#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__1 = 1; static integer c__7 = 7; static integer c__10 = 10; static doublecomplex c_b43 = {1.,0.}; /* Subroutine */ int zget35_(doublereal *rmax, integer *lmax, integer *ninfo, integer *knt, integer *nin) { /* System generated locals */ integer i__1, i__2, i__3, i__4, i__5; doublereal d__1, d__2; doublecomplex z__1; /* Builtin functions */ double sqrt(doublereal); integer s_rsle(cilist *), do_lio(integer *, integer *, char *, ftnlen), e_rsle(void); double z_abs(doublecomplex *); void z_div(doublecomplex *, doublecomplex *, doublecomplex *); /* Local variables */ static integer imla, imlb, imlc, info; static doublecomplex csav[100] /* was [10][10] */; static integer isgn; static doublecomplex atmp[100] /* was [10][10] */, btmp[100] /* was [10][10] */, ctmp[100] /* was [10][10] */; static doublereal tnrm; static doublecomplex rmul; static doublereal xnrm; static doublecomplex a[100] /* was [10][10] */, b[100] /* was [10][ 10] */, c__[100] /* was [10][10] */; static integer i__, j, m, n, imlad; static doublereal scale; static char trana[1], tranb[1]; extern /* Subroutine */ int zgemm_(char *, char *, integer *, integer *, integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *), dlabad_(doublereal *, doublereal *); extern doublereal dlamch_(char *); static integer itrana, itranb; extern doublereal zlange_(char *, integer *, integer *, doublecomplex *, integer *, doublereal *); static doublereal bignum, smlnum, vm1[3], vm2[3]; extern /* Subroutine */ int ztrsyl_(char *, char *, integer *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *, integer *); static doublereal dum[1], eps, res, res1; /* Fortran I/O blocks */ static cilist io___6 = { 0, 0, 0, 0, 0 }; static cilist io___10 = { 0, 0, 0, 0, 0 }; static cilist io___13 = { 0, 0, 0, 0, 0 }; static cilist io___15 = { 0, 0, 0, 0, 0 }; #define csav_subscr(a_1,a_2) (a_2)*10 + a_1 - 11 #define csav_ref(a_1,a_2) csav[csav_subscr(a_1,a_2)] #define atmp_subscr(a_1,a_2) (a_2)*10 + a_1 - 11 #define atmp_ref(a_1,a_2) atmp[atmp_subscr(a_1,a_2)] #define btmp_subscr(a_1,a_2) (a_2)*10 + a_1 - 11 #define btmp_ref(a_1,a_2) btmp[btmp_subscr(a_1,a_2)] #define ctmp_subscr(a_1,a_2) (a_2)*10 + a_1 - 11 #define ctmp_ref(a_1,a_2) ctmp[ctmp_subscr(a_1,a_2)] #define a_subscr(a_1,a_2) (a_2)*10 + a_1 - 11 #define a_ref(a_1,a_2) a[a_subscr(a_1,a_2)] #define b_subscr(a_1,a_2) (a_2)*10 + a_1 - 11 #define b_ref(a_1,a_2) b[b_subscr(a_1,a_2)] #define c___subscr(a_1,a_2) (a_2)*10 + a_1 - 11 #define c___ref(a_1,a_2) c__[c___subscr(a_1,a_2)] /* -- 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 ======= ZGET35 tests ZTRSYL, 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. NIN (input) INTEGER Input logical unit number. ===================================================================== Get machine parameters */ eps = dlamch_("P"); smlnum = dlamch_("S") / eps; bignum = 1. / smlnum; dlabad_(&smlnum, &bignum); /* Set up test case parameters */ vm1[0] = sqrt(smlnum); vm1[1] = 1.; vm1[2] = 1e6; vm2[0] = 1.; vm2[1] = eps * 2. + 1.; vm2[2] = 2.; *knt = 0; *ninfo = 0; *lmax = 0; *rmax = 0.; /* Begin test loop */ L10: io___6.ciunit = *nin; s_rsle(&io___6); do_lio(&c__3, &c__1, (char *)&m, (ftnlen)sizeof(integer)); do_lio(&c__3, &c__1, (char *)&n, (ftnlen)sizeof(integer)); e_rsle(); if (n == 0) { return 0; } i__1 = m; for (i__ = 1; i__ <= i__1; ++i__) { io___10.ciunit = *nin; s_rsle(&io___10); i__2 = m; for (j = 1; j <= i__2; ++j) { do_lio(&c__7, &c__1, (char *)&atmp_ref(i__, j), (ftnlen)sizeof( doublecomplex)); } e_rsle(); /* L20: */ } i__1 = n; for (i__ = 1; i__ <= i__1; ++i__) { io___13.ciunit = *nin; s_rsle(&io___13); i__2 = n; for (j = 1; j <= i__2; ++j) { do_lio(&c__7, &c__1, (char *)&btmp_ref(i__, j), (ftnlen)sizeof( doublecomplex)); } e_rsle(); /* L30: */ } i__1 = m; for (i__ = 1; i__ <= i__1; ++i__) { io___15.ciunit = *nin; s_rsle(&io___15); i__2 = n; for (j = 1; j <= i__2; ++j) { do_lio(&c__7, &c__1, (char *)&ctmp_ref(i__, j), (ftnlen)sizeof( doublecomplex)); } e_rsle(); /* L40: */ } for (imla = 1; imla <= 3; ++imla) { for (imlad = 1; imlad <= 3; ++imlad) { for (imlb = 1; imlb <= 3; ++imlb) { for (imlc = 1; imlc <= 3; ++imlc) { for (itrana = 1; itrana <= 2; ++itrana) { for (itranb = 1; itranb <= 2; ++itranb) { for (isgn = -1; isgn <= 1; isgn += 2) { if (itrana == 1) { *(unsigned char *)trana = 'N'; } if (itrana == 2) { *(unsigned char *)trana = 'C'; } if (itranb == 1) { *(unsigned char *)tranb = 'N'; } if (itranb == 2) { *(unsigned char *)tranb = 'C'; } tnrm = 0.; i__1 = m; for (i__ = 1; i__ <= i__1; ++i__) { i__2 = m; for (j = 1; j <= i__2; ++j) { i__3 = a_subscr(i__, j); i__4 = atmp_subscr(i__, j); i__5 = imla - 1; z__1.r = vm1[i__5] * atmp[i__4].r, z__1.i = vm1[i__5] * atmp[ i__4].i; a[i__3].r = z__1.r, a[i__3].i = z__1.i; /* Computing MAX */ d__1 = tnrm, d__2 = z_abs(&a_ref(i__, j)); tnrm = max(d__1,d__2); /* L50: */ } i__2 = a_subscr(i__, i__); i__3 = a_subscr(i__, i__); i__4 = imlad - 1; z__1.r = vm2[i__4] * a[i__3].r, z__1.i = vm2[i__4] * a[i__3].i; a[i__2].r = z__1.r, a[i__2].i = z__1.i; /* Computing MAX */ d__1 = tnrm, d__2 = z_abs(&a_ref(i__, i__) ); tnrm = max(d__1,d__2); /* L60: */ } i__1 = n; for (i__ = 1; i__ <= i__1; ++i__) { i__2 = n; for (j = 1; j <= i__2; ++j) { i__3 = b_subscr(i__, j); i__4 = btmp_subscr(i__, j); i__5 = imlb - 1; z__1.r = vm1[i__5] * btmp[i__4].r, z__1.i = vm1[i__5] * btmp[ i__4].i; b[i__3].r = z__1.r, b[i__3].i = z__1.i; /* Computing MAX */ d__1 = tnrm, d__2 = z_abs(&b_ref(i__, j)); tnrm = max(d__1,d__2); /* L70: */ } /* L80: */ } if (tnrm == 0.) { tnrm = 1.; } i__1 = m; for (i__ = 1; i__ <= i__1; ++i__) { i__2 = n; for (j = 1; j <= i__2; ++j) { i__3 = c___subscr(i__, j); i__4 = ctmp_subscr(i__, j); i__5 = imlc - 1; z__1.r = vm1[i__5] * ctmp[i__4].r, z__1.i = vm1[i__5] * ctmp[ i__4].i; c__[i__3].r = z__1.r, c__[i__3].i = z__1.i; i__3 = csav_subscr(i__, j); i__4 = c___subscr(i__, j); csav[i__3].r = c__[i__4].r, csav[i__3] .i = c__[i__4].i; /* L90: */ } /* L100: */ } ++(*knt); ztrsyl_(trana, tranb, &isgn, &m, &n, a, & c__10, b, &c__10, c__, &c__10, &scale, &info); if (info != 0) { ++(*ninfo); } xnrm = zlange_("M", &m, &n, c__, &c__10, dum); rmul.r = 1., rmul.i = 0.; if (xnrm > 1. && tnrm > 1.) { if (xnrm > bignum / tnrm) { d__1 = max(xnrm,tnrm); rmul.r = d__1, rmul.i = 0.; z_div(&z__1, &c_b43, &rmul); rmul.r = z__1.r, rmul.i = z__1.i; } } d__1 = -scale; z__1.r = d__1 * rmul.r, z__1.i = d__1 * rmul.i; zgemm_(trana, "N", &m, &n, &m, &rmul, a, & c__10, c__, &c__10, &z__1, csav, & c__10); d__1 = (doublereal) isgn; z__1.r = d__1 * rmul.r, z__1.i = d__1 * rmul.i; zgemm_("N", tranb, &m, &n, &n, &z__1, c__, & c__10, b, &c__10, &c_b43, csav, & c__10); res1 = zlange_("M", &m, &n, csav, &c__10, dum); /* Computing MAX */ d__1 = smlnum, d__2 = smlnum * xnrm, d__1 = max(d__1,d__2), d__2 = z_abs(&rmul) * tnrm * eps * xnrm; res = res1 / max(d__1,d__2); if (res > *rmax) { *lmax = *knt; *rmax = res; } /* L110: */ } /* L120: */ } /* L130: */ } /* L140: */ } /* L150: */ } /* L160: */ } /* L170: */ } goto L10; /* End of ZGET35 */ } /* zget35_ */ #undef c___ref #undef c___subscr #undef b_ref #undef b_subscr #undef a_ref #undef a_subscr #undef ctmp_ref #undef ctmp_subscr #undef btmp_ref #undef btmp_subscr #undef atmp_ref #undef atmp_subscr #undef csav_ref #undef csav_subscr .