#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__6 = 6; static doublereal c_b35 = 1.; /* Subroutine */ int dget35_(doublereal *rmax, integer *lmax, integer *ninfo, integer *knt) { /* Initialized data */ static integer idim[8] = { 1,2,3,4,3,3,6,4 }; static integer ival[288] /* was [6][6][8] */ = { 1,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,-2, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0, 0,0,5,1,2,0,0,0,-8,-2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 3,4,0,0,0,0,-5,3,0,0,0,0,1,2,1,4,0,0,-3,-9,-1,1,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0,0,2,3,0,0,0,0,5,6,7,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,3,-4,0,0,0,2,5,2,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,-2,0,0,0,0,0,5,6,3,4,0,0,-1, -9,-5,2,0,0,8,8,8,8,5,6,9,9,9,9,-7,5,1,0,0,0,0,0,1,5,2,0,0,0,2, -21,5,0,0,0,1,2,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0 }; /* System generated locals */ integer i__1, i__2, i__3; doublereal d__1, d__2, d__3; /* Builtin functions */ double sqrt(doublereal), sin(doublereal); /* Local variables */ static integer info; static doublereal cnrm; static integer isgn; static doublereal rmul, tnrm, xnrm, a[36] /* was [6][6] */, b[36] /* was [6][6] */, c__[36] /* was [6][6] */; static integer i__, j, m, n; static doublereal scale; extern /* Subroutine */ int dgemm_(char *, char *, integer *, integer *, integer *, doublereal *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *, integer *); static char trana[1], tranb[1]; static integer imlda1, imlda2, imldb1; static doublereal cc[36] /* was [6][6] */; extern /* Subroutine */ int dlabad_(doublereal *, doublereal *); extern doublereal dlamch_(char *), dlange_(char *, integer *, integer *, doublereal *, integer *, doublereal *); static integer imloff, itrana, itranb; static doublereal bignum, smlnum; extern /* Subroutine */ int dtrsyl_(char *, char *, integer *, integer *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, integer *, doublereal *, integer *); static doublereal vm1[3], vm2[3]; static integer ima, imb; static doublereal dum[1], eps, res, res1; #define ival_ref(a_1,a_2,a_3) ival[((a_3)*6 + (a_2))*6 + a_1 - 43] #define a_ref(a_1,a_2) a[(a_2)*6 + a_1 - 7] #define b_ref(a_1,a_2) b[(a_2)*6 + a_1 - 7] #define c___ref(a_1,a_2) c__[(a_2)*6 + a_1 - 7] #define cc_ref(a_1,a_2) cc[(a_2)*6 + a_1 - 7] /* -- LAPACK test routine (version 3.0) -- Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., Courant Institute, Argonne National Lab, and Rice University February 29, 1992 Purpose ======= DGET35 tests DTRSYL, a routine for solving the Sylvester matrix equation op(A)*X + ISGN*X*op(B) = scale*C, A and B are assumed to be in Schur canonical form, op() represents an optional transpose, and ISGN can be -1 or +1. Scale is an output less than or equal to 1, chosen to avoid overflow in X. The test code verifies that the following residual is order 1: norm(op(A)*X + ISGN*X*op(B) - scale*C) / (EPS*max(norm(A),norm(B))*norm(X)) Arguments ========== RMAX (output) DOUBLE PRECISION Value of the largest test ratio. LMAX (output) INTEGER Example number where largest test ratio achieved. NINFO (output) INTEGER Number of examples where INFO is