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marsgod |
#ifndef MIRACL_H
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#define MIRACL_H
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/*
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* main MIRACL header - miracl.h.
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*
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* Copyright (c) 1988-2001 Shamus Software Ltd.
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*/
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#include "mirdef.h"
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#ifdef __ia64__
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#if MIRACL==64
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#define MR_ITANIUM
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#include <ia64intrin.h>
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#endif
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#endif
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#ifdef MR_FP
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#include <math.h>
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#endif
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#ifndef MR_NO_FILE_IO
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#include <stdio.h>
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#endif
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/* error returns */
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#define MR_ERR_BASE_TOO_BIG 1
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#define MR_ERR_DIV_BY_ZERO 2
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#define MR_ERR_OVERFLOW 3
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#define MR_ERR_NEG_RESULT 4
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#define MR_ERR_BAD_FORMAT 5
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#define MR_ERR_BAD_BASE 6
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#define MR_ERR_BAD_PARAMETERS 7
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#define MR_ERR_OUT_OF_MEMORY 8
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#define MR_ERR_NEG_ROOT 9
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#define MR_ERR_NEG_POWER 10
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#define MR_ERR_BAD_ROOT 11
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#define MR_ERR_INT_OP 12
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#define MR_ERR_FLASH_OVERFLOW 13
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#define MR_ERR_TOO_BIG 14
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#define MR_ERR_NEG_LOG 15
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#define MR_ERR_DOUBLE_FAIL 16
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#define MR_ERR_IO_OVERFLOW 17
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#define MR_ERR_NO_MIRSYS 18
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#define MR_ERR_BAD_MODULUS 19
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#define MR_ERR_NO_MODULUS 20
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#define MR_ERR_EXP_TOO_BIG 21
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#define MR_ERR_NOT_SUPPORTED 22
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#define MR_ERR_NOT_DOUBLE_LEN 23
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#define MR_ERR_NOT_IRREDUC 24
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#define MR_ERR_NO_ROUNDING 25
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/* some useful definitions */
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#define forever for(;;)
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#ifndef TRUE
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#define TRUE 1
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#endif
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#ifndef FALSE
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#define FALSE 0
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#endif
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#define OFF 0
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#define ON 1
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#define PLUS 1
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#define MINUS (-1)
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#define MR_MAXDEPTH 24
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/* max routine stack depth */
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/* big and flash variables consist of an encoded length, *
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* and an array of mr_smalls containing the digits */
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typedef int BOOL;
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#define MR_BYTE unsigned char
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#ifdef MR_BITSINCHAR
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#if MR_BITSINCHAR == 8
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#define MR_TOBYTE(x) ((MR_BYTE)(x))
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#else
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#define MR_TOBYTE(x) ((MR_BYTE)((x)&0xFF))
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#endif
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#else
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#define MR_TOBYTE(x) ((MR_BYTE)(x))
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#endif
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#ifdef MR_FP
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typedef mr_utype mr_small;
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#ifdef mr_dltype
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typedef mr_dltype mr_large;
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#endif
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#define MR_DIV(a,b) (modf((a)/(b),&dres),dres)
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#ifdef MR_FP_ROUNDING
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/* slightly dicey - the optimizer might remove the MAGIC ! */
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#define MR_LROUND(a) ( ( (a) + MR_MAGIC ) - MR_MAGIC )
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#else
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#define MR_LROUND(a) (modfl((a),&ldres),ldres)
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#endif
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#define MR_REMAIN(a,b) ((a)-(b)*MR_DIV((a),(b)))
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#else
