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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
2003 lines
66 KiB
C
2003 lines
66 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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/* ctbmv.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,tbmv)(const bla_character *uplo, const bla_character *trans, const bla_character *diag, const bla_integer *n, const bla_integer *k, const bla_scomplex *a, const bla_integer *lda, bla_scomplex *x, const bla_integer *incx)
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{
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/* System generated locals */
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bla_integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5;
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bla_scomplex q__1, q__2, q__3;
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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 temp;
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bla_integer i__, j, l;
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//extern bla_logical PASTEF770(lsame)(bla_character *, bla_character *, ftnlen, ftnlen);
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bla_integer kplus1, ix, jx, kx = 0;
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//extern /* Subroutine */ int PASTEF770(xerbla)(bla_character *, bla_integer *, ftnlen);
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bla_logical noconj, nounit;
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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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/* CTBMV performs one of the matrix-vector operations */
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/* x := A*x, or x := A'*x, or x := conjg( A' )*x, */
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/* where x is an n element vector and A is an n by n unit, or non-unit, */
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/* upper or lower triangular band matrix, with ( k + 1 ) diagonals. */
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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 matrix is an upper or */
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/* lower triangular matrix as follows: */
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/* UPLO = 'U' or 'u' A is an upper triangular matrix. */
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/* UPLO = 'L' or 'l' A is a lower triangular matrix. */
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/* Unchanged on exit. */
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/* TRANS - CHARACTER*1. */
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/* On entry, TRANS specifies the operation to be performed as */
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/* follows: */
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/* TRANS = 'N' or 'n' x := A*x. */
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/* TRANS = 'T' or 't' x := A'*x. */
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/* TRANS = 'C' or 'c' x := conjg( A' )*x. */
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/* Unchanged on exit. */
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/* DIAG - CHARACTER*1. */
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/* On entry, DIAG specifies whether or not A is unit */
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/* triangular as follows: */
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/* DIAG = 'U' or 'u' A is assumed to be unit triangular. */
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/* DIAG = 'N' or 'n' A is not assumed to be unit */
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/* triangular. */
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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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/* K - INTEGER. */
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/* On entry with UPLO = 'U' or 'u', K specifies the number of */
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/* super-diagonals of the matrix A. */
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/* On entry with UPLO = 'L' or 'l', K specifies the number of */
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/* sub-diagonals of the matrix A. */
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/* K must satisfy 0 .le. K. */
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/* Unchanged on exit. */
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/* A - COMPLEX array of DIMENSION ( LDA, n ). */
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/* Before entry with UPLO = 'U' or 'u', the leading ( k + 1 ) */
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/* by n part of the array A must contain the upper triangular */
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/* band part of the matrix of coefficients, supplied column by */
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/* column, with the leading diagonal of the matrix in row */
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/* ( k + 1 ) of the array, the first super-diagonal starting at */
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/* position 2 in row k, and so on. The top left k by k triangle */
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/* of the array A is not referenced. */
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/* The following program segment will transfer an upper */
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/* triangular band matrix from conventional full matrix storage */
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/* to band storage: */
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/* DO 20, J = 1, N */
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/* M = K + 1 - J */
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/* DO 10, I = MAX( 1, J - K ), J */
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/* A( M + I, J ) = matrix( I, J ) */
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/* 10 CONTINUE */
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/* 20 CONTINUE */
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/* Before entry with UPLO = 'L' or 'l', the leading ( k + 1 ) */
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/* by n part of the array A must contain the lower triangular */
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/* band part of the matrix of coefficients, supplied column by */
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/* column, with the leading diagonal of the matrix in row 1 of */
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/* the array, the first sub-diagonal starting at position 1 in */
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/* row 2, and so on. The bottom right k by k triangle of the */
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/* array A is not referenced. */
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/* The following program segment will transfer a lower */
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/* triangular band matrix from conventional full matrix storage */
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/* to band storage: */
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/* DO 20, J = 1, N */
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/* M = 1 - J */
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/* DO 10, I = J, MIN( N, J + K ) */
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/* A( M + I, J ) = matrix( I, J ) */
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/* 10 CONTINUE */
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/* 20 CONTINUE */
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/* Note that when DIAG = 'U' or 'u' the elements of the array A */
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/* corresponding to the diagonal elements of the matrix are not */
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/* referenced, but are assumed to be unity. */
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/* Unchanged on exit. */
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/* LDA - INTEGER. */
