#include "blaswrap.h" /* schkpp.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, nunit; logical ok, lerr; } infoc_; #define infoc_1 infoc_ struct { char srnamt[6]; } srnamc_; #define srnamc_1 srnamc_ /* Table of constant values */ static integer c__0 = 0; static integer c_n1 = -1; static integer c__1 = 1; static integer c__8 = 8; /* Subroutine */ int schkpp_(logical *dotype, integer *nn, integer *nval, integer *nns, integer *nsval, real *thresh, logical *tsterr, integer * nmax, real *a, real *afac, real *ainv, real *b, real *x, real *xact, real *work, real *rwork, integer *iwork, integer *nout) { /* Initialized data */ static integer iseedy[4] = { 1988,1989,1990,1991 }; static char uplos[1*2] = "U" "L"; static char packs[1*2] = "C" "R"; /* Format strings */ static char fmt_9999[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002, " "type \002,i2,\002, test \002,i2,\002, ratio =\002,g12.5)"; static char fmt_9998[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002, " "NRHS=\002,i3,\002, type \002,i2,\002, test(\002,i2,\002) =\002,g" "12.5)"; /* System generated locals */ integer i__1, i__2, i__3; /* 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, n, in, kl, ku, lda, npp, ioff, mode, imat, info; static char path[3], dist[1]; static integer irhs, nrhs; static char uplo[1], type__[1]; static integer nrun; extern /* Subroutine */ int alahd_(integer *, char *); static integer nfail, iseed[4]; static real rcond; extern /* Subroutine */ int sget04_(integer *, integer *, real *, integer *, real *, integer *, real *, real *); static integer nimat; extern doublereal sget06_(real *, real *); static real anorm; extern /* Subroutine */ int sppt01_(char *, integer *, real *, real *, real *, real *); static integer iuplo, izero, nerrs; extern /* Subroutine */ int sppt02_(char *, integer *, integer *, real *, real *, integer *, real *, integer *, real *, real *), scopy_(integer *, real *, integer *, real *, integer *), sppt03_( char *, integer *, real *, real *, real *, integer *, real *, real *, real *), sppt05_(char *, integer *, integer *, real *, real *, integer *, real *, integer *, real *, integer *, real *, real *, real *); static logical zerot; static char xtype[1]; extern /* Subroutine */ int slatb4_(char *, integer *, integer *, integer *, char *, integer *, integer *, real *, integer *, real *, char * ), alaerh_(char *, char *, integer *, integer *, char *, integer *, integer *, integer *, integer *, integer *, integer *, integer *, integer *, integer *); static real rcondc; static char packit[1]; extern /* Subroutine */ int alasum_(char *, integer *, integer *, integer *, integer *); static real cndnum; extern /* Subroutine */ int slacpy_(char *, integer *, integer *, real *, integer *, real *, integer *), slarhs_(char *, char *, char *, char *, integer *, integer *, integer *, integer *, integer *, real *, integer *, real *, integer *, real *, integer * , integer *, integer *); extern doublereal slansp_(char *, char *, integer *, real *, real *); extern /* Subroutine */ int sppcon_(char *, integer *, real *, real *, real *, real *, integer *, integer *), slatms_(integer *, integer *, char *, integer *, char *, real *, integer *, real *, real *, integer *, integer *, char *, real *, integer *, real *, integer *), serrpo_(char *, integer *), spprfs_(char *, integer *, integer *, real *, real *, real *, integer *, real *, integer *, real *, real *, real *, integer *, integer *); static real result[8]; extern /* Subroutine */ int spptrf_(char *, integer *, real *, integer *), spptri_(char *, integer *, real *, integer *), spptrs_(char *, integer *, integer *, real *, real *, integer *, integer *); /* Fortran I/O blocks */ static cilist io___34 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___37 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___39 = { 0, 0, 0, fmt_9999, 0 }; /* -- LAPACK test routine (version 3.1) -- Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. November 2006 Purpose ======= SCHKPP tests SPPTRF, -TRI, -TRS, -RFS, and -CON 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. 