dropbear: libtommath/tommath.h annotate

annotate libtommath/tommath.h @ 1464:ad637c9e0f6f

Server chosen tcpfwd ports (#43) Server chosen tcpfwd ports

author	houseofkodai <karthik@houseofkodai.in>
date	Thu, 25 Jan 2018 19:51:41 +0530
parents	60fc6476e044
children	8bba51a55704

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 */
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	30 #if defined(__x86_64__)
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	31 #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	32 #define MP_64BIT
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	33 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	34 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	35
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	36 /* some default configurations.
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	37 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	38 * 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	39 * 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	40 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	41 * 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	42 * [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	43 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	44 #ifdef MP_8BIT
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	45 typedef uint8_t mp_digit;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	46 typedef uint16_t mp_word;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	47 #define MP_SIZEOF_MP_DIGIT 1
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	48 #ifdef DIGIT_BIT
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	49 #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	50 #endif
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	51 #elif defined(MP_16BIT)
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	52 typedef uint16_t mp_digit;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	53 typedef uint32_t mp_word;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	54 #define MP_SIZEOF_MP_DIGIT 2
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	55 #ifdef DIGIT_BIT
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	56 #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	57 #endif
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	58 #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	59 /* for GCC only on supported platforms */
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	60 typedef uint64_t mp_digit;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	61 #if defined(_WIN32)
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	62 typedef unsigned __int128 mp_word;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	63 #elif defined(__GNUC__)
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	64 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	65 #else
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	66 /* it seems you have a problem
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	67 * 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	68 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	69 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	70
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	71 #define DIGIT_BIT 60
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	72 #else
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	73 /* 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	74
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	75 /* this is to make porting into LibTomCrypt easier :-) */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	76 typedef uint32_t mp_digit;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	77 typedef uint64_t mp_word;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	78
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	79 #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	80 /* 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	81 #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	82 #else
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	83 /* 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	84 #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	85 #define MP_28BIT
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	86 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	87 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	88
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	89 /* 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	90 #ifndef DIGIT_BIT
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	91 #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	92 typedef uint_least32_t mp_min_u32;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	93 #else
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	94 typedef mp_digit mp_min_u32;
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	95 #endif
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	96
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	97 /* platforms that can use a better rand function */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	98 #if defined(__FreeBSD__) \|\| defined(__OpenBSD__) \|\| defined(__NetBSD__) \|\| defined(__DragonFly__)
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	99 #define MP_USE_ALT_RAND 1
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
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	102 /* use arc4random on platforms that support it */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	103 #ifdef MP_USE_ALT_RAND
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	104 #define MP_GEN_RANDOM() arc4random()
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	105 #else
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	106 #define MP_GEN_RANDOM() rand()
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	107 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	108
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	109 #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	110 #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	111 #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	112
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	113 /* equalities */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	114 #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	115 #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	116 #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	117
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	118 #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	119 #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	120
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	121 #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	122 #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	123 #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	124 #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	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_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	127 #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	128
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	129 /* Primality generation flags */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	130 #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	131 #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	132 #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	133
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	134 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	135
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	136 /* 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	137 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	138 KARATSUBA_SQR_CUTOFF,
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	139 TOOM_MUL_CUTOFF,
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	140 TOOM_SQR_CUTOFF;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	141
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	142 /* 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	143 /* #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	144
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	145 /* default precision */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	146 #ifndef MP_PREC
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	147 #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	148 #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	149 #else
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	150 #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	151 #endif
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	152 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	153
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	154 /* 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	155 #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	156
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	157 /* 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	158 typedef struct {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	159 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	160 mp_digit *dp;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	161 } mp_int;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	162
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	163 /* 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	164 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	165
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	166
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	167 #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	168 #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	169 #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	170
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	171 /* error code to char* string */
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	172 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	173
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	174 /* ---> 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	175 /* init a bignum */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	176 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	177
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	178 /* free a bignum */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	179 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	180
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	181 /* 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	182 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	183
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	184 /* 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	185 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	186
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	187 /* exchange two ints */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	188 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	189
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	190 /* 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	191 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	192
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	193 /* 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	194 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	195
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	196 /* 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	197 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	198
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	199 /* ---> Basic Manipulations <--- */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	200 #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	201 #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	202 #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	203 #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	204
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	205 /* set to zero */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	206 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	207
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	208 /* 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	209 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	210
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	211 /* 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	212 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	213
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	214 /* set a platform dependent unsigned long value */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	215 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	216
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	217 /* set a platform dependent unsigned long long value */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	218 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	219
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	220 /* 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	221 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	222
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	223 /* get a platform dependent unsigned long value */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	224 unsigned long mp_get_long(mp_int * a);
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	225
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	226 /* get a platform dependent unsigned long long value */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	227 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	228
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	229 /* 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	230 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	231
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	232 /* 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	233 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	234
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	235 /* copy, b = a */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	236 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	237
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	238 /* 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	239 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	240
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	241 /* trim unused digits */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	242 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	243
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	244 /* import binary data */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	245 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	246
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	247 /* export binary data */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	248 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	249
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	250 /* ---> digit manipulation <--- */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	251
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	252 /* 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	253 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	254
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	255 /* 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	256 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	257
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	258 /* 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	259 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	260
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	261 /* b = a/2 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	262 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	263
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	264 /* 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	265 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	266
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	267 /* b = a2 /
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	268 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	269
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	270 /* 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	271 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	272
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	273 /* 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	274 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	275
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	276 /* 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	277 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	278
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	279 /* I Love Earth! */
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 /* 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	282 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	283
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	284 /* ---> binary operations <--- */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	285 /* 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	286 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	287
