/* nag_matop_real_gen_matrix_fun_num (f01elc) Example Program. * * Copyright 2013 Numerical Algorithms Group. * * Mark 24, 2013. */ #include #include #include #include #include #include #ifdef __cplusplus extern "C" { #endif static void NAG_CALL f(Integer *iflag, Integer n, const Complex z[], Complex fz[], Nag_Comm *comm); #ifdef __cplusplus } #endif int main(void) { /* Scalars */ Integer exit_status = 0; Integer i, iflag, j, n, pda; double imnorm; /* Arrays */ static double ruser[1] = {-1.0}; double *a = 0; /* Nag Types */ Nag_Comm comm; Nag_OrderType order; NagError fail; INIT_FAIL(fail); #define A(I, J) a[(J-1)*pda + I-1] order = Nag_ColMajor; /* Output preamble */ printf("nag_matop_real_gen_matrix_fun_num (f01elc) "); printf("Example Program Results\n\n"); /* For communication with user-supplied functions: */ comm.user = ruser; /* Skip heading in data file */ scanf("%*[^\n]"); /* Read in the problem size */ scanf("%ld%*[^\n]", &n); pda = n; if (!(a = NAG_ALLOC(pda*n, double))) { printf("Allocation failure\n"); exit_status = -1; goto END; } /* Read in the matrix a from data file */ for (i = 1; i <= n; i++) for (j = 1; j <= n; j++) scanf("%lf", &A(i, j)); scanf("%*[^\n]"); /* Find the matrix function using * nag_matop_real_gen_matrix_fun_num (f01elc) * Function of a real matrix */ nag_matop_real_gen_matrix_fun_num(n, a, pda, f, &comm, &iflag, &imnorm, &fail); if (fail.code != NE_NOERROR) { printf("Error from nag_matop_real_gen_matrix_fun_num (f01elc)\n%s\n", fail.message); exit_status = 1; goto END; } if (fabs(imnorm) > pow(nag_machine_precision,0.8)) { printf("\nWARNING: the error estimate returned in imnorm is larger than" " expected;\n"); printf(" the matrix solution printed below is suspect:\n"); printf(" imnorm = %13.4e.\n\n", imnorm); } /* Print solution using * nag_gen_real_mat_print (x04dac) * Print real general matrix (easy-to-use) */ nag_gen_real_mat_print(order, Nag_GeneralMatrix, Nag_NonUnitDiag, n, n, a, pda, "f(A) = cos(2A)", NULL, &fail); if (fail.code != NE_NOERROR) { printf("Error from nag_gen_real_mat_print (x04dac)\n%s\n", fail.message); exit_status = 2; goto END; } END: NAG_FREE(a); return exit_status; } static void NAG_CALL f(Integer *iflag, Integer n, const Complex z[], Complex fz[], Nag_Comm *comm) { /* Scalars */ Integer j; if (comm->user[0] == -1.0) { printf("(User-supplied callback f, first invocation.)\n"); comm->user[0] = 0.0; } for (j = 0; j < n; j++) { /* Complex representation of cos 2z */ fz[j].re = cos(2.0*z[j].re)*cosh(2.0*z[j].im); fz[j].im = -sin(2.0*z[j].re)*sinh(2.0*z[j].im); } /* Set iflag nonzero to terminate execution for any reason. */ *iflag = 0; }