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 dimension N. NNS (input) INTEGER The number of values of NRHS contained in the vector NSVAL. NSVAL (input) INTEGER array, dimension (NNS) The values of the number of right hand sides NRHS. 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. NMAX (input) INTEGER The maximum value permitted for N, used in dimensioning the work arrays. A (workspace) REAL array, dimension (NMAX*(NMAX+1)/2) AFAC (workspace) REAL array, dimension (NMAX*(NMAX+1)/2) AINV (workspace) REAL array, dimension (NMAX*(NMAX+1)/2) B (workspace) REAL array, dimension (NMAX*NSMAX) where NSMAX is the largest entry in NSVAL. X (workspace) REAL array, dimension (NMAX*NSMAX) XACT (workspace) REAL array, dimension (NMAX*NSMAX) WORK (workspace) REAL array, dimension (NMAX*max(3,NSMAX)) RWORK (workspace) REAL array, dimension (max(NMAX,2*NSMAX)) IWORK (workspace) INTEGER array, dimension (NMAX) NOUT (input) INTEGER The unit number for output. ===================================================================== Parameter adjustments */ --iwork; --rwork; --work; --xact; --x; --b; --ainv; --afac; --a; --nsval; --nval; --dotype; /* Function Body Initialize constants and the random number seed. */ s_copy(path, "Single precision", (ftnlen)1, (ftnlen)16); s_copy(path + 1, "PP", (ftnlen)2, (ftnlen)2); nrun = 0; nfail = 0; nerrs = 0; for (i__ = 1; i__ <= 4; ++i__) { iseed[i__ - 1] = iseedy[i__ - 1]; /* L10: */ } /* Test the error exits */ if (*tsterr) { serrpo_(path, nout); } infoc_1.infot = 0; /* Do for each value of N in NVAL */ i__1 = *nn; for (in = 1; in <= i__1; ++in) { n = nval[in]; lda = max(n,1); *(unsigned char *)xtype = 'N'; nimat = 9; if (n <= 0) { nimat = 1; } i__2 = nimat; for (imat = 1; imat <= i__2; ++imat) { /* Do the tests only if DOTYPE( IMAT ) is true. */ if (! dotype[imat]) { goto L100; } /* Skip types 3, 4, or 5 if the matrix size is too small. */ zerot = imat >= 3 && imat <= 5; if (zerot && n < imat - 2) { goto L100; } /* Do first for UPLO = 'U', then for UPLO = 'L' */ for (iuplo = 1; iuplo <= 2; ++iuplo) { *(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1]; *(unsigned char *)packit = *(unsigned char *)&packs[iuplo - 1] ; /* Set up parameters with SLATB4 and generate a test matrix with SLATMS. */ slatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode, &cndnum, dist); s_copy(srnamc_1.srnamt, "SLATMS", (ftnlen)6, (ftnlen)6); slatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, & cndnum, &anorm, &kl, &ku, packit, &a[1], &lda, &work[ 1], &info); /* Check error code from SLATMS. */ if (info != 0) { alaerh_(path, "SLATMS", &info, &c__0, uplo, &n, &n, &c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, nout); goto L90; } /* For types 3-5, zero one row and column of the matrix to test that INFO is returned correctly. */ if (zerot) { if (imat == 3) { izero = 1; } else if (imat == 4) { izero = n; } else { izero = n / 2 + 1; } /* Set row and column IZERO of A to 0. */ if (iuplo == 1) { ioff = (izero - 1) * izero / 2; i__3 = izero - 1; for (i__ = 1; i__ <= i__3; ++i__) { a[ioff + i__] = 0.f; /* L20: */ } ioff += izero; i__3 = n; for (i__ = izero; i__ <= i__3; ++i__) { a[ioff] = 0.f; ioff += i__; /* L30: */ } } else { ioff = izero; i__3 = izero - 1; for (i__ = 1; i__ <= i__3; ++i__) { a[ioff] = 0.f; ioff = ioff + n - i__; /* L40: */ } ioff -= izero; i__3 = n; for (i__ = izero; i__ <= i__3; ++i__) { a[ioff + i__] = 0.f; /* L50: */ } } } else { izero = 0; } /* Compute the L*L' or U'*U factorization of the matrix. */ npp = n * (n + 1) / 2; scopy_(&npp, &a[1], &c__1, &afac[1], &c__1); s_copy(srnamc_1.srnamt, "SPPTRF", (ftnlen)6, (ftnlen)6); spptrf_(uplo, &n, &afac[1], &info); /* Check error code from SPPTRF. */ if (info != izero) { alaerh_(path, "SPPTRF", &info, &izero, uplo, &n, &n, & c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, nout); goto L90; } /* Skip the tests if INFO is not 0. */ if (info != 0) { goto