mirror of
https://git.postgresql.org/git/postgresql.git
synced 2024-12-21 08:29:39 +08:00
9af4159fce
This is the first run of the Perl-based pgindent script. Also update pgindent instructions.
210 lines
7.5 KiB
C
210 lines
7.5 KiB
C
/*
|
|
Name: imath.h
|
|
Purpose: Arbitrary precision integer arithmetic routines.
|
|
Author: M. J. Fromberger <http://spinning-yarns.org/michael/sw/>
|
|
Info: Id: imath.h 21 2006-04-02 18:58:36Z sting
|
|
|
|
Copyright (C) 2002 Michael J. Fromberger, All Rights Reserved.
|
|
|
|
Permission is hereby granted, free of charge, to any person
|
|
obtaining a copy of this software and associated documentation files
|
|
(the "Software"), to deal in the Software without restriction,
|
|
including without limitation the rights to use, copy, modify, merge,
|
|
publish, distribute, sublicense, and/or sell copies of the Software,
|
|
and to permit persons to whom the Software is furnished to do so,
|
|
subject to the following conditions:
|
|
|
|
The above copyright notice and this permission notice shall be
|
|
included in all copies or substantial portions of the Software.
|
|
|
|
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
|
|
EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
|
|
MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
|
|
NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
|
|
BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
|
|
ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
|
|
CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
|
|
SOFTWARE.
|
|
*/
|
|
/* contrib/pgcrypto/imath.h */
|
|
|
|
#ifndef IMATH_H_
|
|
#define IMATH_H_
|
|
|
|
/* use always 32bit digits - should some arch use 16bit digits? */
|
|
#define USE_LONG_LONG
|
|
|
|
#include <limits.h>
|
|
|
|
typedef unsigned char mp_sign;
|
|
typedef unsigned int mp_size;
|
|
typedef int mp_result;
|
|
|
|
#ifdef USE_LONG_LONG
|
|
typedef uint32 mp_digit;
|
|
typedef uint64 mp_word;
|
|
|
|
#define MP_DIGIT_MAX 0xFFFFFFFFULL
|
|
#define MP_WORD_MAX 0xFFFFFFFFFFFFFFFFULL
|
|
#else
|
|
typedef uint16 mp_digit;
|
|
typedef uint32 mp_word;
|
|
|
|
#define MP_DIGIT_MAX 0xFFFFUL
|
|
#define MP_WORD_MAX 0xFFFFFFFFUL
|
|
#endif
|
|
|
|
typedef struct mpz
|
|
{
|
|
mp_digit *digits;
|
|
mp_size alloc;
|
|
mp_size used;
|
|
mp_sign sign;
|
|
} mpz_t ,
|
|
*mp_int;
|
|
|
|
#define MP_DIGITS(Z) ((Z)->digits)
|
|
#define MP_ALLOC(Z) ((Z)->alloc)
|
|
#define MP_USED(Z) ((Z)->used)
|
|
#define MP_SIGN(Z) ((Z)->sign)
|
|
|
|
extern const mp_result MP_OK;
|
|
extern const mp_result MP_FALSE;
|
|
extern const mp_result MP_TRUE;
|
|
extern const mp_result MP_MEMORY;
|
|
extern const mp_result MP_RANGE;
|
|
extern const mp_result MP_UNDEF;
|
|
extern const mp_result MP_TRUNC;
|
|
extern const mp_result MP_BADARG;
|
|
|
|
#define MP_DIGIT_BIT (sizeof(mp_digit) * CHAR_BIT)
|
|
#define MP_WORD_BIT (sizeof(mp_word) * CHAR_BIT)
|
|
|
|
#define MP_MIN_RADIX 2
|
|
#define MP_MAX_RADIX 36
|
|
|
|
extern const mp_sign MP_NEG;
|
|
extern const mp_sign MP_ZPOS;
|
|
|
|
#define mp_int_is_odd(Z) ((Z)->digits[0] & 1)
|
|
#define mp_int_is_even(Z) !((Z)->digits[0] & 1)
|
|
|
|
mp_size mp_get_default_precision(void);
|
|
void mp_set_default_precision(mp_size s);
|
|
mp_size mp_get_multiply_threshold(void);
|
|
void mp_set_multiply_threshold(mp_size s);
|
|
|
|
mp_result mp_int_init(mp_int z);
|
|
mp_int mp_int_alloc(void);
|
|
mp_result mp_int_init_size(mp_int z, mp_size prec);
|
|
mp_result mp_int_init_copy(mp_int z, mp_int old);
|
|
mp_result mp_int_init_value(mp_int z, int value);
|
|
mp_result mp_int_set_value(mp_int z, int value);
|
|
void mp_int_clear(mp_int z);
|
|
void mp_int_free(mp_int z);
|
|
|
|
mp_result mp_int_copy(mp_int a, mp_int c); /* c = a */
|
|
void mp_int_swap(mp_int a, mp_int c); /* swap a, c */
|
|
void mp_int_zero(mp_int z); /* z = 0 */
|
|
mp_result mp_int_abs(mp_int a, mp_int c); /* c = |a| */
|
|
mp_result mp_int_neg(mp_int a, mp_int c); /* c = -a */
|
|
mp_result mp_int_add(mp_int a, mp_int b, mp_int c); /* c = a + b */
|
|
mp_result mp_int_add_value(mp_int a, int value, mp_int c);
|
|
mp_result mp_int_sub(mp_int a, mp_int b, mp_int c); /* c = a - b */
|
|
mp_result mp_int_sub_value(mp_int a, int value, mp_int c);
