#include "f2c.h" #include "blaswrap.h" /* Common Block Declarations */ struct { integer infot, iounit; logical ok, lerr; } infoc_; #define infoc_1 infoc_ struct { char srnamt[6]; } srnamc_; #define srnamc_1 srnamc_ /* Table of constant values */ static real c_b10 = 0.f; static real c_b15 = 1.f; static integer c__1 = 1; /* Subroutine */ int schktz_(logical *dotype, integer *nm, integer *mval, integer *nn, integer *nval, real *thresh, logical *tsterr, real *a, real *copya, real *s, real *copys, real *tau, real *work, integer * nout) { /* Initialized data */ static integer iseedy[4] = { 1988,1989,1990,1991 }; /* Format strings */ static char fmt_9999[] = "(\002 M =\002,i5,\002, N =\002,i5,\002, type" " \002,i2,\002, test \002,i2,\002, ratio =\002,g12.5)"; /* System generated locals */ integer i__1, i__2, i__3, i__4; real r__1; /* Builtin functions */ /* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void); /* Local variables */ integer i__, k, m, n, im, in, lda; real eps; integer mode, info; char path[3]; integer nrun; extern /* Subroutine */ int alahd_(integer *, char *); integer nfail, iseed[4], imode, mnmin, nerrs; extern doublereal sqrt12_(integer *, integer *, real *, integer *, real *, real *, integer *); integer lwork; extern doublereal srzt01_(integer *, integer *, real *, real *, integer *, real *, real *, integer *), srzt02_(integer *, integer *, real *, integer *, real *, real *, integer *), stzt01_(integer *, integer *, real *, real *, integer *, real *, real *, integer *), stzt02_(integer *, integer *, real *, integer *, real *, real *, integer *); extern /* Subroutine */ int sgeqr2_(integer *, integer *, real *, integer *, real *, real *, integer *); extern doublereal slamch_(char *); extern /* Subroutine */ int alasum_(char *, integer *, integer *, integer *, integer *), slaord_(char *, integer *, real *, integer *), slacpy_(char *, integer *, integer *, real *, integer *, real *, integer *), slaset_(char *, integer *, integer *, real *, real *, real *, integer *), slatms_(integer *, integer *, char *, integer *, char *, real *, integer *, real *, real *, integer *, integer *, char *, real *, integer *, real *, integer *); real result[6]; extern /* Subroutine */ int serrtz_(char *, integer *), stzrqf_( integer *, integer *, real *, integer *, real *, integer *), stzrzf_(integer *, integer *, real *, integer *, real *, real *, integer *, integer *); /* Fortran I/O blocks */ static cilist io___21 = { 0, 0, 0, fmt_9999, 0 }; /* -- LAPACK test routine (version 3.1.1) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* January 2007 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* SCHKTZ tests STZRQF and STZRZF. */ /* Arguments */ /* ========= */ /* DOTYPE (input) LOGICAL array, dimension (NTYPES) */ /* The matrix types to be used for testing. Matrices of type j */ /* (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = */ /* .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. */ /* NM (input) INTEGER */ /* The number of values of M contained in the vector MVAL. */ /* MVAL (input) INTEGER array, dimension (NM) */ /* The values of the matrix row dimension M. */ /* NN (input) INTEGER */ /* The number of values of N contained in the vector NVAL. */ /* NVAL (input) INTEGER array, dimension (NN) */ /* The values of the matrix column dimension N. */ /* THRESH (input) REAL */ /* The threshold value for the test ratios. A result is */ /* included in the output file if RESULT >= THRESH. To have */ /* every test ratio printed, use THRESH = 0. */ /* TSTERR (input) LOGICAL */ /* Flag that indicates whether error exits are to be tested. */ /* A (workspace) REAL array, dimension (MMAX*NMAX) */ /* where MMAX is the maximum value of M in MVAL and NMAX is the */ /* maximum value of N in NVAL. */ /* COPYA (workspace) REAL array, dimension (MMAX*NMAX) */ /* S (workspace) REAL array, dimension */ /* (min(MMAX,NMAX)) */ /* COPYS (workspace) REAL array, dimension */ /* (min(MMAX,NMAX)) */ /* TAU (workspace) REAL array, dimension (MMAX) */ /* WORK (workspace) REAL array, dimension */ /* (MMAX*NMAX + 4*NMAX + MMAX) */ /* NOUT (input) INTEGER */ /* The unit number for output. */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. Local Arrays .