a8239c2465
The return type of mp_get_bit was imprecise (either mp_err or mp_bool), therefore this function is deprecated in favor of s_mp_get_bit for now. If we need s_mp_get_bit to be public, we should add it under a different name. However since mp_set_bit is not available, I don't think there any downstream users (ab)using mp_int as bitsets.
698 lines
24 KiB
C
698 lines
24 KiB
C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
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/* SPDX-License-Identifier: Unlicense */
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#ifndef BN_H_
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#define BN_H_
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#include <stdint.h>
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#include <limits.h>
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#ifdef LTM_NO_FILE
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# warning LTM_NO_FILE has been deprecated, use MP_NO_FILE.
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# define MP_NO_FILE
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#endif
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#ifndef MP_NO_FILE
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# include <stdio.h>
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#endif
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#include "tommath_class.h"
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#ifdef __cplusplus
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extern "C" {
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#endif
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/* MS Visual C++ doesn't have a 128bit type for words, so fall back to 32bit MPI's (where words are 64bit) */
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#if defined(_MSC_VER) || defined(__LLP64__) || defined(__e2k__) || defined(__LCC__)
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# define MP_32BIT
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#endif
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/* detect 64-bit mode if possible */
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#if defined(__x86_64__) || defined(_M_X64) || defined(_M_AMD64) || \
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defined(__powerpc64__) || defined(__ppc64__) || defined(__PPC64__) || \
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defined(__s390x__) || defined(__arch64__) || defined(__aarch64__) || \
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defined(__sparcv9) || defined(__sparc_v9__) || defined(__sparc64__) || \
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defined(__ia64) || defined(__ia64__) || defined(__itanium__) || defined(_M_IA64) || \
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defined(__LP64__) || defined(_LP64) || defined(__64BIT__)
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# if !(defined(MP_32BIT) || defined(MP_16BIT) || defined(MP_8BIT))
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# if defined(__GNUC__)
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/* we support 128bit integers only via: __attribute__((mode(TI))) */
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# define MP_64BIT
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# else
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/* otherwise we fall back to MP_32BIT even on 64bit platforms */
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# define MP_32BIT
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# endif
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# endif
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#endif
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/* some default configurations.
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*
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* A "mp_digit" must be able to hold MP_DIGIT_BIT + 1 bits
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* A "mp_word" must be able to hold 2*MP_DIGIT_BIT + 1 bits
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*
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* At the very least a mp_digit must be able to hold 7 bits
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* [any size beyond that is ok provided it doesn't overflow the data type]
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*/
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#ifdef MP_8BIT
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typedef uint8_t mp_digit;
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typedef uint16_t mp_word;
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# define MP_SIZEOF_MP_DIGIT 1
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# ifdef MP_DIGIT_BIT
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# error You must not define MP_DIGIT_BIT when using MP_8BIT
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# endif
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#elif defined(MP_16BIT)
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typedef uint16_t mp_digit;
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typedef uint32_t mp_word;
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# define MP_SIZEOF_MP_DIGIT 2
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# ifdef MP_DIGIT_BIT
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# error You must not define MP_DIGIT_BIT when using MP_16BIT
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# endif
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#elif defined(MP_64BIT)
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/* for GCC only on supported platforms */
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typedef uint64_t mp_digit;
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typedef unsigned long mp_word __attribute__((mode(TI)));
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# define MP_DIGIT_BIT 60
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#else
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/* this is the default case, 28-bit digits */
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/* this is to make porting into LibTomCrypt easier :-) */
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typedef uint32_t mp_digit;
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typedef uint64_t mp_word;
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# ifdef MP_31BIT
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/* this is an extension that uses 31-bit digits */
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# define MP_DIGIT_BIT 31
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# else
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/* default case is 28-bit digits, defines MP_28BIT as a handy macro to test */
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# define MP_DIGIT_BIT 28
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# define MP_28BIT
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# endif
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#endif
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/* otherwise the bits per digit is calculated automatically from the size of a mp_digit */