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typedef unsigned mr_utype mr_small;
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#ifdef mr_dltype
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typedef unsigned mr_dltype mr_large;
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#endif
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#define MR_DIV(a,b) ((a)/(b))
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#define MR_REMAIN(a,b) ((a)%(b))
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#define MR_LROUND(a) ((a))
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#endif
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struct bigtype
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{
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mr_unsign32 len;
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mr_small *w;
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};
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typedef struct bigtype *big;
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typedef big zzn;
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/* Macro to create big x on the stack - x_t and x_g must be distinct variables
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By convention use like this. See brute.c and identity.c for examples
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BIG(x,x_t,x_g,10)
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BIG(y,y_t,y_g,10)
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*/
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#define BIG(x,xt,xg,s) mr_small xg[s]; struct bigtype xt={s,xg}; big x=&xt;
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typedef big flash;
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#define MR_MSBIT ((mr_unsign32)1<<31)
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#define MR_OBITS (MR_MSBIT-1)
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#if MIRACL >= MR_IBITS
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#define MR_TOOBIG (1<<(MR_IBITS-2))
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#else
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#define MR_TOOBIG (1<<(MIRACL-1))
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#endif
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#ifdef MR_FLASH
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#define MR_EBITS (8*sizeof(double) - MR_FLASH)
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/* no of Bits per double exponent */
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#define MR_BTS 16
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#define MR_MSK 0xFFFF
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#endif
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#define MR_HASH_BYTES 20
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/* Marsaglia & Zaman Random number generator */
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/* constants alternatives */
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#define NK 37 /* 21 */
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#define NJ 24 /* 6 */
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#define NV 14 /* 8 */
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#ifdef MR_LITTLE_ENDIAN
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#define MR_TOP(x) (*(((mr_small *)&(x))+1))
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#define MR_BOT(x) (*(((mr_small *)&(x))))
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#endif
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#ifdef MR_BIG_ENDIAN
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#define MR_TOP(x) (*(((mr_small *)&(x))))
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#define MR_BOT(x) (*(((mr_small *)&(x))+1))
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#endif
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/* chinese remainder theorem structures */
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typedef struct {
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big *C;
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big *V;
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big *M;
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int NP;
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} big_chinese;
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typedef struct {
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mr_utype *C;
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mr_utype *V;
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mr_utype *M;
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int NP;
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} small_chinese;
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/* Cryptographically strong pseudo-random number generator */
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typedef struct {
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mr_unsign32 ira[NK]; /* random number... */
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int rndptr; /* ...array & pointer */
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mr_unsign32 borrow;
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int pool_ptr;
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char pool[MR_HASH_BYTES]; /* random pool */
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} csprng;
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/* secure hash Algorithm structure */
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typedef struct {
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mr_unsign32 length[2];
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mr_unsign32 h[8];
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mr_unsign32 w[80];
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} sha256;
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typedef sha256 sha;
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#ifdef mr_unsign64
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typedef struct {
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mr_unsign64 length[2];
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mr_unsign64 h[8];
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mr_unsign64 w[80];
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} sha512;
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typedef sha512 sha384;
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#endif
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/* advanced encryption algorithm structure */
