346 lines
8.2 KiB
C
346 lines
8.2 KiB
C
/* strmv.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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/* Subroutine */ int strmv_(char *uplo, char *trans, char *diag, integer *n,
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real *a, integer *lda, real *x, integer *incx)
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{
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/* System generated locals */
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integer a_dim1, a_offset, i__1, i__2;
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/* Local variables */
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integer i__, j, ix, jx, kx, info;
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real temp;
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extern logical lsame_(char *, char *);
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extern /* Subroutine */ int xerbla_(char *, integer *);
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logical nounit;
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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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/* STRMV performs one of the matrix-vector operations */
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/* x := A*x, or x := 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 matrix. */
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/* Arguments */
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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 := 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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/* A - REAL array of DIMENSION ( LDA, n ). */
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/* Before entry with UPLO = 'U' or 'u', the leading n by n */
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/* upper triangular part of the array A must contain the upper */
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/* triangular matrix and the strictly lower triangular part of */
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/* A is not referenced. */
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/* Before entry with UPLO = 'L' or 'l', the leading n by n */
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/* lower triangular part of the array A must contain the lower */
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/* triangular matrix and the strictly upper triangular part of */
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/* A is not referenced. */
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/* Note that when DIAG = 'U' or 'u', the diagonal elements of */
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/* A are not referenced either, 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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/* max( 1, n ). */
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/* Unchanged on exit. */
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/* X - REAL 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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/* .. */
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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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/* 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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--x;
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/* Function Body */
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info = 0;
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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 (! lsame_(diag, "U") && ! lsame_(diag,
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"N")) {
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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 (*lda < max(1,*n)) {
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info = 6;
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} else if (*incx == 0) {
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info = 8;
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}
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if (info != 0) {
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xerbla_("STRMV ", &info);
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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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nounit = lsame_(diag, "N");
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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 (lsame_(trans, "N")) {
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/* Form x := A*x. */
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if (lsame_(uplo, "U")) {
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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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if (x[j] != 0.f) {
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temp = x[j];
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i__2 = j - 1;
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for (i__ = 1; i__ <= i__2; ++i__) {
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x[i__] += temp * a[i__ + j * a_dim1];
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/* L10: */
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}
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if (nounit) {
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x[j] *= a[j + j * a_dim1];
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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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if (x[jx] != 0.f) {
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temp = x[jx];
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ix = kx;
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i__2 = j - 1;
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for (i__ = 1; i__ <= i__2; ++i__) {
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x[ix] += temp * a[i__ + j * a_dim1];
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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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x[jx] *= a[j + j * a_dim1];
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}
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}
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jx += *incx;
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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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if (x[j] != 0.f) {
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temp = x[j];
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i__1 = j + 1;
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for (i__ = *n; i__ >= i__1; --i__) {
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x[i__] += temp * a[i__ + j * a_dim1];
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/* L50: */
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}
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if (nounit) {
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x[j] *= a[j + j * a_dim1];
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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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if (x[jx] != 0.f) {
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temp = x[jx];
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ix = kx;
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i__1 = j + 1;
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for (i__ = *n; i__ >= i__1; --i__) {
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x[ix] += temp * a[i__ + j * a_dim1];
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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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x[jx] *= a[j + j * a_dim1];
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}
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}
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jx -= *incx;
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/* L80: */
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}
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}
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}
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} else {
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/* Form x := A'*x. */
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if (lsame_(uplo, "U")) {
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if (*incx == 1) {
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for (j = *n; j >= 1; --j) {
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temp = x[j];
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if (nounit) {
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temp *= a[j + j * a_dim1];
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}
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for (i__ = j - 1; i__ >= 1; --i__) {
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temp += a[i__ + j * a_dim1] * x[i__];
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/* L90: */
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}
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x[j] = temp;
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/* L100: */
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}
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} else {
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jx = kx + (*n - 1) * *incx;
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for (j = *n; j >= 1; --j) {
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temp = x[jx];
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ix = jx;
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if (nounit) {
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temp *= a[j + j * a_dim1];
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}
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for (i__ = j - 1; i__ >= 1; --i__) {
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ix -= *incx;
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temp += a[i__ + j * a_dim1] * x[ix];
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/* L110: */
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}
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x[jx] = temp;
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jx -= *incx;
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/* L120: */
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}
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}
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} else {
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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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temp = x[j];
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if (nounit) {
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temp *= a[j + j * a_dim1];
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}
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i__2 = *n;
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for (i__ = j + 1; i__ <= i__2; ++i__) {
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temp += a[i__ + j * a_dim1] * x[i__];
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/* L130: */
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}
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x[j] = temp;
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/* L140: */
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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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temp = x[jx];
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ix = jx;
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if (nounit) {
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temp *= a[j + j * a_dim1];
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}
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i__2 = *n;
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for (i__ = j + 1; i__ <= i__2; ++i__) {
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ix += *incx;
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temp += a[i__ + j * a_dim1] * x[ix];
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/* L150: */
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}
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x[jx] = temp;
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jx += *incx;
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/* L160: */
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}
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}
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}
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}
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return 0;
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/* End of STRMV . */
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} /* strmv_ */
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