dropbear: libtommath/tommath.h annotate

annotate libtommath/tommath.h @ 1490:9b87cbe931e3

build: Remove unused constructs: `space' and `AC_PROG_MAKE_SET' The makefile variable `space' is never used. The autoconf output variable `SET_MAKE' is never used, so the autoconf macro `AC_PROG_MAKE_SET' has been removed.

author	Michael Witten <mfwitten@gmail.com>
date	Mon, 31 Jul 2017 23:55:52 +0000
parents	8bba51a55704
children	f52919ffd3b1

rev	line source
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	1 /* LibTomMath, multiple-precision integer library -- Tom St Denis
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	2 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	3 * LibTomMath is a library that provides multiple-precision
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	4 * integer arithmetic as well as number theoretic functionality.
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	5 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	6 * The library was designed directly after the MPI library by
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	7 * Michael Fromberger but has been written from scratch with
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	8 * additional optimizations in place.
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	9 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	10 * The library is free for all purposes without any express
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	11 * guarantee it works.
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	12 *
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	13 * Tom St Denis, [email protected], http://math.libtomcrypt.com
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	14 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	15 #ifndef BN_H_
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	16 #define BN_H_
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	17
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	18 #include <stdio.h>
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	19 #include <stdlib.h>
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	20 #include <stdint.h>
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	21 #include <limits.h>
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	22
389 5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e) Matt Johnston <matt@ucc.asn.au> parents: 284 diff changeset	23 #include "tommath_class.h"
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	24
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	25 #ifdef __cplusplus
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	26 extern "C" {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	27 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	28
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	29 /* detect 64-bit mode if possible */
1470 8bba51a55704 Update to libtommath v1.0.1 Matt Johnston <matt@ucc.asn.au> parents: 1436 diff changeset	30 #if defined(__x86_64__) \|\| defined(_M_X64) \|\| defined(_M_AMD64) \|\| \
8bba51a55704 Update to libtommath v1.0.1 Matt Johnston <matt@ucc.asn.au> parents: 1436 diff changeset	31 defined(__powerpc64__) \|\| defined(__ppc64__) \|\| defined(__PPC64__) \|\| \
8bba51a55704 Update to libtommath v1.0.1 Matt Johnston <matt@ucc.asn.au> parents: 1436 diff changeset	32 defined(__s390x__) \|\| defined(__arch64__) \|\| defined(__aarch64__) \|\| \
8bba51a55704 Update to libtommath v1.0.1 Matt Johnston <matt@ucc.asn.au> parents: 1436 diff changeset	33 defined(__sparcv9) \|\| defined(__sparc_v9__) \|\| defined(__sparc64__) \|\| \
8bba51a55704 Update to libtommath v1.0.1 Matt Johnston <matt@ucc.asn.au> parents: 1436 diff changeset	34 defined(__ia64) \|\| defined(__ia64__) \|\| defined(__itanium__) \|\| defined(_M_IA64) \|\| \
8bba51a55704 Update to libtommath v1.0.1 Matt Johnston <matt@ucc.asn.au> parents: 1436 diff changeset	35 defined(__LP64__) \|\| defined(_LP64) \|\| defined(__64BIT__)
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	36 #if !(defined(MP_32BIT) \|\| defined(MP_16BIT) \|\| defined(MP_8BIT))
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	37 #define MP_64BIT
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	38 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	39 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	40
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	41 /* some default configurations.