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#define MR_ECB 0
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#define MR_CBC 1
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#define MR_CFB1 2
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#define MR_CFB2 3
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#define MR_CFB4 5
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#define MR_PCFB1 10
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#define MR_PCFB2 11
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#define MR_PCFB4 13
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#define MR_OFB1 14
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#define MR_OFB2 15
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#define MR_OFB4 17
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#define MR_OFB8 21
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#define MR_OFB16 29
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typedef struct {
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int Nk,Nr;
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int mode;
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mr_unsign32 fkey[60];
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mr_unsign32 rkey[60];
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char f[16];
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} aes;
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/* Elliptic curve point status */
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#define MR_EPOINT_GENERAL 0
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#define MR_EPOINT_NORMALIZED 1
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#define MR_EPOINT_INFINITY 2
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#define MR_PROJECTIVE 0
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#define MR_AFFINE 1
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| 262 |
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/* Elliptic Curve epoint structure. Uses projective (X,Y,Z) co-ordinates */
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typedef struct {
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big X;
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big Y;
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big Z;
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int marker;
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} epoint;
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| 271 |
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/* Structure for Brickell method for finite *
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field exponentiation with precomputation */
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typedef struct {
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big *table;
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big n;
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int base;
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int store;
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} brick;
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/* Structure for Brickell method for elliptic *
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curve exponentiation with precomputation */
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typedef struct {
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epoint **table;
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big a,b,n;
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int base;
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int store;
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} ebrick;
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typedef struct {
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epoint **table;
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big a6,a2;
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int m,a,b,c;
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int base;
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int store;
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} ebrick2;
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| 299 |
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| 300 |
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/* main MIRACL instance structure */
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typedef struct {
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mr_small base; /* number base */
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mr_small apbase; /* apparent base */
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int pack; /* packing density */
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int lg2b; /* bits in base */
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mr_small base2; /* 2^mr_lg2b */
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BOOL (*user)(void); /* pointer to user supplied function */
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int nib; /* length of bigs */
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int depth; /* error tracing ..*/
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int trace[MR_MAXDEPTH]; /* .. mechanism */
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BOOL check; /* overflow check */
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BOOL fout; /* Output to file */
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BOOL fin; /* Input from file */
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BOOL active;
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| 318 |
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#ifndef MR_NO_FILE_IO
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| 320 |
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FILE *infile; /* Input file */
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FILE *otfile; /* Output file */
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| 322 |
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| 323 |
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#endif
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| 324 |
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| 325 |
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mr_unsign32 ira[NK]; /* random number... */
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int rndptr; /* ...array & pointer */
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mr_unsign32 borrow;
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| 328 |
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| 329 |
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/* Montgomery constants */
