// !!! DO NOT EDIT - THIS IS AN AUTO-GENERATED FILE !!!
// Created by amalgamation.sh on 2026-03-09T14:59:44Z

/*
 * The CRoaring project is under a dual license (Apache/MIT).
 * Users of the library may choose one or the other license.
 */
/*
 * Copyright 2016-2022 The CRoaring authors
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *    http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 *
 * SPDX-License-Identifier: Apache-2.0
 */
/*
 * MIT License
 *
 * Copyright 2016-2022 The CRoaring authors
 *
 * Permission is hereby granted, free of charge, to any
 * person obtaining a copy of this software and associated
 * documentation files (the "Software"), to deal in the
 * Software without restriction, including without
 * limitation the rights to use, copy, modify, merge,
 * publish, distribute, sublicense, and/or sell copies of
 * the Software, and to permit persons to whom the Software
 * is furnished to do so, subject to the following
 * conditions:
 *
 * The above copyright notice and this permission notice
 * shall be included in all copies or substantial portions
 * of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF
 * ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED
 * TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A
 * PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT
 * SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
 * CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
 * OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR
 * IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
 * DEALINGS IN THE SOFTWARE.
 *
 * SPDX-License-Identifier: MIT
 */

#include "roaring.h"

/* used for http://dmalloc.com/ Dmalloc - Debug Malloc Library */
#ifdef DMALLOC
#include "dmalloc.h"
#endif

#include "roaring.h"  /* include public API definitions */
/* begin file include/roaring/containers/perfparameters.h */
#ifndef PERFPARAMETERS_H_
#define PERFPARAMETERS_H_

#include <stdbool.h>

#ifdef __cplusplus
extern "C" {
namespace roaring {
namespace internal {
#endif

/**
During lazy computations, we can transform array containers into bitset
containers as
long as we can expect them to have  ARRAY_LAZY_LOWERBOUND values.
*/
enum { ARRAY_LAZY_LOWERBOUND = 1024 };

/* default initial size of a run container
   setting it to zero delays the malloc.*/
enum { RUN_DEFAULT_INIT_SIZE = 0 };

/* default initial size of an array container
   setting it to zero delays the malloc */
enum { ARRAY_DEFAULT_INIT_SIZE = 0 };

/* automatic bitset conversion during lazy or */
#ifndef LAZY_OR_BITSET_CONVERSION
#define LAZY_OR_BITSET_CONVERSION true
#endif

/* automatically attempt to convert a bitset to a full run during lazy
 * evaluation */
#ifndef LAZY_OR_BITSET_CONVERSION_TO_FULL
#define LAZY_OR_BITSET_CONVERSION_TO_FULL true
#endif

/* automatically attempt to convert a bitset to a full run */
#ifndef OR_BITSET_CONVERSION_TO_FULL
#define OR_BITSET_CONVERSION_TO_FULL true
#endif

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace internal {
#endif

#endif
/* end file include/roaring/containers/perfparameters.h */
/* begin file include/roaring/utilasm.h */
/*
 * utilasm.h
 *
 */

#ifndef INCLUDE_UTILASM_H_
#define INCLUDE_UTILASM_H_


#ifdef __cplusplus
extern "C" {
namespace roaring {
#endif

#if defined(CROARING_INLINE_ASM)
#define CROARING_ASMBITMANIPOPTIMIZATION  // optimization flag

#define ASM_SHIFT_RIGHT(srcReg, bitsReg, destReg) \
    __asm volatile("shrx %1, %2, %0"              \
                   : "=r"(destReg)                \
                   :             /* write */      \
                   "r"(bitsReg), /* read only */  \
                   "r"(srcReg)   /* read only */  \
    )

#define ASM_INPLACESHIFT_RIGHT(srcReg, bitsReg)  \
    __asm volatile("shrx %1, %0, %0"             \
                   : "+r"(srcReg)                \
                   :            /* read/write */ \
                   "r"(bitsReg) /* read only */  \
    )

#define ASM_SHIFT_LEFT(srcReg, bitsReg, destReg) \
    __asm volatile("shlx %1, %2, %0"             \
                   : "=r"(destReg)               \
                   :             /* write */     \
                   "r"(bitsReg), /* read only */ \
                   "r"(srcReg)   /* read only */ \
    )
// set bit at position testBit within testByte to 1 and
// copy cmovDst to cmovSrc if that bit was previously clear
#define ASM_SET_BIT_INC_WAS_CLEAR(testByte, testBit, count) \
    __asm volatile(                                         \
        "bts %2, %0\n"                                      \
        "sbb $-1, %1\n"                                     \
        : "+r"(testByte), /* read/write */                  \
          "+r"(count)                                       \
        :            /* read/write */                       \
        "r"(testBit) /* read only */                        \
    )

#define ASM_CLEAR_BIT_DEC_WAS_SET(testByte, testBit, count) \
    __asm volatile(                                         \
        "btr %2, %0\n"                                      \
        "sbb $0, %1\n"                                      \
        : "+r"(testByte), /* read/write */                  \
          "+r"(count)                                       \
        :            /* read/write */                       \
        "r"(testBit) /* read only */                        \
    )

#define ASM_BT64(testByte, testBit, count) \
    __asm volatile(                        \
        "bt %2,%1\n"                       \
        "sbb %0,%0" /*could use setb */    \
        : "=r"(count)                      \
        :              /* write */         \
        "r"(testByte), /* read only */     \
        "r"(testBit)   /* read only */     \
    )

#endif

#ifdef __cplusplus
}
}  // extern "C" { namespace roaring {
#endif

#endif /* INCLUDE_UTILASM_H_ */
/* end file include/roaring/utilasm.h */
/* begin file include/roaring/art/art.h */
#ifndef ART_ART_H
#define ART_ART_H

#include <stdbool.h>
#include <stddef.h>
#include <stdint.h>

/*
 * This file contains an implementation of an Adaptive Radix Tree as described
 * in https://db.in.tum.de/~leis/papers/ART.pdf.
 *
 * The ART contains the keys in _byte lexographical_ order.
 *
 * Other features:
 *  * Fixed 48 bit key length: all keys are assumed to be be 48 bits in size.
 *    This allows us to put the key and key prefixes directly in nodes, reducing
 *    indirection at no additional memory overhead.
 *  * Key compression: the only inner nodes created are at points where key
 *    chunks _differ_. This means that if there are two entries with different
 *    high 48 bits, then there is only one inner node containing the common key
 *    prefix, and two leaves.
 *  * Mostly pointer-free: nodes are referred to by index rather than pointer,
 *    so that the structure can be deserialized with a backing buffer.
 */

// Fixed length of keys in the ART. All keys are assumed to be of this length.
#define ART_KEY_BYTES 6

#ifdef __cplusplus
extern "C" {
namespace roaring {
namespace internal {
#endif

typedef uint8_t art_key_chunk_t;

// Internal node reference type. Contains the node typecode in the low 8 bits,
// and the index in the relevant node array in the high 48 bits. Has a value of
// CROARING_ART_NULL_REF when pointing to a non-existent node.
typedef uint64_t art_ref_t;

typedef void art_node_t;

/**
 * The ART is empty when root is a null ref.
 *
 * Each node type has its own dynamic array of node structs, indexed by
 * art_ref_t. The arrays are expanded as needed, and shrink only when
 * `shrink_to_fit` is called.
 */
typedef struct art_s {
    art_ref_t root;

    // Indexed by node typecode, thus 1 larger than they need to be for
    // convenience. `first_free` indicates the index where the first free node
    // lives, which may be equal to the capacity.
    uint64_t first_free[6];
    uint64_t capacities[6];
    art_node_t *nodes[6];
} art_t;

typedef uint64_t art_val_t;

/**
 * Compares two keys, returns their relative order:
 *  * Key 1 <  key 2: returns a negative value
 *  * Key 1 == key 2: returns 0
 *  * Key 1 >  key 2: returns a positive value
 */
int art_compare_keys(const art_key_chunk_t key1[],
                     const art_key_chunk_t key2[]);

/**
 * Initializes the ART.
 */
void art_init_cleared(art_t *art);

/**
 * Inserts the given key and value. Returns a pointer to the value inserted,
 * valid as long as the ART is not modified.
 */
art_val_t *art_insert(art_t *art, const art_key_chunk_t *key, art_val_t val);

/**
 * Returns true if a value was erased. Sets `*erased_val` to the value erased,
 * if any.
 */
bool art_erase(art_t *art, const art_key_chunk_t *key, art_val_t *erased_val);

/**
 * Returns the value associated with the given key, NULL if not found.
 */
art_val_t *art_find(const art_t *art, const art_key_chunk_t *key);

/**
 * Returns true if the ART is empty.
 */
bool art_is_empty(const art_t *art);

/**
 * Frees the contents of the ART. Should not be called when using
 * `art_deserialize_frozen_safe`.
 */
void art_free(art_t *art);

/**
 * Prints the ART using printf, useful for debugging.
 */
void art_printf(const art_t *art);

/**
 * Callback for validating the value stored in a leaf. `context` is a
 * user-provided value passed to the callback without modification.
 *
 * Should return true if the value is valid, false otherwise
 * If false is returned, `*reason` should be set to a static string describing
 * the reason for the failure.
 */
typedef bool (*art_validate_cb_t)(const art_val_t val, const char **reason,
                                  void *context);

/**
 * Validate the ART tree, ensuring it is internally consistent. `context` is a
 * user-provided value passed to the callback without modification.
 */
bool art_internal_validate(const art_t *art, const char **reason,
                           art_validate_cb_t validate_cb, void *context);

/**
 * ART-internal iterator bookkeeping. Users should treat this as an opaque type.
 */
typedef struct art_iterator_frame_s {
    art_ref_t ref;
    uint8_t index_in_node;
} art_iterator_frame_t;

/**
 * Users should only access `key` and `value` in iterators. The iterator is
 * valid when `value != NULL`.
 */
typedef struct art_iterator_s {
    art_key_chunk_t key[ART_KEY_BYTES];
    art_val_t *value;

    art_t *art;

    uint8_t depth;  // Key depth
    uint8_t frame;  // Node depth

    // State for each node in the ART the iterator has travelled from the root.
    // This is `ART_KEY_BYTES + 1` because it includes state for the leaf too.
    art_iterator_frame_t frames[ART_KEY_BYTES + 1];
} art_iterator_t;

/**
 * Creates an iterator initialzed to the first or last entry in the ART,
 * depending on `first`. The iterator is not valid if there are no entries in
 * the ART.
 */
art_iterator_t art_init_iterator(art_t *art, bool first);

/**
 * Returns an initialized iterator positioned at a key equal to or greater than
 * the given key, if it exists.
 */
art_iterator_t art_lower_bound(art_t *art, const art_key_chunk_t *key);

/**
 * Returns an initialized iterator positioned at a key greater than the given
 * key, if it exists.
 */
art_iterator_t art_upper_bound(art_t *art, const art_key_chunk_t *key);

/**
 * The following iterator movement functions return true if a new entry was
 * encountered.
 */
bool art_iterator_move(art_iterator_t *iterator, bool forward);
bool art_iterator_next(art_iterator_t *iterator);
bool art_iterator_prev(art_iterator_t *iterator);

/**
 * Moves the iterator forward to a key equal to or greater than the given key.
 */
bool art_iterator_lower_bound(art_iterator_t *iterator,
                              const art_key_chunk_t *key);

/**
 * Insert the value and positions the iterator at the key.
 */
void art_iterator_insert(art_iterator_t *iterator, const art_key_chunk_t *key,
                         art_val_t val);

/**
 * Erase the value pointed at by the iterator. Moves the iterator to the next
 * leaf.
 * Returns true if a value was erased. Sets `*erased_val` to the value erased,
 * if any.
 */
bool art_iterator_erase(art_iterator_t *iterator, art_val_t *erased_val);

/**
 * Shrinks the internal arrays in the ART to remove any unused elements. Returns
 * the number of bytes freed.
 */
size_t art_shrink_to_fit(art_t *art);

/**
 * Returns true if the ART has no unused elements.
 */
bool art_is_shrunken(const art_t *art);

/**
 * Returns the serialized size in bytes.
 * Requires `art_shrink_to_fit` to be called first.
 */
size_t art_size_in_bytes(const art_t *art);

/**
 * Serializes the ART and returns the number of bytes written. Returns 0 on
 * error. Requires `art_shrink_to_fit` to be called first.
 */
size_t art_serialize(const art_t *art, char *buf);

/**
 * Deserializes the ART from a serialized buffer, reading up to `maxbytes`
 * bytes. Returns 0 on error. Requires `buf` to be 8 byte aligned.
 *
 * An ART deserialized in this way should only be used in a readonly context.The
 * underlying buffer must not be freed before the ART. `art_free` should not be
 * called on the ART deserialized in this way.
 */
size_t art_frozen_view(const char *buf, size_t maxbytes, art_t *art);

#ifdef __cplusplus
}  // extern "C"
}  // namespace roaring
}  // namespace internal
#endif

#endif
/* end file include/roaring/art/art.h */
/* begin file src/array_util.c */
#include <assert.h>
#include <stdbool.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>


#if CROARING_IS_X64
#ifndef CROARING_COMPILER_SUPPORTS_AVX512
#error "CROARING_COMPILER_SUPPORTS_AVX512 needs to be defined."
#endif  // CROARING_COMPILER_SUPPORTS_AVX512
#endif

#if defined(__GNUC__) && !defined(__clang__)
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wuninitialized"
#pragma GCC diagnostic ignored "-Wmaybe-uninitialized"
#endif
#ifdef __cplusplus
using namespace ::roaring::internal;
extern "C" {
namespace roaring {
namespace internal {
#endif

extern inline int32_t binarySearch(const uint16_t *array, int32_t lenarray,
                                   uint16_t ikey);

#if CROARING_IS_X64
// used by intersect_vector16
ALIGNED(0x1000)
static const uint8_t shuffle_mask16[] = {
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    4,    5,    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    4,    5,    0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 6,    7,    0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    6,    7,    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    6,    7,    0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    6,    7,    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    4,    5,    6,    7,    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,    6,    7,    0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,
    6,    7,    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    4,    5,    6,    7,    0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 8,    9,    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    8,    9,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    8,    9,    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    8,    9,    0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    8,    9,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    4,    5,    8,    9,    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,    8,    9,    0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    4,    5,    8,    9,    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    6,    7,    8,    9,    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    6,    7,    8,    9,    0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    6,    7,
    8,    9,    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    6,    7,    8,    9,    0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    6,    7,    8,    9,    0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,
    6,    7,    8,    9,    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    4,    5,    6,    7,    8,    9,    0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    4,    5,    6,    7,
    8,    9,    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 10,   11,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    10,   11,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    10,   11,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    10,   11,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    4,    5,    10,   11,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,    10,   11,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,
    10,   11,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    4,    5,    10,   11,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 6,    7,    10,   11,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    6,    7,
    10,   11,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    6,    7,    10,   11,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    6,    7,    10,   11,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    6,    7,
    10,   11,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    4,    5,    6,    7,    10,   11,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,    6,    7,    10,   11,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    4,    5,    6,    7,    10,   11,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    8,    9,    10,   11,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    8,    9,    10,   11,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    8,    9,
    10,   11,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    8,    9,    10,   11,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    8,    9,    10,   11,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,
    8,    9,    10,   11,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    4,    5,    8,    9,    10,   11,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    4,    5,    8,    9,
    10,   11,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 6,    7,    8,    9,
    10,   11,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    6,    7,    8,    9,    10,   11,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    6,    7,    8,    9,    10,   11,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    6,    7,    8,    9,    10,   11,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    4,    5,    6,    7,    8,    9,    10,   11,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,    6,    7,    8,    9,
    10,   11,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,
    6,    7,    8,    9,    10,   11,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    4,    5,    6,    7,    8,    9,    10,   11,
    0xFF, 0xFF, 0xFF, 0xFF, 12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    12,   13,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    12,   13,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    12,   13,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    4,    5,    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,    12,   13,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    4,    5,    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    6,    7,    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    6,    7,    12,   13,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    6,    7,
    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    6,    7,    12,   13,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    6,    7,    12,   13,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,
    6,    7,    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    4,    5,    6,    7,    12,   13,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    4,    5,    6,    7,
    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 8,    9,    12,   13,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    8,    9,    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    8,    9,    12,   13,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    8,    9,    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    4,    5,    8,    9,    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,    8,    9,    12,   13,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,
    8,    9,    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    4,    5,    8,    9,    12,   13,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 6,    7,    8,    9,    12,   13,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    6,    7,
    8,    9,    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    6,    7,    8,    9,    12,   13,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    6,    7,    8,    9,
    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    6,    7,
    8,    9,    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    4,    5,    6,    7,    8,    9,    12,   13,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,    6,    7,    8,    9,
    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    4,    5,    6,    7,    8,    9,    12,   13,   0xFF, 0xFF, 0xFF, 0xFF,
    10,   11,   12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    10,   11,   12,   13,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    10,   11,
    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    10,   11,   12,   13,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    10,   11,   12,   13,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,
    10,   11,   12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    4,    5,    10,   11,   12,   13,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    4,    5,    10,   11,
    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 6,    7,    10,   11,
    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    6,    7,    10,   11,   12,   13,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    6,    7,    10,   11,   12,   13,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    6,    7,    10,   11,   12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    4,    5,    6,    7,    10,   11,   12,   13,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,    6,    7,    10,   11,
    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,
    6,    7,    10,   11,   12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    4,    5,    6,    7,    10,   11,   12,   13,
    0xFF, 0xFF, 0xFF, 0xFF, 8,    9,    10,   11,   12,   13,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    8,    9,
    10,   11,   12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    8,    9,    10,   11,   12,   13,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    8,    9,    10,   11,
    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    8,    9,
    10,   11,   12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    4,    5,    8,    9,    10,   11,   12,   13,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,    8,    9,    10,   11,
    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    4,    5,    8,    9,    10,   11,   12,   13,   0xFF, 0xFF, 0xFF, 0xFF,
    6,    7,    8,    9,    10,   11,   12,   13,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    6,    7,    8,    9,    10,   11,
    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    6,    7,
    8,    9,    10,   11,   12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    6,    7,    8,    9,    10,   11,   12,   13,
    0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    6,    7,    8,    9,    10,   11,
    12,   13,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,
    6,    7,    8,    9,    10,   11,   12,   13,   0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    4,    5,    6,    7,    8,    9,    10,   11,   12,   13,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    4,    5,    6,    7,
    8,    9,    10,   11,   12,   13,   0xFF, 0xFF, 14,   15,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    4,    5,    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,    14,   15,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    4,    5,    14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 6,    7,    14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    6,    7,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    6,    7,    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    6,    7,    14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    6,    7,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    4,    5,    6,    7,    14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,    6,    7,    14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    4,    5,    6,    7,    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    8,    9,    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    8,    9,    14,   15,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    8,    9,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    8,    9,    14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    8,    9,    14,   15,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,
    8,    9,    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    4,    5,    8,    9,    14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    4,    5,    8,    9,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 6,    7,    8,    9,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    6,    7,    8,    9,    14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    6,    7,    8,    9,    14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    6,    7,    8,    9,    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    4,    5,    6,    7,    8,    9,    14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,    6,    7,    8,    9,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,
    6,    7,    8,    9,    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    4,    5,    6,    7,    8,    9,    14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 10,   11,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    10,   11,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    10,   11,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    10,   11,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    10,   11,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    4,    5,    10,   11,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,    10,   11,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    4,    5,    10,   11,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    6,    7,    10,   11,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    6,    7,    10,   11,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    6,    7,
    10,   11,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    6,    7,    10,   11,   14,   15,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    6,    7,    10,   11,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,
    6,    7,    10,   11,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    4,    5,    6,    7,    10,   11,   14,   15,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    4,    5,    6,    7,
    10,   11,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 8,    9,    10,   11,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    8,    9,    10,   11,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    8,    9,    10,   11,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    8,    9,    10,   11,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    4,    5,    8,    9,    10,   11,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,    8,    9,    10,   11,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,
    8,    9,    10,   11,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    4,    5,    8,    9,    10,   11,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 6,    7,    8,    9,    10,   11,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    6,    7,
    8,    9,    10,   11,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    6,    7,    8,    9,    10,   11,   14,   15,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    6,    7,    8,    9,
    10,   11,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    6,    7,
    8,    9,    10,   11,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    4,    5,    6,    7,    8,    9,    10,   11,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,    6,    7,    8,    9,
    10,   11,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    4,    5,    6,    7,    8,    9,    10,   11,   14,   15,   0xFF, 0xFF,
    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    12,   13,   14,   15,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    12,   13,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    12,   13,   14,   15,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,
    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    4,    5,    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    4,    5,    12,   13,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 6,    7,    12,   13,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    6,    7,    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    6,    7,    12,   13,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    6,    7,    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    4,    5,    6,    7,    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,    6,    7,    12,   13,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,
    6,    7,    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    4,    5,    6,    7,    12,   13,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 8,    9,    12,   13,   14,   15,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    8,    9,
    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    8,    9,    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    8,    9,    12,   13,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    8,    9,
    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    4,    5,    8,    9,    12,   13,   14,   15,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,    8,    9,    12,   13,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    4,    5,    8,    9,    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    6,    7,    8,    9,    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    6,    7,    8,    9,    12,   13,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    6,    7,
    8,    9,    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    6,    7,    8,    9,    12,   13,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    6,    7,    8,    9,    12,   13,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,
    6,    7,    8,    9,    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    4,    5,    6,    7,    8,    9,    12,   13,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    4,    5,    6,    7,
    8,    9,    12,   13,   14,   15,   0xFF, 0xFF, 10,   11,   12,   13,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    10,   11,   12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    10,   11,   12,   13,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    10,   11,   12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    4,    5,    10,   11,   12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,    10,   11,   12,   13,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,
    10,   11,   12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    4,    5,    10,   11,   12,   13,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 6,    7,    10,   11,   12,   13,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    6,    7,
    10,   11,   12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    6,    7,    10,   11,   12,   13,   14,   15,   0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    6,    7,    10,   11,
    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    6,    7,
    10,   11,   12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    4,    5,    6,    7,    10,   11,   12,   13,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    4,    5,    6,    7,    10,   11,
    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    4,    5,    6,    7,    10,   11,   12,   13,   14,   15,   0xFF, 0xFF,
    8,    9,    10,   11,   12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    8,    9,    10,   11,   12,   13,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    8,    9,
    10,   11,   12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    2,    3,    8,    9,    10,   11,   12,   13,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 4,    5,    8,    9,    10,   11,   12,   13,
    14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,
    8,    9,    10,   11,   12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF,
    2,    3,    4,    5,    8,    9,    10,   11,   12,   13,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,    4,    5,    8,    9,
    10,   11,   12,   13,   14,   15,   0xFF, 0xFF, 6,    7,    8,    9,
    10,   11,   12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0,    1,    6,    7,    8,    9,    10,   11,   12,   13,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 2,    3,    6,    7,    8,    9,    10,   11,
    12,   13,   14,   15,   0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    2,    3,
    6,    7,    8,    9,    10,   11,   12,   13,   14,   15,   0xFF, 0xFF,
    4,    5,    6,    7,    8,    9,    10,   11,   12,   13,   14,   15,
    0xFF, 0xFF, 0xFF, 0xFF, 0,    1,    4,    5,    6,    7,    8,    9,
    10,   11,   12,   13,   14,   15,   0xFF, 0xFF, 2,    3,    4,    5,
    6,    7,    8,    9,    10,   11,   12,   13,   14,   15,   0xFF, 0xFF,
    0,    1,    2,    3,    4,    5,    6,    7,    8,    9,    10,   11,
    12,   13,   14,   15};

/**
 * From Schlegel et al., Fast Sorted-Set Intersection using SIMD Instructions
 * Optimized by D. Lemire on May 3rd 2013
 */
CROARING_TARGET_AVX2
int32_t intersect_vector16(const uint16_t *A, size_t s_a, const uint16_t *B,
                           size_t s_b, uint16_t *C) {
    size_t count = 0;
    size_t i_a = 0, i_b = 0;
    const int vectorlength = sizeof(__m128i) / sizeof(uint16_t);
    const size_t st_a = (s_a / vectorlength) * vectorlength;
    const size_t st_b = (s_b / vectorlength) * vectorlength;
    __m128i v_a, v_b;
    if ((i_a < st_a) && (i_b < st_b)) {
        v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
        v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
        while ((A[i_a] == 0) || (B[i_b] == 0)) {
            const __m128i res_v = _mm_cmpestrm(
                v_b, vectorlength, v_a, vectorlength,
                _SIDD_UWORD_OPS | _SIDD_CMP_EQUAL_ANY | _SIDD_BIT_MASK);
            const int r = _mm_extract_epi32(res_v, 0);
            __m128i sm16 = _mm_loadu_si128((const __m128i *)shuffle_mask16 + r);
            __m128i p = _mm_shuffle_epi8(v_a, sm16);
            _mm_storeu_si128((__m128i *)&C[count], p);  // can overflow
            count += _mm_popcnt_u32(r);
            const uint16_t a_max = A[i_a + vectorlength - 1];
            const uint16_t b_max = B[i_b + vectorlength - 1];
            if (a_max <= b_max) {
                i_a += vectorlength;
                if (i_a == st_a) break;
                v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
            }
            if (b_max <= a_max) {
                i_b += vectorlength;
                if (i_b == st_b) break;
                v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
            }
        }
        if ((i_a < st_a) && (i_b < st_b))
            while (true) {
                const __m128i res_v = _mm_cmpistrm(
                    v_b, v_a,
                    _SIDD_UWORD_OPS | _SIDD_CMP_EQUAL_ANY | _SIDD_BIT_MASK);
                const int r = _mm_extract_epi32(res_v, 0);
                __m128i sm16 =
                    _mm_loadu_si128((const __m128i *)shuffle_mask16 + r);
                __m128i p = _mm_shuffle_epi8(v_a, sm16);
                _mm_storeu_si128((__m128i *)&C[count], p);  // can overflow
                count += _mm_popcnt_u32(r);
                const uint16_t a_max = A[i_a + vectorlength - 1];
                const uint16_t b_max = B[i_b + vectorlength - 1];
                if (a_max <= b_max) {
                    i_a += vectorlength;
                    if (i_a == st_a) break;
                    v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
                }
                if (b_max <= a_max) {
                    i_b += vectorlength;
                    if (i_b == st_b) break;
                    v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
                }
            }
    }
    // intersect the tail using scalar intersection
    while (i_a < s_a && i_b < s_b) {
        uint16_t a = A[i_a];
        uint16_t b = B[i_b];
        if (a < b) {
            i_a++;
        } else if (b < a) {
            i_b++;
        } else {
            C[count] = a;  //==b;
            count++;
            i_a++;
            i_b++;
        }
    }
    return (int32_t)count;
}

CROARING_ALLOW_UNALIGNED
int array_container_to_uint32_array_vector16(void *vout, const uint16_t *array,
                                             size_t cardinality,
                                             uint32_t base) {
    int outpos = 0;
    uint32_t *out = (uint32_t *)vout;
    size_t i = 0;
    for (; i + sizeof(__m128i) / sizeof(uint16_t) <= cardinality;
         i += sizeof(__m128i) / sizeof(uint16_t)) {
        __m128i vinput = _mm_loadu_si128((const __m128i *)(array + i));
        __m256i voutput = _mm256_add_epi32(_mm256_cvtepu16_epi32(vinput),
                                           _mm256_set1_epi32(base));
        _mm256_storeu_si256((__m256i *)(out + outpos), voutput);
        outpos += sizeof(__m256i) / sizeof(uint32_t);
    }
    for (; i < cardinality; ++i) {
        const uint32_t val = base + array[i];
        memcpy(out + outpos, &val,
               sizeof(uint32_t));  // should be compiled as a MOV on x64
        outpos++;
    }
    return outpos;
}

int32_t intersect_vector16_inplace(uint16_t *A, size_t s_a, const uint16_t *B,
                                   size_t s_b) {
    size_t count = 0;
    size_t i_a = 0, i_b = 0;
    const int vectorlength = sizeof(__m128i) / sizeof(uint16_t);
    const size_t st_a = (s_a / vectorlength) * vectorlength;
    const size_t st_b = (s_b / vectorlength) * vectorlength;
    __m128i v_a, v_b;
    if ((i_a < st_a) && (i_b < st_b)) {
        v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
        v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
        __m128i tmp[2] = {_mm_setzero_si128()};
        size_t tmp_count = 0;
        while ((A[i_a] == 0) || (B[i_b] == 0)) {
            const __m128i res_v = _mm_cmpestrm(
                v_b, vectorlength, v_a, vectorlength,
                _SIDD_UWORD_OPS | _SIDD_CMP_EQUAL_ANY | _SIDD_BIT_MASK);
            const int r = _mm_extract_epi32(res_v, 0);
            __m128i sm16 = _mm_loadu_si128((const __m128i *)shuffle_mask16 + r);
            __m128i p = _mm_shuffle_epi8(v_a, sm16);
            _mm_storeu_si128((__m128i *)&((uint16_t *)tmp)[tmp_count], p);
            tmp_count += _mm_popcnt_u32(r);
            const uint16_t a_max = A[i_a + vectorlength - 1];
            const uint16_t b_max = B[i_b + vectorlength - 1];
            if (a_max <= b_max) {
                _mm_storeu_si128((__m128i *)&A[count], tmp[0]);
                _mm_storeu_si128(tmp, _mm_setzero_si128());
                count += tmp_count;
                tmp_count = 0;
                i_a += vectorlength;
                if (i_a == st_a) break;
                v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
            }
            if (b_max <= a_max) {
                i_b += vectorlength;
                if (i_b == st_b) break;
                v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
            }
        }
        if ((i_a < st_a) && (i_b < st_b)) {
            while (true) {
                const __m128i res_v = _mm_cmpistrm(
                    v_b, v_a,
                    _SIDD_UWORD_OPS | _SIDD_CMP_EQUAL_ANY | _SIDD_BIT_MASK);
                const int r = _mm_extract_epi32(res_v, 0);
                __m128i sm16 =
                    _mm_loadu_si128((const __m128i *)shuffle_mask16 + r);
                __m128i p = _mm_shuffle_epi8(v_a, sm16);
                _mm_storeu_si128((__m128i *)&((uint16_t *)tmp)[tmp_count], p);
                tmp_count += _mm_popcnt_u32(r);
                const uint16_t a_max = A[i_a + vectorlength - 1];
                const uint16_t b_max = B[i_b + vectorlength - 1];
                if (a_max <= b_max) {
                    _mm_storeu_si128((__m128i *)&A[count], tmp[0]);
                    _mm_storeu_si128(tmp, _mm_setzero_si128());
                    count += tmp_count;
                    tmp_count = 0;
                    i_a += vectorlength;
                    if (i_a == st_a) break;
                    v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
                }
                if (b_max <= a_max) {
                    i_b += vectorlength;
                    if (i_b == st_b) break;
                    v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
                }
            }
        }
        // tmp_count <= 8, so this does not affect efficiency so much
        for (size_t i = 0; i < tmp_count; i++) {
            A[count] = ((uint16_t *)tmp)[i];
            count++;
        }
        i_a += tmp_count;  // We can at least jump pass $tmp_count elements in A
    }
    // intersect the tail using scalar intersection
    while (i_a < s_a && i_b < s_b) {
        uint16_t a = A[i_a];
        uint16_t b = B[i_b];
        if (a < b) {
            i_a++;
        } else if (b < a) {
            i_b++;
        } else {
            A[count] = a;  //==b;
            count++;
            i_a++;
            i_b++;
        }
    }
    return (int32_t)count;
}
CROARING_UNTARGET_AVX2

CROARING_TARGET_AVX2
int32_t intersect_vector16_cardinality(const uint16_t *A, size_t s_a,
                                       const uint16_t *B, size_t s_b) {
    size_t count = 0;
    size_t i_a = 0, i_b = 0;
    const int vectorlength = sizeof(__m128i) / sizeof(uint16_t);
    const size_t st_a = (s_a / vectorlength) * vectorlength;
    const size_t st_b = (s_b / vectorlength) * vectorlength;
    __m128i v_a, v_b;
    if ((i_a < st_a) && (i_b < st_b)) {
        v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
        v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
        while ((A[i_a] == 0) || (B[i_b] == 0)) {
            const __m128i res_v = _mm_cmpestrm(
                v_b, vectorlength, v_a, vectorlength,
                _SIDD_UWORD_OPS | _SIDD_CMP_EQUAL_ANY | _SIDD_BIT_MASK);
            const int r = _mm_extract_epi32(res_v, 0);
            count += _mm_popcnt_u32(r);
            const uint16_t a_max = A[i_a + vectorlength - 1];
            const uint16_t b_max = B[i_b + vectorlength - 1];
            if (a_max <= b_max) {
                i_a += vectorlength;
                if (i_a == st_a) break;
                v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
            }
            if (b_max <= a_max) {
                i_b += vectorlength;
                if (i_b == st_b) break;
                v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
            }
        }
        if ((i_a < st_a) && (i_b < st_b))
            while (true) {
                const __m128i res_v = _mm_cmpistrm(
                    v_b, v_a,
                    _SIDD_UWORD_OPS | _SIDD_CMP_EQUAL_ANY | _SIDD_BIT_MASK);
                const int r = _mm_extract_epi32(res_v, 0);
                count += _mm_popcnt_u32(r);
                const uint16_t a_max = A[i_a + vectorlength - 1];
                const uint16_t b_max = B[i_b + vectorlength - 1];
                if (a_max <= b_max) {
                    i_a += vectorlength;
                    if (i_a == st_a) break;
                    v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
                }
                if (b_max <= a_max) {
                    i_b += vectorlength;
                    if (i_b == st_b) break;
                    v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
                }
            }
    }
    // intersect the tail using scalar intersection
    while (i_a < s_a && i_b < s_b) {
        uint16_t a = A[i_a];
        uint16_t b = B[i_b];
        if (a < b) {
            i_a++;
        } else if (b < a) {
            i_b++;
        } else {
            count++;
            i_a++;
            i_b++;
        }
    }
    return (int32_t)count;
}
CROARING_UNTARGET_AVX2

CROARING_TARGET_AVX2
/////////
// Warning:
// This function may not be safe if A == C or B == C.
/////////
int32_t difference_vector16(const uint16_t *A, size_t s_a, const uint16_t *B,
                            size_t s_b, uint16_t *C) {
    // we handle the degenerate case
    if (s_a == 0) return 0;
    if (s_b == 0) {
        if (A != C) memcpy(C, A, sizeof(uint16_t) * s_a);
        return (int32_t)s_a;
    }
    // handle the leading zeroes, it is messy but it allows us to use the fast
    // _mm_cmpistrm instrinsic safely
    int32_t count = 0;
    if ((A[0] == 0) || (B[0] == 0)) {
        if ((A[0] == 0) && (B[0] == 0)) {
            A++;
            s_a--;
            B++;
            s_b--;
        } else if (A[0] == 0) {
            C[count++] = 0;
            A++;
            s_a--;
        } else {
            B++;
            s_b--;
        }
    }
    // at this point, we have two non-empty arrays, made of non-zero
    // increasing values.
    size_t i_a = 0, i_b = 0;
    const size_t vectorlength = sizeof(__m128i) / sizeof(uint16_t);
    const size_t st_a = (s_a / vectorlength) * vectorlength;
    const size_t st_b = (s_b / vectorlength) * vectorlength;
    if ((i_a < st_a) && (i_b < st_b)) {  // this is the vectorized code path
        __m128i v_a, v_b;                //, v_bmax;
        // we load a vector from A and a vector from B
        v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
        v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
        // we have a runningmask which indicates which values from A have been
        // spotted in B, these don't get written out.
        __m128i runningmask_a_found_in_b = _mm_setzero_si128();
        /****
         * start of the main vectorized loop
         *****/
        while (true) {
            // afoundinb will contain a mask indicate for each entry in A
            // whether it is seen
            // in B
            const __m128i a_found_in_b = _mm_cmpistrm(
                v_b, v_a,
                _SIDD_UWORD_OPS | _SIDD_CMP_EQUAL_ANY | _SIDD_BIT_MASK);
            runningmask_a_found_in_b =
                _mm_or_si128(runningmask_a_found_in_b, a_found_in_b);
            // we always compare the last values of A and B
            const uint16_t a_max = A[i_a + vectorlength - 1];
            const uint16_t b_max = B[i_b + vectorlength - 1];
            if (a_max <= b_max) {
                // Ok. In this code path, we are ready to write our v_a
                // because there is no need to read more from B, they will
                // all be large values.
                const int bitmask_belongs_to_difference =
                    _mm_extract_epi32(runningmask_a_found_in_b, 0) ^ 0xFF;
                /*** next few lines are probably expensive *****/
                __m128i sm16 = _mm_loadu_si128((const __m128i *)shuffle_mask16 +
                                               bitmask_belongs_to_difference);
                __m128i p = _mm_shuffle_epi8(v_a, sm16);
                _mm_storeu_si128((__m128i *)&C[count], p);  // can overflow
                count += _mm_popcnt_u32(bitmask_belongs_to_difference);
                // we advance a
                i_a += vectorlength;
                if (i_a == st_a)  // no more
                    break;
                runningmask_a_found_in_b = _mm_setzero_si128();
                v_a = _mm_lddqu_si128((__m128i *)&A[i_a]);
            }
            if (b_max <= a_max) {
                // in this code path, the current v_b has become useless
                i_b += vectorlength;
                if (i_b == st_b) break;
                v_b = _mm_lddqu_si128((__m128i *)&B[i_b]);
            }
        }
        // at this point, either we have i_a == st_a, which is the end of the
        // vectorized processing,
        // or we have i_b == st_b,  and we are not done processing the vector...
        // so we need to finish it off.
        if (i_a < st_a) {        // we have unfinished business...
            uint16_t buffer[8];  // buffer to do a masked load
            memset(buffer, 0, 8 * sizeof(uint16_t));
            memcpy(buffer, B + i_b, (s_b - i_b) * sizeof(uint16_t));
            v_b = _mm_lddqu_si128((__m128i *)buffer);
            const __m128i a_found_in_b = _mm_cmpistrm(
                v_b, v_a,
                _SIDD_UWORD_OPS | _SIDD_CMP_EQUAL_ANY | _SIDD_BIT_MASK);
            runningmask_a_found_in_b =
                _mm_or_si128(runningmask_a_found_in_b, a_found_in_b);
            const int bitmask_belongs_to_difference =
                _mm_extract_epi32(runningmask_a_found_in_b, 0) ^ 0xFF;
            __m128i sm16 = _mm_loadu_si128((const __m128i *)shuffle_mask16 +
                                           bitmask_belongs_to_difference);
            __m128i p = _mm_shuffle_epi8(v_a, sm16);
            _mm_storeu_si128((__m128i *)&C[count], p);  // can overflow
            count += _mm_popcnt_u32(bitmask_belongs_to_difference);
            i_a += vectorlength;
        }
        // at this point we should have i_a == st_a and i_b == st_b
    }
    // do the tail using scalar code
    while (i_a < s_a && i_b < s_b) {
        uint16_t a = A[i_a];
        uint16_t b = B[i_b];
        if (b < a) {
            i_b++;
        } else if (a < b) {
            C[count] = a;
            count++;
            i_a++;
        } else {  //==
            i_a++;
            i_b++;
        }
    }
    if (i_a < s_a) {
        if (C == A) {
            assert((size_t)count <= i_a);
            if ((size_t)count < i_a) {
                memmove(C + count, A + i_a, sizeof(uint16_t) * (s_a - i_a));
            }
        } else {
            for (size_t i = 0; i < (s_a - i_a); i++) {
                C[count + i] = A[i + i_a];
            }
        }
        count += (int32_t)(s_a - i_a);
    }
    return count;
}
CROARING_UNTARGET_AVX2
#endif  // CROARING_IS_X64

/**
 * Branchless binary search going after 4 values at once.
 * Assumes that array is sorted.
 * You have that array[*index1] >= target1, array[*index12] >= target2, ...
 * except when *index1 = n, in which case you know that all values in array are
 * smaller than target1, and so forth.
 * It has logarithmic complexity.
 */
static void binarySearch4(const uint16_t *array, int32_t n, uint16_t target1,
                          uint16_t target2, uint16_t target3, uint16_t target4,
                          int32_t *index1, int32_t *index2, int32_t *index3,
                          int32_t *index4) {
    const uint16_t *base1 = array;
    const uint16_t *base2 = array;
    const uint16_t *base3 = array;
    const uint16_t *base4 = array;
    if (n == 0) return;
    while (n > 1) {
        int32_t half = n >> 1;
        base1 = (base1[half] < target1) ? &base1[half] : base1;
        base2 = (base2[half] < target2) ? &base2[half] : base2;
        base3 = (base3[half] < target3) ? &base3[half] : base3;
        base4 = (base4[half] < target4) ? &base4[half] : base4;
        n -= half;
    }
    *index1 = (int32_t)((*base1 < target1) + base1 - array);
    *index2 = (int32_t)((*base2 < target2) + base2 - array);
    *index3 = (int32_t)((*base3 < target3) + base3 - array);
    *index4 = (int32_t)((*base4 < target4) + base4 - array);
}

/**
 * Branchless binary search going after 2 values at once.
 * Assumes that array is sorted.
 * You have that array[*index1] >= target1, array[*index12] >= target2.
 * except when *index1 = n, in which case you know that all values in array are
 * smaller than target1, and so forth.
 * It has logarithmic complexity.
 */
static void binarySearch2(const uint16_t *array, int32_t n, uint16_t target1,
                          uint16_t target2, int32_t *index1, int32_t *index2) {
    const uint16_t *base1 = array;
    const uint16_t *base2 = array;
    if (n == 0) return;
    while (n > 1) {
        int32_t half = n >> 1;
        base1 = (base1[half] < target1) ? &base1[half] : base1;
        base2 = (base2[half] < target2) ? &base2[half] : base2;
        n -= half;
    }
    *index1 = (int32_t)((*base1 < target1) + base1 - array);
    *index2 = (int32_t)((*base2 < target2) + base2 - array);
}

/* Computes the intersection between one small and one large set of uint16_t.
 * Stores the result into buffer and return the number of elements.
 * Processes the small set in blocks of 4 values calling binarySearch4
 * and binarySearch2. This approach can be slightly superior to a conventional
 * galloping search in some instances.
 */
int32_t intersect_skewed_uint16(const uint16_t *small, size_t size_s,
                                const uint16_t *large, size_t size_l,
                                uint16_t *buffer) {
    size_t pos = 0, idx_l = 0, idx_s = 0;

    if (0 == size_s) {
        return 0;
    }
    int32_t index1 = 0, index2 = 0, index3 = 0, index4 = 0;
    while ((idx_s + 4 <= size_s) && (idx_l < size_l)) {
        uint16_t target1 = small[idx_s];
        uint16_t target2 = small[idx_s + 1];
        uint16_t target3 = small[idx_s + 2];
        uint16_t target4 = small[idx_s + 3];
        binarySearch4(large + idx_l, (int32_t)(size_l - idx_l), target1,
                      target2, target3, target4, &index1, &index2, &index3,
                      &index4);
        if ((index1 + idx_l < size_l) && (large[idx_l + index1] == target1)) {
            buffer[pos++] = target1;
        }
        if ((index2 + idx_l < size_l) && (large[idx_l + index2] == target2)) {
            buffer[pos++] = target2;
        }
        if ((index3 + idx_l < size_l) && (large[idx_l + index3] == target3)) {
            buffer[pos++] = target3;
        }
        if ((index4 + idx_l < size_l) && (large[idx_l + index4] == target4)) {
            buffer[pos++] = target4;
        }
        idx_s += 4;
        idx_l += index4;
    }
    if ((idx_s + 2 <= size_s) && (idx_l < size_l)) {
        uint16_t target1 = small[idx_s];
        uint16_t target2 = small[idx_s + 1];
        binarySearch2(large + idx_l, (int32_t)(size_l - idx_l), target1,
                      target2, &index1, &index2);
        if ((index1 + idx_l < size_l) && (large[idx_l + index1] == target1)) {
            buffer[pos++] = target1;
        }
        if ((index2 + idx_l < size_l) && (large[idx_l + index2] == target2)) {
            buffer[pos++] = target2;
        }
        idx_s += 2;
        idx_l += index2;
    }
    if ((idx_s < size_s) && (idx_l < size_l)) {
        uint16_t val_s = small[idx_s];
        int32_t index =
            binarySearch(large + idx_l, (int32_t)(size_l - idx_l), val_s);
        if (index >= 0) buffer[pos++] = val_s;
    }
    return (int32_t)pos;
}

// TODO: this could be accelerated, possibly, by using binarySearch4 as above.
int32_t intersect_skewed_uint16_cardinality(const uint16_t *small,
                                            size_t size_s,
                                            const uint16_t *large,
                                            size_t size_l) {
    size_t pos = 0, idx_l = 0, idx_s = 0;

    if (0 == size_s) {
        return 0;
    }

    uint16_t val_l = large[idx_l], val_s = small[idx_s];

    while (true) {
        if (val_l < val_s) {
            idx_l = advanceUntil(large, (int32_t)idx_l, (int32_t)size_l, val_s);
            if (idx_l == size_l) break;
            val_l = large[idx_l];
        } else if (val_s < val_l) {
            idx_s++;
            if (idx_s == size_s) break;
            val_s = small[idx_s];
        } else {
            pos++;
            idx_s++;
            if (idx_s == size_s) break;
            val_s = small[idx_s];
            idx_l = advanceUntil(large, (int32_t)idx_l, (int32_t)size_l, val_s);
            if (idx_l == size_l) break;
            val_l = large[idx_l];
        }
    }

    return (int32_t)pos;
}

bool intersect_skewed_uint16_nonempty(const uint16_t *small, size_t size_s,
                                      const uint16_t *large, size_t size_l) {
    size_t idx_l = 0, idx_s = 0;

    if (0 == size_s) {
        return false;
    }

    uint16_t val_l = large[idx_l], val_s = small[idx_s];

    while (true) {
        if (val_l < val_s) {
            idx_l = advanceUntil(large, (int32_t)idx_l, (int32_t)size_l, val_s);
            if (idx_l == size_l) break;
            val_l = large[idx_l];
        } else if (val_s < val_l) {
            idx_s++;
            if (idx_s == size_s) break;
            val_s = small[idx_s];
        } else {
            return true;
        }
    }

    return false;
}

/**
 * Generic intersection function.
 */
int32_t intersect_uint16(const uint16_t *A, const size_t lenA,
                         const uint16_t *B, const size_t lenB, uint16_t *out) {
    const uint16_t *initout = out;
    if (lenA == 0 || lenB == 0) return 0;
    const uint16_t *endA = A + lenA;
    const uint16_t *endB = B + lenB;

    while (1) {
        while (*A < *B) {
        SKIP_FIRST_COMPARE:
            if (++A == endA) return (int32_t)(out - initout);
        }
        while (*A > *B) {
            if (++B == endB) return (int32_t)(out - initout);
        }
        if (*A == *B) {
            *out++ = *A;
            if (++A == endA || ++B == endB) return (int32_t)(out - initout);
        } else {
            goto SKIP_FIRST_COMPARE;
        }
    }
    // return (int32_t)(out - initout);  // NOTREACHED
}

int32_t intersect_uint16_cardinality(const uint16_t *A, const size_t lenA,
                                     const uint16_t *B, const size_t lenB) {
    int32_t answer = 0;
    if (lenA == 0 || lenB == 0) return 0;
    const uint16_t *endA = A + lenA;
    const uint16_t *endB = B + lenB;

    while (1) {
        while (*A < *B) {
        SKIP_FIRST_COMPARE:
            if (++A == endA) return answer;
        }
        while (*A > *B) {
            if (++B == endB) return answer;
        }
        if (*A == *B) {
            ++answer;
            if (++A == endA || ++B == endB) return answer;
        } else {
            goto SKIP_FIRST_COMPARE;
        }
    }
    // return answer;  // NOTREACHED
}

bool intersect_uint16_nonempty(const uint16_t *A, const size_t lenA,
                               const uint16_t *B, const size_t lenB) {
    if (lenA == 0 || lenB == 0) return 0;
    const uint16_t *endA = A + lenA;
    const uint16_t *endB = B + lenB;

    while (1) {
        while (*A < *B) {
        SKIP_FIRST_COMPARE:
            if (++A == endA) return false;
        }
        while (*A > *B) {
            if (++B == endB) return false;
        }
        if (*A == *B) {
            return true;
        } else {
            goto SKIP_FIRST_COMPARE;
        }
    }
    return false;  // NOTREACHED
}

/**
 * Generic intersection function.
 */
size_t intersection_uint32(const uint32_t *A, const size_t lenA,
                           const uint32_t *B, const size_t lenB,
                           uint32_t *out) {
    const uint32_t *initout = out;
    if (lenA == 0 || lenB == 0) return 0;
    const uint32_t *endA = A + lenA;
    const uint32_t *endB = B + lenB;

    while (1) {
        while (*A < *B) {
        SKIP_FIRST_COMPARE:
            if (++A == endA) return (out - initout);
        }
        while (*A > *B) {
            if (++B == endB) return (out - initout);
        }
        if (*A == *B) {
            *out++ = *A;
            if (++A == endA || ++B == endB) return (out - initout);
        } else {
            goto SKIP_FIRST_COMPARE;
        }
    }
    // return (out - initout);  // NOTREACHED
}

size_t intersection_uint32_card(const uint32_t *A, const size_t lenA,
                                const uint32_t *B, const size_t lenB) {
    if (lenA == 0 || lenB == 0) return 0;
    size_t card = 0;
    const uint32_t *endA = A + lenA;
    const uint32_t *endB = B + lenB;

    while (1) {
        while (*A < *B) {
        SKIP_FIRST_COMPARE:
            if (++A == endA) return card;
        }
        while (*A > *B) {
            if (++B == endB) return card;
        }
        if (*A == *B) {
            card++;
            if (++A == endA || ++B == endB) return card;
        } else {
            goto SKIP_FIRST_COMPARE;
        }
    }
    // return card;  // NOTREACHED
}

// can one vectorize the computation of the union? (Update: Yes! See
// union_vector16).

size_t union_uint16(const uint16_t *set_1, size_t size_1, const uint16_t *set_2,
                    size_t size_2, uint16_t *buffer) {
    size_t pos = 0, idx_1 = 0, idx_2 = 0;

    if (0 == size_2) {
        memmove(buffer, set_1, size_1 * sizeof(uint16_t));
        return size_1;
    }
    if (0 == size_1) {
        memmove(buffer, set_2, size_2 * sizeof(uint16_t));
        return size_2;
    }

    uint16_t val_1 = set_1[idx_1], val_2 = set_2[idx_2];

    while (true) {
        if (val_1 < val_2) {
            buffer[pos++] = val_1;
            ++idx_1;
            if (idx_1 >= size_1) break;
            val_1 = set_1[idx_1];
        } else if (val_2 < val_1) {
            buffer[pos++] = val_2;
            ++idx_2;
            if (idx_2 >= size_2) break;
            val_2 = set_2[idx_2];
        } else {
            buffer[pos++] = val_1;
            ++idx_1;
            ++idx_2;
            if (idx_1 >= size_1 || idx_2 >= size_2) break;
            val_1 = set_1[idx_1];
            val_2 = set_2[idx_2];
        }
    }

    if (idx_1 < size_1) {
        const size_t n_elems = size_1 - idx_1;
        memmove(buffer + pos, set_1 + idx_1, n_elems * sizeof(uint16_t));
        pos += n_elems;
    } else if (idx_2 < size_2) {
        const size_t n_elems = size_2 - idx_2;
        memmove(buffer + pos, set_2 + idx_2, n_elems * sizeof(uint16_t));
        pos += n_elems;
    }

    return pos;
}

int difference_uint16(const uint16_t *a1, int length1, const uint16_t *a2,
                      int length2, uint16_t *a_out) {
    int out_card = 0;
    int k1 = 0, k2 = 0;
    if (length1 == 0) return 0;
    if (length2 == 0) {
        if (a1 != a_out) memcpy(a_out, a1, sizeof(uint16_t) * length1);
        return length1;
    }
    uint16_t s1 = a1[k1];
    uint16_t s2 = a2[k2];
    while (true) {
        if (s1 < s2) {
            a_out[out_card++] = s1;
            ++k1;
            if (k1 >= length1) {
                break;
            }
            s1 = a1[k1];
        } else if (s1 == s2) {
            ++k1;
            ++k2;
            if (k1 >= length1) {
                break;
            }
            if (k2 >= length2) {
                memmove(a_out + out_card, a1 + k1,
                        sizeof(uint16_t) * (length1 - k1));
                return out_card + length1 - k1;
            }
            s1 = a1[k1];
            s2 = a2[k2];
        } else {  // if (val1>val2)
            ++k2;
            if (k2 >= length2) {
                memmove(a_out + out_card, a1 + k1,
                        sizeof(uint16_t) * (length1 - k1));
                return out_card + length1 - k1;
            }
            s2 = a2[k2];
        }
    }
    return out_card;
}

int32_t xor_uint16(const uint16_t *array_1, int32_t card_1,
                   const uint16_t *array_2, int32_t card_2, uint16_t *out) {
    int32_t pos1 = 0, pos2 = 0, pos_out = 0;
    while (pos1 < card_1 && pos2 < card_2) {
        const uint16_t v1 = array_1[pos1];
        const uint16_t v2 = array_2[pos2];
        if (v1 == v2) {
            ++pos1;
            ++pos2;
            continue;
        }
        if (v1 < v2) {
            out[pos_out++] = v1;
            ++pos1;
        } else {
            out[pos_out++] = v2;
            ++pos2;
        }
    }
    if (pos1 < card_1) {
        const size_t n_elems = card_1 - pos1;
        memcpy(out + pos_out, array_1 + pos1, n_elems * sizeof(uint16_t));
        pos_out += (int32_t)n_elems;
    } else if (pos2 < card_2) {
        const size_t n_elems = card_2 - pos2;
        memcpy(out + pos_out, array_2 + pos2, n_elems * sizeof(uint16_t));
        pos_out += (int32_t)n_elems;
    }
    return pos_out;
}

#if CROARING_IS_X64

/***
 * start of the SIMD 16-bit union code
 *
 */
CROARING_TARGET_AVX2

// Assuming that vInput1 and vInput2 are sorted, produces a sorted output going
// from vecMin all the way to vecMax
// developed originally for merge sort using SIMD instructions.
// Standard merge. See, e.g., Inoue and Taura, SIMD- and Cache-Friendly
// Algorithm for Sorting an Array of Structures
static inline void sse_merge(const __m128i *vInput1,
                             const __m128i *vInput2,              // input 1 & 2
                             __m128i *vecMin, __m128i *vecMax) {  // output
    __m128i vecTmp;
    vecTmp = _mm_min_epu16(*vInput1, *vInput2);
    *vecMax = _mm_max_epu16(*vInput1, *vInput2);
    vecTmp = _mm_alignr_epi8(vecTmp, vecTmp, 2);
    *vecMin = _mm_min_epu16(vecTmp, *vecMax);
    *vecMax = _mm_max_epu16(vecTmp, *vecMax);
    vecTmp = _mm_alignr_epi8(*vecMin, *vecMin, 2);
    *vecMin = _mm_min_epu16(vecTmp, *vecMax);
    *vecMax = _mm_max_epu16(vecTmp, *vecMax);
    vecTmp = _mm_alignr_epi8(*vecMin, *vecMin, 2);
    *vecMin = _mm_min_epu16(vecTmp, *vecMax);
    *vecMax = _mm_max_epu16(vecTmp, *vecMax);
    vecTmp = _mm_alignr_epi8(*vecMin, *vecMin, 2);
    *vecMin = _mm_min_epu16(vecTmp, *vecMax);
    *vecMax = _mm_max_epu16(vecTmp, *vecMax);
    vecTmp = _mm_alignr_epi8(*vecMin, *vecMin, 2);
    *vecMin = _mm_min_epu16(vecTmp, *vecMax);
    *vecMax = _mm_max_epu16(vecTmp, *vecMax);
    vecTmp = _mm_alignr_epi8(*vecMin, *vecMin, 2);
    *vecMin = _mm_min_epu16(vecTmp, *vecMax);
    *vecMax = _mm_max_epu16(vecTmp, *vecMax);
    vecTmp = _mm_alignr_epi8(*vecMin, *vecMin, 2);
    *vecMin = _mm_min_epu16(vecTmp, *vecMax);
    *vecMax = _mm_max_epu16(vecTmp, *vecMax);
    *vecMin = _mm_alignr_epi8(*vecMin, *vecMin, 2);
}
CROARING_UNTARGET_AVX2
// used by store_unique, generated by simdunion.py
static uint8_t uniqshuf[] = {
    0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0x6,  0x7,  0x8,  0x9,  0xa,  0xb,
    0xc,  0xd,  0xe,  0xf,  0x2,  0x3,  0x4,  0x5,  0x6,  0x7,  0x8,  0x9,
    0xa,  0xb,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,
    0x6,  0x7,  0x8,  0x9,  0xa,  0xb,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF,
    0x4,  0x5,  0x6,  0x7,  0x8,  0x9,  0xa,  0xb,  0xc,  0xd,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x6,  0x7,  0x8,  0x9,
    0xa,  0xb,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0x2,  0x3,  0x6,  0x7,
    0x8,  0x9,  0xa,  0xb,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x6,  0x7,  0x8,  0x9,  0xa,  0xb,  0xc,  0xd,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0x6,  0x7,  0x8,  0x9,  0xa,  0xb,  0xc,  0xd,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x4,  0x5,  0x8,  0x9,  0xa,  0xb,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF,
    0x2,  0x3,  0x4,  0x5,  0x8,  0x9,  0xa,  0xb,  0xc,  0xd,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,  0x8,  0x9,  0xa,  0xb,
    0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0x8,  0x9,
    0xa,  0xb,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x8,  0x9,  0xa,  0xb,  0xc,  0xd,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x8,  0x9,  0xa,  0xb,  0xc,  0xd,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x8,  0x9,
    0xa,  0xb,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x8,  0x9,  0xa,  0xb,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0x6,  0x7,
    0xa,  0xb,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,
    0x6,  0x7,  0xa,  0xb,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x4,  0x5,  0x6,  0x7,  0xa,  0xb,  0xc,  0xd,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0x6,  0x7,  0xa,  0xb,  0xc,  0xd,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x6,  0x7,  0xa,  0xb,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0x6,  0x7,  0xa,  0xb,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x6,  0x7,  0xa,  0xb,  0xc,  0xd,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x6,  0x7,  0xa,  0xb,
    0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0xa,  0xb,  0xc,  0xd,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,  0xa,  0xb,  0xc,  0xd,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,
    0xa,  0xb,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x4,  0x5,  0xa,  0xb,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0xa,  0xb,  0xc,  0xd,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0xa,  0xb,
    0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0xa,  0xb,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xa,  0xb,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x4,  0x5,  0x6,  0x7,  0x8,  0x9,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF,
    0x2,  0x3,  0x4,  0x5,  0x6,  0x7,  0x8,  0x9,  0xc,  0xd,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,  0x6,  0x7,  0x8,  0x9,
    0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0x6,  0x7,
    0x8,  0x9,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x6,  0x7,  0x8,  0x9,  0xc,  0xd,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x6,  0x7,  0x8,  0x9,  0xc,  0xd,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x6,  0x7,
    0x8,  0x9,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x6,  0x7,  0x8,  0x9,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0x8,  0x9,
    0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,
    0x8,  0x9,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x4,  0x5,  0x8,  0x9,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0x8,  0x9,  0xc,  0xd,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x8,  0x9,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0x8,  0x9,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x8,  0x9,  0xc,  0xd,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x8,  0x9,  0xc,  0xd,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0x6,  0x7,  0xc,  0xd,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,  0x6,  0x7,  0xc,  0xd,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,
    0x6,  0x7,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x4,  0x5,  0x6,  0x7,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x6,  0x7,  0xc,  0xd,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x6,  0x7,
    0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x6,  0x7,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x6,  0x7,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x4,  0x5,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0x4,  0x5,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,  0xc,  0xd,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0xc,  0xd,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0xc,  0xd,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xc,  0xd,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0x6,  0x7,
    0x8,  0x9,  0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,
    0x6,  0x7,  0x8,  0x9,  0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x4,  0x5,  0x6,  0x7,  0x8,  0x9,  0xa,  0xb,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0x6,  0x7,  0x8,  0x9,  0xa,  0xb,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x6,  0x7,  0x8,  0x9,  0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0x6,  0x7,  0x8,  0x9,  0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x6,  0x7,  0x8,  0x9,  0xa,  0xb,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x6,  0x7,  0x8,  0x9,
    0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0x8,  0x9,  0xa,  0xb,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,  0x8,  0x9,  0xa,  0xb,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,
    0x8,  0x9,  0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x4,  0x5,  0x8,  0x9,  0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x8,  0x9,  0xa,  0xb,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x8,  0x9,
    0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x8,  0x9,  0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x8,  0x9,  0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x4,  0x5,  0x6,  0x7,  0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0x4,  0x5,  0x6,  0x7,  0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,  0x6,  0x7,  0xa,  0xb,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0x6,  0x7,
    0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x6,  0x7,  0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x6,  0x7,  0xa,  0xb,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x6,  0x7,
    0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x6,  0x7,  0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0xa,  0xb,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,
    0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x4,  0x5,  0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0xa,  0xb,  0xe,  0xf,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xa,  0xb,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0x6,  0x7,  0x8,  0x9,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,  0x6,  0x7,  0x8,  0x9,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,
    0x6,  0x7,  0x8,  0x9,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x4,  0x5,  0x6,  0x7,  0x8,  0x9,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x6,  0x7,  0x8,  0x9,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x6,  0x7,
    0x8,  0x9,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x6,  0x7,  0x8,  0x9,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x6,  0x7,  0x8,  0x9,  0xe,  0xf,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x4,  0x5,  0x8,  0x9,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0x4,  0x5,  0x8,  0x9,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,  0x8,  0x9,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0x8,  0x9,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x8,  0x9,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x8,  0x9,  0xe,  0xf,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x8,  0x9,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x8,  0x9,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0x6,  0x7,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,
    0x6,  0x7,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x4,  0x5,  0x6,  0x7,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0x6,  0x7,  0xe,  0xf,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x6,  0x7,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0x6,  0x7,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x6,  0x7,  0xe,  0xf,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x6,  0x7,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,  0xe,  0xf,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,
    0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x4,  0x5,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0xe,  0xf,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0xe,  0xf,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xe,  0xf,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x4,  0x5,  0x6,  0x7,  0x8,  0x9,  0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF,
    0x2,  0x3,  0x4,  0x5,  0x6,  0x7,  0x8,  0x9,  0xa,  0xb,  0xc,  0xd,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,  0x6,  0x7,  0x8,  0x9,
    0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0x6,  0x7,
    0x8,  0x9,  0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x6,  0x7,  0x8,  0x9,  0xa,  0xb,  0xc,  0xd,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x6,  0x7,  0x8,  0x9,  0xa,  0xb,
    0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x6,  0x7,
    0x8,  0x9,  0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x6,  0x7,  0x8,  0x9,  0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0x8,  0x9,
    0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,
    0x8,  0x9,  0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x4,  0x5,  0x8,  0x9,  0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0x8,  0x9,  0xa,  0xb,  0xc,  0xd,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x8,  0x9,  0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0x8,  0x9,  0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x8,  0x9,  0xa,  0xb,  0xc,  0xd,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x8,  0x9,  0xa,  0xb,
    0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0x6,  0x7,  0xa,  0xb,  0xc,  0xd,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,  0x6,  0x7,  0xa,  0xb,
    0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,
    0x6,  0x7,  0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x4,  0x5,  0x6,  0x7,  0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x6,  0x7,  0xa,  0xb,
    0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x6,  0x7,
    0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x6,  0x7,  0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x6,  0x7,  0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x4,  0x5,  0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0x4,  0x5,  0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,  0xa,  0xb,  0xc,  0xd,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0xa,  0xb,
    0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0xa,  0xb,
    0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xa,  0xb,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0x6,  0x7,
    0x8,  0x9,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,
    0x6,  0x7,  0x8,  0x9,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x4,  0x5,  0x6,  0x7,  0x8,  0x9,  0xc,  0xd,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0x6,  0x7,  0x8,  0x9,  0xc,  0xd,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x6,  0x7,  0x8,  0x9,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0x6,  0x7,  0x8,  0x9,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x6,  0x7,  0x8,  0x9,  0xc,  0xd,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x6,  0x7,  0x8,  0x9,
    0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0x8,  0x9,  0xc,  0xd,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,  0x8,  0x9,  0xc,  0xd,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,
    0x8,  0x9,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x4,  0x5,  0x8,  0x9,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x8,  0x9,  0xc,  0xd,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x8,  0x9,
    0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x8,  0x9,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x8,  0x9,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x4,  0x5,  0x6,  0x7,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0x4,  0x5,  0x6,  0x7,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,  0x6,  0x7,  0xc,  0xd,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0x6,  0x7,
    0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x6,  0x7,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x6,  0x7,  0xc,  0xd,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x6,  0x7,
    0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x6,  0x7,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0xc,  0xd,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,
    0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x4,  0x5,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0xc,  0xd,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xc,  0xd,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0x6,  0x7,  0x8,  0x9,  0xa,  0xb,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,  0x6,  0x7,  0x8,  0x9,
    0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,
    0x6,  0x7,  0x8,  0x9,  0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x4,  0x5,  0x6,  0x7,  0x8,  0x9,  0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x6,  0x7,  0x8,  0x9,
    0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x6,  0x7,
    0x8,  0x9,  0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x6,  0x7,  0x8,  0x9,  0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x6,  0x7,  0x8,  0x9,  0xa,  0xb,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x4,  0x5,  0x8,  0x9,  0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0x4,  0x5,  0x8,  0x9,  0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,  0x8,  0x9,  0xa,  0xb,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0x8,  0x9,
    0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x8,  0x9,  0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x8,  0x9,  0xa,  0xb,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x8,  0x9,
    0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x8,  0x9,  0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0x6,  0x7,
    0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,
    0x6,  0x7,  0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x4,  0x5,  0x6,  0x7,  0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0x6,  0x7,  0xa,  0xb,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x6,  0x7,  0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0x6,  0x7,  0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x6,  0x7,  0xa,  0xb,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x6,  0x7,  0xa,  0xb,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,  0xa,  0xb,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,
    0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x4,  0x5,  0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0xa,  0xb,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0xa,  0xb,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xa,  0xb,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x4,  0x5,  0x6,  0x7,  0x8,  0x9,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0x4,  0x5,  0x6,  0x7,  0x8,  0x9,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,  0x6,  0x7,  0x8,  0x9,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0x6,  0x7,
    0x8,  0x9,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x6,  0x7,  0x8,  0x9,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x6,  0x7,  0x8,  0x9,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x6,  0x7,
    0x8,  0x9,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x6,  0x7,  0x8,  0x9,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0x8,  0x9,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,
    0x8,  0x9,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x4,  0x5,  0x8,  0x9,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0x8,  0x9,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x8,  0x9,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0x8,  0x9,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x8,  0x9,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x8,  0x9,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0x4,  0x5,  0x6,  0x7,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x4,  0x5,  0x6,  0x7,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,
    0x6,  0x7,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x4,  0x5,  0x6,  0x7,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,  0x6,  0x7,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0x6,  0x7,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x6,  0x7,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x6,  0x7,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x2,  0x3,
    0x4,  0x5,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x2,  0x3,  0x4,  0x5,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0x4,  0x5,  0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x4,  0x5,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0x0,  0x1,  0x2,  0x3,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0x2,  0x3,  0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0,  0x1,  0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    0xFF, 0xFF, 0xFF, 0xFF};
CROARING_TARGET_AVX2
// write vector new, while omitting repeated values assuming that previously
// written vector was "old"
static inline int store_unique(__m128i old, __m128i newval, uint16_t *output) {
    __m128i vecTmp = _mm_alignr_epi8(newval, old, 16 - 2);
    // lots of high latency instructions follow (optimize?)
    int M = _mm_movemask_epi8(
        _mm_packs_epi16(_mm_cmpeq_epi16(vecTmp, newval), _mm_setzero_si128()));
    int numberofnewvalues = 8 - _mm_popcnt_u32(M);
    __m128i key = _mm_lddqu_si128((const __m128i *)uniqshuf + M);
    __m128i val = _mm_shuffle_epi8(newval, key);
    _mm_storeu_si128((__m128i *)output, val);
    return numberofnewvalues;
}
CROARING_UNTARGET_AVX2

// working in-place, this function overwrites the repeated values
// could be avoided?
static inline uint32_t unique(uint16_t *out, uint32_t len) {
    uint32_t pos = 1;
    for (uint32_t i = 1; i < len; ++i) {
        if (out[i] != out[i - 1]) {
            out[pos++] = out[i];
        }
    }
    return pos;
}

// use with qsort, could be avoided
static int uint16_compare(const void *a, const void *b) {
    return (*(uint16_t *)a - *(uint16_t *)b);
}

CROARING_TARGET_AVX2
// a one-pass SSE union algorithm
// This function may not be safe if array1 == output or array2 == output.
uint32_t union_vector16(const uint16_t *array1, uint32_t length1,
                        const uint16_t *array2, uint32_t length2,
                        uint16_t *output) {
    if ((length1 < 8) || (length2 < 8)) {
        return (uint32_t)union_uint16(array1, length1, array2, length2, output);
    }
    __m128i vA, vB, V, vecMin, vecMax;
    __m128i laststore;
    uint16_t *initoutput = output;
    uint32_t len1 = length1 / 8;
    uint32_t len2 = length2 / 8;
    uint32_t pos1 = 0;
    uint32_t pos2 = 0;
    // we start the machine
    vA = _mm_lddqu_si128((const __m128i *)array1 + pos1);
    pos1++;
    vB = _mm_lddqu_si128((const __m128i *)array2 + pos2);
    pos2++;
    sse_merge(&vA, &vB, &vecMin, &vecMax);
    laststore = _mm_set1_epi16(-1);
    output += store_unique(laststore, vecMin, output);
    laststore = vecMin;
    if ((pos1 < len1) && (pos2 < len2)) {
        uint16_t curA, curB;
        curA = array1[8 * pos1];
        curB = array2[8 * pos2];
        while (true) {
            if (curA <= curB) {
                V = _mm_lddqu_si128((const __m128i *)array1 + pos1);
                pos1++;
                if (pos1 < len1) {
                    curA = array1[8 * pos1];
                } else {
                    break;
                }
            } else {
                V = _mm_lddqu_si128((const __m128i *)array2 + pos2);
                pos2++;
                if (pos2 < len2) {
                    curB = array2[8 * pos2];
                } else {
                    break;
                }
            }
            sse_merge(&V, &vecMax, &vecMin, &vecMax);
            output += store_unique(laststore, vecMin, output);
            laststore = vecMin;
        }
        sse_merge(&V, &vecMax, &vecMin, &vecMax);
        output += store_unique(laststore, vecMin, output);
        laststore = vecMin;
    }
    // we finish the rest off using a scalar algorithm
    // could be improved?
    //
    // copy the small end on a tmp buffer
    uint32_t len = (uint32_t)(output - initoutput);
    uint16_t buffer[16];
    uint32_t leftoversize = store_unique(laststore, vecMax, buffer);
    if (pos1 == len1) {
        memcpy(buffer + leftoversize, array1 + 8 * pos1,
               (length1 - 8 * len1) * sizeof(uint16_t));
        leftoversize += length1 - 8 * len1;
        qsort(buffer, leftoversize, sizeof(uint16_t), uint16_compare);

        leftoversize = unique(buffer, leftoversize);
        len += (uint32_t)union_uint16(buffer, leftoversize, array2 + 8 * pos2,
                                      length2 - 8 * pos2, output);
    } else {
        memcpy(buffer + leftoversize, array2 + 8 * pos2,
               (length2 - 8 * len2) * sizeof(uint16_t));
        leftoversize += length2 - 8 * len2;
        qsort(buffer, leftoversize, sizeof(uint16_t), uint16_compare);
        leftoversize = unique(buffer, leftoversize);
        len += (uint32_t)union_uint16(buffer, leftoversize, array1 + 8 * pos1,
                                      length1 - 8 * pos1, output);
    }
    return len;
}
CROARING_UNTARGET_AVX2

/**
 * End of the SIMD 16-bit union code
 *
 */

/**
 * Start of SIMD 16-bit XOR code
 */

CROARING_TARGET_AVX2
// write vector new, while omitting repeated values assuming that previously
// written vector was "old"
static inline int store_unique_xor(__m128i old, __m128i newval,
                                   uint16_t *output) {
    __m128i vecTmp1 = _mm_alignr_epi8(newval, old, 16 - 4);
    __m128i vecTmp2 = _mm_alignr_epi8(newval, old, 16 - 2);
    __m128i equalleft = _mm_cmpeq_epi16(vecTmp2, vecTmp1);
    __m128i equalright = _mm_cmpeq_epi16(vecTmp2, newval);
    __m128i equalleftoright = _mm_or_si128(equalleft, equalright);
    int M = _mm_movemask_epi8(
        _mm_packs_epi16(equalleftoright, _mm_setzero_si128()));
    int numberofnewvalues = 8 - _mm_popcnt_u32(M);
    __m128i key = _mm_lddqu_si128((const __m128i *)uniqshuf + M);
    __m128i val = _mm_shuffle_epi8(vecTmp2, key);
    _mm_storeu_si128((__m128i *)output, val);
    return numberofnewvalues;
}
CROARING_UNTARGET_AVX2

// working in-place, this function overwrites the repeated values
// could be avoided? Warning: assumes len > 0
static inline uint32_t unique_xor(uint16_t *out, uint32_t len) {
    uint32_t pos = 1;
    for (uint32_t i = 1; i < len; ++i) {
        if (out[i] != out[i - 1]) {
            out[pos++] = out[i];
        } else
            pos--;  // if it is identical to previous, delete it
    }
    return pos;
}
CROARING_TARGET_AVX2
// a one-pass SSE xor algorithm
uint32_t xor_vector16(const uint16_t *array1, uint32_t length1,
                      const uint16_t *array2, uint32_t length2,
                      uint16_t *output) {
    if ((length1 < 8) || (length2 < 8)) {
        return xor_uint16(array1, length1, array2, length2, output);
    }
    __m128i vA, vB, V, vecMin, vecMax;
    __m128i laststore;
    uint16_t *initoutput = output;
    uint32_t len1 = length1 / 8;
    uint32_t len2 = length2 / 8;
    uint32_t pos1 = 0;
    uint32_t pos2 = 0;
    // we start the machine
    vA = _mm_lddqu_si128((const __m128i *)array1 + pos1);
    pos1++;
    vB = _mm_lddqu_si128((const __m128i *)array2 + pos2);
    pos2++;
    sse_merge(&vA, &vB, &vecMin, &vecMax);
    laststore = _mm_set1_epi16(-1);
    uint16_t buffer[17];
    output += store_unique_xor(laststore, vecMin, output);

    laststore = vecMin;
    if ((pos1 < len1) && (pos2 < len2)) {
        uint16_t curA, curB;
        curA = array1[8 * pos1];
        curB = array2[8 * pos2];
        while (true) {
            if (curA <= curB) {
                V = _mm_lddqu_si128((const __m128i *)array1 + pos1);
                pos1++;
                if (pos1 < len1) {
                    curA = array1[8 * pos1];
                } else {
                    break;
                }
            } else {
                V = _mm_lddqu_si128((const __m128i *)array2 + pos2);
                pos2++;
                if (pos2 < len2) {
                    curB = array2[8 * pos2];
                } else {
                    break;
                }
            }
            sse_merge(&V, &vecMax, &vecMin, &vecMax);
            // conditionally stores the last value of laststore as well as all
            // but the
            // last value of vecMin
            output += store_unique_xor(laststore, vecMin, output);
            laststore = vecMin;
        }
        sse_merge(&V, &vecMax, &vecMin, &vecMax);
        // conditionally stores the last value of laststore as well as all but
        // the
        // last value of vecMin
        output += store_unique_xor(laststore, vecMin, output);
        laststore = vecMin;
    }
    uint32_t len = (uint32_t)(output - initoutput);

    // we finish the rest off using a scalar algorithm
    // could be improved?
    // conditionally stores the last value of laststore as well as all but the
    // last value of vecMax,
    // we store to "buffer"
    int leftoversize = store_unique_xor(laststore, vecMax, buffer);
    uint16_t vec7 = (uint16_t)_mm_extract_epi16(vecMax, 7);
    uint16_t vec6 = (uint16_t)_mm_extract_epi16(vecMax, 6);
    if (vec7 != vec6) buffer[leftoversize++] = vec7;
    if (pos1 == len1) {
        memcpy(buffer + leftoversize, array1 + 8 * pos1,
               (length1 - 8 * len1) * sizeof(uint16_t));
        leftoversize += length1 - 8 * len1;
        if (leftoversize == 0) {  // trivial case
            memcpy(output, array2 + 8 * pos2,
                   (length2 - 8 * pos2) * sizeof(uint16_t));
            len += (length2 - 8 * pos2);
        } else {
            qsort(buffer, leftoversize, sizeof(uint16_t), uint16_compare);
            leftoversize = unique_xor(buffer, leftoversize);
            len += xor_uint16(buffer, leftoversize, array2 + 8 * pos2,
                              length2 - 8 * pos2, output);
        }
    } else {
        memcpy(buffer + leftoversize, array2 + 8 * pos2,
               (length2 - 8 * len2) * sizeof(uint16_t));
        leftoversize += length2 - 8 * len2;
        if (leftoversize == 0) {  // trivial case
            memcpy(output, array1 + 8 * pos1,
                   (length1 - 8 * pos1) * sizeof(uint16_t));
            len += (length1 - 8 * pos1);
        } else {
            qsort(buffer, leftoversize, sizeof(uint16_t), uint16_compare);
            leftoversize = unique_xor(buffer, leftoversize);
            len += xor_uint16(buffer, leftoversize, array1 + 8 * pos1,
                              length1 - 8 * pos1, output);
        }
    }
    return len;
}
CROARING_UNTARGET_AVX2
/**
 * End of SIMD 16-bit XOR code
 */

#endif  // CROARING_IS_X64

size_t union_uint32(const uint32_t *set_1, size_t size_1, const uint32_t *set_2,
                    size_t size_2, uint32_t *buffer) {
    size_t pos = 0, idx_1 = 0, idx_2 = 0;

    if (0 == size_2) {
        memmove(buffer, set_1, size_1 * sizeof(uint32_t));
        return size_1;
    }
    if (0 == size_1) {
        memmove(buffer, set_2, size_2 * sizeof(uint32_t));
        return size_2;
    }

    uint32_t val_1 = set_1[idx_1], val_2 = set_2[idx_2];

    while (true) {
        if (val_1 < val_2) {
            buffer[pos++] = val_1;
            ++idx_1;
            if (idx_1 >= size_1) break;
            val_1 = set_1[idx_1];
        } else if (val_2 < val_1) {
            buffer[pos++] = val_2;
            ++idx_2;
            if (idx_2 >= size_2) break;
            val_2 = set_2[idx_2];
        } else {
            buffer[pos++] = val_1;
            ++idx_1;
            ++idx_2;
            if (idx_1 >= size_1 || idx_2 >= size_2) break;
            val_1 = set_1[idx_1];
            val_2 = set_2[idx_2];
        }
    }

    if (idx_1 < size_1) {
        const size_t n_elems = size_1 - idx_1;
        memmove(buffer + pos, set_1 + idx_1, n_elems * sizeof(uint32_t));
        pos += n_elems;
    } else if (idx_2 < size_2) {
        const size_t n_elems = size_2 - idx_2;
        memmove(buffer + pos, set_2 + idx_2, n_elems * sizeof(uint32_t));
        pos += n_elems;
    }

    return pos;
}

size_t union_uint32_card(const uint32_t *set_1, size_t size_1,
                         const uint32_t *set_2, size_t size_2) {
    size_t pos = 0, idx_1 = 0, idx_2 = 0;

    if (0 == size_2) {
        return size_1;
    }
    if (0 == size_1) {
        return size_2;
    }

    uint32_t val_1 = set_1[idx_1], val_2 = set_2[idx_2];

    while (true) {
        if (val_1 < val_2) {
            ++idx_1;
            ++pos;
            if (idx_1 >= size_1) break;
            val_1 = set_1[idx_1];
        } else if (val_2 < val_1) {
            ++idx_2;
            ++pos;
            if (idx_2 >= size_2) break;
            val_2 = set_2[idx_2];
        } else {
            ++idx_1;
            ++idx_2;
            ++pos;
            if (idx_1 >= size_1 || idx_2 >= size_2) break;
            val_1 = set_1[idx_1];
            val_2 = set_2[idx_2];
        }
    }

    if (idx_1 < size_1) {
        const size_t n_elems = size_1 - idx_1;
        pos += n_elems;
    } else if (idx_2 < size_2) {
        const size_t n_elems = size_2 - idx_2;
        pos += n_elems;
    }
    return pos;
}

size_t fast_union_uint16(const uint16_t *set_1, size_t size_1,
                         const uint16_t *set_2, size_t size_2,
                         uint16_t *buffer) {
#if CROARING_IS_X64
    if (croaring_hardware_support() & ROARING_SUPPORTS_AVX2) {
        // compute union with smallest array first
        if (size_1 < size_2) {
            return union_vector16(set_1, (uint32_t)size_1, set_2,
                                  (uint32_t)size_2, buffer);
        } else {
            return union_vector16(set_2, (uint32_t)size_2, set_1,
                                  (uint32_t)size_1, buffer);
        }
    } else {
        // compute union with smallest array first
        if (size_1 < size_2) {
            return union_uint16(set_1, size_1, set_2, size_2, buffer);
        } else {
            return union_uint16(set_2, size_2, set_1, size_1, buffer);
        }
    }
#else
    // compute union with smallest array first
    if (size_1 < size_2) {
        return union_uint16(set_1, size_1, set_2, size_2, buffer);
    } else {
        return union_uint16(set_2, size_2, set_1, size_1, buffer);
    }
#endif
}
#if CROARING_IS_X64
#if CROARING_COMPILER_SUPPORTS_AVX512
CROARING_TARGET_AVX512
static inline bool _avx512_memequals(const void *s1, const void *s2, size_t n) {
    const uint8_t *ptr1 = (const uint8_t *)s1;
    const uint8_t *ptr2 = (const uint8_t *)s2;
    const uint8_t *end1 = ptr1 + n;
    const uint8_t *end8 = ptr1 + ((n >> 3) << 3);
    const uint8_t *end32 = ptr1 + ((n >> 5) << 5);
    const uint8_t *end64 = ptr1 + ((n >> 6) << 6);

    while (ptr1 < end64) {
        __m512i r1 = _mm512_loadu_si512((const __m512i *)ptr1);
        __m512i r2 = _mm512_loadu_si512((const __m512i *)ptr2);

        uint64_t mask = _mm512_cmpeq_epi8_mask(r1, r2);

        if (mask != UINT64_MAX) {
            return false;
        }

        ptr1 += 64;
        ptr2 += 64;
    }

    while (ptr1 < end32) {
        __m256i r1 = _mm256_loadu_si256((const __m256i *)ptr1);
        __m256i r2 = _mm256_loadu_si256((const __m256i *)ptr2);
        int mask = _mm256_movemask_epi8(_mm256_cmpeq_epi8(r1, r2));
        if ((uint32_t)mask != UINT32_MAX) {
            return false;
        }
        ptr1 += 32;
        ptr2 += 32;
    }

    while (ptr1 < end8) {
        uint64_t v1, v2;
        memcpy(&v1, ptr1, sizeof(uint64_t));
        memcpy(&v2, ptr2, sizeof(uint64_t));
        if (v1 != v2) {
            return false;
        }
        ptr1 += 8;
        ptr2 += 8;
    }

    while (ptr1 < end1) {
        if (*ptr1 != *ptr2) {
            return false;
        }
        ptr1++;
        ptr2++;
    }

    return true;
}
CROARING_UNTARGET_AVX512
#endif  // CROARING_COMPILER_SUPPORTS_AVX512

CROARING_TARGET_AVX2
static inline bool _avx2_memequals(const void *s1, const void *s2, size_t n) {
    const uint8_t *ptr1 = (const uint8_t *)s1;
    const uint8_t *ptr2 = (const uint8_t *)s2;
    const uint8_t *end1 = ptr1 + n;
    const uint8_t *end8 = ptr1 + n / 8 * 8;
    const uint8_t *end32 = ptr1 + n / 32 * 32;

    while (ptr1 < end32) {
        __m256i r1 = _mm256_loadu_si256((const __m256i *)ptr1);
        __m256i r2 = _mm256_loadu_si256((const __m256i *)ptr2);
        int mask = _mm256_movemask_epi8(_mm256_cmpeq_epi8(r1, r2));
        if ((uint32_t)mask != UINT32_MAX) {
            return false;
        }
        ptr1 += 32;
        ptr2 += 32;
    }

    while (ptr1 < end8) {
        uint64_t v1, v2;
        memcpy(&v1, ptr1, sizeof(uint64_t));
        memcpy(&v2, ptr2, sizeof(uint64_t));
        if (v1 != v2) {
            return false;
        }
        ptr1 += 8;
        ptr2 += 8;
    }

    while (ptr1 < end1) {
        if (*ptr1 != *ptr2) {
            return false;
        }
        ptr1++;
        ptr2++;
    }

    return true;
}
CROARING_UNTARGET_AVX2
#endif

bool memequals(const void *s1, const void *s2, size_t n) {
    if (n == 0) {
        return true;
    }
#if CROARING_IS_X64
    int support = croaring_hardware_support();
#if CROARING_COMPILER_SUPPORTS_AVX512
    if (support & ROARING_SUPPORTS_AVX512) {
        return _avx512_memequals(s1, s2, n);
    } else
#endif  // CROARING_COMPILER_SUPPORTS_AVX512
        if (support & ROARING_SUPPORTS_AVX2) {
            return _avx2_memequals(s1, s2, n);
        } else {
            return memcmp(s1, s2, n) == 0;
        }
#else
    return memcmp(s1, s2, n) == 0;
#endif
}

#if CROARING_IS_X64
#if CROARING_COMPILER_SUPPORTS_AVX512
CROARING_TARGET_AVX512
CROARING_ALLOW_UNALIGNED
int avx512_array_container_to_uint32_array(void *vout, const uint16_t *array,
                                           size_t cardinality, uint32_t base) {
    int outpos = 0;
    uint32_t *out = (uint32_t *)vout;
    size_t i = 0;
    for (; i + sizeof(__m256i) / sizeof(uint16_t) <= cardinality;
         i += sizeof(__m256i) / sizeof(uint16_t)) {
        __m256i vinput = _mm256_loadu_si256((const __m256i *)(array + i));
        __m512i voutput = _mm512_add_epi32(_mm512_cvtepu16_epi32(vinput),
                                           _mm512_set1_epi32(base));
        _mm512_storeu_si512((__m512i *)(out + outpos), voutput);
        outpos += sizeof(__m512i) / sizeof(uint32_t);
    }
    for (; i < cardinality; ++i) {
        const uint32_t val = base + array[i];
        memcpy(out + outpos, &val,
               sizeof(uint32_t));  // should be compiled as a MOV on x64
        outpos++;
    }
    return outpos;
}
CROARING_UNTARGET_AVX512
#endif  // #if CROARING_COMPILER_SUPPORTS_AVX512
#endif  // #if CROARING_IS_X64

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace internal {
#endif
#if defined(__GNUC__) && !defined(__clang__)
#pragma GCC diagnostic pop
#endif/* end file src/array_util.c */
/* begin file src/art/art.c */
#include <assert.h>
#include <stdalign.h>
#include <stdio.h>
#include <string.h>


#define CROARING_ART_NULL_REF 0

#define CROARING_ART_LEAF_TYPE 1
#define CROARING_ART_NODE4_TYPE 2
#define CROARING_ART_NODE16_TYPE 3
#define CROARING_ART_NODE48_TYPE 4
#define CROARING_ART_NODE256_TYPE 5

#define CROARING_ART_MIN_TYPE CROARING_ART_LEAF_TYPE
#define CROARING_ART_MAX_TYPE CROARING_ART_NODE256_TYPE

// Node48 placeholder value to indicate no child is present at this key index.
#define CROARING_ART_NODE48_EMPTY_VAL 48
#define CROARING_NODE48_AVAILABLE_CHILDREN_MASK ((UINT64_C(1) << 48) - 1)

#define CROARING_ART_ALIGN_BUF(buf, alignment)      \
    (char *)(((uintptr_t)(buf) + ((alignment)-1)) & \
             (ptrdiff_t)(~((alignment)-1)))

// Gives the byte difference needed to align the current buffer to the
// alignment, relative to the start of the buffer.
#define CROARING_ART_ALIGN_SIZE_RELATIVE(buf_cur, buf_start, alignment) \
    ((((ptrdiff_t)((buf_cur) - (buf_start)) + ((alignment)-1)) &        \
      (ptrdiff_t)(~((alignment)-1))) -                                  \
     (ptrdiff_t)((buf_cur) - (buf_start)))

#ifdef __cplusplus
extern "C" {
namespace roaring {
namespace internal {
#endif

typedef uint8_t art_typecode_t;

typedef struct art_leaf_s {
    union {
        struct {
            art_key_chunk_t key[ART_KEY_BYTES];
            art_val_t val;
        };
        uint64_t next_free;
    };
} art_leaf_t;

// Inner node, with prefix.
//
// We use a fixed-length array as a pointer would be larger than the array.
typedef struct art_inner_node_s {
    uint8_t prefix_size;
    uint8_t prefix[ART_KEY_BYTES - 1];
} art_inner_node_t;

// Inner node types.