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#ifndef MP_DIGIT_BIT
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# define MP_DIGIT_BIT (((CHAR_BIT * MP_SIZEOF_MP_DIGIT) - 1)) /* bits per digit */
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#endif
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#define MP_MASK ((((mp_digit)1)<<((mp_digit)MP_DIGIT_BIT))-((mp_digit)1))
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#define MP_DIGIT_MAX MP_MASK
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/* Primality generation flags */
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#define MP_PRIME_BBS 0x0001 /* BBS style prime */
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#define MP_PRIME_SAFE 0x0002 /* Safe prime (p-1)/2 == prime */
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#define MP_PRIME_2MSB_ON 0x0008 /* force 2nd MSB to 1 */
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#define LTM_PRIME_BBS (MP_DEPRECATED_PRAGMA("LTM_PRIME_BBS has been deprecated, use MP_PRIME_BBS") MP_PRIME_BBS)
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#define LTM_PRIME_SAFE (MP_DEPRECATED_PRAGMA("LTM_PRIME_SAFE has been deprecated, use MP_PRIME_SAFE") MP_PRIME_SAFE)
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#define LTM_PRIME_2MSB_ON (MP_DEPRECATED_PRAGMA("LTM_PRIME_2MSB_ON has been deprecated, use MP_PRIME_2MSB_ON") MP_PRIME_2MSB_ON)
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#ifdef MP_USE_ENUMS
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typedef enum {
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MP_ZPOS = 0,
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MP_NEG = 1
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} mp_sign;
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typedef enum {
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MP_LT = -1,
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MP_EQ = 0,
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MP_GT = 1
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} mp_ord;
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typedef enum {
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MP_NO = 0,
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MP_YES = 1
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} mp_bool;
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typedef enum {
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MP_OKAY = 0,
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MP_ERR = -1,
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MP_MEM = -2,
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MP_VAL = -3,
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MP_ITER = -4
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} mp_err;
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#else
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typedef int mp_sign;
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#define MP_ZPOS 0 /* positive integer */
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#define MP_NEG 1 /* negative */
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typedef int mp_ord;
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#define MP_LT -1 /* less than */
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#define MP_EQ 0 /* equal to */
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#define MP_GT 1 /* greater than */
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typedef int mp_bool;
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#define MP_YES 1 /* yes response */
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#define MP_NO 0 /* no response */
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typedef int mp_err;
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#define MP_OKAY 0 /* ok result */
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#define MP_ERR -1 /* unknown error */
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#define MP_MEM -2 /* out of mem */
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#define MP_VAL -3 /* invalid input */
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#define MP_RANGE (MP_DEPRECATED_PRAGMA("MP_RANGE has been deprecated in favor of MP_VAL") MP_VAL)
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#define MP_ITER -4 /* Max. iterations reached */
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#endif
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/* tunable cutoffs */
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#ifndef MP_FIXED_CUTOFFS
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extern int
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KARATSUBA_MUL_CUTOFF,
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KARATSUBA_SQR_CUTOFF,
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TOOM_MUL_CUTOFF,
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TOOM_SQR_CUTOFF;
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#endif
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/* define this to use lower memory usage routines (exptmods mostly) */
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/* #define MP_LOW_MEM */
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/* default precision */
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#ifndef MP_PREC
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# ifndef MP_LOW_MEM
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# define MP_PREC 32 /* default digits of precision */
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# elif defined(MP_8BIT)
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# define MP_PREC 16 /* default digits of precision */
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# else
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# define MP_PREC 8 /* default digits of precision */
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# endif
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#endif
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/* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */
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#define PRIVATE_MP_WARRAY (1uLL << (((CHAR_BIT * sizeof(mp_word)) - (2 * MP_DIGIT_BIT)) + 1))
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#define MP_WARRAY (MP_DEPRECATED_PRAGMA("MP_WARRAY is an internal macro") PRIVATE_MP_WARRAY)
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#if defined(__GNUC__) && __GNUC__ >= 4
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# define MP_NULL_TERMINATED __attribute__((sentinel))
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#else
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# define MP_NULL_TERMINATED
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#endif
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/*
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* MP_WUR - warn unused result
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* ---------------------------
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*
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* The result of functions annotated with MP_WUR must be
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* checked and cannot be ignored.
