summaryrefslogtreecommitdiff
path: root/rts/gmp/mpz/kronuz.c
diff options
context:
space:
mode:
Diffstat (limited to 'rts/gmp/mpz/kronuz.c')
-rw-r--r--rts/gmp/mpz/kronuz.c115
1 files changed, 0 insertions, 115 deletions
diff --git a/rts/gmp/mpz/kronuz.c b/rts/gmp/mpz/kronuz.c
deleted file mode 100644
index b877e6f64c..0000000000
--- a/rts/gmp/mpz/kronuz.c
+++ /dev/null
@@ -1,115 +0,0 @@
-/* mpz_ui_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_ui_kronecker (unsigned long a, mpz_srcptr b)
-#else
-mpz_ui_kronecker (a, b)
- unsigned long a;
- mpz_srcptr b;
-#endif
-{
- int b_abs_size;
- mp_srcptr b_ptr;
- mp_limb_t b_low;
- int twos;
- int result_bit1;
-
- /* (a/0) */
- b_abs_size = ABSIZ (b);
- if (b_abs_size == 0)
- return JACOBI_U0 (a);
-
- /* (a/-1)=1 when a>=0, so the sign of b is ignored */
- b_ptr = PTR(b);
- b_low = b_ptr[0];
-
- /* (0/1)=1; (0/-1)=1; (0/b)=0 for b!=+/-1
- (1/b)=1, for any b */
- if (a <= 1)
- return (a == 1) | ((b_abs_size == 1) & (b_low == 1));
-
- if (b_low & 1)
- {
- /* (a/1) = 1 for any a */
- if (b_abs_size == 1 && b_low == 1)
- return 1;
-
- count_trailing_zeros (twos, a);
- a >>= twos;
- if (a == 1)
- return JACOBI_TWOS_U (twos, b_low); /* powers of (2/b) only */
-
- /* powers of (2/b); reciprocity to (b/a); (b/a) == (b mod a / a) */
- return mpn_jacobi_base (mpn_mod_1 (b_ptr, b_abs_size, a),
- a,
- JACOBI_TWOS_U_BIT1 (twos, b_low)
- ^ JACOBI_RECIP_UU_BIT1 (b_low, a));
- }
-
- /* b is even; (a/2)=0 if a is even */
- if ((a & 1) == 0)
- return 0;
-
- /* Require MP_BITS_PER_LIMB even, so (a/2)^MP_BITS_PER_LIMB = 1, and so we
- don't have to pay attention to how many trailing 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)
- /* reciprocity to (b/a); (b/a) == (b mod a / a) */
- return mpn_jacobi_base (mpn_mod_1 (b_ptr, b_abs_size, a),
- a,
- JACOBI_RECIP_UU_BIT1 (b_low, a));
-
- count_trailing_zeros (twos, b_low);
-
- /* reciprocity to get (b/a) */
- if (twos == BITS_PER_MP_LIMB-1)
- {
- if (b_abs_size == 1)
- {
- /* b==0x800...00, one limb high bit only, so (a/2)^(BPML-1) */
- return JACOBI_TWOS_U (BITS_PER_MP_LIMB-1, a);
- }
-
- /* b_abs_size > 1 */
- result_bit1 = JACOBI_RECIP_UU_BIT1 (a, b_ptr[1] << 1);
- }
- else
- result_bit1 = JACOBI_RECIP_UU_BIT1 (a, b_low >> twos);
-
- /* powers of (a/2); reciprocity to (b/a); (b/a) == (b mod a / a) */
- return mpn_jacobi_base (mpn_mod_1_rshift (b_ptr, b_abs_size, twos, a),
- a,
- JACOBI_TWOS_U_BIT1 (twos, a) ^ result_bit1);
-}