Replaced banded/packed BLAS2 stubs with f2c code.

Details:
- Retired the blas2blis wrappers that simply called abort with a "not yet
  implemented" message. This includes all of the level-2 banded and packed
  routines.
- Replaced the aforementioned with the corresponding netlib implementations
  having been run through f2c (with some customization).
- Added directories named 'attic' to build/gen-make-frags/ignore_list.
This commit is contained in:
Field G. Van Zee
2013-02-22 18:15:41 -06:00
parent 1454c1a142
commit f24e29b789
49 changed files with 15918 additions and 14 deletions

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@@ -1,3 +1,4 @@
attic
broken
old
other

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@@ -65,22 +65,22 @@
// packed
#include "bla_hpmv.h"
#include "bla_hpr.h"
#include "bla_hpr2.h"
#include "bla_spmv.h"
#include "bla_spr.h"
#include "bla_spr2.h"
#include "bla_tpmv.h"
#include "bla_tpsv.h"
//#include "bla_hpmv.h"
//#include "bla_hpr.h"
//#include "bla_hpr2.h"
//#include "bla_spmv.h"
//#include "bla_spr.h"
//#include "bla_spr2.h"
//#include "bla_tpmv.h"
//#include "bla_tpsv.h"
// banded
#include "bla_gbmv.h"
#include "bla_hbmv.h"
#include "bla_sbmv.h"
#include "bla_tbmv.h"
#include "bla_tbsv.h"
//#include "bla_gbmv.h"
//#include "bla_hbmv.h"
//#include "bla_sbmv.h"
//#include "bla_tbmv.h"
//#include "bla_tbsv.h"
// -- Level-3 BLAS --

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frame/compat/f2c/bla_gbmv.c Normal file