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*
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* Most functions in libtommath return an error code.
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* This error code must be checked in order to prevent crashes or invalid
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* results.
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*
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* If you still want to avoid the error checks for quick and dirty programs
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* without robustness guarantees, you can `#define MP_WUR` before including
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* tommath.h, disabling the warnings.
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*/
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#ifndef MP_WUR
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# if defined(__GNUC__) && __GNUC__ >= 4
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# define MP_WUR __attribute__((warn_unused_result))
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# else
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# define MP_WUR
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# endif
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#endif
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#if defined(__GNUC__) && (__GNUC__ * 100 + __GNUC_MINOR__ >= 301)
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# define MP_DEPRECATED(x) __attribute__((deprecated("replaced by " #x)))
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# define PRIVATE_MP_DEPRECATED_PRAGMA(s) _Pragma(#s)
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# define MP_DEPRECATED_PRAGMA(s) PRIVATE_MP_DEPRECATED_PRAGMA(GCC warning s)
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#elif defined(_MSC_VER) && _MSC_VER >= 1500
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# define MP_DEPRECATED(x) __declspec(deprecated("replaced by " #x))
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# define MP_DEPRECATED_PRAGMA(s) __pragma(message(s))
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#else
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# define MP_DEPRECATED
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# define MP_DEPRECATED_PRAGMA(s)
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#endif
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#define DIGIT_BIT (MP_DEPRECATED_PRAGMA("DIGIT_BIT macro is deprecated, MP_DIGIT_BIT instead") MP_DIGIT_BIT)
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#define USED(m) (MP_DEPRECATED_PRAGMA("USED macro is deprecated, use z->used instead") (m)->used)
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#define DIGIT(m, k) (MP_DEPRECATED_PRAGMA("DIGIT macro is deprecated, use z->dp instead") (m)->dp[(k)])
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#define SIGN(m) (MP_DEPRECATED_PRAGMA("SIGN macro is deprecated, use z->sign instead") (m)->sign)
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/* the infamous mp_int structure */
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typedef struct {
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int used, alloc;
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mp_sign sign;
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mp_digit *dp;
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} mp_int;
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/* callback for mp_prime_random, should fill dst with random bytes and return how many read [upto len] */
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typedef int private_mp_prime_callback(unsigned char *dst, int len, void *dat);
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typedef private_mp_prime_callback ltm_prime_callback MP_DEPRECATED(mp_rand_source);
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/* error code to char* string */
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const char *mp_error_to_string(mp_err code) MP_WUR;
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/* ---> init and deinit bignum functions <--- */
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/* init a bignum */
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mp_err mp_init(mp_int *a) MP_WUR;
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/* free a bignum */
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void mp_clear(mp_int *a);
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/* init a null terminated series of arguments */
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mp_err mp_init_multi(mp_int *mp, ...) MP_NULL_TERMINATED MP_WUR;
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/* clear a null terminated series of arguments */
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void mp_clear_multi(mp_int *mp, ...) MP_NULL_TERMINATED;
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/* exchange two ints */
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void mp_exch(mp_int *a, mp_int *b);
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/* shrink ram required for a bignum */
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mp_err mp_shrink(mp_int *a) MP_WUR;
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/* grow an int to a given size */
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mp_err mp_grow(mp_int *a, int size) MP_WUR;
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/* init to a given number of digits */
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mp_err mp_init_size(mp_int *a, int size) MP_WUR;
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/* ---> Basic Manipulations <--- */
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#define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO)
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mp_bool mp_iseven(const mp_int *a) MP_WUR;
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mp_bool mp_isodd(const mp_int *a) MP_WUR;
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#define mp_isneg(a) (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO)
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/* set to zero */
