#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 integer c__1 = 1; static integer c__0 = 0; static integer c_n1 = -1; static integer c__2 = 2; static integer c__3 = 3; static integer c__7 = 7; static integer c__4 = 4; static real c_b103 = 1.f; static integer c__8 = 8; static integer c__9 = 9; /* Subroutine */ int cchktp_(logical *dotype, integer *nn, integer *nval, integer *nns, integer *nsval, real *thresh, logical *tsterr, integer * nmax, complex *ap, complex *ainvp, complex *b, complex *x, complex * xact, complex *work, real *rwork, integer *nout) { /* Initialized data */ static integer iseedy[4] = { 1988,1989,1990,1991 }; static char uplos[1*2] = "U" "L"; static char transs[1*3] = "N" "T" "C"; /* Format strings */ static char fmt_9999[] = "(\002 UPLO='\002,a1,\002', DIAG='\002,a1,\002'" ", N=\002,i5,\002, type \002,i2,\002, test(\002,i2,\002)= \002,g1" "2.5)"; static char fmt_9998[] = "(\002 UPLO='\002,a1,\002', TRANS='\002,a1,\002" "', DIAG='\002,a1,\002', N=\002,i5,\002', NRHS=\002,i5,\002, type " "\002,i2,\002, test(\002,i2,\002)= \002,g12.5)"; static char fmt_9997[] = "(1x,a6,\002( '\002,a1,\002', '\002,a1,\002', " "'\002,a1,\002',\002,i5,\002, ... ), type \002,i2,\002, test(\002" ",i2,\002)=\002,g12.5)"; static char fmt_9996[] = "(1x,a6,\002( '\002,a1,\002', '\002,a1,\002', " "'\002,a1,\002', '\002,a1,\002',\002,i5,\002, ... ), type \002,i2," "\002, test(\002,i2,\002)=\002,g12.5)"; /* System generated locals */ address a__1[2], a__2[3], a__3[4]; integer i__1, i__2[2], i__3, i__4[3], i__5[4]; char ch__1[2], ch__2[3], ch__3[4]; /* Builtin functions */ /* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen), s_cat(char *, char **, integer *, integer *, ftnlen); integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void); /* Local variables */ integer i__, k, n, in, lda, lap; char diag[1]; integer imat, info; char path[3]; integer irhs, nrhs; char norm[1], uplo[1]; integer nrun; extern /* Subroutine */ int alahd_(integer *, char *); integer idiag; extern /* Subroutine */ int cget04_(integer *, integer *, complex *, integer *, complex *, integer *, real *, real *); real scale; integer nfail, iseed[4]; extern logical lsame_(char *, char *); real rcond; extern /* Subroutine */ int ctpt01_(char *, char *, integer *, complex *, complex *, real *, real *, real *); real anorm; integer itran; extern /* Subroutine */ int ccopy_(integer *, complex *, integer *, complex *, integer *), ctpt02_(char *, char *, char *, integer *, integer *, complex *, complex *, integer *, complex *, integer *, complex *, real *, real *), ctpt03_(char * , char *, char *, integer *, integer *, complex *, real *, real *, real *, complex *, integer *, complex *, integer *, complex *, real *), ctpt05_(char *, char *, char *, integer *, integer *, complex *, complex *, integer *, complex *, integer *, complex *, integer *, real *, real *, real *), ctpt06_(real *, real *, char *, char *, integer * , complex *, real *, real *); char trans[1]; integer iuplo, nerrs; char xtype[1]; extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *, char *, integer *, integer *, integer *, integer *, integer *, integer *, integer *, integer *, integer *); real rcondc; extern /* Subroutine */ int clacpy_(char *, integer *, integer *, complex *, integer *, complex *, integer *), clarhs_(char *, char *, char *, char *, integer *, integer *, integer *, integer *, integer *, complex *, integer *, complex *, integer *, complex *, integer *, integer *, integer *); real rcondi; extern doublereal clantp_(char *, char *, char *, integer *, complex *, real *); extern /* Subroutine */ int alasum_(char *, integer *, integer *, integer *, integer *); real rcondo; extern /* Subroutine */ int clatps_(char *, char *, char *, char *, integer *, complex *, complex *, real *, real *, integer *), clattp_(integer *, char *, char * , char *, integer *, integer *, complex *, complex *, complex *, real *, integer *); real ainvnm; extern /* Subroutine */ int ctpcon_(char *, char *, char *, integer *, complex *, real *, complex *, real *, integer *), cerrtr_(char *, integer *), ctprfs_(char *, char *, char *, integer *, integer *, complex *, complex *, integer *, complex *, integer *, real *, real *, complex *, real *, integer * ), ctptri_(char *, char *, integer *, complex *, integer *); real result[9]; extern /* Subroutine */ int ctptrs_(char *, char *, char *, integer *, integer *, complex *, complex *, integer *, integer *); /* Fortran I/O blocks */ static cilist io___26 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___34 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___36 = { 0, 0, 0, fmt_9997, 0 }; static cilist io___38 = { 0, 0, 0, fmt_9996, 0 }; static cilist io___39 = { 0, 0, 0, fmt_9996, 0 }; /* -- LAPACK test routine (version 3.1) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* CCHKTP tests CTPTRI, -TRS, -RFS, and -CON, and CLATPS */ /* 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 column 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 leading dimension of the work arrays. NMAX >= the */ /* maximumm value of N in NVAL. */ /* AP (workspace) COMPLEX array, dimension (NMAX*(NMAX+1)/2) */ /* AINVP (workspace) COMPLEX array, dimension (NMAX*(NMAX+1)/2) */ /* B (workspace) COMPLEX array, dimension (NMAX*NSMAX) */ /* where NSMAX is the largest entry in NSVAL. */ /* X (workspace) COMPLEX array, dimension (NMAX*NSMAX) */ /* XACT (workspace) COMPLEX array, dimension (NMAX*NSMAX) */ /* WORK (workspace) COMPLEX array, dimension */ /* (NMAX*max(3,NSMAX)) */ /* RWORK (workspace) REAL array, dimension */ /* (max(NMAX,2*NSMAX)) */ /* NOUT (input) INTEGER */ /* The unit number for output. */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. Local Arrays .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Scalars in Common .. */ /* .. */ /* .. Common blocks .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Data statements .. */ /* Parameter adjustments */ --rwork; --work; --xact; --x; --b; --ainvp; --ap; --nsval; --nval; --dotype; /* Function Body */ /* .. */ /* .. Executable Statements .. */ /* Initialize constants and the random number seed. */ s_copy(path, "Complex precision", (ftnlen)1, (ftnlen)17); s_copy(path + 1, "TP", (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) { cerrtr_(path, nout); } infoc_1.infot = 0; i__1 = *nn; for (in = 1; in <= i__1; ++in) { /* Do for each value of N in NVAL */ n = nval[in]; lda = max(1,n); lap = lda * (lda + 1) / 2; *(unsigned char *)xtype = 'N'; for (imat = 1; imat <= 10; ++imat) { /* Do the tests only if DOTYPE( IMAT ) is true. */ if (! dotype[imat]) { goto L70; } for (iuplo = 1; iuplo <= 2; ++iuplo) { /* Do first for UPLO = 'U', then for UPLO = 'L' */ *(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1]; /* Call CLATTP to generate a triangular test matrix. */ s_copy(srnamc_1.srnamt, "CLATTP", (ftnlen)6, (ftnlen)6); clattp_(&imat, uplo, "No transpose", diag, iseed, &n, &ap[1], &x[1], &work[1], &rwork[1], &info); /* Set IDIAG = 1 for non-unit matrices, 2 for unit. */ if (lsame_(diag, "N")) { idiag = 1; } else { idiag = 2; } /* + TEST 1 */ /* Form the inverse of A. */ if (n > 0) { ccopy_(&lap, &ap[1], &c__1, &ainvp[1], &c__1); } s_copy(srnamc_1.srnamt, "CTPTRI", (ftnlen)6, (ftnlen)6); ctptri_(uplo, diag, &n, &ainvp[1], &info); /* Check error code from CTPTRI. */ if (info != 0) { /* Writing concatenation */ i__2[0] = 1, a__1[0] = uplo; i__2[1] = 1, a__1[1] = diag; s_cat(ch__1, a__1, i__2, &c__2, (ftnlen)2); alaerh_(path, "CTPTRI", &info, &c__0, ch__1, &n, &n, & c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, nout); } /* Compute the infinity-norm condition number of A. */ anorm = clantp_("I", uplo, diag, &n, &ap[1], &rwork[1]); ainvnm = clantp_("I", uplo, diag, &n, &ainvp[1], &rwork[1]); if (anorm <= 0.f || ainvnm <= 0.f) { rcondi = 1.f; } else { rcondi = 1.f / anorm / ainvnm; } /* Compute the residual for the triangular matrix times its */ /* inverse. Also compute the 1-norm condition number of A. */ ctpt01_(uplo, diag, &n, &ap[1], &ainvp[1], &rcondo, &rwork[1], result); /* Print the test ratio if it is .GE. THRESH. */ if (result[0] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___26.ciunit = *nout; s_wsfe(&io___26); do_fio(&c__1, uplo, (ftnlen)1); do_fio(&c__1, diag, (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__1, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&result[0], (ftnlen)sizeof(real)); e_wsfe(); ++nfail; } ++nrun; i__3 = *nns; for (irhs = 1; irhs <= i__3; ++irhs) { nrhs = nsval[irhs]; *(unsigned char *)xtype = 'N'; for (itran = 1; itran <= 3; ++itran) { /* Do for op(A) = A, A**T, or A**H. */ *(unsigned char *)trans = *(unsigned char *)&transs[ itran - 1]; if (itran == 1) { *(unsigned char *)norm = 'O'; rcondc = rcondo; } else { *(unsigned char *)norm = 'I'; rcondc = rcondi; } /* + TEST 2 */ /* Solve and compute residual for op(A)*x = b. */ s_copy(srnamc_1.srnamt, "CLARHS", (ftnlen)6, (ftnlen) 6); clarhs_(path, xtype, uplo, trans, &n, &n, &c__0, & idiag, &nrhs, &ap[1], &lap, &xact[1], &lda, & b[1], &lda, iseed, &info); *(unsigned char *)xtype = 'C'; clacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &lda); s_copy(srnamc_1.srnamt, "CTPTRS", (ftnlen)6, (ftnlen) 6); ctptrs_(uplo, trans, diag, &n, &nrhs, &ap[1], &x[1], & lda, &info); /* Check error code from CTPTRS. */ if (info != 0) { /* Writing concatenation */ i__4[0] = 1, a__2[0] = uplo; i__4[1] = 1, a__2[1] = trans; i__4[2] = 1, a__2[2] = diag; s_cat(ch__2, a__2, i__4, &c__3, (ftnlen)3); alaerh_(path, "CTPTRS", &info, &c__0, ch__2, &n, & n, &c_n1, &c_n1, &c_n1, &imat, &nfail, & nerrs, nout); } ctpt02_(uplo, trans, diag, &n, &nrhs, &ap[1], &x[1], & lda, &b[1], &lda, &work[1], &rwork[1], & result[1]); /* + TEST 3 */ /* Check solution from generated exact solution. */ cget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, & rcondc, &result[2]); /* + TESTS 4, 5, and 6 */ /* Use iterative refinement to improve the solution and */ /* compute error bounds. */ s_copy(srnamc_1.srnamt, "CTPRFS", (ftnlen)6, (ftnlen) 6); ctprfs_(uplo, trans, diag, &n, &nrhs, &ap[1], &b[1], & lda, &x[1], &lda, &rwork[1], &rwork[nrhs + 1], &work[1], &rwork[(nrhs << 1) + 1], &info); /* Check error code from CTPRFS. */ if (info != 0) { /* Writing concatenation */ i__4[0] = 1, a__2[0] = uplo; i__4[1] = 1, a__2[1] = trans; i__4[2] = 1, a__2[2] = diag; s_cat(ch__2, a__2, i__4, &c__3, (ftnlen)3); alaerh_(path, "CTPRFS", &info, &c__0, ch__2, &n, & n, &c_n1, &c_n1, &nrhs, &imat, &nfail, & nerrs, nout); } cget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, & rcondc, &result[3]); ctpt05_(uplo, trans, diag, &n, &nrhs, &ap[1], &b[1], & lda, &x[1], &lda, &xact[1], &lda, &rwork[1], & rwork[nrhs + 1], &result[4]); /* Print information about the tests that did not pass */ /* the threshold. */ for (k = 2; k <= 6; ++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, trans, (ftnlen)1); do_fio(&c__1, diag, (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; } /* L20: */ } nrun += 5; /* L30: */ } /* L40: */ } /* + TEST 7 */ /* Get an estimate of RCOND = 1/CNDNUM. */ for (itran = 1; itran <= 2; ++itran) { if (itran == 1) { *(unsigned char *)norm = 'O'; rcondc = rcondo; } else { *(unsigned char *)norm = 'I'; rcondc = rcondi; } s_copy(srnamc_1.srnamt, "CTPCON", (ftnlen)6, (ftnlen)6); ctpcon_(norm, uplo, diag, &n, &ap[1], &rcond, &work[1], & rwork[1], &info); /* Check error code from CTPCON. */ if (info != 0) { /* Writing concatenation */ i__4[0] = 1, a__2[0] = norm; i__4[1] = 1, a__2[1] = uplo; i__4[2] = 