X-Git-Url: http://git.megacz.com/?a=blobdiff_plain;f=rts%2Fgmp%2Fmpz%2Fkronuz.c;fp=rts%2Fgmp%2Fmpz%2Fkronuz.c;h=b877e6f64c9ce6ed40b2d6d5a2dcdd6101e09da5;hb=0065d5ab628975892cea1ec7303f968c3338cbe1;hp=0000000000000000000000000000000000000000;hpb=28a464a75e14cece5db40f2765a29348273ff2d2;p=ghc-hetmet.git diff --git a/rts/gmp/mpz/kronuz.c b/rts/gmp/mpz/kronuz.c new file mode 100644 index 0000000..b877e6f --- /dev/null +++ b/rts/gmp/mpz/kronuz.c @@ -0,0 +1,115 @@ +/* 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); +}