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// file kernel/x/h/root.h: pth-root of extensible integers
/*-----------------------------------------------------------------------+
| Copyright 2005-2006, Michel Quercia (michel.quercia@prepas.org) |
| |
| This file is part of Numerix. Numerix 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 Numerix 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. If not, |
| write to the Free Software Foundation, Inc., 59 Temple Place - |
| Suite 330, Boston, MA 02111-1307, USA. |
+-----------------------------------------------------------------------+
| |
| Racine p-me |
| |
+-----------------------------------------------------------------------*/
/*
entre :
a = entier extensible
_b = NULL ou pointeur sur un entier extensible
p = entier > 0
mode = 0,1 ou 2
sortie :
si mode & 3 = 0: b <- floor(a^(1/p))
si mode & 3 = 1: b <- floor(a^(1/p)+1/2)
si mode & 3 = 2: b <- ceil(a^(1/p))
si mode & 3 = 1: b <- ceil(a^(1/p)-1/2) (= floor(a^(1/p)+1/2))
si _b != NULL, *_b <- b
retourne b
erreurs :
NEGATIVE_EXPONENT si p <= 0
NEGATIVE_BASE si a < 0 et p est pair
*/
xint xx(private_root)(xint *_b, xint a, long p, long mode);
#if defined(caml_api) || defined(ocaml_api)
xint xx(root) ( xint *_b, xint a, long p);
xint xx(groot) (value mode, xint *_b, xint a, long p);
xint xx(f_root) ( xint a, long p);
xint xx(f_groot)(value mode, xint a, long p);
#elif defined(c_api)
extern inline xint xx(root) (xint *_b, xint a, long p ) {return xx(private_root)(_b, a,p,0);}
extern inline xint xx(groot) (xint *_b, xint a, long p, long mode) {return xx(private_root)(_b, a,p,mode);}
extern inline xint xx(f_root) ( xint a, long p ) {return xx(private_root)(NULL,a,p,0);}
extern inline xint xx(f_groot)( xint a, long p, long mode) {return xx(private_root)(NULL,a,p,mode);}
#endif /* api */
|
