/* ztzt01.f -- translated by f2c (version 20061008). You must link the resulting object file with libf2c: on Microsoft Windows system, link with libf2c.lib; on Linux or Unix systems, link with .../path/to/libf2c.a -lm or, if you install libf2c.a in a standard place, with -lf2c -lm -- in that order, at the end of the command line, as in cc *.o -lf2c -lm Source for libf2c is in /netlib/f2c/libf2c.zip, e.g., http://www.netlib.org/f2c/libf2c.zip */ #include "f2c.h" #include "blaswrap.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 ztzt01_(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 */ integer i__, j; 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 *), zlatzm_(char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, doublecomplex *, integer *, doublecomplex *); /* -- LAPACK test routine (version 3.1) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* ZTZT01 returns */ /* || A - R*Q || / ( M * eps * ||A|| ) */ /* for an upper trapezoidal A that was factored with ZTZRQF. */ /* 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 ZTZRQF 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 */ /* ZTZRQF. */ /* WORK (workspace) COMPLEX*16 array, dimension (LWORK) */ /* LWORK (input) INTEGER */ /* The length of the array WORK. LWORK >= m*n + m. */ /* ===================================================================== */ /* .. 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.; if (*lwork < *m * *n + *m) { xerbla_("ZTZT01", &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 = i__ + j * af_dim1; 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 = *m; for (i__ = 1; i__ <= i__1; ++i__) { i__2 = *n - *m + 1; zlatzm_("Right", &i__, &i__2, &af[i__ + (*m + 1) * af_dim1], lda, & tau[i__], &work[(i__ - 1) * *m + 1], &work[*m * *m + 1], m, & work[*m * *n + 1]); /* L30: */ } /* R = R - A */ i__1 = *n; for (i__ = 1; i__ <= i__1; ++i__) { zaxpy_(m, &c_b15, &a[i__ * a_dim1 + 1], &c__1, &work[(i__ - 1) * *m + 1], &c__1); /* L40: */ } 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 ZTZT01 */ } /* ztzt01_ */