185 lines
4.7 KiB
C
185 lines
4.7 KiB
C
/*=============================================================================
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This file is part of FLINT.
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FLINT is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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FLINT is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with FLINT; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2011 Fredrik Johansson
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Copyright (C) 2013 Mike Hansen
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******************************************************************************/
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#ifdef T
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#include "templates.h"
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#include <stdio.h>
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#include <stdlib.h>
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#include "ulong_extras.h"
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void
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perm(TEMPLATE(T, mat_t) A, slong * P)
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{
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slong i;
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TEMPLATE(T, struct) ** tmp;
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if (A->c == 0 || A->r == 0)
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return;
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tmp = flint_malloc(sizeof(TEMPLATE(T, struct) *) * A->r);
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for (i = 0; i < A->r; i++)
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tmp[P[i]] = A->rows[i];
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for (i = 0; i < A->r; i++)
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A->rows[i] = tmp[i];
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flint_free(tmp);
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}
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void
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check(slong * P, TEMPLATE(T, mat_t) LU, const TEMPLATE(T, mat_t) A, slong rank,
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const TEMPLATE(T, ctx_t) ctx)
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{
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TEMPLATE(T, mat_t) B, L, U;
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slong m, n, i, j;
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m = A->r;
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n = A->c;
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TEMPLATE(T, mat_init) (B, m, n, ctx);
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TEMPLATE(T, mat_init) (L, m, m, ctx);
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TEMPLATE(T, mat_init) (U, m, n, ctx);
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rank = FLINT_ABS(rank);
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for (i = rank; i < FLINT_MIN(m, n); i++)
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{
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for (j = i; j < n; j++)
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{
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if (!TEMPLATE(T, is_zero) (TEMPLATE(T, mat_entry) (LU, i, j), ctx))
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{
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printf("FAIL: wrong shape!\n");
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abort();
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}
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}
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}
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for (i = 0; i < m; i++)
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{
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for (j = 0; j < FLINT_MIN(i, n); j++)
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TEMPLATE(T, mat_entry_set) (L, i, j,
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TEMPLATE(T, mat_entry) (LU, i, j),
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ctx);
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if (i < rank)
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TEMPLATE(T, one) (TEMPLATE(T, mat_entry) (L, i, i), ctx);
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for (j = i; j < n; j++)
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TEMPLATE(T, mat_entry_set) (U, i, j,
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TEMPLATE(T, mat_entry) (LU, i, j),
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ctx);
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}
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TEMPLATE(T, mat_mul) (B, L, U, ctx);
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perm(B, P);
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if (!TEMPLATE(T, mat_equal) (A, B, ctx))
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{
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printf("FAIL\n");
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printf("A:\n");
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TEMPLATE(T, mat_print_pretty) (A, ctx);
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printf("LU:\n");
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TEMPLATE(T, mat_print_pretty) (LU, ctx);
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printf("B:\n");
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TEMPLATE(T, mat_print_pretty) (B, ctx);
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abort();
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}
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TEMPLATE(T, mat_clear) (B, ctx);
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TEMPLATE(T, mat_clear) (L, ctx);
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TEMPLATE(T, mat_clear) (U, ctx);
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}
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int
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main(void)
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{
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slong i;
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FLINT_TEST_INIT(state);
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printf("lu_recursive....");
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fflush(stdout);
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for (i = 0; i < 100; i++)
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{
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TEMPLATE(T, ctx_t) ctx;
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TEMPLATE(T, mat_t) A, LU;
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slong m, n, r, d, rank;
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slong *P;
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TEMPLATE(T, ctx_randtest) (ctx, state);
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m = n_randint(state, 20);
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n = n_randint(state, 20);
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for (r = 0; r <= FLINT_MIN(m, n); r++)
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{
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TEMPLATE(T, mat_init) (A, m, n, ctx);
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TEMPLATE(T, mat_randrank) (A, state, r, ctx);
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if (n_randint(state, 2))
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{
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d = n_randint(state, 2 * m * n + 1);
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TEMPLATE(T, mat_randops) (A, d, state, ctx);
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}
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TEMPLATE(T, mat_init_set) (LU, A, ctx);
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P = flint_malloc(sizeof(slong) * m);
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rank = TEMPLATE(T, mat_lu_recursive) (P, LU, 0, ctx);
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if (r != rank)
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{
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printf("FAIL:\n");
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printf("wrong rank!\n");
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printf("A:");
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TEMPLATE(T, mat_print_pretty) (A, ctx);
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printf("LU:");
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TEMPLATE(T, mat_print_pretty) (LU, ctx);
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abort();
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}
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check(P, LU, A, rank, ctx);
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TEMPLATE(T, mat_clear) (A, ctx);
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TEMPLATE(T, mat_clear) (LU, ctx);
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flint_free(P);
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}
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TEMPLATE(T, ctx_clear) (ctx);
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}
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FLINT_TEST_CLEANUP(state);
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printf("PASS\n");
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return 0;
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}
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#endif
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