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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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/* 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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/* 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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/* 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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#ifndef MR_NO_FILE_IO
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FILE *infile; /* Input file */
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FILE *otfile; /* Output file */
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#endif
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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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/* Montgomery constants */
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mr_small ndash;
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big modulus;
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BOOL ACTIVE;
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BOOL MONTY;
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/* Elliptic Curve details */
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BOOL SS; /* True for Super-Singular */
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big A,B,C;
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int coord,Asize,Bsize;
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int M,AA,BB,CC; /* for GF(2^m) curves */
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int logN; /* constants for fast fourier fft multiplication */
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int nprimes,degree;
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mr_utype *prime,*cr;
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mr_utype *inverse,**roots;
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small_chinese chin;
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mr_utype const1,const2,const3;
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mr_small msw,lsw;
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mr_utype **s1,**s2; /* pre-computed tables for polynomial reduction */
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mr_utype **t; /* workspace */
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mr_utype *wa;
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mr_utype *wb;
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mr_utype *wc;
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BOOL same;
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BOOL first_one;
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BOOL debug;
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big w0; /* workspace bigs */
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big w1,w2,w3,w4;
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big w5,w6,w7;
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big w8,w9,w10,w11;
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big w12,w13,w14,w15;
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big w16,w17,w18;
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/* User modifiables */
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char *IOBUFF; /* i/o buffer */
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int IOBSIZ; /* size of i/o buffer */
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BOOL ERCON; /* error control */
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int ERNUM; /* last error code */
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int NTRY; /* no. of tries for probablistic primality testing */
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int IOBASE; /* base for input and output */
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BOOL EXACT; /* exact flag */
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BOOL RPOINT; /* =ON for radix point, =OFF for fractions in output */
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BOOL TRACER; /* turns trace tracker on/off */
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int INPLEN; /* input length */
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int *PRIMES; /* small primes array */
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#ifdef MR_FLASH
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int workprec;
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int stprec; /* start precision */
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int RS,RD;
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double D;
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double db,n,p;
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int a,b,c,d,r,q,oldn,ndig;
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mr_small u,v,ku,kv;
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|
|
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 |
|
|
|