#include "f2c.h" #include "blaswrap.h" /* Table of constant values */ static integer c__2 = 2; static integer c__1 = 1; static integer c__0 = 0; /* Subroutine */ int cqrt13_(integer *scale, integer *m, integer *n, complex * a, integer *lda, real *norma, integer *iseed) { /* System generated locals */ integer a_dim1, a_offset, i__1, i__2, i__3, i__4; real r__1, r__2, r__3; complex q__1, q__2; /* Builtin functions */ double r_sign(real *, real *); /* Local variables */ integer j, info; real dummy[1]; extern /* Subroutine */ int slabad_(real *, real *); extern doublereal clange_(char *, integer *, integer *, complex *, integer *, real *); extern /* Subroutine */ int clascl_(char *, integer *, integer *, real *, real *, integer *, integer *, complex *, integer *, integer *); extern doublereal slamch_(char *); real bignum; extern /* Subroutine */ int clarnv_(integer *, integer *, integer *, complex *); extern doublereal scasum_(integer *, complex *, integer *); real smlnum; /* -- LAPACK test routine (version 3.1) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* CQRT13 generates a full-rank matrix that may be scaled to have large */ /* or small norm. */ /* Arguments */ /* ========= */ /* SCALE (input) INTEGER */ /* SCALE = 1: normally scaled matrix */ /* SCALE = 2: matrix scaled up */ /* SCALE = 3: matrix scaled down */ /* M (input) INTEGER */ /* The number of rows of the matrix A. */ /* N (input) INTEGER */ /* The number of columns of A. */ /* A (output) COMPLEX array, dimension (LDA,N) */ /* The M-by-N matrix A. */ /* LDA (input) INTEGER */ /* The leading dimension of the array A. */ /* NORMA (output) REAL */ /* The one-norm of A. */ /* ISEED (input/output) integer array, dimension (4) */ /* Seed for random number generator */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Local Arrays .. */ /* .. */ /* .. Executable Statements .. */ /* Parameter adjustments */ a_dim1 = *lda; a_offset = 1 + a_dim1; a -= a_offset; --iseed; /* Function Body */ if (*m <= 0 || *n <= 0) { return 0; } /* benign matrix */ i__1 = *n; for (j = 1; j <= i__1; ++j) { clarnv_(&c__2, &iseed[1], m, &a[j * a_dim1 + 1]); if (j <= *m) { i__2 = j + j * a_dim1; i__3 = j + j * a_dim1; r__2 = scasum_(m, &a[j * a_dim1 + 1], &c__1); i__4 = j + j * a_dim1; r__3 = a[i__4].r; r__1 = r_sign(&r__2, &r__3); q__2.r = r__1, q__2.i = 0.f; q__1.r = a[i__3].r + q__2.r, q__1.i = a[i__3].i + q__2.i; a[i__2].r = q__1.r, a[i__2].i = q__1.i; } /* L10: */ } /* scaled versions */ if (*scale != 1) { *norma = clange_("Max", m, n, &a[a_offset], lda, dummy); smlnum = slamch_("Safe minimum"); bignum = 1.f / smlnum; slabad_(&smlnum, &bignum); smlnum /= slamch_("Epsilon"); bignum = 1.f / smlnum; if (*scale == 2) { /* matrix scaled up */ clascl_("General", &c__0, &c__0, norma, &bignum, m, n, &a[ a_offset], lda, &info); } else if (*scale == 3) { /* matrix scaled down */ clascl_("General", &c__0, &c__0, norma, &smlnum, m, n, &a[ a_offset], lda, &info); } } *norma = clange_("One-norm", m, n, &a[a_offset], lda, dummy); return 0; /* End of CQRT13 */ } /* cqrt13_ */