/* nag_det_complex_gen (f03bnc) Example Program. * * Copyright 2011, Numerical Algorithms Group. * * Mark 23, 2011. */ #include #include #include #include #include #include #include int main(void) { /* Scalars */ Integer exit_status = 0; Integer i, j, n, pda; Complex d; /* Arrays */ Integer *ipiv = 0; Integer id[2]; Complex *a = 0; /* NAG types */ NagError fail; Nag_OrderType order; Nag_MatrixType matrix = Nag_GeneralMatrix; Nag_DiagType diag = Nag_NonUnitDiag; printf("nag_det_complex_gen (f03bnc) Example Program Results\n"); /* Skip heading in data file */ scanf("%*[^\n]"); scanf("%ld%*[^\n]", &n); pda = n; if (!(a = NAG_ALLOC((n)*(n), Complex)) || !(ipiv = NAG_ALLOC((n), Integer))) { printf("Allocation failure\n"); exit_status = -1; goto END; } /* Define matrix element A_ij in terms of elements of array a[k] */ #ifdef NAG_COLUMN_MAJOR order = Nag_ColMajor; #define A(I, J) a[(J-1)*pda+(I-1)] #else order = Nag_RowMajor; #define A(J, I) a[(J-1)*pda+(I-1)] #endif for (i = 1; i <= n; i++) for (j = 1; j <= n; j++) scanf(" ( %lf , %lf ) ", &A(i,j).re, &A(i,j).im); scanf("%*[^\n] "); INIT_FAIL(fail); /* Factorize A using nag_zgetrf (f07arc) * LU factorization of complex m by n matrix */ nag_zgetrf(order, n, n, a, pda, ipiv, &fail); if (fail.code != NE_NOERROR) { printf("%s\n", fail.message); exit_status = 1; goto END; } /* nag_gen_complx_mat_print (x04dac) * Print complex general matrix (easy-to-use) */ fflush(stdout); nag_gen_complx_mat_print(order, matrix, diag, n, n, a, pda, "Array A after factorization", NULL, &fail); if (fail.code != NE_NOERROR) { printf("%s\n", fail.message); exit_status = 2; goto END; } printf("Pivots:\n "); for (j = 0; j < n; j++) printf("%12" NAG_IFMT, ipiv[j]); printf("\n"); /* nag_det_complex_gen (f03bnc) - Determinant of complex matrix */ nag_det_complex_gen(order, n, a, pda, ipiv, &d, id, &fail); if (fail.code != NE_NOERROR) { printf("%s\n", fail.message); exit_status = 3; goto END; } printf("d = (%9.5f, %9.5f) id = (%2ld, %2ld)\n", d.re, d.im, id[0], id[1]); printf("Value of determinant = (%12.5e, %12.5e)\n", pow(2.0, id[0])*(d.re), pow(2.0, id[1])*(d.im)); END: if (a) NAG_FREE(a); if (ipiv) NAG_FREE(ipiv); return exit_status; }