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986
frame/compat/f2c/bla_hbmv.c Normal file
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@@ -0,0 +1,986 @@
/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2013, The University of Texas
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 of The University of Texas 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 "blis2.h"
#ifdef BLIS_ENABLE_BLAS2BLIS
#include "bl2_f2c.h"
/* chbmv.f -- translated by f2c (version 19991025).
You must link the resulting object file with the libraries:
-lf2c -lm (in that order)
*/
/* Subroutine */ int PASTEF77(c,hbmv)(char *uplo, integer *n, integer *k, complex *
alpha, complex *a, integer *lda, complex *x, integer *incx, complex *
beta, complex *y, integer *incy)
{
/* System generated locals */
integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5;
real r__1;
complex q__1, q__2, q__3, q__4;
/* Builtin functions */
void r_cnjg(complex *, complex *);
/* Local variables */
integer info;
complex temp1, temp2;
integer i__, j, l;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer kplus1, ix, iy, jx, jy, kx, ky;
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* CHBMV 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 hermitian band matrix, with k super-diagonals. */
/* Parameters */
/* ========== */
/* UPLO - CHARACTER*1. */
/* On entry, UPLO specifies whether the upper or lower */
/* triangular part of the band matrix A is being supplied as */
/* follows: */
/* UPLO = 'U' or 'u' The upper triangular part of A is */
/* being supplied. */
/* UPLO = 'L' or 'l' The lower triangular part of A is */
/* being supplied. */
/* Unchanged on exit. */
/* N - INTEGER. */
/* On entry, N specifies the order of the matrix A. */
/* N must be at least zero. */
/* Unchanged on exit. */
/* K - INTEGER. */
/* On entry, K specifies the number of super-diagonals of the */
/* matrix A. K must satisfy 0 .le. K. */
/* Unchanged on exit. */
/* ALPHA - COMPLEX . */
/* On entry, ALPHA specifies the scalar alpha. */
/* Unchanged on exit. */
/* A - COMPLEX array of DIMENSION ( LDA, n ). */
/* Before entry with UPLO = 'U' or 'u', the leading ( k + 1 ) */
/* by n part of the array A must contain the upper triangular */
/* band part of the hermitian matrix, supplied column by */
/* column, with the leading diagonal of the matrix in row */
/* ( k + 1 ) of the array, the first super-diagonal starting at */
/* position 2 in row k, and so on. The top left k by k triangle */
/* of the array A is not referenced. */
/* The following program segment will transfer the upper */
/* triangular part of a hermitian band matrix from conventional */
/* full matrix storage to band storage: */
/* DO 20, J = 1, N */
/* M = K + 1 - J */
/* DO 10, I = MAX( 1, J - K ), J */
/* A( M + I, J ) = matrix( I, J ) */
/* 10 CONTINUE */
/* 20 CONTINUE */
/* Before entry with UPLO = 'L' or 'l', the leading ( k + 1 ) */
/* by n part of the array A must contain the lower triangular */
/* band part of the hermitian matrix, supplied column by */
/* column, with the leading diagonal of the matrix in row 1 of */
/* the array, the first sub-diagonal starting at position 1 in */
/* row 2, and so on. The bottom right k by k triangle of the */
/* array A is not referenced. */
/* The following program segment will transfer the lower */
/* triangular part of a hermitian band matrix from conventional */
/* full matrix storage to band storage: */
/* DO 20, J = 1, N */
/* M = 1 - J */
/* DO 10, I = J, MIN( N, J + K ) */
/* A( M + I, J ) = matrix( I, J ) */
/* 10 CONTINUE */
/* 20 CONTINUE */
/* Note that the imaginary parts of the diagonal elements need */
/* not be set and are assumed to be zero. */
/* Unchanged on exit. */
/* LDA - INTEGER. */
/* On entry, LDA specifies the first dimension of A as declared */
/* in the calling (sub) program. LDA must be at least */
/* ( k + 1 ). */
/* Unchanged on exit. */
/* X - COMPLEX array of DIMENSION at least */
/* ( 1 + ( n - 1 )*abs( INCX ) ). */
/* Before entry, the incremented array X must contain the */
/* 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 - COMPLEX . */
/* On entry, BETA specifies the scalar beta. */
/* Unchanged on exit. */
/* Y - COMPLEX array of DIMENSION at least */
/* ( 1 + ( n - 1 )*abs( INCY ) ). */
/* Before entry, the incremented array Y must contain the */
/* 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 .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/* Parameter adjustments */
a_dim1 = *lda;
a_offset = 1 + a_dim1 * 1;
a -= a_offset;
--x;
--y;
/* Function Body */
info = 0;
if (! lsame_(uplo, "U", (ftnlen)1, (ftnlen)1) && ! lsame_(uplo, "L", (
ftnlen)1, (ftnlen)1)) {
info = 1;
} else if (*n < 0) {
info = 2;
} else if (*k < 0) {
info = 3;
} else if (*lda < *k + 1) {
info = 6;
} else if (*incx == 0) {
info = 8;
} else if (*incy == 0) {
info = 11;
}
if (info != 0) {
xerbla_("CHBMV ", &info, (ftnlen)6);
return 0;
}
/* Quick return if possible. */
if (*n == 0 || (alpha->r == 0.f && alpha->i == 0.f && (beta->r == 1.f &&
beta->i == 0.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 A */
/* are accessed sequentially with one pass through A. */
/* First form y := beta*y. */
if (beta->r != 1.f || beta->i != 0.f) {
if (*incy == 1) {
if (beta->r == 0.f && beta->i == 0.f) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__;
y[i__2].r = 0.f, y[i__2].i = 0.f;
/* L10: */
}
} else {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__;
i__3 = i__;
q__1.r = beta->r * y[i__3].r - beta->i * y[i__3].i,
q__1.i = beta->r * y[i__3].i + beta->i * y[i__3]
.r;
y[i__2].r = q__1.r, y[i__2].i = q__1.i;
/* L20: */
}
}
} else {
iy = ky;
if (beta->r == 0.f && beta->i == 0.f) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = iy;
y[i__2].r = 0.f, y[i__2].i = 0.f;
iy += *incy;
/* L30: */
}
} else {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = iy;
i__3 = iy;
q__1.r = beta->r * y[i__3].r - beta->i * y[i__3].i,
q__1.i = beta->r * y[i__3].i + beta->i * y[i__3]
.r;
y[i__2].r = q__1.r, y[i__2].i = q__1.i;
iy += *incy;
/* L40: */
}
}
}
}
if (alpha->r == 0.f && alpha->i == 0.f) {
return 0;
}
if (lsame_(uplo, "U", (ftnlen)1, (ftnlen)1)) {
/* Form y when upper triangle of A is stored. */
kplus1 = *k + 1;
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
q__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, q__1.i =
alpha->r * x[i__2].i + alpha->i * x[i__2].r;
temp1.r = q__1.r, temp1.i = q__1.i;
temp2.r = 0.f, temp2.i = 0.f;
l = kplus1 - j;
/* Computing MAX */
i__2 = 1, i__3 = j - *k;
i__4 = j - 1;
for (i__ = max(i__2,i__3); i__ <= i__4; ++i__) {
i__2 = i__;
i__3 = i__;
i__5 = l + i__ + j * a_dim1;
q__2.r = temp1.r * a[i__5].r - temp1.i * a[i__5].i,
q__2.i = temp1.r * a[i__5].i + temp1.i * a[i__5]
.r;
q__1.r = y[i__3].r + q__2.r, q__1.i = y[i__3].i + q__2.i;
y[i__2].r = q__1.r, y[i__2].i = q__1.i;
r_cnjg(&q__3, &a[l + i__ + j * a_dim1]);
i__2 = i__;
q__2.r = q__3.r * x[i__2].r - q__3.i * x[i__2].i, q__2.i =
q__3.r * x[i__2].i + q__3.i * x[i__2].r;
q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
temp2.r = q__1.r, temp2.i = q__1.i;
/* L50: */
}
i__4 = j;
i__2 = j;
i__3 = kplus1 + j * a_dim1;
r__1 = a[i__3].r;
q__3.r = r__1 * temp1.r, q__3.i = r__1 * temp1.i;
q__2.r = y[i__2].r + q__3.r, q__2.i = y[i__2].i + q__3.i;
q__4.r = alpha->r * temp2.r - alpha->i * temp2.i, q__4.i =
alpha->r * temp2.i + alpha->i * temp2.r;
q__1.r = q__2.r + q__4.r, q__1.i = q__2.i + q__4.i;
y[i__4].r = q__1.r, y[i__4].i = q__1.i;
/* L60: */
}
} else {
jx = kx;
jy = ky;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__4 = jx;
q__1.r = alpha->r * x[i__4].r - alpha->i * x[i__4].i, q__1.i =
alpha->r * x[i__4].i + alpha->i * x[i__4].r;
temp1.r = q__1.r, temp1.i = q__1.i;
temp2.r = 0.f, temp2.i = 0.f;
ix = kx;
iy = ky;
l = kplus1 - j;
/* Computing MAX */
i__4 = 1, i__2 = j - *k;
i__3 = j - 1;
for (i__ = max(i__4,i__2); i__ <= i__3; ++i__) {
i__4 = iy;
i__2 = iy;
i__5 = l + i__ + j * a_dim1;
q__2.r = temp1.r * a[i__5].r - temp1.i * a[i__5].i,
q__2.i = temp1.r * a[i__5].i + temp1.i * a[i__5]
.r;
q__1.r = y[i__2].r + q__2.r, q__1.i = y[i__2].i + q__2.i;
y[i__4].r = q__1.r, y[i__4].i = q__1.i;
r_cnjg(&q__3, &a[l + i__ + j * a_dim1]);
i__4 = ix;
q__2.r = q__3.r * x[i__4].r - q__3.i * x[i__4].i, q__2.i =
q__3.r * x[i__4].i + q__3.i * x[i__4].r;
q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
temp2.r = q__1.r, temp2.i = q__1.i;
ix += *incx;
iy += *incy;
/* L70: */
}
i__3 = jy;
i__4 = jy;
i__2 = kplus1 + j * a_dim1;
r__1 = a[i__2].r;
q__3.r = r__1 * temp1.r, q__3.i = r__1 * temp1.i;
q__2.r = y[i__4].r + q__3.r, q__2.i = y[i__4].i + q__3.i;
q__4.r = alpha->r * temp2.r - alpha->i * temp2.i, q__4.i =
alpha->r * temp2.i + alpha->i * temp2.r;
q__1.r = q__2.r + q__4.r, q__1.i = q__2.i + q__4.i;
y[i__3].r = q__1.r, y[i__3].i = q__1.i;
jx += *incx;
jy += *incy;
if (j > *k) {
kx += *incx;
ky += *incy;
}
/* L80: */
}
}
} else {
/* Form y when lower triangle of A is stored. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__3 = j;
q__1.r = alpha->r * x[i__3].r - alpha->i * x[i__3].i, q__1.i =
alpha->r * x[i__3].i + alpha->i * x[i__3].r;
temp1.r = q__1.r, temp1.i = q__1.i;
temp2.r = 0.f, temp2.i = 0.f;
i__3 = j;
i__4 = j;
i__2 = j * a_dim1 + 1;
r__1 = a[i__2].r;
q__2.r = r__1 * temp1.r, q__2.i = r__1 * temp1.i;
q__1.r = y[i__4].r + q__2.r, q__1.i = y[i__4].i + q__2.i;
y[i__3].r = q__1.r, y[i__3].i = q__1.i;
l = 1 - j;
/* Computing MIN */
i__4 = *n, i__2 = j + *k;
i__3 = min(i__4,i__2);
for (i__ = j + 1; i__ <= i__3; ++i__) {
i__4 = i__;
i__2 = i__;
i__5 = l + i__ + j * a_dim1;
q__2.r = temp1.r * a[i__5].r - temp1.i * a[i__5].i,
q__2.i = temp1.r * a[i__5].i + temp1.i * a[i__5]
.r;
q__1.r = y[i__2].r + q__2.r, q__1.i = y[i__2].i + q__2.i;
y[i__4].r = q__1.r, y[i__4].i = q__1.i;
r_cnjg(&q__3, &a[l + i__ + j * a_dim1]);
i__4 = i__;
q__2.r = q__3.r * x[i__4].r - q__3.i * x[i__4].i, q__2.i =
q__3.r * x[i__4].i + q__3.i * x[i__4].r;
q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
temp2.r = q__1.r, temp2.i = q__1.i;
/* L90: */
}
i__3 = j;
i__4 = j;
q__2.r = alpha->r * temp2.r - alpha->i * temp2.i, q__2.i =
alpha->r * temp2.i + alpha->i * temp2.r;
q__1.r = y[i__4].r + q__2.r, q__1.i = y[i__4].i + q__2.i;
y[i__3].r = q__1.r, y[i__3].i = q__1.i;
/* L100: */
}
} else {
jx = kx;
jy = ky;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__3 = jx;
q__1.r = alpha->r * x[i__3].r - alpha->i * x[i__3].i, q__1.i =
alpha->r * x[i__3].i + alpha->i * x[i__3].r;
temp1.r = q__1.r, temp1.i = q__1.i;
temp2.r = 0.f, temp2.i = 0.f;
i__3 = jy;
i__4 = jy;
i__2 = j * a_dim1 + 1;
r__1 = a[i__2].r;
q__2.r = r__1 * temp1.r, q__2.i = r__1 * temp1.i;
q__1.r = y[i__4].r + q__2.r, q__1.i = y[i__4].i + q__2.i;
y[i__3].r = q__1.r, y[i__3].i = q__1.i;
l = 1 - j;
ix = jx;
iy = jy;
/* Computing MIN */
i__4 = *n, i__2 = j + *k;
i__3 = min(i__4,i__2);
for (i__ = j + 1; i__ <= i__3; ++i__) {
ix += *incx;
iy += *incy;
i__4 = iy;
i__2 = iy;
i__5 = l + i__ + j * a_dim1;
q__2.r = temp1.r * a[i__5].r - temp1.i * a[i__5].i,
q__2.i = temp1.r * a[i__5].i + temp1.i * a[i__5]
.r;
q__1.r = y[i__2].r + q__2.r, q__1.i = y[i__2].i + q__2.i;
y[i__4].r = q__1.r, y[i__4].i = q__1.i;
r_cnjg(&q__3, &a[l + i__ + j * a_dim1]);
i__4 = ix;
q__2.r = q__3.r * x[i__4].r - q__3.i * x[i__4].i, q__2.i =
q__3.r * x[i__4].i + q__3.i * x[i__4].r;
q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
temp2.r = q__1.r, temp2.i = q__1.i;
/* L110: */
}
i__3 = jy;
i__4 = jy;
q__2.r = alpha->r * temp2.r - alpha->i * temp2.i, q__2.i =
alpha->r * temp2.i + alpha->i * temp2.r;