// Node4: key[i] corresponds with children[i]. Keys are sorted.
typedef struct art_node4_s {
    union {
        struct {
            art_inner_node_t base;
            uint8_t count;
            uint8_t keys[4];
            art_ref_t children[4];
        };
        uint64_t next_free;
    };
} art_node4_t;

// Node16: key[i] corresponds with children[i]. Keys are sorted.
typedef struct art_node16_s {
    union {
        struct {
            art_inner_node_t base;
            uint8_t count;
            uint8_t keys[16];
            art_ref_t children[16];
        };
        uint64_t next_free;
    };
} art_node16_t;

// Node48: key[i] corresponds with children[key[i]] if key[i] !=
// CROARING_ART_NODE48_EMPTY_VAL. Keys are naturally sorted due to direct
// indexing.
typedef struct art_node48_s {
    union {
        struct {
            art_inner_node_t base;
            uint8_t count;
            // Bitset where the ith bit is set if children[i] is available
            // Because there are at most 48 children, only the bottom 48 bits
            // are used.
            uint64_t available_children;
            uint8_t keys[256];
            art_ref_t children[48];
        };
        uint64_t next_free;
    };
} art_node48_t;

// Node256: children[i] is directly indexed by key chunk. A child is present if
// children[i] != NULL.
typedef struct art_node256_s {
    union {
        struct {
            art_inner_node_t base;
            uint16_t count;
            art_ref_t children[256];
        };
        uint64_t next_free;
    };
} art_node256_t;

// Size of each node type, indexed by typecode for convenience.
static const size_t ART_NODE_SIZES[] = {
    0,
    sizeof(art_leaf_t),
    sizeof(art_node4_t),
    sizeof(art_node16_t),
    sizeof(art_node48_t),
    sizeof(art_node256_t),
};

// Helper struct to refer to a child within a node at a specific index.
typedef struct art_indexed_child_s {
    art_ref_t child;
    uint8_t index;
    art_key_chunk_t key_chunk;
} art_indexed_child_t;

typedef struct art_internal_validate_s {
    const char **reason;
    art_validate_cb_t validate_cb;
    void *context;

    int depth;
    art_key_chunk_t current_key[ART_KEY_BYTES];
} art_internal_validate_t;

// Set the reason message, and return false for convenience.
static inline bool art_validate_fail(const art_internal_validate_t *validate,
                                     const char *msg) {
    *validate->reason = msg;
    return false;
}

static inline art_ref_t art_to_ref(uint64_t index, art_typecode_t typecode) {
    return ((art_ref_t)index) << 16 | typecode;
}

static inline uint64_t art_ref_index(art_ref_t ref) {
    return ((uint64_t)ref) >> 16;
}

static inline art_typecode_t art_ref_typecode(art_ref_t ref) {
    return (art_typecode_t)ref;
}

/**
 * Gets a pointer to a node from its reference. The pointer only remains valid
 * under non-mutating operations. If any mutating operations occur, this
 * function should be called again to get a valid pointer to the node.
 */
static art_node_t *art_deref(const art_t *art, art_ref_t ref) {
    assert(ref != CROARING_ART_NULL_REF);
    art_typecode_t typecode = art_ref_typecode(ref);
    return (art_node_t *)((char *)art->nodes[typecode] +
                          art_ref_index(ref) * ART_NODE_SIZES[typecode]);
}

static inline art_node_t *art_get_node(const art_t *art, uint64_t index,
                                       art_typecode_t typecode) {
    return art_deref(art, art_to_ref(index, typecode));
}

static inline uint64_t art_get_index(const art_t *art, const art_node_t *node,
                                     art_typecode_t typecode) {
    art_node_t *nodes = art->nodes[typecode];
    switch (typecode) {
        case CROARING_ART_LEAF_TYPE:
            return (art_leaf_t *)node - (art_leaf_t *)nodes;
        case CROARING_ART_NODE4_TYPE:
            return (art_node4_t *)node - (art_node4_t *)nodes;
        case CROARING_ART_NODE16_TYPE:
            return (art_node16_t *)node - (art_node16_t *)nodes;
        case CROARING_ART_NODE48_TYPE:
            return (art_node48_t *)node - (art_node48_t *)nodes;
        case CROARING_ART_NODE256_TYPE:
            return (art_node256_t *)node - (art_node256_t *)nodes;
        default:
            assert(false);
            return 0;
    }
}

/**
 * Creates a reference from a pointer.
 */
static inline art_ref_t art_get_ref(const art_t *art, const art_node_t *node,
                                    art_typecode_t typecode) {
    return art_to_ref(art_get_index(art, node, typecode), typecode);
}

static inline bool art_is_leaf(art_ref_t ref) {
    return art_ref_typecode(ref) == CROARING_ART_LEAF_TYPE;
}

static inline void art_init_inner_node(art_inner_node_t *node,
                                       const art_key_chunk_t prefix[],
                                       uint8_t prefix_size) {
    node->prefix_size = prefix_size;
    memcpy(node->prefix, prefix, prefix_size * sizeof(art_key_chunk_t));
}

static void art_node_free(art_t *art, art_node_t *node,
                          art_typecode_t typecode);

static uint64_t art_allocate_index(art_t *art, art_typecode_t typecode);

// ===================== Start of node-specific functions ======================

static art_ref_t art_leaf_create(art_t *art, const art_key_chunk_t key[],
                                 art_val_t val) {
    uint64_t index = art_allocate_index(art, CROARING_ART_LEAF_TYPE);
    art_leaf_t *leaf =
        ((art_leaf_t *)art->nodes[CROARING_ART_LEAF_TYPE]) + index;
    memcpy(leaf->key, key, ART_KEY_BYTES);
    leaf->val = val;
    return art_to_ref(index, CROARING_ART_LEAF_TYPE);
}

static art_node4_t *art_node4_create(art_t *art, const art_key_chunk_t prefix[],
                                     uint8_t prefix_size);
static art_node16_t *art_node16_create(art_t *art,
                                       const art_key_chunk_t prefix[],
                                       uint8_t prefix_size);
static art_node48_t *art_node48_create(art_t *art,
                                       const art_key_chunk_t prefix[],
                                       uint8_t prefix_size);
static art_node256_t *art_node256_create(art_t *art,
                                         const art_key_chunk_t prefix[],
                                         uint8_t prefix_size);

static art_ref_t art_node4_insert(art_t *art, art_node4_t *node,
                                  art_ref_t child, uint8_t key);
static art_ref_t art_node16_insert(art_t *art, art_node16_t *node,
                                   art_ref_t child, uint8_t key);
static art_ref_t art_node48_insert(art_t *art, art_node48_t *node,
                                   art_ref_t child, uint8_t key);
static art_ref_t art_node256_insert(art_t *art, art_node256_t *node,
                                    art_ref_t child, uint8_t key);

static art_node4_t *art_node4_create(art_t *art, const art_key_chunk_t prefix[],
                                     uint8_t prefix_size) {
    uint64_t index = art_allocate_index(art, CROARING_ART_NODE4_TYPE);
    art_node4_t *node =
        ((art_node4_t *)art->nodes[CROARING_ART_NODE4_TYPE]) + index;
    art_init_inner_node(&node->base, prefix, prefix_size);
    node->count = 0;
    return node;
}

static inline art_ref_t art_node4_find_child(const art_node4_t *node,
                                             art_key_chunk_t key) {
    for (size_t i = 0; i < node->count; ++i) {
        if (node->keys[i] == key) {
            return node->children[i];
        }
    }
    return CROARING_ART_NULL_REF;
}

static art_ref_t art_node4_insert(art_t *art, art_node4_t *node,
                                  art_ref_t child, uint8_t key) {
    if (node->count < 4) {
        size_t idx = 0;
        for (; idx < node->count; ++idx) {
            if (node->keys[idx] > key) {
                break;
            }
        }
        size_t after = node->count - idx;
        // Shift other keys to maintain sorted order.
        memmove(node->keys + idx + 1, node->keys + idx,
                after * sizeof(art_key_chunk_t));
        memmove(node->children + idx + 1, node->children + idx,
                after * sizeof(art_ref_t));

        node->children[idx] = child;
        node->keys[idx] = key;
        node->count++;
        return art_get_ref(art, (art_node_t *)node, CROARING_ART_NODE4_TYPE);
    }
    art_node16_t *new_node =
        art_node16_create(art, node->base.prefix, node->base.prefix_size);
    // Instead of calling insert, this could be specialized to 2x memcpy and
    // setting the count.
    for (size_t i = 0; i < 4; ++i) {
        art_node16_insert(art, new_node, node->children[i], node->keys[i]);
    }
    art_node_free(art, (art_node_t *)node, CROARING_ART_NODE4_TYPE);
    return art_node16_insert(art, new_node, child, key);
}

static inline art_ref_t art_node4_erase(art_t *art, art_node4_t *node,
                                        art_key_chunk_t key_chunk) {
    int idx = -1;
    for (size_t i = 0; i < node->count; ++i) {
        if (node->keys[i] == key_chunk) {
            idx = i;
        }
    }
    if (idx == -1) {
        return art_get_ref(art, (art_node_t *)node, CROARING_ART_NODE4_TYPE);
    }
    if (node->count == 2) {
        // Only one child remains after erasing, so compress the path by
        // removing this node.
        uint8_t other_idx = idx ^ 1;
        art_ref_t remaining_child = node->children[other_idx];
        art_key_chunk_t remaining_child_key = node->keys[other_idx];
        if (!art_is_leaf(remaining_child)) {
            // Correct the prefix of the child node.
            art_inner_node_t *inner_node =
                (art_inner_node_t *)art_deref(art, remaining_child);
            memmove(inner_node->prefix + node->base.prefix_size + 1,
                    inner_node->prefix, inner_node->prefix_size);
            memcpy(inner_node->prefix, node->base.prefix,
                   node->base.prefix_size);
            inner_node->prefix[node->base.prefix_size] = remaining_child_key;
            inner_node->prefix_size += node->base.prefix_size + 1;
        }
        art_node_free(art, (art_node_t *)node, CROARING_ART_NODE4_TYPE);
        return remaining_child;
    }
    // Shift other keys to maintain sorted order.
    size_t after_next = node->count - idx - 1;
    memmove(node->keys + idx, node->keys + idx + 1,
            after_next * sizeof(art_key_chunk_t));
    memmove(node->children + idx, node->children + idx + 1,
            after_next * sizeof(art_ref_t));
    node->count--;
    return art_get_ref(art, (art_node_t *)node, CROARING_ART_NODE4_TYPE);
}

static inline void art_node4_replace(art_node4_t *node,
                                     art_key_chunk_t key_chunk,
                                     art_ref_t new_child) {
    for (size_t i = 0; i < node->count; ++i) {
        if (node->keys[i] == key_chunk) {
            node->children[i] = new_child;
            return;
        }
    }
}

static inline art_indexed_child_t art_node4_next_child(const art_node4_t *node,
                                                       int index) {
    art_indexed_child_t indexed_child;
    index++;
    if (index >= node->count) {
        indexed_child.child = CROARING_ART_NULL_REF;
        return indexed_child;
    }
    indexed_child.index = index;
    indexed_child.child = node->children[index];
    indexed_child.key_chunk = node->keys[index];
    return indexed_child;
}

static inline art_indexed_child_t art_node4_prev_child(const art_node4_t *node,
                                                       int index) {
    if (index > node->count) {
        index = node->count;
    }
    index--;
    art_indexed_child_t indexed_child;
    if (index < 0) {
        indexed_child.child = CROARING_ART_NULL_REF;
        return indexed_child;
    }
    indexed_child.index = index;
    indexed_child.child = node->children[index];
    indexed_child.key_chunk = node->keys[index];
    return indexed_child;
}

static inline art_indexed_child_t art_node4_child_at(const art_node4_t *node,
                                                     int index) {
    art_indexed_child_t indexed_child;
    if (index < 0 || index >= node->count) {
        indexed_child.child = CROARING_ART_NULL_REF;
        return indexed_child;
    }
    indexed_child.index = index;
    indexed_child.child = node->children[index];
    indexed_child.key_chunk = node->keys[index];
    return indexed_child;
}

static inline art_indexed_child_t art_node4_lower_bound(
    art_node4_t *node, art_key_chunk_t key_chunk) {
    art_indexed_child_t indexed_child;
    for (size_t i = 0; i < node->count; ++i) {
        if (node->keys[i] >= key_chunk) {
            indexed_child.index = i;
            indexed_child.child = node->children[i];
            indexed_child.key_chunk = node->keys[i];
            return indexed_child;
        }
    }
    indexed_child.child = CROARING_ART_NULL_REF;
    return indexed_child;
}

static bool art_internal_validate_at(const art_t *art, art_ref_t ref,
                                     art_internal_validate_t validator);

static bool art_node4_internal_validate(const art_t *art,
                                        const art_node4_t *node,
                                        art_internal_validate_t validator) {
    if (node->count == 0) {
        return art_validate_fail(&validator, "Node4 has no children");
    }
    if (node->count > 4) {
        return art_validate_fail(&validator, "Node4 has too many children");
    }
    if (node->count == 1) {
        return art_validate_fail(
            &validator, "Node4 and child node should have been combined");
    }
    validator.depth++;
    for (int i = 0; i < node->count; ++i) {
        if (i > 0) {
            if (node->keys[i - 1] >= node->keys[i]) {
                return art_validate_fail(
                    &validator, "Node4 keys are not strictly increasing");
            }
        }
        for (int j = i + 1; j < node->count; ++j) {
            if (node->children[i] == node->children[j]) {
                return art_validate_fail(&validator,
                                         "Node4 has duplicate children");
            }
        }
        validator.current_key[validator.depth - 1] = node->keys[i];
        if (!art_internal_validate_at(art, node->children[i], validator)) {
            return false;
        }
    }
    return true;
}

static art_node16_t *art_node16_create(art_t *art,
                                       const art_key_chunk_t prefix[],
                                       uint8_t prefix_size) {
    uint64_t index = art_allocate_index(art, CROARING_ART_NODE16_TYPE);
    art_node16_t *node =
        ((art_node16_t *)art->nodes[CROARING_ART_NODE16_TYPE]) + index;
    art_init_inner_node(&node->base, prefix, prefix_size);
    node->count = 0;
    return node;
}

static inline art_ref_t art_node16_find_child(const art_node16_t *node,
                                              art_key_chunk_t key) {
    for (size_t i = 0; i < node->count; ++i) {
        if (node->keys[i] == key) {
            return node->children[i];
        }
    }
    return CROARING_ART_NULL_REF;
}

static art_ref_t art_node16_insert(art_t *art, art_node16_t *node,
                                   art_ref_t child, uint8_t key) {
    if (node->count < 16) {
        size_t idx = 0;
        for (; idx < node->count; ++idx) {
            if (node->keys[idx] > key) {
                break;
            }
        }
        size_t after = node->count - idx;
        // Shift other keys to maintain sorted order.
        memmove(node->keys + idx + 1, node->keys + idx,
                after * sizeof(art_key_chunk_t));
        memmove(node->children + idx + 1, node->children + idx,
                after * sizeof(art_ref_t));

        node->children[idx] = child;
        node->keys[idx] = key;
        node->count++;
        return art_get_ref(art, (art_node_t *)node, CROARING_ART_NODE16_TYPE);
    }
    art_node48_t *new_node =
        art_node48_create(art, node->base.prefix, node->base.prefix_size);
    for (size_t i = 0; i < 16; ++i) {
        art_node48_insert(art, new_node, node->children[i], node->keys[i]);
    }
    art_node_free(art, (art_node_t *)node, CROARING_ART_NODE16_TYPE);
    return art_node48_insert(art, new_node, child, key);
}

static inline art_ref_t art_node16_erase(art_t *art, art_node16_t *node,
                                         uint8_t key_chunk) {
    for (size_t i = 0; i < node->count; ++i) {
        if (node->keys[i] == key_chunk) {
            // Shift other keys to maintain sorted order.
            size_t after_next = node->count - i - 1;
            memmove(node->keys + i, node->keys + i + 1,
                    after_next * sizeof(key_chunk));
            memmove(node->children + i, node->children + i + 1,
                    after_next * sizeof(art_ref_t));
            node->count--;
            break;
        }
    }
    if (node->count > 4) {
        return art_get_ref(art, (art_node_t *)node, CROARING_ART_NODE16_TYPE);
    }
    art_node4_t *new_node =
        art_node4_create(art, node->base.prefix, node->base.prefix_size);
    // Instead of calling insert, this could be specialized to 2x memcpy and
    // setting the count.
    for (size_t i = 0; i < 4; ++i) {
        art_node4_insert(art, new_node, node->children[i], node->keys[i]);
    }
    art_node_free(art, (art_node_t *)node, CROARING_ART_NODE16_TYPE);
    return art_get_ref(art, (art_node_t *)new_node, CROARING_ART_NODE4_TYPE);
}

static inline void art_node16_replace(art_node16_t *node,
                                      art_key_chunk_t key_chunk,
                                      art_ref_t new_child) {
    for (uint8_t i = 0; i < node->count; ++i) {
        if (node->keys[i] == key_chunk) {
            node->children[i] = new_child;
            return;
        }
    }
}

static inline art_indexed_child_t art_node16_next_child(
    const art_node16_t *node, int index) {
    art_indexed_child_t indexed_child;
    index++;
    if (index >= node->count) {
        indexed_child.child = CROARING_ART_NULL_REF;
        return indexed_child;
    }
    indexed_child.index = index;
    indexed_child.child = node->children[index];
    indexed_child.key_chunk = node->keys[index];
    return indexed_child;
}

static inline art_indexed_child_t art_node16_prev_child(
    const art_node16_t *node, int index) {
    if (index > node->count) {
        index = node->count;
    }
    index--;
    art_indexed_child_t indexed_child;
    if (index < 0) {
        indexed_child.child = CROARING_ART_NULL_REF;
        return indexed_child;
    }
    indexed_child.index = index;
    indexed_child.child = node->children[index];
    indexed_child.key_chunk = node->keys[index];
    return indexed_child;
}

static inline art_indexed_child_t art_node16_child_at(const art_node16_t *node,
                                                      int index) {
    art_indexed_child_t indexed_child;
    if (index < 0 || index >= node->count) {
        indexed_child.child = CROARING_ART_NULL_REF;
        return indexed_child;
    }
    indexed_child.index = index;
    indexed_child.child = node->children[index];
    indexed_child.key_chunk = node->keys[index];
    return indexed_child;
}

static inline art_indexed_child_t art_node16_lower_bound(
    art_node16_t *node, art_key_chunk_t key_chunk) {
    art_indexed_child_t indexed_child;
    for (size_t i = 0; i < node->count; ++i) {
        if (node->keys[i] >= key_chunk) {
            indexed_child.index = i;
            indexed_child.child = node->children[i];
            indexed_child.key_chunk = node->keys[i];
            return indexed_child;
        }
    }
    indexed_child.child = CROARING_ART_NULL_REF;
    return indexed_child;
}

static bool art_node16_internal_validate(const art_t *art,
                                         const art_node16_t *node,
                                         art_internal_validate_t validator) {
    if (node->count <= 4) {
        return art_validate_fail(&validator, "Node16 has too few children");
    }
    if (node->count > 16) {
        return art_validate_fail(&validator, "Node16 has too many children");
    }
    validator.depth++;
    for (int i = 0; i < node->count; ++i) {
        if (i > 0) {
            if (node->keys[i - 1] >= node->keys[i]) {
                return art_validate_fail(
                    &validator, "Node16 keys are not strictly increasing");
            }
        }
        for (int j = i + 1; j < node->count; ++j) {
            if (node->children[i] == node->children[j]) {
                return art_validate_fail(&validator,
                                         "Node16 has duplicate children");
            }
        }
        validator.current_key[validator.depth - 1] = node->keys[i];
        if (!art_internal_validate_at(art, node->children[i], validator)) {
            return false;
        }
    }
    return true;
}

static art_node48_t *art_node48_create(art_t *art,
                                       const art_key_chunk_t prefix[],
                                       uint8_t prefix_size) {
    uint64_t index = art_allocate_index(art, CROARING_ART_NODE48_TYPE);
    art_node48_t *node =
        ((art_node48_t *)art->nodes[CROARING_ART_NODE48_TYPE]) + index;
    art_init_inner_node(&node->base, prefix, prefix_size);
    node->count = 0;
    node->available_children = CROARING_NODE48_AVAILABLE_CHILDREN_MASK;
    for (size_t i = 0; i < 256; ++i) {
        node->keys[i] = CROARING_ART_NODE48_EMPTY_VAL;
    }
    return node;
}

static inline art_ref_t art_node48_find_child(const art_node48_t *node,
                                              art_key_chunk_t key) {
    uint8_t val_idx = node->keys[key];
    if (val_idx != CROARING_ART_NODE48_EMPTY_VAL) {
        return node->children[val_idx];
    }
    return CROARING_ART_NULL_REF;
}

static art_ref_t art_node48_insert(art_t *art, art_node48_t *node,
                                   art_ref_t child, uint8_t key) {
    if (node->count < 48) {
        // node->available_children is only zero when the node is full (count ==
        // 48), we just checked count < 48
        uint8_t val_idx = roaring_trailing_zeroes(node->available_children);
        node->keys[key] = val_idx;
        node->children[val_idx] = child;
        node->count++;
        node->available_children &= ~(UINT64_C(1) << val_idx);
        return art_get_ref(art, (art_node_t *)node, CROARING_ART_NODE48_TYPE);
    }
    art_node256_t *new_node =
        art_node256_create(art, node->base.prefix, node->base.prefix_size);
    for (size_t i = 0; i < 256; ++i) {
        uint8_t val_idx = node->keys[i];
        if (val_idx != CROARING_ART_NODE48_EMPTY_VAL) {
            art_node256_insert(art, new_node, node->children[val_idx], i);
        }
    }
    art_node_free(art, (art_node_t *)node, CROARING_ART_NODE48_TYPE);
    return art_node256_insert(art, new_node, child, key);
}

static inline art_ref_t art_node48_erase(art_t *art, art_node48_t *node,
                                         uint8_t key_chunk) {
    uint8_t val_idx = node->keys[key_chunk];
    if (val_idx == CROARING_ART_NODE48_EMPTY_VAL) {
        return art_get_ref(art, (art_node_t *)node, CROARING_ART_NODE48_TYPE);
    }
    node->keys[key_chunk] = CROARING_ART_NODE48_EMPTY_VAL;
    node->available_children |= UINT64_C(1) << val_idx;
    node->count--;
    if (node->count > 16) {
        return art_get_ref(art, (art_node_t *)node, CROARING_ART_NODE48_TYPE);
    }

    art_node16_t *new_node =
        art_node16_create(art, node->base.prefix, node->base.prefix_size);
    for (size_t i = 0; i < 256; ++i) {
        val_idx = node->keys[i];
        if (val_idx != CROARING_ART_NODE48_EMPTY_VAL) {
            art_node16_insert(art, new_node, node->children[val_idx], i);
        }
    }
    art_node_free(art, (art_node_t *)node, CROARING_ART_NODE48_TYPE);
    return art_get_ref(art, (art_node_t *)new_node, CROARING_ART_NODE16_TYPE);
}

static inline void art_node48_replace(art_node48_t *node,
                                      art_key_chunk_t key_chunk,
                                      art_ref_t new_child) {
    uint8_t val_idx = node->keys[key_chunk];
    assert(val_idx != CROARING_ART_NODE48_EMPTY_VAL);
    node->children[val_idx] = new_child;
}

static inline art_indexed_child_t art_node48_next_child(
    const art_node48_t *node, int index) {
    art_indexed_child_t indexed_child;
    index++;
    for (size_t i = index; i < 256; ++i) {
        if (node->keys[i] != CROARING_ART_NODE48_EMPTY_VAL) {
            indexed_child.index = i;
            indexed_child.child = node->children[node->keys[i]];
            indexed_child.key_chunk = i;
            return indexed_child;
        }
    }
    indexed_child.child = CROARING_ART_NULL_REF;
    return indexed_child;
}

static inline art_indexed_child_t art_node48_prev_child(
    const art_node48_t *node, int index) {
    if (index > 256) {
        index = 256;
    }
    index--;
    art_indexed_child_t indexed_child;
    for (int i = index; i >= 0; --i) {
        if (node->keys[i] != CROARING_ART_NODE48_EMPTY_VAL) {
            indexed_child.index = i;
            indexed_child.child = node->children[node->keys[i]];
            indexed_child.key_chunk = i;
            return indexed_child;
        }
    }
    indexed_child.child = CROARING_ART_NULL_REF;
    return indexed_child;
}

static inline art_indexed_child_t art_node48_child_at(const art_node48_t *node,
                                                      int index) {
    art_indexed_child_t indexed_child;
    if (index < 0 || index >= 256) {
        indexed_child.child = CROARING_ART_NULL_REF;
        return indexed_child;
    }
    indexed_child.index = index;
    indexed_child.child = node->children[node->keys[index]];
    indexed_child.key_chunk = index;
    return indexed_child;
}

static inline art_indexed_child_t art_node48_lower_bound(
    art_node48_t *node, art_key_chunk_t key_chunk) {
    art_indexed_child_t indexed_child;
    for (size_t i = key_chunk; i < 256; ++i) {
        if (node->keys[i] != CROARING_ART_NODE48_EMPTY_VAL) {
            indexed_child.index = i;
            indexed_child.child = node->children[node->keys[i]];
            indexed_child.key_chunk = i;
            return indexed_child;
        }
    }
    indexed_child.child = CROARING_ART_NULL_REF;
    return indexed_child;
}

static bool art_node48_internal_validate(const art_t *art,
                                         const art_node48_t *node,
                                         art_internal_validate_t validator) {
    if (node->count <= 16) {
        return art_validate_fail(&validator, "Node48 has too few children");
    }
    if (node->count > 48) {
        return art_validate_fail(&validator, "Node48 has too many children");
    }
    uint64_t used_children = 0;
    for (int i = 0; i < 256; ++i) {
        uint8_t child_idx = node->keys[i];
        if (child_idx != CROARING_ART_NODE48_EMPTY_VAL) {
            if (used_children & (UINT64_C(1) << child_idx)) {
                return art_validate_fail(
                    &validator, "Node48 keys point to the same child index");
            }

            art_ref_t child = node->children[child_idx];
            if (child == CROARING_ART_NULL_REF) {
                return art_validate_fail(&validator, "Node48 has a NULL child");
            }
            used_children |= UINT64_C(1) << child_idx;
        }
    }
    uint64_t expected_used_children =
        (node->available_children) ^ CROARING_NODE48_AVAILABLE_CHILDREN_MASK;
    if (used_children != expected_used_children) {
        return art_validate_fail(
            &validator,
            "Node48 available_children does not match actual children");
    }
    while (used_children != 0) {
        uint8_t child_idx = roaring_trailing_zeroes(used_children);
        used_children &= used_children - 1;

        uint64_t other_children = used_children;
        while (other_children != 0) {
            uint8_t other_child_idx = roaring_trailing_zeroes(other_children);
            if (node->children[child_idx] == node->children[other_child_idx]) {
                return art_validate_fail(&validator,
                                         "Node48 has duplicate children");
            }
            other_children &= other_children - 1;
        }
    }

    validator.depth++;
    for (int i = 0; i < 256; ++i) {
        if (node->keys[i] != CROARING_ART_NODE48_EMPTY_VAL) {
            validator.current_key[validator.depth - 1] = i;
            if (!art_internal_validate_at(art, node->children[node->keys[i]],
                                          validator)) {
                return false;
            }
        }
    }
    return true;
}

static art_node256_t *art_node256_create(art_t *art,
                                         const art_key_chunk_t prefix[],
                                         uint8_t prefix_size) {
    uint64_t index = art_allocate_index(art, CROARING_ART_NODE256_TYPE);
    art_node256_t *node =
        ((art_node256_t *)art->nodes[CROARING_ART_NODE256_TYPE]) + index;
    art_init_inner_node(&node->base, prefix, prefix_size);
    node->count = 0;
    for (size_t i = 0; i < 256; ++i) {
        node->children[i] = CROARING_ART_NULL_REF;
    }
    return node;
}

static inline art_ref_t art_node256_find_child(const art_node256_t *node,
                                               art_key_chunk_t key) {
    return node->children[key];
}

static art_ref_t art_node256_insert(art_t *art, art_node256_t *node,
                                    art_ref_t child, uint8_t key) {
    node->children[key] = child;
    node->count++;
    return art_get_ref(art, (art_node_t *)node, CROARING_ART_NODE256_TYPE);
}

static inline art_ref_t art_node256_erase(art_t *art, art_node256_t *node,
                                          uint8_t key_chunk) {
    node->children[key_chunk] = CROARING_ART_NULL_REF;
    node->count--;
    if (node->count > 48) {
        return art_get_ref(art, (art_node_t *)node, CROARING_ART_NODE256_TYPE);
    }

    art_node48_t *new_node =
        art_node48_create(art, node->base.prefix, node->base.prefix_size);
    for (size_t i = 0; i < 256; ++i) {
        if (node->children[i] != CROARING_ART_NULL_REF) {
            art_node48_insert(art, new_node, node->children[i], i);
        }
    }
    art_node_free(art, (art_node_t *)node, CROARING_ART_NODE256_TYPE);
    return art_get_ref(art, (art_node_t *)new_node, CROARING_ART_NODE48_TYPE);
}

static inline void art_node256_replace(art_node256_t *node,
                                       art_key_chunk_t key_chunk,
                                       art_ref_t new_child) {
    node->children[key_chunk] = new_child;
}

static inline art_indexed_child_t art_node256_next_child(
    const art_node256_t *node, int index) {
    art_indexed_child_t indexed_child;
    index++;
    for (size_t i = index; i < 256; ++i) {
        if (node->children[i] != CROARING_ART_NULL_REF) {
            indexed_child.index = i;
            indexed_child.child = node->children[i];
            indexed_child.key_chunk = i;
            return indexed_child;
        }
    }
    indexed_child.child = CROARING_ART_NULL_REF;
    return indexed_child;
}

static inline art_indexed_child_t art_node256_prev_child(
    const art_node256_t *node, int index) {
    if (index > 256) {
        index = 256;
    }
    index--;
    art_indexed_child_t indexed_child;
    for (int i = index; i >= 0; --i) {
        if (node->children[i] != CROARING_ART_NULL_REF) {
            indexed_child.index = i;
            indexed_child.child = node->children[i];
            indexed_child.key_chunk = i;
            return indexed_child;
        }
    }
    indexed_child.child = CROARING_ART_NULL_REF;
    return indexed_child;
}

static inline art_indexed_child_t art_node256_child_at(
    const art_node256_t *node, int index) {
    art_indexed_child_t indexed_child;
    if (index < 0 || index >= 256) {
        indexed_child.child = CROARING_ART_NULL_REF;
        return indexed_child;
    }
    indexed_child.index = index;
    indexed_child.child = node->children[index];
    indexed_child.key_chunk = index;
    return indexed_child;
}

static inline art_indexed_child_t art_node256_lower_bound(
    art_node256_t *node, art_key_chunk_t key_chunk) {
    art_indexed_child_t indexed_child;
    for (size_t i = key_chunk; i < 256; ++i) {
        if (node->children[i] != CROARING_ART_NULL_REF) {
            indexed_child.index = i;
            indexed_child.child = node->children[i];
            indexed_child.key_chunk = i;
            return indexed_child;
        }
    }
    indexed_child.child = CROARING_ART_NULL_REF;
    return indexed_child;
}

static bool art_node256_internal_validate(const art_t *art,
                                          const art_node256_t *node,
                                          art_internal_validate_t validator) {
    if (node->count <= 48) {
        return art_validate_fail(&validator, "Node256 has too few children");
    }
    if (node->count > 256) {
        return art_validate_fail(&validator, "Node256 has too many children");
    }
    validator.depth++;
    int actual_count = 0;
    for (int i = 0; i < 256; ++i) {
        if (node->children[i] != CROARING_ART_NULL_REF) {
            actual_count++;

            for (int j = i + 1; j < 256; ++j) {
                if (node->children[i] == node->children[j]) {
                    return art_validate_fail(&validator,
                                             "Node256 has duplicate children");
                }
            }

            validator.current_key[validator.depth - 1] = i;
            if (!art_internal_validate_at(art, node->children[i], validator)) {
                return false;
            }
        }
    }
    if (actual_count != node->count) {
        return art_validate_fail(
            &validator, "Node256 count does not match actual children");
    }
    return true;
}

// Finds the child with the given key chunk in the inner node, returns NULL if
// no such child is found.
static art_ref_t art_find_child(const art_inner_node_t *node,
                                art_typecode_t typecode,
                                art_key_chunk_t key_chunk) {
    switch (typecode) {
        case CROARING_ART_NODE4_TYPE:
            return art_node4_find_child((art_node4_t *)node, key_chunk);
        case CROARING_ART_NODE16_TYPE:
            return art_node16_find_child((art_node16_t *)node, key_chunk);
        case CROARING_ART_NODE48_TYPE:
            return art_node48_find_child((art_node48_t *)node, key_chunk);
        case CROARING_ART_NODE256_TYPE:
            return art_node256_find_child((art_node256_t *)node, key_chunk);
        default:
            assert(false);
            return CROARING_ART_NULL_REF;
    }
}

// Replaces the child with the given key chunk in the inner node.
static void art_replace(art_inner_node_t *node, art_typecode_t typecode,
                        art_key_chunk_t key_chunk, art_ref_t new_child) {
    switch (typecode) {
        case CROARING_ART_NODE4_TYPE:
            art_node4_replace((art_node4_t *)node, key_chunk, new_child);
            break;
        case CROARING_ART_NODE16_TYPE:
            art_node16_replace((art_node16_t *)node, key_chunk, new_child);
            break;
        case CROARING_ART_NODE48_TYPE:
            art_node48_replace((art_node48_t *)node, key_chunk, new_child);
            break;
        case CROARING_ART_NODE256_TYPE:
            art_node256_replace((art_node256_t *)node, key_chunk, new_child);
            break;
        default:
            assert(false);
    }
}

// Erases the child with the given key chunk from the inner node, returns the
// updated node (the same as the initial node if it was not shrunk).
static art_ref_t art_node_erase(art_t *art, art_inner_node_t *node,
                                art_typecode_t typecode,
                                art_key_chunk_t key_chunk) {
    switch (typecode) {
        case CROARING_ART_NODE4_TYPE:
            return art_node4_erase(art, (art_node4_t *)node, key_chunk);
        case CROARING_ART_NODE16_TYPE:
            return art_node16_erase(art, (art_node16_t *)node, key_chunk);
        case CROARING_ART_NODE48_TYPE:
            return art_node48_erase(art, (art_node48_t *)node, key_chunk);
        case CROARING_ART_NODE256_TYPE:
            return art_node256_erase(art, (art_node256_t *)node, key_chunk);
        default:
            assert(false);
            return CROARING_ART_NULL_REF;
    }
}

// Inserts the leaf with the given key chunk in the inner node, returns a
// pointer to the (possibly expanded) node.
static art_ref_t art_node_insert_leaf(art_t *art, art_inner_node_t *node,
                                      art_typecode_t typecode,
                                      art_key_chunk_t key_chunk,
                                      art_ref_t leaf) {
    switch (typecode) {
        case CROARING_ART_NODE4_TYPE:
            return art_node4_insert(art, (art_node4_t *)node, leaf, key_chunk);
        case CROARING_ART_NODE16_TYPE:
            return art_node16_insert(art, (art_node16_t *)node, leaf,
                                     key_chunk);
        case CROARING_ART_NODE48_TYPE:
            return art_node48_insert(art, (art_node48_t *)node, leaf,
                                     key_chunk);
        case CROARING_ART_NODE256_TYPE:
            return art_node256_insert(art, (art_node256_t *)node, leaf,
                                      key_chunk);
        default:
            assert(false);
            return CROARING_ART_NULL_REF;
    }
}

static uint64_t art_node_get_next_free(const art_t *art, art_ref_t ref) {
    art_node_t *node = art_deref(art, ref);
    art_typecode_t typecode = art_ref_typecode(ref);
    switch (typecode) {
        case CROARING_ART_LEAF_TYPE:
            return ((art_leaf_t *)node)->next_free;
        case CROARING_ART_NODE4_TYPE:
            return ((art_node4_t *)node)->next_free;
        case CROARING_ART_NODE16_TYPE:
            return ((art_node16_t *)node)->next_free;
        case CROARING_ART_NODE48_TYPE:
            return ((art_node48_t *)node)->next_free;
        case CROARING_ART_NODE256_TYPE:
            return ((art_node256_t *)node)->next_free;
        default:
            assert(false);
            return 0;
    }
}

static void art_node_set_next_free(art_node_t *node, art_typecode_t typecode,
                                   uint64_t next_free) {
    switch (typecode) {
        case CROARING_ART_LEAF_TYPE:
            ((art_leaf_t *)node)->next_free = next_free;
            break;
        case CROARING_ART_NODE4_TYPE:
            ((art_node4_t *)node)->next_free = next_free;
            break;
        case CROARING_ART_NODE16_TYPE:
            ((art_node16_t *)node)->next_free = next_free;
            break;
        case CROARING_ART_NODE48_TYPE:
            ((art_node48_t *)node)->next_free = next_free;
            break;
        case CROARING_ART_NODE256_TYPE:
            ((art_node256_t *)node)->next_free = next_free;
            break;
        default:
            assert(false);
    }
}

// Marks the node as unoccopied and frees its index.
static void art_node_free(art_t *art, art_node_t *node,
                          art_typecode_t typecode) {
    uint64_t index = art_get_index(art, node, typecode);
    uint64_t next_free = art->first_free[typecode];
    art_node_set_next_free(node, typecode, next_free);
    art->first_free[typecode] = index;
}

// Returns the next child in key order, or NULL if called on a leaf.
// Provided index may be in the range [-1, 255].
static art_indexed_child_t art_node_next_child(const art_node_t *node,
                                               art_typecode_t typecode,
                                               int index) {
    switch (typecode) {
        case CROARING_ART_LEAF_TYPE:
            return (art_indexed_child_t){
                .child = CROARING_ART_NULL_REF,
                .index = 0,
                .key_chunk = 0,
            };
        case CROARING_ART_NODE4_TYPE:
            return art_node4_next_child((art_node4_t *)node, index);
        case CROARING_ART_NODE16_TYPE:
            return art_node16_next_child((art_node16_t *)node, index);
        case CROARING_ART_NODE48_TYPE:
            return art_node48_next_child((art_node48_t *)node, index);
        case CROARING_ART_NODE256_TYPE:
            return art_node256_next_child((art_node256_t *)node, index);
        default:
            assert(false);
            return (art_indexed_child_t){0, 0, 0};
    }
}

// Returns the previous child in key order, or NULL if called on a leaf.
// Provided index may be in the range [0, 256].
static art_indexed_child_t art_node_prev_child(const art_node_t *node,
                                               art_typecode_t typecode,
                                               int index) {
    switch (typecode) {
        case CROARING_ART_LEAF_TYPE:
            return (art_indexed_child_t){
                .child = CROARING_ART_NULL_REF,
                .index = 0,
                .key_chunk = 0,
            };
        case CROARING_ART_NODE4_TYPE:
            return art_node4_prev_child((art_node4_t *)node, index);
        case CROARING_ART_NODE16_TYPE:
            return art_node16_prev_child((art_node16_t *)node, index);
        case CROARING_ART_NODE48_TYPE:
            return art_node48_prev_child((art_node48_t *)node, index);
        case CROARING_ART_NODE256_TYPE:
            return art_node256_prev_child((art_node256_t *)node, index);
        default:
            assert(false);
            return (art_indexed_child_t){0, 0, 0};
    }
}

// Returns the child found at the provided index, or NULL if called on a
// leaf. Provided index is only valid if returned by
// art_node_(next|prev)_child.
static art_indexed_child_t art_node_child_at(const art_node_t *node,
                                             art_typecode_t typecode,
                                             int index) {
    switch (typecode) {
        case CROARING_ART_LEAF_TYPE:
            return (art_indexed_child_t){
                .child = CROARING_ART_NULL_REF,
                .index = 0,
                .key_chunk = 0,
            };
        case CROARING_ART_NODE4_TYPE:
            return art_node4_child_at((art_node4_t *)node, index);
        case CROARING_ART_NODE16_TYPE:
            return art_node16_child_at((art_node16_t *)node, index);
        case CROARING_ART_NODE48_TYPE:
            return art_node48_child_at((art_node48_t *)node, index);
        case CROARING_ART_NODE256_TYPE:
            return art_node256_child_at((art_node256_t *)node, index);
        default:
            assert(false);
            return (art_indexed_child_t){0, 0, 0};
    }
}

// Returns the child with the smallest key equal to or greater than the
// given key chunk, NULL if called on a leaf or no such child was found.
static art_indexed_child_t art_node_lower_bound(const art_node_t *node,
                                                art_typecode_t typecode,
                                                art_key_chunk_t key_chunk) {
    switch (typecode) {
        case CROARING_ART_LEAF_TYPE:
            return (art_indexed_child_t){
                .child = CROARING_ART_NULL_REF,
                .index = 0,
                .key_chunk = 0,
            };
        case CROARING_ART_NODE4_TYPE:
            return art_node4_lower_bound((art_node4_t *)node, key_chunk);
        case CROARING_ART_NODE16_TYPE:
            return art_node16_lower_bound((art_node16_t *)node, key_chunk);
        case CROARING_ART_NODE48_TYPE:
            return art_node48_lower_bound((art_node48_t *)node, key_chunk);
        case CROARING_ART_NODE256_TYPE:
            return art_node256_lower_bound((art_node256_t *)node, key_chunk);
        default:
            assert(false);
            return (art_indexed_child_t){0, 0, 0};
    }
}

// ====================== End of node-specific functions ======================

// Compares the given ranges of two keys, returns their relative order:
// * Key range 1 <  key range 2: a negative value
// * Key range 1 == key range 2: 0
// * Key range 1 >  key range 2: a positive value
static inline int art_compare_prefix(const art_key_chunk_t key1[],
                                     uint8_t key1_from,
                                     const art_key_chunk_t key2[],
                                     uint8_t key2_from, uint8_t length) {
    return memcmp(key1 + key1_from, key2 + key2_from, length);
}

// Compares two keys in full, see art_compare_prefix.
int art_compare_keys(const art_key_chunk_t key1[],
                     const art_key_chunk_t key2[]) {
    return art_compare_prefix(key1, 0, key2, 0, ART_KEY_BYTES);
}

// Returns the length of the common prefix between two key ranges.
static uint8_t art_common_prefix(const art_key_chunk_t key1[],
                                 uint8_t key1_from, uint8_t key1_to,
                                 const art_key_chunk_t key2[],
                                 uint8_t key2_from, uint8_t key2_to) {
    uint8_t min_len = key1_to - key1_from;
    uint8_t key2_len = key2_to - key2_from;
    if (key2_len < min_len) {
        min_len = key2_len;
    }
    uint8_t offset = 0;
    for (; offset < min_len; ++offset) {
        if (key1[key1_from + offset] != key2[key2_from + offset]) {
            return offset;
        }
    }
    return offset;
}

/**
 * Extends the array of nodes of the given typecode. Invalidates pointers into
 * the array obtained by `art_deref`.
 */
static void art_extend(art_t *art, art_typecode_t typecode) {
    uint64_t size = art->first_free[typecode];
    uint64_t capacity = art->capacities[typecode];
    if (size < capacity) {
        return;
    }
    uint64_t new_capacity;
    if (capacity == 0) {
        new_capacity = 2;
    } else if (capacity < 1024) {
        new_capacity = 2 * capacity;
    } else {
        new_capacity = 5 * capacity / 4;
    }
    art->capacities[typecode] = new_capacity;
    art->nodes[typecode] = roaring_realloc(
        art->nodes[typecode], new_capacity * ART_NODE_SIZES[typecode]);
    uint64_t increase = new_capacity - capacity;
    memset(art_get_node(art, capacity, typecode), 0,
           increase * ART_NODE_SIZES[typecode]);
    for (uint64_t i = capacity; i < new_capacity; ++i) {
        art_node_set_next_free(art_get_node(art, i, typecode), typecode, i + 1);
    }
}

/**
 * Returns the next free index for the given typecode, may be equal to the
 * capacity of the array.
 */
static uint64_t art_next_free(const art_t *art, art_typecode_t typecode) {
    uint64_t index = art->first_free[typecode];
    return art_node_get_next_free(art, art_to_ref(index, typecode));
}

/**
 * Marks an index for the given typecode as used, expanding the relevant node
 * array if necessary.
 */
static uint64_t art_allocate_index(art_t *art, art_typecode_t typecode) {
    uint64_t first_free = art->first_free[typecode];
    if (first_free == art->capacities[typecode]) {
        art_extend(art, typecode);
        art->first_free[typecode]++;
        return first_free;
    }
    art->first_free[typecode] = art_next_free(art, typecode);
    return first_free;
}

// Returns a pointer to the rootmost node where the value was inserted, may
// not be equal to `node`.
static art_ref_t art_insert_at(art_t *art, art_ref_t ref,
                               const art_key_chunk_t key[], uint8_t depth,
                               art_ref_t new_leaf) {
    if (art_is_leaf(ref)) {
        art_leaf_t *leaf = (art_leaf_t *)art_deref(art, ref);
        uint8_t common_prefix = art_common_prefix(
            leaf->key, depth, ART_KEY_BYTES, key, depth, ART_KEY_BYTES);

        // Previously this was a leaf, create an inner node instead and add
        // both the existing and new leaf to it.
        art_node_t *new_node =
            (art_node_t *)art_node4_create(art, key + depth, common_prefix);

        art_ref_t new_ref = art_node_insert_leaf(
            art, (art_inner_node_t *)new_node, CROARING_ART_NODE4_TYPE,
            leaf->key[depth + common_prefix], ref);
        new_ref = art_node_insert_leaf(art, (art_inner_node_t *)new_node,
                                       CROARING_ART_NODE4_TYPE,
                                       key[depth + common_prefix], new_leaf);

        // The new inner node is now the rootmost node.
        return new_ref;
    }
    art_inner_node_t *inner_node = (art_inner_node_t *)art_deref(art, ref);
    // Not a leaf: inner node
    uint8_t common_prefix =
        art_common_prefix(inner_node->prefix, 0, inner_node->prefix_size, key,
                          depth, ART_KEY_BYTES);
    if (common_prefix != inner_node->prefix_size) {
        // Partial prefix match. Create a new internal node to hold the common
        // prefix.
        // We create a copy of the node's prefix as the creation of a new
        // node may invalidate the prefix pointer.
        art_key_chunk_t *prefix_copy = (art_key_chunk_t *)roaring_malloc(
            common_prefix * sizeof(art_key_chunk_t));
        memcpy(prefix_copy, inner_node->prefix,
               common_prefix * sizeof(art_key_chunk_t));
        art_node4_t *node4 = art_node4_create(art, prefix_copy, common_prefix);
        roaring_free(prefix_copy);

        // Deref as a new node was created.
        inner_node = (art_inner_node_t *)art_deref(art, ref);

        // Make the existing internal node a child of the new internal node.
        art_node4_insert(art, node4, ref, inner_node->prefix[common_prefix]);

        // Deref again as a new node was created.
        inner_node = (art_inner_node_t *)art_deref(art, ref);

        // Correct the prefix of the moved internal node, trimming off the
        // chunk inserted into the new internal node.
        inner_node->prefix_size = inner_node->prefix_size - common_prefix - 1;
        if (inner_node->prefix_size > 0) {
            // Move the remaining prefix to the correct position.
            memmove(inner_node->prefix, inner_node->prefix + common_prefix + 1,
                    inner_node->prefix_size);
        }

        // Insert the value in the new internal node.
        return art_node_insert_leaf(art, (art_inner_node_t *)node4,
                                    CROARING_ART_NODE4_TYPE,
                                    key[common_prefix + depth], new_leaf);
    }
    // Prefix matches entirely or node has no prefix. Look for an existing
    // child.
    art_key_chunk_t key_chunk = key[depth + common_prefix];
    art_ref_t child =
        art_find_child(inner_node, art_ref_typecode(ref), key_chunk);
    if (child != CROARING_ART_NULL_REF) {
        art_ref_t new_child =
            art_insert_at(art, child, key, depth + common_prefix + 1, new_leaf);
        if (new_child != child) {
            // Deref again as a new node may have been created.
            inner_node = (art_inner_node_t *)art_deref(art, ref);
            // Node type changed.
            art_replace(inner_node, art_ref_typecode(ref), key_chunk,
                        new_child);
        }
        return ref;
    }
    return art_node_insert_leaf(art, inner_node, art_ref_typecode(ref),
                                key_chunk, new_leaf);
}

// Erase helper struct.
typedef struct art_erase_result_s {
    // The rootmost node where the value was erased, may not be equal to
    // the original node. If no value was removed, this is
    // CROARING_ART_NULL_REF.
    art_ref_t rootmost_node;

    // True if a value was erased.
    bool erased;

    // Value removed, if any.
    art_val_t value_erased;
} art_erase_result_t;

// Searches for the given key starting at `node`, erases it if found.
static art_erase_result_t art_erase_at(art_t *art, art_ref_t ref,
                                       const art_key_chunk_t *key,
                                       uint8_t depth) {
    art_erase_result_t result;
    result.rootmost_node = CROARING_ART_NULL_REF;
    result.erased = false;

    if (art_is_leaf(ref)) {
        art_leaf_t *leaf = (art_leaf_t *)art_deref(art, ref);
        uint8_t common_prefix = art_common_prefix(leaf->key, 0, ART_KEY_BYTES,
                                                  key, 0, ART_KEY_BYTES);
        if (common_prefix != ART_KEY_BYTES) {
            // Leaf key mismatch.
            return result;
        }
        result.erased = true;
        result.value_erased = leaf->val;
        art_node_free(art, (art_node_t *)leaf, CROARING_ART_LEAF_TYPE);
        return result;
    }
    art_inner_node_t *inner_node = (art_inner_node_t *)art_deref(art, ref);
    uint8_t common_prefix =
        art_common_prefix(inner_node->prefix, 0, inner_node->prefix_size, key,
                          depth, ART_KEY_BYTES);
    if (common_prefix != inner_node->prefix_size) {
        // Prefix mismatch.
        return result;
    }
    art_key_chunk_t key_chunk = key[depth + common_prefix];
    art_ref_t child =
        art_find_child(inner_node, art_ref_typecode(ref), key_chunk);
    if (child == CROARING_ART_NULL_REF) {
        // No child with key chunk.
        return result;
    }
    // Try to erase the key further down. Skip the key chunk associated with
    // the child in the node.
    art_erase_result_t child_result =
        art_erase_at(art, child, key, depth + common_prefix + 1);
    if (!child_result.erased) {
        return result;
    }
    result.erased = true;
    result.value_erased = child_result.value_erased;
    result.rootmost_node = ref;

    // Deref again as nodes may have changed location.
    inner_node = (art_inner_node_t *)art_deref(art, ref);
    if (child_result.rootmost_node == CROARING_ART_NULL_REF) {
        // Child node was fully erased, erase it from this node's children.
        result.rootmost_node =
            art_node_erase(art, inner_node, art_ref_typecode(ref), key_chunk);
    } else if (child_result.rootmost_node != child) {
        // Child node was not fully erased, update the pointer to it in this
        // node.
        art_replace(inner_node, art_ref_typecode(ref), key_chunk,
                    child_result.rootmost_node);
    }
    return result;
}

// Searches for the given key starting at `node`, returns NULL if the key
// was not found.
static art_val_t *art_find_at(const art_t *art, art_ref_t ref,
                              const art_key_chunk_t *key, uint8_t depth) {
    while (!art_is_leaf(ref)) {
        art_inner_node_t *inner_node = (art_inner_node_t *)art_deref(art, ref);
        uint8_t common_prefix =
            art_common_prefix(inner_node->prefix, 0, inner_node->prefix_size,
                              key, depth, ART_KEY_BYTES);
        if (common_prefix != inner_node->prefix_size) {
            return NULL;
        }
        art_ref_t child = art_find_child(inner_node, art_ref_typecode(ref),
                                         key[depth + inner_node->prefix_size]);
        if (child == CROARING_ART_NULL_REF) {
            return NULL;
        }
        ref = child;
        // Include both the prefix and the child key chunk in the depth.
        depth += inner_node->prefix_size + 1;
    }
    art_leaf_t *leaf = (art_leaf_t *)art_deref(art, ref);
    if (depth >= ART_KEY_BYTES) {
        return &leaf->val;
    }
    uint8_t common_prefix =
        art_common_prefix(leaf->key, 0, ART_KEY_BYTES, key, 0, ART_KEY_BYTES);
    if (common_prefix == ART_KEY_BYTES) {
        return &leaf->val;
    }
    return NULL;
}

static void art_node_print_type(art_ref_t ref) {
    switch (art_ref_typecode(ref)) {
        case CROARING_ART_LEAF_TYPE:
            printf("Leaf");
            return;
        case CROARING_ART_NODE4_TYPE:
            printf("Node4");
            return;
        case CROARING_ART_NODE16_TYPE:
            printf("Node16");
            return;
        case CROARING_ART_NODE48_TYPE:
            printf("Node48");
            return;
        case CROARING_ART_NODE256_TYPE:
            printf("Node256");
            return;
        default:
            assert(false);
            return;
    }
}

void art_node_printf(const art_t *art, art_ref_t ref, uint8_t depth) {
    if (art_is_leaf(ref)) {
        printf("{ type: Leaf, key: ");
        art_leaf_t *leaf = (art_leaf_t *)art_deref(art, ref);
        for (size_t i = 0; i < ART_KEY_BYTES; ++i) {
            printf("%02x", leaf->key[i]);
        }
        printf(" }\n");
        return;
    }
    printf("{\n");
    depth++;

    printf("%*s", depth, "");
    printf("type: ");
    art_node_print_type(ref);
    printf("\n");

    art_inner_node_t *inner_node = (art_inner_node_t *)art_deref(art, ref);
    printf("%*s", depth, "");
    printf("prefix_size: %d\n", inner_node->prefix_size);

    printf("%*s", depth, "");
    printf("prefix: ");
    for (uint8_t i = 0; i < inner_node->prefix_size; ++i) {
        printf("%02x", inner_node->prefix[i]);
    }
    printf("\n");

    switch (art_ref_typecode(ref)) {
        case CROARING_ART_NODE4_TYPE: {
            art_node4_t *node4 = (art_node4_t *)inner_node;
            for (uint8_t i = 0; i < node4->count; ++i) {
                printf("%*s", depth, "");
                printf("key: %02x ", node4->keys[i]);
                art_node_printf(art, node4->children[i], depth);
            }
        } break;
        case CROARING_ART_NODE16_TYPE: {
            art_node16_t *node16 = (art_node16_t *)inner_node;
            for (uint8_t i = 0; i < node16->count; ++i) {
                printf("%*s", depth, "");
                printf("key: %02x ", node16->keys[i]);
                art_node_printf(art, node16->children[i], depth);
            }
        } break;
        case CROARING_ART_NODE48_TYPE: {
            art_node48_t *node48 = (art_node48_t *)inner_node;
            for (uint16_t i = 0; i < 256; ++i) {
                if (node48->keys[i] != CROARING_ART_NODE48_EMPTY_VAL) {
                    printf("%*s", depth, "");
                    printf("key: %02x ", i);
                    printf("child: %02x ", node48->keys[i]);
                    art_node_printf(art, node48->children[node48->keys[i]],
                                    depth);
                }
            }
        } break;
        case CROARING_ART_NODE256_TYPE: {
            art_node256_t *node256 = (art_node256_t *)inner_node;
            for (uint16_t i = 0; i < 256; ++i) {
                if (node256->children[i] != CROARING_ART_NULL_REF) {
                    printf("%*s", depth, "");
                    printf("key: %02x ", i);
                    art_node_printf(art, node256->children[i], depth);
                }
            }
        } break;
        default:
            assert(false);
            break;
    }
    depth--;
    printf("%*s", depth, "");
    printf("}\n");
}

/**
 * Moves the node at `ref` to the earliest free index before it (if any),
 * returns the new ref. Assumes `art->first_free[typecode]` points to the
 * smallest free index.
 */
static art_ref_t art_move_node_to_shrink(art_t *art, art_ref_t ref) {
    uint64_t idx = art_ref_index(ref);
    art_typecode_t typecode = art_ref_typecode(ref);
    uint64_t first_free = art->first_free[typecode];
    assert(idx != first_free);
    if (idx < first_free) {
        return ref;
    }
    uint64_t from = idx;
    uint64_t to = first_free;
    uint64_t next_free = art_node_get_next_free(art, art_to_ref(to, typecode));
    memcpy(art_get_node(art, to, typecode), art_get_node(art, from, typecode),
           ART_NODE_SIZES[typecode]);

    // With an integer representing the next free index, and an `x` representing
    // an occupied index, assume the following scenario at the start of this
    // function:
    //     nodes = [1,2,5,x,x]
    //     first_free = 0
    //
    // We just moved a node from index 3 to 0:
    //     nodes = [x,2,5,?,x]
    //
    // We need to modify the free list so that the free indices are ascending.
    // This can be done by traversing the list until we find a node with a
    // `next_free` greater than the index we copied the node from, and inserting
    // the new index in between. This leads to the following:
    //     nodes = [x,2,3,5,x]
    //     first_free = 1
    uint64_t initial_next_free = next_free;
    uint64_t current = next_free;
    while (next_free < from) {
        current = next_free;
        next_free =
            art_node_get_next_free(art, art_to_ref(next_free, typecode));
    }
    art_node_set_next_free(art_deref(art, ref), typecode, next_free);
    if (current < from) {
        art_node_set_next_free(art_get_node(art, current, typecode), typecode,
                               from);
    }
    art->first_free[typecode] =
        from < initial_next_free ? from : initial_next_free;
    return art_to_ref(to, typecode);
}

/**
 * Sorts the free lists pointed to by art->first_free in ascending index order.
 */
static void art_sort_free_lists(art_t *art) {
    for (art_typecode_t type = CROARING_ART_LEAF_TYPE;
         type <= CROARING_ART_NODE256_TYPE; ++type) {
        bool *free_indices =
            (bool *)roaring_calloc(art->capacities[type], sizeof(bool));

        for (uint64_t i = art->first_free[type]; i < art->capacities[type];
             i = art_node_get_next_free(art, art_to_ref(i, type))) {
            free_indices[i] = true;
        }

        uint64_t first_free = art->capacities[type];
        for (uint64_t i = art->capacities[type]; i > 0; --i) {
            uint64_t index = i - 1;
            if (free_indices[index]) {
                art_node_set_next_free(art_get_node(art, index, type), type,
                                       first_free);
                first_free = index;
            }
        }
        art->first_free[type] = first_free;
        roaring_free(free_indices);
    }
}

/**
 * Shrinks all node arrays to `first_free`. Assumes all indices after
 * `first_free` are unused.
 */
static size_t art_shrink_node_arrays(art_t *art) {
    size_t freed = 0;
    for (art_typecode_t t = CROARING_ART_MIN_TYPE; t <= CROARING_ART_MAX_TYPE;
         ++t) {
        if (art->first_free[t] < art->capacities[t]) {
            uint64_t new_capacity = art->first_free[t];
            art->nodes[t] = roaring_realloc(art->nodes[t],
                                            new_capacity * ART_NODE_SIZES[t]);
            freed += (art->capacities[t] - new_capacity) * ART_NODE_SIZES[t];
            art->capacities[t] = new_capacity;
        }
    }
    return freed;
}

/**
 * Traverses the ART, moving nodes to earlier free indices and modifying their
 * references along the way.
 */
static void art_shrink_at(art_t *art, art_ref_t ref) {
    if (art_is_leaf(ref)) {
        return;
    }
    switch (art_ref_typecode(ref)) {
        case CROARING_ART_NODE4_TYPE: {
            art_node4_t *node4 = (art_node4_t *)art_deref(art, ref);
            for (uint8_t i = 0; i < node4->count; ++i) {
                node4->children[i] =
                    art_move_node_to_shrink(art, node4->children[i]);
                art_shrink_at(art, node4->children[i]);
            }
        } break;
        case CROARING_ART_NODE16_TYPE: {
            art_node16_t *node16 = (art_node16_t *)art_deref(art, ref);
            for (uint8_t i = 0; i < node16->count; ++i) {
                node16->children[i] =
                    art_move_node_to_shrink(art, node16->children[i]);
                art_shrink_at(art, node16->children[i]);
            }
        } break;
        case CROARING_ART_NODE48_TYPE: {
            art_node48_t *node48 = (art_node48_t *)art_deref(art, ref);
            for (int i = 0; i < 256; ++i) {
                if (node48->keys[i] != CROARING_ART_NODE48_EMPTY_VAL) {
                    uint8_t idx = node48->keys[i];
                    node48->children[idx] =
                        art_move_node_to_shrink(art, node48->children[idx]);
                    art_shrink_at(art, node48->children[idx]);
                }
            }
        } break;
        case CROARING_ART_NODE256_TYPE: {
            art_node256_t *node256 = (art_node256_t *)art_deref(art, ref);
            for (int i = 0; i < 256; ++i) {
                if (node256->children[i] != CROARING_ART_NULL_REF) {
                    node256->children[i] =
                        art_move_node_to_shrink(art, node256->children[i]);
                    art_shrink_at(art, node256->children[i]);
                }
            }
        } break;
        default:
            assert(false);
            break;
    }
}

void art_init_cleared(art_t *art) {
    art->root = CROARING_ART_NULL_REF;
    memset(art->first_free, 0, sizeof(art->first_free));
    memset(art->capacities, 0, sizeof(art->capacities));
    for (art_typecode_t t = CROARING_ART_MIN_TYPE; t <= CROARING_ART_MAX_TYPE;
         ++t) {
        art->nodes[t] = NULL;
    }
}

size_t art_shrink_to_fit(art_t *art) {
    if (art_is_shrunken(art)) {
        return 0;
    }
    if (art->root != CROARING_ART_NULL_REF) {
        art_sort_free_lists(art);
        art->root = art_move_node_to_shrink(art, art->root);
        art_shrink_at(art, art->root);
    }
    return art_shrink_node_arrays(art);
}

bool art_is_shrunken(const art_t *art) {
    for (art_typecode_t t = CROARING_ART_MIN_TYPE; t <= CROARING_ART_MAX_TYPE;
         ++t) {
        if (art->first_free[t] != art->capacities[t]) {
            return false;
        }
    }
    return true;
}

art_val_t *art_insert(art_t *art, const art_key_chunk_t *key, art_val_t val) {
    art_ref_t leaf = art_leaf_create(art, key, val);
    if (art->root == CROARING_ART_NULL_REF) {
        art->root = leaf;
        return &((art_leaf_t *)art_deref(art, leaf))->val;
    }
    art->root = art_insert_at(art, art->root, key, 0, leaf);
    return &((art_leaf_t *)art_deref(art, leaf))->val;
}

bool art_erase(art_t *art, const art_key_chunk_t *key, art_val_t *erased_val) {
    art_val_t erased_val_local;
    if (erased_val == NULL) {
        erased_val = &erased_val_local;
    }
    if (art->root == CROARING_ART_NULL_REF) {
        return false;
    }
    art_erase_result_t result = art_erase_at(art, art->root, key, 0);
    if (!result.erased) {
        return false;
    }
    art->root = result.rootmost_node;
    *erased_val = result.value_erased;
    return true;
}

art_val_t *art_find(const art_t *art, const art_key_chunk_t *key) {
    if (art->root == CROARING_ART_NULL_REF) {
        return NULL;
    }
    return art_find_at(art, art->root, key, 0);
}

bool art_is_empty(const art_t *art) {
    return art->root == CROARING_ART_NULL_REF;
}

void art_free(art_t *art) {
    for (art_typecode_t t = CROARING_ART_MIN_TYPE; t <= CROARING_ART_MAX_TYPE;
         ++t) {
        roaring_free(art->nodes[t]);
    }
}

void art_printf(const art_t *art) {
    if (art->root == CROARING_ART_NULL_REF) {
        return;
    }
    art_node_printf(art, art->root, 0);
}

// Returns a reference to the current node that the iterator is positioned
// at.
static inline art_ref_t art_iterator_ref(art_iterator_t *iterator) {
    return iterator->frames[iterator->frame].ref;
}

// Returns the current node that the iterator is positioned at.
static inline art_node_t *art_iterator_node(art_iterator_t *iterator) {
    return art_deref(iterator->art, art_iterator_ref(iterator));
}

// Sets the iterator key and value to the leaf's key and value. Always
// returns true for convenience.
static inline bool art_iterator_valid_loc(art_iterator_t *iterator,
                                          art_ref_t leaf_ref) {
    iterator->frames[iterator->frame].ref = leaf_ref;
    iterator->frames[iterator->frame].index_in_node = 0;
    art_leaf_t *leaf = (art_leaf_t *)art_deref(iterator->art, leaf_ref);
    memcpy(iterator->key, leaf->key, ART_KEY_BYTES);
    iterator->value = &leaf->val;
    return true;
}

// Invalidates the iterator key and value. Always returns false for
// convenience.
static inline bool art_iterator_invalid_loc(art_iterator_t *iterator) {
    memset(iterator->key, 0, ART_KEY_BYTES);
    iterator->value = NULL;
    return false;
}

// Moves the iterator one level down in the tree, given a node at the
// current level and the index of the child that we're going down to.
//
// Note: does not set the index at the new level.
static void art_iterator_down(art_iterator_t *iterator, art_ref_t ref,
                              uint8_t index_in_node) {
    iterator->frames[iterator->frame].ref = ref;
    iterator->frames[iterator->frame].index_in_node = index_in_node;
    iterator->frame++;
    art_inner_node_t *node = (art_inner_node_t *)art_deref(iterator->art, ref);
    art_indexed_child_t indexed_child = art_node_child_at(
        (art_node_t *)node, art_ref_typecode(ref), index_in_node);
    assert(indexed_child.child != CROARING_ART_NULL_REF);
    iterator->frames[iterator->frame].ref = indexed_child.child;
    iterator->depth += node->prefix_size + 1;
}

// Moves the iterator to the next/previous child of the current node.
// Returns the child moved to, or NULL if there is no neighboring child.
static art_ref_t art_iterator_neighbor_child(art_iterator_t *iterator,
                                             bool forward) {
    art_iterator_frame_t frame = iterator->frames[iterator->frame];
    art_node_t *node = art_deref(iterator->art, frame.ref);
    art_indexed_child_t indexed_child;
    if (forward) {
        indexed_child = art_node_next_child(node, art_ref_typecode(frame.ref),
                                            frame.index_in_node);
    } else {
        indexed_child = art_node_prev_child(node, art_ref_typecode(frame.ref),
                                            frame.index_in_node);
    }
    if (indexed_child.child != CROARING_ART_NULL_REF) {
        art_iterator_down(iterator, frame.ref, indexed_child.index);
    }
    return indexed_child.child;
}

// Moves the iterator one level up in the tree, returns false if not
// possible.
static bool art_iterator_up(art_iterator_t *iterator) {
    if (iterator->frame == 0) {
        return false;
    }
    iterator->frame--;
    // We went up, so we are at an inner node.
    iterator->depth -=
        ((art_inner_node_t *)art_iterator_node(iterator))->prefix_size + 1;
    return true;
}

// Moves the iterator one level, followed by a move to the next / previous
// leaf. Sets the status of the iterator.
static bool art_iterator_up_and_move(art_iterator_t *iterator, bool forward) {
    if (!art_iterator_up(iterator)) {
        // We're at the root.
        return art_iterator_invalid_loc(iterator);
    }
    return art_iterator_move(iterator, forward);
}

// Initializes the iterator at the first / last leaf of the given node.
// Returns true for convenience.
static bool art_node_init_iterator(art_ref_t ref, art_iterator_t *iterator,
                                   bool first) {
    while (!art_is_leaf(ref)) {
        art_node_t *node = art_deref(iterator->art, ref);
        art_indexed_child_t indexed_child;
        if (first) {
            indexed_child =
                art_node_next_child(node, art_ref_typecode(ref), -1);
        } else {
            indexed_child =
                art_node_prev_child(node, art_ref_typecode(ref), 256);
        }
        art_iterator_down(iterator, ref, indexed_child.index);
        ref = indexed_child.child;
    }
    // We're at a leaf.
    iterator->frames[iterator->frame].ref = ref;
    iterator->frames[iterator->frame].index_in_node = 0;  // Should not matter.
    return art_iterator_valid_loc(iterator, ref);
}

bool art_iterator_move(art_iterator_t *iterator, bool forward) {
    if (art_is_leaf(art_iterator_ref(iterator))) {
        bool went_up = art_iterator_up(iterator);
        if (!went_up) {
            // This leaf is the root, we're done.
            return art_iterator_invalid_loc(iterator);
        }
    }
    // Advance within inner node.
    art_ref_t neighbor_child = art_iterator_neighbor_child(iterator, forward);
    if (neighbor_child != CROARING_ART_NULL_REF) {
        // There is another child at this level, go down to the first or
        // last leaf.
        return art_node_init_iterator(neighbor_child, iterator, forward);
    }
    // No more children at this level, go up.
    return art_iterator_up_and_move(iterator, forward);
}

// Assumes the iterator is positioned at a node with an equal prefix path up
// to the depth of the iterator.
static bool art_node_iterator_lower_bound(art_ref_t ref,
                                          art_iterator_t *iterator,
                                          const art_key_chunk_t key[]) {
    while (!art_is_leaf(ref)) {
        art_inner_node_t *inner_node =
            (art_inner_node_t *)art_deref(iterator->art, ref);
        int prefix_comparison =
            art_compare_prefix(inner_node->prefix, 0, key, iterator->depth,
                               inner_node->prefix_size);
        if (prefix_comparison < 0) {
            // Prefix so far has been equal, but we've found a smaller key.
            // Since we take the lower bound within each node, we can return
            // the next leaf.
            return art_iterator_up_and_move(iterator, true);
        } else if (prefix_comparison > 0) {
            // No key equal to the key we're looking for, return the first
            // leaf.
            return art_node_init_iterator(ref, iterator, true);
        }
        // Prefix is equal, move to lower bound child.
        art_key_chunk_t key_chunk =
            key[iterator->depth + inner_node->prefix_size];
        art_indexed_child_t indexed_child = art_node_lower_bound(
            (art_node_t *)inner_node, art_ref_typecode(ref), key_chunk);
        if (indexed_child.child == CROARING_ART_NULL_REF) {
            // Only smaller keys among children.
            return art_iterator_up_and_move(iterator, true);
        }
        if (indexed_child.key_chunk > key_chunk) {
            // Only larger children, return the first larger child.
            art_iterator_down(iterator, ref, indexed_child.index);
            return art_node_init_iterator(indexed_child.child, iterator, true);
        }
        // We found a child with an equal prefix.
        art_iterator_down(iterator, ref, indexed_child.index);
        ref = indexed_child.child;
    }
    art_leaf_t *leaf = (art_leaf_t *)art_deref(iterator->art, ref);
    if (art_compare_keys(leaf->key, key) >= 0) {
        // Leaf has an equal or larger key.
        return art_iterator_valid_loc(iterator, ref);
    }
    // Leaf has an equal prefix, but the full key is smaller. Move to the
    // next leaf.
    return art_iterator_up_and_move(iterator, true);
}

art_iterator_t art_init_iterator(art_t *art, bool first) {
    art_iterator_t iterator = CROARING_ZERO_INITIALIZER;
    iterator.art = art;
    if (art->root == CROARING_ART_NULL_REF) {
        return iterator;
    }
    art_node_init_iterator(art->root, &iterator, first);
    return iterator;
}

bool art_iterator_next(art_iterator_t *iterator) {
    return art_iterator_move(iterator, true);
}

bool art_iterator_prev(art_iterator_t *iterator) {
    return art_iterator_move(iterator, false);
}

bool art_iterator_lower_bound(art_iterator_t *iterator,
                              const art_key_chunk_t *key) {
    if (iterator->value == NULL) {
        // We're beyond the end / start of the ART so the iterator does not
        // have a valid key. Start from the root.
        iterator->frame = 0;
        iterator->depth = 0;
        art_ref_t root = art_iterator_ref(iterator);
        if (root == CROARING_ART_NULL_REF) {
            return false;
        }
        return art_node_iterator_lower_bound(root, iterator, key);
    }
    int compare_result =
        art_compare_prefix(iterator->key, 0, key, 0, ART_KEY_BYTES);
    // Move up until we have an equal prefix, after which we can do a normal
    // lower bound search.
    while (compare_result != 0) {
        if (!art_iterator_up(iterator)) {
            if (compare_result < 0) {
                // Only smaller keys found.
                return art_iterator_invalid_loc(iterator);
            } else {
                return art_node_init_iterator(art_iterator_ref(iterator),
                                              iterator, true);
            }
        }
        // Since we're only moving up, we can keep comparing against the
        // iterator key.
        art_inner_node_t *inner_node =
            (art_inner_node_t *)art_iterator_node(iterator);
        compare_result =
            art_compare_prefix(iterator->key, 0, key, 0,
                               iterator->depth + inner_node->prefix_size);
    }
    if (compare_result > 0) {
        return art_node_init_iterator(art_iterator_ref(iterator), iterator,
                                      true);
    }
    return art_node_iterator_lower_bound(art_iterator_ref(iterator), iterator,
                                         key);
}

art_iterator_t art_lower_bound(art_t *art, const art_key_chunk_t *key) {
    art_iterator_t iterator = CROARING_ZERO_INITIALIZER;
    iterator.art = art;
    if (art->root != CROARING_ART_NULL_REF) {
        art_node_iterator_lower_bound(art->root, &iterator, key);
    }
    return iterator;
}

art_iterator_t art_upper_bound(art_t *art, const art_key_chunk_t *key) {
    art_iterator_t iterator = CROARING_ZERO_INITIALIZER;
    iterator.art = art;
    if (art->root != CROARING_ART_NULL_REF) {
        if (art_node_iterator_lower_bound(art->root, &iterator, key) &&
            art_compare_keys(iterator.key, key) == 0) {
            art_iterator_next(&iterator);
        }
    }
    return iterator;
}

void art_iterator_insert(art_iterator_t *iterator, const art_key_chunk_t *key,
                         art_val_t val) {
    // TODO: This can likely be faster.
    art_insert(iterator->art, key, val);
    assert(iterator->art->root != CROARING_ART_NULL_REF);
    iterator->frame = 0;
    iterator->depth = 0;
    art_node_iterator_lower_bound(iterator->art->root, iterator, key);
}

bool art_iterator_erase(art_iterator_t *iterator, art_val_t *erased_val) {
    art_val_t erased_val_local;
    if (erased_val == NULL) {
        erased_val = &erased_val_local;
    }
    if (iterator->value == NULL) {
        return false;
    }
    art_key_chunk_t initial_key[ART_KEY_BYTES];
    memcpy(initial_key, iterator->key, ART_KEY_BYTES);

    *erased_val = *iterator->value;
    // Erase the leaf.
    art_node_free(iterator->art, art_iterator_node(iterator),
                  art_ref_typecode(art_iterator_ref(iterator)));
    bool went_up = art_iterator_up(iterator);
    if (!went_up) {
        // We're erasing the root.
        iterator->art->root = CROARING_ART_NULL_REF;
        art_iterator_invalid_loc(iterator);
        return true;
    }

    // Erase the leaf in its parent.
    art_ref_t parent_ref = art_iterator_ref(iterator);
    art_inner_node_t *parent_node =
        (art_inner_node_t *)art_iterator_node(iterator);
    art_key_chunk_t key_chunk_in_parent =
        iterator->key[iterator->depth + parent_node->prefix_size];
    art_ref_t new_parent_ref =
        art_node_erase(iterator->art, parent_node, art_ref_typecode(parent_ref),
                       key_chunk_in_parent);

    if (new_parent_ref != parent_ref) {
        // Replace the pointer to the inner node we erased from in its
        // parent (it may be a leaf now).
        iterator->frames[iterator->frame].ref = new_parent_ref;
        went_up = art_iterator_up(iterator);
        if (went_up) {
            art_ref_t grandparent_ref = art_iterator_ref(iterator);
            art_inner_node_t *grandparent_node =
                (art_inner_node_t *)art_iterator_node(iterator);
            art_key_chunk_t key_chunk_in_grandparent =
                iterator->key[iterator->depth + grandparent_node->prefix_size];
            art_replace(grandparent_node, art_ref_typecode(grandparent_ref),
                        key_chunk_in_grandparent, new_parent_ref);
        } else {
            // We were already at the rootmost node.
            iterator->art->root = new_parent_ref;
        }
    }

    iterator->frame = 0;
    iterator->depth = 0;
    // Do a lower bound search for the initial key, which will find the
    // first greater key if it exists. This can likely be mildly faster if
    // we instead start from the current position.
    art_node_iterator_lower_bound(iterator->art->root, iterator, initial_key);
    return true;
}

static bool art_internal_validate_at(const art_t *art, art_ref_t ref,
                                     art_internal_validate_t validator) {
    if (ref == CROARING_ART_NULL_REF) {
        return art_validate_fail(&validator, "node is null");
    }
    if (art_is_leaf(ref)) {
        art_leaf_t *leaf = (art_leaf_t *)art_deref(art, ref);
        if (art_compare_prefix(leaf->key, 0, validator.current_key, 0,
                               validator.depth) != 0) {
            return art_validate_fail(&validator,
                                     "leaf key does not match its "
                                     "position's prefix in the tree");
        }
        if (validator.validate_cb != NULL &&
            !validator.validate_cb(leaf->val, validator.reason,
                                   validator.context)) {
            if (*validator.reason == NULL) {
                *validator.reason = "leaf validation failed";
            }
            return false;
        }
    } else {
        art_inner_node_t *inner_node = (art_inner_node_t *)art_deref(art, ref);

        if (validator.depth + inner_node->prefix_size + 1 > ART_KEY_BYTES) {
            return art_validate_fail(&validator,
                                     "node has too much prefix at given depth");
        }
        memcpy(validator.current_key + validator.depth, inner_node->prefix,
               inner_node->prefix_size);
        validator.depth += inner_node->prefix_size;

        switch (art_ref_typecode(ref)) {
            case CROARING_ART_NODE4_TYPE:
                if (!art_node4_internal_validate(art, (art_node4_t *)inner_node,
                                                 validator)) {
                    return false;
                }
                break;
            case CROARING_ART_NODE16_TYPE:
                if (!art_node16_internal_validate(
                        art, (art_node16_t *)inner_node, validator)) {
                    return false;
                }
                break;
            case CROARING_ART_NODE48_TYPE:
                if (!art_node48_internal_validate(
                        art, (art_node48_t *)inner_node, validator)) {
                    return false;
                }
                break;
            case CROARING_ART_NODE256_TYPE:
                if (!art_node256_internal_validate(
                        art, (art_node256_t *)inner_node, validator)) {
                    return false;
                }
                break;
            default:
                return art_validate_fail(&validator, "invalid node type");
        }
    }
    return true;
}

bool art_internal_validate(const art_t *art, const char **reason,
                           art_validate_cb_t validate_cb, void *context) {
    const char *reason_local;
    if (reason == NULL) {
        // Always allow assigning through *reason
        reason = &reason_local;
    }
    *reason = NULL;
    if (art->root == CROARING_ART_NULL_REF) {
        return true;
    }
    art_internal_validate_t validator = {
        .reason = reason,
        .validate_cb = validate_cb,
        .context = context,
        .depth = 0,
        .current_key = CROARING_ZERO_INITIALIZER,
    };
    for (art_typecode_t type = CROARING_ART_LEAF_TYPE;
         type <= CROARING_ART_NODE256_TYPE; ++type) {
        uint64_t capacity = art->capacities[type];
        for (uint64_t i = 0; i < capacity; ++i) {
            uint64_t first_free = art->first_free[type];
            if (first_free > capacity) {
                return art_validate_fail(&validator, "first_free > capacity");
            }
        }
    }
    return art_internal_validate_at(art, art->root, validator);
}

CROARING_STATIC_ASSERT(alignof(art_leaf_t) == alignof(art_node4_t),
                       "Serialization assumes node type alignment is equal");
CROARING_STATIC_ASSERT(alignof(art_leaf_t) == alignof(art_node16_t),
                       "Serialization assumes node type alignment is equal");
CROARING_STATIC_ASSERT(alignof(art_leaf_t) == alignof(art_node48_t),
                       "Serialization assumes node type alignment is equal");
CROARING_STATIC_ASSERT(alignof(art_leaf_t) == alignof(art_node256_t),
                       "Serialization assumes node type alignment is equal");

size_t art_size_in_bytes(const art_t *art) {
    if (!art_is_shrunken(art)) {
        return 0;
    }
    // Root.
    size_t size = sizeof(art->root);
    // Node counts.
    size += sizeof(art->capacities);
    // Alignment for leaves. The rest of the nodes are aligned the same way.
    size +=
        ((size + alignof(art_leaf_t) - 1) & ~(alignof(art_leaf_t) - 1)) - size;
    for (art_typecode_t t = CROARING_ART_MIN_TYPE; t <= CROARING_ART_MAX_TYPE;
         ++t) {
        size += art->capacities[t] * ART_NODE_SIZES[t];
    }
    return size;
}

size_t art_serialize(const art_t *art, char *buf) {
    if (buf == NULL) {
        return 0;
    }
    if (!art_is_shrunken(art)) {
        return 0;
    }
    const char *initial_buf = buf;

    // Root.
    memcpy(buf, &art->root, sizeof(art->root));
    buf += sizeof(art->root);

    // Node counts.
    memcpy(buf, art->capacities, sizeof(art->capacities));
    buf += sizeof(art->capacities);

    // Alignment for leaves. The rest of the nodes are aligned the same way.
    size_t align_bytes =
        CROARING_ART_ALIGN_SIZE_RELATIVE(buf, initial_buf, alignof(art_leaf_t));
    memset(buf, 0, align_bytes);
    buf += align_bytes;

    for (art_typecode_t t = CROARING_ART_MIN_TYPE; t <= CROARING_ART_MAX_TYPE;
         ++t) {
        if (art->capacities[t] > 0) {
            size_t size = art->capacities[t] * ART_NODE_SIZES[t];
            memcpy(buf, art->nodes[t], size);
            buf += size;
        }
    }

    return buf - initial_buf;
}

size_t art_frozen_view(const char *buf, size_t maxbytes, art_t *art) {
    if (buf == NULL || art == NULL) {
        return 0;
    }
    const char *initial_buf = buf;
    art_init_cleared(art);

    if (maxbytes < sizeof(art->root)) {
        return 0;
    }
    memcpy(&art->root, buf, sizeof(art->root));
    buf += sizeof(art->root);
    maxbytes -= sizeof(art->root);

    if (maxbytes < sizeof(art->capacities)) {
        return 0;
    }
    CROARING_STATIC_ASSERT(sizeof(art->first_free) == sizeof(art->capacities),
                           "first_free is read from capacities");
    memcpy(art->first_free, buf, sizeof(art->capacities));
    memcpy(art->capacities, buf, sizeof(art->capacities));
    buf += sizeof(art->capacities);
    maxbytes -= sizeof(art->capacities);

    // Alignment for leaves. The rest of the nodes are aligned the same way.
    const char *before_align = buf;
    buf = CROARING_ART_ALIGN_BUF(buf, alignof(art_leaf_t));
    if (maxbytes < (size_t)(buf - before_align)) {
        return 0;
    }
    maxbytes -= buf - before_align;

    for (art_typecode_t t = CROARING_ART_MIN_TYPE; t <= CROARING_ART_MAX_TYPE;
         ++t) {
        if (art->capacities[t] > 0) {
            size_t size = art->capacities[t] * ART_NODE_SIZES[t];
            if (maxbytes < size) {
                return 0;
            }
            art->nodes[t] = (char *)buf;
            buf += size;
            maxbytes -= size;
        }
    }
    return buf - initial_buf;
}

#ifdef __cplusplus
}  // extern "C"
}  // namespace roaring
}  // namespace internal
#endif
/* end file src/art/art.c */
/* begin file src/bitset_util.c */
#include <assert.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>


#if CROARING_IS_X64
#ifndef CROARING_COMPILER_SUPPORTS_AVX512
#error "CROARING_COMPILER_SUPPORTS_AVX512 needs to be defined."
#endif  // CROARING_COMPILER_SUPPORTS_AVX512
#endif
#if defined(__GNUC__) && !defined(__clang__)
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wuninitialized"
#pragma GCC diagnostic ignored "-Wmaybe-uninitialized"
#endif
#ifdef __cplusplus
using namespace ::roaring::internal;
extern "C" {
namespace roaring {
namespace api {
#endif

#if CROARING_IS_X64
static uint8_t lengthTable[256] = {
    0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4, 1, 2, 2, 3, 2, 3, 3, 4,
    2, 3, 3, 4, 3, 4, 4, 5, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
    2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 1, 2, 2, 3, 2, 3, 3, 4,
    2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
    2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6,
    4, 5, 5, 6, 5, 6, 6, 7, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
    2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 3, 3, 4, 3, 4, 4, 5,
    3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
    2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6,
    4, 5, 5, 6, 5, 6, 6, 7, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
    4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8};
#endif

#if CROARING_IS_X64
ALIGNED(32)
static uint32_t vecDecodeTable[256][8] = {
    {0, 0, 0, 0, 0, 0, 0, 0}, /* 0x00 (00000000) */
    {1, 0, 0, 0, 0, 0, 0, 0}, /* 0x01 (00000001) */
    {2, 0, 0, 0, 0, 0, 0, 0}, /* 0x02 (00000010) */
    {1, 2, 0, 0, 0, 0, 0, 0}, /* 0x03 (00000011) */
    {3, 0, 0, 0, 0, 0, 0, 0}, /* 0x04 (00000100) */
    {1, 3, 0, 0, 0, 0, 0, 0}, /* 0x05 (00000101) */
    {2, 3, 0, 0, 0, 0, 0, 0}, /* 0x06 (00000110) */
    {1, 2, 3, 0, 0, 0, 0, 0}, /* 0x07 (00000111) */
    {4, 0, 0, 0, 0, 0, 0, 0}, /* 0x08 (00001000) */
    {1, 4, 0, 0, 0, 0, 0, 0}, /* 0x09 (00001001) */
    {2, 4, 0, 0, 0, 0, 0, 0}, /* 0x0A (00001010) */
    {1, 2, 4, 0, 0, 0, 0, 0}, /* 0x0B (00001011) */
    {3, 4, 0, 0, 0, 0, 0, 0}, /* 0x0C (00001100) */
    {1, 3, 4, 0, 0, 0, 0, 0}, /* 0x0D (00001101) */
    {2, 3, 4, 0, 0, 0, 0, 0}, /* 0x0E (00001110) */
    {1, 2, 3, 4, 0, 0, 0, 0}, /* 0x0F (00001111) */
    {5, 0, 0, 0, 0, 0, 0, 0}, /* 0x10 (00010000) */
    {1, 5, 0, 0, 0, 0, 0, 0}, /* 0x11 (00010001) */
    {2, 5, 0, 0, 0, 0, 0, 0}, /* 0x12 (00010010) */
    {1, 2, 5, 0, 0, 0, 0, 0}, /* 0x13 (00010011) */
    {3, 5, 0, 0, 0, 0, 0, 0}, /* 0x14 (00010100) */
    {1, 3, 5, 0, 0, 0, 0, 0}, /* 0x15 (00010101) */
    {2, 3, 5, 0, 0, 0, 0, 0}, /* 0x16 (00010110) */
    {1, 2, 3, 5, 0, 0, 0, 0}, /* 0x17 (00010111) */
    {4, 5, 0, 0, 0, 0, 0, 0}, /* 0x18 (00011000) */
    {1, 4, 5, 0, 0, 0, 0, 0}, /* 0x19 (00011001) */
    {2, 4, 5, 0, 0, 0, 0, 0}, /* 0x1A (00011010) */
    {1, 2, 4, 5, 0, 0, 0, 0}, /* 0x1B (00011011) */
    {3, 4, 5, 0, 0, 0, 0, 0}, /* 0x1C (00011100) */
    {1, 3, 4, 5, 0, 0, 0, 0}, /* 0x1D (00011101) */
    {2, 3, 4, 5, 0, 0, 0, 0}, /* 0x1E (00011110) */
    {1, 2, 3, 4, 5, 0, 0, 0}, /* 0x1F (00011111) */
    {6, 0, 0, 0, 0, 0, 0, 0}, /* 0x20 (00100000) */
    {1, 6, 0, 0, 0, 0, 0, 0}, /* 0x21 (00100001) */
    {2, 6, 0, 0, 0, 0, 0, 0}, /* 0x22 (00100010) */
    {1, 2, 6, 0, 0, 0, 0, 0}, /* 0x23 (00100011) */
    {3, 6, 0, 0, 0, 0, 0, 0}, /* 0x24 (00100100) */
    {1, 3, 6, 0, 0, 0, 0, 0}, /* 0x25 (00100101) */
    {2, 3, 6, 0, 0, 0, 0, 0}, /* 0x26 (00100110) */
    {1, 2, 3, 6, 0, 0, 0, 0}, /* 0x27 (00100111) */
    {4, 6, 0, 0, 0, 0, 0, 0}, /* 0x28 (00101000) */
    {1, 4, 6, 0, 0, 0, 0, 0}, /* 0x29 (00101001) */
    {2, 4, 6, 0, 0, 0, 0, 0}, /* 0x2A (00101010) */
    {1, 2, 4, 6, 0, 0, 0, 0}, /* 0x2B (00101011) */
    {3, 4, 6, 0, 0, 0, 0, 0}, /* 0x2C (00101100) */
    {1, 3, 4, 6, 0, 0, 0, 0}, /* 0x2D (00101101) */
    {2, 3, 4, 6, 0, 0, 0, 0}, /* 0x2E (00101110) */
    {1, 2, 3, 4, 6, 0, 0, 0}, /* 0x2F (00101111) */
    {5, 6, 0, 0, 0, 0, 0, 0}, /* 0x30 (00110000) */
    {1, 5, 6, 0, 0, 0, 0, 0}, /* 0x31 (00110001) */
    {2, 5, 6, 0, 0, 0, 0, 0}, /* 0x32 (00110010) */
    {1, 2, 5, 6, 0, 0, 0, 0}, /* 0x33 (00110011) */
    {3, 5, 6, 0, 0, 0, 0, 0}, /* 0x34 (00110100) */
    {1, 3, 5, 6, 0, 0, 0, 0}, /* 0x35 (00110101) */
    {2, 3, 5, 6, 0, 0, 0, 0}, /* 0x36 (00110110) */
    {1, 2, 3, 5, 6, 0, 0, 0}, /* 0x37 (00110111) */
    {4, 5, 6, 0, 0, 0, 0, 0}, /* 0x38 (00111000) */
    {1, 4, 5, 6, 0, 0, 0, 0}, /* 0x39 (00111001) */
    {2, 4, 5, 6, 0, 0, 0, 0}, /* 0x3A (00111010) */
    {1, 2, 4, 5, 6, 0, 0, 0}, /* 0x3B (00111011) */
    {3, 4, 5, 6, 0, 0, 0, 0}, /* 0x3C (00111100) */
    {1, 3, 4, 5, 6, 0, 0, 0}, /* 0x3D (00111101) */
    {2, 3, 4, 5, 6, 0, 0, 0}, /* 0x3E (00111110) */
    {1, 2, 3, 4, 5, 6, 0, 0}, /* 0x3F (00111111) */
    {7, 0, 0, 0, 0, 0, 0, 0}, /* 0x40 (01000000) */
    {1, 7, 0, 0, 0, 0, 0, 0}, /* 0x41 (01000001) */
    {2, 7, 0, 0, 0, 0, 0, 0}, /* 0x42 (01000010) */
    {1, 2, 7, 0, 0, 0, 0, 0}, /* 0x43 (01000011) */
    {3, 7, 0, 0, 0, 0, 0, 0}, /* 0x44 (01000100) */
    {1, 3, 7, 0, 0, 0, 0, 0}, /* 0x45 (01000101) */
    {2, 3, 7, 0, 0, 0, 0, 0}, /* 0x46 (01000110) */
    {1, 2, 3, 7, 0, 0, 0, 0}, /* 0x47 (01000111) */
    {4, 7, 0, 0, 0, 0, 0, 0}, /* 0x48 (01001000) */
    {1, 4, 7, 0, 0, 0, 0, 0}, /* 0x49 (01001001) */
    {2, 4, 7, 0, 0, 0, 0, 0}, /* 0x4A (01001010) */
    {1, 2, 4, 7, 0, 0, 0, 0}, /* 0x4B (01001011) */
    {3, 4, 7, 0, 0, 0, 0, 0}, /* 0x4C (01001100) */
    {1, 3, 4, 7, 0, 0, 0, 0}, /* 0x4D (01001101) */
    {2, 3, 4, 7, 0, 0, 0, 0}, /* 0x4E (01001110) */
    {1, 2, 3, 4, 7, 0, 0, 0}, /* 0x4F (01001111) */
    {5, 7, 0, 0, 0, 0, 0, 0}, /* 0x50 (01010000) */
    {1, 5, 7, 0, 0, 0, 0, 0}, /* 0x51 (01010001) */
    {2, 5, 7, 0, 0, 0, 0, 0}, /* 0x52 (01010010) */
    {1, 2, 5, 7, 0, 0, 0, 0}, /* 0x53 (01010011) */
    {3, 5, 7, 0, 0, 0, 0, 0}, /* 0x54 (01010100) */
    {1, 3, 5, 7, 0, 0, 0, 0}, /* 0x55 (01010101) */
    {2, 3, 5, 7, 0, 0, 0, 0}, /* 0x56 (01010110) */
    {1, 2, 3, 5, 7, 0, 0, 0}, /* 0x57 (01010111) */
    {4, 5, 7, 0, 0, 0, 0, 0}, /* 0x58 (01011000) */
    {1, 4, 5, 7, 0, 0, 0, 0}, /* 0x59 (01011001) */
    {2, 4, 5, 7, 0, 0, 0, 0}, /* 0x5A (01011010) */
    {1, 2, 4, 5, 7, 0, 0, 0}, /* 0x5B (01011011) */
    {3, 4, 5, 7, 0, 0, 0, 0}, /* 0x5C (01011100) */
    {1, 3, 4, 5, 7, 0, 0, 0}, /* 0x5D (01011101) */
    {2, 3, 4, 5, 7, 0, 0, 0}, /* 0x5E (01011110) */
    {1, 2, 3, 4, 5, 7, 0, 0}, /* 0x5F (01011111) */
    {6, 7, 0, 0, 0, 0, 0, 0}, /* 0x60 (01100000) */
    {1, 6, 7, 0, 0, 0, 0, 0}, /* 0x61 (01100001) */
    {2, 6, 7, 0, 0, 0, 0, 0}, /* 0x62 (01100010) */
    {1, 2, 6, 7, 0, 0, 0, 0}, /* 0x63 (01100011) */
    {3, 6, 7, 0, 0, 0, 0, 0}, /* 0x64 (01100100) */
    {1, 3, 6, 7, 0, 0, 0, 0}, /* 0x65 (01100101) */
    {2, 3, 6, 7, 0, 0, 0, 0}, /* 0x66 (01100110) */
    {1, 2, 3, 6, 7, 0, 0, 0}, /* 0x67 (01100111) */
    {4, 6, 7, 0, 0, 0, 0, 0}, /* 0x68 (01101000) */
    {1, 4, 6, 7, 0, 0, 0, 0}, /* 0x69 (01101001) */
    {2, 4, 6, 7, 0, 0, 0, 0}, /* 0x6A (01101010) */
    {1, 2, 4, 6, 7, 0, 0, 0}, /* 0x6B (01101011) */
    {3, 4, 6, 7, 0, 0, 0, 0}, /* 0x6C (01101100) */
    {1, 3, 4, 6, 7, 0, 0, 0}, /* 0x6D (01101101) */
    {2, 3, 4, 6, 7, 0, 0, 0}, /* 0x6E (01101110) */
    {1, 2, 3, 4, 6, 7, 0, 0}, /* 0x6F (01101111) */
    {5, 6, 7, 0, 0, 0, 0, 0}, /* 0x70 (01110000) */
    {1, 5, 6, 7, 0, 0, 0, 0}, /* 0x71 (01110001) */
    {2, 5, 6, 7, 0, 0, 0, 0}, /* 0x72 (01110010) */
    {1, 2, 5, 6, 7, 0, 0, 0}, /* 0x73 (01110011) */
    {3, 5, 6, 7, 0, 0, 0, 0}, /* 0x74 (01110100) */
    {1, 3, 5, 6, 7, 0, 0, 0}, /* 0x75 (01110101) */
    {2, 3, 5, 6, 7, 0, 0, 0}, /* 0x76 (01110110) */
    {1, 2, 3, 5, 6, 7, 0, 0}, /* 0x77 (01110111) */
    {4, 5, 6, 7, 0, 0, 0, 0}, /* 0x78 (01111000) */
    {1, 4, 5, 6, 7, 0, 0, 0}, /* 0x79 (01111001) */
    {2, 4, 5, 6, 7, 0, 0, 0}, /* 0x7A (01111010) */
    {1, 2, 4, 5, 6, 7, 0, 0}, /* 0x7B (01111011) */
    {3, 4, 5, 6, 7, 0, 0, 0}, /* 0x7C (01111100) */
    {1, 3, 4, 5, 6, 7, 0, 0}, /* 0x7D (01111101) */
    {2, 3, 4, 5, 6, 7, 0, 0}, /* 0x7E (01111110) */
    {1, 2, 3, 4, 5, 6, 7, 0}, /* 0x7F (01111111) */
    {8, 0, 0, 0, 0, 0, 0, 0}, /* 0x80 (10000000) */
    {1, 8, 0, 0, 0, 0, 0, 0}, /* 0x81 (10000001) */
    {2, 8, 0, 0, 0, 0, 0, 0}, /* 0x82 (10000010) */
    {1, 2, 8, 0, 0, 0, 0, 0}, /* 0x83 (10000011) */
    {3, 8, 0, 0, 0, 0, 0, 0}, /* 0x84 (10000100) */
    {1, 3, 8, 0, 0, 0, 0, 0}, /* 0x85 (10000101) */
    {2, 3, 8, 0, 0, 0, 0, 0}, /* 0x86 (10000110) */
    {1, 2, 3, 8, 0, 0, 0, 0}, /* 0x87 (10000111) */
    {4, 8, 0, 0, 0, 0, 0, 0}, /* 0x88 (10001000) */
    {1, 4, 8, 0, 0, 0, 0, 0}, /* 0x89 (10001001) */
    {2, 4, 8, 0, 0, 0, 0, 0}, /* 0x8A (10001010) */
    {1, 2, 4, 8, 0, 0, 0, 0}, /* 0x8B (10001011) */
    {3, 4, 8, 0, 0, 0, 0, 0}, /* 0x8C (10001100) */
    {1, 3, 4, 8, 0, 0, 0, 0}, /* 0x8D (10001101) */
    {2, 3, 4, 8, 0, 0, 0, 0}, /* 0x8E (10001110) */
    {1, 2, 3, 4, 8, 0, 0, 0}, /* 0x8F (10001111) */
    {5, 8, 0, 0, 0, 0, 0, 0}, /* 0x90 (10010000) */
    {1, 5, 8, 0, 0, 0, 0, 0}, /* 0x91 (10010001) */
    {2, 5, 8, 0, 0, 0, 0, 0}, /* 0x92 (10010010) */
    {1, 2, 5, 8, 0, 0, 0, 0}, /* 0x93 (10010011) */
    {3, 5, 8, 0, 0, 0, 0, 0}, /* 0x94 (10010100) */
    {1, 3, 5, 8, 0, 0, 0, 0}, /* 0x95 (10010101) */
    {2, 3, 5, 8, 0, 0, 0, 0}, /* 0x96 (10010110) */
    {1, 2, 3, 5, 8, 0, 0, 0}, /* 0x97 (10010111) */
    {4, 5, 8, 0, 0, 0, 0, 0}, /* 0x98 (10011000) */
    {1, 4, 5, 8, 0, 0, 0, 0}, /* 0x99 (10011001) */
    {2, 4, 5, 8, 0, 0, 0, 0}, /* 0x9A (10011010) */
    {1, 2, 4, 5, 8, 0, 0, 0}, /* 0x9B (10011011) */
    {3, 4, 5, 8, 0, 0, 0, 0}, /* 0x9C (10011100) */
    {1, 3, 4, 5, 8, 0, 0, 0}, /* 0x9D (10011101) */
    {2, 3, 4, 5, 8, 0, 0, 0}, /* 0x9E (10011110) */
    {1, 2, 3, 4, 5, 8, 0, 0}, /* 0x9F (10011111) */
    {6, 8, 0, 0, 0, 0, 0, 0}, /* 0xA0 (10100000) */
    {1, 6, 8, 0, 0, 0, 0, 0}, /* 0xA1 (10100001) */
    {2, 6, 8, 0, 0, 0, 0, 0}, /* 0xA2 (10100010) */
    {1, 2, 6, 8, 0, 0, 0, 0}, /* 0xA3 (10100011) */
    {3, 6, 8, 0, 0, 0, 0, 0}, /* 0xA4 (10100100) */
    {1, 3, 6, 8, 0, 0, 0, 0}, /* 0xA5 (10100101) */
    {2, 3, 6, 8, 0, 0, 0, 0}, /* 0xA6 (10100110) */
    {1, 2, 3, 6, 8, 0, 0, 0}, /* 0xA7 (10100111) */
    {4, 6, 8, 0, 0, 0, 0, 0}, /* 0xA8 (10101000) */
    {1, 4, 6, 8, 0, 0, 0, 0}, /* 0xA9 (10101001) */
    {2, 4, 6, 8, 0, 0, 0, 0}, /* 0xAA (10101010) */
    {1, 2, 4, 6, 8, 0, 0, 0}, /* 0xAB (10101011) */
    {3, 4, 6, 8, 0, 0, 0, 0}, /* 0xAC (10101100) */
    {1, 3, 4, 6, 8, 0, 0, 0}, /* 0xAD (10101101) */
    {2, 3, 4, 6, 8, 0, 0, 0}, /* 0xAE (10101110) */
    {1, 2, 3, 4, 6, 8, 0, 0}, /* 0xAF (10101111) */
    {5, 6, 8, 0, 0, 0, 0, 0}, /* 0xB0 (10110000) */
    {1, 5, 6, 8, 0, 0, 0, 0}, /* 0xB1 (10110001) */
    {2, 5, 6, 8, 0, 0, 0, 0}, /* 0xB2 (10110010) */
    {1, 2, 5, 6, 8, 0, 0, 0}, /* 0xB3 (10110011) */
    {3, 5, 6, 8, 0, 0, 0, 0}, /* 0xB4 (10110100) */
    {1, 3, 5, 6, 8, 0, 0, 0}, /* 0xB5 (10110101) */
    {2, 3, 5, 6, 8, 0, 0, 0}, /* 0xB6 (10110110) */
    {1, 2, 3, 5, 6, 8, 0, 0}, /* 0xB7 (10110111) */
    {4, 5, 6, 8, 0, 0, 0, 0}, /* 0xB8 (10111000) */
    {1, 4, 5, 6, 8, 0, 0, 0}, /* 0xB9 (10111001) */
    {2, 4, 5, 6, 8, 0, 0, 0}, /* 0xBA (10111010) */
    {1, 2, 4, 5, 6, 8, 0, 0}, /* 0xBB (10111011) */
    {3, 4, 5, 6, 8, 0, 0, 0}, /* 0xBC (10111100) */
    {1, 3, 4, 5, 6, 8, 0, 0}, /* 0xBD (10111101) */
    {2, 3, 4, 5, 6, 8, 0, 0}, /* 0xBE (10111110) */
    {1, 2, 3, 4, 5, 6, 8, 0}, /* 0xBF (10111111) */
    {7, 8, 0, 0, 0, 0, 0, 0}, /* 0xC0 (11000000) */
    {1, 7, 8, 0, 0, 0, 0, 0}, /* 0xC1 (11000001) */
    {2, 7, 8, 0, 0, 0, 0, 0}, /* 0xC2 (11000010) */
    {1, 2, 7, 8, 0, 0, 0, 0}, /* 0xC3 (11000011) */
    {3, 7, 8, 0, 0, 0, 0, 0}, /* 0xC4 (11000100) */
    {1, 3, 7, 8, 0, 0, 0, 0}, /* 0xC5 (11000101) */
    {2, 3, 7, 8, 0, 0, 0, 0}, /* 0xC6 (11000110) */
    {1, 2, 3, 7, 8, 0, 0, 0}, /* 0xC7 (11000111) */
    {4, 7, 8, 0, 0, 0, 0, 0}, /* 0xC8 (11001000) */
    {1, 4, 7, 8, 0, 0, 0, 0}, /* 0xC9 (11001001) */
    {2, 4, 7, 8, 0, 0, 0, 0}, /* 0xCA (11001010) */
    {1, 2, 4, 7, 8, 0, 0, 0}, /* 0xCB (11001011) */
    {3, 4, 7, 8, 0, 0, 0, 0}, /* 0xCC (11001100) */
    {1, 3, 4, 7, 8, 0, 0, 0}, /* 0xCD (11001101) */
    {2, 3, 4, 7, 8, 0, 0, 0}, /* 0xCE (11001110) */
    {1, 2, 3, 4, 7, 8, 0, 0}, /* 0xCF (11001111) */
    {5, 7, 8, 0, 0, 0, 0, 0}, /* 0xD0 (11010000) */
    {1, 5, 7, 8, 0, 0, 0, 0}, /* 0xD1 (11010001) */
    {2, 5, 7, 8, 0, 0, 0, 0}, /* 0xD2 (11010010) */
    {1, 2, 5, 7, 8, 0, 0, 0}, /* 0xD3 (11010011) */
    {3, 5, 7, 8, 0, 0, 0, 0}, /* 0xD4 (11010100) */
    {1, 3, 5, 7, 8, 0, 0, 0}, /* 0xD5 (11010101) */
    {2, 3, 5, 7, 8, 0, 0, 0}, /* 0xD6 (11010110) */
    {1, 2, 3, 5, 7, 8, 0, 0}, /* 0xD7 (11010111) */
    {4, 5, 7, 8, 0, 0, 0, 0}, /* 0xD8 (11011000) */
    {1, 4, 5, 7, 8, 0, 0, 0}, /* 0xD9 (11011001) */
    {2, 4, 5, 7, 8, 0, 0, 0}, /* 0xDA (11011010) */
    {1, 2, 4, 5, 7, 8, 0, 0}, /* 0xDB (11011011) */
    {3, 4, 5, 7, 8, 0, 0, 0}, /* 0xDC (11011100) */
    {1, 3, 4, 5, 7, 8, 0, 0}, /* 0xDD (11011101) */
    {2, 3, 4, 5, 7, 8, 0, 0}, /* 0xDE (11011110) */
    {1, 2, 3, 4, 5, 7, 8, 0}, /* 0xDF (11011111) */
    {6, 7, 8, 0, 0, 0, 0, 0}, /* 0xE0 (11100000) */
    {1, 6, 7, 8, 0, 0, 0, 0}, /* 0xE1 (11100001) */
    {2, 6, 7, 8, 0, 0, 0, 0}, /* 0xE2 (11100010) */
    {1, 2, 6, 7, 8, 0, 0, 0}, /* 0xE3 (11100011) */
    {3, 6, 7, 8, 0, 0, 0, 0}, /* 0xE4 (11100100) */
    {1, 3, 6, 7, 8, 0, 0, 0}, /* 0xE5 (11100101) */
    {2, 3, 6, 7, 8, 0, 0, 0}, /* 0xE6 (11100110) */
    {1, 2, 3, 6, 7, 8, 0, 0}, /* 0xE7 (11100111) */
    {4, 6, 7, 8, 0, 0, 0, 0}, /* 0xE8 (11101000) */
    {1, 4, 6, 7, 8, 0, 0, 0}, /* 0xE9 (11101001) */
    {2, 4, 6, 7, 8, 0, 0, 0}, /* 0xEA (11101010) */
    {1, 2, 4, 6, 7, 8, 0, 0}, /* 0xEB (11101011) */
    {3, 4, 6, 7, 8, 0, 0, 0}, /* 0xEC (11101100) */
    {1, 3, 4, 6, 7, 8, 0, 0}, /* 0xED (11101101) */
    {2, 3, 4, 6, 7, 8, 0, 0}, /* 0xEE (11101110) */
    {1, 2, 3, 4, 6, 7, 8, 0}, /* 0xEF (11101111) */
    {5, 6, 7, 8, 0, 0, 0, 0}, /* 0xF0 (11110000) */
    {1, 5, 6, 7, 8, 0, 0, 0}, /* 0xF1 (11110001) */
    {2, 5, 6, 7, 8, 0, 0, 0}, /* 0xF2 (11110010) */
    {1, 2, 5, 6, 7, 8, 0, 0}, /* 0xF3 (11110011) */
    {3, 5, 6, 7, 8, 0, 0, 0}, /* 0xF4 (11110100) */
    {1, 3, 5, 6, 7, 8, 0, 0}, /* 0xF5 (11110101) */
    {2, 3, 5, 6, 7, 8, 0, 0}, /* 0xF6 (11110110) */
    {1, 2, 3, 5, 6, 7, 8, 0}, /* 0xF7 (11110111) */
    {4, 5, 6, 7, 8, 0, 0, 0}, /* 0xF8 (11111000) */
    {1, 4, 5, 6, 7, 8, 0, 0}, /* 0xF9 (11111001) */
    {2, 4, 5, 6, 7, 8, 0, 0}, /* 0xFA (11111010) */
    {1, 2, 4, 5, 6, 7, 8, 0}, /* 0xFB (11111011) */
    {3, 4, 5, 6, 7, 8, 0, 0}, /* 0xFC (11111100) */
    {1, 3, 4, 5, 6, 7, 8, 0}, /* 0xFD (11111101) */
    {2, 3, 4, 5, 6, 7, 8, 0}, /* 0xFE (11111110) */
    {1, 2, 3, 4, 5, 6, 7, 8}  /* 0xFF (11111111) */
};