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/* On entry, LDA specifies the first dimension of A as declared */
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/* in the calling (sub) program. LDA must be at least */
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/* ( k + 1 ). */
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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. On exit, X is overwritten with the */
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/* tranformed vector x. */
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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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/* 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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a_dim1 = *lda;
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a_offset = 1 + a_dim1 * 1;
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a -= a_offset;
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--x;
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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 (! PASTEF770(lsame)(trans, "N", (ftnlen)1, (ftnlen)1) && ! PASTEF770(lsame)(trans,
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"T", (ftnlen)1, (ftnlen)1) && ! PASTEF770(lsame)(trans, "C", (ftnlen)1, (
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ftnlen)1)) {
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info = 2;
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} else if (! PASTEF770(lsame)(diag, "U", (ftnlen)1, (ftnlen)1) && ! PASTEF770(lsame)(diag,
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"N", (ftnlen)1, (ftnlen)1)) {
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info = 3;
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} else if (*n < 0) {
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info = 4;
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} else if (*k < 0) {
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info = 5;
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} else if (*lda < *k + 1) {
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info = 7;
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} else if (*incx == 0) {
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info = 9;
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}
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if (info != 0) {
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PASTEF770(xerbla)("CTBMV ", &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) {
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return 0;
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}
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noconj = PASTEF770(lsame)(trans, "T", (ftnlen)1, (ftnlen)1);
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nounit = PASTEF770(lsame)(diag, "N", (ftnlen)1, (ftnlen)1);
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/* Set up the start point in X if the increment is not unity. This */
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/* will be ( N - 1 )*INCX too small for descending loops. */
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if (*incx <= 0) {
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kx = 1 - (*n - 1) * *incx;
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} else if (*incx != 1) {
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kx = 1;
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}
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/* Start the operations. In this version the elements of A are */
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/* accessed sequentially with one pass through A. */
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if (PASTEF770(lsame)(trans, "N", (ftnlen)1, (ftnlen)1)) {
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/* Form x := A*x. */
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if (PASTEF770(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1)) {
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kplus1 = *k + 1;
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if (*incx == 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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if (bli_creal(x[i__2]) != 0.f || bli_cimag(x[i__2]) != 0.f) {
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i__2 = j;
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bli_csets( (bli_creal(x[i__2])), (bli_cimag(x[i__2])), temp );
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l = kplus1 - j;
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/* Computing MAX */
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i__2 = 1, i__3 = j - *k;
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i__4 = j - 1;
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for (i__ = f2c_max(i__2,i__3); i__ <= i__4; ++i__) {
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i__2 = i__;
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i__3 = i__;
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i__5 = l + i__ + j * a_dim1;
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bli_csets( (bli_creal(temp) * bli_creal(a[i__5]) - bli_cimag(temp) * bli_cimag(a[i__5])), (bli_creal(temp) * bli_cimag(a[i__5]) + bli_cimag(temp) * bli_creal(a[i__5])), q__2 );
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bli_csets( (bli_creal(x[i__3]) + bli_creal(q__2)), (bli_cimag(x[i__3]) + bli_cimag(q__2)), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), x[i__2] );
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/* L10: */
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}
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if (nounit) {
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i__4 = j;
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i__2 = j;
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i__3 = kplus1 + j * a_dim1;
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bli_csets( (bli_creal(x[i__2]) * bli_creal(a[i__3]) - bli_cimag(x[i__2]) * bli_cimag(a[i__3])), (bli_creal(x[i__2]) * bli_cimag(a[i__3]) + bli_cimag(x[i__2]) * bli_creal(a[i__3])), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), x[i__4] );
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}
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}
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/* L20: */
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}
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} else {
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jx = kx;
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__4 = jx;
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if (bli_creal(x[i__4]) != 0.f || bli_cimag(x[i__4]) != 0.f) {
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i__4 = jx;
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bli_csets( (bli_creal(x[i__4])), (bli_cimag(x[i__4])), temp );
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ix = kx;
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l = kplus1 - j;
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/* Computing MAX */
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i__4 = 1, i__2 = j - *k;
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i__3 = j - 1;
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for (i__ = f2c_max(i__4,i__2); i__ <= i__3; ++i__) {
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i__4 = ix;
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i__2 = ix;
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i__5 = l + i__ + j * a_dim1;
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bli_csets( (bli_creal(temp) * bli_creal(a[i__5]) - bli_cimag(temp) * bli_cimag(a[i__5])), (bli_creal(temp) * bli_cimag(a[i__5]) + bli_cimag(temp) * bli_creal(a[i__5])), q__2 );
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bli_csets( (bli_creal(x[i__2]) + bli_creal(q__2)), (bli_cimag(x[i__2]) + bli_cimag(q__2)), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), x[i__4] );
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ix += *incx;
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/* L30: */
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}