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	42 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	43 * A "mp_digit" must be able to hold DIGIT_BIT + 1 bits
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	44 * A "mp_word" must be able to hold 2*DIGIT_BIT + 1 bits
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	45 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	46 * At the very least a mp_digit must be able to hold 7 bits
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	47 * [any size beyond that is ok provided it doesn't overflow the data type]
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	48 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	49 #ifdef MP_8BIT
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	50 typedef uint8_t mp_digit;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	51 typedef uint16_t mp_word;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	52 #define MP_SIZEOF_MP_DIGIT 1
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	53 #ifdef DIGIT_BIT
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	54 #error You must not define DIGIT_BIT when using MP_8BIT
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	55 #endif
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	56 #elif defined(MP_16BIT)
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	57 typedef uint16_t mp_digit;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	58 typedef uint32_t mp_word;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	59 #define MP_SIZEOF_MP_DIGIT 2
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	60 #ifdef DIGIT_BIT
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	61 #error You must not define DIGIT_BIT when using MP_16BIT
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	62 #endif
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	63 #elif defined(MP_64BIT)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	64 /* for GCC only on supported platforms */
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	65 typedef uint64_t mp_digit;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	66 #if defined(_WIN32)
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	67 typedef unsigned __int128 mp_word;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	68 #elif defined(__GNUC__)
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	69 typedef unsigned long mp_word __attribute__ ((mode(TI)));
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	70 #else
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	71 /* it seems you have a problem
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	72 * but we assume you can somewhere define your own uint128_t */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	73 typedef uint128_t mp_word;
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	74 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	75
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	76 #define DIGIT_BIT 60
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	77 #else
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	78 /* this is the default case, 28-bit digits */
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	79
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	80 /* this is to make porting into LibTomCrypt easier :-) */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	81 typedef uint32_t mp_digit;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	82 typedef uint64_t mp_word;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	83
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	84 #ifdef MP_31BIT
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	85 /* this is an extension that uses 31-bit digits */
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	86 #define DIGIT_BIT 31
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	87 #else
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	88 /* default case is 28-bit digits, defines MP_28BIT as a handy macro to test */
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	89 #define DIGIT_BIT 28
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	90 #define MP_28BIT
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	91 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	92 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	93
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	94 /* otherwise the bits per digit is calculated automatically from the size of a mp_digit */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	95 #ifndef DIGIT_BIT
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	96 #define DIGIT_BIT (((CHAR_BIT * MP_SIZEOF_MP_DIGIT) - 1)) /* bits per digit */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	97 typedef uint_least32_t mp_min_u32;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	98 #else
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	99 typedef mp_digit mp_min_u32;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	100 #endif
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	101
1470 8bba51a55704 Update to libtommath v1.0.1 Matt Johnston <matt@ucc.asn.au> parents: 1436 diff changeset	102 /* use arc4random on platforms that support it */
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	103 #if defined(__FreeBSD__) \|\| defined(__OpenBSD__) \|\| defined(__NetBSD__) \|\| defined(__DragonFly__)
1470 8bba51a55704 Update to libtommath v1.0.1 Matt Johnston <matt@ucc.asn.au> parents: 1436 diff changeset	104 #define MP_GEN_RANDOM() arc4random()
8bba51a55704 Update to libtommath v1.0.1 Matt Johnston <matt@ucc.asn.au> parents: 1436 diff changeset	105 #define MP_GEN_RANDOM_MAX 0xffffffff
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	106 #endif
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	107
1470 8bba51a55704 Update to libtommath v1.0.1 Matt Johnston <matt@ucc.asn.au> parents: 1436 diff changeset	108 /* use rand() as fall-back if there's no better rand function */
8bba51a55704 Update to libtommath v1.0.1 Matt Johnston <matt@ucc.asn.au> parents: 1436 diff changeset	109 #ifndef MP_GEN_RANDOM
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	110 #define MP_GEN_RANDOM() rand()
1470 8bba51a55704 Update to libtommath v1.0.1 Matt Johnston <matt@ucc.asn.au> parents: 1436 diff changeset	111 #define MP_GEN_RANDOM_MAX RAND_MAX
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	112 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	113
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	114 #define MP_DIGIT_BIT DIGIT_BIT
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	115 #define MP_MASK ((((mp_digit)1)<<((mp_digit)DIGIT_BIT))-((mp_digit)1))
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	116 #define MP_DIGIT_MAX MP_MASK
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	117
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	118 /* equalities */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	119 #define MP_LT -1 /* less than */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	120 #define MP_EQ 0 /* equal to */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	121 #define MP_GT 1 /* greater than */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	122
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	123 #define MP_ZPOS 0 /* positive integer */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	124 #define MP_NEG 1 /* negative */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	125
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	126 #define MP_OKAY 0 /* ok result */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	127 #define MP_MEM -2 /* out of mem */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	128 #define MP_VAL -3 /* invalid input */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	129 #define MP_RANGE MP_VAL
