/*

   BLIS
   An object-based framework for developing high-performance BLAS-like
   libraries.

   Copyright (C) 2014, The University of Texas at Austin

   Redistribution and use in source and binary forms, with or without
   modification, are permitted provided that the following conditions are
   met:
    - Redistributions of source code must retain the above copyright
      notice, this list of conditions and the following disclaimer.
    - 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.
    - Neither the name(s) of the copyright holder(s) 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
   HOLDER 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 "blis.h"

#ifdef BLIS_ENABLE_BLAS

/* dspmv.f -- translated by f2c (version 19991025).
   You must link the resulting object file with the libraries:
	-lf2c -lm   (in that order)
*/

/* Subroutine */ int PASTEF77(d,spmv)(const bla_character *uplo, const bla_integer *n, const bla_double *alpha, const bla_double *ap, const bla_double *x, const bla_integer *incx, const bla_double *beta, bla_double *y, const bla_integer *incy)
{
    /* System generated locals */
    bla_integer i__1, i__2;

    /* Local variables */
    bla_integer info;
    bla_double temp1, temp2;
    bla_integer i__, j, k;
    //extern bla_logical PASTEF77(lsame)(bla_character *, bla_character *, ftnlen, ftnlen);
    bla_integer kk, ix, iy, jx, jy, kx, ky;
    //extern /* Subroutine */ int PASTEF77(xerbla)(bla_character *, bla_integer *, ftnlen);

/*     .. Scalar Arguments .. */
/*     .. Array Arguments .. */
/*     .. */

/*  Purpose */
/*  ======= */

/*  DSPMV  performs the matrix-vector operation */

/*     y := alpha*A*x + beta*y, */

/*  where alpha and beta are scalars, x and y are n element vectors and */
/*  A is an n by n symmetric matrix, supplied in packed form. */

/*  Parameters */
/*  ========== */

/*  UPLO   - CHARACTER*1. */
/*           On entry, UPLO specifies whether the upper or lower */
/*           triangular part of the matrix A is supplied in the packed */
/*           array AP as follows: */

/*              UPLO = 'U' or 'u'   The upper triangular part of A is */
/*                                  supplied in AP. */

/*              UPLO = 'L' or 'l'   The lower triangular part of A is */
/*                                  supplied in AP. */

/*           Unchanged on exit. */

/*  N      - INTEGER. */
/*           On entry, N specifies the order of the matrix A. */
/*           N must be at least zero. */
/*           Unchanged on exit. */

/*  ALPHA  - DOUBLE PRECISION. */
/*           On entry, ALPHA specifies the scalar alpha. */
/*           Unchanged on exit. */

/*  AP     - DOUBLE PRECISION array of DIMENSION at least */
/*           ( ( n*( n + 1 ) )/2 ). */
/*           Before entry with UPLO = 'U' or 'u', the array AP must */
/*           contain the upper triangular part of the symmetric matrix */
/*           packed sequentially, column by column, so that AP( 1 ) */
/*           contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 ) */
/*           and a( 2, 2 ) respectively, and so on. */
/*           Before entry with UPLO = 'L' or 'l', the array AP must */
/*           contain the lower triangular part of the symmetric matrix */
/*           packed sequentially, column by column, so that AP( 1 ) */
/*           contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 ) */
/*           and a( 3, 1 ) respectively, and so on. */
/*           Unchanged on exit. */

/*  X      - DOUBLE PRECISION array of dimension at least */
/*           ( 1 + ( n - 1 )*abs( INCX ) ). */
/*           Before entry, the incremented array X must contain the n */
/*           element vector x. */
/*           Unchanged on exit. */

/*  INCX   - INTEGER. */
/*           On entry, INCX specifies the increment for the elements of */
/*           X. INCX must not be zero. */
/*           Unchanged on exit. */

