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- /* mpz_and -- Logical and.
-
- Copyright (C) 1991 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 General Public License as published by
- the Free Software Foundation; either version 2, 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 General Public License for more details.
-
- You should have received a copy of the GNU General Public License
- along with the GNU MP Library; see the file COPYING. If not, write to
- the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA. */
-
- #include "gmp.h"
- #include "gmp-impl.h"
-
- #define min(l,o) ((l) < (o) ? (l) : (o))
- #define max(h,i) ((h) > (i) ? (h) : (i))
-
- void
- #ifdef __STDC__
- mpz_and (MP_INT *res, const MP_INT *op1, const MP_INT *op2)
- #else
- mpz_and (res, op1, op2)
- MP_INT *res;
- const MP_INT *op1;
- const MP_INT *op2;
- #endif
- {
- mp_srcptr op1_ptr, op2_ptr;
- mp_size op1_size, op2_size;
- mp_ptr res_ptr;
- mp_size res_size;
- mp_size i;
-
- op1_size = op1->size;
- op2_size = op2->size;
-
- op1_ptr = op1->d;
- op2_ptr = op2->d;
- res_ptr = res->d;
-
- if (op1_size >= 0)
- {
- if (op2_size >= 0)
- {
- res_size = min (op1_size, op2_size);
- /* First loop finds the size of the result. */
- for (i = res_size - 1; i >= 0; i--)
- if ((op1_ptr[i] & op2_ptr[i]) != 0)
- break;
- res_size = i + 1;
-
- /* Handle allocation, now when we know exactly how much space is
- needed for the result. */
- if (res->alloc < res_size)
- {
- _mpz_realloc (res, res_size);
- op1_ptr = op1->d;
- op2_ptr = op2->d;
- res_ptr = res->d;
- }
-
- /* Second loop computes the real result. */
- for (i = res_size - 1; i >= 0; i--)
- res_ptr[i] = op1_ptr[i] & op2_ptr[i];
-
- res->size = res_size;
- return;
- }
- else /* op2_size < 0 */
- /* Fall through to the code at the end of the function. */
- ;
- }
- else
- {
- if (op2_size < 0)
- {
- mp_ptr opx;
- mp_limb cy;
- mp_limb one = 1;
- mp_size res_alloc;
-
- /* Both operands are negative, so will be the result.
- -((-OP1) & (-OP2)) = -(~(OP1 - 1) & ~(OP2 - 1)) =
- = ~(~(OP1 - 1) & ~(OP2 - 1)) + 1 =
- = ((OP1 - 1) | (OP2 - 1)) + 1 */
-
- op1_size = -op1_size;
- op2_size = -op2_size;
-
- res_alloc = 1 + max (op1_size, op2_size);
-
- opx = (mp_ptr) alloca (op1_size * BYTES_PER_MP_LIMB);
- op1_size += mpn_sub (opx, op1_ptr, op1_size, &one, 1);
- op1_ptr = opx;
-
- opx = (mp_ptr) alloca (op2_size * BYTES_PER_MP_LIMB);
- op2_size += mpn_sub (opx, op2_ptr, op2_size, &one, 1);
- op2_ptr = opx;
-
- if (res->alloc < res_alloc)
- {
- _mpz_realloc (res, res_alloc);
- res_ptr = res->d;
- /* Don't re-read OP1_PTR and OP2_PTR. They point to
- temporary space--never to the space RES->D used
- to point to before reallocation. */
- }
-
- if (op1_size >= op2_size)
- {
- MPN_COPY (res_ptr + op2_size, op1_ptr + op2_size,
- op1_size - op2_size);
- for (i = op2_size - 1; i >= 0; i--)
- res_ptr[i] = op1_ptr[i] | op2_ptr[i];
- res_size = op1_size;
- }
- else
- {
- MPN_COPY (res_ptr + op1_size, op2_ptr + op1_size,
- op2_size - op1_size);
- for (i = op1_size - 1; i >= 0; i--)
- res_ptr[i] = op1_ptr[i] | op2_ptr[i];
- res_size = op2_size;
- }
-
- if (res_size != 0)
- {
- cy = mpn_add (res_ptr, res_ptr, res_size, &one, 1);
- if (cy)
- {
- res_ptr[res_size] = cy;
- res_size++;
- }
- }
- else
- {
- res_ptr[0] = 1;
- res_size = 1;
- }
-
- res->size = -res_size;
- return;
- }
- else
- {
- /* We should compute -OP1 & OP2. Swap OP1 and OP2 and fall
- through to the code that handles OP1 & -OP2. */
- {const MP_INT *t = op1; op1 = op2; op2 = t;}
- {mp_srcptr t = op1_ptr; op1_ptr = op2_ptr; op2_ptr = t;}
- {mp_size t = op1_size; op1_size = op2_size; op2_size = t;}
- }
-
- }
-
- {
- #if 0
- mp_size op2_lim;
-
- /* OP2 must be negated as with infinite precision.