nonzero. KNT (output) INTEGER Total number of examples tested. ===================================================================== Get machine parameters */ eps = dlamch_("P"); smlnum = dlamch_("S") * 4. / eps; bignum = 1. / smlnum; dlabad_(&smlnum, &bignum); /* Set up test case parameters */ vm1[0] = sqrt(smlnum); vm1[1] = 1.; vm1[2] = sqrt(bignum); vm2[0] = 1.; vm2[1] = eps * 2. + 1.; vm2[2] = 2.; *knt = 0; *ninfo = 0; *lmax = 0; *rmax = 0.; /* Begin test loop */ for (itrana = 1; itrana <= 2; ++itrana) { for (itranb = 1; itranb <= 2; ++itranb) { for (isgn = -1; isgn <= 1; isgn += 2) { for (ima = 1; ima <= 8; ++ima) { for (imlda1 = 1; imlda1 <= 3; ++imlda1) { for (imlda2 = 1; imlda2 <= 3; ++imlda2) { for (imloff = 1; imloff <= 2; ++imloff) { for (imb = 1; imb <= 8; ++imb) { for (imldb1 = 1; imldb1 <= 3; ++imldb1) { if (itrana == 1) { *(unsigned char *)trana = 'N'; } if (itrana == 2) { *(unsigned char *)trana = 'T'; } if (itranb == 1) { *(unsigned char *)tranb = 'N'; } if (itranb == 2) { *(unsigned char *)tranb = 'T'; } m = idim[ima - 1]; n = idim[imb - 1]; tnrm = 0.; i__1 = m; for (i__ = 1; i__ <= i__1; ++i__) { i__2 = m; for (j = 1; j <= i__2; ++j) { a_ref(i__, j) = (doublereal) ival_ref(i__, j, ima); if ((i__3 = i__ - j, abs(i__3)) <= 1) { a_ref(i__, j) = a_ref(i__, j) * vm1[imlda1 - 1]; a_ref(i__, j) = a_ref(i__, j) * vm2[imlda2 - 1]; } else { a_ref(i__, j) = a_ref(i__, j) * vm1[imloff - 1]; } /* Computing MAX */ d__2 = tnrm, d__3 = (d__1 = a_ref(i__, j), abs(d__1) ); tnrm = max(d__2,d__3); /* L10: */ } /* L20: */ } i__1 = n; for (i__ = 1; i__ <= i__1; ++i__) { i__2 = n; for (j = 1; j <= i__2; ++j) { b_ref(i__, j) = (doublereal) ival_ref(i__, j, imb); if ((i__3 = i__ - j, abs(i__3)) <= 1) { b_ref(i__, j) = b_ref(i__, j) * vm1[imldb1 - 1]; } else { b_ref(i__, j) = b_ref(i__, j) * vm1[imloff - 1]; } /* Computing MAX */ d__2 = tnrm, d__3 = (d__1 = b_ref(i__, j), abs(d__1) ); tnrm = max(d__2,d__3); /* L30: */ } /* L40: */ } cnrm = 0.; i__1 = m; for (i__ = 1; i__ <= i__1; ++i__) { i__2 = n; for (j = 1; j <= i__2; ++j) { c___ref(i__, j) = sin((doublereal) (i__ * j)); /* Computing MAX */ d__1 = cnrm, d__2 = c___ref(i__, j); cnrm = max(d__1,d__2); cc_ref(i__, j) = c___ref(i__, j); /* L50: */ } /* L60: */ } ++(*knt); dtrsyl_(trana, tranb, &isgn, &m, &n, a, &c__6, b, &c__6, c__, & c__6, &scale, &info); if (info != 0) { ++(*ninfo); } xnrm = dlange_("M", &m, &n, c__, & c__6, dum); rmul = 1.; if (xnrm > 1. && tnrm > 1.) { if (xnrm > bignum / tnrm) { rmul = 1. / max(xnrm,tnrm); } } d__1 = -scale * rmul; dgemm_(trana, "N", &m, &n, &m, &rmul, a, &c__6, c__, &c__6, &d__1, cc, &c__6); d__1 = (doublereal) isgn * rmul; dgemm_("N", tranb, &m, &n, &n, &d__1, c__, &c__6, b, &c__6, &c_b35, cc, &c__6); res1 = dlange_("M", &m, &n, cc, &c__6, dum); /* Computing MAX */ d__1 = smlnum, d__2 = smlnum * xnrm, d__1 = max(d__1,d__2), d__2 = rmul * tnrm * eps * xnrm; res = res1 / max(d__1,d__2); if (res > *rmax) { *lmax = *knt; *rmax = res; } /* L70: */ } /* L80: */ } /* L90: */ } /* L100: */ } /* L110: */ } /* L120: */ } /* L130: */ } /* L140: */ } /* L150: */ } return 0; /* End of DGET35 */ } /* dget35_ */ #undef cc_ref #undef c___ref #undef b_ref #undef a_ref #undef ival_ref .