#endif  // #if CROARING_IS_X64

#if CROARING_IS_X64
// same as vecDecodeTable but in 16 bits
ALIGNED(32)
static uint16_t vecDecodeTable_uint16[256][8] = {
    {0, 0, 0, 0, 0, 0, 0, 0}, /* 0x00 (00000000) */
    {1, 0, 0, 0, 0, 0, 0, 0}, /* 0x01 (00000001) */
    {2, 0, 0, 0, 0, 0, 0, 0}, /* 0x02 (00000010) */
    {1, 2, 0, 0, 0, 0, 0, 0}, /* 0x03 (00000011) */
    {3, 0, 0, 0, 0, 0, 0, 0}, /* 0x04 (00000100) */
    {1, 3, 0, 0, 0, 0, 0, 0}, /* 0x05 (00000101) */
    {2, 3, 0, 0, 0, 0, 0, 0}, /* 0x06 (00000110) */
    {1, 2, 3, 0, 0, 0, 0, 0}, /* 0x07 (00000111) */
    {4, 0, 0, 0, 0, 0, 0, 0}, /* 0x08 (00001000) */
    {1, 4, 0, 0, 0, 0, 0, 0}, /* 0x09 (00001001) */
    {2, 4, 0, 0, 0, 0, 0, 0}, /* 0x0A (00001010) */
    {1, 2, 4, 0, 0, 0, 0, 0}, /* 0x0B (00001011) */
    {3, 4, 0, 0, 0, 0, 0, 0}, /* 0x0C (00001100) */
    {1, 3, 4, 0, 0, 0, 0, 0}, /* 0x0D (00001101) */
    {2, 3, 4, 0, 0, 0, 0, 0}, /* 0x0E (00001110) */
    {1, 2, 3, 4, 0, 0, 0, 0}, /* 0x0F (00001111) */
    {5, 0, 0, 0, 0, 0, 0, 0}, /* 0x10 (00010000) */
    {1, 5, 0, 0, 0, 0, 0, 0}, /* 0x11 (00010001) */
    {2, 5, 0, 0, 0, 0, 0, 0}, /* 0x12 (00010010) */
    {1, 2, 5, 0, 0, 0, 0, 0}, /* 0x13 (00010011) */
    {3, 5, 0, 0, 0, 0, 0, 0}, /* 0x14 (00010100) */
    {1, 3, 5, 0, 0, 0, 0, 0}, /* 0x15 (00010101) */
    {2, 3, 5, 0, 0, 0, 0, 0}, /* 0x16 (00010110) */
    {1, 2, 3, 5, 0, 0, 0, 0}, /* 0x17 (00010111) */
    {4, 5, 0, 0, 0, 0, 0, 0}, /* 0x18 (00011000) */
    {1, 4, 5, 0, 0, 0, 0, 0}, /* 0x19 (00011001) */
    {2, 4, 5, 0, 0, 0, 0, 0}, /* 0x1A (00011010) */
    {1, 2, 4, 5, 0, 0, 0, 0}, /* 0x1B (00011011) */
    {3, 4, 5, 0, 0, 0, 0, 0}, /* 0x1C (00011100) */
    {1, 3, 4, 5, 0, 0, 0, 0}, /* 0x1D (00011101) */
    {2, 3, 4, 5, 0, 0, 0, 0}, /* 0x1E (00011110) */
    {1, 2, 3, 4, 5, 0, 0, 0}, /* 0x1F (00011111) */
    {6, 0, 0, 0, 0, 0, 0, 0}, /* 0x20 (00100000) */
    {1, 6, 0, 0, 0, 0, 0, 0}, /* 0x21 (00100001) */
    {2, 6, 0, 0, 0, 0, 0, 0}, /* 0x22 (00100010) */
    {1, 2, 6, 0, 0, 0, 0, 0}, /* 0x23 (00100011) */
    {3, 6, 0, 0, 0, 0, 0, 0}, /* 0x24 (00100100) */
    {1, 3, 6, 0, 0, 0, 0, 0}, /* 0x25 (00100101) */
    {2, 3, 6, 0, 0, 0, 0, 0}, /* 0x26 (00100110) */
    {1, 2, 3, 6, 0, 0, 0, 0}, /* 0x27 (00100111) */
    {4, 6, 0, 0, 0, 0, 0, 0}, /* 0x28 (00101000) */
    {1, 4, 6, 0, 0, 0, 0, 0}, /* 0x29 (00101001) */
    {2, 4, 6, 0, 0, 0, 0, 0}, /* 0x2A (00101010) */
    {1, 2, 4, 6, 0, 0, 0, 0}, /* 0x2B (00101011) */
    {3, 4, 6, 0, 0, 0, 0, 0}, /* 0x2C (00101100) */
    {1, 3, 4, 6, 0, 0, 0, 0}, /* 0x2D (00101101) */
    {2, 3, 4, 6, 0, 0, 0, 0}, /* 0x2E (00101110) */
    {1, 2, 3, 4, 6, 0, 0, 0}, /* 0x2F (00101111) */
    {5, 6, 0, 0, 0, 0, 0, 0}, /* 0x30 (00110000) */
    {1, 5, 6, 0, 0, 0, 0, 0}, /* 0x31 (00110001) */
    {2, 5, 6, 0, 0, 0, 0, 0}, /* 0x32 (00110010) */
    {1, 2, 5, 6, 0, 0, 0, 0}, /* 0x33 (00110011) */
    {3, 5, 6, 0, 0, 0, 0, 0}, /* 0x34 (00110100) */
    {1, 3, 5, 6, 0, 0, 0, 0}, /* 0x35 (00110101) */
    {2, 3, 5, 6, 0, 0, 0, 0}, /* 0x36 (00110110) */
    {1, 2, 3, 5, 6, 0, 0, 0}, /* 0x37 (00110111) */
    {4, 5, 6, 0, 0, 0, 0, 0}, /* 0x38 (00111000) */
    {1, 4, 5, 6, 0, 0, 0, 0}, /* 0x39 (00111001) */
    {2, 4, 5, 6, 0, 0, 0, 0}, /* 0x3A (00111010) */
    {1, 2, 4, 5, 6, 0, 0, 0}, /* 0x3B (00111011) */
    {3, 4, 5, 6, 0, 0, 0, 0}, /* 0x3C (00111100) */
    {1, 3, 4, 5, 6, 0, 0, 0}, /* 0x3D (00111101) */
    {2, 3, 4, 5, 6, 0, 0, 0}, /* 0x3E (00111110) */
    {1, 2, 3, 4, 5, 6, 0, 0}, /* 0x3F (00111111) */
    {7, 0, 0, 0, 0, 0, 0, 0}, /* 0x40 (01000000) */
    {1, 7, 0, 0, 0, 0, 0, 0}, /* 0x41 (01000001) */
    {2, 7, 0, 0, 0, 0, 0, 0}, /* 0x42 (01000010) */
    {1, 2, 7, 0, 0, 0, 0, 0}, /* 0x43 (01000011) */
    {3, 7, 0, 0, 0, 0, 0, 0}, /* 0x44 (01000100) */
    {1, 3, 7, 0, 0, 0, 0, 0}, /* 0x45 (01000101) */
    {2, 3, 7, 0, 0, 0, 0, 0}, /* 0x46 (01000110) */
    {1, 2, 3, 7, 0, 0, 0, 0}, /* 0x47 (01000111) */
    {4, 7, 0, 0, 0, 0, 0, 0}, /* 0x48 (01001000) */
    {1, 4, 7, 0, 0, 0, 0, 0}, /* 0x49 (01001001) */
    {2, 4, 7, 0, 0, 0, 0, 0}, /* 0x4A (01001010) */
    {1, 2, 4, 7, 0, 0, 0, 0}, /* 0x4B (01001011) */
    {3, 4, 7, 0, 0, 0, 0, 0}, /* 0x4C (01001100) */
    {1, 3, 4, 7, 0, 0, 0, 0}, /* 0x4D (01001101) */
    {2, 3, 4, 7, 0, 0, 0, 0}, /* 0x4E (01001110) */
    {1, 2, 3, 4, 7, 0, 0, 0}, /* 0x4F (01001111) */
    {5, 7, 0, 0, 0, 0, 0, 0}, /* 0x50 (01010000) */
    {1, 5, 7, 0, 0, 0, 0, 0}, /* 0x51 (01010001) */
    {2, 5, 7, 0, 0, 0, 0, 0}, /* 0x52 (01010010) */
    {1, 2, 5, 7, 0, 0, 0, 0}, /* 0x53 (01010011) */
    {3, 5, 7, 0, 0, 0, 0, 0}, /* 0x54 (01010100) */
    {1, 3, 5, 7, 0, 0, 0, 0}, /* 0x55 (01010101) */
    {2, 3, 5, 7, 0, 0, 0, 0}, /* 0x56 (01010110) */
    {1, 2, 3, 5, 7, 0, 0, 0}, /* 0x57 (01010111) */
    {4, 5, 7, 0, 0, 0, 0, 0}, /* 0x58 (01011000) */
    {1, 4, 5, 7, 0, 0, 0, 0}, /* 0x59 (01011001) */
    {2, 4, 5, 7, 0, 0, 0, 0}, /* 0x5A (01011010) */
    {1, 2, 4, 5, 7, 0, 0, 0}, /* 0x5B (01011011) */
    {3, 4, 5, 7, 0, 0, 0, 0}, /* 0x5C (01011100) */
    {1, 3, 4, 5, 7, 0, 0, 0}, /* 0x5D (01011101) */
    {2, 3, 4, 5, 7, 0, 0, 0}, /* 0x5E (01011110) */
    {1, 2, 3, 4, 5, 7, 0, 0}, /* 0x5F (01011111) */
    {6, 7, 0, 0, 0, 0, 0, 0}, /* 0x60 (01100000) */
    {1, 6, 7, 0, 0, 0, 0, 0}, /* 0x61 (01100001) */
    {2, 6, 7, 0, 0, 0, 0, 0}, /* 0x62 (01100010) */
    {1, 2, 6, 7, 0, 0, 0, 0}, /* 0x63 (01100011) */
    {3, 6, 7, 0, 0, 0, 0, 0}, /* 0x64 (01100100) */
    {1, 3, 6, 7, 0, 0, 0, 0}, /* 0x65 (01100101) */
    {2, 3, 6, 7, 0, 0, 0, 0}, /* 0x66 (01100110) */
    {1, 2, 3, 6, 7, 0, 0, 0}, /* 0x67 (01100111) */
    {4, 6, 7, 0, 0, 0, 0, 0}, /* 0x68 (01101000) */
    {1, 4, 6, 7, 0, 0, 0, 0}, /* 0x69 (01101001) */
    {2, 4, 6, 7, 0, 0, 0, 0}, /* 0x6A (01101010) */
    {1, 2, 4, 6, 7, 0, 0, 0}, /* 0x6B (01101011) */
    {3, 4, 6, 7, 0, 0, 0, 0}, /* 0x6C (01101100) */
    {1, 3, 4, 6, 7, 0, 0, 0}, /* 0x6D (01101101) */
    {2, 3, 4, 6, 7, 0, 0, 0}, /* 0x6E (01101110) */
    {1, 2, 3, 4, 6, 7, 0, 0}, /* 0x6F (01101111) */
    {5, 6, 7, 0, 0, 0, 0, 0}, /* 0x70 (01110000) */
    {1, 5, 6, 7, 0, 0, 0, 0}, /* 0x71 (01110001) */
    {2, 5, 6, 7, 0, 0, 0, 0}, /* 0x72 (01110010) */
    {1, 2, 5, 6, 7, 0, 0, 0}, /* 0x73 (01110011) */
    {3, 5, 6, 7, 0, 0, 0, 0}, /* 0x74 (01110100) */
    {1, 3, 5, 6, 7, 0, 0, 0}, /* 0x75 (01110101) */
    {2, 3, 5, 6, 7, 0, 0, 0}, /* 0x76 (01110110) */
    {1, 2, 3, 5, 6, 7, 0, 0}, /* 0x77 (01110111) */
    {4, 5, 6, 7, 0, 0, 0, 0}, /* 0x78 (01111000) */
    {1, 4, 5, 6, 7, 0, 0, 0}, /* 0x79 (01111001) */
    {2, 4, 5, 6, 7, 0, 0, 0}, /* 0x7A (01111010) */
    {1, 2, 4, 5, 6, 7, 0, 0}, /* 0x7B (01111011) */
    {3, 4, 5, 6, 7, 0, 0, 0}, /* 0x7C (01111100) */
    {1, 3, 4, 5, 6, 7, 0, 0}, /* 0x7D (01111101) */
    {2, 3, 4, 5, 6, 7, 0, 0}, /* 0x7E (01111110) */
    {1, 2, 3, 4, 5, 6, 7, 0}, /* 0x7F (01111111) */
    {8, 0, 0, 0, 0, 0, 0, 0}, /* 0x80 (10000000) */
    {1, 8, 0, 0, 0, 0, 0, 0}, /* 0x81 (10000001) */
    {2, 8, 0, 0, 0, 0, 0, 0}, /* 0x82 (10000010) */
    {1, 2, 8, 0, 0, 0, 0, 0}, /* 0x83 (10000011) */
    {3, 8, 0, 0, 0, 0, 0, 0}, /* 0x84 (10000100) */
    {1, 3, 8, 0, 0, 0, 0, 0}, /* 0x85 (10000101) */
    {2, 3, 8, 0, 0, 0, 0, 0}, /* 0x86 (10000110) */
    {1, 2, 3, 8, 0, 0, 0, 0}, /* 0x87 (10000111) */
    {4, 8, 0, 0, 0, 0, 0, 0}, /* 0x88 (10001000) */
    {1, 4, 8, 0, 0, 0, 0, 0}, /* 0x89 (10001001) */
    {2, 4, 8, 0, 0, 0, 0, 0}, /* 0x8A (10001010) */
    {1, 2, 4, 8, 0, 0, 0, 0}, /* 0x8B (10001011) */
    {3, 4, 8, 0, 0, 0, 0, 0}, /* 0x8C (10001100) */
    {1, 3, 4, 8, 0, 0, 0, 0}, /* 0x8D (10001101) */
    {2, 3, 4, 8, 0, 0, 0, 0}, /* 0x8E (10001110) */
    {1, 2, 3, 4, 8, 0, 0, 0}, /* 0x8F (10001111) */
    {5, 8, 0, 0, 0, 0, 0, 0}, /* 0x90 (10010000) */
    {1, 5, 8, 0, 0, 0, 0, 0}, /* 0x91 (10010001) */
    {2, 5, 8, 0, 0, 0, 0, 0}, /* 0x92 (10010010) */
    {1, 2, 5, 8, 0, 0, 0, 0}, /* 0x93 (10010011) */
    {3, 5, 8, 0, 0, 0, 0, 0}, /* 0x94 (10010100) */
    {1, 3, 5, 8, 0, 0, 0, 0}, /* 0x95 (10010101) */
    {2, 3, 5, 8, 0, 0, 0, 0}, /* 0x96 (10010110) */
    {1, 2, 3, 5, 8, 0, 0, 0}, /* 0x97 (10010111) */
    {4, 5, 8, 0, 0, 0, 0, 0}, /* 0x98 (10011000) */
    {1, 4, 5, 8, 0, 0, 0, 0}, /* 0x99 (10011001) */
    {2, 4, 5, 8, 0, 0, 0, 0}, /* 0x9A (10011010) */
    {1, 2, 4, 5, 8, 0, 0, 0}, /* 0x9B (10011011) */
    {3, 4, 5, 8, 0, 0, 0, 0}, /* 0x9C (10011100) */
    {1, 3, 4, 5, 8, 0, 0, 0}, /* 0x9D (10011101) */
    {2, 3, 4, 5, 8, 0, 0, 0}, /* 0x9E (10011110) */
    {1, 2, 3, 4, 5, 8, 0, 0}, /* 0x9F (10011111) */
    {6, 8, 0, 0, 0, 0, 0, 0}, /* 0xA0 (10100000) */
    {1, 6, 8, 0, 0, 0, 0, 0}, /* 0xA1 (10100001) */
    {2, 6, 8, 0, 0, 0, 0, 0}, /* 0xA2 (10100010) */
    {1, 2, 6, 8, 0, 0, 0, 0}, /* 0xA3 (10100011) */
    {3, 6, 8, 0, 0, 0, 0, 0}, /* 0xA4 (10100100) */
    {1, 3, 6, 8, 0, 0, 0, 0}, /* 0xA5 (10100101) */
    {2, 3, 6, 8, 0, 0, 0, 0}, /* 0xA6 (10100110) */
    {1, 2, 3, 6, 8, 0, 0, 0}, /* 0xA7 (10100111) */
    {4, 6, 8, 0, 0, 0, 0, 0}, /* 0xA8 (10101000) */
    {1, 4, 6, 8, 0, 0, 0, 0}, /* 0xA9 (10101001) */
    {2, 4, 6, 8, 0, 0, 0, 0}, /* 0xAA (10101010) */
    {1, 2, 4, 6, 8, 0, 0, 0}, /* 0xAB (10101011) */
    {3, 4, 6, 8, 0, 0, 0, 0}, /* 0xAC (10101100) */
    {1, 3, 4, 6, 8, 0, 0, 0}, /* 0xAD (10101101) */
    {2, 3, 4, 6, 8, 0, 0, 0}, /* 0xAE (10101110) */
    {1, 2, 3, 4, 6, 8, 0, 0}, /* 0xAF (10101111) */
    {5, 6, 8, 0, 0, 0, 0, 0}, /* 0xB0 (10110000) */
    {1, 5, 6, 8, 0, 0, 0, 0}, /* 0xB1 (10110001) */
    {2, 5, 6, 8, 0, 0, 0, 0}, /* 0xB2 (10110010) */
    {1, 2, 5, 6, 8, 0, 0, 0}, /* 0xB3 (10110011) */
    {3, 5, 6, 8, 0, 0, 0, 0}, /* 0xB4 (10110100) */
    {1, 3, 5, 6, 8, 0, 0, 0}, /* 0xB5 (10110101) */
    {2, 3, 5, 6, 8, 0, 0, 0}, /* 0xB6 (10110110) */
    {1, 2, 3, 5, 6, 8, 0, 0}, /* 0xB7 (10110111) */
    {4, 5, 6, 8, 0, 0, 0, 0}, /* 0xB8 (10111000) */
    {1, 4, 5, 6, 8, 0, 0, 0}, /* 0xB9 (10111001) */
    {2, 4, 5, 6, 8, 0, 0, 0}, /* 0xBA (10111010) */
    {1, 2, 4, 5, 6, 8, 0, 0}, /* 0xBB (10111011) */
    {3, 4, 5, 6, 8, 0, 0, 0}, /* 0xBC (10111100) */
    {1, 3, 4, 5, 6, 8, 0, 0}, /* 0xBD (10111101) */
    {2, 3, 4, 5, 6, 8, 0, 0}, /* 0xBE (10111110) */
    {1, 2, 3, 4, 5, 6, 8, 0}, /* 0xBF (10111111) */
    {7, 8, 0, 0, 0, 0, 0, 0}, /* 0xC0 (11000000) */
    {1, 7, 8, 0, 0, 0, 0, 0}, /* 0xC1 (11000001) */
    {2, 7, 8, 0, 0, 0, 0, 0}, /* 0xC2 (11000010) */
    {1, 2, 7, 8, 0, 0, 0, 0}, /* 0xC3 (11000011) */
    {3, 7, 8, 0, 0, 0, 0, 0}, /* 0xC4 (11000100) */
    {1, 3, 7, 8, 0, 0, 0, 0}, /* 0xC5 (11000101) */
    {2, 3, 7, 8, 0, 0, 0, 0}, /* 0xC6 (11000110) */
    {1, 2, 3, 7, 8, 0, 0, 0}, /* 0xC7 (11000111) */
    {4, 7, 8, 0, 0, 0, 0, 0}, /* 0xC8 (11001000) */
    {1, 4, 7, 8, 0, 0, 0, 0}, /* 0xC9 (11001001) */
    {2, 4, 7, 8, 0, 0, 0, 0}, /* 0xCA (11001010) */
    {1, 2, 4, 7, 8, 0, 0, 0}, /* 0xCB (11001011) */
    {3, 4, 7, 8, 0, 0, 0, 0}, /* 0xCC (11001100) */
    {1, 3, 4, 7, 8, 0, 0, 0}, /* 0xCD (11001101) */
    {2, 3, 4, 7, 8, 0, 0, 0}, /* 0xCE (11001110) */
    {1, 2, 3, 4, 7, 8, 0, 0}, /* 0xCF (11001111) */
    {5, 7, 8, 0, 0, 0, 0, 0}, /* 0xD0 (11010000) */
    {1, 5, 7, 8, 0, 0, 0, 0}, /* 0xD1 (11010001) */
    {2, 5, 7, 8, 0, 0, 0, 0}, /* 0xD2 (11010010) */
    {1, 2, 5, 7, 8, 0, 0, 0}, /* 0xD3 (11010011) */
    {3, 5, 7, 8, 0, 0, 0, 0}, /* 0xD4 (11010100) */
    {1, 3, 5, 7, 8, 0, 0, 0}, /* 0xD5 (11010101) */
    {2, 3, 5, 7, 8, 0, 0, 0}, /* 0xD6 (11010110) */
    {1, 2, 3, 5, 7, 8, 0, 0}, /* 0xD7 (11010111) */
    {4, 5, 7, 8, 0, 0, 0, 0}, /* 0xD8 (11011000) */
    {1, 4, 5, 7, 8, 0, 0, 0}, /* 0xD9 (11011001) */
    {2, 4, 5, 7, 8, 0, 0, 0}, /* 0xDA (11011010) */
    {1, 2, 4, 5, 7, 8, 0, 0}, /* 0xDB (11011011) */
    {3, 4, 5, 7, 8, 0, 0, 0}, /* 0xDC (11011100) */
    {1, 3, 4, 5, 7, 8, 0, 0}, /* 0xDD (11011101) */
    {2, 3, 4, 5, 7, 8, 0, 0}, /* 0xDE (11011110) */
    {1, 2, 3, 4, 5, 7, 8, 0}, /* 0xDF (11011111) */
    {6, 7, 8, 0, 0, 0, 0, 0}, /* 0xE0 (11100000) */
    {1, 6, 7, 8, 0, 0, 0, 0}, /* 0xE1 (11100001) */
    {2, 6, 7, 8, 0, 0, 0, 0}, /* 0xE2 (11100010) */
    {1, 2, 6, 7, 8, 0, 0, 0}, /* 0xE3 (11100011) */
    {3, 6, 7, 8, 0, 0, 0, 0}, /* 0xE4 (11100100) */
    {1, 3, 6, 7, 8, 0, 0, 0}, /* 0xE5 (11100101) */
    {2, 3, 6, 7, 8, 0, 0, 0}, /* 0xE6 (11100110) */
    {1, 2, 3, 6, 7, 8, 0, 0}, /* 0xE7 (11100111) */
    {4, 6, 7, 8, 0, 0, 0, 0}, /* 0xE8 (11101000) */
    {1, 4, 6, 7, 8, 0, 0, 0}, /* 0xE9 (11101001) */
    {2, 4, 6, 7, 8, 0, 0, 0}, /* 0xEA (11101010) */
    {1, 2, 4, 6, 7, 8, 0, 0}, /* 0xEB (11101011) */
    {3, 4, 6, 7, 8, 0, 0, 0}, /* 0xEC (11101100) */
    {1, 3, 4, 6, 7, 8, 0, 0}, /* 0xED (11101101) */
    {2, 3, 4, 6, 7, 8, 0, 0}, /* 0xEE (11101110) */
    {1, 2, 3, 4, 6, 7, 8, 0}, /* 0xEF (11101111) */
    {5, 6, 7, 8, 0, 0, 0, 0}, /* 0xF0 (11110000) */
    {1, 5, 6, 7, 8, 0, 0, 0}, /* 0xF1 (11110001) */
    {2, 5, 6, 7, 8, 0, 0, 0}, /* 0xF2 (11110010) */
    {1, 2, 5, 6, 7, 8, 0, 0}, /* 0xF3 (11110011) */
    {3, 5, 6, 7, 8, 0, 0, 0}, /* 0xF4 (11110100) */
    {1, 3, 5, 6, 7, 8, 0, 0}, /* 0xF5 (11110101) */
    {2, 3, 5, 6, 7, 8, 0, 0}, /* 0xF6 (11110110) */
    {1, 2, 3, 5, 6, 7, 8, 0}, /* 0xF7 (11110111) */
    {4, 5, 6, 7, 8, 0, 0, 0}, /* 0xF8 (11111000) */
    {1, 4, 5, 6, 7, 8, 0, 0}, /* 0xF9 (11111001) */
    {2, 4, 5, 6, 7, 8, 0, 0}, /* 0xFA (11111010) */
    {1, 2, 4, 5, 6, 7, 8, 0}, /* 0xFB (11111011) */
    {3, 4, 5, 6, 7, 8, 0, 0}, /* 0xFC (11111100) */
    {1, 3, 4, 5, 6, 7, 8, 0}, /* 0xFD (11111101) */
    {2, 3, 4, 5, 6, 7, 8, 0}, /* 0xFE (11111110) */
    {1, 2, 3, 4, 5, 6, 7, 8}  /* 0xFF (11111111) */
};

#endif

#if CROARING_IS_X64
#if CROARING_COMPILER_SUPPORTS_AVX512
CROARING_TARGET_AVX512
const uint8_t vbmi2_table[64] = {
    0,  1,  2,  3,  4,  5,  6,  7,  8,  9,  10, 11, 12, 13, 14, 15,
    16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31,
    32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47,
    48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63};
size_t bitset_extract_setbits_avx512(const uint64_t *words, size_t length,
                                     uint32_t *vout, size_t outcapacity,
                                     uint32_t base) {
    uint32_t *out = (uint32_t *)vout;
    uint32_t *initout = out;
    uint32_t *safeout = out + outcapacity;
    __m512i base_v = _mm512_set1_epi32(base);
    __m512i index_table = _mm512_loadu_si512(vbmi2_table);
    size_t i = 0;

    for (; (i < length) && ((out + 64) < safeout); i += 1) {
        uint64_t v = words[i];
        __m512i vec = _mm512_maskz_compress_epi8(v, index_table);

        uint8_t advance = (uint8_t)roaring_hamming(v);

        __m512i vbase =
            _mm512_add_epi32(base_v, _mm512_set1_epi32((int)(i * 64)));
        __m512i r1 = _mm512_cvtepi8_epi32(_mm512_extracti32x4_epi32(vec, 0));
        __m512i r2 = _mm512_cvtepi8_epi32(_mm512_extracti32x4_epi32(vec, 1));
        __m512i r3 = _mm512_cvtepi8_epi32(_mm512_extracti32x4_epi32(vec, 2));
        __m512i r4 = _mm512_cvtepi8_epi32(_mm512_extracti32x4_epi32(vec, 3));

        r1 = _mm512_add_epi32(r1, vbase);
        r2 = _mm512_add_epi32(r2, vbase);
        r3 = _mm512_add_epi32(r3, vbase);
        r4 = _mm512_add_epi32(r4, vbase);
        _mm512_storeu_si512((__m512i *)out, r1);
        _mm512_storeu_si512((__m512i *)(out + 16), r2);
        _mm512_storeu_si512((__m512i *)(out + 32), r3);
        _mm512_storeu_si512((__m512i *)(out + 48), r4);

        out += advance;
    }

    base += i * 64;

    for (; (i < length) && (out < safeout); ++i) {
        uint64_t w = words[i];
        while ((w != 0) && (out < safeout)) {
            int r =
                roaring_trailing_zeroes(w);  // on x64, should compile to TZCNT
            uint32_t val = r + base;
            memcpy(out, &val,
                   sizeof(uint32_t));  // should be compiled as a MOV on x64
            out++;
            w &= (w - 1);
        }
        base += 64;
    }

    return out - initout;
}

// Reference:
// https://lemire.me/blog/2022/05/10/faster-bitset-decoding-using-intel-avx-512/
size_t bitset_extract_setbits_avx512_uint16(const uint64_t *array,
                                            size_t length, uint16_t *vout,
                                            size_t capacity, uint16_t base) {
    uint16_t *out = (uint16_t *)vout;
    uint16_t *initout = out;
    uint16_t *safeout = vout + capacity;

    __m512i base_v = _mm512_set1_epi16(base);
    __m512i index_table = _mm512_loadu_si512(vbmi2_table);
    size_t i = 0;

    for (; (i < length) && ((out + 64) < safeout); i++) {
        uint64_t v = array[i];
        __m512i vec = _mm512_maskz_compress_epi8(v, index_table);

        uint8_t advance = (uint8_t)roaring_hamming(v);

        __m512i vbase =
            _mm512_add_epi16(base_v, _mm512_set1_epi16((short)(i * 64)));
        __m512i r1 = _mm512_cvtepi8_epi16(_mm512_extracti32x8_epi32(vec, 0));
        __m512i r2 = _mm512_cvtepi8_epi16(_mm512_extracti32x8_epi32(vec, 1));

        r1 = _mm512_add_epi16(r1, vbase);
        r2 = _mm512_add_epi16(r2, vbase);

        _mm512_storeu_si512((__m512i *)out, r1);
        _mm512_storeu_si512((__m512i *)(out + 32), r2);
        out += advance;
    }

    base += i * 64;

    for (; (i < length) && (out < safeout); ++i) {
        uint64_t w = array[i];
        while ((w != 0) && (out < safeout)) {
            int r =
                roaring_trailing_zeroes(w);  // on x64, should compile to TZCNT
            uint32_t val = r + base;
            memcpy(out, &val, sizeof(uint16_t));
            out++;
            w &= (w - 1);
        }
        base += 64;
    }

    return out - initout;
}
CROARING_UNTARGET_AVX512
#endif

CROARING_TARGET_AVX2
size_t bitset_extract_setbits_avx2(const uint64_t *words, size_t length,
                                   uint32_t *out, size_t outcapacity,
                                   uint32_t base) {
    uint32_t *initout = out;
    __m256i baseVec = _mm256_set1_epi32(base - 1);
    __m256i incVec = _mm256_set1_epi32(64);
    __m256i add8 = _mm256_set1_epi32(8);
    uint32_t *safeout = out + outcapacity;
    size_t i = 0;
    for (; (i < length) && (out + 64 <= safeout); ++i) {
        uint64_t w = words[i];
        if (w == 0) {
            baseVec = _mm256_add_epi32(baseVec, incVec);
        } else {
            for (int k = 0; k < 4; ++k) {
                uint8_t byteA = (uint8_t)w;
                uint8_t byteB = (uint8_t)(w >> 8);
                w >>= 16;
                __m256i vecA =
                    _mm256_loadu_si256((const __m256i *)vecDecodeTable[byteA]);
                __m256i vecB =
                    _mm256_loadu_si256((const __m256i *)vecDecodeTable[byteB]);
                uint8_t advanceA = lengthTable[byteA];
                uint8_t advanceB = lengthTable[byteB];
                vecA = _mm256_add_epi32(baseVec, vecA);
                baseVec = _mm256_add_epi32(baseVec, add8);
                vecB = _mm256_add_epi32(baseVec, vecB);
                baseVec = _mm256_add_epi32(baseVec, add8);
                _mm256_storeu_si256((__m256i *)out, vecA);
                out += advanceA;
                _mm256_storeu_si256((__m256i *)out, vecB);
                out += advanceB;
            }
        }
    }
    base += i * 64;
    for (; (i < length) && (out < safeout); ++i) {
        uint64_t w = words[i];
        while ((w != 0) && (out < safeout)) {
            int r =
                roaring_trailing_zeroes(w);  // on x64, should compile to TZCNT
            uint32_t val = r + base;
            memcpy(out, &val,
                   sizeof(uint32_t));  // should be compiled as a MOV on x64
            out++;
            w &= (w - 1);
        }
        base += 64;
    }
    return out - initout;
}
CROARING_UNTARGET_AVX2
#endif  // CROARING_IS_X64

size_t bitset_extract_setbits(const uint64_t *words, size_t length,
                              uint32_t *out, uint32_t base) {
    int outpos = 0;
    for (size_t i = 0; i < length; ++i) {
        uint64_t w = words[i];
        while (w != 0) {
            int r =
                roaring_trailing_zeroes(w);  // on x64, should compile to TZCNT
            uint32_t val = r + base;
            memcpy(out + outpos, &val,
                   sizeof(uint32_t));  // should be compiled as a MOV on x64
            outpos++;
            w &= (w - 1);
        }
        base += 64;
    }
    return outpos;
}

size_t bitset_extract_intersection_setbits_uint16(
    const uint64_t *__restrict__ words1, const uint64_t *__restrict__ words2,
    size_t length, uint16_t *out, uint16_t base) {
    int outpos = 0;
    for (size_t i = 0; i < length; ++i) {
        uint64_t w = words1[i] & words2[i];
        while (w != 0) {
            int r = roaring_trailing_zeroes(w);
            out[outpos++] = (uint16_t)(r + base);
            w &= (w - 1);
        }
        base += 64;
    }
    return outpos;
}

#if CROARING_IS_X64
/*
 * Given a bitset containing "length" 64-bit words, write out the position
 * of all the set bits to "out" as 16-bit integers, values start at "base" (can
 *be set to zero).
 *
 * The "out" pointer should be sufficient to store the actual number of bits
 *set.
 *
 * Returns how many values were actually decoded.
 *
 * This function uses SSE decoding.
 */
CROARING_TARGET_AVX2
size_t bitset_extract_setbits_sse_uint16(const uint64_t *words, size_t length,
                                         uint16_t *out, size_t outcapacity,
                                         uint16_t base) {
    uint16_t *initout = out;
    __m128i baseVec = _mm_set1_epi16(base - 1);
    __m128i incVec = _mm_set1_epi16(64);
    __m128i add8 = _mm_set1_epi16(8);
    uint16_t *safeout = out + outcapacity;
    const int numberofbytes = 2;  // process two bytes at a time
    size_t i = 0;
    for (; (i < length) && (out + numberofbytes * 8 <= safeout); ++i) {
        uint64_t w = words[i];
        if (w == 0) {
            baseVec = _mm_add_epi16(baseVec, incVec);
        } else {
            for (int k = 0; k < 4; ++k) {
                uint8_t byteA = (uint8_t)w;
                uint8_t byteB = (uint8_t)(w >> 8);
                w >>= 16;
                __m128i vecA = _mm_loadu_si128(
                    (const __m128i *)vecDecodeTable_uint16[byteA]);
                __m128i vecB = _mm_loadu_si128(
                    (const __m128i *)vecDecodeTable_uint16[byteB]);
                uint8_t advanceA = lengthTable[byteA];
                uint8_t advanceB = lengthTable[byteB];
                vecA = _mm_add_epi16(baseVec, vecA);
                baseVec = _mm_add_epi16(baseVec, add8);
                vecB = _mm_add_epi16(baseVec, vecB);
                baseVec = _mm_add_epi16(baseVec, add8);
                _mm_storeu_si128((__m128i *)out, vecA);
                out += advanceA;
                _mm_storeu_si128((__m128i *)out, vecB);
                out += advanceB;
            }
        }
    }
    base += (uint16_t)(i * 64);
    for (; (i < length) && (out < safeout); ++i) {
        uint64_t w = words[i];
        while ((w != 0) && (out < safeout)) {
            int r = roaring_trailing_zeroes(w);
            *out = (uint16_t)(r + base);
            out++;
            w &= (w - 1);
        }
        base += 64;
    }
    return out - initout;
}
CROARING_UNTARGET_AVX2
#endif

/*
 * Given a bitset containing "length" 64-bit words, write out the position
 * of all the set bits to "out", values start at "base" (can be set to zero).
 *
 * The "out" pointer should be sufficient to store the actual number of bits
 *set.
 *
 * Returns how many values were actually decoded.
 */
size_t bitset_extract_setbits_uint16(const uint64_t *words, size_t length,
                                     uint16_t *out, uint16_t base) {
    int outpos = 0;
    for (size_t i = 0; i < length; ++i) {
        uint64_t w = words[i];
        while (w != 0) {
            int r = roaring_trailing_zeroes(w);
            out[outpos++] = (uint16_t)(r + base);
            w &= (w - 1);
        }
        base += 64;
    }
    return outpos;
}

#if defined(CROARING_ASMBITMANIPOPTIMIZATION) && defined(CROARING_IS_X64)

static inline uint64_t _asm_bitset_set_list_withcard(uint64_t *words,
                                                     uint64_t card,
                                                     const uint16_t *list,
                                                     uint64_t length) {
    uint64_t offset, load, pos;
    uint64_t shift = 6;
    const uint16_t *end = list + length;
    if (!length) return card;
    // TODO: could unroll for performance, see bitset_set_list
    // bts is not available as an intrinsic in GCC
    __asm volatile(
        "1:\n"
        "movzwq (%[list]), %[pos]\n"
        "shrx %[shift], %[pos], %[offset]\n"
        "mov (%[words],%[offset],8), %[load]\n"
        "bts %[pos], %[load]\n"
        "mov %[load], (%[words],%[offset],8)\n"
        "sbb $-1, %[card]\n"
        "add $2, %[list]\n"
        "cmp %[list], %[end]\n"
        "jnz 1b"
        : [card] "+&r"(card), [list] "+&r"(list), [load] "=&r"(load),
          [pos] "=&r"(pos), [offset] "=&r"(offset)
        : [end] "r"(end), [words] "r"(words), [shift] "r"(shift));
    return card;
}

static inline void _asm_bitset_set_list(uint64_t *words, const uint16_t *list,
                                        uint64_t length) {
    uint64_t pos;
    const uint16_t *end = list + length;

    uint64_t shift = 6;
    uint64_t offset;
    uint64_t load;
    for (; list + 3 < end; list += 4) {
        pos = list[0];
        __asm volatile(
            "shrx %[shift], %[pos], %[offset]\n"
            "mov (%[words],%[offset],8), %[load]\n"
            "bts %[pos], %[load]\n"
            "mov %[load], (%[words],%[offset],8)"
            : [load] "=&r"(load), [offset] "=&r"(offset)
            : [words] "r"(words), [shift] "r"(shift), [pos] "r"(pos));
        pos = list[1];
        __asm volatile(
            "shrx %[shift], %[pos], %[offset]\n"
            "mov (%[words],%[offset],8), %[load]\n"
            "bts %[pos], %[load]\n"
            "mov %[load], (%[words],%[offset],8)"
            : [load] "=&r"(load), [offset] "=&r"(offset)
            : [words] "r"(words), [shift] "r"(shift), [pos] "r"(pos));
        pos = list[2];
        __asm volatile(
            "shrx %[shift], %[pos], %[offset]\n"
            "mov (%[words],%[offset],8), %[load]\n"
            "bts %[pos], %[load]\n"
            "mov %[load], (%[words],%[offset],8)"
            : [load] "=&r"(load), [offset] "=&r"(offset)
            : [words] "r"(words), [shift] "r"(shift), [pos] "r"(pos));
        pos = list[3];
        __asm volatile(
            "shrx %[shift], %[pos], %[offset]\n"
            "mov (%[words],%[offset],8), %[load]\n"
            "bts %[pos], %[load]\n"
            "mov %[load], (%[words],%[offset],8)"
            : [load] "=&r"(load), [offset] "=&r"(offset)
            : [words] "r"(words), [shift] "r"(shift), [pos] "r"(pos));
    }

    while (list != end) {
        pos = list[0];
        __asm volatile(
            "shrx %[shift], %[pos], %[offset]\n"
            "mov (%[words],%[offset],8), %[load]\n"
            "bts %[pos], %[load]\n"
            "mov %[load], (%[words],%[offset],8)"
            : [load] "=&r"(load), [offset] "=&r"(offset)
            : [words] "r"(words), [shift] "r"(shift), [pos] "r"(pos));
        list++;
    }
}

static inline uint64_t _asm_bitset_clear_list(uint64_t *words, uint64_t card,
                                              const uint16_t *list,
                                              uint64_t length) {
    uint64_t offset, load, pos;
    uint64_t shift = 6;
    const uint16_t *end = list + length;
    if (!length) return card;
    // btr is not available as an intrinsic in GCC
    __asm volatile(
        "1:\n"
        "movzwq (%[list]), %[pos]\n"
        "shrx %[shift], %[pos], %[offset]\n"
        "mov (%[words],%[offset],8), %[load]\n"
        "btr %[pos], %[load]\n"
        "mov %[load], (%[words],%[offset],8)\n"
        "sbb $0, %[card]\n"
        "add $2, %[list]\n"
        "cmp %[list], %[end]\n"
        "jnz 1b"
        : [card] "+&r"(card), [list] "+&r"(list), [load] "=&r"(load),
          [pos] "=&r"(pos), [offset] "=&r"(offset)
        : [end] "r"(end), [words] "r"(words), [shift] "r"(shift)
        :
        /* clobbers */ "memory");
    return card;
}

static inline uint64_t _scalar_bitset_clear_list(uint64_t *words, uint64_t card,
                                                 const uint16_t *list,
                                                 uint64_t length) {
    uint64_t offset, load, newload, pos, index;
    const uint16_t *end = list + length;
    while (list != end) {
        pos = *(const uint16_t *)list;
        offset = pos >> 6;
        index = pos % 64;
        load = words[offset];
        newload = load & ~(UINT64_C(1) << index);
        card -= (load ^ newload) >> index;
        words[offset] = newload;
        list++;
    }
    return card;
}

static inline uint64_t _scalar_bitset_set_list_withcard(uint64_t *words,
                                                        uint64_t card,
                                                        const uint16_t *list,
                                                        uint64_t length) {
    uint64_t offset, load, newload, pos, index;
    const uint16_t *end = list + length;
    while (list != end) {
        pos = *list;
        offset = pos >> 6;
        index = pos % 64;
        load = words[offset];
        newload = load | (UINT64_C(1) << index);
        card += (load ^ newload) >> index;
        words[offset] = newload;
        list++;
    }
    return card;
}

static inline void _scalar_bitset_set_list(uint64_t *words,
                                           const uint16_t *list,
                                           uint64_t length) {
    uint64_t offset, load, newload, pos, index;
    const uint16_t *end = list + length;
    while (list != end) {
        pos = *list;
        offset = pos >> 6;
        index = pos % 64;
        load = words[offset];
        newload = load | (UINT64_C(1) << index);
        words[offset] = newload;
        list++;
    }
}

uint64_t bitset_clear_list(uint64_t *words, uint64_t card, const uint16_t *list,
                           uint64_t length) {
    if (croaring_hardware_support() & ROARING_SUPPORTS_AVX2) {
        return _asm_bitset_clear_list(words, card, list, length);
    } else {
        return _scalar_bitset_clear_list(words, card, list, length);
    }
}

uint64_t bitset_set_list_withcard(uint64_t *words, uint64_t card,
                                  const uint16_t *list, uint64_t length) {
    if (croaring_hardware_support() & ROARING_SUPPORTS_AVX2) {
        return _asm_bitset_set_list_withcard(words, card, list, length);
    } else {
        return _scalar_bitset_set_list_withcard(words, card, list, length);
    }
}

void bitset_set_list(uint64_t *words, const uint16_t *list, uint64_t length) {
    if (croaring_hardware_support() & ROARING_SUPPORTS_AVX2) {
        _asm_bitset_set_list(words, list, length);
    } else {
        _scalar_bitset_set_list(words, list, length);
    }
}
#else
uint64_t bitset_clear_list(uint64_t *words, uint64_t card, const uint16_t *list,
                           uint64_t length) {
    uint64_t offset, load, newload, pos, index;
    const uint16_t *end = list + length;
    while (list != end) {
        pos = *(const uint16_t *)list;
        offset = pos >> 6;
        index = pos % 64;
        load = words[offset];
        newload = load & ~(UINT64_C(1) << index);
        card -= (load ^ newload) >> index;
        words[offset] = newload;
        list++;
    }
    return card;
}

uint64_t bitset_set_list_withcard(uint64_t *words, uint64_t card,
                                  const uint16_t *list, uint64_t length) {
    uint64_t offset, load, newload, pos, index;
    const uint16_t *end = list + length;
    while (list != end) {
        pos = *list;
        offset = pos >> 6;
        index = pos % 64;
        load = words[offset];
        newload = load | (UINT64_C(1) << index);
        card += (load ^ newload) >> index;
        words[offset] = newload;
        list++;
    }
    return card;
}

void bitset_set_list(uint64_t *words, const uint16_t *list, uint64_t length) {
    uint64_t offset, load, newload, pos, index;
    const uint16_t *end = list + length;
    while (list != end) {
        pos = *list;
        offset = pos >> 6;
        index = pos % 64;
        load = words[offset];
        newload = load | (UINT64_C(1) << index);
        words[offset] = newload;
        list++;
    }
}

#endif

/* flip specified bits */
/* TODO: consider whether worthwhile to make an asm version */

uint64_t bitset_flip_list_withcard(uint64_t *words, uint64_t card,
                                   const uint16_t *list, uint64_t length) {
    uint64_t offset, load, newload, pos, index;
    const uint16_t *end = list + length;
    while (list != end) {
        pos = *list;
        offset = pos >> 6;
        index = pos % 64;
        load = words[offset];
        newload = load ^ (UINT64_C(1) << index);
        // todo: is a branch here all that bad?
        card +=
            (1 - 2 * (((UINT64_C(1) << index) & load) >> index));  // +1 or -1
        words[offset] = newload;
        list++;
    }
    return card;
}

void bitset_flip_list(uint64_t *words, const uint16_t *list, uint64_t length) {
    uint64_t offset, load, newload, pos, index;
    const uint16_t *end = list + length;
    while (list != end) {
        pos = *list;
        offset = pos >> 6;
        index = pos % 64;
        load = words[offset];
        newload = load ^ (UINT64_C(1) << index);
        words[offset] = newload;
        list++;
    }
}

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace api {
#endif
#if defined(__GNUC__) && !defined(__clang__)
#pragma GCC diagnostic pop
#endif
/* end file src/bitset_util.c */
/* begin file src/bitset.c */
#include <limits.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>


#ifdef __cplusplus
extern "C" {
namespace roaring {
namespace internal {
#endif

extern inline void bitset_print(const bitset_t *b);
extern inline bool bitset_for_each(const bitset_t *b, bitset_iterator iterator,
                                   void *ptr);
extern inline size_t bitset_next_set_bits(const bitset_t *bitset,
                                          size_t *buffer, size_t capacity,
                                          size_t *startfrom);
extern inline void bitset_set_to_value(bitset_t *bitset, size_t i, bool flag);
extern inline bool bitset_next_set_bit(const bitset_t *bitset, size_t *i);
extern inline void bitset_set(bitset_t *bitset, size_t i);
extern inline bool bitset_get(const bitset_t *bitset, size_t i);
extern inline size_t bitset_size_in_words(const bitset_t *bitset);
extern inline size_t bitset_size_in_bits(const bitset_t *bitset);
extern inline size_t bitset_size_in_bytes(const bitset_t *bitset);

/* Create a new bitset. Return NULL in case of failure. */
bitset_t *bitset_create(void) {
    bitset_t *bitset = NULL;
    /* Allocate the bitset itself. */
    if ((bitset = (bitset_t *)roaring_malloc(sizeof(bitset_t))) == NULL) {
        return NULL;
    }
    bitset->array = NULL;
    bitset->arraysize = 0;
    bitset->capacity = 0;
    return bitset;
}

/* Create a new bitset able to contain size bits. Return NULL in case of
 * failure. */
bitset_t *bitset_create_with_capacity(size_t size) {
    bitset_t *bitset = NULL;
    /* Allocate the bitset itself. */
    if ((bitset = (bitset_t *)roaring_malloc(sizeof(bitset_t))) == NULL) {
        return NULL;
    }
    bitset->arraysize =
        (size + sizeof(uint64_t) * 8 - 1) / (sizeof(uint64_t) * 8);
    bitset->capacity = bitset->arraysize;
    if ((bitset->array = (uint64_t *)roaring_calloc(
             bitset->arraysize, sizeof(uint64_t))) == NULL) {
        roaring_free(bitset);
        return NULL;
    }
    return bitset;
}

/* Create a copy */
bitset_t *bitset_copy(const bitset_t *bitset) {
    bitset_t *copy = NULL;
    /* Allocate the bitset itself. */
    if ((copy = (bitset_t *)roaring_malloc(sizeof(bitset_t))) == NULL) {
        return NULL;
    }
    memcpy(copy, bitset, sizeof(bitset_t));
    copy->capacity = copy->arraysize;
    if ((copy->array = (uint64_t *)roaring_malloc(sizeof(uint64_t) *
                                                  bitset->arraysize)) == NULL) {
        roaring_free(copy);
        return NULL;
    }
    memcpy(copy->array, bitset->array, sizeof(uint64_t) * bitset->arraysize);
    return copy;
}

void bitset_clear(bitset_t *bitset) {
    memset(bitset->array, 0, sizeof(uint64_t) * bitset->arraysize);
}

void bitset_fill(bitset_t *bitset) {
    memset(bitset->array, 0xff, sizeof(uint64_t) * bitset->arraysize);
}

void bitset_shift_left(bitset_t *bitset, size_t s) {
    size_t extra_words = s / 64;
    int inword_shift = s % 64;
    size_t as = bitset->arraysize;
    if (inword_shift == 0) {
        bitset_resize(bitset, as + extra_words, false);
        // could be done with a memmove
        for (size_t i = as + extra_words; i > extra_words; i--) {
            bitset->array[i - 1] = bitset->array[i - 1 - extra_words];
        }
    } else {
        bitset_resize(bitset, as + extra_words + 1, true);
        bitset->array[as + extra_words] =
            bitset->array[as - 1] >> (64 - inword_shift);
        for (size_t i = as + extra_words; i >= extra_words + 2; i--) {
            bitset->array[i - 1] =
                (bitset->array[i - 1 - extra_words] << inword_shift) |
                (bitset->array[i - 2 - extra_words] >> (64 - inword_shift));
        }
        bitset->array[extra_words] = bitset->array[0] << inword_shift;
    }
    for (size_t i = 0; i < extra_words; i++) {
        bitset->array[i] = 0;
    }
}

void bitset_shift_right(bitset_t *bitset, size_t s) {
    size_t extra_words = s / 64;
    int inword_shift = s % 64;
    size_t as = bitset->arraysize;
    if (inword_shift == 0) {
        // could be done with a memmove
        for (size_t i = 0; i < as - extra_words; i++) {
            bitset->array[i] = bitset->array[i + extra_words];
        }
        bitset_resize(bitset, as - extra_words, false);

    } else {
        for (size_t i = 0; i + extra_words + 1 < as; i++) {
            bitset->array[i] =
                (bitset->array[i + extra_words] >> inword_shift) |
                (bitset->array[i + extra_words + 1] << (64 - inword_shift));
        }
        bitset->array[as - extra_words - 1] =
            (bitset->array[as - 1] >> inword_shift);
        bitset_resize(bitset, as - extra_words, false);
    }
}

/* Free memory. */
void bitset_free(bitset_t *bitset) {
    if (bitset == NULL) {
        return;
    }
    roaring_free(bitset->array);
    roaring_free(bitset);
}

/* Resize the bitset so that it can support newarraysize * 64 bits. Return true
 * in case of success, false for failure. */
bool bitset_resize(bitset_t *bitset, size_t newarraysize, bool padwithzeroes) {
    if (newarraysize > SIZE_MAX / 64) {
        return false;
    }
    size_t smallest =
        newarraysize < bitset->arraysize ? newarraysize : bitset->arraysize;
    if (bitset->capacity < newarraysize) {
        uint64_t *newarray;
        size_t newcapacity = bitset->capacity;
        if (newcapacity == 0) {
            newcapacity = 1;
        }
        while (newcapacity < newarraysize) {
            newcapacity *= 2;
        }
        if ((newarray = (uint64_t *)roaring_realloc(
                 bitset->array, sizeof(uint64_t) * newcapacity)) == NULL) {
            return false;
        }
        bitset->capacity = newcapacity;
        bitset->array = newarray;
    }
    if (padwithzeroes && (newarraysize > smallest))
        memset(bitset->array + smallest, 0,
               sizeof(uint64_t) * (newarraysize - smallest));
    bitset->arraysize = newarraysize;
    return true;  // success!
}

size_t bitset_count(const bitset_t *bitset) {
    size_t card = 0;
    size_t k = 0;
    for (; k + 7 < bitset->arraysize; k += 8) {
        card += roaring_hamming(bitset->array[k]);
        card += roaring_hamming(bitset->array[k + 1]);
        card += roaring_hamming(bitset->array[k + 2]);
        card += roaring_hamming(bitset->array[k + 3]);
        card += roaring_hamming(bitset->array[k + 4]);
        card += roaring_hamming(bitset->array[k + 5]);
        card += roaring_hamming(bitset->array[k + 6]);
        card += roaring_hamming(bitset->array[k + 7]);
    }
    for (; k + 3 < bitset->arraysize; k += 4) {
        card += roaring_hamming(bitset->array[k]);
        card += roaring_hamming(bitset->array[k + 1]);
        card += roaring_hamming(bitset->array[k + 2]);
        card += roaring_hamming(bitset->array[k + 3]);
    }
    for (; k < bitset->arraysize; k++) {
        card += roaring_hamming(bitset->array[k]);
    }
    return card;
}

bool bitset_inplace_union(bitset_t *CROARING_CBITSET_RESTRICT b1,
                          const bitset_t *CROARING_CBITSET_RESTRICT b2) {
    size_t minlength =
        b1->arraysize < b2->arraysize ? b1->arraysize : b2->arraysize;
    for (size_t k = 0; k < minlength; ++k) {
        b1->array[k] |= b2->array[k];
    }
    if (b2->arraysize > b1->arraysize) {
        size_t oldsize = b1->arraysize;
        if (!bitset_resize(b1, b2->arraysize, false)) return false;
        memcpy(b1->array + oldsize, b2->array + oldsize,
               (b2->arraysize - oldsize) * sizeof(uint64_t));
    }
    return true;
}

bool bitset_empty(const bitset_t *bitset) {
    for (size_t k = 0; k < bitset->arraysize; k++) {
        if (bitset->array[k] != 0) {
            return false;
        }
    }
    return true;
}

size_t bitset_minimum(const bitset_t *bitset) {
    for (size_t k = 0; k < bitset->arraysize; k++) {
        uint64_t w = bitset->array[k];
        if (w != 0) {
            return roaring_trailing_zeroes(w) + k * 64;
        }
    }
    return SIZE_MAX;
}

bool bitset_grow(bitset_t *bitset, size_t newarraysize) {
    if (newarraysize < bitset->arraysize) {
        return false;
    }
    if (newarraysize > SIZE_MAX / 64) {
        return false;
    }
    if (bitset->capacity < newarraysize) {
        uint64_t *newarray;
        size_t newcapacity = (UINT64_C(0xFFFFFFFFFFFFFFFF) >>
                              roaring_leading_zeroes(newarraysize)) +
                             1;
        while (newcapacity < newarraysize) {
            newcapacity *= 2;
        }
        if ((newarray = (uint64_t *)roaring_realloc(
                 bitset->array, sizeof(uint64_t) * newcapacity)) == NULL) {
            return false;
        }
        bitset->capacity = newcapacity;
        bitset->array = newarray;
    }
    memset(bitset->array + bitset->arraysize, 0,
           sizeof(uint64_t) * (newarraysize - bitset->arraysize));
    bitset->arraysize = newarraysize;
    return true;  // success!
}

size_t bitset_maximum(const bitset_t *bitset) {
    for (size_t k = bitset->arraysize; k > 0; k--) {
        uint64_t w = bitset->array[k - 1];
        if (w != 0) {
            return 63 - roaring_leading_zeroes(w) + (k - 1) * 64;
        }
    }
    return 0;
}

/* Returns true if bitsets share no common elements, false otherwise.
 *
 * Performs early-out if common element found. */
bool bitsets_disjoint(const bitset_t *CROARING_CBITSET_RESTRICT b1,
                      const bitset_t *CROARING_CBITSET_RESTRICT b2) {
    size_t minlength =
        b1->arraysize < b2->arraysize ? b1->arraysize : b2->arraysize;

    for (size_t k = 0; k < minlength; k++) {
        if ((b1->array[k] & b2->array[k]) != 0) return false;
    }
    return true;
}

/* Returns true if bitsets contain at least 1 common element, false if they are
 * disjoint.
 *
 * Performs early-out if common element found. */
bool bitsets_intersect(const bitset_t *CROARING_CBITSET_RESTRICT b1,
                       const bitset_t *CROARING_CBITSET_RESTRICT b2) {
    size_t minlength =
        b1->arraysize < b2->arraysize ? b1->arraysize : b2->arraysize;

    for (size_t k = 0; k < minlength; k++) {
        if ((b1->array[k] & b2->array[k]) != 0) return true;
    }
    return false;
}

/* Returns true if b has any bits set in or after b->array[starting_loc]. */
static bool any_bits_set(const bitset_t *b, size_t starting_loc) {
    if (starting_loc >= b->arraysize) {
        return false;
    }
    for (size_t k = starting_loc; k < b->arraysize; k++) {
        if (b->array[k] != 0) return true;
    }
    return false;
}

/* Returns true if b1 has all of b2's bits set.
 *
 * Performs early out if a bit is found in b2 that is not found in b1. */
bool bitset_contains_all(const bitset_t *CROARING_CBITSET_RESTRICT b1,
                         const bitset_t *CROARING_CBITSET_RESTRICT b2) {
    size_t min_size = b1->arraysize;
    if (b1->arraysize > b2->arraysize) {
        min_size = b2->arraysize;
    }
    for (size_t k = 0; k < min_size; k++) {
        if ((b1->array[k] & b2->array[k]) != b2->array[k]) {
            return false;
        }
    }
    if (b2->arraysize > b1->arraysize) {
        /* Need to check if b2 has any bits set beyond b1's array */
        return !any_bits_set(b2, b1->arraysize);
    }
    return true;
}

size_t bitset_union_count(const bitset_t *CROARING_CBITSET_RESTRICT b1,
                          const bitset_t *CROARING_CBITSET_RESTRICT b2) {
    size_t answer = 0;
    size_t minlength =
        b1->arraysize < b2->arraysize ? b1->arraysize : b2->arraysize;
    size_t k = 0;
    for (; k + 3 < minlength; k += 4) {
        answer += roaring_hamming(b1->array[k] | b2->array[k]);
        answer += roaring_hamming(b1->array[k + 1] | b2->array[k + 1]);
        answer += roaring_hamming(b1->array[k + 2] | b2->array[k + 2]);
        answer += roaring_hamming(b1->array[k + 3] | b2->array[k + 3]);
    }
    for (; k < minlength; ++k) {
        answer += roaring_hamming(b1->array[k] | b2->array[k]);
    }
    if (b2->arraysize > b1->arraysize) {
        // k is equal to b1->arraysize
        for (; k + 3 < b2->arraysize; k += 4) {
            answer += roaring_hamming(b2->array[k]);
            answer += roaring_hamming(b2->array[k + 1]);
            answer += roaring_hamming(b2->array[k + 2]);
            answer += roaring_hamming(b2->array[k + 3]);
        }
        for (; k < b2->arraysize; ++k) {
            answer += roaring_hamming(b2->array[k]);
        }
    } else {
        // k is equal to b2->arraysize
        for (; k + 3 < b1->arraysize; k += 4) {
            answer += roaring_hamming(b1->array[k]);
            answer += roaring_hamming(b1->array[k + 1]);
            answer += roaring_hamming(b1->array[k + 2]);
            answer += roaring_hamming(b1->array[k + 3]);
        }
        for (; k < b1->arraysize; ++k) {
            answer += roaring_hamming(b1->array[k]);
        }
    }
    return answer;
}

void bitset_inplace_intersection(bitset_t *CROARING_CBITSET_RESTRICT b1,
                                 const bitset_t *CROARING_CBITSET_RESTRICT b2) {
    size_t minlength =
        b1->arraysize < b2->arraysize ? b1->arraysize : b2->arraysize;
    size_t k = 0;
    for (; k < minlength; ++k) {
        b1->array[k] &= b2->array[k];
    }
    for (; k < b1->arraysize; ++k) {
        b1->array[k] = 0;  // memset could, maybe, be a tiny bit faster
    }
}

size_t bitset_intersection_count(const bitset_t *CROARING_CBITSET_RESTRICT b1,
                                 const bitset_t *CROARING_CBITSET_RESTRICT b2) {
    size_t answer = 0;
    size_t minlength =
        b1->arraysize < b2->arraysize ? b1->arraysize : b2->arraysize;
    for (size_t k = 0; k < minlength; ++k) {
        answer += roaring_hamming(b1->array[k] & b2->array[k]);
    }
    return answer;
}

void bitset_inplace_difference(bitset_t *CROARING_CBITSET_RESTRICT b1,
                               const bitset_t *CROARING_CBITSET_RESTRICT b2) {
    size_t minlength =
        b1->arraysize < b2->arraysize ? b1->arraysize : b2->arraysize;
    size_t k = 0;
    for (; k < minlength; ++k) {
        b1->array[k] &= ~(b2->array[k]);
    }
}

size_t bitset_difference_count(const bitset_t *CROARING_CBITSET_RESTRICT b1,
                               const bitset_t *CROARING_CBITSET_RESTRICT b2) {
    size_t minlength =
        b1->arraysize < b2->arraysize ? b1->arraysize : b2->arraysize;
    size_t k = 0;
    size_t answer = 0;
    for (; k < minlength; ++k) {
        answer += roaring_hamming(b1->array[k] & ~(b2->array[k]));
    }
    for (; k < b1->arraysize; ++k) {
        answer += roaring_hamming(b1->array[k]);
    }
    return answer;
}

bool bitset_inplace_symmetric_difference(
    bitset_t *CROARING_CBITSET_RESTRICT b1,
    const bitset_t *CROARING_CBITSET_RESTRICT b2) {
    size_t minlength =
        b1->arraysize < b2->arraysize ? b1->arraysize : b2->arraysize;
    size_t k = 0;
    for (; k < minlength; ++k) {
        b1->array[k] ^= b2->array[k];
    }
    if (b2->arraysize > b1->arraysize) {
        size_t oldsize = b1->arraysize;
        if (!bitset_resize(b1, b2->arraysize, false)) return false;
        memcpy(b1->array + oldsize, b2->array + oldsize,
               (b2->arraysize - oldsize) * sizeof(uint64_t));
    }
    return true;
}

size_t bitset_symmetric_difference_count(
    const bitset_t *CROARING_CBITSET_RESTRICT b1,
    const bitset_t *CROARING_CBITSET_RESTRICT b2) {
    size_t minlength =
        b1->arraysize < b2->arraysize ? b1->arraysize : b2->arraysize;
    size_t k = 0;
    size_t answer = 0;
    for (; k < minlength; ++k) {
        answer += roaring_hamming(b1->array[k] ^ b2->array[k]);
    }
    if (b2->arraysize > b1->arraysize) {
        for (; k < b2->arraysize; ++k) {
            answer += roaring_hamming(b2->array[k]);
        }
    } else {
        for (; k < b1->arraysize; ++k) {
            answer += roaring_hamming(b1->array[k]);
        }
    }
    return answer;
}

bool bitset_trim(bitset_t *bitset) {
    size_t newsize = bitset->arraysize;
    while (newsize > 0) {
        if (bitset->array[newsize - 1] == 0)
            newsize -= 1;
        else
            break;
    }
    if (bitset->capacity == newsize) return true;  // nothing to do
    uint64_t *newarray;
    if ((newarray = (uint64_t *)roaring_realloc(
             bitset->array, sizeof(uint64_t) * newsize)) == NULL) {
        return false;
    }
    bitset->array = newarray;
    bitset->capacity = newsize;
    bitset->arraysize = newsize;
    return true;
}

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace internal {
#endif
/* end file src/bitset.c */
/* begin file src/containers/array.c */
/*
 * array.c
 *
 */

#include <assert.h>
#include <stdio.h>
#include <stdlib.h>


#if CROARING_IS_X64
#ifndef CROARING_COMPILER_SUPPORTS_AVX512
#error "CROARING_COMPILER_SUPPORTS_AVX512 needs to be defined."
#endif  // CROARING_COMPILER_SUPPORTS_AVX512
#endif

#ifdef __cplusplus
extern "C" {
namespace roaring {
namespace internal {
#endif

extern inline uint16_t array_container_minimum(const array_container_t *arr);
extern inline uint16_t array_container_maximum(const array_container_t *arr);
extern inline int array_container_index_equalorlarger(
    const array_container_t *arr, uint16_t x);

extern inline int array_container_rank(const array_container_t *arr,
                                       uint16_t x);
extern inline uint32_t array_container_rank_many(const array_container_t *arr,
                                                 uint64_t start_rank,
                                                 const uint32_t *begin,
                                                 const uint32_t *end,
                                                 uint64_t *ans);
extern inline int array_container_get_index(const array_container_t *arr,
                                            uint16_t x);
extern inline bool array_container_contains(const array_container_t *arr,
                                            uint16_t pos);
extern inline int array_container_cardinality(const array_container_t *array);
extern inline bool array_container_nonzero_cardinality(
    const array_container_t *array);
extern inline int32_t array_container_serialized_size_in_bytes(int32_t card);
extern inline bool array_container_empty(const array_container_t *array);
extern inline bool array_container_full(const array_container_t *array);

/* Create a new array with capacity size. Return NULL in case of failure. */
array_container_t *array_container_create_given_capacity(int32_t size) {
    array_container_t *container;

    if ((container = (array_container_t *)roaring_malloc(
             sizeof(array_container_t))) == NULL) {
        return NULL;
    }

    if (size <= 0) {  // we don't want to rely on malloc(0)
        container->array = NULL;
    } else if ((container->array = (uint16_t *)roaring_malloc(sizeof(uint16_t) *
                                                              size)) == NULL) {
        roaring_free(container);
        return NULL;
    }

    container->capacity = size;
    container->cardinality = 0;

    return container;
}

/* Create a new array. Return NULL in case of failure. */
array_container_t *array_container_create(void) {
    return array_container_create_given_capacity(ARRAY_DEFAULT_INIT_SIZE);
}

/* Create a new array containing all values in [min,max). */
array_container_t *array_container_create_range(uint32_t min, uint32_t max) {
    array_container_t *answer =
        array_container_create_given_capacity(max - min + 1);
    if (answer == NULL) return answer;
    answer->cardinality = 0;
    for (uint32_t k = min; k < max; k++) {
        answer->array[answer->cardinality++] = k;
    }
    return answer;
}

/* Duplicate container */
CROARING_ALLOW_UNALIGNED
array_container_t *array_container_clone(const array_container_t *src) {
    array_container_t *newcontainer =
        array_container_create_given_capacity(src->capacity);
    if (newcontainer == NULL) return NULL;

    newcontainer->cardinality = src->cardinality;

    memcpy(newcontainer->array, src->array,
           src->cardinality * sizeof(uint16_t));

    return newcontainer;
}

void array_container_offset(const array_container_t *c, container_t **loc,
                            container_t **hic, uint16_t offset) {
    array_container_t *lo = NULL, *hi = NULL;
    int top, lo_cap, hi_cap;

    top = (1 << 16) - offset;

    lo_cap = count_less(c->array, c->cardinality, top);
    if (loc && lo_cap) {
        lo = array_container_create_given_capacity(lo_cap);
        for (int i = 0; i < lo_cap; ++i) {
            array_container_add(lo, c->array[i] + offset);
        }
        *loc = (container_t *)lo;
    }

    hi_cap = c->cardinality - lo_cap;
    if (hic && hi_cap) {
        hi = array_container_create_given_capacity(hi_cap);
        for (int i = lo_cap; i < c->cardinality; ++i) {
            array_container_add(hi, c->array[i] + offset);
        }
        *hic = (container_t *)hi;
    }
}

int array_container_shrink_to_fit(array_container_t *src) {
    if (src->cardinality == src->capacity) return 0;  // nothing to do
    int savings = src->capacity - src->cardinality;
    src->capacity = src->cardinality;
    if (src->capacity ==
        0) {  // we do not want to rely on realloc for zero allocs
        roaring_free(src->array);
        src->array = NULL;
    } else {
        uint16_t *oldarray = src->array;
        src->array = (uint16_t *)roaring_realloc(
            oldarray, src->capacity * sizeof(uint16_t));
        if (src->array == NULL) roaring_free(oldarray);  // should never happen?
    }
    return savings;
}

/* Free memory. */
void array_container_free(array_container_t *arr) {
    if (arr == NULL) return;
    roaring_free(arr->array);
    roaring_free(arr);
}

static inline int32_t grow_capacity(int32_t capacity) {
    return (capacity <= 0)   ? ARRAY_DEFAULT_INIT_SIZE
           : capacity < 64   ? capacity * 2
           : capacity < 1024 ? capacity * 3 / 2
                             : capacity * 5 / 4;
}

static inline int32_t clamp(int32_t val, int32_t min, int32_t max) {
    return ((val < min) ? min : (val > max) ? max : val);
}

void array_container_grow(array_container_t *container, int32_t min,
                          bool preserve) {
    int32_t max = (min <= DEFAULT_MAX_SIZE ? DEFAULT_MAX_SIZE : 65536);
    int32_t new_capacity = clamp(grow_capacity(container->capacity), min, max);

    container->capacity = new_capacity;
    uint16_t *array = container->array;

    if (preserve) {
        container->array =
            (uint16_t *)roaring_realloc(array, new_capacity * sizeof(uint16_t));
        if (container->array == NULL) roaring_free(array);
    } else {
        roaring_free(array);
        container->array =
            (uint16_t *)roaring_malloc(new_capacity * sizeof(uint16_t));
    }

    // if realloc fails, we have container->array == NULL.
}

/* Copy one container into another. We assume that they are distinct. */
void array_container_copy(const array_container_t *src,
                          array_container_t *dst) {
    const int32_t cardinality = src->cardinality;
    if (cardinality > dst->capacity) {
        array_container_grow(dst, cardinality, false);
    }

    dst->cardinality = cardinality;
    memcpy(dst->array, src->array, cardinality * sizeof(uint16_t));
}

void array_container_add_from_range(array_container_t *arr, uint32_t min,
                                    uint32_t max, uint16_t step) {
    for (uint32_t value = min; value < max; value += step) {
        array_container_append(arr, value);
    }
}

/* Computes the union of array1 and array2 and write the result to arrayout.
 * It is assumed that arrayout is distinct from both array1 and array2.
 */
void array_container_union(const array_container_t *array_1,
                           const array_container_t *array_2,
                           array_container_t *out) {
    const int32_t card_1 = array_1->cardinality, card_2 = array_2->cardinality;
    const int32_t max_cardinality = card_1 + card_2;

    if (out->capacity < max_cardinality) {
        array_container_grow(out, max_cardinality, false);
    }
    out->cardinality = (int32_t)fast_union_uint16(
        array_1->array, card_1, array_2->array, card_2, out->array);
}

/* Computes the  difference of array1 and array2 and write the result
 * to array out.
 * Array out does not need to be distinct from array_1
 */
void array_container_andnot(const array_container_t *array_1,
                            const array_container_t *array_2,
                            array_container_t *out) {
    if (out->capacity < array_1->cardinality)
        array_container_grow(out, array_1->cardinality, false);
#if CROARING_IS_X64
    if ((croaring_hardware_support() & ROARING_SUPPORTS_AVX2) &&
        (out != array_1) && (out != array_2)) {
        out->cardinality = difference_vector16(
            array_1->array, array_1->cardinality, array_2->array,
            array_2->cardinality, out->array);
    } else {
        out->cardinality =
            difference_uint16(array_1->array, array_1->cardinality,
                              array_2->array, array_2->cardinality, out->array);
    }
#else
    out->cardinality =
        difference_uint16(array_1->array, array_1->cardinality, array_2->array,
                          array_2->cardinality, out->array);
#endif
}

/* Computes the symmetric difference of array1 and array2 and write the
 * result
 * to arrayout.
 * It is assumed that arrayout is distinct from both array1 and array2.
 */
void array_container_xor(const array_container_t *array_1,
                         const array_container_t *array_2,
                         array_container_t *out) {
    const int32_t card_1 = array_1->cardinality, card_2 = array_2->cardinality;
    const int32_t max_cardinality = card_1 + card_2;
    if (out->capacity < max_cardinality) {
        array_container_grow(out, max_cardinality, false);
    }

#if CROARING_IS_X64
    if (croaring_hardware_support() & ROARING_SUPPORTS_AVX2) {
        out->cardinality =
            xor_vector16(array_1->array, array_1->cardinality, array_2->array,
                         array_2->cardinality, out->array);
    } else {
        out->cardinality =
            xor_uint16(array_1->array, array_1->cardinality, array_2->array,
                       array_2->cardinality, out->array);
    }
#else
    out->cardinality =
        xor_uint16(array_1->array, array_1->cardinality, array_2->array,
                   array_2->cardinality, out->array);
#endif
}

static inline int32_t minimum_int32(int32_t a, int32_t b) {
    return (a < b) ? a : b;
}

/* computes the intersection of array1 and array2 and write the result to
 * arrayout.
 * It is assumed that arrayout is distinct from both array1 and array2.
 * */
void array_container_intersection(const array_container_t *array1,
                                  const array_container_t *array2,
                                  array_container_t *out) {
    int32_t card_1 = array1->cardinality, card_2 = array2->cardinality,
            min_card = minimum_int32(card_1, card_2);
    const int threshold = 64;  // subject to tuning
#if CROARING_IS_X64
    if (out->capacity < min_card) {
        array_container_grow(out, min_card + sizeof(__m128i) / sizeof(uint16_t),
                             false);
    }
#else
    if (out->capacity < min_card) {
        array_container_grow(out, min_card, false);
    }
#endif

    if (card_1 * threshold < card_2) {
        out->cardinality = intersect_skewed_uint16(
            array1->array, card_1, array2->array, card_2, out->array);
    } else if (card_2 * threshold < card_1) {
        out->cardinality = intersect_skewed_uint16(
            array2->array, card_2, array1->array, card_1, out->array);
    } else {
#if CROARING_IS_X64
        if (croaring_hardware_support() & ROARING_SUPPORTS_AVX2) {
            out->cardinality = intersect_vector16(
                array1->array, card_1, array2->array, card_2, out->array);
        } else {
            out->cardinality = intersect_uint16(
                array1->array, card_1, array2->array, card_2, out->array);
        }
#else
        out->cardinality = intersect_uint16(array1->array, card_1,
                                            array2->array, card_2, out->array);
#endif
    }
}

/* computes the size of the intersection of array1 and array2
 * */
int array_container_intersection_cardinality(const array_container_t *array1,
                                             const array_container_t *array2) {
    int32_t card_1 = array1->cardinality, card_2 = array2->cardinality;
    const int threshold = 64;  // subject to tuning
    if (card_1 * threshold < card_2) {
        return intersect_skewed_uint16_cardinality(array1->array, card_1,
                                                   array2->array, card_2);
    } else if (card_2 * threshold < card_1) {
        return intersect_skewed_uint16_cardinality(array2->array, card_2,
                                                   array1->array, card_1);
    } else {
#if CROARING_IS_X64
        if (croaring_hardware_support() & ROARING_SUPPORTS_AVX2) {
            return intersect_vector16_cardinality(array1->array, card_1,
                                                  array2->array, card_2);
        } else {
            return intersect_uint16_cardinality(array1->array, card_1,
                                                array2->array, card_2);
        }
#else
        return intersect_uint16_cardinality(array1->array, card_1,
                                            array2->array, card_2);
#endif
    }
}

bool array_container_intersect(const array_container_t *array1,
                               const array_container_t *array2) {
    int32_t card_1 = array1->cardinality, card_2 = array2->cardinality;
    const int threshold = 64;  // subject to tuning
    if (card_1 * threshold < card_2) {
        return intersect_skewed_uint16_nonempty(array1->array, card_1,
                                                array2->array, card_2);
    } else if (card_2 * threshold < card_1) {
        return intersect_skewed_uint16_nonempty(array2->array, card_2,
                                                array1->array, card_1);
    } else {
        // we do not bother vectorizing
        return intersect_uint16_nonempty(array1->array, card_1, array2->array,
                                         card_2);
    }
}

/* computes the intersection of array1 and array2 and write the result to
 * array1.
 * */
void array_container_intersection_inplace(array_container_t *src_1,
                                          const array_container_t *src_2) {
    int32_t card_1 = src_1->cardinality, card_2 = src_2->cardinality;
    const int threshold = 64;  // subject to tuning
    if (card_1 * threshold < card_2) {
        src_1->cardinality = intersect_skewed_uint16(
            src_1->array, card_1, src_2->array, card_2, src_1->array);
    } else if (card_2 * threshold < card_1) {
        src_1->cardinality = intersect_skewed_uint16(
            src_2->array, card_2, src_1->array, card_1, src_1->array);
    } else {
#if CROARING_IS_X64
        if (croaring_hardware_support() & ROARING_SUPPORTS_AVX2) {
            src_1->cardinality = intersect_vector16_inplace(
                src_1->array, card_1, src_2->array, card_2);
        } else {
            src_1->cardinality = intersect_uint16(
                src_1->array, card_1, src_2->array, card_2, src_1->array);
        }
#else
        src_1->cardinality = intersect_uint16(
            src_1->array, card_1, src_2->array, card_2, src_1->array);
#endif
    }
}

CROARING_ALLOW_UNALIGNED
int array_container_to_uint32_array(void *vout, const array_container_t *cont,
                                    uint32_t base) {
#if CROARING_IS_X64
    int support = croaring_hardware_support();
#if CROARING_COMPILER_SUPPORTS_AVX512
    if (support & ROARING_SUPPORTS_AVX512) {
        return avx512_array_container_to_uint32_array(vout, cont->array,
                                                      cont->cardinality, base);
    }
#endif
    if (support & ROARING_SUPPORTS_AVX2) {
        return array_container_to_uint32_array_vector16(
            vout, cont->array, cont->cardinality, base);
    }
#endif  // CROARING_IS_X64
    int outpos = 0;
    uint32_t *out = (uint32_t *)vout;
    size_t i = 0;
    for (; i < (size_t)cont->cardinality; ++i) {
        const uint32_t val = base + cont->array[i];
        memcpy(out + outpos, &val,
               sizeof(uint32_t));  // should be compiled as a MOV on x64
        outpos++;
    }
    return outpos;
}

void array_container_printf(const array_container_t *v) {
    if (v->cardinality == 0) {
        printf("{}");
        return;
    }
    printf("{");
    printf("%d", v->array[0]);
    for (int i = 1; i < v->cardinality; ++i) {
        printf(",%d", v->array[i]);
    }
    printf("}");
}

void array_container_printf_as_uint32_array(const array_container_t *v,
                                            uint32_t base) {
    if (v->cardinality == 0) {
        return;
    }
    printf("%u", v->array[0] + base);
    for (int i = 1; i < v->cardinality; ++i) {
        printf(",%u", v->array[i] + base);
    }
}

/*
 * Validate the container. Returns true if valid.
 */
bool array_container_validate(const array_container_t *v, const char **reason) {
    if (v->capacity < 0) {
        *reason = "negative capacity";
        return false;
    }
    if (v->cardinality < 0) {
        *reason = "negative cardinality";
        return false;
    }
    if (v->cardinality > v->capacity) {
        *reason = "cardinality exceeds capacity";
        return false;
    }
    if (v->cardinality > DEFAULT_MAX_SIZE) {
        *reason = "cardinality exceeds DEFAULT_MAX_SIZE";
        return false;
    }
    if (v->cardinality == 0) {
        *reason = "zero cardinality";
        return false;
    }

    if (v->array == NULL) {
        *reason = "NULL array pointer";
        return false;
    }
    uint16_t prev = v->array[0];
    for (int i = 1; i < v->cardinality; ++i) {
        if (v->array[i] <= prev) {
            *reason = "array elements not strictly increasing";
            return false;
        }
        prev = v->array[i];
    }

    return true;
}

/* Compute the number of runs */
int32_t array_container_number_of_runs(const array_container_t *ac) {
    // Can SIMD work here?
    int32_t nr_runs = 0;
    int32_t prev = -2;
    for (const uint16_t *p = ac->array; p != ac->array + ac->cardinality; ++p) {
        if (*p != prev + 1) nr_runs++;
        prev = *p;
    }
    return nr_runs;
}

/**
 * Writes the underlying array to buf, outputs how many bytes were written.
 * The number of bytes written should be
 * array_container_size_in_bytes(container).
 *
 */
int32_t array_container_write(const array_container_t *container, char *buf) {
    memcpy(buf, container->array, container->cardinality * sizeof(uint16_t));
    return array_container_size_in_bytes(container);
}

bool array_container_is_subset(const array_container_t *container1,
                               const array_container_t *container2) {
    if (container1->cardinality > container2->cardinality) {
        return false;
    }
    int i1 = 0, i2 = 0;
    while (i1 < container1->cardinality && i2 < container2->cardinality) {
        if (container1->array[i1] == container2->array[i2]) {
            i1++;
            i2++;
        } else if (container1->array[i1] > container2->array[i2]) {
            i2++;
        } else {  // container1->array[i1] < container2->array[i2]
            return false;
        }
    }
    if (i1 == container1->cardinality) {
        return true;
    } else {
        return false;
    }
}

int32_t array_container_read(int32_t cardinality, array_container_t *container,
                             const char *buf) {
    if (container->capacity < cardinality) {
        array_container_grow(container, cardinality, false);
    }
    container->cardinality = cardinality;
    memcpy(container->array, buf, container->cardinality * sizeof(uint16_t));

    return array_container_size_in_bytes(container);
}

bool array_container_iterate(const array_container_t *cont, uint32_t base,
                             roaring_iterator iterator, void *ptr) {
    for (int i = 0; i < cont->cardinality; i++)
        if (!iterator(cont->array[i] + base, ptr)) return false;
    return true;
}

bool array_container_iterate64(const array_container_t *cont, uint32_t base,
                               roaring_iterator64 iterator, uint64_t high_bits,
                               void *ptr) {
    for (int i = 0; i < cont->cardinality; i++)
        if (!iterator(high_bits | (uint64_t)(cont->array[i] + base), ptr))
            return false;
    return true;
}

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace internal {
#endif
/* end file src/containers/array.c */
/* begin file src/containers/bitset.c */
/*
 * bitset.c
 *
 */
#include <assert.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>


#if CROARING_IS_X64
#ifndef CROARING_COMPILER_SUPPORTS_AVX512
#error "CROARING_COMPILER_SUPPORTS_AVX512 needs to be defined."
#endif  // CROARING_COMPILER_SUPPORTS_AVX512
#endif

#if defined(__GNUC__) && !defined(__clang__)
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wuninitialized"
#pragma GCC diagnostic ignored "-Wmaybe-uninitialized"
#endif
#ifdef __cplusplus
extern "C" {
namespace roaring {
namespace internal {
#endif

extern inline int bitset_container_cardinality(
    const bitset_container_t *bitset);
extern inline void bitset_container_set(bitset_container_t *bitset,
                                        uint16_t pos);
// unused at this time:
// extern inline void bitset_container_unset(bitset_container_t *bitset,
// uint16_t pos);
extern inline bool bitset_container_get(const bitset_container_t *bitset,
                                        uint16_t pos);
extern inline int32_t bitset_container_serialized_size_in_bytes(void);
extern inline bool bitset_container_add(bitset_container_t *bitset,
                                        uint16_t pos);
extern inline bool bitset_container_remove(bitset_container_t *bitset,
                                           uint16_t pos);
extern inline bool bitset_container_contains(const bitset_container_t *bitset,
                                             uint16_t pos);

void bitset_container_clear(bitset_container_t *bitset) {
    memset(bitset->words, 0, sizeof(uint64_t) * BITSET_CONTAINER_SIZE_IN_WORDS);
    bitset->cardinality = 0;
}

void bitset_container_set_all(bitset_container_t *bitset) {
    memset(bitset->words, INT64_C(-1),
           sizeof(uint64_t) * BITSET_CONTAINER_SIZE_IN_WORDS);
    bitset->cardinality = (1 << 16);
}

/* Create a new bitset. Return NULL in case of failure. */
bitset_container_t *bitset_container_create(void) {
    bitset_container_t *bitset =
        (bitset_container_t *)roaring_malloc(sizeof(bitset_container_t));

    if (!bitset) {
        return NULL;
    }

    size_t align_size = 32;
#if CROARING_IS_X64
    int support = croaring_hardware_support();
    if (support & ROARING_SUPPORTS_AVX512) {
        // sizeof(__m512i) == 64
        align_size = 64;
    } else {
        // sizeof(__m256i) == 32
        align_size = 32;
    }
#endif
    bitset->words = (uint64_t *)roaring_aligned_malloc(
        align_size, sizeof(uint64_t) * BITSET_CONTAINER_SIZE_IN_WORDS);
    if (!bitset->words) {
        roaring_free(bitset);
        return NULL;
    }
    bitset_container_clear(bitset);
    return bitset;
}

/* Copy one container into another. We assume that they are distinct. */
void bitset_container_copy(const bitset_container_t *source,
                           bitset_container_t *dest) {
    dest->cardinality = source->cardinality;
    memcpy(dest->words, source->words,
           sizeof(uint64_t) * BITSET_CONTAINER_SIZE_IN_WORDS);
}

void bitset_container_add_from_range(bitset_container_t *bitset, uint32_t min,
                                     uint32_t max, uint16_t step) {
    if (step == 0) return;   // refuse to crash
    if ((64 % step) == 0) {  // step divides 64
        uint64_t mask = 0;   // construct the repeated mask
        for (uint32_t value = (min % step); value < 64; value += step) {
            mask |= ((uint64_t)1 << value);
        }
        uint32_t firstword = min / 64;
        uint32_t endword = (max - 1) / 64;
        bitset->cardinality = (max - min + step - 1) / step;
        if (firstword == endword) {
            bitset->words[firstword] |=
                mask & (((~UINT64_C(0)) << (min % 64)) &
                        ((~UINT64_C(0)) >> ((~max + 1) % 64)));
            return;
        }
        bitset->words[firstword] = mask & ((~UINT64_C(0)) << (min % 64));
        for (uint32_t i = firstword + 1; i < endword; i++)
            bitset->words[i] = mask;
        bitset->words[endword] = mask & ((~UINT64_C(0)) >> ((~max + 1) % 64));
    } else {
        for (uint32_t value = min; value < max; value += step) {
            bitset_container_add(bitset, value);
        }
    }
}

/* Free memory. */
void bitset_container_free(bitset_container_t *bitset) {
    if (bitset == NULL) return;
    roaring_aligned_free(bitset->words);
    roaring_free(bitset);
}

/* duplicate container. */
CROARING_ALLOW_UNALIGNED
bitset_container_t *bitset_container_clone(const bitset_container_t *src) {
    bitset_container_t *bitset =
        (bitset_container_t *)roaring_malloc(sizeof(bitset_container_t));

    if (!bitset) {
        return NULL;
    }

    size_t align_size = 32;
#if CROARING_IS_X64
    if (croaring_hardware_support() & ROARING_SUPPORTS_AVX512) {
        // sizeof(__m512i) == 64
        align_size = 64;
    } else {
        // sizeof(__m256i) == 32
        align_size = 32;
    }
#endif
    bitset->words = (uint64_t *)roaring_aligned_malloc(
        align_size, sizeof(uint64_t) * BITSET_CONTAINER_SIZE_IN_WORDS);
    if (!bitset->words) {
        roaring_free(bitset);
        return NULL;
    }
    bitset->cardinality = src->cardinality;
    memcpy(bitset->words, src->words,
           sizeof(uint64_t) * BITSET_CONTAINER_SIZE_IN_WORDS);
    return bitset;
}

void bitset_container_offset(const bitset_container_t *c, container_t **loc,
                             container_t **hic, uint16_t offset) {
    bitset_container_t *bc = NULL;
    uint64_t val;
    uint16_t b, i, end;

    b = offset >> 6;
    i = offset % 64;
    end = 1024 - b;

    if (loc != NULL) {
        bc = bitset_container_create();
        if (i == 0) {
            memcpy(bc->words + b, c->words, 8 * end);
        } else {
            bc->words[b] = c->words[0] << i;
            for (uint32_t k = 1; k < end; ++k) {
                val = c->words[k] << i;
                val |= c->words[k - 1] >> (64 - i);
                bc->words[b + k] = val;
            }
        }

        bc->cardinality = bitset_container_compute_cardinality(bc);
        if (bc->cardinality != 0) {
            *loc = bc;
        }
        if (bc->cardinality == c->cardinality) {
            return;
        }
    }

    if (hic == NULL) {
        // Both hic and loc can't be NULL, so bc is never NULL here
        if (bc->cardinality == 0) {
            bitset_container_free(bc);
        }
        return;
    }

    if (bc == NULL || bc->cardinality != 0) {
        bc = bitset_container_create();
    }

    if (i == 0) {
        memcpy(bc->words, c->words + end, 8 * b);
    } else {
        for (uint32_t k = end; k < 1024; ++k) {
            val = c->words[k] << i;
            val |= c->words[k - 1] >> (64 - i);
            bc->words[k - end] = val;
        }
        bc->words[b] = c->words[1023] >> (64 - i);
    }

    bc->cardinality = bitset_container_compute_cardinality(bc);
    if (bc->cardinality == 0) {
        bitset_container_free(bc);
        return;
    }
    *hic = bc;
}

void bitset_container_set_range(bitset_container_t *bitset, uint32_t begin,
                                uint32_t end) {
    bitset_set_range(bitset->words, begin, end);
    bitset->cardinality =
        bitset_container_compute_cardinality(bitset);  // could be smarter
}

bool bitset_container_intersect(const bitset_container_t *src_1,
                                const bitset_container_t *src_2) {
    // could vectorize, but this is probably already quite fast in practice
    const uint64_t *__restrict__ words_1 = src_1->words;
    const uint64_t *__restrict__ words_2 = src_2->words;
    for (int i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; i++) {
        if ((words_1[i] & words_2[i]) != 0) return true;
    }
    return false;
}