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void mp_zero(mp_int *a);
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/* set to a digit */
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void mp_set(mp_int *a, mp_digit b);
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/* set a double */
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mp_err mp_set_double(mp_int *a, double b) MP_WUR;
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/* set a 32-bit const */
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/* TODO void - never fails */ mp_err mp_set_int(mp_int *a, unsigned long b);
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/* set a platform dependent unsigned long value */
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/* TODO void - never fails */ mp_err mp_set_long(mp_int *a, unsigned long b);
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/* set a platform dependent unsigned long long value */
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/* TODO void - never fails */ mp_err mp_set_long_long(mp_int *a, unsigned long long b);
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/* get a double */
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double mp_get_double(const mp_int *a) MP_WUR;
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/* get a 32-bit value */
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unsigned long mp_get_int(const mp_int *a) MP_WUR;
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/* get a platform dependent unsigned long value */
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unsigned long mp_get_long(const mp_int *a) MP_WUR;
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/* get a platform dependent unsigned long long value */
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unsigned long long mp_get_long_long(const mp_int *a) MP_WUR;
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/* initialize and set a digit */
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mp_err mp_init_set(mp_int *a, mp_digit b) MP_WUR;
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/* initialize and set 32-bit value */
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mp_err mp_init_set_int(mp_int *a, unsigned long b) MP_WUR;
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/* copy, b = a */
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mp_err mp_copy(const mp_int *a, mp_int *b) MP_WUR;
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/* inits and copies, a = b */
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mp_err mp_init_copy(mp_int *a, const mp_int *b) MP_WUR;
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/* trim unused digits */
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void mp_clamp(mp_int *a);
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/* import binary data */
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mp_err mp_import(mp_int *rop, size_t count, int order, size_t size, int endian, size_t nails, const void *op) MP_WUR;
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/* export binary data */
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mp_err mp_export(void *rop, size_t *countp, int order, size_t size, int endian, size_t nails, const mp_int *op) MP_WUR;
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/* ---> digit manipulation <--- */
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/* right shift by "b" digits */
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void mp_rshd(mp_int *a, int b);
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/* left shift by "b" digits */
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mp_err mp_lshd(mp_int *a, int b) MP_WUR;
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/* c = a / 2**b, implemented as c = a >> b */
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mp_err mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d) MP_WUR;
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/* b = a/2 */
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mp_err mp_div_2(const mp_int *a, mp_int *b) MP_WUR;
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/* c = a * 2**b, implemented as c = a << b */
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mp_err mp_mul_2d(const mp_int *a, int b, mp_int *c) MP_WUR;
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/* b = a*2 */
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mp_err mp_mul_2(const mp_int *a, mp_int *b) MP_WUR;
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/* c = a mod 2**b */
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mp_err mp_mod_2d(const mp_int *a, int b, mp_int *c) MP_WUR;
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/* computes a = 2**b */
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mp_err mp_2expt(mp_int *a, int b) MP_WUR;
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/* Counts the number of lsbs which are zero before the first zero bit */
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int mp_cnt_lsb(const mp_int *a) MP_WUR;
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/* I Love Earth! */
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/* makes a pseudo-random mp_int of a given size */
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mp_err mp_rand(mp_int *a, int digits) MP_WUR;
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/* makes a pseudo-random small int of a given size */
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MP_DEPRECATED(mp_rand) mp_err mp_rand_digit(mp_digit *r) MP_WUR;
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/* use custom random data source instead of source provided the platform */
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void mp_rand_source(mp_err source(void *out, size_t size));
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#ifdef MP_PRNG_ENABLE_LTM_RNG
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# warning MP_PRNG_ENABLE_LTM_RNG has been deprecated, use mp_rand_source instead.
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/* A last resort to provide random data on systems without any of the other
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* implemented ways to gather entropy.
