106 lines
2.8 KiB
C
106 lines
2.8 KiB
C
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/* mpz_sqrtrem(root,rem,x) -- Set ROOT to floor(sqrt(X)) and REM
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to the remainder, i.e. X - ROOT**2.
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Copyright (C) 1991 Free Software Foundation, Inc.
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This file is part of the GNU MP Library.
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The GNU MP Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2, or (at your option)
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any later version.
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The GNU MP Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with the GNU MP Library; see the file COPYING. If not, write to
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the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA. */
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#include "gmp.h"
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#include "gmp-impl.h"
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#ifndef BERKELEY_MP
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void
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#ifdef __STDC__
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mpz_sqrtrem (MP_INT *root, MP_INT *rem, const MP_INT *op)
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#else
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mpz_sqrtrem (root, rem, op)
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MP_INT *root;
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MP_INT *rem;
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const MP_INT *op;
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#endif
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#else /* BERKELEY_MP */
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void
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#ifdef __STDC__
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msqrt (const MP_INT *op, MP_INT *root, MP_INT *rem)
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#else
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msqrt (op, root, rem)
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const MP_INT *op;
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MP_INT *root;
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MP_INT *rem;
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#endif
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#endif /* BERKELEY_MP */
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{
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mp_size op_size, root_size, rem_size;
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mp_ptr root_ptr, op_ptr;
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mp_ptr free_me = NULL;
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mp_size free_me_size;
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op_size = op->size;
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if (op_size < 0)
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op_size = 1 / (op_size > 0); /* Divide by zero for negative OP. */
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if (rem->alloc < op_size)
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_mpz_realloc (rem, op_size);
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/* The size of the root is accurate after this simple calculation. */
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root_size = (op_size + 1) / 2;
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root_ptr = root->d;
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op_ptr = op->d;
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if (root->alloc < root_size)
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{
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if (root_ptr == op_ptr)
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{
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free_me = root_ptr;
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free_me_size = root->alloc;
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}
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else
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(*_mp_free_func) (root_ptr, root->alloc * BYTES_PER_MP_LIMB);
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root->alloc = root_size;
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root_ptr = (mp_ptr) (*_mp_allocate_func) (root_size * BYTES_PER_MP_LIMB);
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root->d = root_ptr;
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}
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else
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{
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/* Make OP not overlap with ROOT. */
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if (root_ptr == op_ptr)
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{
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/* ROOT and OP are identical. Allocate temporary space for OP. */
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op_ptr = (mp_ptr) alloca (op_size * BYTES_PER_MP_LIMB);
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/* Copy to the temporary space. Hack: Avoid temporary variable
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by using ROOT_PTR. */
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MPN_COPY (op_ptr, root_ptr, op_size);
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}
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}
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rem_size = mpn_sqrt (root_ptr, rem->d, op_ptr, op_size);
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root->size = root_size;
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/* Write remainder size last, to enable us to define this function to
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give only the square root remainder, if the user calles if with
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ROOT == REM. */
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rem->size = rem_size;
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if (free_me != NULL)
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(*_mp_free_func) (free_me, free_me_size * BYTES_PER_MP_LIMB);
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alloca (0);
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}
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