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183 lines
5.2 KiB
C
183 lines
5.2 KiB
C
/* strtrs.f -- translated by f2c (version 20061008).
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You must link the resulting object file with libf2c:
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on Microsoft Windows system, link with libf2c.lib;
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on Linux or Unix systems, link with .../path/to/libf2c.a -lm
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or, if you install libf2c.a in a standard place, with -lf2c -lm
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-- in that order, at the end of the command line, as in
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cc *.o -lf2c -lm
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Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,
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http://www.netlib.org/f2c/libf2c.zip
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*/
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#include "clapack.h"
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/* Table of constant values */
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static real c_b12 = 1.f;
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/* Subroutine */ int strtrs_(char *uplo, char *trans, char *diag, integer *n,
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integer *nrhs, real *a, integer *lda, real *b, integer *ldb, integer *
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info)
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{
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/* System generated locals */
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integer a_dim1, a_offset, b_dim1, b_offset, i__1;
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/* Local variables */
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extern logical lsame_(char *, char *);
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extern /* Subroutine */ int strsm_(char *, char *, char *, char *,
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integer *, integer *, real *, real *, integer *, real *, integer *
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), xerbla_(char *, integer *);
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logical nounit;
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/* -- LAPACK routine (version 3.2) -- */
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/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
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/* November 2006 */
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/* .. Scalar Arguments .. */
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/* .. */
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/* .. Array Arguments .. */
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/* .. */
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/* Purpose */
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/* ======= */
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/* STRTRS solves a triangular system of the form */
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/* A * X = B or A**T * X = B, */
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/* where A is a triangular matrix of order N, and B is an N-by-NRHS */
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/* matrix. A check is made to verify that A is nonsingular. */
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/* Arguments */
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/* ========= */
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/* UPLO (input) CHARACTER*1 */
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/* = 'U': A is upper triangular; */
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/* = 'L': A is lower triangular. */
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/* TRANS (input) CHARACTER*1 */
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/* Specifies the form of the system of equations: */
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/* = 'N': A * X = B (No transpose) */
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/* = 'T': A**T * X = B (Transpose) */
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/* = 'C': A**H * X = B (Conjugate transpose = Transpose) */
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/* DIAG (input) CHARACTER*1 */
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/* = 'N': A is non-unit triangular; */
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/* = 'U': A is unit triangular. */
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/* N (input) INTEGER */
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/* The order of the matrix A. N >= 0. */
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/* NRHS (input) INTEGER */
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/* The number of right hand sides, i.e., the number of columns */
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/* of the matrix B. NRHS >= 0. */
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/* A (input) REAL array, dimension (LDA,N) */
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/* The triangular matrix A. If UPLO = 'U', the leading N-by-N */
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/* upper triangular part of the array A contains the upper */
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/* triangular matrix, and the strictly lower triangular part of */
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/* A is not referenced. If UPLO = 'L', the leading N-by-N lower */
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/* triangular part of the array A contains the lower triangular */
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/* matrix, and the strictly upper triangular part of A is not */
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/* referenced. If DIAG = 'U', the diagonal elements of A are */
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/* also not referenced and are assumed to be 1. */
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/* LDA (input) INTEGER */
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/* The leading dimension of the array A. LDA >= max(1,N). */
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/* B (input/output) REAL array, dimension (LDB,NRHS) */
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/* On entry, the right hand side matrix B. */
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/* On exit, if INFO = 0, the solution matrix X. */
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/* LDB (input) INTEGER */
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/* The leading dimension of the array B. LDB >= max(1,N). */
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/* INFO (output) INTEGER */
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/* = 0: successful exit */
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/* < 0: if INFO = -i, the i-th argument had an illegal value */
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/* > 0: if INFO = i, the i-th diagonal element of A is zero, */
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/* indicating that the matrix is singular and the solutions */
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/* X have not been computed. */
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/* ===================================================================== */
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/* .. Parameters .. */
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/* .. */
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/* .. Local Scalars .. */
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/* .. */
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/* .. External Functions .. */
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/* .. */
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/* .. External Subroutines .. */
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/* .. */
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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;
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a -= a_offset;
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b_dim1 = *ldb;
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b_offset = 1 + b_dim1;
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b -= b_offset;
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/* Function Body */
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*info = 0;
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nounit = lsame_(diag, "N");
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if (! lsame_(uplo, "U") && ! lsame_(uplo, "L")) {
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*info = -1;
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} else if (! lsame_(trans, "N") && ! lsame_(trans,
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"T") && ! lsame_(trans, "C")) {
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*info = -2;
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} else if (! nounit && ! lsame_(diag, "U")) {
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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 (*nrhs < 0) {
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*info = -5;
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} else if (*lda < max(1,*n)) {
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*info = -7;
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} else if (*ldb < max(1,*n)) {
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*info = -9;
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}
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if (*info != 0) {
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i__1 = -(*info);
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xerbla_("STRTRS", &i__1);
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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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/* Check for singularity. */
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if (nounit) {
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i__1 = *n;
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for (*info = 1; *info <= i__1; ++(*info)) {
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if (a[*info + *info * a_dim1] == 0.f) {
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return 0;
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}
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/* L10: */
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}
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}
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*info = 0;
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/* Solve A * x = b or A' * x = b. */
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strsm_("Left", uplo, trans, diag, n, nrhs, &c_b12, &a[a_offset], lda, &b[
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b_offset], ldb);
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return 0;
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/* End of STRTRS */
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} /* strtrs_ */
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