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* It is compatible with `rng_get_bytes()` from libtomcrypt so you could
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* provide that one and then set `ltm_rng = rng_get_bytes;` */
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extern unsigned long (*ltm_rng)(unsigned char *out, unsigned long outlen, void (*callback)(void));
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extern void (*ltm_rng_callback)(void);
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#endif
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/* ---> binary operations <--- */
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/* c = a XOR b */
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mp_err mp_xor(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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/* c = a OR b */
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mp_err mp_or(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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/* c = a AND b */
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mp_err mp_and(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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/* Checks the bit at position b and returns MP_YES
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* if the bit is 1, MP_NO if it is 0 and MP_VAL
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* in case of error
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*/
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MP_DEPRECATED(s_mp_get_bit) int mp_get_bit(const mp_int *a, int b) MP_WUR;
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/* c = a XOR b (two complement) */
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mp_err mp_tc_xor(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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/* c = a OR b (two complement) */
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mp_err mp_tc_or(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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/* c = a AND b (two complement) */
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mp_err mp_tc_and(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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/* right shift (two complement) */
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mp_err mp_tc_div_2d(const mp_int *a, int b, mp_int *c) MP_WUR;
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/* ---> Basic arithmetic <--- */
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/* b = ~a */
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mp_err mp_complement(const mp_int *a, mp_int *b) MP_WUR;
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/* b = -a */
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mp_err mp_neg(const mp_int *a, mp_int *b) MP_WUR;
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/* b = |a| */
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mp_err mp_abs(const mp_int *a, mp_int *b) MP_WUR;
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/* compare a to b */
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mp_ord mp_cmp(const mp_int *a, const mp_int *b) MP_WUR;
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/* compare |a| to |b| */
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mp_ord mp_cmp_mag(const mp_int *a, const mp_int *b) MP_WUR;
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/* c = a + b */
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mp_err mp_add(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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/* c = a - b */
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mp_err mp_sub(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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/* c = a * b */
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mp_err mp_mul(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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/* b = a*a */
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mp_err mp_sqr(const mp_int *a, mp_int *b) MP_WUR;
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/* a/b => cb + d == a */
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mp_err mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) MP_WUR;
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/* c = a mod b, 0 <= c < b */
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mp_err mp_mod(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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/* ---> single digit functions <--- */
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/* compare against a single digit */
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mp_ord mp_cmp_d(const mp_int *a, mp_digit b) MP_WUR;
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/* c = a + b */
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mp_err mp_add_d(const mp_int *a, mp_digit b, mp_int *c) MP_WUR;
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/* Increment "a" by one like "a++". Changes input! */
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mp_err mp_incr(mp_int *a) MP_WUR;
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/* c = a - b */
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mp_err mp_sub_d(const mp_int *a, mp_digit b, mp_int *c) MP_WUR;
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/* Decrement "a" by one like "a--". Changes input! */
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mp_err mp_decr(mp_int *a) MP_WUR;
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/* c = a * b */
|
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mp_err mp_mul_d(const mp_int *a, mp_digit b, mp_int *c) MP_WUR;
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/* a/b => cb + d == a */
|
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mp_err mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d) MP_WUR;
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|
|
/* a/3 => 3c + d == a */
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mp_err mp_div_3(const mp_int *a, mp_int *c, mp_digit *d) MP_WUR;
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/* c = a**b */
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mp_err mp_expt_d(const mp_int *a, mp_digit b, mp_int *c) MP_WUR;
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mp_err mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) MP_WUR;
|
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/* c = a mod b, 0 <= c < b */
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mp_err mp_mod_d(const mp_int *a, mp_digit b, mp_digit *c) MP_WUR;
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/* ---> number theory <--- */
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/* d = a + b (mod c) */
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mp_err mp_addmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) MP_WUR;
|
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|
/* d = a - b (mod c) */
|
|
mp_err mp_submod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) MP_WUR;
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|
/* d = a * b (mod c) */
|
|
mp_err mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) MP_WUR;
|
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|
|
/* c = a * a (mod b) */
|
|
mp_err mp_sqrmod(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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/* c = 1/a (mod b) */
|
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mp_err mp_invmod(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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/* c = (a, b) */