/*  BETA   - DOUBLE PRECISION. */
/*           On entry, BETA specifies the scalar beta. When BETA is */
/*           supplied as zero then Y need not be set on input. */
/*           Unchanged on exit. */

/*  Y      - DOUBLE PRECISION array of dimension at least */
/*           ( 1 + ( n - 1 )*abs( INCY ) ). */
/*           Before entry, the incremented array Y must contain the n */
/*           element vector y. On exit, Y is overwritten by the updated */
/*           vector y. */

/*  INCY   - INTEGER. */
/*           On entry, INCY specifies the increment for the elements of */
/*           Y. INCY must not be zero. */
/*           Unchanged on exit. */


/*  Level 2 Blas routine. */

/*  -- Written on 22-October-1986. */
/*     Jack Dongarra, Argonne National Lab. */
/*     Jeremy Du Croz, Nag Central Office. */
/*     Sven Hammarling, Nag Central Office. */
/*     Richard Hanson, Sandia National Labs. */


/*     .. Parameters .. */
/*     .. Local Scalars .. */
/*     .. External Functions .. */
/*     .. External Subroutines .. */
/*     .. */
/*     .. Executable Statements .. */

/*     Test the input parameters. */

    /* Parameter adjustments */
    --y;
    --x;
    --ap;

    /* Function Body */
    info = 0;
    if (! PASTEF77(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1) && ! PASTEF77(lsame)(uplo, "L", (
	    ftnlen)1, (ftnlen)1)) {
	info = 1;
    } else if (*n < 0) {
	info = 2;
    } else if (*incx == 0) {
	info = 6;
    } else if (*incy == 0) {
	info = 9;
    }
    if (info != 0) {
	PASTEF77(xerbla)("DSPMV ", &info, (ftnlen)6);
	return 0;
    }

/*     Quick return if possible. */

    if (*n == 0 || (*alpha == 0. && *beta == 1.)) {
	return 0;
    }

/*     Set up the start points in  X  and  Y. */

    if (*incx > 0) {
	kx = 1;
    } else {
	kx = 1 - (*n - 1) * *incx;
    }
    if (*incy > 0) {
	ky = 1;
    } else {
	ky = 1 - (*n - 1) * *incy;
    }

/*     Start the operations. In this version the elements of the array AP */
/*     are accessed sequentially with one pass through AP. */

/*     First form  y := beta*y. */

    if (*beta != 1.) {
	if (*incy == 1) {
	    if (*beta == 0.) {
		i__1 = *n;
		for (i__ = 1; i__ <= i__1; ++i__) {
		    y[i__] = 0.;
/* L10: */
		}
	    } else {
		i__1 = *n;
		for (i__ = 1; i__ <= i__1; ++i__) {
		    y[i__] = *beta * y[i__];
/* L20: */
		}
	    }
	} else {
	    iy = ky;
	    if (*beta == 0.) {
		i__1 = *n;
		for (i__ = 1; i__ <= i__1; ++i__) {
		    y[iy] = 0.;
		    iy += *incy;
/* L30: */
		}
	    } else {
		i__1 = *n;
		for (i__ = 1; i__ <= i__1; ++i__) {
		    y[iy] = *beta * y[iy];
		    iy += *incy;
/* L40: */
		}
	    }
	}
    }
    if (*alpha == 0.) {
	return 0;
    }
    kk = 1;
    if (PASTEF77(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1)) {

