mplogic.c
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上传日期:2007-01-12
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文件大小:10k
- /*
- * mplogic.c
- *
- * Bitwise logical operations on MPI values
- *
- * The contents of this file are subject to the Mozilla Public
- * License Version 1.1 (the "License"); you may not use this file
- * except in compliance with the License. You may obtain a copy of
- * the License at http://www.mozilla.org/MPL/
- *
- * Software distributed under the License is distributed on an "AS
- * IS" basis, WITHOUT WARRANTY OF ANY KIND, either express or
- * implied. See the License for the specific language governing
- * rights and limitations under the License.
- *
- * 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 Michael J. Fromberger are
- * Copyright (C) 1998, 1999, 2000 Michael J. Fromberger.
- * All Rights Reserved.
- *
- * Contributor(s):
- *
- * Alternatively, the contents of this file may be used under the
- * terms of the GNU General Public License Version 2 or later (the
- * "GPL"), in which case the provisions of the GPL are applicable
- * instead of those above. If you wish to allow use of your
- * version of this file only under the terms of the GPL and not to
- * allow others to use your version of this file under the MPL,
- * indicate your decision by deleting the provisions above and
- * replace them with the notice and other provisions required by
- * the GPL. If you do not delete the provisions above, a recipient
- * may use your version of this file under either the MPL or the GPL.
- *
- * $Id: mplogic.c,v 1.12 2000/09/14 00:30:50 nelsonb%netscape.com Exp $
- */
- #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_not(a, b) - compute b = ~a
- mpl_and(a, b, c) - compute c = a & b
- mpl_or(a, b, c) - compute c = a | b
- mpl_xor(a, b, c) - compute c = a ^ b
- */
- /* {{{ mpl_not(a, b) */
- mp_err mpl_not(mp_int *a, mp_int *b)
- {
- mp_err res;
- int ix;
- ARGCHK(a != NULL && b != NULL, MP_BADARG);
- if((res = mp_copy(a, b)) != MP_OKAY)
- return res;
- /* This relies on the fact that the digit type is unsigned */
- for(ix = 0; ix < USED(b); ix++)
- DIGIT(b, ix) = ~DIGIT(b, ix);
- s_mp_clamp(b);
- return MP_OKAY;
- } /* end mpl_not() */
- /* }}} */
- /* {{{ mpl_and(a, b, c) */
- mp_err mpl_and(mp_int *a, mp_int *b, mp_int *c)
- {
- mp_int *which, *other;
- mp_err res;
- int ix;
- ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG);
- if(USED(a) <= USED(b)) {
- which = a;
- other = b;
- } else {
- which = b;
- other = a;
- }
- if((res = mp_copy(which, c)) != MP_OKAY)
- return res;
- for(ix = 0; ix < USED(which); ix++)
- DIGIT(c, ix) &= DIGIT(other, ix);
- s_mp_clamp(c);
- return MP_OKAY;
- } /* end mpl_and() */
- /* }}} */
- /* {{{ mpl_or(a, b, c) */
- mp_err mpl_or(mp_int *a, mp_int *b, mp_int *c)
- {
- mp_int *which, *other;
- mp_err res;
- int ix;
- ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG);
- if(USED(a) >= USED(b)) {
- which = a;
- other = b;
- } else {
- which = b;
- other = a;
- }
- if((res = mp_copy(which, c)) != MP_OKAY)
- return res;
- for(ix = 0; ix < USED(which); ix++)
- DIGIT(c, ix) |= DIGIT(other, ix);
- return MP_OKAY;
- } /* end mpl_or() */
- /* }}} */
- /* {{{ mpl_xor(a, b, c) */
- mp_err mpl_xor(mp_int *a, mp_int *b, mp_int *c)
- {
- mp_int *which, *other;
- mp_err res;
- int ix;
- ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG);
- if(USED(a) >= USED(b)) {
- which = a;
- other = b;
- } else {
- which = b;
- other = a;
- }
- if((res = mp_copy(which, c)) != MP_OKAY)
- return res;
- for(ix = 0; ix < USED(which); ix++)
- DIGIT(c, ix) ^= DIGIT(other, ix);
- s_mp_clamp(c);
- return MP_OKAY;
- } /* end mpl_xor() */
- /* }}} */
- /*------------------------------------------------------------------------*/
- /*
- 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_num_set(a, num)
- Count the number of set bits in the binary representation of a.
- Returns MP_OKAY and sets 'num' to be the number of such bits, if
- possible. If num is NULL, the result is thrown away, but it is
- not considered an error.
- mpl_num_clear() does basically the same thing for clear bits.
- */
- /* {{{ mpl_num_set(a, num) */
- mp_err mpl_num_set(mp_int *a, int *num)
- {
- int ix, db, nset = 0;
- mp_digit cur;
- unsigned char reg;
- ARGCHK(a != NULL, MP_BADARG);
- for(ix = 0; ix < USED(a); ix++) {
- cur = DIGIT(a, ix);
-
- for(db = 0; db < sizeof(mp_digit); db++) {
- reg = (unsigned char)(cur >> (CHAR_BIT * db));
- nset += bitc[reg];
- }
- }
- if(num)
- *num = nset;
- return MP_OKAY;
- } /* end mpl_num_set() */
- /* }}} */
- /* {{{ mpl_num_clear(a, num) */
- mp_err mpl_num_clear(mp_int *a, int *num)
- {
- int ix, db, nset = 0;
- mp_digit cur;
- unsigned char reg;
- ARGCHK(a != NULL, MP_BADARG);
- for(ix = 0; ix < USED(a); ix++) {
- cur = DIGIT(a, ix);
-
- for(db = 0; db < sizeof(mp_digit); db++) {
- reg = (unsigned char)(cur >> (CHAR_BIT * db));
- nset += bitc[UCHAR_MAX - reg];
- }
- }
- if(num)
- *num = nset;
- return MP_OKAY;
- } /* end mpl_num_clear() */
- /* }}} */
- /*------------------------------------------------------------------------*/
- /*
- mpl_parity(a)
- Determines the bitwise parity of the value given. Returns MP_EVEN
- if an even number of digits are set, MP_ODD if an odd number are
- set.
- */
- /* {{{ mpl_parity(a) */
- mp_err mpl_parity(mp_int *a)
- {
- int ix, par = 0;
- mp_digit cur;
- ARGCHK(a != NULL, MP_BADARG);
- for(ix = 0; ix < USED(a); ix++) {
- int shft = (sizeof(mp_digit) * CHAR_BIT) / 2;
- cur = DIGIT(a, ix);
- /* Compute parity for current digit */
- while(shft != 0) {
- cur ^= (cur >> shft);
- shft >>= 1;
- }
- cur &= 1;
- /* XOR with running parity so far */
- par ^= cur;
- }
- if(par)
- return MP_ODD;
- else
- return MP_EVEN;
- } /* end mpl_parity() */
- /* }}} */
- /*
- 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 */