/* nag_matop_complex_gen_matrix_cond_std (f01kac) Example Program. * * Copyright 2013 Numerical Algorithms Group. * * Mark 24, 2013. */ #include #include #include #include #include #include #define A(I,J) a[J*pda + I] int main(void) { /* Scalars */ Integer exit_status = 0; Integer i, j, n, pda; double conda, cond_rel, eps, norma, normfa; /* Arrays */ Complex *a = 0; char nag_enum_arg[100]; /* Nag Types */ Nag_OrderType order = Nag_ColMajor; Nag_MatFunType fun; NagError fail; INIT_FAIL(fail); /* Output preamble */ printf("nag_matop_complex_gen_matrix_cond_std (f01kac) "); printf("Example Program Results\n\n"); fflush(stdout); /* Skip heading in data file */ scanf("%*[^\n] "); /* Read in the problem size and the required function */ scanf("%ld%99s%*[^\n]", &n, nag_enum_arg); pda = n; if (!(a = NAG_ALLOC((pda)*(n), Complex))) { printf("Allocation failure\n"); exit_status = -1; goto END; } /* nag_enum_name_to_value (x04nac) * Converts Nag enum member name to value */ fun = (Nag_MatFunType) nag_enum_name_to_value(nag_enum_arg); /* Read in the matrix A from data file */ for (i = 0; i < n; i++) for (j = 0; j < n; j++) scanf(" ( %lf , %lf ) ", &A(i,j).re, &A(i,j).im); scanf("%*[^\n] "); /* Print matrix A using nag_gen_complx_mat_print (x04dac) * Print complex general matrix (easy-to-use) */ nag_gen_complx_mat_print (order, Nag_GeneralMatrix, Nag_NonUnitDiag, n, n, a, pda, "A", NULL, &fail); if (fail.code != NE_NOERROR) { printf("Error from nag_gen_complx_mat_print (x04dac)\n%s\n", fail.message); exit_status = 2; goto END; } /* Find absolute condition number estimate using * nag_matop_complex_gen_matrix_cond_std (f01kac) * Condition number for the exponential, logarithm, sine, cosine, * sinh or cosh of a complex matrix */ nag_matop_complex_gen_matrix_cond_std (fun, n, a, pda, &conda, &norma, &normfa, &fail); if (fail.code != NE_NOERROR) { printf("Error from nag_matop_complex_gen_matrix_cond_std (f01kac)\n%s\n", fail.message); exit_status = 1; goto END; } /* Print absolute condition number estimate */ printf("\nF(A) = %s(A)\n",nag_enum_arg); printf("Estimated absolute condition number is: %7.2f\n",conda); /* nag_machine_precision (x02ajc) The machine precision */ eps = nag_machine_precision; /* Find relative condition number estimate */ if ( normfa>eps) { cond_rel = conda * norma/normfa; printf("Estimated relative condition number is: %7.2f\n",cond_rel); } else { printf("The estimated norm of f(A) is effectively zero"); printf("and so the relative condition number is undefined.\n"); } END: NAG_FREE(a); return exit_status; }