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| 330 |
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mr_small ndash;
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| 331 |
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big modulus;
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| 332 |
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BOOL ACTIVE;
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| 333 |
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BOOL MONTY;
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| 334 |
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/* Elliptic Curve details */
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| 335 |
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BOOL SS; /* True for Super-Singular */
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| 336 |
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big A,B,C;
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| 337 |
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int coord,Asize,Bsize;
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| 338 |
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| 339 |
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int M,AA,BB,CC; /* for GF(2^m) curves */
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| 340 |
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| 341 |
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int logN; /* constants for fast fourier fft multiplication */
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| 342 |
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int nprimes,degree;
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| 343 |
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mr_utype *prime,*cr;
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| 344 |
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mr_utype *inverse,**roots;
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| 345 |
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small_chinese chin;
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| 346 |
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mr_utype const1,const2,const3;
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| 347 |
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mr_small msw,lsw;
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| 348 |
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mr_utype **s1,**s2; /* pre-computed tables for polynomial reduction */
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| 349 |
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mr_utype **t; /* workspace */
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| 350 |
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mr_utype *wa;
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| 351 |
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mr_utype *wb;
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| 352 |
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mr_utype *wc;
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| 353 |
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BOOL same;
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| 354 |
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BOOL first_one;
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| 355 |
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BOOL debug;
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| 356 |
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| 357 |
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big w0; /* workspace bigs */
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| 358 |
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big w1,w2,w3,w4;
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| 359 |
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big w5,w6,w7;
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| 360 |
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big w8,w9,w10,w11;
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| 361 |
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big w12,w13,w14,w15;
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| 362 |
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big w16,w17,w18;
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| 363 |
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| 364 |
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/* User modifiables */
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| 365 |
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| 366 |
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char *IOBUFF; /* i/o buffer */
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| 367 |
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int IOBSIZ; /* size of i/o buffer */
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| 368 |
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BOOL ERCON; /* error control */
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| 369 |
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int ERNUM; /* last error code */
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| 370 |
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int NTRY; /* no. of tries for probablistic primality testing */
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| 371 |
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int IOBASE; /* base for input and output */
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| 372 |
|
|
BOOL EXACT; /* exact flag */
|
| 373 |
|
|
BOOL RPOINT; /* =ON for radix point, =OFF for fractions in output */
|
| 374 |
|
|
BOOL TRACER; /* turns trace tracker on/off */
|
| 375 |
|
|
int INPLEN; /* input length */
|
| 376 |
|
|
int *PRIMES; /* small primes array */
|
| 377 |
|
|
|
| 378 |
|
|
#ifdef MR_FLASH
|
| 379 |
|
|
int workprec;
|
| 380 |
|
|
int stprec; /* start precision */
|
| 381 |
|
|
|
| 382 |
|
|
int RS,RD;
|
| 383 |
|
|
double D;
|
| 384 |
|
|
|
| 385 |
|
|
double db,n,p;
|
| 386 |
|
|
int a,b,c,d,r,q,oldn,ndig;
|
| 387 |
|
|
mr_small u,v,ku,kv;
|
| 388 |
|
|
|
| 389 |
|
|
BOOL last,carryon;
|
| 390 |
|
|
flash pi;
|
| 391 |
|
|
|
| 392 |
|
|
|
| 393 |
|
|
#endif
|
| 394 |
|
|
|
| 395 |
|
|
#ifdef MR_KCM
|
| 396 |
|
|
big big_ndash;
|
| 397 |
|
|
big ws;
|
| 398 |
|
|
#endif
|
| 399 |
|
|
|
| 400 |
|
|
#ifdef MR_FP_ROUNDING
|
| 401 |
|
|
mr_large inverse_base;
|
| 402 |
|
|
#endif
|
| 403 |
|
|
int size;
|
| 404 |
|
|
char *workspace;
|
| 405 |
|
|
|
| 406 |
|
|
} miracl;
|
| 407 |
|
|
|
| 408 |
|
|
|
| 409 |
|
|
#ifndef MR_GENERIC_MT
|
| 410 |
|
|
