/* nag_zgtrfs (f07cvc) Example Program. * * Copyright 2004 Numerical Algorithms Group. * * Mark 23, 2011 */ #include #include #include #include #include #include int main(void) { /* Scalars */ Integer exit_status = 0, i, j, n, nrhs, pdb, pdx; /* Arrays */ Complex *b = 0, *d = 0, *df = 0, *dl = 0, *dlf = 0, *du = 0, *du2 = 0, *duf = 0, *x = 0; double *berr = 0, *ferr = 0; Integer *ipiv = 0; /* Nag Types */ NagError fail; Nag_OrderType order; #ifdef NAG_COLUMN_MAJOR #define B(I, J) b[(J - 1) * pdb + I - 1] order = Nag_ColMajor; #else #define B(I, J) b[(I - 1) * pdb + J - 1] order = Nag_RowMajor; #endif INIT_FAIL(fail); printf("nag_zgtrfs (f07cvc) Example Program Results\n\n"); /* Skip heading in data file */ scanf("%*[^\n]"); scanf("%ld%ld%*[^\n]", &n, &nrhs); if (n < 0 || nrhs < 0) { printf("Invalid n or nrhs\n"); exit_status = 1; goto END; } if (!(b = NAG_ALLOC(n * nrhs, Complex)) || !(d = NAG_ALLOC(n, Complex)) || !(df = NAG_ALLOC(n, Complex)) || !(dl = NAG_ALLOC(n - 1, Complex)) || !(dlf = NAG_ALLOC(n - 1, Complex)) || !(du = NAG_ALLOC(n - 1, Complex)) || !(du2 = NAG_ALLOC(n - 2, Complex)) || !(duf = NAG_ALLOC(n - 1, Complex)) || !(x = NAG_ALLOC(n * nrhs, Complex)) || !(berr = NAG_ALLOC(nrhs, double)) || !(ferr = NAG_ALLOC(nrhs, double)) || !(ipiv = NAG_ALLOC(n, Integer))) { printf("Allocation failure\n"); exit_status = -1; goto END; } #ifdef NAG_COLUMN_MAJOR pdb = n; pdx = n; #else pdb = nrhs; pdx = nrhs; #endif /* Read the tridiagonal matrix A from data file */ for (i = 0; i < n - 1; ++i) scanf(" ( %lf , %lf )", &du[i].re, &du[i].im); scanf("%*[^\n]"); for (i = 0; i < n; ++i) scanf(" ( %lf , %lf )", &d[i].re, &d[i].im); scanf("%*[^\n]"); for (i = 0; i < n - 1; ++i) scanf(" ( %lf , %lf )", &dl[i].re, &dl[i].im); scanf("%*[^\n]"); /* Read the right hand matrix B */ for (i = 1; i <= n; ++i) for (j = 1; j <= nrhs; ++j) scanf(" ( %lf , %lf )", &B(i, j).re, &B(i, j).im); scanf("%*[^\n]"); /* Copy A into duf, df and dlf */ for (i = 0; i < n - 1; ++i) { duf[i].re = du[i].re, duf[i].im = du[i].im; df[i].re = d[i].re, df[i].im = d[i].im; dlf[i].re = dl[i].re, dlf[i].im = dl[i].im; } df[n - 1].re = d[n - 1].re, df[n - 1].im = d[n - 1].im; /* copy B into X using nag_zge_copy (f16tfc). */ nag_zge_copy(order, Nag_NoTrans, n, nrhs, b, pdb, x, pdx, &fail); if (fail.code != NE_NOERROR) { printf("Error from nag_zge_copy (f16tfc).\n%s\n", fail.message); exit_status = 1; goto END; } /* Factorize the copy of the tridiagonal matrix A using * nag_zgttrf (f07crc). */ nag_zgttrf(n, dlf, df, duf, du2, ipiv, &fail); if (fail.code != NE_NOERROR) { printf("Error from nag_zgttrf (f07crc).\n%s\n", fail.message); exit_status = 1; goto END; } /* Solve the equations AX = B using nag_zgttrs (f07csc). */ nag_zgttrs(order, Nag_NoTrans, n, nrhs, dlf, df, duf, du2, ipiv, x, pdx, &fail); if (fail.code != NE_NOERROR) { printf("Error from nag_zgttrs (f07csc).\n%s\n", fail.message); exit_status = 1; goto END; } /* Improve the solution and compute error estimates using * nag_zgtrfs (f07cvc). */ nag_zgtrfs(order, Nag_NoTrans, n, nrhs, dl, d, du, dlf, df, duf, du2, ipiv, b, pdb, x, pdx, ferr, berr, &fail); if (fail.code != NE_NOERROR) { printf("Error from nag_zgtrfs (f07cvc).\n%s\n", fail.message); exit_status = 1; goto END; } /* Print the solution using nag_gen_complx_mat_print_comp (x04dbc). */ fflush(stdout); nag_gen_complx_mat_print_comp(order, Nag_GeneralMatrix, Nag_NonUnitDiag, n, nrhs, x, pdx, Nag_BracketForm, "%7.4f", "Solution(s)", Nag_IntegerLabels, 0, Nag_IntegerLabels, 0, 80, 0, 0, &fail); if (fail.code != NE_NOERROR) { printf("Error from nag_gen_complx_mat_print_comp (x04dbc).\n%s\n", fail.message); exit_status = 1; goto END; } /* Print the forward and backward error estimates */ printf("\nBackward errors (machine-dependent)\n"); for (j = 0; j < nrhs; ++j) printf("%11.1e%s", berr[j], j%7 == 6?"\n":" "); printf("\n\nEstimated forward error bounds (machine-dependent)\n"); for (j = 0; j < nrhs; ++j) printf("%11.1e%s", ferr[j], j%7 == 6?"\n":" "); printf("\n"); END: if (b) NAG_FREE(b); if (berr) NAG_FREE(berr); if (d) NAG_FREE(d); if (df) NAG_FREE(df); if (dl) NAG_FREE(dl); if (dlf) NAG_FREE(dlf); if (du) NAG_FREE(du); if (du2) NAG_FREE(du2); if (duf) NAG_FREE(duf); if (ferr) NAG_FREE(ferr); if (x) NAG_FREE(x); if (ipiv) NAG_FREE(ipiv); return exit_status; } #undef B