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if (nounit) {
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i__3 = jx;
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i__4 = jx;
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i__2 = kplus1 + j * a_dim1;
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bli_csets( (bli_creal(x[i__4]) * bli_creal(a[i__2]) - bli_cimag(x[i__4]) * bli_cimag(a[i__2])), (bli_creal(x[i__4]) * bli_cimag(a[i__2]) + bli_cimag(x[i__4]) * bli_creal(a[i__2])), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), x[i__3] );
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}
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}
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jx += *incx;
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if (j > *k) {
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kx += *incx;
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}
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/* L40: */
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}
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}
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} else {
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if (*incx == 1) {
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for (j = *n; j >= 1; --j) {
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i__1 = j;
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if (bli_creal(x[i__1]) != 0.f || bli_cimag(x[i__1]) != 0.f) {
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i__1 = j;
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bli_csets( (bli_creal(x[i__1])), (bli_cimag(x[i__1])), temp );
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l = 1 - j;
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/* Computing MIN */
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i__1 = *n, i__3 = j + *k;
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i__4 = j + 1;
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for (i__ = f2c_min(i__1,i__3); i__ >= i__4; --i__) {
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i__1 = i__;
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i__3 = i__;
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i__2 = l + i__ + j * a_dim1;
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bli_csets( (bli_creal(temp) * bli_creal(a[i__2]) - bli_cimag(temp) * bli_cimag(a[i__2])), (bli_creal(temp) * bli_cimag(a[i__2]) + bli_cimag(temp) * bli_creal(a[i__2])), q__2 );
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bli_csets( (bli_creal(x[i__3]) + bli_creal(q__2)), (bli_cimag(x[i__3]) + bli_cimag(q__2)), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), x[i__1] );
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/* L50: */
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}
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if (nounit) {
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i__4 = j;
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i__1 = j;
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i__3 = j * a_dim1 + 1;
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bli_csets( (bli_creal(x[i__1]) * bli_creal(a[i__3]) - bli_cimag(x[i__1]) * bli_cimag(a[i__3])), (bli_creal(x[i__1]) * bli_cimag(a[i__3]) + bli_cimag(x[i__1]) * bli_creal(a[i__3])), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), x[i__4] );
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}
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}
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/* L60: */
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}
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} else {
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kx += (*n - 1) * *incx;
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jx = kx;
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for (j = *n; j >= 1; --j) {
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i__4 = jx;
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if (bli_creal(x[i__4]) != 0.f || bli_cimag(x[i__4]) != 0.f) {
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i__4 = jx;
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bli_csets( (bli_creal(x[i__4])), (bli_cimag(x[i__4])), temp );
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ix = kx;
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l = 1 - j;
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/* Computing MIN */
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i__4 = *n, i__1 = j + *k;
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i__3 = j + 1;
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for (i__ = f2c_min(i__4,i__1); i__ >= i__3; --i__) {
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i__4 = ix;
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i__1 = ix;
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i__2 = l + i__ + j * a_dim1;
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bli_csets( (bli_creal(temp) * bli_creal(a[i__2]) - bli_cimag(temp) * bli_cimag(a[i__2])), (bli_creal(temp) * bli_cimag(a[i__2]) + bli_cimag(temp) * bli_creal(a[i__2])), q__2 );
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bli_csets( (bli_creal(x[i__1]) + bli_creal(q__2)), (bli_cimag(x[i__1]) + bli_cimag(q__2)), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), x[i__4] );
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ix -= *incx;
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/* L70: */
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}
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if (nounit) {
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i__3 = jx;
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i__4 = jx;
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i__1 = j * a_dim1 + 1;
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bli_csets( (bli_creal(x[i__4]) * bli_creal(a[i__1]) - bli_cimag(x[i__4]) * bli_cimag(a[i__1])), (bli_creal(x[i__4]) * bli_cimag(a[i__1]) + bli_cimag(x[i__4]) * bli_creal(a[i__1])), q__1 );
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bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), x[i__3] );
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}
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}
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jx -= *incx;
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if (*n - j >= *k) {
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kx -= *incx;
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}
|
|
/* L80: */
|
|
}
|
|
}
|
|
}
|
|
} else {
|
|
|
|
/* Form x := A'*x or x := conjg( A' )*x. */
|
|
|
|
if (PASTEF770(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1)) {
|
|
kplus1 = *k + 1;
|
|
if (*incx == 1) {
|
|
for (j = *n; j >= 1; --j) {
|
|
i__3 = j;
|
|
bli_csets( (bli_creal(x[i__3])), (bli_cimag(x[i__3])), temp );
|
|
l = kplus1 - j;
|
|
if (noconj) {
|
|
if (nounit) {
|
|
i__3 = kplus1 + j * a_dim1;
|
|
bli_csets( (bli_creal(temp) * bli_creal(a[i__3]) - bli_cimag(temp) * bli_cimag(a[i__3])), (bli_creal(temp) * bli_cimag(a[i__3]) + bli_cimag(temp) * bli_creal(a[i__3])), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp );
|
|
}
|
|
/* Computing MAX */
|
|
i__4 = 1, i__1 = j - *k;
|
|
i__3 = f2c_max(i__4,i__1);
|
|
for (i__ = j - 1; i__ >= i__3; --i__) {
|
|
i__4 = l + i__ + j * a_dim1;
|
|
i__1 = i__;
|
|
bli_csets( (bli_creal(a[i__4]) * bli_creal(x[i__1]) - bli_cimag(a[i__4]) * bli_cimag(x[i__1])), (bli_creal(a[i__4]) * bli_cimag(x[i__1]) + bli_cimag(a[i__4]) * bli_creal(x[i__1])), q__2 );
|
|
bli_csets( (bli_creal(temp) + bli_creal(q__2)), (bli_cimag(temp) + bli_cimag(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp );
|
|
/* L90: */
|
|
}
|
|
} else {
|
|
if (nounit) {
|
|
bla_r_cnjg(&q__2, &a[kplus1 + j * a_dim1]);
|
|
bli_csets( (bli_creal(temp) * bli_creal(q__2) - bli_cimag(temp) * bli_cimag(q__2)), (bli_creal(temp) * bli_cimag(q__2) + bli_cimag(temp) * bli_creal(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp );
|
|
}
|
|
/* Computing MAX */
|
|
i__4 = 1, i__1 = j - *k;
|
|
i__3 = f2c_max(i__4,i__1);
|
|
for (i__ = j - 1; i__ >= i__3; --i__) {
|
|
bla_r_cnjg(&q__3, &a[l + i__ + j * a_dim1]);
|
|
i__4 = i__;
|
|