|
| 411 |
|
|
#ifdef MR_WINDOWS_MT
|
| 412 |
|
|
#define MR_OS_THREADS
|
| 413 |
|
|
#endif
|
| 414 |
|
|
|
| 415 |
|
|
#ifdef MR_UNIX_MT
|
| 416 |
|
|
#define MR_OS_THREADS
|
| 417 |
|
|
#endif
|
| 418 |
|
|
|
| 419 |
|
|
#ifndef MR_OS_THREADS
|
| 420 |
|
|
|
| 421 |
|
|
extern miracl *mr_mip; /* pointer to MIRACL's only global variable */
|
| 422 |
|
|
|
| 423 |
|
|
#endif
|
| 424 |
|
|
|
| 425 |
|
|
#endif
|
| 426 |
|
|
|
| 427 |
|
|
|
| 428 |
|
|
#ifdef MR_GENERIC_MT
|
| 429 |
|
|
|
| 430 |
|
|
#define _MIPT_ miracl *,
|
| 431 |
|
|
#define _MIPTO_ miracl *
|
| 432 |
|
|
#define _MIPD_ miracl *mr_mip,
|
| 433 |
|
|
#define _MIPDO_ miracl *mr_mip
|
| 434 |
|
|
#define _MIPP_ mr_mip,
|
| 435 |
|
|
#define _MIPPO_ mr_mip
|
| 436 |
|
|
|
| 437 |
|
|
#else
|
| 438 |
|
|
|
| 439 |
|
|
#define _MIPT_
|
| 440 |
|
|
#define _MIPTO_ void
|
| 441 |
|
|
#define _MIPD_
|
| 442 |
|
|
#define _MIPDO_ void
|
| 443 |
|
|
#define _MIPP_
|
| 444 |
|
|
#define _MIPPO_
|
| 445 |
|
|
|
| 446 |
|
|
#endif
|
| 447 |
|
|
|
| 448 |
|
|
/* Preamble and exit code for MIRACL routines. *
|
| 449 |
|
|
* Not used if MR_STRIPPED_DOWN is defined */
|
| 450 |
|
|
|
| 451 |
|
|
#ifdef MR_STRIPPED_DOWN
|
| 452 |
|
|
#define MR_OUT
|
| 453 |
|
|
#define MR_IN(N)
|
| 454 |
|
|
#else
|
| 455 |
|
|
#define MR_OUT mr_mip->depth--;
|
| 456 |
|
|
#define MR_IN(N) mr_mip->depth++; if (mr_mip->depth<MR_MAXDEPTH) {mr_mip->trace[mr_mip->depth]=(N); if (mr_mip->TRACER) mr_track(_MIPPO_); }
|
| 457 |
|
|
#endif
|
| 458 |
|
|
|
| 459 |
|
|
/* Function definitions */
|
| 460 |
|
|
|
| 461 |
|
|
/* Group 0 - Internal routines */
|
| 462 |
|
|
|
| 463 |
|
|
extern void mr_berror(_MIPT_ int);
|
| 464 |
|
|
extern mr_small mr_shiftbits(mr_small,int);
|
| 465 |
|
|
extern mr_small mr_setbase(_MIPT_ mr_small);
|
| 466 |
|
|
extern void mr_track(_MIPTO_ );
|
| 467 |
|
|
extern void mr_lzero(big);
|
| 468 |
|
|
extern BOOL mr_notint(flash);
|
| 469 |
|
|
extern int mr_lent(flash);
|
| 470 |
|
|
extern void mr_padd(_MIPT_ big,big,big);
|
| 471 |
|
|
extern void mr_psub(_MIPT_ big,big,big);
|
| 472 |
|
|
extern void mr_pmul(_MIPT_ big,mr_small,big);
|
| 473 |
|
|
#ifdef MR_FP_ROUNDING
|
| 474 |
|
|
extern mr_large mr_invert(mr_small);
|
| 475 |
|
|
extern mr_small imuldiv(mr_small,mr_small,mr_small,mr_small,mr_large,mr_small *);
|
| 476 |
|
|
extern mr_small mr_sdiv(_MIPT_ big,mr_small,mr_large,big);
|
| 477 |
|
|
#else
|
| 478 |
|
|
extern mr_small mr_sdiv(_MIPT_ big,mr_small,big);
|
| 479 |
|
|
#endif
|
| 480 |
|
|
extern void mr_shift(_MIPT_ big,int,big);
|
| 481 |
|
|
extern miracl *mr_first_alloc(void);
|
| 482 |
|
|
extern void *mr_alloc(_MIPT_ int,int);
|
| 483 |
|
|
extern void mr_free(void *);
|
| 484 |
|
|
extern void set_user_function(_MIPT_ BOOL (*)(void));
|
| 485 |
|
|
extern void set_io_buffer_size(_MIPT_ int);
|
| 486 |
|
|
extern int mr_testbit(_MIPT_ big,int);
|
| 487 |
|
|
extern int mr_window(_MIPT_ big,int,int *,int *);
|
| 488 |
|
|
extern int mr_window2(_MIPT_ big,big,int,int *,int *);
|
| 489 |
|
|
extern int mr_naf_window(_MIPT_ big,big,int,int *,int *);
|
| 490 |
|
|
|
| 491 |
|
|
extern int mr_fft_init(_MIPT_ int,big,big,BOOL);
|
| 492 |
|
|
extern void mr_dif_fft(_MIPT_ int,int,mr_utype *);
|
| 493 |
|
|
extern void mr_dit_fft(_MIPT_ int,int,mr_utype *);
|
| 494 |
|
|
extern void fft_reset(_MIPTO_);
|
| 495 |
|
|
|
| 496 |
|
|
extern int mr_poly_mul(_MIPT_ int,big*,int,big*,big*);
|
| 497 |
|
|
extern int mr_poly_sqr(_MIPT_ int,big*,big*);
|
| 498 |
|
|
extern void mr_polymod_set(_MIPT_ int,big*,big*);
|
| 499 |
|
|
extern int mr_poly_rem(_MIPT_ int,big *,big *);
|
| 500 |
|
|
|
| 501 |
|
|
extern int mr_ps_big_mul(_MIPT_ int,big *,big *,big *);
|
| 502 |
|
|
extern int mr_ps_zzn_mul(_MIPT_ int,big *,big *,big *);
|
| 503 |
|
|
|
| 504 |
|
|
extern mr_small muldiv(mr_small,mr_small,mr_small,mr_small,mr_small *);
|
| 505 |
|
|
extern mr_small muldvm(mr_small,mr_small,mr_small,mr_small *);
|
| 506 |
|
|
extern mr_small muldvd(mr_small,mr_small,mr_small,mr_small *);
|
| 507 |
|
|
extern void muldvd2(mr_small,mr_small,mr_small *,mr_small *);
|
| 508 |
|
|
|
| 509 |
|
|
/* Group 1 - General purpose, I/O and basic arithmetic routines */
|
| 510 |
|
|
|
| 511 |
|
|
extern int igcd(int,int);
|
| 512 |
|
|
extern mr_small sgcd(mr_small,mr_small);
|
| 513 |
|
|
extern int isqrt(int,int);
|
| 514 |
|
|
extern void irand(_MIPT_ mr_unsign32);
|
| 515 |
|
|
extern mr_small brand(_MIPTO_ );
|
| 516 |
|
|
extern void zero(flash);
|
| 517 |
|
|
extern void convert(_MIPT_ int,big);
|
| 518 |
|
|
extern void lgconv(_MIPT_ long,big);
|
| 519 |
|
|
extern flash mirvar(_MIPT_ int);
|
| 520 |
|
|
extern flash mirvar_mem(_MIPT_ char *,int);
|
| 521 |
|
|
extern void mirkill(big);
|
| 522 |
|
|
extern void *memalloc(_MIPT_ int);
|
| 523 |
|
|
extern void memkill(_MIPT_ char *,int);
|
| 524 |
|
|
extern void mr_init_threading(void);
|
| 525 |
|
|
extern void mr_end_threading(void);
|
| 526 |
|
|
extern miracl *get_mip(_MIPTO_ );
|
| 527 |
|
|
extern miracl *mirsys(int,mr_small);
|
| 528 |
|
|
extern void mirexit(_MIPTO_ );
|
| 529 |
|
|
extern int exsign(flash);
|
| 530 |
|
|
extern void insign(int,flash);
|
| 531 |
|
|
extern int getdig(_MIPT_ big,int);
|
| 532 |
|
|
extern int numdig(_MIPT_ big);
|
| 533 |
|
|
extern void putdig(_MIPT_ int,big,int);
|
| 534 |
|
|
extern void copy(flash,flash);
|
| 535 |
|
|
extern void negify(flash,flash);
|
| 536 |
|
|
extern void absol(flash,flash);
|
| 537 |
|
|
extern int size(big);
|
| 538 |
|
|
extern int compare(big,big);
|
| 539 |
|
|
extern void add(_MIPT_ big,big,big);
|
| 540 |
|
|
extern void subtract(_MIPT_ big,big,big);
|
| 541 |
|
|
extern void incr(_MIPT_ big,int,big);
|
| 542 |
|
|
extern void decr(_MIPT_ big,int,big);
|
| 543 |
|
|
extern void premult(_MIPT_ big,int,big);
|
| 544 |
|
|
extern int subdiv(_MIPT_ big,int,big);
|
| 545 |
|
|
extern BOOL subdivisible(_MIPT_ big,int);
|
| 546 |
|
|
extern int remain(_MIPT_ big,int);
|
| 547 |
|
|
extern void bytes_to_big(_MIPT_ int,char *,big);
|
| 548 |
|
|
extern int big_to_bytes(_MIPT_ int,big,char *,BOOL);
|
| 549 |
|
|
extern mr_small normalise(_MIPT_ big,big);
|
| 550 |
|
|
extern void multiply(_MIPT_ big,big,big);
|
| 551 |
|
|
extern void fft_mult(_MIPT_ big,big,big);
|
| 552 |
|
|
extern BOOL fastmultop(_MIPT_ int,big,big,big);
|
| 553 |
|
|
extern void divide(_MIPT_ big,big,big);
|
| 554 |
|
|
extern BOOL divisible(_MIPT_ big,big);
|
| 555 |
|
|
extern void mad(_MIPT_ big,big,big,big,big,big);
|
| 556 |
|
|
extern int instr(_MIPT_ flash,char *);
|
| 557 |
|
|
extern int otstr(_MIPT_ flash,char *);
|
| 558 |
|
|
extern int cinstr(_MIPT_ flash,char *);
|
| 559 |
|
|