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	130
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	131 #define MP_YES 1 /* yes response */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	132 #define MP_NO 0 /* no response */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	133
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	134 /* Primality generation flags */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	135 #define LTM_PRIME_BBS 0x0001 /* BBS style prime */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	136 #define LTM_PRIME_SAFE 0x0002 /* Safe prime (p-1)/2 == prime */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	137 #define LTM_PRIME_2MSB_ON 0x0008 /* force 2nd MSB to 1 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	138
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	139 typedef int mp_err;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	140
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	141 /* you'll have to tune these... */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	142 extern int KARATSUBA_MUL_CUTOFF,
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	143 KARATSUBA_SQR_CUTOFF,
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	144 TOOM_MUL_CUTOFF,
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	145 TOOM_SQR_CUTOFF;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	146
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	147 /* define this to use lower memory usage routines (exptmods mostly) */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	148 /* #define MP_LOW_MEM */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	149
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	150 /* default precision */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	151 #ifndef MP_PREC
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	152 #ifndef MP_LOW_MEM
389 5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e) Matt Johnston <matt@ucc.asn.au> parents: 284 diff changeset	153 #define MP_PREC 32 /* default digits of precision */
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	154 #else
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	155 #define MP_PREC 8 /* default digits of precision */
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	156 #endif
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	157 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	158
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	159 /* size of comba arrays, should be at least 2 * 2*(BITS_PER_WORD - BITS_PER_DIGIT2) */
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	160 #define MP_WARRAY (1 << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) + 1))
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	161
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	162 /* the infamous mp_int structure */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	163 typedef struct {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	164 int used, alloc, sign;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	165 mp_digit *dp;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	166 } mp_int;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	167
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	168 /* callback for mp_prime_random, should fill dst with random bytes and return how many read [upto len] */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	169 typedef int ltm_prime_callback(unsigned char dst, int len, void dat);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	170
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	171
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	172 #define USED(m) ((m)->used)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	173 #define DIGIT(m,k) ((m)->dp[(k)])
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	174 #define SIGN(m) ((m)->sign)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	175
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	176 /* error code to char* string */
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	177 const char *mp_error_to_string(int code);
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	178
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	179 /* ---> init and deinit bignum functions <--- */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	180 /* init a bignum */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	181 int mp_init(mp_int *a);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	182
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	183 /* free a bignum */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	184 void mp_clear(mp_int *a);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	185
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	186 /* init a null terminated series of arguments */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	187 int mp_init_multi(mp_int *mp, ...);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	188
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	189 /* clear a null terminated series of arguments */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	190 void mp_clear_multi(mp_int *mp, ...);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	191
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	192 /* exchange two ints */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	193 void mp_exch(mp_int a, mp_int b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	194
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	195 /* shrink ram required for a bignum */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	196 int mp_shrink(mp_int *a);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	197
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	198 /* grow an int to a given size */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	199 int mp_grow(mp_int *a, int size);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	200
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	201 /* init to a given number of digits */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	202 int mp_init_size(mp_int *a, int size);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	203
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	204 /* ---> Basic Manipulations <--- */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	205 #define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO)
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	206 #define mp_iseven(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 0u)) ? MP_YES : MP_NO)
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	207 #define mp_isodd(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 1u)) ? MP_YES : MP_NO)
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	208 #define mp_isneg(a) (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO)
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	209
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	210 /* set to zero */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	211 void mp_zero(mp_int *a);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	212
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	213 /* set to a digit */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	214 void mp_set(mp_int *a, mp_digit b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	215
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	216 /* set a 32-bit const */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	217 int mp_set_int(mp_int *a, unsigned long b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	218
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	219 /* set a platform dependent unsigned long value */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	220 int mp_set_long(mp_int *a, unsigned long b);