bli_csets( (bli_creal(q__3) * bli_creal(x[i__4]) - bli_cimag(q__3) * bli_cimag(x[i__4])), (bli_creal(q__3) * bli_cimag(x[i__4]) + bli_cimag(q__3) * bli_creal(x[i__4])), q__2 );
|
|
bli_csets( (bli_creal(temp) + bli_creal(q__2)), (bli_cimag(temp) + bli_cimag(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp );
|
|
/* L100: */
|
|
}
|
|
}
|
|
i__3 = j;
|
|
bli_csets( (bli_creal(temp)), (bli_cimag(temp)), x[i__3] );
|
|
/* L110: */
|
|
}
|
|
} else {
|
|
kx += (*n - 1) * *incx;
|
|
jx = kx;
|
|
for (j = *n; j >= 1; --j) {
|
|
i__3 = jx;
|
|
bli_csets( (bli_creal(x[i__3])), (bli_cimag(x[i__3])), temp );
|
|
kx -= *incx;
|
|
ix = kx;
|
|
l = kplus1 - j;
|
|
if (noconj) {
|
|
if (nounit) {
|
|
i__3 = kplus1 + j * a_dim1;
|
|
bli_csets( (bli_creal(temp) * bli_creal(a[i__3]) - bli_cimag(temp) * bli_cimag(a[i__3])), (bli_creal(temp) * bli_cimag(a[i__3]) + bli_cimag(temp) * bli_creal(a[i__3])), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp );
|
|
}
|
|
/* Computing MAX */
|
|
i__4 = 1, i__1 = j - *k;
|
|
i__3 = f2c_max(i__4,i__1);
|
|
for (i__ = j - 1; i__ >= i__3; --i__) {
|
|
i__4 = l + i__ + j * a_dim1;
|
|
i__1 = ix;
|
|
bli_csets( (bli_creal(a[i__4]) * bli_creal(x[i__1]) - bli_cimag(a[i__4]) * bli_cimag(x[i__1])), (bli_creal(a[i__4]) * bli_cimag(x[i__1]) + bli_cimag(a[i__4]) * bli_creal(x[i__1])), q__2 );
|
|
bli_csets( (bli_creal(temp) + bli_creal(q__2)), (bli_cimag(temp) + bli_cimag(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp );
|
|
ix -= *incx;
|
|
/* L120: */
|
|
}
|
|
} else {
|
|
if (nounit) {
|
|
bla_r_cnjg(&q__2, &a[kplus1 + j * a_dim1]);
|
|
bli_csets( (bli_creal(temp) * bli_creal(q__2) - bli_cimag(temp) * bli_cimag(q__2)), (bli_creal(temp) * bli_cimag(q__2) + bli_cimag(temp) * bli_creal(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp );
|
|
}
|
|
/* Computing MAX */
|
|
i__4 = 1, i__1 = j - *k;
|
|
i__3 = f2c_max(i__4,i__1);
|
|
for (i__ = j - 1; i__ >= i__3; --i__) {
|
|
bla_r_cnjg(&q__3, &a[l + i__ + j * a_dim1]);
|
|
i__4 = ix;
|
|
bli_csets( (bli_creal(q__3) * bli_creal(x[i__4]) - bli_cimag(q__3) * bli_cimag(x[i__4])), (bli_creal(q__3) * bli_cimag(x[i__4]) + bli_cimag(q__3) * bli_creal(x[i__4])), q__2 );
|
|
bli_csets( (bli_creal(temp) + bli_creal(q__2)), (bli_cimag(temp) + bli_cimag(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp );
|
|
ix -= *incx;
|
|
/* L130: */
|
|
}
|
|
}
|
|
i__3 = jx;
|
|
bli_csets( (bli_creal(temp)), (bli_cimag(temp)), x[i__3] );
|
|
jx -= *incx;
|
|
/* L140: */
|
|
}
|
|
}
|
|
} else {
|
|
if (*incx == 1) {
|
|
i__3 = *n;
|
|
for (j = 1; j <= i__3; ++j) {
|
|
i__4 = j;
|
|
bli_csets( (bli_creal(x[i__4])), (bli_cimag(x[i__4])), temp );
|
|
l = 1 - j;
|
|
if (noconj) {
|
|
if (nounit) {
|
|
i__4 = j * a_dim1 + 1;
|
|
bli_csets( (bli_creal(temp) * bli_creal(a[i__4]) - bli_cimag(temp) * bli_cimag(a[i__4])), (bli_creal(temp) * bli_cimag(a[i__4]) + bli_cimag(temp) * bli_creal(a[i__4])), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp );
|
|
}
|
|
/* Computing MIN */
|
|
i__1 = *n, i__2 = j + *k;
|
|
i__4 = f2c_min(i__1,i__2);
|
|
for (i__ = j + 1; i__ <= i__4; ++i__) {
|
|
i__1 = l + i__ + j * a_dim1;
|
|
i__2 = i__;
|
|
bli_csets( (bli_creal(a[i__1]) * bli_creal(x[i__2]) - bli_cimag(a[i__1]) * bli_cimag(x[i__2])), (bli_creal(a[i__1]) * bli_cimag(x[i__2]) + bli_cimag(a[i__1]) * bli_creal(x[i__2])), q__2 );
|
|
bli_csets( (bli_creal(temp) + bli_creal(q__2)), (bli_cimag(temp) + bli_cimag(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp );
|
|
/* L150: */
|
|
}
|
|
} else {
|
|
if (nounit) {
|
|
bla_r_cnjg(&q__2, &a[j * a_dim1 + 1]);
|
|
bli_csets( (bli_creal(temp) * bli_creal(q__2) - bli_cimag(temp) * bli_cimag(q__2)), (bli_creal(temp) * bli_cimag(q__2) + bli_cimag(temp) * bli_creal(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp );
|
|
}
|
|
/* Computing MIN */
|
|
i__1 = *n, i__2 = j + *k;
|
|
i__4 = f2c_min(i__1,i__2);
|
|
for (i__ = j + 1; i__ <= i__4; ++i__) {
|
|
bla_r_cnjg(&q__3, &a[l + i__ + j * a_dim1]);
|
|
i__1 = i__;
|
|
bli_csets( (bli_creal(q__3) * bli_creal(x[i__1]) - bli_cimag(q__3) * bli_cimag(x[i__1])), (bli_creal(q__3) * bli_cimag(x[i__1]) + bli_cimag(q__3) * bli_creal(x[i__1])), q__2 );
|
|
bli_csets( (bli_creal(temp) + bli_creal(q__2)), (bli_cimag(temp) + bli_cimag(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp );
|
|
/* L160: */
|
|
}
|
|
}
|
|
i__4 = j;
|
|
bli_csets( (bli_creal(temp)), (bli_cimag(temp)), x[i__4] );
|
|
/* L170: */
|
|
}
|
|
} else {
|
|
jx = kx;
|
|
i__3 = *n;
|
|
for (j = 1; j <= i__3; ++j) {
|
|
i__4 = jx;
|
|
bli_csets( (bli_creal(x[i__4])), (bli_cimag(x[i__4])), temp );
|
|
kx += *incx;
|
|
ix = kx;
|
|
l = 1 - j;
|
|
if (noconj) {
|
|
if (nounit) {
|
|
i__4 = j * a_dim1 + 1;
|
|
bli_csets( (bli_creal(temp) * bli_creal(a[i__4]) - bli_cimag(temp) * bli_cimag(a[i__4])), (bli_creal(temp) * bli_cimag(a[i__4]) + bli_cimag(temp) * bli_creal(a[i__4])), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp );
|
|
}
|
|
/* Computing MIN */
|
|
i__1 = *n, i__2 = j + *k;
|
|
i__4 = f2c_min(i__1,i__2);
|
|
for (i__ = j + 1; i__ <= i__4; ++i__) {
|
|
i__1 = l + i__ + j * a_dim1;
|
|
i__2 = ix;
|
|
bli_csets( (bli_creal(a[i__1]) * bli_creal(x[i__2]) - bli_cimag(a[i__1]) * bli_cimag(x[i__2])), (bli_creal(a[i__1]) * bli_cimag(x[i__2]) + bli_cimag(a[i__1]) * bli_creal(x[i__2])), q__2 );
|
|
bli_csets( (bli_creal(temp) + bli_creal(q__2)), (bli_cimag(temp) + bli_cimag(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp );
|
|
ix += *incx;
|
|
/* L180: */
|
|
}
|
|
} else {
|
|
if (nounit) {
|
|
bla_r_cnjg(&q__2, &a[j * a_dim1 + 1]);
|
|
bli_csets( (bli_creal(temp) * bli_creal(q__2) - bli_cimag(temp) * bli_cimag(q__2)), (bli_creal(temp) * bli_cimag(q__2) + bli_cimag(temp) * bli_creal(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp );
|
|
}
|
|
/* Computing MIN */
|
|
i__1 = *n, i__2 = j + *k;
|
|
i__4 = f2c_min(i__1,i__2);
|
|
for (i__ = j + 1; i__ <= i__4; ++i__) {
|
|
bla_r_cnjg(&q__3, &a[l + i__ + j * a_dim1]);
|
|
i__1 = ix;
|
|
bli_csets( (bli_creal(q__3) * bli_creal(x[i__1]) - bli_cimag(q__3) * bli_cimag(x[i__1])), (bli_creal(q__3) * bli_cimag(x[i__1]) + bli_cimag(q__3) * bli_creal(x[i__1])), q__2 );
|
|
bli_csets( (bli_creal(temp) + bli_creal(q__2)), (bli_cimag(temp) + bli_cimag(q__2)), q__1 );
|
|
bli_csets( (bli_creal(q__1)), (bli_cimag(q__1)), temp );
|
|
ix += *incx;
|
|
/* L190: */
|
|
}
|
|
}
|
|
i__4 = jx;
|
|
bli_csets( (bli_creal(temp)), (bli_cimag(temp)), x[i__4] );
|
|
jx += *incx;
|
|
/* L200: */
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
return 0;
|
|
|
|
/* End of CTBMV . */
|
|
|
|
} /* ctbmv_ */
|
|
|
|
/* dtbmv.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,tbmv)(const bla_character *uplo, const bla_character *trans, const bla_character *diag, const bla_integer *n, const bla_integer *k, const bla_double *a, const bla_integer *lda, bla_double *x, const bla_integer *incx)
|
|
{
|
|
/* System generated locals */
|
|
bla_integer a_dim1, a_offset, i__1, i__2, i__3, i__4;
|
|
|
|
/* Local variables */
|
|
bla_integer info;
|
|
bla_double temp;
|
|
bla_integer i__, j, l;
|
|
//extern bla_logical PASTEF770(lsame)(bla_character *, bla_character *, ftnlen, ftnlen);
|
|
bla_integer kplus1, ix, jx, kx = 0;
|
|
//extern /* Subroutine */ int PASTEF770(xerbla)(bla_character *, bla_integer *, ftnlen);
|
|
bla_logical nounit;
|
|
|
|
/* .. Scalar Arguments .. */
|
|
/* .. Array Arguments .. */
|
|
/* .. */
|
|
|
|
/* Purpose */
|
|
/* ======= */
|
|
|
|
/* DTBMV performs one of the matrix-vector operations */
|
|
|
|
/* x := A*x, or x := A'*x, */
|
|
|
|
/* where x is an n element vector and A is an n by n unit, or non-unit, */
|
|
/* upper or lower triangular band matrix, with ( k + 1 ) diagonals. */
|
|
|
|
/* Parameters */
|
|
/* ========== */
|
|
|
|
/* UPLO - CHARACTER*1. */
|
|
/* On entry, UPLO specifies whether the matrix is an upper or */
|
|
/* lower triangular matrix as follows: */
|
|
|
|
/* UPLO = 'U' or 'u' A is an upper triangular matrix. */
|
|
|
|
/* UPLO = 'L' or 'l' A is a lower triangular matrix. */
|
|
|
|
/* Unchanged on exit. */
|
|
|
|
/* TRANS - CHARACTER*1. */
|
|
/* On entry, TRANS specifies the operation to be performed as */
|
|
/* follows: */
|
|
|
|
/* TRANS = 'N' or 'n' x := A*x. */
|
|
|
|
/* TRANS = 'T' or 't' x := A'*x. */
|
|
|
|
/* TRANS = 'C' or 'c' x := A'*x. */
|
|
|
|
/* Unchanged on exit. */
