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* Revert "restore bli_extern_defs exporting for now" This reverts commit 09fb07c350b2acee17645e8e9e1b8d829c73dca8. * Remove symbols not intended to be public * No need of def file anymore * Fix whitespace * No need of configure option * Remove export macro from definitions * Remove blas export macro from definitions
837 lines
32 KiB
C
837 lines
32 KiB
C
/*
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BLIS
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An object-based framework for developing high-performance BLAS-like
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libraries.
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Copyright (C) 2014, The University of Texas at Austin
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions are
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met:
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- Redistributions of source code must retain the above copyright
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notice, this list of conditions and the following disclaimer.
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- Redistributions in binary form must reproduce the above copyright
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notice, this list of conditions and the following disclaimer in the
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documentation and/or other materials provided with the distribution.
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- Neither the name(s) of the copyright holder(s) nor the names of its
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contributors may be used to endorse or promote products derived
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from this software without specific prior written permission.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
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HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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#include "blis.h"
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#ifdef BLIS_ENABLE_BLAS
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/* chpmv.f -- translated by f2c (version 19991025).
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You must link the resulting object file with the libraries:
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-lf2c -lm (in that order)
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*/
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/* Subroutine */ int PASTEF77(c,hpmv)(const bla_character *uplo, const bla_integer *n, const bla_scomplex *alpha, const bla_scomplex * ap, const bla_scomplex *x, const bla_integer *incx, const bla_scomplex *beta, bla_scomplex *y, const bla_integer *incy)
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{
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/* System generated locals */
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bla_integer i__1, i__2, i__3, i__4, i__5;
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bla_real r__1;
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bla_scomplex q__1, q__2, q__3, q__4;
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/* Builtin functions */
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//void bla_r_cnjg(bla_scomplex *, bla_scomplex *);
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/* Local variables */
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bla_integer info;
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bla_scomplex temp1, temp2;
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bla_integer i__, j, k;
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//extern bla_logical PASTEF770(lsame)(bla_character *, bla_character *, ftnlen, ftnlen);
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bla_integer kk, ix, iy, jx, jy, kx, ky;
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//extern /* Subroutine */ int PASTEF770(xerbla)(bla_character *, bla_integer *, ftnlen);
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/* .. Scalar Arguments .. */
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/* .. Array Arguments .. */
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/* .. */
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/* Purpose */
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/* ======= */
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/* CHPMV performs the matrix-vector operation */
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/* y := alpha*A*x + beta*y, */
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/* where alpha and beta are scalars, x and y are n element vectors and */
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/* A is an n by n hermitian matrix, supplied in packed form. */
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/* Parameters */
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/* ========== */
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/* UPLO - CHARACTER*1. */
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/* On entry, UPLO specifies whether the upper or lower */