#if CROARING_IS_X64
#ifndef CROARING_WORDS_IN_AVX2_REG
#define CROARING_WORDS_IN_AVX2_REG sizeof(__m256i) / sizeof(uint64_t)
#endif
#ifndef WORDS_IN_AVX512_REG
#define WORDS_IN_AVX512_REG sizeof(__m512i) / sizeof(uint64_t)
#endif
/* Get the number of bits set (force computation) */
static inline int _scalar_bitset_container_compute_cardinality(
    const bitset_container_t *bitset) {
    const uint64_t *words = bitset->words;
    int32_t sum = 0;
    for (int i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; i += 4) {
        sum += roaring_hamming(words[i]);
        sum += roaring_hamming(words[i + 1]);
        sum += roaring_hamming(words[i + 2]);
        sum += roaring_hamming(words[i + 3]);
    }
    return sum;
}
/* Get the number of bits set (force computation) */
int bitset_container_compute_cardinality(const bitset_container_t *bitset) {
    int support = croaring_hardware_support();
#if CROARING_COMPILER_SUPPORTS_AVX512
    if (support & ROARING_SUPPORTS_AVX512) {
        return (int)avx512_vpopcount(
            (const __m512i *)bitset->words,
            BITSET_CONTAINER_SIZE_IN_WORDS / (WORDS_IN_AVX512_REG));
    } else
#endif  // CROARING_COMPILER_SUPPORTS_AVX512
        if (support & ROARING_SUPPORTS_AVX2) {
            return (int)avx2_harley_seal_popcount256(
                (const __m256i *)bitset->words,
                BITSET_CONTAINER_SIZE_IN_WORDS / (CROARING_WORDS_IN_AVX2_REG));
        } else {
            return _scalar_bitset_container_compute_cardinality(bitset);
        }
}

#elif defined(CROARING_USENEON)
int bitset_container_compute_cardinality(const bitset_container_t *bitset) {
    uint16x8_t n0 = vdupq_n_u16(0);
    uint16x8_t n1 = vdupq_n_u16(0);
    uint16x8_t n2 = vdupq_n_u16(0);
    uint16x8_t n3 = vdupq_n_u16(0);
    for (size_t i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; i += 8) {
        uint64x2_t c0 = vld1q_u64(&bitset->words[i + 0]);
        n0 = vaddq_u16(n0, vpaddlq_u8(vcntq_u8(vreinterpretq_u8_u64(c0))));
        uint64x2_t c1 = vld1q_u64(&bitset->words[i + 2]);
        n1 = vaddq_u16(n1, vpaddlq_u8(vcntq_u8(vreinterpretq_u8_u64(c1))));
        uint64x2_t c2 = vld1q_u64(&bitset->words[i + 4]);
        n2 = vaddq_u16(n2, vpaddlq_u8(vcntq_u8(vreinterpretq_u8_u64(c2))));
        uint64x2_t c3 = vld1q_u64(&bitset->words[i + 6]);
        n3 = vaddq_u16(n3, vpaddlq_u8(vcntq_u8(vreinterpretq_u8_u64(c3))));
    }
    uint64x2_t n = vdupq_n_u64(0);
    n = vaddq_u64(n, vpaddlq_u32(vpaddlq_u16(n0)));
    n = vaddq_u64(n, vpaddlq_u32(vpaddlq_u16(n1)));
    n = vaddq_u64(n, vpaddlq_u32(vpaddlq_u16(n2)));
    n = vaddq_u64(n, vpaddlq_u32(vpaddlq_u16(n3)));
    return vgetq_lane_u64(n, 0) + vgetq_lane_u64(n, 1);
}

#else  // CROARING_IS_X64

/* Get the number of bits set (force computation) */
int bitset_container_compute_cardinality(const bitset_container_t *bitset) {
    const uint64_t *words = bitset->words;
    int32_t sum = 0;
    for (int i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; i += 4) {
        sum += roaring_hamming(words[i]);
        sum += roaring_hamming(words[i + 1]);
        sum += roaring_hamming(words[i + 2]);
        sum += roaring_hamming(words[i + 3]);
    }
    return sum;
}

#endif  // CROARING_IS_X64

#if CROARING_IS_X64

#define CROARING_BITSET_CONTAINER_FN_REPEAT 8
#ifndef WORDS_IN_AVX512_REG
#define WORDS_IN_AVX512_REG sizeof(__m512i) / sizeof(uint64_t)
#endif  // WORDS_IN_AVX512_REG

/* Computes a binary operation (eg union) on bitset1 and bitset2 and write the
   result to bitsetout */
// clang-format off
#define CROARING_AVX512_BITSET_CONTAINER_FN1(before, opname, opsymbol, avx_intrinsic,   \
                                neon_intrinsic, after)                         \
  static inline int _avx512_bitset_container_##opname##_nocard(                \
      const bitset_container_t *src_1, const bitset_container_t *src_2,        \
      bitset_container_t *dst) {                                               \
    const uint8_t * __restrict__ words_1 = (const uint8_t *)src_1->words;      \
    const uint8_t * __restrict__ words_2 = (const uint8_t *)src_2->words;      \
    /* not using the blocking optimization for some reason*/                   \
    uint8_t *out = (uint8_t*)dst->words;                                       \
    const int innerloop = 8;                                                   \
    for (size_t i = 0;                                                         \
        i < BITSET_CONTAINER_SIZE_IN_WORDS / (WORDS_IN_AVX512_REG);            \
                                                         i+=innerloop) {       \
        __m512i A1, A2, AO;                                                    \
        A1 = _mm512_loadu_si512((const __m512i *)(words_1));                   \
        A2 = _mm512_loadu_si512((const __m512i *)(words_2));                   \
        AO = avx_intrinsic(A2, A1);                                            \
        _mm512_storeu_si512((__m512i *)out, AO);                               \
        A1 = _mm512_loadu_si512((const __m512i *)(words_1 + 64));              \
        A2 = _mm512_loadu_si512((const __m512i *)(words_2 + 64));              \
        AO = avx_intrinsic(A2, A1);                                            \
        _mm512_storeu_si512((__m512i *)(out+64), AO);                          \
        A1 = _mm512_loadu_si512((const __m512i *)(words_1 + 128));             \
        A2 = _mm512_loadu_si512((const __m512i *)(words_2 + 128));             \
        AO = avx_intrinsic(A2, A1);                                            \
        _mm512_storeu_si512((__m512i *)(out+128), AO);                         \
        A1 = _mm512_loadu_si512((const __m512i *)(words_1 + 192));             \
        A2 = _mm512_loadu_si512((const __m512i *)(words_2 + 192));             \
        AO = avx_intrinsic(A2, A1);                                            \
        _mm512_storeu_si512((__m512i *)(out+192), AO);                         \
        A1 = _mm512_loadu_si512((const __m512i *)(words_1 + 256));             \
        A2 = _mm512_loadu_si512((const __m512i *)(words_2 + 256));             \
        AO = avx_intrinsic(A2, A1);                                            \
        _mm512_storeu_si512((__m512i *)(out+256), AO);                         \
        A1 = _mm512_loadu_si512((const __m512i *)(words_1 + 320));             \
        A2 = _mm512_loadu_si512((const __m512i *)(words_2 + 320));             \
        AO = avx_intrinsic(A2, A1);                                            \
        _mm512_storeu_si512((__m512i *)(out+320), AO);                         \
        A1 = _mm512_loadu_si512((const __m512i *)(words_1 + 384));             \
        A2 = _mm512_loadu_si512((const __m512i *)(words_2 + 384));             \
        AO = avx_intrinsic(A2, A1);                                            \
        _mm512_storeu_si512((__m512i *)(out+384), AO);                         \
        A1 = _mm512_loadu_si512((const __m512i *)(words_1 + 448));             \
        A2 = _mm512_loadu_si512((const __m512i *)(words_2 + 448));             \
        AO = avx_intrinsic(A2, A1);                                     \
        _mm512_storeu_si512((__m512i *)(out+448), AO);                  \
        out+=512;                                                       \
        words_1 += 512;                                                 \
        words_2 += 512;                                                 \
    }                                                                   \
    dst->cardinality = BITSET_UNKNOWN_CARDINALITY;                      \
    return dst->cardinality;                                            \
  }

#define CROARING_AVX512_BITSET_CONTAINER_FN2(before, opname, opsymbol, avx_intrinsic,           \
                                neon_intrinsic, after)                                 \
  /* next, a version that updates cardinality*/                                        \
  static inline int _avx512_bitset_container_##opname(const bitset_container_t *src_1, \
                                      const bitset_container_t *src_2,                 \
                                      bitset_container_t *dst) {                       \
    const __m512i * __restrict__ words_1 = (const __m512i *) src_1->words;             \
    const __m512i * __restrict__ words_2 = (const __m512i *) src_2->words;             \
    __m512i *out = (__m512i *) dst->words;                                             \
    dst->cardinality = (int32_t)avx512_harley_seal_popcount512andstore_##opname(words_2,\
				words_1, out,BITSET_CONTAINER_SIZE_IN_WORDS / (WORDS_IN_AVX512_REG));           \
    return dst->cardinality;                                                            \
  }

#define CROARING_AVX512_BITSET_CONTAINER_FN3(before, opname, opsymbol, avx_intrinsic,            \
                                neon_intrinsic, after)                                  \
  /* next, a version that just computes the cardinality*/                               \
  static inline int _avx512_bitset_container_##opname##_justcard(                       \
      const bitset_container_t *src_1, const bitset_container_t *src_2) {               \
    const __m512i * __restrict__ data1 = (const __m512i *) src_1->words;                \
    const __m512i * __restrict__ data2 = (const __m512i *) src_2->words;                \
    return (int)avx512_harley_seal_popcount512_##opname(data2,                          \
				data1, BITSET_CONTAINER_SIZE_IN_WORDS / (WORDS_IN_AVX512_REG));                 \
  }


// we duplicate the function because other containers use the "or" term, makes API more consistent
#if CROARING_COMPILER_SUPPORTS_AVX512
CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN1(CROARING_TARGET_AVX512, or,    |, _mm512_or_si512, vorrq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512
CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN1(CROARING_TARGET_AVX512, union, |, _mm512_or_si512, vorrq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512

// we duplicate the function because other containers use the "intersection" term, makes API more consistent
CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN1(CROARING_TARGET_AVX512, and,          &, _mm512_and_si512, vandq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512
CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN1(CROARING_TARGET_AVX512, intersection, &, _mm512_and_si512, vandq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512

CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN1(CROARING_TARGET_AVX512, xor,    ^,  _mm512_xor_si512,    veorq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512
CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN1(CROARING_TARGET_AVX512, andnot, &~, _mm512_andnot_si512, vbicq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512

// we duplicate the function because other containers use the "or" term, makes API more consistent
CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN2(CROARING_TARGET_AVX512, or,    |, _mm512_or_si512, vorrq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512
CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN2(CROARING_TARGET_AVX512, union, |, _mm512_or_si512, vorrq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512

// we duplicate the function because other containers use the "intersection" term, makes API more consistent
CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN2(CROARING_TARGET_AVX512, and,          &, _mm512_and_si512, vandq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512
CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN2(CROARING_TARGET_AVX512, intersection, &, _mm512_and_si512, vandq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512

CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN2(CROARING_TARGET_AVX512, xor,    ^,  _mm512_xor_si512,    veorq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512
CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN2(CROARING_TARGET_AVX512, andnot, &~, _mm512_andnot_si512, vbicq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512

// we duplicate the function because other containers use the "or" term, makes API more consistent
CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN3(CROARING_TARGET_AVX512, or,    |, _mm512_or_si512, vorrq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512
CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN3(CROARING_TARGET_AVX512, union, |, _mm512_or_si512, vorrq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512

// we duplicate the function because other containers use the "intersection" term, makes API more consistent
CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN3(CROARING_TARGET_AVX512, and,          &, _mm512_and_si512, vandq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512
CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN3(CROARING_TARGET_AVX512, intersection, &, _mm512_and_si512, vandq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512

CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN3(CROARING_TARGET_AVX512, xor,    ^,  _mm512_xor_si512,    veorq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512
CROARING_TARGET_AVX512
CROARING_AVX512_BITSET_CONTAINER_FN3(CROARING_TARGET_AVX512, andnot, &~, _mm512_andnot_si512, vbicq_u64, CROARING_UNTARGET_AVX512)
CROARING_UNTARGET_AVX512
#endif // CROARING_COMPILER_SUPPORTS_AVX512

#ifndef CROARING_WORDS_IN_AVX2_REG
#define CROARING_WORDS_IN_AVX2_REG sizeof(__m256i) / sizeof(uint64_t)
#endif // CROARING_WORDS_IN_AVX2_REG
#define CROARING_LOOP_SIZE                    \
    BITSET_CONTAINER_SIZE_IN_WORDS / \
        ((CROARING_WORDS_IN_AVX2_REG)*CROARING_BITSET_CONTAINER_FN_REPEAT)

/* Computes a binary operation (eg union) on bitset1 and bitset2 and write the
   result to bitsetout */
// clang-format off
#define CROARING_AVX_BITSET_CONTAINER_FN1(before, opname, opsymbol, avx_intrinsic,               \
                                neon_intrinsic, after)                                \
  static inline int _avx2_bitset_container_##opname##_nocard(                                \
      const bitset_container_t *src_1, const bitset_container_t *src_2,        \
      bitset_container_t *dst) {                                               \
    const uint8_t *__restrict__ words_1 = (const uint8_t *)src_1->words;       \
    const uint8_t *__restrict__ words_2 = (const uint8_t *)src_2->words;       \
    /* not using the blocking optimization for some reason*/                   \
    uint8_t *out = (uint8_t *)dst->words;                                      \
    const int innerloop = 8;                                                   \
    for (size_t i = 0;                                                         \
         i < BITSET_CONTAINER_SIZE_IN_WORDS / (CROARING_WORDS_IN_AVX2_REG);             \
         i += innerloop) {                                                     \
      __m256i A1, A2, AO;                                                      \
      A1 = _mm256_lddqu_si256((const __m256i *)(words_1));                     \
      A2 = _mm256_lddqu_si256((const __m256i *)(words_2));                     \
      AO = avx_intrinsic(A2, A1);                                              \
      _mm256_storeu_si256((__m256i *)out, AO);                                 \
      A1 = _mm256_lddqu_si256((const __m256i *)(words_1 + 32));                \
      A2 = _mm256_lddqu_si256((const __m256i *)(words_2 + 32));                \
      AO = avx_intrinsic(A2, A1);                                              \
      _mm256_storeu_si256((__m256i *)(out + 32), AO);                          \
      A1 = _mm256_lddqu_si256((const __m256i *)(words_1 + 64));                \
      A2 = _mm256_lddqu_si256((const __m256i *)(words_2 + 64));                \
      AO = avx_intrinsic(A2, A1);                                              \
      _mm256_storeu_si256((__m256i *)(out + 64), AO);                          \
      A1 = _mm256_lddqu_si256((const __m256i *)(words_1 + 96));                \
      A2 = _mm256_lddqu_si256((const __m256i *)(words_2 + 96));                \
      AO = avx_intrinsic(A2, A1);                                              \
      _mm256_storeu_si256((__m256i *)(out + 96), AO);                          \
      A1 = _mm256_lddqu_si256((const __m256i *)(words_1 + 128));               \
      A2 = _mm256_lddqu_si256((const __m256i *)(words_2 + 128));               \
      AO = avx_intrinsic(A2, A1);                                              \
      _mm256_storeu_si256((__m256i *)(out + 128), AO);                         \
      A1 = _mm256_lddqu_si256((const __m256i *)(words_1 + 160));               \
      A2 = _mm256_lddqu_si256((const __m256i *)(words_2 + 160));               \
      AO = avx_intrinsic(A2, A1);                                              \
      _mm256_storeu_si256((__m256i *)(out + 160), AO);                         \
      A1 = _mm256_lddqu_si256((const __m256i *)(words_1 + 192));               \
      A2 = _mm256_lddqu_si256((const __m256i *)(words_2 + 192));               \
      AO = avx_intrinsic(A2, A1);                                              \
      _mm256_storeu_si256((__m256i *)(out + 192), AO);                         \
      A1 = _mm256_lddqu_si256((const __m256i *)(words_1 + 224));               \
      A2 = _mm256_lddqu_si256((const __m256i *)(words_2 + 224));               \
      AO = avx_intrinsic(A2, A1);                                              \
      _mm256_storeu_si256((__m256i *)(out + 224), AO);                         \
      out += 256;                                                              \
      words_1 += 256;                                                          \
      words_2 += 256;                                                          \
    }                                                                          \
    dst->cardinality = BITSET_UNKNOWN_CARDINALITY;                             \
    return dst->cardinality;                                                   \
  }

#define CROARING_AVX_BITSET_CONTAINER_FN2(before, opname, opsymbol, avx_intrinsic,               \
                                neon_intrinsic, after)                                \
  /* next, a version that updates cardinality*/                                \
  static inline int _avx2_bitset_container_##opname(const bitset_container_t *src_1,         \
                                      const bitset_container_t *src_2,         \
                                      bitset_container_t *dst) {               \
    const __m256i *__restrict__ words_1 = (const __m256i *)src_1->words;       \
    const __m256i *__restrict__ words_2 = (const __m256i *)src_2->words;       \
    __m256i *out = (__m256i *)dst->words;                                      \
    dst->cardinality = (int32_t)avx2_harley_seal_popcount256andstore_##opname( \
        words_2, words_1, out,                                                 \
        BITSET_CONTAINER_SIZE_IN_WORDS / (CROARING_WORDS_IN_AVX2_REG));                 \
    return dst->cardinality;                                                   \
  }                                                                            \

#define CROARING_AVX_BITSET_CONTAINER_FN3(before, opname, opsymbol, avx_intrinsic,               \
                                neon_intrinsic, after)                                \
  /* next, a version that just computes the cardinality*/                      \
  static inline int _avx2_bitset_container_##opname##_justcard(                              \
      const bitset_container_t *src_1, const bitset_container_t *src_2) {      \
    const __m256i *__restrict__ data1 = (const __m256i *)src_1->words;         \
    const __m256i *__restrict__ data2 = (const __m256i *)src_2->words;         \
    return (int)avx2_harley_seal_popcount256_##opname(                         \
        data2, data1, BITSET_CONTAINER_SIZE_IN_WORDS / (CROARING_WORDS_IN_AVX2_REG));   \
  }


// we duplicate the function because other containers use the "or" term, makes API more consistent
CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN1(CROARING_TARGET_AVX2, or,    |, _mm256_or_si256, vorrq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2
CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN1(CROARING_TARGET_AVX2, union, |, _mm256_or_si256, vorrq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2

// we duplicate the function because other containers use the "intersection" term, makes API more consistent
CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN1(CROARING_TARGET_AVX2, and,          &, _mm256_and_si256, vandq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2
CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN1(CROARING_TARGET_AVX2, intersection, &, _mm256_and_si256, vandq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2

CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN1(CROARING_TARGET_AVX2, xor,    ^,  _mm256_xor_si256,    veorq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2
CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN1(CROARING_TARGET_AVX2, andnot, &~, _mm256_andnot_si256, vbicq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2

// we duplicate the function because other containers use the "or" term, makes API more consistent
CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN2(CROARING_TARGET_AVX2, or,    |, _mm256_or_si256, vorrq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2
CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN2(CROARING_TARGET_AVX2, union, |, _mm256_or_si256, vorrq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2

// we duplicate the function because other containers use the "intersection" term, makes API more consistent
CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN2(CROARING_TARGET_AVX2, and,          &, _mm256_and_si256, vandq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2
CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN2(CROARING_TARGET_AVX2, intersection, &, _mm256_and_si256, vandq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2

CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN2(CROARING_TARGET_AVX2, xor,    ^,  _mm256_xor_si256,    veorq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2
CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN2(CROARING_TARGET_AVX2, andnot, &~, _mm256_andnot_si256, vbicq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2

// we duplicate the function because other containers use the "or" term, makes API more consistent
CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN3(CROARING_TARGET_AVX2, or,    |, _mm256_or_si256, vorrq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2
CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN3(CROARING_TARGET_AVX2, union, |, _mm256_or_si256, vorrq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2

// we duplicate the function because other containers use the "intersection" term, makes API more consistent
CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN3(CROARING_TARGET_AVX2, and,          &, _mm256_and_si256, vandq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2
CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN3(CROARING_TARGET_AVX2, intersection, &, _mm256_and_si256, vandq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2

CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN3(CROARING_TARGET_AVX2, xor,    ^,  _mm256_xor_si256,    veorq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2
CROARING_TARGET_AVX2
CROARING_AVX_BITSET_CONTAINER_FN3(CROARING_TARGET_AVX2, andnot, &~, _mm256_andnot_si256, vbicq_u64, CROARING_UNTARGET_AVX2)
CROARING_UNTARGET_AVX2


#define SCALAR_BITSET_CONTAINER_FN(opname, opsymbol, avx_intrinsic,            \
                                   neon_intrinsic)                             \
  static inline int _scalar_bitset_container_##opname(const bitset_container_t *src_1,       \
                                        const bitset_container_t *src_2,       \
                                        bitset_container_t *dst) {             \
    const uint64_t *__restrict__ words_1 = src_1->words;                       \
    const uint64_t *__restrict__ words_2 = src_2->words;                       \
    uint64_t *out = dst->words;                                                \
    int32_t sum = 0;                                                           \
    for (size_t i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; i += 2) {           \
      const uint64_t word_1 = (words_1[i])opsymbol(words_2[i]),                \
                     word_2 = (words_1[i + 1]) opsymbol(words_2[i + 1]);       \
      out[i] = word_1;                                                         \
      out[i + 1] = word_2;                                                     \
      sum += roaring_hamming(word_1);                                                  \
      sum += roaring_hamming(word_2);                                                  \
    }                                                                          \
    dst->cardinality = sum;                                                    \
    return dst->cardinality;                                                   \
  }                                                                            \
  static inline int _scalar_bitset_container_##opname##_nocard(                              \
      const bitset_container_t *src_1, const bitset_container_t *src_2,        \
      bitset_container_t *dst) {                                               \
    const uint64_t *__restrict__ words_1 = src_1->words;                       \
    const uint64_t *__restrict__ words_2 = src_2->words;                       \
    uint64_t *out = dst->words;                                                \
    for (size_t i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; i++) {              \
      out[i] = (words_1[i])opsymbol(words_2[i]);                               \
    }                                                                          \
    dst->cardinality = BITSET_UNKNOWN_CARDINALITY;                             \
    return dst->cardinality;                                                   \
  }                                                                            \
  static inline int _scalar_bitset_container_##opname##_justcard(                            \
      const bitset_container_t *src_1, const bitset_container_t *src_2) {      \
    const uint64_t *__restrict__ words_1 = src_1->words;                       \
    const uint64_t *__restrict__ words_2 = src_2->words;                       \
    int32_t sum = 0;                                                           \
    for (size_t i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; i += 2) {           \
      const uint64_t word_1 = (words_1[i])opsymbol(words_2[i]),                \
                     word_2 = (words_1[i + 1]) opsymbol(words_2[i + 1]);       \
      sum += roaring_hamming(word_1);                                                  \
      sum += roaring_hamming(word_2);                                                  \
    }                                                                          \
    return sum;                                                                \
  }

// we duplicate the function because other containers use the "or" term, makes API more consistent
SCALAR_BITSET_CONTAINER_FN(or,    |, _mm256_or_si256, vorrq_u64)
SCALAR_BITSET_CONTAINER_FN(union, |, _mm256_or_si256, vorrq_u64)

// we duplicate the function because other containers use the "intersection" term, makes API more consistent
SCALAR_BITSET_CONTAINER_FN(and,          &, _mm256_and_si256, vandq_u64)
SCALAR_BITSET_CONTAINER_FN(intersection, &, _mm256_and_si256, vandq_u64)

SCALAR_BITSET_CONTAINER_FN(xor,    ^,  _mm256_xor_si256,    veorq_u64)
SCALAR_BITSET_CONTAINER_FN(andnot, &~, _mm256_andnot_si256, vbicq_u64)

#if CROARING_COMPILER_SUPPORTS_AVX512
#define CROARING_BITSET_CONTAINER_FN(opname, opsymbol, avx_intrinsic, neon_intrinsic)   \
  int bitset_container_##opname(const bitset_container_t *src_1,               \
                                const bitset_container_t *src_2,               \
                                bitset_container_t *dst) {                     \
    int support = croaring_hardware_support();                                 \
    if ( support & ROARING_SUPPORTS_AVX512 ) {                                 \
      return _avx512_bitset_container_##opname(src_1, src_2, dst);             \
    }                                                                          \
    else if ( support & ROARING_SUPPORTS_AVX2 ) {                              \
      return _avx2_bitset_container_##opname(src_1, src_2, dst);               \
    } else {                                                                   \
      return _scalar_bitset_container_##opname(src_1, src_2, dst);             \
    }                                                                          \
  }                                                                            \
  int bitset_container_##opname##_nocard(const bitset_container_t *src_1,      \
                                         const bitset_container_t *src_2,      \
                                         bitset_container_t *dst) {            \
    int support = croaring_hardware_support();                                 \
    if ( support & ROARING_SUPPORTS_AVX512 ) {                                 \
      return _avx512_bitset_container_##opname##_nocard(src_1, src_2, dst);    \
    }                                                                          \
    else if ( support & ROARING_SUPPORTS_AVX2 ) {                              \
      return _avx2_bitset_container_##opname##_nocard(src_1, src_2, dst);      \
    } else {                                                                   \
      return _scalar_bitset_container_##opname##_nocard(src_1, src_2, dst);    \
    }                                                                          \
  }                                                                            \
  int bitset_container_##opname##_justcard(const bitset_container_t *src_1,    \
                                           const bitset_container_t *src_2) {  \
     int support = croaring_hardware_support();                                \
    if ( support & ROARING_SUPPORTS_AVX512 ) {                                 \
      return _avx512_bitset_container_##opname##_justcard(src_1, src_2);       \
    }                                                                          \
    else if ( support & ROARING_SUPPORTS_AVX2 ) {                              \
      return _avx2_bitset_container_##opname##_justcard(src_1, src_2);         \
    } else {                                                                   \
      return _scalar_bitset_container_##opname##_justcard(src_1, src_2);       \
    }                                                                          \
  }

#else // CROARING_COMPILER_SUPPORTS_AVX512


#define CROARING_BITSET_CONTAINER_FN(opname, opsymbol, avx_intrinsic, neon_intrinsic)   \
  int bitset_container_##opname(const bitset_container_t *src_1,               \
                                const bitset_container_t *src_2,               \
                                bitset_container_t *dst) {                     \
    if ( croaring_hardware_support() & ROARING_SUPPORTS_AVX2 ) {               \
      return _avx2_bitset_container_##opname(src_1, src_2, dst);               \
    } else {                                                                   \
      return _scalar_bitset_container_##opname(src_1, src_2, dst);             \
    }                                                                          \
  }                                                                            \
  int bitset_container_##opname##_nocard(const bitset_container_t *src_1,      \
                                         const bitset_container_t *src_2,      \
                                         bitset_container_t *dst) {            \
    if ( croaring_hardware_support() & ROARING_SUPPORTS_AVX2 ) {               \
      return _avx2_bitset_container_##opname##_nocard(src_1, src_2, dst);      \
    } else {                                                                   \
      return _scalar_bitset_container_##opname##_nocard(src_1, src_2, dst);    \
    }                                                                          \
  }                                                                            \
  int bitset_container_##opname##_justcard(const bitset_container_t *src_1,    \
                                           const bitset_container_t *src_2) {  \
    if ( croaring_hardware_support() & ROARING_SUPPORTS_AVX2 ) {               \
      return _avx2_bitset_container_##opname##_justcard(src_1, src_2);         \
    } else {                                                                   \
      return _scalar_bitset_container_##opname##_justcard(src_1, src_2);       \
    }                                                                          \
  }

#endif //  CROARING_COMPILER_SUPPORTS_AVX512

#elif defined(CROARING_USENEON)

#define CROARING_BITSET_CONTAINER_FN(opname, opsymbol, avx_intrinsic, neon_intrinsic)  \
int bitset_container_##opname(const bitset_container_t *src_1,                \
                              const bitset_container_t *src_2,                \
                              bitset_container_t *dst) {                      \
    const uint64_t * __restrict__ words_1 = src_1->words;                     \
    const uint64_t * __restrict__ words_2 = src_2->words;                     \
    uint64_t *out = dst->words;                                               \
    uint16x8_t n0 = vdupq_n_u16(0);                                           \
    uint16x8_t n1 = vdupq_n_u16(0);                                           \
    uint16x8_t n2 = vdupq_n_u16(0);                                           \
    uint16x8_t n3 = vdupq_n_u16(0);                                           \
    for (size_t i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; i += 8) {          \
        uint64x2_t c0 = neon_intrinsic(vld1q_u64(&words_1[i + 0]),            \
                                       vld1q_u64(&words_2[i + 0]));           \
        n0 = vaddq_u16(n0, vpaddlq_u8(vcntq_u8(vreinterpretq_u8_u64(c0))));   \
        vst1q_u64(&out[i + 0], c0);                                           \
        uint64x2_t c1 = neon_intrinsic(vld1q_u64(&words_1[i + 2]),            \
                                       vld1q_u64(&words_2[i + 2]));           \
        n1 = vaddq_u16(n1, vpaddlq_u8(vcntq_u8(vreinterpretq_u8_u64(c1))));   \
        vst1q_u64(&out[i + 2], c1);                                           \
        uint64x2_t c2 = neon_intrinsic(vld1q_u64(&words_1[i + 4]),            \
                                       vld1q_u64(&words_2[i + 4]));           \
        n2 = vaddq_u16(n2, vpaddlq_u8(vcntq_u8(vreinterpretq_u8_u64(c2))));   \
        vst1q_u64(&out[i + 4], c2);                                           \
        uint64x2_t c3 = neon_intrinsic(vld1q_u64(&words_1[i + 6]),            \
                                       vld1q_u64(&words_2[i + 6]));           \
        n3 = vaddq_u16(n3, vpaddlq_u8(vcntq_u8(vreinterpretq_u8_u64(c3))));   \
        vst1q_u64(&out[i + 6], c3);                                           \
    }                                                                         \
    uint64x2_t n = vdupq_n_u64(0);                                            \
    n = vaddq_u64(n, vpaddlq_u32(vpaddlq_u16(n0)));                           \
    n = vaddq_u64(n, vpaddlq_u32(vpaddlq_u16(n1)));                           \
    n = vaddq_u64(n, vpaddlq_u32(vpaddlq_u16(n2)));                           \
    n = vaddq_u64(n, vpaddlq_u32(vpaddlq_u16(n3)));                           \
    dst->cardinality = vgetq_lane_u64(n, 0) + vgetq_lane_u64(n, 1);           \
    return dst->cardinality;                                                  \
}                                                                             \
int bitset_container_##opname##_nocard(const bitset_container_t *src_1,       \
                                       const bitset_container_t *src_2,       \
                                             bitset_container_t *dst) {       \
    const uint64_t * __restrict__ words_1 = src_1->words;                     \
    const uint64_t * __restrict__ words_2 = src_2->words;                     \
    uint64_t *out = dst->words;                                               \
    for (size_t i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; i += 8) {          \
        vst1q_u64(&out[i + 0], neon_intrinsic(vld1q_u64(&words_1[i + 0]),     \
                                              vld1q_u64(&words_2[i + 0])));   \
        vst1q_u64(&out[i + 2], neon_intrinsic(vld1q_u64(&words_1[i + 2]),     \
                                              vld1q_u64(&words_2[i + 2])));   \
        vst1q_u64(&out[i + 4], neon_intrinsic(vld1q_u64(&words_1[i + 4]),     \
                                              vld1q_u64(&words_2[i + 4])));   \
        vst1q_u64(&out[i + 6], neon_intrinsic(vld1q_u64(&words_1[i + 6]),     \
                                              vld1q_u64(&words_2[i + 6])));   \
    }                                                                         \
    dst->cardinality = BITSET_UNKNOWN_CARDINALITY;                            \
    return dst->cardinality;                                                  \
}                                                                             \
int bitset_container_##opname##_justcard(const bitset_container_t *src_1,     \
                                         const bitset_container_t *src_2) {   \
    const uint64_t * __restrict__ words_1 = src_1->words;                     \
    const uint64_t * __restrict__ words_2 = src_2->words;                     \
    uint16x8_t n0 = vdupq_n_u16(0);                                           \
    uint16x8_t n1 = vdupq_n_u16(0);                                           \
    uint16x8_t n2 = vdupq_n_u16(0);                                           \
    uint16x8_t n3 = vdupq_n_u16(0);                                           \
    for (size_t i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; i += 8) {          \
        uint64x2_t c0 = neon_intrinsic(vld1q_u64(&words_1[i + 0]),            \
                                       vld1q_u64(&words_2[i + 0]));           \
        n0 = vaddq_u16(n0, vpaddlq_u8(vcntq_u8(vreinterpretq_u8_u64(c0))));   \
        uint64x2_t c1 = neon_intrinsic(vld1q_u64(&words_1[i + 2]),            \
                                       vld1q_u64(&words_2[i + 2]));           \
        n1 = vaddq_u16(n1, vpaddlq_u8(vcntq_u8(vreinterpretq_u8_u64(c1))));   \
        uint64x2_t c2 = neon_intrinsic(vld1q_u64(&words_1[i + 4]),            \
                                       vld1q_u64(&words_2[i + 4]));           \
        n2 = vaddq_u16(n2, vpaddlq_u8(vcntq_u8(vreinterpretq_u8_u64(c2))));   \
        uint64x2_t c3 = neon_intrinsic(vld1q_u64(&words_1[i + 6]),            \
                                       vld1q_u64(&words_2[i + 6]));           \
        n3 = vaddq_u16(n3, vpaddlq_u8(vcntq_u8(vreinterpretq_u8_u64(c3))));   \
    }                                                                         \
    uint64x2_t n = vdupq_n_u64(0);                                            \
    n = vaddq_u64(n, vpaddlq_u32(vpaddlq_u16(n0)));                           \
    n = vaddq_u64(n, vpaddlq_u32(vpaddlq_u16(n1)));                           \
    n = vaddq_u64(n, vpaddlq_u32(vpaddlq_u16(n2)));                           \
    n = vaddq_u64(n, vpaddlq_u32(vpaddlq_u16(n3)));                           \
    return vgetq_lane_u64(n, 0) + vgetq_lane_u64(n, 1);                       \
}

#else

#define CROARING_BITSET_CONTAINER_FN(opname, opsymbol, avx_intrinsic, neon_intrinsic)  \
int bitset_container_##opname(const bitset_container_t *src_1,            \
                              const bitset_container_t *src_2,            \
                              bitset_container_t *dst) {                  \
    const uint64_t * __restrict__ words_1 = src_1->words;                 \
    const uint64_t * __restrict__ words_2 = src_2->words;                 \
    uint64_t *out = dst->words;                                           \
    int32_t sum = 0;                                                      \
    for (size_t i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; i += 2) {      \
        const uint64_t word_1 = (words_1[i])opsymbol(words_2[i]),         \
                       word_2 = (words_1[i + 1])opsymbol(words_2[i + 1]); \
        out[i] = word_1;                                                  \
        out[i + 1] = word_2;                                              \
        sum += roaring_hamming(word_1);                                    \
        sum += roaring_hamming(word_2);                                    \
    }                                                                     \
    dst->cardinality = sum;                                               \
    return dst->cardinality;                                              \
}                                                                         \
int bitset_container_##opname##_nocard(const bitset_container_t *src_1,   \
                                       const bitset_container_t *src_2,   \
                                       bitset_container_t *dst) {         \
    const uint64_t * __restrict__ words_1 = src_1->words;                 \
    const uint64_t * __restrict__ words_2 = src_2->words;                 \
    uint64_t *out = dst->words;                                           \
    for (size_t i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; i++) {         \
        out[i] = (words_1[i])opsymbol(words_2[i]);                        \
    }                                                                     \
    dst->cardinality = BITSET_UNKNOWN_CARDINALITY;                        \
    return dst->cardinality;                                              \
}                                                                         \
int bitset_container_##opname##_justcard(const bitset_container_t *src_1, \
                              const bitset_container_t *src_2) {          \
    const uint64_t * __restrict__ words_1 = src_1->words;                 \
    const uint64_t * __restrict__ words_2 = src_2->words;                 \
    int32_t sum = 0;                                                      \
    for (size_t i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; i += 2) {      \
        const uint64_t word_1 = (words_1[i])opsymbol(words_2[i]),         \
                       word_2 = (words_1[i + 1])opsymbol(words_2[i + 1]); \
        sum += roaring_hamming(word_1);                                    \
        sum += roaring_hamming(word_2);                                    \
    }                                                                     \
    return sum;                                                           \
}

#endif // CROARING_IS_X64

// we duplicate the function because other containers use the "or" term, makes API more consistent
CROARING_BITSET_CONTAINER_FN(or,    |, _mm256_or_si256, vorrq_u64)
CROARING_BITSET_CONTAINER_FN(union, |, _mm256_or_si256, vorrq_u64)

// we duplicate the function because other containers use the "intersection" term, makes API more consistent
CROARING_BITSET_CONTAINER_FN(and,          &, _mm256_and_si256, vandq_u64)
CROARING_BITSET_CONTAINER_FN(intersection, &, _mm256_and_si256, vandq_u64)

CROARING_BITSET_CONTAINER_FN(xor,    ^,  _mm256_xor_si256,    veorq_u64)
CROARING_BITSET_CONTAINER_FN(andnot, &~, _mm256_andnot_si256, vbicq_u64)
// clang-format On


CROARING_ALLOW_UNALIGNED
int bitset_container_to_uint32_array(
    uint32_t *out,
    const bitset_container_t *bc,
    uint32_t base
){
#if CROARING_IS_X64
   int support = croaring_hardware_support();
#if CROARING_COMPILER_SUPPORTS_AVX512
   if(( support & ROARING_SUPPORTS_AVX512 ) &&  (bc->cardinality >= 8192))  // heuristic
		return (int) bitset_extract_setbits_avx512(bc->words,
                BITSET_CONTAINER_SIZE_IN_WORDS, out, bc->cardinality, base);
   else
#endif
   if(( support & ROARING_SUPPORTS_AVX2 ) &&  (bc->cardinality >= 8192))  // heuristic
		return (int) bitset_extract_setbits_avx2(bc->words,
                BITSET_CONTAINER_SIZE_IN_WORDS, out, bc->cardinality, base);
	else
		return (int) bitset_extract_setbits(bc->words,
                BITSET_CONTAINER_SIZE_IN_WORDS, out, base);
#else
	return (int) bitset_extract_setbits(bc->words,
                BITSET_CONTAINER_SIZE_IN_WORDS, out, base);
#endif
}

/*
 * Print this container using printf (useful for debugging).
 */
void bitset_container_printf(const bitset_container_t * v) {
	printf("{");
	uint32_t base = 0;
	bool iamfirst = true;// TODO: rework so that this is not necessary yet still readable
	for (int i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; ++i) {
		uint64_t w = v->words[i];
		while (w != 0) {
			uint64_t t = w & (~w + 1);
			int r = roaring_trailing_zeroes(w);
			if(iamfirst) {// predicted to be false
				printf("%u",base + r);
				iamfirst = false;
			} else {
				printf(",%u",base + r);
			}
			w ^= t;
		}
		base += 64;
	}
	printf("}");
}


/*
 * Print this container using printf as a comma-separated list of 32-bit integers starting at base.
 */
void bitset_container_printf_as_uint32_array(const bitset_container_t * v, uint32_t base) {
	bool iamfirst = true;// TODO: rework so that this is not necessary yet still readable
	for (int i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; ++i) {
		uint64_t w = v->words[i];
		while (w != 0) {
			uint64_t t = w & (~w + 1);
			int r = roaring_trailing_zeroes(w);
			if(iamfirst) {// predicted to be false
				printf("%u", r + base);
				iamfirst = false;
			} else {
				printf(",%u",r + base);
			}
			w ^= t;
		}
		base += 64;
	}
}

/*
 * Validate the container. Returns true if valid.
 */
bool bitset_container_validate(const bitset_container_t *v, const char **reason) {
    if (v->words == NULL) {
        *reason = "words is NULL";
        return false;
    }
    if (v->cardinality != bitset_container_compute_cardinality(v)) {
        *reason = "cardinality is incorrect";
        return false;
    }
    if (v->cardinality <= DEFAULT_MAX_SIZE) {
        *reason = "cardinality is too small for a bitmap container";
        return false;
    }
    // Attempt to forcibly load the first and last words, hopefully causing
    // a segfault or an address sanitizer error if words is not allocated.
    volatile uint64_t *words = v->words;
    (void) words[0];
    (void) words[BITSET_CONTAINER_SIZE_IN_WORDS - 1];
    return true;
}


// TODO: use the fast lower bound, also
int bitset_container_number_of_runs(bitset_container_t *bc) {
  int num_runs = 0;
  uint64_t next_word = bc->words[0];

  for (int i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS-1; ++i) {
    uint64_t word = next_word;
    next_word = bc->words[i+1];
    num_runs += roaring_hamming((~word) & (word << 1)) + ( (word >> 63) & ~next_word);
  }

  uint64_t word = next_word;
  num_runs += roaring_hamming((~word) & (word << 1));
  if((word & 0x8000000000000000ULL) != 0)
    num_runs++;
  return num_runs;
}


int32_t bitset_container_write(const bitset_container_t *container,
                                  char *buf) {
	memcpy(buf, container->words, BITSET_CONTAINER_SIZE_IN_WORDS * sizeof(uint64_t));
	return bitset_container_size_in_bytes(container);
}


int32_t bitset_container_read(int32_t cardinality, bitset_container_t *container,
		const char *buf)  {
	container->cardinality = cardinality;
	memcpy(container->words, buf, BITSET_CONTAINER_SIZE_IN_WORDS * sizeof(uint64_t));
	return bitset_container_size_in_bytes(container);
}

bool bitset_container_iterate(const bitset_container_t *cont, uint32_t base, roaring_iterator iterator, void *ptr) {
  for (int32_t i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; ++i ) {
    uint64_t w = cont->words[i];
    while (w != 0) {
      uint64_t t = w & (~w + 1);
      int r = roaring_trailing_zeroes(w);
      if(!iterator(r + base, ptr)) return false;
      w ^= t;
    }
    base += 64;
  }
  return true;
}

bool bitset_container_iterate64(const bitset_container_t *cont, uint32_t base, roaring_iterator64 iterator, uint64_t high_bits, void *ptr) {
  for (int32_t i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; ++i ) {
    uint64_t w = cont->words[i];
    while (w != 0) {
      uint64_t t = w & (~w + 1);
      int r = roaring_trailing_zeroes(w);
      if(!iterator(high_bits | (uint64_t)(r + base), ptr)) return false;
      w ^= t;
    }
    base += 64;
  }
  return true;
}

#if CROARING_IS_X64
#if CROARING_COMPILER_SUPPORTS_AVX512
CROARING_TARGET_AVX512
CROARING_ALLOW_UNALIGNED
static inline bool _avx512_bitset_container_equals(const bitset_container_t *container1, const bitset_container_t *container2) {
  const __m512i *ptr1 = (const __m512i*)container1->words;
  const __m512i *ptr2 = (const __m512i*)container2->words;
  for (size_t i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS*sizeof(uint64_t)/64; i++) {
      __m512i r1 = _mm512_loadu_si512(ptr1+i);
      __m512i r2 = _mm512_loadu_si512(ptr2+i);
      __mmask64 mask = _mm512_cmpeq_epi8_mask(r1, r2);
      if ((uint64_t)mask != UINT64_MAX) {
          return false;
      }
  }
	return true;
}
CROARING_UNTARGET_AVX512
#endif // CROARING_COMPILER_SUPPORTS_AVX512
CROARING_TARGET_AVX2
CROARING_ALLOW_UNALIGNED
static inline bool _avx2_bitset_container_equals(const bitset_container_t *container1, const bitset_container_t *container2) {
    const __m256i *ptr1 = (const __m256i*)container1->words;
    const __m256i *ptr2 = (const __m256i*)container2->words;
    for (size_t i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS*sizeof(uint64_t)/32; i++) {
      __m256i r1 = _mm256_loadu_si256(ptr1+i);
      __m256i r2 = _mm256_loadu_si256(ptr2+i);
      int mask = _mm256_movemask_epi8(_mm256_cmpeq_epi8(r1, r2));
      if ((uint32_t)mask != UINT32_MAX) {
          return false;
      }
  }
	return true;
}
CROARING_UNTARGET_AVX2
#endif // CROARING_IS_X64

CROARING_ALLOW_UNALIGNED
bool bitset_container_equals(const bitset_container_t *container1, const bitset_container_t *container2) {
  if((container1->cardinality != BITSET_UNKNOWN_CARDINALITY) && (container2->cardinality != BITSET_UNKNOWN_CARDINALITY)) {
    if(container1->cardinality != container2->cardinality) {
      return false;
    }
    if (container1->cardinality == INT32_C(0x10000)) {
      return true;
    }
  }
#if CROARING_IS_X64
  int support = croaring_hardware_support();
#if CROARING_COMPILER_SUPPORTS_AVX512
  if( support & ROARING_SUPPORTS_AVX512 ) {
    return _avx512_bitset_container_equals(container1, container2);
  }
  else
#endif
  if( support & ROARING_SUPPORTS_AVX2 ) {
    return _avx2_bitset_container_equals(container1, container2);
  }
#endif
  return memcmp(container1->words,
                container2->words,
                BITSET_CONTAINER_SIZE_IN_WORDS*sizeof(uint64_t)) == 0;
}

bool bitset_container_is_subset(const bitset_container_t *container1,
                          const bitset_container_t *container2) {
    if((container1->cardinality != BITSET_UNKNOWN_CARDINALITY) && (container2->cardinality != BITSET_UNKNOWN_CARDINALITY)) {
        if(container1->cardinality > container2->cardinality) {
            return false;
        }
    }
    for(int32_t i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; ++i ) {
		if((container1->words[i] & container2->words[i]) != container1->words[i]) {
			return false;
		}
	}
	return true;
}

bool bitset_container_select(const bitset_container_t *container, uint32_t *start_rank, uint32_t rank, uint32_t *element) {
    int card = bitset_container_cardinality(container);
    if(rank >= *start_rank + card) {
        *start_rank += card;
        return false;
    }
    const uint64_t *words = container->words;
    int32_t size;
    for (int i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; i += 1) {
        size = roaring_hamming(words[i]);
        if(rank <= *start_rank + size) {
            uint64_t w = container->words[i];
            uint16_t base = i*64;
            while (w != 0) {
                uint64_t t = w & (~w + 1);
                int r = roaring_trailing_zeroes(w);
                if(*start_rank == rank) {
                    *element = r+base;
                    return true;
                }
                w ^= t;
                *start_rank += 1;
            }
        }
        else
            *start_rank += size;
    }
    assert(false);
    roaring_unreachable;
}


/* Returns the smallest value (assumes not empty) */
uint16_t bitset_container_minimum(const bitset_container_t *container) {
  for (int32_t i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; ++i ) {
    uint64_t w = container->words[i];
    if (w != 0) {
      int r = roaring_trailing_zeroes(w);
      return r + i * 64;
    }
  }
  return UINT16_MAX;
}

/* Returns the largest value (assumes not empty) */
uint16_t bitset_container_maximum(const bitset_container_t *container) {
  for (int32_t i = BITSET_CONTAINER_SIZE_IN_WORDS - 1; i > 0; --i ) {
    uint64_t w = container->words[i];
    if (w != 0) {
      int r = roaring_leading_zeroes(w);
      return i * 64 + 63  - r;
    }
  }
  return 0;
}

/* Returns the number of values equal or smaller than x */
int bitset_container_rank(const bitset_container_t *container, uint16_t x) {
  // credit: aqrit
  int sum = 0;
  int i = 0;
  for (int end = x / 64; i < end; i++){
    sum += roaring_hamming(container->words[i]);
  }
  uint64_t lastword = container->words[i];
  uint64_t lastpos = UINT64_C(1) << (x % 64);
  uint64_t mask = lastpos + lastpos - 1; // smear right
  sum += roaring_hamming(lastword & mask);
  return sum;
}

uint32_t bitset_container_rank_many(const bitset_container_t *container, uint64_t start_rank, const uint32_t* begin, const uint32_t* end, uint64_t* ans){
  const uint16_t high = (uint16_t)((*begin) >> 16);
  int i = 0;
  int sum = 0;
  const uint32_t* iter = begin;
  for(; iter != end; iter++) {
      uint32_t x = *iter;
      uint16_t xhigh = (uint16_t)(x >> 16);
      if(xhigh != high) return iter - begin; // stop at next container

      uint16_t xlow = (uint16_t)x;
      for(int count = xlow / 64; i < count; i++){
        sum += roaring_hamming(container->words[i]);
      }
      uint64_t lastword = container->words[i];
      uint64_t lastpos = UINT64_C(1) << (xlow % 64);
      uint64_t mask = lastpos + lastpos - 1; // smear right
      *(ans++) = start_rank + sum + roaring_hamming(lastword & mask);
  }
  return iter - begin;
}


/* Returns the index of x , if not exsist return -1 */
int bitset_container_get_index(const bitset_container_t *container, uint16_t x) {
  if (bitset_container_get(container, x)) {
    // credit: aqrit
    int sum = 0;
    int i = 0;
    for (int end = x / 64; i < end; i++){
      sum += roaring_hamming(container->words[i]);
    }
    uint64_t lastword = container->words[i];
    uint64_t lastpos = UINT64_C(1) << (x % 64);
    uint64_t mask = lastpos + lastpos - 1; // smear right
    sum += roaring_hamming(lastword & mask);
    return sum - 1;
  } else {
    return -1;
  }
}

/* Returns the index of the first value equal or larger than x, or -1 */
int bitset_container_index_equalorlarger(const bitset_container_t *container, uint16_t x) {
  uint32_t x32 = x;
  uint32_t k = x32 / 64;
  uint64_t word = container->words[k];
  const int diff = x32 - k * 64; // in [0,64)
  word = (word >> diff) << diff; // a mask is faster, but we don't care
  while(word == 0) {
    k++;
    if(k == BITSET_CONTAINER_SIZE_IN_WORDS) return -1;
    word = container->words[k];
  }
  return k * 64 + roaring_trailing_zeroes(word);
}

#ifdef __cplusplus
} } }  // extern "C" { namespace roaring { namespace internal {
#endif
#if defined(__GNUC__) && !defined(__clang__)
#pragma GCC diagnostic pop
#endif/* end file src/containers/bitset.c */
/* begin file src/containers/containers.c */

#ifdef __cplusplus
extern "C" {
// In Windows MSVC C++ compiler, (type){init} does not compile,
// it causes C4576: a parenthesized type followed by an initializer list is a
// non-standard explicit type conversion syntax The correct syntax is type{init}
#define ROARING_INIT_ROARING_CONTAINER_ITERATOR_T roaring_container_iterator_t
namespace roaring {
namespace internal {
#else
#define ROARING_INIT_ROARING_CONTAINER_ITERATOR_T (roaring_container_iterator_t)
#endif

static inline uint32_t minimum_uint32(uint32_t a, uint32_t b) {
    return (a < b) ? a : b;
}

extern inline const container_t *container_unwrap_shared(
    const container_t *candidate_shared_container, uint8_t *type);

extern inline container_t *container_mutable_unwrap_shared(
    container_t *candidate_shared_container, uint8_t *type);

extern inline int container_get_cardinality(const container_t *c,
                                            uint8_t typecode);

extern inline container_t *container_iand(container_t *c1, uint8_t type1,
                                          const container_t *c2, uint8_t type2,
                                          uint8_t *result_type);

extern inline container_t *container_ior(container_t *c1, uint8_t type1,
                                         const container_t *c2, uint8_t type2,
                                         uint8_t *result_type);

extern inline container_t *container_ixor(container_t *c1, uint8_t type1,
                                          const container_t *c2, uint8_t type2,
                                          uint8_t *result_type);

extern inline container_t *container_iandnot(container_t *c1, uint8_t type1,
                                             const container_t *c2,
                                             uint8_t type2,
                                             uint8_t *result_type);

extern bool container_iterator_next(const container_t *c, uint8_t typecode,
                                    roaring_container_iterator_t *it,
                                    uint16_t *value);

extern bool container_iterator_prev(const container_t *c, uint8_t typecode,
                                    roaring_container_iterator_t *it,
                                    uint16_t *value);
extern bool container_contains(
    const container_t *c, uint16_t val,
    uint8_t typecode  // !!! should be second argument?
);

void container_free(container_t *c, uint8_t type) {
    switch (type) {
        case BITSET_CONTAINER_TYPE:
            bitset_container_free(CAST_bitset(c));
            break;
        case ARRAY_CONTAINER_TYPE:
            array_container_free(CAST_array(c));
            break;
        case RUN_CONTAINER_TYPE:
            run_container_free(CAST_run(c));
            break;
        case SHARED_CONTAINER_TYPE:
            shared_container_free(CAST_shared(c));
            break;
        default:
            assert(false);
            roaring_unreachable;
    }
}

void container_printf(const container_t *c, uint8_t type) {
    c = container_unwrap_shared(c, &type);
    switch (type) {
        case BITSET_CONTAINER_TYPE:
            bitset_container_printf(const_CAST_bitset(c));
            return;
        case ARRAY_CONTAINER_TYPE:
            array_container_printf(const_CAST_array(c));
            return;
        case RUN_CONTAINER_TYPE:
            run_container_printf(const_CAST_run(c));
            return;
        default:
            roaring_unreachable;
    }
}

void container_printf_as_uint32_array(const container_t *c, uint8_t typecode,
                                      uint32_t base) {
    c = container_unwrap_shared(c, &typecode);
    switch (typecode) {
        case BITSET_CONTAINER_TYPE:
            bitset_container_printf_as_uint32_array(const_CAST_bitset(c), base);
            return;
        case ARRAY_CONTAINER_TYPE:
            array_container_printf_as_uint32_array(const_CAST_array(c), base);
            return;
        case RUN_CONTAINER_TYPE:
            run_container_printf_as_uint32_array(const_CAST_run(c), base);
            return;
        default:
            roaring_unreachable;
    }
}

bool container_internal_validate(const container_t *container, uint8_t typecode,
                                 const char **reason) {
    if (container == NULL) {
        *reason = "container is NULL";
        return false;
    }
    // Not using container_unwrap_shared because it asserts if shared containers
    // are nested
    if (typecode == SHARED_CONTAINER_TYPE) {
        const shared_container_t *shared_container =
            const_CAST_shared(container);
        if (croaring_refcount_get(&shared_container->counter) == 0) {
            *reason = "shared container has zero refcount";
            return false;
        }
        if (shared_container->typecode == SHARED_CONTAINER_TYPE) {
            *reason = "shared container is nested";
            return false;
        }
        if (shared_container->container == NULL) {
            *reason = "shared container has NULL container";
            return false;
        }
        container = shared_container->container;
        typecode = shared_container->typecode;
    }
    switch (typecode) {
        case BITSET_CONTAINER_TYPE:
            return bitset_container_validate(const_CAST_bitset(container),
                                             reason);
        case ARRAY_CONTAINER_TYPE:
            return array_container_validate(const_CAST_array(container),
                                            reason);
        case RUN_CONTAINER_TYPE:
            return run_container_validate(const_CAST_run(container), reason);
        default:
            *reason = "invalid typecode";
            return false;
    }
}

extern inline bool container_nonzero_cardinality(const container_t *c,
                                                 uint8_t typecode);

extern inline int container_to_uint32_array(uint32_t *output,
                                            const container_t *c,
                                            uint8_t typecode, uint32_t base);

extern inline container_t *container_add(container_t *c, uint16_t val,
                                         uint8_t typecode,  // !!! 2nd arg?
                                         uint8_t *new_typecode);

extern inline bool container_contains(const container_t *c, uint16_t val,
                                      uint8_t typecode);  // !!! 2nd arg?

extern inline container_t *container_and(const container_t *c1, uint8_t type1,
                                         const container_t *c2, uint8_t type2,
                                         uint8_t *result_type);

extern inline container_t *container_or(const container_t *c1, uint8_t type1,
                                        const container_t *c2, uint8_t type2,
                                        uint8_t *result_type);

extern inline container_t *container_xor(const container_t *c1, uint8_t type1,
                                         const container_t *c2, uint8_t type2,
                                         uint8_t *result_type);

container_t *get_copy_of_container(container_t *c, uint8_t *typecode,
                                   bool copy_on_write) {
    if (copy_on_write) {
        shared_container_t *shared_container;
        if (*typecode == SHARED_CONTAINER_TYPE) {
            shared_container = CAST_shared(c);
            croaring_refcount_inc(&shared_container->counter);
            return shared_container;
        }
        assert(*typecode != SHARED_CONTAINER_TYPE);

        if ((shared_container = (shared_container_t *)roaring_malloc(
                 sizeof(shared_container_t))) == NULL) {
            return NULL;
        }

        shared_container->container = c;
        shared_container->typecode = *typecode;
        // At this point, we are creating new shared container
        // so there should be no other references, and setting
        // the counter to 2 - even non-atomically - is safe as
        // long as the value is set before the return statement.
        shared_container->counter = 2;
        *typecode = SHARED_CONTAINER_TYPE;

        return shared_container;
    }  // copy_on_write
    // otherwise, no copy on write...
    const container_t *actual_container = container_unwrap_shared(c, typecode);
    assert(*typecode != SHARED_CONTAINER_TYPE);
    return container_clone(actual_container, *typecode);
}

/**
 * Copies a container, requires a typecode. This allocates new memory, caller
 * is responsible for deallocation.
 */
container_t *container_clone(const container_t *c, uint8_t typecode) {
    // We do not want to allow cloning of shared containers.
    // c = container_unwrap_shared(c, &typecode);
    switch (typecode) {
        case BITSET_CONTAINER_TYPE:
            return bitset_container_clone(const_CAST_bitset(c));
        case ARRAY_CONTAINER_TYPE:
            return array_container_clone(const_CAST_array(c));
        case RUN_CONTAINER_TYPE:
            return run_container_clone(const_CAST_run(c));
        case SHARED_CONTAINER_TYPE:
            // Shared containers are not cloneable. Are you mixing COW and
            // non-COW bitmaps?
            return NULL;
        default:
            assert(false);
            roaring_unreachable;
            return NULL;
    }
}

container_t *shared_container_extract_copy(shared_container_t *sc,
                                           uint8_t *typecode) {
    assert(sc->typecode != SHARED_CONTAINER_TYPE);
    *typecode = sc->typecode;
    container_t *answer;
    if (croaring_refcount_dec(&sc->counter)) {
        answer = sc->container;
        sc->container = NULL;  // paranoid
        roaring_free(sc);
    } else {
        answer = container_clone(sc->container, *typecode);
    }
    assert(*typecode != SHARED_CONTAINER_TYPE);
    return answer;
}

void shared_container_free(shared_container_t *container) {
    if (croaring_refcount_dec(&container->counter)) {
        assert(container->typecode != SHARED_CONTAINER_TYPE);
        container_free(container->container, container->typecode);
        container->container = NULL;  // paranoid
        roaring_free(container);
    }
}

extern inline container_t *container_not(const container_t *c1, uint8_t type1,
                                         uint8_t *result_type);

extern inline container_t *container_not_range(const container_t *c1,
                                               uint8_t type1,
                                               uint32_t range_start,
                                               uint32_t range_end,
                                               uint8_t *result_type);

extern inline container_t *container_inot(container_t *c1, uint8_t type1,
                                          uint8_t *result_type);

extern inline container_t *container_inot_range(container_t *c1, uint8_t type1,
                                                uint32_t range_start,
                                                uint32_t range_end,
                                                uint8_t *result_type);

extern inline container_t *container_range_of_ones(uint32_t range_start,
                                                   uint32_t range_end,
                                                   uint8_t *result_type);

// where are the correponding things for union and intersection??
extern inline container_t *container_lazy_xor(const container_t *c1,
                                              uint8_t type1,
                                              const container_t *c2,
                                              uint8_t type2,
                                              uint8_t *result_type);

extern inline container_t *container_lazy_ixor(container_t *c1, uint8_t type1,
                                               const container_t *c2,
                                               uint8_t type2,
                                               uint8_t *result_type);

extern inline container_t *container_andnot(const container_t *c1,
                                            uint8_t type1,
                                            const container_t *c2,
                                            uint8_t type2,
                                            uint8_t *result_type);

roaring_container_iterator_t container_init_iterator(const container_t *c,
                                                     uint8_t typecode,
                                                     uint16_t *value) {
    switch (typecode) {
        case BITSET_CONTAINER_TYPE: {
            const bitset_container_t *bc = const_CAST_bitset(c);
            uint32_t wordindex = 0;
            uint64_t word;
            while ((word = bc->words[wordindex]) == 0) {
                wordindex++;
            }
            // word is non-zero
            int32_t index = wordindex * 64 + roaring_trailing_zeroes(word);
            *value = index;
            return ROARING_INIT_ROARING_CONTAINER_ITERATOR_T{
                .index = index,
            };
        }
        case ARRAY_CONTAINER_TYPE: {
            const array_container_t *ac = const_CAST_array(c);
            *value = ac->array[0];
            return ROARING_INIT_ROARING_CONTAINER_ITERATOR_T{
                .index = 0,
            };
        }
        case RUN_CONTAINER_TYPE: {
            const run_container_t *rc = const_CAST_run(c);
            *value = rc->runs[0].value;
            return ROARING_INIT_ROARING_CONTAINER_ITERATOR_T{
                .index = 0,
            };
        }
        default:
            assert(false);
            roaring_unreachable;
            return ROARING_INIT_ROARING_CONTAINER_ITERATOR_T{0};
    }
}

roaring_container_iterator_t container_init_iterator_last(const container_t *c,
                                                          uint8_t typecode,
                                                          uint16_t *value) {
    switch (typecode) {
        case BITSET_CONTAINER_TYPE: {
            const bitset_container_t *bc = const_CAST_bitset(c);
            uint32_t wordindex = BITSET_CONTAINER_SIZE_IN_WORDS - 1;
            uint64_t word;
            while ((word = bc->words[wordindex]) == 0) {
                wordindex--;
            }
            // word is non-zero
            int32_t index =
                wordindex * 64 + (63 - roaring_leading_zeroes(word));
            *value = index;
            return ROARING_INIT_ROARING_CONTAINER_ITERATOR_T{
                .index = index,
            };
        }
        case ARRAY_CONTAINER_TYPE: {
            const array_container_t *ac = const_CAST_array(c);
            int32_t index = ac->cardinality - 1;
            *value = ac->array[index];
            return ROARING_INIT_ROARING_CONTAINER_ITERATOR_T{
                .index = index,
            };
        }
        case RUN_CONTAINER_TYPE: {
            const run_container_t *rc = const_CAST_run(c);
            int32_t run_index = rc->n_runs - 1;
            const rle16_t *last_run = &rc->runs[run_index];
            *value = last_run->value + last_run->length;
            return ROARING_INIT_ROARING_CONTAINER_ITERATOR_T{
                .index = run_index,
            };
        }
        default:
            assert(false);
            roaring_unreachable;
            return ROARING_INIT_ROARING_CONTAINER_ITERATOR_T{0};
    }
}

bool container_iterator_lower_bound(const container_t *c, uint8_t typecode,
                                    roaring_container_iterator_t *it,
                                    uint16_t *value_out, uint16_t val) {
    if (val > container_maximum(c, typecode)) {
        return false;
    }
    switch (typecode) {
        case BITSET_CONTAINER_TYPE: {
            const bitset_container_t *bc = const_CAST_bitset(c);
            it->index = bitset_container_index_equalorlarger(bc, val);
            *value_out = it->index;
            return true;
        }
        case ARRAY_CONTAINER_TYPE: {
            const array_container_t *ac = const_CAST_array(c);
            it->index = array_container_index_equalorlarger(ac, val);
            *value_out = ac->array[it->index];
            return true;
        }
        case RUN_CONTAINER_TYPE: {
            const run_container_t *rc = const_CAST_run(c);
            it->index = run_container_index_equalorlarger(rc, val);
            if (rc->runs[it->index].value <= val) {
                *value_out = val;
            } else {
                *value_out = rc->runs[it->index].value;
            }
            return true;
        }
        default:
            assert(false);
            roaring_unreachable;
            return false;
    }
}

bool container_iterator_read_into_uint32(const container_t *c, uint8_t typecode,
                                         roaring_container_iterator_t *it,
                                         uint32_t high16, uint32_t *buf,
                                         uint32_t count, uint32_t *consumed,
                                         uint16_t *value_out) {
    *consumed = 0;
    if (count == 0) {
        return false;
    }
    switch (typecode) {
        case BITSET_CONTAINER_TYPE: {
            const bitset_container_t *bc = const_CAST_bitset(c);
            uint32_t wordindex = it->index / 64;
            uint64_t word =
                bc->words[wordindex] & (UINT64_MAX << (it->index % 64));
            do {
                // Read set bits.
                while (word != 0 && *consumed < count) {
                    *buf = high16 |
                           (wordindex * 64 + roaring_trailing_zeroes(word));
                    word = word & (word - 1);
                    buf++;
                    (*consumed)++;
                }
                // Skip unset bits.
                while (word == 0 &&
                       wordindex + 1 < BITSET_CONTAINER_SIZE_IN_WORDS) {
                    wordindex++;
                    word = bc->words[wordindex];
                }
            } while (word != 0 && *consumed < count);

            if (word != 0) {
                it->index = wordindex * 64 + roaring_trailing_zeroes(word);
                *value_out = it->index;
                return true;
            }
            return false;
        }
        case ARRAY_CONTAINER_TYPE: {
            const array_container_t *ac = const_CAST_array(c);
            uint32_t num_values =
                minimum_uint32(ac->cardinality - it->index, count);
            for (uint32_t i = 0; i < num_values; i++) {
                buf[i] = high16 | ac->array[it->index + i];
            }
            *consumed += num_values;
            it->index += num_values;
            if (it->index < ac->cardinality) {
                *value_out = ac->array[it->index];
                return true;
            }
            return false;
        }
        case RUN_CONTAINER_TYPE: {
            const run_container_t *rc = const_CAST_run(c);
            do {
                uint32_t largest_run_value =
                    rc->runs[it->index].value + rc->runs[it->index].length;
                uint32_t num_values = minimum_uint32(
                    largest_run_value - *value_out + 1, count - *consumed);
                for (uint32_t i = 0; i < num_values; i++) {
                    buf[i] = high16 | (*value_out + i);
                }
                *value_out += num_values;
                buf += num_values;
                *consumed += num_values;

                // We check for `value == 0` because `it->value += num_values`
                // can overflow when `value == UINT16_MAX`, and `count >
                // length`. In this case `value` will overflow to 0.
                if (*value_out > largest_run_value || *value_out == 0) {
                    it->index++;
                    if (it->index < rc->n_runs) {
                        *value_out = rc->runs[it->index].value;
                    } else {
                        return false;
                    }
                }
            } while (*consumed < count);
            return true;
        }
        default:
            assert(false);
            roaring_unreachable;
            return 0;
    }
}

bool container_iterator_read_into_uint64(const container_t *c, uint8_t typecode,
                                         roaring_container_iterator_t *it,
                                         uint64_t high48, uint64_t *buf,
                                         uint32_t count, uint32_t *consumed,
                                         uint16_t *value_out) {
    *consumed = 0;
    if (count == 0) {
        return false;
    }
    switch (typecode) {
        case BITSET_CONTAINER_TYPE: {
            const bitset_container_t *bc = const_CAST_bitset(c);
            uint32_t wordindex = it->index / 64;
            uint64_t word =
                bc->words[wordindex] & (UINT64_MAX << (it->index % 64));
            do {
                // Read set bits.
                while (word != 0 && *consumed < count) {
                    *buf = high48 |
                           (wordindex * 64 + roaring_trailing_zeroes(word));
                    word = word & (word - 1);
                    buf++;
                    (*consumed)++;
                }
                // Skip unset bits.
                while (word == 0 &&
                       wordindex + 1 < BITSET_CONTAINER_SIZE_IN_WORDS) {
                    wordindex++;
                    word = bc->words[wordindex];
                }
            } while (word != 0 && *consumed < count);

            if (word != 0) {
                it->index = wordindex * 64 + roaring_trailing_zeroes(word);
                *value_out = it->index;
                return true;
            }
            return false;
        }
        case ARRAY_CONTAINER_TYPE: {
            const array_container_t *ac = const_CAST_array(c);
            uint32_t num_values =
                minimum_uint32(ac->cardinality - it->index, count);
            for (uint32_t i = 0; i < num_values; i++) {
                buf[i] = high48 | ac->array[it->index + i];
            }
            *consumed += num_values;
            it->index += num_values;
            if (it->index < ac->cardinality) {
                *value_out = ac->array[it->index];
                return true;
            }
            return false;
        }
        case RUN_CONTAINER_TYPE: {
            const run_container_t *rc = const_CAST_run(c);
            do {
                uint32_t largest_run_value =
                    rc->runs[it->index].value + rc->runs[it->index].length;
                uint32_t num_values = minimum_uint32(
                    largest_run_value - *value_out + 1, count - *consumed);
                for (uint32_t i = 0; i < num_values; i++) {
                    buf[i] = high48 | (*value_out + i);
                }
                *value_out += num_values;
                buf += num_values;
                *consumed += num_values;

                // We check for `value == 0` because `it->value += num_values`
                // can overflow when `value == UINT16_MAX`, and `count >
                // length`. In this case `value` will overflow to 0.
                if (*value_out > largest_run_value || *value_out == 0) {
                    it->index++;
                    if (it->index < rc->n_runs) {
                        *value_out = rc->runs[it->index].value;
                    } else {
                        return false;
                    }
                }
            } while (*consumed < count);
            return true;
        }
        default:
            assert(false);
            roaring_unreachable;
            return 0;
    }
}

bool container_iterator_skip(const container_t *c, uint8_t typecode,
                             roaring_container_iterator_t *it,
                             uint32_t skip_count, uint32_t *consumed_count,
                             uint16_t *value_out) {
    uint32_t actually_skipped;
    bool has_value;
    skip_count = minimum_uint32(skip_count, (uint32_t)UINT16_MAX + 1);
    switch (typecode) {
        case ARRAY_CONTAINER_TYPE: {
            const array_container_t *ac = const_CAST_array(c);
            actually_skipped =
                minimum_uint32(ac->cardinality - it->index, skip_count);
            it->index += actually_skipped;
            has_value = it->index < ac->cardinality;
            if (has_value) {
                *value_out = ac->array[it->index];
            }
            break;
        }
        case BITSET_CONTAINER_TYPE: {
            const bitset_container_t *bc = const_CAST_bitset(c);

            uint32_t remaining_skip = skip_count;
            uint32_t current_index = it->index;
            uint64_t word_mask = UINT64_MAX << (current_index % 64);
            has_value = false;

            for (uint32_t word_index = current_index / 64;
                 word_index < BITSET_CONTAINER_SIZE_IN_WORDS; word_index++) {
                uint64_t word = bc->words[word_index] & word_mask;
                word_mask = ~0;  // Only apply mask for the first word

                uint32_t bits_in_word = roaring_hamming(word);
                if (bits_in_word > remaining_skip) {
                    // Unset the lowest bit `remaining_skip` times
                    for (; remaining_skip > 0; --remaining_skip) {
                        word &= word - 1;
                    }
                    has_value = true;
                    *value_out = it->index =
                        roaring_trailing_zeroes(word) + word_index * 64;
                    break;
                }
                // Skip all set bits in this word
                remaining_skip -= bits_in_word;
            }
            actually_skipped = skip_count - remaining_skip;
            break;
        }
        case RUN_CONTAINER_TYPE: {
            const run_container_t *rc = const_CAST_run(c);

            uint16_t current_value = *value_out;
            uint32_t remaining_skip = skip_count;
            int32_t run_index;

            // Process skips by iterating through runs
            for (run_index = it->index;
                 remaining_skip > 0 && run_index < rc->n_runs; run_index++) {
                // max value (inclusive) in current run
                uint32_t run_max_inc =
                    rc->runs[run_index].value + rc->runs[run_index].length;
                // Max to skip in this run (we can skip from the current value
                // to the last value in the run, plus one to move past this run)
                uint32_t max_skip_this_run = run_max_inc - current_value + 1;
                uint32_t consume =
                    minimum_uint32(remaining_skip, max_skip_this_run);
                remaining_skip -= consume;
                if (consume < max_skip_this_run) {
                    current_value += consume;
                    break;
                }
                // Skip past the end of this run, to the next if there is one
                if (run_index + 1 < rc->n_runs) {
                    current_value = rc->runs[run_index + 1].value;
                }
            }

            // Update final state
            it->index = run_index;
            actually_skipped = skip_count - remaining_skip;
            has_value = run_index < rc->n_runs;
            if (has_value) {
                *value_out = current_value;
            }
            break;
        }
        default:
            assert(false);
            roaring_unreachable;
            return false;
    }
    *consumed_count = actually_skipped;
    return has_value;
}

bool container_iterator_skip_backward(const container_t *c, uint8_t typecode,
                                      roaring_container_iterator_t *it,
                                      uint32_t skip_count,
                                      uint32_t *consumed_count,
                                      uint16_t *value_out) {
    uint32_t actually_skipped;
    bool has_value;
    skip_count = minimum_uint32(skip_count, (uint32_t)UINT16_MAX + 1);
    switch (typecode) {
        case ARRAY_CONTAINER_TYPE: {
            const array_container_t *ac = const_CAST_array(c);
            // Allow skipping back to -1
            actually_skipped = minimum_uint32(it->index + 1, skip_count);
            it->index -= actually_skipped;
            has_value = it->index >= 0;
            if (has_value) {
                *value_out = ac->array[it->index];
            }
            break;
        }
        case BITSET_CONTAINER_TYPE: {
            const bitset_container_t *bc = const_CAST_bitset(c);

            uint32_t remaining_skip = skip_count;
            uint32_t current_index = it->index;
            uint64_t word_mask = UINT64_MAX >> (63 - (current_index % 64));
            has_value = false;

            // Start from the word containing current index and go backwards
            for (int32_t word_index = current_index / 64; word_index >= 0;
                 word_index--) {
                uint64_t word = bc->words[word_index] & word_mask;
                word_mask = ~0;  // Only apply mask for the first word

                uint32_t bits_in_word = roaring_hamming(word);
                if (bits_in_word > remaining_skip) {
                    // Unset the highest bit `remaining_skip` times
                    for (; remaining_skip > 0; --remaining_skip) {
                        uint64_t high_bit =
                            UINT64_C(1) << (63 - roaring_leading_zeroes(word));
                        // Clear the highest set bit
                        word &= ~high_bit;
                    }
                    has_value = true;
                    *value_out = it->index =
                        (63 - roaring_leading_zeroes(word)) + word_index * 64;
                    break;
                }
                // Skip all set bits in this word
                remaining_skip -= bits_in_word;
            }
            actually_skipped = skip_count - remaining_skip;
            break;
        }
        case RUN_CONTAINER_TYPE: {
            const run_container_t *rc = const_CAST_run(c);

            uint16_t current_value = *value_out;
            uint32_t remaining_skip = skip_count;
            int32_t run_index;

            // Process skips by iterating through runs backwards
            for (run_index = it->index; remaining_skip > 0 && run_index >= 0;
                 run_index--) {
                // min value (inclusive) in current run
                uint32_t run_min_inc = rc->runs[run_index].value;
                // Max to skip in this run (we can skip from the current value
                // back to the first value in the run, plus one to move before
                // this run)
                uint32_t max_skip_this_run = current_value - run_min_inc + 1;
                uint32_t consume =
                    minimum_uint32(remaining_skip, max_skip_this_run);
                remaining_skip -= consume;
                if (consume < max_skip_this_run) {
                    current_value -= consume;
                    break;
                }
                // Skip past the beginning of this run, to the previous if there
                // is one
                if (run_index - 1 >= 0) {
                    current_value = rc->runs[run_index - 1].value +
                                    rc->runs[run_index - 1].length;
                }
            }

            // Update final state
            it->index = run_index;
            actually_skipped = skip_count - remaining_skip;
            has_value = run_index >= 0;
            if (has_value) {
                *value_out = current_value;
            }
            break;
        }
        default:
            assert(false);
            roaring_unreachable;
            return false;
    }
    *consumed_count = actually_skipped;
    return has_value;
}

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace internal {
#endif

#undef ROARING_INIT_ROARING_CONTAINER_ITERATOR_T
/* end file src/containers/containers.c */
/* begin file src/containers/convert.c */
#include <stdio.h>


#if CROARING_IS_X64
#ifndef CROARING_COMPILER_SUPPORTS_AVX512
#error "CROARING_COMPILER_SUPPORTS_AVX512 needs to be defined."
#endif  // CROARING_COMPILER_SUPPORTS_AVX512
#endif

#ifdef __cplusplus
extern "C" {
namespace roaring {
namespace internal {
#endif

// file contains grubby stuff that must know impl. details of all container
// types.
bitset_container_t *bitset_container_from_array(const array_container_t *ac) {
    bitset_container_t *ans = bitset_container_create();
    int limit = array_container_cardinality(ac);
    for (int i = 0; i < limit; ++i) bitset_container_set(ans, ac->array[i]);
    return ans;
}

bitset_container_t *bitset_container_from_run(const run_container_t *arr) {
    int card = run_container_cardinality(arr);
    bitset_container_t *answer = bitset_container_create();
    for (int rlepos = 0; rlepos < arr->n_runs; ++rlepos) {
        rle16_t vl = arr->runs[rlepos];
        bitset_set_lenrange(answer->words, vl.value, vl.length);
    }
    answer->cardinality = card;
    return answer;
}

array_container_t *array_container_from_run(const run_container_t *arr) {
    array_container_t *answer =
        array_container_create_given_capacity(run_container_cardinality(arr));
    answer->cardinality = 0;
    for (int rlepos = 0; rlepos < arr->n_runs; ++rlepos) {
        int run_start = arr->runs[rlepos].value;
        int run_end = run_start + arr->runs[rlepos].length;

        for (int run_value = run_start; run_value <= run_end; ++run_value) {
            answer->array[answer->cardinality++] = (uint16_t)run_value;
        }
    }
    return answer;
}

array_container_t *array_container_from_bitset(const bitset_container_t *bits) {
    array_container_t *result =
        array_container_create_given_capacity(bits->cardinality);
    result->cardinality = bits->cardinality;
#if CROARING_IS_X64
#if CROARING_COMPILER_SUPPORTS_AVX512
    if (croaring_hardware_support() & ROARING_SUPPORTS_AVX512) {
        bitset_extract_setbits_avx512_uint16(
            bits->words, BITSET_CONTAINER_SIZE_IN_WORDS, result->array,
            bits->cardinality, 0);
    } else
#endif
    {
        //  sse version ends up being slower here
        // (bitset_extract_setbits_sse_uint16)
        // because of the sparsity of the data
        bitset_extract_setbits_uint16(
            bits->words, BITSET_CONTAINER_SIZE_IN_WORDS, result->array, 0);
    }
#else
    // If the system is not x64, then we have no accelerated function.
    bitset_extract_setbits_uint16(bits->words, BITSET_CONTAINER_SIZE_IN_WORDS,
                                  result->array, 0);
#endif

    return result;
}

/* assumes that container has adequate space.  Run from [s,e] (inclusive) */
static void add_run(run_container_t *rc, int s, int e) {
    rc->runs[rc->n_runs].value = s;
    rc->runs[rc->n_runs].length = e - s;
    rc->n_runs++;
}

run_container_t *run_container_from_array(const array_container_t *c) {
    int32_t n_runs = array_container_number_of_runs(c);
    run_container_t *answer = run_container_create_given_capacity(n_runs);
    int prev = -2;
    int run_start = -1;
    int32_t card = c->cardinality;
    if (card == 0) return answer;
    for (int i = 0; i < card; ++i) {
        const uint16_t cur_val = c->array[i];
        if (cur_val != prev + 1) {
            // new run starts; flush old one, if any
            if (run_start != -1) add_run(answer, run_start, prev);
            run_start = cur_val;
        }
        prev = c->array[i];
    }
    // now prev is the last seen value
    add_run(answer, run_start, prev);
    // assert(run_container_cardinality(answer) == c->cardinality);
    return answer;
}

/**
 * Convert the runcontainer to either a Bitmap or an Array Container, depending
 * on the cardinality.  Frees the container.
 * Allocates and returns new container, which caller is responsible for freeing.
 * It does not free the run container.
 */
container_t *convert_to_bitset_or_array_container(run_container_t *rc,
                                                  int32_t card,
                                                  uint8_t *resulttype) {
    if (card <= DEFAULT_MAX_SIZE) {
        array_container_t *answer = array_container_create_given_capacity(card);
        answer->cardinality = 0;
        for (int rlepos = 0; rlepos < rc->n_runs; ++rlepos) {
            uint16_t run_start = rc->runs[rlepos].value;
            uint16_t run_end = run_start + rc->runs[rlepos].length;
            for (uint16_t run_value = run_start; run_value < run_end;
                 ++run_value) {
                answer->array[answer->cardinality++] = run_value;
            }
            answer->array[answer->cardinality++] = run_end;
        }
        assert(card == answer->cardinality);
        *resulttype = ARRAY_CONTAINER_TYPE;
        // run_container_free(r);
        return answer;
    }
    bitset_container_t *answer = bitset_container_create();
    for (int rlepos = 0; rlepos < rc->n_runs; ++rlepos) {
        uint16_t run_start = rc->runs[rlepos].value;
        bitset_set_lenrange(answer->words, run_start, rc->runs[rlepos].length);
    }
    answer->cardinality = card;
    *resulttype = BITSET_CONTAINER_TYPE;
    // run_container_free(r);
    return answer;
}

/* Converts a run container to either an array or a bitset, IF it saves space.
 */
/* If a conversion occurs, the caller is responsible to free the original
 * container and
 * he becomes responsible to free the new one. */
container_t *convert_run_to_efficient_container(run_container_t *c,
                                                uint8_t *typecode_after) {
    int32_t size_as_run_container =
        run_container_serialized_size_in_bytes(c->n_runs);

    int32_t size_as_bitset_container =
        bitset_container_serialized_size_in_bytes();
    int32_t card = run_container_cardinality(c);
    int32_t size_as_array_container =
        array_container_serialized_size_in_bytes(card);

    int32_t min_size_non_run =
        size_as_bitset_container < size_as_array_container
            ? size_as_bitset_container
            : size_as_array_container;
    if (size_as_run_container <= min_size_non_run) {  // no conversion
        *typecode_after = RUN_CONTAINER_TYPE;
        return c;
    }
    if (card <= DEFAULT_MAX_SIZE) {
        // to array
        array_container_t *answer = array_container_create_given_capacity(card);
        answer->cardinality = 0;
        for (int rlepos = 0; rlepos < c->n_runs; ++rlepos) {
            int run_start = c->runs[rlepos].value;
            int run_end = run_start + c->runs[rlepos].length;

            for (int run_value = run_start; run_value <= run_end; ++run_value) {
                answer->array[answer->cardinality++] = (uint16_t)run_value;
            }
        }
        *typecode_after = ARRAY_CONTAINER_TYPE;
        return answer;
    }

    // else to bitset
    bitset_container_t *answer = bitset_container_create();

    for (int rlepos = 0; rlepos < c->n_runs; ++rlepos) {
        int start = c->runs[rlepos].value;
        int end = start + c->runs[rlepos].length;
        bitset_set_range(answer->words, start, end + 1);
    }
    answer->cardinality = card;
    *typecode_after = BITSET_CONTAINER_TYPE;
    return answer;
}

// like convert_run_to_efficient_container but frees the old result if needed
container_t *convert_run_to_efficient_container_and_free(
    run_container_t *c, uint8_t *typecode_after) {
    container_t *answer = convert_run_to_efficient_container(c, typecode_after);
    if (answer != c) run_container_free(c);
    return answer;
}

/* once converted, the original container is disposed here, rather than
   in roaring_array
*/

// TODO: split into run-  array-  and bitset-  subfunctions for sanity;
// a few function calls won't really matter.

container_t *convert_run_optimize(container_t *c, uint8_t typecode_original,
                                  uint8_t *typecode_after) {
    if (typecode_original == RUN_CONTAINER_TYPE) {
        container_t *newc =
            convert_run_to_efficient_container(CAST_run(c), typecode_after);
        if (newc != c) {
            container_free(c, typecode_original);
        }
        return newc;
    } else if (typecode_original == ARRAY_CONTAINER_TYPE) {
        // it might need to be converted to a run container.
        array_container_t *c_qua_array = CAST_array(c);
        int32_t n_runs = array_container_number_of_runs(c_qua_array);
        int32_t size_as_run_container =
            run_container_serialized_size_in_bytes(n_runs);
        int32_t card = array_container_cardinality(c_qua_array);
        int32_t size_as_array_container =
            array_container_serialized_size_in_bytes(card);

        if (size_as_run_container >= size_as_array_container) {
            *typecode_after = ARRAY_CONTAINER_TYPE;
            return c;
        }
        // else convert array to run container
        run_container_t *answer = run_container_create_given_capacity(n_runs);
        int prev = -2;
        int run_start = -1;

        assert(card > 0);
        for (int i = 0; i < card; ++i) {
            uint16_t cur_val = c_qua_array->array[i];
            if (cur_val != prev + 1) {
                // new run starts; flush old one, if any
                if (run_start != -1) add_run(answer, run_start, prev);
                run_start = cur_val;
            }
            prev = c_qua_array->array[i];
        }
        assert(run_start >= 0);
        // now prev is the last seen value
        add_run(answer, run_start, prev);
        *typecode_after = RUN_CONTAINER_TYPE;
        array_container_free(c_qua_array);
        return answer;
    } else if (typecode_original ==
               BITSET_CONTAINER_TYPE) {  // run conversions on bitset
        // does bitset need conversion to run?
        bitset_container_t *c_qua_bitset = CAST_bitset(c);
        int32_t n_runs = bitset_container_number_of_runs(c_qua_bitset);
        int32_t size_as_run_container =
            run_container_serialized_size_in_bytes(n_runs);
        int32_t size_as_bitset_container =
            bitset_container_serialized_size_in_bytes();

        if (size_as_bitset_container <= size_as_run_container) {
            // no conversion needed.
            *typecode_after = BITSET_CONTAINER_TYPE;
            return c;
        }
        // bitset to runcontainer (ported from Java  RunContainer(
        // BitmapContainer bc, int nbrRuns))
        assert(n_runs > 0);  // no empty bitmaps
        run_container_t *answer = run_container_create_given_capacity(n_runs);

        int long_ctr = 0;
        uint64_t cur_word = c_qua_bitset->words[0];
        while (true) {
            while (cur_word == UINT64_C(0) &&
                   long_ctr < BITSET_CONTAINER_SIZE_IN_WORDS - 1)
                cur_word = c_qua_bitset->words[++long_ctr];

            if (cur_word == UINT64_C(0)) {
                bitset_container_free(c_qua_bitset);
                *typecode_after = RUN_CONTAINER_TYPE;
                return answer;
            }

            int local_run_start = roaring_trailing_zeroes(cur_word);
            int run_start = local_run_start + 64 * long_ctr;
            uint64_t cur_word_with_1s = cur_word | (cur_word - 1);

            int run_end = 0;
            while (cur_word_with_1s == UINT64_C(0xFFFFFFFFFFFFFFFF) &&
                   long_ctr < BITSET_CONTAINER_SIZE_IN_WORDS - 1)
                cur_word_with_1s = c_qua_bitset->words[++long_ctr];

            if (cur_word_with_1s == UINT64_C(0xFFFFFFFFFFFFFFFF)) {
                run_end = 64 + long_ctr * 64;  // exclusive, I guess
                add_run(answer, run_start, run_end - 1);
                bitset_container_free(c_qua_bitset);
                *typecode_after = RUN_CONTAINER_TYPE;
                return answer;
            }
            int local_run_end = roaring_trailing_zeroes(~cur_word_with_1s);
            run_end = local_run_end + long_ctr * 64;
            add_run(answer, run_start, run_end - 1);
            cur_word = cur_word_with_1s & (cur_word_with_1s + 1);
        }
        return answer;
    } else {
        assert(false);
        roaring_unreachable;
        return NULL;
    }
}

container_t *container_from_run_range(const run_container_t *run, uint32_t min,
                                      uint32_t max, uint8_t *typecode_after) {
    // We expect most of the time to end up with a bitset container
    bitset_container_t *bitset = bitset_container_create();
    *typecode_after = BITSET_CONTAINER_TYPE;
    int32_t union_cardinality = 0;
    for (int32_t i = 0; i < run->n_runs; ++i) {
        uint32_t rle_min = run->runs[i].value;
        uint32_t rle_max = rle_min + run->runs[i].length;
        bitset_set_lenrange(bitset->words, rle_min, rle_max - rle_min);
        union_cardinality += run->runs[i].length + 1;
    }
    union_cardinality += max - min + 1;
    union_cardinality -=
        bitset_lenrange_cardinality(bitset->words, min, max - min);
    bitset_set_lenrange(bitset->words, min, max - min);
    bitset->cardinality = union_cardinality;
    if (bitset->cardinality <= DEFAULT_MAX_SIZE) {
        // we need to convert to an array container
        array_container_t *array = array_container_from_bitset(bitset);
        *typecode_after = ARRAY_CONTAINER_TYPE;
        bitset_container_free(bitset);
        return array;
    }
    return bitset;
}

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace internal {
#endif
/* end file src/containers/convert.c */
/* begin file src/containers/mixed_andnot.c */
/*
 * mixed_andnot.c.  More methods since operation is not symmetric,
 * except no "wide" andnot , so no lazy options motivated.
 */

#include <assert.h>
#include <string.h>


#ifdef __cplusplus
extern "C" {
namespace roaring {
namespace internal {
#endif

/* Compute the andnot of src_1 and src_2 and write the result to
 * dst, a valid array container that could be the same as dst.*/
void array_bitset_container_andnot(const array_container_t *src_1,
                                   const bitset_container_t *src_2,
                                   array_container_t *dst) {
    // follows Java implementation as of June 2016
    if (dst->capacity < src_1->cardinality) {
        array_container_grow(dst, src_1->cardinality, false);
    }
    int32_t newcard = 0;
    const int32_t origcard = src_1->cardinality;
    for (int i = 0; i < origcard; ++i) {
        uint16_t key = src_1->array[i];
        dst->array[newcard] = key;
        newcard += 1 - bitset_container_contains(src_2, key);
    }
    dst->cardinality = newcard;
}

/* Compute the andnot of src_1 and src_2 and write the result to
 * src_1 */

void array_bitset_container_iandnot(array_container_t *src_1,
                                    const bitset_container_t *src_2) {
    array_bitset_container_andnot(src_1, src_2, src_1);
}

/* Compute the andnot of src_1 and src_2 and write the result to
 * dst, which does not initially have a valid container.
 * Return true for a bitset result; false for array
 */

bool bitset_array_container_andnot(const bitset_container_t *src_1,
                                   const array_container_t *src_2,
                                   container_t **dst) {
    // Java did this directly, but we have option of asm or avx
    bitset_container_t *result = bitset_container_create();
    bitset_container_copy(src_1, result);
    result->cardinality =
        (int32_t)bitset_clear_list(result->words, (uint64_t)result->cardinality,
                                   src_2->array, (uint64_t)src_2->cardinality);

    // do required type conversions.
    if (result->cardinality <= DEFAULT_MAX_SIZE) {
        *dst = array_container_from_bitset(result);
        bitset_container_free(result);
        return false;
    }
    *dst = result;
    return true;
}

/* Compute the andnot of src_1 and src_2 and write the result to
 * dst (which has no container initially).  It will modify src_1
 * to be dst if the result is a bitset.  Otherwise, it will
 * free src_1 and dst will be a new array container.  In both
 * cases, the caller is responsible for deallocating dst.
 * Returns true iff dst is a bitset  */

bool bitset_array_container_iandnot(bitset_container_t *src_1,
                                    const array_container_t *src_2,
                                    container_t **dst) {
    *dst = src_1;
    src_1->cardinality =
        (int32_t)bitset_clear_list(src_1->words, (uint64_t)src_1->cardinality,
                                   src_2->array, (uint64_t)src_2->cardinality);

    if (src_1->cardinality <= DEFAULT_MAX_SIZE) {
        *dst = array_container_from_bitset(src_1);
        bitset_container_free(src_1);
        return false;  // not bitset
    } else
        return true;
}

/* Compute the andnot of src_1 and src_2 and write the result to
 * dst. Result may be either a bitset or an array container
 * (returns "result is bitset"). dst does not initially have
 * any container, but becomes either a bitset container (return
 * result true) or an array container.
 */

bool run_bitset_container_andnot(const run_container_t *src_1,
                                 const bitset_container_t *src_2,
                                 container_t **dst) {
    // follows the Java implementation as of June 2016
    int card = run_container_cardinality(src_1);
    if (card <= DEFAULT_MAX_SIZE) {
        // must be an array
        array_container_t *answer = array_container_create_given_capacity(card);
        answer->cardinality = 0;
        for (int32_t rlepos = 0; rlepos < src_1->n_runs; ++rlepos) {
            rle16_t rle = src_1->runs[rlepos];
            for (int run_value = rle.value; run_value <= rle.value + rle.length;
                 ++run_value) {
                if (!bitset_container_get(src_2, (uint16_t)run_value)) {
                    answer->array[answer->cardinality++] = (uint16_t)run_value;
                }
            }
        }
        *dst = answer;
        return false;
    } else {  // we guess it will be a bitset, though have to check guess when
              // done
        bitset_container_t *answer = bitset_container_clone(src_2);

        uint32_t last_pos = 0;
        for (int32_t rlepos = 0; rlepos < src_1->n_runs; ++rlepos) {
            rle16_t rle = src_1->runs[rlepos];

            uint32_t start = rle.value;
            uint32_t end = start + rle.length + 1;
            bitset_reset_range(answer->words, last_pos, start);
            bitset_flip_range(answer->words, start, end);
            last_pos = end;
        }
        bitset_reset_range(answer->words, last_pos, (uint32_t)(1 << 16));

        answer->cardinality = bitset_container_compute_cardinality(answer);

        if (answer->cardinality <= DEFAULT_MAX_SIZE) {
            *dst = array_container_from_bitset(answer);
            bitset_container_free(answer);
            return false;  // not bitset
        }
        *dst = answer;
        return true;  // bitset
    }
}

/* Compute the andnot of src_1 and src_2 and write the result to
 * dst. Result may be either a bitset or an array container
 * (returns "result is bitset"). dst does not initially have
 * any container, but becomes either a bitset container (return
 * result true) or an array container.
 */

bool run_bitset_container_iandnot(run_container_t *src_1,
                                  const bitset_container_t *src_2,
                                  container_t **dst) {
    // dummy implementation
    bool ans = run_bitset_container_andnot(src_1, src_2, dst);
    run_container_free(src_1);
    return ans;
}

/* Compute the andnot of src_1 and src_2 and write the result to
 * dst. Result may be either a bitset or an array container
 * (returns "result is bitset").  dst does not initially have
 * any container, but becomes either a bitset container (return
 * result true) or an array container.
 */

bool bitset_run_container_andnot(const bitset_container_t *src_1,
                                 const run_container_t *src_2,
                                 container_t **dst) {
    // follows Java implementation
    bitset_container_t *result = bitset_container_create();

    bitset_container_copy(src_1, result);
    for (int32_t rlepos = 0; rlepos < src_2->n_runs; ++rlepos) {
        rle16_t rle = src_2->runs[rlepos];
        bitset_reset_range(result->words, rle.value,
                           rle.value + rle.length + UINT32_C(1));
    }
    result->cardinality = bitset_container_compute_cardinality(result);

    if (result->cardinality <= DEFAULT_MAX_SIZE) {
        *dst = array_container_from_bitset(result);
        bitset_container_free(result);
        return false;  // not bitset
    }
    *dst = result;
    return true;  // bitset
}

