/* nag_ztrsyl (f08qvc) Example Program. * * Copyright 2001 Numerical Algorithms Group. * * Mark 7, 2001. */ #include #include #include #include #include int main(int argc, char *argv[]) { FILE *fpin, *fpout; char *outfile = 0; /* Scalars */ Integer i, j, m, n, pda, pdb, pdc; Integer exit_status = 0; double scale; NagError fail; Nag_OrderType order; /* Arrays */ Complex *a = 0, *b = 0, *c = 0; #ifdef NAG_COLUMN_MAJOR #define A(I, J) a[(J-1)*pda + I - 1] #define B(I, J) b[(J-1)*pdb + I - 1] #define C(I, J) c[(J-1)*pdc + I - 1] order = Nag_ColMajor; #else #define A(I, J) a[(I-1)*pda + J - 1] #define B(I, J) b[(I-1)*pdb + J - 1] #define C(I, J) c[(I-1)*pdc + J - 1] order = Nag_RowMajor; #endif INIT_FAIL(fail); /* Check for command-line IO options */ fpin = nag_example_file_io(argc, argv, "-data", NULL); fpout = nag_example_file_io(argc, argv, "-results", NULL); (void) nag_example_file_io(argc, argv, "-nag_write", &outfile); fprintf(fpout, "nag_ztrsyl (f08qvc) Example Program Results\n\n"); /* Skip heading in data file */ fscanf(fpin, "%*[^\n] "); fscanf(fpin, "%ld%ld%*[^\n] ", &m, &n); #ifdef NAG_COLUMN_MAJOR pda = m; pdb = n; pdc = m; #else pda = m; pdb = n; pdc = n; #endif /* Allocate memory */ if (!(a = NAG_ALLOC(m * m, Complex)) || !(b = NAG_ALLOC(n * m, Complex)) || !(c = NAG_ALLOC(m * n, Complex))) { fprintf(fpout, "Allocation failure\n"); exit_status = -1; goto END; } /* Read A, B and C from data file */ for (i = 1; i <= m; ++i) { for (j = 1; j <= m; ++j) fscanf(fpin, " ( %lf , %lf ) ", &A(i, j).re, &A(i, j).im); } fscanf(fpin, "%*[^\n] "); for (i = 1; i <= n; ++i) { for (j = 1; j <= n; ++j) fscanf(fpin, " ( %lf , %lf ) ", &B(i, j).re, &B(i, j).im); } fscanf(fpin, "%*[^\n] "); for (i = 1; i <= m; ++i) { for (j = 1; j <= n; ++j) fscanf(fpin, " ( %lf , %lf ) ", &C(i, j).re, &C(i, j).im); } fscanf(fpin, "%*[^\n] "); /* Reorder the Schur factorization T */ /* nag_ztrsyl (f08qvc). * Solve complex Sylvester matrix equation AX~+~XB~=~C, A * and B are upper triangular or conjugate-transposes */ nag_ztrsyl(order, Nag_NoTrans, Nag_NoTrans, Nag_Plus, m, n, a, pda, b, pdb, c, pdc, &scale, &fail); if (fail.code != NE_NOERROR) { fprintf(fpout, "Error from nag_ztrsyl (f08qvc).\n%s\n", fail.message); exit_status = 1; goto END; } /* Print the solution matrix X stored in C */ /* nag_gen_complx_mat_print_comp (x04dbc). * Print complex general matrix (comprehensive) */ if (outfile) fclose(fpout); nag_gen_complx_mat_print_comp(order, Nag_GeneralMatrix, Nag_NonUnitDiag, m, n, c, pdc, Nag_BracketForm, "%7.4f", "Solution matrix X", Nag_IntegerLabels, 0, Nag_IntegerLabels, 0, 80, 0, outfile, &fail); if (outfile && !(fpout = fopen(outfile, "a"))) { exit_status = 2; goto END; } if (fail.code != NE_NOERROR) { fprintf(fpout, "Error from nag_gen_complx_mat_print_comp (x04dbc).\n%s\n", fail.message); exit_status = 1; goto END; } fprintf(fpout, "\n SCALE = %11.2e\n", scale); END: if (fpin != stdin) fclose(fpin); if (fpout != stdout) fclose(fpout); if (a) NAG_FREE(a); if (b) NAG_FREE(b); if (c) NAG_FREE(c); return exit_status; }