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/* triangular part of the matrix A is supplied in the packed */
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/* array AP as follows: */
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/* UPLO = 'U' or 'u' The upper triangular part of A is */
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/* supplied in AP. */
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/* UPLO = 'L' or 'l' The lower triangular part of A is */
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/* supplied in AP. */
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/* Unchanged on exit. */
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/* N - INTEGER. */
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/* On entry, N specifies the order of the matrix A. */
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/* N must be at least zero. */
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/* Unchanged on exit. */
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/* ALPHA - COMPLEX . */
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/* On entry, ALPHA specifies the scalar alpha. */
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/* Unchanged on exit. */
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/* AP - COMPLEX array of DIMENSION at least */
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/* ( ( n*( n + 1 ) )/2 ). */
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/* Before entry with UPLO = 'U' or 'u', the array AP must */
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/* contain the upper triangular part of the hermitian matrix */
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/* packed sequentially, column by column, so that AP( 1 ) */
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/* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 ) */
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/* and a( 2, 2 ) respectively, and so on. */
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/* Before entry with UPLO = 'L' or 'l', the array AP must */
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/* contain the lower triangular part of the hermitian matrix */
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/* packed sequentially, column by column, so that AP( 1 ) */
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/* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 ) */
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/* and a( 3, 1 ) respectively, and so on. */
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/* Note that the imaginary parts of the diagonal elements need */
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/* not be set and are assumed to be zero. */
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/* Unchanged on exit. */
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/* X - COMPLEX array of dimension at least */
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/* ( 1 + ( n - 1 )*abs( INCX ) ). */
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/* Before entry, the incremented array X must contain the n */
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/* element vector x. */
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/* Unchanged on exit. */
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/* INCX - INTEGER. */
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/* On entry, INCX specifies the increment for the elements of */
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/* X. INCX must not be zero. */
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/* Unchanged on exit. */
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/* BETA - COMPLEX . */
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/* On entry, BETA specifies the scalar beta. When BETA is */
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/* supplied as zero then Y need not be set on input. */
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/* Unchanged on exit. */
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/* Y - COMPLEX array of dimension at least */
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/* ( 1 + ( n - 1 )*abs( INCY ) ). */
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/* Before entry, the incremented array Y must contain the n */
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/* element vector y. On exit, Y is overwritten by the updated */
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/* vector y. */
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/* INCY - INTEGER. */
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/* On entry, INCY specifies the increment for the elements of */
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/* Y. INCY must not be zero. */
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/* Unchanged on exit. */
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/* Level 2 Blas routine. */
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/* -- Written on 22-October-1986. */
