#include "blaswrap.h" /* -- translated by f2c (version 19990503). You must link the resulting object file with the libraries: -lf2c -lm (in that order) */ #include "f2c.h" /* Table of constant values */ static integer c__3 = 3; static integer c__2 = 2; static integer c__1 = 1; static integer c__4 = 4; static doublereal c_b27 = 100.; static doublereal c_b28 = 1.; static integer c_n1 = -1; static integer c__0 = 0; /* Subroutine */ int ztimtd_(char *line, integer *nm, integer *mval, integer * nn, integer *nval, integer *nnb, integer *nbval, integer *nxval, integer *nlda, integer *ldaval, doublereal *timmin, doublecomplex *a, doublecomplex *b, doublereal *d__, doublecomplex *tau, doublecomplex * work, doublereal *reslts, integer *ldr1, integer *ldr2, integer *ldr3, integer *nout, ftnlen line_len) { /* Initialized data */ static char subnam[6*3] = "ZHETRD" "ZUNGTR" "ZUNMTR"; static char sides[1*2] = "L" "R"; static char transs[1*2] = "N" "C"; static char uplos[1*2] = "U" "L"; static integer iseed[4] = { 0,0,0,1 }; /* Format strings */ static char fmt_9999[] = "(1x,a6,\002 timing run not attempted\002,/)"; static char fmt_9998[] = "(/\002 *** Speed of \002,a6,\002 in megaflops " "*** \002)"; static char fmt_9997[] = "(5x,\002line \002,i2,\002 with LDA = \002,i5)"; static char fmt_9996[] = "(/5x,a6,\002 with UPLO = '\002,a1,\002'\002,/)"; static char fmt_9995[] = "(/5x,a6,\002 with SIDE = '\002,a1,\002', UPLO " "= '\002,a1,\002', TRANS = '\002,a1,\002', \002,a1,\002 =\002,i6," "/)"; /* System generated locals */ integer reslts_dim1, reslts_dim2, reslts_dim3, reslts_offset, i__1, i__2, i__3, i__4, i__5, i__6; /* 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 ilda; static char side[1]; static integer info; static char path[3]; static doublereal time; static integer isub; static char uplo[1]; static integer i__, m, n; static char cname[6]; static integer iside; extern doublereal dopla_(char *, integer *, integer *, integer *, integer *, integer *); static integer itoff, itran; extern /* Subroutine */ int icopy_(integer *, integer *, integer *, integer *, integer *); static char trans[1]; static integer iuplo, i3, i4, m1, n1; static doublereal s1, s2; extern /* Subroutine */ int dprtb3_(char *, char *, integer *, integer *, integer *, integer *, integer *, integer *, doublereal *, integer *, integer *, integer *, ftnlen, ftnlen); static integer ic, nb, im, in; extern doublereal dsecnd_(void); static integer lw, nx, reseed[4]; extern /* Subroutine */ int atimck_(integer *, char *, integer *, integer *, integer *, integer *, integer *, integer *, ftnlen); extern doublereal dmflop_(doublereal *, doublereal *, integer *); extern /* Subroutine */ int atimin_(char *, char *, integer *, char *, logical *, integer *, integer *, ftnlen, ftnlen, ftnlen), dprtbl_( char *, char *, integer *, integer *, integer *, integer *, integer *, doublereal *, integer *, integer *, integer *, ftnlen, ftnlen), xlaenv_(integer *, integer *), zhetrd_(char *, integer *, doublecomplex *, integer *, doublereal *, doublereal *, doublecomplex *, doublecomplex *, integer *, integer *); static doublereal untime; extern /* Subroutine */ int zlacpy_(char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *); static logical timsub[3]; extern /* Subroutine */ int ztimmg_(integer *, integer *, integer *, doublecomplex *, integer *, integer *, integer *), zlatms_( integer *, integer *, char *, integer *, char *, doublereal *, integer *, doublereal *, doublereal *, integer *, integer *, char *, doublecomplex *, integer *, doublecomplex *, integer *), zungtr_(char *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *, integer *), zunmtr_(char *, char *, char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, integer *, integer *); static integer lda, icl, inb; static doublereal ops; static char lab1[1], lab2[1]; /* Fortran I/O blocks */ static cilist io___10 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___11 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___42 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___44 = { 0, 0, 0, fmt_9997, 0 }; static cilist io___45 = { 0, 0, 0, fmt_9996, 0 }; static cilist io___48 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___49 = { 0, 0, 0, fmt_9997, 0 }; static cilist io___50 = { 0, 0, 0, fmt_9995, 0 }; #define subnam_ref(a_0,a_1) &subnam[(a_1)*6 + a_0 - 6] #define reslts_ref(a_1,a_2,a_3,a_4) reslts[(((a_4)*reslts_dim3 + (a_3))*\ reslts_dim2 + (a_2))*reslts_dim1 + a_1] /* -- LAPACK timing routine (version 3.0) -- Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., Courant Institute, Argonne National Lab, and Rice University March 31, 1993 Purpose ======= ZTIMTD times the LAPACK routines ZHETRD, ZUNGTR, and CUNMTR. Arguments ========= LINE (input) CHARACTER*80 The input line that requested this routine. The first six characters contain either the name of a subroutine or a generic path name. The remaining characters may be used to specify the individual routines to be timed. See ATIMIN for a full description of the format of the input line. 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 size 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. NLDA (input) INTEGER The number of values of LDA contained in the vector LDAVAL. LDAVAL (input) INTEGER array, dimension (NLDA) The values of the leading dimension of the array A. TIMMIN (input) DOUBLE PRECISION The minimum time a subroutine will be timed. A (workspace) COMPLEX*16 array, dimension (LDAMAX*NMAX) where LDAMAX and NMAX are the maximum values of LDA and N. B (workspace) COMPLEX*16 array, dimension (LDAMAX*NMAX) D (workspace) DOUBLE PRECISION array, dimension (2*NMAX-1) TAU (workspace) COMPLEX*16 array, dimension (NMAX) WORK (workspace) COMPLEX*16 array, dimension (NMAX*NBMAX) where NBMAX is the maximum value of NB. RESLTS (workspace) DOUBLE PRECISION array, dimension (LDR1,LDR2,LDR3,4*NN+3) The timing results for each subroutine over the relevant values of M, (NB,NX), LDA, and N. LDR1 (input) INTEGER The first dimension of RESLTS. LDR1 >= max(1,NNB). LDR2 (input) INTEGER The second dimension of RESLTS. LDR2 >= max(1,NM). LDR3 (input) INTEGER The third dimension of RESLTS. LDR3 >= max(1,2*NLDA). NOUT (input) INTEGER The unit number for output. Internal Parameters =================== MODE INTEGER The matrix type. MODE = 3 is a geometric distribution of eigenvalues. See ZLATMS for further details. COND DOUBLE PRECISION The condition number of the matrix. The singular values are set to values from DMAX to DMAX/COND. DMAX DOUBLE PRECISION The magnitude of the largest singular value. ===================================================================== Parameter adjustments */ --mval; --nval; --nbval; --nxval; --ldaval; --a; --b; --d__; --tau; --work; reslts_dim1 = *ldr1; reslts_dim2 = *ldr2; reslts_dim3 = *ldr3; reslts_offset = 1 + reslts_dim1 * (1 + reslts_dim2 * (1 + reslts_dim3 * 1) ); reslts -= reslts_offset; /* Function Body Extract the timing request from the input line. */ s_copy(path, "Zomplex precision", (ftnlen)1, (ftnlen)17); s_copy(path + 1, "TD", (ftnlen)2, (ftnlen)2); atimin_(path, line, &c__3, subnam, timsub, nout, &info, (ftnlen)3, ( ftnlen)80, (ftnlen)6); if (info != 0) { goto