text: /* zqrt15.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 doublecomplex c_b1 = {0.,0.};
  static doublecomplex c_b2 = {1.,0.};
  static integer c__16 = 16;
  static integer c__2 = 2;
  static integer c__1 = 1;
  static doublecomplex c_b22 = {2.,0.};
  static integer c__0 = 0;
  
  /* Subroutine */ int zqrt15_(integer *scale, integer *rksel, integer *m, 
  	integer *n, integer *nrhs, doublecomplex *a, integer *lda, 
  	doublecomplex *b, integer *ldb, doublereal *s, integer *rank, 
  	doublereal *norma, doublereal *normb, integer *iseed, doublecomplex *
  	work, integer *lwork)
  {
      /* System generated locals */
      integer a_dim1, a_offset, b_dim1, b_offset, i__1, i__2;
      doublereal d__1;
  
      /* Local variables */
      integer j, mn;
      doublereal eps;
      integer info;
      doublereal temp;
      extern doublereal dasum_(integer *, doublereal *, integer *);
      extern /* Subroutine */ int zlarf_(char *, integer *, integer *, 
  	    doublecomplex *, integer *, doublecomplex *, doublecomplex *, 
  	    integer *, doublecomplex *), zgemm_(char *, char *, 
  	    integer *, integer *, integer *, doublecomplex *, doublecomplex *, 
  	     integer *, doublecomplex *, integer *, doublecomplex *, 
  	    doublecomplex *, integer *);
      doublereal dummy[1];
      extern /* Subroutine */ int dlabad_(doublereal *, doublereal *);
      extern doublereal dznrm2_(integer *, doublecomplex *, integer *), dlamch_(
  	    char *);
      extern /* Subroutine */ int dlascl_(char *, integer *, integer *, 
  	    doublereal *, doublereal *, integer *, integer *, doublereal *, 
  	    integer *, integer *);
      extern doublereal dlarnd_(integer *, integer *);
      extern /* Subroutine */ int dlaord_(char *, integer *, doublereal *, 
  	    integer *), xerbla_(char *, integer *);
      extern doublereal zlange_(char *, integer *, integer *, doublecomplex *, 
  	    integer *, doublereal *);
      doublereal bignum;
      extern /* Subroutine */ int zdscal_(integer *, doublereal *, 
  	    doublecomplex *, integer *), zlascl_(char *, integer *, integer *, 
  	     doublereal *, doublereal *, integer *, integer *, doublecomplex *
  , integer *, integer *), zlaset_(char *, integer *, 
  	    integer *, doublecomplex *, doublecomplex *, doublecomplex *, 
  	    integer *), zlaror_(char *, char *, integer *, integer *, 
  	    doublecomplex *, integer *, integer *, doublecomplex *, integer *);
      doublereal smlnum;
      extern /* Subroutine */ int zlarnv_(integer *, integer *, 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 */
  /*  ======= */
  
  /*  ZQRT15 generates a matrix with full or deficient rank and of various */
  /*  norms. */
  
  /*  Arguments */
  /*  ========= */
  
  /*  SCALE   (input) INTEGER */
  /*          SCALE = 1: normally scaled matrix */
  /*          SCALE = 2: matrix scaled up */
  /*          SCALE = 3: matrix scaled down */
  
  /*  RKSEL   (input) INTEGER */
  /*          RKSEL = 1: full rank matrix */
  /*          RKSEL = 2: rank-deficient matrix */
  
  /*  M       (input) INTEGER */
  /*          The number of rows of the matrix A. */
  
  /*  N       (input) INTEGER */
  /*          The number of columns of A. */
  
  /*  NRHS    (input) INTEGER */
  /*          The number of columns of B. */
  
  /*  A       (output) COMPLEX*16 array, dimension (LDA,N) */
  /*          The M-by-N matrix A. */
  
  /*  LDA     (input) INTEGER */
  /*          The leading dimension of the array A. */
  
  /*  B       (output) COMPLEX*16 array, dimension (LDB, NRHS) */
  /*          A matrix that is in the range space of matrix A. */
  
  /*  LDB     (input) INTEGER */
  /*          The leading dimension of the array B. */
  
  /*  S       (output) DOUBLE PRECISION array, dimension MIN(M,N) */
  /*          Singular values of A. */
  
  /*  RANK    (output) INTEGER */
  /*          number of nonzero singular values of A. */
  
  /*  NORMA   (output) DOUBLE PRECISION */
  /*          one-norm norm of A. */
  
  /*  NORMB   (output) DOUBLE PRECISION */
  /*          one-norm norm of B. */
  
  /*  ISEED   (input/output) integer array, dimension (4) */
  /*          seed for random number generator. */
  
  /*  WORK    (workspace) COMPLEX*16 array, dimension (LWORK) */
  
  /*  LWORK   (input) INTEGER */
  /*          length of work space required. */
  /*          LWORK >= MAX(M+MIN(M,N),NRHS*MIN(M,N),2*N+M) */
  
  /*  ===================================================================== */
  
  /*     .. Parameters .. */
  /*     .. */
  /*     .. Local Scalars .. */
  /*     .. */
  /*     .. Local Arrays .. */
  /*     .. */
  /*     .. External Functions .. */
  /*     .. */
  /*     .. External Subroutines .. */
  /*     .. */
  /*     .. Intrinsic Functions .. */
  /*     .. */
  /*     .. Executable Statements .. */
  