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/* Jack Dongarra, Argonne National Lab. */
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/* Jeremy Du Croz, Nag Central Office. */
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/* Sven Hammarling, Nag Central Office. */
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/* Richard Hanson, Sandia National Labs. */
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/* .. Parameters .. */
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/* .. Local Scalars .. */
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/* .. External Functions .. */
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/* .. External Subroutines .. */
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/* .. Intrinsic Functions .. */
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/* .. */
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/* .. Executable Statements .. */
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/* Test the input parameters. */
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/* Parameter adjustments */
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--y;
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--x;
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--ap;
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/* Function Body */
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info = 0;
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if (! PASTEF770(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1) && ! PASTEF770(lsame)(uplo, "L", (
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ftnlen)1, (ftnlen)1)) {
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info = 1;
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} else if (*n < 0) {
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info = 2;
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} else if (*incx == 0) {
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info = 6;
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} else if (*incy == 0) {
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info = 9;
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}
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if (info != 0) {
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PASTEF770(xerbla)("CHPMV ", &info, (ftnlen)6);
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return 0;
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}
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/* Quick return if possible. */
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if (*n == 0 || (bli_creal(*alpha) == 0.f && bli_cimag(*alpha) == 0.f && (bli_creal(*beta) == 1.f &&
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bli_cimag(*beta) == 0.f))) {
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return 0;
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}
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/* Set up the start points in X and Y. */
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if (*incx > 0) {
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kx = 1;
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} else {
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kx = 1 - (*n - 1) * *incx;
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}
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if (*incy > 0) {
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ky = 1;
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} else {
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ky = 1 - (*n - 1) * *incy;
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}
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/* Start the operations. In this version the elements of the array AP */
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/* are accessed sequentially with one pass through AP. */
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/* First form y := beta*y. */
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if (bli_creal(*beta) != 1.f || bli_cimag(*beta) != 0.f) {
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if (*incy == 1) {
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if (bli_creal(*beta) == 0.f && bli_cimag(*beta) == 0.f) {
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i__1 = *n;
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for (i__ = 1; i__ <= i__1; ++i__) {
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i__2 = i__;
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bli_csets( (0.f), (0.f), y[i__2] );
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/* L10: */
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}
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} else {
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i__1 = *n;
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for (i__ = 1; i__ <= i__1; ++i__) {
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i__2 = i__;
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i__3 = i__;