/* Compute the andnot of src_1 and src_2 and write the result to
 * dst (which has no container initially).  It will modify src_1
 * to be dst if the result is a bitset.  Otherwise, it will
 * free src_1 and dst will be a new array container.  In both
 * cases, the caller is responsible for deallocating dst.
 * Returns true iff dst is a bitset  */

bool bitset_run_container_iandnot(bitset_container_t *src_1,
                                  const run_container_t *src_2,
                                  container_t **dst) {
    *dst = src_1;

    for (int32_t rlepos = 0; rlepos < src_2->n_runs; ++rlepos) {
        rle16_t rle = src_2->runs[rlepos];
        bitset_reset_range(src_1->words, rle.value,
                           rle.value + rle.length + UINT32_C(1));
    }
    src_1->cardinality = bitset_container_compute_cardinality(src_1);

    if (src_1->cardinality <= DEFAULT_MAX_SIZE) {
        *dst = array_container_from_bitset(src_1);
        bitset_container_free(src_1);
        return false;  // not bitset
    } else
        return true;
}

/* helper. a_out must be a valid array container with adequate capacity.
 * Returns the cardinality of the output container. Partly Based on Java
 * implementation Util.unsignedDifference.
 *
 * TODO: Util.unsignedDifference does not use advanceUntil.  Is it cheaper
 * to avoid advanceUntil?
 */

static int run_array_array_subtract(const run_container_t *rc,
                                    const array_container_t *a_in,
                                    array_container_t *a_out) {
    int out_card = 0;
    int32_t in_array_pos =
        -1;  // since advanceUntil always assumes we start the search AFTER this

    for (int rlepos = 0; rlepos < rc->n_runs; rlepos++) {
        int32_t start = rc->runs[rlepos].value;
        int32_t end = start + rc->runs[rlepos].length + 1;

        in_array_pos = advanceUntil(a_in->array, in_array_pos,
                                    a_in->cardinality, (uint16_t)start);

        if (in_array_pos >= a_in->cardinality) {  // run has no items subtracted
            for (int32_t i = start; i < end; ++i)
                a_out->array[out_card++] = (uint16_t)i;
        } else {
            uint16_t next_nonincluded = a_in->array[in_array_pos];
            if (next_nonincluded >= end) {
                // another case when run goes unaltered
                for (int32_t i = start; i < end; ++i)
                    a_out->array[out_card++] = (uint16_t)i;
                in_array_pos--;  // ensure we see this item again if necessary
            } else {
                for (int32_t i = start; i < end; ++i)
                    if (i != next_nonincluded)
                        a_out->array[out_card++] = (uint16_t)i;
                    else  // 0 should ensure  we don't match
                        next_nonincluded =
                            (in_array_pos + 1 >= a_in->cardinality)
                                ? 0
                                : a_in->array[++in_array_pos];
                in_array_pos--;  // see again
            }
        }
    }
    return out_card;
}

/* dst does not indicate a valid container initially.  Eventually it
 * can become any type of container.
 */

int run_array_container_andnot(const run_container_t *src_1,
                               const array_container_t *src_2,
                               container_t **dst) {
    // follows the Java impl as of June 2016

    int card = run_container_cardinality(src_1);
    const int arbitrary_threshold = 32;

    if (card <= arbitrary_threshold) {
        if (src_2->cardinality == 0) {
            *dst = run_container_clone(src_1);
            return RUN_CONTAINER_TYPE;
        }
        // Java's "lazyandNot.toEfficientContainer" thing
        run_container_t *answer = run_container_create_given_capacity(
            card + array_container_cardinality(src_2));

        int rlepos = 0;
        int xrlepos = 0;  // "x" is src_2
        rle16_t rle = src_1->runs[rlepos];
        int32_t start = rle.value;
        int32_t end = start + rle.length + 1;
        int32_t xstart = src_2->array[xrlepos];

        while ((rlepos < src_1->n_runs) && (xrlepos < src_2->cardinality)) {
            if (end <= xstart) {
                // output the first run
                answer->runs[answer->n_runs++] =
                    CROARING_MAKE_RLE16(start, end - start - 1);
                rlepos++;
                if (rlepos < src_1->n_runs) {
                    start = src_1->runs[rlepos].value;
                    end = start + src_1->runs[rlepos].length + 1;
                }
            } else if (xstart + 1 <= start) {
                // exit the second run
                xrlepos++;
                if (xrlepos < src_2->cardinality) {
                    xstart = src_2->array[xrlepos];
                }
            } else {
                if (start < xstart) {
                    answer->runs[answer->n_runs++] =
                        CROARING_MAKE_RLE16(start, xstart - start - 1);
                }
                if (xstart + 1 < end) {
                    start = xstart + 1;
                } else {
                    rlepos++;
                    if (rlepos < src_1->n_runs) {
                        start = src_1->runs[rlepos].value;
                        end = start + src_1->runs[rlepos].length + 1;
                    }
                }
            }
        }
        if (rlepos < src_1->n_runs) {
            answer->runs[answer->n_runs++] =
                CROARING_MAKE_RLE16(start, end - start - 1);
            rlepos++;
            if (rlepos < src_1->n_runs) {
                memcpy(answer->runs + answer->n_runs, src_1->runs + rlepos,
                       (src_1->n_runs - rlepos) * sizeof(rle16_t));
                answer->n_runs += (src_1->n_runs - rlepos);
            }
        }
        uint8_t return_type;
        *dst = convert_run_to_efficient_container(answer, &return_type);
        if (answer != *dst) run_container_free(answer);
        return return_type;
    }
    // else it's a bitmap or array

    if (card <= DEFAULT_MAX_SIZE) {
        array_container_t *ac = array_container_create_given_capacity(card);
        // nb Java code used a generic iterator-based merge to compute
        // difference
        ac->cardinality = run_array_array_subtract(src_1, src_2, ac);
        *dst = ac;
        return ARRAY_CONTAINER_TYPE;
    }
    bitset_container_t *ans = bitset_container_from_run(src_1);
    bool result_is_bitset = bitset_array_container_iandnot(ans, src_2, dst);
    return (result_is_bitset ? BITSET_CONTAINER_TYPE : ARRAY_CONTAINER_TYPE);
}

/* Compute the andnot of src_1 and src_2 and write the result to
 * dst (which has no container initially).  It will modify src_1
 * to be dst if the result is a bitset.  Otherwise, it will
 * free src_1 and dst will be a new array container.  In both
 * cases, the caller is responsible for deallocating dst.
 * Returns true iff dst is a bitset  */

int run_array_container_iandnot(run_container_t *src_1,
                                const array_container_t *src_2,
                                container_t **dst) {
    // dummy implementation same as June 2016 Java
    int ans = run_array_container_andnot(src_1, src_2, dst);
    run_container_free(src_1);
    return ans;
}

/* dst must be a valid array container, allowed to be src_1 */

void array_run_container_andnot(const array_container_t *src_1,
                                const run_container_t *src_2,
                                array_container_t *dst) {
    // basically following Java impl as of June 2016
    if (src_1->cardinality > dst->capacity) {
        array_container_grow(dst, src_1->cardinality, false);
    }

    if (src_2->n_runs == 0) {
        memmove(dst->array, src_1->array,
                sizeof(uint16_t) * src_1->cardinality);
        dst->cardinality = src_1->cardinality;
        return;
    }
    int32_t run_start = src_2->runs[0].value;
    int32_t run_end = run_start + src_2->runs[0].length;
    int which_run = 0;

    uint16_t val = 0;
    int dest_card = 0;
    for (int i = 0; i < src_1->cardinality; ++i) {
        val = src_1->array[i];
        if (val < run_start)
            dst->array[dest_card++] = val;
        else if (val <= run_end) {
            ;  // omitted item
        } else {
            do {
                if (which_run + 1 < src_2->n_runs) {
                    ++which_run;
                    run_start = src_2->runs[which_run].value;
                    run_end = run_start + src_2->runs[which_run].length;

                } else
                    run_start = run_end = (1 << 16) + 1;
            } while (val > run_end);
            --i;
        }
    }
    dst->cardinality = dest_card;
}

/* dst does not indicate a valid container initially.  Eventually it
 * can become any kind of container.
 */

void array_run_container_iandnot(array_container_t *src_1,
                                 const run_container_t *src_2) {
    array_run_container_andnot(src_1, src_2, src_1);
}

/* dst does not indicate a valid container initially.  Eventually it
 * can become any kind of container.
 */

int run_run_container_andnot(const run_container_t *src_1,
                             const run_container_t *src_2, container_t **dst) {
    run_container_t *ans = run_container_create();
    run_container_andnot(src_1, src_2, ans);
    uint8_t typecode_after;
    *dst = convert_run_to_efficient_container_and_free(ans, &typecode_after);
    return typecode_after;
}

/* Compute the andnot of src_1 and src_2 and write the result to
 * dst (which has no container initially).  It will modify src_1
 * to be dst if the result is a bitset.  Otherwise, it will
 * free src_1 and dst will be a new array container.  In both
 * cases, the caller is responsible for deallocating dst.
 * Returns true iff dst is a bitset  */

int run_run_container_iandnot(run_container_t *src_1,
                              const run_container_t *src_2, container_t **dst) {
    // following Java impl as of June 2016 (dummy)
    int ans = run_run_container_andnot(src_1, src_2, dst);
    run_container_free(src_1);
    return ans;
}

/*
 * dst is a valid array container and may be the same as src_1
 */

void array_array_container_andnot(const array_container_t *src_1,
                                  const array_container_t *src_2,
                                  array_container_t *dst) {
    array_container_andnot(src_1, src_2, dst);
}

/* inplace array-array andnot will always be able to reuse the space of
 * src_1 */
void array_array_container_iandnot(array_container_t *src_1,
                                   const array_container_t *src_2) {
    array_container_andnot(src_1, src_2, src_1);
}

/* Compute the andnot of src_1 and src_2 and write the result to
 * dst (which has no container initially). Return value is
 * "dst is a bitset"
 */

bool bitset_bitset_container_andnot(const bitset_container_t *src_1,
                                    const bitset_container_t *src_2,
                                    container_t **dst) {
    bitset_container_t *ans = bitset_container_create();
    int card = bitset_container_andnot(src_1, src_2, ans);
    if (card <= DEFAULT_MAX_SIZE) {
        *dst = array_container_from_bitset(ans);
        bitset_container_free(ans);
        return false;  // not bitset
    } else {
        *dst = ans;
        return true;
    }
}

/* Compute the andnot of src_1 and src_2 and write the result to
 * dst (which has no container initially).  It will modify src_1
 * to be dst if the result is a bitset.  Otherwise, it will
 * free src_1 and dst will be a new array container.  In both
 * cases, the caller is responsible for deallocating dst.
 * Returns true iff dst is a bitset  */

bool bitset_bitset_container_iandnot(bitset_container_t *src_1,
                                     const bitset_container_t *src_2,
                                     container_t **dst) {
    int card = bitset_container_andnot(src_1, src_2, src_1);
    if (card <= DEFAULT_MAX_SIZE) {
        *dst = array_container_from_bitset(src_1);
        bitset_container_free(src_1);
        return false;  // not bitset
    } else {
        *dst = src_1;
        return true;
    }
}

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace internal {
#endif
/* end file src/containers/mixed_andnot.c */
/* begin file src/containers/mixed_equal.c */

#ifdef __cplusplus
extern "C" {
namespace roaring {
namespace internal {
#endif

bool array_container_equal_bitset(const array_container_t* container1,
                                  const bitset_container_t* container2) {
    if (container2->cardinality != BITSET_UNKNOWN_CARDINALITY) {
        if (container2->cardinality != container1->cardinality) {
            return false;
        }
    }
    int32_t pos = 0;
    for (int32_t i = 0; i < BITSET_CONTAINER_SIZE_IN_WORDS; ++i) {
        uint64_t w = container2->words[i];
        while (w != 0) {
            uint64_t t = w & (~w + 1);
            uint16_t r = i * 64 + roaring_trailing_zeroes(w);
            if (pos >= container1->cardinality) {
                return false;
            }
            if (container1->array[pos] != r) {
                return false;
            }
            ++pos;
            w ^= t;
        }
    }
    return (pos == container1->cardinality);
}

bool run_container_equals_array(const run_container_t* container1,
                                const array_container_t* container2) {
    if (run_container_cardinality(container1) != container2->cardinality)
        return false;
    int32_t pos = 0;
    for (int i = 0; i < container1->n_runs; ++i) {
        const uint32_t run_start = container1->runs[i].value;
        const uint32_t le = container1->runs[i].length;

        if (container2->array[pos] != run_start) {
            return false;
        }

        if (container2->array[pos + le] != run_start + le) {
            return false;
        }

        pos += le + 1;
    }
    return true;
}

bool run_container_equals_bitset(const run_container_t* container1,
                                 const bitset_container_t* container2) {
    int run_card = run_container_cardinality(container1);
    int bitset_card = (container2->cardinality != BITSET_UNKNOWN_CARDINALITY)
                          ? container2->cardinality
                          : bitset_container_compute_cardinality(container2);
    if (bitset_card != run_card) {
        return false;
    }

    for (int32_t i = 0; i < container1->n_runs; i++) {
        uint32_t begin = container1->runs[i].value;
        if (container1->runs[i].length) {
            uint32_t end = begin + container1->runs[i].length + 1;
            if (!bitset_container_contains_range(container2, begin, end)) {
                return false;
            }
        } else {
            if (!bitset_container_contains(container2, begin)) {
                return false;
            }
        }
    }

    return true;
}

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace internal {
#endif
/* end file src/containers/mixed_equal.c */
/* begin file src/containers/mixed_intersection.c */
/*
 * mixed_intersection.c
 *
 */


#ifdef __cplusplus
extern "C" {
namespace roaring {
namespace internal {
#endif

/* Compute the intersection of src_1 and src_2 and write the result to
 * dst.  */
void array_bitset_container_intersection(const array_container_t *src_1,
                                         const bitset_container_t *src_2,
                                         array_container_t *dst) {
    if (dst->capacity < src_1->cardinality) {
        array_container_grow(dst, src_1->cardinality, false);
    }
    int32_t newcard = 0;  // dst could be src_1
    const int32_t origcard = src_1->cardinality;
    for (int i = 0; i < origcard; ++i) {
        uint16_t key = src_1->array[i];
        // this branchless approach is much faster...
        dst->array[newcard] = key;
        newcard += bitset_container_contains(src_2, key);
        /**
         * we could do it this way instead...
         * if (bitset_container_contains(src_2, key)) {
         * dst->array[newcard++] = key;
         * }
         * but if the result is unpredictible, the processor generates
         * many mispredicted branches.
         * Difference can be huge (from 3 cycles when predictible all the way
         * to 16 cycles when unpredictible.
         * See
         * https://github.com/lemire/Code-used-on-Daniel-Lemire-s-blog/blob/master/extra/bitset/c/arraybitsetintersection.c
         */
    }
    dst->cardinality = newcard;
}

/* Compute the size of the intersection of src_1 and src_2. */
int array_bitset_container_intersection_cardinality(
    const array_container_t *src_1, const bitset_container_t *src_2) {
    int32_t newcard = 0;
    const int32_t origcard = src_1->cardinality;
    for (int i = 0; i < origcard; ++i) {
        uint16_t key = src_1->array[i];
        newcard += bitset_container_contains(src_2, key);
    }
    return newcard;
}

bool array_bitset_container_intersect(const array_container_t *src_1,
                                      const bitset_container_t *src_2) {
    const int32_t origcard = src_1->cardinality;
    for (int i = 0; i < origcard; ++i) {
        uint16_t key = src_1->array[i];
        if (bitset_container_contains(src_2, key)) return true;
    }
    return false;
}

/* Compute the intersection of src_1 and src_2 and write the result to
 * dst. It is allowed for dst to be equal to src_1. We assume that dst is a
 * valid container. */
void array_run_container_intersection(const array_container_t *src_1,
                                      const run_container_t *src_2,
                                      array_container_t *dst) {
    if (run_container_is_full(src_2)) {
        if (dst != src_1) array_container_copy(src_1, dst);
        return;
    }
    if (dst->capacity < src_1->cardinality) {
        array_container_grow(dst, src_1->cardinality, false);
    }
    if (src_2->n_runs == 0) {
        return;
    }
    int32_t rlepos = 0;
    int32_t arraypos = 0;
    rle16_t rle = src_2->runs[rlepos];
    int32_t newcard = 0;
    while (arraypos < src_1->cardinality) {
        const uint16_t arrayval = src_1->array[arraypos];
        while (rle.value + rle.length <
               arrayval) {  // this will frequently be false
            ++rlepos;
            if (rlepos == src_2->n_runs) {
                dst->cardinality = newcard;
                return;  // we are done
            }
            rle = src_2->runs[rlepos];
        }
        if (rle.value > arrayval) {
            arraypos = advanceUntil(src_1->array, arraypos, src_1->cardinality,
                                    rle.value);
        } else {
            dst->array[newcard] = arrayval;
            newcard++;
            arraypos++;
        }
    }
    dst->cardinality = newcard;
}

/* Compute the intersection of src_1 and src_2 and write the result to
 * *dst. If the result is true then the result is a bitset_container_t
 * otherwise is a array_container_t. If *dst ==  src_2, an in-place processing
 * is attempted.*/
bool run_bitset_container_intersection(const run_container_t *src_1,
                                       const bitset_container_t *src_2,
                                       container_t **dst) {
    if (run_container_is_full(src_1)) {
        if (*dst != src_2) *dst = bitset_container_clone(src_2);
        return true;
    }
    int32_t card = run_container_cardinality(src_1);
    if (card <= DEFAULT_MAX_SIZE) {
        // result can only be an array (assuming that we never make a
        // RunContainer)
        if (card > src_2->cardinality) {
            card = src_2->cardinality;
        }
        array_container_t *answer = array_container_create_given_capacity(card);
        *dst = answer;
        if (*dst == NULL) {
            return false;
        }
        for (int32_t rlepos = 0; rlepos < src_1->n_runs; ++rlepos) {
            rle16_t rle = src_1->runs[rlepos];
            uint32_t endofrun = (uint32_t)rle.value + rle.length;
            for (uint32_t runValue = rle.value; runValue <= endofrun;
                 ++runValue) {
                answer->array[answer->cardinality] = (uint16_t)runValue;
                answer->cardinality +=
                    bitset_container_contains(src_2, runValue);
            }
        }
        return false;
    }
    if (*dst == src_2) {  // we attempt in-place
        bitset_container_t *answer = CAST_bitset(*dst);
        uint32_t start = 0;
        for (int32_t rlepos = 0; rlepos < src_1->n_runs; ++rlepos) {
            const rle16_t rle = src_1->runs[rlepos];
            uint32_t end = rle.value;
            bitset_reset_range(src_2->words, start, end);

            start = end + rle.length + 1;
        }
        bitset_reset_range(src_2->words, start, UINT32_C(1) << 16);
        answer->cardinality = bitset_container_compute_cardinality(answer);
        if (src_2->cardinality > DEFAULT_MAX_SIZE) {
            return true;
        } else {
            array_container_t *newanswer = array_container_from_bitset(src_2);
            if (newanswer == NULL) {
                *dst = NULL;
                return false;
            }
            *dst = newanswer;
            return false;
        }
    } else {  // no inplace
        // we expect the answer to be a bitmap (if we are lucky)
        bitset_container_t *answer = bitset_container_clone(src_2);

        *dst = answer;
        if (answer == NULL) {
            return true;
        }
        uint32_t start = 0;
        for (int32_t rlepos = 0; rlepos < src_1->n_runs; ++rlepos) {
            const rle16_t rle = src_1->runs[rlepos];
            uint32_t end = rle.value;
            bitset_reset_range(answer->words, start, end);
            start = end + rle.length + 1;
        }
        bitset_reset_range(answer->words, start, UINT32_C(1) << 16);
        answer->cardinality = bitset_container_compute_cardinality(answer);

        if (answer->cardinality > DEFAULT_MAX_SIZE) {
            return true;
        } else {
            array_container_t *newanswer = array_container_from_bitset(answer);
            bitset_container_free(CAST_bitset(*dst));
            if (newanswer == NULL) {
                *dst = NULL;
                return false;
            }
            *dst = newanswer;
            return false;
        }
    }
}

/* Compute the size of the intersection between src_1 and src_2 . */
int array_run_container_intersection_cardinality(const array_container_t *src_1,
                                                 const run_container_t *src_2) {
    if (run_container_is_full(src_2)) {
        return src_1->cardinality;
    }
    if (src_2->n_runs == 0) {
        return 0;
    }
    int32_t rlepos = 0;
    int32_t arraypos = 0;
    rle16_t rle = src_2->runs[rlepos];
    int32_t newcard = 0;
    while (arraypos < src_1->cardinality) {
        const uint16_t arrayval = src_1->array[arraypos];
        while (rle.value + rle.length <
               arrayval) {  // this will frequently be false
            ++rlepos;
            if (rlepos == src_2->n_runs) {
                return newcard;  // we are done
            }
            rle = src_2->runs[rlepos];
        }
        if (rle.value > arrayval) {
            arraypos = advanceUntil(src_1->array, arraypos, src_1->cardinality,
                                    rle.value);
        } else {
            newcard++;
            arraypos++;
        }
    }
    return newcard;
}

/* Compute the intersection  between src_1 and src_2
 **/
int run_bitset_container_intersection_cardinality(
    const run_container_t *src_1, const bitset_container_t *src_2) {
    if (run_container_is_full(src_1)) {
        return bitset_container_cardinality(src_2);
    }
    int answer = 0;
    for (int32_t rlepos = 0; rlepos < src_1->n_runs; ++rlepos) {
        rle16_t rle = src_1->runs[rlepos];
        answer +=
            bitset_lenrange_cardinality(src_2->words, rle.value, rle.length);
    }
    return answer;
}

bool array_run_container_intersect(const array_container_t *src_1,
                                   const run_container_t *src_2) {
    if (run_container_is_full(src_2)) {
        return !array_container_empty(src_1);
    }
    if (src_2->n_runs == 0) {
        return false;
    }
    int32_t rlepos = 0;
    int32_t arraypos = 0;
    rle16_t rle = src_2->runs[rlepos];
    while (arraypos < src_1->cardinality) {
        const uint16_t arrayval = src_1->array[arraypos];
        while (rle.value + rle.length <
               arrayval) {  // this will frequently be false
            ++rlepos;
            if (rlepos == src_2->n_runs) {
                return false;  // we are done
            }
            rle = src_2->runs[rlepos];
        }
        if (rle.value > arrayval) {
            arraypos = advanceUntil(src_1->array, arraypos, src_1->cardinality,
                                    rle.value);
        } else {
            return true;
        }
    }
    return false;
}

/* Compute the intersection  between src_1 and src_2
 **/
bool run_bitset_container_intersect(const run_container_t *src_1,
                                    const bitset_container_t *src_2) {
    if (run_container_is_full(src_1)) {
        return !bitset_container_empty(src_2);
    }
    for (int32_t rlepos = 0; rlepos < src_1->n_runs; ++rlepos) {
        rle16_t rle = src_1->runs[rlepos];
        if (!bitset_lenrange_empty(src_2->words, rle.value, rle.length))
            return true;
    }
    return false;
}

/*
 * Compute the intersection between src_1 and src_2 and write the result
 * to *dst. If the return function is true, the result is a bitset_container_t
 * otherwise is a array_container_t.
 */
bool bitset_bitset_container_intersection(const bitset_container_t *src_1,
                                          const bitset_container_t *src_2,
                                          container_t **dst) {
    const int newCardinality = bitset_container_and_justcard(src_1, src_2);
    if (newCardinality > DEFAULT_MAX_SIZE) {
        *dst = bitset_container_create();
        if (*dst != NULL) {
            bitset_container_and_nocard(src_1, src_2, CAST_bitset(*dst));
            CAST_bitset(*dst)->cardinality = newCardinality;
        }
        return true;  // it is a bitset
    }
    *dst = array_container_create_given_capacity(newCardinality);
    if (*dst != NULL) {
        CAST_array(*dst)->cardinality = newCardinality;
        bitset_extract_intersection_setbits_uint16(
            src_1->words, src_2->words, BITSET_CONTAINER_SIZE_IN_WORDS,
            CAST_array(*dst)->array, 0);
    }
    return false;  // not a bitset
}

bool bitset_bitset_container_intersection_inplace(
    bitset_container_t *src_1, const bitset_container_t *src_2,
    container_t **dst) {
    const int newCardinality = bitset_container_and_justcard(src_1, src_2);
    if (newCardinality > DEFAULT_MAX_SIZE) {
        *dst = src_1;
        bitset_container_and_nocard(src_1, src_2, src_1);
        CAST_bitset(*dst)->cardinality = newCardinality;
        return true;  // it is a bitset
    }
    *dst = array_container_create_given_capacity(newCardinality);
    if (*dst != NULL) {
        CAST_array(*dst)->cardinality = newCardinality;
        bitset_extract_intersection_setbits_uint16(
            src_1->words, src_2->words, BITSET_CONTAINER_SIZE_IN_WORDS,
            CAST_array(*dst)->array, 0);
    }
    return false;  // not a bitset
}

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace internal {
#endif
/* end file src/containers/mixed_intersection.c */
/* begin file src/containers/mixed_negation.c */
/*
 * mixed_negation.c
 *
 */

#include <assert.h>
#include <string.h>


#ifdef __cplusplus
extern "C" {
namespace roaring {
namespace internal {
#endif

// TODO: make simplified and optimized negation code across
// the full range.

/* Negation across the entire range of the container.
 * Compute the  negation of src  and write the result
 * to *dst. The complement of a
 * sufficiently sparse set will always be dense and a hence a bitmap
' * We assume that dst is pre-allocated and a valid bitset container
 * There can be no in-place version.
 */
void array_container_negation(const array_container_t *src,
                              bitset_container_t *dst) {
    uint64_t card = UINT64_C(1 << 16);
    bitset_container_set_all(dst);

    if (src->cardinality == 0) {
        return;
    }

    dst->cardinality = (int32_t)bitset_clear_list(dst->words, card, src->array,
                                                  (uint64_t)src->cardinality);
}

/* Negation across the entire range of the container
 * Compute the  negation of src  and write the result
 * to *dst.  A true return value indicates a bitset result,
 * otherwise the result is an array container.
 *  We assume that dst is not pre-allocated. In
 * case of failure, *dst will be NULL.
 */
bool bitset_container_negation(const bitset_container_t *src,
                               container_t **dst) {
    return bitset_container_negation_range(src, 0, (1 << 16), dst);
}

/* inplace version */
/*
 * Same as bitset_container_negation except that if the output is to
 * be a
 * bitset_container_t, then src is modified and no allocation is made.
 * If the output is to be an array_container_t, then caller is responsible
 * to free the container.
 * In all cases, the result is in *dst.
 */
bool bitset_container_negation_inplace(bitset_container_t *src,
                                       container_t **dst) {
    return bitset_container_negation_range_inplace(src, 0, (1 << 16), dst);
}

/* Negation across the entire range of container
 * Compute the  negation of src  and write the result
 * to *dst.  Return values are the *_TYPECODES as defined * in containers.h
 *  We assume that dst is not pre-allocated. In
 * case of failure, *dst will be NULL.
 */
int run_container_negation(const run_container_t *src, container_t **dst) {
    return run_container_negation_range(src, 0, (1 << 16), dst);
}

/*
 * Same as run_container_negation except that if the output is to
 * be a
 * run_container_t, and has the capacity to hold the result,
 * then src is modified and no allocation is made.
 * In all cases, the result is in *dst.
 */
int run_container_negation_inplace(run_container_t *src, container_t **dst) {
    return run_container_negation_range_inplace(src, 0, (1 << 16), dst);
}

/* Negation across a range of the container.
 * Compute the  negation of src  and write the result
 * to *dst. Returns true if the result is a bitset container
 * and false for an array container.  *dst is not preallocated.
 */
bool array_container_negation_range(const array_container_t *src,
                                    const int range_start, const int range_end,
                                    container_t **dst) {
    /* close port of the Java implementation */
    if (range_start >= range_end) {
        *dst = array_container_clone(src);
        return false;
    }

    int32_t start_index =
        binarySearch(src->array, src->cardinality, (uint16_t)range_start);
    if (start_index < 0) start_index = -start_index - 1;

    int32_t last_index =
        binarySearch(src->array, src->cardinality, (uint16_t)(range_end - 1));
    if (last_index < 0) last_index = -last_index - 2;

    const int32_t current_values_in_range = last_index - start_index + 1;
    const int32_t span_to_be_flipped = range_end - range_start;
    const int32_t new_values_in_range =
        span_to_be_flipped - current_values_in_range;
    const int32_t cardinality_change =
        new_values_in_range - current_values_in_range;
    const int32_t new_cardinality = src->cardinality + cardinality_change;

    if (new_cardinality > DEFAULT_MAX_SIZE) {
        bitset_container_t *temp = bitset_container_from_array(src);
        bitset_flip_range(temp->words, (uint32_t)range_start,
                          (uint32_t)range_end);
        temp->cardinality = new_cardinality;
        *dst = temp;
        return true;
    }

    array_container_t *arr =
        array_container_create_given_capacity(new_cardinality);
    *dst = (container_t *)arr;
    if (new_cardinality == 0) {
        arr->cardinality = new_cardinality;
        return false;  // we are done.
    }
    // copy stuff before the active area
    memcpy(arr->array, src->array, start_index * sizeof(uint16_t));

    // work on the range
    int32_t out_pos = start_index, in_pos = start_index;
    int32_t val_in_range = range_start;
    for (; val_in_range < range_end && in_pos <= last_index; ++val_in_range) {
        if ((uint16_t)val_in_range != src->array[in_pos]) {
            arr->array[out_pos++] = (uint16_t)val_in_range;
        } else {
            ++in_pos;
        }
    }
    for (; val_in_range < range_end; ++val_in_range)
        arr->array[out_pos++] = (uint16_t)val_in_range;

    // content after the active range
    memcpy(arr->array + out_pos, src->array + (last_index + 1),
           (src->cardinality - (last_index + 1)) * sizeof(uint16_t));
    arr->cardinality = new_cardinality;
    return false;
}

/* Even when the result would fit, it is unclear how to make an
 * inplace version without inefficient copying.
 */

bool array_container_negation_range_inplace(array_container_t *src,
                                            const int range_start,
                                            const int range_end,
                                            container_t **dst) {
    bool ans = array_container_negation_range(src, range_start, range_end, dst);
    // TODO : try a real inplace version
    array_container_free(src);
    return ans;
}

/* Negation across a range of the container
 * Compute the  negation of src  and write the result
 * to *dst.  A true return value indicates a bitset result,
 * otherwise the result is an array container.
 *  We assume that dst is not pre-allocated. In
 * case of failure, *dst will be NULL.
 */
bool bitset_container_negation_range(const bitset_container_t *src,
                                     const int range_start, const int range_end,
                                     container_t **dst) {
    // TODO maybe consider density-based estimate
    // and sometimes build result directly as array, with
    // conversion back to bitset if wrong.  Or determine
    // actual result cardinality, then go directly for the known final cont.

    // keep computation using bitsets as long as possible.
    bitset_container_t *t = bitset_container_clone(src);
    bitset_flip_range(t->words, (uint32_t)range_start, (uint32_t)range_end);
    t->cardinality = bitset_container_compute_cardinality(t);

    if (t->cardinality > DEFAULT_MAX_SIZE) {
        *dst = t;
        return true;
    } else {
        *dst = array_container_from_bitset(t);
        bitset_container_free(t);
        return false;
    }
}

/* inplace version */
/*
 * Same as bitset_container_negation except that if the output is to
 * be a
 * bitset_container_t, then src is modified and no allocation is made.
 * If the output is to be an array_container_t, then caller is responsible
 * to free the container.
 * In all cases, the result is in *dst.
 */
bool bitset_container_negation_range_inplace(bitset_container_t *src,
                                             const int range_start,
                                             const int range_end,
                                             container_t **dst) {
    bitset_flip_range(src->words, (uint32_t)range_start, (uint32_t)range_end);
    src->cardinality = bitset_container_compute_cardinality(src);
    if (src->cardinality > DEFAULT_MAX_SIZE) {
        *dst = src;
        return true;
    }
    *dst = array_container_from_bitset(src);
    bitset_container_free(src);
    return false;
}

/* Negation across a range of container
 * Compute the  negation of src  and write the result
 * to *dst. Return values are the *_TYPECODES as defined * in containers.h
 *  We assume that dst is not pre-allocated. In
 * case of failure, *dst will be NULL.
 */
int run_container_negation_range(const run_container_t *src,
                                 const int range_start, const int range_end,
                                 container_t **dst) {
    uint8_t return_typecode;

    // follows the Java implementation
    if (range_end <= range_start) {
        *dst = run_container_clone(src);
        return RUN_CONTAINER_TYPE;
    }

    run_container_t *ans = run_container_create_given_capacity(
        src->n_runs + 1);  // src->n_runs + 1);
    int k = 0;
    for (; k < src->n_runs && src->runs[k].value < range_start; ++k) {
        ans->runs[k] = src->runs[k];
        ans->n_runs++;
    }

    run_container_smart_append_exclusive(
        ans, (uint16_t)range_start, (uint16_t)(range_end - range_start - 1));

    for (; k < src->n_runs; ++k) {
        run_container_smart_append_exclusive(ans, src->runs[k].value,
                                             src->runs[k].length);
    }

    *dst = convert_run_to_efficient_container(ans, &return_typecode);
    if (return_typecode != RUN_CONTAINER_TYPE) run_container_free(ans);

    return return_typecode;
}

/*
 * Same as run_container_negation except that if the output is to
 * be a
 * run_container_t, and has the capacity to hold the result,
 * then src is modified and no allocation is made.
 * In all cases, the result is in *dst.
 */
int run_container_negation_range_inplace(run_container_t *src,
                                         const int range_start,
                                         const int range_end,
                                         container_t **dst) {
    uint8_t return_typecode;

    if (range_end <= range_start) {
        *dst = src;
        return RUN_CONTAINER_TYPE;
    }

    // TODO: efficient special case when range is 0 to 65535 inclusive

    if (src->capacity == src->n_runs) {
        // no excess room.  More checking to see if result can fit
        bool last_val_before_range = false;
        bool first_val_in_range = false;
        bool last_val_in_range = false;
        bool first_val_past_range = false;

        if (range_start > 0)
            last_val_before_range =
                run_container_contains(src, (uint16_t)(range_start - 1));
        first_val_in_range = run_container_contains(src, (uint16_t)range_start);

        if (last_val_before_range == first_val_in_range) {
            last_val_in_range =
                run_container_contains(src, (uint16_t)(range_end - 1));
            if (range_end != 0x10000)
                first_val_past_range =
                    run_container_contains(src, (uint16_t)range_end);

            if (last_val_in_range ==
                first_val_past_range) {  // no space for inplace
                int ans = run_container_negation_range(src, range_start,
                                                       range_end, dst);
                run_container_free(src);
                return ans;
            }
        }
    }
    // all other cases: result will fit

    run_container_t *ans = src;
    int my_nbr_runs = src->n_runs;

    ans->n_runs = 0;
    int k = 0;
    for (; (k < my_nbr_runs) && (src->runs[k].value < range_start); ++k) {
        // ans->runs[k] = src->runs[k]; (would be self-copy)
        ans->n_runs++;
    }

    // as with Java implementation, use locals to give self a buffer of depth 1
    rle16_t buffered = CROARING_MAKE_RLE16(0, 0);
    rle16_t next = buffered;
    if (k < my_nbr_runs) buffered = src->runs[k];

    run_container_smart_append_exclusive(
        ans, (uint16_t)range_start, (uint16_t)(range_end - range_start - 1));

    for (; k < my_nbr_runs; ++k) {
        if (k + 1 < my_nbr_runs) next = src->runs[k + 1];

        run_container_smart_append_exclusive(ans, buffered.value,
                                             buffered.length);
        buffered = next;
    }

    *dst = convert_run_to_efficient_container(ans, &return_typecode);
    if (return_typecode != RUN_CONTAINER_TYPE) run_container_free(ans);

    return return_typecode;
}

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace internal {
#endif
/* end file src/containers/mixed_negation.c */
/* begin file src/containers/mixed_subset.c */

#ifdef __cplusplus
extern "C" {
namespace roaring {
namespace internal {
#endif

bool array_container_is_subset_bitset(const array_container_t* container1,
                                      const bitset_container_t* container2) {
    if (container2->cardinality != BITSET_UNKNOWN_CARDINALITY) {
        if (container2->cardinality < container1->cardinality) {
            return false;
        }
    }
    for (int i = 0; i < container1->cardinality; ++i) {
        if (!bitset_container_contains(container2, container1->array[i])) {
            return false;
        }
    }
    return true;
}

bool run_container_is_subset_array(const run_container_t* container1,
                                   const array_container_t* container2) {
    if (run_container_cardinality(container1) > container2->cardinality)
        return false;
    int32_t start_pos = -1, stop_pos = -1;
    for (int i = 0; i < container1->n_runs; ++i) {
        int32_t start = container1->runs[i].value;
        int32_t stop = start + container1->runs[i].length;
        start_pos = advanceUntil(container2->array, stop_pos,
                                 container2->cardinality, start);
        stop_pos = advanceUntil(container2->array, stop_pos,
                                container2->cardinality, stop);
        if (stop_pos == container2->cardinality) {
            return false;
        } else if (stop_pos - start_pos != stop - start ||
                   container2->array[start_pos] != start ||
                   container2->array[stop_pos] != stop) {
            return false;
        }
    }
    return true;
}

bool array_container_is_subset_run(const array_container_t* container1,
                                   const run_container_t* container2) {
    if (container1->cardinality > run_container_cardinality(container2))
        return false;
    int i_array = 0, i_run = 0;
    while (i_array < container1->cardinality && i_run < container2->n_runs) {
        uint32_t start = container2->runs[i_run].value;
        uint32_t stop = start + container2->runs[i_run].length;
        if (container1->array[i_array] < start) {
            return false;
        } else if (container1->array[i_array] > stop) {
            i_run++;
        } else {  // the value of the array is in the run
            i_array++;
        }
    }
    if (i_array == container1->cardinality) {
        return true;
    } else {
        return false;
    }
}

bool run_container_is_subset_bitset(const run_container_t* container1,
                                    const bitset_container_t* container2) {
    // todo: this code could be much faster
    if (container2->cardinality != BITSET_UNKNOWN_CARDINALITY) {
        if (container2->cardinality < run_container_cardinality(container1)) {
            return false;
        }
    } else {
        int32_t card = bitset_container_compute_cardinality(
            container2);  // modify container2?
        if (card < run_container_cardinality(container1)) {
            return false;
        }
    }
    for (int i = 0; i < container1->n_runs; ++i) {
        uint32_t run_start = container1->runs[i].value;
        uint32_t le = container1->runs[i].length;
        for (uint32_t j = run_start; j <= run_start + le; ++j) {
            if (!bitset_container_contains(container2, j)) {
                return false;
            }
        }
    }
    return true;
}

bool bitset_container_is_subset_run(const bitset_container_t* container1,
                                    const run_container_t* container2) {
    // todo: this code could be much faster
    if (container1->cardinality != BITSET_UNKNOWN_CARDINALITY) {
        if (container1->cardinality > run_container_cardinality(container2)) {
            return false;
        }
    }
    int32_t i_bitset = 0, i_run = 0;
    while (i_bitset < BITSET_CONTAINER_SIZE_IN_WORDS &&
           i_run < container2->n_runs) {
        uint64_t w = container1->words[i_bitset];
        while (w != 0 && i_run < container2->n_runs) {
            uint32_t start = container2->runs[i_run].value;
            uint32_t stop = start + container2->runs[i_run].length;
            uint64_t t = w & (~w + 1);
            uint16_t r = i_bitset * 64 + roaring_trailing_zeroes(w);
            if (r < start) {
                return false;
            } else if (r > stop) {
                i_run++;
                continue;
            } else {
                w ^= t;
            }
        }
        if (w == 0) {
            i_bitset++;
        } else {
            return false;
        }
    }
    if (i_bitset < BITSET_CONTAINER_SIZE_IN_WORDS) {
        // terminated iterating on the run containers, check that rest of bitset
        // is empty
        for (; i_bitset < BITSET_CONTAINER_SIZE_IN_WORDS; i_bitset++) {
            if (container1->words[i_bitset] != 0) {
                return false;
            }
        }
    }
    return true;
}

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace internal {
#endif
/* end file src/containers/mixed_subset.c */
/* begin file src/containers/mixed_union.c */
/*
 * mixed_union.c
 *
 */

#include <assert.h>
#include <string.h>


#ifdef __cplusplus
extern "C" {
namespace roaring {
namespace internal {
#endif

/* Compute the union of src_1 and src_2 and write the result to
 * dst.  */
void array_bitset_container_union(const array_container_t *src_1,
                                  const bitset_container_t *src_2,
                                  bitset_container_t *dst) {
    if (src_2 != dst) bitset_container_copy(src_2, dst);
    dst->cardinality = (int32_t)bitset_set_list_withcard(
        dst->words, dst->cardinality, src_1->array, src_1->cardinality);
}

/* Compute the union of src_1 and src_2 and write the result to
 * dst. It is allowed for src_2 to be dst.  This version does not
 * update the cardinality of dst (it is set to BITSET_UNKNOWN_CARDINALITY). */
void array_bitset_container_lazy_union(const array_container_t *src_1,
                                       const bitset_container_t *src_2,
                                       bitset_container_t *dst) {
    if (src_2 != dst) bitset_container_copy(src_2, dst);
    bitset_set_list(dst->words, src_1->array, src_1->cardinality);
    dst->cardinality = BITSET_UNKNOWN_CARDINALITY;
}

void run_bitset_container_union(const run_container_t *src_1,
                                const bitset_container_t *src_2,
                                bitset_container_t *dst) {
    assert(!run_container_is_full(src_1));  // catch this case upstream
    if (src_2 != dst) bitset_container_copy(src_2, dst);
    for (int32_t rlepos = 0; rlepos < src_1->n_runs; ++rlepos) {
        rle16_t rle = src_1->runs[rlepos];
        bitset_set_lenrange(dst->words, rle.value, rle.length);
    }
    dst->cardinality = bitset_container_compute_cardinality(dst);
}

void run_bitset_container_lazy_union(const run_container_t *src_1,
                                     const bitset_container_t *src_2,
                                     bitset_container_t *dst) {
    assert(!run_container_is_full(src_1));  // catch this case upstream
    if (src_2 != dst) bitset_container_copy(src_2, dst);
    for (int32_t rlepos = 0; rlepos < src_1->n_runs; ++rlepos) {
        rle16_t rle = src_1->runs[rlepos];
        bitset_set_lenrange(dst->words, rle.value, rle.length);
    }
    dst->cardinality = BITSET_UNKNOWN_CARDINALITY;
}

// why do we leave the result as a run container??
void array_run_container_union(const array_container_t *src_1,
                               const run_container_t *src_2,
                               run_container_t *dst) {
    if (run_container_is_full(src_2)) {
        run_container_copy(src_2, dst);
        return;
    }
    // TODO: see whether the "2*" is spurious
    run_container_grow(dst, 2 * (src_1->cardinality + src_2->n_runs), false);
    int32_t rlepos = 0;
    int32_t arraypos = 0;
    rle16_t previousrle;
    if (src_2->runs[rlepos].value <= src_1->array[arraypos]) {
        previousrle = run_container_append_first(dst, src_2->runs[rlepos]);
        rlepos++;
    } else {
        previousrle =
            run_container_append_value_first(dst, src_1->array[arraypos]);
        arraypos++;
    }
    while ((rlepos < src_2->n_runs) && (arraypos < src_1->cardinality)) {
        if (src_2->runs[rlepos].value <= src_1->array[arraypos]) {
            run_container_append(dst, src_2->runs[rlepos], &previousrle);
            rlepos++;
        } else {
            run_container_append_value(dst, src_1->array[arraypos],
                                       &previousrle);
            arraypos++;
        }
    }
    if (arraypos < src_1->cardinality) {
        while (arraypos < src_1->cardinality) {
            run_container_append_value(dst, src_1->array[arraypos],
                                       &previousrle);
            arraypos++;
        }
    } else {
        while (rlepos < src_2->n_runs) {
            run_container_append(dst, src_2->runs[rlepos], &previousrle);
            rlepos++;
        }
    }
}

void array_run_container_inplace_union(const array_container_t *src_1,
                                       run_container_t *src_2) {
    if (run_container_is_full(src_2)) {
        return;
    }
    const int32_t maxoutput = src_1->cardinality + src_2->n_runs;
    const int32_t neededcapacity = maxoutput + src_2->n_runs;
    if (src_2->capacity < neededcapacity)
        run_container_grow(src_2, neededcapacity, true);
    memmove(src_2->runs + maxoutput, src_2->runs,
            src_2->n_runs * sizeof(rle16_t));
    rle16_t *inputsrc2 = src_2->runs + maxoutput;
    int32_t rlepos = 0;
    int32_t arraypos = 0;
    int src2nruns = src_2->n_runs;
    src_2->n_runs = 0;

    rle16_t previousrle;

    if (inputsrc2[rlepos].value <= src_1->array[arraypos]) {
        previousrle = run_container_append_first(src_2, inputsrc2[rlepos]);
        rlepos++;
    } else {
        previousrle =
            run_container_append_value_first(src_2, src_1->array[arraypos]);
        arraypos++;
    }

    while ((rlepos < src2nruns) && (arraypos < src_1->cardinality)) {
        if (inputsrc2[rlepos].value <= src_1->array[arraypos]) {
            run_container_append(src_2, inputsrc2[rlepos], &previousrle);
            rlepos++;
        } else {
            run_container_append_value(src_2, src_1->array[arraypos],
                                       &previousrle);
            arraypos++;
        }
    }
    if (arraypos < src_1->cardinality) {
        while (arraypos < src_1->cardinality) {
            run_container_append_value(src_2, src_1->array[arraypos],
                                       &previousrle);
            arraypos++;
        }
    } else {
        while (rlepos < src2nruns) {
            run_container_append(src_2, inputsrc2[rlepos], &previousrle);
            rlepos++;
        }
    }
}

bool array_array_container_union(const array_container_t *src_1,
                                 const array_container_t *src_2,
                                 container_t **dst) {
    int totalCardinality = src_1->cardinality + src_2->cardinality;
    if (totalCardinality <= DEFAULT_MAX_SIZE) {
        *dst = array_container_create_given_capacity(totalCardinality);
        if (*dst != NULL) {
            array_container_union(src_1, src_2, CAST_array(*dst));
        } else {
            return true;  // otherwise failure won't be caught
        }
        return false;  // not a bitset
    }
    *dst = bitset_container_create();
    bool returnval = true;  // expect a bitset
    if (*dst != NULL) {
        bitset_container_t *ourbitset = CAST_bitset(*dst);
        bitset_set_list(ourbitset->words, src_1->array, src_1->cardinality);
        ourbitset->cardinality = (int32_t)bitset_set_list_withcard(
            ourbitset->words, src_1->cardinality, src_2->array,
            src_2->cardinality);
        if (ourbitset->cardinality <= DEFAULT_MAX_SIZE) {
            // need to convert!
            *dst = array_container_from_bitset(ourbitset);
            bitset_container_free(ourbitset);
            returnval = false;  // not going to be a bitset
        }
    }
    return returnval;
}

bool array_array_container_inplace_union(array_container_t *src_1,
                                         const array_container_t *src_2,
                                         container_t **dst) {
    int totalCardinality = src_1->cardinality + src_2->cardinality;
    *dst = NULL;
    if (totalCardinality <= DEFAULT_MAX_SIZE) {
        if (src_1->capacity < totalCardinality) {
            *dst = array_container_create_given_capacity(
                2 * totalCardinality);  // be purposefully generous
            if (*dst != NULL) {
                array_container_union(src_1, src_2, CAST_array(*dst));
            } else {
                return true;  // otherwise failure won't be caught
            }
            return false;  // not a bitset
        } else {
            memmove(src_1->array + src_2->cardinality, src_1->array,
                    src_1->cardinality * sizeof(uint16_t));
            // In theory, we could use fast_union_uint16, but it is unsafe. It
            // fails with Intel compilers in particular.
            // https://github.com/RoaringBitmap/CRoaring/pull/452
            // See report https://github.com/RoaringBitmap/CRoaring/issues/476
            src_1->cardinality = (int32_t)union_uint16(
                src_1->array + src_2->cardinality, src_1->cardinality,
                src_2->array, src_2->cardinality, src_1->array);
            return false;  // not a bitset
        }
    }
    *dst = bitset_container_create();
    bool returnval = true;  // expect a bitset
    if (*dst != NULL) {
        bitset_container_t *ourbitset = CAST_bitset(*dst);
        bitset_set_list(ourbitset->words, src_1->array, src_1->cardinality);
        ourbitset->cardinality = (int32_t)bitset_set_list_withcard(
            ourbitset->words, src_1->cardinality, src_2->array,
            src_2->cardinality);
        if (ourbitset->cardinality <= DEFAULT_MAX_SIZE) {
            // need to convert!
            if (src_1->capacity < ourbitset->cardinality) {
                array_container_grow(src_1, ourbitset->cardinality, false);
            }

            bitset_extract_setbits_uint16(ourbitset->words,
                                          BITSET_CONTAINER_SIZE_IN_WORDS,
                                          src_1->array, 0);
            src_1->cardinality = ourbitset->cardinality;
            *dst = src_1;
            bitset_container_free(ourbitset);
            returnval = false;  // not going to be a bitset
        }
    }
    return returnval;
}

bool array_array_container_lazy_union(const array_container_t *src_1,
                                      const array_container_t *src_2,
                                      container_t **dst) {
    int totalCardinality = src_1->cardinality + src_2->cardinality;
    //
    // We assume that operations involving bitset containers will be faster than
    // operations involving solely array containers, except maybe when array
    // containers are small. Indeed, for example, it is cheap to compute the
    // union between an array and a bitset container, generally more so than
    // between a large array and another array. So it is advantageous to favour
    // bitset containers during the computation. Of course, if we convert array
    // containers eagerly to bitset containers, we may later need to revert the
    // bitset containers to array containerr to satisfy the Roaring format
    // requirements, but such one-time conversions at the end may not be overly
    // expensive. We arrived to this design based on extensive benchmarking.
    //
    if (totalCardinality <= ARRAY_LAZY_LOWERBOUND) {
        *dst = array_container_create_given_capacity(totalCardinality);
        if (*dst != NULL) {
            array_container_union(src_1, src_2, CAST_array(*dst));
        } else {
            return true;  // otherwise failure won't be caught
        }
        return false;  // not a bitset
    }
    *dst = bitset_container_create();
    bool returnval = true;  // expect a bitset
    if (*dst != NULL) {
        bitset_container_t *ourbitset = CAST_bitset(*dst);
        bitset_set_list(ourbitset->words, src_1->array, src_1->cardinality);
        bitset_set_list(ourbitset->words, src_2->array, src_2->cardinality);
        ourbitset->cardinality = BITSET_UNKNOWN_CARDINALITY;
    }
    return returnval;
}

bool array_array_container_lazy_inplace_union(array_container_t *src_1,
                                              const array_container_t *src_2,
                                              container_t **dst) {
    int totalCardinality = src_1->cardinality + src_2->cardinality;
    *dst = NULL;
    //
    // We assume that operations involving bitset containers will be faster than
    // operations involving solely array containers, except maybe when array
    // containers are small. Indeed, for example, it is cheap to compute the
    // union between an array and a bitset container, generally more so than
    // between a large array and another array. So it is advantageous to favour
    // bitset containers during the computation. Of course, if we convert array
    // containers eagerly to bitset containers, we may later need to revert the
    // bitset containers to array containerr to satisfy the Roaring format
    // requirements, but such one-time conversions at the end may not be overly
    // expensive. We arrived to this design based on extensive benchmarking.
    //
    if (totalCardinality <= ARRAY_LAZY_LOWERBOUND) {
        if (src_1->capacity < totalCardinality) {
            *dst = array_container_create_given_capacity(
                2 * totalCardinality);  // be purposefully generous
            if (*dst != NULL) {
                array_container_union(src_1, src_2, CAST_array(*dst));
            } else {
                return true;  // otherwise failure won't be caught
            }
            return false;  // not a bitset
        } else {
            memmove(src_1->array + src_2->cardinality, src_1->array,
                    src_1->cardinality * sizeof(uint16_t));
            /*
              Next line is safe:

              We just need to focus on the reading and writing performed on
              array1. In `union_vector16`, both vectorized and scalar code still
              obey the basic rule: read from two inputs, do the union, and then
              write the output.

              Let's say the length(cardinality) of input2 is L2:
              ```
                  |<-  L2  ->|
              array1: [output--- |input 1---|---]
              array2: [input 2---]
              ```
              Let's define 3 __m128i pointers, `pos1` starts from `input1`,
              `pos2` starts from `input2`, these 2 point at the next byte to
              read, `out` starts from `output`, pointing at the next byte to
              overwrite.
              ```
              array1: [output--- |input 1---|---]
                          ^          ^
                      out        pos1
              array2: [input 2---]
                          ^
                          pos2
              ```
              The union output always contains less or equal number of elements
              than all inputs added, so we have:
              ```
              out <= pos1 + pos2
              ```
              therefore:
              ```
              out <= pos1 + L2
              ```
              which means you will not overwrite data beyond pos1, so the data
              haven't read is safe, and we don't care the data already read.
            */
            src_1->cardinality = (int32_t)fast_union_uint16(
                src_1->array + src_2->cardinality, src_1->cardinality,
                src_2->array, src_2->cardinality, src_1->array);
            return false;  // not a bitset
        }
    }
    *dst = bitset_container_create();
    bool returnval = true;  // expect a bitset
    if (*dst != NULL) {
        bitset_container_t *ourbitset = CAST_bitset(*dst);
        bitset_set_list(ourbitset->words, src_1->array, src_1->cardinality);
        bitset_set_list(ourbitset->words, src_2->array, src_2->cardinality);
        ourbitset->cardinality = BITSET_UNKNOWN_CARDINALITY;
    }
    return returnval;
}

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace internal {
#endif
/* end file src/containers/mixed_union.c */
/* begin file src/containers/mixed_xor.c */
/*
 * mixed_xor.c
 */

#include <assert.h>
#include <string.h>


#ifdef __cplusplus
extern "C" {
namespace roaring {
namespace internal {
#endif

/* Compute the xor of src_1 and src_2 and write the result to
 * dst (which has no container initially).
 * Result is true iff dst is a bitset  */
bool array_bitset_container_xor(const array_container_t *src_1,
                                const bitset_container_t *src_2,
                                container_t **dst) {
    bitset_container_t *result = bitset_container_create();
    bitset_container_copy(src_2, result);
    result->cardinality = (int32_t)bitset_flip_list_withcard(
        result->words, result->cardinality, src_1->array, src_1->cardinality);

    // do required type conversions.
    if (result->cardinality <= DEFAULT_MAX_SIZE) {
        *dst = array_container_from_bitset(result);
        bitset_container_free(result);
        return false;  // not bitset
    }
    *dst = result;
    return true;  // bitset
}

/* Compute the xor of src_1 and src_2 and write the result to
 * dst. It is allowed for src_2 to be dst.  This version does not
 * update the cardinality of dst (it is set to BITSET_UNKNOWN_CARDINALITY).
 */

void array_bitset_container_lazy_xor(const array_container_t *src_1,
                                     const bitset_container_t *src_2,
                                     bitset_container_t *dst) {
    if (src_2 != dst) bitset_container_copy(src_2, dst);
    bitset_flip_list(dst->words, src_1->array, src_1->cardinality);
    dst->cardinality = BITSET_UNKNOWN_CARDINALITY;
}

/* Compute the xor of src_1 and src_2 and write the result to
 * dst. Result may be either a bitset or an array container
 * (returns "result is bitset"). dst does not initially have
 * any container, but becomes either a bitset container (return
 * result true) or an array container.
 */

bool run_bitset_container_xor(const run_container_t *src_1,
                              const bitset_container_t *src_2,
                              container_t **dst) {
    bitset_container_t *result = bitset_container_create();

    bitset_container_copy(src_2, result);
    for (int32_t rlepos = 0; rlepos < src_1->n_runs; ++rlepos) {
        rle16_t rle = src_1->runs[rlepos];
        bitset_flip_range(result->words, rle.value,
                          rle.value + rle.length + UINT32_C(1));
    }
    result->cardinality = bitset_container_compute_cardinality(result);

    if (result->cardinality <= DEFAULT_MAX_SIZE) {
        *dst = array_container_from_bitset(result);
        bitset_container_free(result);
        return false;  // not bitset
    }
    *dst = result;
    return true;  // bitset
}

/* lazy xor.  Dst is initialized and may be equal to src_2.
 *  Result is left as a bitset container, even if actual
 *  cardinality would dictate an array container.
 */

void run_bitset_container_lazy_xor(const run_container_t *src_1,
                                   const bitset_container_t *src_2,
                                   bitset_container_t *dst) {
    if (src_2 != dst) bitset_container_copy(src_2, dst);
    for (int32_t rlepos = 0; rlepos < src_1->n_runs; ++rlepos) {
        rle16_t rle = src_1->runs[rlepos];
        bitset_flip_range(dst->words, rle.value,
                          rle.value + rle.length + UINT32_C(1));
    }
    dst->cardinality = BITSET_UNKNOWN_CARDINALITY;
}

/* dst does not indicate a valid container initially.  Eventually it
 * can become any kind of container.
 */

int array_run_container_xor(const array_container_t *src_1,
                            const run_container_t *src_2, container_t **dst) {
    // semi following Java XOR implementation as of May 2016
    // the C OR implementation works quite differently and can return a run
    // container
    // TODO could optimize for full run containers.

    // use of lazy following Java impl.
    const int arbitrary_threshold = 32;
    if (src_1->cardinality < arbitrary_threshold) {
        run_container_t *ans = run_container_create();
        array_run_container_lazy_xor(src_1, src_2, ans);  // keeps runs.
        uint8_t typecode_after;
        *dst =
            convert_run_to_efficient_container_and_free(ans, &typecode_after);
        return typecode_after;
    }

    int card = run_container_cardinality(src_2);
    if (card <= DEFAULT_MAX_SIZE) {
        // Java implementation works with the array, xoring the run elements via
        // iterator
        array_container_t *temp = array_container_from_run(src_2);
        bool ret_is_bitset = array_array_container_xor(temp, src_1, dst);
        array_container_free(temp);
        return ret_is_bitset ? BITSET_CONTAINER_TYPE : ARRAY_CONTAINER_TYPE;

    } else {  // guess that it will end up as a bitset
        bitset_container_t *result = bitset_container_from_run(src_2);
        bool is_bitset = bitset_array_container_ixor(result, src_1, dst);
        // any necessary type conversion has been done by the ixor
        int retval = (is_bitset ? BITSET_CONTAINER_TYPE : ARRAY_CONTAINER_TYPE);
        return retval;
    }
}

/* Dst is a valid run container. (Can it be src_2? Let's say not.)
 * Leaves result as run container, even if other options are
 * smaller.
 */

void array_run_container_lazy_xor(const array_container_t *src_1,
                                  const run_container_t *src_2,
                                  run_container_t *dst) {
    run_container_grow(dst, src_1->cardinality + src_2->n_runs, false);
    int32_t rlepos = 0;
    int32_t arraypos = 0;
    dst->n_runs = 0;

    while ((rlepos < src_2->n_runs) && (arraypos < src_1->cardinality)) {
        if (src_2->runs[rlepos].value <= src_1->array[arraypos]) {
            run_container_smart_append_exclusive(dst, src_2->runs[rlepos].value,
                                                 src_2->runs[rlepos].length);
            rlepos++;
        } else {
            run_container_smart_append_exclusive(dst, src_1->array[arraypos],
                                                 0);
            arraypos++;
        }
    }
    while (arraypos < src_1->cardinality) {
        run_container_smart_append_exclusive(dst, src_1->array[arraypos], 0);
        arraypos++;
    }
    while (rlepos < src_2->n_runs) {
        run_container_smart_append_exclusive(dst, src_2->runs[rlepos].value,
                                             src_2->runs[rlepos].length);
        rlepos++;
    }
}

/* dst does not indicate a valid container initially.  Eventually it
 * can become any kind of container.
 */

int run_run_container_xor(const run_container_t *src_1,
                          const run_container_t *src_2, container_t **dst) {
    run_container_t *ans = run_container_create();
    run_container_xor(src_1, src_2, ans);
    uint8_t typecode_after;
    *dst = convert_run_to_efficient_container_and_free(ans, &typecode_after);
    return typecode_after;
}

/*
 * Java implementation (as of May 2016) for array_run, run_run
 * and  bitset_run don't do anything different for inplace.
 * Could adopt the mixed_union.c approach instead (ie, using
 * smart_append_exclusive)
 *
 */

bool array_array_container_xor(const array_container_t *src_1,
                               const array_container_t *src_2,
                               container_t **dst) {
    int totalCardinality =
        src_1->cardinality + src_2->cardinality;  // upper bound
    if (totalCardinality <= DEFAULT_MAX_SIZE) {
        *dst = array_container_create_given_capacity(totalCardinality);
        array_container_xor(src_1, src_2, CAST_array(*dst));
        return false;  // not a bitset
    }
    *dst = bitset_container_from_array(src_1);
    bool returnval = true;  // expect a bitset
    bitset_container_t *ourbitset = CAST_bitset(*dst);
    ourbitset->cardinality = (uint32_t)bitset_flip_list_withcard(
        ourbitset->words, src_1->cardinality, src_2->array, src_2->cardinality);
    if (ourbitset->cardinality <= DEFAULT_MAX_SIZE) {
        // need to convert!
        *dst = array_container_from_bitset(ourbitset);
        bitset_container_free(ourbitset);
        returnval = false;  // not going to be a bitset
    }

    return returnval;
}

bool array_array_container_lazy_xor(const array_container_t *src_1,
                                    const array_container_t *src_2,
                                    container_t **dst) {
    int totalCardinality = src_1->cardinality + src_2->cardinality;
    //
    // We assume that operations involving bitset containers will be faster than
    // operations involving solely array containers, except maybe when array
    // containers are small. Indeed, for example, it is cheap to compute the
    // exclusive union between an array and a bitset container, generally more
    // so than between a large array and another array. So it is advantageous to
    // favour bitset containers during the computation. Of course, if we convert
    // array containers eagerly to bitset containers, we may later need to
    // revert the bitset containers to array containerr to satisfy the Roaring
    // format requirements, but such one-time conversions at the end may not be
    // overly expensive. We arrived to this design based on extensive
    // benchmarking on unions. For XOR/exclusive union, we simply followed the
    // heuristic used by the unions (see  mixed_union.c). Further tuning is
    // possible.
    //
    if (totalCardinality <= ARRAY_LAZY_LOWERBOUND) {
        *dst = array_container_create_given_capacity(totalCardinality);
        if (*dst != NULL) array_container_xor(src_1, src_2, CAST_array(*dst));
        return false;  // not a bitset
    }
    *dst = bitset_container_from_array(src_1);
    bool returnval = true;  // expect a bitset (maybe, for XOR??)
    if (*dst != NULL) {
        bitset_container_t *ourbitset = CAST_bitset(*dst);
        bitset_flip_list(ourbitset->words, src_2->array, src_2->cardinality);
        ourbitset->cardinality = BITSET_UNKNOWN_CARDINALITY;
    }
    return returnval;
}

/* Compute the xor of src_1 and src_2 and write the result to
 * dst (which has no container initially). Return value is
 * "dst is a bitset"
 */

bool bitset_bitset_container_xor(const bitset_container_t *src_1,
                                 const bitset_container_t *src_2,
                                 container_t **dst) {
    bitset_container_t *ans = bitset_container_create();
    int card = bitset_container_xor(src_1, src_2, ans);
    if (card <= DEFAULT_MAX_SIZE) {
        *dst = array_container_from_bitset(ans);
        bitset_container_free(ans);
        return false;  // not bitset
    } else {
        *dst = ans;
        return true;
    }
}

/* Compute the xor of src_1 and src_2 and write the result to
 * dst (which has no container initially).  It will modify src_1
 * to be dst if the result is a bitset.  Otherwise, it will
 * free src_1 and dst will be a new array container.  In both
 * cases, the caller is responsible for deallocating dst.
 * Returns true iff dst is a bitset  */

bool bitset_array_container_ixor(bitset_container_t *src_1,
                                 const array_container_t *src_2,
                                 container_t **dst) {
    *dst = src_1;
    src_1->cardinality = (uint32_t)bitset_flip_list_withcard(
        src_1->words, src_1->cardinality, src_2->array, src_2->cardinality);

    if (src_1->cardinality <= DEFAULT_MAX_SIZE) {
        *dst = array_container_from_bitset(src_1);
        bitset_container_free(src_1);
        return false;  // not bitset
    } else
        return true;
}

/* a bunch of in-place, some of which may not *really* be inplace.
 * TODO: write actual inplace routine if efficiency warrants it
 * Anything inplace with a bitset is a good candidate
 */

bool bitset_bitset_container_ixor(bitset_container_t *src_1,
                                  const bitset_container_t *src_2,
                                  container_t **dst) {
    int card = bitset_container_xor(src_1, src_2, src_1);
    if (card <= DEFAULT_MAX_SIZE) {
        *dst = array_container_from_bitset(src_1);
        bitset_container_free(src_1);
        return false;  // not bitset
    } else {
        *dst = src_1;
        return true;
    }
}

bool array_bitset_container_ixor(array_container_t *src_1,
                                 const bitset_container_t *src_2,
                                 container_t **dst) {
    bool ans = array_bitset_container_xor(src_1, src_2, dst);
    array_container_free(src_1);
    return ans;
}

/* Compute the xor of src_1 and src_2 and write the result to
 * dst. Result may be either a bitset or an array container
 * (returns "result is bitset"). dst does not initially have
 * any container, but becomes either a bitset container (return
 * result true) or an array container.
 */

bool run_bitset_container_ixor(run_container_t *src_1,
                               const bitset_container_t *src_2,
                               container_t **dst) {
    bool ans = run_bitset_container_xor(src_1, src_2, dst);
    run_container_free(src_1);
    return ans;
}

bool bitset_run_container_ixor(bitset_container_t *src_1,
                               const run_container_t *src_2,
                               container_t **dst) {
    bool ans = run_bitset_container_xor(src_2, src_1, dst);
    bitset_container_free(src_1);
    return ans;
}

/* dst does not indicate a valid container initially.  Eventually it
 * can become any kind of container.
 */

int array_run_container_ixor(array_container_t *src_1,
                             const run_container_t *src_2, container_t **dst) {
    int ans = array_run_container_xor(src_1, src_2, dst);
    array_container_free(src_1);
    return ans;
}

int run_array_container_ixor(run_container_t *src_1,
                             const array_container_t *src_2,
                             container_t **dst) {
    int ans = array_run_container_xor(src_2, src_1, dst);
    run_container_free(src_1);
    return ans;
}

bool array_array_container_ixor(array_container_t *src_1,
                                const array_container_t *src_2,
                                container_t **dst) {
    bool ans = array_array_container_xor(src_1, src_2, dst);
    array_container_free(src_1);
    return ans;
}

int run_run_container_ixor(run_container_t *src_1, const run_container_t *src_2,
                           container_t **dst) {
    int ans = run_run_container_xor(src_1, src_2, dst);
    run_container_free(src_1);
    return ans;
}

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace internal {
#endif
/* end file src/containers/mixed_xor.c */
/* begin file src/containers/run.c */
#include <stdio.h>
#include <stdlib.h>


#if CROARING_IS_X64
#ifndef CROARING_COMPILER_SUPPORTS_AVX512
#error "CROARING_COMPILER_SUPPORTS_AVX512 needs to be defined."
#endif  // CROARING_COMPILER_SUPPORTS_AVX512
#endif
#if defined(__GNUC__) && !defined(__clang__)
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wuninitialized"
#pragma GCC diagnostic ignored "-Wmaybe-uninitialized"
#endif
#ifdef __cplusplus
extern "C" {
namespace roaring {
namespace internal {
#endif

extern inline uint16_t run_container_minimum(const run_container_t *run);
extern inline uint16_t run_container_maximum(const run_container_t *run);
extern inline int32_t interleavedBinarySearch(const rle16_t *array,
                                              int32_t lenarray, uint16_t ikey);
extern inline bool run_container_contains(const run_container_t *run,
                                          uint16_t pos);
extern inline int run_container_index_equalorlarger(const run_container_t *arr,
                                                    uint16_t x);
extern inline bool run_container_is_full(const run_container_t *run);
extern inline bool run_container_nonzero_cardinality(const run_container_t *rc);
extern inline int32_t run_container_serialized_size_in_bytes(int32_t num_runs);
extern inline run_container_t *run_container_create_range(uint32_t start,
                                                          uint32_t stop);
extern inline int run_container_cardinality(const run_container_t *run);

bool run_container_add(run_container_t *run, uint16_t pos) {
    int32_t index = interleavedBinarySearch(run->runs, run->n_runs, pos);
    if (index >= 0) return false;  // already there
    index = -index - 2;            // points to preceding value, possibly -1
    if (index >= 0) {              // possible match
        int32_t offset = pos - run->runs[index].value;
        int32_t le = run->runs[index].length;
        if (offset <= le) return false;  // already there
        if (offset == le + 1) {
            // we may need to fuse
            if (index + 1 < run->n_runs) {
                if (run->runs[index + 1].value == pos + 1) {
                    // indeed fusion is needed
                    run->runs[index].length = run->runs[index + 1].value +
                                              run->runs[index + 1].length -
                                              run->runs[index].value;
                    recoverRoomAtIndex(run, (uint16_t)(index + 1));
                    return true;
                }
            }
            run->runs[index].length++;
            return true;
        }
        if (index + 1 < run->n_runs) {
            // we may need to fuse
            if (run->runs[index + 1].value == pos + 1) {
                // indeed fusion is needed
                run->runs[index + 1].value = pos;
                run->runs[index + 1].length = run->runs[index + 1].length + 1;
                return true;
            }
        }
    }
    if (index == -1) {
        // we may need to extend the first run
        if (0 < run->n_runs) {
            if (run->runs[0].value == pos + 1) {
                run->runs[0].length++;
                run->runs[0].value--;
                return true;
            }
        }
    }
    makeRoomAtIndex(run, (uint16_t)(index + 1));
    run->runs[index + 1].value = pos;
    run->runs[index + 1].length = 0;
    return true;
}

/* Create a new run container. Return NULL in case of failure. */
run_container_t *run_container_create_given_capacity(int32_t size) {
    run_container_t *run;
    /* Allocate the run container itself. */
    if ((run = (run_container_t *)roaring_malloc(sizeof(run_container_t))) ==
        NULL) {
        return NULL;
    }
    if (size <= 0) {  // we don't want to rely on malloc(0)
        run->runs = NULL;
    } else if ((run->runs = (rle16_t *)roaring_malloc(sizeof(rle16_t) *
                                                      size)) == NULL) {
        roaring_free(run);
        return NULL;
    }
    run->capacity = size;
    run->n_runs = 0;
    return run;
}

int run_container_shrink_to_fit(run_container_t *src) {
    if (src->n_runs == src->capacity) return 0;  // nothing to do
    int savings = src->capacity - src->n_runs;
    src->capacity = src->n_runs;
    rle16_t *oldruns = src->runs;
    src->runs =
        (rle16_t *)roaring_realloc(oldruns, src->capacity * sizeof(rle16_t));
    if (src->runs == NULL) roaring_free(oldruns);  // should never happen?
    return savings;
}
/* Create a new run container. Return NULL in case of failure. */
run_container_t *run_container_create(void) {
    return run_container_create_given_capacity(RUN_DEFAULT_INIT_SIZE);
}

CROARING_ALLOW_UNALIGNED
run_container_t *run_container_clone(const run_container_t *src) {
    run_container_t *run = run_container_create_given_capacity(src->capacity);
    if (run == NULL) return NULL;
    run->capacity = src->capacity;
    run->n_runs = src->n_runs;
    memcpy(run->runs, src->runs, src->n_runs * sizeof(rle16_t));
    return run;
}

void run_container_offset(const run_container_t *c, container_t **loc,
                          container_t **hic, uint16_t offset) {
    run_container_t *lo = NULL, *hi = NULL;

    bool split;
    unsigned int lo_cap, hi_cap;
    int top, pivot;

    top = (1 << 16) - offset;
    pivot = run_container_index_equalorlarger(c, top);
    // pivot is the index of the first run that is >= top or -1 if no such run

    if (pivot >= 0) {
        split = c->runs[pivot].value < top;
        lo_cap = pivot + (split ? 1 : 0);
        hi_cap = c->n_runs - pivot;
    } else {
        // here pivot < 0
        split = false;
        lo_cap = c->n_runs;
        hi_cap = 0;
    }

    if (loc && lo_cap) {
        lo = run_container_create_given_capacity(lo_cap);
        memcpy(lo->runs, c->runs, lo_cap * sizeof(rle16_t));
        lo->n_runs = lo_cap;
        for (unsigned int i = 0; i < lo_cap; ++i) {
            lo->runs[i].value += offset;
        }
        *loc = (container_t *)lo;
    }

    if (hic && hi_cap) {
        hi = run_container_create_given_capacity(hi_cap);
        memcpy(hi->runs, c->runs + pivot, hi_cap * sizeof(rle16_t));
        hi->n_runs = hi_cap;
        for (unsigned int i = 0; i < hi_cap; ++i) {
            hi->runs[i].value += offset;
        }
        *hic = (container_t *)hi;
    }

    // Fix the split.
    if (split) {
        if (lo != NULL) {
            // Add the missing run to 'lo', exhausting length.
            lo->runs[lo->n_runs - 1].length =
                (1 << 16) - lo->runs[lo->n_runs - 1].value - 1;
        }

        if (hi != NULL) {
            // Fix the first run in 'hi'.
            hi->runs[0].length -= UINT16_MAX - hi->runs[0].value + 1;
            hi->runs[0].value = 0;
        }
    }
}

/* Free memory. */
void run_container_free(run_container_t *run) {
    if (run == NULL) return;
    roaring_free(run->runs);
    roaring_free(run);
}

void run_container_grow(run_container_t *run, int32_t min, bool copy) {
    int32_t newCapacity = (run->capacity == 0)   ? RUN_DEFAULT_INIT_SIZE
                          : run->capacity < 64   ? run->capacity * 2
                          : run->capacity < 1024 ? run->capacity * 3 / 2
                                                 : run->capacity * 5 / 4;
    if (newCapacity < min) newCapacity = min;
    run->capacity = newCapacity;
    assert(run->capacity >= min);
    if (copy) {
        rle16_t *oldruns = run->runs;
        run->runs = (rle16_t *)roaring_realloc(oldruns,
                                               run->capacity * sizeof(rle16_t));
        if (run->runs == NULL) roaring_free(oldruns);
    } else {
        roaring_free(run->runs);
        run->runs = (rle16_t *)roaring_malloc(run->capacity * sizeof(rle16_t));
    }
    // We may have run->runs == NULL.
}

/* copy one container into another */
void run_container_copy(const run_container_t *src, run_container_t *dst) {
    const int32_t n_runs = src->n_runs;
    if (src->n_runs > dst->capacity) {
        run_container_grow(dst, n_runs, false);
    }
    dst->n_runs = n_runs;
    memcpy(dst->runs, src->runs, sizeof(rle16_t) * n_runs);
}

/* Compute the union of `src_1' and `src_2' and write the result to `dst'
 * It is assumed that `dst' is distinct from both `src_1' and `src_2'. */
void run_container_union(const run_container_t *src_1,
                         const run_container_t *src_2, run_container_t *dst) {
    // TODO: this could be a lot more efficient

    // we start out with inexpensive checks
    const bool if1 = run_container_is_full(src_1);
    const bool if2 = run_container_is_full(src_2);
    if (if1 || if2) {
        if (if1) {
            run_container_copy(src_1, dst);
            return;
        }
        if (if2) {
            run_container_copy(src_2, dst);
            return;
        }
    }
    const int32_t neededcapacity = src_1->n_runs + src_2->n_runs;
    if (dst->capacity < neededcapacity)
        run_container_grow(dst, neededcapacity, false);
    dst->n_runs = 0;
    int32_t rlepos = 0;
    int32_t xrlepos = 0;

    rle16_t previousrle;
    if (src_1->runs[rlepos].value <= src_2->runs[xrlepos].value) {
        previousrle = run_container_append_first(dst, src_1->runs[rlepos]);
        rlepos++;
    } else {
        previousrle = run_container_append_first(dst, src_2->runs[xrlepos]);
        xrlepos++;
    }

    while ((xrlepos < src_2->n_runs) && (rlepos < src_1->n_runs)) {
        rle16_t newrl;
        if (src_1->runs[rlepos].value <= src_2->runs[xrlepos].value) {
            newrl = src_1->runs[rlepos];
            rlepos++;
        } else {
            newrl = src_2->runs[xrlepos];
            xrlepos++;
        }
        run_container_append(dst, newrl, &previousrle);
    }
    while (xrlepos < src_2->n_runs) {
        run_container_append(dst, src_2->runs[xrlepos], &previousrle);
        xrlepos++;
    }
    while (rlepos < src_1->n_runs) {
        run_container_append(dst, src_1->runs[rlepos], &previousrle);
        rlepos++;
    }
}

/* Compute the union of `src_1' and `src_2' and write the result to `src_1'
 */
void run_container_union_inplace(run_container_t *src_1,
                                 const run_container_t *src_2) {
    // TODO: this could be a lot more efficient

    // we start out with inexpensive checks
    const bool if1 = run_container_is_full(src_1);
    const bool if2 = run_container_is_full(src_2);
    if (if1 || if2) {
        if (if1) {
            return;
        }
        if (if2) {
            run_container_copy(src_2, src_1);
            return;
        }
    }
    // we move the data to the end of the current array
    const int32_t maxoutput = src_1->n_runs + src_2->n_runs;
    const int32_t neededcapacity = maxoutput + src_1->n_runs;
    if (src_1->capacity < neededcapacity)
        run_container_grow(src_1, neededcapacity, true);
    memmove(src_1->runs + maxoutput, src_1->runs,
            src_1->n_runs * sizeof(rle16_t));
    rle16_t *inputsrc1 = src_1->runs + maxoutput;
    const int32_t input1nruns = src_1->n_runs;
    src_1->n_runs = 0;
    int32_t rlepos = 0;
    int32_t xrlepos = 0;

    rle16_t previousrle;
    if (inputsrc1[rlepos].value <= src_2->runs[xrlepos].value) {
        previousrle = run_container_append_first(src_1, inputsrc1[rlepos]);
        rlepos++;
    } else {
        previousrle = run_container_append_first(src_1, src_2->runs[xrlepos]);
        xrlepos++;
    }
    while ((xrlepos < src_2->n_runs) && (rlepos < input1nruns)) {
        rle16_t newrl;
        if (inputsrc1[rlepos].value <= src_2->runs[xrlepos].value) {
            newrl = inputsrc1[rlepos];
            rlepos++;
        } else {
            newrl = src_2->runs[xrlepos];
            xrlepos++;
        }
        run_container_append(src_1, newrl, &previousrle);
    }
    while (xrlepos < src_2->n_runs) {
        run_container_append(src_1, src_2->runs[xrlepos], &previousrle);
        xrlepos++;
    }
    while (rlepos < input1nruns) {
        run_container_append(src_1, inputsrc1[rlepos], &previousrle);
        rlepos++;
    }
}

/* Compute the symmetric difference of `src_1' and `src_2' and write the result
 * to `dst'
 * It is assumed that `dst' is distinct from both `src_1' and `src_2'. */
void run_container_xor(const run_container_t *src_1,
                       const run_container_t *src_2, run_container_t *dst) {
    // don't bother to convert xor with full range into negation
    // since negation is implemented similarly

    const int32_t neededcapacity = src_1->n_runs + src_2->n_runs;
    if (dst->capacity < neededcapacity)
        run_container_grow(dst, neededcapacity, false);

    int32_t pos1 = 0;
    int32_t pos2 = 0;
    dst->n_runs = 0;

    while ((pos1 < src_1->n_runs) && (pos2 < src_2->n_runs)) {
        if (src_1->runs[pos1].value <= src_2->runs[pos2].value) {
            run_container_smart_append_exclusive(dst, src_1->runs[pos1].value,
                                                 src_1->runs[pos1].length);
            pos1++;
        } else {
            run_container_smart_append_exclusive(dst, src_2->runs[pos2].value,
                                                 src_2->runs[pos2].length);
            pos2++;
        }
    }
    while (pos1 < src_1->n_runs) {
        run_container_smart_append_exclusive(dst, src_1->runs[pos1].value,
                                             src_1->runs[pos1].length);
        pos1++;
    }

    while (pos2 < src_2->n_runs) {
        run_container_smart_append_exclusive(dst, src_2->runs[pos2].value,
                                             src_2->runs[pos2].length);
        pos2++;
    }
}

/* Compute the intersection of src_1 and src_2 and write the result to
 * dst. It is assumed that dst is distinct from both src_1 and src_2. */
void run_container_intersection(const run_container_t *src_1,
                                const run_container_t *src_2,
                                run_container_t *dst) {
    const bool if1 = run_container_is_full(src_1);
    const bool if2 = run_container_is_full(src_2);
    if (if1 || if2) {
        if (if1) {
            run_container_copy(src_2, dst);
            return;
        }
        if (if2) {
            run_container_copy(src_1, dst);
            return;
        }
    }
    // TODO: this could be a lot more efficient, could use SIMD optimizations
    const int32_t neededcapacity = src_1->n_runs + src_2->n_runs;
    if (dst->capacity < neededcapacity)
        run_container_grow(dst, neededcapacity, false);
    dst->n_runs = 0;
    int32_t rlepos = 0;
    int32_t xrlepos = 0;
    int32_t start = src_1->runs[rlepos].value;
    int32_t end = start + src_1->runs[rlepos].length + 1;
    int32_t xstart = src_2->runs[xrlepos].value;
    int32_t xend = xstart + src_2->runs[xrlepos].length + 1;
    while ((rlepos < src_1->n_runs) && (xrlepos < src_2->n_runs)) {
        if (end <= xstart) {
            ++rlepos;
            if (rlepos < src_1->n_runs) {
                start = src_1->runs[rlepos].value;
                end = start + src_1->runs[rlepos].length + 1;
            }
        } else if (xend <= start) {
            ++xrlepos;
            if (xrlepos < src_2->n_runs) {
                xstart = src_2->runs[xrlepos].value;
                xend = xstart + src_2->runs[xrlepos].length + 1;
            }
        } else {  // they overlap
            const int32_t lateststart = start > xstart ? start : xstart;
            int32_t earliestend;
            if (end == xend) {  // improbable
                earliestend = end;
                rlepos++;
                xrlepos++;
                if (rlepos < src_1->n_runs) {
                    start = src_1->runs[rlepos].value;
                    end = start + src_1->runs[rlepos].length + 1;
                }
                if (xrlepos < src_2->n_runs) {
                    xstart = src_2->runs[xrlepos].value;
                    xend = xstart + src_2->runs[xrlepos].length + 1;
                }
            } else if (end < xend) {
                earliestend = end;
                rlepos++;
                if (rlepos < src_1->n_runs) {
                    start = src_1->runs[rlepos].value;
                    end = start + src_1->runs[rlepos].length + 1;
                }

            } else {  // end > xend
                earliestend = xend;
                xrlepos++;
                if (xrlepos < src_2->n_runs) {
                    xstart = src_2->runs[xrlepos].value;
                    xend = xstart + src_2->runs[xrlepos].length + 1;
                }
            }
            dst->runs[dst->n_runs].value = (uint16_t)lateststart;
            dst->runs[dst->n_runs].length =
                (uint16_t)(earliestend - lateststart - 1);
            dst->n_runs++;
        }
    }
}

/* Compute the size of the intersection of src_1 and src_2 . */
int run_container_intersection_cardinality(const run_container_t *src_1,
                                           const run_container_t *src_2) {
    const bool if1 = run_container_is_full(src_1);
    const bool if2 = run_container_is_full(src_2);
    if (if1 || if2) {
        if (if1) {
            return run_container_cardinality(src_2);
        }
        if (if2) {
            return run_container_cardinality(src_1);
        }
    }
    int answer = 0;
    int32_t rlepos = 0;
    int32_t xrlepos = 0;
    int32_t start = src_1->runs[rlepos].value;
    int32_t end = start + src_1->runs[rlepos].length + 1;
    int32_t xstart = src_2->runs[xrlepos].value;
    int32_t xend = xstart + src_2->runs[xrlepos].length + 1;
    while ((rlepos < src_1->n_runs) && (xrlepos < src_2->n_runs)) {
        if (end <= xstart) {
            ++rlepos;
            if (rlepos < src_1->n_runs) {
                start = src_1->runs[rlepos].value;
                end = start + src_1->runs[rlepos].length + 1;
            }
        } else if (xend <= start) {
            ++xrlepos;
            if (xrlepos < src_2->n_runs) {
                xstart = src_2->runs[xrlepos].value;
                xend = xstart + src_2->runs[xrlepos].length + 1;
            }
        } else {  // they overlap
            const int32_t lateststart = start > xstart ? start : xstart;
            int32_t earliestend;
            if (end == xend) {  // improbable
                earliestend = end;
                rlepos++;
                xrlepos++;
                if (rlepos < src_1->n_runs) {
                    start = src_1->runs[rlepos].value;
                    end = start + src_1->runs[rlepos].length + 1;
                }
                if (xrlepos < src_2->n_runs) {
                    xstart = src_2->runs[xrlepos].value;
                    xend = xstart + src_2->runs[xrlepos].length + 1;
                }
            } else if (end < xend) {
                earliestend = end;
                rlepos++;
                if (rlepos < src_1->n_runs) {
                    start = src_1->runs[rlepos].value;
                    end = start + src_1->runs[rlepos].length + 1;
                }

            } else {  // end > xend
                earliestend = xend;
                xrlepos++;
                if (xrlepos < src_2->n_runs) {
                    xstart = src_2->runs[xrlepos].value;
                    xend = xstart + src_2->runs[xrlepos].length + 1;
                }
            }
            answer += earliestend - lateststart;
        }
    }
    return answer;
}

bool run_container_intersect(const run_container_t *src_1,
                             const run_container_t *src_2) {
    const bool if1 = run_container_is_full(src_1);
    const bool if2 = run_container_is_full(src_2);
    if (if1 || if2) {
        if (if1) {
            return !run_container_empty(src_2);
        }
        if (if2) {
            return !run_container_empty(src_1);
        }
    }
    int32_t rlepos = 0;
    int32_t xrlepos = 0;
    int32_t start = src_1->runs[rlepos].value;
    int32_t end = start + src_1->runs[rlepos].length + 1;
    int32_t xstart = src_2->runs[xrlepos].value;
    int32_t xend = xstart + src_2->runs[xrlepos].length + 1;
    while ((rlepos < src_1->n_runs) && (xrlepos < src_2->n_runs)) {
        if (end <= xstart) {
            ++rlepos;
            if (rlepos < src_1->n_runs) {
                start = src_1->runs[rlepos].value;
                end = start + src_1->runs[rlepos].length + 1;
            }
        } else if (xend <= start) {
            ++xrlepos;
            if (xrlepos < src_2->n_runs) {
                xstart = src_2->runs[xrlepos].value;
                xend = xstart + src_2->runs[xrlepos].length + 1;
            }
        } else {  // they overlap
            return true;
        }
    }
    return false;
}

/* Compute the difference of src_1 and src_2 and write the result to
 * dst. It is assumed that dst is distinct from both src_1 and src_2. */
void run_container_andnot(const run_container_t *src_1,
                          const run_container_t *src_2, run_container_t *dst) {
    // following Java implementation as of June 2016

    if (dst->capacity < src_1->n_runs + src_2->n_runs)
        run_container_grow(dst, src_1->n_runs + src_2->n_runs, false);

    dst->n_runs = 0;

    int rlepos1 = 0;
    int rlepos2 = 0;
    int32_t start = src_1->runs[rlepos1].value;
    int32_t end = start + src_1->runs[rlepos1].length + 1;
    int32_t start2 = src_2->runs[rlepos2].value;
    int32_t end2 = start2 + src_2->runs[rlepos2].length + 1;

    while ((rlepos1 < src_1->n_runs) && (rlepos2 < src_2->n_runs)) {
        if (end <= start2) {
            // output the first run
            dst->runs[dst->n_runs++] =
                CROARING_MAKE_RLE16(start, end - start - 1);
            rlepos1++;
            if (rlepos1 < src_1->n_runs) {
                start = src_1->runs[rlepos1].value;
                end = start + src_1->runs[rlepos1].length + 1;
            }
        } else if (end2 <= start) {
            // exit the second run
            rlepos2++;
            if (rlepos2 < src_2->n_runs) {
                start2 = src_2->runs[rlepos2].value;
                end2 = start2 + src_2->runs[rlepos2].length + 1;
            }
        } else {
            if (start < start2) {
                dst->runs[dst->n_runs++] =
                    CROARING_MAKE_RLE16(start, start2 - start - 1);
            }
            if (end2 < end) {
                start = end2;
            } else {
                rlepos1++;
                if (rlepos1 < src_1->n_runs) {
                    start = src_1->runs[rlepos1].value;
                    end = start + src_1->runs[rlepos1].length + 1;
                }
            }
        }
    }
    if (rlepos1 < src_1->n_runs) {
        dst->runs[dst->n_runs++] = CROARING_MAKE_RLE16(start, end - start - 1);
        rlepos1++;
        if (rlepos1 < src_1->n_runs) {
            memcpy(dst->runs + dst->n_runs, src_1->runs + rlepos1,
                   sizeof(rle16_t) * (src_1->n_runs - rlepos1));
            dst->n_runs += src_1->n_runs - rlepos1;
        }
    }
}

/*
 * Print this container using printf (useful for debugging).
 */
void run_container_printf(const run_container_t *cont) {
    for (int i = 0; i < cont->n_runs; ++i) {
        uint16_t run_start = cont->runs[i].value;
        uint16_t le = cont->runs[i].length;
        printf("[%d,%d]", run_start, run_start + le);
    }
}

/*
 * Print this container using printf as a comma-separated list of 32-bit
 * integers starting at base.
 */
void run_container_printf_as_uint32_array(const run_container_t *cont,
                                          uint32_t base) {
    if (cont->n_runs == 0) return;
    {
        uint32_t run_start = base + cont->runs[0].value;
        uint16_t le = cont->runs[0].length;
        printf("%u", run_start);
        for (uint32_t j = 1; j <= le; ++j) printf(",%u", run_start + j);
    }
    for (int32_t i = 1; i < cont->n_runs; ++i) {
        uint32_t run_start = base + cont->runs[i].value;
        uint16_t le = cont->runs[i].length;
        for (uint32_t j = 0; j <= le; ++j) printf(",%u", run_start + j);
    }
}

/*
 * Validate the container. Returns true if valid.
 */
bool run_container_validate(const run_container_t *run, const char **reason) {
    if (run->n_runs < 0) {
        *reason = "negative run count";
        return false;
    }
    if (run->capacity < 0) {
        *reason = "negative run capacity";
        return false;
    }
    if (run->capacity < run->n_runs) {
        *reason = "capacity less than run count";
        return false;
    }

    if (run->n_runs == 0) {
        *reason = "zero run count";
        return false;
    }
    if (run->runs == NULL) {
        *reason = "NULL runs";
        return false;
    }

    // Use uint32_t to avoid overflow issues on ranges that contain UINT16_MAX.
    uint32_t last_end = 0;
    for (int i = 0; i < run->n_runs; ++i) {
        uint32_t start = run->runs[i].value;
        uint32_t end = start + run->runs[i].length + 1;
        if (end <= start) {
            *reason = "run start + length overflow";
            return false;
        }
        if (end > (1 << 16)) {
            *reason = "run start + length too large";
            return false;
        }
        if (start < last_end) {
            *reason = "run start less than last end";
            return false;
        }
        if (start == last_end && last_end != 0) {
            *reason = "run start equal to last end, should have combined";
            return false;
        }
        last_end = end;
    }
    return true;
}

int32_t run_container_write(const run_container_t *container, char *buf) {
    uint16_t cast_16 = container->n_runs;
    memcpy(buf, &cast_16, sizeof(uint16_t));
    memcpy(buf + sizeof(uint16_t), container->runs,
           container->n_runs * sizeof(rle16_t));
    return run_container_size_in_bytes(container);
}

int32_t run_container_read(int32_t cardinality, run_container_t *container,
                           const char *buf) {
    (void)cardinality;
    uint16_t cast_16;
    memcpy(&cast_16, buf, sizeof(uint16_t));
    container->n_runs = cast_16;
    if (container->n_runs > container->capacity)
        run_container_grow(container, container->n_runs, false);
    if (container->n_runs > 0) {
        memcpy(container->runs, buf + sizeof(uint16_t),
               container->n_runs * sizeof(rle16_t));
    }
    return run_container_size_in_bytes(container);
}

bool run_container_iterate(const run_container_t *cont, uint32_t base,
                           roaring_iterator iterator, void *ptr) {
    for (int i = 0; i < cont->n_runs; ++i) {
        uint32_t run_start = base + cont->runs[i].value;
        uint16_t le = cont->runs[i].length;

        for (int j = 0; j <= le; ++j)
            if (!iterator(run_start + j, ptr)) return false;
    }
    return true;
}

bool run_container_iterate64(const run_container_t *cont, uint32_t base,
                             roaring_iterator64 iterator, uint64_t high_bits,
                             void *ptr) {
    for (int i = 0; i < cont->n_runs; ++i) {
        uint32_t run_start = base + cont->runs[i].value;
        uint16_t le = cont->runs[i].length;

        for (int j = 0; j <= le; ++j)
            if (!iterator(high_bits | (uint64_t)(run_start + j), ptr))
                return false;
    }
    return true;
}

bool run_container_is_subset(const run_container_t *container1,
                             const run_container_t *container2) {
    int i1 = 0, i2 = 0;
    while (i1 < container1->n_runs && i2 < container2->n_runs) {
        int start1 = container1->runs[i1].value;
        int stop1 = start1 + container1->runs[i1].length;
        int start2 = container2->runs[i2].value;
        int stop2 = start2 + container2->runs[i2].length;
        if (start1 < start2) {
            return false;
        } else {  // start1 >= start2
            if (stop1 < stop2) {
                i1++;
            } else if (stop1 == stop2) {
                i1++;
                i2++;
            } else {  // stop1 > stop2
                i2++;
            }
        }
    }
    if (i1 == container1->n_runs) {
        return true;
    } else {
        return false;
    }
}

// TODO: write smart_append_exclusive version to match the overloaded 1 param
// Java version (or  is it even used?)