q__1.r = y[i__4].r + q__2.r, q__1.i = y[i__4].i + q__2.i;
y[i__3].r = q__1.r, y[i__3].i = q__1.i;
jx += *incx;
jy += *incy;
/* L120: */
}
}
}
return 0;
/* End of CHBMV . */
} /* chbmv_ */
/* zhbmv.f -- translated by f2c (version 19991025).
You must link the resulting object file with the libraries:
-lf2c -lm (in that order)
*/
/* Subroutine */ int PASTEF77(z,hbmv)(char *uplo, integer *n, integer *k, doublecomplex
*alpha, doublecomplex *a, integer *lda, doublecomplex *x, integer *
incx, doublecomplex *beta, doublecomplex *y, integer *incy)
{
/* System generated locals */
integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5;
doublereal d__1;
doublecomplex z__1, z__2, z__3, z__4;
/* Builtin functions */
void d_cnjg(doublecomplex *, doublecomplex *);
/* Local variables */
integer info;
doublecomplex temp1, temp2;
integer i__, j, l;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer kplus1, ix, iy, jx, jy, kx, ky;
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* ZHBMV 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 hermitian band matrix, with k super-diagonals. */
/* Parameters */
/* ========== */
/* UPLO - CHARACTER*1. */
/* On entry, UPLO specifies whether the upper or lower */
/* triangular part of the band matrix A is being supplied as */
/* follows: */
/* UPLO = 'U' or 'u' The upper triangular part of A is */
/* being supplied. */
/* UPLO = 'L' or 'l' The lower triangular part of A is */
/* being supplied. */
/* Unchanged on exit. */
/* N - INTEGER. */
/* On entry, N specifies the order of the matrix A. */
/* N must be at least zero. */
/* Unchanged on exit. */
/* K - INTEGER. */
/* On entry, K specifies the number of super-diagonals of the */
/* matrix A. K must satisfy 0 .le. K. */
/* Unchanged on exit. */
/* ALPHA - COMPLEX*16 . */
/* On entry, ALPHA specifies the scalar alpha. */
/* Unchanged on exit. */
/* A - COMPLEX*16 array of DIMENSION ( LDA, n ). */
/* Before entry with UPLO = 'U' or 'u', the leading ( k + 1 ) */
/* by n part of the array A must contain the upper triangular */
/* band part of the hermitian matrix, supplied column by */
/* column, with the leading diagonal of the matrix in row */
/* ( k + 1 ) of the array, the first super-diagonal starting at */
/* position 2 in row k, and so on. The top left k by k triangle */
/* of the array A is not referenced. */
/* The following program segment will transfer the upper */
/* triangular part of a hermitian band matrix from conventional */
/* full matrix storage to band storage: */
/* DO 20, J = 1, N */
/* M = K + 1 - J */
/* DO 10, I = MAX( 1, J - K ), J */
/* A( M + I, J ) = matrix( I, J ) */
/* 10 CONTINUE */
/* 20 CONTINUE */
/* Before entry with UPLO = 'L' or 'l', the leading ( k + 1 ) */
/* by n part of the array A must contain the lower triangular */
/* band part of the hermitian matrix, supplied column by */
/* column, with the leading diagonal of the matrix in row 1 of */
/* the array, the first sub-diagonal starting at position 1 in */
/* row 2, and so on. The bottom right k by k triangle of the */
/* array A is not referenced. */
/* The following program segment will transfer the lower */
/* triangular part of a hermitian band matrix from conventional */
/* full matrix storage to band storage: */
/* DO 20, J = 1, N */
/* M = 1 - J */
/* DO 10, I = J, MIN( N, J + K ) */
/* A( M + I, J ) = matrix( I, J ) */
/* 10 CONTINUE */
/* 20 CONTINUE */
/* Note that the imaginary parts of the diagonal elements need */
/* not be set and are assumed to be zero. */
/* Unchanged on exit. */
/* LDA - INTEGER. */
/* On entry, LDA specifies the first dimension of A as declared */
/* in the calling (sub) program. LDA must be at least */
/* ( k + 1 ). */
/* Unchanged on exit. */
/* X - COMPLEX*16 array of DIMENSION at least */
/* ( 1 + ( n - 1 )*abs( INCX ) ). */
/* Before entry, the incremented array X must contain the */
/* 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 - COMPLEX*16 . */
/* On entry, BETA specifies the scalar beta. */
/* Unchanged on exit. */
/* Y - COMPLEX*16 array of DIMENSION at least */
/* ( 1 + ( n - 1 )*abs( INCY ) ). */
/* Before entry, the incremented array Y must contain the */
/* 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 .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/* Parameter adjustments */
a_dim1 = *lda;
a_offset = 1 + a_dim1 * 1;
a -= a_offset;
--x;
--y;
/* Function Body */
info = 0;
if (! lsame_(uplo, "U", (ftnlen)1, (ftnlen)1) && ! lsame_(uplo, "L", (
ftnlen)1, (ftnlen)1)) {
info = 1;
} else if (*n < 0) {
info = 2;
} else if (*k < 0) {
info = 3;
} else if (*lda < *k + 1) {
info = 6;
} else if (*incx == 0) {
info = 8;
} else if (*incy == 0) {
info = 11;
}
if (info != 0) {
xerbla_("ZHBMV ", &info, (ftnlen)6);
return 0;
}
/* Quick return if possible. */
if (*n == 0 || (alpha->r == 0. && alpha->i == 0. && (beta->r == 1. &&
beta->i == 0.))) {
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 A */
/* are accessed sequentially with one pass through A. */
/* First form y := beta*y. */
if (beta->r != 1. || beta->i != 0.) {
if (*incy == 1) {
if (beta->r == 0. && beta->i == 0.) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__;
y[i__2].r = 0., y[i__2].i = 0.;
/* L10: */
}
} else {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__;
i__3 = i__;
z__1.r = beta->r * y[i__3].r - beta->i * y[i__3].i,
z__1.i = beta->r * y[i__3].i + beta->i * y[i__3]
.r;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
/* L20: */
}
}
} else {
iy = ky;
if (beta->r == 0. && beta->i == 0.) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = iy;
y[i__2].r = 0., y[i__2].i = 0.;
iy += *incy;
/* L30: */
}
} else {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = iy;
i__3 = iy;
z__1.r = beta->r * y[i__3].r - beta->i * y[i__3].i,
z__1.i = beta->r * y[i__3].i + beta->i * y[i__3]
.r;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
iy += *incy;
/* L40: */
}
}
}
}
if (alpha->r == 0. && alpha->i == 0.) {
return 0;
}
if (lsame_(uplo, "U", (ftnlen)1, (ftnlen)1)) {
/* Form y when upper triangle of A is stored. */
kplus1 = *k + 1;
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
z__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, z__1.i =
alpha->r * x[i__2].i + alpha->i * x[i__2].r;
temp1.r = z__1.r, temp1.i = z__1.i;
temp2.r = 0., temp2.i = 0.;
l = kplus1 - j;
/* Computing MAX */
i__2 = 1, i__3 = j - *k;
i__4 = j - 1;
for (i__ = max(i__2,i__3); i__ <= i__4; ++i__) {
i__2 = i__;
i__3 = i__;
i__5 = l + i__ + j * a_dim1;
z__2.r = temp1.r * a[i__5].r - temp1.i * a[i__5].i,
z__2.i = temp1.r * a[i__5].i + temp1.i * a[i__5]
.r;
z__1.r = y[i__3].r + z__2.r, z__1.i = y[i__3].i + z__2.i;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
d_cnjg(&z__3, &a[l + i__ + j * a_dim1]);
i__2 = i__;
z__2.r = z__3.r * x[i__2].r - z__3.i * x[i__2].i, z__2.i =
z__3.r * x[i__2].i + z__3.i * x[i__2].r;
z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
temp2.r = z__1.r, temp2.i = z__1.i;
/* L50: */
}
i__4 = j;
i__2 = j;
i__3 = kplus1 + j * a_dim1;
d__1 = a[i__3].r;
z__3.r = d__1 * temp1.r, z__3.i = d__1 * temp1.i;
z__2.r = y[i__2].r + z__3.r, z__2.i = y[i__2].i + z__3.i;
z__4.r = alpha->r * temp2.r - alpha->i * temp2.i, z__4.i =
alpha->r * temp2.i + alpha->i * temp2.r;
z__1.r = z__2.r + z__4.r, z__1.i = z__2.i + z__4.i;
y[i__4].r = z__1.r, y[i__4].i = z__1.i;
/* L60: */
}
} else {
jx = kx;
jy = ky;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__4 = jx;
z__1.r = alpha->r * x[i__4].r - alpha->i * x[i__4].i, z__1.i =
alpha->r * x[i__4].i + alpha->i * x[i__4].r;
temp1.r = z__1.r, temp1.i = z__1.i;
temp2.r = 0., temp2.i = 0.;
ix = kx;
iy = ky;
l = kplus1 - j;
/* Computing MAX */
i__4 = 1, i__2 = j - *k;
i__3 = j - 1;
for (i__ = max(i__4,i__2); i__ <= i__3; ++i__) {
i__4 = iy;
i__2 = iy;
i__5 = l + i__ + j * a_dim1;
z__2.r = temp1.r * a[i__5].r - temp1.i * a[i__5].i,
z__2.i = temp1.r * a[i__5].i + temp1.i * a[i__5]
.r;
z__1.r = y[i__2].r + z__2.r, z__1.i = y[i__2].i + z__2.i;
y[i__4].r = z__1.r, y[i__4].i = z__1.i;
d_cnjg(&z__3, &a[l + i__ + j * a_dim1]);
i__4 = ix;
z__2.r = z__3.r * x[i__4].r - z__3.i * x[i__4].i, z__2.i =
z__3.r * x[i__4].i + z__3.i * x[i__4].r;
z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
temp2.r = z__1.r, temp2.i = z__1.i;
ix += *incx;
iy += *incy;
/* L70: */
}
i__3 = jy;
i__4 = jy;
i__2 = kplus1 + j * a_dim1;
d__1 = a[i__2].r;
z__3.r = d__1 * temp1.r, z__3.i = d__1 * temp1.i;
z__2.r = y[i__4].r + z__3.r, z__2.i = y[i__4].i + z__3.i;
z__4.r = alpha->r * temp2.r - alpha->i * temp2.i, z__4.i =
alpha->r * temp2.i + alpha->i * temp2.r;
z__1.r = z__2.r + z__4.r, z__1.i = z__2.i + z__4.i;
y[i__3].r = z__1.r, y[i__3].i = z__1.i;
jx += *incx;
jy += *incy;
if (j > *k) {
kx += *incx;
ky += *incy;
}
/* L80: */
}
}
} else {
/* Form y when lower triangle of A is stored. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__3 = j;
z__1.r = alpha->r * x[i__3].r - alpha->i * x[i__3].i, z__1.i =
alpha->r * x[i__3].i + alpha->i * x[i__3].r;
temp1.r = z__1.r, temp1.i = z__1.i;
temp2.r = 0., temp2.i = 0.;
i__3 = j;
i__4 = j;
i__2 = j * a_dim1 + 1;
d__1 = a[i__2].r;
z__2.r = d__1 * temp1.r, z__2.i = d__1 * temp1.i;
z__1.r = y[i__4].r + z__2.r, z__1.i = y[i__4].i + z__2.i;
y[i__3].r = z__1.r, y[i__3].i = z__1.i;
l = 1 - j;
/* Computing MIN */
i__4 = *n, i__2 = j + *k;
i__3 = min(i__4,i__2);
for (i__ = j + 1; i__ <= i__3; ++i__) {
i__4 = i__;
i__2 = i__;
i__5 = l + i__ + j * a_dim1;
z__2.r = temp1.r * a[i__5].r - temp1.i * a[i__5].i,
z__2.i = temp1.r * a[i__5].i + temp1.i * a[i__5]
.r;
z__1.r = y[i__2].r + z__2.r, z__1.i = y[i__2].i + z__2.i;
y[i__4].r = z__1.r, y[i__4].i = z__1.i;
d_cnjg(&z__3, &a[l + i__ + j * a_dim1]);
i__4 = i__;
z__2.r = z__3.r * x[i__4].r - z__3.i * x[i__4].i, z__2.i =
z__3.r * x[i__4].i + z__3.i * x[i__4].r;
z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
temp2.r = z__1.r, temp2.i = z__1.i;
/* L90: */
}
i__3 = j;
i__4 = j;
z__2.r = alpha->r * temp2.r - alpha->i * temp2.i, z__2.i =
alpha->r * temp2.i + alpha->i * temp2.r;
z__1.r = y[i__4].r + z__2.r, z__1.i = y[i__4].i + z__2.i;
y[i__3].r = z__1.r, y[i__3].i = z__1.i;
/* L100: */
}
} else {
jx = kx;
jy = ky;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__3 = jx;
z__1.r = alpha->r * x[i__3].r - alpha->i * x[i__3].i, z__1.i =
alpha->r * x[i__3].i + alpha->i * x[i__3].r;
temp1.r = z__1.r, temp1.i = z__1.i;
temp2.r = 0., temp2.i = 0.;
i__3 = jy;
i__4 = jy;
i__2 = j * a_dim1 + 1;
d__1 = a[i__2].r;
z__2.r = d__1 * temp1.r, z__2.i = d__1 * temp1.i;
z__1.r = y[i__4].r + z__2.r, z__1.i = y[i__4].i + z__2.i;
y[i__3].r = z__1.r, y[i__3].i = z__1.i;
l = 1 - j;
ix = jx;
iy = jy;
/* Computing MIN */
i__4 = *n, i__2 = j + *k;
i__3 = min(i__4,i__2);
for (i__ = j + 1; i__ <= i__3; ++i__) {
ix += *incx;
iy += *incy;
i__4 = iy;
i__2 = iy;
i__5 = l + i__ + j * a_dim1;
z__2.r = temp1.r * a[i__5].r - temp1.i * a[i__5].i,
z__2.i = temp1.r * a[i__5].i + temp1.i * a[i__5]
.r;
z__1.r = y[i__2].r + z__2.r, z__1.i = y[i__2].i + z__2.i;
y[i__4].r = z__1.r, y[i__4].i = z__1.i;
d_cnjg(&z__3, &a[l + i__ + j * a_dim1]);
i__4 = ix;
z__2.r = z__3.r * x[i__4].r - z__3.i * x[i__4].i, z__2.i =
z__3.r * x[i__4].i + z__3.i * x[i__4].r;
z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
temp2.r = z__1.r, temp2.i = z__1.i;
/* L110: */
}
i__3 = jy;
i__4 = jy;
z__2.r = alpha->r * temp2.r - alpha->i * temp2.i, z__2.i =
alpha->r * temp2.i + alpha->i * temp2.r;
z__1.r = y[i__4].r + z__2.r, z__1.i = y[i__4].i + z__2.i;
y[i__3].r = z__1.r, y[i__3].i = z__1.i;
jx += *incx;
jy += *incy;
/* L120: */
}
}
}
return 0;
/* End of ZHBMV . */
} /* zhbmv_ */
#endif