|
|
|
|
/* DIAG - CHARACTER*1. */
|
|
/* On entry, DIAG specifies whether or not A is unit */
|
|
/* triangular as follows: */
|
|
|
|
/* DIAG = 'U' or 'u' A is assumed to be unit triangular. */
|
|
|
|
/* DIAG = 'N' or 'n' A is not assumed to be unit */
|
|
/* triangular. */
|
|
|
|
/* 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 with UPLO = 'U' or 'u', K specifies the number of */
|
|
/* super-diagonals of the matrix A. */
|
|
/* On entry with UPLO = 'L' or 'l', K specifies the number of */
|
|
/* sub-diagonals of the matrix A. */
|
|
/* K must satisfy 0 .le. K. */
|
|
/* 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 matrix of coefficients, 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 an upper */
|
|
/* triangular 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 matrix of coefficients, 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 a lower */
|
|
/* triangular 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 when DIAG = 'U' or 'u' the elements of the array A */
|
|
/* corresponding to the diagonal elements of the matrix are not */
|
|
/* referenced, but are assumed to be unity. */
|
|
/* 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 n */
|
|
/* element vector x. On exit, X is overwritten with the */
|
|
/* tranformed vector x. */
|
|
|
|
/* INCX - INTEGER. */
|
|
/* On entry, INCX specifies the increment for the elements of */
|
|
/* X. INCX 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;
|
|
|
|
/* 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 (! PASTEF770(lsame)(trans, "N", (ftnlen)1, (ftnlen)1) && ! PASTEF770(lsame)(trans,
|
|
"T", (ftnlen)1, (ftnlen)1) && ! PASTEF770(lsame)(trans, "C", (ftnlen)1, (
|
|
ftnlen)1)) {
|
|
info = 2;
|
|
} else if (! PASTEF770(lsame)(diag, "U", (ftnlen)1, (ftnlen)1) && ! PASTEF770(lsame)(diag,
|
|
"N", (ftnlen)1, (ftnlen)1)) {
|
|
info = 3;
|
|
} else if (*n < 0) {
|
|
info = 4;
|
|
} else if (*k < 0) {
|
|
info = 5;
|
|
} else if (*lda < *k + 1) {
|
|
info = 7;
|
|
} else if (*incx == 0) {
|
|
info = 9;
|
|
}
|
|
if (info != 0) {
|
|
PASTEF770(xerbla)("DTBMV ", &info, (ftnlen)6);
|
|
return 0;
|
|
}
|
|
|
|
/* Quick return if possible. */
|
|
|
|
if (*n == 0) {
|
|
return 0;
|
|
}
|
|
|
|
nounit = PASTEF770(lsame)(diag, "N", (ftnlen)1, (ftnlen)1);
|
|
|
|
/* Set up the start point in X if the increment is not unity. This */
|
|
/* will be ( N - 1 )*INCX too small for descending loops. */
|
|
|
|
if (*incx <= 0) {
|
|
kx = 1 - (*n - 1) * *incx;
|
|
} else if (*incx != 1) {
|
|
kx = 1;
|
|
}
|
|
|
|
/* Start the operations. In this version the elements of A are */
|
|
/* accessed sequentially with one pass through A. */
|
|
|
|
if (PASTEF770(lsame)(trans, "N", (ftnlen)1, (ftnlen)1)) {
|
|
|
|
/* Form x := A*x. */
|
|
|
|
if (PASTEF770(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1)) {
|
|
kplus1 = *k + 1;
|
|
if (*incx == 1) {
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
if (x[j] != 0.) {
|
|
temp = x[j];
|
|
l = kplus1 - j;
|
|
/* Computing MAX */
|
|
i__2 = 1, i__3 = j - *k;
|
|
i__4 = j - 1;
|
|
for (i__ = f2c_max(i__2,i__3); i__ <= i__4; ++i__) {
|
|
x[i__] += temp * a[l + i__ + j * a_dim1];
|
|
/* L10: */
|
|
}
|
|
if (nounit) {
|
|
x[j] *= a[kplus1 + j * a_dim1];
|
|
}
|
|
}
|
|
/* L20: */
|
|
}
|
|
} else {
|
|
jx = kx;
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
if (x[jx] != 0.) {
|
|
temp = x[jx];
|
|
ix = kx;
|
|
l = kplus1 - j;
|
|
/* Computing MAX */
|
|
i__4 = 1, i__2 = j - *k;
|
|
i__3 = j - 1;
|
|
for (i__ = f2c_max(i__4,i__2); i__ <= i__3; ++i__) {
|
|
x[ix] += temp * a[l + i__ + j * a_dim1];
|
|
ix += *incx;
|
|
/* L30: */
|
|
}
|
|
if (nounit) {
|
|
x[jx] *= a[kplus1 + j * a_dim1];
|
|
}
|
|
}
|
|
jx += *incx;
|
|
if (j > *k) {
|
|
kx += *incx;
|
|
}
|
|
/* L40: */
|
|
}
|
|
}
|
|
} else {
|
|
if (*incx == 1) {
|
|
for (j = *n; j >= 1; --j) {
|
|
if (x[j] != 0.) {
|
|
temp = x[j];
|
|
l = 1 - j;
|
|
/* Computing MIN */
|
|
i__1 = *n, i__3 = j + *k;
|
|
i__4 = j + 1;
|
|
for (i__ = f2c_min(i__1,i__3); i__ >= i__4; --i__) {
|
|
x[i__] += temp * a[l + i__ + j * a_dim1];
|
|
/* L50: */
|
|
}
|
|
if (nounit) {
|
|
x[j] *= a[j * a_dim1 + 1];
|
|
}
|
|
}
|
|
/* L60: */
|
|
}
|
|
} else {
|
|
kx += (*n - 1) * *incx;
|
|
jx = kx;
|
|
for (j = *n; j >= 1; --j) {
|
|
if (x[jx] != 0.) {
|
|
temp = x[jx];
|
|
ix = kx;
|
|
l = 1 - j;
|
|
/* Computing MIN */
|
|
i__4 = *n, i__1 = j + *k;
|
|
i__3 = j + 1;
|
|
for (i__ = f2c_min(i__4,i__1); i__ >= i__3; --i__) {
|
|
x[ix] += temp * a[l + i__ + j * a_dim1];
|
|
ix -= *incx;
|
|
/* L70: */
|
|
}
|
|
if (nounit) {
|
|
x[jx] *= a[j * a_dim1 + 1];
|
|
}
|
|
}
|
|
jx -= *incx;
|
|
if (*n - j >= *k) {
|
|
kx -= *incx;
|
|
}
|
|
/* L80: */
|
|
}
|
|
}
|
|
}
|
|
} else {
|
|
|
|
/* Form x := A'*x. */
|
|
|
|
if (PASTEF770(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1)) {
|
|
kplus1 = *k + 1;
|
|
if (*incx == 1) {
|
|
for (j = *n; j >= 1; --j) {
|
|
temp = x[j];
|
|
l = kplus1 - j;
|
|
if (nounit) {
|
|
temp *= a[kplus1 + j * a_dim1];
|
|
}
|
|
/* Computing MAX */
|
|
i__4 = 1, i__1 = j - *k;
|
|
i__3 = f2c_max(i__4,i__1);
|
|
for (i__ = j - 1; i__ >= i__3; --i__) {
|
|
temp += a[l + i__ + j * a_dim1] * x[i__];
|
|
/* L90: */
|
|
}
|
|
x[j] = temp;
|
|
/* L100: */
|
|
}
|
|
} else {
|
|
kx += (*n - 1) * *incx;
|
|
jx = kx;
|
|
for (j = *n; j >= 1; --j) {
|
|
temp = x[jx];
|
|
kx -= *incx;
|
|
ix = kx;
|
|
l = kplus1 - j;
|
|
if (nounit) {
|
|
temp *= a[kplus1 + j * a_dim1];
|
|
}
|
|
/* Computing MAX */
|
|
i__4 = 1, i__1 = j - *k;
|
|
i__3 = f2c_max(i__4,i__1);
|
|
for (i__ = j - 1; i__ >= i__3; --i__) {
|
|
temp += a[l + i__ + j * a_dim1] * x[ix];
|
|
ix -= *incx;
|
|
/* L110: */
|
|
}
|
|
x[jx] = temp;
|
|
jx -= *incx;
|
|
/* L120: */
|
|
}
|
|
}
|
|
} else {
|
|
if (*incx == 1) {
|
|
i__3 = *n;
|
|
for (j = 1; j <= i__3; ++j) {
|
|
temp = x[j];
|
|
l = 1 - j;
|
|
if (nounit) {
|
|
temp *= a[j * a_dim1 + 1];
|
|
}
|
|
/* Computing MIN */
|
|
i__1 = *n, i__2 = j + *k;
|
|
i__4 = f2c_min(i__1,i__2);
|
|
for (i__ = j + 1; i__ <= i__4; ++i__) {
|
|
temp += a[l + i__ + j * a_dim1] * x[i__];
|
|
/* L130: */
|
|
}
|
|
x[j] = temp;
|
|
/* L140: */
|
|
}
|
|
} else {
|
|
jx = kx;
|
|
i__3 = *n;
|
|
for (j = 1; j <= i__3; ++j) {
|
|
temp = x[jx];
|
|
kx += *incx;
|
|
ix = kx;
|
|
l = 1 - j;
|
|
if (nounit) {
|
|
temp *= a[j * a_dim1 + 1];
|
|
}
|
|
/* Computing MIN */
|
|
i__1 = *n, i__2 = j + *k;
|
|
i__4 = f2c_min(i__1,i__2);
|
|
for (i__ = j + 1; i__ <= i__4; ++i__) {
|
|
temp += a[l + i__ + j * a_dim1] * x[ix];
|
|
ix += *incx;
|
|
/* L150: */
|
|
}
|
|
x[jx] = temp;
|
|
jx += *incx;
|
|
/* L160: */
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
return 0;
|
|
|
|
/* End of DTBMV . */
|
|
|
|
} /* dtbmv_ */
|
|
|
|
/* stbmv.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,tbmv)(const bla_character *uplo, const bla_character *trans, const bla_character *diag, const bla_integer *n, const bla_integer *k, const bla_real *a, const bla_integer *lda, bla_real *x, const bla_integer *incx)
|
|
{
|
|
/* System generated locals */
|
|
bla_integer a_dim1, a_offset, i__1, i__2, i__3, i__4;
|
|
|
|
/* Local variables */
|
|
bla_integer info;
|
|
bla_real temp;
|
|
bla_integer i__, j, l;
|
|
//extern bla_logical PASTEF770(lsame)(bla_character *, bla_character *, ftnlen, ftnlen);
|
|
bla_integer kplus1, ix, jx, kx = 0;
|
|
//extern /* Subroutine */ int PASTEF770(xerbla)(bla_character *, bla_integer *, ftnlen);
|
|
bla_logical nounit;
|
|
|
|
/* .. Scalar Arguments .. */
|
|
/* .. Array Arguments .. */
|
|
/* .. */
|
|
|
|
/* Purpose */
|
|
/* ======= */
|
|
|
|
/* STBMV performs one of the matrix-vector operations */
|
|
|
|
/* x := A*x, or x := A'*x, */
|
|
|
|
/* where x is an n element vector and A is an n by n unit, or non-unit, */
|
|
/* upper or lower triangular band matrix, with ( k + 1 ) diagonals. */
|
|
|
|
/* Parameters */
|
|
/* ========== */
|
|
|
|
/* UPLO - CHARACTER*1. */
|
|
/* On entry, UPLO specifies whether the matrix is an upper or */
|
|
/* lower triangular matrix as follows: */
|
|
|
|
/* UPLO = 'U' or 'u' A is an upper triangular matrix. */
|
|
|
|
/* UPLO = 'L' or 'l' A is a lower triangular matrix. */
|
|
|
|
/* Unchanged on exit. */
|
|
|
|
/* TRANS - CHARACTER*1. */
|
|
/* On entry, TRANS specifies the operation to be performed as */
