/* zget04.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" #include "blaswrap.h" /* Table of constant values */ static integer c__1 = 1; /* Subroutine */ int zget04_(integer *n, integer *nrhs, doublecomplex *x, integer *ldx, doublecomplex *xact, integer *ldxact, doublereal *rcond, doublereal *resid) { /* System generated locals */ integer x_dim1, x_offset, xact_dim1, xact_offset, i__1, i__2, i__3, i__4; doublereal d__1, d__2, d__3, d__4; doublecomplex z__1, z__2; /* Builtin functions */ double d_imag(doublecomplex *); /* Local variables */ integer i__, j, ix; doublereal eps, xnorm; extern doublereal dlamch_(char *); doublereal diffnm; extern integer izamax_(integer *, doublecomplex *, integer *); /* -- LAPACK test routine (version 3.1) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* ZGET04 computes the difference between a computed solution and the */ /* true solution to a system of linear equations. */ /* RESID = ( norm(X-XACT) * RCOND ) / ( norm(XACT) * EPS ), */ /* where RCOND is the reciprocal of the condition number and EPS is the */ /* machine epsilon. */ /* Arguments */ /* ========= */ /* N (input) INTEGER */ /* The number of rows of the matrices X and XACT. N >= 0. */ /* NRHS (input) INTEGER */ /* The number of columns of the matrices X and XACT. NRHS >= 0. */ /* X (input) COMPLEX*16 array, dimension (LDX,NRHS) */ /* The computed solution vectors. Each vector is stored as a */ /* column of the matrix X. */ /* LDX (input) INTEGER */ /* The leading dimension of the array X. LDX >= max(1,N). */ /* XACT (input) COMPLEX*16 array, dimension (LDX,NRHS) */ /* The exact solution vectors. Each vector is stored as a */ /* column of the matrix XACT. */ /* LDXACT (input) INTEGER */ /* The leading dimension of the array XACT. LDXACT >= max(1,N). */ /* RCOND (input) DOUBLE PRECISION */ /* The reciprocal of the condition number of the coefficient */ /* matrix in the system of equations. */ /* RESID (output) DOUBLE PRECISION */ /* The maximum over the NRHS solution vectors of */ /* ( norm(X-XACT) * RCOND ) / ( norm(XACT) * EPS ) */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Statement Functions .. */ /* .. */ /* .. Statement Function definitions .. */ /* .. */ /* .. Executable Statements .. */ /* Quick exit if N = 0 or NRHS = 0. */ /* Parameter adjustments */ x_dim1 = *ldx; x_offset = 1 + x_dim1; x -= x_offset; xact_dim1 = *ldxact; xact_offset = 1 + xact_dim1; xact -= xact_offset; /* Function Body */ if (*n <= 0 || *nrhs <= 0) { *resid = 0.; return 0; } /* Exit with RESID = 1/EPS if RCOND is invalid. */ eps = dlamch_("Epsilon"); if (*rcond < 0.) { *resid = 1. / eps; return 0; } /* Compute the maximum of */ /* norm(X - XACT) / ( norm(XACT) * EPS ) */ /* over all the vectors X and XACT . */ *resid = 0.; i__1 = *nrhs; for (j = 1; j <= i__1; ++j) { ix = izamax_(n, &xact[j * xact_dim1 + 1], &c__1); i__2 = ix + j * xact_dim1; xnorm = (d__1 = xact[i__2].r, abs(d__1)) + (d__2 = d_imag(&xact[ix + j * xact_dim1]), abs(d__2)); diffnm = 0.; i__2 = *n; for (i__ = 1; i__ <= i__2; ++i__) { i__3 = i__ + j * x_dim1; i__4 = i__ + j * xact_dim1; z__2.r = x[i__3].r - xact[i__4].r, z__2.i = x[i__3].i - xact[i__4] .i; z__1.r = z__2.r, z__1.i = z__2.i; /* Computing MAX */ d__3 = diffnm, d__4 = (d__1 = z__1.r, abs(d__1)) + (d__2 = d_imag( &z__1), abs(d__2)); diffnm = max(d__3,d__4); /* L10: */ } if (xnorm <= 0.) { if (diffnm > 0.) { *resid = 1. / eps; } } else { /* Computing MAX */ d__1 = *resid, d__2 = diffnm / xnorm * *rcond; *resid = max(d__1,d__2); } /* L20: */ } if (*resid * eps < 1.) { *resid /= eps; } return 0; /* End of ZGET04 */ } /* zget04_ */