890
frame/compat/f2c/bla_hpmv.c Normal file
View File

@@ -0,0 +1,890 @@
/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2013, The University of Texas
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 of The University of Texas 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 "blis2.h"
#ifdef BLIS_ENABLE_BLAS2BLIS
#include "bl2_f2c.h"
/* chpmv.f -- translated by f2c (version 19991025).
You must link the resulting object file with the libraries:
-lf2c -lm (in that order)
*/
/* Subroutine */ int PASTEF77(c,hpmv)(char *uplo, integer *n, complex *alpha, complex *
ap, complex *x, integer *incx, complex *beta, complex *y, integer *
incy)
{
/* System generated locals */
integer i__1, i__2, i__3, i__4, i__5;
real r__1;
complex q__1, q__2, q__3, q__4;
/* Builtin functions */
void r_cnjg(complex *, complex *);
/* Local variables */
integer info;
complex temp1, temp2;
integer i__, j, k;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer kk, ix, iy, jx, jy, kx, ky;
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* CHPMV 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 hermitian 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 - COMPLEX . */
/* On entry, ALPHA specifies the scalar alpha. */
/* Unchanged on exit. */
/* AP - COMPLEX 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 hermitian 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 hermitian 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. */
/* Note that the imaginary parts of the diagonal elements need */
/* not be set and are assumed to be zero. */
/* Unchanged on exit. */
/* X - COMPLEX 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 - COMPLEX . */
/* 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 - COMPLEX 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 .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/* Parameter adjustments */
--y;
--x;
--ap;
/* Function Body */
info = 0;
if (! lsame_(uplo, "U", (ftnlen)1, (ftnlen)1) && ! 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) {
xerbla_("CHPMV ", &info, (ftnlen)6);
return 0;
}
/* Quick return if possible. */
if (*n == 0 || (alpha->r == 0.f && alpha->i == 0.f && (beta->r == 1.f &&
beta->i == 0.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->r != 1.f || beta->i != 0.f) {
if (*incy == 1) {
if (beta->r == 0.f && beta->i == 0.f) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__;
y[i__2].r = 0.f, y[i__2].i = 0.f;
/* L10: */
}
} else {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__;
i__3 = i__;
q__1.r = beta->r * y[i__3].r - beta->i * y[i__3].i,
q__1.i = beta->r * y[i__3].i + beta->i * y[i__3]
.r;
y[i__2].r = q__1.r, y[i__2].i = q__1.i;
/* L20: */
}
}
} else {
iy = ky;
if (beta->r == 0.f && beta->i == 0.f) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = iy;
y[i__2].r = 0.f, y[i__2].i = 0.f;
iy += *incy;
/* L30: */
}
} else {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = iy;
i__3 = iy;
q__1.r = beta->r * y[i__3].r - beta->i * y[i__3].i,
q__1.i = beta->r * y[i__3].i + beta->i * y[i__3]
.r;
y[i__2].r = q__1.r, y[i__2].i = q__1.i;
iy += *incy;
/* L40: */
}
}
}
}
if (alpha->r == 0.f && alpha->i == 0.f) {
return 0;
}
kk = 1;
if (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) {
i__2 = j;
q__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, q__1.i =
alpha->r * x[i__2].i + alpha->i * x[i__2].r;
temp1.r = q__1.r, temp1.i = q__1.i;
temp2.r = 0.f, temp2.i = 0.f;
k = kk;
i__2 = j - 1;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__;
i__4 = i__;
i__5 = k;
q__2.r = temp1.r * ap[i__5].r - temp1.i * ap[i__5].i,
q__2.i = temp1.r * ap[i__5].i + temp1.i * ap[i__5]
.r;
q__1.r = y[i__4].r + q__2.r, q__1.i = y[i__4].i + q__2.i;
y[i__3].r = q__1.r, y[i__3].i = q__1.i;
r_cnjg(&q__3, &ap[k]);
i__3 = i__;
q__2.r = q__3.r * x[i__3].r - q__3.i * x[i__3].i, q__2.i =
q__3.r * x[i__3].i + q__3.i * x[i__3].r;
q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
temp2.r = q__1.r, temp2.i = q__1.i;
++k;
/* L50: */
}
i__2 = j;
i__3 = j;
i__4 = kk + j - 1;
r__1 = ap[i__4].r;
q__3.r = r__1 * temp1.r, q__3.i = r__1 * temp1.i;
q__2.r = y[i__3].r + q__3.r, q__2.i = y[i__3].i + q__3.i;
q__4.r = alpha->r * temp2.r - alpha->i * temp2.i, q__4.i =
alpha->r * temp2.i + alpha->i * temp2.r;
q__1.r = q__2.r + q__4.r, q__1.i = q__2.i + q__4.i;
y[i__2].r = q__1.r, y[i__2].i = q__1.i;
kk += j;
/* L60: */
}
} else {
jx = kx;
jy = ky;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = jx;
q__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, q__1.i =
alpha->r * x[i__2].i + alpha->i * x[i__2].r;
temp1.r = q__1.r, temp1.i = q__1.i;
temp2.r = 0.f, temp2.i = 0.f;
ix = kx;
iy = ky;
i__2 = kk + j - 2;
for (k = kk; k <= i__2; ++k) {
i__3 = iy;
i__4 = iy;
i__5 = k;
q__2.r = temp1.r * ap[i__5].r - temp1.i * ap[i__5].i,
q__2.i = temp1.r * ap[i__5].i + temp1.i * ap[i__5]
.r;
q__1.r = y[i__4].r + q__2.r, q__1.i = y[i__4].i + q__2.i;
y[i__3].r = q__1.r, y[i__3].i = q__1.i;
r_cnjg(&q__3, &ap[k]);
i__3 = ix;
q__2.r = q__3.r * x[i__3].r - q__3.i * x[i__3].i, q__2.i =
q__3.r * x[i__3].i + q__3.i * x[i__3].r;
q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
temp2.r = q__1.r, temp2.i = q__1.i;
ix += *incx;
iy += *incy;
/* L70: */
}
i__2 = jy;
i__3 = jy;
i__4 = kk + j - 1;
r__1 = ap[i__4].r;
q__3.r = r__1 * temp1.r, q__3.i = r__1 * temp1.i;
q__2.r = y[i__3].r + q__3.r, q__2.i = y[i__3].i + q__3.i;
q__4.r = alpha->r * temp2.r - alpha->i * temp2.i, q__4.i =
alpha->r * temp2.i + alpha->i * temp2.r;
q__1.r = q__2.r + q__4.r, q__1.i = q__2.i + q__4.i;
y[i__2].r = q__1.r, y[i__2].i = q__1.i;
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) {
i__2 = j;
q__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, q__1.i =
alpha->r * x[i__2].i + alpha->i * x[i__2].r;
temp1.r = q__1.r, temp1.i = q__1.i;
temp2.r = 0.f, temp2.i = 0.f;
i__2 = j;
i__3 = j;
i__4 = kk;
r__1 = ap[i__4].r;
q__2.r = r__1 * temp1.r, q__2.i = r__1 * temp1.i;
q__1.r = y[i__3].r + q__2.r, q__1.i = y[i__3].i + q__2.i;
y[i__2].r = q__1.r, y[i__2].i = q__1.i;
k = kk + 1;
i__2 = *n;
for (i__ = j + 1; i__ <= i__2; ++i__) {
i__3 = i__;
i__4 = i__;
i__5 = k;
q__2.r = temp1.r * ap[i__5].r - temp1.i * ap[i__5].i,
q__2.i = temp1.r * ap[i__5].i + temp1.i * ap[i__5]
.r;
q__1.r = y[i__4].r + q__2.r, q__1.i = y[i__4].i + q__2.i;
y[i__3].r = q__1.r, y[i__3].i = q__1.i;
r_cnjg(&q__3, &ap[k]);
i__3 = i__;
q__2.r = q__3.r * x[i__3].r - q__3.i * x[i__3].i, q__2.i =
q__3.r * x[i__3].i + q__3.i * x[i__3].r;
q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
temp2.r = q__1.r, temp2.i = q__1.i;
++k;
/* L90: */
}
i__2 = j;
i__3 = j;
q__2.r = alpha->r * temp2.r - alpha->i * temp2.i, q__2.i =
alpha->r * temp2.i + alpha->i * temp2.r;
q__1.r = y[i__3].r + q__2.r, q__1.i = y[i__3].i + q__2.i;
y[i__2].r = q__1.r, y[i__2].i = q__1.i;
kk += *n - j + 1;
/* L100: */
}
} else {
jx = kx;
jy = ky;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = jx;
q__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, q__1.i =
alpha->r * x[i__2].i + alpha->i * x[i__2].r;
temp1.r = q__1.r, temp1.i = q__1.i;
temp2.r = 0.f, temp2.i = 0.f;
i__2 = jy;
i__3 = jy;
i__4 = kk;
r__1 = ap[i__4].r;
q__2.r = r__1 * temp1.r, q__2.i = r__1 * temp1.i;
q__1.r = y[i__3].r + q__2.r, q__1.i = y[i__3].i + q__2.i;
y[i__2].r = q__1.r, y[i__2].i = q__1.i;
ix = jx;
iy = jy;
i__2 = kk + *n - j;
for (k = kk + 1; k <= i__2; ++k) {
ix += *incx;
iy += *incy;
i__3 = iy;
i__4 = iy;
i__5 = k;
q__2.r = temp1.r * ap[i__5].r - temp1.i * ap[i__5].i,
q__2.i = temp1.r * ap[i__5].i + temp1.i * ap[i__5]
.r;
q__1.r = y[i__4].r + q__2.r, q__1.i = y[i__4].i + q__2.i;
y[i__3].r = q__1.r, y[i__3].i = q__1.i;
r_cnjg(&q__3, &ap[k]);
i__3 = ix;
q__2.r = q__3.r * x[i__3].r - q__3.i * x[i__3].i, q__2.i =
q__3.r * x[i__3].i + q__3.i * x[i__3].r;
q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
temp2.r = q__1.r, temp2.i = q__1.i;
/* L110: */
}
i__2 = jy;
i__3 = jy;
q__2.r = alpha->r * temp2.r - alpha->i * temp2.i, q__2.i =
alpha->r * temp2.i + alpha->i * temp2.r;
q__1.r = y[i__3].r + q__2.r, q__1.i = y[i__3].i + q__2.i;
y[i__2].r = q__1.r, y[i__2].i = q__1.i;
jx += *incx;
jy += *incy;
kk += *n - j + 1;
/* L120: */
}
}
}
return 0;
/* End of CHPMV . */
} /* chpmv_ */
/* zhpmv.f -- translated by f2c (version 19991025).
You must link the resulting object file with the libraries:
-lf2c -lm (in that order)
*/
/* Subroutine */ int PASTEF77(z,hpmv)(char *uplo, integer *n, doublecomplex *alpha,
doublecomplex *ap, doublecomplex *x, integer *incx, doublecomplex *
beta, doublecomplex *y, integer *incy)
{
/* System generated locals */
integer i__1, i__2, i__3, i__4, i__5;
doublereal d__1;
doublecomplex z__1, z__2, z__3, z__4;
/* Builtin functions */
void d_cnjg(doublecomplex *, doublecomplex *);
/* Local variables */
integer info;
doublecomplex temp1, temp2;
integer i__, j, k;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer kk, ix, iy, jx, jy, kx, ky;
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* ZHPMV 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 hermitian 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 - COMPLEX*16 . */
/* On entry, ALPHA specifies the scalar alpha. */
/* Unchanged on exit. */
/* AP - COMPLEX*16 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 hermitian 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 hermitian 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. */
/* Note that the imaginary parts of the diagonal elements need */
/* not be set and are assumed to be zero. */
/* Unchanged on exit. */
/* X - COMPLEX*16 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 - COMPLEX*16 . */
/* 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 - COMPLEX*16 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 .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/* Parameter adjustments */
--y;
--x;
--ap;
/* Function Body */
info = 0;
if (! lsame_(uplo, "U", (ftnlen)1, (ftnlen)1) && ! 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) {
xerbla_("ZHPMV ", &info, (ftnlen)6);
return 0;
}
/* Quick return if possible. */
if (*n == 0 || (alpha->r == 0. && alpha->i == 0. && (beta->r == 1. &&
beta->i == 0.))) {
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->r != 1. || beta->i != 0.) {
if (*incy == 1) {
if (beta->r == 0. && beta->i == 0.) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__;
y[i__2].r = 0., y[i__2].i = 0.;
/* L10: */
}
} else {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__;
i__3 = i__;
z__1.r = beta->r * y[i__3].r - beta->i * y[i__3].i,
z__1.i = beta->r * y[i__3].i + beta->i * y[i__3]
.r;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
/* L20: */
}
}
} else {
iy = ky;
if (beta->r == 0. && beta->i == 0.) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = iy;
y[i__2].r = 0., y[i__2].i = 0.;
iy += *incy;
/* L30: */
}
} else {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = iy;
i__3 = iy;
z__1.r = beta->r * y[i__3].r - beta->i * y[i__3].i,
z__1.i = beta->r * y[i__3].i + beta->i * y[i__3]
.r;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
iy += *incy;
/* L40: */
}
}
}
}
if (alpha->r == 0. && alpha->i == 0.) {
return 0;
}
kk = 1;
if (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) {
i__2 = j;
z__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, z__1.i =
alpha->r * x[i__2].i + alpha->i * x[i__2].r;
temp1.r = z__1.r, temp1.i = z__1.i;
temp2.r = 0., temp2.i = 0.;
k = kk;
i__2 = j - 1;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__;
i__4 = i__;
i__5 = k;
z__2.r = temp1.r * ap[i__5].r - temp1.i * ap[i__5].i,
z__2.i = temp1.r * ap[i__5].i + temp1.i * ap[i__5]
.r;
z__1.r = y[i__4].r + z__2.r, z__1.i = y[i__4].i + z__2.i;
y[i__3].r = z__1.r, y[i__3].i = z__1.i;
d_cnjg(&z__3, &ap[k]);
i__3 = i__;
z__2.r = z__3.r * x[i__3].r - z__3.i * x[i__3].i, z__2.i =
z__3.r * x[i__3].i + z__3.i * x[i__3].r;
z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
temp2.r = z__1.r, temp2.i = z__1.i;
++k;
/* L50: */
}
i__2 = j;
i__3 = j;
i__4 = kk + j - 1;
d__1 = ap[i__4].r;
z__3.r = d__1 * temp1.r, z__3.i = d__1 * temp1.i;
z__2.r = y[i__3].r + z__3.r, z__2.i = y[i__3].i + z__3.i;
z__4.r = alpha->r * temp2.r - alpha->i * temp2.i, z__4.i =
alpha->r * temp2.i + alpha->i * temp2.r;
z__1.r = z__2.r + z__4.r, z__1.i = z__2.i + z__4.i;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
kk += j;
/* L60: */
}
} else {
jx = kx;
jy = ky;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = jx;
z__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, z__1.i =
alpha->r * x[i__2].i + alpha->i * x[i__2].r;
temp1.r = z__1.r, temp1.i = z__1.i;
temp2.r = 0., temp2.i = 0.;
ix = kx;
iy = ky;
i__2 = kk + j - 2;
for (k = kk; k <= i__2; ++k) {
i__3 = iy;
i__4 = iy;
i__5 = k;
z__2.r = temp1.r * ap[i__5].r - temp1.i * ap[i__5].i,
z__2.i = temp1.r * ap[i__5].i + temp1.i * ap[i__5]
.r;
z__1.r = y[i__4].r + z__2.r, z__1.i = y[i__4].i + z__2.i;
y[i__3].r = z__1.r, y[i__3].i = z__1.i;
d_cnjg(&z__3, &ap[k]);
i__3 = ix;
z__2.r = z__3.r * x[i__3].r - z__3.i * x[i__3].i, z__2.i =
z__3.r * x[i__3].i + z__3.i * x[i__3].r;
z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
temp2.r = z__1.r, temp2.i = z__1.i;
ix += *incx;
iy += *incy;
/* L70: */
}
i__2 = jy;
i__3 = jy;
i__4 = kk + j - 1;
d__1 = ap[i__4].r;
z__3.r = d__1 * temp1.r, z__3.i = d__1 * temp1.i;
z__2.r = y[i__3].r + z__3.r, z__2.i = y[i__3].i + z__3.i;
z__4.r = alpha->r * temp2.r - alpha->i * temp2.i, z__4.i =
alpha->r * temp2.i + alpha->i * temp2.r;
z__1.r = z__2.r + z__4.r, z__1.i = z__2.i + z__4.i;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
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) {
i__2 = j;
z__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, z__1.i =
alpha->r * x[i__2].i + alpha->i * x[i__2].r;
temp1.r = z__1.r, temp1.i = z__1.i;
temp2.r = 0., temp2.i = 0.;
i__2 = j;
i__3 = j;
i__4 = kk;
d__1 = ap[i__4].r;
z__2.r = d__1 * temp1.r, z__2.i = d__1 * temp1.i;
z__1.r = y[i__3].r + z__2.r, z__1.i = y[i__3].i + z__2.i;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
k = kk + 1;
i__2 = *n;
for (i__ = j + 1; i__ <= i__2; ++i__) {
i__3 = i__;
i__4 = i__;
i__5 = k;
z__2.r = temp1.r * ap[i__5].r - temp1.i * ap[i__5].i,
z__2.i = temp1.r * ap[i__5].i + temp1.i * ap[i__5]
.r;
z__1.r = y[i__4].r + z__2.r, z__1.i = y[i__4].i + z__2.i;
y[i__3].r = z__1.r, y[i__3].i = z__1.i;
d_cnjg(&z__3, &ap[k]);
i__3 = i__;
z__2.r = z__3.r * x[i__3].r - z__3.i * x[i__3].i, z__2.i =
z__3.r * x[i__3].i + z__3.i * x[i__3].r;
z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
temp2.r = z__1.r, temp2.i = z__1.i;
++k;
/* L90: */
}
i__2 = j;
i__3 = j;
z__2.r = alpha->r * temp2.r - alpha->i * temp2.i, z__2.i =
alpha->r * temp2.i + alpha->i * temp2.r;
z__1.r = y[i__3].r + z__2.r, z__1.i = y[i__3].i + z__2.i;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
kk += *n - j + 1;
/* L100: */
}
} else {
jx = kx;
jy = ky;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = jx;
z__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, z__1.i =
alpha->r * x[i__2].i + alpha->i * x[i__2].r;
temp1.r = z__1.r, temp1.i = z__1.i;
temp2.r = 0., temp2.i = 0.;
i__2 = jy;
i__3 = jy;
i__4 = kk;
d__1 = ap[i__4].r;
z__2.r = d__1 * temp1.r, z__2.i = d__1 * temp1.i;
z__1.r = y[i__3].r + z__2.r, z__1.i = y[i__3].i + z__2.i;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
ix = jx;
iy = jy;
i__2 = kk + *n - j;
for (k = kk + 1; k <= i__2; ++k) {
ix += *incx;
iy += *incy;
i__3 = iy;
i__4 = iy;
i__5 = k;
z__2.r = temp1.r * ap[i__5].r - temp1.i * ap[i__5].i,
z__2.i = temp1.r * ap[i__5].i + temp1.i * ap[i__5]
.r;
z__1.r = y[i__4].r + z__2.r, z__1.i = y[i__4].i + z__2.i;
y[i__3].r = z__1.r, y[i__3].i = z__1.i;
d_cnjg(&z__3, &ap[k]);
i__3 = ix;
z__2.r = z__3.r * x[i__3].r - z__3.i * x[i__3].i, z__2.i =
z__3.r * x[i__3].i + z__3.i * x[i__3].r;
z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
temp2.r = z__1.r, temp2.i = z__1.i;
/* L110: */
}
i__2 = jy;
i__3 = jy;
z__2.r = alpha->r * temp2.r - alpha->i * temp2.i, z__2.i =
alpha->r * temp2.i + alpha->i * temp2.r;
z__1.r = y[i__3].r + z__2.r, z__1.i = y[i__3].i + z__2.i;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
jx += *incx;
jy += *incy;
kk += *n - j + 1;
/* L120: */
}
}
}
return 0;
/* End of ZHPMV . */
} /* zhpmv_ */
#endif