extern int cotstr(_MIPT_ flash,char *);
|
| 560 |
|
|
|
| 561 |
|
|
#ifndef MR_NO_FILE_IO
|
| 562 |
|
|
|
| 563 |
|
|
extern int innum(_MIPT_ flash,FILE *);
|
| 564 |
|
|
extern int otnum(_MIPT_ flash,FILE *);
|
| 565 |
|
|
extern int cinnum(_MIPT_ flash,FILE *);
|
| 566 |
|
|
extern int cotnum(_MIPT_ flash,FILE *);
|
| 567 |
|
|
|
| 568 |
|
|
#endif
|
| 569 |
|
|
|
| 570 |
|
|
/* Group 2 - Advanced arithmetic routines */
|
| 571 |
|
|
|
| 572 |
|
|
extern mr_small smul(mr_small,mr_small,mr_small);
|
| 573 |
|
|
extern mr_small spmd(mr_small,mr_small,mr_small);
|
| 574 |
|
|
extern mr_small invers(mr_small,mr_small);
|
| 575 |
|
|
extern mr_small sqrmp(mr_small,mr_small);
|
| 576 |
|
|
extern int jac(mr_small,mr_small);
|
| 577 |
|
|
|
| 578 |
|
|
extern void gprime(_MIPT_ int);
|
| 579 |
|
|
extern int jack(_MIPT_ big,big);
|
| 580 |
|
|
extern int egcd(_MIPT_ big,big,big);
|
| 581 |
|
|
extern int xgcd(_MIPT_ big,big,big,big,big);
|
| 582 |
|
|
extern int logb2(_MIPT_ big);
|
| 583 |
|
|
extern void expint(_MIPT_ int,int,big);
|
| 584 |
|
|
extern void sftbit(_MIPT_ big,int,big);
|
| 585 |
|
|
extern void power(_MIPT_ big,long,big,big);
|
| 586 |
|
|
extern void powmod(_MIPT_ big,big,big,big);
|
| 587 |
|
|
extern void powmod2(_MIPT_ big,big,big,big,big,big);
|
| 588 |
|
|
extern void powmodn(_MIPT_ int,big *,big *,big,big);
|
| 589 |
|
|
extern int powltr(_MIPT_ int,big,big,big);
|
| 590 |
|
|
extern BOOL double_inverse(_MIPT_ big,big,big,big,big);
|
| 591 |
|
|
extern BOOL multi_inverse(_MIPT_ int,big*,big,big*);
|
| 592 |
|
|
extern void lucas(_MIPT_ big,big,big,big,big);
|
| 593 |
|
|
extern BOOL nroot(_MIPT_ big,int,big);
|
| 594 |
|
|
extern BOOL sqroot(_MIPT_ big,big,big);
|
| 595 |
|
|
extern void bigrand(_MIPT_ big,big);
|
| 596 |
|
|
extern void bigdig(_MIPT_ int,int,big);
|
| 597 |
|
|
extern int trial_division(_MIPT_ big,big);
|
| 598 |
|
|
extern BOOL isprime(_MIPT_ big);
|
| 599 |
|
|
extern BOOL nxprime(_MIPT_ big,big);
|
| 600 |
|
|
extern BOOL nxsafeprime(_MIPT_ int,int,big,big);
|
| 601 |
|
|
extern BOOL crt_init(_MIPT_ big_chinese *,int,big *);
|
| 602 |
|
|
extern void crt(_MIPT_ big_chinese *,big *,big);
|
| 603 |
|
|
extern void crt_end(big_chinese *);
|
| 604 |
|
|
extern BOOL scrt_init(_MIPT_ small_chinese *,int,mr_utype *);
|
| 605 |
|
|
extern void scrt(_MIPT_ small_chinese*,mr_utype *,big);
|
| 606 |
|
|
extern void scrt_end(small_chinese *);
|
| 607 |
|
|
extern BOOL brick_init(_MIPT_ brick *,big,big,int);
|
| 608 |
|
|
extern void pow_brick(_MIPT_ brick *,big,big);
|
| 609 |
|
|
extern void brick_end(brick *);
|
| 610 |
|
|
extern BOOL ebrick_init(_MIPT_ ebrick *,big,big,big,big,big,int);
|
| 611 |
|
|
extern void ebrick_end(ebrick *);
|
| 612 |
|
|
extern int mul_brick(_MIPT_ ebrick*,big,big,big);
|
| 613 |
|
|
extern BOOL ebrick2_init(_MIPT_ ebrick2 *,big,big,big,big,int,int,int,int,int);
|
| 614 |
|
|
extern void ebrick2_end(ebrick2 *);
|
| 615 |
|
|
extern int mul2_brick(_MIPT_ ebrick2*,big,big,big);
|
| 616 |
|
|
|
| 617 |
|
|
/* Montgomery stuff */
|
| 618 |
|
|
|
| 619 |
|
|
extern mr_small prepare_monty(_MIPT_ big);
|
| 620 |
|
|
extern void kill_monty(_MIPTO_ );
|
| 621 |
|
|
extern void nres(_MIPT_ big,big);
|
| 622 |
|
|
extern void redc(_MIPT_ big,big);
|
| 623 |
|
|
|
| 624 |
|
|
extern void nres_negate(_MIPT_ big,big);
|
| 625 |
|
|
extern void nres_modadd(_MIPT_ big,big,big);
|
| 626 |
|
|
extern void nres_modsub(_MIPT_ big,big,big);
|
| 627 |
|
|
extern void nres_premult(_MIPT_ big,int,big);
|
| 628 |
|
|
extern void nres_modmult(_MIPT_ big,big,big);
|
| 629 |
|
|
extern int nres_moddiv(_MIPT_ big,big,big);
|
| 630 |
|
|
extern void nres_dotprod(_MIPT_ int,big *,big *,big);
|
| 631 |
|
|
extern void nres_powmod(_MIPT_ big,big,big);
|
| 632 |
|
|
extern void nres_powltr(_MIPT_ int,big,big);
|
| 633 |
|
|
extern void nres_powmod2(_MIPT_ big,big,big,big,big);
|
| 634 |
|
|
extern void nres_powmodn(_MIPT_ int,big *,big *,big);
|
| 635 |
|
|
extern BOOL nres_sqroot(_MIPT_ big,big);
|
| 636 |
|
|
extern void nres_lucas(_MIPT_ big,big,big,big);
|
| 637 |
|
|
extern BOOL nres_double_inverse(_MIPT_ big,big,big,big);
|
| 638 |
|
|
extern BOOL nres_multi_inverse(_MIPT_ int,big *,big *);
|
| 639 |
|
|
|
| 640 |
|
|
extern void shs_init(sha *);
|
| 641 |
|
|
extern void shs_process(sha *,int);
|
| 642 |
|
|
extern void shs_hash(sha *,char *);
|
| 643 |
|
|
|
| 644 |
|
|
extern void shs256_init(sha256 *);
|
| 645 |
|
|
extern void shs256_process(sha256 *,int);
|
| 646 |
|
|
extern void shs256_hash(sha256 *,char *);
|
| 647 |
|
|
|
| 648 |
|
|
#ifdef mr_unsign64
|
| 649 |
|
|
|
| 650 |
|
|
extern void shs512_init(sha512 *);
|
| 651 |
|
|
extern void shs512_process(sha512 *,int);
|
| 652 |
|
|
extern void shs512_hash(sha512 *,char *);
|
| 653 |
|
|
|
| 654 |
|
|
extern void shs384_init(sha384 *);
|
| 655 |
|
|
extern void shs384_process(sha384 *,int);
|
| 656 |
|
|
extern void shs384_hash(sha384 *,char *);
|
| 657 |
|
|
|
| 658 |
|
|
#endif
|
| 659 |
|
|
|
| 660 |
|
|
extern BOOL aes_init(aes *,int,int,char *,char *);
|
| 661 |
|
|
extern void aes_getreg(aes *,char *);
|
| 662 |
|
|
extern mr_unsign32 aes_encrypt(aes *,char *);
|
| 663 |
|
|
extern mr_unsign32 aes_decrypt(aes *,char *);
|
| 664 |
|
|
extern void aes_reset(aes *,int,char *);
|
| 665 |
|
|
extern void aes_end(aes *);
|
| 666 |
|
|
|
| 667 |
|
|
extern void strong_init(csprng *,int,char *,mr_unsign32);
|
| 668 |
|
|
extern int strong_rng(csprng *);
|
| 669 |
|
|
extern void strong_bigrand(_MIPT_ csprng *,big,big);
|
| 670 |
|
|
extern void strong_bigdig(_MIPT_ csprng *,int,int,big);
|
| 671 |
|
|
extern void strong_kill(csprng *);
|
| 672 |
|
|
|
| 673 |
|
|
/* special modular multipliers */
|
| 674 |
|
|
|
| 675 |
|
|
extern void comba_mult(_MIPT_ big,big,big);
|
| 676 |
|
|
extern void comba_square(_MIPT_ big,big);
|
| 677 |
|
|
extern void comba_redc(_MIPT_ big,big);
|
| 678 |
|
|
extern void comba_add(_MIPT_ big,big,big);
|
| 679 |
|
|
extern void comba_sub(_MIPT_ big,big,big);
|
| 680 |
|
|
|
| 681 |
|
|
extern void fastmodmult(_MIPT_ big,big,big);
|
| 682 |
|
|
extern void fastmodsquare(_MIPT_ big,big);
|
| 683 |
|
|
|
| 684 |
|
|
extern void kcm_mul(_MIPT_ big,big,big);
|
| 685 |
|
|
extern void kcm_sqr(_MIPT_ big,big);
|
| 686 |
|
|
extern void kcm_redc(_MIPT_ big,big);
|
| 687 |
|
|
|
| 688 |
|
|
extern void kcm_multiply(_MIPT_ int,big,big,big);
|
| 689 |
|
|
extern void kcm_square(_MIPT_ int,big,big);
|
| 690 |
|
|
extern BOOL kcm_top(_MIPT_ int,big,big,big);
|
| 691 |
|
|
|
| 692 |
|
|
/* elliptic curve stuff */
|
| 693 |
|
|
|
| 694 |
|
|
extern BOOL point_at_infinity(epoint *);
|
| 695 |
|
|
|
| 696 |
|
|