|
|
/* follows: */
|
|
|
|
/* TRANS = 'N' or 'n' x := A*x. */
|
|
|
|
/* TRANS = 'T' or 't' x := A'*x. */
|
|
|
|
/* TRANS = 'C' or 'c' x := A'*x. */
|
|
|
|
/* Unchanged on exit. */
|
|
|
|
/* DIAG - CHARACTER*1. */
|
|
/* On entry, DIAG specifies whether or not A is unit */
|
|
/* triangular as follows: */
|
|
|
|
/* DIAG = 'U' or 'u' A is assumed to be unit triangular. */
|
|
|
|
/* DIAG = 'N' or 'n' A is not assumed to be unit */
|
|
/* triangular. */
|
|
|
|
/* 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 with UPLO = 'U' or 'u', K specifies the number of */
|
|
/* super-diagonals of the matrix A. */
|
|
/* On entry with UPLO = 'L' or 'l', K specifies the number of */
|
|
/* sub-diagonals of the matrix A. */
|
|
/* K must satisfy 0 .le. K. */
|
|
/* 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 matrix of coefficients, 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 an upper */
|
|
/* triangular 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 matrix of coefficients, 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 a lower */
|
|
/* triangular 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 when DIAG = 'U' or 'u' the elements of the array A */
|
|
/* corresponding to the diagonal elements of the matrix are not */
|
|
/* referenced, but are assumed to be unity. */
|
|
/* 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 n */
|
|
/* element vector x. On exit, X is overwritten with the */
|
|
/* tranformed vector x. */
|
|
|
|
/* INCX - INTEGER. */
|
|
/* On entry, INCX specifies the increment for the elements of */
|
|
/* X. INCX 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;
|
|
|
|
/* 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 (! PASTEF770(lsame)(trans, "N", (ftnlen)1, (ftnlen)1) && ! PASTEF770(lsame)(trans,
|
|
"T", (ftnlen)1, (ftnlen)1) && ! PASTEF770(lsame)(trans, "C", (ftnlen)1, (
|
|
ftnlen)1)) {
|
|
info = 2;
|
|
} else if (! PASTEF770(lsame)(diag, "U", (ftnlen)1, (ftnlen)1) && ! PASTEF770(lsame)(diag,
|
|
"N", (ftnlen)1, (ftnlen)1)) {
|
|
info = 3;
|
|
} else if (*n < 0) {
|
|
info = 4;
|
|
} else if (*k < 0) {
|
|
info = 5;
|
|
} else if (*lda < *k + 1) {
|
|
info = 7;
|
|
} else if (*incx == 0) {
|
|
info = 9;
|
|
}
|
|
if (info != 0) {
|
|
PASTEF770(xerbla)("STBMV ", &info, (ftnlen)6);
|
|
return 0;
|
|
}
|
|
|
|
/* Quick return if possible. */
|
|
|
|
if (*n == 0) {
|
|
return 0;
|
|
}
|
|
|
|
nounit = PASTEF770(lsame)(diag, "N", (ftnlen)1, (ftnlen)1);
|
|
|
|
/* Set up the start point in X if the increment is not unity. This */
|
|
/* will be ( N - 1 )*INCX too small for descending loops. */
|
|
|
|
if (*incx <= 0) {
|
|
kx = 1 - (*n - 1) * *incx;
|
|
} else if (*incx != 1) {
|
|
kx = 1;
|
|
}
|
|
|
|
/* Start the operations. In this version the elements of A are */
|
|
/* accessed sequentially with one pass through A. */
|
|
|
|
if (PASTEF770(lsame)(trans, "N", (ftnlen)1, (ftnlen)1)) {
|
|
|
|
/* Form x := A*x. */
|
|
|
|
if (PASTEF770(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1)) {
|
|
kplus1 = *k + 1;
|
|
if (*incx == 1) {
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
if (x[j] != 0.f) {
|
|
temp = x[j];
|
|
l = kplus1 - j;
|
|
/* Computing MAX */
|
|
i__2 = 1, i__3 = j - *k;
|
|
i__4 = j - 1;
|
|
for (i__ = f2c_max(i__2,i__3); i__ <= i__4; ++i__) {
|
|
x[i__] += temp * a[l + i__ + j * a_dim1];
|
|
/* L10: */
|
|
}
|
|
if (nounit) {
|
|
x[j] *= a[kplus1 + j * a_dim1];
|
|
}
|
|
}
|
|
/* L20: */
|
|
}
|
|
} else {
|
|
jx = kx;
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
if (x[jx] != 0.f) {
|
|
temp = x[jx];
|
|
ix = kx;
|
|
l = kplus1 - j;
|
|
/* Computing MAX */
|
|
i__4 = 1, i__2 = j - *k;
|
|
i__3 = j - 1;
|
|
for (i__ = f2c_max(i__4,i__2); i__ <= i__3; ++i__) {
|
|
x[ix] += temp * a[l + i__ + j * a_dim1];
|
|
ix += *incx;
|
|
/* L30: */
|
|
}
|
|
if (nounit) {
|
|
x[jx] *= a[kplus1 + j * a_dim1];
|
|
}
|
|
}
|
|
jx += *incx;
|
|
if (j > *k) {
|
|
kx += *incx;
|
|
}
|
|
/* L40: */
|
|
}
|
|
}
|
|
} else {
|
|
if (*incx == 1) {
|
|
for (j = *n; j >= 1; --j) {
|
|
if (x[j] != 0.f) {
|
|
temp = x[j];
|
|
l = 1 - j;
|
|
/* Computing MIN */
|
|
i__1 = *n, i__3 = j + *k;
|
|
i__4 = j + 1;
|
|
for (i__ = f2c_min(i__1,i__3); i__ >= i__4; --i__) {
|
|
x[i__] += temp * a[l + i__ + j * a_dim1];
|
|
/* L50: */
|
|
}
|
|
if (nounit) {
|
|
x[j] *= a[j * a_dim1 + 1];
|
|
}
|
|
}
|
|
/* L60: */
|
|
}
|
|
} else {
|
|
kx += (*n - 1) * *incx;
|
|
jx = kx;
|
|
for (j = *n; j >= 1; --j) {
|
|
if (x[jx] != 0.f) {
|
|
temp = x[jx];
|
|
ix = kx;
|
|
l = 1 - j;
|
|
/* Computing MIN */
|
|
i__4 = *n, i__1 = j + *k;
|
|
i__3 = j + 1;
|
|
for (i__ = f2c_min(i__4,i__1); i__ >= i__3; --i__) {
|
|
x[ix] += temp * a[l + i__ + j * a_dim1];
|
|
ix -= *incx;
|
|
/* L70: */
|
|
}
|
|
if (nounit) {
|
|
x[jx] *= a[j * a_dim1 + 1];
|
|
}
|
|
}
|
|
jx -= *incx;
|
|
if (*n - j >= *k) {
|
|
kx -= *incx;
|
|
}
|
|
/* L80: */
|
|
}
|
|
}
|
|
}
|
|
} else {
|
|
|
|
/* Form x := A'*x. */
|
|
|
|
if (PASTEF770(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1)) {
|
|
kplus1 = *k + 1;
|
|
if (*incx == 1) {
|
|
for (j = *n; j >= 1; --j) {
|
|
temp = x[j];
|
|
l = kplus1 - j;
|
|
if (nounit) {
|
|
temp *= a[kplus1 + j * a_dim1];
|
|
}
|
|
/* Computing MAX */
|
|
i__4 = 1, i__1 = j - *k;
|
|
i__3 = f2c_max(i__4,i__1);
|
|
for (i__ = j - 1; i__ >= i__3; --i__) {
|
|
temp += a[l + i__ + j * a_dim1] * x[i__];
|
|
/* L90: */
|
|
}
|
|
x[j] = temp;
|
|
/* L100: */
|
|
}
|
|
} else {
|
|
kx += (*n - 1) * *incx;
|
|
jx = kx;
|
|
for (j = *n; j >= 1; --j) {
|
|
temp = x[jx];
|
|
kx -= *incx;
|
|
ix = kx;
|
|
l = kplus1 - j;
|
|
if (nounit) {
|
|
temp *= a[kplus1 + j * a_dim1];
|
|
}
|
|
/* Computing MAX */
|
|
i__4 = 1, i__1 = j - *k;
|
|
i__3 = f2c_max(i__4,i__1);
|
|
for (i__ = j - 1; i__ >= i__3; --i__) {
|
|
temp += a[l + i__ + j * a_dim1] * x[ix];
|
|
ix -= *incx;
|
|
/* L110: */
|
|
}
|
|
x[jx] = temp;
|
|
jx -= *incx;
|
|
/* L120: */
|
|
}
|
|
}
|
|
} else {
|
|
if (*incx == 1) {
|
|
i__3 = *n;
|
|
for (j = 1; j <= i__3; ++j) {
|
|
temp = x[j];
|
|
l = 1 - j;
|
|
if (nounit) {
|
|
temp *= a[j * a_dim1 + 1];
|
|
}
|
|
/* Computing MIN */
|
|
i__1 = *n, i__2 = j + *k;
|
|
i__4 = f2c_min(i__1,i__2);
|
|
for (i__ = j + 1; i__ <= i__4; ++i__) {
|
|
temp += a[l + i__ + j * a_dim1] * x[i__];
|
|
/* L130: */
|
|
}
|
|
x[j] = temp;
|
|
/* L140: */
|
|
}
|
|
} else {
|
|
jx = kx;
|
|
i__3 = *n;
|
|
for (j = 1; j <= i__3; ++j) {
|
|
temp = x[jx];
|
|
kx += *incx;
|
|
ix = kx;
|
|
l = 1 - j;
|
|
if (nounit) {
|
|
temp *= a[j * a_dim1 + 1];
|
|
}
|
|
/* Computing MIN */
|
|
i__1 = *n, i__2 = j + *k;
|
|
i__4 = f2c_min(i__1,i__2);
|
|
for (i__ = j + 1; i__ <= i__4; ++i__) {
|
|
temp += a[l + i__ + j * a_dim1] * x[ix];
|
|
ix += *incx;
|
|
/* L150: */
|
|
}
|
|
x[jx] = temp;
|
|
jx += *incx;
|
|
/* L160: */
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
return 0;
|
|
|
|
/* End of STBMV . */
|
|
|
|
} /* stbmv_ */
|
|
|
|
/* ztbmv.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,tbmv)(const bla_character *uplo, const bla_character *trans, const bla_character *diag, const bla_integer *n, const bla_integer *k, const bla_dcomplex *a, const bla_integer *lda, bla_dcomplex *x, const bla_integer *incx)
|
|
{
|
|
/* System generated locals */
|
|
bla_integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5;
|
|
bla_dcomplex z__1, z__2, z__3;
|
|
|
|
/* Builtin functions */
|
|
//void bla_d_cnjg(bla_dcomplex *, bla_dcomplex *);
|
|
|
|
/* Local variables */
|
|
bla_integer info;
|
|
bla_dcomplex temp;
|
|
bla_integer i__, j, l;
|
|
//extern bla_logical PASTEF770(lsame)(bla_character *, bla_character *, ftnlen, ftnlen);
|
|
bla_integer kplus1, ix, jx, kx = 0;
|
|
//extern /* Subroutine */ int PASTEF770(xerbla)(bla_character *, bla_integer *, ftnlen);
|
|
bla_logical noconj, nounit;
|
|
|
|
/* .. Scalar Arguments .. */
|
|
/* .. Array Arguments .. */
|
|
/* .. */
|
|
|
|
/* Purpose */
|
|
/* ======= */
|
|
|
|
/* ZTBMV performs one of the matrix-vector operations */
|
|
|
|
/* x := A*x, or x := A'*x, or x := conjg( A' )*x, */
|
|
|
|
/* where x is an n element vector and A is an n by n unit, or non-unit, */
|
|
/* upper or lower triangular band matrix, with ( k + 1 ) diagonals. */
|
|
|
|
/* Parameters */
|
|
/* ========== */
|
|
|
|
/* UPLO - CHARACTER*1. */
|
|