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	221
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	222 /* set a platform dependent unsigned long long value */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	223 int mp_set_long_long(mp_int *a, unsigned long long b);
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	224
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	225 /* get a 32-bit value */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	226 unsigned long mp_get_int(mp_int * a);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	227
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	228 /* get a platform dependent unsigned long value */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	229 unsigned long mp_get_long(mp_int * a);
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	230
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	231 /* get a platform dependent unsigned long long value */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	232 unsigned long long mp_get_long_long(mp_int * a);
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	233
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	234 /* initialize and set a digit */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	235 int mp_init_set (mp_int * a, mp_digit b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	236
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	237 /* initialize and set 32-bit value */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	238 int mp_init_set_int (mp_int * a, unsigned long b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	239
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	240 /* copy, b = a */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	241 int mp_copy(mp_int a, mp_int b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	242
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	243 /* inits and copies, a = b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	244 int mp_init_copy(mp_int a, mp_int b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	245
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	246 /* trim unused digits */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	247 void mp_clamp(mp_int *a);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	248
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	249 /* import binary data */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	250 int mp_import(mp_int* rop, size_t count, int order, size_t size, int endian, size_t nails, const void* op);
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	251
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	252 /* export binary data */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	253 int mp_export(void* rop, size_t* countp, int order, size_t size, int endian, size_t nails, mp_int* op);
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	254
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	255 /* ---> digit manipulation <--- */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	256
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	257 /* right shift by "b" digits */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	258 void mp_rshd(mp_int *a, int b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	259
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	260 /* left shift by "b" digits */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	261 int mp_lshd(mp_int *a, int b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	262
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	263 /* c = a / 2*b, implemented as c = a >> b /
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	264 int mp_div_2d(mp_int a, int b, mp_int c, mp_int *d);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	265
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	266 /* b = a/2 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	267 int mp_div_2(mp_int a, mp_int b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	268
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	269 /* c = a * 2*b, implemented as c = a << b /
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	270 int mp_mul_2d(mp_int a, int b, mp_int c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	271
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	272 /* b = a2 /
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	273 int mp_mul_2(mp_int a, mp_int b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	274
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	275 /* c = a mod 2*b /
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	276 int mp_mod_2d(mp_int a, int b, mp_int c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	277
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	278 /* computes a = 2*b /
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	279 int mp_2expt(mp_int *a, int b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	280
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	281 /* Counts the number of lsbs which are zero before the first zero bit */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	282 int mp_cnt_lsb(mp_int *a);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	283
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	284 /* I Love Earth! */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	285
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	286 /* makes a pseudo-random int of a given size */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	287 int mp_rand(mp_int *a, int digits);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	288
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	289 /* ---> binary operations <--- */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	290 /* c = a XOR b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	291 int mp_xor(mp_int a, mp_int b, mp_int *c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	292
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	293 /* c = a OR b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	294 int mp_or(mp_int a, mp_int b, mp_int *c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	295
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	296 /* c = a AND b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	297 int mp_and(mp_int a, mp_int b, mp_int *c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	298
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	299 /* ---> Basic arithmetic <--- */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	300
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	301 /* b = -a */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	302 int mp_neg(mp_int a, mp_int b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	303
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	304 /* b = \|a\| */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	305 int mp_abs(mp_int a, mp_int b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	306
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	307 /* compare a to b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	308 int mp_cmp(mp_int a, mp_int b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	309
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	310 /* compare \|a\| to \|b\| */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	311 int mp_cmp_mag(mp_int a, mp_int b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	312
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	313 /* c = a + b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	314 int mp_add(mp_int a, mp_int b, mp_int *c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	315