extern void ecurve_init(_MIPT_ big,big,big,int);
|
| 697 |
|
|
extern big ecurve_add(_MIPT_ epoint *,epoint *);
|
| 698 |
|
|
extern big ecurve_sub(_MIPT_ epoint *,epoint *);
|
| 699 |
|
|
extern void ecurve_double_add(_MIPT_ epoint *,epoint *,epoint *,epoint *,big *,big *);
|
| 700 |
|
|
extern void ecurve_multi_add(_MIPT_ int,epoint **,epoint **);
|
| 701 |
|
|
extern void ecurve_mult(_MIPT_ big,epoint *,epoint *);
|
| 702 |
|
|
extern void ecurve_mult2(_MIPT_ big,epoint *,big,epoint *,epoint *);
|
| 703 |
|
|
extern void ecurve_multn(_MIPT_ int,big *,epoint**,epoint *);
|
| 704 |
|
|
|
| 705 |
|
|
extern epoint* epoint_init(_MIPTO_ );
|
| 706 |
|
|
extern BOOL epoint_set(_MIPT_ big,big,int,epoint*);
|
| 707 |
|
|
extern int epoint_get(_MIPT_ epoint*,big,big);
|
| 708 |
|
|
extern void epoint_getxyz(_MIPT_ epoint *,big,big,big);
|
| 709 |
|
|
extern int epoint_norm(_MIPT_ epoint *);
|
| 710 |
|
|
extern void epoint_free(epoint *);
|
| 711 |
|
|
extern void epoint_copy(epoint *,epoint *);
|
| 712 |
|
|
extern BOOL epoint_comp(_MIPT_ epoint *,epoint *);
|
| 713 |
|
|
extern void epoint_negate(_MIPT_ epoint *);
|
| 714 |
|
|
|
| 715 |
|
|
extern BOOL ecurve2_init(_MIPT_ int,int,int,int,big,big,BOOL,int);
|
| 716 |
|
|
extern big ecurve2_add(_MIPT_ epoint *,epoint *);
|
| 717 |
|
|
extern big ecurve2_sub(_MIPT_ epoint *,epoint *);
|
| 718 |
|
|
extern void ecurve2_multi_add(_MIPT_ int,epoint **,epoint **);
|
| 719 |
|
|
extern void ecurve2_mult(_MIPT_ big,epoint *,epoint *);
|
| 720 |
|
|
extern void ecurve2_mult2(_MIPT_ big,epoint *,big,epoint *,epoint *);
|
| 721 |
|
|
extern void ecurve2_multn(_MIPT_ int,big *,epoint**,epoint *);
|
| 722 |
|
|
|
| 723 |
|
|
extern epoint* epoint2_init(_MIPTO_ );
|
| 724 |
|
|
extern BOOL epoint2_set(_MIPT_ big,big,int,epoint*);
|
| 725 |
|
|
extern int epoint2_get(_MIPT_ epoint*,big,big);
|
| 726 |
|
|
extern void epoint2_getxyz(_MIPT_ epoint *,big,big,big);
|
| 727 |
|
|
extern int epoint2_norm(_MIPT_ epoint *);
|
| 728 |
|
|
extern void epoint2_free(epoint *);
|
| 729 |
|
|
extern void epoint2_copy(epoint *,epoint *);
|
| 730 |
|
|
extern BOOL epoint2_comp(_MIPT_ epoint *,epoint *);
|
| 731 |
|
|
extern void epoint2_negate(_MIPT_ epoint *);
|
| 732 |
|
|
|
| 733 |
|
|
/* GF(2) stuff */
|
| 734 |
|
|
|
| 735 |
|
|
extern BOOL prepare_basis(_MIPT_ int,int,int,int,BOOL);
|
| 736 |
|
|
extern void add2(big,big,big);
|
| 737 |
|
|
extern void incr2(big,int,big);
|
| 738 |
|
|
extern void reduce2(_MIPT_ big,big);
|
| 739 |
|
|
extern void modmult2(_MIPT_ big,big,big);
|
| 740 |
|
|
extern void power2(_MIPT_ big,int,big);
|
| 741 |
|
|
extern void sqroot2(_MIPT_ big,big);
|
| 742 |
|
|
extern BOOL inverse2(_MIPT_ big,big);
|
| 743 |
|
|
extern void karmul2(int,mr_small *,mr_small *,mr_small *,mr_small *);
|
| 744 |
|
|
extern void karmul2_poly(_MIPT_ int,big *,big *,big *,big *);
|
| 745 |
|
|
extern void karmul2_poly_upper(_MIPT_ int,big *,big *,big *,big *);
|
| 746 |
|
|
extern void gf2m_dotprod(_MIPT_ int,big *,big *,big);
|
| 747 |
|
|
extern int trace2(_MIPT_ big);
|
| 748 |
|
|
|
| 749 |
|
|
/* Group 3 - Floating-slash routines */
|
| 750 |
|
|
|
| 751 |
|
|
#ifdef MR_FLASH
|
| 752 |
|
|
extern void fpack(_MIPT_ big,big,flash);
|
| 753 |
|
|
extern void numer(_MIPT_ flash,big);
|
| 754 |
|
|
extern void denom(_MIPT_ flash,big);
|
| 755 |
|
|
extern BOOL fit(big,big,int);
|
| 756 |
|
|
extern void build(_MIPT_ flash,int (*)(_MIPT_ big,int));
|
| 757 |
|
|
extern void mround(_MIPT_ big,big,flash);
|
| 758 |
|
|
extern void flop(_MIPT_ flash,flash,int *,flash);
|
| 759 |
|
|
extern void fmul(_MIPT_ flash,flash,flash);
|
| 760 |
|
|
extern void fdiv(_MIPT_ flash,flash,flash);
|
| 761 |
|
|
extern void fadd(_MIPT_ flash,flash,flash);
|
| 762 |
|
|
extern void fsub(_MIPT_ flash,flash,flash);
|
| 763 |
|
|
extern int fcomp(_MIPT_ flash,flash);
|
| 764 |
|
|
extern void fconv(_MIPT_ int,int,flash);
|
| 765 |
|
|
extern void frecip(_MIPT_ flash,flash);
|
| 766 |
|
|
extern void ftrunc(_MIPT_ flash,big,flash);
|
| 767 |
|
|
extern void fmodulo(_MIPT_ flash,flash,flash);
|
| 768 |
|
|
extern void fpmul(_MIPT_ flash,int,int,flash);
|
| 769 |
|
|
extern void fincr(_MIPT_ flash,int,int,flash);
|
| 770 |
|
|
extern void dconv(_MIPT_ double,flash);
|
| 771 |
|
|
extern double fdsize(_MIPT_ flash);
|
| 772 |
|
|
extern void frand(_MIPT_ flash);
|
| 773 |
|
|
|
| 774 |
|
|
/* Group 4 - Advanced Flash routines */
|
| 775 |
|
|
|
| 776 |
|
|
extern void fpower(_MIPT_ flash,int,flash);
|
| 777 |
|
|
extern BOOL froot(_MIPT_ flash,int,flash);
|
| 778 |
|
|
extern void fpi(_MIPT_ flash);
|
| 779 |
|
|
extern void fexp(_MIPT_ flash,flash);
|
| 780 |
|
|
extern void flog(_MIPT_ flash,flash);
|
| 781 |
|
|
extern void fpowf(_MIPT_ flash,flash,flash);
|
| 782 |
|
|
extern void ftan(_MIPT_ flash,flash);
|
| 783 |
|
|
extern void fatan(_MIPT_ flash,flash);
|
| 784 |
|
|
extern void fsin(_MIPT_ flash,flash);
|
| 785 |
|
|
extern void fasin(_MIPT_ flash,flash);
|
| 786 |
|
|
extern void fcos(_MIPT_ flash,flash);
|
| 787 |
|
|
extern void facos(_MIPT_ flash,flash);
|
| 788 |
|
|
extern void ftanh(_MIPT_ flash,flash);
|
| 789 |
|
|
extern void fatanh(_MIPT_ flash,flash);
|
| 790 |
|
|
extern void fsinh(_MIPT_ flash,flash);
|
| 791 |
|
|
extern void fasinh(_MIPT_ flash,flash);
|
| 792 |
|
|
extern void fcosh(_MIPT_ flash,flash);
|
| 793 |
|
|
extern void facosh(_MIPT_ flash,flash);
|
| 794 |
|
|
#endif
|
| 795 |
|
|
|
| 796 |
|
|
|
| 797 |
|
|
/* Test predefined Macros to determine compiler type, and hopefully
|
| 798 |
|
|
selectively use fast in-line assembler (or other compiler specific
|
| 799 |
|
|
optimisations. Note I am unsure of Microsoft version numbers. So I
|
| 800 |
|
|
suspect are Microsoft.
|
| 801 |
|
|
|
| 802 |
|
|
Note: It seems to be impossible to get the 16-bit Microsoft compiler
|
| 803 |
|
|
to allow inline 32-bit op-codes. So I suspect that INLINE_ASM == 2 will
|
| 804 |
|
|
never work with it. Pity.
|
| 805 |
|
|
|
| 806 |
|
|
#define INLINE_ASM 1 -> generates 8086 inline assembly
|
| 807 |
|
|
#define INLINE_ASM 2 -> generates mixed 8086 & 80386 inline assembly,
|
| 808 |
|
|
so you can get some benefit while running in a
|
| 809 |
|
|
16-bit environment on 32-bit hardware (DOS, Windows
|
| 810 |
|
|
3.1...)
|
| 811 |
|
|
#define INLINE_ASM 3 -> generate true 80386 inline assembly - (Using DOS
|
| 812 |
|
|
extender, Windows '95/Windows NT)
|
| 813 |
|
|
Actually optimised for Pentium
|
| 814 |
|
|
|
| 815 |
|
|
#define INLINE_ASM 4 -> 80386 code in the GNU style (for (DJGPP)
|
| 816 |
|
|
|
| 817 |
|
|
Small, medium, compact and large memory models are supported for the
|
| 818 |
|
|
first two of the above.
