#include "blaswrap.h" /* sget35.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" /* Table of constant values */ static integer c__6 = 6; static real c_b35 = 1.f; /* Subroutine */ int sget35_(real *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; real r__1, r__2, r__3; /* Builtin functions */ double sqrt(doublereal), sin(doublereal); /* Local variables */ static real a[36] /* was [6][6] */, b[36] /* was [6][6] */, c__[36] /* was [6][6] */; static integer i__, j, m, n; static real cc[36] /* was [6][6] */, vm1[3], vm2[3]; static integer ima, imb; static real dum[1], eps, res, res1; static integer info; static real cnrm; static integer isgn; static real rmul, tnrm, xnrm, scale; static char trana[1], tranb[1]; extern /* Subroutine */ int sgemm_(char *, char *, integer *, integer *, integer *, real *, real *, integer *, real *, integer *, real *, real *, integer *); static integer imlda1, imlda2, imldb1; extern /* Subroutine */ int slabad_(real *, real *); extern doublereal slamch_(char *), slange_(char *, integer *, integer *, real *, integer *, real *); static integer imloff, itrana, itranb; static real bignum, smlnum; extern /* Subroutine */ int strsyl_(char *, char *, integer *, integer *, integer *, real *, integer *, real *, integer *, real *, integer * , real *, integer *); /* -- LAPACK test routine (version 3.1) -- Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. November 2006 Purpose ======= SGET35 tests STRSYL, 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) REAL 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 = slamch_("P"); smlnum = slamch_("S") * 4.f / eps; bignum = 1.f / smlnum; slabad_(&smlnum, &bignum); /* Set up test case parameters */ vm1[0] = sqrt(smlnum); vm1[1] = 1.f; vm1[2] = sqrt(bignum); vm2[0] = 1.f; vm2[1] = eps * 2.f + 1.f; vm2[2] = 2.f; *knt = 0; *ninfo = 0; *lmax = 0; *rmax = 0.f; /* 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.f; i__1 = m; for (i__ = 1; i__ <= i__1; ++i__) { i__2 = m; for (j = 1; j <= i__2; ++j) { a[i__ + j * 6 - 7] = (real) ival[i__ + (j + ima * 6) * 6 - 43]; if ((i__3 = i__ - j, abs(i__3)) <= 1) { a[i__ + j * 6 - 7] *= vm1[imlda1 - 1]; a[i__ + j * 6 - 7] *= vm2[imlda2 - 1]; } else { a[i__ + j * 6 - 7] *= vm1[imloff - 1]; } /* Computing MAX */ r__2 = tnrm, r__3 = (r__1 = a[i__ + j * 6 - 7], dabs(r__1)); tnrm = dmax(r__2,r__3); /* L10: */ } /* L20: */ } i__1 = n; for (i__ = 1; i__ <= i__1; ++i__) { i__2 = n; for (j = 1; j <= i__2; ++j) { b[i__ + j * 6 - 7] = (real) ival[i__ + (j + imb * 6) * 6 - 43]; if ((i__3 = i__ - j, abs(i__3)) <= 1) { b[i__ + j * 6 - 7] *= vm1[imldb1 - 1]; } else { b[i__ + j * 6 - 7] *= vm1[imloff - 1]; } /* Computing MAX */ r__2 = tnrm, r__3 = (r__1 = b[i__ + j * 6 - 7], dabs(r__1)); tnrm = dmax(r__2,r__3); /* L30: */ } /* L40: */ } cnrm = 0.f; i__1 = m; for (i__ = 1; i__ <= i__1; ++i__) { i__2 = n; for (j = 1; j <= i__2; ++j) { c__[i__ + j * 6 - 7] = sin((real) (i__ * j)); /* Computing MAX */ r__1 = cnrm, r__2 = c__[i__ + j * 6 - 7]; cnrm = dmax(r__1,r__2); cc[i__ + j * 6 - 7] = c__[i__ + j * 6 - 7]; /* L50: */ } /* L60: */ } ++(*knt); strsyl_(trana, tranb, &isgn, &m, &n, a, &c__6, b, &c__6, c__, & c__6, &scale, &info); if (info != 0) { ++(*ninfo); } xnrm = slange_("M", &m, &n, c__, & c__6, dum); rmul = 1.f; if (xnrm > 1.f && tnrm > 1.f) { if (xnrm > bignum / tnrm) { rmul = 1.f / dmax(xnrm,tnrm); } } r__1 = -scale * rmul; sgemm_(trana, "N", &m, &n, &m, &rmul, a, &c__6, c__, &c__6, &r__1, cc, &c__6); r__1 = (real) isgn * rmul; sgemm_("N", tranb, &m, &n, &n, &r__1, c__, &c__6, b, &c__6, &c_b35, cc, &c__6); res1 = slange_("M", &m, &n, cc, &c__6, dum); /* Computing MAX */ r__1 = smlnum, r__2 = smlnum * xnrm, r__1 = max(r__1,r__2), r__2 = rmul * tnrm * eps * xnrm; res = res1 / dmax(r__1,r__2); if (res > *rmax) { *lmax = *knt; *rmax = res; } /* L70: */ } /* L80: */ } /* L90: */ } /* L100: */ } /* L110: */ } /* L120: */ } /* L130: */ } /* L140: */ } /* L150: */ } return 0; /* End of SGET35 */ } /* sget35_ */