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	316 /* c = a - b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	317 int mp_sub(mp_int a, mp_int b, mp_int *c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	318
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	319 /* c = a * b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	320 int mp_mul(mp_int a, mp_int b, mp_int *c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	321
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	322 /* b = aa /
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	323 int mp_sqr(mp_int a, mp_int b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	324
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	325 /* a/b => cb + d == a */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	326 int mp_div(mp_int a, mp_int b, mp_int c, mp_int d);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	327
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	328 /* c = a mod b, 0 <= c < b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	329 int mp_mod(mp_int a, mp_int b, mp_int *c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	330
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	331 /* ---> single digit functions <--- */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	332
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	333 /* compare against a single digit */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	334 int mp_cmp_d(mp_int *a, mp_digit b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	335
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	336 /* c = a + b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	337 int mp_add_d(mp_int a, mp_digit b, mp_int c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	338
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	339 /* c = a - b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	340 int mp_sub_d(mp_int a, mp_digit b, mp_int c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	341
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	342 /* c = a * b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	343 int mp_mul_d(mp_int a, mp_digit b, mp_int c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	344
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	345 /* a/b => cb + d == a */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	346 int mp_div_d(mp_int a, mp_digit b, mp_int c, mp_digit *d);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	347
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	348 /* a/3 => 3c + d == a */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	349 int mp_div_3(mp_int a, mp_int c, mp_digit *d);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	350
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	351 /* c = a*b /
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	352 int mp_expt_d(mp_int a, mp_digit b, mp_int c);
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	353 int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast);
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	354
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	355 /* c = a mod b, 0 <= c < b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	356 int mp_mod_d(mp_int a, mp_digit b, mp_digit c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	357
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	358 /* ---> number theory <--- */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	359
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	360 /* d = a + b (mod c) */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	361 int mp_addmod(mp_int a, mp_int b, mp_int c, mp_int d);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	362
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	363 /* d = a - b (mod c) */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	364 int mp_submod(mp_int a, mp_int b, mp_int c, mp_int d);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	365
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	366 /* d = a * b (mod c) */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	367 int mp_mulmod(mp_int a, mp_int b, mp_int c, mp_int d);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	368
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	369 /* c = a * a (mod b) */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	370 int mp_sqrmod(mp_int a, mp_int b, mp_int *c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	371
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	372 /* c = 1/a (mod b) */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	373 int mp_invmod(mp_int a, mp_int b, mp_int *c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	374
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	375 /* c = (a, b) */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	376 int mp_gcd(mp_int a, mp_int b, mp_int *c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	377
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	378 /* produces value such that U1a + U2b = U3 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	379 int mp_exteuclid(mp_int a, mp_int b, mp_int U1, mp_int U2, mp_int *U3);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	380
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	381 /* c = [a, b] or (ab)/(a, b) /
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	382 int mp_lcm(mp_int a, mp_int b, mp_int *c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	383
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	384 /* finds one of the b'th root of a, such that \|c\|**b <= \|a\|
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	385 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	386 * returns error if a < 0 and b is even
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	387 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	388 int mp_n_root(mp_int a, mp_digit b, mp_int c);
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	389 int mp_n_root_ex (mp_int * a, mp_digit b, mp_int * c, int fast);
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	390
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	391 /* special sqrt algo */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	392 int mp_sqrt(mp_int arg, mp_int ret);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	393
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	394 /* special sqrt (mod prime) */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	395 int mp_sqrtmod_prime(mp_int arg, mp_int prime, mp_int *ret);
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	396
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	397 /* is number a square? */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	398 int mp_is_square(mp_int arg, int ret);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	399
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	400 /* computes the jacobi c = (a \| n) (or Legendre if b is prime) */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	401 int mp_jacobi(mp_int a, mp_int n, int *c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	402
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	403 /* used to setup the Barrett reduction for a given modulus b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	404 int mp_reduce_setup(mp_int a, mp_int b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	405
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	406 /* Barrett Reduction, computes a (mod b) with a precomputed value c
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	407 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	408 * Assumes that 0 < a <= bb, note if 0 > a > -(bb) then you can merely
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	409 * compute the reduction as -1 * mp_reduce(mp_abs(a)) [pseudo code].