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bli_csets( (bli_creal(*beta) * bli_creal(y[i__3]) - bli_cimag(*beta) * bli_cimag(y[i__3])), (bli_creal(*beta) * bli_cimag(y[i__3]) + bli_cimag(*beta) * bli_creal(y[i__3])), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), y[i__2] );
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/* L20: */
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}
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}
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} else {
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iy = ky;
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if (bli_creal(*beta) == 0.f && bli_cimag(*beta) == 0.f) {
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i__1 = *n;
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for (i__ = 1; i__ <= i__1; ++i__) {
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i__2 = iy;
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bli_csets( (0.f), (0.f), y[i__2] );
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iy += *incy;
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/* L30: */
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}
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} else {
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i__1 = *n;
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for (i__ = 1; i__ <= i__1; ++i__) {
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i__2 = iy;
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i__3 = iy;
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bli_csets( (bli_creal(*beta) * bli_creal(y[i__3]) - bli_cimag(*beta) * bli_cimag(y[i__3])), (bli_creal(*beta) * bli_cimag(y[i__3]) + bli_cimag(*beta) * bli_creal(y[i__3])), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), y[i__2] );
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iy += *incy;
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/* L40: */
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}
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}
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}
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}
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if (bli_creal(*alpha) == 0.f && bli_cimag(*alpha) == 0.f) {
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return 0;
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}
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kk = 1;
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if (PASTEF770(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1)) {
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/* Form y when AP contains the upper triangle. */
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if (*incx == 1 && *incy == 1) {
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = j;
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bli_csets( (bli_creal(*alpha) * bli_creal(x[i__2]) - bli_cimag(*alpha) * bli_cimag(x[i__2])), (bli_creal(*alpha) * bli_cimag(x[i__2]) + bli_cimag(*alpha) * bli_creal(x[i__2])), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp1 );
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bli_csets( (0.f), (0.f), temp2 );
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k = kk;
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i__2 = j - 1;
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for (i__ = 1; i__ <= i__2; ++i__) {
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i__3 = i__;
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i__4 = i__;
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i__5 = k;
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bli_csets( (bli_creal(temp1) * bli_creal(ap[i__5]) - bli_cimag(temp1) * bli_cimag(ap[i__5])), (bli_creal(temp1) * bli_cimag(ap[i__5]) + bli_cimag(temp1) * bli_creal(ap[i__5])), q__2 );
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bli_csets( (bli_creal(y[i__4]) + bli_creal(q__2)), (bli_cimag(y[i__4]) + bli_cimag(q__2)), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), y[i__3] );
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bla_r_cnjg(&q__3, &ap[k]);
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i__3 = i__;
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bli_csets( (bli_creal(q__3) * bli_creal(x[i__3]) - bli_cimag(q__3) * bli_cimag(x[i__3])), (bli_creal(q__3) * bli_cimag(x[i__3]) + bli_cimag(q__3) * bli_creal(x[i__3])), q__2 );
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bli_csets( (bli_creal(temp2) + bli_creal(q__2)), (bli_cimag(temp2) + bli_cimag(q__2)), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp2 );
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++k;
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/* L50: */
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}
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i__2 = j;
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i__3 = j;
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i__4 = kk + j - 1;
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r__1 = bli_creal(ap[i__4]);
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bli_csets( (r__1 * bli_creal(temp1)), (r__1 * bli_cimag(temp1)), q__3 );
