/* nag_sparse_sym_chol_sol (f11jcc) Example Program. * * Copyright 1998 Numerical Algorithms Group. * * Mark 5, 1998. * */ #include #include #include #include #include int main(void) { double dtol; double *a=0, *b=0; double *x=0; double rnorm, dscale; double tol; Integer *icol=0; Integer *ipiv=0, nnzc, *irow=0, *istr=0; Integer i; Integer n; Integer lfill, npivm; Integer maxitn; Integer itn; Integer nnz; Integer num; Nag_SparseSym_Method method; Nag_SparseSym_Piv pstrat; Nag_SparseSym_Fact mic; Nag_Sparse_Comm comm; char char_enum[20]; Vprintf("nag_sparse_sym_chol_sol (f11jcc) Example Program Results\n"); /* Skip heading in data file */ Vscanf(" %*[^\n]"); /* Read algorithmic parameters */ Vscanf("%ld%*[^\n]",&n); Vscanf("%ld%*[^\n]",&nnz); Vscanf("%ld%lf%*[^\n]",&lfill, &dtol); Vscanf("%s%*[^\n]",char_enum); if (!strcmp(char_enum, "CG")) method = Nag_SparseSym_CG; else if (!strcmp(char_enum, "Lanczos")) method = Nag_SparseSym_Lanczos; else { Vprintf("Unrecognised string for method enum representation.\n"); return EXIT_FAILURE; } Vscanf("%s%lf%*[^\n]",char_enum, &dscale); if (!strcmp(char_enum, "ModFact")) mic = Nag_SparseSym_ModFact; else if (!strcmp(char_enum, "UnModFact")) mic = Nag_SparseSym_UnModFact; else { Vprintf("Unrecognised string for mic enum representation.\n"); return EXIT_FAILURE; } Vscanf("%s%*[^\n]",char_enum); if (!strcmp(char_enum, "NoPiv")) pstrat = Nag_SparseSym_NoPiv; else if (!strcmp(char_enum, "MarkPiv")) pstrat = Nag_SparseSym_MarkPiv; else if (!strcmp(char_enum, "UserPiv")) pstrat = Nag_SparseSym_UserPiv; else { Vprintf("Unrecognised string for pstrat enum representation.\n"); return EXIT_FAILURE; } Vscanf("%lf%ld%*[^\n]",&tol, &maxitn); /* Read the matrix a */ num = 2 * nnz; irow = NAG_ALLOC(num,Integer); icol = NAG_ALLOC(num,Integer); a = NAG_ALLOC(num,double); b = NAG_ALLOC(n,double); x = NAG_ALLOC(n,double); istr = NAG_ALLOC(n+1,Integer); ipiv = NAG_ALLOC(num,Integer); if (!irow || !icol || !a || !x || !istr ||!ipiv) { Vprintf("Allocation failure\n"); return EXIT_FAILURE; } for (i = 1; i <= nnz; ++i) Vscanf("%lf%ld%ld%*[^\n]",&a[i-1], &irow[i-1], &icol[i-1]); /* Read right-hand side vector b and initial approximate solution x */ for (i = 1; i <= n; ++i) Vscanf("%lf",&b[i-1]); Vscanf(" %*[^\n]"); for (i = 1; i <= n; ++i) Vscanf("%lf",&x[i-1]); Vscanf("%*[^\n]"); /* Calculate incomplete Cholesky factorization */ /* nag_sparse_sym_chol_fac (f11jac). * Incomplete Cholesky factorization (symmetric) */ nag_sparse_sym_chol_fac(n, nnz, &a, &num, &irow, &icol, lfill, dtol, mic, dscale, pstrat, ipiv, istr, &nnzc, &npivm, &comm, NAGERR_DEFAULT); /* Solve Ax = b */ /* nag_sparse_sym_chol_sol (f11jcc). * Solver with incomplete Cholesky preconditioning * (symmetric) */ nag_sparse_sym_chol_sol(method, n, nnz, a, num, irow, icol, ipiv, istr, b, tol, maxitn, x, &rnorm, &itn, &comm, NAGERR_DEFAULT); Vprintf(" %s%10ld%s\n","Converged in",itn," iterations"); Vprintf(" %s%16.3e\n","Final residual norm =",rnorm); /* Output x */ for (i = 1; i <= n; ++i) Vprintf(" %16.4e\n",x[i-1]); NAG_FREE(irow); NAG_FREE(icol); NAG_FREE(a); NAG_FREE(b); NAG_FREE(x); NAG_FREE(ipiv); NAG_FREE(istr); return EXIT_SUCCESS; }