1 | /* mpz_sqrt(root, u) -- Set ROOT to floor(sqrt(U)). |
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2 | |
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3 | Copyright 1991, 1993, 1994, 1996, 2000, 2001 Free Software Foundation, Inc. |
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4 | |
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5 | This file is part of the GNU MP Library. |
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6 | |
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7 | The GNU MP Library is free software; you can redistribute it and/or modify |
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8 | it under the terms of the GNU Lesser General Public License as published by |
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9 | the Free Software Foundation; either version 2.1 of the License, or (at your |
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10 | option) any later version. |
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11 | |
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12 | The GNU MP Library is distributed in the hope that it will be useful, but |
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13 | WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
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14 | or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public |
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15 | License for more details. |
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16 | |
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17 | You should have received a copy of the GNU Lesser General Public License |
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18 | along with the GNU MP Library; see the file COPYING.LIB. If not, write to |
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19 | the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, |
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20 | MA 02111-1307, USA. */ |
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21 | |
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22 | #include <stdio.h> /* for NULL */ |
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23 | #include "gmp.h" |
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24 | #include "gmp-impl.h" |
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25 | |
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26 | void |
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27 | mpz_sqrt (mpz_ptr root, mpz_srcptr op) |
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28 | { |
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29 | mp_size_t op_size, root_size; |
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30 | mp_ptr root_ptr, op_ptr; |
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31 | mp_ptr free_me = NULL; |
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32 | mp_size_t free_me_size; |
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33 | TMP_DECL (marker); |
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34 | |
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35 | TMP_MARK (marker); |
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36 | op_size = op->_mp_size; |
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37 | if (op_size <= 0) |
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38 | { |
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39 | if (op_size < 0) |
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40 | SQRT_OF_NEGATIVE; |
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41 | SIZ(root) = 0; |
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42 | return; |
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43 | } |
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44 | |
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45 | /* The size of the root is accurate after this simple calculation. */ |
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46 | root_size = (op_size + 1) / 2; |
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47 | |
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48 | root_ptr = root->_mp_d; |
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49 | op_ptr = op->_mp_d; |
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50 | |
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51 | if (root->_mp_alloc < root_size) |
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52 | { |
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53 | if (root_ptr == op_ptr) |
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54 | { |
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55 | free_me = root_ptr; |
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56 | free_me_size = root->_mp_alloc; |
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57 | } |
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58 | else |
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59 | (*__gmp_free_func) (root_ptr, root->_mp_alloc * BYTES_PER_MP_LIMB); |
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60 | |
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61 | root->_mp_alloc = root_size; |
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62 | root_ptr = (mp_ptr) (*__gmp_allocate_func) (root_size * BYTES_PER_MP_LIMB); |
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63 | root->_mp_d = root_ptr; |
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64 | } |
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65 | else |
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66 | { |
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67 | /* Make OP not overlap with ROOT. */ |
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68 | if (root_ptr == op_ptr) |
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69 | { |
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70 | /* ROOT and OP are identical. Allocate temporary space for OP. */ |
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71 | op_ptr = (mp_ptr) TMP_ALLOC (op_size * BYTES_PER_MP_LIMB); |
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72 | /* Copy to the temporary space. Hack: Avoid temporary variable |
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73 | by using ROOT_PTR. */ |
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74 | MPN_COPY (op_ptr, root_ptr, op_size); |
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75 | } |
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76 | } |
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77 | |
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78 | mpn_sqrtrem (root_ptr, NULL, op_ptr, op_size); |
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79 | |
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80 | root->_mp_size = root_size; |
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81 | |
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82 | if (free_me != NULL) |
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83 | (*__gmp_free_func) (free_me, free_me_size * BYTES_PER_MP_LIMB); |
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84 | TMP_FREE (marker); |
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85 | } |
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