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bli_csets( (bli_creal(y[i__3]) + bli_creal(q__3)), (bli_cimag(y[i__3]) + bli_cimag(q__3)), q__2 );
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bli_csets( (bli_creal(*alpha) * bli_creal(temp2) - bli_cimag(*alpha) * bli_cimag(temp2)), (bli_creal(*alpha) * bli_cimag(temp2) + bli_cimag(*alpha) * bli_creal(temp2)), q__4 );
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bli_csets( (bli_creal(q__2) + bli_creal(q__4)), (bli_cimag(q__2) + bli_cimag(q__4)), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), y[i__2] );
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kk += j;
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/* L60: */
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}
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} else {
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jx = kx;
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jy = ky;
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = jx;
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bli_csets( (bli_creal(*alpha) * bli_creal(x[i__2]) - bli_cimag(*alpha) * bli_cimag(x[i__2])), (bli_creal(*alpha) * bli_cimag(x[i__2]) + bli_cimag(*alpha) * bli_creal(x[i__2])), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp1 );
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bli_csets( (0.f), (0.f), temp2 );
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ix = kx;
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iy = ky;
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i__2 = kk + j - 2;
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for (k = kk; k <= i__2; ++k) {
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i__3 = iy;
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i__4 = iy;
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i__5 = k;
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bli_csets( (bli_creal(temp1) * bli_creal(ap[i__5]) - bli_cimag(temp1) * bli_cimag(ap[i__5])), (bli_creal(temp1) * bli_cimag(ap[i__5]) + bli_cimag(temp1) * bli_creal(ap[i__5])), q__2 );
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bli_csets( (bli_creal(y[i__4]) + bli_creal(q__2)), (bli_cimag(y[i__4]) + bli_cimag(q__2)), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), y[i__3] );
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bla_r_cnjg(&q__3, &ap[k]);
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i__3 = ix;
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bli_csets( (bli_creal(q__3) * bli_creal(x[i__3]) - bli_cimag(q__3) * bli_cimag(x[i__3])), (bli_creal(q__3) * bli_cimag(x[i__3]) + bli_cimag(q__3) * bli_creal(x[i__3])), q__2 );
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bli_csets( (bli_creal(temp2) + bli_creal(q__2)), (bli_cimag(temp2) + bli_cimag(q__2)), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp2 );
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ix += *incx;
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iy += *incy;
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/* L70: */
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}
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i__2 = jy;
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i__3 = jy;
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i__4 = kk + j - 1;
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r__1 = bli_creal(ap[i__4]);
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bli_csets( (r__1 * bli_creal(temp1)), (r__1 * bli_cimag(temp1)), q__3 );
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bli_csets( (bli_creal(y[i__3]) + bli_creal(q__3)), (bli_cimag(y[i__3]) + bli_cimag(q__3)), q__2 );
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bli_csets( (bli_creal(*alpha) * bli_creal(temp2) - bli_cimag(*alpha) * bli_cimag(temp2)), (bli_creal(*alpha) * bli_cimag(temp2) + bli_cimag(*alpha) * bli_creal(temp2)), q__4 );
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bli_csets( (bli_creal(q__2) + bli_creal(q__4)), (bli_cimag(q__2) + bli_cimag(q__4)), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), y[i__2] );
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jx += *incx;
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jy += *incy;
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kk += j;
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/* L80: */
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}
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}
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} else {
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/* Form y when AP contains the lower triangle. */
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if (*incx == 1 && *incy == 1) {
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = j;
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bli_csets( (bli_creal(*alpha) * bli_creal(x[i__2]) - bli_cimag(*alpha) * bli_cimag(x[i__2])), (bli_creal(*alpha) * bli_cimag(x[i__2]) + bli_cimag(*alpha) * bli_creal(x[i__2])), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp1 );