/*        Form  y  when AP contains the upper triangle. */

	if (*incx == 1 && *incy == 1) {
	    i__1 = *n;
	    for (j = 1; j <= i__1; ++j) {
		temp1 = *alpha * x[j];
		temp2 = 0.;
		k = kk;
		i__2 = j - 1;
		for (i__ = 1; i__ <= i__2; ++i__) {
		    y[i__] += temp1 * ap[k];
		    temp2 += ap[k] * x[i__];
		    ++k;
/* L50: */
		}
		y[j] = y[j] + temp1 * ap[kk + j - 1] + *alpha * temp2;
		kk += j;
/* L60: */
	    }
	} else {
	    jx = kx;
	    jy = ky;
	    i__1 = *n;
	    for (j = 1; j <= i__1; ++j) {
		temp1 = *alpha * x[jx];
		temp2 = 0.;
		ix = kx;
		iy = ky;
		i__2 = kk + j - 2;
		for (k = kk; k <= i__2; ++k) {
		    y[iy] += temp1 * ap[k];
		    temp2 += ap[k] * x[ix];
		    ix += *incx;
		    iy += *incy;
/* L70: */
		}
		y[jy] = y[jy] + temp1 * ap[kk + j - 1] + *alpha * temp2;
		jx += *incx;
		jy += *incy;
		kk += j;
/* L80: */
	    }
	}
    } else {

/*        Form  y  when AP contains the lower triangle. */

	if (*incx == 1 && *incy == 1) {
	    i__1 = *n;
	    for (j = 1; j <= i__1; ++j) {
		temp1 = *alpha * x[j];
		temp2 = 0.;
		y[j] += temp1 * ap[kk];
		k = kk + 1;
		i__2 = *n;
		for (i__ = j + 1; i__ <= i__2; ++i__) {
		    y[i__] += temp1 * ap[k];
		    temp2 += ap[k] * x[i__];
		    ++k;
/* L90: */
		}
		y[j] += *alpha * temp2;
		kk += *n - j + 1;
/* L100: */
	    }
	} else {
	    jx = kx;
	    jy = ky;
	    i__1 = *n;
	    for (j = 1; j <= i__1; ++j) {
		temp1 = *alpha * x[jx];
		temp2 = 0.;
		y[jy] += temp1 * ap[kk];
		ix = jx;
		iy = jy;
		i__2 = kk + *n - j;
		for (k = kk + 1; k <= i__2; ++k) {
		    ix += *incx;
		    iy += *incy;
		    y[iy] += temp1 * ap[k];
		    temp2 += ap[k] * x[ix];
/* L110: */
		}
		y[jy] += *alpha * temp2;
		jx += *incx;
		jy += *incy;
		kk += *n - j + 1;
/* L120: */
	    }
	}
    }

    return 0;

/*     End of DSPMV . */

} /* dspmv_ */

/* sspmv.f -- translated by f2c (version 19991025).
   You must link the resulting object file with the libraries:
	-lf2c -lm   (in that order)
*/

/* Subroutine */ int PASTEF77(s,spmv)(const bla_character *uplo, const bla_integer *n, const bla_real *alpha, const bla_real *ap, const bla_real *x, const bla_integer *incx, const bla_real *beta, bla_real *y, const bla_integer *incy)
{
    /* System generated locals */
    bla_integer i__1, i__2;

    /* Local variables */
    bla_integer info;
    bla_real temp1, temp2;
    bla_integer i__, j, k;
    //extern bla_logical PASTEF77(lsame)(bla_character *, bla_character *, ftnlen, ftnlen);
    bla_integer kk, ix, iy, jx, jy, kx, ky;
    //extern /* Subroutine */ int PASTEF77(xerbla)(bla_character *, bla_integer *, ftnlen);

/*     .. Scalar Arguments .. */
/*     .. Array Arguments .. */
/*     .. */

/*  Purpose */
/*  ======= */

/*  SSPMV  performs the matrix-vector operation */

/*     y := alpha*A*x + beta*y, */

/*  where alpha and beta are scalars, x and y are n element vectors and */
/*  A is an n by n symmetric matrix, supplied in packed form. */

/*  Parameters */
/*  ========== */

/*  UPLO   - CHARACTER*1. */
/*           On entry, UPLO specifies whether the upper or lower */
/*           triangular part of the matrix A is supplied in the packed */
/*           array AP as follows: */

/*              UPLO = 'U' or 'u'   The upper triangular part of A is */
/*                                  supplied in AP. */

