ALL: Add flint

2014-05-19 00:03:37 +02:00
parent a15ef46ea6
commit d51d8e3652
3752 changed files with 446416 additions and 0 deletions
--- a/external/flint-2.4.3/arith/test/t-euler_phi.c
+++ b/external/flint-2.4.3/arith/test/t-euler_phi.c
@@ -0,0 +1,118 @@
+/*=============================================================================
+
+    This file is part of FLINT.
+
+    FLINT is free software; you can redistribute it and/or modify
+    it under the terms of the GNU General Public License as published by
+    the Free Software Foundation; either version 2 of the License, or
+    (at your option) any later version.
+
+    FLINT is distributed in the hope that it will be useful,
+    but WITHOUT ANY WARRANTY; without even the implied warranty of
+    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+    GNU General Public License for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with FLINT; if not, write to the Free Software
+    Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301 USA
+
+=============================================================================*/
+/******************************************************************************
+
+    Copyright (C) 2010 Fredrik Johansson
+
+******************************************************************************/
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <limits.h>
+#include <gmp.h>
+#include "flint.h"
+#include "arith.h"
+#include "ulong_extras.h"
+#include "profiler.h"
+
+
+int main(void)
+{
+    slong i;
+    ulong n;
+    fmpz_t x, y, z;
+    FLINT_TEST_INIT(state);
+
+    flint_printf("euler_phi....");
+    fflush(stdout);
+
+    fmpz_init(x);
+    fmpz_init(y);
+    fmpz_init(z);
+    
+
+    for (i = 0; i < 100; i++)
+    {
+        fmpz_set_ui(x, i);
+        arith_euler_phi(y, x);
+        arith_euler_phi(x, x);
+        fmpz_set_ui(z, n_euler_phi(i));
+        if (!fmpz_equal(x, y) || !fmpz_equal(x, z))
+        {
+            flint_printf("FAIL: %wd\n", i);
+            abort();
+        }
+    }
+
+    /* Aliasing test */
+    for (i = 0; i < 1000; i++)
+    {
+        fmpz_randtest(x, state, FLINT_BITS);
+        fmpz_randtest(y, state, 5);
+        fmpz_pow_ui(y, y, n_randtest(state) % 100);
+        fmpz_mul(x, x, y);
+        fmpz_set(z, x);
+        arith_euler_phi(y, x);
+        arith_euler_phi(x, x);
+        if (!fmpz_equal(x, y))
+        {
+            flint_printf("FAIL: ");
+            fmpz_print(z);
+            flint_printf("\n");
+            abort();
+        }
+    }
+
+    /* Power of a single prime, phi(p^n) = (p-1) * p^(n-1) */
+    for (i = 0; i < 100; i++)
+    {
+        n = (n_randtest(state) % 100) + 1;
+        fmpz_set_ui(x, n_nth_prime(i+1));
+        fmpz_pow_ui(x, x, n);
+        arith_euler_phi(x, x);
+        fmpz_set_ui(y, n_nth_prime(i+1));
+        fmpz_pow_ui(y, y, n-1);
+        fmpz_mul_ui(y, y, n_nth_prime(i+1)-1);
+        if (!fmpz_equal(x, y))
+        {
+            flint_printf("FAIL: %wu ^ %wu\n", n_nth_prime(i+1), n);
+        }
+    }
+
+    /* Something nontrivial */
+    fmpz_set_str(x, "10426024348053113487152988625265848110501553295256578345594388516660144", 10);
+    fmpz_set_str(y, "2265085829098571747262267425315881590169106756213617459200000000000000", 10);
+    arith_euler_phi(x, x);
+    if (!fmpz_equal(x, y))
+    {
+        flint_printf("FAIL: special test value\n");
+        abort();
+    }
+
+    
+
+    fmpz_clear(x);
+    fmpz_clear(y);
+    fmpz_clear(z);
+
+    FLINT_TEST_CLEANUP(state);
+    flint_printf("PASS\n");
+    return 0;
+}