L220; } /* Check that M <= LDA for the input values. */ s_copy(cname, line, (ftnlen)6, (ftnlen)6); atimck_(&c__2, cname, nm, &mval[1], nlda, &ldaval[1], nout, &info, ( ftnlen)6); if (info > 0) { io___10.ciunit = *nout; s_wsfe(&io___10); do_fio(&c__1, cname, (ftnlen)6); e_wsfe(); goto L220; } /* Check that K <= LDA for ZUNMTR */ if (timsub[2]) { atimck_(&c__3, cname, nn, &nval[1], nlda, &ldaval[1], nout, &info, ( ftnlen)6); if (info > 0) { io___11.ciunit = *nout; s_wsfe(&io___11); do_fio(&c__1, subnam_ref(0, 3), (ftnlen)6); e_wsfe(); timsub[2] = FALSE_; } } /* Do first for UPLO = 'U', then for UPLO = 'L' */ for (iuplo = 1; iuplo <= 2; ++iuplo) { *(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1]; /* Do for each value of M: */ i__1 = *nm; for (im = 1; im <= i__1; ++im) { m = mval[im]; icopy_(&c__4, iseed, &c__1, reseed, &c__1); /* Do for each value of LDA: */ i__2 = *nlda; for (ilda = 1; ilda <= i__2; ++ilda) { lda = ldaval[ilda]; i3 = (iuplo - 1) * *nlda + ilda; /* Do for each pair of values (NB, NX) in NBVAL and NXVAL. */ i__3 = *nnb; for (inb = 1; inb <= i__3; ++inb) { nb = nbval[inb]; xlaenv_(&c__1, &nb); nx = nxval[inb]; xlaenv_(&c__3, &nx); /* Computing MAX */ i__4 = 1, i__5 = m * max(1,nb); lw = max(i__4,i__5); /* Generate a test matrix of order M. */ icopy_(&c__4, reseed, &c__1, iseed, &c__1); zlatms_(&m, &m, "Uniform", iseed, "Symmetric", &d__[1], & c__3, &c_b27, &c_b28, &m, &m, "No packing", &b[1], &lda, &work[1], &info); if (timsub[0]) { /* ZHETRD: Reduction to tridiagonal form */ zlacpy_(uplo, &m, &m, &b[1], &lda, &a[1], &lda); ic = 0; s1 = dsecnd_(); L10: zhetrd_(uplo, &m, &a[1], &lda, &d__[1], &d__[m + 1], & tau[1], &work[1], &lw, &info); s2 = dsecnd_(); time = s2 - s1; ++ic; if (time < *timmin) { zlacpy_(uplo, &m, &m, &b[1], &lda, &a[1], &lda); goto L10; } /* Subtract the time used in ZLACPY. */ icl = 1; s1 = dsecnd_(); L20: s2 = dsecnd_(); untime = s2 - s1; ++icl; if (icl <= ic) { zlacpy_(uplo, &m, &m, &a[1], &lda, &b[1], &lda); goto L20; } time = (time - untime) / (doublereal) ic; ops = dopla_("ZHETRD", &m, &m, &c_n1, &c_n1, &nb); reslts_ref(inb, im, i3, 1) = dmflop_(&ops, &time, & info); } else { /* If ZHETRD was not timed, generate a matrix and factor it using ZHETRD anyway so that the factored form of the matrix can be used in timing the other routines. */ zlacpy_(uplo, &m, &m, &b[1], &lda, &a[1], &lda); zhetrd_(uplo, &m, &a[1], &lda, &d__[1], &d__[m + 1], & tau[1], &work[1], &lw, &info); } if (timsub[1]) { /* ZUNGTR: Generate the orthogonal matrix Q from the reduction to Hessenberg form A = Q*H*Q' */ zlacpy_(uplo, &m, &m, &a[1], &lda, &b[1], &lda); ic = 0; s1 = dsecnd_(); L30: zungtr_(uplo, &m, &b[1], &lda, &tau[1], &work[1], &lw, &info); s2 = dsecnd_(); time = s2 - s1; ++ic; if (time < *timmin) { zlacpy_(uplo, &m, &m, &a[1], &lda, &b[1], &lda); goto L30; } /* Subtract the time used in ZLACPY. */ icl = 1; s1 = dsecnd_(); L40: s2 = dsecnd_(); untime = s2 - s1; ++icl; if (icl <= ic) { zlacpy_(uplo, &m, &m, &a[1], &lda, &b[1], &lda); goto L40; } time = (time - untime) / (doublereal) ic; /* Op count for ZUNGTR: same as ZUNGQR( N-1, N-1, N-1, ... ) */ i__4 = m - 1; i__5 = m - 1; i__6 = m - 1; ops = dopla_("ZUNGQR", &i__4, &i__5, &i__6, &c_n1, & nb); reslts_ref(inb, im, i3, 2) = dmflop_(&ops, &time, & info); } if (timsub[2]) { /* ZUNMTR: Multiply by Q stored as a product of elementary transformations */ i4 = 2; for (iside = 1; iside <= 2; ++iside) { *(unsigned char *)side = *(unsigned char *)&sides[ iside - 1]; i__4 = *nn; for (in = 1; in <= i__4; ++in) { n = nval[in]; /* Computing MAX */ i__5 = 1, i__6 = max(1,nb) * n; lw = max(i__5,i__6); if (iside == 1) { m1 = m; n1 = n; } else { m1 = n; n1 = m; } itoff = 0; for (itran = 1; itran <= 2; ++itran) { *(unsigned char *)trans = *(unsigned char *)&transs[itran - 1]; ztimmg_(&c__0, &m1, &n1, &b[1], &lda, & c__0, &c__0); ic = 0; s1 = dsecnd_(); L50: zunmtr_(side, uplo, trans, &m1, &n1, &a[1] , &lda, &tau[1], &b[1], &lda, & work[1], &lw, &info); s2 = dsecnd_(); time = s2 - s1; ++ic; if (time < *timmin) { ztimmg_(&c__0, &m1, &n1, &b[1], &lda, &c__0, &c__0); goto L50; } /* Subtract the time used in ZTIMMG. */ icl = 1; s1 = dsecnd_(); L60: s2 = dsecnd_(); untime = s2 - s1; ++icl; if (icl <= ic) { ztimmg_(&c__0, &m1, &n1, &b[1], &lda, &c__0, &c__0); goto L60; } time = (time - untime) / (doublereal) ic; /* Op count for ZUNMTR, SIDE='L': same as ZUNMQR( 'L', TRANS, M-1, N, M-1, ...) Op count for ZUNMTR, SIDE='R': same as ZUNMQR( 'R', TRANS, M, N-1, N-1, ...) */ if (iside == 1) { i__5 = m1 - 1; i__6 = m1 - 1; ops = dopla_("ZUNMQR", &i__5, &n1, & i__6, &c_n1, &nb); } else { i__5 = n1 - 1; i__6 = n1 - 1; ops = dopla_("ZUNMQR", &m1, &i__5, & i__6, &c__1, &nb); } reslts_ref(inb, im, i3, i4 + itoff + in) = dmflop_(&ops, &time, &info); itoff = *nn; /* L70: */ } /* L80: */ } i4 += *nn << 1; /* L90: */ } } /* L100: */ } /* L110: */ } /* L120: */ } /* L130: */ } /* Print tables of results for ZHETRD and ZUNGTR */ for (isub = 1; isub <= 2; ++isub) { if (! timsub[isub - 1]) { goto L160; } io___42.ciunit = *nout; s_wsfe(&io___42); do_fio(&c__1, subnam_ref(0, isub), (ftnlen)6); e_wsfe(); if (*nlda > 1) { i__1 = *nlda; for (i__ = 1; i__ <= i__1; ++i__) { io___44.ciunit = *nout; s_wsfe(&io___44); do_fio(&c__1, (char *)&i__, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&ldaval[i__], (ftnlen)sizeof(integer)); e_wsfe(); /* L140: */ } } i3 = 1; for (iuplo = 1; iuplo <= 2; ++iuplo) { io___45.ciunit = *nout; s_wsfe(&io___45); do_fio(&c__1, subnam_ref(0, isub), (ftnlen)6); do_fio(&c__1, uplos + (iuplo - 1), (ftnlen)1); e_wsfe(); dprtb3_("( NB, NX)", "N", nnb, &nbval[1], &nxval[1], nm, &mval[ 1], nlda, &reslts_ref(1, 1, i3, isub), ldr1, ldr2, nout, ( ftnlen)11, (ftnlen)1); i3 += *nlda; /* L150: */ } L160: ; } /* Print tables of results for ZUNMTR */ isub = 3; if (timsub[isub - 1]) { i4 = 2; for (iside = 1; iside <= 2; ++iside) { if (iside == 1) { *(unsigned char *)lab1 = 'M'; *(unsigned char *)lab2 = 'N'; if (*nlda > 1) { io___48.ciunit = *nout; s_wsfe(&io___48); do_fio(&c__1, subnam_ref(0, isub), (ftnlen)6); e_wsfe(); i__1 = *nlda; for (i__ = 1; i__ <= i__1; ++i__) { io___49.ciunit = *nout; s_wsfe(&io___49); do_fio(&c__1, (char *)&i__, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&ldaval[i__], (ftnlen)sizeof( integer)); e_wsfe(); /* L170: */ } } } else { *(unsigned char *)lab1 = 'N'; *(unsigned char *)lab2 = 'M'; } for (itran = 1; itran <= 2; ++itran) { i__1 = *nn; for (in = 1; in <= i__1; ++in) { i3 = 1; for (iuplo = 1; iuplo <= 2; ++iuplo) { io___50.ciunit = *nout; s_wsfe(&io___50); do_fio(&c__1, subnam_ref(0, isub), (ftnlen)6); do_fio(&c__1, sides + (iside - 1), (ftnlen)1); do_fio(&c__1, uplos + (iuplo - 1), (ftnlen)1); do_fio(&c__1, transs + (itran - 1), (ftnlen)1); do_fio(&c__1, lab2, (ftnlen)1); do_fio(&c__1, (char *)&nval[in], (ftnlen)sizeof( integer)); e_wsfe(); dprtbl_("NB", lab1, nnb, &nbval[1], nm, &mval[1], nlda, &reslts_ref(1, 1, i3, i4 + in), ldr1, ldr2, nout, (ftnlen)2, (ftnlen)1); i3 += *nlda; /* L180: */ } /* L190: */ } i4 += *nn; /* L200: */ } /* L210: */ } } L220: /* Print a table of results for each timed routine. */ return 0; /* End of ZTIMTD */ } /* ztimtd_ */ #undef reslts_ref #undef subnam_ref