|
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mp_err mp_gcd(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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/* produces value such that U1*a + U2*b = U3 */
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mp_err mp_exteuclid(const mp_int *a, const mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) MP_WUR;
|
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|
|
/* c = [a, b] or (a*b)/(a, b) */
|
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mp_err mp_lcm(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR;
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/* finds one of the b'th root of a, such that |c|**b <= |a|
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|
*
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* returns error if a < 0 and b is even
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*/
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mp_err mp_n_root(const mp_int *a, mp_digit b, mp_int *c) MP_WUR;
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mp_err mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) MP_WUR;
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/* special sqrt algo */
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mp_err mp_sqrt(const mp_int *arg, mp_int *ret) MP_WUR;
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/* special sqrt (mod prime) */
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mp_err mp_sqrtmod_prime(const mp_int *n, const mp_int *prime, mp_int *ret) MP_WUR;
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/* is number a square? */
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mp_err mp_is_square(const mp_int *arg, mp_bool *ret) MP_WUR;
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/* computes the jacobi c = (a | n) (or Legendre if b is prime) */
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MP_DEPRECATED(mp_kronecker) mp_err mp_jacobi(const mp_int *a, const mp_int *n, int *c) MP_WUR;
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/* computes the Kronecker symbol c = (a | p) (like jacobi() but with {a,p} in Z */
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mp_err mp_kronecker(const mp_int *a, const mp_int *p, int *c) MP_WUR;
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|
|
|
/* used to setup the Barrett reduction for a given modulus b */
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mp_err mp_reduce_setup(mp_int *a, const mp_int *b) MP_WUR;
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/* Barrett Reduction, computes a (mod b) with a precomputed value c
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*
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* Assumes that 0 < x <= m*m, note if 0 > x > -(m*m) then you can merely
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* compute the reduction as -1 * mp_reduce(mp_abs(x)) [pseudo code].
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*/
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mp_err mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu) MP_WUR;
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/* setups the montgomery reduction */
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mp_err mp_montgomery_setup(const mp_int *n, mp_digit *rho) MP_WUR;
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|
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/* computes a = B**n mod b without division or multiplication useful for
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|
* normalizing numbers in a Montgomery system.
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*/
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mp_err mp_montgomery_calc_normalization(mp_int *a, const mp_int *b) MP_WUR;
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/* computes x/R == x (mod N) via Montgomery Reduction */
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mp_err mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) MP_WUR;
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|
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/* returns 1 if a is a valid DR modulus */
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mp_bool mp_dr_is_modulus(const mp_int *a) MP_WUR;
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/* sets the value of "d" required for mp_dr_reduce */
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void mp_dr_setup(const mp_int *a, mp_digit *d);
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/* reduces a modulo n using the Diminished Radix method */
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mp_err mp_dr_reduce(mp_int *x, const mp_int *n, mp_digit k) MP_WUR;
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|
|
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/* returns true if a can be reduced with mp_reduce_2k */
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mp_bool mp_reduce_is_2k(const mp_int *a) MP_WUR;
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/* determines k value for 2k reduction */
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mp_err mp_reduce_2k_setup(const mp_int *a, mp_digit *d) MP_WUR;
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/* reduces a modulo b where b is of the form 2**p - k [0 <= a] */
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mp_err mp_reduce_2k(mp_int *a, const mp_int *n, mp_digit d) MP_WUR;
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|
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/* returns true if a can be reduced with mp_reduce_2k_l */
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mp_bool mp_reduce_is_2k_l(const mp_int *a) MP_WUR;
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|
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/* determines k value for 2k reduction */
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mp_err mp_reduce_2k_setup_l(const mp_int *a, mp_int *d) MP_WUR;
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/* reduces a modulo b where b is of the form 2**p - k [0 <= a] */
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mp_err mp_reduce_2k_l(mp_int *a, const mp_int *n, const mp_int *d) MP_WUR;
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|
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/* Y = G**X (mod P) */
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mp_err mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y) MP_WUR;
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|
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/* ---> Primes <--- */
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|
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/* number of primes */
|
|
#ifdef MP_8BIT
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# define MP_PRIME_SIZE 31
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#else
|
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# define MP_PRIME_SIZE 256
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#endif
|
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#define PRIME_SIZE (MP_DEPRECATED_PRAGMA("PRIME_SIZE has been deprecated, use MP_PRIME_SIZE") MP_PRIME_SIZE)
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/* table of first MP_PRIME_SIZE primes */
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extern const mp_digit ltm_prime_tab[MP_PRIME_SIZE];
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|
/* result=1 if a is divisible by one of the first MP_PRIME_SIZE primes */
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mp_err mp_prime_is_divisible(const mp_int *a, mp_bool *result) MP_WUR;
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|
|
/* performs one Fermat test of "a" using base "b".