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bli_csets( (0.f), (0.f), temp2 );
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i__2 = j;
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i__3 = j;
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i__4 = kk;
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r__1 = bli_creal(ap[i__4]);
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bli_csets( (r__1 * bli_creal(temp1)), (r__1 * bli_cimag(temp1)), q__2 );
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bli_csets( (bli_creal(y[i__3]) + bli_creal(q__2)), (bli_cimag(y[i__3]) + bli_cimag(q__2)), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), y[i__2] );
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k = kk + 1;
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i__2 = *n;
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for (i__ = j + 1; i__ <= i__2; ++i__) {
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i__3 = i__;
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i__4 = i__;
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i__5 = k;
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bli_csets( (bli_creal(temp1) * bli_creal(ap[i__5]) - bli_cimag(temp1) * bli_cimag(ap[i__5])), (bli_creal(temp1) * bli_cimag(ap[i__5]) + bli_cimag(temp1) * bli_creal(ap[i__5])), q__2 );
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bli_csets( (bli_creal(y[i__4]) + bli_creal(q__2)), (bli_cimag(y[i__4]) + bli_cimag(q__2)), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), y[i__3] );
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bla_r_cnjg(&q__3, &ap[k]);
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|
i__3 = i__;
|
|
bli_csets( (bli_creal(q__3) * bli_creal(x[i__3]) - bli_cimag(q__3) * bli_cimag(x[i__3])), (bli_creal(q__3) * bli_cimag(x[i__3]) + bli_cimag(q__3) * bli_creal(x[i__3])), q__2 );
|
|
bli_csets( (bli_creal(temp2) + bli_creal(q__2)), (bli_cimag(temp2) + bli_cimag(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp2 );
|
|
++k;
|
|
/* L90: */
|
|
}
|
|
i__2 = j;
|
|
i__3 = j;
|
|
bli_csets( (bli_creal(*alpha) * bli_creal(temp2) - bli_cimag(*alpha) * bli_cimag(temp2)), (bli_creal(*alpha) * bli_cimag(temp2) + bli_cimag(*alpha) * bli_creal(temp2)), q__2 );
|
|
bli_csets( (bli_creal(y[i__3]) + bli_creal(q__2)), (bli_cimag(y[i__3]) + bli_cimag(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), y[i__2] );
|
|
kk += *n - j + 1;
|
|
/* L100: */
|
|
}
|
|
} else {
|
|
jx = kx;
|
|
jy = ky;
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = jx;
|
|
bli_csets( (bli_creal(*alpha) * bli_creal(x[i__2]) - bli_cimag(*alpha) * bli_cimag(x[i__2])), (bli_creal(*alpha) * bli_cimag(x[i__2]) + bli_cimag(*alpha) * bli_creal(x[i__2])), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp1 );
|
|
bli_csets( (0.f), (0.f), temp2 );
|
|
i__2 = jy;
|
|
i__3 = jy;
|
|
i__4 = kk;
|
|
r__1 = bli_creal(ap[i__4]);
|
|
bli_csets( (r__1 * bli_creal(temp1)), (r__1 * bli_cimag(temp1)), q__2 );
|
|
bli_csets( (bli_creal(y[i__3]) + bli_creal(q__2)), (bli_cimag(y[i__3]) + bli_cimag(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), y[i__2] );
|
|
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;
|
|
bli_csets( (bli_creal(temp1) * bli_creal(ap[i__5]) - bli_cimag(temp1) * bli_cimag(ap[i__5])), (bli_creal(temp1) * bli_cimag(ap[i__5]) + bli_cimag(temp1) * bli_creal(ap[i__5])), q__2 );
|
|
bli_csets( (bli_creal(y[i__4]) + bli_creal(q__2)), (bli_cimag(y[i__4]) + bli_cimag(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), y[i__3] );
|
|
bla_r_cnjg(&q__3, &ap[k]);
|
|
i__3 = ix;
|
|
bli_csets( (bli_creal(q__3) * bli_creal(x[i__3]) - bli_cimag(q__3) * bli_cimag(x[i__3])), (bli_creal(q__3) * bli_cimag(x[i__3]) + bli_cimag(q__3) * bli_creal(x[i__3])), q__2 );
|
|
bli_csets( (bli_creal(temp2) + bli_creal(q__2)), (bli_cimag(temp2) + bli_cimag(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp2 );
|
|
/* L110: */
|
|
}
|
|
i__2 = jy;
|
|
i__3 = jy;
|
|
bli_csets( (bli_creal(*alpha) * bli_creal(temp2) - bli_cimag(*alpha) * bli_cimag(temp2)), (bli_creal(*alpha) * bli_cimag(temp2) + bli_cimag(*alpha) * bli_creal(temp2)), q__2 );
|
|
bli_csets( (bli_creal(y[i__3]) + bli_creal(q__2)), (bli_cimag(y[i__3]) + bli_cimag(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), y[i__2] );
|
|
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)(const bla_character *uplo, const bla_integer *n, const bla_dcomplex *alpha, const bla_dcomplex *ap, const bla_dcomplex *x, const bla_integer *incx, const bla_dcomplex *beta, bla_dcomplex *y, const bla_integer *incy)
|
|
{
|
|
/* System generated locals */
|
|
bla_integer i__1, i__2, i__3, i__4, i__5;
|
|
bla_double d__1;
|
|
bla_dcomplex z__1, z__2, z__3, z__4;
|
|
|
|
/* Builtin functions */
|
|
//void bla_d_cnjg(bla_dcomplex *, bla_dcomplex *);
|
|
|
|
/* Local variables */
|
|
bla_integer info;
|
|
bla_dcomplex temp1, temp2;
|
|
bla_integer i__, j, k;
|
|
//extern bla_logical PASTEF770(lsame)(bla_character *, bla_character *, ftnlen, ftnlen);
|
|
bla_integer kk, ix, iy, jx, jy, kx, ky;
|
|
