| /* |
| * Copyright (c) 2007, 2011, Oracle and/or its affiliates. All rights reserved. |
| * Use is subject to license terms. |
| * |
| * This 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. |
| * |
| * This 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 this library; if not, write to the Free Software Foundation, |
| * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. |
| * |
| * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA |
| * or visit www.oracle.com if you need additional information or have any |
| * questions. |
| */ |
| |
| /* ********************************************************************* |
| * |
| * The Original Code is the MPI Arbitrary Precision Integer Arithmetic library. |
| * |
| * The Initial Developer of the Original Code is |
| * Michael J. Fromberger. |
| * Portions created by the Initial Developer are Copyright (C) 1998 |
| * the Initial Developer. All Rights Reserved. |
| * |
| * Contributor(s): |
| * |
| *********************************************************************** */ |
| |
| /* Bitwise logical operations on MPI values */ |
| |
| #include "mpi-priv.h" |
| #include "mplogic.h" |
| |
| /* {{{ Lookup table for population count */ |
| |
| static unsigned char bitc[] = { |
| 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4, |
| 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, |
| 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, |
| 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, |
| 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, |
| 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, |
| 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, |
| 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, |
| 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, |
| 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, |
| 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, |
| 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, |
| 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, |
| 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, |
| 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, |
| 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8 |
| }; |
| |
| /* }}} */ |
| |
| /* |
| mpl_rsh(a, b, d) - b = a >> d |
| mpl_lsh(a, b, d) - b = a << d |
| */ |
| |
| /* {{{ mpl_rsh(a, b, d) */ |
| |
| mp_err mpl_rsh(const mp_int *a, mp_int *b, mp_digit d) |
| { |
| mp_err res; |
| |
| ARGCHK(a != NULL && b != NULL, MP_BADARG); |
| |
| if((res = mp_copy(a, b)) != MP_OKAY) |
| return res; |
| |
| s_mp_div_2d(b, d); |
| |
| return MP_OKAY; |
| |
| } /* end mpl_rsh() */ |
| |
| /* }}} */ |
| |
| /* {{{ mpl_lsh(a, b, d) */ |
| |
| mp_err mpl_lsh(const mp_int *a, mp_int *b, mp_digit d) |
| { |
| mp_err res; |
| |
| ARGCHK(a != NULL && b != NULL, MP_BADARG); |
| |
| if((res = mp_copy(a, b)) != MP_OKAY) |
| return res; |
| |
| return s_mp_mul_2d(b, d); |
| |
| } /* end mpl_lsh() */ |
| |
| /* }}} */ |
| |
| /*------------------------------------------------------------------------*/ |
| /* |
| mpl_set_bit |
| |
| Returns MP_OKAY or some error code. |
| Grows a if needed to set a bit to 1. |
| */ |
| mp_err mpl_set_bit(mp_int *a, mp_size bitNum, mp_size value) |
| { |
| mp_size ix; |
| mp_err rv; |
| mp_digit mask; |
| |
| ARGCHK(a != NULL, MP_BADARG); |
| |
| ix = bitNum / MP_DIGIT_BIT; |
| if (ix + 1 > MP_USED(a)) { |
| rv = s_mp_pad(a, ix + 1); |
| if (rv != MP_OKAY) |
| return rv; |
| } |
| |
| bitNum = bitNum % MP_DIGIT_BIT; |
| mask = (mp_digit)1 << bitNum; |
| if (value) |
| MP_DIGIT(a,ix) |= mask; |
| else |
| MP_DIGIT(a,ix) &= ~mask; |
| s_mp_clamp(a); |
| return MP_OKAY; |
| } |
| |
| /* |
| mpl_get_bit |
| |
| returns 0 or 1 or some (negative) error code. |
| */ |
| mp_err mpl_get_bit(const mp_int *a, mp_size bitNum) |
| { |
| mp_size bit, ix; |
| mp_err rv; |
| |
| ARGCHK(a != NULL, MP_BADARG); |
| |
| ix = bitNum / MP_DIGIT_BIT; |
| ARGCHK(ix <= MP_USED(a) - 1, MP_RANGE); |
| |
| bit = bitNum % MP_DIGIT_BIT; |
| rv = (mp_err)(MP_DIGIT(a, ix) >> bit) & 1; |
| return rv; |
| } |
| |
| /* |
| mpl_get_bits |
| - Extracts numBits bits from a, where the least significant extracted bit |
| is bit lsbNum. Returns a negative value if error occurs. |
| - Because sign bit is used to indicate error, maximum number of bits to |
| be returned is the lesser of (a) the number of bits in an mp_digit, or |
| (b) one less than the number of bits in an mp_err. |
| - lsbNum + numbits can be greater than the number of significant bits in |
| integer a, as long as bit lsbNum is in the high order digit of a. |
| */ |
| mp_err mpl_get_bits(const mp_int *a, mp_size lsbNum, mp_size numBits) |
| { |
| mp_size rshift = (lsbNum % MP_DIGIT_BIT); |
| mp_size lsWndx = (lsbNum / MP_DIGIT_BIT); |
| mp_digit * digit = MP_DIGITS(a) + lsWndx; |
| mp_digit mask = ((1 << numBits) - 1); |
| |
| ARGCHK(numBits < CHAR_BIT * sizeof mask, MP_BADARG); |
| ARGCHK(MP_HOWMANY(lsbNum, MP_DIGIT_BIT) <= MP_USED(a), MP_RANGE); |
| |
| if ((numBits + lsbNum % MP_DIGIT_BIT <= MP_DIGIT_BIT) || |
| (lsWndx + 1 >= MP_USED(a))) { |
| mask &= (digit[0] >> rshift); |
| } else { |
| mask &= ((digit[0] >> rshift) | (digit[1] << (MP_DIGIT_BIT - rshift))); |
| } |
| return (mp_err)mask; |
| } |
| |
| /* |
| mpl_significant_bits |
| returns number of significnant bits in abs(a). |
| returns 1 if value is zero. |
| */ |
| mp_err mpl_significant_bits(const mp_int *a) |
| { |
| mp_err bits = 0; |
| int ix; |
| |
| ARGCHK(a != NULL, MP_BADARG); |
| |
| ix = MP_USED(a); |
| for (ix = MP_USED(a); ix > 0; ) { |
| mp_digit d; |
| d = MP_DIGIT(a, --ix); |
| if (d) { |
| while (d) { |
| ++bits; |
| d >>= 1; |
| } |
| break; |
| } |
| } |
| bits += ix * MP_DIGIT_BIT; |
| if (!bits) |
| bits = 1; |
| return bits; |
| } |
| |
| /*------------------------------------------------------------------------*/ |
| /* HERE THERE BE DRAGONS */ |