/* On entry, UPLO specifies whether the matrix is an upper or */
|
|
/* lower triangular matrix as follows: */
|
|
|
|
/* UPLO = 'U' or 'u' A is an upper triangular matrix. */
|
|
|
|
/* UPLO = 'L' or 'l' A is a lower triangular matrix. */
|
|
|
|
/* Unchanged on exit. */
|
|
|
|
/* TRANS - CHARACTER*1. */
|
|
/* On entry, TRANS specifies the operation to be performed as */
|
|
/* follows: */
|
|
|
|
/* TRANS = 'N' or 'n' x := A*x. */
|
|
|
|
/* TRANS = 'T' or 't' x := A'*x. */
|
|
|
|
/* TRANS = 'C' or 'c' x := conjg( A' )*x. */
|
|
|
|
/* Unchanged on exit. */
|
|
|
|
/* DIAG - CHARACTER*1. */
|
|
/* On entry, DIAG specifies whether or not A is unit */
|
|
/* triangular as follows: */
|
|
|
|
/* DIAG = 'U' or 'u' A is assumed to be unit triangular. */
|
|
|
|
/* DIAG = 'N' or 'n' A is not assumed to be unit */
|
|
/* triangular. */
|
|
|
|
/* 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 with UPLO = 'U' or 'u', K specifies the number of */
|
|
/* super-diagonals of the matrix A. */
|
|
/* On entry with UPLO = 'L' or 'l', K specifies the number of */
|
|
/* sub-diagonals of the matrix A. */
|
|
/* K must satisfy 0 .le. K. */
|
|
/* 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 matrix of coefficients, 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 an upper */
|
|
/* triangular 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 matrix of coefficients, 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 a lower */
|
|
/* triangular 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 when DIAG = 'U' or 'u' the elements of the array A */
|
|
/* corresponding to the diagonal elements of the matrix are not */
|
|
/* referenced, but are assumed to be unity. */
|
|
/* 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 n */
|
|
/* element vector x. On exit, X is overwritten with the */
|
|
/* tranformed vector x. */
|
|
|
|
/* INCX - INTEGER. */
|
|
/* On entry, INCX specifies the increment for the elements of */
|
|
/* X. INCX 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;
|
|
|
|
/* 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 (! PASTEF770(lsame)(trans, "N", (ftnlen)1, (ftnlen)1) && ! PASTEF770(lsame)(trans,
|
|
"T", (ftnlen)1, (ftnlen)1) && ! PASTEF770(lsame)(trans, "C", (ftnlen)1, (
|
|
ftnlen)1)) {
|
|
info = 2;
|
|
} else if (! PASTEF770(lsame)(diag, "U", (ftnlen)1, (ftnlen)1) && ! PASTEF770(lsame)(diag,
|
|
"N", (ftnlen)1, (ftnlen)1)) {
|
|
info = 3;
|
|
} else if (*n < 0) {
|
|
info = 4;
|
|
} else if (*k < 0) {
|
|
info = 5;
|
|
} else if (*lda < *k + 1) {
|
|
info = 7;
|
|
} else if (*incx == 0) {
|
|
info = 9;
|
|
}
|
|
if (info != 0) {
|
|
PASTEF770(xerbla)("ZTBMV ", &info, (ftnlen)6);
|
|
return 0;
|
|
}
|
|
|
|
/* Quick return if possible. */
|
|
|
|
if (*n == 0) {
|
|
return 0;
|
|
}
|
|
|
|
noconj = PASTEF770(lsame)(trans, "T", (ftnlen)1, (ftnlen)1);
|
|
nounit = PASTEF770(lsame)(diag, "N", (ftnlen)1, (ftnlen)1);
|
|
|
|
/* Set up the start point in X if the increment is not unity. This */
|
|
/* will be ( N - 1 )*INCX too small for descending loops. */
|
|
|
|
if (*incx <= 0) {
|
|
kx = 1 - (*n - 1) * *incx;
|
|
} else if (*incx != 1) {
|
|
kx = 1;
|
|
}
|
|
|
|
/* Start the operations. In this version the elements of A are */
|
|
/* accessed sequentially with one pass through A. */
|
|
|
|
if (PASTEF770(lsame)(trans, "N", (ftnlen)1, (ftnlen)1)) {
|
|
|
|
/* Form x := A*x. */
|
|
|
|
if (PASTEF770(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1)) {
|
|
kplus1 = *k + 1;
|
|
if (*incx == 1) {
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = j;
|
|
if (bli_zreal(x[i__2]) != 0. || bli_zimag(x[i__2]) != 0.) {
|
|
i__2 = j;
|
|
bli_zsets( (bli_zreal(x[i__2])), (bli_zimag(x[i__2])), temp );
|
|
l = kplus1 - j;
|
|
/* Computing MAX */
|
|
i__2 = 1, i__3 = j - *k;
|
|
i__4 = j - 1;
|
|
for (i__ = f2c_max(i__2,i__3); i__ <= i__4; ++i__) {
|
|
i__2 = i__;
|
|
i__3 = i__;
|
|
i__5 = l + i__ + j * a_dim1;
|
|
bli_zsets( (bli_zreal(temp) * bli_zreal(a[i__5]) - bli_zimag(temp) * bli_zimag(a[i__5])), (bli_zreal(temp) * bli_zimag(a[i__5]) + bli_zimag(temp) * bli_zreal(a[i__5])), z__2 );
|
|
bli_zsets( (bli_zreal(x[i__3]) + bli_zreal(z__2)), (bli_zimag(x[i__3]) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), x[i__2] );
|
|
/* L10: */
|
|
}
|
|
if (nounit) {
|
|
i__4 = j;
|
|
i__2 = j;
|
|
i__3 = kplus1 + j * a_dim1;
|
|
bli_zsets( (bli_zreal(x[i__2]) * bli_zreal(a[i__3]) - bli_zimag(x[i__2]) * bli_zimag(a[i__3])), (bli_zreal(x[i__2]) * bli_zimag(a[i__3]) + bli_zimag(x[i__2]) * bli_zreal(a[i__3])), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), x[i__4] );
|
|
}
|
|
}
|
|
/* L20: */
|
|
}
|
|
} else {
|
|
jx = kx;
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__4 = jx;
|
|
if (bli_zreal(x[i__4]) != 0. || bli_zimag(x[i__4]) != 0.) {
|
|
i__4 = jx;
|
|
bli_zsets( (bli_zreal(x[i__4])), (bli_zimag(x[i__4])), temp );
|
|
ix = kx;
|
|
l = kplus1 - j;
|
|
/* Computing MAX */
|
|
i__4 = 1, i__2 = j - *k;
|
|
i__3 = j - 1;
|
|
for (i__ = f2c_max(i__4,i__2); i__ <= i__3; ++i__) {
|
|
i__4 = ix;
|
|
i__2 = ix;
|
|
i__5 = l + i__ + j * a_dim1;
|
|
bli_zsets( (bli_zreal(temp) * bli_zreal(a[i__5]) - bli_zimag(temp) * bli_zimag(a[i__5])), (bli_zreal(temp) * bli_zimag(a[i__5]) + bli_zimag(temp) * bli_zreal(a[i__5])), z__2 );
|
|
bli_zsets( (bli_zreal(x[i__2]) + bli_zreal(z__2)), (bli_zimag(x[i__2]) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), x[i__4] );
|
|
ix += *incx;
|
|
/* L30: */
|
|
}
|
|
if (nounit) {
|
|
i__3 = jx;
|
|
i__4 = jx;
|
|
i__2 = kplus1 + j * a_dim1;
|
|
bli_zsets( (bli_zreal(x[i__4]) * bli_zreal(a[i__2]) - bli_zimag(x[i__4]) * bli_zimag(a[i__2])), (bli_zreal(x[i__4]) * bli_zimag(a[i__2]) + bli_zimag(x[i__4]) * bli_zreal(a[i__2])), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), x[i__3] );
|
|
}
|
|
}
|
|
jx += *incx;
|
|
if (j > *k) {
|
|
kx += *incx;
|
|
}
|
|
/* L40: */
|
|
}
|
|
}
|
|
} else {
|
|
if (*incx == 1) {
|
|
for (j = *n; j >= 1; --j) {
|
|
i__1 = j;
|
|
if (bli_zreal(x[i__1]) != 0. || bli_zimag(x[i__1]) != 0.) {
|
|
i__1 = j;
|
|
bli_zsets( (bli_zreal(x[i__1])), (bli_zimag(x[i__1])), temp );
|
|
l = 1 - j;
|
|
/* Computing MIN */
|
|
i__1 = *n, i__3 = j + *k;
|
|
i__4 = j + 1;
|
|
for (i__ = f2c_min(i__1,i__3); i__ >= i__4; --i__) {
|
|
i__1 = i__;
|
|
i__3 = i__;
|
|
i__2 = l + i__ + j * a_dim1;
|
|
bli_zsets( (bli_zreal(temp) * bli_zreal(a[i__2]) - bli_zimag(temp) * bli_zimag(a[i__2])), (bli_zreal(temp) * bli_zimag(a[i__2]) + bli_zimag(temp) * bli_zreal(a[i__2])), z__2 );
|
|
bli_zsets( (bli_zreal(x[i__3]) + bli_zreal(z__2)), (bli_zimag(x[i__3]) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), x[i__1] );
|
|
/* L50: */
|
|
}
|
|
if (nounit) {
|
|
i__4 = j;
|
|
i__1 = j;
|
|
i__3 = j * a_dim1 + 1;
|
|
bli_zsets( (bli_zreal(x[i__1]) * bli_zreal(a[i__3]) - bli_zimag(x[i__1]) * bli_zimag(a[i__3])), (bli_zreal(x[i__1]) * bli_zimag(a[i__3]) + bli_zimag(x[i__1]) * bli_zreal(a[i__3])), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), x[i__4] );
|
|
}
|
|
}
|
|
/* L60: */
|
|
}
|
|
} else {
|
|
kx += (*n - 1) * *incx;
|
|
jx = kx;
|
|
for (j = *n; j >= 1; --j) {
|
|
i__4 = jx;
|
|
if (bli_zreal(x[i__4]) != 0. || bli_zimag(x[i__4]) != 0.) {
|
|
i__4 = jx;
|
|
bli_zsets( (bli_zreal(x[i__4])), (bli_zimag(x[i__4])), temp );
|
|
ix = kx;
|
|
l = 1 - j;
|
|
/* Computing MIN */
|
|
i__4 = *n, i__1 = j + *k;
|
|
i__3 = j + 1;
|
|
for (i__ = f2c_min(i__4,i__1); i__ >= i__3; --i__) {
|
|
i__4 = ix;
|
|
i__1 = ix;
|
|
i__2 = l + i__ + j * a_dim1;
|
|
bli_zsets( (bli_zreal(temp) * bli_zreal(a[i__2]) - bli_zimag(temp) * bli_zimag(a[i__2])), (bli_zreal(temp) * bli_zimag(a[i__2]) + bli_zimag(temp) * bli_zreal(a[i__2])), z__2 );
|
|
bli_zsets( (bli_zreal(x[i__1]) + bli_zreal(z__2)), (bli_zimag(x[i__1]) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), x[i__4] );
|
|
ix -= *incx;
|
|
/* L70: */
|
|
}
|
|
if (nounit) {
|
|
i__3 = jx;
|
|
i__4 = jx;
|
|
i__1 = j * a_dim1 + 1;
|
|
bli_zsets( (bli_zreal(x[i__4]) * bli_zreal(a[i__1]) - bli_zimag(x[i__4]) * bli_zimag(a[i__1])), (bli_zreal(x[i__4]) * bli_zimag(a[i__1]) + bli_zimag(x[i__4]) * bli_zreal(a[i__1])), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), x[i__3] );
|
|
}
|
|
}
|
|
jx -= *incx;
|
|
if (*n - j >= *k) {
|
|
kx -= *incx;
|
|
}
|
|
/* L80: */
|
|
}
|
|
}
|
|
}
|
|