700
frame/compat/f2c/bla_hpr.c Normal file
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@@ -0,0 +1,700 @@
/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2013, The University of Texas
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 of The University of Texas 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 "blis2.h"
#ifdef BLIS_ENABLE_BLAS2BLIS
#include "bl2_f2c.h"
/* chpr.f -- translated by f2c (version 19991025).
You must link the resulting object file with the libraries:
-lf2c -lm (in that order)
*/
/* Subroutine */ int PASTEF77(c,hpr)(char *uplo, integer *n, real *alpha, complex *x,
integer *incx, complex *ap)
{
/* System generated locals */
integer i__1, i__2, i__3, i__4, i__5;
real r__1;
complex q__1, q__2;
/* Builtin functions */
void r_cnjg(complex *, complex *);
/* Local variables */
integer info;
complex temp;
integer i__, j, k;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer kk, ix, jx, kx = 0;
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* CHPR performs the hermitian rank 1 operation */
/* A := alpha*x*conjg( x' ) + A, */
/* where alpha is a real scalar, x is an n element vector and A is an */
/* n by n hermitian 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. */
/* X - COMPLEX 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. */
/* AP - COMPLEX 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 hermitian 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. On exit, the array */
/* AP is overwritten by the upper triangular part of the */
/* updated matrix. */
/* Before entry with UPLO = 'L' or 'l', the array AP must */
/* contain the lower triangular part of the hermitian 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. On exit, the array */
/* AP is overwritten by the lower triangular part of the */
/* updated matrix. */
/* Note that the imaginary parts of the diagonal elements need */
/* not be set, they are assumed to be zero, and on exit they */
/* are set to zero. */
/* 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 .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/* Parameter adjustments */
--ap;
--x;
/* Function Body */
info = 0;
if (! lsame_(uplo, "U", (ftnlen)1, (ftnlen)1) && ! lsame_(uplo, "L", (
ftnlen)1, (ftnlen)1)) {
info = 1;
} else if (*n < 0) {
info = 2;
} else if (*incx == 0) {
info = 5;
}
if (info != 0) {
xerbla_("CHPR ", &info, (ftnlen)6);
return 0;
}
/* Quick return if possible. */
if (*n == 0 || *alpha == 0.f) {
return 0;
}
/* Set the start point in X if the increment is not unity. */
if (*incx <= 0) {
kx = 1 - (*n - 1) * *incx;
} else if (*incx != 1) {
kx = 1;
}
/* Start the operations. In this version the elements of the array AP */
/* are accessed sequentially with one pass through AP. */
kk = 1;
if (lsame_(uplo, "U", (ftnlen)1, (ftnlen)1)) {
/* Form A when upper triangle is stored in AP. */
if (*incx == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
if (x[i__2].r != 0.f || x[i__2].i != 0.f) {
r_cnjg(&q__2, &x[j]);
q__1.r = *alpha * q__2.r, q__1.i = *alpha * q__2.i;
temp.r = q__1.r, temp.i = q__1.i;
k = kk;
i__2 = j - 1;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = k;
i__4 = k;
i__5 = i__;
q__2.r = x[i__5].r * temp.r - x[i__5].i * temp.i,
q__2.i = x[i__5].r * temp.i + x[i__5].i *
temp.r;
q__1.r = ap[i__4].r + q__2.r, q__1.i = ap[i__4].i +
q__2.i;
ap[i__3].r = q__1.r, ap[i__3].i = q__1.i;
++k;
/* L10: */
}
i__2 = kk + j - 1;
i__3 = kk + j - 1;
i__4 = j;
q__1.r = x[i__4].r * temp.r - x[i__4].i * temp.i, q__1.i =
x[i__4].r * temp.i + x[i__4].i * temp.r;
r__1 = ap[i__3].r + q__1.r;
ap[i__2].r = r__1, ap[i__2].i = 0.f;
} else {
i__2 = kk + j - 1;
i__3 = kk + j - 1;
r__1 = ap[i__3].r;
ap[i__2].r = r__1, ap[i__2].i = 0.f;
}
kk += j;
/* L20: */
}
} else {
jx = kx;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = jx;
if (x[i__2].r != 0.f || x[i__2].i != 0.f) {
r_cnjg(&q__2, &x[jx]);
q__1.r = *alpha * q__2.r, q__1.i = *alpha * q__2.i;
temp.r = q__1.r, temp.i = q__1.i;
ix = kx;
i__2 = kk + j - 2;
for (k = kk; k <= i__2; ++k) {
i__3 = k;
i__4 = k;
i__5 = ix;
q__2.r = x[i__5].r * temp.r - x[i__5].i * temp.i,
q__2.i = x[i__5].r * temp.i + x[i__5].i *
temp.r;
q__1.r = ap[i__4].r + q__2.r, q__1.i = ap[i__4].i +
q__2.i;
ap[i__3].r = q__1.r, ap[i__3].i = q__1.i;
ix += *incx;
/* L30: */
}
i__2 = kk + j - 1;
i__3 = kk + j - 1;
i__4 = jx;
q__1.r = x[i__4].r * temp.r - x[i__4].i * temp.i, q__1.i =
x[i__4].r * temp.i + x[i__4].i * temp.r;
r__1 = ap[i__3].r + q__1.r;
ap[i__2].r = r__1, ap[i__2].i = 0.f;
} else {
i__2 = kk + j - 1;
i__3 = kk + j - 1;
r__1 = ap[i__3].r;
ap[i__2].r = r__1, ap[i__2].i = 0.f;
}
jx += *incx;
kk += j;
/* L40: */
}
}
} else {
/* Form A when lower triangle is stored in AP. */
if (*incx == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
if (x[i__2].r != 0.f || x[i__2].i != 0.f) {
r_cnjg(&q__2, &x[j]);
q__1.r = *alpha * q__2.r, q__1.i = *alpha * q__2.i;
temp.r = q__1.r, temp.i = q__1.i;
i__2 = kk;
i__3 = kk;
i__4 = j;
q__1.r = temp.r * x[i__4].r - temp.i * x[i__4].i, q__1.i =
temp.r * x[i__4].i + temp.i * x[i__4].r;
r__1 = ap[i__3].r + q__1.r;
ap[i__2].r = r__1, ap[i__2].i = 0.f;
k = kk + 1;
i__2 = *n;
for (i__ = j + 1; i__ <= i__2; ++i__) {
i__3 = k;
i__4 = k;
i__5 = i__;
q__2.r = x[i__5].r * temp.r - x[i__5].i * temp.i,
q__2.i = x[i__5].r * temp.i + x[i__5].i *
temp.r;
q__1.r = ap[i__4].r + q__2.r, q__1.i = ap[i__4].i +
q__2.i;
ap[i__3].r = q__1.r, ap[i__3].i = q__1.i;
++k;
/* L50: */
}
} else {
i__2 = kk;
i__3 = kk;
r__1 = ap[i__3].r;
ap[i__2].r = r__1, ap[i__2].i = 0.f;
}
kk = kk + *n - j + 1;
/* L60: */
}
} else {
jx = kx;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = jx;
if (x[i__2].r != 0.f || x[i__2].i != 0.f) {
r_cnjg(&q__2, &x[jx]);
q__1.r = *alpha * q__2.r, q__1.i = *alpha * q__2.i;
temp.r = q__1.r, temp.i = q__1.i;
i__2 = kk;
i__3 = kk;
i__4 = jx;
q__1.r = temp.r * x[i__4].r - temp.i * x[i__4].i, q__1.i =
temp.r * x[i__4].i + temp.i * x[i__4].r;
r__1 = ap[i__3].r + q__1.r;
ap[i__2].r = r__1, ap[i__2].i = 0.f;
ix = jx;
i__2 = kk + *n - j;
for (k = kk + 1; k <= i__2; ++k) {
ix += *incx;
i__3 = k;
i__4 = k;
i__5 = ix;
q__2.r = x[i__5].r * temp.r - x[i__5].i * temp.i,
q__2.i = x[i__5].r * temp.i + x[i__5].i *
temp.r;
q__1.r = ap[i__4].r + q__2.r, q__1.i = ap[i__4].i +
q__2.i;
ap[i__3].r = q__1.r, ap[i__3].i = q__1.i;
/* L70: */
}
} else {
i__2 = kk;
i__3 = kk;
r__1 = ap[i__3].r;
ap[i__2].r = r__1, ap[i__2].i = 0.f;
}
jx += *incx;
kk = kk + *n - j + 1;
/* L80: */
}
}
}
return 0;
/* End of CHPR . */
} /* chpr_ */
/* zhpr.f -- translated by f2c (version 19991025).
You must link the resulting object file with the libraries:
-lf2c -lm (in that order)
*/
/* Subroutine */ int PASTEF77(z,hpr)(char *uplo, integer *n, doublereal *alpha,
doublecomplex *x, integer *incx, doublecomplex *ap)
{
/* System generated locals */
integer i__1, i__2, i__3, i__4, i__5;
doublereal d__1;
doublecomplex z__1, z__2;
/* Builtin functions */
void d_cnjg(doublecomplex *, doublecomplex *);
/* Local variables */
integer info;
doublecomplex temp;
integer i__, j, k;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer kk, ix, jx, kx = 0;
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* ZHPR performs the hermitian rank 1 operation */
/* A := alpha*x*conjg( x' ) + A, */
/* where alpha is a real scalar, x is an n element vector and A is an */
/* n by n hermitian 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. */
/* X - COMPLEX*16 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. */
/* AP - COMPLEX*16 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 hermitian 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. On exit, the array */
/* AP is overwritten by the upper triangular part of the */
/* updated matrix. */
/* Before entry with UPLO = 'L' or 'l', the array AP must */
/* contain the lower triangular part of the hermitian 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. On exit, the array */
/* AP is overwritten by the lower triangular part of the */
/* updated matrix. */
/* Note that the imaginary parts of the diagonal elements need */
/* not be set, they are assumed to be zero, and on exit they */
/* are set to zero. */
/* 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 .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/* Parameter adjustments */
--ap;
--x;
/* Function Body */
info = 0;
if (! lsame_(uplo, "U", (ftnlen)1, (ftnlen)1) && ! lsame_(uplo, "L", (
ftnlen)1, (ftnlen)1)) {
info = 1;
} else if (*n < 0) {
info = 2;
} else if (*incx == 0) {
info = 5;
}
if (info != 0) {
xerbla_("ZHPR ", &info, (ftnlen)6);
return 0;
}
/* Quick return if possible. */
if (*n == 0 || *alpha == 0.) {
return 0;
}
/* Set the start point in X if the increment is not unity. */
if (*incx <= 0) {
kx = 1 - (*n - 1) * *incx;
} else if (*incx != 1) {
kx = 1;
}
/* Start the operations. In this version the elements of the array AP */
/* are accessed sequentially with one pass through AP. */
kk = 1;
if (lsame_(uplo, "U", (ftnlen)1, (ftnlen)1)) {
/* Form A when upper triangle is stored in AP. */
if (*incx == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
if (x[i__2].r != 0. || x[i__2].i != 0.) {
d_cnjg(&z__2, &x[j]);
z__1.r = *alpha * z__2.r, z__1.i = *alpha * z__2.i;
temp.r = z__1.r, temp.i = z__1.i;
k = kk;
i__2 = j - 1;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = k;
i__4 = k;
i__5 = i__;
z__2.r = x[i__5].r * temp.r - x[i__5].i * temp.i,
z__2.i = x[i__5].r * temp.i + x[i__5].i *
temp.r;
z__1.r = ap[i__4].r + z__2.r, z__1.i = ap[i__4].i +
z__2.i;
ap[i__3].r = z__1.r, ap[i__3].i = z__1.i;
++k;
/* L10: */
}
i__2 = kk + j - 1;
i__3 = kk + j - 1;
i__4 = j;
z__1.r = x[i__4].r * temp.r - x[i__4].i * temp.i, z__1.i =
x[i__4].r * temp.i + x[i__4].i * temp.r;
d__1 = ap[i__3].r + z__1.r;
ap[i__2].r = d__1, ap[i__2].i = 0.;
} else {
i__2 = kk + j - 1;
i__3 = kk + j - 1;
d__1 = ap[i__3].r;
ap[i__2].r = d__1, ap[i__2].i = 0.;
}
kk += j;
/* L20: */
}
} else {
jx = kx;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = jx;
if (x[i__2].r != 0. || x[i__2].i != 0.) {
d_cnjg(&z__2, &x[jx]);
z__1.r = *alpha * z__2.r, z__1.i = *alpha * z__2.i;
temp.r = z__1.r, temp.i = z__1.i;
ix = kx;
i__2 = kk + j - 2;
for (k = kk; k <= i__2; ++k) {
i__3 = k;
i__4 = k;
i__5 = ix;
z__2.r = x[i__5].r * temp.r - x[i__5].i * temp.i,
z__2.i = x[i__5].r * temp.i + x[i__5].i *
temp.r;
z__1.r = ap[i__4].r + z__2.r, z__1.i = ap[i__4].i +
z__2.i;
ap[i__3].r = z__1.r, ap[i__3].i = z__1.i;
ix += *incx;
/* L30: */
}
i__2 = kk + j - 1;
i__3 = kk + j - 1;
i__4 = jx;
z__1.r = x[i__4].r * temp.r - x[i__4].i * temp.i, z__1.i =
x[i__4].r * temp.i + x[i__4].i * temp.r;
d__1 = ap[i__3].r + z__1.r;
ap[i__2].r = d__1, ap[i__2].i = 0.;
} else {
i__2 = kk + j - 1;
i__3 = kk + j - 1;
d__1 = ap[i__3].r;
ap[i__2].r = d__1, ap[i__2].i = 0.;
}
jx += *incx;
kk += j;
/* L40: */
}
}
} else {
/* Form A when lower triangle is stored in AP. */
if (*incx == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
if (x[i__2].r != 0. || x[i__2].i != 0.) {
d_cnjg(&z__2, &x[j]);
z__1.r = *alpha * z__2.r, z__1.i = *alpha * z__2.i;
temp.r = z__1.r, temp.i = z__1.i;
i__2 = kk;
i__3 = kk;
i__4 = j;
z__1.r = temp.r * x[i__4].r - temp.i * x[i__4].i, z__1.i =
temp.r * x[i__4].i + temp.i * x[i__4].r;
d__1 = ap[i__3].r + z__1.r;
ap[i__2].r = d__1, ap[i__2].i = 0.;
k = kk + 1;
i__2 = *n;
for (i__ = j + 1; i__ <= i__2; ++i__) {
i__3 = k;
i__4 = k;
i__5 = i__;
z__2.r = x[i__5].r * temp.r - x[i__5].i * temp.i,
z__2.i = x[i__5].r * temp.i + x[i__5].i *
temp.r;
z__1.r = ap[i__4].r + z__2.r, z__1.i = ap[i__4].i +
z__2.i;
ap[i__3].r = z__1.r, ap[i__3].i = z__1.i;
++k;
/* L50: */
}
} else {
i__2 = kk;
i__3 = kk;
d__1 = ap[i__3].r;
ap[i__2].r = d__1, ap[i__2].i = 0.;
}
kk = kk + *n - j + 1;
/* L60: */
}
} else {
jx = kx;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = jx;
if (x[i__2].r != 0. || x[i__2].i != 0.) {
d_cnjg(&z__2, &x[jx]);
z__1.r = *alpha * z__2.r, z__1.i = *alpha * z__2.i;
temp.r = z__1.r, temp.i = z__1.i;
i__2 = kk;
i__3 = kk;
i__4 = jx;
z__1.r = temp.r * x[i__4].r - temp.i * x[i__4].i, z__1.i =
temp.r * x[i__4].i + temp.i * x[i__4].r;
d__1 = ap[i__3].r + z__1.r;
ap[i__2].r = d__1, ap[i__2].i = 0.;
ix = jx;
i__2 = kk + *n - j;
for (k = kk + 1; k <= i__2; ++k) {
ix += *incx;
i__3 = k;
i__4 = k;
i__5 = ix;
z__2.r = x[i__5].r * temp.r - x[i__5].i * temp.i,
z__2.i = x[i__5].r * temp.i + x[i__5].i *
temp.r;
z__1.r = ap[i__4].r + z__2.r, z__1.i = ap[i__4].i +
z__2.i;
ap[i__3].r = z__1.r, ap[i__3].i = z__1.i;
/* L70: */
}
} else {
i__2 = kk;
i__3 = kk;
d__1 = ap[i__3].r;
ap[i__2].r = d__1, ap[i__2].i = 0.;
}
jx += *incx;
kk = kk + *n - j + 1;
/* L80: */
}
}
}
return 0;
/* End of ZHPR . */
} /* zhpr_ */
#endif