// follows the Java implementation closely
// length is the rle-value.  Ie, run [10,12) uses a length value 1.
void run_container_smart_append_exclusive(run_container_t *src,
                                          const uint16_t start,
                                          const uint16_t length) {
    int old_end;
    rle16_t *last_run = src->n_runs ? src->runs + (src->n_runs - 1) : NULL;
    rle16_t *appended_last_run = src->runs + src->n_runs;

    if (!src->n_runs ||
        (start > (old_end = last_run->value + last_run->length + 1))) {
        *appended_last_run = CROARING_MAKE_RLE16(start, length);
        src->n_runs++;
        return;
    }
    if (old_end == start) {
        // we merge
        last_run->length += (length + 1);
        return;
    }
    int new_end = start + length + 1;

    if (start == last_run->value) {
        // wipe out previous
        if (new_end < old_end) {
            *last_run = CROARING_MAKE_RLE16(new_end, old_end - new_end - 1);
            return;
        } else if (new_end > old_end) {
            *last_run = CROARING_MAKE_RLE16(old_end, new_end - old_end - 1);
            return;
        } else {
            src->n_runs--;
            return;
        }
    }
    last_run->length = start - last_run->value - 1;
    if (new_end < old_end) {
        *appended_last_run =
            CROARING_MAKE_RLE16(new_end, old_end - new_end - 1);
        src->n_runs++;
    } else if (new_end > old_end) {
        *appended_last_run =
            CROARING_MAKE_RLE16(old_end, new_end - old_end - 1);
        src->n_runs++;
    }
}

bool run_container_select(const run_container_t *container,
                          uint32_t *start_rank, uint32_t rank,
                          uint32_t *element) {
    for (int i = 0; i < container->n_runs; i++) {
        uint16_t length = container->runs[i].length;
        if (rank <= *start_rank + length) {
            uint16_t value = container->runs[i].value;
            *element = value + rank - (*start_rank);
            return true;
        } else
            *start_rank += length + 1;
    }
    return false;
}

int run_container_rank(const run_container_t *container, uint16_t x) {
    int sum = 0;
    uint32_t x32 = x;
    for (int i = 0; i < container->n_runs; i++) {
        uint32_t startpoint = container->runs[i].value;
        uint32_t length = container->runs[i].length;
        uint32_t endpoint = length + startpoint;
        if (x <= endpoint) {
            if (x < startpoint) break;
            return sum + (x32 - startpoint) + 1;
        } else {
            sum += length + 1;
        }
    }
    return sum;
}
uint32_t run_container_rank_many(const run_container_t *container,
                                 uint64_t start_rank, const uint32_t *begin,
                                 const uint32_t *end, uint64_t *ans) {
    const uint16_t high = (uint16_t)((*begin) >> 16);
    const uint32_t *iter = begin;
    int sum = 0;
    int i = 0;
    for (; iter != end; iter++) {
        uint32_t x = *iter;
        uint16_t xhigh = (uint16_t)(x >> 16);
        if (xhigh != high) return iter - begin;  // stop at next container

        uint32_t x32 = x & 0xFFFF;
        while (i < container->n_runs) {
            uint32_t startpoint = container->runs[i].value;
            uint32_t length = container->runs[i].length;
            uint32_t endpoint = length + startpoint;
            if (x32 <= endpoint) {
                if (x32 < startpoint) {
                    *(ans++) = start_rank + sum;
                } else {
                    *(ans++) = start_rank + sum + (x32 - startpoint) + 1;
                }
                break;
            } else {
                sum += length + 1;
                i++;
            }
        }
        if (i >= container->n_runs) *(ans++) = start_rank + sum;
    }

    return iter - begin;
}

int run_container_get_index(const run_container_t *container, uint16_t x) {
    if (run_container_contains(container, x)) {
        int sum = 0;
        uint32_t x32 = x;
        for (int i = 0; i < container->n_runs; i++) {
            uint32_t startpoint = container->runs[i].value;
            uint32_t length = container->runs[i].length;
            uint32_t endpoint = length + startpoint;
            if (x <= endpoint) {
                if (x < startpoint) break;
                return sum + (x32 - startpoint);
            } else {
                sum += length + 1;
            }
        }
        return sum - 1;
    } else {
        return -1;
    }
}

#if defined(CROARING_IS_X64) && CROARING_COMPILER_SUPPORTS_AVX512

CROARING_TARGET_AVX512
CROARING_ALLOW_UNALIGNED
/* Get the cardinality of `run'. Requires an actual computation. */
static inline int _avx512_run_container_cardinality(
    const run_container_t *run) {
    const int32_t n_runs = run->n_runs;
    const rle16_t *runs = run->runs;

    int32_t k = 0;
    const int32_t step512 = sizeof(__m512i) / sizeof(rle16_t);
    __m512i total = _mm512_setzero_si512();
    for (; k + step512 <= n_runs; k += step512) {
        __m512i ymm1 = _mm512_loadu_si512((const __m512i *)(runs + k));
        __m512i justlengths = _mm512_srli_epi32(ymm1, 16);
        total = _mm512_add_epi32(total, justlengths);
    }
    if (k < n_runs) {
        __m512i ymm1 = _mm512_maskz_loadu_epi32((1 << (n_runs - k)) - 1,
                                                (const __m512i *)(runs + k));
        __m512i justlengths = _mm512_srli_epi32(ymm1, 16);
        total = _mm512_add_epi32(total, justlengths);
    }
    return _mm512_reduce_add_epi32(total) + n_runs;
}

CROARING_UNTARGET_AVX512

CROARING_TARGET_AVX2
CROARING_ALLOW_UNALIGNED
/* Get the cardinality of `run'. Requires an actual computation. */
static inline int _avx2_run_container_cardinality(const run_container_t *run) {
    const int32_t n_runs = run->n_runs;
    const rle16_t *runs = run->runs;

    /* by initializing with n_runs, we omit counting the +1 for each pair. */
    int sum = n_runs;
    int32_t k = 0;
    const int32_t step = sizeof(__m256i) / sizeof(rle16_t);
    if (n_runs > step) {
        __m256i total = _mm256_setzero_si256();
        for (; k + step <= n_runs; k += step) {
            __m256i ymm1 = _mm256_lddqu_si256((const __m256i *)(runs + k));
            __m256i justlengths = _mm256_srli_epi32(ymm1, 16);
            total = _mm256_add_epi32(total, justlengths);
        }
        // a store might be faster than extract?
        uint32_t buffer[sizeof(__m256i) / sizeof(rle16_t)];
        _mm256_storeu_si256((__m256i *)buffer, total);
        sum += (buffer[0] + buffer[1]) + (buffer[2] + buffer[3]) +
               (buffer[4] + buffer[5]) + (buffer[6] + buffer[7]);
    }
    for (; k < n_runs; ++k) {
        sum += runs[k].length;
    }

    return sum;
}

CROARING_ALLOW_UNALIGNED
int _avx2_run_container_to_uint32_array(void *vout, const run_container_t *cont,
                                        uint32_t base) {
    int outpos = 0;
    uint32_t *out = (uint32_t *)vout;

    for (int i = 0; i < cont->n_runs; ++i) {
        uint32_t run_start = base + cont->runs[i].value;
        uint16_t le = cont->runs[i].length;
        if (le < 8) {
            for (int j = 0; j <= le; ++j) {
                uint32_t val = run_start + j;
                memcpy(out + outpos, &val,
                       sizeof(uint32_t));  // should be compiled as a MOV on x64
                outpos++;
            }
        } else {
            int j = 0;
            __m256i run_start_v = _mm256_set1_epi32(run_start);
            // [8,8,8,8....]
            __m256i inc = _mm256_set1_epi32(8);
            // used for generate sequence:
            // [0, 1, 2, 3...], [8, 9, 10,...]
            __m256i delta = _mm256_setr_epi32(0, 1, 2, 3, 4, 5, 6, 7);
            for (j = 0; j + 8 <= le; j += 8) {
                __m256i val_v = _mm256_add_epi32(run_start_v, delta);
                _mm256_storeu_si256((__m256i *)(out + outpos), val_v);
                delta = _mm256_add_epi32(inc, delta);
                outpos += 8;
            }
            for (; j <= le; ++j) {
                uint32_t val = run_start + j;
                memcpy(out + outpos, &val,
                       sizeof(uint32_t));  // should be compiled as a MOV on x64
                outpos++;
            }
        }
    }
    return outpos;
}

CROARING_UNTARGET_AVX2

/* Get the cardinality of `run'. Requires an actual computation. */
static inline int _scalar_run_container_cardinality(
    const run_container_t *run) {
    const int32_t n_runs = run->n_runs;
    const rle16_t *runs = run->runs;

    /* by initializing with n_runs, we omit counting the +1 for each pair. */
    int sum = n_runs;
    for (int k = 0; k < n_runs; ++k) {
        sum += runs[k].length;
    }

    return sum;
}

int run_container_cardinality(const run_container_t *run) {
    // Empirically AVX-512 is not always faster than AVX2
#define CROARING_ENABLE_AVX512_RUN_CONTAINER_CARDINALITY 0
#if CROARING_COMPILER_SUPPORTS_AVX512 && \
    CROARING_ENABLE_AVX512_RUN_CONTAINER_CARDINALITY
    if (croaring_hardware_support() & ROARING_SUPPORTS_AVX512) {
        return _avx512_run_container_cardinality(run);
    } else
#endif
        if (croaring_hardware_support() & ROARING_SUPPORTS_AVX2) {
        return _avx2_run_container_cardinality(run);
    } else {
        return _scalar_run_container_cardinality(run);
    }
}

int _scalar_run_container_to_uint32_array(void *vout,
                                          const run_container_t *cont,
                                          uint32_t base) {
    int outpos = 0;
    uint32_t *out = (uint32_t *)vout;
    for (int i = 0; i < cont->n_runs; ++i) {
        uint32_t run_start = base + cont->runs[i].value;
        uint16_t le = cont->runs[i].length;
        for (int j = 0; j <= le; ++j) {
            uint32_t val = run_start + j;
            memcpy(out + outpos, &val,
                   sizeof(uint32_t));  // should be compiled as a MOV on x64
            outpos++;
        }
    }
    return outpos;
}

int run_container_to_uint32_array(void *vout, const run_container_t *cont,
                                  uint32_t base) {
    if (croaring_hardware_support() & ROARING_SUPPORTS_AVX2) {
        return _avx2_run_container_to_uint32_array(vout, cont, base);
    } else {
        return _scalar_run_container_to_uint32_array(vout, cont, base);
    }
}

#else

/* Get the cardinality of `run'. Requires an actual computation. */
CROARING_ALLOW_UNALIGNED
int run_container_cardinality(const run_container_t *run) {
    const int32_t n_runs = run->n_runs;
    const rle16_t *runs = run->runs;

    /* by initializing with n_runs, we omit counting the +1 for each pair. */
    int sum = n_runs;
    for (int k = 0; k < n_runs; ++k) {
        sum += runs[k].length;
    }

    return sum;
}

CROARING_ALLOW_UNALIGNED
int run_container_to_uint32_array(void *vout, const run_container_t *cont,
                                  uint32_t base) {
    int outpos = 0;
    uint32_t *out = (uint32_t *)vout;
    for (int i = 0; i < cont->n_runs; ++i) {
        uint32_t run_start = base + cont->runs[i].value;
        uint16_t le = cont->runs[i].length;
        for (int j = 0; j <= le; ++j) {
            uint32_t val = run_start + j;
            memcpy(out + outpos, &val,
                   sizeof(uint32_t));  // should be compiled as a MOV on x64
            outpos++;
        }
    }
    return outpos;
}

#endif

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace internal {
#endif
#if defined(__GNUC__) && !defined(__clang__)
#pragma GCC diagnostic pop
#endif/* end file src/containers/run.c */
/* begin file src/isadetection.c */

/* From
https://github.com/endorno/pytorch/blob/master/torch/lib/TH/generic/simd/simd.h
Highly modified.

Copyright (c) 2016-     Facebook, Inc            (Adam Paszke)
Copyright (c) 2014-     Facebook, Inc            (Soumith Chintala)
Copyright (c) 2011-2014 Idiap Research Institute (Ronan Collobert)
Copyright (c) 2012-2014 Deepmind Technologies    (Koray Kavukcuoglu)
Copyright (c) 2011-2012 NEC Laboratories America (Koray Kavukcuoglu)
Copyright (c) 2011-2013 NYU                      (Clement Farabet)
Copyright (c) 2006-2010 NEC Laboratories America (Ronan Collobert, Leon Bottou,
Iain Melvin, Jason Weston) Copyright (c) 2006      Idiap Research Institute
(Samy Bengio) Copyright (c) 2001-2004 Idiap Research Institute (Ronan Collobert,
Samy Bengio, Johnny Mariethoz)

All rights reserved.

Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:

1. Redistributions of source code must retain the above copyright
   notice, this list of conditions and the following disclaimer.

2. Redistributions in binary form must reproduce the above copyright
   notice, this list of conditions and the following disclaimer in the
   documentation and/or other materials provided with the distribution.

3. Neither the names of Facebook, Deepmind Technologies, NYU, NEC Laboratories
America and IDIAP Research Institute nor the names of its contributors may be
   used to endorse or promote products derived from this software without
   specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
POSSIBILITY OF SUCH DAMAGE.
*/

#include <stdbool.h>
#include <stdint.h>
#include <stdlib.h>

// Binaries produced by Visual Studio 19.38 with solely AVX2 routines
// can compile to AVX-512 thus causing crashes on non-AVX-512 systems.
// This appears to affect VS 17.8 and 17.9. We disable AVX-512 and AVX2
// on these systems. It seems that ClangCL is not affected.
// https://github.com/RoaringBitmap/CRoaring/pull/603
#ifndef __clang__
#if _MSC_VER == 1938
#define ROARING_DISABLE_AVX 1
#endif  // _MSC_VER == 1938
#endif  // __clang__

// We need portability.h to be included first, see
// https://github.com/RoaringBitmap/CRoaring/issues/394
#if CROARING_REGULAR_VISUAL_STUDIO
#include <intrin.h>
#elif defined(HAVE_GCC_GET_CPUID) && defined(USE_GCC_GET_CPUID)
#include <cpuid.h>
#endif  // CROARING_REGULAR_VISUAL_STUDIO

#if CROARING_IS_X64
#ifndef CROARING_COMPILER_SUPPORTS_AVX512
#error "CROARING_COMPILER_SUPPORTS_AVX512 needs to be defined."
#endif  // CROARING_COMPILER_SUPPORTS_AVX512
#endif

#ifdef __cplusplus
extern "C" {
namespace roaring {
namespace internal {
#endif
enum croaring_instruction_set {
    CROARING_DEFAULT = 0x0,
    CROARING_NEON = 0x1,
    CROARING_AVX2 = 0x4,
    CROARING_SSE42 = 0x8,
    CROARING_PCLMULQDQ = 0x10,
    CROARING_BMI1 = 0x20,
    CROARING_BMI2 = 0x40,
    CROARING_ALTIVEC = 0x80,
    CROARING_AVX512F = 0x100,
    CROARING_AVX512DQ = 0x200,
    CROARING_AVX512BW = 0x400,
    CROARING_AVX512VBMI2 = 0x800,
    CROARING_AVX512BITALG = 0x1000,
    CROARING_AVX512VPOPCNTDQ = 0x2000,
    CROARING_UNINITIALIZED = 0x8000
};

#if CROARING_COMPILER_SUPPORTS_AVX512
unsigned int CROARING_AVX512_REQUIRED =
    (CROARING_AVX512F | CROARING_AVX512DQ | CROARING_AVX512BW |
     CROARING_AVX512VBMI2 | CROARING_AVX512BITALG | CROARING_AVX512VPOPCNTDQ);
#endif

#if defined(__x86_64__) || defined(_M_AMD64)  // x64

static inline void cpuid(uint32_t *eax, uint32_t *ebx, uint32_t *ecx,
                         uint32_t *edx) {
#if CROARING_REGULAR_VISUAL_STUDIO
    int cpu_info[4];
    __cpuidex(cpu_info, *eax, *ecx);
    *eax = cpu_info[0];
    *ebx = cpu_info[1];
    *ecx = cpu_info[2];
    *edx = cpu_info[3];
#elif defined(HAVE_GCC_GET_CPUID) && defined(USE_GCC_GET_CPUID)
    uint32_t level = *eax;
    __get_cpuid(level, eax, ebx, ecx, edx);
#else
    uint32_t a = *eax, b, c = *ecx, d;
    __asm__("cpuid\n\t" : "+a"(a), "=b"(b), "+c"(c), "=d"(d));
    *eax = a;
    *ebx = b;
    *ecx = c;
    *edx = d;
#endif
}

static inline uint64_t xgetbv(void) {
#if defined(_MSC_VER)
    return _xgetbv(0);
#else
    uint32_t xcr0_lo, xcr0_hi;
    __asm__("xgetbv\n\t" : "=a"(xcr0_lo), "=d"(xcr0_hi) : "c"(0));
    return xcr0_lo | ((uint64_t)xcr0_hi << 32);
#endif
}

/**
 * This is a relatively expensive function but it will get called at most
 * *once* per compilation units. Normally, the CRoaring library is built
 * as one compilation unit.
 */
static inline uint32_t dynamic_croaring_detect_supported_architectures(void) {
    uint32_t eax, ebx, ecx, edx;
    uint32_t host_isa = 0x0;
    // Can be found on Intel ISA Reference for CPUID
    static uint32_t cpuid_avx2_bit =
        1 << 5;  ///< @private Bit 5 of EBX for EAX=0x7
    static uint32_t cpuid_bmi1_bit =
        1 << 3;  ///< @private bit 3 of EBX for EAX=0x7
    static uint32_t cpuid_bmi2_bit =
        1 << 8;  ///< @private bit 8 of EBX for EAX=0x7
    static uint32_t cpuid_avx512f_bit =
        1 << 16;  ///< @private bit 16 of EBX for EAX=0x7
    static uint32_t cpuid_avx512dq_bit =
        1 << 17;  ///< @private bit 17 of EBX for EAX=0x7
    static uint32_t cpuid_avx512bw_bit =
        1 << 30;  ///< @private bit 30 of EBX for EAX=0x7
    static uint32_t cpuid_avx512vbmi2_bit =
        1 << 6;  ///< @private bit 6 of ECX for EAX=0x7
    static uint32_t cpuid_avx512bitalg_bit =
        1 << 12;  ///< @private bit 12 of ECX for EAX=0x7
    static uint32_t cpuid_avx512vpopcntdq_bit =
        1 << 14;  ///< @private bit 14 of ECX for EAX=0x7
    static uint64_t cpuid_avx256_saved = 1 << 2;  ///< @private bit 2 = AVX
    static uint64_t cpuid_avx512_saved =
        7 << 5;  ///< @private bits 5,6,7 = opmask, ZMM_hi256, hi16_ZMM
    static uint32_t cpuid_sse42_bit =
        1 << 20;  ///< @private bit 20 of ECX for EAX=0x1
    static uint32_t cpuid_osxsave =
        (1 << 26) | (1 << 27);  ///< @private bits 26+27 of ECX for EAX=0x1
    static uint32_t cpuid_pclmulqdq_bit =
        1 << 1;  ///< @private bit  1 of ECX for EAX=0x1

    // EBX for EAX=0x1
    eax = 0x1;
    ecx = 0x0;
    cpuid(&eax, &ebx, &ecx, &edx);

    if (ecx & cpuid_sse42_bit) {
        host_isa |= CROARING_SSE42;
    } else {
        return host_isa;  // everything after is redundant
    }

    if (ecx & cpuid_pclmulqdq_bit) {
        host_isa |= CROARING_PCLMULQDQ;
    }

    if ((ecx & cpuid_osxsave) != cpuid_osxsave) {
        return host_isa;
    }

    // xgetbv for checking if the OS saves registers
    uint64_t xcr0 = xgetbv();

    if ((xcr0 & cpuid_avx256_saved) == 0) {
        return host_isa;
    }

    // ECX for EAX=0x7
    eax = 0x7;
    ecx = 0x0;
    cpuid(&eax, &ebx, &ecx, &edx);
    if (ebx & cpuid_avx2_bit) {
        host_isa |= CROARING_AVX2;
    }
    if (ebx & cpuid_bmi1_bit) {
        host_isa |= CROARING_BMI1;
    }

    if (ebx & cpuid_bmi2_bit) {
        host_isa |= CROARING_BMI2;
    }

    if (!((xcr0 & cpuid_avx512_saved) == cpuid_avx512_saved)) {
        return host_isa;
    }

    if (ebx & cpuid_avx512f_bit) {
        host_isa |= CROARING_AVX512F;
    }

    if (ebx & cpuid_avx512bw_bit) {
        host_isa |= CROARING_AVX512BW;
    }

    if (ebx & cpuid_avx512dq_bit) {
        host_isa |= CROARING_AVX512DQ;
    }

    if (ecx & cpuid_avx512vbmi2_bit) {
        host_isa |= CROARING_AVX512VBMI2;
    }

    if (ecx & cpuid_avx512bitalg_bit) {
        host_isa |= CROARING_AVX512BITALG;
    }

    if (ecx & cpuid_avx512vpopcntdq_bit) {
        host_isa |= CROARING_AVX512VPOPCNTDQ;
    }

    return host_isa;
}

#endif  // end SIMD extension detection code

#if defined(__x86_64__) || defined(_M_AMD64)  // x64

#if CROARING_ATOMIC_IMPL == CROARING_ATOMIC_IMPL_CPP
static inline uint32_t croaring_detect_supported_architectures(void) {
    // thread-safe as per the C++11 standard.
    static uint32_t buffer = dynamic_croaring_detect_supported_architectures();
    return buffer;
}
#elif CROARING_ATOMIC_IMPL == CROARING_ATOMIC_IMPL_C
static uint32_t croaring_detect_supported_architectures(void) {
    // we use an atomic for thread safety
    static _Atomic uint32_t buffer = CROARING_UNINITIALIZED;
    if (buffer == CROARING_UNINITIALIZED) {
        // atomicity is sufficient
        buffer = dynamic_croaring_detect_supported_architectures();
    }
    return buffer;
}
#else
// If we do not have atomics, we do the best we can.
static inline uint32_t croaring_detect_supported_architectures(void) {
    static uint32_t buffer = CROARING_UNINITIALIZED;
    if (buffer == CROARING_UNINITIALIZED) {
        buffer = dynamic_croaring_detect_supported_architectures();
    }
    return buffer;
}
#endif  // CROARING_C_ATOMIC

#ifdef ROARING_DISABLE_AVX

int croaring_hardware_support(void) { return 0; }

#elif defined(__AVX512F__) && defined(__AVX512DQ__) &&   \
    defined(__AVX512BW__) && defined(__AVX512VBMI2__) && \
    defined(__AVX512BITALG__) && defined(__AVX512VPOPCNTDQ__)
int croaring_hardware_support(void) {
    return ROARING_SUPPORTS_AVX2 | ROARING_SUPPORTS_AVX512;
}
#elif defined(__AVX2__)

int croaring_hardware_support(void) {
    static
#if CROARING_ATOMIC_IMPL == CROARING_ATOMIC_IMPL_C
        _Atomic
#endif
        int support = 0xFFFFFFF;
    if (support == 0xFFFFFFF) {
        bool avx512_support = false;
#if CROARING_COMPILER_SUPPORTS_AVX512
        avx512_support =
            ((croaring_detect_supported_architectures() &
              CROARING_AVX512_REQUIRED) == CROARING_AVX512_REQUIRED);
#endif
        support = ROARING_SUPPORTS_AVX2 |
                  (avx512_support ? ROARING_SUPPORTS_AVX512 : 0);
    }
    return support;
}
#else

int croaring_hardware_support(void) {
    static
#if CROARING_ATOMIC_IMPL == CROARING_ATOMIC_IMPL_C
        _Atomic
#endif
        int support = 0xFFFFFFF;
    if (support == 0xFFFFFFF) {
        bool has_avx2 = (croaring_detect_supported_architectures() &
                         CROARING_AVX2) == CROARING_AVX2;
        bool has_avx512 = false;
#if CROARING_COMPILER_SUPPORTS_AVX512
        has_avx512 = (croaring_detect_supported_architectures() &
                      CROARING_AVX512_REQUIRED) == CROARING_AVX512_REQUIRED;
#endif  // CROARING_COMPILER_SUPPORTS_AVX512
        support = (has_avx2 ? ROARING_SUPPORTS_AVX2 : 0) |
                  (has_avx512 ? ROARING_SUPPORTS_AVX512 : 0);
    }
    return support;
}
#endif

#endif  // defined(__x86_64__) || defined(_M_AMD64) // x64
#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace internal {
#endif
/* end file src/isadetection.c */
/* begin file src/memory.c */
#include <stdlib.h>


// without the following, we get lots of warnings about posix_memalign
#ifndef __cplusplus
extern int posix_memalign(void** __memptr, size_t __alignment, size_t __size);
#endif  //__cplusplus // C++ does not have a well defined signature

// portable version of  posix_memalign
static void* roaring_bitmap_aligned_malloc(size_t alignment, size_t size) {
    void* p;
#ifdef _MSC_VER
    p = _aligned_malloc(size, alignment);
#elif defined(__MINGW32__) || defined(__MINGW64__)
    p = __mingw_aligned_malloc(size, alignment);
#else
    // somehow, if this is used before including "x86intrin.h", it creates an
    // implicit defined warning.
    if (posix_memalign(&p, alignment, size) != 0) return NULL;
#endif
    return p;
}

static void roaring_bitmap_aligned_free(void* memblock) {
#ifdef _MSC_VER
    _aligned_free(memblock);
#elif defined(__MINGW32__) || defined(__MINGW64__)
    __mingw_aligned_free(memblock);
#else
    free(memblock);
#endif
}

static roaring_memory_t global_memory_hook = {
    .malloc = malloc,
    .realloc = realloc,
    .calloc = calloc,
    .free = free,
    .aligned_malloc = roaring_bitmap_aligned_malloc,
    .aligned_free = roaring_bitmap_aligned_free,
};

void roaring_init_memory_hook(roaring_memory_t memory_hook) {
    global_memory_hook = memory_hook;
}

void* roaring_malloc(size_t n) { return global_memory_hook.malloc(n); }

void* roaring_realloc(void* p, size_t new_sz) {
    return global_memory_hook.realloc(p, new_sz);
}

void* roaring_calloc(size_t n_elements, size_t element_size) {
    return global_memory_hook.calloc(n_elements, element_size);
}

void roaring_free(void* p) { global_memory_hook.free(p); }

void* roaring_aligned_malloc(size_t alignment, size_t size) {
    return global_memory_hook.aligned_malloc(alignment, size);
}

void roaring_aligned_free(void* p) { global_memory_hook.aligned_free(p); }
/* end file src/memory.c */
/* begin file src/roaring_array.c */
#include <assert.h>
#include <inttypes.h>
#include <stdbool.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>


#ifdef __cplusplus
extern "C" {
namespace roaring {
namespace internal {
#endif

// Convention: [0,ra->size) all elements are initialized
//  [ra->size, ra->allocation_size) is junk and contains nothing needing freeing

extern inline int32_t ra_get_size(const roaring_array_t *ra);
extern inline int32_t ra_get_index(const roaring_array_t *ra, uint16_t x);

extern inline container_t *ra_get_container_at_index(const roaring_array_t *ra,
                                                     uint16_t i,
                                                     uint8_t *typecode);

extern inline void ra_unshare_container_at_index(roaring_array_t *ra,
                                                 uint16_t i);

extern inline void ra_replace_key_and_container_at_index(roaring_array_t *ra,
                                                         int32_t i,
                                                         uint16_t key,
                                                         container_t *c,
                                                         uint8_t typecode);

extern inline void ra_set_container_at_index(const roaring_array_t *ra,
                                             int32_t i, container_t *c,
                                             uint8_t typecode);

static bool realloc_array(roaring_array_t *ra, int32_t new_capacity) {
    //
    // Note: not implemented using C's realloc(), because the memory layout is
    // Struct-of-Arrays vs. Array-of-Structs:
    // https://github.com/RoaringBitmap/CRoaring/issues/256

    if (new_capacity == 0) {
        roaring_free(ra->containers);
        ra->containers = NULL;
        ra->keys = NULL;
        ra->typecodes = NULL;
        ra->allocation_size = 0;
        return true;
    }
    const size_t memoryneeded =
        new_capacity *
        (sizeof(uint16_t) + sizeof(container_t *) + sizeof(uint8_t));
    void *bigalloc = roaring_malloc(memoryneeded);
    if (!bigalloc) return false;
    void *oldbigalloc = ra->containers;
    container_t **newcontainers = (container_t **)bigalloc;
    uint16_t *newkeys = (uint16_t *)(newcontainers + new_capacity);
    uint8_t *newtypecodes = (uint8_t *)(newkeys + new_capacity);
    assert((char *)(newtypecodes + new_capacity) ==
           (char *)bigalloc + memoryneeded);
    if (ra->size > 0) {
        memcpy(newcontainers, ra->containers, sizeof(container_t *) * ra->size);
        memcpy(newkeys, ra->keys, sizeof(uint16_t) * ra->size);
        memcpy(newtypecodes, ra->typecodes, sizeof(uint8_t) * ra->size);
    }
    ra->containers = newcontainers;
    ra->keys = newkeys;
    ra->typecodes = newtypecodes;
    ra->allocation_size = new_capacity;
    roaring_free(oldbigalloc);
    return true;
}

bool ra_init_with_capacity(roaring_array_t *new_ra, uint32_t cap) {
    if (!new_ra) return false;
    ra_init(new_ra);

    // Containers hold 64Ki elements, so 64Ki containers is enough to hold
    // `0x10000 * 0x10000` (all 2^32) elements
    if (cap > 0x10000) {
        cap = 0x10000;
    }

    if (cap > 0) {
        void *bigalloc = roaring_malloc(
            cap * (sizeof(uint16_t) + sizeof(container_t *) + sizeof(uint8_t)));
        if (bigalloc == NULL) return false;
        new_ra->containers = (container_t **)bigalloc;
        new_ra->keys = (uint16_t *)(new_ra->containers + cap);
        new_ra->typecodes = (uint8_t *)(new_ra->keys + cap);
        // Narrowing is safe because of above check
        new_ra->allocation_size = (int32_t)cap;
    }
    return true;
}

int ra_shrink_to_fit(roaring_array_t *ra) {
    int savings = (ra->allocation_size - ra->size) *
                  (sizeof(uint16_t) + sizeof(container_t *) + sizeof(uint8_t));
    if (!realloc_array(ra, ra->size)) {
        return 0;
    }
    ra->allocation_size = ra->size;
    return savings;
}

void ra_init(roaring_array_t *new_ra) {
    if (!new_ra) {
        return;
    }
    new_ra->keys = NULL;
    new_ra->containers = NULL;
    new_ra->typecodes = NULL;

    new_ra->allocation_size = 0;
    new_ra->size = 0;
    new_ra->flags = 0;
}

bool ra_overwrite(const roaring_array_t *source, roaring_array_t *dest,
                  bool copy_on_write) {
    ra_clear_containers(dest);  // we are going to overwrite them
    if (source->size == 0) {    // Note: can't call memcpy(NULL), even w/size
        dest->size = 0;         // <--- This is important.
        return true;            // output was just cleared, so they match
    }
    if (dest->allocation_size < source->size) {
        if (!realloc_array(dest, source->size)) {
            return false;
        }
    }
    dest->size = source->size;
    memcpy(dest->keys, source->keys, dest->size * sizeof(uint16_t));
    // we go through the containers, turning them into shared containers...
    if (copy_on_write) {
        for (int32_t i = 0; i < dest->size; ++i) {
            source->containers[i] = get_copy_of_container(
                source->containers[i], &source->typecodes[i], copy_on_write);
        }
        // we do a shallow copy to the other bitmap
        memcpy(dest->containers, source->containers,
               dest->size * sizeof(container_t *));
        memcpy(dest->typecodes, source->typecodes,
               dest->size * sizeof(uint8_t));
    } else {
        memcpy(dest->typecodes, source->typecodes,
               dest->size * sizeof(uint8_t));
        for (int32_t i = 0; i < dest->size; i++) {
            dest->containers[i] =
                container_clone(source->containers[i], source->typecodes[i]);
            if (dest->containers[i] == NULL) {
                for (int32_t j = 0; j < i; j++) {
                    container_free(dest->containers[j], dest->typecodes[j]);
                }
                ra_clear_without_containers(dest);
                return false;
            }
        }
    }
    return true;
}

void ra_clear_containers(roaring_array_t *ra) {
    for (int32_t i = 0; i < ra->size; ++i) {
        container_free(ra->containers[i], ra->typecodes[i]);
    }
}

void ra_reset(roaring_array_t *ra) {
    ra_clear_containers(ra);
    ra->size = 0;
    ra_shrink_to_fit(ra);
}

void ra_clear_without_containers(roaring_array_t *ra) {
    roaring_free(
        ra->containers);  // keys and typecodes are allocated with containers
    ra->size = 0;
    ra->allocation_size = 0;
    ra->containers = NULL;
    ra->keys = NULL;
    ra->typecodes = NULL;
}

void ra_clear(roaring_array_t *ra) {
    ra_clear_containers(ra);
    ra_clear_without_containers(ra);
}

bool extend_array(roaring_array_t *ra, int32_t k) {
    int32_t desired_size = ra->size + k;
    const int32_t max_containers = 65536;
    assert(desired_size <= max_containers);
    if (desired_size > ra->allocation_size) {
        int32_t new_capacity =
            (ra->size < 1024) ? 2 * desired_size : 5 * desired_size / 4;
        if (new_capacity > max_containers) {
            new_capacity = max_containers;
        }

        return realloc_array(ra, new_capacity);
    }
    return true;
}

void ra_append(roaring_array_t *ra, uint16_t key, container_t *c,
               uint8_t typecode) {
    extend_array(ra, 1);
    const int32_t pos = ra->size;

    ra->keys[pos] = key;
    ra->containers[pos] = c;
    ra->typecodes[pos] = typecode;
    ra->size++;
}

void ra_append_copy(roaring_array_t *ra, const roaring_array_t *sa,
                    uint16_t index, bool copy_on_write) {
    extend_array(ra, 1);
    const int32_t pos = ra->size;

    // old contents is junk that does not need freeing
    ra->keys[pos] = sa->keys[index];
    // the shared container will be in two bitmaps
    if (copy_on_write) {
        sa->containers[index] = get_copy_of_container(
            sa->containers[index], &sa->typecodes[index], copy_on_write);
        ra->containers[pos] = sa->containers[index];
        ra->typecodes[pos] = sa->typecodes[index];
    } else {
        ra->containers[pos] =
            container_clone(sa->containers[index], sa->typecodes[index]);
        ra->typecodes[pos] = sa->typecodes[index];
    }
    ra->size++;
}

void ra_append_copies_until(roaring_array_t *ra, const roaring_array_t *sa,
                            uint16_t stopping_key, bool copy_on_write) {
    for (int32_t i = 0; i < sa->size; ++i) {
        if (sa->keys[i] >= stopping_key) break;
        ra_append_copy(ra, sa, (uint16_t)i, copy_on_write);
    }
}

void ra_append_copy_range(roaring_array_t *ra, const roaring_array_t *sa,
                          int32_t start_index, int32_t end_index,
                          bool copy_on_write) {
    extend_array(ra, end_index - start_index);
    for (int32_t i = start_index; i < end_index; ++i) {
        const int32_t pos = ra->size;
        ra->keys[pos] = sa->keys[i];
        if (copy_on_write) {
            sa->containers[i] = get_copy_of_container(
                sa->containers[i], &sa->typecodes[i], copy_on_write);
            ra->containers[pos] = sa->containers[i];
            ra->typecodes[pos] = sa->typecodes[i];
        } else {
            ra->containers[pos] =
                container_clone(sa->containers[i], sa->typecodes[i]);
            ra->typecodes[pos] = sa->typecodes[i];
        }
        ra->size++;
    }
}

void ra_append_copies_after(roaring_array_t *ra, const roaring_array_t *sa,
                            uint16_t before_start, bool copy_on_write) {
    int start_location = ra_get_index(sa, before_start);
    if (start_location >= 0)
        ++start_location;
    else
        start_location = -start_location - 1;
    ra_append_copy_range(ra, sa, start_location, sa->size, copy_on_write);
}

void ra_append_move_range(roaring_array_t *ra, roaring_array_t *sa,
                          int32_t start_index, int32_t end_index) {
    extend_array(ra, end_index - start_index);

    for (int32_t i = start_index; i < end_index; ++i) {
        const int32_t pos = ra->size;

        ra->keys[pos] = sa->keys[i];
        ra->containers[pos] = sa->containers[i];
        ra->typecodes[pos] = sa->typecodes[i];
        ra->size++;
    }
}

void ra_append_range(roaring_array_t *ra, roaring_array_t *sa,
                     int32_t start_index, int32_t end_index,
                     bool copy_on_write) {
    extend_array(ra, end_index - start_index);

    for (int32_t i = start_index; i < end_index; ++i) {
        const int32_t pos = ra->size;
        ra->keys[pos] = sa->keys[i];
        if (copy_on_write) {
            sa->containers[i] = get_copy_of_container(
                sa->containers[i], &sa->typecodes[i], copy_on_write);
            ra->containers[pos] = sa->containers[i];
            ra->typecodes[pos] = sa->typecodes[i];
        } else {
            ra->containers[pos] =
                container_clone(sa->containers[i], sa->typecodes[i]);
            ra->typecodes[pos] = sa->typecodes[i];
        }
        ra->size++;
    }
}

container_t *ra_get_container(roaring_array_t *ra, uint16_t x,
                              uint8_t *typecode) {
    int i = binarySearch(ra->keys, (int32_t)ra->size, x);
    if (i < 0) return NULL;
    *typecode = ra->typecodes[i];
    return ra->containers[i];
}

extern inline container_t *ra_get_container_at_index(const roaring_array_t *ra,
                                                     uint16_t i,
                                                     uint8_t *typecode);

extern inline uint16_t ra_get_key_at_index(const roaring_array_t *ra,
                                           uint16_t i);

extern inline int32_t ra_get_index(const roaring_array_t *ra, uint16_t x);

extern inline int32_t ra_advance_until(const roaring_array_t *ra, uint16_t x,
                                       int32_t pos);

// everything skipped over is freed
int32_t ra_advance_until_freeing(roaring_array_t *ra, uint16_t x, int32_t pos) {
    while (pos < ra->size && ra->keys[pos] < x) {
        container_free(ra->containers[pos], ra->typecodes[pos]);
        ++pos;
    }
    return pos;
}

void ra_insert_new_key_value_at(roaring_array_t *ra, int32_t i, uint16_t key,
                                container_t *c, uint8_t typecode) {
    extend_array(ra, 1);
    // May be an optimization opportunity with DIY memmove
    memmove(&(ra->keys[i + 1]), &(ra->keys[i]),
            sizeof(uint16_t) * (ra->size - i));
    memmove(&(ra->containers[i + 1]), &(ra->containers[i]),
            sizeof(container_t *) * (ra->size - i));
    memmove(&(ra->typecodes[i + 1]), &(ra->typecodes[i]),
            sizeof(uint8_t) * (ra->size - i));
    ra->keys[i] = key;
    ra->containers[i] = c;
    ra->typecodes[i] = typecode;
    ra->size++;
}

// note: Java routine set things to 0, enabling GC.
// Java called it "resize" but it was always used to downsize.
// Allowing upsize would break the conventions about
// valid containers below ra->size.

void ra_downsize(roaring_array_t *ra, int32_t new_length) {
    assert(new_length <= ra->size);
    ra->size = new_length;
}

void ra_remove_at_index(roaring_array_t *ra, int32_t i) {
    memmove(&(ra->containers[i]), &(ra->containers[i + 1]),
            sizeof(container_t *) * (ra->size - i - 1));
    memmove(&(ra->keys[i]), &(ra->keys[i + 1]),
            sizeof(uint16_t) * (ra->size - i - 1));
    memmove(&(ra->typecodes[i]), &(ra->typecodes[i + 1]),
            sizeof(uint8_t) * (ra->size - i - 1));
    ra->size--;
}

void ra_remove_at_index_and_free(roaring_array_t *ra, int32_t i) {
    container_free(ra->containers[i], ra->typecodes[i]);
    ra_remove_at_index(ra, i);
}

// used in inplace andNot only, to slide left the containers from
// the mutated RoaringBitmap that are after the largest container of
// the argument RoaringBitmap.  In use it should be followed by a call to
// downsize.
//
void ra_copy_range(roaring_array_t *ra, uint32_t begin, uint32_t end,
                   uint32_t new_begin) {
    assert(begin <= end);
    assert(new_begin < begin);

    const int range = end - begin;

    // We ensure to previously have freed overwritten containers
    // that are not copied elsewhere

    memmove(&(ra->containers[new_begin]), &(ra->containers[begin]),
            sizeof(container_t *) * range);
    memmove(&(ra->keys[new_begin]), &(ra->keys[begin]),
            sizeof(uint16_t) * range);
    memmove(&(ra->typecodes[new_begin]), &(ra->typecodes[begin]),
            sizeof(uint8_t) * range);
}

void ra_shift_tail(roaring_array_t *ra, int32_t count, int32_t distance) {
    if (distance > 0) {
        extend_array(ra, distance);
    }
    int32_t srcpos = ra->size - count;
    int32_t dstpos = srcpos + distance;
    memmove(&(ra->keys[dstpos]), &(ra->keys[srcpos]), sizeof(uint16_t) * count);
    memmove(&(ra->containers[dstpos]), &(ra->containers[srcpos]),
            sizeof(container_t *) * count);
    memmove(&(ra->typecodes[dstpos]), &(ra->typecodes[srcpos]),
            sizeof(uint8_t) * count);
    ra->size += distance;
}

void ra_to_uint32_array(const roaring_array_t *ra, uint32_t *ans) {
    size_t ctr = 0;
    for (int32_t i = 0; i < ra->size; ++i) {
        int num_added = container_to_uint32_array(
            ans + ctr, ra->containers[i], ra->typecodes[i],
            ((uint32_t)ra->keys[i]) << 16);
        ctr += num_added;
    }
}

bool ra_has_run_container(const roaring_array_t *ra) {
    for (int32_t k = 0; k < ra->size; ++k) {
        if (get_container_type(ra->containers[k], ra->typecodes[k]) ==
            RUN_CONTAINER_TYPE)
            return true;
    }
    return false;
}

uint32_t ra_portable_header_size(const roaring_array_t *ra) {
    if (ra_has_run_container(ra)) {
        if (ra->size <
            NO_OFFSET_THRESHOLD) {  // for small bitmaps, we omit the offsets
            return 4 + (ra->size + 7) / 8 + 4 * ra->size;
        }
        return 4 + (ra->size + 7) / 8 +
               8 * ra->size;  // - 4 because we pack the size with the cookie
    } else {
        return 4 + 4 + 8 * ra->size;
    }
}

size_t ra_portable_size_in_bytes(const roaring_array_t *ra) {
    size_t count = ra_portable_header_size(ra);

    for (int32_t k = 0; k < ra->size; ++k) {
        count += container_size_in_bytes(ra->containers[k], ra->typecodes[k]);
    }
    return count;
}

// This function is endian-sensitive.
size_t ra_portable_serialize(const roaring_array_t *ra, char *buf) {
    char *initbuf = buf;
    uint32_t startOffset = 0;
    bool hasrun = ra_has_run_container(ra);
    if (hasrun) {
        uint32_t cookie = SERIAL_COOKIE | ((uint32_t)(ra->size - 1) << 16);
        memcpy(buf, &cookie, sizeof(cookie));
        buf += sizeof(cookie);
        uint32_t s = (ra->size + 7) / 8;
        memset(buf, 0, s);
        for (int32_t i = 0; i < ra->size; ++i) {
            if (get_container_type(ra->containers[i], ra->typecodes[i]) ==
                RUN_CONTAINER_TYPE) {
                buf[i / 8] |= 1 << (i % 8);
            }
        }
        buf += s;
        if (ra->size < NO_OFFSET_THRESHOLD) {
            startOffset = 4 + 4 * ra->size + s;
        } else {
            startOffset = 4 + 8 * ra->size + s;
        }
    } else {  // backwards compatibility
        uint32_t cookie = SERIAL_COOKIE_NO_RUNCONTAINER;

        memcpy(buf, &cookie, sizeof(cookie));
        buf += sizeof(cookie);
        memcpy(buf, &ra->size, sizeof(ra->size));
        buf += sizeof(ra->size);

        startOffset = 4 + 4 + 4 * ra->size + 4 * ra->size;
    }
    for (int32_t k = 0; k < ra->size; ++k) {
        memcpy(buf, &ra->keys[k], sizeof(ra->keys[k]));
        buf += sizeof(ra->keys[k]);
        // get_cardinality returns a value in [1,1<<16], subtracting one
        // we get [0,1<<16 - 1] which fits in 16 bits
        uint16_t card = (uint16_t)(container_get_cardinality(ra->containers[k],
                                                             ra->typecodes[k]) -
                                   1);
        memcpy(buf, &card, sizeof(card));
        buf += sizeof(card);
    }
    if ((!hasrun) || (ra->size >= NO_OFFSET_THRESHOLD)) {
        // writing the containers offsets
        for (int32_t k = 0; k < ra->size; k++) {
            memcpy(buf, &startOffset, sizeof(startOffset));
            buf += sizeof(startOffset);
            startOffset =
                startOffset +
                container_size_in_bytes(ra->containers[k], ra->typecodes[k]);
        }
    }
    for (int32_t k = 0; k < ra->size; ++k) {
        buf += container_write(ra->containers[k], ra->typecodes[k], buf);
    }
    return buf - initbuf;
}

// Quickly checks whether there is a serialized bitmap at the pointer,
// not exceeding size "maxbytes" in bytes. This function does not allocate
// memory dynamically.
//
// This function returns 0 if and only if no valid bitmap is found.
// Otherwise, it returns how many bytes are occupied.
//
size_t ra_portable_deserialize_size(const char *buf, const size_t maxbytes) {
    size_t bytestotal = sizeof(int32_t);  // for cookie
    if (bytestotal > maxbytes) return 0;
    uint32_t cookie;
    memcpy(&cookie, buf, sizeof(int32_t));
    buf += sizeof(uint32_t);
    if ((cookie & 0xFFFF) != SERIAL_COOKIE &&
        cookie != SERIAL_COOKIE_NO_RUNCONTAINER) {
        return 0;
    }
    int32_t size;

    if ((cookie & 0xFFFF) == SERIAL_COOKIE)
        size = (cookie >> 16) + 1;
    else {
        bytestotal += sizeof(int32_t);
        if (bytestotal > maxbytes) return 0;
        memcpy(&size, buf, sizeof(int32_t));
        buf += sizeof(uint32_t);
    }
    if (size > (1 << 16) || size < 0) {
        return 0;
    }
    char *bitmapOfRunContainers = NULL;
    bool hasrun = (cookie & 0xFFFF) == SERIAL_COOKIE;
    if (hasrun) {
        int32_t s = (size + 7) / 8;
        bytestotal += s;
        if (bytestotal > maxbytes) return 0;
        bitmapOfRunContainers = (char *)buf;
        buf += s;
    }
    bytestotal += size * 2 * sizeof(uint16_t);
    if (bytestotal > maxbytes) return 0;
    const char *keyscards = buf;
    buf += size * 2 * sizeof(uint16_t);
    if ((!hasrun) || (size >= NO_OFFSET_THRESHOLD)) {
        // skipping the offsets
        bytestotal += size * 4;
        if (bytestotal > maxbytes) return 0;
        buf += size * 4;
    }
    // Reading the containers
    for (int32_t k = 0; k < size; ++k) {
        uint16_t tmp;
        memcpy(&tmp, keyscards + 4 * k + 2, sizeof(tmp));
        uint32_t thiscard = tmp + 1;
        bool isbitmap = (thiscard > DEFAULT_MAX_SIZE);
        bool isrun = false;
        if (hasrun) {
            if ((bitmapOfRunContainers[k / 8] & (1 << (k % 8))) != 0) {
                isbitmap = false;
                isrun = true;
            }
        }
        if (isbitmap) {
            size_t containersize =
                BITSET_CONTAINER_SIZE_IN_WORDS * sizeof(uint64_t);
            bytestotal += containersize;
            if (bytestotal > maxbytes) return 0;
            buf += containersize;
        } else if (isrun) {
            bytestotal += sizeof(uint16_t);
            if (bytestotal > maxbytes) return 0;
            uint16_t n_runs;
            memcpy(&n_runs, buf, sizeof(uint16_t));
            buf += sizeof(uint16_t);
            size_t containersize = n_runs * sizeof(rle16_t);
            bytestotal += containersize;
            if (bytestotal > maxbytes) return 0;
            buf += containersize;
        } else {
            size_t containersize = thiscard * sizeof(uint16_t);
            bytestotal += containersize;
            if (bytestotal > maxbytes) return 0;
            buf += containersize;
        }
    }
    return bytestotal;
}

// This function populates answer from the content of buf (reading up to
// maxbytes bytes). The function returns false if a properly serialized bitmap
// cannot be found. If it returns true, readbytes is populated by how many bytes
// were read, we have that *readbytes <= maxbytes.
//
// This function is endian-sensitive.
bool ra_portable_deserialize(roaring_array_t *answer, const char *buf,
                             const size_t maxbytes, size_t *readbytes) {
    *readbytes = sizeof(int32_t);  // for cookie
    if (*readbytes > maxbytes) {
        // Ran out of bytes while reading first 4 bytes.
        return false;
    }
    uint32_t cookie;
    memcpy(&cookie, buf, sizeof(int32_t));
    buf += sizeof(uint32_t);
    if ((cookie & 0xFFFF) != SERIAL_COOKIE &&
        cookie != SERIAL_COOKIE_NO_RUNCONTAINER) {
        // "I failed to find one of the right cookies.
        return false;
    }
    int32_t size;

    if ((cookie & 0xFFFF) == SERIAL_COOKIE)
        size = (cookie >> 16) + 1;
    else {
        *readbytes += sizeof(int32_t);
        if (*readbytes > maxbytes) {
            // Ran out of bytes while reading second part of the cookie.
            return false;
        }
        memcpy(&size, buf, sizeof(int32_t));
        buf += sizeof(uint32_t);
    }
    if (size < 0) {
        // You cannot have a negative number of containers, the data must be
        // corrupted.
        return false;
    }
    if (size > (1 << 16)) {
        // You cannot have so many containers, the data must be corrupted.
        return false;
    }
    const char *bitmapOfRunContainers = NULL;
    bool hasrun = (cookie & 0xFFFF) == SERIAL_COOKIE;
    if (hasrun) {
        int32_t s = (size + 7) / 8;
        *readbytes += s;
        if (*readbytes > maxbytes) {  // data is corrupted?
            // Ran out of bytes while reading run bitmap.
            return false;
        }
        bitmapOfRunContainers = buf;
        buf += s;
    }
    const char *keyscards = buf;

    *readbytes += size * 2 * sizeof(uint16_t);
    if (*readbytes > maxbytes) {
        // Ran out of bytes while reading key-cardinality array.
        return false;
    }
    buf += size * 2 * sizeof(uint16_t);

    bool is_ok = ra_init_with_capacity(answer, size);
    if (!is_ok) {
        // Failed to allocate memory for roaring array. Bailing out.
        return false;
    }

    for (int32_t k = 0; k < size; ++k) {
        uint16_t tmp;
        memcpy(&tmp, keyscards + 4 * k, sizeof(tmp));
        answer->keys[k] = tmp;
    }
    if ((!hasrun) || (size >= NO_OFFSET_THRESHOLD)) {
        *readbytes += size * 4;
        if (*readbytes > maxbytes) {  // data is corrupted?
            // Ran out of bytes while reading offsets.
            ra_clear(answer);  // we need to clear the containers already
                               // allocated, and the roaring array
            return false;
        }

        // skipping the offsets
        buf += size * 4;
    }
    // Reading the containers
    for (int32_t k = 0; k < size; ++k) {
        uint16_t tmp;
        memcpy(&tmp, keyscards + 4 * k + 2, sizeof(tmp));
        uint32_t thiscard = tmp + 1;
        bool isbitmap = (thiscard > DEFAULT_MAX_SIZE);
        bool isrun = false;
        if (hasrun) {
            if ((bitmapOfRunContainers[k / 8] & (1 << (k % 8))) != 0) {
                isbitmap = false;
                isrun = true;
            }
        }
        if (isbitmap) {
            // we check that the read is allowed
            size_t containersize =
                BITSET_CONTAINER_SIZE_IN_WORDS * sizeof(uint64_t);
            *readbytes += containersize;
            if (*readbytes > maxbytes) {
                // Running out of bytes while reading a bitset container.
                ra_clear(answer);  // we need to clear the containers already
                                   // allocated, and the roaring array
                return false;
            }
            // it is now safe to read
            bitset_container_t *c = bitset_container_create();
            if (c == NULL) {  // memory allocation failure
                // Failed to allocate memory for a bitset container.
                ra_clear(answer);  // we need to clear the containers already
                                   // allocated, and the roaring array
                return false;
            }
            answer->size++;
            buf += bitset_container_read(thiscard, c, buf);
            answer->containers[k] = c;
            answer->typecodes[k] = BITSET_CONTAINER_TYPE;
        } else if (isrun) {
            // we check that the read is allowed
            *readbytes += sizeof(uint16_t);
            if (*readbytes > maxbytes) {
                // Running out of bytes while reading a run container (header).
                ra_clear(answer);  // we need to clear the containers already
                                   // allocated, and the roaring array
                return false;
            }
            uint16_t n_runs;
            memcpy(&n_runs, buf, sizeof(uint16_t));
            size_t containersize = n_runs * sizeof(rle16_t);
            *readbytes += containersize;
            if (*readbytes > maxbytes) {  // data is corrupted?
                // Running out of bytes while reading a run container.
                ra_clear(answer);  // we need to clear the containers already
                                   // allocated, and the roaring array
                return false;
            }
            // it is now safe to read

            run_container_t *c = run_container_create();
            if (c == NULL) {  // memory allocation failure
                // Failed to allocate memory for a run container.
                ra_clear(answer);  // we need to clear the containers already
                                   // allocated, and the roaring array
                return false;
            }
            answer->size++;
            buf += run_container_read(thiscard, c, buf);
            answer->containers[k] = c;
            answer->typecodes[k] = RUN_CONTAINER_TYPE;
        } else {
            // we check that the read is allowed
            size_t containersize = thiscard * sizeof(uint16_t);
            *readbytes += containersize;
            if (*readbytes > maxbytes) {  // data is corrupted?
                // Running out of bytes while reading an array container.
                ra_clear(answer);  // we need to clear the containers already
                                   // allocated, and the roaring array
                return false;
            }
            // it is now safe to read
            array_container_t *c =
                array_container_create_given_capacity(thiscard);
            if (c == NULL) {  // memory allocation failure
                // Failed to allocate memory for an array container.
                ra_clear(answer);  // we need to clear the containers already
                                   // allocated, and the roaring array
                return false;
            }
            answer->size++;
            buf += array_container_read(thiscard, c, buf);
            answer->containers[k] = c;
            answer->typecodes[k] = ARRAY_CONTAINER_TYPE;
        }
    }
    return true;
}

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace internal {
#endif
/* end file src/roaring_array.c */
/* begin file src/roaring_priority_queue.c */

#ifdef __cplusplus
using namespace ::roaring::internal;

extern "C" {
namespace roaring {
namespace api {
#endif

struct roaring_pq_element_s {
    uint64_t size;
    bool is_temporary;
    roaring_bitmap_t *bitmap;
};

typedef struct roaring_pq_element_s roaring_pq_element_t;

struct roaring_pq_s {
    roaring_pq_element_t *elements;
    uint64_t size;
};

typedef struct roaring_pq_s roaring_pq_t;

static inline bool compare(roaring_pq_element_t *t1, roaring_pq_element_t *t2) {
    return t1->size < t2->size;
}

static void pq_add(roaring_pq_t *pq, roaring_pq_element_t *t) {
    uint64_t i = pq->size;
    pq->elements[pq->size++] = *t;
    while (i > 0) {
        uint64_t p = (i - 1) >> 1;
        roaring_pq_element_t ap = pq->elements[p];
        if (!compare(t, &ap)) break;
        pq->elements[i] = ap;
        i = p;
    }
    pq->elements[i] = *t;
}

static void pq_free(roaring_pq_t *pq) { roaring_free(pq); }

static void percolate_down(roaring_pq_t *pq, uint32_t i) {
    uint32_t size = (uint32_t)pq->size;
    uint32_t hsize = size >> 1;
    roaring_pq_element_t ai = pq->elements[i];
    while (i < hsize) {
        uint32_t l = (i << 1) + 1;
        uint32_t r = l + 1;
        roaring_pq_element_t bestc = pq->elements[l];
        if (r < size) {
            if (compare(pq->elements + r, &bestc)) {
                l = r;
                bestc = pq->elements[r];
            }
        }
        if (!compare(&bestc, &ai)) {
            break;
        }
        pq->elements[i] = bestc;
        i = l;
    }
    pq->elements[i] = ai;
}

static roaring_pq_t *create_pq(const roaring_bitmap_t **arr, uint32_t length) {
    size_t alloc_size =
        sizeof(roaring_pq_t) + sizeof(roaring_pq_element_t) * length;
    roaring_pq_t *answer = (roaring_pq_t *)roaring_malloc(alloc_size);
    answer->elements = (roaring_pq_element_t *)(answer + 1);
    answer->size = length;
    for (uint32_t i = 0; i < length; i++) {
        answer->elements[i].bitmap = (roaring_bitmap_t *)arr[i];
        answer->elements[i].is_temporary = false;
        answer->elements[i].size =
            roaring_bitmap_portable_size_in_bytes(arr[i]);
    }
    for (int32_t i = (length >> 1); i >= 0; i--) {
        percolate_down(answer, i);
    }
    return answer;
}

static roaring_pq_element_t pq_poll(roaring_pq_t *pq) {
    roaring_pq_element_t ans = *pq->elements;
    if (pq->size > 1) {
        pq->elements[0] = pq->elements[--pq->size];
        percolate_down(pq, 0);
    } else
        --pq->size;
    // memmove(pq->elements,pq->elements+1,(pq->size-1)*sizeof(roaring_pq_element_t));--pq->size;
    return ans;
}

// this function consumes and frees the inputs
static roaring_bitmap_t *lazy_or_from_lazy_inputs(roaring_bitmap_t *x1,
                                                  roaring_bitmap_t *x2) {
    uint8_t result_type = 0;
    const int length1 = ra_get_size(&x1->high_low_container),
              length2 = ra_get_size(&x2->high_low_container);
    if (0 == length1) {
        roaring_bitmap_free(x1);
        return x2;
    }
    if (0 == length2) {
        roaring_bitmap_free(x2);
        return x1;
    }
    uint32_t neededcap = length1 > length2 ? length2 : length1;
    roaring_bitmap_t *answer = roaring_bitmap_create_with_capacity(neededcap);
    int pos1 = 0, pos2 = 0;
    uint8_t type1, type2;
    uint16_t s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
    uint16_t s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
    while (true) {
        if (s1 == s2) {
            // todo: unsharing can be inefficient as it may create a clone where
            // none
            // is needed, but it has the benefit of being easy to reason about.

            ra_unshare_container_at_index(&x1->high_low_container,
                                          (uint16_t)pos1);
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            assert(type1 != SHARED_CONTAINER_TYPE);

            ra_unshare_container_at_index(&x2->high_low_container,
                                          (uint16_t)pos2);
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            assert(type2 != SHARED_CONTAINER_TYPE);

            container_t *c;

            if ((type2 == BITSET_CONTAINER_TYPE) &&
                (type1 != BITSET_CONTAINER_TYPE)) {
                c = container_lazy_ior(c2, type2, c1, type1, &result_type);
                container_free(c1, type1);
                if (c != c2) {
                    container_free(c2, type2);
                }
            } else {
                c = container_lazy_ior(c1, type1, c2, type2, &result_type);
                container_free(c2, type2);
                if (c != c1) {
                    container_free(c1, type1);
                }
            }
            // since we assume that the initial containers are non-empty, the
            // result here
            // can only be non-empty
            ra_append(&answer->high_low_container, s1, c, result_type);
            ++pos1;
            ++pos2;
            if (pos1 == length1) break;
            if (pos2 == length2) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);

        } else if (s1 < s2) {  // s1 < s2
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            ra_append(&answer->high_low_container, s1, c1, type1);
            pos1++;
            if (pos1 == length1) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);

        } else {  // s1 > s2
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            ra_append(&answer->high_low_container, s2, c2, type2);
            pos2++;
            if (pos2 == length2) break;
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
        }
    }
    if (pos1 == length1) {
        ra_append_move_range(&answer->high_low_container,
                             &x2->high_low_container, pos2, length2);
    } else if (pos2 == length2) {
        ra_append_move_range(&answer->high_low_container,
                             &x1->high_low_container, pos1, length1);
    }
    ra_clear_without_containers(&x1->high_low_container);
    ra_clear_without_containers(&x2->high_low_container);
    roaring_free(x1);
    roaring_free(x2);
    return answer;
}

/**
 * Compute the union of 'number' bitmaps using a heap. This can
 * sometimes be faster than roaring_bitmap_or_many which uses
 * a naive algorithm. Caller is responsible for freeing the
 * result.
 */
roaring_bitmap_t *roaring_bitmap_or_many_heap(uint32_t number,
                                              const roaring_bitmap_t **x) {
    if (number == 0) {
        return roaring_bitmap_create();
    }
    if (number == 1) {
        return roaring_bitmap_copy(x[0]);
    }
    roaring_pq_t *pq = create_pq(x, number);
    while (pq->size > 1) {
        roaring_pq_element_t x1 = pq_poll(pq);
        roaring_pq_element_t x2 = pq_poll(pq);

        if (x1.is_temporary && x2.is_temporary) {
            roaring_bitmap_t *newb =
                lazy_or_from_lazy_inputs(x1.bitmap, x2.bitmap);
            // should normally return a fresh new bitmap *except* that
            // it can return x1.bitmap or x2.bitmap in degenerate cases
            bool temporary = !((newb == x1.bitmap) && (newb == x2.bitmap));
            uint64_t bsize = roaring_bitmap_portable_size_in_bytes(newb);
            roaring_pq_element_t newelement = {
                .size = bsize, .is_temporary = temporary, .bitmap = newb};
            pq_add(pq, &newelement);
        } else if (x2.is_temporary) {
            roaring_bitmap_lazy_or_inplace(x2.bitmap, x1.bitmap, false);
            x2.size = roaring_bitmap_portable_size_in_bytes(x2.bitmap);
            pq_add(pq, &x2);
        } else if (x1.is_temporary) {
            roaring_bitmap_lazy_or_inplace(x1.bitmap, x2.bitmap, false);
            x1.size = roaring_bitmap_portable_size_in_bytes(x1.bitmap);

            pq_add(pq, &x1);
        } else {
            roaring_bitmap_t *newb =
                roaring_bitmap_lazy_or(x1.bitmap, x2.bitmap, false);
            uint64_t bsize = roaring_bitmap_portable_size_in_bytes(newb);
            roaring_pq_element_t newelement = {
                .size = bsize, .is_temporary = true, .bitmap = newb};

            pq_add(pq, &newelement);
        }
    }
    roaring_pq_element_t X = pq_poll(pq);
    roaring_bitmap_t *answer = X.bitmap;
    roaring_bitmap_repair_after_lazy(answer);
    pq_free(pq);
    return answer;
}

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring { namespace api {
#endif
/* end file src/roaring_priority_queue.c */
/* begin file src/roaring.c */
#include <assert.h>
#include <inttypes.h>
#include <limits.h>
#include <stdarg.h>
#include <stdint.h>
#include <stdio.h>
#include <string.h>


// Include after roaring.h

#ifdef __cplusplus
using namespace ::roaring::internal;

extern "C" {
namespace roaring {
namespace api {
#endif

#define CROARING_SERIALIZATION_ARRAY_UINT32 1
#define CROARING_SERIALIZATION_CONTAINER 2
extern inline bool roaring_bitmap_contains(const roaring_bitmap_t *r,
                                           uint32_t val);
extern inline int roaring_trailing_zeroes(unsigned long long input_num);
extern inline int roaring_leading_zeroes(unsigned long long input_num);
extern inline void roaring_bitmap_init_cleared(roaring_bitmap_t *r);
extern inline bool roaring_bitmap_get_copy_on_write(const roaring_bitmap_t *r);
extern inline void roaring_bitmap_set_copy_on_write(roaring_bitmap_t *r,
                                                    bool cow);
extern inline roaring_bitmap_t *roaring_bitmap_create(void);
extern inline void roaring_bitmap_add_range(roaring_bitmap_t *r, uint64_t min,
                                            uint64_t max);
extern inline void roaring_bitmap_remove_range(roaring_bitmap_t *r,
                                               uint64_t min, uint64_t max);

static inline bool is_cow(const roaring_bitmap_t *r) {
    return r->high_low_container.flags & ROARING_FLAG_COW;
}
static inline bool is_frozen(const roaring_bitmap_t *r) {
    return r->high_low_container.flags & ROARING_FLAG_FROZEN;
}

// this is like roaring_bitmap_add, but it populates pointer arguments in such a
// way
// that we can recover the container touched, which, in turn can be used to
// accelerate some functions (when you repeatedly need to add to the same
// container)
static inline container_t *containerptr_roaring_bitmap_add(roaring_bitmap_t *r,
                                                           uint32_t val,
                                                           uint8_t *type,
                                                           int *index) {
    roaring_array_t *ra = &r->high_low_container;

    uint16_t hb = val >> 16;
    const int i = ra_get_index(ra, hb);
    if (i >= 0) {
        ra_unshare_container_at_index(ra, (uint16_t)i);
        container_t *c = ra_get_container_at_index(ra, (uint16_t)i, type);
        uint8_t new_type = *type;
        container_t *c2 = container_add(c, val & 0xFFFF, *type, &new_type);
        *index = i;
        if (c2 != c) {
            container_free(c, *type);
            ra_set_container_at_index(ra, i, c2, new_type);
            *type = new_type;
            return c2;
        } else {
            return c;
        }
    } else {
        array_container_t *new_ac = array_container_create();
        container_t *c =
            container_add(new_ac, val & 0xFFFF, ARRAY_CONTAINER_TYPE, type);
        // we could just assume that it stays an array container
        ra_insert_new_key_value_at(ra, -i - 1, hb, c, *type);
        *index = -i - 1;
        return c;
    }
}

roaring_bitmap_t *roaring_bitmap_create_with_capacity(uint32_t cap) {
    roaring_bitmap_t *ans =
        (roaring_bitmap_t *)roaring_malloc(sizeof(roaring_bitmap_t));
    if (!ans) {
        return NULL;
    }
    bool is_ok = ra_init_with_capacity(&ans->high_low_container, cap);
    if (!is_ok) {
        roaring_free(ans);
        return NULL;
    }
    return ans;
}

bool roaring_bitmap_init_with_capacity(roaring_bitmap_t *r, uint32_t cap) {
    return ra_init_with_capacity(&r->high_low_container, cap);
}

static inline void add_bulk_impl(roaring_bitmap_t *r,
                                 roaring_bulk_context_t *context,
                                 uint32_t val) {
    uint16_t key = val >> 16;
    if (context->container == NULL || context->key != key) {
        uint8_t typecode;
        int idx;
        context->container =
            containerptr_roaring_bitmap_add(r, val, &typecode, &idx);
        context->typecode = typecode;
        context->idx = idx;
        context->key = key;
    } else {
        // no need to seek the container, it is at hand
        // because we already have the container at hand, we can do the
        // insertion directly, bypassing the roaring_bitmap_add call
        uint8_t new_typecode;
        container_t *container2 = container_add(
            context->container, val & 0xFFFF, context->typecode, &new_typecode);
        if (container2 != context->container) {
            // rare instance when we need to change the container type
            container_free(context->container, context->typecode);
            ra_set_container_at_index(&r->high_low_container, context->idx,
                                      container2, new_typecode);
            context->typecode = new_typecode;
            context->container = container2;
        }
    }
}

void roaring_bitmap_add_many(roaring_bitmap_t *r, size_t n_args,
                             const uint32_t *vals) {
    uint32_t val;
    const uint32_t *start = vals;
    const uint32_t *end = vals + n_args;
    const uint32_t *current_val = start;

    if (n_args == 0) {
        return;
    }

    uint8_t typecode;
    int idx;
    container_t *container;
    val = *current_val;
    container = containerptr_roaring_bitmap_add(r, val, &typecode, &idx);
    roaring_bulk_context_t context = {container, idx, (uint16_t)(val >> 16),
                                      typecode};

    for (; current_val != end; current_val++) {
        memcpy(&val, current_val, sizeof(val));
        add_bulk_impl(r, &context, val);
    }
}

void roaring_bitmap_add_bulk(roaring_bitmap_t *r,
                             roaring_bulk_context_t *context, uint32_t val) {
    add_bulk_impl(r, context, val);
}

bool roaring_bitmap_contains_bulk(const roaring_bitmap_t *r,
                                  roaring_bulk_context_t *context,
                                  uint32_t val) {
    uint16_t key = val >> 16;
    if (context->container == NULL || context->key != key) {
        int32_t start_idx = -1;
        if (context->container != NULL && context->key < key) {
            start_idx = context->idx;
        }
        int idx = ra_advance_until(&r->high_low_container, key, start_idx);
        if (idx == ra_get_size(&r->high_low_container)) {
            return false;
        }
        uint8_t typecode;
        context->container = ra_get_container_at_index(
            &r->high_low_container, (uint16_t)idx, &typecode);
        context->typecode = typecode;
        context->idx = idx;
        context->key =
            ra_get_key_at_index(&r->high_low_container, (uint16_t)idx);
        // ra_advance_until finds the next key >= the target, we found a later
        // container.
        if (context->key != key) {
            return false;
        }
    }
    // context is now set up
    return container_contains(context->container, val & 0xFFFF,
                              context->typecode);
}

roaring_bitmap_t *roaring_bitmap_of_ptr(size_t n_args, const uint32_t *vals) {
    roaring_bitmap_t *answer = roaring_bitmap_create();
    roaring_bitmap_add_many(answer, n_args, vals);
    return answer;
}

roaring_bitmap_t *roaring_bitmap_of(size_t n_args, ...) {
    // todo: could be greatly optimized but we do not expect this call to ever
    // include long lists
    roaring_bitmap_t *answer = roaring_bitmap_create();
    roaring_bulk_context_t context = CROARING_ZERO_INITIALIZER;
    va_list ap;
    va_start(ap, n_args);
    for (size_t i = 0; i < n_args; i++) {
        uint32_t val = va_arg(ap, uint32_t);
        roaring_bitmap_add_bulk(answer, &context, val);
    }
    va_end(ap);
    return answer;
}

static inline uint64_t minimum_uint64(uint64_t a, uint64_t b) {
    return (a < b) ? a : b;
}

roaring_bitmap_t *roaring_bitmap_from_range(uint64_t min, uint64_t max,
                                            uint32_t step) {
    if (max >= UINT64_C(0x100000000)) {
        max = UINT64_C(0x100000000);
    }
    if (step == 0) return NULL;
    if (max <= min) return NULL;
    roaring_bitmap_t *answer = roaring_bitmap_create();
    if (step >= (1 << 16)) {
        for (uint32_t value = (uint32_t)min; value < max; value += step) {
            roaring_bitmap_add(answer, value);
        }
        return answer;
    }
    uint64_t min_tmp = min;
    do {
        uint32_t key = (uint32_t)min_tmp >> 16;
        uint32_t container_min = min_tmp & 0xFFFF;
        uint32_t container_max =
            (uint32_t)minimum_uint64(max - (key << 16), 1 << 16);
        uint8_t type;
        container_t *container = container_from_range(
            &type, container_min, container_max, (uint16_t)step);
        ra_append(&answer->high_low_container, (uint16_t)key, container, type);
        uint32_t gap = container_max - container_min + step - 1;
        min_tmp += gap - (gap % step);
    } while (min_tmp < max);
    // cardinality of bitmap will be ((uint64_t) max - min + step - 1 ) / step
    return answer;
}

void roaring_bitmap_add_range_closed(roaring_bitmap_t *r, uint32_t min,
                                     uint32_t max) {
    if (min > max) {
        return;
    }

    roaring_array_t *ra = &r->high_low_container;

    uint32_t min_key = min >> 16;
    uint32_t max_key = max >> 16;

    int32_t num_required_containers = max_key - min_key + 1;
    int32_t suffix_length =
        count_greater(ra->keys, ra->size, (uint16_t)max_key);
    int32_t prefix_length =
        count_less(ra->keys, ra->size - suffix_length, (uint16_t)min_key);
    int32_t common_length = ra->size - prefix_length - suffix_length;

    if (num_required_containers > common_length) {
        ra_shift_tail(ra, suffix_length,
                      num_required_containers - common_length);
    }

    int32_t src = prefix_length + common_length - 1;
    int32_t dst = ra->size - suffix_length - 1;
    for (uint32_t key = max_key; key != min_key - 1;
         key--) {  // beware of min_key==0
        uint32_t container_min = (min_key == key) ? (min & 0xffff) : 0;
        uint32_t container_max = (max_key == key) ? (max & 0xffff) : 0xffff;
        container_t *new_container;
        uint8_t new_type;

        if (src >= 0 && ra->keys[src] == key) {
            ra_unshare_container_at_index(ra, (uint16_t)src);
            new_container =
                container_add_range(ra->containers[src], ra->typecodes[src],
                                    container_min, container_max, &new_type);
            if (new_container != ra->containers[src]) {
                container_free(ra->containers[src], ra->typecodes[src]);
            }
            src--;
        } else {
            new_container = container_from_range(&new_type, container_min,
                                                 container_max + 1, 1);
        }
        ra_replace_key_and_container_at_index(ra, dst, (uint16_t)key,
                                              new_container, new_type);
        dst--;
    }
}

void roaring_bitmap_remove_range_closed(roaring_bitmap_t *r, uint32_t min,
                                        uint32_t max) {
    if (min > max) {
        return;
    }

    roaring_array_t *ra = &r->high_low_container;

    uint32_t min_key = min >> 16;
    uint32_t max_key = max >> 16;

    int32_t src = count_less(ra->keys, ra->size, (uint16_t)min_key);
    int32_t dst = src;
    while (src < ra->size && ra->keys[src] <= max_key) {
        uint32_t container_min =
            (min_key == ra->keys[src]) ? (min & 0xffff) : 0;
        uint32_t container_max =
            (max_key == ra->keys[src]) ? (max & 0xffff) : 0xffff;
        ra_unshare_container_at_index(ra, (uint16_t)src);
        container_t *new_container;
        uint8_t new_type;
        new_container =
            container_remove_range(ra->containers[src], ra->typecodes[src],
                                   container_min, container_max, &new_type);
        if (new_container != ra->containers[src]) {
            container_free(ra->containers[src], ra->typecodes[src]);
        }
        if (new_container) {
            ra_replace_key_and_container_at_index(ra, dst, ra->keys[src],
                                                  new_container, new_type);
            dst++;
        }
        src++;
    }
    if (src > dst) {
        ra_shift_tail(ra, ra->size - src, dst - src);
    }
}

void roaring_bitmap_printf(const roaring_bitmap_t *r) {
    const roaring_array_t *ra = &r->high_low_container;

    printf("{");
    for (int i = 0; i < ra->size; ++i) {
        container_printf_as_uint32_array(ra->containers[i], ra->typecodes[i],
                                         ((uint32_t)ra->keys[i]) << 16);

        if (i + 1 < ra->size) {
            printf(",");
        }
    }
    printf("}");
}

void roaring_bitmap_printf_describe(const roaring_bitmap_t *r) {
    const roaring_array_t *ra = &r->high_low_container;

    printf("{");
    for (int i = 0; i < ra->size; ++i) {
        printf("%d: %s (%d)", ra->keys[i],
               get_full_container_name(ra->containers[i], ra->typecodes[i]),
               container_get_cardinality(ra->containers[i], ra->typecodes[i]));
        if (ra->typecodes[i] == SHARED_CONTAINER_TYPE) {
            printf("(shared count = %" PRIu32 " )",
                   croaring_refcount_get(
                       &(CAST_shared(ra->containers[i])->counter)));
        }

        if (i + 1 < ra->size) {
            printf(", ");
        }
    }
    printf("}");
}

/**
 *  (For advanced users.)
 * Collect statistics about the bitmap
 */
void roaring_bitmap_statistics(const roaring_bitmap_t *r,
                               roaring_statistics_t *stat) {
    const roaring_array_t *ra = &r->high_low_container;

    memset(stat, 0, sizeof(*stat));
    stat->n_containers = ra->size;
    stat->min_value = roaring_bitmap_minimum(r);
    stat->max_value = roaring_bitmap_maximum(r);

    for (int i = 0; i < ra->size; ++i) {
        uint8_t truetype =
            get_container_type(ra->containers[i], ra->typecodes[i]);
        uint32_t card =
            container_get_cardinality(ra->containers[i], ra->typecodes[i]);
        uint32_t sbytes =
            container_size_in_bytes(ra->containers[i], ra->typecodes[i]);
        stat->cardinality += card;
        switch (truetype) {
            case BITSET_CONTAINER_TYPE:
                stat->n_bitset_containers++;
                stat->n_values_bitset_containers += card;
                stat->n_bytes_bitset_containers += sbytes;
                break;
            case ARRAY_CONTAINER_TYPE:
                stat->n_array_containers++;
                stat->n_values_array_containers += card;
                stat->n_bytes_array_containers += sbytes;
                break;
            case RUN_CONTAINER_TYPE:
                stat->n_run_containers++;
                stat->n_values_run_containers += card;
                stat->n_bytes_run_containers += sbytes;
                break;
            default:
                assert(false);
                roaring_unreachable;
        }
    }
}

bool roaring_contains_shared(const roaring_bitmap_t *r) {
    const roaring_array_t *ra = &r->high_low_container;
    for (int i = 0; i < ra->size; ++i) {
        if (ra->typecodes[i] == SHARED_CONTAINER_TYPE) {
            return true;
        }
    }
    return false;
}

bool roaring_unshare_all(roaring_bitmap_t *r) {
    const roaring_array_t *ra = &r->high_low_container;
    bool unshared = false;
    for (int i = 0; i < ra->size; ++i) {
        uint8_t typecode = ra->typecodes[i];
        if (typecode == SHARED_CONTAINER_TYPE) {
            ra->containers[i] = get_writable_copy_if_shared(ra->containers[i],
                                                            &ra->typecodes[i]);
            unshared = true;
        }
    }
    return unshared;
}

/*
 * Checks that:
 * - Array containers are sorted and contain no duplicates
 * - Range containers are sorted and contain no overlapping ranges
 * - Roaring containers are sorted by key and there are no duplicate keys
 * - The correct container type is use for each container (e.g. bitmaps aren't
 * used for small containers)
 * - Shared containers are only used when the bitmap is COW
 */
bool roaring_bitmap_internal_validate(const roaring_bitmap_t *r,
                                      const char **reason) {
    const char *reason_local;
    if (reason == NULL) {
        // Always allow assigning through *reason
        reason = &reason_local;
    }
    *reason = NULL;
    const roaring_array_t *ra = &r->high_low_container;
    if (ra->size < 0) {
        *reason = "negative size";
        return false;
    }
    if (ra->allocation_size < 0) {
        *reason = "negative allocation size";
        return false;
    }
    if (ra->size > ra->allocation_size) {
        *reason = "more containers than allocated space";
        return false;
    }
    if (ra->flags & ~(ROARING_FLAG_COW | ROARING_FLAG_FROZEN)) {
        *reason = "invalid flags";
        return false;
    }
    if (ra->size == 0) {
        return true;
    }

    if (ra->keys == NULL) {
        *reason = "keys is NULL";
        return false;
    }
    if (ra->typecodes == NULL) {
        *reason = "typecodes is NULL";
        return false;
    }
    if (ra->containers == NULL) {
        *reason = "containers is NULL";
        return false;
    }

    uint32_t prev_key = ra->keys[0];
    for (int32_t i = 1; i < ra->size; ++i) {
        if (ra->keys[i] <= prev_key) {
            *reason = "keys not strictly increasing";
            return false;
        }
        prev_key = ra->keys[i];
    }

    bool cow = roaring_bitmap_get_copy_on_write(r);

    for (int32_t i = 0; i < ra->size; ++i) {
        if (ra->typecodes[i] == SHARED_CONTAINER_TYPE && !cow) {
            *reason = "shared container in non-COW bitmap";
            return false;
        }
        if (!container_internal_validate(ra->containers[i], ra->typecodes[i],
                                         reason)) {
            // reason should already be set
            if (*reason == NULL) {
                *reason = "container failed to validate but no reason given";
            }
            return false;
        }
    }

    return true;
}

roaring_bitmap_t *roaring_bitmap_copy(const roaring_bitmap_t *r) {
    roaring_bitmap_t *ans =
        (roaring_bitmap_t *)roaring_malloc(sizeof(roaring_bitmap_t));
    if (!ans) {
        return NULL;
    }
    if (!ra_init_with_capacity(  // allocation of list of containers can fail
            &ans->high_low_container, r->high_low_container.size)) {
        roaring_free(ans);
        return NULL;
    }
    if (!ra_overwrite(  // memory allocation of individual containers may fail
            &r->high_low_container, &ans->high_low_container, is_cow(r))) {
        roaring_bitmap_free(ans);  // overwrite should leave in freeable state
        return NULL;
    }
    roaring_bitmap_set_copy_on_write(ans, is_cow(r));
    return ans;
}

bool roaring_bitmap_overwrite(roaring_bitmap_t *dest,
                              const roaring_bitmap_t *src) {
    roaring_bitmap_set_copy_on_write(dest, is_cow(src));
    return ra_overwrite(&src->high_low_container, &dest->high_low_container,
                        is_cow(src));
}

void roaring_bitmap_free(const roaring_bitmap_t *r) {
    if (r == NULL) {
        return;
    }
    if (!is_frozen(r)) {
        ra_clear((roaring_array_t *)&r->high_low_container);
    }
    roaring_free((roaring_bitmap_t *)r);
}

void roaring_bitmap_clear(roaring_bitmap_t *r) {
    ra_reset(&r->high_low_container);
}

void roaring_bitmap_add(roaring_bitmap_t *r, uint32_t val) {
    roaring_array_t *ra = &r->high_low_container;

    const uint16_t hb = val >> 16;
    const int i = ra_get_index(ra, hb);
    uint8_t typecode;
    if (i >= 0) {
        ra_unshare_container_at_index(ra, (uint16_t)i);
        container_t *container =
            ra_get_container_at_index(ra, (uint16_t)i, &typecode);
        uint8_t newtypecode = typecode;
        container_t *container2 =
            container_add(container, val & 0xFFFF, typecode, &newtypecode);
        if (container2 != container) {
            container_free(container, typecode);
            ra_set_container_at_index(&r->high_low_container, i, container2,
                                      newtypecode);
        }
    } else {
        array_container_t *newac = array_container_create();
        container_t *container =
            container_add(newac, val & 0xFFFF, ARRAY_CONTAINER_TYPE, &typecode);
        // we could just assume that it stays an array container
        ra_insert_new_key_value_at(&r->high_low_container, -i - 1, hb,
                                   container, typecode);
    }
}

bool roaring_bitmap_add_checked(roaring_bitmap_t *r, uint32_t val) {
    const uint16_t hb = val >> 16;
    const int i = ra_get_index(&r->high_low_container, hb);
    uint8_t typecode;
    bool result = false;
    if (i >= 0) {
        ra_unshare_container_at_index(&r->high_low_container, (uint16_t)i);
        container_t *container = ra_get_container_at_index(
            &r->high_low_container, (uint16_t)i, &typecode);

        const int oldCardinality =
            container_get_cardinality(container, typecode);

        uint8_t newtypecode = typecode;
        container_t *container2 =
            container_add(container, val & 0xFFFF, typecode, &newtypecode);
        if (container2 != container) {
            container_free(container, typecode);
            ra_set_container_at_index(&r->high_low_container, i, container2,
                                      newtypecode);
            result = true;
        } else {
            const int newCardinality =
                container_get_cardinality(container, newtypecode);

            result = oldCardinality != newCardinality;
        }
    } else {
        array_container_t *newac = array_container_create();
        container_t *container =
            container_add(newac, val & 0xFFFF, ARRAY_CONTAINER_TYPE, &typecode);
        // we could just assume that it stays an array container
        ra_insert_new_key_value_at(&r->high_low_container, -i - 1, hb,
                                   container, typecode);
        result = true;
    }

    return result;
}

void roaring_bitmap_remove(roaring_bitmap_t *r, uint32_t val) {
    const uint16_t hb = val >> 16;
    const int i = ra_get_index(&r->high_low_container, hb);
    uint8_t typecode;
    if (i >= 0) {
        ra_unshare_container_at_index(&r->high_low_container, (uint16_t)i);
        container_t *container = ra_get_container_at_index(
            &r->high_low_container, (uint16_t)i, &typecode);
        uint8_t newtypecode = typecode;
        container_t *container2 =
            container_remove(container, val & 0xFFFF, typecode, &newtypecode);
        if (container2 != container) {
            container_free(container, typecode);
            ra_set_container_at_index(&r->high_low_container, i, container2,
                                      newtypecode);
        }
        if (container_nonzero_cardinality(container2, newtypecode)) {
            ra_set_container_at_index(&r->high_low_container, i, container2,
                                      newtypecode);
        } else {
            ra_remove_at_index_and_free(&r->high_low_container, i);
        }
    }
}

bool roaring_bitmap_remove_checked(roaring_bitmap_t *r, uint32_t val) {
    const uint16_t hb = val >> 16;
    const int i = ra_get_index(&r->high_low_container, hb);
    uint8_t typecode;
    bool result = false;
    if (i >= 0) {
        ra_unshare_container_at_index(&r->high_low_container, (uint16_t)i);
        container_t *container = ra_get_container_at_index(
            &r->high_low_container, (uint16_t)i, &typecode);

        const int oldCardinality =
            container_get_cardinality(container, typecode);

        uint8_t newtypecode = typecode;
        container_t *container2 =
            container_remove(container, val & 0xFFFF, typecode, &newtypecode);
        if (container2 != container) {
            container_free(container, typecode);
            ra_set_container_at_index(&r->high_low_container, i, container2,
                                      newtypecode);
        }

        const int newCardinality =
            container_get_cardinality(container2, newtypecode);

        if (newCardinality != 0) {
            ra_set_container_at_index(&r->high_low_container, i, container2,
                                      newtypecode);
        } else {
            ra_remove_at_index_and_free(&r->high_low_container, i);
        }

        result = oldCardinality != newCardinality;
    }
    return result;
}

void roaring_bitmap_remove_many(roaring_bitmap_t *r, size_t n_args,
                                const uint32_t *vals) {
    if (n_args == 0 || r->high_low_container.size == 0) {
        return;
    }
    int32_t pos =
        -1;  // position of the container used in the previous iteration
    for (size_t i = 0; i < n_args; i++) {
        uint16_t key = (uint16_t)(vals[i] >> 16);
        if (pos < 0 || key != r->high_low_container.keys[pos]) {
            pos = ra_get_index(&r->high_low_container, key);
        }
        if (pos >= 0) {
            uint8_t new_typecode;
            container_t *new_container;
            new_container = container_remove(
                r->high_low_container.containers[pos], vals[i] & 0xffff,
                r->high_low_container.typecodes[pos], &new_typecode);
            if (new_container != r->high_low_container.containers[pos]) {
                container_free(r->high_low_container.containers[pos],
                               r->high_low_container.typecodes[pos]);
                ra_replace_key_and_container_at_index(&r->high_low_container,
                                                      pos, key, new_container,
                                                      new_typecode);
            }
            if (!container_nonzero_cardinality(new_container, new_typecode)) {
                container_free(new_container, new_typecode);
                ra_remove_at_index(&r->high_low_container, pos);
                pos = -1;
            }
        }
    }
}

// there should be some SIMD optimizations possible here
roaring_bitmap_t *roaring_bitmap_and(const roaring_bitmap_t *x1,
                                     const roaring_bitmap_t *x2) {
    uint8_t result_type = 0;
    const int length1 = x1->high_low_container.size,
              length2 = x2->high_low_container.size;
    uint32_t neededcap = length1 > length2 ? length2 : length1;
    roaring_bitmap_t *answer = roaring_bitmap_create_with_capacity(neededcap);
    roaring_bitmap_set_copy_on_write(answer, is_cow(x1) || is_cow(x2));

    int pos1 = 0, pos2 = 0;

    while (pos1 < length1 && pos2 < length2) {
        const uint16_t s1 =
            ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
        const uint16_t s2 =
            ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);

        if (s1 == s2) {
            uint8_t type1, type2;
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            container_t *c = container_and(c1, type1, c2, type2, &result_type);

            if (container_nonzero_cardinality(c, result_type)) {
                ra_append(&answer->high_low_container, s1, c, result_type);
            } else {
                container_free(c, result_type);  // otherwise: memory leak!
            }
            ++pos1;
            ++pos2;
        } else if (s1 < s2) {  // s1 < s2
            pos1 = ra_advance_until(&x1->high_low_container, s2, pos1);
        } else {  // s1 > s2
            pos2 = ra_advance_until(&x2->high_low_container, s1, pos2);
        }
    }
    return answer;
}

/**
 * Compute the union of 'number' bitmaps.
 */
roaring_bitmap_t *roaring_bitmap_or_many(size_t number,
                                         const roaring_bitmap_t **x) {
    if (number == 0) {
        return roaring_bitmap_create();
    }
    if (number == 1) {
        return roaring_bitmap_copy(x[0]);
    }
    roaring_bitmap_t *answer =
        roaring_bitmap_lazy_or(x[0], x[1], LAZY_OR_BITSET_CONVERSION);
    for (size_t i = 2; i < number; i++) {
        roaring_bitmap_lazy_or_inplace(answer, x[i], LAZY_OR_BITSET_CONVERSION);
    }
    roaring_bitmap_repair_after_lazy(answer);
    return answer;
}

/**
 * Compute the xor of 'number' bitmaps.
 */
roaring_bitmap_t *roaring_bitmap_xor_many(size_t number,
                                          const roaring_bitmap_t **x) {
    if (number == 0) {
        return roaring_bitmap_create();
    }
    if (number == 1) {
        return roaring_bitmap_copy(x[0]);
    }
    roaring_bitmap_t *answer = roaring_bitmap_lazy_xor(x[0], x[1]);
    for (size_t i = 2; i < number; i++) {
        roaring_bitmap_lazy_xor_inplace(answer, x[i]);
    }
    roaring_bitmap_repair_after_lazy(answer);
    return answer;
}

// inplace and (modifies its first argument).
void roaring_bitmap_and_inplace(roaring_bitmap_t *x1,
                                const roaring_bitmap_t *x2) {
    if (x1 == x2) return;
    int pos1 = 0, pos2 = 0, intersection_size = 0;
    const int length1 = ra_get_size(&x1->high_low_container);
    const int length2 = ra_get_size(&x2->high_low_container);

    // any skipped-over or newly emptied containers in x1
    // have to be freed.
    while (pos1 < length1 && pos2 < length2) {
        const uint16_t s1 =
            ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
        const uint16_t s2 =
            ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);

        if (s1 == s2) {
            uint8_t type1, type2, result_type;
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);

            // We do the computation "in place" only when c1 is not a shared
            // container. Rationale: using a shared container safely with in
            // place computation would require making a copy and then doing the
            // computation in place which is likely less efficient than avoiding
            // in place entirely and always generating a new container.
            container_t *c =
                (type1 == SHARED_CONTAINER_TYPE)
                    ? container_and(c1, type1, c2, type2, &result_type)
                    : container_iand(c1, type1, c2, type2, &result_type);

            if (c != c1) {  // in this instance a new container was created, and
                            // we need to free the old one
                container_free(c1, type1);
            }
            if (container_nonzero_cardinality(c, result_type)) {
                ra_replace_key_and_container_at_index(&x1->high_low_container,
                                                      intersection_size, s1, c,
                                                      result_type);
                intersection_size++;
            } else {
                container_free(c, result_type);
            }
            ++pos1;
            ++pos2;
        } else if (s1 < s2) {
            pos1 = ra_advance_until_freeing(&x1->high_low_container, s2, pos1);
        } else {  // s1 > s2
            pos2 = ra_advance_until(&x2->high_low_container, s1, pos2);
        }
    }

    // if we ended early because x2 ran out, then all remaining in x1 should be
    // freed
    while (pos1 < length1) {
        container_free(x1->high_low_container.containers[pos1],
                       x1->high_low_container.typecodes[pos1]);
        ++pos1;
    }

    // all containers after this have either been copied or freed
    ra_downsize(&x1->high_low_container, intersection_size);
}

roaring_bitmap_t *roaring_bitmap_or(const roaring_bitmap_t *x1,
                                    const roaring_bitmap_t *x2) {
    uint8_t result_type = 0;
    const int length1 = x1->high_low_container.size,
              length2 = x2->high_low_container.size;
    if (0 == length1) {
        return roaring_bitmap_copy(x2);
    }
    if (0 == length2) {
        return roaring_bitmap_copy(x1);
    }
    roaring_bitmap_t *answer =
        roaring_bitmap_create_with_capacity(length1 + length2);
    roaring_bitmap_set_copy_on_write(answer, is_cow(x1) || is_cow(x2));
    int pos1 = 0, pos2 = 0;
    uint8_t type1, type2;
    uint16_t s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
    uint16_t s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
    while (true) {
        if (s1 == s2) {
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            container_t *c = container_or(c1, type1, c2, type2, &result_type);

            // since we assume that the initial containers are non-empty, the
            // result here
            // can only be non-empty
            ra_append(&answer->high_low_container, s1, c, result_type);
            ++pos1;
            ++pos2;
            if (pos1 == length1) break;
            if (pos2 == length2) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);

        } else if (s1 < s2) {  // s1 < s2
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            // c1 = container_clone(c1, type1);
            c1 = get_copy_of_container(c1, &type1, is_cow(x1));
            if (is_cow(x1)) {
                ra_set_container_at_index(&x1->high_low_container, pos1, c1,
                                          type1);
            }
            ra_append(&answer->high_low_container, s1, c1, type1);
            pos1++;
            if (pos1 == length1) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);

        } else {  // s1 > s2
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            // c2 = container_clone(c2, type2);
            c2 = get_copy_of_container(c2, &type2, is_cow(x2));
            if (is_cow(x2)) {
                ra_set_container_at_index(&x2->high_low_container, pos2, c2,
                                          type2);
            }
            ra_append(&answer->high_low_container, s2, c2, type2);
            pos2++;
            if (pos2 == length2) break;
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
        }
    }
    if (pos1 == length1) {
        ra_append_copy_range(&answer->high_low_container,
                             &x2->high_low_container, pos2, length2,
                             is_cow(x2));
    } else if (pos2 == length2) {
        ra_append_copy_range(&answer->high_low_container,
                             &x1->high_low_container, pos1, length1,
                             is_cow(x1));
    }
    return answer;
}

// inplace or (modifies its first argument).
void roaring_bitmap_or_inplace(roaring_bitmap_t *x1,
                               const roaring_bitmap_t *x2) {
    uint8_t result_type = 0;
    int length1 = x1->high_low_container.size;
    const int length2 = x2->high_low_container.size;

    if (0 == length2) return;

    if (0 == length1) {
        roaring_bitmap_overwrite(x1, x2);
        return;
    }
    int pos1 = 0, pos2 = 0;
    uint8_t type1, type2;
    uint16_t s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
    uint16_t s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
    while (true) {
        if (s1 == s2) {
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            if (!container_is_full(c1, type1)) {
                container_t *c2 = ra_get_container_at_index(
                    &x2->high_low_container, (uint16_t)pos2, &type2);
                container_t *c =
                    (type1 == SHARED_CONTAINER_TYPE)
                        ? container_or(c1, type1, c2, type2, &result_type)
                        : container_ior(c1, type1, c2, type2, &result_type);

                if (c != c1) {  // in this instance a new container was created,
                                // and we need to free the old one
                    container_free(c1, type1);
                }
                ra_set_container_at_index(&x1->high_low_container, pos1, c,
                                          result_type);
            }
            ++pos1;
            ++pos2;
            if (pos1 == length1) break;
            if (pos2 == length2) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);

        } else if (s1 < s2) {  // s1 < s2
            pos1++;
            if (pos1 == length1) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);

        } else {  // s1 > s2
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            c2 = get_copy_of_container(c2, &type2, is_cow(x2));
            if (is_cow(x2)) {
                ra_set_container_at_index(&x2->high_low_container, pos2, c2,
                                          type2);
            }

            // container_t *c2_clone = container_clone(c2, type2);
            ra_insert_new_key_value_at(&x1->high_low_container, pos1, s2, c2,
                                       type2);
            pos1++;
            length1++;
            pos2++;
            if (pos2 == length2) break;
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
        }
    }
    if (pos1 == length1) {
        ra_append_copy_range(&x1->high_low_container, &x2->high_low_container,
                             pos2, length2, is_cow(x2));
    }
}

roaring_bitmap_t *roaring_bitmap_xor(const roaring_bitmap_t *x1,
                                     const roaring_bitmap_t *x2) {
    uint8_t result_type = 0;
    const int length1 = x1->high_low_container.size,
              length2 = x2->high_low_container.size;
    if (0 == length1) {
        return roaring_bitmap_copy(x2);
    }
    if (0 == length2) {
        return roaring_bitmap_copy(x1);
    }
    roaring_bitmap_t *answer =
        roaring_bitmap_create_with_capacity(length1 + length2);
    roaring_bitmap_set_copy_on_write(answer, is_cow(x1) || is_cow(x2));
    int pos1 = 0, pos2 = 0;
    uint8_t type1, type2;
    uint16_t s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
    uint16_t s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
    while (true) {
        if (s1 == s2) {
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            container_t *c = container_xor(c1, type1, c2, type2, &result_type);

            if (container_nonzero_cardinality(c, result_type)) {
                ra_append(&answer->high_low_container, s1, c, result_type);
            } else {
                container_free(c, result_type);
            }
            ++pos1;
            ++pos2;
            if (pos1 == length1) break;
            if (pos2 == length2) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);

