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authortege <tege@gmplib.org>2002-10-19 08:43:40 +0200
committertege <tege@gmplib.org>2002-10-19 08:43:40 +0200
commitaf8d800b681012fed482072949c5f6aff26e85ee (patch)
treef33713398b8ebb79eab423b33d200b28b7d42302 /mpz/rootrem.c
parentae0b561700ef35d04883445d45eebdd30ee8ed1f (diff)
downloadgmp-af8d800b681012fed482072949c5f6aff26e85ee.tar.gz
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Diffstat (limited to 'mpz/rootrem.c')
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diff --git a/mpz/rootrem.c b/mpz/rootrem.c
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+/* mpz_rootrem(root, rem, u, nth) -- Set ROOT to floor(U^(1/nth)) and
+ set REM to the remainder. Return an indication if the result is exact.
+
+Copyright 1999, 2000, 2001, 2002 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library.
+
+The GNU MP Library is free software; you can redistribute it and/or modify
+it under the terms of the GNU Lesser General Public License as published by
+the Free Software Foundation; either version 2.1 of the License, or (at your
+option) any later version.
+
+The GNU MP Library 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 Lesser General Public
+License for more details.
+
+You should have received a copy of the GNU Lesser General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include <stdio.h> /* for NULL */
+#include <stdlib.h> /* for abort */
+#include "gmp.h"
+#include "gmp-impl.h"
+#include "longlong.h"
+
+int
+mpz_rootrem (mpz_ptr root, mpz_ptr rem, mpz_srcptr u, unsigned long int nth)
+{
+ mp_ptr rootp, up, remp;
+ mp_size_t us, un, rootn, remn;
+
+ up = PTR(u);
+ us = SIZ(u);
+
+ /* even roots of negatives provoke an exception */
+ if (us < 0 && (nth & 1) == 0)
+ SQRT_OF_NEGATIVE;
+
+ /* root extraction interpreted as c^(1/nth) means a zeroth root should
+ provoke a divide by zero, do this even if c==0 */
+ if (nth == 0)
+ DIVIDE_BY_ZERO;
+
+ if (us == 0)
+ {
+ if (root != NULL)
+ SIZ(root) = 0;
+ SIZ(rem) = 0;
+ return 1; /* exact result */
+ }
+
+ un = ABS (us);
+ rootn = (un - 1) / nth + 1;
+
+ if (root != NULL)
+ {
+ rootp = MPZ_REALLOC (root, rootn);
+ up = PTR(u);
+ }
+ else
+ {
+ rootp = __GMP_ALLOCATE_FUNC_LIMBS (rootn);
+ }
+
+ MPZ_REALLOC (rem, un);
+ remp = PTR(rem);
+
+ if (nth == 1)
+ {
+ MPN_COPY (rootp, up, un);
+ remn = 0;
+ }
+ else
+ {
+ remn = mpn_rootrem (rootp, remp, up, un, nth);
+ }
+
+ if (root != NULL)
+ SIZ(root) = us >= 0 ? rootn : -rootn;
+ else
+ __GMP_FREE_FUNC_LIMBS (rootp, rootn);
+
+ SIZ(rem) = remn;
+
+ return remn == 0;
+}