917
frame/compat/f2c/bla_hpr2.c Normal file
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@@ -0,0 +1,917 @@
/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2013, The University of Texas
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 of The University of Texas 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 "blis2.h"
#ifdef BLIS_ENABLE_BLAS2BLIS
#include "bl2_f2c.h"
/* chpr2.f -- translated by f2c (version 19991025).
You must link the resulting object file with the libraries:
-lf2c -lm (in that order)
*/
/* Subroutine */ int PASTEF77(c,hpr2)(char *uplo, integer *n, complex *alpha, complex *
x, integer *incx, complex *y, integer *incy, complex *ap)
{
/* System generated locals */
integer i__1, i__2, i__3, i__4, i__5, i__6;
real r__1;
complex q__1, q__2, q__3, q__4;
/* Builtin functions */
void r_cnjg(complex *, complex *);
/* Local variables */
integer info;
complex temp1, temp2;
integer i__, j, k;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer kk, ix, iy, jx = 0, jy = 0, kx = 0, ky = 0;
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* CHPR2 performs the hermitian rank 2 operation */
/* A := alpha*x*conjg( y' ) + conjg( alpha )*y*conjg( x' ) + A, */
/* where alpha is a scalar, x and y are n element vectors and A is an */
/* n by n hermitian 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 - COMPLEX . */
/* On entry, ALPHA specifies the scalar alpha. */
/* Unchanged on exit. */
/* X - COMPLEX 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. */
/* Y - COMPLEX array of dimension at least */
/* ( 1 + ( n - 1 )*abs( INCY ) ). */
/* Before entry, the incremented array Y must contain the n */
/* element vector y. */
/* Unchanged on exit. */
/* INCY - INTEGER. */
/* On entry, INCY specifies the increment for the elements of */
/* Y. INCY must not be zero. */
/* Unchanged on exit. */
/* AP - COMPLEX 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 hermitian 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. On exit, the array */
/* AP is overwritten by the upper triangular part of the */
/* updated matrix. */
/* Before entry with UPLO = 'L' or 'l', the array AP must */
/* contain the lower triangular part of the hermitian 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. On exit, the array */
/* AP is overwritten by the lower triangular part of the */
/* updated matrix. */
/* Note that the imaginary parts of the diagonal elements need */
/* not be set, they are assumed to be zero, and on exit they */
/* are set to zero. */
/* 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 .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/* Parameter adjustments */
--ap;
--y;
--x;
/* Function Body */
info = 0;
if (! lsame_(uplo, "U", (ftnlen)1, (ftnlen)1) && ! lsame_(uplo, "L", (
ftnlen)1, (ftnlen)1)) {
info = 1;
} else if (*n < 0) {
info = 2;
} else if (*incx == 0) {
info = 5;
} else if (*incy == 0) {
info = 7;
}
if (info != 0) {
xerbla_("CHPR2 ", &info, (ftnlen)6);
return 0;
}
/* Quick return if possible. */
if (*n == 0 || (alpha->r == 0.f && alpha->i == 0.f)) {
return 0;
}
/* Set up the start points in X and Y if the increments are not both */
/* unity. */
if (*incx != 1 || *incy != 1) {
if (*incx > 0) {
kx = 1;
} else {
kx = 1 - (*n - 1) * *incx;
}
if (*incy > 0) {
ky = 1;
} else {
ky = 1 - (*n - 1) * *incy;
}
jx = kx;
jy = ky;
}
/* Start the operations. In this version the elements of the array AP */
/* are accessed sequentially with one pass through AP. */
kk = 1;
if (lsame_(uplo, "U", (ftnlen)1, (ftnlen)1)) {
/* Form A when upper triangle is stored in AP. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
i__3 = j;
if (x[i__2].r != 0.f || x[i__2].i != 0.f || (y[i__3].r != 0.f
|| y[i__3].i != 0.f)) {
r_cnjg(&q__2, &y[j]);
q__1.r = alpha->r * q__2.r - alpha->i * q__2.i, q__1.i =
alpha->r * q__2.i + alpha->i * q__2.r;
temp1.r = q__1.r, temp1.i = q__1.i;
i__2 = j;
q__2.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i,
q__2.i = alpha->r * x[i__2].i + alpha->i * x[i__2]
.r;
r_cnjg(&q__1, &q__2);
temp2.r = q__1.r, temp2.i = q__1.i;
k = kk;
i__2 = j - 1;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = k;
i__4 = k;
i__5 = i__;
q__3.r = x[i__5].r * temp1.r - x[i__5].i * temp1.i,
q__3.i = x[i__5].r * temp1.i + x[i__5].i *
temp1.r;
q__2.r = ap[i__4].r + q__3.r, q__2.i = ap[i__4].i +
q__3.i;
i__6 = i__;
q__4.r = y[i__6].r * temp2.r - y[i__6].i * temp2.i,
q__4.i = y[i__6].r * temp2.i + y[i__6].i *
temp2.r;
q__1.r = q__2.r + q__4.r, q__1.i = q__2.i + q__4.i;
ap[i__3].r = q__1.r, ap[i__3].i = q__1.i;
++k;
/* L10: */
}
i__2 = kk + j - 1;
i__3 = kk + j - 1;
i__4 = j;
q__2.r = x[i__4].r * temp1.r - x[i__4].i * temp1.i,
q__2.i = x[i__4].r * temp1.i + x[i__4].i *
temp1.r;
i__5 = j;
q__3.r = y[i__5].r * temp2.r - y[i__5].i * temp2.i,
q__3.i = y[i__5].r * temp2.i + y[i__5].i *
temp2.r;
q__1.r = q__2.r + q__3.r, q__1.i = q__2.i + q__3.i;
r__1 = ap[i__3].r + q__1.r;
ap[i__2].r = r__1, ap[i__2].i = 0.f;
} else {
i__2 = kk + j - 1;
i__3 = kk + j - 1;
r__1 = ap[i__3].r;
ap[i__2].r = r__1, ap[i__2].i = 0.f;
}
kk += j;
/* L20: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = jx;
i__3 = jy;
if (x[i__2].r != 0.f || x[i__2].i != 0.f || (y[i__3].r != 0.f
|| y[i__3].i != 0.f)) {
r_cnjg(&q__2, &y[jy]);
q__1.r = alpha->r * q__2.r - alpha->i * q__2.i, q__1.i =
alpha->r * q__2.i + alpha->i * q__2.r;
temp1.r = q__1.r, temp1.i = q__1.i;
i__2 = jx;
q__2.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i,
q__2.i = alpha->r * x[i__2].i + alpha->i * x[i__2]
.r;
r_cnjg(&q__1, &q__2);
temp2.r = q__1.r, temp2.i = q__1.i;
ix = kx;
iy = ky;
i__2 = kk + j - 2;
for (k = kk; k <= i__2; ++k) {
i__3 = k;
i__4 = k;
i__5 = ix;
q__3.r = x[i__5].r * temp1.r - x[i__5].i * temp1.i,
q__3.i = x[i__5].r * temp1.i + x[i__5].i *
temp1.r;
q__2.r = ap[i__4].r + q__3.r, q__2.i = ap[i__4].i +
q__3.i;
i__6 = iy;
q__4.r = y[i__6].r * temp2.r - y[i__6].i * temp2.i,
q__4.i = y[i__6].r * temp2.i + y[i__6].i *
temp2.r;
q__1.r = q__2.r + q__4.r, q__1.i = q__2.i + q__4.i;
ap[i__3].r = q__1.r, ap[i__3].i = q__1.i;
ix += *incx;
iy += *incy;
/* L30: */
}
i__2 = kk + j - 1;
i__3 = kk + j - 1;
i__4 = jx;
q__2.r = x[i__4].r * temp1.r - x[i__4].i * temp1.i,
q__2.i = x[i__4].r * temp1.i + x[i__4].i *
temp1.r;
i__5 = jy;
q__3.r = y[i__5].r * temp2.r - y[i__5].i * temp2.i,
q__3.i = y[i__5].r * temp2.i + y[i__5].i *
temp2.r;
q__1.r = q__2.r + q__3.r, q__1.i = q__2.i + q__3.i;
r__1 = ap[i__3].r + q__1.r;
ap[i__2].r = r__1, ap[i__2].i = 0.f;
} else {
i__2 = kk + j - 1;
i__3 = kk + j - 1;
r__1 = ap[i__3].r;
ap[i__2].r = r__1, ap[i__2].i = 0.f;
}
jx += *incx;
jy += *incy;
kk += j;
/* L40: */
}
}
} else {
/* Form A when lower triangle is stored in AP. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
i__3 = j;
if (x[i__2].r != 0.f || x[i__2].i != 0.f || (y[i__3].r != 0.f
|| y[i__3].i != 0.f)) {
r_cnjg(&q__2, &y[j]);
q__1.r = alpha->r * q__2.r - alpha->i * q__2.i, q__1.i =
alpha->r * q__2.i + alpha->i * q__2.r;
temp1.r = q__1.r, temp1.i = q__1.i;
i__2 = j;
q__2.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i,
q__2.i = alpha->r * x[i__2].i + alpha->i * x[i__2]
.r;
r_cnjg(&q__1, &q__2);
temp2.r = q__1.r, temp2.i = q__1.i;
i__2 = kk;
i__3 = kk;
i__4 = j;
q__2.r = x[i__4].r * temp1.r - x[i__4].i * temp1.i,
q__2.i = x[i__4].r * temp1.i + x[i__4].i *
temp1.r;
i__5 = j;
q__3.r = y[i__5].r * temp2.r - y[i__5].i * temp2.i,
q__3.i = y[i__5].r * temp2.i + y[i__5].i *
temp2.r;
q__1.r = q__2.r + q__3.r, q__1.i = q__2.i + q__3.i;
r__1 = ap[i__3].r + q__1.r;
ap[i__2].r = r__1, ap[i__2].i = 0.f;
k = kk + 1;
i__2 = *n;
for (i__ = j + 1; i__ <= i__2; ++i__) {
i__3 = k;
i__4 = k;
i__5 = i__;
q__3.r = x[i__5].r * temp1.r - x[i__5].i * temp1.i,
q__3.i = x[i__5].r * temp1.i + x[i__5].i *
temp1.r;
q__2.r = ap[i__4].r + q__3.r, q__2.i = ap[i__4].i +
q__3.i;
i__6 = i__;
q__4.r = y[i__6].r * temp2.r - y[i__6].i * temp2.i,
q__4.i = y[i__6].r * temp2.i + y[i__6].i *
temp2.r;
q__1.r = q__2.r + q__4.r, q__1.i = q__2.i + q__4.i;
ap[i__3].r = q__1.r, ap[i__3].i = q__1.i;
++k;
/* L50: */
}
} else {
i__2 = kk;
i__3 = kk;
r__1 = ap[i__3].r;
ap[i__2].r = r__1, ap[i__2].i = 0.f;
}
kk = kk + *n - j + 1;
/* L60: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = jx;
i__3 = jy;
if (x[i__2].r != 0.f || x[i__2].i != 0.f || (y[i__3].r != 0.f
|| y[i__3].i != 0.f)) {
r_cnjg(&q__2, &y[jy]);
q__1.r = alpha->r * q__2.r - alpha->i * q__2.i, q__1.i =
alpha->r * q__2.i + alpha->i * q__2.r;
temp1.r = q__1.r, temp1.i = q__1.i;
i__2 = jx;
q__2.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i,
q__2.i = alpha->r * x[i__2].i + alpha->i * x[i__2]
.r;
r_cnjg(&q__1, &q__2);
temp2.r = q__1.r, temp2.i = q__1.i;
i__2 = kk;
i__3 = kk;
i__4 = jx;
q__2.r = x[i__4].r * temp1.r - x[i__4].i * temp1.i,
q__2.i = x[i__4].r * temp1.i + x[i__4].i *
temp1.r;
i__5 = jy;
q__3.r = y[i__5].r * temp2.r - y[i__5].i * temp2.i,
q__3.i = y[i__5].r * temp2.i + y[i__5].i *
temp2.r;
q__1.r = q__2.r + q__3.r, q__1.i = q__2.i + q__3.i;
r__1 = ap[i__3].r + q__1.r;
ap[i__2].r = r__1, ap[i__2].i = 0.f;
ix = jx;
iy = jy;
i__2 = kk + *n - j;
for (k = kk + 1; k <= i__2; ++k) {
ix += *incx;
iy += *incy;
i__3 = k;
i__4 = k;
i__5 = ix;
q__3.r = x[i__5].r * temp1.r - x[i__5].i * temp1.i,
q__3.i = x[i__5].r * temp1.i + x[i__5].i *
temp1.r;
q__2.r = ap[i__4].r + q__3.r, q__2.i = ap[i__4].i +
q__3.i;
i__6 = iy;
q__4.r = y[i__6].r * temp2.r - y[i__6].i * temp2.i,
q__4.i = y[i__6].r * temp2.i + y[i__6].i *
temp2.r;
q__1.r = q__2.r + q__4.r, q__1.i = q__2.i + q__4.i;
ap[i__3].r = q__1.r, ap[i__3].i = q__1.i;
/* L70: */
}
} else {
i__2 = kk;
i__3 = kk;
r__1 = ap[i__3].r;
ap[i__2].r = r__1, ap[i__2].i = 0.f;
}
jx += *incx;
jy += *incy;
kk = kk + *n - j + 1;
/* L80: */
}
}
}
return 0;
/* End of CHPR2 . */
} /* chpr2_ */
/* zhpr2.f -- translated by f2c (version 19991025).
You must link the resulting object file with the libraries:
-lf2c -lm (in that order)
*/
/* Subroutine */ int PASTEF77(z,hpr2)(char *uplo, integer *n, doublecomplex *alpha,
doublecomplex *x, integer *incx, doublecomplex *y, integer *incy,
doublecomplex *ap)
{
/* System generated locals */
integer i__1, i__2, i__3, i__4, i__5, i__6;
doublereal d__1;
doublecomplex z__1, z__2, z__3, z__4;
/* Builtin functions */
void d_cnjg(doublecomplex *, doublecomplex *);
/* Local variables */
integer info;
doublecomplex temp1, temp2;
integer i__, j, k;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer kk, ix, iy, jx = 0, jy = 0, kx = 0, ky = 0;
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* ZHPR2 performs the hermitian rank 2 operation */
/* A := alpha*x*conjg( y' ) + conjg( alpha )*y*conjg( x' ) + A, */
/* where alpha is a scalar, x and y are n element vectors and A is an */
/* n by n hermitian 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 - COMPLEX*16 . */
/* On entry, ALPHA specifies the scalar alpha. */
/* Unchanged on exit. */
/* X - COMPLEX*16 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. */
/* Y - COMPLEX*16 array of dimension at least */
/* ( 1 + ( n - 1 )*abs( INCY ) ). */
/* Before entry, the incremented array Y must contain the n */
/* element vector y. */
/* Unchanged on exit. */
/* INCY - INTEGER. */
/* On entry, INCY specifies the increment for the elements of */
/* Y. INCY must not be zero. */
/* Unchanged on exit. */
/* AP - COMPLEX*16 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 hermitian 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. On exit, the array */
/* AP is overwritten by the upper triangular part of the */
/* updated matrix. */
/* Before entry with UPLO = 'L' or 'l', the array AP must */
/* contain the lower triangular part of the hermitian 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. On exit, the array */
/* AP is overwritten by the lower triangular part of the */
/* updated matrix. */
/* Note that the imaginary parts of the diagonal elements need */
/* not be set, they are assumed to be zero, and on exit they */
/* are set to zero. */
/* 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 .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/* Parameter adjustments */
--ap;
--y;
--x;
/* Function Body */
info = 0;
if (! lsame_(uplo, "U", (ftnlen)1, (ftnlen)1) && ! lsame_(uplo, "L", (
ftnlen)1, (ftnlen)1)) {
info = 1;
} else if (*n < 0) {
info = 2;
} else if (*incx == 0) {
info = 5;
} else if (*incy == 0) {
info = 7;
}
if (info != 0) {
xerbla_("ZHPR2 ", &info, (ftnlen)6);
return 0;
}
/* Quick return if possible. */
if (*n == 0 || (alpha->r == 0. && alpha->i == 0.)) {
return 0;
}
/* Set up the start points in X and Y if the increments are not both */
/* unity. */
if (*incx != 1 || *incy != 1) {
if (*incx > 0) {
kx = 1;
} else {
kx = 1 - (*n - 1) * *incx;
}
if (*incy > 0) {
ky = 1;
} else {
ky = 1 - (*n - 1) * *incy;
}
jx = kx;
jy = ky;
}
/* Start the operations. In this version the elements of the array AP */
/* are accessed sequentially with one pass through AP. */
kk = 1;
if (lsame_(uplo, "U", (ftnlen)1, (ftnlen)1)) {
/* Form A when upper triangle is stored in AP. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
i__3 = j;
if (x[i__2].r != 0. || x[i__2].i != 0. || (y[i__3].r != 0. ||
y[i__3].i != 0.)) {
d_cnjg(&z__2, &y[j]);
z__1.r = alpha->r * z__2.r - alpha->i * z__2.i, z__1.i =
alpha->r * z__2.i + alpha->i * z__2.r;
temp1.r = z__1.r, temp1.i = z__1.i;
i__2 = j;
z__2.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i,
z__2.i = alpha->r * x[i__2].i + alpha->i * x[i__2]
.r;
d_cnjg(&z__1, &z__2);
temp2.r = z__1.r, temp2.i = z__1.i;
k = kk;
i__2 = j - 1;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = k;
i__4 = k;
i__5 = i__;
z__3.r = x[i__5].r * temp1.r - x[i__5].i * temp1.i,
z__3.i = x[i__5].r * temp1.i + x[i__5].i *
temp1.r;
z__2.r = ap[i__4].r + z__3.r, z__2.i = ap[i__4].i +
z__3.i;
i__6 = i__;
z__4.r = y[i__6].r * temp2.r - y[i__6].i * temp2.i,
z__4.i = y[i__6].r * temp2.i + y[i__6].i *
temp2.r;
z__1.r = z__2.r + z__4.r, z__1.i = z__2.i + z__4.i;
ap[i__3].r = z__1.r, ap[i__3].i = z__1.i;
++k;
/* L10: */
}
i__2 = kk + j - 1;
i__3 = kk + j - 1;
i__4 = j;
z__2.r = x[i__4].r * temp1.r - x[i__4].i * temp1.i,
z__2.i = x[i__4].r * temp1.i + x[i__4].i *
temp1.r;
i__5 = j;
z__3.r = y[i__5].r * temp2.r - y[i__5].i * temp2.i,
z__3.i = y[i__5].r * temp2.i + y[i__5].i *
temp2.r;
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i + z__3.i;
d__1 = ap[i__3].r + z__1.r;
ap[i__2].r = d__1, ap[i__2].i = 0.;
} else {
i__2 = kk + j - 1;
i__3 = kk + j - 1;
d__1 = ap[i__3].r;
ap[i__2].r = d__1, ap[i__2].i = 0.;
}
kk += j;
/* L20: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = jx;
i__3 = jy;
if (x[i__2].r != 0. || x[i__2].i != 0. || (y[i__3].r != 0. ||
y[i__3].i != 0.)) {
d_cnjg(&z__2, &y[jy]);
z__1.r = alpha->r * z__2.r - alpha->i * z__2.i, z__1.i =
alpha->r * z__2.i + alpha->i * z__2.r;
temp1.r = z__1.r, temp1.i = z__1.i;
i__2 = jx;
z__2.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i,
z__2.i = alpha->r * x[i__2].i + alpha->i * x[i__2]
.r;
d_cnjg(&z__1, &z__2);
temp2.r = z__1.r, temp2.i = z__1.i;
ix = kx;
iy = ky;
i__2 = kk + j - 2;
for (k = kk; k <= i__2; ++k) {
i__3 = k;
i__4 = k;
i__5 = ix;
z__3.r = x[i__5].r * temp1.r - x[i__5].i * temp1.i,
z__3.i = x[i__5].r * temp1.i + x[i__5].i *
temp1.r;
z__2.r = ap[i__4].r + z__3.r, z__2.i = ap[i__4].i +
z__3.i;
i__6 = iy;
z__4.r = y[i__6].r * temp2.r - y[i__6].i * temp2.i,
z__4.i = y[i__6].r * temp2.i + y[i__6].i *
temp2.r;
z__1.r = z__2.r + z__4.r, z__1.i = z__2.i + z__4.i;
ap[i__3].r = z__1.r, ap[i__3].i = z__1.i;
ix += *incx;
iy += *incy;
/* L30: */
}
i__2 = kk + j - 1;
i__3 = kk + j - 1;
i__4 = jx;
z__2.r = x[i__4].r * temp1.r - x[i__4].i * temp1.i,
z__2.i = x[i__4].r * temp1.i + x[i__4].i *
temp1.r;
i__5 = jy;
z__3.r = y[i__5].r * temp2.r - y[i__5].i * temp2.i,
z__3.i = y[i__5].r * temp2.i + y[i__5].i *
temp2.r;
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i + z__3.i;
d__1 = ap[i__3].r + z__1.r;
ap[i__2].r = d__1, ap[i__2].i = 0.;
} else {
i__2 = kk + j - 1;
i__3 = kk + j - 1;
d__1 = ap[i__3].r;
ap[i__2].r = d__1, ap[i__2].i = 0.;
}
jx += *incx;
jy += *incy;
kk += j;
/* L40: */
}
}
} else {
/* Form A when lower triangle is stored in AP. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
i__3 = j;
if (x[i__2].r != 0. || x[i__2].i != 0. || (y[i__3].r != 0. ||
y[i__3].i != 0.)) {
d_cnjg(&z__2, &y[j]);
z__1.r = alpha->r * z__2.r - alpha->i * z__2.i, z__1.i =
alpha->r * z__2.i + alpha->i * z__2.r;
temp1.r = z__1.r, temp1.i = z__1.i;
i__2 = j;
z__2.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i,
z__2.i = alpha->r * x[i__2].i + alpha->i * x[i__2]
.r;
d_cnjg(&z__1, &z__2);
temp2.r = z__1.r, temp2.i = z__1.i;
i__2 = kk;
i__3 = kk;
i__4 = j;
z__2.r = x[i__4].r * temp1.r - x[i__4].i * temp1.i,
z__2.i = x[i__4].r * temp1.i + x[i__4].i *
temp1.r;
i__5 = j;
z__3.r = y[i__5].r * temp2.r - y[i__5].i * temp2.i,
z__3.i = y[i__5].r * temp2.i + y[i__5].i *
temp2.r;
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i + z__3.i;
d__1 = ap[i__3].r + z__1.r;
ap[i__2].r = d__1, ap[i__2].i = 0.;
k = kk + 1;
i__2 = *n;
for (i__ = j + 1; i__ <= i__2; ++i__) {
i__3 = k;
i__4 = k;
i__5 = i__;
z__3.r = x[i__5].r * temp1.r - x[i__5].i * temp1.i,
z__3.i = x[i__5].r * temp1.i + x[i__5].i *
temp1.r;
z__2.r = ap[i__4].r + z__3.r, z__2.i = ap[i__4].i +
z__3.i;
i__6 = i__;
z__4.r = y[i__6].r * temp2.r - y[i__6].i * temp2.i,
z__4.i = y[i__6].r * temp2.i + y[i__6].i *
temp2.r;
z__1.r = z__2.r + z__4.r, z__1.i = z__2.i + z__4.i;
ap[i__3].r = z__1.r, ap[i__3].i = z__1.i;
++k;
/* L50: */
}
} else {
i__2 = kk;
i__3 = kk;
d__1 = ap[i__3].r;
ap[i__2].r = d__1, ap[i__2].i = 0.;
}
kk = kk + *n - j + 1;
/* L60: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = jx;
i__3 = jy;
if (x[i__2].r != 0. || x[i__2].i != 0. || (y[i__3].r != 0. ||
y[i__3].i != 0.)) {
d_cnjg(&z__2, &y[jy]);
z__1.r = alpha->r * z__2.r - alpha->i * z__2.i, z__1.i =
alpha->r * z__2.i + alpha->i * z__2.r;
temp1.r = z__1.r, temp1.i = z__1.i;
i__2 = jx;
z__2.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i,
z__2.i = alpha->r * x[i__2].i + alpha->i * x[i__2]
.r;
d_cnjg(&z__1, &z__2);
temp2.r = z__1.r, temp2.i = z__1.i;
i__2 = kk;
i__3 = kk;
i__4 = jx;
z__2.r = x[i__4].r * temp1.r - x[i__4].i * temp1.i,
z__2.i = x[i__4].r * temp1.i + x[i__4].i *
temp1.r;
i__5 = jy;
z__3.r = y[i__5].r * temp2.r - y[i__5].i * temp2.i,
z__3.i = y[i__5].r * temp2.i + y[i__5].i *
temp2.r;
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i + z__3.i;
d__1 = ap[i__3].r + z__1.r;
ap[i__2].r = d__1, ap[i__2].i = 0.;
ix = jx;
iy = jy;
i__2 = kk + *n - j;
for (k = kk + 1; k <= i__2; ++k) {
ix += *incx;
iy += *incy;
i__3 = k;
i__4 = k;
i__5 = ix;
z__3.r = x[i__5].r * temp1.r - x[i__5].i * temp1.i,
z__3.i = x[i__5].r * temp1.i + x[i__5].i *
temp1.r;
z__2.r = ap[i__4].r + z__3.r, z__2.i = ap[i__4].i +
z__3.i;
i__6 = iy;
z__4.r = y[i__6].r * temp2.r - y[i__6].i * temp2.i,
z__4.i = y[i__6].r * temp2.i + y[i__6].i *
temp2.r;
z__1.r = z__2.r + z__4.r, z__1.i = z__2.i + z__4.i;
ap[i__3].r = z__1.r, ap[i__3].i = z__1.i;
/* L70: */
}
} else {
i__2 = kk;
i__3 = kk;
d__1 = ap[i__3].r;
ap[i__2].r = d__1, ap[i__2].i = 0.;
}
jx += *incx;
jy += *incy;
kk = kk + *n - j + 1;
/* L80: */
}
}
}
return 0;
/* End of ZHPR2 . */
} /* zhpr2_ */
#endif