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	288 /* 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	289 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	290
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	291 /* 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	292 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	293
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	294 /* ---> Basic arithmetic <--- */
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 /* b = -a */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	297 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	298
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	299 /* b = \|a\| */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	300 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	301
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	302 /* 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	303 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	304
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	305 /* 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	306 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	307
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	308 /* c = a + b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	309 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	310
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	311 /* c = a - b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	312 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	313
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	314 /* c = a * b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	315 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	316
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	317 /* b = aa /
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	318 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	319
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	320 /* 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	321 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	322
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	323 /* 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	324 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	325
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	326 /* ---> single digit functions <--- */
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 /* 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	329 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	330
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	331 /* c = a + b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	332 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	333
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	334 /* c = a - b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	335 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	336
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	337 /* c = a * b */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	338 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	339
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	340 /* 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	341 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	342
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	343 /* 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	344 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	345
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	346 /* c = a*b /
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	347 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	348 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	349
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	350 /* 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	351 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	352
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	353 /* ---> number theory <--- */
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 /* 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	356 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	357
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	358 /* 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	359 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	360
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	361 /* 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	362 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	363
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	364 /* 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	365 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	366
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	367 /* 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	368 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	369
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	370 /* c = (a, b) */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	371 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	372
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	373 /* 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	374 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	375
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	376 /* 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	377 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	378
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	379 /* 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	380 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	381 * 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	382 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	383 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	384 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	385
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	386 /* special sqrt algo */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	387 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	388
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	389 /* special sqrt (mod prime) */
60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	390 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	391
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	392 /* 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	393 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	394
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	395 /* 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	396 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	397
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	398 /* 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	399 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	400
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	401 /* 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	402 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	403 * 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	404 * 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	405 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	406 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	407
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	408 /* 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	409 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	410
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	411 /* 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	412 * 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	413 */
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_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	415
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	416 /* 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	417 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	418
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	419 /* 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	420 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	421
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	422 /* 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	423 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	424
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	425 /* 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	426 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	427
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	428 /* 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	429 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	430
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	431 /* 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	432 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	433
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	434 /* 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	435 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	436
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	437 /* 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	438 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	439
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	440 /* 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	441 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	442
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	443 /* 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	444 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	445
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	446 /* 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	447 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	448
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	449 /* ---> Primes <--- */
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 /* number of primes */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	452 #ifdef MP_8BIT
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	453 #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	454 #else
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	455 #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	456 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	457
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	458 /* table of first PRIME_SIZE primes */
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	459 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	460
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	461 /* 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	462 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	463
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	464 /* 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	465 * 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	466 */
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_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	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 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	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_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	473
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	474 /* 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	475 * 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	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_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	478
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	479 /* 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	480 * 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	481 * 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	482 * 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	483 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	484 * 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	485 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	486 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	487
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	488 /* 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	489 * of Miller-Rabin.
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 * 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	492 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	493 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	494
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	495 /* 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	496 * 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	497 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	498 * 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	499 * 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	500 * 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	501 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	502 * 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	503 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	504 #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	505
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	506 /* 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	507 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	508 * Flags are as follows:
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	509 *
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	510 * 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	511 * 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	512 * 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	513 *
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	514 * 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	515 * 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	516 * 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	517 *
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 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	520
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	521 /* ---> radix conversion <--- */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	522 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	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_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	525 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	526 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	527 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	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_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	530 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	531 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	532 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	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_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	535 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	536 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	537 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	538
1436 60fc6476e044 Update to libtommath v1.0 Matt Johnston <matt@ucc.asn.au> parents: 389 diff changeset	539 #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	540 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	541 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	542 #endif
284 eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	543
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	544 #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	545 #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	546 #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	547 #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	548 #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	549 #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	550
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	551 #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	552 #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	553 #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	554 #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	555
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	556 #ifdef __cplusplus
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	557 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	558 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	559
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	560 #endif
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583) Matt Johnston <matt@ucc.asn.au> parents: diff changeset	561
389 5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e) Matt Johnston <matt@ucc.asn.au> parents: 284 diff changeset	562
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e) Matt Johnston <matt@ucc.asn.au> parents: 284 diff changeset	563 /* $Source: /cvs/libtom/libtommath/tommath.h,v $ */
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e) Matt Johnston <matt@ucc.asn.au> parents: 284 diff changeset	564 /* $Revision: 1.8 $ */
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e) Matt Johnston <matt@ucc.asn.au> parents: 284 diff changeset	565 /* $Date: 2006/03/31 14:18:44 $ */

Mercurial > dropbear

annotate libtommath/tommath.h @ 1464:ad637c9e0f6f