        } else if (s1 < s2) {  // s1 < s2
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            c1 = get_copy_of_container(c1, &type1, is_cow(x1));
            if (is_cow(x1)) {
                ra_set_container_at_index(&x1->high_low_container, pos1, c1,
                                          type1);
            }
            ra_append(&answer->high_low_container, s1, c1, type1);
            pos1++;
            if (pos1 == length1) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);

        } else {  // s1 > s2
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            c2 = get_copy_of_container(c2, &type2, is_cow(x2));
            if (is_cow(x2)) {
                ra_set_container_at_index(&x2->high_low_container, pos2, c2,
                                          type2);
            }
            ra_append(&answer->high_low_container, s2, c2, type2);
            pos2++;
            if (pos2 == length2) break;
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
        }
    }
    if (pos1 == length1) {
        ra_append_copy_range(&answer->high_low_container,
                             &x2->high_low_container, pos2, length2,
                             is_cow(x2));
    } else if (pos2 == length2) {
        ra_append_copy_range(&answer->high_low_container,
                             &x1->high_low_container, pos1, length1,
                             is_cow(x1));
    }
    return answer;
}

// inplace xor (modifies its first argument).

void roaring_bitmap_xor_inplace(roaring_bitmap_t *x1,
                                const roaring_bitmap_t *x2) {
    assert(x1 != x2);
    uint8_t result_type = 0;
    int length1 = x1->high_low_container.size;
    const int length2 = x2->high_low_container.size;

    if (0 == length2) return;

    if (0 == length1) {
        roaring_bitmap_overwrite(x1, x2);
        return;
    }

    // XOR can have new containers inserted from x2, but can also
    // lose containers when x1 and x2 are nonempty and identical.

    int pos1 = 0, pos2 = 0;
    uint8_t type1, type2;
    uint16_t s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
    uint16_t s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
    while (true) {
        if (s1 == s2) {
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);

            // We do the computation "in place" only when c1 is not a shared
            // container. Rationale: using a shared container safely with in
            // place computation would require making a copy and then doing the
            // computation in place which is likely less efficient than avoiding
            // in place entirely and always generating a new container.

            container_t *c;
            if (type1 == SHARED_CONTAINER_TYPE) {
                c = container_xor(c1, type1, c2, type2, &result_type);
                shared_container_free(CAST_shared(c1));  // so release
            } else {
                c = container_ixor(c1, type1, c2, type2, &result_type);
            }

            if (container_nonzero_cardinality(c, result_type)) {
                ra_set_container_at_index(&x1->high_low_container, pos1, c,
                                          result_type);
                ++pos1;
            } else {
                container_free(c, result_type);
                ra_remove_at_index(&x1->high_low_container, pos1);
                --length1;
            }

            ++pos2;
            if (pos1 == length1) break;
            if (pos2 == length2) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);

        } else if (s1 < s2) {  // s1 < s2
            pos1++;
            if (pos1 == length1) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);

        } else {  // s1 > s2
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            c2 = get_copy_of_container(c2, &type2, is_cow(x2));
            if (is_cow(x2)) {
                ra_set_container_at_index(&x2->high_low_container, pos2, c2,
                                          type2);
            }

            ra_insert_new_key_value_at(&x1->high_low_container, pos1, s2, c2,
                                       type2);
            pos1++;
            length1++;
            pos2++;
            if (pos2 == length2) break;
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
        }
    }
    if (pos1 == length1) {
        ra_append_copy_range(&x1->high_low_container, &x2->high_low_container,
                             pos2, length2, is_cow(x2));
    }
}

roaring_bitmap_t *roaring_bitmap_andnot(const roaring_bitmap_t *x1,
                                        const roaring_bitmap_t *x2) {
    uint8_t result_type = 0;
    const int length1 = x1->high_low_container.size,
              length2 = x2->high_low_container.size;
    if (0 == length1) {
        roaring_bitmap_t *empty_bitmap = roaring_bitmap_create();
        roaring_bitmap_set_copy_on_write(empty_bitmap,
                                         is_cow(x1) || is_cow(x2));
        return empty_bitmap;
    }
    if (0 == length2) {
        return roaring_bitmap_copy(x1);
    }
    roaring_bitmap_t *answer = roaring_bitmap_create_with_capacity(length1);
    roaring_bitmap_set_copy_on_write(answer, is_cow(x1) || is_cow(x2));

    int pos1 = 0, pos2 = 0;
    uint8_t type1, type2;
    uint16_t s1 = 0;
    uint16_t s2 = 0;
    while (true) {
        s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
        s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);

        if (s1 == s2) {
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            container_t *c =
                container_andnot(c1, type1, c2, type2, &result_type);

            if (container_nonzero_cardinality(c, result_type)) {
                ra_append(&answer->high_low_container, s1, c, result_type);
            } else {
                container_free(c, result_type);
            }
            ++pos1;
            ++pos2;
            if (pos1 == length1) break;
            if (pos2 == length2) break;
        } else if (s1 < s2) {  // s1 < s2
            const int next_pos1 =
                ra_advance_until(&x1->high_low_container, s2, pos1);
            ra_append_copy_range(&answer->high_low_container,
                                 &x1->high_low_container, pos1, next_pos1,
                                 is_cow(x1));
            // TODO : perhaps some of the copy_on_write should be based on
            // answer rather than x1 (more stringent?).  Many similar cases
            pos1 = next_pos1;
            if (pos1 == length1) break;
        } else {  // s1 > s2
            pos2 = ra_advance_until(&x2->high_low_container, s1, pos2);
            if (pos2 == length2) break;
        }
    }
    if (pos2 == length2) {
        ra_append_copy_range(&answer->high_low_container,
                             &x1->high_low_container, pos1, length1,
                             is_cow(x1));
    }
    return answer;
}

// inplace andnot (modifies its first argument).

void roaring_bitmap_andnot_inplace(roaring_bitmap_t *x1,
                                   const roaring_bitmap_t *x2) {
    assert(x1 != x2);

    uint8_t result_type = 0;
    int length1 = x1->high_low_container.size;
    const int length2 = x2->high_low_container.size;
    int intersection_size = 0;

    if (0 == length2) return;

    if (0 == length1) {
        roaring_bitmap_clear(x1);
        return;
    }

    int pos1 = 0, pos2 = 0;
    uint8_t type1, type2;
    uint16_t s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
    uint16_t s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
    while (true) {
        if (s1 == s2) {
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);

            // We do the computation "in place" only when c1 is not a shared
            // container. Rationale: using a shared container safely with in
            // place computation would require making a copy and then doing the
            // computation in place which is likely less efficient than avoiding
            // in place entirely and always generating a new container.

            container_t *c;
            if (type1 == SHARED_CONTAINER_TYPE) {
                c = container_andnot(c1, type1, c2, type2, &result_type);
                shared_container_free(CAST_shared(c1));  // release
            } else {
                c = container_iandnot(c1, type1, c2, type2, &result_type);
            }

            if (container_nonzero_cardinality(c, result_type)) {
                ra_replace_key_and_container_at_index(&x1->high_low_container,
                                                      intersection_size++, s1,
                                                      c, result_type);
            } else {
                container_free(c, result_type);
            }

            ++pos1;
            ++pos2;
            if (pos1 == length1) break;
            if (pos2 == length2) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);

        } else if (s1 < s2) {  // s1 < s2
            if (pos1 != intersection_size) {
                container_t *c1 = ra_get_container_at_index(
                    &x1->high_low_container, (uint16_t)pos1, &type1);

                ra_replace_key_and_container_at_index(
                    &x1->high_low_container, intersection_size, s1, c1, type1);
            }
            intersection_size++;
            pos1++;
            if (pos1 == length1) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);

        } else {  // s1 > s2
            pos2 = ra_advance_until(&x2->high_low_container, s1, pos2);
            if (pos2 == length2) break;
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
        }
    }

    if (pos1 < length1) {
        // all containers between intersection_size and
        // pos1 are junk.  However, they have either been moved
        // (thus still referenced) or involved in an iandnot
        // that will clean up all containers that could not be reused.
        // Thus we should not free the junk containers between
        // intersection_size and pos1.
        if (pos1 > intersection_size) {
            // left slide of remaining items
            ra_copy_range(&x1->high_low_container, pos1, length1,
                          intersection_size);
        }
        // else current placement is fine
        intersection_size += (length1 - pos1);
    }
    ra_downsize(&x1->high_low_container, intersection_size);
}

uint64_t roaring_bitmap_get_cardinality(const roaring_bitmap_t *r) {
    const roaring_array_t *ra = &r->high_low_container;

    uint64_t card = 0;
    for (int i = 0; i < ra->size; ++i)
        card += container_get_cardinality(ra->containers[i], ra->typecodes[i]);
    return card;
}

uint64_t roaring_bitmap_range_cardinality(const roaring_bitmap_t *r,
                                          uint64_t range_start,
                                          uint64_t range_end) {
    if (range_start >= range_end || range_start > (uint64_t)UINT32_MAX + 1) {
        return 0;
    }
    return roaring_bitmap_range_cardinality_closed(r, (uint32_t)range_start,
                                                   (uint32_t)(range_end - 1));
}

uint64_t roaring_bitmap_range_cardinality_closed(const roaring_bitmap_t *r,
                                                 uint32_t range_start,
                                                 uint32_t range_end) {
    const roaring_array_t *ra = &r->high_low_container;

    if (range_start > range_end) {
        return 0;
    }

    // now we have: 0 <= range_start <= range_end <= UINT32_MAX

    uint16_t minhb = (uint16_t)(range_start >> 16);
    uint16_t maxhb = (uint16_t)(range_end >> 16);

    uint64_t card = 0;

    int i = ra_get_index(ra, minhb);
    if (i >= 0) {
        if (minhb == maxhb) {
            card += container_rank(ra->containers[i], ra->typecodes[i],
                                   range_end & 0xffff);
        } else {
            card +=
                container_get_cardinality(ra->containers[i], ra->typecodes[i]);
        }
        if ((range_start & 0xffff) != 0) {
            card -= container_rank(ra->containers[i], ra->typecodes[i],
                                   (range_start & 0xffff) - 1);
        }
        i++;
    } else {
        i = -i - 1;
    }

    for (; i < ra->size; i++) {
        uint16_t key = ra->keys[i];
        if (key < maxhb) {
            card +=
                container_get_cardinality(ra->containers[i], ra->typecodes[i]);
        } else if (key == maxhb) {
            card += container_rank(ra->containers[i], ra->typecodes[i],
                                   range_end & 0xffff);
            break;
        } else {
            break;
        }
    }

    return card;
}

bool roaring_bitmap_is_empty(const roaring_bitmap_t *r) {
    return r->high_low_container.size == 0;
}

void roaring_bitmap_to_uint32_array(const roaring_bitmap_t *r, uint32_t *ans) {
    ra_to_uint32_array(&r->high_low_container, ans);
}

bool roaring_bitmap_range_uint32_array(const roaring_bitmap_t *r, size_t offset,
                                       size_t limit, uint32_t *ans) {
    roaring_uint32_iterator_t it;
    roaring_iterator_init(r, &it);
    roaring_uint32_iterator_skip(&it, offset);
    roaring_uint32_iterator_read(&it, ans, limit);

    // This function always succeeds
    return true;
}

/** convert array and bitmap containers to run containers when it is more
 * efficient;
 * also convert from run containers when more space efficient.  Returns
 * true if the result has at least one run container.
 */
bool roaring_bitmap_run_optimize(roaring_bitmap_t *r) {
    bool answer = false;
    for (int i = 0; i < r->high_low_container.size; i++) {
        uint8_t type_original, type_after;
        ra_unshare_container_at_index(
            &r->high_low_container,
            (uint16_t)i);  // TODO: this introduces extra cloning!
        container_t *c = ra_get_container_at_index(&r->high_low_container,
                                                   (uint16_t)i, &type_original);
        container_t *c1 = convert_run_optimize(c, type_original, &type_after);
        if (type_after == RUN_CONTAINER_TYPE) {
            answer = true;
        }
        ra_set_container_at_index(&r->high_low_container, i, c1, type_after);
    }
    return answer;
}

size_t roaring_bitmap_shrink_to_fit(roaring_bitmap_t *r) {
    size_t answer = 0;
    for (int i = 0; i < r->high_low_container.size; i++) {
        uint8_t type_original;
        container_t *c = ra_get_container_at_index(&r->high_low_container,
                                                   (uint16_t)i, &type_original);
        answer += container_shrink_to_fit(c, type_original);
    }
    answer += ra_shrink_to_fit(&r->high_low_container);
    return answer;
}

/**
 *  Remove run-length encoding even when it is more space efficient
 *  return whether a change was applied
 */
bool roaring_bitmap_remove_run_compression(roaring_bitmap_t *r) {
    bool answer = false;
    for (int i = 0; i < r->high_low_container.size; i++) {
        uint8_t type_original, type_after;
        container_t *c = ra_get_container_at_index(&r->high_low_container,
                                                   (uint16_t)i, &type_original);
        if (get_container_type(c, type_original) == RUN_CONTAINER_TYPE) {
            answer = true;
            if (type_original == SHARED_CONTAINER_TYPE) {
                run_container_t *truec = CAST_run(CAST_shared(c)->container);
                int32_t card = run_container_cardinality(truec);
                container_t *c1 = convert_to_bitset_or_array_container(
                    truec, card, &type_after);
                shared_container_free(CAST_shared(c));  // frees run as needed
                ra_set_container_at_index(&r->high_low_container, i, c1,
                                          type_after);

            } else {
                int32_t card = run_container_cardinality(CAST_run(c));
                container_t *c1 = convert_to_bitset_or_array_container(
                    CAST_run(c), card, &type_after);
                run_container_free(CAST_run(c));
                ra_set_container_at_index(&r->high_low_container, i, c1,
                                          type_after);
            }
        }
    }
    return answer;
}

size_t roaring_bitmap_serialize(const roaring_bitmap_t *r, char *buf) {
    size_t portablesize = roaring_bitmap_portable_size_in_bytes(r);
    uint64_t cardinality = roaring_bitmap_get_cardinality(r);
    uint64_t sizeasarray = cardinality * sizeof(uint32_t) + sizeof(uint32_t);
    if (portablesize < sizeasarray) {
        buf[0] = CROARING_SERIALIZATION_CONTAINER;
        return roaring_bitmap_portable_serialize(r, buf + 1) + 1;
    } else {
        buf[0] = CROARING_SERIALIZATION_ARRAY_UINT32;
        memcpy(buf + 1, &cardinality, sizeof(uint32_t));
        roaring_bitmap_to_uint32_array(
            r, (uint32_t *)(buf + 1 + sizeof(uint32_t)));
        return 1 + (size_t)sizeasarray;
    }
}

size_t roaring_bitmap_size_in_bytes(const roaring_bitmap_t *r) {
    size_t portablesize = roaring_bitmap_portable_size_in_bytes(r);
    uint64_t sizeasarray =
        roaring_bitmap_get_cardinality(r) * sizeof(uint32_t) + sizeof(uint32_t);
    return portablesize < sizeasarray ? portablesize + 1
                                      : (size_t)sizeasarray + 1;
}

size_t roaring_bitmap_portable_size_in_bytes(const roaring_bitmap_t *r) {
    return ra_portable_size_in_bytes(&r->high_low_container);
}

roaring_bitmap_t *roaring_bitmap_portable_deserialize_safe(const char *buf,
                                                           size_t maxbytes) {
    roaring_bitmap_t *ans =
        (roaring_bitmap_t *)roaring_malloc(sizeof(roaring_bitmap_t));
    if (ans == NULL) {
        return NULL;
    }
    size_t bytesread;
    bool is_ok = ra_portable_deserialize(&ans->high_low_container, buf,
                                         maxbytes, &bytesread);
    if (!is_ok) {
        roaring_free(ans);
        return NULL;
    }
    roaring_bitmap_set_copy_on_write(ans, false);
    if (!is_ok) {
        roaring_free(ans);
        return NULL;
    }
    return ans;
}

roaring_bitmap_t *roaring_bitmap_portable_deserialize(const char *buf) {
    return roaring_bitmap_portable_deserialize_safe(buf, SIZE_MAX);
}

size_t roaring_bitmap_portable_deserialize_size(const char *buf,
                                                size_t maxbytes) {
    return ra_portable_deserialize_size(buf, maxbytes);
}

size_t roaring_bitmap_portable_serialize(const roaring_bitmap_t *r, char *buf) {
    return ra_portable_serialize(&r->high_low_container, buf);
}

roaring_bitmap_t *roaring_bitmap_deserialize(const void *buf) {
    const char *bufaschar = (const char *)buf;
    if (bufaschar[0] == CROARING_SERIALIZATION_ARRAY_UINT32) {
        /* This looks like a compressed set of uint32_t elements */
        uint32_t card;

        memcpy(&card, bufaschar + 1, sizeof(uint32_t));

        const uint32_t *elems =
            (const uint32_t *)(bufaschar + 1 + sizeof(uint32_t));

        roaring_bitmap_t *bitmap = roaring_bitmap_create();
        if (bitmap == NULL) {
            return NULL;
        }
        roaring_bulk_context_t context = CROARING_ZERO_INITIALIZER;
        for (uint32_t i = 0; i < card; i++) {
            // elems may not be aligned, read with memcpy
            uint32_t elem;
            memcpy(&elem, elems + i, sizeof(elem));
            roaring_bitmap_add_bulk(bitmap, &context, elem);
        }
        return bitmap;

    } else if (bufaschar[0] == CROARING_SERIALIZATION_CONTAINER) {
        return roaring_bitmap_portable_deserialize(bufaschar + 1);
    } else
        return (NULL);
}

roaring_bitmap_t *roaring_bitmap_deserialize_safe(const void *buf,
                                                  size_t maxbytes) {
    if (maxbytes < 1) {
        return NULL;
    }

    const char *bufaschar = (const char *)buf;
    if (bufaschar[0] == CROARING_SERIALIZATION_ARRAY_UINT32) {
        if (maxbytes < 1 + sizeof(uint32_t)) {
            return NULL;
        }

        /* This looks like a compressed set of uint32_t elements */
        uint32_t card;
        memcpy(&card, bufaschar + 1, sizeof(uint32_t));

        // Check the buffer is big enough to contain card uint32_t elements
        if (maxbytes < 1 + sizeof(uint32_t) + card * sizeof(uint32_t)) {
            return NULL;
        }

        const uint32_t *elems =
            (const uint32_t *)(bufaschar + 1 + sizeof(uint32_t));

        roaring_bitmap_t *bitmap = roaring_bitmap_create();
        if (bitmap == NULL) {
            return NULL;
        }
        roaring_bulk_context_t context = CROARING_ZERO_INITIALIZER;
        for (uint32_t i = 0; i < card; i++) {
            // elems may not be aligned, read with memcpy
            uint32_t elem;
            memcpy((char *)&elem, (char *)(elems + i), sizeof(elem));
            roaring_bitmap_add_bulk(bitmap, &context, elem);
        }
        return bitmap;

    } else if (bufaschar[0] == CROARING_SERIALIZATION_CONTAINER) {
        return roaring_bitmap_portable_deserialize_safe(bufaschar + 1,
                                                        maxbytes - 1);
    } else
        return (NULL);
}

bool roaring_iterate(const roaring_bitmap_t *r, roaring_iterator iterator,
                     void *ptr) {
    const roaring_array_t *ra = &r->high_low_container;

    for (int i = 0; i < ra->size; ++i)
        if (!container_iterate(ra->containers[i], ra->typecodes[i],
                               ((uint32_t)ra->keys[i]) << 16, iterator, ptr)) {
            return false;
        }
    return true;
}

bool roaring_iterate64(const roaring_bitmap_t *r, roaring_iterator64 iterator,
                       uint64_t high_bits, void *ptr) {
    const roaring_array_t *ra = &r->high_low_container;

    for (int i = 0; i < ra->size; ++i)
        if (!container_iterate64(ra->containers[i], ra->typecodes[i],
                                 ((uint32_t)ra->keys[i]) << 16, iterator,
                                 high_bits, ptr)) {
            return false;
        }
    return true;
}

/****
 * begin roaring_uint32_iterator_t
 *****/

/**
 * Partially initializes the iterator. Leaves it in either state:
 * 1. Invalid due to `has_value = false`, or
 * 2. At a container, with the high bits set, `has_value = true`.
 */
CROARING_WARN_UNUSED static bool iter_new_container_partial_init(
    roaring_uint32_iterator_t *newit) {
    newit->current_value = 0;
    if (newit->container_index >= newit->parent->high_low_container.size ||
        newit->container_index < 0) {
        newit->current_value = UINT32_MAX;
        return (newit->has_value = false);
    }
    newit->has_value = true;
    // we precompute container, typecode and highbits so that successive
    // iterators do not have to grab them from odd memory locations
    // and have to worry about the (easily predicted) container_unwrap_shared
    // call.
    newit->container =
        newit->parent->high_low_container.containers[newit->container_index];
    newit->typecode =
        newit->parent->high_low_container.typecodes[newit->container_index];
    newit->highbits =
        ((uint32_t)
             newit->parent->high_low_container.keys[newit->container_index])
        << 16;
    newit->container =
        container_unwrap_shared(newit->container, &(newit->typecode));
    return true;
}

/**
 * Positions the iterator at the first value of the current container that the
 * iterator points at, if available.
 */
CROARING_WARN_UNUSED static bool loadfirstvalue(
    roaring_uint32_iterator_t *newit) {
    if (iter_new_container_partial_init(newit)) {
        uint16_t value = 0;
        newit->container_it =
            container_init_iterator(newit->container, newit->typecode, &value);
        newit->current_value = newit->highbits | value;
    }
    return newit->has_value;
}

/**
 * Positions the iterator at the last value of the current container that the
 * iterator points at, if available.
 */
CROARING_WARN_UNUSED static bool loadlastvalue(
    roaring_uint32_iterator_t *newit) {
    if (iter_new_container_partial_init(newit)) {
        uint16_t value = 0;
        newit->container_it = container_init_iterator_last(
            newit->container, newit->typecode, &value);
        newit->current_value = newit->highbits | value;
    }
    return newit->has_value;
}

/**
 * Positions the iterator at the smallest value that is larger than or equal to
 * `val` within the current container that the iterator points at. Assumes such
 * a value exists within the current container.
 */
CROARING_WARN_UNUSED static bool loadfirstvalue_largeorequal(
    roaring_uint32_iterator_t *newit, uint32_t val) {
    bool partial_init = iter_new_container_partial_init(newit);
    assert(partial_init);
    if (!partial_init) {
        return false;
    }
    uint16_t value = 0;
    newit->container_it =
        container_init_iterator(newit->container, newit->typecode, &value);
    bool found = container_iterator_lower_bound(
        newit->container, newit->typecode, &newit->container_it, &value,
        val & 0xFFFF);
    assert(found);
    if (!found) {
        return false;
    }
    newit->current_value = newit->highbits | value;
    return true;
}

void roaring_iterator_init(const roaring_bitmap_t *r,
                           roaring_uint32_iterator_t *newit) {
    newit->parent = r;
    newit->container_index = 0;
    newit->has_value = loadfirstvalue(newit);
}

void roaring_iterator_init_last(const roaring_bitmap_t *r,
                                roaring_uint32_iterator_t *newit) {
    newit->parent = r;
    newit->container_index = newit->parent->high_low_container.size - 1;
    newit->has_value = loadlastvalue(newit);
}

roaring_uint32_iterator_t *roaring_iterator_create(const roaring_bitmap_t *r) {
    roaring_uint32_iterator_t *newit =
        (roaring_uint32_iterator_t *)roaring_malloc(
            sizeof(roaring_uint32_iterator_t));
    if (newit == NULL) return NULL;
    roaring_iterator_init(r, newit);
    return newit;
}

roaring_uint32_iterator_t *roaring_uint32_iterator_copy(
    const roaring_uint32_iterator_t *it) {
    roaring_uint32_iterator_t *newit =
        (roaring_uint32_iterator_t *)roaring_malloc(
            sizeof(roaring_uint32_iterator_t));
    memcpy(newit, it, sizeof(roaring_uint32_iterator_t));
    return newit;
}

bool roaring_uint32_iterator_move_equalorlarger(roaring_uint32_iterator_t *it,
                                                uint32_t val) {
    uint16_t hb = val >> 16;
    const int i = ra_get_index(&it->parent->high_low_container, hb);
    if (i >= 0) {
        uint32_t lowvalue =
            container_maximum(it->parent->high_low_container.containers[i],
                              it->parent->high_low_container.typecodes[i]);
        uint16_t lb = val & 0xFFFF;
        if (lowvalue < lb) {
            // will have to load first value of next container
            it->container_index = i + 1;
        } else {
            // the value is necessarily within the range of the container
            it->container_index = i;
            it->has_value = loadfirstvalue_largeorequal(it, val);
            return it->has_value;
        }
    } else {
        // there is no matching, so we are going for the next container
        it->container_index = -i - 1;
    }
    it->has_value = loadfirstvalue(it);
    return it->has_value;
}

bool roaring_uint32_iterator_advance(roaring_uint32_iterator_t *it) {
    if (it->container_index >= it->parent->high_low_container.size) {
        return (it->has_value = false);
    }
    if (it->container_index < 0) {
        it->container_index = 0;
        return (it->has_value = loadfirstvalue(it));
    }
    uint16_t low16 = (uint16_t)it->current_value;
    if (container_iterator_next(it->container, it->typecode, &it->container_it,
                                &low16)) {
        it->current_value = it->highbits | low16;
        return (it->has_value = true);
    }
    it->container_index++;
    return (it->has_value = loadfirstvalue(it));
}

bool roaring_uint32_iterator_previous(roaring_uint32_iterator_t *it) {
    if (it->container_index < 0) {
        return (it->has_value = false);
    }
    if (it->container_index >= it->parent->high_low_container.size) {
        it->container_index = it->parent->high_low_container.size - 1;
        return (it->has_value = loadlastvalue(it));
    }
    uint16_t low16 = (uint16_t)it->current_value;
    if (container_iterator_prev(it->container, it->typecode, &it->container_it,
                                &low16)) {
        it->current_value = it->highbits | low16;
        return (it->has_value = true);
    }
    it->container_index--;
    return (it->has_value = loadlastvalue(it));
}

uint32_t roaring_uint32_iterator_read(roaring_uint32_iterator_t *it,
                                      uint32_t *buf, uint32_t count) {
    uint32_t ret = 0;
    while (it->has_value && ret < count) {
        uint32_t consumed;
        uint16_t low16 = (uint16_t)it->current_value;
        bool has_value = container_iterator_read_into_uint32(
            it->container, it->typecode, &it->container_it, it->highbits, buf,
            count - ret, &consumed, &low16);
        ret += consumed;
        buf += consumed;
        if (has_value) {
            it->has_value = true;
            it->current_value = it->highbits | low16;
            // If the container still has values, we must have stopped because
            // we skipped enough values.
            assert(ret == count);
            return ret;
        }
        it->container_index++;
        it->has_value = loadfirstvalue(it);
    }
    return ret;
}

uint32_t roaring_uint32_iterator_skip(roaring_uint32_iterator_t *it,
                                      uint32_t count) {
    uint32_t ret = 0;
    while (it->has_value && ret < count) {
        uint32_t consumed;
        uint16_t low16 = (uint16_t)it->current_value;
        bool has_value = container_iterator_skip(it->container, it->typecode,
                                                 &it->container_it, count - ret,
                                                 &consumed, &low16);
        ret += consumed;
        if (has_value) {
            it->has_value = true;
            it->current_value = it->highbits | low16;
            // If the container still has values, we must have stopped because
            // we skipped enough values.
            assert(ret == count);
            return ret;
        }
        // We have skipped over all items in the current container, so set
        // ourselves at the first item of the next container.
        // We do NOT need to count another item skipped here.
        it->container_index++;
        it->has_value = loadfirstvalue(it);
    }
    return ret;
}

uint32_t roaring_uint32_iterator_skip_backward(roaring_uint32_iterator_t *it,
                                               uint32_t count) {
    uint32_t ret = 0;
    while (it->has_value && ret < count) {
        uint32_t consumed;
        uint16_t low16 = (uint16_t)it->current_value;
        bool has_value = container_iterator_skip_backward(
            it->container, it->typecode, &it->container_it, count - ret,
            &consumed, &low16);
        ret += consumed;
        if (has_value) {
            it->has_value = true;
            it->current_value = it->highbits | low16;
            return ret;
        }
        // We have skipped over all items in the current container backwards.
        // Moving to the previous container counts as consuming one more skip.
        it->container_index--;
        it->has_value = loadlastvalue(it);
    }
    return ret;
}

void roaring_uint32_iterator_free(roaring_uint32_iterator_t *it) {
    roaring_free(it);
}

/****
 * end of roaring_uint32_iterator_t
 *****/

bool roaring_bitmap_equals(const roaring_bitmap_t *r1,
                           const roaring_bitmap_t *r2) {
    const roaring_array_t *ra1 = &r1->high_low_container;
    const roaring_array_t *ra2 = &r2->high_low_container;

    if (ra1->size != ra2->size) {
        return false;
    }
    for (int i = 0; i < ra1->size; ++i) {
        if (ra1->keys[i] != ra2->keys[i]) {
            return false;
        }
    }
    for (int i = 0; i < ra1->size; ++i) {
        bool areequal = container_equals(ra1->containers[i], ra1->typecodes[i],
                                         ra2->containers[i], ra2->typecodes[i]);
        if (!areequal) {
            return false;
        }
    }
    return true;
}

bool roaring_bitmap_is_subset(const roaring_bitmap_t *r1,
                              const roaring_bitmap_t *r2) {
    const roaring_array_t *ra1 = &r1->high_low_container;
    const roaring_array_t *ra2 = &r2->high_low_container;

    const int length1 = ra1->size, length2 = ra2->size;

    int pos1 = 0, pos2 = 0;

    while (pos1 < length1 && pos2 < length2) {
        const uint16_t s1 = ra_get_key_at_index(ra1, (uint16_t)pos1);
        const uint16_t s2 = ra_get_key_at_index(ra2, (uint16_t)pos2);

        if (s1 == s2) {
            uint8_t type1, type2;
            container_t *c1 =
                ra_get_container_at_index(ra1, (uint16_t)pos1, &type1);
            container_t *c2 =
                ra_get_container_at_index(ra2, (uint16_t)pos2, &type2);
            if (!container_is_subset(c1, type1, c2, type2)) return false;
            ++pos1;
            ++pos2;
        } else if (s1 < s2) {  // s1 < s2
            return false;
        } else {  // s1 > s2
            pos2 = ra_advance_until(ra2, s1, pos2);
        }
    }
    if (pos1 == length1)
        return true;
    else
        return false;
}

static void insert_flipped_container(roaring_array_t *ans_arr,
                                     const roaring_array_t *x1_arr, uint16_t hb,
                                     uint16_t lb_start, uint16_t lb_end) {
    const int i = ra_get_index(x1_arr, hb);
    const int j = ra_get_index(ans_arr, hb);
    uint8_t ctype_in, ctype_out;
    container_t *flipped_container = NULL;
    if (i >= 0) {
        container_t *container_to_flip =
            ra_get_container_at_index(x1_arr, (uint16_t)i, &ctype_in);
        flipped_container =
            container_not_range(container_to_flip, ctype_in, (uint32_t)lb_start,
                                (uint32_t)(lb_end + 1), &ctype_out);

        if (container_nonzero_cardinality(flipped_container, ctype_out))
            ra_insert_new_key_value_at(ans_arr, -j - 1, hb, flipped_container,
                                       ctype_out);
        else {
            container_free(flipped_container, ctype_out);
        }
    } else {
        flipped_container = container_range_of_ones(
            (uint32_t)lb_start, (uint32_t)(lb_end + 1), &ctype_out);
        ra_insert_new_key_value_at(ans_arr, -j - 1, hb, flipped_container,
                                   ctype_out);
    }
}

static void inplace_flip_container(roaring_array_t *x1_arr, uint16_t hb,
                                   uint16_t lb_start, uint16_t lb_end) {
    const int i = ra_get_index(x1_arr, hb);
    uint8_t ctype_in, ctype_out;
    container_t *flipped_container = NULL;
    if (i >= 0) {
        container_t *container_to_flip =
            ra_get_container_at_index(x1_arr, (uint16_t)i, &ctype_in);
        flipped_container = container_inot_range(
            container_to_flip, ctype_in, (uint32_t)lb_start,
            (uint32_t)(lb_end + 1), &ctype_out);
        // if a new container was created, the old one was already freed
        if (container_nonzero_cardinality(flipped_container, ctype_out)) {
            ra_set_container_at_index(x1_arr, i, flipped_container, ctype_out);
        } else {
            container_free(flipped_container, ctype_out);
            ra_remove_at_index(x1_arr, i);
        }

    } else {
        flipped_container = container_range_of_ones(
            (uint32_t)lb_start, (uint32_t)(lb_end + 1), &ctype_out);
        ra_insert_new_key_value_at(x1_arr, -i - 1, hb, flipped_container,
                                   ctype_out);
    }
}

static void insert_fully_flipped_container(roaring_array_t *ans_arr,
                                           const roaring_array_t *x1_arr,
                                           uint16_t hb) {
    const int i = ra_get_index(x1_arr, hb);
    const int j = ra_get_index(ans_arr, hb);
    uint8_t ctype_in, ctype_out;
    container_t *flipped_container = NULL;
    if (i >= 0) {
        container_t *container_to_flip =
            ra_get_container_at_index(x1_arr, (uint16_t)i, &ctype_in);
        flipped_container =
            container_not(container_to_flip, ctype_in, &ctype_out);
        if (container_nonzero_cardinality(flipped_container, ctype_out))
            ra_insert_new_key_value_at(ans_arr, -j - 1, hb, flipped_container,
                                       ctype_out);
        else {
            container_free(flipped_container, ctype_out);
        }
    } else {
        flipped_container = container_range_of_ones(0U, 0x10000U, &ctype_out);
        ra_insert_new_key_value_at(ans_arr, -j - 1, hb, flipped_container,
                                   ctype_out);
    }
}

static void inplace_fully_flip_container(roaring_array_t *x1_arr, uint16_t hb) {
    const int i = ra_get_index(x1_arr, hb);
    uint8_t ctype_in, ctype_out;
    container_t *flipped_container = NULL;
    if (i >= 0) {
        container_t *container_to_flip =
            ra_get_container_at_index(x1_arr, (uint16_t)i, &ctype_in);
        flipped_container =
            container_inot(container_to_flip, ctype_in, &ctype_out);

        if (container_nonzero_cardinality(flipped_container, ctype_out)) {
            ra_set_container_at_index(x1_arr, i, flipped_container, ctype_out);
        } else {
            container_free(flipped_container, ctype_out);
            ra_remove_at_index(x1_arr, i);
        }

    } else {
        flipped_container = container_range_of_ones(0U, 0x10000U, &ctype_out);
        ra_insert_new_key_value_at(x1_arr, -i - 1, hb, flipped_container,
                                   ctype_out);
    }
}

roaring_bitmap_t *roaring_bitmap_flip(const roaring_bitmap_t *x1,
                                      uint64_t range_start,
                                      uint64_t range_end) {
    if (range_start >= range_end || range_start > (uint64_t)UINT32_MAX + 1) {
        return roaring_bitmap_copy(x1);
    }
    return roaring_bitmap_flip_closed(x1, (uint32_t)range_start,
                                      (uint32_t)(range_end - 1));
}

roaring_bitmap_t *roaring_bitmap_flip_closed(const roaring_bitmap_t *x1,
                                             uint32_t range_start,
                                             uint32_t range_end) {
    if (range_start > range_end) {
        return roaring_bitmap_copy(x1);
    }

    roaring_bitmap_t *ans = roaring_bitmap_create();
    roaring_bitmap_set_copy_on_write(ans, is_cow(x1));

    uint16_t hb_start = (uint16_t)(range_start >> 16);
    const uint16_t lb_start = (uint16_t)range_start;  // & 0xFFFF;
    uint16_t hb_end = (uint16_t)(range_end >> 16);
    const uint16_t lb_end = (uint16_t)range_end;  // & 0xFFFF;

    ra_append_copies_until(&ans->high_low_container, &x1->high_low_container,
                           hb_start, is_cow(x1));
    if (hb_start == hb_end) {
        insert_flipped_container(&ans->high_low_container,
                                 &x1->high_low_container, hb_start, lb_start,
                                 lb_end);
    } else {
        // start and end containers are distinct
        if (lb_start > 0) {
            // handle first (partial) container
            insert_flipped_container(&ans->high_low_container,
                                     &x1->high_low_container, hb_start,
                                     lb_start, 0xFFFF);
            ++hb_start;  // for the full containers.  Can't wrap.
        }

        if (lb_end != 0xFFFF) --hb_end;  // later we'll handle the partial block

        for (uint32_t hb = hb_start; hb <= hb_end; ++hb) {
            insert_fully_flipped_container(&ans->high_low_container,
                                           &x1->high_low_container,
                                           (uint16_t)hb);
        }

        // handle a partial final container
        if (lb_end != 0xFFFF) {
            insert_flipped_container(&ans->high_low_container,
                                     &x1->high_low_container, hb_end + 1, 0,
                                     lb_end);
            ++hb_end;
        }
    }
    ra_append_copies_after(&ans->high_low_container, &x1->high_low_container,
                           hb_end, is_cow(x1));
    return ans;
}

void roaring_bitmap_flip_inplace(roaring_bitmap_t *x1, uint64_t range_start,
                                 uint64_t range_end) {
    if (range_start >= range_end || range_start > (uint64_t)UINT32_MAX + 1) {
        return;
    }
    roaring_bitmap_flip_inplace_closed(x1, (uint32_t)range_start,
                                       (uint32_t)(range_end - 1));
}

void roaring_bitmap_flip_inplace_closed(roaring_bitmap_t *x1,
                                        uint32_t range_start,
                                        uint32_t range_end) {
    if (range_start > range_end) {
        return;  // empty range
    }

    uint16_t hb_start = (uint16_t)(range_start >> 16);
    const uint16_t lb_start = (uint16_t)range_start;
    uint16_t hb_end = (uint16_t)(range_end >> 16);
    const uint16_t lb_end = (uint16_t)range_end;

    if (hb_start == hb_end) {
        inplace_flip_container(&x1->high_low_container, hb_start, lb_start,
                               lb_end);
    } else {
        // start and end containers are distinct
        if (lb_start > 0) {
            // handle first (partial) container
            inplace_flip_container(&x1->high_low_container, hb_start, lb_start,
                                   0xFFFF);
            ++hb_start;  // for the full containers.  Can't wrap.
        }

        if (lb_end != 0xFFFF) --hb_end;

        for (uint32_t hb = hb_start; hb <= hb_end; ++hb) {
            inplace_fully_flip_container(&x1->high_low_container, (uint16_t)hb);
        }
        // handle a partial final container
        if (lb_end != 0xFFFF) {
            inplace_flip_container(&x1->high_low_container, hb_end + 1, 0,
                                   lb_end);
            ++hb_end;
        }
    }
}

static void offset_append_with_merge(roaring_array_t *ra, int k, container_t *c,
                                     uint8_t t) {
    int size = ra_get_size(ra);
    if (size == 0 || ra_get_key_at_index(ra, (uint16_t)(size - 1)) != k) {
        // No merge.
        ra_append(ra, (uint16_t)k, c, t);
        return;
    }

    uint8_t last_t, new_t;
    container_t *last_c, *new_c;

    // NOTE: we don't need to unwrap here, since we added last_c ourselves
    // we have the certainty it's not a shared container.
    // The same applies to c, as it's the result of calling container_offset.
    last_c = ra_get_container_at_index(ra, (uint16_t)(size - 1), &last_t);
    new_c = container_ior(last_c, last_t, c, t, &new_t);

    ra_set_container_at_index(ra, size - 1, new_c, new_t);

    // Comparison of pointers of different origin is UB (or so claim some
    // compiler makers), so we compare their bit representation only.
    if ((uintptr_t)last_c != (uintptr_t)new_c) {
        container_free(last_c, last_t);
    }
    container_free(c, t);
}

// roaring_bitmap_add_offset adds the value 'offset' to each and every value in
// a bitmap, generating a new bitmap in the process. If offset + element is
// outside of the range [0,2^32), that the element will be dropped.
// We need "offset" to be 64 bits because we want to support values
// between -0xFFFFFFFF up to +0xFFFFFFFF.
roaring_bitmap_t *roaring_bitmap_add_offset(const roaring_bitmap_t *bm,
                                            int64_t offset) {
    roaring_bitmap_t *answer;
    roaring_array_t *ans_ra;
    int64_t container_offset;
    uint16_t in_offset;

    const roaring_array_t *bm_ra = &bm->high_low_container;
    int length = bm_ra->size;

    if (offset == 0) {
        return roaring_bitmap_copy(bm);
    }

    container_offset = offset >> 16;
    in_offset = (uint16_t)(offset - container_offset * (1 << 16));

    answer = roaring_bitmap_create();
    bool cow = is_cow(bm);
    roaring_bitmap_set_copy_on_write(answer, cow);

    ans_ra = &answer->high_low_container;

    if (in_offset == 0) {
        ans_ra = &answer->high_low_container;

        for (int i = 0, j = 0; i < length; ++i) {
            int64_t key = ra_get_key_at_index(bm_ra, (uint16_t)i);
            key += container_offset;

            if (key < 0 || key >= (1 << 16)) {
                continue;
            }
            ra_append_copy(ans_ra, bm_ra, (uint16_t)i, cow);
            ans_ra->keys[j++] = (uint16_t)key;
        }
        return answer;
    }

    uint8_t t;
    const container_t *c;
    container_t *lo, *hi, **lo_ptr, **hi_ptr;
    int64_t k;

    for (int i = 0; i < length; ++i) {
        lo = hi = NULL;
        lo_ptr = hi_ptr = NULL;

        k = ra_get_key_at_index(bm_ra, (uint16_t)i) + container_offset;
        if (k >= 0 && k < (1 << 16)) {
            lo_ptr = &lo;
        }
        if (k + 1 >= 0 && k + 1 < (1 << 16)) {
            hi_ptr = &hi;
        }
        if (lo_ptr == NULL && hi_ptr == NULL) {
            continue;
        }
        c = ra_get_container_at_index(bm_ra, (uint16_t)i, &t);
        c = container_unwrap_shared(c, &t);

        container_add_offset(c, t, lo_ptr, hi_ptr, in_offset);
        if (lo != NULL) {
            offset_append_with_merge(ans_ra, (int)k, lo, t);
        }
        if (hi != NULL) {
            ra_append(ans_ra, (uint16_t)(k + 1), hi, t);
        }
        // the `lo` and `hi` container type always keep same as container `c`.
        // in the case of `container_add_offset` on bitset container, `lo` and
        // `hi` may has small cardinality, they must be repaired to array
        // container.
    }

    roaring_bitmap_repair_after_lazy(answer);  // do required type conversions.
    return answer;
}

roaring_bitmap_t *roaring_bitmap_lazy_or(const roaring_bitmap_t *x1,
                                         const roaring_bitmap_t *x2,
                                         const bool bitsetconversion) {
    uint8_t result_type = 0;
    const int length1 = x1->high_low_container.size,
              length2 = x2->high_low_container.size;
    if (0 == length1) {
        return roaring_bitmap_copy(x2);
    }
    if (0 == length2) {
        return roaring_bitmap_copy(x1);
    }
    roaring_bitmap_t *answer =
        roaring_bitmap_create_with_capacity(length1 + length2);
    roaring_bitmap_set_copy_on_write(answer, is_cow(x1) || is_cow(x2));
    int pos1 = 0, pos2 = 0;
    uint8_t type1, type2;
    uint16_t s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
    uint16_t s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
    while (true) {
        if (s1 == s2) {
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            container_t *c;
            if (bitsetconversion &&
                (get_container_type(c1, type1) != BITSET_CONTAINER_TYPE) &&
                (get_container_type(c2, type2) != BITSET_CONTAINER_TYPE)) {
                container_t *newc1 =
                    container_mutable_unwrap_shared(c1, &type1);
                newc1 = container_to_bitset(newc1, type1);
                type1 = BITSET_CONTAINER_TYPE;
                c = container_lazy_ior(newc1, type1, c2, type2, &result_type);
                if (c != newc1) {  // should not happen
                    container_free(newc1, type1);
                }
            } else {
                c = container_lazy_or(c1, type1, c2, type2, &result_type);
            }
            // since we assume that the initial containers are non-empty,
            // the
            // result here
            // can only be non-empty
            ra_append(&answer->high_low_container, s1, c, result_type);
            ++pos1;
            ++pos2;
            if (pos1 == length1) break;
            if (pos2 == length2) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);

        } else if (s1 < s2) {  // s1 < s2
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            c1 = get_copy_of_container(c1, &type1, is_cow(x1));
            if (is_cow(x1)) {
                ra_set_container_at_index(&x1->high_low_container, pos1, c1,
                                          type1);
            }
            ra_append(&answer->high_low_container, s1, c1, type1);
            pos1++;
            if (pos1 == length1) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);

        } else {  // s1 > s2
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            c2 = get_copy_of_container(c2, &type2, is_cow(x2));
            if (is_cow(x2)) {
                ra_set_container_at_index(&x2->high_low_container, pos2, c2,
                                          type2);
            }
            ra_append(&answer->high_low_container, s2, c2, type2);
            pos2++;
            if (pos2 == length2) break;
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
        }
    }
    if (pos1 == length1) {
        ra_append_copy_range(&answer->high_low_container,
                             &x2->high_low_container, pos2, length2,
                             is_cow(x2));
    } else if (pos2 == length2) {
        ra_append_copy_range(&answer->high_low_container,
                             &x1->high_low_container, pos1, length1,
                             is_cow(x1));
    }
    return answer;
}

void roaring_bitmap_lazy_or_inplace(roaring_bitmap_t *x1,
                                    const roaring_bitmap_t *x2,
                                    const bool bitsetconversion) {
    uint8_t result_type = 0;
    int length1 = x1->high_low_container.size;
    const int length2 = x2->high_low_container.size;

    if (0 == length2) return;

    if (0 == length1) {
        roaring_bitmap_overwrite(x1, x2);
        return;
    }
    int pos1 = 0, pos2 = 0;
    uint8_t type1, type2;
    uint16_t s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
    uint16_t s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
    while (true) {
        if (s1 == s2) {
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            if (!container_is_full(c1, type1)) {
                if ((bitsetconversion == false) ||
                    (get_container_type(c1, type1) == BITSET_CONTAINER_TYPE)) {
                    c1 = get_writable_copy_if_shared(c1, &type1);
                } else {
                    // convert to bitset
                    container_t *old_c1 = c1;
                    uint8_t old_type1 = type1;
                    c1 = container_mutable_unwrap_shared(c1, &type1);
                    c1 = container_to_bitset(c1, type1);
                    container_free(old_c1, old_type1);
                    type1 = BITSET_CONTAINER_TYPE;
                }

                container_t *c2 = ra_get_container_at_index(
                    &x2->high_low_container, (uint16_t)pos2, &type2);
                container_t *c =
                    container_lazy_ior(c1, type1, c2, type2, &result_type);

                if (c != c1) {  // in this instance a new container was created,
                                // and we need to free the old one
                    container_free(c1, type1);
                }

                ra_set_container_at_index(&x1->high_low_container, pos1, c,
                                          result_type);
            }
            ++pos1;
            ++pos2;
            if (pos1 == length1) break;
            if (pos2 == length2) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);

        } else if (s1 < s2) {  // s1 < s2
            pos1++;
            if (pos1 == length1) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);

        } else {  // s1 > s2
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            // container_t *c2_clone = container_clone(c2, type2);
            c2 = get_copy_of_container(c2, &type2, is_cow(x2));
            if (is_cow(x2)) {
                ra_set_container_at_index(&x2->high_low_container, pos2, c2,
                                          type2);
            }
            ra_insert_new_key_value_at(&x1->high_low_container, pos1, s2, c2,
                                       type2);
            pos1++;
            length1++;
            pos2++;
            if (pos2 == length2) break;
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
        }
    }
    if (pos1 == length1) {
        ra_append_copy_range(&x1->high_low_container, &x2->high_low_container,
                             pos2, length2, is_cow(x2));
    }
}

roaring_bitmap_t *roaring_bitmap_lazy_xor(const roaring_bitmap_t *x1,
                                          const roaring_bitmap_t *x2) {
    uint8_t result_type = 0;
    const int length1 = x1->high_low_container.size,
              length2 = x2->high_low_container.size;
    if (0 == length1) {
        return roaring_bitmap_copy(x2);
    }
    if (0 == length2) {
        return roaring_bitmap_copy(x1);
    }
    roaring_bitmap_t *answer =
        roaring_bitmap_create_with_capacity(length1 + length2);
    roaring_bitmap_set_copy_on_write(answer, is_cow(x1) || is_cow(x2));
    int pos1 = 0, pos2 = 0;
    uint8_t type1, type2;
    uint16_t s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
    uint16_t s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
    while (true) {
        if (s1 == s2) {
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            container_t *c =
                container_lazy_xor(c1, type1, c2, type2, &result_type);

            if (container_nonzero_cardinality(c, result_type)) {
                ra_append(&answer->high_low_container, s1, c, result_type);
            } else {
                container_free(c, result_type);
            }

            ++pos1;
            ++pos2;
            if (pos1 == length1) break;
            if (pos2 == length2) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);

        } else if (s1 < s2) {  // s1 < s2
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            c1 = get_copy_of_container(c1, &type1, is_cow(x1));
            if (is_cow(x1)) {
                ra_set_container_at_index(&x1->high_low_container, pos1, c1,
                                          type1);
            }
            ra_append(&answer->high_low_container, s1, c1, type1);
            pos1++;
            if (pos1 == length1) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);

        } else {  // s1 > s2
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            c2 = get_copy_of_container(c2, &type2, is_cow(x2));
            if (is_cow(x2)) {
                ra_set_container_at_index(&x2->high_low_container, pos2, c2,
                                          type2);
            }
            ra_append(&answer->high_low_container, s2, c2, type2);
            pos2++;
            if (pos2 == length2) break;
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
        }
    }
    if (pos1 == length1) {
        ra_append_copy_range(&answer->high_low_container,
                             &x2->high_low_container, pos2, length2,
                             is_cow(x2));
    } else if (pos2 == length2) {
        ra_append_copy_range(&answer->high_low_container,
                             &x1->high_low_container, pos1, length1,
                             is_cow(x1));
    }
    return answer;
}

void roaring_bitmap_lazy_xor_inplace(roaring_bitmap_t *x1,
                                     const roaring_bitmap_t *x2) {
    assert(x1 != x2);
    uint8_t result_type = 0;
    int length1 = x1->high_low_container.size;
    const int length2 = x2->high_low_container.size;

    if (0 == length2) return;

    if (0 == length1) {
        roaring_bitmap_overwrite(x1, x2);
        return;
    }
    int pos1 = 0, pos2 = 0;
    uint8_t type1, type2;
    uint16_t s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
    uint16_t s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
    while (true) {
        if (s1 == s2) {
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);

            // We do the computation "in place" only when c1 is not a shared
            // container. Rationale: using a shared container safely with in
            // place computation would require making a copy and then doing the
            // computation in place which is likely less efficient than avoiding
            // in place entirely and always generating a new container.

            container_t *c;
            if (type1 == SHARED_CONTAINER_TYPE) {
                c = container_lazy_xor(c1, type1, c2, type2, &result_type);
                shared_container_free(CAST_shared(c1));  // release
            } else {
                c = container_lazy_ixor(c1, type1, c2, type2, &result_type);
            }

            if (container_nonzero_cardinality(c, result_type)) {
                ra_set_container_at_index(&x1->high_low_container, pos1, c,
                                          result_type);
                ++pos1;
            } else {
                container_free(c, result_type);
                ra_remove_at_index(&x1->high_low_container, pos1);
                --length1;
            }
            ++pos2;
            if (pos1 == length1) break;
            if (pos2 == length2) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);

        } else if (s1 < s2) {  // s1 < s2
            pos1++;
            if (pos1 == length1) break;
            s1 = ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);

        } else {  // s1 > s2
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            // container_t *c2_clone = container_clone(c2, type2);
            c2 = get_copy_of_container(c2, &type2, is_cow(x2));
            if (is_cow(x2)) {
                ra_set_container_at_index(&x2->high_low_container, pos2, c2,
                                          type2);
            }
            ra_insert_new_key_value_at(&x1->high_low_container, pos1, s2, c2,
                                       type2);
            pos1++;
            length1++;
            pos2++;
            if (pos2 == length2) break;
            s2 = ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);
        }
    }
    if (pos1 == length1) {
        ra_append_copy_range(&x1->high_low_container, &x2->high_low_container,
                             pos2, length2, is_cow(x2));
    }
}

void roaring_bitmap_repair_after_lazy(roaring_bitmap_t *r) {
    roaring_array_t *ra = &r->high_low_container;

    for (int i = 0; i < ra->size; ++i) {
        const uint8_t old_type = ra->typecodes[i];
        container_t *old_c = ra->containers[i];
        uint8_t new_type = old_type;
        container_t *new_c = container_repair_after_lazy(old_c, &new_type);
        ra->containers[i] = new_c;
        ra->typecodes[i] = new_type;
    }
}

/**
 * roaring_bitmap_rank returns the number of integers that are smaller or equal
 * to x.
 */
uint64_t roaring_bitmap_rank(const roaring_bitmap_t *bm, uint32_t x) {
    uint64_t size = 0;
    uint32_t xhigh = x >> 16;
    for (int i = 0; i < bm->high_low_container.size; i++) {
        uint32_t key = bm->high_low_container.keys[i];
        if (xhigh > key) {
            size +=
                container_get_cardinality(bm->high_low_container.containers[i],
                                          bm->high_low_container.typecodes[i]);
        } else if (xhigh == key) {
            return size + container_rank(bm->high_low_container.containers[i],
                                         bm->high_low_container.typecodes[i],
                                         x & 0xFFFF);
        } else {
            return size;
        }
    }
    return size;
}
void roaring_bitmap_rank_many(const roaring_bitmap_t *bm, const uint32_t *begin,
                              const uint32_t *end, uint64_t *ans) {
    uint64_t size = 0;

    int i = 0;
    const uint32_t *iter = begin;
    while (i < bm->high_low_container.size && iter != end) {
        uint32_t x = *iter;
        uint32_t xhigh = x >> 16;
        uint32_t key = bm->high_low_container.keys[i];
        if (xhigh > key) {
            size +=
                container_get_cardinality(bm->high_low_container.containers[i],
                                          bm->high_low_container.typecodes[i]);
            i++;
        } else if (xhigh == key) {
            uint32_t consumed = container_rank_many(
                bm->high_low_container.containers[i],
                bm->high_low_container.typecodes[i], size, iter, end, ans);
            iter += consumed;
            ans += consumed;
        } else {
            *(ans++) = size;
            iter++;
        }
    }
}

/**
 * roaring_bitmap_get_index returns the index of x, if not exsist return -1.
 */
int64_t roaring_bitmap_get_index(const roaring_bitmap_t *bm, uint32_t x) {
    int64_t index = 0;
    const uint16_t xhigh = x >> 16;
    int32_t high_idx = ra_get_index(&bm->high_low_container, xhigh);
    if (high_idx < 0) return -1;

    for (int i = 0; i < bm->high_low_container.size; i++) {
        uint32_t key = bm->high_low_container.keys[i];
        if (xhigh > key) {
            index +=
                container_get_cardinality(bm->high_low_container.containers[i],
                                          bm->high_low_container.typecodes[i]);
        } else if (xhigh == key) {
            int32_t low_idx = container_get_index(
                bm->high_low_container.containers[high_idx],
                bm->high_low_container.typecodes[high_idx], x & 0xFFFF);
            if (low_idx < 0) return -1;
            return index + low_idx;
        } else {
            return -1;
        }
    }
    return index;
}

/**
 * roaring_bitmap_smallest returns the smallest value in the set.
 * Returns UINT32_MAX if the set is empty.
 */
uint32_t roaring_bitmap_minimum(const roaring_bitmap_t *bm) {
    if (bm->high_low_container.size > 0) {
        container_t *c = bm->high_low_container.containers[0];
        uint8_t type = bm->high_low_container.typecodes[0];
        uint32_t key = bm->high_low_container.keys[0];
        uint32_t lowvalue = container_minimum(c, type);
        return lowvalue | (key << 16);
    }
    return UINT32_MAX;
}

/**
 * roaring_bitmap_smallest returns the greatest value in the set.
 * Returns 0 if the set is empty.
 */
uint32_t roaring_bitmap_maximum(const roaring_bitmap_t *bm) {
    if (bm->high_low_container.size > 0) {
        container_t *container =
            bm->high_low_container.containers[bm->high_low_container.size - 1];
        uint8_t typecode =
            bm->high_low_container.typecodes[bm->high_low_container.size - 1];
        uint32_t key =
            bm->high_low_container.keys[bm->high_low_container.size - 1];
        uint32_t lowvalue = container_maximum(container, typecode);
        return lowvalue | (key << 16);
    }
    return 0;
}

bool roaring_bitmap_select(const roaring_bitmap_t *bm, uint32_t rank,
                           uint32_t *element) {
    container_t *container;
    uint8_t typecode;
    uint16_t key;
    uint32_t start_rank = 0;
    int i = 0;
    bool valid = false;
    while (!valid && i < bm->high_low_container.size) {
        container = bm->high_low_container.containers[i];
        typecode = bm->high_low_container.typecodes[i];
        valid =
            container_select(container, typecode, &start_rank, rank, element);
        i++;
    }

    if (valid) {
        key = bm->high_low_container.keys[i - 1];
        *element |= (((uint32_t)key) << 16);  // w/o cast, key promotes signed
        return true;
    } else
        return false;
}

bool roaring_bitmap_intersect(const roaring_bitmap_t *x1,
                              const roaring_bitmap_t *x2) {
    const int length1 = x1->high_low_container.size,
              length2 = x2->high_low_container.size;
    uint64_t answer = 0;
    int pos1 = 0, pos2 = 0;

    while (pos1 < length1 && pos2 < length2) {
        const uint16_t s1 =
            ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
        const uint16_t s2 =
            ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);

        if (s1 == s2) {
            uint8_t type1, type2;
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            if (container_intersect(c1, type1, c2, type2)) return true;
            ++pos1;
            ++pos2;
        } else if (s1 < s2) {  // s1 < s2
            pos1 = ra_advance_until(&x1->high_low_container, s2, pos1);
        } else {  // s1 > s2
            pos2 = ra_advance_until(&x2->high_low_container, s1, pos2);
        }
    }
    return answer != 0;
}

bool roaring_bitmap_intersect_with_range(const roaring_bitmap_t *bm, uint64_t x,
                                         uint64_t y) {
    if (x >= y) {
        // Empty range.
        return false;
    }
    roaring_uint32_iterator_t it;
    roaring_iterator_init(bm, &it);
    if (!roaring_uint32_iterator_move_equalorlarger(&it, (uint32_t)x)) {
        // No values above x.
        return false;
    }
    if (it.current_value >= y) {
        // No values below y.
        return false;
    }
    return true;
}

uint64_t roaring_bitmap_and_cardinality(const roaring_bitmap_t *x1,
                                        const roaring_bitmap_t *x2) {
    const int length1 = x1->high_low_container.size,
              length2 = x2->high_low_container.size;
    uint64_t answer = 0;
    int pos1 = 0, pos2 = 0;
    while (pos1 < length1 && pos2 < length2) {
        const uint16_t s1 =
            ra_get_key_at_index(&x1->high_low_container, (uint16_t)pos1);
        const uint16_t s2 =
            ra_get_key_at_index(&x2->high_low_container, (uint16_t)pos2);

        if (s1 == s2) {
            uint8_t type1, type2;
            container_t *c1 = ra_get_container_at_index(&x1->high_low_container,
                                                        (uint16_t)pos1, &type1);
            container_t *c2 = ra_get_container_at_index(&x2->high_low_container,
                                                        (uint16_t)pos2, &type2);
            answer += container_and_cardinality(c1, type1, c2, type2);
            ++pos1;
            ++pos2;
        } else if (s1 < s2) {  // s1 < s2
            pos1 = ra_advance_until(&x1->high_low_container, s2, pos1);
        } else {  // s1 > s2
            pos2 = ra_advance_until(&x2->high_low_container, s1, pos2);
        }
    }
    return answer;
}

double roaring_bitmap_jaccard_index(const roaring_bitmap_t *x1,
                                    const roaring_bitmap_t *x2) {
    const uint64_t c1 = roaring_bitmap_get_cardinality(x1);
    const uint64_t c2 = roaring_bitmap_get_cardinality(x2);
    const uint64_t inter = roaring_bitmap_and_cardinality(x1, x2);
    return (double)inter / (double)(c1 + c2 - inter);
}

uint64_t roaring_bitmap_or_cardinality(const roaring_bitmap_t *x1,
                                       const roaring_bitmap_t *x2) {
    const uint64_t c1 = roaring_bitmap_get_cardinality(x1);
    const uint64_t c2 = roaring_bitmap_get_cardinality(x2);
    const uint64_t inter = roaring_bitmap_and_cardinality(x1, x2);
    return c1 + c2 - inter;
}

uint64_t roaring_bitmap_andnot_cardinality(const roaring_bitmap_t *x1,
                                           const roaring_bitmap_t *x2) {
    const uint64_t c1 = roaring_bitmap_get_cardinality(x1);
    const uint64_t inter = roaring_bitmap_and_cardinality(x1, x2);
    return c1 - inter;
}

uint64_t roaring_bitmap_xor_cardinality(const roaring_bitmap_t *x1,
                                        const roaring_bitmap_t *x2) {
    const uint64_t c1 = roaring_bitmap_get_cardinality(x1);
    const uint64_t c2 = roaring_bitmap_get_cardinality(x2);
    const uint64_t inter = roaring_bitmap_and_cardinality(x1, x2);
    return c1 + c2 - 2 * inter;
}

/**
 * Check whether a range of values from range_start (included) to range_end
 * (excluded) is present
 */
bool roaring_bitmap_contains_range(const roaring_bitmap_t *r,
                                   uint64_t range_start, uint64_t range_end) {
    if (range_start >= range_end || range_start > (uint64_t)UINT32_MAX + 1) {
        return true;
    }
    return roaring_bitmap_contains_range_closed(r, (uint32_t)range_start,
                                                (uint32_t)(range_end - 1));
}

/**
 * Check whether a range of values from range_start (included) to range_end
 * (included) is present
 */
bool roaring_bitmap_contains_range_closed(const roaring_bitmap_t *r,
                                          uint32_t range_start,
                                          uint32_t range_end) {
    if (range_start > range_end) {
        return true;
    }  // empty range are always contained!
    if (range_end == range_start) {
        return roaring_bitmap_contains(r, (uint32_t)range_start);
    }
    uint16_t hb_rs = (uint16_t)(range_start >> 16);
    uint16_t hb_re = (uint16_t)(range_end >> 16);
    const int32_t span = hb_re - hb_rs;
    const int32_t hlc_sz = ra_get_size(&r->high_low_container);
    if (hlc_sz < span + 1) {
        return false;
    }
    int32_t is = ra_get_index(&r->high_low_container, hb_rs);
    int32_t ie = ra_get_index(&r->high_low_container, hb_re);
    if ((ie < 0) || (is < 0) || ((ie - is) != span) || ie >= hlc_sz) {
        return false;
    }
    const uint32_t lb_rs = range_start & 0xFFFF;
    const uint32_t lb_re = (range_end & 0xFFFF) + 1;
    uint8_t type;
    container_t *c =
        ra_get_container_at_index(&r->high_low_container, (uint16_t)is, &type);
    if (hb_rs == hb_re) {
        return container_contains_range(c, lb_rs, lb_re, type);
    }
    if (!container_contains_range(c, lb_rs, 1 << 16, type)) {
        return false;
    }
    c = ra_get_container_at_index(&r->high_low_container, (uint16_t)ie, &type);
    if (!container_contains_range(c, 0, lb_re, type)) {
        return false;
    }
    for (int32_t i = is + 1; i < ie; ++i) {
        c = ra_get_container_at_index(&r->high_low_container, (uint16_t)i,
                                      &type);
        if (!container_is_full(c, type)) {
            return false;
        }
    }
    return true;
}

bool roaring_bitmap_is_strict_subset(const roaring_bitmap_t *r1,
                                     const roaring_bitmap_t *r2) {
    return (roaring_bitmap_get_cardinality(r2) >
                roaring_bitmap_get_cardinality(r1) &&
            roaring_bitmap_is_subset(r1, r2));
}

/*
 * FROZEN SERIALIZATION FORMAT DESCRIPTION
 *
 * -- (beginning must be aligned by 32 bytes) --
 * <bitset_data> uint64_t[BITSET_CONTAINER_SIZE_IN_WORDS *
 * num_bitset_containers] <run_data>    rle16_t[total number of rle elements in
 * all run containers] <array_data>  uint16_t[total number of array elements in
 * all array containers] <keys>        uint16_t[num_containers] <counts>
 * uint16_t[num_containers] <typecodes>   uint8_t[num_containers] <header>
 * uint32_t
 *
 * <header> is a 4-byte value which is a bit union of FROZEN_COOKIE (15 bits)
 * and the number of containers (17 bits).
 *
 * <counts> stores number of elements for every container.
 * Its meaning depends on container type.
 * For array and bitset containers, this value is the container cardinality
 * minus one. For run container, it is the number of rle_t elements (n_runs).
 *
 * <bitset_data>,<array_data>,<run_data> are flat arrays of elements of
 * all containers of respective type.
 *
 * <*_data> and <keys> are kept close together because they are not accessed
 * during deserilization. This may reduce IO in case of large mmaped bitmaps.
 * All members have their native alignments during deserilization except
 * <header>, which is not guaranteed to be aligned by 4 bytes.
 */

size_t roaring_bitmap_frozen_size_in_bytes(const roaring_bitmap_t *rb) {
    const roaring_array_t *ra = &rb->high_low_container;
    size_t num_bytes = 0;
    for (int32_t i = 0; i < ra->size; i++) {
        switch (ra->typecodes[i]) {
            case BITSET_CONTAINER_TYPE: {
                num_bytes += BITSET_CONTAINER_SIZE_IN_WORDS * sizeof(uint64_t);
                break;
            }
            case RUN_CONTAINER_TYPE: {
                const run_container_t *rc = const_CAST_run(ra->containers[i]);
                num_bytes += rc->n_runs * sizeof(rle16_t);
                break;
            }
            case ARRAY_CONTAINER_TYPE: {
                const array_container_t *ac =
                    const_CAST_array(ra->containers[i]);
                num_bytes += ac->cardinality * sizeof(uint16_t);
                break;
            }
            default:
                roaring_unreachable;
        }
    }
    num_bytes += (2 + 2 + 1) * ra->size;  // keys, counts, typecodes
    num_bytes += 4;                       // header
    return num_bytes;
}

inline static void *arena_alloc(char **arena, size_t num_bytes) {
    char *res = *arena;
    *arena += num_bytes;
    return res;
}

void roaring_bitmap_frozen_serialize(const roaring_bitmap_t *rb, char *buf) {
    /*
     * Note: we do not require user to supply a specifically aligned buffer.
     * Thus we have to use memcpy() everywhere.
     */

    const roaring_array_t *ra = &rb->high_low_container;

    size_t bitset_zone_size = 0;
    size_t run_zone_size = 0;
    size_t array_zone_size = 0;
    for (int32_t i = 0; i < ra->size; i++) {
        switch (ra->typecodes[i]) {
            case BITSET_CONTAINER_TYPE: {
                bitset_zone_size +=
                    BITSET_CONTAINER_SIZE_IN_WORDS * sizeof(uint64_t);
                break;
            }
            case RUN_CONTAINER_TYPE: {
                const run_container_t *rc = const_CAST_run(ra->containers[i]);
                run_zone_size += rc->n_runs * sizeof(rle16_t);
                break;
            }
            case ARRAY_CONTAINER_TYPE: {
                const array_container_t *ac =
                    const_CAST_array(ra->containers[i]);
                array_zone_size += ac->cardinality * sizeof(uint16_t);
                break;
            }
            default:
                roaring_unreachable;
        }
    }

    uint64_t *bitset_zone = (uint64_t *)arena_alloc(&buf, bitset_zone_size);
    rle16_t *run_zone = (rle16_t *)arena_alloc(&buf, run_zone_size);
    uint16_t *array_zone = (uint16_t *)arena_alloc(&buf, array_zone_size);
    uint16_t *key_zone = (uint16_t *)arena_alloc(&buf, 2 * ra->size);
    uint16_t *count_zone = (uint16_t *)arena_alloc(&buf, 2 * ra->size);
    uint8_t *typecode_zone = (uint8_t *)arena_alloc(&buf, ra->size);
    char *header_zone = (char *)arena_alloc(&buf, 4);

    for (int32_t i = 0; i < ra->size; i++) {
        uint16_t count;
        switch (ra->typecodes[i]) {
            case BITSET_CONTAINER_TYPE: {
                const bitset_container_t *bc =
                    const_CAST_bitset(ra->containers[i]);
                memcpy(bitset_zone, bc->words,
                       BITSET_CONTAINER_SIZE_IN_WORDS * sizeof(uint64_t));
                bitset_zone += BITSET_CONTAINER_SIZE_IN_WORDS;
                if (bc->cardinality != BITSET_UNKNOWN_CARDINALITY) {
                    count = (uint16_t)(bc->cardinality - 1);
                } else {
                    count =
                        (uint16_t)(bitset_container_compute_cardinality(bc) -
                                   1);
                }
                break;
            }
            case RUN_CONTAINER_TYPE: {
                const run_container_t *rc = const_CAST_run(ra->containers[i]);
                size_t num_bytes = rc->n_runs * sizeof(rle16_t);
                memcpy(run_zone, rc->runs, num_bytes);
                run_zone += rc->n_runs;
                count = (uint16_t)rc->n_runs;
                break;
            }
            case ARRAY_CONTAINER_TYPE: {
                const array_container_t *ac =
                    const_CAST_array(ra->containers[i]);
                size_t num_bytes = ac->cardinality * sizeof(uint16_t);
                memcpy(array_zone, ac->array, num_bytes);
                array_zone += ac->cardinality;
                count = (uint16_t)(ac->cardinality - 1);
                break;
            }
            default:
                roaring_unreachable;
        }
        memcpy(&count_zone[i], &count, 2);
    }
    memcpy(key_zone, ra->keys, ra->size * sizeof(uint16_t));
    memcpy(typecode_zone, ra->typecodes, ra->size * sizeof(uint8_t));
    uint32_t header = ((uint32_t)ra->size << 15) | FROZEN_COOKIE;
    memcpy(header_zone, &header, 4);
}

const roaring_bitmap_t *roaring_bitmap_frozen_view(const char *buf,
                                                   size_t length) {
    if ((uintptr_t)buf % 32 != 0) {
        return NULL;
    }

    // cookie and num_containers
    if (length < 4) {
        return NULL;
    }
    uint32_t header;
    memcpy(&header, buf + length - 4, 4);  // header may be misaligned
    if ((header & 0x7FFF) != FROZEN_COOKIE) {
        return NULL;
    }
    int32_t num_containers = (header >> 15);

    // typecodes, counts and keys
    if (length < 4 + (size_t)num_containers * (1 + 2 + 2)) {
        return NULL;
    }
    uint16_t *keys = (uint16_t *)(buf + length - 4 - num_containers * 5);
    uint16_t *counts = (uint16_t *)(buf + length - 4 - num_containers * 3);
    uint8_t *typecodes = (uint8_t *)(buf + length - 4 - num_containers * 1);

    // {bitset,array,run}_zone
    int32_t num_bitset_containers = 0;
    int32_t num_run_containers = 0;
    int32_t num_array_containers = 0;
    size_t bitset_zone_size = 0;
    size_t run_zone_size = 0;
    size_t array_zone_size = 0;
    for (int32_t i = 0; i < num_containers; i++) {
        switch (typecodes[i]) {
            case BITSET_CONTAINER_TYPE:
                num_bitset_containers++;
                bitset_zone_size +=
                    BITSET_CONTAINER_SIZE_IN_WORDS * sizeof(uint64_t);
                break;
            case RUN_CONTAINER_TYPE:
                num_run_containers++;
                run_zone_size += counts[i] * sizeof(rle16_t);
                break;
            case ARRAY_CONTAINER_TYPE:
                num_array_containers++;
                array_zone_size += (counts[i] + UINT32_C(1)) * sizeof(uint16_t);
                break;
            default:
                return NULL;
        }
    }
    if (length != bitset_zone_size + run_zone_size + array_zone_size +
                      5 * num_containers + 4) {
        return NULL;
    }
    uint64_t *bitset_zone = (uint64_t *)(buf);
    rle16_t *run_zone = (rle16_t *)(buf + bitset_zone_size);
    uint16_t *array_zone = (uint16_t *)(buf + bitset_zone_size + run_zone_size);

    size_t alloc_size = 0;
    alloc_size += sizeof(roaring_bitmap_t);
    alloc_size += num_containers * sizeof(container_t *);
    alloc_size += num_bitset_containers * sizeof(bitset_container_t);
    alloc_size += num_run_containers * sizeof(run_container_t);
    alloc_size += num_array_containers * sizeof(array_container_t);

    char *arena = (char *)roaring_malloc(alloc_size);
    if (arena == NULL) {
        return NULL;
    }

    roaring_bitmap_t *rb =
        (roaring_bitmap_t *)arena_alloc(&arena, sizeof(roaring_bitmap_t));
    rb->high_low_container.flags = ROARING_FLAG_FROZEN;
    rb->high_low_container.allocation_size = num_containers;
    rb->high_low_container.size = num_containers;
    rb->high_low_container.keys = (uint16_t *)keys;
    rb->high_low_container.typecodes = (uint8_t *)typecodes;
    rb->high_low_container.containers = (container_t **)arena_alloc(
        &arena, sizeof(container_t *) * num_containers);
    // Ensure offset of high_low_container.containers is known distance used in
    // C++ wrapper. sizeof(roaring_bitmap_t) is used as it is the size of the
    // only allocation that precedes high_low_container.containers. If this is
    // changed (new allocation or changed order), this offset will also need to
    // be changed in the C++ wrapper.
    assert(rb ==
           (roaring_bitmap_t *)((char *)rb->high_low_container.containers -
                                sizeof(roaring_bitmap_t)));
    for (int32_t i = 0; i < num_containers; i++) {
        switch (typecodes[i]) {
            case BITSET_CONTAINER_TYPE: {
                bitset_container_t *bitset = (bitset_container_t *)arena_alloc(
                    &arena, sizeof(bitset_container_t));
                bitset->words = bitset_zone;
                bitset->cardinality = counts[i] + UINT32_C(1);
                rb->high_low_container.containers[i] = bitset;
                bitset_zone += BITSET_CONTAINER_SIZE_IN_WORDS;
                break;
            }
            case RUN_CONTAINER_TYPE: {
                run_container_t *run = (run_container_t *)arena_alloc(
                    &arena, sizeof(run_container_t));
                run->capacity = counts[i];
                run->n_runs = counts[i];
                run->runs = run_zone;
                rb->high_low_container.containers[i] = run;
                run_zone += run->n_runs;
                break;
            }
            case ARRAY_CONTAINER_TYPE: {
                array_container_t *array = (array_container_t *)arena_alloc(
                    &arena, sizeof(array_container_t));
                array->capacity = counts[i] + UINT32_C(1);
                array->cardinality = counts[i] + UINT32_C(1);
                array->array = array_zone;
                rb->high_low_container.containers[i] = array;
                array_zone += counts[i] + UINT32_C(1);
                break;
            }
            default:
                roaring_free(arena);
                return NULL;
        }
    }

    return rb;
}

CROARING_ALLOW_UNALIGNED
roaring_bitmap_t *roaring_bitmap_portable_deserialize_frozen(const char *buf) {
    char *start_of_buf = (char *)buf;
    uint32_t cookie;
    int32_t num_containers;
    uint16_t *descriptive_headers;
    uint32_t *offset_headers = NULL;
    const char *run_flag_bitset = NULL;
    bool hasrun = false;

    // deserialize cookie
    memcpy(&cookie, buf, sizeof(uint32_t));
    buf += sizeof(uint32_t);
    if (cookie == SERIAL_COOKIE_NO_RUNCONTAINER) {
        memcpy(&num_containers, buf, sizeof(int32_t));
        buf += sizeof(int32_t);
        descriptive_headers = (uint16_t *)buf;
        buf += num_containers * 2 * sizeof(uint16_t);
        offset_headers = (uint32_t *)buf;
        buf += num_containers * sizeof(uint32_t);
    } else if ((cookie & 0xFFFF) == SERIAL_COOKIE) {
        num_containers = (cookie >> 16) + 1;
        hasrun = true;
        int32_t run_flag_bitset_size = (num_containers + 7) / 8;
        run_flag_bitset = buf;
        buf += run_flag_bitset_size;
        descriptive_headers = (uint16_t *)buf;
        buf += num_containers * 2 * sizeof(uint16_t);
        if (num_containers >= NO_OFFSET_THRESHOLD) {
            offset_headers = (uint32_t *)buf;
            buf += num_containers * sizeof(uint32_t);
        }
    } else {
        return NULL;
    }

    // calculate total size for allocation
    int32_t num_bitset_containers = 0;
    int32_t num_run_containers = 0;
    int32_t num_array_containers = 0;

    for (int32_t i = 0; i < num_containers; i++) {
        uint16_t tmp;
        memcpy(&tmp, descriptive_headers + 2 * i + 1, sizeof(tmp));
        uint32_t cardinality = tmp + 1;
        bool isbitmap = (cardinality > DEFAULT_MAX_SIZE);
        bool isrun = false;
        if (hasrun) {
            if ((run_flag_bitset[i / 8] & (1 << (i % 8))) != 0) {
                isbitmap = false;
                isrun = true;
            }
        }

        if (isbitmap) {
            num_bitset_containers++;
        } else if (isrun) {
            num_run_containers++;
        } else {
            num_array_containers++;
        }
    }

    size_t alloc_size = 0;
    alloc_size += sizeof(roaring_bitmap_t);
    alloc_size += num_containers * sizeof(container_t *);
    alloc_size += num_bitset_containers * sizeof(bitset_container_t);
    alloc_size += num_run_containers * sizeof(run_container_t);
    alloc_size += num_array_containers * sizeof(array_container_t);
    alloc_size += num_containers * sizeof(uint16_t);  // keys
    alloc_size += num_containers * sizeof(uint8_t);   // typecodes

    // allocate bitmap and construct containers
    char *arena = (char *)roaring_malloc(alloc_size);
    if (arena == NULL) {
        return NULL;
    }

    roaring_bitmap_t *rb =
        (roaring_bitmap_t *)arena_alloc(&arena, sizeof(roaring_bitmap_t));
    rb->high_low_container.flags = ROARING_FLAG_FROZEN;
    rb->high_low_container.allocation_size = num_containers;
    rb->high_low_container.size = num_containers;
    rb->high_low_container.containers = (container_t **)arena_alloc(
        &arena, sizeof(container_t *) * num_containers);

    uint16_t *keys =
        (uint16_t *)arena_alloc(&arena, num_containers * sizeof(uint16_t));
    uint8_t *typecodes =
        (uint8_t *)arena_alloc(&arena, num_containers * sizeof(uint8_t));

    rb->high_low_container.keys = keys;
    rb->high_low_container.typecodes = typecodes;

    for (int32_t i = 0; i < num_containers; i++) {
        uint16_t tmp;
        memcpy(&tmp, descriptive_headers + 2 * i + 1, sizeof(tmp));
        int32_t cardinality = tmp + 1;
        bool isbitmap = (cardinality > DEFAULT_MAX_SIZE);
        bool isrun = false;
        if (hasrun) {
            if ((run_flag_bitset[i / 8] & (1 << (i % 8))) != 0) {
                isbitmap = false;
                isrun = true;
            }
        }

        keys[i] = descriptive_headers[2 * i];

        if (isbitmap) {
            typecodes[i] = BITSET_CONTAINER_TYPE;
            bitset_container_t *c = (bitset_container_t *)arena_alloc(
                &arena, sizeof(bitset_container_t));
            c->cardinality = cardinality;
            if (offset_headers != NULL) {
                c->words = (uint64_t *)(start_of_buf + offset_headers[i]);
            } else {
                c->words = (uint64_t *)buf;
                buf += BITSET_CONTAINER_SIZE_IN_WORDS * sizeof(uint64_t);
            }
            rb->high_low_container.containers[i] = c;
        } else if (isrun) {
            typecodes[i] = RUN_CONTAINER_TYPE;
            run_container_t *c =
                (run_container_t *)arena_alloc(&arena, sizeof(run_container_t));
            c->capacity = cardinality;
            uint16_t n_runs;
            if (offset_headers != NULL) {
                memcpy(&n_runs, start_of_buf + offset_headers[i],
                       sizeof(uint16_t));
                c->n_runs = n_runs;
                c->runs = (rle16_t *)(start_of_buf + offset_headers[i] +
                                      sizeof(uint16_t));
            } else {
                memcpy(&n_runs, buf, sizeof(uint16_t));
                c->n_runs = n_runs;
                buf += sizeof(uint16_t);
                c->runs = (rle16_t *)buf;
                buf += c->n_runs * sizeof(rle16_t);
            }
            rb->high_low_container.containers[i] = c;
        } else {
            typecodes[i] = ARRAY_CONTAINER_TYPE;
            array_container_t *c = (array_container_t *)arena_alloc(
                &arena, sizeof(array_container_t));
            c->cardinality = cardinality;
            c->capacity = cardinality;
            if (offset_headers != NULL) {
                c->array = (uint16_t *)(start_of_buf + offset_headers[i]);
            } else {
                c->array = (uint16_t *)buf;
                buf += cardinality * sizeof(uint16_t);
            }
            rb->high_low_container.containers[i] = c;
        }
    }

    return rb;
}

bool roaring_bitmap_to_bitset(const roaring_bitmap_t *r, bitset_t *bitset) {
    uint32_t max_value = roaring_bitmap_maximum(r);
    size_t new_array_size = (size_t)(max_value / 64 + 1);
    bool resize_ok = bitset_resize(bitset, new_array_size, true);
    if (!resize_ok) {
        return false;
    }
    const roaring_array_t *ra = &r->high_low_container;
    for (int i = 0; i < ra->size; ++i) {
        uint64_t *words = bitset->array + (ra->keys[i] << 10);
        uint8_t type = ra->typecodes[i];
        const container_t *c = ra->containers[i];
        if (type == SHARED_CONTAINER_TYPE) {
            c = container_unwrap_shared(c, &type);
        }
        switch (type) {
            case BITSET_CONTAINER_TYPE: {
                size_t max_word_index = new_array_size - (ra->keys[i] << 10);
                if (max_word_index > 1024) {
                    max_word_index = 1024;
                }
                const bitset_container_t *src = const_CAST_bitset(c);
                memcpy(words, src->words, max_word_index * sizeof(uint64_t));
            } break;
            case ARRAY_CONTAINER_TYPE: {
                const array_container_t *src = const_CAST_array(c);
                bitset_set_list(words, src->array, src->cardinality);
            } break;
            case RUN_CONTAINER_TYPE: {
                const run_container_t *src = const_CAST_run(c);
                for (int32_t rlepos = 0; rlepos < src->n_runs; ++rlepos) {
                    rle16_t rle = src->runs[rlepos];
                    bitset_set_lenrange(words, rle.value, rle.length);
                }
            } break;
            default:
                roaring_unreachable;
        }
    }
    return true;
}

#ifdef __cplusplus
}
}
}  // extern "C" { namespace roaring {
#endif
/* end file src/roaring.c */
/* begin file src/roaring64.c */
#include <assert.h>
#include <stdalign.h>
#include <stdarg.h>
#include <stdint.h>
#include <string.h>


// For serialization / deserialization
// containers.h last to avoid conflict with ROARING_CONTAINER_T.