|
| 819 |
|
|
|
| 820 |
|
|
*/
|
| 821 |
|
|
|
| 822 |
|
|
#ifndef MR_NOASM
|
| 823 |
|
|
|
| 824 |
|
|
/* Itanium - inline the time-critical functions */
|
| 825 |
|
|
|
| 826 |
|
|
#ifdef MR_ITANIUM
|
| 827 |
|
|
#define muldvd(a,b,c,rp) (tm=_m64_xmahu((a),(b),(c)),*(rp)=_m64_xmalu((a),(b),(c)),tm)
|
| 828 |
|
|
#define muldvd2(a,b,c,rp) (tm=_m64_xmalu((a),(b),(*(c))),*(c)=_m64_xmahu((a),(b),(*(c))),tm+=*(rp),*(c)+=(tm<*(rp)),*(rp)=tm)
|
| 829 |
|
|
#endif
|
| 830 |
|
|
|
| 831 |
|
|
|
| 832 |
|
|
/* Borland C/Turbo C */
|
| 833 |
|
|
|
| 834 |
|
|
#ifdef __TURBOC__
|
| 835 |
|
|
#ifndef __HUGE__
|
| 836 |
|
|
#define ASM asm
|
| 837 |
|
|
#if defined(__COMPACT__) || defined(__LARGE__)
|
| 838 |
|
|
#define MR_LMM
|
| 839 |
|
|
#endif
|
| 840 |
|
|
|
| 841 |
|
|
#if MIRACL==16
|
| 842 |
|
|
#define INLINE_ASM 1
|
| 843 |
|
|
#endif
|
| 844 |
|
|
|
| 845 |
|
|
#if __TURBOC__>=0x410
|
| 846 |
|
|
#if MIRACL==32
|
| 847 |
|
|
#if defined(__SMALL__) || defined(__MEDIUM__) || defined(__LARGE__) || defined(__COMPACT__)
|
| 848 |
|
|
#define INLINE_ASM 2
|
| 849 |
|
|
#else
|
| 850 |
|
|
#define INLINE_ASM 3
|
| 851 |
|
|
#endif
|
| 852 |
|
|
#endif
|
| 853 |
|
|
#endif
|
| 854 |
|
|
#endif
|
| 855 |
|
|
#endif
|
| 856 |
|
|
|
| 857 |
|
|
/* Microsoft C */
|
| 858 |
|
|
|
| 859 |
|
|
#ifdef _MSC_VER
|
| 860 |
|
|
#ifndef M_I86HM
|
| 861 |
|
|
#define ASM _asm
|
| 862 |
|
|
#if defined(M_I86CM) || defined(M_I86LM)
|
| 863 |
|
|
#define MR_LMM
|
| 864 |
|
|
#endif
|
| 865 |
|
|
#if _MSC_VER>=600
|
| 866 |
|
|
#if MIRACL==16
|
| 867 |
|
|
#define INLINE_ASM 1
|
| 868 |
|
|
#endif
|
| 869 |
|
|
#endif
|
| 870 |
|
|
#if _MSC_VER>=1000
|
| 871 |
|
|
#if MIRACL==32
|
| 872 |
|
|
#define INLINE_ASM 3
|
| 873 |
|
|
#endif
|
| 874 |
|
|
#endif
|
| 875 |
|
|
#endif
|
| 876 |
|
|
#endif
|
| 877 |
|
|
|
| 878 |
|
|
/* DJGPP GNU C */
|
| 879 |
|
|
|
| 880 |
|
|
#ifdef __GNUC__
|
| 881 |
|
|
#ifdef i386
|
| 882 |
|
|
#define ASM __asm__ __volatile__
|
| 883 |
|
|
#if MIRACL==32
|
| 884 |
|
|
#define INLINE_ASM 4
|
| 885 |
|
|
#endif
|
| 886 |
|
|
#endif
|
| 887 |
|
|
#endif
|
| 888 |
|
|
|
| 889 |
|
|
#endif
|
| 890 |
|
|
|
| 891 |
|
|
/*
|
| 892 |
|
|
The following contribution is from Tielo Jongmans, Netherlands
|
| 893 |
|
|
These inline assembler routines are suitable for Watcom 10.0 and up
|
| 894 |
|
|
|
| 895 |
|
|
Added into miracl.h. Notice the override of the original declarations
|
| 896 |
|
|
of these routines, which should be removed.
|
| 897 |
|
|
|
| 898 |
|
|
The following pragma is optional, it is dangerous, but it saves a
|
| 899 |
|
|
calling sequence
|
| 900 |
|
|
*/
|
| 901 |
|
|
|
| 902 |
|
|
/*
|
| 903 |
|
|
|
| 904 |
|
|
#pragma off (check_stack);
|
| 905 |
|
|
|
| 906 |
|
|
extern unsigned int muldiv(unsigned int, unsigned int, unsigned int, unsigned int, unsigned int *);
|
| 907 |
|
|
#pragma aux muldiv= \
|
| 908 |
|
|
"mul edx" \
|
| 909 |
|
|
"add eax,ebx" \
|
| 910 |
|
|
"adc edx,0" \
|
| 911 |
|
|
"div ecx" \
|
| 912 |
|
|
"mov [esi],edx" \
|
| 913 |
|
|
parm [eax] [edx] [ebx] [ecx] [esi] \
|
| 914 |
|
|
value [eax] \
|
| 915 |
|
|
modify [eax edx];
|
| 916 |
|
|
|
| 917 |
|
|
extern unsigned int muldvm(unsigned int, unsigned int, unsigned int, unsigned int *);
|
| 918 |
|
|
#pragma aux muldvm= \
|
| 919 |
|
|
"div ebx" \
|
| 920 |
|
|
"mov [ecx],edx" \
|
| 921 |
|
|
parm [edx] [eax] [ebx] [ecx] \
|
| 922 |
|
|
value [eax] \
|
| 923 |
|
|
modify [eax edx];
|
| 924 |
|
|
|
| 925 |
|
|
extern unsigned int muldvd(unsigned int, unsigned int, unsigned int, unsigned int *);
|
| 926 |
|
|
#pragma aux muldvd= \
|
| 927 |
|
|
"mul edx" \
|
| 928 |
|
|
"add eax,ebx" \
|
| 929 |
|
|
"adc edx,0" \
|
| 930 |
|
|
"mov [ecx],eax" \
|
| 931 |
|
|
"mov eax,edx" \
|
| 932 |
|
|
parm [eax] [edx] [ebx] [ecx] \
|
| 933 |
|
|
value [eax] \
|
| 934 |
|
|
modify [eax edx];
|
| 935 |
|
|
|
| 936 |
|
|
*/
|
| 937 |
|
|
|
| 938 |
|
|
|
| 939 |
|
|
#endif
|
| 940 |
|
|
|
| 941 |
|
|
|