|
|
mp_result mp_int_mul(mp_int a, mp_int b, mp_int c); /* c = a * b */
|
|
mp_result mp_int_mul_value(mp_int a, int value, mp_int c);
|
|
mp_result mp_int_mul_pow2(mp_int a, int p2, mp_int c);
|
|
mp_result mp_int_sqr(mp_int a, mp_int c); /* c = a * a */
|
|
|
|
mp_result mp_int_div(mp_int a, mp_int b, /* q = a / b */
|
|
mp_int q, mp_int r); /* r = a % b */
|
|
mp_result mp_int_div_value(mp_int a, int value, /* q = a / value */
|
|
mp_int q, int *r); /* r = a % value */
|
|
mp_result mp_int_div_pow2(mp_int a, int p2, /* q = a / 2^p2 */
|
|
mp_int q, mp_int r); /* r = q % 2^p2 */
|
|
mp_result mp_int_mod(mp_int a, mp_int m, mp_int c); /* c = a % m */
|
|
|
|
#define mp_int_mod_value(A, V, R) mp_int_div_value((A), (V), 0, (R))
|
|
mp_result mp_int_expt(mp_int a, int b, mp_int c); /* c = a^b */
|
|
mp_result mp_int_expt_value(int a, int b, mp_int c); /* c = a^b */
|
|
|
|
int mp_int_compare(mp_int a, mp_int b); /* a <=> b */
|
|
int mp_int_compare_unsigned(mp_int a, mp_int b); /* |a| <=> |b| */
|
|
int mp_int_compare_zero(mp_int z); /* a <=> 0 */
|
|
int mp_int_compare_value(mp_int z, int value); /* a <=> v */
|
|
|
|
/* Returns true if v|a, false otherwise (including errors) */
|
|
int mp_int_divisible_value(mp_int a, int v);
|
|
|
|
/* Returns k >= 0 such that z = 2^k, if one exists; otherwise < 0 */
|
|
int mp_int_is_pow2(mp_int z);
|
|
|
|
mp_result mp_int_exptmod(mp_int a, mp_int b, mp_int m,
|
|
mp_int c); /* c = a^b (mod m) */
|
|
mp_result mp_int_exptmod_evalue(mp_int a, int value,
|
|
mp_int m, mp_int c); /* c = a^v (mod m) */
|
|
mp_result mp_int_exptmod_bvalue(int value, mp_int b,
|
|
mp_int m, mp_int c); /* c = v^b (mod m) */
|
|
mp_result mp_int_exptmod_known(mp_int a, mp_int b,
|
|
mp_int m, mp_int mu,
|
|
mp_int c); /* c = a^b (mod m) */
|
|
mp_result mp_int_redux_const(mp_int m, mp_int c);
|
|
|
|
mp_result mp_int_invmod(mp_int a, mp_int m, mp_int c); /* c = 1/a (mod m) */
|
|
|
|
mp_result mp_int_gcd(mp_int a, mp_int b, mp_int c); /* c = gcd(a, b) */
|
|
|
|
mp_result mp_int_egcd(mp_int a, mp_int b, mp_int c, /* c = gcd(a, b) */
|
|
mp_int x, mp_int y); /* c = ax + by */
|
|
|
|
mp_result mp_int_sqrt(mp_int a, mp_int c); /* c = floor(sqrt(q)) */
|
|
|
|
/* Convert to an int, if representable (returns MP_RANGE if not). */
|
|
mp_result mp_int_to_int(mp_int z, int *out);
|
|
|
|
/* Convert to nul-terminated string with the specified radix, writing at
|
|
most limit characters including the nul terminator */
|
|
mp_result mp_int_to_string(mp_int z, mp_size radix,
|
|
char *str, int limit);
|
|
|
|
/* Return the number of characters required to represent
|
|
z in the given radix. May over-estimate. */
|
|
mp_result mp_int_string_len(mp_int z, mp_size radix);
|
|
|
|
/* Read zero-terminated string into z */
|
|
mp_result mp_int_read_string(mp_int z, mp_size radix, const char *str);
|
|
mp_result mp_int_read_cstring(mp_int z, mp_size radix, const char *str,
|
|
char **end);
|
|
|
|
/* Return the number of significant bits in z */
|
|
mp_result mp_int_count_bits(mp_int z);
|
|
|
|
/* Convert z to two's complement binary, writing at most limit bytes */
|
|
mp_result mp_int_to_binary(mp_int z, unsigned char *buf, int limit);
|
|
|
|
/* Read a two's complement binary value into z from the given buffer */
|
|
mp_result mp_int_read_binary(mp_int z, unsigned char *buf, int len);
|
|
|
|
/* Return the number of bytes required to represent z in binary. */
|
|
mp_result mp_int_binary_len(mp_int z);
|
|
|
|
/* Convert z to unsigned binary, writing at most limit bytes */
|
|
mp_result mp_int_to_unsigned(mp_int z, unsigned char *buf, int limit);
|
|
|
|
/* Read an unsigned binary value into z from the given buffer */
|
|
mp_result mp_int_read_unsigned(mp_int z, unsigned char *buf, int len);
|
|
|
|
/* Return the number of bytes required to represent z as unsigned output */
|
|
mp_result mp_int_unsigned_len(mp_int z);
|
|
|
|
/* Return a statically allocated string describing error code res */
|
|
const char *mp_error_string(mp_result res);
|
|
|
|
#if 0
|
|
void s_print(char *tag, mp_int z);
|
|
void s_print_buf(char *tag, mp_digit *buf, mp_size num);
|
|
#endif
|
|
|
|
#endif /* end IMATH_H_ */
|