//extern /* Subroutine */ int PASTEF770(xerbla)(bla_character *, bla_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 (! PASTEF770(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1) && ! PASTEF770(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) {
|
|
PASTEF770(xerbla)("ZHPMV ", &info, (ftnlen)6);
|
|
return 0;
|
|
}
|
|
|
|
/* Quick return if possible. */
|
|
|
|
if (*n == 0 || (bli_zreal(*alpha) == 0. && bli_zimag(*alpha) == 0. && (bli_zreal(*beta) == 1. &&
|
|
bli_zimag(*beta) == 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 (bli_zreal(*beta) != 1. || bli_zimag(*beta) != 0.) {
|
|
if (*incy == 1) {
|
|
if (bli_zreal(*beta) == 0. && bli_zimag(*beta) == 0.) {
|
|
i__1 = *n;
|
|
for (i__ = 1; i__ <= i__1; ++i__) {
|
|
i__2 = i__;
|
|
bli_zsets( (0.), (0.), y[i__2] );
|
|
/* L10: */
|
|
}
|
|
} else {
|
|
i__1 = *n;
|
|
for (i__ = 1; i__ <= i__1; ++i__) {
|
|
i__2 = i__;
|
|
i__3 = i__;
|
|
bli_zsets( (bli_zreal(*beta) * bli_zreal(y[i__3]) - bli_zimag(*beta) * bli_zimag(y[i__3])), (bli_zreal(*beta) * bli_zimag(y[i__3]) + bli_zimag(*beta) * bli_zreal(y[i__3])), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), y[i__2] );
|
|
/* L20: */
|
|
}
|
|
}
|
|
} else {
|
|
iy = ky;
|
|
if (bli_zreal(*beta) == 0. && bli_zimag(*beta) == 0.) {
|
|
i__1 = *n;
|
|
for (i__ = 1; i__ <= i__1; ++i__) {
|
|
i__2 = iy;
|
|
bli_zsets( (0.), (0.), y[i__2] );
|
|
iy += *incy;
|
|
/* L30: */
|
|
}
|
|
} else {
|
|
i__1 = *n;
|
|
for (i__ = 1; i__ <= i__1; ++i__) {
|
|
i__2 = iy;
|
|
i__3 = iy;
|
|
bli_zsets( (bli_zreal(*beta) * bli_zreal(y[i__3]) - bli_zimag(*beta) * bli_zimag(y[i__3])), (bli_zreal(*beta) * bli_zimag(y[i__3]) + bli_zimag(*beta) * bli_zreal(y[i__3])), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), y[i__2] );
|
|
iy += *incy;
|
|
/* L40: */
|
|
}
|
|
}
|
|
}
|
|
}
|
|
if (bli_zreal(*alpha) == 0. && bli_zimag(*alpha) == 0.) {
|
|
return 0;
|
|
}
|
|
kk = 1;
|
|
if (PASTEF770(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;
|
|
bli_zsets( (bli_zreal(*alpha) * bli_zreal(x[i__2]) - bli_zimag(*alpha) * bli_zimag(x[i__2])), (bli_zreal(*alpha) * bli_zimag(x[i__2]) + bli_zimag(*alpha) * bli_zreal(x[i__2])), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp1 );
|
|
bli_zsets( (0.), (0.), temp2 );
|
|
k = kk;
|
|
i__2 = j - 1;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__;
|
|
i__4 = i__;
|
|
i__5 = k;
|
|
bli_zsets( (bli_zreal(temp1) * bli_zreal(ap[i__5]) - bli_zimag(temp1) * bli_zimag(ap[i__5])), (bli_zreal(temp1) * bli_zimag(ap[i__5]) + bli_zimag(temp1) * bli_zreal(ap[i__5])), z__2 );
|
|
bli_zsets( (bli_zreal(y[i__4]) + bli_zreal(z__2)), (bli_zimag(y[i__4]) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), y[i__3] );
|
|
bla_d_cnjg(&z__3, &ap[k]);
|
|
i__3 = i__;
|
|
bli_zsets( (bli_zreal(z__3) * bli_zreal(x[i__3]) - bli_zimag(z__3) * bli_zimag(x[i__3])), (bli_zreal(z__3) * bli_zimag(x[i__3]) + bli_zimag(z__3) * bli_zreal(x[i__3])), z__2 );
|
|
bli_zsets( (bli_zreal(temp2) + bli_zreal(z__2)), (bli_zimag(temp2) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp2 );
|
|
++k;
|
|
/* L50: */
|
|
}
|
|
i__2 = j;
|
|
i__3 = j;
|
|
i__4 = kk + j - 1;
|
|
d__1 = bli_zreal(ap[i__4]);
|
|
bli_zsets( (d__1 * bli_zreal(temp1)), (d__1 * bli_zimag(temp1)), z__3 );
|
|
bli_zsets( (bli_zreal(y[i__3]) + bli_zreal(z__3)), (bli_zimag(y[i__3]) + bli_zimag(z__3)), z__2 );
|
|
bli_zsets( (bli_zreal(*alpha) * bli_zreal(temp2) - bli_zimag(*alpha) * bli_zimag(temp2)), (bli_zreal(*alpha) * bli_zimag(temp2) + bli_zimag(*alpha) * bli_zreal(temp2)), z__4 );
|
|
bli_zsets( (bli_zreal(z__2) + bli_zreal(z__4)), (bli_zimag(z__2) + bli_zimag(z__4)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), y[i__2] );
|
|
kk += j;
|
|
/* L60: */
|
|
}
|
|
} else {
|
|
jx = kx;
|
|
jy = ky;
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = jx;
|
|
bli_zsets( (bli_zreal(*alpha) * bli_zreal(x[i__2]) - bli_zimag(*alpha) * bli_zimag(x[i__2])), (bli_zreal(*alpha) * bli_zimag(x[i__2]) + bli_zimag(*alpha) * bli_zreal(x[i__2])), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp1 );
|
|
bli_zsets( (0.), (0.), temp2 );
|
|
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;
|
|
bli_zsets( (bli_zreal(temp1) * bli_zreal(ap[i__5]) - bli_zimag(temp1) * bli_zimag(ap[i__5])), (bli_zreal(temp1) * bli_zimag(ap[i__5]) + bli_zimag(temp1) * bli_zreal(ap[i__5])), z__2 );
|
|
bli_zsets( (bli_zreal(y[i__4]) + bli_zreal(z__2)), (bli_zimag(y[i__4]) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), y[i__3] );
|
|
bla_d_cnjg(&z__3, &ap[k]);
|
|
i__3 = ix;
|
|
bli_zsets( (bli_zreal(z__3) * bli_zreal(x[i__3]) - bli_zimag(z__3) * bli_zimag(x[i__3])), (bli_zreal(z__3) * bli_zimag(x[i__3]) + bli_zimag(z__3) * bli_zreal(x[i__3])), z__2 );
|
|
bli_zsets( (bli_zreal(temp2) + bli_zreal(z__2)), (bli_zimag(temp2) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp2 );
|
|
ix += *incx;
|
|
iy += *incy;
|
|
/* L70: */
|
|
}
|
|
i__2 = jy;
|
|
i__3 = jy;
|
|
i__4 = kk + j - 1;
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|
d__1 = bli_zreal(ap[i__4]);
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bli_zsets( (d__1 * bli_zreal(temp1)), (d__1 * bli_zimag(temp1)), z__3 );