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	410 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	411 int mp_reduce(mp_int a, mp_int b, mp_int *c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	412
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	413 /* setups the montgomery reduction */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	414 int mp_montgomery_setup(mp_int a, mp_digit mp);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	415
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	416 /* computes a = B**n mod b without division or multiplication useful for
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	417 * normalizing numbers in a Montgomery system.
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	418 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	419 int mp_montgomery_calc_normalization(mp_int a, mp_int b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	420
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	421 /* computes x/R == x (mod N) via Montgomery Reduction */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	422 int mp_montgomery_reduce(mp_int a, mp_int m, mp_digit mp);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	423
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	424 /* returns 1 if a is a valid DR modulus */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	425 int mp_dr_is_modulus(mp_int *a);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	426
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	427 /* sets the value of "d" required for mp_dr_reduce */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	428 void mp_dr_setup(mp_int a, mp_digit d);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	429
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	430 /* reduces a modulo b using the Diminished Radix method */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	431 int mp_dr_reduce(mp_int a, mp_int b, mp_digit mp);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	432
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	433 /* returns true if a can be reduced with mp_reduce_2k */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	434 int mp_reduce_is_2k(mp_int *a);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	435
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	436 /* determines k value for 2k reduction */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	437 int mp_reduce_2k_setup(mp_int a, mp_digit d);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	438
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	439 /* reduces a modulo b where b is of the form 2*p - k [0 <= a] /
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	440 int mp_reduce_2k(mp_int a, mp_int n, mp_digit d);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	441
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	442 /* returns true if a can be reduced with mp_reduce_2k_l */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	443 int mp_reduce_is_2k_l(mp_int *a);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	444
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	445 /* determines k value for 2k reduction */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	446 int mp_reduce_2k_setup_l(mp_int a, mp_int d);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	447
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	448 /* reduces a modulo b where b is of the form 2*p - k [0 <= a] /
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	449 int mp_reduce_2k_l(mp_int a, mp_int n, mp_int *d);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	450
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	451 /* d = a*b (mod c) /
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	452 int mp_exptmod(mp_int a, mp_int b, mp_int c, mp_int d);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	453
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	454 /* ---> Primes <--- */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	455
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	456 /* number of primes */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	457 #ifdef MP_8BIT
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	458 #define PRIME_SIZE 31
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	459 #else
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	460 #define PRIME_SIZE 256
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	461 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	462
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	463 /* table of first PRIME_SIZE primes */
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	464 extern const mp_digit ltm_prime_tab[PRIME_SIZE];
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	465
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	466 /* result=1 if a is divisible by one of the first PRIME_SIZE primes */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	467 int mp_prime_is_divisible(mp_int a, int result);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	468
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	469 /* performs one Fermat test of "a" using base "b".
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	470 * Sets result to 0 if composite or 1 if probable prime
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	471 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	472 int mp_prime_fermat(mp_int a, mp_int b, int *result);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	473
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	474 /* performs one Miller-Rabin test of "a" using base "b".
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	475 * Sets result to 0 if composite or 1 if probable prime
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	476 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	477 int mp_prime_miller_rabin(mp_int a, mp_int b, int *result);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	478
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	479 /* This gives [for a given bit size] the number of trials required
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	480 * such that Miller-Rabin gives a prob of failure lower than 2^-96
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	481 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	482 int mp_prime_rabin_miller_trials(int size);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	483
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	484 /* performs t rounds of Miller-Rabin on "a" using the first
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	485 * t prime bases. Also performs an initial sieve of trial
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	486 * division. Determines if "a" is prime with probability
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	487 * of error no more than (1/4)**t.
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	488 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	489 * Sets result to 1 if probably prime, 0 otherwise
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	490 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	491 int mp_prime_is_prime(mp_int a, int t, int result);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	492
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	493 /* finds the next prime after the number "a" using "t" trials
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	494 * of Miller-Rabin.