748
frame/compat/f2c/bla_sbmv.c Normal file
View File

@@ -0,0 +1,748 @@
/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2013, The University of Texas
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 of The University of Texas 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 "blis2.h"
#ifdef BLIS_ENABLE_BLAS2BLIS
#include "bl2_f2c.h"
/* dsbmv.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,sbmv)(char *uplo, integer *n, integer *k, doublereal *
alpha, doublereal *a, integer *lda, doublereal *x, integer *incx,
doublereal *beta, doublereal *y, integer *incy)
{
/* System generated locals */
integer a_dim1, a_offset, i__1, i__2, i__3, i__4;
/* Local variables */
integer info;
doublereal temp1, temp2;
integer i__, j, l;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer kplus1, ix, iy, jx, jy, kx, ky;
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* DSBMV 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 band matrix, with k super-diagonals. */
/* Parameters */
/* ========== */
/* UPLO - CHARACTER*1. */
/* On entry, UPLO specifies whether the upper or lower */
/* triangular part of the band matrix A is being supplied as */
/* follows: */
/* UPLO = 'U' or 'u' The upper triangular part of A is */
/* being supplied. */
/* UPLO = 'L' or 'l' The lower triangular part of A is */
/* being supplied. */
/* Unchanged on exit. */
/* N - INTEGER. */
/* On entry, N specifies the order of the matrix A. */
/* N must be at least zero. */
/* Unchanged on exit. */
/* K - INTEGER. */
/* On entry, K specifies the number of super-diagonals of the */
/* matrix A. K must satisfy 0 .le. K. */
/* Unchanged on exit. */
/* ALPHA - DOUBLE PRECISION. */
/* On entry, ALPHA specifies the scalar alpha. */
/* Unchanged on exit. */
/* A - DOUBLE PRECISION array of DIMENSION ( LDA, n ). */
/* Before entry with UPLO = 'U' or 'u', the leading ( k + 1 ) */
/* by n part of the array A must contain the upper triangular */
/* band part of the symmetric matrix, supplied column by */
/* column, with the leading diagonal of the matrix in row */
/* ( k + 1 ) of the array, the first super-diagonal starting at */
/* position 2 in row k, and so on. The top left k by k triangle */
/* of the array A is not referenced. */
/* The following program segment will transfer the upper */
/* triangular part of a symmetric band matrix from conventional */
/* full matrix storage to band storage: */
/* DO 20, J = 1, N */
/* M = K + 1 - J */
/* DO 10, I = MAX( 1, J - K ), J */
/* A( M + I, J ) = matrix( I, J ) */
/* 10 CONTINUE */
/* 20 CONTINUE */
/* Before entry with UPLO = 'L' or 'l', the leading ( k + 1 ) */
/* by n part of the array A must contain the lower triangular */
/* band part of the symmetric matrix, supplied column by */
/* column, with the leading diagonal of the matrix in row 1 of */
/* the array, the first sub-diagonal starting at position 1 in */
/* row 2, and so on. The bottom right k by k triangle of the */
/* array A is not referenced. */
/* The following program segment will transfer the lower */
/* triangular part of a symmetric band matrix from conventional */
/* full matrix storage to band storage: */
/* DO 20, J = 1, N */
/* M = 1 - J */
/* DO 10, I = J, MIN( N, J + K ) */
/* A( M + I, J ) = matrix( I, J ) */
/* 10 CONTINUE */
/* 20 CONTINUE */
/* Unchanged on exit. */
/* LDA - INTEGER. */
/* On entry, LDA specifies the first dimension of A as declared */
/* in the calling (sub) program. LDA must be at least */
/* ( k + 1 ). */
/* 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 */
/* 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. */
/* 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 */
/* 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 .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/* Parameter adjustments */
a_dim1 = *lda;
a_offset = 1 + a_dim1 * 1;
a -= a_offset;
--x;
--y;
/* Function Body */
info = 0;
if (! lsame_(uplo, "U", (ftnlen)1, (ftnlen)1) && ! lsame_(uplo, "L", (
ftnlen)1, (ftnlen)1)) {
info = 1;
} else if (*n < 0) {
info = 2;
} else if (*k < 0) {
info = 3;
} else if (*lda < *k + 1) {
info = 6;
} else if (*incx == 0) {
info = 8;
} else if (*incy == 0) {
info = 11;
}
if (info != 0) {
xerbla_("DSBMV ", &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 A */
/* are accessed sequentially with one pass through A. */
/* 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;
}
if (lsame_(uplo, "U", (ftnlen)1, (ftnlen)1)) {
/* Form y when upper triangle of A is stored. */
kplus1 = *k + 1;
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
temp1 = *alpha * x[j];
temp2 = 0.;
l = kplus1 - j;
/* Computing MAX */
i__2 = 1, i__3 = j - *k;
i__4 = j - 1;
for (i__ = max(i__2,i__3); i__ <= i__4; ++i__) {
y[i__] += temp1 * a[l + i__ + j * a_dim1];
temp2 += a[l + i__ + j * a_dim1] * x[i__];
/* L50: */
}
y[j] = y[j] + temp1 * a[kplus1 + j * a_dim1] + *alpha * temp2;
/* 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;
l = kplus1 - j;
/* Computing MAX */
i__4 = 1, i__2 = j - *k;
i__3 = j - 1;
for (i__ = max(i__4,i__2); i__ <= i__3; ++i__) {
y[iy] += temp1 * a[l + i__ + j * a_dim1];
temp2 += a[l + i__ + j * a_dim1] * x[ix];
ix += *incx;
iy += *incy;
/* L70: */
}
y[jy] = y[jy] + temp1 * a[kplus1 + j * a_dim1] + *alpha *
temp2;
jx += *incx;
jy += *incy;
if (j > *k) {
kx += *incx;
ky += *incy;
}
/* L80: */
}
}
} else {
/* Form y when lower triangle of A is stored. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
temp1 = *alpha * x[j];
temp2 = 0.;
y[j] += temp1 * a[j * a_dim1 + 1];
l = 1 - j;
/* Computing MIN */
i__4 = *n, i__2 = j + *k;
i__3 = min(i__4,i__2);
for (i__ = j + 1; i__ <= i__3; ++i__) {
y[i__] += temp1 * a[l + i__ + j * a_dim1];
temp2 += a[l + i__ + j * a_dim1] * x[i__];
/* L90: */
}
y[j] += *alpha * temp2;
/* 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 * a[j * a_dim1 + 1];
l = 1 - j;
ix = jx;
iy = jy;
/* Computing MIN */
i__4 = *n, i__2 = j + *k;
i__3 = min(i__4,i__2);
for (i__ = j + 1; i__ <= i__3; ++i__) {
ix += *incx;
iy += *incy;
y[iy] += temp1 * a[l + i__ + j * a_dim1];
temp2 += a[l + i__ + j * a_dim1] * x[ix];
/* L110: */
}
y[jy] += *alpha * temp2;
jx += *incx;
jy += *incy;
/* L120: */
}
}
}
return 0;
/* End of DSBMV . */
} /* dsbmv_ */
/* ssbmv.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,sbmv)(char *uplo, integer *n, integer *k, real *alpha,
real *a, integer *lda, real *x, integer *incx, real *beta, real *y,
integer *incy)
{
/* System generated locals */
integer a_dim1, a_offset, i__1, i__2, i__3, i__4;
/* Local variables */
integer info;
real temp1, temp2;
integer i__, j, l;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer kplus1, ix, iy, jx, jy, kx, ky;
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* SSBMV 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 band matrix, with k super-diagonals. */
/* Parameters */
/* ========== */
/* UPLO - CHARACTER*1. */
/* On entry, UPLO specifies whether the upper or lower */
/* triangular part of the band matrix A is being supplied as */
/* follows: */
/* UPLO = 'U' or 'u' The upper triangular part of A is */
/* being supplied. */
/* UPLO = 'L' or 'l' The lower triangular part of A is */
/* being supplied. */
/* Unchanged on exit. */
/* N - INTEGER. */
/* On entry, N specifies the order of the matrix A. */
/* N must be at least zero. */
/* Unchanged on exit. */
/* K - INTEGER. */
/* On entry, K specifies the number of super-diagonals of the */
/* matrix A. K must satisfy 0 .le. K. */
/* Unchanged on exit. */
/* ALPHA - REAL . */
/* On entry, ALPHA specifies the scalar alpha. */
/* Unchanged on exit. */
/* A - REAL array of DIMENSION ( LDA, n ). */
/* Before entry with UPLO = 'U' or 'u', the leading ( k + 1 ) */
/* by n part of the array A must contain the upper triangular */
/* band part of the symmetric matrix, supplied column by */
/* column, with the leading diagonal of the matrix in row */
/* ( k + 1 ) of the array, the first super-diagonal starting at */
/* position 2 in row k, and so on. The top left k by k triangle */
/* of the array A is not referenced. */
/* The following program segment will transfer the upper */
/* triangular part of a symmetric band matrix from conventional */
/* full matrix storage to band storage: */
/* DO 20, J = 1, N */
/* M = K + 1 - J */
/* DO 10, I = MAX( 1, J - K ), J */
/* A( M + I, J ) = matrix( I, J ) */
/* 10 CONTINUE */
/* 20 CONTINUE */
/* Before entry with UPLO = 'L' or 'l', the leading ( k + 1 ) */
/* by n part of the array A must contain the lower triangular */
/* band part of the symmetric matrix, supplied column by */
/* column, with the leading diagonal of the matrix in row 1 of */
/* the array, the first sub-diagonal starting at position 1 in */
/* row 2, and so on. The bottom right k by k triangle of the */
/* array A is not referenced. */
/* The following program segment will transfer the lower */
/* triangular part of a symmetric band matrix from conventional */
/* full matrix storage to band storage: */
/* DO 20, J = 1, N */
/* M = 1 - J */
/* DO 10, I = J, MIN( N, J + K ) */
/* A( M + I, J ) = matrix( I, J ) */
/* 10 CONTINUE */
/* 20 CONTINUE */
/* Unchanged on exit. */
/* LDA - INTEGER. */
/* On entry, LDA specifies the first dimension of A as declared */
/* in the calling (sub) program. LDA must be at least */
/* ( k + 1 ). */
/* Unchanged on exit. */
/* X - REAL array of DIMENSION at least */
/* ( 1 + ( n - 1 )*abs( INCX ) ). */
/* Before entry, the incremented array X must contain the */
/* 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. */
/* Unchanged on exit. */
/* Y - REAL array of DIMENSION at least */
/* ( 1 + ( n - 1 )*abs( INCY ) ). */
/* Before entry, the incremented array Y must contain the */
/* 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 .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/* Parameter adjustments */
a_dim1 = *lda;
a_offset = 1 + a_dim1 * 1;
a -= a_offset;
--x;
--y;
/* Function Body */
info = 0;
if (! lsame_(uplo, "U", (ftnlen)1, (ftnlen)1) && ! lsame_(uplo, "L", (
ftnlen)1, (ftnlen)1)) {
info = 1;
} else if (*n < 0) {
info = 2;
} else if (*k < 0) {
info = 3;
} else if (*lda < *k + 1) {
info = 6;
} else if (*incx == 0) {
info = 8;
} else if (*incy == 0) {
info = 11;
}
if (info != 0) {
xerbla_("SSBMV ", &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 A */
/* are accessed sequentially with one pass through A. */
/* 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;
}
if (lsame_(uplo, "U", (ftnlen)1, (ftnlen)1)) {
/* Form y when upper triangle of A is stored. */
kplus1 = *k + 1;
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
temp1 = *alpha * x[j];
temp2 = 0.f;
l = kplus1 - j;
/* Computing MAX */
i__2 = 1, i__3 = j - *k;
i__4 = j - 1;
for (i__ = max(i__2,i__3); i__ <= i__4; ++i__) {
y[i__] += temp1 * a[l + i__ + j * a_dim1];
temp2 += a[l + i__ + j * a_dim1] * x[i__];
/* L50: */
}
y[j] = y[j] + temp1 * a[kplus1 + j * a_dim1] + *alpha * temp2;
/* 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;
l = kplus1 - j;
/* Computing MAX */
i__4 = 1, i__2 = j - *k;
i__3 = j - 1;
for (i__ = max(i__4,i__2); i__ <= i__3; ++i__) {
y[iy] += temp1 * a[l + i__ + j * a_dim1];
temp2 += a[l + i__ + j * a_dim1] * x[ix];
ix += *incx;
iy += *incy;
/* L70: */
}
y[jy] = y[jy] + temp1 * a[kplus1 + j * a_dim1] + *alpha *
temp2;
jx += *incx;
jy += *incy;
if (j > *k) {
kx += *incx;
ky += *incy;
}
/* L80: */
}
}
} else {
/* Form y when lower triangle of A is stored. */
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 * a[j * a_dim1 + 1];
l = 1 - j;
/* Computing MIN */
i__4 = *n, i__2 = j + *k;
i__3 = min(i__4,i__2);
for (i__ = j + 1; i__ <= i__3; ++i__) {
y[i__] += temp1 * a[l + i__ + j * a_dim1];
temp2 += a[l + i__ + j * a_dim1] * x[i__];
/* L90: */
}
y[j] += *alpha * temp2;
/* 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 * a[j * a_dim1 + 1];
l = 1 - j;
ix = jx;
iy = jy;
/* Computing MIN */
i__4 = *n, i__2 = j + *k;
i__3 = min(i__4,i__2);
for (i__ = j + 1; i__ <= i__3; ++i__) {
ix += *incx;
iy += *incy;
y[iy] += temp1 * a[l + i__ + j * a_dim1];
temp2 += a[l + i__ + j * a_dim1] * x[ix];
/* L110: */
}
y[jy] += *alpha * temp2;
jx += *incx;
jy += *incy;
/* L120: */
}
}
}
return 0;
/* End of SSBMV . */
} /* ssbmv_ */
#endif

647
frame/compat/f2c/bla_spmv.c Normal file
View File

@@ -0,0 +1,647 @@
/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2013, The University of Texas
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 of The University of Texas 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 "blis2.h"
#ifdef BLIS_ENABLE_BLAS2BLIS
#include "bl2_f2c.h"
/* 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)(char *uplo, integer *n, doublereal *alpha,
doublereal *ap, doublereal *x, integer *incx, doublereal *beta,
doublereal *y, integer *incy)
{
/* System generated locals */
integer i__1, i__2;
/* Local variables */
integer info;
doublereal temp1, temp2;
integer i__, j, k;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer kk, ix, iy, jx, jy, kx, ky;
extern /* Subroutine */ int xerbla_(char *, 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 (! lsame_(uplo, "U", (ftnlen)1, (ftnlen)1) && ! 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) {
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 (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)(char *uplo, integer *n, real *alpha, real *ap,
real *x, integer *incx, real *beta, real *y, integer *incy)
{
/* System generated locals */
integer i__1, i__2;
/* Local variables */
integer info;
real temp1, temp2;
integer i__, j, k;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer kk, ix, iy, jx, jy, kx, ky;
extern /* Subroutine */ int xerbla_(char *, 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 (! lsame_(uplo, "U", (ftnlen)1, (ftnlen)1) && ! 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) {
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 (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