} else {
|
|
|
|
/* Form x := A'*x or x := conjg( A' )*x. */
|
|
|
|
if (PASTEF770(lsame)(uplo, "U", (ftnlen)1, (ftnlen)1)) {
|
|
kplus1 = *k + 1;
|
|
if (*incx == 1) {
|
|
for (j = *n; j >= 1; --j) {
|
|
i__3 = j;
|
|
bli_zsets( (bli_zreal(x[i__3])), (bli_zimag(x[i__3])), temp );
|
|
l = kplus1 - j;
|
|
if (noconj) {
|
|
if (nounit) {
|
|
i__3 = kplus1 + j * a_dim1;
|
|
bli_zsets( (bli_zreal(temp) * bli_zreal(a[i__3]) - bli_zimag(temp) * bli_zimag(a[i__3])), (bli_zreal(temp) * bli_zimag(a[i__3]) + bli_zimag(temp) * bli_zreal(a[i__3])), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp );
|
|
}
|
|
/* Computing MAX */
|
|
i__4 = 1, i__1 = j - *k;
|
|
i__3 = f2c_max(i__4,i__1);
|
|
for (i__ = j - 1; i__ >= i__3; --i__) {
|
|
i__4 = l + i__ + j * a_dim1;
|
|
i__1 = i__;
|
|
bli_zsets( (bli_zreal(a[i__4]) * bli_zreal(x[i__1]) - bli_zimag(a[i__4]) * bli_zimag(x[i__1])), (bli_zreal(a[i__4]) * bli_zimag(x[i__1]) + bli_zimag(a[i__4]) * bli_zreal(x[i__1])), z__2 );
|
|
bli_zsets( (bli_zreal(temp) + bli_zreal(z__2)), (bli_zimag(temp) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp );
|
|
/* L90: */
|
|
}
|
|
} else {
|
|
if (nounit) {
|
|
bla_d_cnjg(&z__2, &a[kplus1 + j * a_dim1]);
|
|
bli_zsets( (bli_zreal(temp) * bli_zreal(z__2) - bli_zimag(temp) * bli_zimag(z__2)), (bli_zreal(temp) * bli_zimag(z__2) + bli_zimag(temp) * bli_zreal(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp );
|
|
}
|
|
/* Computing MAX */
|
|
i__4 = 1, i__1 = j - *k;
|
|
i__3 = f2c_max(i__4,i__1);
|
|
for (i__ = j - 1; i__ >= i__3; --i__) {
|
|
bla_d_cnjg(&z__3, &a[l + i__ + j * a_dim1]);
|
|
i__4 = i__;
|
|
bli_zsets( (bli_zreal(z__3) * bli_zreal(x[i__4]) - bli_zimag(z__3) * bli_zimag(x[i__4])), (bli_zreal(z__3) * bli_zimag(x[i__4]) + bli_zimag(z__3) * bli_zreal(x[i__4])), z__2 );
|
|
bli_zsets( (bli_zreal(temp) + bli_zreal(z__2)), (bli_zimag(temp) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp );
|
|
/* L100: */
|
|
}
|
|
}
|
|
i__3 = j;
|
|
bli_zsets( (bli_zreal(temp)), (bli_zimag(temp)), x[i__3] );
|
|
/* L110: */
|
|
}
|
|
} else {
|
|
kx += (*n - 1) * *incx;
|
|
jx = kx;
|
|
for (j = *n; j >= 1; --j) {
|
|
i__3 = jx;
|
|
bli_zsets( (bli_zreal(x[i__3])), (bli_zimag(x[i__3])), temp );
|
|
kx -= *incx;
|
|
ix = kx;
|
|
l = kplus1 - j;
|
|
if (noconj) {
|
|
if (nounit) {
|
|
i__3 = kplus1 + j * a_dim1;
|
|
bli_zsets( (bli_zreal(temp) * bli_zreal(a[i__3]) - bli_zimag(temp) * bli_zimag(a[i__3])), (bli_zreal(temp) * bli_zimag(a[i__3]) + bli_zimag(temp) * bli_zreal(a[i__3])), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp );
|
|
}
|
|
/* Computing MAX */
|
|
i__4 = 1, i__1 = j - *k;
|
|
i__3 = f2c_max(i__4,i__1);
|
|
for (i__ = j - 1; i__ >= i__3; --i__) {
|
|
i__4 = l + i__ + j * a_dim1;
|
|
i__1 = ix;
|
|
bli_zsets( (bli_zreal(a[i__4]) * bli_zreal(x[i__1]) - bli_zimag(a[i__4]) * bli_zimag(x[i__1])), (bli_zreal(a[i__4]) * bli_zimag(x[i__1]) + bli_zimag(a[i__4]) * bli_zreal(x[i__1])), z__2 );
|
|
bli_zsets( (bli_zreal(temp) + bli_zreal(z__2)), (bli_zimag(temp) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp );
|
|
ix -= *incx;
|
|
/* L120: */
|
|
}
|
|
} else {
|
|
if (nounit) {
|
|
bla_d_cnjg(&z__2, &a[kplus1 + j * a_dim1]);
|
|
bli_zsets( (bli_zreal(temp) * bli_zreal(z__2) - bli_zimag(temp) * bli_zimag(z__2)), (bli_zreal(temp) * bli_zimag(z__2) + bli_zimag(temp) * bli_zreal(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp );
|
|
}
|
|
/* Computing MAX */
|
|
i__4 = 1, i__1 = j - *k;
|
|
i__3 = f2c_max(i__4,i__1);
|
|
for (i__ = j - 1; i__ >= i__3; --i__) {
|
|
bla_d_cnjg(&z__3, &a[l + i__ + j * a_dim1]);
|
|
i__4 = ix;
|
|
bli_zsets( (bli_zreal(z__3) * bli_zreal(x[i__4]) - bli_zimag(z__3) * bli_zimag(x[i__4])), (bli_zreal(z__3) * bli_zimag(x[i__4]) + bli_zimag(z__3) * bli_zreal(x[i__4])), z__2 );
|
|
bli_zsets( (bli_zreal(temp) + bli_zreal(z__2)), (bli_zimag(temp) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp );
|
|
ix -= *incx;
|
|
/* L130: */
|
|
}
|
|
}
|
|
i__3 = jx;
|
|
bli_zsets( (bli_zreal(temp)), (bli_zimag(temp)), x[i__3] );
|
|
jx -= *incx;
|
|
/* L140: */
|
|
}
|
|
}
|
|
} else {
|
|
if (*incx == 1) {
|
|
i__3 = *n;
|
|
for (j = 1; j <= i__3; ++j) {
|
|
i__4 = j;
|
|
bli_zsets( (bli_zreal(x[i__4])), (bli_zimag(x[i__4])), temp );
|
|
l = 1 - j;
|
|
if (noconj) {
|
|
if (nounit) {
|
|
i__4 = j * a_dim1 + 1;
|
|
bli_zsets( (bli_zreal(temp) * bli_zreal(a[i__4]) - bli_zimag(temp) * bli_zimag(a[i__4])), (bli_zreal(temp) * bli_zimag(a[i__4]) + bli_zimag(temp) * bli_zreal(a[i__4])), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp );
|
|
}
|
|
/* Computing MIN */
|
|
i__1 = *n, i__2 = j + *k;
|
|
i__4 = f2c_min(i__1,i__2);
|
|
for (i__ = j + 1; i__ <= i__4; ++i__) {
|
|
i__1 = l + i__ + j * a_dim1;
|
|
i__2 = i__;
|
|
bli_zsets( (bli_zreal(a[i__1]) * bli_zreal(x[i__2]) - bli_zimag(a[i__1]) * bli_zimag(x[i__2])), (bli_zreal(a[i__1]) * bli_zimag(x[i__2]) + bli_zimag(a[i__1]) * bli_zreal(x[i__2])), z__2 );
|
|
bli_zsets( (bli_zreal(temp) + bli_zreal(z__2)), (bli_zimag(temp) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp );
|
|
/* L150: */
|
|
}
|
|
} else {
|
|
if (nounit) {
|
|
bla_d_cnjg(&z__2, &a[j * a_dim1 + 1]);
|
|
bli_zsets( (bli_zreal(temp) * bli_zreal(z__2) - bli_zimag(temp) * bli_zimag(z__2)), (bli_zreal(temp) * bli_zimag(z__2) + bli_zimag(temp) * bli_zreal(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp );
|
|
}
|
|
/* Computing MIN */
|
|
i__1 = *n, i__2 = j + *k;
|
|
i__4 = f2c_min(i__1,i__2);
|
|
for (i__ = j + 1; i__ <= i__4; ++i__) {
|
|
bla_d_cnjg(&z__3, &a[l + i__ + j * a_dim1]);
|
|
i__1 = i__;
|
|
bli_zsets( (bli_zreal(z__3) * bli_zreal(x[i__1]) - bli_zimag(z__3) * bli_zimag(x[i__1])), (bli_zreal(z__3) * bli_zimag(x[i__1]) + bli_zimag(z__3) * bli_zreal(x[i__1])), z__2 );
|
|
bli_zsets( (bli_zreal(temp) + bli_zreal(z__2)), (bli_zimag(temp) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp );
|
|
/* L160: */
|
|
}
|
|
}
|
|
i__4 = j;
|
|
bli_zsets( (bli_zreal(temp)), (bli_zimag(temp)), x[i__4] );
|
|
/* L170: */
|
|
}
|
|
} else {
|
|
jx = kx;
|
|
i__3 = *n;
|
|
for (j = 1; j <= i__3; ++j) {
|
|
i__4 = jx;
|
|
bli_zsets( (bli_zreal(x[i__4])), (bli_zimag(x[i__4])), temp );
|
|
kx += *incx;
|
|
ix = kx;
|
|
l = 1 - j;
|
|
if (noconj) {
|
|
if (nounit) {
|
|
i__4 = j * a_dim1 + 1;
|
|
bli_zsets( (bli_zreal(temp) * bli_zreal(a[i__4]) - bli_zimag(temp) * bli_zimag(a[i__4])), (bli_zreal(temp) * bli_zimag(a[i__4]) + bli_zimag(temp) * bli_zreal(a[i__4])), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp );
|
|
}
|
|
/* Computing MIN */
|
|
i__1 = *n, i__2 = j + *k;
|
|
i__4 = f2c_min(i__1,i__2);
|
|
for (i__ = j + 1; i__ <= i__4; ++i__) {
|
|
i__1 = l + i__ + j * a_dim1;
|
|
i__2 = ix;
|
|
bli_zsets( (bli_zreal(a[i__1]) * bli_zreal(x[i__2]) - bli_zimag(a[i__1]) * bli_zimag(x[i__2])), (bli_zreal(a[i__1]) * bli_zimag(x[i__2]) + bli_zimag(a[i__1]) * bli_zreal(x[i__2])), z__2 );
|
|
bli_zsets( (bli_zreal(temp) + bli_zreal(z__2)), (bli_zimag(temp) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp );
|
|
ix += *incx;
|
|
/* L180: */
|
|
}
|
|
} else {
|
|
if (nounit) {
|
|
bla_d_cnjg(&z__2, &a[j * a_dim1 + 1]);
|
|
bli_zsets( (bli_zreal(temp) * bli_zreal(z__2) - bli_zimag(temp) * bli_zimag(z__2)), (bli_zreal(temp) * bli_zimag(z__2) + bli_zimag(temp) * bli_zreal(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp );
|
|
}
|
|
/* Computing MIN */
|
|
i__1 = *n, i__2 = j + *k;
|
|
i__4 = f2c_min(i__1,i__2);
|
|
for (i__ = j + 1; i__ <= i__4; ++i__) {
|
|
bla_d_cnjg(&z__3, &a[l + i__ + j * a_dim1]);
|
|
i__1 = ix;
|
|
bli_zsets( (bli_zreal(z__3) * bli_zreal(x[i__1]) - bli_zimag(z__3) * bli_zimag(x[i__1])), (bli_zreal(z__3) * bli_zimag(x[i__1]) + bli_zimag(z__3) * bli_zreal(x[i__1])), z__2 );
|
|
bli_zsets( (bli_zreal(temp) + bli_zreal(z__2)), (bli_zimag(temp) + bli_zimag(z__2)), z__1 );
|
|
bli_zsets( (bli_zreal(z__1)), (bli_zimag(z__1)), temp );
|
|
ix += *incx;
|
|
/* L190: */
|
|
}
|
|
}
|
|
i__4 = jx;
|
|
bli_zsets( (bli_zreal(temp)), (bli_zimag(temp)), x[i__4] );
|
|
jx += *incx;
|
|
/* L200: */
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
return 0;
|
|
|
|
/* End of ZTBMV . */
|
|
|
|
} /* ztbmv_ */
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|
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#endif
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