1 /* mpz_kronecker_ui -- mpz+ulong Kronecker/Jacobi symbol.
3 Copyright 1999, 2000, 2001, 2002 Free Software Foundation, Inc.
5 This file is part of the GNU MP Library.
7 The GNU MP Library is free software; you can redistribute it and/or modify
8 it under the terms of the GNU Lesser General Public License as published by
9 the Free Software Foundation; either version 3 of the License, or (at your
10 option) any later version.
12 The GNU MP Library is distributed in the hope that it will be useful, but
13 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
14 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
15 License for more details.
17 You should have received a copy of the GNU Lesser General Public License
18 along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
26 mpz_kronecker_ui (mpz_srcptr a
, unsigned long b
)
41 ALLOC(bz
) = numberof (blimbs
);
44 return mpz_kronecker (a
, bz
);
50 result_bit1
= JACOBI_ASGN_SU_BIT1 (a_size
, b
);
54 mp_limb_t a_low
= a_ptr
[0];
58 return JACOBI_LS0 (a_low
, a_size
); /* (a/0) */
61 return 0; /* (even/even)=0 */
63 /* (a/2)=(2/a) for a odd */
64 count_trailing_zeros (twos
, b
);
66 result_bit1
= (JACOBI_TWOS_U_BIT1 (twos
, a_low
)
67 ^ JACOBI_ASGN_SU_BIT1 (a_size
, b
));
71 return JACOBI_BIT1_TO_PN (result_bit1
); /* (a/1)=1 for any a */
75 /* (a/b) = (a mod b / b) */
76 JACOBI_MOD_OR_MODEXACT_1_ODD (result_bit1
, a_rem
, a_ptr
, a_size
, b
);
77 return mpn_jacobi_base (a_rem
, (mp_limb_t
) b
, result_bit1
);