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/landau_function_vec.c
+++ b/external/flint-2.4.3/arith/landau_function_vec.c
@@ -0,0 +1,68 @@
+/*=============================================================================
+
+    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) 2011 Fredrik Johansson
+
+******************************************************************************/
+
+#include <math.h>
+#include "arith.h"
+
+void arith_landau_function_vec(fmpz * res, slong len)
+{
+    mp_limb_t p, pmax;
+    mp_limb_t pk, pkhi;
+    fmpz_t a;
+    ulong k, n;
+
+    if (len < 1)
+        return;
+
+    for (k = 0; k < len; k++)
+        fmpz_one(res + k);
+
+    pmax = 1.328 * sqrt(len*log(len) + 1);
+
+    fmpz_init(a);
+
+    for (p = UWORD(2); p <= pmax; p = n_nextprime(p, 0))
+    {
+        for (n = len - 1; n >= p; n--)
+        {
+            pk = p;
+            pkhi = UWORD(0);
+
+            for (k = 1; k <= len; k++)
+            {
+                if (pk > n || pkhi)
+                    break;
+
+                fmpz_mul_ui(a, res + n - pk, pk);
+                if (fmpz_cmp(res + n, a) < 0)
+                    fmpz_set(res + n, a);
+
+                umul_ppmm(pkhi, pk, pk, p);
+            }
+        }
+    }
+
+    fmpz_clear(a);
+}