/*              UPLO = 'L' or 'l'   The lower triangular part of A is */
/*                                  supplied in AP. */

/*           Unchanged on exit. */

/*  N      - INTEGER. */
/*           On entry, N specifies the order of the matrix A. */
/*           N must be at least zero. */
/*           Unchanged on exit. */

/*  ALPHA  - REAL            . */
/*           On entry, ALPHA specifies the scalar alpha. */
/*           Unchanged on exit. */

/*  AP     - REAL             array of DIMENSION at least */
/*           ( ( n*( n + 1 ) )/2 ). */
/*           Before entry with UPLO = 'U' or 'u', the array AP must */
/*           contain the upper triangular part of the symmetric matrix */
/*           packed sequentially, column by column, so that AP( 1 ) */
/*           contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 ) */
/*           and a( 2, 2 ) respectively, and so on. */
/*           Before entry with UPLO = 'L' or 'l', the array AP must */
/*           contain the lower triangular part of the symmetric matrix */
/*           packed sequentially, column by column, so that AP( 1 ) */
/*           contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 ) */
/*           and a( 3, 1 ) respectively, and so on. */
/*           Unchanged on exit. */

/*  X      - REAL             array of dimension at least */
/*           ( 1 + ( n - 1 )*abs( INCX ) ). */
/*           Before entry, the incremented array X must contain the n */
/*           element vector x. */
/*           Unchanged on exit. */

/*  INCX   - INTEGER. */
/*           On entry, INCX specifies the increment for the elements of */
/*           X. INCX must not be zero. */
/*           Unchanged on exit. */

/*  BETA   - REAL            . */
/*           On entry, BETA specifies the scalar beta. When BETA is */
/*           supplied as zero then Y need not be set on input. */
/*           Unchanged on exit. */

/*  Y      - REAL             array of dimension at least */
/*           ( 1 + ( n - 1 )*abs( INCY ) ). */
/*           Before entry, the incremented array Y must contain the n */
/*           element vector y. On exit, Y is overwritten by the updated */
/*           vector y. */

/*  INCY   - INTEGER. */
/*           On entry, INCY specifies the increment for the elements of */
/*           Y. INCY must not be zero. */
/*           Unchanged on exit. */


/*  Level 2 Blas routine. */

/*  -- Written on 22-October-1986. */
/*     Jack Dongarra, Argonne National Lab. */
/*     Jeremy Du Croz, Nag Central Office. */
/*     Sven Hammarling, Nag Central Office. */
/*     Richard Hanson, Sandia National Labs. */


/*     .. Parameters .. */
/*     .. Local Scalars .. */
/*     .. External Functions .. */
/*     .. External Subroutines .. */
/*     .. */
/*     .. Executable Statements .. */

/*     Test the input parameters. */

    /* Parameter adjustments */
    --y;
    --x;
    --ap;

    /* Function Body */
    info = 0;
    if (! PASTEF77(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1) && ! PASTEF77(lsame)(uplo, "L", (
	    ftnlen)1, (ftnlen)1)) {
	info = 1;
    } else if (*n < 0) {
	info = 2;
    } else if (*incx == 0) {
	info = 6;
    } else if (*incy == 0) {
	info = 9;
    }
    if (info != 0) {
	PASTEF77(xerbla)("SSPMV ", &info, (ftnlen)6);
	return 0;
    }

/*     Quick return if possible. */

    if (*n == 0 || (*alpha == 0.f && *beta == 1.f)) {
	return 0;
    }

/*     Set up the start points in  X  and  Y. */

    if (*incx > 0) {
	kx = 1;
    } else {
	kx = 1 - (*n - 1) * *incx;
    }
    if (*incy > 0) {
	ky = 1;
    } else {
	ky = 1 - (*n - 1) * *incy;
    }

/*     Start the operations. In this version the elements of the array AP */
/*     are accessed sequentially with one pass through AP. */