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|
* Sets result to 0 if composite or 1 if probable prime
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|
*/
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|
mp_err mp_prime_fermat(const mp_int *a, const mp_int *b, mp_bool *result) MP_WUR;
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/* performs one Miller-Rabin test of "a" using base "b".
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* Sets result to 0 if composite or 1 if probable prime
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*/
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mp_err mp_prime_miller_rabin(const mp_int *a, const mp_int *b, mp_bool *result) MP_WUR;
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/* This gives [for a given bit size] the number of trials required
|
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* such that Miller-Rabin gives a prob of failure lower than 2^-96
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*/
|
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int mp_prime_rabin_miller_trials(int size) MP_WUR;
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|
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/* performs one strong Lucas-Selfridge test of "a".
|
|
* Sets result to 0 if composite or 1 if probable prime
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|
*/
|
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mp_err mp_prime_strong_lucas_selfridge(const mp_int *a, mp_bool *result) MP_WUR;
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|
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/* performs one Frobenius test of "a" as described by Paul Underwood.
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|
* Sets result to 0 if composite or 1 if probable prime
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*/
|
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mp_err mp_prime_frobenius_underwood(const mp_int *N, mp_bool *result) MP_WUR;
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/* performs t random rounds of Miller-Rabin on "a" additional to
|
|
* bases 2 and 3. Also performs an initial sieve of trial
|
|
* division. Determines if "a" is prime with probability
|
|
* of error no more than (1/4)**t.
|
|
* Both a strong Lucas-Selfridge to complete the BPSW test
|
|
* and a separate Frobenius test are available at compile time.
|
|
* With t<0 a deterministic test is run for primes up to
|
|
* 318665857834031151167461. With t<13 (abs(t)-13) additional
|
|
* tests with sequential small primes are run starting at 43.
|
|
* Is Fips 186.4 compliant if called with t as computed by
|
|
* mp_prime_rabin_miller_trials();
|
|
*
|
|
* Sets result to 1 if probably prime, 0 otherwise
|
|
*/
|
|
mp_err mp_prime_is_prime(const mp_int *a, int t, mp_bool *result) MP_WUR;
|
|
|
|
/* finds the next prime after the number "a" using "t" trials
|
|
* of Miller-Rabin.
|
|
*
|
|
* bbs_style = 1 means the prime must be congruent to 3 mod 4
|
|
*/
|
|
mp_err mp_prime_next_prime(mp_int *a, int t, int bbs_style) MP_WUR;
|
|
|
|
/* makes a truly random prime of a given size (bytes),
|
|
* call with bbs = 1 if you want it to be congruent to 3 mod 4
|
|
*
|
|
* You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can
|
|
* have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself
|
|
* so it can be NULL
|
|
*
|
|
* The prime generated will be larger than 2^(8*size).