1, a__2[2] = diag; s_cat(ch__2, a__2, i__4, &c__3, (ftnlen)3); alaerh_(path, "CTPCON", &info, &c__0, ch__2, &n, &n, & c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, nout); } ctpt06_(&rcond, &rcondc, uplo, diag, &n, &ap[1], &rwork[1] , &result[6]); /* Print the test ratio if it is .GE. THRESH. */ if (result[6] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___36.ciunit = *nout; s_wsfe(&io___36); do_fio(&c__1, "CTPCON", (ftnlen)6); do_fio(&c__1, norm, (ftnlen)1); do_fio(&c__1, uplo, (ftnlen)1); do_fio(&c__1, diag, (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__7, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&result[6], (ftnlen)sizeof(real) ); e_wsfe(); ++nfail; } ++nrun; /* L50: */ } /* L60: */ } L70: ; } /* Use pathological test matrices to test CLATPS. */ for (imat = 11; imat <= 18; ++imat) { /* Do the tests only if DOTYPE( IMAT ) is true. */ if (! dotype[imat]) { goto L100; } for (iuplo = 1; iuplo <= 2; ++iuplo) { /* Do first for UPLO = 'U', then for UPLO = 'L' */ *(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1]; for (itran = 1; itran <= 3; ++itran) { /* Do for op(A) = A, A**T, or A**H. */ *(unsigned char *)trans = *(unsigned char *)&transs[itran - 1]; /* Call CLATTP to generate a triangular test matrix. */ s_copy(srnamc_1.srnamt, "CLATTP", (ftnlen)6, (ftnlen)6); clattp_(&imat, uplo, trans, diag, iseed, &n, &ap[1], &x[1] , &work[1], &rwork[1], &info); /* + TEST 8 */ /* Solve the system op(A)*x = b. */ s_copy(srnamc_1.srnamt, "CLATPS", (ftnlen)6, (ftnlen)6); ccopy_(&n, &x[1], &c__1, &b[1], &c__1); clatps_(uplo, trans, diag, "N", &n, &ap[1], &b[1], &scale, &rwork[1], &info); /* Check error code from CLATPS. */ if (info != 0) { /* Writing concatenation */ i__5[0] = 1, a__3[0] = uplo; i__5[1] = 1, a__3[1] = trans; i__5[2] = 1, a__3[2] = diag; i__5[3] = 1, a__3[3] = "N"; s_cat(ch__3, a__3, i__5, &c__4, (ftnlen)4); alaerh_(path, "CLATPS", &info, &c__0, ch__3, &n, &n, & c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, nout); } ctpt03_(uplo, trans, diag, &n, &c__1, &ap[1], &scale, & rwork[1], &c_b103, &b[1], &lda, &x[1], &lda, & work[1], &result[7]); /* + TEST 9 */ /* Solve op(A)*x = b again with NORMIN = 'Y'. */ ccopy_(&n, &x[1], &c__1, &b[n + 1], &c__1); clatps_(uplo, trans, diag, "Y", &n, &ap[1], &b[n + 1], & scale, &rwork[1], &info); /* Check error code from CLATPS. */ if (info != 0) { /* Writing concatenation */ i__5[0] = 1, a__3[0] = uplo; i__5[1] = 1, a__3[1] = trans; i__5[2] = 1, a__3[2] = diag; i__5[3] = 1, a__3[3] = "Y"; s_cat(ch__3, a__3, i__5, &c__4, (ftnlen)4); alaerh_(path, "CLATPS", &info, &c__0, ch__3, &n, &n, & c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, nout); } ctpt03_(uplo, trans, diag, &n, &c__1, &ap[1], &scale, & rwork[1], &c_b103, &b[n + 1], &lda, &x[1], &lda, & work[1], &result[8]); /* Print information about the tests that did not pass */ /* the threshold. */ if (result[7] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___38.ciunit = *nout; s_wsfe(&io___38); do_fio(&c__1, "CLATPS", (ftnlen)6); do_fio(&c__1, uplo, (ftnlen)1); do_fio(&c__1, trans, (ftnlen)1); do_fio(&c__1, diag, (ftnlen)1); do_fio(&c__1, "N", (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; } if (result[8] >= *thresh) { if (nfail == 0 && nerrs == 0) { alahd_(nout, path); } io___39.ciunit = *nout; s_wsfe(&io___39); do_fio(&c__1, "CLATPS", (ftnlen)6); do_fio(&c__1, uplo, (ftnlen)1); do_fio(&c__1, trans, (ftnlen)1); do_fio(&c__1, diag, (ftnlen)1); do_fio(&c__1, "Y", (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__9, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&result[8], (ftnlen)sizeof(real) ); e_wsfe(); ++nfail; } nrun += 2; /* L80: */ } /* L90: */ } L100: ; } /* L110: */ } /* Print a summary of the results. */ alasum_(path, nout, &nfail, &nrun, &nerrs); return 0; /* End of CCHKTP */ } /* cchktp_ */