+++ /dev/null
-/* mpz_si_kronecker -- Kronecker/Jacobi symbol. */
-
-/*
-Copyright (C) 1999, 2000 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 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 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 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.LIB. If not, write to
-the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
-MA 02111-1307, USA.
-*/
-
-#include "gmp.h"
-#include "gmp-impl.h"
-#include "longlong.h"
-
-
-int
-#if __STDC__
-mpz_si_kronecker (long a, mpz_srcptr b)
-#else
-mpz_si_kronecker (a, b)
- long a;
- mpz_srcptr b;
-#endif
-{
- int b_abs_size;
- mp_srcptr b_ptr;
- mp_limb_t b_low;
- int twos;
- int result_bit1;
-
- b_abs_size = ABSIZ (b);
- if (b_abs_size == 0)
- return JACOBI_S0 (a); /* (a/0) */
-
- b_ptr = PTR(b);
- b_low = b_ptr[0];
-
- /* (0/b) = 1 if b=+/-1, 0 otherwise */
- if (a == 0)
- return (b_abs_size == 1) & (b_low == 1);
-
- /* account for the effect of the sign of b, so can then ignore it */
- result_bit1 = JACOBI_BSGN_SZ_BIT1 (a, b);
-
- if ((b_low & 1) == 0)
- {
- /* b even */
-
- if ((a & 1) == 0)
- return 0; /* (a/b)=0 if both a,b even */
-
- /* Require MP_BITS_PER_LIMB even, so that (a/2)^MP_BITS_PER_LIMB = 1,
- and so that therefore there's no need to account for how many zero
- limbs are stripped. */
- ASSERT ((BITS_PER_MP_LIMB & 1) == 0);
-
- MPN_STRIP_LOW_ZEROS_NOT_ZERO (b_ptr, b_abs_size);
- b_low = b_ptr[0];
-
- if ((b_low & 1) == 0)
- {
- /* odd a, even b */
-
- mp_limb_t b_shl_bit1;
-
- count_trailing_zeros (twos, b_low);
-
- /* b_shl_bit1 is b>>twos, but with only bit 1 guaranteed */
- if (twos == BITS_PER_MP_LIMB-1)
- b_shl_bit1 = (b_abs_size == 1) ? 0 : (b_ptr[1] << 1);
- else
- b_shl_bit1 = (b_low >> twos);
-
- result_bit1 ^= JACOBI_ASGN_SU_BIT1 (a, b_shl_bit1);
- a = ABS(a);
-
- if (a == 1)
- return JACOBI_BIT1_TO_PN (result_bit1); /* (1/b)=1 */
-
- /* twos (a/2), reciprocity to (b/a), and (b/a) = (b mod a / b) */
- return mpn_jacobi_base (mpn_mod_1_rshift (b_ptr, b_abs_size,
- twos, a),
- a,
- result_bit1
- ^ JACOBI_TWOS_U_BIT1 (twos, a)
- ^ JACOBI_RECIP_UU_BIT1 (a, b_shl_bit1));
- }
- }
-
- /* b odd */
-
- result_bit1 ^= JACOBI_ASGN_SU_BIT1 (a, b_low);
- a = ABS(a);
-
- /* (a/1) = 1 for any a */
- if (b_abs_size == 1 && b_low == 1)
- return JACOBI_BIT1_TO_PN (result_bit1);
-
- /* Note a is cast to unsigned because 0x80..00 doesn't fit in a signed. */
- if ((a & 1) == 0)
- {
- count_trailing_zeros (twos, a);
- a = ((unsigned long) a) >> twos;
- result_bit1 ^= JACOBI_TWOS_U_BIT1 (twos, b_low);
- }
-
- if (a == 1)
- return JACOBI_BIT1_TO_PN (result_bit1); /* (1/b)=1 */
-
- /* reciprocity to (b/a), and (b/a) == (b mod a / a) */
- return mpn_jacobi_base (mpn_mod_1 (b_ptr, b_abs_size, a), a,
- result_bit1 ^ JACOBI_RECIP_UU_BIT1 (a, b_low));
-}