#include "blaswrap.h" /* cget04.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__1 = 1; /* Subroutine */ int cget04_(integer *n, integer *nrhs, complex *x, integer * ldx, complex *xact, integer *ldxact, real *rcond, real *resid) { /* System generated locals */ integer x_dim1, x_offset, xact_dim1, xact_offset, i__1, i__2, i__3, i__4; real r__1, r__2, r__3, r__4; complex q__1, q__2; /* Builtin functions */ double r_imag(complex *); /* Local variables */ static integer i__, j, ix; static real eps, xnorm; extern integer icamax_(integer *, complex *, integer *); static real diffnm; extern doublereal slamch_(char *); /* -- LAPACK test routine (version 3.1) -- Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. November 2006 Purpose ======= CGET04 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 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 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) REAL The reciprocal of the condition number of the coefficient matrix in the system of equations. RESID (output) REAL The maximum over the NRHS solution vectors of ( norm(X-XACT) * RCOND ) / ( norm(XACT) * EPS ) ===================================================================== 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.f; return 0; } /* Exit with RESID = 1/EPS if RCOND is invalid. */ eps = slamch_("Epsilon"); if (*rcond < 0.f) { *resid = 1.f / eps; return 0; } /* Compute the maximum of norm(X - XACT) / ( norm(XACT) * EPS ) over all the vectors X and XACT . */ *resid = 0.f; i__1 = *nrhs; for (j = 1; j <= i__1; ++j) { ix = icamax_(n, &xact[j * xact_dim1 + 1], &c__1); i__2 = ix + j * xact_dim1; xnorm = (r__1 = xact[i__2].r, dabs(r__1)) + (r__2 = r_imag(&xact[ix + j * xact_dim1]), dabs(r__2)); diffnm = 0.f; i__2 = *n; for (i__ = 1; i__ <= i__2; ++i__) { i__3 = i__ + j * x_dim1; i__4 = i__ + j * xact_dim1; q__2.r = x[i__3].r - xact[i__4].r, q__2.i = x[i__3].i - xact[i__4] .i; q__1.r = q__2.r, q__1.i = q__2.i; /* Computing MAX */ r__3 = diffnm, r__4 = (r__1 = q__1.r, dabs(r__1)) + (r__2 = r_imag(&q__1), dabs(r__2)); diffnm = dmax(r__3,r__4); /* L10: */ } if (xnorm <= 0.f) { if (diffnm > 0.f) { *resid = 1.f / eps; } } else { /* Computing MAX */ r__1 = *resid, r__2 = diffnm / xnorm * *rcond; *resid = dmax(r__1,r__2); } /* L20: */ } if (*resid * eps < 1.f) { *resid /= eps; } return 0; /* End of CGET04 */ } /* cget04_ */