/* nag_matop_real_gen_matrix_fun_usd (f01emc) Example Program. * * Copyright 2011, Numerical Algorithms Group. * * Mark 23, 2011. */ #include #include #include #include #include #include #ifdef __cplusplus extern "C" { #endif static void NAG_CALL f(Integer m, Integer *iflag, Integer nz, 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 */ Integer iuser[1]; double user[1]; double *a = 0; /* Nag Types */ Nag_Comm comm; Nag_OrderType order; NagError fail; INIT_FAIL(fail); comm.user = user; comm.iuser = iuser; user[0] = 0; iuser[0] = 0; #ifdef NAG_COLUMN_MAJOR #define A(I, J) a[(J-1)*pda + I-1] order = Nag_ColMajor; #else #define A(I, J) a[(I-1)*pda + J-1] order = Nag_RowMajor; #endif /* Output preamble */ printf("nag_matop_real_gen_matrix_fun_usd (f01emc) "); printf("Example Program Results\n\n"); /* 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_usd (f01emc) * Function of a real matrix */ nag_matop_real_gen_matrix_fun_usd(order, n, a, pda, f, &comm, &iflag, &imnorm, &fail); if (fail.code != NE_NOERROR) { printf("Error from nag_matop_real_gen_matrix_fun_usd (f01emc)\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)", 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: if (a) NAG_FREE(a); return exit_status; } static void NAG_CALL f(Integer m, Integer *iflag, Integer nz, const Complex z[], Complex fz[], Nag_Comm *comm) { /* Scalars */ Integer j; for (j = 0; j < nz; j++) { /* The m^th derivative of exp(2z) for complex z */ fz[j].re = pow(2.0,m)*exp(2.0*z[j].re)*cos(2.0*z[j].im); fz[j].im = pow(2.0,m)*exp(2.0*z[j].re)*sin(2.0*z[j].im); } }