#include "blaswrap.h" /* -- translated by f2c (version 19990503). You must link the resulting object file with the libraries: -lf2c -lm (in that order) */ #include "f2c.h" /* Table of constant values */ static integer c__8 = 8; static doublecomplex c_b6 = {0.,0.}; static integer c__1 = 1; static doublecomplex c_b15 = {-1.,0.}; doublereal zrzt01_(integer *m, integer *n, doublecomplex *a, doublecomplex * af, integer *lda, doublecomplex *tau, doublecomplex *work, integer * lwork) { /* System generated locals */ integer a_dim1, a_offset, af_dim1, af_offset, i__1, i__2, i__3, i__4; doublereal ret_val; /* Local variables */ static integer info, i__, j; static doublereal norma, rwork[1]; extern /* Subroutine */ int zaxpy_(integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, integer *); extern doublereal dlamch_(char *); extern /* Subroutine */ int xerbla_(char *, integer *); extern doublereal zlange_(char *, integer *, integer *, doublecomplex *, integer *, doublereal *); extern /* Subroutine */ int zlaset_(char *, integer *, integer *, doublecomplex *, doublecomplex *, doublecomplex *, integer *), zunmrz_(char *, char *, integer *, integer *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, integer *, integer *); #define a_subscr(a_1,a_2) (a_2)*a_dim1 + a_1 #define a_ref(a_1,a_2) a[a_subscr(a_1,a_2)] #define af_subscr(a_1,a_2) (a_2)*af_dim1 + a_1 #define af_ref(a_1,a_2) af[af_subscr(a_1,a_2)] /* -- LAPACK test routine (version 3.0) -- Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., Courant Institute, Argonne National Lab, and Rice University June 30, 1999 Purpose ======= ZRZT01 returns || A - R*Q || / ( M * eps * ||A|| ) for an upper trapezoidal A that was factored with ZTZRZF. 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) COMPLEX*16 array, dimension (LDA,N) The original upper trapezoidal M by N matrix A. AF (input) COMPLEX*16 array, dimension (LDA,N) The output of ZTZRZF for input matrix A. The lower triangle is not referenced. LDA (input) INTEGER The leading dimension of the arrays A and AF. TAU (input) COMPLEX*16 array, dimension (M) Details of the Householder transformations as returned by ZTZRZF. WORK (workspace) COMPLEX*16 array, dimension (LWORK) LWORK (input) INTEGER The length of the array WORK. LWORK >= m*n + m. ===================================================================== Parameter adjustments */ af_dim1 = *lda; af_offset = 1 + af_dim1 * 1; af -= af_offset; a_dim1 = *lda; a_offset = 1 + a_dim1 * 1; a -= a_offset; --tau; --work; /* Function Body */ ret_val = 0.; if (*lwork < *m * *n + *m) { xerbla_("ZRZT01", &c__8); return ret_val; } /* Quick return if possible */ if (*m <= 0 || *n <= 0) { return ret_val; } norma = zlange_("One-norm", m, n, &a[a_offset], lda, rwork); /* Copy upper triangle R */ zlaset_("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__) { i__3 = (j - 1) * *m + i__; i__4 = af_subscr(i__, j); work[i__3].r = af[i__4].r, work[i__3].i = af[i__4].i; /* L10: */ } /* L20: */ } /* R = R * P(1) * ... *P(m) */ i__1 = *n - *m; i__2 = *lwork - *m * *n; zunmrz_("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__) { zaxpy_(m, &c_b15, &a_ref(1, i__), &c__1, &work[(i__ - 1) * *m + 1], & c__1); /* L30: */ } ret_val = zlange_("One-norm", m, n, &work[1], m, rwork); ret_val /= dlamch_("Epsilon") * (doublereal) max(*m,*n); if (norma != 0.) { ret_val /= norma; } return ret_val; /* End of ZRZT01 */ } /* zrzt01_ */ #undef af_ref #undef af_subscr #undef a_ref #undef a_subscr .