-
- Scan from the low end for a non-zero limb. The first non-zero
- limb is simply negated (two's complement). Any subsequent
- limbs are one's complemented. Of course, we don't need to
- handle more limbs than there are limbs in the other, positive
- operand as the result for those limbs is going to become zero
- anyway. */
-
- /* Scan for the least significant. non-zero OP2 limb, and zero the
- result meanwhile for those limb positions. (We will surely
- find a non-zero limb, so we can write the loop with one
- termination condition only.) */
- for (i = 0; op2_ptr[i] == 0; i++)
- res_ptr[i] = 0;
- op2_lim = i;
-
- op2_size = -op2_size;
-
- if (op1_size <= op2_size)
- {
- /* The ones-extended OP2 is >= than the zero-extended OP1.
- RES_SIZE <= OP1_SIZE. Find the exact size. */
- for (i = op1_size - 1; i > op2_lim; i--)
- if ((op1_ptr[i] & ~op2_ptr[i]) != 0)
- break;
- res_size = i + 1;
- }
- else
- {
- /* The ones-extended OP2 is < than the zero-extended OP1.
- RES_SIZE == OP1_SIZE, since OP1 is normalized. */
- res_size = op1_size;
- }
- #endif
-
- /* OP1 is positive and zero-extended,
- OP2 is negative and ones-extended.
- The result will be positive.
- OP1 & -OP2 = OP1 & ~(OP2 - 1). */
-
- mp_ptr opx;
- const mp_limb one = 1;
-
- op2_size = -op2_size;
- opx = (mp_ptr) alloca (op2_size * BYTES_PER_MP_LIMB);
- op2_size += mpn_sub (opx, op2_ptr, op2_size, &one, 1);
- op2_ptr = opx;
-
- if (op1_size > op2_size)
- {
- /* The result has the same size as OP1, since OP1 is normalized
- and longer than the ones-extended OP2. */
- res_size = op1_size;
-
- /* Handle allocation, now when we know exactly how much space is
- needed for the result. */
- if (res->alloc < res_size)
- {
- _mpz_realloc (res, res_size);
- res_ptr = res->d;
- op1_ptr = op1->d;
- /* Don't re-read OP2_PTR. It points to temporary space--never
- to the space RES->D used to point to before reallocation. */
- }
-
- MPN_COPY (res_ptr + op2_size, op1_ptr + op2_size,
- res_size - op2_size);
- for (i = op2_size - 1; i >= 0; i--)
- res_ptr[i] = op1_ptr[i] & ~op2_ptr[i];
-
- res->size = res_size;
- }
- else
- {
- /* Find out the exact result size. Ignore the high limbs of OP2,
- OP1 is zero-extended and would make the result zero. */
- for (i = op1_size - 1; i >= 0; i--)
- if ((op1_ptr[i] & ~op2_ptr[i]) != 0)
- break;
- res_size = i + 1;
-
- /* Handle allocation, now when we know exactly how much space is
- needed for the result. */
- if (res->alloc < res_size)
- {
- _mpz_realloc (res, res_size);
- res_ptr = res->d;
- op1_ptr = op1->d;
- /* Don't re-read OP2_PTR. It points to temporary space--never
- to the space RES->D used to point to before reallocation. */
- }
-
- for (i = res_size - 1; i >= 0; i--)
- res_ptr[i] = op1_ptr[i] & ~op2_ptr[i];
-
- res->size = res_size;
- }
- }
- }
-