#include "blaswrap.h" /* dget33.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 doublereal c_b19 = 1.; /* Subroutine */ int dget33_(doublereal *rmax, integer *lmax, integer *ninfo, integer *knt) { /* System generated locals */ doublereal d__1, d__2, d__3; /* Builtin functions */ double d_sign(doublereal *, doublereal *); /* Local variables */ static doublereal q[4] /* was [2][2] */, t[4] /* was [2][2] */; static integer i1, i2, i3, i4, j1, j2, j3; static doublereal t1[4] /* was [2][2] */, t2[4] /* was [2][2] */, cs, sn, vm[3]; static integer im1, im2, im3, im4; static doublereal wi1, wi2, wr1, wr2, val[4], eps, res, sum, tnrm; extern /* Subroutine */ int dlanv2_(doublereal *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *), dlabad_( doublereal *, doublereal *); extern doublereal dlamch_(char *); static doublereal bignum, smlnum; /* -- LAPACK test routine (version 3.1) -- Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. November 2006 Purpose ======= DGET33 tests DLANV2, a routine for putting 2 by 2 blocks into standard form. In other words, it computes a two by two rotation [[C,S];[-S,C]] where in [ C S ][T(1,1) T(1,2)][ C -S ] = [ T11 T12 ] [-S C ][T(2,1) T(2,2)][ S C ] [ T21 T22 ] either 1) T21=0 (real eigenvalues), or 2) T11=T22 and T21*T12<0 (complex conjugate eigenvalues). We also verify that the residual is small. 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 returned with INFO .NE. 0. KNT (output) INTEGER Total number of examples tested. ===================================================================== Get machine parameters */ eps = dlamch_("P"); smlnum = dlamch_("S") / eps; bignum = 1. / smlnum; dlabad_(&smlnum, &bignum); /* Set up test case parameters */ val[0] = 1.; val[1] = eps * 2. + 1.; val[2] = 2.; val[3] = 2. - eps * 4.; vm[0] = smlnum; vm[1] = 1.; vm[2] = bignum; *knt = 0; *ninfo = 0; *lmax = 0; *rmax = 0.; /* Begin test loop */ for (i1 = 1; i1 <= 4; ++i1) { for (i2 = 1; i2 <= 4; ++i2) { for (i3 = 1; i3 <= 4; ++i3) { for (i4 = 1; i4 <= 4; ++i4) { for (im1 = 1; im1 <= 3; ++im1) { for (im2 = 1; im2 <= 3; ++im2) { for (im3 = 1; im3 <= 3; ++im3) { for (im4 = 1; im4 <= 3; ++im4) { t[0] = val[i1 - 1] * vm[im1 - 1]; t[2] = val[i2 - 1] * vm[im2 - 1]; t[1] = -val[i3 - 1] * vm[im3 - 1]; t[3] = val[i4 - 1] * vm[im4 - 1]; /* Computing MAX */ d__1 = abs(t[0]), d__2 = abs(t[2]), d__1 = max(d__1,d__2), d__2 = abs(t[1]), d__1 = max(d__1,d__2), d__2 = abs(t[3]); tnrm = max(d__1,d__2); t1[0] = t[0]; t1[2] = t[2]; t1[1] = t[1]; t1[3] = t[3]; q[0] = 1.; q[2] = 0.; q[1] = 0.; q[3] = 1.; dlanv2_(t, &t[2], &t[1], &t[3], &wr1, & wi1, &wr2, &wi2, &cs, &sn); for (j1 = 1; j1 <= 2; ++j1) { res = q[j1 - 1] * cs + q[j1 + 1] * sn; q[j1 + 1] = -q[j1 - 1] * sn + q[j1 + 1] * cs; q[j1 - 1] = res; /* L10: */ } res = 0.; /* Computing 2nd power */ d__2 = q[0]; /* Computing 2nd power */ d__3 = q[2]; res += (d__1 = d__2 * d__2 + d__3 * d__3 - 1., abs(d__1)) / eps; /* Computing 2nd power */ d__2 = q[3]; /* Computing 2nd power */ d__3 = q[1]; res += (d__1 = d__2 * d__2 + d__3 * d__3 - 1., abs(d__1)) / eps; res += (d__1 = q[0] * q[1] + q[2] * q[3], abs(d__1)) / eps; for (j1 = 1; j1 <= 2; ++j1) { for (j2 = 1; j2 <= 2; ++j2) { t2[j1 + (j2 << 1) - 3] = 0.; for (j3 = 1; j3 <= 2; ++j3) { t2[j1 + (j2 << 1) - 3] += t1[j1 + (j3 << 1) - 3] * q[j3 + (j2 << 1) - 3]; /* L20: */ } /* L30: */ } /* L40: */ } for (j1 = 1; j1 <= 2; ++j1) { for (j2 = 1; j2 <= 2; ++j2) { sum = t[j1 + (j2 << 1) - 3]; for (j3 = 1; j3 <= 2; ++j3) { sum -= q[j3 + (j1 << 1) - 3] * t2[j3 + (j2 << 1) - 3]; /* L50: */ } res += abs(sum) / eps / tnrm; /* L60: */ } /* L70: */ } if (t[1] != 0. && (t[0] != t[3] || d_sign( &c_b19, &t[2]) * d_sign(&c_b19, & t[1]) > 0.)) { res += 1. / eps; } ++(*knt); if (res > *rmax) { *lmax = *knt; *rmax = res; } /* L80: */ } /* L90: */ } /* L100: */ } /* L110: */ } /* L120: */ } /* L130: */ } /* L140: */ } /* L150: */ } return 0; /* End of DGET33 */ } /* dget33_ */