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Scalars in Common .. */ /* .. */ /* .. Common blocks .. */ /* .. */ /* .. Data statements .. */ /* Parameter adjustments */ --work; --tau; --copys; --s; --copya; --a; --nval; --mval; --dotype; /* Function Body */ /* .. */ /* .. Executable Statements .. */ /* Initialize constants and the random number seed. */ s_copy(path, "Single precision", (ftnlen)1, (ftnlen)16); s_copy(path + 1, "TZ", (ftnlen)2, (ftnlen)2); nrun = 0; nfail = 0; nerrs = 0; for (i__ = 1; i__ <= 4; ++i__) { iseed[i__ - 1] = iseedy[i__ - 1]; /* L10: */ } eps = slamch_("Epsilon"); /* Test the error exits */ if (*tsterr) { serrtz_(path, nout); } infoc_1.infot = 0; i__1 = *nm; for (im = 1; im <= i__1; ++im) { /* Do for each value of M in MVAL. */ m = mval[im]; lda = max(1,m); i__2 = *nn; for (in = 1; in <= i__2; ++in) { /* Do for each value of N in NVAL for which M .LE. N. */ n = nval[in]; mnmin = min(m,n); /* Computing MAX */ i__3 = 1, i__4 = n * n + (m << 2) + n, i__3 = max(i__3,i__4), i__4 = m * n + (mnmin << 1) + (n << 2); lwork = max(i__3,i__4); if (m <= n) { for (imode = 1; imode <= 3; ++imode) { if (! dotype[imode]) { goto L50; } /* Do for each type of singular value distribution. */ /* 0: zero matrix */ /* 1: one small singular value */ /* 2: exponential distribution */ mode = imode - 1; /* Test STZRQF */ /* Generate test matrix of size m by n using */ /* singular value distribution indicated by `mode'. */ if (mode == 0) { slaset_("Full", &m, &n, &c_b10, &c_b10, &a[1], &lda); i__3 = mnmin; for (i__ = 1; i__ <= i__3; ++i__) { copys[i__] = 0.f; /* L20: */ } } else { r__1 = 1.f / eps; slatms_(&m, &n, "Uniform", iseed, "Nonsymmetric", & copys[1], &imode, &r__1, &c_b15, &m, &n, "No packing", &a[1], &lda, &work[1], &info); sgeqr2_(&m, &n, &a[1], &lda, &work[1], &work[mnmin + 1], &info); i__3 = m - 1; slaset_("Lower", &i__3, &n, &c_b10, &c_b10, &a[2], & lda); slaord_("Decreasing", &mnmin, ©s[1], &c__1); } /* Save A and its singular values */ slacpy_("All", &m, &n, &a[1], &lda, ©a[1], &lda); /* Call STZRQF to reduce the upper trapezoidal matrix to */ /* upper triangular form. */ s_copy(srnamc_1.srnamt, "STZRQF", (ftnlen)6, (ftnlen)6); stzrqf_(&m, &n, &a[1], &lda, &tau[1], &info); /* Compute norm(svd(a) - svd(r)) */ result[0] = sqrt12_(&m, &m, &a[1], &lda, ©s[1], &work[ 1], &lwork); /* Compute norm( A - R*Q ) */ result[1] = stzt01_(&m, &n, ©a[1], &a[1], &lda, &tau[ 1], &work[1], &lwork); /* Compute norm(Q'*Q - I). */ result[2] = stzt02_(&m, &n, &a[1], &lda, &tau[1], &work[1] , &lwork); /* Test STZRZF */ /* Generate test matrix of size m by n using */ /* singular value distribution indicated by `mode'. */ if (mode == 0) { slaset_("Full", &m, &n, &c_b10, &c_b10, &a[1], &lda); i__3 = mnmin; for (i__ = 1; i__ <= i__3; ++i__) { copys[i__] = 0.f; /* L30: */ } } else { r__1 = 1.f / eps; slatms_(&m, &n, "Uniform", iseed, "Nonsymmetric", & copys[1], &imode, &r__1, &c_b15, &m, &n, "No packing", &a[1], &lda, &work[1], &info); sgeqr2_(&m, &n, &a[1], &lda, &work[1], &work[mnmin + 1], &info); i__3 = m - 1; slaset_("Lower", &i__3, &n, &c_b10, &c_b10, &a[2], & lda); slaord_("Decreasing", &mnmin, ©s[1], &c__1); } /* Save A and its singular values */ slacpy_("All", &m, &n, &a[1], &lda, ©a[1], &lda); /* Call STZRZF to reduce the upper trapezoidal matrix to */ /* upper triangular form. */ s_copy(srnamc_1.srnamt, "STZRZF", (ftnlen)6, (ftnlen)6); stzrzf_(&m, &n, &a[1], &lda, &tau[1], &work[1], &lwork, & info); /* Compute norm(svd(a) - svd(r)) */ result[3] = sqrt12_(&m, &m, &a[1], &lda, ©s[1], &work[ 1], &lwork); /* Compute norm( A - R*Q ) */ result[4] = srzt01_(&m, &n, ©a[1], &a[1], &lda, &tau[ 1], &work[1], &lwork); /* Compute norm(Q'*Q - I). */ result[5] = srzt02_(&m, &n, &a[1], &lda, &tau[1], &work[1] , &lwork); /* Print information about the tests that did not pass */ /* the threshold. */ for (k = 1; k <= 6; ++k) { if (result[k - 1] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___21.ciunit = *nout; s_wsfe(&io___21); do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&imode, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&k, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&result[k - 1], (ftnlen) sizeof(real)); e_wsfe(); ++nfail; } /* L40: */ } nrun += 6; L50: ; } } /* L60: */ } /* L70: */ } /* Print a summary of the results. */ alasum_(path, nout, &nfail, &nrun, &nerrs); /* End if SCHKTZ */ return 0; } /* schktz_ */