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	495 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	496 * bbs_style = 1 means the prime must be congruent to 3 mod 4
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	497 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	498 int mp_prime_next_prime(mp_int *a, int t, int bbs_style);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	499
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	500 /* makes a truly random prime of a given size (bytes),
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	501 * call with bbs = 1 if you want it to be congruent to 3 mod 4
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	502 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	503 * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	504 * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	505 * so it can be NULL
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	506 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	507 * The prime generated will be larger than 2^(8*size).
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	508 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	509 #define mp_prime_random(a, t, size, bbs, cb, dat) mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?LTM_PRIME_BBS:0, cb, dat)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	510
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	511 /* makes a truly random prime of a given size (bits),
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	512 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	513 * Flags are as follows:
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	514 *
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	515 * LTM_PRIME_BBS - make prime congruent to 3 mod 4
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	516 * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	517 * LTM_PRIME_2MSB_ON - make the 2nd highest bit one
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	518 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	519 * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	520 * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	521 * so it can be NULL
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	522 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	523 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	524 int mp_prime_random_ex(mp_int a, int t, int size, int flags, ltm_prime_callback cb, void dat);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	525
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	526 /* ---> radix conversion <--- */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	527 int mp_count_bits(mp_int *a);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	528
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	529 int mp_unsigned_bin_size(mp_int *a);
389 5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e) Matt Johnston <matt@ucc.asn.au> parents: 284 diff changeset	530 int mp_read_unsigned_bin(mp_int a, const unsigned char b, int c);
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	531 int mp_to_unsigned_bin(mp_int a, unsigned char b);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	532 int mp_to_unsigned_bin_n (mp_int * a, unsigned char b, unsigned long outlen);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	533
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	534 int mp_signed_bin_size(mp_int *a);
389 5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e) Matt Johnston <matt@ucc.asn.au> parents: 284 diff changeset	535 int mp_read_signed_bin(mp_int a, const unsigned char b, int c);
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e) Matt Johnston <matt@ucc.asn.au> parents: 284 diff changeset	536 int mp_to_signed_bin(mp_int a, unsigned char b);
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	537 int mp_to_signed_bin_n (mp_int * a, unsigned char b, unsigned long outlen);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	538
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	539 int mp_read_radix(mp_int a, const char str, int radix);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	540 int mp_toradix(mp_int a, char str, int radix);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	541 int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	542 int mp_radix_size(mp_int a, int radix, int size);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	543
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	544 #ifndef LTM_NO_FILE
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	545 int mp_fread(mp_int a, int radix, FILE stream);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	546 int mp_fwrite(mp_int a, int radix, FILE stream);
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	547 #endif
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	548
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	549 #define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len))
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	550 #define mp_raw_size(mp) mp_signed_bin_size(mp)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	551 #define mp_toraw(mp, str) mp_to_signed_bin((mp), (str))
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	552 #define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len))
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	553 #define mp_mag_size(mp) mp_unsigned_bin_size(mp)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	554 #define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str))
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	555
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	556 #define mp_tobinary(M, S) mp_toradix((M), (S), 2)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	557 #define mp_tooctal(M, S) mp_toradix((M), (S), 8)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	558 #define mp_todecimal(M, S) mp_toradix((M), (S), 10)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	559 #define mp_tohex(M, S) mp_toradix((M), (S), 16)
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	560
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	561 #ifdef __cplusplus
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	562 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	563 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	564
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	565 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	566
389 5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e) Matt Johnston <matt@ucc.asn.au> parents: 284 diff changeset	567
1470 8bba51a55704 Update to libtommath v1.0.1 Matt Johnston <matt@ucc.asn.au> parents: 1436 diff changeset	568 /* ref: $Format:%D$ */
8bba51a55704 Update to libtommath v1.0.1 Matt Johnston <matt@ucc.asn.au> parents: 1436 diff changeset	569 /* git commit: $Format:%H$ */
8bba51a55704 Update to libtommath v1.0.1 Matt Johnston <matt@ucc.asn.au> parents: 1436 diff changeset	570 /* commit time: $Format:%ai$ */

Mercurial > dropbear

annotate libtommath/tommath.h @ 1490:9b87cbe931e3