/*     First form  y := beta*y. */

    if (*beta != 1.f) {
	if (*incy == 1) {
	    if (*beta == 0.f) {
		i__1 = *n;
		for (i__ = 1; i__ <= i__1; ++i__) {
		    y[i__] = 0.f;
/* L10: */
		}
	    } else {
		i__1 = *n;
		for (i__ = 1; i__ <= i__1; ++i__) {
		    y[i__] = *beta * y[i__];
/* L20: */
		}
	    }
	} else {
	    iy = ky;
	    if (*beta == 0.f) {
		i__1 = *n;
		for (i__ = 1; i__ <= i__1; ++i__) {
		    y[iy] = 0.f;
		    iy += *incy;
/* L30: */
		}
	    } else {
		i__1 = *n;
		for (i__ = 1; i__ <= i__1; ++i__) {
		    y[iy] = *beta * y[iy];
		    iy += *incy;
/* L40: */
		}
	    }
	}
    }
    if (*alpha == 0.f) {
	return 0;
    }
    kk = 1;
    if (PASTEF77(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1)) {

/*        Form  y  when AP contains the upper triangle. */

	if (*incx == 1 && *incy == 1) {
	    i__1 = *n;
	    for (j = 1; j <= i__1; ++j) {
		temp1 = *alpha * x[j];
		temp2 = 0.f;
		k = kk;
		i__2 = j - 1;
		for (i__ = 1; i__ <= i__2; ++i__) {
		    y[i__] += temp1 * ap[k];
		    temp2 += ap[k] * x[i__];
		    ++k;
/* L50: */
		}
		y[j] = y[j] + temp1 * ap[kk + j - 1] + *alpha * temp2;
		kk += j;
/* L60: */
	    }
	} else {
	    jx = kx;
	    jy = ky;
	    i__1 = *n;
	    for (j = 1; j <= i__1; ++j) {
		temp1 = *alpha * x[jx];
		temp2 = 0.f;
		ix = kx;
		iy = ky;
		i__2 = kk + j - 2;
		for (k = kk; k <= i__2; ++k) {
		    y[iy] += temp1 * ap[k];
		    temp2 += ap[k] * x[ix];
		    ix += *incx;
		    iy += *incy;
/* L70: */
		}
		y[jy] = y[jy] + temp1 * ap[kk + j - 1] + *alpha * temp2;
		jx += *incx;
		jy += *incy;
		kk += j;
/* L80: */
	    }
	}
    } else {

/*        Form  y  when AP contains the lower triangle. */

	if (*incx == 1 && *incy == 1) {
	    i__1 = *n;
	    for (j = 1; j <= i__1; ++j) {
		temp1 = *alpha * x[j];
		temp2 = 0.f;
		y[j] += temp1 * ap[kk];
		k = kk + 1;
		i__2 = *n;
		for (i__ = j + 1; i__ <= i__2; ++i__) {
		    y[i__] += temp1 * ap[k];
		    temp2 += ap[k] * x[i__];
		    ++k;
/* L90: */
		}
		y[j] += *alpha * temp2;
		kk += *n - j + 1;
/* L100: */
	    }
	} else {
	    jx = kx;
	    jy = ky;
	    i__1 = *n;
	    for (j = 1; j <= i__1; ++j) {
		temp1 = *alpha * x[jx];
		temp2 = 0.f;
		y[jy] += temp1 * ap[kk];
		ix = jx;
		iy = jy;
		i__2 = kk + *n - j;
		for (k = kk + 1; k <= i__2; ++k) {
		    ix += *incx;
		    iy += *incy;
		    y[iy] += temp1 * ap[k];
		    temp2 += ap[k] * x[ix];
/* L110: */
		}
		y[jy] += *alpha * temp2;
		jx += *incx;
		jy += *incy;
		kk += *n - j + 1;
/* L120: */
	    }
	}
    }

    return 0;

/*     End of SSPMV . */

} /* sspmv_ */

#endif