#define CROARING_ALIGN_BUF(buf, alignment)          \
    (char *)(((uintptr_t)(buf) + ((alignment)-1)) & \
             (ptrdiff_t)(~((alignment)-1)))

#define CROARING_BITSET_ALIGNMENT 64

#ifdef __cplusplus
using namespace ::roaring::internal;

extern "C" {
namespace roaring {
namespace api {
#endif

// TODO: Copy on write.
// TODO: Error on failed allocation.

typedef struct roaring64_bitmap_s {
    art_t art;
    uint8_t flags;
    uint64_t first_free;
    uint64_t capacity;
    container_t **containers;
} roaring64_bitmap_t;

// Leaf type of the ART used to keep the high 48 bits of each entry.
// Low 8 bits: typecode
// High 56 bits: container index
typedef roaring64_leaf_t leaf_t;

// Iterator struct to hold iteration state.
typedef struct roaring64_iterator_s {
    const roaring64_bitmap_t *r;
    art_iterator_t art_it;
    roaring_container_iterator_t container_it;
    uint64_t high48;  // Key that art_it points to.

    uint64_t value;
    bool has_value;

    // If has_value is false, then the iterator is saturated. This field
    // indicates the direction of saturation. If true, there are no more values
    // in the forward direction. If false, there are no more values in the
    // backward direction.
    bool saturated_forward;
} roaring64_iterator_t;

static inline bool is_frozen64(const roaring64_bitmap_t *r) {
    return r->flags & ROARING_FLAG_FROZEN;
}

// Splits the given uint64 key into high 48 bit and low 16 bit components.
// Expects high48_out to be of length ART_KEY_BYTES.
static inline uint16_t split_key(uint64_t key, uint8_t high48_out[]) {
    uint64_t tmp = croaring_htobe64(key);
    memcpy(high48_out, (uint8_t *)(&tmp), ART_KEY_BYTES);
    return (uint16_t)key;
}

// Recombines the high 48 bit and low 16 bit components into a uint64 key.
// Expects high48_out to be of length ART_KEY_BYTES.
static inline uint64_t combine_key(const uint8_t high48[], uint16_t low16) {
    uint64_t result = 0;
    memcpy((uint8_t *)(&result), high48, ART_KEY_BYTES);
    return croaring_be64toh(result) | low16;
}

static inline uint64_t minimum(uint64_t a, uint64_t b) {
    return (a < b) ? a : b;
}

static inline leaf_t create_leaf(uint64_t container_index, uint8_t typecode) {
    return (container_index << 8) | typecode;
}

static inline uint8_t get_typecode(leaf_t leaf) { return (uint8_t)leaf; }

static inline uint64_t get_index(leaf_t leaf) { return leaf >> 8; }

static inline container_t *get_container(const roaring64_bitmap_t *r,
                                         leaf_t leaf) {
    return r->containers[get_index(leaf)];
}

// Replaces the container of `leaf` with the given container. Returns the
// modified leaf for convenience.
static inline leaf_t replace_container(roaring64_bitmap_t *r, leaf_t *leaf,
                                       container_t *container,
                                       uint8_t typecode) {
    uint64_t index = get_index(*leaf);
    r->containers[index] = container;
    *leaf = create_leaf(index, typecode);
    return *leaf;
}

/**
 * Extends the array of container pointers.
 */
static void extend_containers(roaring64_bitmap_t *r) {
    uint64_t size = r->first_free;
    if (size < r->capacity) {
        return;
    }
    uint64_t new_capacity;
    if (r->capacity == 0) {
        new_capacity = 2;
    } else if (r->capacity < 1024) {
        new_capacity = 2 * r->capacity;
    } else {
        new_capacity = 5 * r->capacity / 4;
    }
    uint64_t increase = new_capacity - r->capacity;
    r->containers = (container_t **)roaring_realloc(
        r->containers, new_capacity * sizeof(container_t *));
    memset(r->containers + r->capacity, 0, increase * sizeof(container_t *));
    r->capacity = new_capacity;
}

static uint64_t next_free_container_idx(const roaring64_bitmap_t *r) {
    for (uint64_t i = r->first_free + 1; i < r->capacity; ++i) {
        if (r->containers[i] == NULL) {
            return i;
        }
    }
    return r->capacity;
}

static uint64_t allocate_index(roaring64_bitmap_t *r) {
    uint64_t first_free = r->first_free;
    if (first_free == r->capacity) {
        extend_containers(r);
    }
    r->first_free = next_free_container_idx(r);
    return first_free;
}

static leaf_t add_container(roaring64_bitmap_t *r, container_t *container,
                            uint8_t typecode) {
    uint64_t index = allocate_index(r);
    r->containers[index] = container;
    return create_leaf(index, typecode);
}

static void remove_container(roaring64_bitmap_t *r, leaf_t leaf) {
    uint64_t index = get_index(leaf);
    r->containers[index] = NULL;
    if (index < r->first_free) {
        r->first_free = index;
    }
}

// Copies the container referenced by `leaf` from `r1` to `r2`.
static inline leaf_t copy_leaf_container(const roaring64_bitmap_t *r1,
                                         roaring64_bitmap_t *r2, leaf_t leaf) {
    uint8_t typecode = get_typecode(leaf);
    // get_copy_of_container modifies the typecode passed in.
    container_t *container = get_copy_of_container(
        get_container(r1, leaf), &typecode, /*copy_on_write=*/false);
    return add_container(r2, container, typecode);
}

static inline int compare_high48(art_key_chunk_t key1[],
                                 art_key_chunk_t key2[]) {
    return art_compare_keys(key1, key2);
}

static inline bool roaring64_iterator_init_at_leaf_first(
    roaring64_iterator_t *it) {
    it->high48 = combine_key(it->art_it.key, 0);
    leaf_t leaf = (leaf_t)*it->art_it.value;
    uint16_t low16 = 0;
    it->container_it = container_init_iterator(get_container(it->r, leaf),
                                               get_typecode(leaf), &low16);
    it->value = it->high48 | low16;
    return (it->has_value = true);
}

static inline bool roaring64_iterator_init_at_leaf_last(
    roaring64_iterator_t *it) {
    it->high48 = combine_key(it->art_it.key, 0);
    leaf_t leaf = (leaf_t)*it->art_it.value;
    uint16_t low16 = 0;
    it->container_it = container_init_iterator_last(get_container(it->r, leaf),
                                                    get_typecode(leaf), &low16);
    it->value = it->high48 | low16;
    return (it->has_value = true);
}

static inline roaring64_iterator_t *roaring64_iterator_init_at(
    const roaring64_bitmap_t *r, roaring64_iterator_t *it, bool first) {
    it->r = r;
    it->art_it = art_init_iterator((art_t *)&r->art, first);
    it->has_value = it->art_it.value != NULL;
    if (it->has_value) {
        if (first) {
            roaring64_iterator_init_at_leaf_first(it);
        } else {
            roaring64_iterator_init_at_leaf_last(it);
        }
    } else {
        it->saturated_forward = first;
    }
    return it;
}

roaring64_bitmap_t *roaring64_bitmap_create(void) {
    roaring64_bitmap_t *r =
        (roaring64_bitmap_t *)roaring_malloc(sizeof(roaring64_bitmap_t));
    art_init_cleared(&r->art);
    r->flags = 0;
    r->capacity = 0;
    r->first_free = 0;
    r->containers = NULL;
    return r;
}

void roaring64_bitmap_free(roaring64_bitmap_t *r) {
    if (!r) {
        return;
    }
    art_iterator_t it = art_init_iterator(&r->art, /*first=*/true);
    while (it.value != NULL) {
        leaf_t leaf = (leaf_t)*it.value;
        if (is_frozen64(r)) {
            // Only free the container itself, not the buffer-backed contents
            // within.
            roaring_free(get_container(r, leaf));
        } else {
            container_free(get_container(r, leaf), get_typecode(leaf));
        }
        art_iterator_next(&it);
    }
    if (!is_frozen64(r)) {
        art_free(&r->art);
    }
    roaring_free(r->containers);
    roaring_free(r);
}

roaring64_bitmap_t *roaring64_bitmap_copy(const roaring64_bitmap_t *r) {
    roaring64_bitmap_t *result = roaring64_bitmap_create();

    art_iterator_t it = art_init_iterator((art_t *)&r->art, /*first=*/true);
    while (it.value != NULL) {
        leaf_t leaf = (leaf_t)*it.value;
        uint8_t result_typecode = get_typecode(leaf);
        container_t *result_container = get_copy_of_container(
            get_container(r, leaf), &result_typecode, /*copy_on_write=*/false);
        leaf_t result_leaf =
            add_container(result, result_container, result_typecode);
        art_insert(&result->art, it.key, (art_val_t)result_leaf);
        art_iterator_next(&it);
    }
    return result;
}

void roaring64_bitmap_overwrite(roaring64_bitmap_t *dest,
                                const roaring64_bitmap_t *src) {
    if (dest == src) {
        return;
    }

    // Free dest's containers.
    art_iterator_t it = art_init_iterator(&dest->art, /*first=*/true);
    while (it.value != NULL) {
        leaf_t leaf = (leaf_t)*it.value;
        container_free(get_container(dest, leaf), get_typecode(leaf));
        art_iterator_next(&it);
    }
    art_free(&dest->art);

    // Reinitialize dest.
    art_init_cleared(&dest->art);
    dest->flags = 0;
    dest->first_free = 0;
    if (dest->capacity > 0) {
        memset(dest->containers, 0,
               sizeof(dest->containers[0]) * dest->capacity);
    }

    // Copy src's containers into dest.
    it = art_init_iterator((art_t *)&src->art, /*first=*/true);
    while (it.value != NULL) {
        leaf_t leaf = (leaf_t)*it.value;
        uint8_t typecode = get_typecode(leaf);
        container_t *container = get_copy_of_container(
            get_container(src, leaf), &typecode, /*copy_on_write=*/false);
        leaf_t dest_leaf = add_container(dest, container, typecode);
        art_insert(&dest->art, it.key, (art_val_t)dest_leaf);
        art_iterator_next(&it);
    }
}

/**
 * Steal the containers from a 32-bit bitmap and insert them into a 64-bit
 * bitmap (with an offset)
 *
 * After calling this function, the original bitmap will be empty, and the
 * returned bitmap will contain all the values from the original bitmap.
 */
static void move_from_roaring32_offset(roaring64_bitmap_t *dst,
                                       roaring_bitmap_t *src,
                                       uint32_t high_bits) {
    uint64_t key_base = ((uint64_t)high_bits) << 32;
    uint32_t r32_size = ra_get_size(&src->high_low_container);
    for (uint32_t i = 0; i < r32_size; ++i) {
        uint16_t key = ra_get_key_at_index(&src->high_low_container, i);
        uint8_t typecode;
        container_t *container = ra_get_container_at_index(
            &src->high_low_container, (uint16_t)i, &typecode);

        uint8_t high48[ART_KEY_BYTES];
        uint64_t high48_bits = key_base | ((uint64_t)key << 16);
        split_key(high48_bits, high48);
        leaf_t leaf = add_container(dst, container, typecode);
        art_insert(&dst->art, high48, (art_val_t)leaf);
    }
    // We stole all the containers, so leave behind a size of zero
    src->high_low_container.size = 0;
}

roaring64_bitmap_t *roaring64_bitmap_move_from_roaring32(
    roaring_bitmap_t *bitmap32) {
    roaring64_bitmap_t *result = roaring64_bitmap_create();

    move_from_roaring32_offset(result, bitmap32, 0);

    return result;
}

roaring64_bitmap_t *roaring64_bitmap_from_range(uint64_t min, uint64_t max,
                                                uint64_t step) {
    if (step == 0 || max <= min) {
        return NULL;
    }
    roaring64_bitmap_t *r = roaring64_bitmap_create();
    if (step >= (1 << 16)) {
        // Only one value per container.
        for (uint64_t value = min; value < max; value += step) {
            roaring64_bitmap_add(r, value);
            if (value > UINT64_MAX - step) {
                break;
            }
        }
        return r;
    }
    do {
        uint64_t high_bits = min & 0xFFFFFFFFFFFF0000;
        uint16_t container_min = min & 0xFFFF;
        uint32_t container_max = (uint32_t)minimum(max - high_bits, 1 << 16);

        uint8_t typecode;
        container_t *container = container_from_range(
            &typecode, container_min, container_max, (uint16_t)step);

        uint8_t high48[ART_KEY_BYTES];
        split_key(min, high48);
        leaf_t leaf = add_container(r, container, typecode);
        art_insert(&r->art, high48, (art_val_t)leaf);

        uint64_t gap = container_max - container_min + step - 1;
        uint64_t increment = gap - (gap % step);
        if (min > UINT64_MAX - increment) {
            break;
        }
        min += increment;
    } while (min < max);
    return r;
}

roaring64_bitmap_t *roaring64_bitmap_of_ptr(size_t n_args,
                                            const uint64_t *vals) {
    roaring64_bitmap_t *r = roaring64_bitmap_create();
    roaring64_bitmap_add_many(r, n_args, vals);
    return r;
}

static inline leaf_t *containerptr_roaring64_bitmap_add(roaring64_bitmap_t *r,
                                                        uint8_t *high48,
                                                        uint16_t low16,
                                                        leaf_t *leaf) {
    if (leaf != NULL) {
        uint8_t typecode = get_typecode(*leaf);
        container_t *container = get_container(r, *leaf);
        uint8_t typecode2;
        container_t *container2 =
            container_add(container, low16, typecode, &typecode2);
        if (container2 != container) {
            container_free(container, typecode);
            replace_container(r, leaf, container2, typecode2);
        }
        return leaf;
    } else {
        array_container_t *ac = array_container_create();
        uint8_t typecode;
        container_t *container =
            container_add(ac, low16, ARRAY_CONTAINER_TYPE, &typecode);
        assert(ac == container);
        leaf_t new_leaf = add_container(r, container, typecode);
        return (leaf_t *)art_insert(&r->art, high48, (art_val_t)new_leaf);
    }
}

void roaring64_bitmap_add(roaring64_bitmap_t *r, uint64_t val) {
    uint8_t high48[ART_KEY_BYTES];
    uint16_t low16 = split_key(val, high48);
    leaf_t *leaf = (leaf_t *)art_find(&r->art, high48);
    containerptr_roaring64_bitmap_add(r, high48, low16, leaf);
}

bool roaring64_bitmap_add_checked(roaring64_bitmap_t *r, uint64_t val) {
    uint8_t high48[ART_KEY_BYTES];
    uint16_t low16 = split_key(val, high48);
    leaf_t *leaf = (leaf_t *)art_find(&r->art, high48);

    int old_cardinality = 0;
    if (leaf != NULL) {
        old_cardinality = container_get_cardinality(get_container(r, *leaf),
                                                    get_typecode(*leaf));
    }
    leaf = containerptr_roaring64_bitmap_add(r, high48, low16, leaf);
    int new_cardinality =
        container_get_cardinality(get_container(r, *leaf), get_typecode(*leaf));
    return old_cardinality != new_cardinality;
}

void roaring64_bitmap_add_bulk(roaring64_bitmap_t *r,
                               roaring64_bulk_context_t *context,
                               uint64_t val) {
    uint8_t high48[ART_KEY_BYTES];
    uint16_t low16 = split_key(val, high48);
    leaf_t *leaf = context->leaf;
    if (leaf != NULL && compare_high48(context->high_bytes, high48) == 0) {
        // We're at a container with the correct high bits.
        uint8_t typecode1 = get_typecode(*leaf);
        container_t *container1 = get_container(r, *leaf);
        uint8_t typecode2;
        container_t *container2 =
            container_add(container1, low16, typecode1, &typecode2);
        if (container2 != container1) {
            container_free(container1, typecode1);
            replace_container(r, leaf, container2, typecode2);
        }
    } else {
        // We're not positioned anywhere yet or the high bits of the key
        // differ.
        leaf = (leaf_t *)art_find(&r->art, high48);
        context->leaf =
            containerptr_roaring64_bitmap_add(r, high48, low16, leaf);
        memcpy(context->high_bytes, high48, ART_KEY_BYTES);
    }
}

void roaring64_bitmap_add_many(roaring64_bitmap_t *r, size_t n_args,
                               const uint64_t *vals) {
    if (n_args == 0) {
        return;
    }
    const uint64_t *end = vals + n_args;
    roaring64_bulk_context_t context = CROARING_ZERO_INITIALIZER;
    for (const uint64_t *current_val = vals; current_val != end;
         current_val++) {
        roaring64_bitmap_add_bulk(r, &context, *current_val);
    }
}

static inline void add_range_closed_at(roaring64_bitmap_t *r, art_t *art,
                                       uint8_t *high48, uint16_t min,
                                       uint16_t max) {
    leaf_t *leaf = (leaf_t *)art_find(art, high48);
    if (leaf != NULL) {
        uint8_t typecode1 = get_typecode(*leaf);
        container_t *container1 = get_container(r, *leaf);
        uint8_t typecode2;
        container_t *container2 =
            container_add_range(container1, typecode1, min, max, &typecode2);
        if (container2 != container1) {
            container_free(container1, typecode1);
            replace_container(r, leaf, container2, typecode2);
        }
        return;
    }
    uint8_t typecode;
    // container_add_range is inclusive, but `container_range_of_ones` is
    // exclusive.
    container_t *container = container_range_of_ones(min, max + 1, &typecode);
    leaf_t new_leaf = add_container(r, container, typecode);
    art_insert(art, high48, (art_val_t)new_leaf);
}

void roaring64_bitmap_add_range(roaring64_bitmap_t *r, uint64_t min,
                                uint64_t max) {
    if (min >= max) {
        return;
    }
    roaring64_bitmap_add_range_closed(r, min, max - 1);
}

void roaring64_bitmap_add_range_closed(roaring64_bitmap_t *r, uint64_t min,
                                       uint64_t max) {
    if (min > max) {
        return;
    }

    art_t *art = &r->art;
    uint8_t min_high48[ART_KEY_BYTES];
    uint16_t min_low16 = split_key(min, min_high48);
    uint8_t max_high48[ART_KEY_BYTES];
    uint16_t max_low16 = split_key(max, max_high48);
    if (compare_high48(min_high48, max_high48) == 0) {
        // Only populate range within one container.
        add_range_closed_at(r, art, min_high48, min_low16, max_low16);
        return;
    }

    // Populate a range across containers. Fill intermediate containers
    // entirely.
    add_range_closed_at(r, art, min_high48, min_low16, 0xffff);
    uint64_t min_high_bits = min >> 16;
    uint64_t max_high_bits = max >> 16;
    for (uint64_t current = min_high_bits + 1; current < max_high_bits;
         ++current) {
        uint8_t current_high48[ART_KEY_BYTES];
        split_key(current << 16, current_high48);
        add_range_closed_at(r, art, current_high48, 0, 0xffff);
    }
    add_range_closed_at(r, art, max_high48, 0, max_low16);
}

bool roaring64_bitmap_contains(const roaring64_bitmap_t *r, uint64_t val) {
    uint8_t high48[ART_KEY_BYTES];
    uint16_t low16 = split_key(val, high48);
    leaf_t *leaf = (leaf_t *)art_find(&r->art, high48);
    if (leaf != NULL) {
        return container_contains(get_container(r, *leaf), low16,
                                  get_typecode(*leaf));
    }
    return false;
}

bool roaring64_bitmap_contains_range(const roaring64_bitmap_t *r, uint64_t min,
                                     uint64_t max) {
    if (min >= max) {
        return true;
    }

    uint8_t min_high48[ART_KEY_BYTES];
    uint16_t min_low16 = split_key(min, min_high48);
    uint8_t max_high48[ART_KEY_BYTES];
    uint16_t max_low16 = split_key(max, max_high48);
    uint64_t max_high48_bits = (max - 1) & 0xFFFFFFFFFFFF0000;  // Inclusive

    art_iterator_t it = art_lower_bound((art_t *)&r->art, min_high48);
    if (it.value == NULL || combine_key(it.key, 0) > min) {
        return false;
    }
    uint64_t prev_high48_bits = min & 0xFFFFFFFFFFFF0000;
    while (it.value != NULL) {
        uint64_t current_high48_bits = combine_key(it.key, 0);
        if (current_high48_bits > max_high48_bits) {
            // We've passed the end of the range with all containers containing
            // the range.
            return true;
        }
        if (current_high48_bits - prev_high48_bits > 0x10000) {
            // There is a gap in the iterator that falls in the range.
            return false;
        }

        leaf_t leaf = (leaf_t)*it.value;
        uint32_t container_min = 0;
        if (compare_high48(it.key, min_high48) == 0) {
            container_min = min_low16;
        }
        uint32_t container_max = 0xFFFF + 1;  // Exclusive
        if (compare_high48(it.key, max_high48) == 0) {
            container_max = max_low16;
        }

        // For the first and last containers we use container_contains_range,
        // for the intermediate containers we can use container_is_full.
        if (container_min == 0 && container_max == 0xFFFF + 1) {
            if (!container_is_full(get_container(r, leaf),
                                   get_typecode(leaf))) {
                return false;
            }
        } else if (!container_contains_range(get_container(r, leaf),
                                             container_min, container_max,
                                             get_typecode(leaf))) {
            return false;
        }
        prev_high48_bits = current_high48_bits;
        art_iterator_next(&it);
    }
    return prev_high48_bits == max_high48_bits;
}

bool roaring64_bitmap_contains_bulk(const roaring64_bitmap_t *r,
                                    roaring64_bulk_context_t *context,
                                    uint64_t val) {
    uint8_t high48[ART_KEY_BYTES];
    uint16_t low16 = split_key(val, high48);

    if (context->leaf == NULL ||
        art_compare_keys(context->high_bytes, high48) != 0) {
        // We're not positioned anywhere yet or the high bits of the key
        // differ.
        leaf_t *leaf = (leaf_t *)art_find(&r->art, high48);
        if (leaf == NULL) {
            return false;
        }
        context->leaf = leaf;
        memcpy(context->high_bytes, high48, ART_KEY_BYTES);
    }
    return container_contains(get_container(r, *context->leaf), low16,
                              get_typecode(*context->leaf));
}

bool roaring64_bitmap_select(const roaring64_bitmap_t *r, uint64_t rank,
                             uint64_t *element) {
    art_iterator_t it = art_init_iterator((art_t *)&r->art, /*first=*/true);
    uint64_t start_rank = 0;
    while (it.value != NULL) {
        leaf_t leaf = (leaf_t)*it.value;
        uint64_t cardinality = container_get_cardinality(get_container(r, leaf),
                                                         get_typecode(leaf));
        if (start_rank + cardinality > rank) {
            uint32_t uint32_start = 0;
            uint32_t uint32_rank = rank - start_rank;
            uint32_t uint32_element = 0;
            if (container_select(get_container(r, leaf), get_typecode(leaf),
                                 &uint32_start, uint32_rank, &uint32_element)) {
                *element = combine_key(it.key, (uint16_t)uint32_element);
                return true;
            }
            return false;
        }
        start_rank += cardinality;
        art_iterator_next(&it);
    }
    return false;
}

uint64_t roaring64_bitmap_rank(const roaring64_bitmap_t *r, uint64_t val) {
    uint8_t high48[ART_KEY_BYTES];
    uint16_t low16 = split_key(val, high48);

    art_iterator_t it = art_init_iterator((art_t *)&r->art, /*first=*/true);
    uint64_t rank = 0;
    while (it.value != NULL) {
        leaf_t leaf = (leaf_t)*it.value;
        int compare_result = compare_high48(it.key, high48);
        if (compare_result < 0) {
            rank += container_get_cardinality(get_container(r, leaf),
                                              get_typecode(leaf));
        } else if (compare_result == 0) {
            return rank + container_rank(get_container(r, leaf),
                                         get_typecode(leaf), low16);
        } else {
            return rank;
        }
        art_iterator_next(&it);
    }
    return rank;
}

bool roaring64_bitmap_get_index(const roaring64_bitmap_t *r, uint64_t val,
                                uint64_t *out_index) {
    uint8_t high48[ART_KEY_BYTES];
    uint16_t low16 = split_key(val, high48);

    art_iterator_t it = art_init_iterator((art_t *)&r->art, /*first=*/true);
    uint64_t index = 0;
    while (it.value != NULL) {
        leaf_t leaf = (leaf_t)*it.value;
        int compare_result = compare_high48(it.key, high48);
        if (compare_result < 0) {
            index += container_get_cardinality(get_container(r, leaf),
                                               get_typecode(leaf));
        } else if (compare_result == 0) {
            int index16 = container_get_index(get_container(r, leaf),
                                              get_typecode(leaf), low16);
            if (index16 < 0) {
                return false;
            }
            *out_index = index + index16;
            return true;
        } else {
            return false;
        }
        art_iterator_next(&it);
    }
    return false;
}

// Returns true if a container was removed.
static inline bool containerptr_roaring64_bitmap_remove(roaring64_bitmap_t *r,
                                                        uint8_t *high48,
                                                        uint16_t low16,
                                                        leaf_t *leaf) {
    if (leaf == NULL) {
        return false;
    }

    uint8_t typecode = get_typecode(*leaf);
    container_t *container = get_container(r, *leaf);
    uint8_t typecode2;
    container_t *container2 =
        container_remove(container, low16, typecode, &typecode2);
    if (container2 != container) {
        container_free(container, typecode);
        replace_container(r, leaf, container2, typecode2);
    }
    if (!container_nonzero_cardinality(container2, typecode2)) {
        container_free(container2, typecode2);
        bool erased = art_erase(&r->art, high48, (art_val_t *)leaf);
        assert(erased);
        (void)erased;
        remove_container(r, *leaf);
        return true;
    }
    return false;
}

void roaring64_bitmap_remove(roaring64_bitmap_t *r, uint64_t val) {
    art_t *art = &r->art;
    uint8_t high48[ART_KEY_BYTES];
    uint16_t low16 = split_key(val, high48);

    leaf_t *leaf = (leaf_t *)art_find(art, high48);
    containerptr_roaring64_bitmap_remove(r, high48, low16, leaf);
}

bool roaring64_bitmap_remove_checked(roaring64_bitmap_t *r, uint64_t val) {
    art_t *art = &r->art;
    uint8_t high48[ART_KEY_BYTES];
    uint16_t low16 = split_key(val, high48);
    leaf_t *leaf = (leaf_t *)art_find(art, high48);

    if (leaf == NULL) {
        return false;
    }
    int old_cardinality =
        container_get_cardinality(get_container(r, *leaf), get_typecode(*leaf));
    if (containerptr_roaring64_bitmap_remove(r, high48, low16, leaf)) {
        return true;
    }
    int new_cardinality =
        container_get_cardinality(get_container(r, *leaf), get_typecode(*leaf));
    return new_cardinality != old_cardinality;
}

void roaring64_bitmap_remove_bulk(roaring64_bitmap_t *r,
                                  roaring64_bulk_context_t *context,
                                  uint64_t val) {
    art_t *art = &r->art;
    uint8_t high48[ART_KEY_BYTES];
    uint16_t low16 = split_key(val, high48);
    if (context->leaf != NULL &&
        compare_high48(context->high_bytes, high48) == 0) {
        // We're at a container with the correct high bits.
        uint8_t typecode = get_typecode(*context->leaf);
        container_t *container = get_container(r, *context->leaf);
        uint8_t typecode2;
        container_t *container2 =
            container_remove(container, low16, typecode, &typecode2);
        if (container2 != container) {
            container_free(container, typecode);
            replace_container(r, context->leaf, container2, typecode2);
        }
        if (!container_nonzero_cardinality(container2, typecode2)) {
            container_free(container2, typecode2);
            leaf_t leaf;
            bool erased = art_erase(art, high48, (art_val_t *)&leaf);
            assert(erased);
            (void)erased;
            remove_container(r, leaf);
            context->leaf = NULL;
        }
    } else {
        // We're not positioned anywhere yet or the high bits of the key
        // differ.
        leaf_t *leaf = (leaf_t *)art_find(art, high48);
        containerptr_roaring64_bitmap_remove(r, high48, low16, leaf);
        context->leaf = leaf;
        memcpy(context->high_bytes, high48, ART_KEY_BYTES);
    }
}

void roaring64_bitmap_remove_many(roaring64_bitmap_t *r, size_t n_args,
                                  const uint64_t *vals) {
    if (n_args == 0) {
        return;
    }
    const uint64_t *end = vals + n_args;
    roaring64_bulk_context_t context = CROARING_ZERO_INITIALIZER;
    for (const uint64_t *current_val = vals; current_val != end;
         current_val++) {
        roaring64_bitmap_remove_bulk(r, &context, *current_val);
    }
}

static inline void remove_range_closed_at(roaring64_bitmap_t *r, art_t *art,
                                          uint8_t *high48, uint16_t min,
                                          uint16_t max) {
    leaf_t *leaf = (leaf_t *)art_find(art, high48);
    if (leaf == NULL) {
        return;
    }
    uint8_t typecode = get_typecode(*leaf);
    container_t *container = get_container(r, *leaf);
    uint8_t typecode2;
    container_t *container2 =
        container_remove_range(container, typecode, min, max, &typecode2);
    if (container2 != container) {
        container_free(container, typecode);
        if (container2 != NULL) {
            replace_container(r, leaf, container2, typecode2);
        } else {
            bool erased = art_erase(art, high48, NULL);
            assert(erased);
            (void)erased;
            remove_container(r, *leaf);
        }
    }
}

void roaring64_bitmap_remove_range(roaring64_bitmap_t *r, uint64_t min,
                                   uint64_t max) {
    if (min >= max) {
        return;
    }
    roaring64_bitmap_remove_range_closed(r, min, max - 1);
}

void roaring64_bitmap_remove_range_closed(roaring64_bitmap_t *r, uint64_t min,
                                          uint64_t max) {
    if (min > max) {
        return;
    }

    art_t *art = &r->art;
    uint8_t min_high48[ART_KEY_BYTES];
    uint16_t min_low16 = split_key(min, min_high48);
    uint8_t max_high48[ART_KEY_BYTES];
    uint16_t max_low16 = split_key(max, max_high48);
    if (compare_high48(min_high48, max_high48) == 0) {
        // Only remove a range within one container.
        remove_range_closed_at(r, art, min_high48, min_low16, max_low16);
        return;
    }

    // Remove a range across containers. Remove intermediate containers
    // entirely.
    remove_range_closed_at(r, art, min_high48, min_low16, 0xffff);

    art_iterator_t it = art_upper_bound(art, min_high48);
    while (it.value != NULL && art_compare_keys(it.key, max_high48) < 0) {
        leaf_t leaf;
        bool erased = art_iterator_erase(&it, (art_val_t *)&leaf);
        assert(erased);
        (void)erased;
        container_free(get_container(r, leaf), get_typecode(leaf));
        remove_container(r, leaf);
    }
    remove_range_closed_at(r, art, max_high48, 0, max_low16);
}

void roaring64_bitmap_clear(roaring64_bitmap_t *r) {
    roaring64_bitmap_remove_range_closed(r, 0, UINT64_MAX);
}

uint64_t roaring64_bitmap_get_cardinality(const roaring64_bitmap_t *r) {
    art_iterator_t it = art_init_iterator((art_t *)&r->art, /*first=*/true);
    uint64_t cardinality = 0;
    while (it.value != NULL) {
        leaf_t leaf = (leaf_t)*it.value;
        cardinality += container_get_cardinality(get_container(r, leaf),
                                                 get_typecode(leaf));
        art_iterator_next(&it);
    }
    return cardinality;
}

uint64_t roaring64_bitmap_range_cardinality(const roaring64_bitmap_t *r,
                                            uint64_t min, uint64_t max) {
    if (min >= max) {
        return 0;
    }
    // Convert to a closed range
    // No underflow here: passing the above condition implies min < max, so
    // there is a number less than max
    return roaring64_bitmap_range_closed_cardinality(r, min, max - 1);
}

uint64_t roaring64_bitmap_range_closed_cardinality(const roaring64_bitmap_t *r,
                                                   uint64_t min, uint64_t max) {
    if (min > max) {
        return 0;
    }

    uint64_t cardinality = 0;
    uint8_t min_high48[ART_KEY_BYTES];
    uint16_t min_low16 = split_key(min, min_high48);
    uint8_t max_high48[ART_KEY_BYTES];
    uint16_t max_low16 = split_key(max, max_high48);

    art_iterator_t it = art_lower_bound((art_t *)&r->art, min_high48);
    while (it.value != NULL) {
        int max_compare_result = compare_high48(it.key, max_high48);
        if (max_compare_result > 0) {
            // We're outside the range.
            break;
        }

        leaf_t leaf = (leaf_t)*it.value;
        uint8_t typecode = get_typecode(leaf);
        container_t *container = get_container(r, leaf);
        if (max_compare_result == 0) {
            // We're at the max high key, add only the range up to the low
            // 16 bits of max.
            cardinality += container_rank(container, typecode, max_low16);
        } else {
            // We're not yet at the max high key, add the full container
            // range.
            cardinality += container_get_cardinality(container, typecode);
        }
        if (compare_high48(it.key, min_high48) == 0 && min_low16 > 0) {
            // We're at the min high key, remove the range up to the low 16
            // bits of min.
            cardinality -= container_rank(container, typecode, min_low16 - 1);
        }
        art_iterator_next(&it);
    }
    return cardinality;
}

bool roaring64_bitmap_is_empty(const roaring64_bitmap_t *r) {
    return art_is_empty(&r->art);
}

uint64_t roaring64_bitmap_minimum(const roaring64_bitmap_t *r) {
    art_iterator_t it = art_init_iterator((art_t *)&r->art, /*first=*/true);
    if (it.value == NULL) {
        return UINT64_MAX;
    }
    leaf_t leaf = (leaf_t)*it.value;
    return combine_key(
        it.key, container_minimum(get_container(r, leaf), get_typecode(leaf)));
}

uint64_t roaring64_bitmap_maximum(const roaring64_bitmap_t *r) {
    art_iterator_t it = art_init_iterator((art_t *)&r->art, /*first=*/false);
    if (it.value == NULL) {
        return 0;
    }
    leaf_t leaf = (leaf_t)*it.value;
    return combine_key(
        it.key, container_maximum(get_container(r, leaf), get_typecode(leaf)));
}

bool roaring64_bitmap_remove_run_compression(roaring64_bitmap_t *r) {
    art_iterator_t it = art_init_iterator(&r->art, /*first=*/true);
    bool removed = false;
    while (it.value != NULL) {
        leaf_t *leaf = (leaf_t *)it.value;
        if (get_typecode(*leaf) == RUN_CONTAINER_TYPE) {
            run_container_t *run = CAST_run(get_container(r, *leaf));
            int32_t card = run_container_cardinality(run);
            uint8_t new_typecode;
            container_t *new_container =
                convert_to_bitset_or_array_container(run, card, &new_typecode);
            run_container_free(run);
            replace_container(r, leaf, new_container, new_typecode);
            removed = true;
        }
        art_iterator_next(&it);
    }
    return removed;
}

bool roaring64_bitmap_run_optimize(roaring64_bitmap_t *r) {
    art_iterator_t it = art_init_iterator(&r->art, /*first=*/true);
    bool has_run_container = false;
    while (it.value != NULL) {
        leaf_t *leaf = (leaf_t *)it.value;
        uint8_t new_typecode;
        // We don't need to free the existing container if a new one was
        // created, convert_run_optimize does that internally.
        container_t *new_container = convert_run_optimize(
            get_container(r, *leaf), get_typecode(*leaf), &new_typecode);
        replace_container(r, leaf, new_container, new_typecode);
        has_run_container |= new_typecode == RUN_CONTAINER_TYPE;
        art_iterator_next(&it);
    }
    return has_run_container;
}

static void move_to_shrink(roaring64_bitmap_t *r, leaf_t *leaf) {
    uint64_t idx = get_index(*leaf);
    if (idx < r->first_free) {
        return;
    }
    r->containers[r->first_free] = get_container(r, *leaf);
    r->containers[idx] = NULL;
    *leaf = create_leaf(r->first_free, get_typecode(*leaf));
    r->first_free = next_free_container_idx(r);
}

static inline bool is_shrunken(const roaring64_bitmap_t *r) {
    return art_is_shrunken(&r->art) && r->first_free == r->capacity;
}

size_t roaring64_bitmap_shrink_to_fit(roaring64_bitmap_t *r) {
    size_t freed = art_shrink_to_fit(&r->art);
    art_iterator_t it = art_init_iterator(&r->art, true);
    while (it.value != NULL) {
        leaf_t *leaf = (leaf_t *)it.value;
        freed += container_shrink_to_fit(get_container(r, *leaf),
                                         get_typecode(*leaf));
        move_to_shrink(r, leaf);
        art_iterator_next(&it);
    }
    if (is_shrunken(r)) {
        return freed;
    }
    uint64_t new_capacity = r->first_free;
    if (new_capacity < r->capacity) {
        r->containers = (container_t **)roaring_realloc(
            r->containers, new_capacity * sizeof(container_t *));
        freed += (r->capacity - new_capacity) * sizeof(container_t *);
        r->capacity = new_capacity;
    }
    return freed;
}

/**
 *  (For advanced users.)
 * Collect statistics about the bitmap
 */
void roaring64_bitmap_statistics(const roaring64_bitmap_t *r,
                                 roaring64_statistics_t *stat) {
    memset(stat, 0, sizeof(*stat));
    stat->min_value = roaring64_bitmap_minimum(r);
    stat->max_value = roaring64_bitmap_maximum(r);

    art_iterator_t it = art_init_iterator((art_t *)&r->art, true);
    while (it.value != NULL) {
        leaf_t leaf = (leaf_t)*it.value;
        stat->n_containers++;
        uint8_t truetype =
            get_container_type(get_container(r, leaf), get_typecode(leaf));
        uint32_t card = container_get_cardinality(get_container(r, leaf),
                                                  get_typecode(leaf));
        uint32_t sbytes =
            container_size_in_bytes(get_container(r, leaf), get_typecode(leaf));
        stat->cardinality += card;
        switch (truetype) {
            case BITSET_CONTAINER_TYPE:
                stat->n_bitset_containers++;
                stat->n_values_bitset_containers += card;
                stat->n_bytes_bitset_containers += sbytes;
                break;
            case ARRAY_CONTAINER_TYPE:
                stat->n_array_containers++;
                stat->n_values_array_containers += card;
                stat->n_bytes_array_containers += sbytes;
                break;
            case RUN_CONTAINER_TYPE:
                stat->n_run_containers++;
                stat->n_values_run_containers += card;
                stat->n_bytes_run_containers += sbytes;
                break;
            default:
                assert(false);
                roaring_unreachable;
        }
        art_iterator_next(&it);
    }
}

static bool roaring64_leaf_internal_validate(const art_val_t val,
                                             const char **reason,
                                             void *context) {
    leaf_t leaf = (leaf_t)val;
    roaring64_bitmap_t *r = (roaring64_bitmap_t *)context;
    return container_internal_validate(get_container(r, leaf),
                                       get_typecode(leaf), reason);
}

bool roaring64_bitmap_internal_validate(const roaring64_bitmap_t *r,
                                        const char **reason) {
    return art_internal_validate(&r->art, reason,
                                 roaring64_leaf_internal_validate, (void *)r);
}

bool roaring64_bitmap_equals(const roaring64_bitmap_t *r1,
                             const roaring64_bitmap_t *r2) {
    art_iterator_t it1 = art_init_iterator((art_t *)&r1->art, /*first=*/true);
    art_iterator_t it2 = art_init_iterator((art_t *)&r2->art, /*first=*/true);

    while (it1.value != NULL && it2.value != NULL) {
        if (compare_high48(it1.key, it2.key) != 0) {
            return false;
        }
        leaf_t leaf1 = (leaf_t)*it1.value;
        leaf_t leaf2 = (leaf_t)*it2.value;
        if (!container_equals(get_container(r1, leaf1), get_typecode(leaf1),
                              get_container(r2, leaf2), get_typecode(leaf2))) {
            return false;
        }
        art_iterator_next(&it1);
        art_iterator_next(&it2);
    }
    return it1.value == NULL && it2.value == NULL;
}

bool roaring64_bitmap_is_subset(const roaring64_bitmap_t *r1,
                                const roaring64_bitmap_t *r2) {
    art_iterator_t it1 = art_init_iterator((art_t *)&r1->art, /*first=*/true);
    art_iterator_t it2 = art_init_iterator((art_t *)&r2->art, /*first=*/true);

    while (it1.value != NULL) {
        bool it2_present = it2.value != NULL;

        int compare_result = 0;
        if (it2_present) {
            compare_result = compare_high48(it1.key, it2.key);
            if (compare_result == 0) {
                leaf_t leaf1 = (leaf_t)*it1.value;
                leaf_t leaf2 = (leaf_t)*it2.value;
                if (!container_is_subset(
                        get_container(r1, leaf1), get_typecode(leaf1),
                        get_container(r2, leaf2), get_typecode(leaf2))) {
                    return false;
                }
                art_iterator_next(&it1);
                art_iterator_next(&it2);
            }
        }
        if (!it2_present || compare_result < 0) {
            return false;
        } else if (compare_result > 0) {
            art_iterator_lower_bound(&it2, it1.key);
        }
    }
    return true;
}

bool roaring64_bitmap_is_strict_subset(const roaring64_bitmap_t *r1,
                                       const roaring64_bitmap_t *r2) {
    return roaring64_bitmap_get_cardinality(r1) <
               roaring64_bitmap_get_cardinality(r2) &&
           roaring64_bitmap_is_subset(r1, r2);
}

roaring64_bitmap_t *roaring64_bitmap_and(const roaring64_bitmap_t *r1,
                                         const roaring64_bitmap_t *r2) {
    roaring64_bitmap_t *result = roaring64_bitmap_create();

    art_iterator_t it1 = art_init_iterator((art_t *)&r1->art, /*first=*/true);
    art_iterator_t it2 = art_init_iterator((art_t *)&r2->art, /*first=*/true);

    while (it1.value != NULL && it2.value != NULL) {
        // Cases:
        // 1. it1 <  it2 -> it1++
        // 2. it1 == it1 -> output it1 & it2, it1++, it2++
        // 3. it1 >  it2 -> it2++
        int compare_result = compare_high48(it1.key, it2.key);
        if (compare_result == 0) {
            // Case 2: iterators at the same high key position.
            leaf_t leaf1 = (leaf_t)*it1.value;
            leaf_t leaf2 = (leaf_t)*it2.value;
            uint8_t result_typecode;
            container_t *result_container =
                container_and(get_container(r1, leaf1), get_typecode(leaf1),
                              get_container(r2, leaf2), get_typecode(leaf2),
                              &result_typecode);
            if (container_nonzero_cardinality(result_container,
                                              result_typecode)) {
                leaf_t result_leaf =
                    add_container(result, result_container, result_typecode);
                art_insert(&result->art, it1.key, (art_val_t)result_leaf);
            } else {
                container_free(result_container, result_typecode);
            }
            art_iterator_next(&it1);
            art_iterator_next(&it2);
        } else if (compare_result < 0) {
            // Case 1: it1 is before it2.
            art_iterator_lower_bound(&it1, it2.key);
        } else {
            // Case 3: it2 is before it1.
            art_iterator_lower_bound(&it2, it1.key);
        }
    }
    return result;
}

uint64_t roaring64_bitmap_and_cardinality(const roaring64_bitmap_t *r1,
                                          const roaring64_bitmap_t *r2) {
    uint64_t result = 0;

    art_iterator_t it1 = art_init_iterator((art_t *)&r1->art, /*first=*/true);
    art_iterator_t it2 = art_init_iterator((art_t *)&r2->art, /*first=*/true);

    while (it1.value != NULL && it2.value != NULL) {
        // Cases:
        // 1. it1 <  it2 -> it1++
        // 2. it1 == it1 -> output cardinaltiy it1 & it2, it1++, it2++
        // 3. it1 >  it2 -> it2++
        int compare_result = compare_high48(it1.key, it2.key);
        if (compare_result == 0) {
            // Case 2: iterators at the same high key position.
            leaf_t leaf1 = (leaf_t)*it1.value;
            leaf_t leaf2 = (leaf_t)*it2.value;
            result += container_and_cardinality(
                get_container(r1, leaf1), get_typecode(leaf1),
                get_container(r2, leaf2), get_typecode(leaf2));
            art_iterator_next(&it1);
            art_iterator_next(&it2);
        } else if (compare_result < 0) {
            // Case 1: it1 is before it2.
            art_iterator_lower_bound(&it1, it2.key);
        } else {
            // Case 3: it2 is before it1.
            art_iterator_lower_bound(&it2, it1.key);
        }
    }
    return result;
}

// Inplace and (modifies its first argument).
void roaring64_bitmap_and_inplace(roaring64_bitmap_t *r1,
                                  const roaring64_bitmap_t *r2) {
    if (r1 == r2) {
        return;
    }
    art_iterator_t it1 = art_init_iterator(&r1->art, /*first=*/true);
    art_iterator_t it2 = art_init_iterator((art_t *)&r2->art, /*first=*/true);

    while (it1.value != NULL) {
        // Cases:
        // 1. !it2_present -> erase it1
        // 2. it2_present
        //    a. it1 <  it2 -> erase it1
        //    b. it1 == it2 -> output it1 & it2, it1++, it2++
        //    c. it1 >  it2 -> it2++
        bool it2_present = it2.value != NULL;
        int compare_result = 0;
        if (it2_present) {
            compare_result = compare_high48(it1.key, it2.key);
            if (compare_result == 0) {
                // Case 2a: iterators at the same high key position.
                leaf_t *leaf1 = (leaf_t *)it1.value;
                leaf_t leaf2 = (leaf_t)*it2.value;

                // We do the computation "in place" only when c1 is not a
                // shared container. Rationale: using a shared container
                // safely with in place computation would require making a
                // copy and then doing the computation in place which is
                // likely less efficient than avoiding in place entirely and
                // always generating a new container.
                uint8_t typecode = get_typecode(*leaf1);
                container_t *container = get_container(r1, *leaf1);
                uint8_t typecode2;
                container_t *container2;
                if (typecode == SHARED_CONTAINER_TYPE) {
                    container2 = container_and(container, typecode,
                                               get_container(r2, leaf2),
                                               get_typecode(leaf2), &typecode2);
                } else {
                    container2 = container_iand(
                        container, typecode, get_container(r2, leaf2),
                        get_typecode(leaf2), &typecode2);
                }

                if (container2 != container) {
                    container_free(container, typecode);
                }
                if (!container_nonzero_cardinality(container2, typecode2)) {
                    container_free(container2, typecode2);
                    art_iterator_erase(&it1, NULL);
                    remove_container(r1, *leaf1);
                } else {
                    if (container2 != container) {
                        replace_container(r1, leaf1, container2, typecode2);
                    }
                    // Only advance the iterator if we didn't delete the
                    // leaf, as erasing advances by itself.
                    art_iterator_next(&it1);
                }
                art_iterator_next(&it2);
            }
        }

        if (!it2_present || compare_result < 0) {
            // Cases 1 and 3a: it1 is the only iterator or is before it2.
            leaf_t leaf;
            bool erased = art_iterator_erase(&it1, (art_val_t *)&leaf);
            assert(erased);
            (void)erased;
            container_free(get_container(r1, leaf), get_typecode(leaf));
            remove_container(r1, leaf);
        } else if (compare_result > 0) {
            // Case 2c: it1 is after it2.
            art_iterator_lower_bound(&it2, it1.key);
        }
    }
}

bool roaring64_bitmap_intersect(const roaring64_bitmap_t *r1,
                                const roaring64_bitmap_t *r2) {
    bool intersect = false;
    art_iterator_t it1 = art_init_iterator((art_t *)&r1->art, /*first=*/true);
    art_iterator_t it2 = art_init_iterator((art_t *)&r2->art, /*first=*/true);

    while (it1.value != NULL && it2.value != NULL) {
        // Cases:
        // 1. it1 <  it2 -> it1++
        // 2. it1 == it1 -> intersect |= it1 & it2, it1++, it2++
        // 3. it1 >  it2 -> it2++
        int compare_result = compare_high48(it1.key, it2.key);
        if (compare_result == 0) {
            // Case 2: iterators at the same high key position.
            leaf_t leaf1 = (leaf_t)*it1.value;
            leaf_t leaf2 = (leaf_t)*it2.value;
            intersect |= container_intersect(
                get_container(r1, leaf1), get_typecode(leaf1),
                get_container(r2, leaf2), get_typecode(leaf2));
            art_iterator_next(&it1);
            art_iterator_next(&it2);
        } else if (compare_result < 0) {
            // Case 1: it1 is before it2.
            art_iterator_lower_bound(&it1, it2.key);
        } else {
            // Case 3: it2 is before it1.
            art_iterator_lower_bound(&it2, it1.key);
        }
    }
    return intersect;
}

bool roaring64_bitmap_intersect_with_range(const roaring64_bitmap_t *r,
                                           uint64_t min, uint64_t max) {
    if (min >= max) {
        return false;
    }
    roaring64_iterator_t it;
    roaring64_iterator_init_at(r, &it, /*first=*/true);
    if (!roaring64_iterator_move_equalorlarger(&it, min)) {
        return false;
    }
    return roaring64_iterator_has_value(&it) &&
           roaring64_iterator_value(&it) < max;
}

double roaring64_bitmap_jaccard_index(const roaring64_bitmap_t *r1,
                                      const roaring64_bitmap_t *r2) {
    uint64_t c1 = roaring64_bitmap_get_cardinality(r1);
    uint64_t c2 = roaring64_bitmap_get_cardinality(r2);
    uint64_t inter = roaring64_bitmap_and_cardinality(r1, r2);
    return (double)inter / (double)(c1 + c2 - inter);
}

roaring64_bitmap_t *roaring64_bitmap_or(const roaring64_bitmap_t *r1,
                                        const roaring64_bitmap_t *r2) {
    roaring64_bitmap_t *result = roaring64_bitmap_create();

    art_iterator_t it1 = art_init_iterator((art_t *)&r1->art, /*first=*/true);
    art_iterator_t it2 = art_init_iterator((art_t *)&r2->art, /*first=*/true);

    while (it1.value != NULL || it2.value != NULL) {
        bool it1_present = it1.value != NULL;
        bool it2_present = it2.value != NULL;

        // Cases:
        // 1. it1_present  && !it2_present -> output it1, it1++
        // 2. !it1_present && it2_present  -> output it2, it2++
        // 3. it1_present  && it2_present
        //    a. it1 <  it2 -> output it1, it1++
        //    b. it1 == it2 -> output it1 | it2, it1++, it2++
        //    c. it1 >  it2 -> output it2, it2++
        int compare_result = 0;
        if (it1_present && it2_present) {
            compare_result = compare_high48(it1.key, it2.key);
            if (compare_result == 0) {
                // Case 3b: iterators at the same high key position.
                leaf_t leaf1 = (leaf_t)*it1.value;
                leaf_t leaf2 = (leaf_t)*it2.value;
                uint8_t result_typecode;
                container_t *result_container =
                    container_or(get_container(r1, leaf1), get_typecode(leaf1),
                                 get_container(r2, leaf2), get_typecode(leaf2),
                                 &result_typecode);
                leaf_t result_leaf =
                    add_container(result, result_container, result_typecode);
                art_insert(&result->art, it1.key, (art_val_t)result_leaf);
                art_iterator_next(&it1);
                art_iterator_next(&it2);
            }
        }
        if ((it1_present && !it2_present) || compare_result < 0) {
            // Cases 1 and 3a: it1 is the only iterator or is before it2.
            leaf_t result_leaf =
                copy_leaf_container(r1, result, (leaf_t)*it1.value);
            art_insert(&result->art, it1.key, (art_val_t)result_leaf);
            art_iterator_next(&it1);
        } else if ((!it1_present && it2_present) || compare_result > 0) {
            // Cases 2 and 3c: it2 is the only iterator or is before it1.
            leaf_t result_leaf =
                copy_leaf_container(r2, result, (leaf_t)*it2.value);
            art_insert(&result->art, it2.key, (art_val_t)result_leaf);
            art_iterator_next(&it2);
        }
    }
    return result;
}

uint64_t roaring64_bitmap_or_cardinality(const roaring64_bitmap_t *r1,
                                         const roaring64_bitmap_t *r2) {
    uint64_t c1 = roaring64_bitmap_get_cardinality(r1);
    uint64_t c2 = roaring64_bitmap_get_cardinality(r2);
    uint64_t inter = roaring64_bitmap_and_cardinality(r1, r2);
    return c1 + c2 - inter;
}

void roaring64_bitmap_or_inplace(roaring64_bitmap_t *r1,
                                 const roaring64_bitmap_t *r2) {
    if (r1 == r2) {
        return;
    }
    art_iterator_t it1 = art_init_iterator(&r1->art, /*first=*/true);
    art_iterator_t it2 = art_init_iterator((art_t *)&r2->art, /*first=*/true);

    while (it1.value != NULL || it2.value != NULL) {
        bool it1_present = it1.value != NULL;
        bool it2_present = it2.value != NULL;

        // Cases:
        // 1. it1_present  && !it2_present -> it1++
        // 2. !it1_present && it2_present  -> add it2, it2++
        // 3. it1_present  && it2_present
        //    a. it1 <  it2 -> it1++
        //    b. it1 == it2 -> it1 | it2, it1++, it2++
        //    c. it1 >  it2 -> add it2, it2++
        int compare_result = 0;
        if (it1_present && it2_present) {
            compare_result = compare_high48(it1.key, it2.key);
            if (compare_result == 0) {
                // Case 3b: iterators at the same high key position.
                leaf_t *leaf1 = (leaf_t *)it1.value;
                leaf_t leaf2 = (leaf_t)*it2.value;
                uint8_t typecode1 = get_typecode(*leaf1);
                container_t *container1 = get_container(r1, *leaf1);
                uint8_t typecode2;
                container_t *container2;
                if (get_typecode(*leaf1) == SHARED_CONTAINER_TYPE) {
                    container2 = container_or(container1, typecode1,
                                              get_container(r2, leaf2),
                                              get_typecode(leaf2), &typecode2);
                } else {
                    container2 = container_ior(container1, typecode1,
                                               get_container(r2, leaf2),
                                               get_typecode(leaf2), &typecode2);
                }
                if (container2 != container1) {
                    container_free(container1, typecode1);
                    replace_container(r1, leaf1, container2, typecode2);
                }
                art_iterator_next(&it1);
                art_iterator_next(&it2);
            }
        }
        if ((it1_present && !it2_present) || compare_result < 0) {
            // Cases 1 and 3a: it1 is the only iterator or is before it2.
            art_iterator_next(&it1);
        } else if ((!it1_present && it2_present) || compare_result > 0) {
            // Cases 2 and 3c: it2 is the only iterator or is before it1.
            leaf_t result_leaf =
                copy_leaf_container(r2, r1, (leaf_t)*it2.value);
            art_iterator_insert(&it1, it2.key, (art_val_t)result_leaf);
            art_iterator_next(&it2);
        }
    }
}

roaring64_bitmap_t *roaring64_bitmap_xor(const roaring64_bitmap_t *r1,
                                         const roaring64_bitmap_t *r2) {
    roaring64_bitmap_t *result = roaring64_bitmap_create();

    art_iterator_t it1 = art_init_iterator((art_t *)&r1->art, /*first=*/true);
    art_iterator_t it2 = art_init_iterator((art_t *)&r2->art, /*first=*/true);

    while (it1.value != NULL || it2.value != NULL) {
        bool it1_present = it1.value != NULL;
        bool it2_present = it2.value != NULL;

        // Cases:
        // 1. it1_present  && !it2_present -> output it1, it1++
        // 2. !it1_present && it2_present  -> output it2, it2++
        // 3. it1_present  && it2_present
        //    a. it1 <  it2 -> output it1, it1++
        //    b. it1 == it2 -> output it1 ^ it2, it1++, it2++
        //    c. it1 >  it2 -> output it2, it2++
        int compare_result = 0;
        if (it1_present && it2_present) {
            compare_result = compare_high48(it1.key, it2.key);
            if (compare_result == 0) {
                // Case 3b: iterators at the same high key position.
                leaf_t leaf1 = (leaf_t)*it1.value;
                leaf_t leaf2 = (leaf_t)*it2.value;
                uint8_t result_typecode;
                container_t *result_container =
                    container_xor(get_container(r1, leaf1), get_typecode(leaf1),
                                  get_container(r2, leaf2), get_typecode(leaf2),
                                  &result_typecode);
                if (container_nonzero_cardinality(result_container,
                                                  result_typecode)) {
                    leaf_t result_leaf = add_container(result, result_container,
                                                       result_typecode);
                    art_insert(&result->art, it1.key, (art_val_t)result_leaf);
                } else {
                    container_free(result_container, result_typecode);
                }
                art_iterator_next(&it1);
                art_iterator_next(&it2);
            }
        }
        if ((it1_present && !it2_present) || compare_result < 0) {
            // Cases 1 and 3a: it1 is the only iterator or is before it2.
            leaf_t result_leaf =
                copy_leaf_container(r1, result, (leaf_t)*it1.value);
            art_insert(&result->art, it1.key, (art_val_t)result_leaf);
            art_iterator_next(&it1);
        } else if ((!it1_present && it2_present) || compare_result > 0) {
            // Cases 2 and 3c: it2 is the only iterator or is before it1.
            leaf_t result_leaf =
                copy_leaf_container(r2, result, (leaf_t)*it2.value);
            art_insert(&result->art, it2.key, (art_val_t)result_leaf);
            art_iterator_next(&it2);
        }
    }
    return result;
}

uint64_t roaring64_bitmap_xor_cardinality(const roaring64_bitmap_t *r1,
                                          const roaring64_bitmap_t *r2) {
    uint64_t c1 = roaring64_bitmap_get_cardinality(r1);
    uint64_t c2 = roaring64_bitmap_get_cardinality(r2);
    uint64_t inter = roaring64_bitmap_and_cardinality(r1, r2);
    return c1 + c2 - 2 * inter;
}

void roaring64_bitmap_xor_inplace(roaring64_bitmap_t *r1,
                                  const roaring64_bitmap_t *r2) {
    assert(r1 != r2);
    art_iterator_t it1 = art_init_iterator(&r1->art, /*first=*/true);
    art_iterator_t it2 = art_init_iterator((art_t *)&r2->art, /*first=*/true);

    while (it1.value != NULL || it2.value != NULL) {
        bool it1_present = it1.value != NULL;
        bool it2_present = it2.value != NULL;

        // Cases:
        // 1.  it1_present && !it2_present -> it1++
        // 2. !it1_present &&  it2_present -> add it2, it2++
        // 3.  it1_present &&  it2_present
        //    a. it1 <  it2 -> it1++
        //    b. it1 == it2 -> it1 ^ it2, it1++, it2++
        //    c. it1 >  it2 -> add it2, it2++
        int compare_result = 0;
        if (it1_present && it2_present) {
            compare_result = compare_high48(it1.key, it2.key);
            if (compare_result == 0) {
                // Case 3b: iterators at the same high key position.
                leaf_t *leaf1 = (leaf_t *)it1.value;
                leaf_t leaf2 = (leaf_t)*it2.value;
                uint8_t typecode1 = get_typecode(*leaf1);
                container_t *container1 = get_container(r1, *leaf1);
                uint8_t typecode2;
                container_t *container2;
                if (typecode1 == SHARED_CONTAINER_TYPE) {
                    container2 = container_xor(container1, typecode1,
                                               get_container(r2, leaf2),
                                               get_typecode(leaf2), &typecode2);
                    if (container2 != container1) {
                        // We only free when doing container_xor, not
                        // container_ixor, as ixor frees the original
                        // internally.
                        container_free(container1, typecode1);
                    }
                } else {
                    container2 = container_ixor(
                        container1, typecode1, get_container(r2, leaf2),
                        get_typecode(leaf2), &typecode2);
                }

                if (!container_nonzero_cardinality(container2, typecode2)) {
                    container_free(container2, typecode2);
                    bool erased = art_iterator_erase(&it1, NULL);
                    assert(erased);
                    (void)erased;
                    remove_container(r1, *leaf1);
                } else {
                    if (container2 != container1) {
                        replace_container(r1, leaf1, container2, typecode2);
                    }
                    // Only advance the iterator if we didn't delete the
                    // leaf, as erasing advances by itself.
                    art_iterator_next(&it1);
                }
                art_iterator_next(&it2);
            }
        }
        if ((it1_present && !it2_present) || compare_result < 0) {
            // Cases 1 and 3a: it1 is the only iterator or is before it2.
            art_iterator_next(&it1);
        } else if ((!it1_present && it2_present) || compare_result > 0) {
            // Cases 2 and 3c: it2 is the only iterator or is before it1.
            leaf_t result_leaf =
                copy_leaf_container(r2, r1, (leaf_t)*it2.value);
            if (it1_present) {
                art_iterator_insert(&it1, it2.key, (art_val_t)result_leaf);
                art_iterator_next(&it1);
            } else {
                art_insert(&r1->art, it2.key, (art_val_t)result_leaf);
            }
            art_iterator_next(&it2);
        }
    }
}

roaring64_bitmap_t *roaring64_bitmap_andnot(const roaring64_bitmap_t *r1,
                                            const roaring64_bitmap_t *r2) {
    roaring64_bitmap_t *result = roaring64_bitmap_create();

    art_iterator_t it1 = art_init_iterator((art_t *)&r1->art, /*first=*/true);
    art_iterator_t it2 = art_init_iterator((art_t *)&r2->art, /*first=*/true);

    while (it1.value != NULL) {
        // Cases:
        // 1. it1_present && !it2_present -> output it1, it1++
        // 2. it1_present && it2_present
        //    a. it1 <  it2 -> output it1, it1++
        //    b. it1 == it2 -> output it1 - it2, it1++, it2++
        //    c. it1 >  it2 -> it2++
        bool it2_present = it2.value != NULL;
        int compare_result = 0;
        if (it2_present) {
            compare_result = compare_high48(it1.key, it2.key);
            if (compare_result == 0) {
                // Case 2b: iterators at the same high key position.
                leaf_t *leaf1 = (leaf_t *)it1.value;
                leaf_t leaf2 = (leaf_t)*it2.value;
                uint8_t result_typecode;
                container_t *result_container = container_andnot(
                    get_container(r1, *leaf1), get_typecode(*leaf1),
                    get_container(r2, leaf2), get_typecode(leaf2),
                    &result_typecode);

                if (container_nonzero_cardinality(result_container,
                                                  result_typecode)) {
                    leaf_t result_leaf = add_container(result, result_container,
                                                       result_typecode);
                    art_insert(&result->art, it1.key, (art_val_t)result_leaf);
                } else {
                    container_free(result_container, result_typecode);
                }
                art_iterator_next(&it1);
                art_iterator_next(&it2);
            }
        }
        if (!it2_present || compare_result < 0) {
            // Cases 1 and 2a: it1 is the only iterator or is before it2.
            leaf_t result_leaf =
                copy_leaf_container(r1, result, (leaf_t)*it1.value);
            art_insert(&result->art, it1.key, (art_val_t)result_leaf);
            art_iterator_next(&it1);
        } else if (compare_result > 0) {
            // Case 2c: it1 is after it2.
            art_iterator_next(&it2);
        }
    }
    return result;
}

uint64_t roaring64_bitmap_andnot_cardinality(const roaring64_bitmap_t *r1,
                                             const roaring64_bitmap_t *r2) {
    uint64_t c1 = roaring64_bitmap_get_cardinality(r1);
    uint64_t inter = roaring64_bitmap_and_cardinality(r1, r2);
    return c1 - inter;
}

void roaring64_bitmap_andnot_inplace(roaring64_bitmap_t *r1,
                                     const roaring64_bitmap_t *r2) {
    art_iterator_t it1 = art_init_iterator(&r1->art, /*first=*/true);
    art_iterator_t it2 = art_init_iterator((art_t *)&r2->art, /*first=*/true);

    while (it1.value != NULL) {
        // Cases:
        // 1. it1_present && !it2_present -> it1++
        // 2. it1_present &&  it2_present
        //    a. it1 <  it2 -> it1++
        //    b. it1 == it2 -> it1 - it2, it1++, it2++
        //    c. it1 >  it2 -> it2++
        bool it2_present = it2.value != NULL;
        int compare_result = 0;
        if (it2_present) {
            compare_result = compare_high48(it1.key, it2.key);
            if (compare_result == 0) {
                // Case 2b: iterators at the same high key position.
                leaf_t *leaf1 = (leaf_t *)it1.value;
                leaf_t leaf2 = (leaf_t)*it2.value;
                uint8_t typecode1 = get_typecode(*leaf1);
                container_t *container1 = get_container(r1, *leaf1);
                uint8_t typecode2;
                container_t *container2;
                if (typecode1 == SHARED_CONTAINER_TYPE) {
                    container2 = container_andnot(
                        container1, typecode1, get_container(r2, leaf2),
                        get_typecode(leaf2), &typecode2);
                    if (container2 != container1) {
                        // We only free when doing container_andnot, not
                        // container_iandnot, as iandnot frees the original
                        // internally.
                        container_free(container1, typecode1);
                    }
                } else {
                    container2 = container_iandnot(
                        container1, typecode1, get_container(r2, leaf2),
                        get_typecode(leaf2), &typecode2);
                }

                if (!container_nonzero_cardinality(container2, typecode2)) {
                    container_free(container2, typecode2);
                    bool erased = art_iterator_erase(&it1, NULL);
                    assert(erased);
                    (void)erased;
                    remove_container(r1, *leaf1);
                } else {
                    if (container2 != container1) {
                        replace_container(r1, leaf1, container2, typecode2);
                    }
                    // Only advance the iterator if we didn't delete the
                    // leaf, as erasing advances by itself.
                    art_iterator_next(&it1);
                }
                art_iterator_next(&it2);
            }
        }
        if (!it2_present || compare_result < 0) {
            // Cases 1 and 2a: it1 is the only iterator or is before it2.
            art_iterator_next(&it1);
        } else if (compare_result > 0) {
            // Case 2c: it1 is after it2.
            art_iterator_next(&it2);
        }
    }
}

/**
 * Flips the leaf at high48 in the range [min, max), adding the result to
 * `r2`. If the high48 key is not found in `r1`, a new container is created.
 */
static void roaring64_flip_leaf(const roaring64_bitmap_t *r1,
                                roaring64_bitmap_t *r2, uint8_t high48[],
                                uint32_t min, uint32_t max) {
    leaf_t *leaf1 = (leaf_t *)art_find(&r1->art, high48);
    uint8_t typecode2;
    container_t *container2;
    if (leaf1 == NULL) {
        // No container at this key, create a full container.
        container2 = container_range_of_ones(min, max, &typecode2);
    } else if (min == 0 && max > 0xFFFF) {
        // Flip whole container.
        container2 = container_not(get_container(r1, *leaf1),
                                   get_typecode(*leaf1), &typecode2);
    } else {
        // Partially flip a container.
        container2 =
            container_not_range(get_container(r1, *leaf1), get_typecode(*leaf1),
                                min, max, &typecode2);
    }
    if (container_nonzero_cardinality(container2, typecode2)) {
        leaf_t leaf2 = add_container(r2, container2, typecode2);
        art_insert(&r2->art, high48, (art_val_t)leaf2);
    } else {
        container_free(container2, typecode2);
    }
}

/**
 * Flips the leaf at high48 in the range [min, max). If the high48 key is
 * not found in the bitmap, a new container is created. Deletes the leaf and
 * associated container if the negation results in an empty range.
 */
static void roaring64_flip_leaf_inplace(roaring64_bitmap_t *r, uint8_t high48[],
                                        uint32_t min, uint32_t max) {
    leaf_t *leaf = (leaf_t *)art_find(&r->art, high48);
    container_t *container2;
    uint8_t typecode2;
    if (leaf == NULL) {
        // No container at this key, insert a full container.
        container2 = container_range_of_ones(min, max, &typecode2);
        leaf_t new_leaf = add_container(r, container2, typecode2);
        art_insert(&r->art, high48, (art_val_t)new_leaf);
        return;
    }

    if (min == 0 && max > 0xFFFF) {
        // Flip whole container.
        container2 = container_inot(get_container(r, *leaf),
                                    get_typecode(*leaf), &typecode2);
    } else {
        // Partially flip a container.
        container2 = container_inot_range(
            get_container(r, *leaf), get_typecode(*leaf), min, max, &typecode2);
    }

    if (container_nonzero_cardinality(container2, typecode2)) {
        replace_container(r, leaf, container2, typecode2);
    } else {
        bool erased = art_erase(&r->art, high48, NULL);
        assert(erased);
        (void)erased;
        container_free(container2, typecode2);
        remove_container(r, *leaf);
    }
}

roaring64_bitmap_t *roaring64_bitmap_flip(const roaring64_bitmap_t *r,
                                          uint64_t min, uint64_t max) {
    if (min >= max) {
        return roaring64_bitmap_copy(r);
    }
    return roaring64_bitmap_flip_closed(r, min, max - 1);
}

roaring64_bitmap_t *roaring64_bitmap_flip_closed(const roaring64_bitmap_t *r1,
                                                 uint64_t min, uint64_t max) {
    if (min > max) {
        return roaring64_bitmap_copy(r1);
    }
    uint8_t min_high48_key[ART_KEY_BYTES];
    uint16_t min_low16 = split_key(min, min_high48_key);
    uint8_t max_high48_key[ART_KEY_BYTES];
    uint16_t max_low16 = split_key(max, max_high48_key);
    uint64_t min_high48_bits = (min & 0xFFFFFFFFFFFF0000ULL) >> 16;
    uint64_t max_high48_bits = (max & 0xFFFFFFFFFFFF0000ULL) >> 16;

    roaring64_bitmap_t *r2 = roaring64_bitmap_create();
    art_iterator_t it = art_init_iterator((art_t *)&r1->art, /*first=*/true);

    // Copy the containers before min unchanged.
    while (it.value != NULL && compare_high48(it.key, min_high48_key) < 0) {
        leaf_t leaf1 = (leaf_t)*it.value;
        uint8_t typecode2 = get_typecode(leaf1);
        container_t *container2 = get_copy_of_container(
            get_container(r1, leaf1), &typecode2, /*copy_on_write=*/false);
        leaf_t leaf2 = add_container(r2, container2, typecode2);
        art_insert(&r2->art, it.key, (art_val_t)leaf2);
        art_iterator_next(&it);
    }

    // Flip the range (including non-existent containers!) between min and
    // max.
    for (uint64_t high48_bits = min_high48_bits; high48_bits <= max_high48_bits;
         high48_bits++) {
        uint8_t current_high48_key[ART_KEY_BYTES];
        split_key(high48_bits << 16, current_high48_key);

        uint32_t min_container = 0;
        if (high48_bits == min_high48_bits) {
            min_container = min_low16;
        }
        uint32_t max_container = 0xFFFF + 1;  // Exclusive range.
        if (high48_bits == max_high48_bits) {
            max_container = max_low16 + 1;  // Exclusive.
        }

        roaring64_flip_leaf(r1, r2, current_high48_key, min_container,
                            max_container);
    }

    // Copy the containers after max unchanged.
    it = art_upper_bound((art_t *)&r1->art, max_high48_key);
    while (it.value != NULL) {
        leaf_t leaf1 = (leaf_t)*it.value;
        uint8_t typecode2 = get_typecode(leaf1);
        container_t *container2 = get_copy_of_container(
            get_container(r1, leaf1), &typecode2, /*copy_on_write=*/false);
        leaf_t leaf2 = add_container(r2, container2, typecode2);
        art_insert(&r2->art, it.key, (art_val_t)leaf2);
        art_iterator_next(&it);
    }

    return r2;
}

void roaring64_bitmap_flip_inplace(roaring64_bitmap_t *r, uint64_t min,
                                   uint64_t max) {
    if (min >= max) {
        return;
    }
    roaring64_bitmap_flip_closed_inplace(r, min, max - 1);
}

void roaring64_bitmap_flip_closed_inplace(roaring64_bitmap_t *r, uint64_t min,
                                          uint64_t max) {
    if (min > max) {
        return;
    }
    uint16_t min_low16 = (uint16_t)min;
    uint16_t max_low16 = (uint16_t)max;
    uint64_t min_high48_bits = (min & 0xFFFFFFFFFFFF0000ULL) >> 16;
    uint64_t max_high48_bits = (max & 0xFFFFFFFFFFFF0000ULL) >> 16;

    // Flip the range (including non-existent containers!) between min and
    // max.
    for (uint64_t high48_bits = min_high48_bits; high48_bits <= max_high48_bits;
         high48_bits++) {
        uint8_t current_high48_key[ART_KEY_BYTES];
        split_key(high48_bits << 16, current_high48_key);

        uint32_t min_container = 0;
        if (high48_bits == min_high48_bits) {
            min_container = min_low16;
        }
        uint32_t max_container = 0xFFFF + 1;  // Exclusive range.
        if (high48_bits == max_high48_bits) {
            max_container = max_low16 + 1;  // Exclusive.
        }

        roaring64_flip_leaf_inplace(r, current_high48_key, min_container,
                                    max_container);
    }
}

roaring64_bitmap_t *roaring64_bitmap_add_offset_signed(
    const roaring64_bitmap_t *r, bool positive, uint64_t offset) {
    if (offset == 0) {
        return roaring64_bitmap_copy(r);
    }

    roaring64_bitmap_t *answer = roaring64_bitmap_create();

    // Decompose the offset into a signed container-level shift and an
    // intra-container shift. For negative offsets the low 16 bits wrap: e.g.
    // -1 = container_offset(-1) + in_offset(0xffff), because shifting by -1
    // container is a shift of -0x1_0000, so we need to shift up within
    // containers to get back to -1
    uint16_t low16 = (uint16_t)offset;
    int64_t container_offset;
    uint16_t in_offset;
    if (positive) {
        container_offset = (int64_t)(offset >> 16);
        in_offset = low16;
    } else if (low16 == 0) {
        container_offset = -(int64_t)(offset >> 16);
        in_offset = 0;
    } else {
        container_offset = -(int64_t)(offset >> 16) - 1;
        in_offset = (uint16_t)-low16;
    }

    art_iterator_t it = art_init_iterator((art_t *)&r->art, /*first=*/true);

    if (in_offset == 0) {
        while (it.value != NULL) {
            leaf_t leaf = (leaf_t)*it.value;
            int64_t k =
                (int64_t)(combine_key(it.key, 0) >> 16) + container_offset;
            if ((uint64_t)k < (uint64_t)1 << 48) {
                uint8_t new_high48[ART_KEY_BYTES];
                split_key((uint64_t)k << 16, new_high48);
                uint8_t typecode = get_typecode(leaf);
                container_t *container =
                    get_copy_of_container(get_container(r, leaf), &typecode,
                                          /*copy_on_write=*/false);
                leaf_t new_leaf = add_container(answer, container, typecode);
                art_insert(&answer->art, new_high48, (art_val_t)new_leaf);
            }
            art_iterator_next(&it);
        }
        return answer;
    }

    // Track the most recently inserted hi container so that the next
    // iteration's lo can merge with it without re-searching the ART.
    leaf_t *prev_hi_leaf = NULL;
    int64_t prev_hi_k = -1;

    while (it.value != NULL) {
        leaf_t leaf = (leaf_t)*it.value;
        int64_t k = (int64_t)(combine_key(it.key, 0) >> 16) + container_offset;

        container_t *lo = NULL, *hi = NULL;
        container_t **lo_ptr = NULL, **hi_ptr = NULL;

        if ((uint64_t)k < (uint64_t)1 << 48) {
            lo_ptr = &lo;
        }
        if ((uint64_t)(k + 1) < (uint64_t)1 << 48) {
            hi_ptr = &hi;
        }
        if (lo_ptr == NULL && hi_ptr == NULL) {
            art_iterator_next(&it);
            continue;
        }

        uint8_t typecode = get_typecode(leaf);
        const container_t *c =
            container_unwrap_shared(get_container(r, leaf), &typecode);
        container_add_offset(c, typecode, lo_ptr, hi_ptr, in_offset);

        if (lo != NULL) {
            if (prev_hi_leaf != NULL && prev_hi_k == k) {
                uint8_t existing_type = get_typecode(*prev_hi_leaf);
                container_t *existing_c = get_container(answer, *prev_hi_leaf);
                uint8_t merged_type;
                container_t *merged_c = container_ior(
                    existing_c, existing_type, lo, typecode, &merged_type);
                if (merged_c != existing_c) {
                    container_free(existing_c, existing_type);
                }
                replace_container(answer, prev_hi_leaf, merged_c, merged_type);
                container_free(lo, typecode);
            } else {
                uint8_t lo_high48[ART_KEY_BYTES];
                split_key((uint64_t)k << 16, lo_high48);
                leaf_t new_leaf = add_container(answer, lo, typecode);
                art_insert(&answer->art, lo_high48, (art_val_t)new_leaf);
            }
        }

        prev_hi_leaf = NULL;
        if (hi != NULL) {
            uint8_t hi_high48[ART_KEY_BYTES];
            split_key((uint64_t)(k + 1) << 16, hi_high48);
            leaf_t new_leaf = add_container(answer, hi, typecode);
            prev_hi_leaf = (leaf_t *)art_insert(&answer->art, hi_high48,
                                                (art_val_t)new_leaf);
            prev_hi_k = k + 1;
        }

        art_iterator_next(&it);
    }

    // Repair containers (e.g., convert low-cardinality bitset containers to
    // array containers after lazy union operations).
    art_iterator_t repair_it = art_init_iterator(&answer->art, /*first=*/true);
    while (repair_it.value != NULL) {
        leaf_t *leaf_ptr = (leaf_t *)repair_it.value;
        uint8_t typecode = get_typecode(*leaf_ptr);
        container_t *repaired = container_repair_after_lazy(
            get_container(answer, *leaf_ptr), &typecode);
        replace_container(answer, leaf_ptr, repaired, typecode);
        art_iterator_next(&repair_it);
    }

    return answer;
}

// Returns the number of distinct high 32-bit entries in the bitmap.
static inline uint64_t count_high32(const roaring64_bitmap_t *r) {
    art_iterator_t it = art_init_iterator((art_t *)&r->art, /*first=*/true);
    uint64_t high32_count = 0;
    uint32_t prev_high32 = 0;
    while (it.value != NULL) {
        uint32_t current_high32 = (uint32_t)(combine_key(it.key, 0) >> 32);
        if (high32_count == 0 || prev_high32 != current_high32) {
            high32_count++;
            prev_high32 = current_high32;
        }
        art_iterator_next(&it);
    }
    return high32_count;
}

// Frees the (32-bit!) bitmap without freeing the containers.
static inline void roaring_bitmap_free_without_containers(roaring_bitmap_t *r) {
    ra_clear_without_containers(&r->high_low_container);
    roaring_free(r);
}

size_t roaring64_bitmap_portable_size_in_bytes(const roaring64_bitmap_t *r) {
    // https://github.com/RoaringBitmap/RoaringFormatSpec#extension-for-64-bit-implementations
    size_t size = 0;

    // Write as uint64 the distinct number of "buckets", where a bucket is
    // defined as the most significant 32 bits of an element.
    uint64_t high32_count;
    size += sizeof(high32_count);

    art_iterator_t it = art_init_iterator((art_t *)&r->art, /*first=*/true);
    uint32_t prev_high32 = 0;
    roaring_bitmap_t *bitmap32 = NULL;

    // Iterate through buckets ordered by increasing keys.
    while (it.value != NULL) {
        uint32_t current_high32 = (uint32_t)(combine_key(it.key, 0) >> 32);
        if (bitmap32 == NULL || prev_high32 != current_high32) {
            if (bitmap32 != NULL) {
                // Write as uint32 the most significant 32 bits of the
                // bucket.
                size += sizeof(prev_high32);

                // Write the 32-bit Roaring bitmaps representing the least
                // significant bits of a set of elements.
                size += roaring_bitmap_portable_size_in_bytes(bitmap32);
                roaring_bitmap_free_without_containers(bitmap32);
            }

            // Start a new 32-bit bitmap with the current high 32 bits.
            art_iterator_t it2 = it;
            uint32_t containers_with_high32 = 0;
            while (it2.value != NULL && (uint32_t)(combine_key(it2.key, 0) >>
                                                   32) == current_high32) {
                containers_with_high32++;
                art_iterator_next(&it2);
            }
            bitmap32 =
                roaring_bitmap_create_with_capacity(containers_with_high32);

            prev_high32 = current_high32;
        }
        leaf_t leaf = (leaf_t)*it.value;
        ra_append(&bitmap32->high_low_container,
                  (uint16_t)(current_high32 >> 16), get_container(r, leaf),
                  get_typecode(leaf));
        art_iterator_next(&it);
    }

    if (bitmap32 != NULL) {
        // Write as uint32 the most significant 32 bits of the bucket.
        size += sizeof(prev_high32);

        // Write the 32-bit Roaring bitmaps representing the least
        // significant bits of a set of elements.
        size += roaring_bitmap_portable_size_in_bytes(bitmap32);
        roaring_bitmap_free_without_containers(bitmap32);
    }

    return size;
}

size_t roaring64_bitmap_portable_serialize(const roaring64_bitmap_t *r,
                                           char *buf) {
    // https://github.com/RoaringBitmap/RoaringFormatSpec#extension-for-64-bit-implementations
    if (buf == NULL) {
        return 0;
    }
    const char *initial_buf = buf;

    // Write as uint64 the distinct number of "buckets", where a bucket is
    // defined as the most significant 32 bits of an element.
    uint64_t high32_count = count_high32(r);
    memcpy(buf, &high32_count, sizeof(high32_count));
    buf += sizeof(high32_count);

    art_iterator_t it = art_init_iterator((art_t *)&r->art, /*first=*/true);
    uint32_t prev_high32 = 0;
    roaring_bitmap_t *bitmap32 = NULL;

    // Iterate through buckets ordered by increasing keys.
    while (it.value != NULL) {
        uint64_t current_high48 = combine_key(it.key, 0);
        uint32_t current_high32 = (uint32_t)(current_high48 >> 32);
        if (bitmap32 == NULL || prev_high32 != current_high32) {
            if (bitmap32 != NULL) {
                // Write as uint32 the most significant 32 bits of the
                // bucket.
                memcpy(buf, &prev_high32, sizeof(prev_high32));
                buf += sizeof(prev_high32);

                // Write the 32-bit Roaring bitmaps representing the least
                // significant bits of a set of elements.
                buf += roaring_bitmap_portable_serialize(bitmap32, buf);
                roaring_bitmap_free_without_containers(bitmap32);
            }

            // Start a new 32-bit bitmap with the current high 32 bits.
            art_iterator_t it2 = it;
            uint32_t containers_with_high32 = 0;
            while (it2.value != NULL &&
                   (uint32_t)combine_key(it2.key, 0) == current_high32) {
                containers_with_high32++;
                art_iterator_next(&it2);
            }
            bitmap32 =
                roaring_bitmap_create_with_capacity(containers_with_high32);

            prev_high32 = current_high32;
        }
        leaf_t leaf = (leaf_t)*it.value;
        ra_append(&bitmap32->high_low_container,
                  (uint16_t)(current_high48 >> 16), get_container(r, leaf),
                  get_typecode(leaf));
        art_iterator_next(&it);
    }

    if (bitmap32 != NULL) {
        // Write as uint32 the most significant 32 bits of the bucket.
        memcpy(buf, &prev_high32, sizeof(prev_high32));
        buf += sizeof(prev_high32);

        // Write the 32-bit Roaring bitmaps representing the least
        // significant bits of a set of elements.
        buf += roaring_bitmap_portable_serialize(bitmap32, buf);
        roaring_bitmap_free_without_containers(bitmap32);
    }

    return buf - initial_buf;
}

size_t roaring64_bitmap_portable_deserialize_size(const char *buf,
                                                  size_t maxbytes) {
    // https://github.com/RoaringBitmap/RoaringFormatSpec#extension-for-64-bit-implementations
    if (buf == NULL) {
        return 0;
    }
    size_t read_bytes = 0;

    // Read as uint64 the distinct number of "buckets", where a bucket is
    // defined as the most significant 32 bits of an element.
    uint64_t buckets;
    if (read_bytes + sizeof(buckets) > maxbytes) {
        return 0;
    }
    memcpy(&buckets, buf, sizeof(buckets));
    buf += sizeof(buckets);
    read_bytes += sizeof(buckets);

    // Buckets should be 32 bits with 4 bits of zero padding.
    if (buckets > UINT32_MAX) {
        return 0;
    }

    // Iterate through buckets ordered by increasing keys.
    for (uint64_t bucket = 0; bucket < buckets; ++bucket) {
        // Read as uint32 the most significant 32 bits of the bucket.
        uint32_t high32;
        if (read_bytes + sizeof(high32) > maxbytes) {
            return 0;
        }
        buf += sizeof(high32);
        read_bytes += sizeof(high32);

        // Read the 32-bit Roaring bitmaps representing the least
        // significant bits of a set of elements.
        size_t bitmap32_size = roaring_bitmap_portable_deserialize_size(
            buf, maxbytes - read_bytes);
        if (bitmap32_size == 0) {
            return 0;
        }
        buf += bitmap32_size;
        read_bytes += bitmap32_size;
    }
    return read_bytes;
}

roaring64_bitmap_t *roaring64_bitmap_portable_deserialize_safe(
    const char *buf, size_t maxbytes) {
    // https://github.com/RoaringBitmap/RoaringFormatSpec#extension-for-64-bit-implementations
    if (buf == NULL) {
        return NULL;
    }
    size_t read_bytes = 0;

    // Read as uint64 the distinct number of "buckets", where a bucket is
    // defined as the most significant 32 bits of an element.
    uint64_t buckets;
    if (read_bytes + sizeof(buckets) > maxbytes) {
        return NULL;
    }
    memcpy(&buckets, buf, sizeof(buckets));
    buf += sizeof(buckets);
    read_bytes += sizeof(buckets);

    // Buckets should be 32 bits with 4 bits of zero padding.
    if (buckets > UINT32_MAX) {
        return NULL;
    }

    roaring64_bitmap_t *r = roaring64_bitmap_create();
    // Iterate through buckets ordered by increasing keys.
    int64_t previous_high32 = -1;
    for (uint64_t bucket = 0; bucket < buckets; ++bucket) {
        // Read as uint32 the most significant 32 bits of the bucket.
        uint32_t high32;
        if (read_bytes + sizeof(high32) > maxbytes) {
            roaring64_bitmap_free(r);
            return NULL;
        }
        memcpy(&high32, buf, sizeof(high32));
        buf += sizeof(high32);
        read_bytes += sizeof(high32);
        // High 32 bits must be strictly increasing.
        if (high32 <= previous_high32) {
            roaring64_bitmap_free(r);
            return NULL;
        }
        previous_high32 = high32;

        // Read the 32-bit Roaring bitmaps representing the least
        // significant bits of a set of elements.
        size_t bitmap32_size = roaring_bitmap_portable_deserialize_size(
            buf, maxbytes - read_bytes);
        if (bitmap32_size == 0) {
            roaring64_bitmap_free(r);
            return NULL;
        }

        roaring_bitmap_t *bitmap32 = roaring_bitmap_portable_deserialize_safe(
            buf, maxbytes - read_bytes);
        if (bitmap32 == NULL) {
            roaring64_bitmap_free(r);
            return NULL;
        }
        buf += bitmap32_size;
        read_bytes += bitmap32_size;

        // While we don't attempt to validate much, we must ensure that there
        // is no duplication in the high 48 bits - inserting into the ART
        // assumes (or UB) no duplicate keys. The top 32 bits must be unique
        // because we check for strict increasing values of  high32, but we
        // must also ensure the top 16 bits within each 32-bit bitmap are also
        // at least unique (we ensure they're strictly increasing as well,
        // which they must be for a _valid_ bitmap, since it's cheaper to check)
        int32_t last_bitmap_key = -1;
        for (int i = 0; i < bitmap32->high_low_container.size; i++) {
            uint16_t key = bitmap32->high_low_container.keys[i];
            if (key <= last_bitmap_key) {
                roaring_bitmap_free(bitmap32);
                roaring64_bitmap_free(r);
                return NULL;
            }
            last_bitmap_key = key;
        }

        // Insert all containers of the 32-bit bitmap into the 64-bit bitmap.
        move_from_roaring32_offset(r, bitmap32, high32);
        roaring_bitmap_free(bitmap32);
    }
    return r;
}

// Returns an "element count" for the given container. This has a different
// meaning for each container type, but the purpose is the minimal information
// required to serialize the container metadata.
static inline uint32_t container_get_element_count(const container_t *c,
                                                   uint8_t typecode) {
    switch (typecode) {
        case BITSET_CONTAINER_TYPE: {
            return ((bitset_container_t *)c)->cardinality;
        }
        case ARRAY_CONTAINER_TYPE: {
            return ((array_container_t *)c)->cardinality;
        }
        case RUN_CONTAINER_TYPE: {
            return ((run_container_t *)c)->n_runs;
        }
        default: {
            assert(false);
            roaring_unreachable;
            return 0;
        }
    }
}

static inline size_t container_get_frozen_size(const container_t *c,
                                               uint8_t typecode) {
    switch (typecode) {
        case BITSET_CONTAINER_TYPE: {
            return BITSET_CONTAINER_SIZE_IN_WORDS * sizeof(uint64_t);
        }
        case ARRAY_CONTAINER_TYPE: {
            return container_get_element_count(c, typecode) * sizeof(uint16_t);
        }
        case RUN_CONTAINER_TYPE: {
            return container_get_element_count(c, typecode) * sizeof(rle16_t);
        }
        default: {
            assert(false);
            roaring_unreachable;
            return 0;
        }
    }
}

uint64_t align_size(uint64_t size, uint64_t alignment) {
    return (size + alignment - 1) & ~(alignment - 1);
}

size_t roaring64_bitmap_frozen_size_in_bytes(const roaring64_bitmap_t *r) {
    if (!is_shrunken(r)) {
        return 0;
    }
    // Flags.
    uint64_t size = sizeof(r->flags);
    // Container count.
    size += sizeof(r->capacity);
    // Container element counts.
    size += r->capacity * sizeof(uint16_t);
    // Total container sizes.
    size += 3 * sizeof(uint64_t);
    // ART (8 byte aligned).
    size = align_size(size, 8);
    size += art_size_in_bytes(&r->art);

    uint64_t total_sizes[4] =
        CROARING_ZERO_INITIALIZER;  // Indexed by typecode.
    art_iterator_t it = art_init_iterator((art_t *)&r->art, /*first=*/true);
    while (it.value != NULL) {
        leaf_t leaf = (leaf_t)*it.value;
        uint8_t typecode = get_typecode(leaf);
        total_sizes[typecode] +=
            container_get_frozen_size(get_container(r, leaf), typecode);
        art_iterator_next(&it);
    }
    // Containers (aligned).
    size = align_size(size, CROARING_BITSET_ALIGNMENT);
    size += total_sizes[BITSET_CONTAINER_TYPE];
    size = align_size(size, alignof(rle16_t));
    size += total_sizes[ARRAY_CONTAINER_TYPE];
    size = align_size(size, alignof(uint16_t));
    size += total_sizes[RUN_CONTAINER_TYPE];
    // Padding to make overall size a multiple of required alignment.
    size = align_size(size, CROARING_BITSET_ALIGNMENT);
    return size;
}

static inline void container_frozen_serialize(const container_t *container,
                                              uint8_t typecode,
                                              uint64_t **bitsets,
                                              uint16_t **arrays,
                                              rle16_t **runs) {
    size_t size = container_get_frozen_size(container, typecode);
    switch (typecode) {
        case BITSET_CONTAINER_TYPE: {
            bitset_container_t *bitset = (bitset_container_t *)container;
            memcpy(*bitsets, bitset->words, size);
            *bitsets += BITSET_CONTAINER_SIZE_IN_WORDS;
            break;
        }
        case ARRAY_CONTAINER_TYPE: {
            array_container_t *array = (array_container_t *)container;
            memcpy(*arrays, array->array, size);
            *arrays += container_get_element_count(container, typecode);
            break;
        }
        case RUN_CONTAINER_TYPE: {
            run_container_t *run = (run_container_t *)container;
            memcpy(*runs, run->runs, size);
            *runs += container_get_element_count(container, typecode);
            break;
        }
        default: {
            assert(false);
            roaring_unreachable;
        }
    }
}

static inline char *pad_align(char *buf, const char *initial_buf,
                              size_t alignment) {
    uint64_t buf_size = buf - initial_buf;
    uint64_t pad = align_size(buf_size, alignment) - buf_size;
    memset(buf, 0, pad);
    return buf + pad;
}

size_t roaring64_bitmap_frozen_serialize(const roaring64_bitmap_t *r,
                                         char *buf) {
    if (buf == NULL) {
        return 0;
    }
    if (!is_shrunken(r)) {
        return 0;
    }
    const char *initial_buf = buf;

    // Flags.
    memcpy(buf, &r->flags, sizeof(r->flags));
    buf += sizeof(r->flags);

    // Container count.
    memcpy(buf, &r->capacity, sizeof(r->capacity));
    buf += sizeof(r->capacity);

    // Container element counts.
    uint64_t total_sizes[4] =
        CROARING_ZERO_INITIALIZER;  // Indexed by typecode.
    art_iterator_t it = art_init_iterator((art_t *)&r->art, /*first=*/true);
    while (it.value != NULL) {
        leaf_t leaf = (leaf_t)*it.value;
        uint8_t typecode = get_typecode(leaf);
        container_t *container = get_container(r, leaf);

        uint32_t elem_count = container_get_element_count(container, typecode);
        uint16_t compressed_elem_count = (uint16_t)(elem_count - 1);
        memcpy(buf, &compressed_elem_count, sizeof(compressed_elem_count));
        buf += sizeof(compressed_elem_count);

        total_sizes[typecode] += container_get_frozen_size(container, typecode);
        art_iterator_next(&it);
    }

    // Total container sizes.
    memcpy(buf, &(total_sizes[BITSET_CONTAINER_TYPE]), sizeof(uint64_t));
    buf += sizeof(uint64_t);
    memcpy(buf, &(total_sizes[RUN_CONTAINER_TYPE]), sizeof(uint64_t));
    buf += sizeof(uint64_t);
    memcpy(buf, &(total_sizes[ARRAY_CONTAINER_TYPE]), sizeof(uint64_t));
    buf += sizeof(uint64_t);

    // ART.
    buf = pad_align(buf, initial_buf, 8);
    buf += art_serialize(&r->art, buf);

    // Containers (aligned).
    // Runs before arrays as run elements are larger than array elements and
    // smaller than bitset elements.
    buf = pad_align(buf, initial_buf, CROARING_BITSET_ALIGNMENT);
    uint64_t *bitsets = (uint64_t *)buf;
    buf += total_sizes[BITSET_CONTAINER_TYPE];
    buf = pad_align(buf, initial_buf, alignof(rle16_t));
    rle16_t *runs = (rle16_t *)buf;
    buf += total_sizes[RUN_CONTAINER_TYPE];
    buf = pad_align(buf, initial_buf, alignof(uint16_t));
    uint16_t *arrays = (uint16_t *)buf;
    buf += total_sizes[ARRAY_CONTAINER_TYPE];

    it = art_init_iterator((art_t *)&r->art, /*first=*/true);
    while (it.value != NULL) {
        leaf_t leaf = (leaf_t)*it.value;
        uint8_t typecode = get_typecode(leaf);
        container_t *container = get_container(r, leaf);
        container_frozen_serialize(container, typecode, &bitsets, &arrays,
                                   &runs);
        art_iterator_next(&it);
    }

    // Padding to make overall size a multiple of required alignment.
    buf = pad_align(buf, initial_buf, CROARING_BITSET_ALIGNMENT);

    return buf - initial_buf;
}

static container_t *container_frozen_view(uint8_t typecode, uint32_t elem_count,
                                          const uint64_t **bitsets,
                                          const uint16_t **arrays,
                                          const rle16_t **runs) {
    switch (typecode) {
        case BITSET_CONTAINER_TYPE: {
            bitset_container_t *c = (bitset_container_t *)roaring_malloc(
                sizeof(bitset_container_t));
            c->cardinality = elem_count;
            c->words = (uint64_t *)*bitsets;
            *bitsets += BITSET_CONTAINER_SIZE_IN_WORDS;
            return (container_t *)c;
        }
        case ARRAY_CONTAINER_TYPE: {
            array_container_t *c =
                (array_container_t *)roaring_malloc(sizeof(array_container_t));
            c->cardinality = elem_count;
            c->capacity = elem_count;
            c->array = (uint16_t *)*arrays;
            *arrays += elem_count;
            return (container_t *)c;
        }
        case RUN_CONTAINER_TYPE: {
            run_container_t *c =
                (run_container_t *)roaring_malloc(sizeof(run_container_t));
            c->n_runs = elem_count;
            c->capacity = elem_count;
            c->runs = (rle16_t *)*runs;
            *runs += elem_count;
            return (container_t *)c;
        }
        default: {
            assert(false);
            roaring_unreachable;
            return NULL;
        }
    }
}

roaring64_bitmap_t *roaring64_bitmap_frozen_view(const char *buf,
                                                 size_t maxbytes) {
    if (buf == NULL) {
        return NULL;
    }
    if ((uintptr_t)buf % CROARING_BITSET_ALIGNMENT != 0) {
        return NULL;
    }

    roaring64_bitmap_t *r = roaring64_bitmap_create();

    // Flags.
    if (maxbytes < sizeof(r->flags)) {
        roaring64_bitmap_free(r);
        return NULL;
    }
    memcpy(&r->flags, buf, sizeof(r->flags));
    buf += sizeof(r->flags);
    maxbytes -= sizeof(r->flags);
    r->flags |= ROARING_FLAG_FROZEN;

    // Container count.
    if (maxbytes < sizeof(r->capacity)) {
        roaring64_bitmap_free(r);
        return NULL;
    }
    memcpy(&r->capacity, buf, sizeof(r->capacity));
    buf += sizeof(r->capacity);
    maxbytes -= sizeof(r->capacity);

    r->containers =
        (container_t **)roaring_malloc(r->capacity * sizeof(container_t *));

    // Container element counts.
    if (maxbytes < r->capacity * sizeof(uint16_t)) {
        roaring64_bitmap_free(r);
        return NULL;
    }
    const char *elem_counts = buf;
    buf += r->capacity * sizeof(uint16_t);
    maxbytes -= r->capacity * sizeof(uint16_t);

    // Total container sizes.
    uint64_t total_sizes[4];
    if (maxbytes < sizeof(uint64_t) * 3) {
        roaring64_bitmap_free(r);
        return NULL;
    }
    memcpy(&(total_sizes[BITSET_CONTAINER_TYPE]), buf, sizeof(uint64_t));
    buf += sizeof(uint64_t);
    maxbytes -= sizeof(uint64_t);
    memcpy(&(total_sizes[RUN_CONTAINER_TYPE]), buf, sizeof(uint64_t));
    buf += sizeof(uint64_t);
    maxbytes -= sizeof(uint64_t);
    memcpy(&(total_sizes[ARRAY_CONTAINER_TYPE]), buf, sizeof(uint64_t));
    buf += sizeof(uint64_t);
    maxbytes -= sizeof(uint64_t);

    // ART (8 byte aligned).
    buf = CROARING_ALIGN_BUF(buf, 8);
    size_t art_size = art_frozen_view(buf, maxbytes, &r->art);
    if (art_size == 0) {
        roaring64_bitmap_free(r);
        return NULL;
    }
    buf += art_size;
    maxbytes -= art_size;

    // Containers (aligned).
    const char *before_containers = buf;
    buf = CROARING_ALIGN_BUF(buf, CROARING_BITSET_ALIGNMENT);
    const uint64_t *bitsets = (const uint64_t *)buf;
    buf += total_sizes[BITSET_CONTAINER_TYPE];
    buf = CROARING_ALIGN_BUF(buf, alignof(rle16_t));
    const rle16_t *runs = (const rle16_t *)buf;
    buf += total_sizes[RUN_CONTAINER_TYPE];
    buf = CROARING_ALIGN_BUF(buf, alignof(uint16_t));
    const uint16_t *arrays = (const uint16_t *)buf;
    buf += total_sizes[ARRAY_CONTAINER_TYPE];
    if (maxbytes < (uint64_t)(buf - before_containers)) {
        roaring64_bitmap_free(r);
        return NULL;
    }
    maxbytes -= buf - before_containers;

    // Deserialize in ART iteration order.
    art_iterator_t it = art_init_iterator(&r->art, /*first=*/true);
    for (size_t i = 0; it.value != NULL; ++i) {
        leaf_t leaf = (leaf_t)*it.value;
        uint8_t typecode = get_typecode(leaf);

        uint16_t compressed_elem_count;
        memcpy(&compressed_elem_count, elem_counts + (i * sizeof(uint16_t)),
               sizeof(compressed_elem_count));
        uint32_t elem_count = (uint32_t)(compressed_elem_count) + 1;

        // The container index is unrelated to the iteration order.
        uint64_t index = get_index(leaf);
        r->containers[index] = container_frozen_view(typecode, elem_count,
                                                     &bitsets, &arrays, &runs);

        art_iterator_next(&it);
    }

    // Padding to make overall size a multiple of required alignment.
    buf = CROARING_ALIGN_BUF(buf, CROARING_BITSET_ALIGNMENT);

    return r;
}

bool roaring64_bitmap_iterate(const roaring64_bitmap_t *r,
                              roaring_iterator64 iterator, void *ptr) {
    art_iterator_t it = art_init_iterator((art_t *)&r->art, /*first=*/true);
    while (it.value != NULL) {
        uint64_t high48 = combine_key(it.key, 0);
        uint64_t high32 = high48 & 0xFFFFFFFF00000000ULL;
        uint32_t low32 = high48;
        leaf_t leaf = (leaf_t)*it.value;
        if (!container_iterate64(get_container(r, leaf), get_typecode(leaf),
                                 low32, iterator, high32, ptr)) {
            return false;
        }
        art_iterator_next(&it);
    }
    return true;
}

void roaring64_bitmap_to_uint64_array(const roaring64_bitmap_t *r,
                                      uint64_t *out) {
    roaring64_iterator_t it;  // gets initialized in the next line
    roaring64_iterator_init_at(r, &it, /*first=*/true);
    roaring64_iterator_read(&it, out, UINT64_MAX);
}

roaring64_iterator_t *roaring64_iterator_create(const roaring64_bitmap_t *r) {
    roaring64_iterator_t *it =
        (roaring64_iterator_t *)roaring_malloc(sizeof(roaring64_iterator_t));
    return roaring64_iterator_init_at(r, it, /*first=*/true);
}

roaring64_iterator_t *roaring64_iterator_create_last(
    const roaring64_bitmap_t *r) {
    roaring64_iterator_t *it =
        (roaring64_iterator_t *)roaring_malloc(sizeof(roaring64_iterator_t));
    return roaring64_iterator_init_at(r, it, /*first=*/false);
}

void roaring64_iterator_reinit(const roaring64_bitmap_t *r,
                               roaring64_iterator_t *it) {
    roaring64_iterator_init_at(r, it, /*first=*/true);
}

void roaring64_iterator_reinit_last(const roaring64_bitmap_t *r,
                                    roaring64_iterator_t *it) {
    roaring64_iterator_init_at(r, it, /*first=*/false);
}

roaring64_iterator_t *roaring64_iterator_copy(const roaring64_iterator_t *it) {
    roaring64_iterator_t *new_it =
        (roaring64_iterator_t *)roaring_malloc(sizeof(roaring64_iterator_t));
    memcpy(new_it, it, sizeof(*it));
    return new_it;
}

void roaring64_iterator_free(roaring64_iterator_t *it) { roaring_free(it); }

bool roaring64_iterator_has_value(const roaring64_iterator_t *it) {
    return it->has_value;
}

uint64_t roaring64_iterator_value(const roaring64_iterator_t *it) {
    return it->value;
}

bool roaring64_iterator_advance(roaring64_iterator_t *it) {
    if (it->art_it.value == NULL) {
        if (it->saturated_forward) {
            return (it->has_value = false);
        }
        roaring64_iterator_init_at(it->r, it, /*first=*/true);
        return it->has_value;
    }
    leaf_t leaf = (leaf_t)*it->art_it.value;
    uint16_t low16 = (uint16_t)it->value;
    if (container_iterator_next(get_container(it->r, leaf), get_typecode(leaf),
                                &it->container_it, &low16)) {
        it->value = it->high48 | low16;
        return (it->has_value = true);
    }
    if (art_iterator_next(&it->art_it)) {
        return roaring64_iterator_init_at_leaf_first(it);
    }
    it->saturated_forward = true;
    return (it->has_value = false);
}

bool roaring64_iterator_previous(roaring64_iterator_t *it) {
    if (it->art_it.value == NULL) {
        if (!it->saturated_forward) {
            // Saturated backward.
            return (it->has_value = false);
        }
        roaring64_iterator_init_at(it->r, it, /*first=*/false);
        return it->has_value;
    }
    leaf_t leaf = (leaf_t)*it->art_it.value;
    uint16_t low16 = (uint16_t)it->value;
    if (container_iterator_prev(get_container(it->r, leaf), get_typecode(leaf),
                                &it->container_it, &low16)) {
        it->value = it->high48 | low16;
        return (it->has_value = true);
    }
    if (art_iterator_prev(&it->art_it)) {
        return roaring64_iterator_init_at_leaf_last(it);
    }
    it->saturated_forward = false;  // Saturated backward.
    return (it->has_value = false);
}

bool roaring64_iterator_move_equalorlarger(roaring64_iterator_t *it,
                                           uint64_t val) {
    uint8_t val_high48[ART_KEY_BYTES];
    uint16_t val_low16 = split_key(val, val_high48);
    if (!it->has_value || it->high48 != (val & 0xFFFFFFFFFFFF0000)) {
        // The ART iterator is before or after the high48 bits of `val` (or
        // beyond the ART altogether), so we need to move to a leaf with a
        // key equal or greater.
        if (!art_iterator_lower_bound(&it->art_it, val_high48)) {
            // Only smaller keys found.
            it->saturated_forward = true;
            return (it->has_value = false);
        }
        it->high48 = combine_key(it->art_it.key, 0);
        // Fall through to the next if statement.
    }

    if (it->high48 == (val & 0xFFFFFFFFFFFF0000)) {
        // We're at equal high bits, check if a suitable value can be found
        // in this container.
        leaf_t leaf = (leaf_t)*it->art_it.value;
        uint16_t low16 = (uint16_t)it->value;
        if (container_iterator_lower_bound(
                get_container(it->r, leaf), get_typecode(leaf),
                &it->container_it, &low16, val_low16)) {
            it->value = it->high48 | low16;
            return (it->has_value = true);
        }
        // Only smaller entries in this container, move to the next.
        if (!art_iterator_next(&it->art_it)) {
            it->saturated_forward = true;
            return (it->has_value = false);
        }
    }

    // We're at a leaf with high bits greater than `val`, so the first entry
    // in this container is our result.
    return roaring64_iterator_init_at_leaf_first(it);
}

uint64_t roaring64_iterator_read(roaring64_iterator_t *it, uint64_t *buf,
                                 uint64_t count) {
    uint64_t consumed = 0;
    while (it->has_value && consumed < count) {
        uint32_t container_consumed;
        leaf_t leaf = (leaf_t)*it->art_it.value;
        uint16_t low16 = (uint16_t)it->value;
        uint32_t container_count = UINT32_MAX;
        if (count - consumed < (uint64_t)UINT32_MAX) {
            container_count = count - consumed;
        }
        bool has_value = container_iterator_read_into_uint64(
            get_container(it->r, leaf), get_typecode(leaf), &it->container_it,
            it->high48, buf, container_count, &container_consumed, &low16);
        consumed += container_consumed;
        buf += container_consumed;
        if (has_value) {
            it->has_value = true;
            it->value = it->high48 | low16;
            assert(consumed == count);
            return consumed;
        }
        it->has_value = art_iterator_next(&it->art_it);
        if (it->has_value) {
            roaring64_iterator_init_at_leaf_first(it);
        } else {
            it->saturated_forward = true;
        }
    }
    return consumed;
}

#ifdef __cplusplus
}  // extern "C"
}  // namespace roaring
}  // namespace api
#endif
/* end file src/roaring64.c */