      /* Parameter adjustments */
      a_dim1 = *lda;
      a_offset = 1 + a_dim1;
      a -= a_offset;
      b_dim1 = *ldb;
      b_offset = 1 + b_dim1;
      b -= b_offset;
      --s;
      --iseed;
      --work;
  
      /* Function Body */
      mn = min(*m,*n);
  /* Computing MAX */
      i__1 = *m + mn, i__2 = mn * *nrhs, i__1 = max(i__1,i__2), i__2 = (*n << 1)
  	     + *m;
      if (*lwork < max(i__1,i__2)) {
  	xerbla_("ZQRT15", &c__16);
  	return 0;
      }
  
      smlnum = dlamch_("Safe minimum");
      bignum = 1. / smlnum;
      dlabad_(&smlnum, &bignum);
      eps = dlamch_("Epsilon");
      smlnum = smlnum / eps / eps;
      bignum = 1. / smlnum;
  
  /*     Determine rank and (unscaled) singular values */
  
      if (*rksel == 1) {
  	*rank = mn;
      } else if (*rksel == 2) {
  	*rank = mn * 3 / 4;
  	i__1 = mn;
  	for (j = *rank + 1; j <= i__1; ++j) {
  	    s[j] = 0.;
  /* L10: */
  	}
      } else {
  	xerbla_("ZQRT15", &c__2);
      }
  
      if (*rank > 0) {
  
  /*        Nontrivial case */
  
  	s[1] = 1.;
  	i__1 = *rank;
  	for (j = 2; j <= i__1; ++j) {
  L20:
  	    temp = dlarnd_(&c__1, &iseed[1]);
  	    if (temp > .1) {
  		s[j] = abs(temp);
  	    } else {
  		goto L20;
  	    }
  /* L30: */
  	}
  	dlaord_("Decreasing", rank, &s[1], &c__1);
  
  /*        Generate 'rank' columns of a random orthogonal matrix in A */
  
  	zlarnv_(&c__2, &iseed[1], m, &work[1]);
  	d__1 = 1. / dznrm2_(m, &work[1], &c__1);
  	zdscal_(m, &d__1, &work[1], &c__1);
  	zlaset_("Full", m, rank, &c_b1, &c_b2, &a[a_offset], lda);
  	zlarf_("Left", m, rank, &work[1], &c__1, &c_b22, &a[a_offset], lda, &
  		work[*m + 1]);
  
  /*        workspace used: m+mn */
  
  /*        Generate consistent rhs in the range space of A */
  
  	i__1 = *rank * *nrhs;
  	zlarnv_(&c__2, &iseed[1], &i__1, &work[1]);
  	zgemm_("No transpose", "No transpose", m, nrhs, rank, &c_b2, &a[
  		a_offset], lda, &work[1], rank, &c_b1, &b[b_offset], ldb);
  
  /*        work space used: <= mn *nrhs */
  
  /*        generate (unscaled) matrix A */
  
  	i__1 = *rank;
  	for (j = 1; j <= i__1; ++j) {
  	    zdscal_(m, &s[j], &a[j * a_dim1 + 1], &c__1);
  /* L40: */
  	}
  	if (*rank < *n) {
  	    i__1 = *n - *rank;
  	    zlaset_("Full", m, &i__1, &c_b1, &c_b1, &a[(*rank + 1) * a_dim1 + 
  		    1], lda);
  	}
  	zlaror_("Right", "No initialization", m, n, &a[a_offset], lda, &iseed[
  		1], &work[1], &info);
  
      } else {
  
  /*        work space used 2*n+m */
  
  /*        Generate null matrix and rhs */
  
  	i__1 = mn;
  	for (j = 1; j <= i__1; ++j) {
  	    s[j] = 0.;
  /* L50: */
  	}
  	zlaset_("Full", m, n, &c_b1, &c_b1, &a[a_offset], lda);
  	zlaset_("Full", m, nrhs, &c_b1, &c_b1, &b[b_offset], ldb);
  
      }
  
  /*     Scale the matrix */
  
      if (*scale != 1) {
  	*norma = zlange_("Max", m, n, &a[a_offset], lda, dummy);
  	if (*norma != 0.) {
  	    if (*scale == 2) {
  
  /*              matrix scaled up */
  
  		zlascl_("General", &c__0, &c__0, norma, &bignum, m, n, &a[
  			a_offset], lda, &info);
  		dlascl_("General", &c__0, &c__0, norma, &bignum, &mn, &c__1, &
  			s[1], &mn, &info);
  		zlascl_("General", &c__0, &c__0, norma, &bignum, m, nrhs, &b[
  			b_offset], ldb, &info);
  	    } else if (*scale == 3) {
  
  /*              matrix scaled down */
  
  		zlascl_("General", &c__0, &c__0, norma, &smlnum, m, n, &a[
  			a_offset], lda, &info);
  		dlascl_("General", &c__0, &c__0, norma, &smlnum, &mn, &c__1, &
  			s[1], &mn, &info);
  		zlascl_("General", &c__0, &c__0, norma, &smlnum, m, nrhs, &b[
  			b_offset], ldb, &info);
  	    } else {
  		xerbla_("ZQRT15", &c__1);
  		return 0;
  	    }
  	}
      }
  
      *norma = dasum_(&mn, &s[1], &c__1);
      *normb = zlange_("One-norm", m, nrhs, &b[b_offset], ldb, dummy)
  	    ;
  
      return 0;
  
  /*     End of ZQRT15 */
  
  } /* zqrt15_ */
  