#include "f2c.h" #include "blaswrap.h" /* Table of constant values */ static integer c__8 = 8; static real c_b6 = 0.f; static real c_b13 = -1.f; static integer c__1 = 1; doublereal srzt01_(integer *m, integer *n, real *a, real *af, integer *lda, real *tau, real *work, integer *lwork) { /* System generated locals */ integer a_dim1, a_offset, af_dim1, af_offset, i__1, i__2; real ret_val; /* Local variables */ integer i__, j, info; real norma, rwork[1]; extern /* Subroutine */ int saxpy_(integer *, real *, real *, integer *, real *, integer *); extern doublereal slamch_(char *), slange_(char *, integer *, integer *, real *, integer *, real *); extern /* Subroutine */ int xerbla_(char *, integer *), slaset_( char *, integer *, integer *, real *, real *, real *, integer *), sormrz_(char *, char *, integer *, integer *, integer *, integer *, real *, integer *, real *, real *, integer *, real *, integer *, integer *); /* -- LAPACK test routine (version 3.1) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* SRZT01 returns */ /* || A - R*Q || / ( M * eps * ||A|| ) */ /* for an upper trapezoidal A that was factored with STZRZF. */ /* Arguments */ /* ========= */ /* M (input) INTEGER */ /* The number of rows of the matrices A and AF. */ /* N (input) INTEGER */ /* The number of columns of the matrices A and AF. */ /* A (input) REAL array, dimension (LDA,N) */ /* The original upper trapezoidal M by N matrix A. */ /* AF (input) REAL array, dimension (LDA,N) */ /* The output of STZRZF for input matrix A. */ /* The lower triangle is not referenced. */ /* LDA (input) INTEGER */ /* The leading dimension of the arrays A and AF. */ /* TAU (input) REAL array, dimension (M) */ /* Details of the Householder transformations as returned by */ /* STZRZF. */ /* WORK (workspace) REAL array, dimension (LWORK) */ /* LWORK (input) INTEGER */ /* The length of the array WORK. LWORK >= m*n + m*nb. */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. Local Arrays .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Executable Statements .. */ /* Parameter adjustments */ af_dim1 = *lda; af_offset = 1 + af_dim1; af -= af_offset; a_dim1 = *lda; a_offset = 1 + a_dim1; a -= a_offset; --tau; --work; /* Function Body */ ret_val = 0.f; if (*lwork < *m * *n + *m) { xerbla_("SRZT01", &c__8); return ret_val; } /* Quick return if possible */ if (*m <= 0 || *n <= 0) { return ret_val; } norma = slange_("One-norm", m, n, &a[a_offset], lda, rwork); /* Copy upper triangle R */ slaset_("Full", m, n, &c_b6, &c_b6, &work[1], m); i__1 = *m; for (j = 1; j <= i__1; ++j) { i__2 = j; for (i__ = 1; i__ <= i__2; ++i__) { work[(j - 1) * *m + i__] = af[i__ + j * af_dim1]; /* L10: */ } /* L20: */ } /* R = R * P(1) * ... *P(m) */ i__1 = *n - *m; i__2 = *lwork - *m * *n; sormrz_("Right", "No tranpose", m, n, m, &i__1, &af[af_offset], lda, &tau[ 1], &work[1], m, &work[*m * *n + 1], &i__2, &info); /* R = R - A */ i__1 = *n; for (i__ = 1; i__ <= i__1; ++i__) { saxpy_(m, &c_b13, &a[i__ * a_dim1 + 1], &c__1, &work[(i__ - 1) * *m + 1], &c__1); /* L30: */ } ret_val = slange_("One-norm", m, n, &work[1], m, rwork); ret_val /= slamch_("Epsilon") * (real) max(*m,*n); if (norma != 0.f) { ret_val /= norma; } return ret_val; /* End of SRZT01 */ } /* srzt01_ */