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bli_zsets( (bli_zreal(y[i__3]) + bli_zreal(z__3)), (bli_zimag(y[i__3]) + bli_zimag(z__3)), z__2 );
|
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bli_zsets( (bli_zreal(*alpha) * bli_zreal(temp2) - bli_zimag(*alpha) * bli_zimag(temp2)), (bli_zreal(*alpha) * bli_zimag(temp2) + bli_zimag(*alpha) * bli_zreal(temp2)), z__4 );
|
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bli_zsets( (bli_zreal(z__2) + bli_zreal(z__4)), (bli_zimag(z__2) + bli_zimag(z__4)), z__1 );
|
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bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), y[i__2] );
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jx += *incx;
|
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jy += *incy;
|
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kk += j;
|
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/* L80: */
|
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}
|
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}
|
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} else {
|
|
|
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/* Form y when AP contains the lower triangle. */
|
|
|
|
if (*incx == 1 && *incy == 1) {
|
|
i__1 = *n;
|
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for (j = 1; j <= i__1; ++j) {
|
|
i__2 = j;
|
|
bli_zsets( (bli_zreal(*alpha) * bli_zreal(x[i__2]) - bli_zimag(*alpha) * bli_zimag(x[i__2])), (bli_zreal(*alpha) * bli_zimag(x[i__2]) + bli_zimag(*alpha) * bli_zreal(x[i__2])), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp1 );
|
|
bli_zsets( (0.), (0.), temp2 );
|
|
i__2 = j;
|
|
i__3 = j;
|
|
i__4 = kk;
|
|
d__1 = bli_zreal(ap[i__4]);
|
|
bli_zsets( (d__1 * bli_zreal(temp1)), (d__1 * bli_zimag(temp1)), z__2 );
|
|
bli_zsets( (bli_zreal(y[i__3]) + bli_zreal(z__2)), (bli_zimag(y[i__3]) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), y[i__2] );
|
|
k = kk + 1;
|
|
i__2 = *n;
|
|
for (i__ = j + 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__;
|
|
i__4 = i__;
|
|
i__5 = k;
|
|
bli_zsets( (bli_zreal(temp1) * bli_zreal(ap[i__5]) - bli_zimag(temp1) * bli_zimag(ap[i__5])), (bli_zreal(temp1) * bli_zimag(ap[i__5]) + bli_zimag(temp1) * bli_zreal(ap[i__5])), z__2 );
|
|
bli_zsets( (bli_zreal(y[i__4]) + bli_zreal(z__2)), (bli_zimag(y[i__4]) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), y[i__3] );
|
|
bla_d_cnjg(&z__3, &ap[k]);
|
|
i__3 = i__;
|
|
bli_zsets( (bli_zreal(z__3) * bli_zreal(x[i__3]) - bli_zimag(z__3) * bli_zimag(x[i__3])), (bli_zreal(z__3) * bli_zimag(x[i__3]) + bli_zimag(z__3) * bli_zreal(x[i__3])), z__2 );
|
|
bli_zsets( (bli_zreal(temp2) + bli_zreal(z__2)), (bli_zimag(temp2) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp2 );
|
|
++k;
|
|
/* L90: */
|
|
}
|
|
i__2 = j;
|
|
i__3 = j;
|
|
bli_zsets( (bli_zreal(*alpha) * bli_zreal(temp2) - bli_zimag(*alpha) * bli_zimag(temp2)), (bli_zreal(*alpha) * bli_zimag(temp2) + bli_zimag(*alpha) * bli_zreal(temp2)), z__2 );
|
|
bli_zsets( (bli_zreal(y[i__3]) + bli_zreal(z__2)), (bli_zimag(y[i__3]) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), y[i__2] );
|
|
kk += *n - j + 1;
|
|
/* L100: */
|
|
}
|
|
} else {
|
|
jx = kx;
|
|
jy = ky;
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = jx;
|
|
bli_zsets( (bli_zreal(*alpha) * bli_zreal(x[i__2]) - bli_zimag(*alpha) * bli_zimag(x[i__2])), (bli_zreal(*alpha) * bli_zimag(x[i__2]) + bli_zimag(*alpha) * bli_zreal(x[i__2])), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp1 );
|
|
bli_zsets( (0.), (0.), temp2 );
|
|
i__2 = jy;
|
|
i__3 = jy;
|
|
i__4 = kk;
|
|
d__1 = bli_zreal(ap[i__4]);
|
|
bli_zsets( (d__1 * bli_zreal(temp1)), (d__1 * bli_zimag(temp1)), z__2 );
|
|
bli_zsets( (bli_zreal(y[i__3]) + bli_zreal(z__2)), (bli_zimag(y[i__3]) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), y[i__2] );
|
|
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;
|
|
bli_zsets( (bli_zreal(temp1) * bli_zreal(ap[i__5]) - bli_zimag(temp1) * bli_zimag(ap[i__5])), (bli_zreal(temp1) * bli_zimag(ap[i__5]) + bli_zimag(temp1) * bli_zreal(ap[i__5])), z__2 );
|
|
bli_zsets( (bli_zreal(y[i__4]) + bli_zreal(z__2)), (bli_zimag(y[i__4]) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), y[i__3] );
|
|
bla_d_cnjg(&z__3, &ap[k]);
|
|
i__3 = ix;
|
|
bli_zsets( (bli_zreal(z__3) * bli_zreal(x[i__3]) - bli_zimag(z__3) * bli_zimag(x[i__3])), (bli_zreal(z__3) * bli_zimag(x[i__3]) + bli_zimag(z__3) * bli_zreal(x[i__3])), z__2 );
|
|
bli_zsets( (bli_zreal(temp2) + bli_zreal(z__2)), (bli_zimag(temp2) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp2 );
|
|
/* L110: */
|
|
}
|
|
i__2 = jy;
|
|
i__3 = jy;
|
|
bli_zsets( (bli_zreal(*alpha) * bli_zreal(temp2) - bli_zimag(*alpha) * bli_zimag(temp2)), (bli_zreal(*alpha) * bli_zimag(temp2) + bli_zimag(*alpha) * bli_zreal(temp2)), z__2 );
|
|
bli_zsets( (bli_zreal(y[i__3]) + bli_zreal(z__2)), (bli_zimag(y[i__3]) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), y[i__2] );
|
|
jx += *incx;
|
|
jy += *incy;
|
|
kk += *n - j + 1;
|
|
/* L120: */
|
|
}
|
|
}
|
|
}
|
|
|
|
return 0;
|
|
|
|
/* End of ZHPMV . */
|
|
|
|
} /* zhpmv_ */
|
|
|
|
#endif
|
|
|