L90; } /* + TEST 1 Reconstruct matrix from factors and compute residual. */ scopy_(&npp, &afac[1], &c__1, &ainv[1], &c__1); sppt01_(uplo, &n, &a[1], &ainv[1], &rwork[1], result); /* + TEST 2 Form the inverse and compute the residual. */ scopy_(&npp, &afac[1], &c__1, &ainv[1], &c__1); s_copy(srnamc_1.srnamt, "SPPTRI", (ftnlen)6, (ftnlen)6); spptri_(uplo, &n, &ainv[1], &info); /* Check error code from SPPTRI. */ if (info != 0) { alaerh_(path, "SPPTRI", &info, &c__0, uplo, &n, &n, &c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, nout); } sppt03_(uplo, &n, &a[1], &ainv[1], &work[1], &lda, &rwork[1], &rcondc, &result[1]); /* Print information about the tests that did not pass the threshold. */ for (k = 1; k <= 2; ++k) { if (result[k - 1] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___34.ciunit = *nout; s_wsfe(&io___34); do_fio(&c__1, uplo, (ftnlen)1); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&imat, (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; } /* L60: */ } nrun += 2; i__3 = *nns; for (irhs = 1; irhs <= i__3; ++irhs) { nrhs = nsval[irhs]; /* + TEST 3 Solve and compute residual for A * X = B. */ s_copy(srnamc_1.srnamt, "SLARHS", (ftnlen)6, (ftnlen)6); slarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku, &nrhs, & a[1], &lda, &xact[1], &lda, &b[1], &lda, iseed, & info); slacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &lda); s_copy(srnamc_1.srnamt, "SPPTRS", (ftnlen)6, (ftnlen)6); spptrs_(uplo, &n, &nrhs, &afac[1], &x[1], &lda, &info); /* Check error code from SPPTRS. */ if (info != 0) { alaerh_(path, "SPPTRS", &info, &c__0, uplo, &n, &n, & c_n1, &c_n1, &nrhs, &imat, &nfail, &nerrs, nout); } slacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &lda); sppt02_(uplo, &n, &nrhs, &a[1], &x[1], &lda, &work[1], & lda, &rwork[1], &result[2]); /* + TEST 4 Check solution from generated exact solution. */ sget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, & result[3]); /* + TESTS 5, 6, and 7 Use iterative refinement to improve the solution. */ s_copy(srnamc_1.srnamt, "SPPRFS", (ftnlen)6, (ftnlen)6); spprfs_(uplo, &n, &nrhs, &a[1], &afac[1], &b[1], &lda, &x[ 1], &lda, &rwork[1], &rwork[nrhs + 1], &work[1], & iwork[1], &info); /* Check error code from SPPRFS. */ if (info != 0) { alaerh_(path, "SPPRFS", &info, &c__0, uplo, &n, &n, & c_n1, &c_n1, &nrhs, &imat, &nfail, &nerrs, nout); } sget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, & result[4]); sppt05_(uplo, &n, &nrhs, &a[1], &b[1], &lda, &x[1], &lda, &xact[1], &lda, &rwork[1], &rwork[nrhs + 1], & result[5]); /* Print information about the tests that did not pass the threshold. */ for (k = 3; k <= 7; ++k) { if (result[k - 1] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___37.ciunit = *nout; s_wsfe(&io___37); do_fio(&c__1, uplo, (ftnlen)1); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)) ; do_fio(&c__1, (char *)&nrhs, (ftnlen)sizeof( integer)); do_fio(&c__1, (char *)&imat, (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; } /* L70: */ } nrun += 5; /* L80: */ } /* + TEST 8 Get an estimate of RCOND = 1/CNDNUM. */ anorm = slansp_("1", uplo, &n, &a[1], &rwork[1]); s_copy(srnamc_1.srnamt, "SPPCON", (ftnlen)6, (ftnlen)6); sppcon_(uplo, &n, &afac[1], &anorm, &rcond, &work[1], &iwork[ 1], &info); /* Check error code from SPPCON. */ if (info != 0) { alaerh_(path, "SPPCON", &info, &c__0, uplo, &n, &n, &c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, nout); } result[7] = sget06_(&rcond, &rcondc); /* Print the test ratio if greater than or equal to THRESH. */ if (result[7] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___39.ciunit = *nout; s_wsfe(&io___39); do_fio(&c__1, uplo, (ftnlen)1); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&c__8, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&result[7], (ftnlen)sizeof(real)); e_wsfe(); ++nfail; } ++nrun; L90: ; } L100: ; } /* L110: */ } /* Print a summary of the results. */ alasum_(path, nout, &nfail, &nrun, &nerrs); return 0; /* End of SCHKPP */ } /* schkpp_ */