#include "blaswrap.h" /* schkq3.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" /* 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_b11 = 0.f; static real c_b16 = 1.f; static integer c__1 = 1; static integer c__3 = 3; /* Subroutine */ int schkq3_(logical *dotype, integer *nm, integer *mval, integer *nn, integer *nval, integer *nnb, integer *nbval, integer * nxval, real *thresh, real *a, real *copya, real *s, real *copys, real *tau, real *work, integer *iwork, integer *nout) { /* Initialized data */ static integer iseedy[4] = { 1988,1989,1990,1991 }; /* Format strings */ static char fmt_9999[] = "(1x,a6,\002 M =\002,i5,\002, N =\002,i5,\002, " "NB =\002,i4,\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, i__5; 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 */ static integer i__, k, m, n, nb, im, in, lw, nx, lda, inb; static real eps; static integer mode, info; static char path[3]; static integer ilow, nrun; extern /* Subroutine */ int alahd_(integer *, char *); static integer ihigh, nfail, iseed[4], imode, mnmin; extern /* Subroutine */ int icopy_(integer *, integer *, integer *, integer *, integer *); static integer istep, nerrs; extern doublereal sqpt01_(integer *, integer *, integer *, real *, real *, integer *, real *, integer *, real *, integer *), sqrt11_( integer *, integer *, real *, integer *, real *, real *, integer * ); static integer lwork; extern doublereal sqrt12_(integer *, integer *, real *, integer *, real *, real *, integer *); extern /* Subroutine */ int sgeqp3_(integer *, integer *, real *, integer *, integer *, real *, real *, integer *, 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 *), xlaenv_(integer *, integer *), slatms_(integer *, integer *, char *, integer *, char *, real *, integer *, real *, real *, integer *, integer *, char * , real *, integer *, real *, integer *); static real result[3]; /* Fortran I/O blocks */ static cilist io___28 = { 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 Purpose ======= SCHKQ3 tests SGEQP3. 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. NNB (input) INTEGER The number of values of NB and NX contained in the vectors NBVAL and NXVAL. The blocking parameters are used in pairs (NB,NX). NBVAL (input) INTEGER array, dimension (NNB) The values of the blocksize NB. NXVAL (input) INTEGER array, dimension (NNB) The values of the crossover point NX. 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. 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) IWORK (workspace) INTEGER array, dimension (2*NMAX) NOUT (input) INTEGER The unit number for output. ===================================================================== Parameter adjustments */ --iwork; --work; --tau; --copys; --s; --copya; --a; --nxval; --nbval; --nval; --mval; --dotype; /* Function Body Initialize constants and the random number seed. */ s_copy(path, "Single precision", (ftnlen)1, (ftnlen)16); s_copy(path + 1, "Q3", (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"); 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. */ n = nval[in]; mnmin = min(m,n); /* Computing MAX */ i__3 = 1, i__4 = m * max(m,n) + (mnmin << 2) + max(m,n), i__3 = max(i__3,i__4), i__4 = m * n + (mnmin << 1) + (n << 2); lwork = max(i__3,i__4); for (imode = 1; imode <= 6; ++imode) { if (! dotype[imode]) { goto L70; } /* Do for each type of matrix 1: zero matrix 2: one small singular value 3: geometric distribution of singular values 4: first n/2 columns fixed 5: last n/2 columns fixed 6: every second column fixed */ mode = imode; if (imode > 3) { mode = 1; } /* Generate test matrix of size m by n using singular value distribution indicated by `mode'. */ i__3 = n; for (i__ = 1; i__ <= i__3; ++i__) { iwork[i__] = 0; /* L20: */ } if (imode == 1) { slaset_("Full", &m, &n, &c_b11, &c_b11, ©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, "Nonsymm", ©s[1], & mode, &r__1, &c_b16, &m, &n, "No packing", ©a[ 1], &lda, &work[1], &info); if (imode >= 4) { if (imode == 4) { ilow = 1; istep = 1; /* Computing MAX */ i__3 = 1, i__4 = n / 2; ihigh = max(i__3,i__4); } else if (imode == 5) { /* Computing MAX */ i__3 = 1, i__4 = n / 2; ilow = max(i__3,i__4); istep = 1; ihigh = n; } else if (imode == 6) { ilow = 1; istep = 2; ihigh = n; } i__3 = ihigh; i__4 = istep; for (i__ = ilow; i__4 < 0 ? i__ >= i__3 : i__ <= i__3; i__ += i__4) { iwork[i__] = 1; /* L40: */ } } slaord_("Decreasing", &mnmin, ©s[1], &c__1); } i__4 = *nnb; for (inb = 1; inb <= i__4; ++inb) { /* Do for each pair of values (NB,NX) in NBVAL and NXVAL. */ nb = nbval[inb]; xlaenv_(&c__1, &nb); nx = nxval[inb]; xlaenv_(&c__3, &nx); /* Get a working copy of COPYA into A and a copy of vector IWORK. */ slacpy_("All", &m, &n, ©a[1], &lda, &a[1], &lda); icopy_(&n, &iwork[1], &c__1, &iwork[n + 1], &c__1); /* Compute the QR factorization with pivoting of A Computing MAX */ i__3 = 1, i__5 = (n << 1) + nb * (n + 1); lw = max(i__3,i__5); /* Compute the QP3 factorization of A */ s_copy(srnamc_1.srnamt, "SGEQP3", (ftnlen)6, (ftnlen)6); sgeqp3_(&m, &n, &a[1], &lda, &iwork[n + 1], &tau[1], & work[1], &lw, &info); /* Compute norm(svd(a) - svd(r)) */ result[0] = sqrt12_(&m, &n, &a[1], &lda, ©s[1], &work[ 1], &lwork); /* Compute norm( A*P - Q*R ) */ result[1] = sqpt01_(&m, &n, &mnmin, ©a[1], &a[1], & lda, &tau[1], &iwork[n + 1], &work[1], &lwork); /* Compute Q'*Q */ result[2] = sqrt11_(&m, &mnmin, &a[1], &lda, &tau[1], & work[1], &lwork); /* Print information about the tests that did not pass the threshold. */ for (k = 1; k <= 3; ++k) { if (result[k - 1] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___28.ciunit = *nout; s_wsfe(&io___28); do_fio(&c__1, "SGEQP3", (ftnlen)6); do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&nb, (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; } /* L50: */ } nrun += 3; /* L60: */ } L70: ; } /* L80: */ } /* L90: */ } /* Print a summary of the results. */ alasum_(path, nout, &nfail, &nrun, &nerrs); /* End of SCHKQ3 */ return 0; } /* schkq3_ */