498
frame/compat/f2c/bla_spr.c Normal file
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@@ -0,0 +1,498 @@
/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2013, The University of Texas
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 of The University of Texas 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 "blis2.h"
#ifdef BLIS_ENABLE_BLAS2BLIS
#include "bl2_f2c.h"
/* dspr.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,spr)(char *uplo, integer *n, doublereal *alpha,
doublereal *x, integer *incx, doublereal *ap)
{
/* System generated locals */
integer i__1, i__2;
/* Local variables */
integer info;
doublereal temp;
integer i__, j, k;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer kk, ix, jx, kx = 0;
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* DSPR performs the symmetric rank 1 operation */
/* A := alpha*x*x' + A, */
/* where alpha is a real scalar, x is an n element vector 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. */
/* 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. */
/* 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. On exit, the array */
/* AP is overwritten by the upper triangular part of the */
/* updated matrix. */
/* 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. On exit, the array */
/* AP is overwritten by the lower triangular part of the */
/* updated matrix. */
/* 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 */
--ap;
--x;
/* Function Body */
info = 0;
if (! lsame_(uplo, "U", (ftnlen)1, (ftnlen)1) && ! lsame_(uplo, "L", (
ftnlen)1, (ftnlen)1)) {
info = 1;
} else if (*n < 0) {
info = 2;
} else if (*incx == 0) {
info = 5;
}
if (info != 0) {
xerbla_("DSPR ", &info, (ftnlen)6);
return 0;
}
/* Quick return if possible. */
if (*n == 0 || *alpha == 0.) {
return 0;
}
/* Set the start point in X if the increment is not unity. */
if (*incx <= 0) {
kx = 1 - (*n - 1) * *incx;
} else if (*incx != 1) {
kx = 1;
}
/* Start the operations. In this version the elements of the array AP */
/* are accessed sequentially with one pass through AP. */
kk = 1;
if (lsame_(uplo, "U", (ftnlen)1, (ftnlen)1)) {
/* Form A when upper triangle is stored in AP. */
if (*incx == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[j] != 0.) {
temp = *alpha * x[j];
k = kk;
i__2 = j;
for (i__ = 1; i__ <= i__2; ++i__) {
ap[k] += x[i__] * temp;
++k;
/* L10: */
}
}
kk += j;
/* L20: */
}
} else {
jx = kx;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[jx] != 0.) {
temp = *alpha * x[jx];
ix = kx;
i__2 = kk + j - 1;
for (k = kk; k <= i__2; ++k) {
ap[k] += x[ix] * temp;
ix += *incx;
/* L30: */
}
}
jx += *incx;
kk += j;
/* L40: */
}
}
} else {
/* Form A when lower triangle is stored in AP. */
if (*incx == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[j] != 0.) {
temp = *alpha * x[j];
k = kk;
i__2 = *n;
for (i__ = j; i__ <= i__2; ++i__) {
ap[k] += x[i__] * temp;
++k;
/* L50: */
}
}
kk = kk + *n - j + 1;
/* L60: */
}
} else {
jx = kx;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[jx] != 0.) {
temp = *alpha * x[jx];
ix = jx;
i__2 = kk + *n - j;
for (k = kk; k <= i__2; ++k) {
ap[k] += x[ix] * temp;
ix += *incx;
/* L70: */
}
}
jx += *incx;
kk = kk + *n - j + 1;
/* L80: */
}
}
}
return 0;
/* End of DSPR . */
} /* dspr_ */
/* sspr.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,spr)(char *uplo, integer *n, real *alpha, real *x,
integer *incx, real *ap)
{
/* System generated locals */
integer i__1, i__2;
/* Local variables */
integer info;
real temp;
integer i__, j, k;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer kk, ix, jx, kx = 0;
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* SSPR performs the symmetric rank 1 operation */
/* A := alpha*x*x' + A, */
/* where alpha is a real scalar, x is an n element vector 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. */
/* 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. */
/* 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. On exit, the array */
/* AP is overwritten by the upper triangular part of the */
/* updated matrix. */
/* 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. On exit, the array */
/* AP is overwritten by the lower triangular part of the */
/* updated matrix. */
/* 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 */
--ap;
--x;
/* Function Body */
info = 0;
if (! lsame_(uplo, "U", (ftnlen)1, (ftnlen)1) && ! lsame_(uplo, "L", (
ftnlen)1, (ftnlen)1)) {
info = 1;
} else if (*n < 0) {
info = 2;
} else if (*incx == 0) {
info = 5;
}
if (info != 0) {
xerbla_("SSPR ", &info, (ftnlen)6);
return 0;
}
/* Quick return if possible. */
if (*n == 0 || *alpha == 0.f) {
return 0;
}
/* Set the start point in X if the increment is not unity. */
if (*incx <= 0) {
kx = 1 - (*n - 1) * *incx;
} else if (*incx != 1) {
kx = 1;
}
/* Start the operations. In this version the elements of the array AP */
/* are accessed sequentially with one pass through AP. */
kk = 1;
if (lsame_(uplo, "U", (ftnlen)1, (ftnlen)1)) {
/* Form A when upper triangle is stored in AP. */
if (*incx == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[j] != 0.f) {
temp = *alpha * x[j];
k = kk;
i__2 = j;
for (i__ = 1; i__ <= i__2; ++i__) {
ap[k] += x[i__] * temp;
++k;
/* L10: */
}
}
kk += j;
/* L20: */
}
} else {
jx = kx;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[jx] != 0.f) {
temp = *alpha * x[jx];
ix = kx;
i__2 = kk + j - 1;
for (k = kk; k <= i__2; ++k) {
ap[k] += x[ix] * temp;
ix += *incx;
/* L30: */
}
}
jx += *incx;
kk += j;
/* L40: */
}
}
} else {
/* Form A when lower triangle is stored in AP. */
if (*incx == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[j] != 0.f) {
temp = *alpha * x[j];
k = kk;
i__2 = *n;
for (i__ = j; i__ <= i__2; ++i__) {
ap[k] += x[i__] * temp;
++k;
/* L50: */
}
}
kk = kk + *n - j + 1;
/* L60: */
}
} else {
jx = kx;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[jx] != 0.f) {
temp = *alpha * x[jx];
ix = jx;
i__2 = kk + *n - j;
for (k = kk; k <= i__2; ++k) {
ap[k] += x[ix] * temp;
ix += *incx;
/* L70: */
}
}
jx += *incx;
kk = kk + *n - j + 1;
/* L80: */
}
}
}
return 0;
/* End of SSPR . */
} /* sspr_ */
#endif

563
frame/compat/f2c/bla_spr2.c Normal file
View File

@@ -0,0 +1,563 @@
/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2013, The University of Texas
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 of The University of Texas 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 "blis2.h"
#ifdef BLIS_ENABLE_BLAS2BLIS
#include "bl2_f2c.h"
/* dspr2.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,spr2)(char *uplo, integer *n, doublereal *alpha,
doublereal *x, integer *incx, doublereal *y, integer *incy,
doublereal *ap)
{
/* System generated locals */
integer i__1, i__2;
/* Local variables */
integer info;
doublereal temp1, temp2;
integer i__, j, k;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer kk, ix, iy, jx = 0, jy = 0, kx = 0, ky = 0;
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* DSPR2 performs the symmetric rank 2 operation */
/* A := alpha*x*y' + alpha*y*x' + A, */
/* where alpha is a scalar, 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. */
/* 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. */
/* 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. */
/* Unchanged on exit. */
/* INCY - INTEGER. */
/* On entry, INCY specifies the increment for the elements of */
/* Y. INCY must not be zero. */
/* 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. On exit, the array */
/* AP is overwritten by the upper triangular part of the */
/* updated matrix. */
/* 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. On exit, the array */
/* AP is overwritten by the lower triangular part of the */
/* updated matrix. */
/* 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 */
--ap;
--y;
--x;
/* Function Body */
info = 0;
if (! lsame_(uplo, "U", (ftnlen)1, (ftnlen)1) && ! lsame_(uplo, "L", (
ftnlen)1, (ftnlen)1)) {
info = 1;
} else if (*n < 0) {
info = 2;
} else if (*incx == 0) {
info = 5;
} else if (*incy == 0) {
info = 7;
}
if (info != 0) {
xerbla_("DSPR2 ", &info, (ftnlen)6);
return 0;
}
/* Quick return if possible. */
if (*n == 0 || *alpha == 0.) {
return 0;
}
/* Set up the start points in X and Y if the increments are not both */
/* unity. */
if (*incx != 1 || *incy != 1) {
if (*incx > 0) {
kx = 1;
} else {
kx = 1 - (*n - 1) * *incx;
}
if (*incy > 0) {
ky = 1;
} else {
ky = 1 - (*n - 1) * *incy;
}
jx = kx;
jy = ky;
}
/* Start the operations. In this version the elements of the array AP */
/* are accessed sequentially with one pass through AP. */
kk = 1;
if (lsame_(uplo, "U", (ftnlen)1, (ftnlen)1)) {
/* Form A when upper triangle is stored in AP. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[j] != 0. || y[j] != 0.) {
temp1 = *alpha * y[j];
temp2 = *alpha * x[j];
k = kk;
i__2 = j;
for (i__ = 1; i__ <= i__2; ++i__) {
ap[k] = ap[k] + x[i__] * temp1 + y[i__] * temp2;
++k;
/* L10: */
}
}
kk += j;
/* L20: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[jx] != 0. || y[jy] != 0.) {
temp1 = *alpha * y[jy];
temp2 = *alpha * x[jx];
ix = kx;
iy = ky;
i__2 = kk + j - 1;
for (k = kk; k <= i__2; ++k) {
ap[k] = ap[k] + x[ix] * temp1 + y[iy] * temp2;
ix += *incx;
iy += *incy;
/* L30: */
}
}
jx += *incx;
jy += *incy;
kk += j;
/* L40: */
}
}
} else {
/* Form A when lower triangle is stored in AP. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[j] != 0. || y[j] != 0.) {
temp1 = *alpha * y[j];
temp2 = *alpha * x[j];
k = kk;
i__2 = *n;
for (i__ = j; i__ <= i__2; ++i__) {
ap[k] = ap[k] + x[i__] * temp1 + y[i__] * temp2;
++k;
/* L50: */
}
}
kk = kk + *n - j + 1;
/* L60: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[jx] != 0. || y[jy] != 0.) {
temp1 = *alpha * y[jy];
temp2 = *alpha * x[jx];
ix = jx;
iy = jy;
i__2 = kk + *n - j;
for (k = kk; k <= i__2; ++k) {
ap[k] = ap[k] + x[ix] * temp1 + y[iy] * temp2;
ix += *incx;
iy += *incy;
/* L70: */
}
}
jx += *incx;
jy += *incy;
kk = kk + *n - j + 1;
/* L80: */
}
}
}
return 0;
/* End of DSPR2 . */
} /* dspr2_ */
/* sspr2.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,spr2)(char *uplo, integer *n, real *alpha, real *x,
integer *incx, real *y, integer *incy, real *ap)
{
/* System generated locals */
integer i__1, i__2;
/* Local variables */
integer info;
real temp1, temp2;
integer i__, j, k;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer kk, ix, iy, jx = 0, jy = 0, kx = 0, ky = 0;
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* SSPR2 performs the symmetric rank 2 operation */
/* A := alpha*x*y' + alpha*y*x' + A, */
/* where alpha is a scalar, 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. */
/* 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. */
/* 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. */
/* Unchanged on exit. */
/* INCY - INTEGER. */
/* On entry, INCY specifies the increment for the elements of */
/* Y. INCY must not be zero. */
/* 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. On exit, the array */
/* AP is overwritten by the upper triangular part of the */
/* updated matrix. */
/* 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. On exit, the array */
/* AP is overwritten by the lower triangular part of the */
/* updated matrix. */
/* 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 */
--ap;
--y;
--x;
/* Function Body */
info = 0;
if (! lsame_(uplo, "U", (ftnlen)1, (ftnlen)1) && ! lsame_(uplo, "L", (
ftnlen)1, (ftnlen)1)) {
info = 1;
} else if (*n < 0) {
info = 2;
} else if (*incx == 0) {
info = 5;
} else if (*incy == 0) {
info = 7;
}
if (info != 0) {
xerbla_("SSPR2 ", &info, (ftnlen)6);
return 0;
}
/* Quick return if possible. */
if (*n == 0 || *alpha == 0.f) {
return 0;
}
/* Set up the start points in X and Y if the increments are not both */
/* unity. */
if (*incx != 1 || *incy != 1) {
if (*incx > 0) {
kx = 1;
} else {
kx = 1 - (*n - 1) * *incx;
}
if (*incy > 0) {
ky = 1;
} else {
ky = 1 - (*n - 1) * *incy;
}
jx = kx;
jy = ky;
}
/* Start the operations. In this version the elements of the array AP */
/* are accessed sequentially with one pass through AP. */
kk = 1;
if (lsame_(uplo, "U", (ftnlen)1, (ftnlen)1)) {
/* Form A when upper triangle is stored in AP. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[j] != 0.f || y[j] != 0.f) {
temp1 = *alpha * y[j];
temp2 = *alpha * x[j];
k = kk;
i__2 = j;
for (i__ = 1; i__ <= i__2; ++i__) {
ap[k] = ap[k] + x[i__] * temp1 + y[i__] * temp2;
++k;
/* L10: */
}
}
kk += j;
/* L20: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[jx] != 0.f || y[jy] != 0.f) {
temp1 = *alpha * y[jy];
temp2 = *alpha * x[jx];
ix = kx;
iy = ky;
i__2 = kk + j - 1;
for (k = kk; k <= i__2; ++k) {
ap[k] = ap[k] + x[ix] * temp1 + y[iy] * temp2;
ix += *incx;
iy += *incy;
/* L30: */
}
}
jx += *incx;
jy += *incy;
kk += j;
/* L40: */
}
}
} else {
/* Form A when lower triangle is stored in AP. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[j] != 0.f || y[j] != 0.f) {
temp1 = *alpha * y[j];
temp2 = *alpha * x[j];
k = kk;
i__2 = *n;
for (i__ = j; i__ <= i__2; ++i__) {
ap[k] = ap[k] + x[i__] * temp1 + y[i__] * temp2;
++k;
/* L50: */
}
}
kk = kk + *n - j + 1;
/* L60: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (x[jx] != 0.f || y[jy] != 0.f) {
temp1 = *alpha * y[jy];
temp2 = *alpha * x[jx];
ix = jx;
iy = jy;
i__2 = kk + *n - j;
for (k = kk; k <= i__2; ++k) {
ap[k] = ap[k] + x[ix] * temp1 + y[iy] * temp2;
ix += *incx;
iy += *incy;
/* L70: */
}
}
jx += *incx;
jy += *incy;
kk = kk + *n - j + 1;
/* L80: */
}
}
}
return 0;
/* End of SSPR2 . */
} /* sspr2_ */
#endif

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2074
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1864
frame/compat/f2c/bla_tpmv.c Normal file

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@@ -0,0 +1,88 @@
/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2013, The University of Texas
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 of The University of Texas 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 "blis2.h"
#ifdef BLIS_ENABLE_BLAS2BLIS
#include "bl2_f2c.h"
#include "stdio.h"
/* xerbla.f -- translated by f2c (version 19991025).
You must link the resulting object file with the libraries:
-lf2c -lm (in that order)
*/
/* Table of constant values */
/* Subroutine */ int xerbla_(char *srname, integer *info, ftnlen srname_len)
{
/* -- LAPACK auxiliary routine (preliminary version) -- */
/* Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., */
/* Courant Institute, Argonne National Lab, and Rice University */
/* February 29, 1992 */
/* .. Scalar Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* XERBLA is an error handler for the LAPACK routines. */
/* It is called by an LAPACK routine if an input parameter has an */
/* invalid value. A message is printed and execution stops. */
/* Installers may consider modifying the STOP statement in order to */
/* call system-specific exception-handling facilities. */
/* Arguments */
/* ========= */
/* SRNAME (input) CHARACTER*6 */
/* The name of the routine which called XERBLA. */
/* INFO (input) INTEGER */
/* The position of the invalid parameter in the parameter list */
/* of the calling routine. */
printf("** On entry to %6s, parameter number %2i had an illegal value\n",
srname, (int)*info);
/* End of XERBLA */
return 0;
} /* xerbla_ */
#endif

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@@ -0,0 +1,54 @@
/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2013, The University of Texas
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 of The University of Texas 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 "blis2.h"
#ifdef BLIS_ENABLE_BLAS2BLIS
#include "bl2_f2c.h"
void c_div(complex *cp, complex *ap, complex *bp)
{
complex a = *ap;
complex b = *bp;
real temp;
temp = b.r * b.r + b.i * b.i;
cp->r = ( a.r * b.r + a.i * b.i ) / temp;
cp->i = ( a.i * b.r - a.r * b.i ) / temp;
}
#endif

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@@ -0,0 +1,48 @@
/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2013, The University of Texas
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 of The University of Texas 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 "blis2.h"
#ifdef BLIS_ENABLE_BLAS2BLIS
#include "bl2_f2c.h"
void d_cnjg(doublecomplex *dest, doublecomplex *src)
{
dest->r = src->r ;
dest->i = -(src->i);
}
#endif

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@@ -0,0 +1,47 @@
/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2013, The University of Texas
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 of The University of Texas 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 "blis2.h"
#ifdef BLIS_ENABLE_BLAS2BLIS
#include "bl2_f2c.h"
double d_imag(doublecomplex *z)
{
return(z->i);
}
#endif

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@@ -0,0 +1,48 @@
/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2013, The University of Texas
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 of The University of Texas 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 "blis2.h"
#ifdef BLIS_ENABLE_BLAS2BLIS
#include "bl2_f2c.h"
void r_cnjg(complex *dest, complex *src)
{
dest->r = src->r ;
dest->i = -(src->i);
}
#endif

View File

@@ -0,0 +1,47 @@
/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2013, The University of Texas
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 of The University of Texas 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 "blis2.h"
#ifdef BLIS_ENABLE_BLAS2BLIS
#include "bl2_f2c.h"
real r_imag(complex *z)
{
return(z->i);
}
#endif

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@@ -0,0 +1,54 @@
/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2013, The University of Texas
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 of The University of Texas 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 "blis2.h"
#ifdef BLIS_ENABLE_BLAS2BLIS
#include "bl2_f2c.h"
void z_div(doublecomplex *cp, doublecomplex *ap, doublecomplex *bp)
{
doublecomplex a = *ap;
doublecomplex b = *bp;
double temp;
temp = b.r * b.r + b.i * b.i;
cp->r = ( a.r * b.r + a.i * b.i ) / temp;
cp->i = ( a.i * b.r - a.r * b.i ) / temp;
}
#endif

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@@ -1 +1 @@
0.0.3
0.0.3-1