source/libs/gmp/gmp-src/mpz/rootrem.c

   1 /* mpz_rootrem(root, rem, u, nth) --  Set ROOT to trunc(U^(1/nth)) and
   2    set REM to the remainder.
   3
   4 Copyright 1999-2003, 2005, 2012 Free Software Foundation, Inc.
   5
   6 This file is part of the GNU MP Library.
   7
   8 The GNU MP Library is free software; you can redistribute it and/or modify
   9 it under the terms of either:
  10
  11   * the GNU Lesser General Public License as published by the Free
  12     Software Foundation; either version 3 of the License, or (at your
  13     option) any later version.
  14
  15 or
  16
  17   * the GNU General Public License as published by the Free Software
  18     Foundation; either version 2 of the License, or (at your option) any
  19     later version.
  20
  21 or both in parallel, as here.
  22
  23 The GNU MP Library is distributed in the hope that it will be useful, but
  24 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
  25 or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
  26 for more details.
  27
  28 You should have received copies of the GNU General Public License and the
  29 GNU Lesser General Public License along with the GNU MP Library.  If not,
  30 see https://www.gnu.org/licenses/.  */
  31
  32 #include <stdio.h>              /* for NULL */
  33 #include "gmp.h"
  34 #include "gmp-impl.h"
  35
  36 void
  37 mpz_rootrem (mpz_ptr root, mpz_ptr rem, mpz_srcptr u, unsigned long int nth)
  38 {
  39   mp_ptr rootp, up, remp;
  40   mp_size_t us, un, rootn, remn;
  41   TMP_DECL;
  42
  43   us = SIZ(u);
  44
  45   /* even roots of negatives provoke an exception */
  46   if (UNLIKELY (us < 0 && (nth & 1) == 0))
  47     SQRT_OF_NEGATIVE;
  48
  49   /* root extraction interpreted as c^(1/nth) means a zeroth root should
  50      provoke a divide by zero, do this even if c==0 */
  51   if (UNLIKELY (nth == 0))
  52     DIVIDE_BY_ZERO;
  53
  54   if (us == 0)
  55     {
  56       if (root != NULL)
  57         SIZ(root) = 0;
  58       SIZ(rem) = 0;
  59       return;
  60     }
  61
  62   un = ABS (us);
  63   rootn = (un - 1) / nth + 1;
  64
  65   TMP_MARK;
  66
  67   /* FIXME: Perhaps disallow root == NULL */
  68   if (root != NULL && u != root)
  69     rootp = MPZ_REALLOC (root, rootn);
  70   else
  71     rootp = TMP_ALLOC_LIMBS (rootn);
  72
  73   if (u != rem)
  74     remp = MPZ_REALLOC (rem, un);
  75   else
  76     remp = TMP_ALLOC_LIMBS (un);
  77
  78   up = PTR(u);
  79
  80   if (nth == 1)
  81     {
  82       MPN_COPY (rootp, up, un);
  83       remn = 0;
  84     }
  85   else
  86     {
  87       remn = mpn_rootrem (rootp, remp, up, un, (mp_limb_t) nth);
  88     }
  89
  90   if (root != NULL)
  91     {
  92       SIZ(root) = us >= 0 ? rootn : -rootn;
  93       if (u == root)
  94         MPN_COPY (up, rootp, rootn);
  95     }
  96
  97   if (u == rem)
  98     MPN_COPY (up, remp, remn);
  99   SIZ(rem) = us >= 0 ? remn : -remn;
 100   TMP_FREE;
 101 }