|
|
*/
|
|
#define mp_prime_random(a, t, size, bbs, cb, dat) (MP_DEPRECATED_PRAGMA("mp_prime_random has been deprecated, use mp_prime_rand instead") mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?MP_PRIME_BBS:0, cb, dat))
|
|
|
|
/* makes a truly random prime of a given size (bits),
|
|
*
|
|
* Flags are as follows:
|
|
*
|
|
* MP_PRIME_BBS - make prime congruent to 3 mod 4
|
|
* MP_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies MP_PRIME_BBS)
|
|
* MP_PRIME_2MSB_ON - make the 2nd highest bit one
|
|
*
|
|
* You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can
|
|
* have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself
|
|
* so it can be NULL
|
|
*
|
|
*/
|
|
MP_DEPRECATED(mp_prime_rand) mp_err mp_prime_random_ex(mp_int *a, int t, int size, int flags,
|
|
private_mp_prime_callback cb, void *dat) MP_WUR;
|
|
mp_err mp_prime_rand(mp_int *a, int t, int size, int flags) MP_WUR;
|
|
|
|
/* Integer logarithm to integer base */
|
|
mp_err mp_ilogb(const mp_int *a, mp_digit base, mp_int *c) MP_WUR;
|
|
|
|
/* ---> radix conversion <--- */
|
|
int mp_count_bits(const mp_int *a) MP_WUR;
|
|
|
|
int mp_unsigned_bin_size(const mp_int *a) MP_WUR;
|
|
mp_err mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c) MP_WUR;
|
|
mp_err mp_to_unsigned_bin(const mp_int *a, unsigned char *b) MP_WUR;
|
|
mp_err mp_to_unsigned_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen) MP_WUR;
|
|
|
|
int mp_signed_bin_size(const mp_int *a) MP_WUR;
|
|
mp_err mp_read_signed_bin(mp_int *a, const unsigned char *b, int c) MP_WUR;
|
|
mp_err mp_to_signed_bin(const mp_int *a, unsigned char *b) MP_WUR;
|
|
mp_err mp_to_signed_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen) MP_WUR;
|
|
|
|
mp_err mp_read_radix(mp_int *a, const char *str, int radix) MP_WUR;
|
|
mp_err mp_toradix(const mp_int *a, char *str, int radix) MP_WUR;
|
|
mp_err mp_toradix_n(const mp_int *a, char *str, int radix, int maxlen) MP_WUR;
|
|
mp_err mp_radix_size(const mp_int *a, int radix, int *size) MP_WUR;
|
|
|
|
#ifndef MP_NO_FILE
|
|
mp_err mp_fread(mp_int *a, int radix, FILE *stream) MP_WUR;
|
|
mp_err mp_fwrite(const mp_int *a, int radix, FILE *stream) MP_WUR;
|
|
#endif
|
|
|
|
#define mp_read_raw(mp, str, len) (MP_DEPRECATED_PRAGMA("replaced by mp_read_signed_bin") mp_read_signed_bin((mp), (str), (len)))
|
|
#define mp_raw_size(mp) (MP_DEPRECATED_PRAGMA("replaced by mp_signed_bin_size") mp_signed_bin_size(mp))
|
|
#define mp_toraw(mp, str) (MP_DEPRECATED_PRAGMA("replaced by mp_to_signed_bin") mp_to_signed_bin((mp), (str)))
|
|
#define mp_read_mag(mp, str, len) (MP_DEPRECATED_PRAGMA("replaced by mp_read_unsigned_bin") mp_read_unsigned_bin((mp), (str), (len))
|
|
#define mp_mag_size(mp) (MP_DEPRECATED_PRAGMA("replaced by mp_unsigned_bin_size") mp_unsigned_bin_size(mp))
|
|
#define mp_tomag(mp, str) (MP_DEPRECATED_PRAGMA("replaced by mp_to_unsigned_bin") mp_to_unsigned_bin((mp), (str)))
|
|
|
|
#define mp_tobinary(M, S) mp_toradix((M), (S), 2)
|
|
#define mp_tooctal(M, S) mp_toradix((M), (S), 8)
|
|
#define mp_todecimal(M, S) mp_toradix((M), (S), 10)
|
|
#define mp_tohex(M, S) mp_toradix((M), (S), 16)
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|
|
|
|
#endif
|