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/***************************************************************************
*
Copyright 2013 CertiVox UK Ltd. *
*
This file is part of CertiVox MIRACL Crypto SDK. *
*
The CertiVox MIRACL Crypto SDK provides developers with an *
extensive and efficient set of cryptographic functions. *
For further information about its features and functionalities please *
refer to http://www.certivox.com *
*
* The CertiVox MIRACL Crypto SDK is free software: you can *
redistribute it and/or modify it under the terms of the *
GNU Affero General Public License as published by the *
Free Software Foundation, either version 3 of the License, *
or (at your option) any later version. *
*
* The CertiVox MIRACL Crypto SDK is distributed in the hope *
that it will be useful, but WITHOUT ANY WARRANTY; without even the *
implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
See the GNU Affero General Public License for more details. *
*
* You should have received a copy of the GNU Affero General Public *
License along with CertiVox MIRACL Crypto SDK. *
If not, see <http://www.gnu.org/licenses/>. *
*
You can be released from the requirements of the license by purchasing *
a commercial license. Buying such a license is mandatory as soon as you *
develop commercial activities involving the CertiVox MIRACL Crypto SDK *
without disclosing the source code of your own applications, or shipping *
the CertiVox MIRACL Crypto SDK with a closed source product. *
*
***************************************************************************/
#ifndef MIRACL_H
#define MIRACL_H
/*
* main MIRACL header - miracl.h.
*/
#include "mirdef.h"
/* Some modifiable defaults... */
/* Use a smaller buffer if space is limited, don't be so wasteful! */
#ifdef MR_STATIC
#define MR_DEFAULT_BUFFER_SIZE 260
#else
#define MR_DEFAULT_BUFFER_SIZE 1024
#endif
/* see mrgf2m.c */
#ifndef MR_KARATSUBA
#define MR_KARATSUBA 2
#endif
#ifndef MR_DOUBLE_BIG
#ifdef MR_KCM
#ifdef MR_FLASH
#define MR_SPACES 32
#else
#define MR_SPACES 31
#endif
#else
#ifdef MR_FLASH
#define MR_SPACES 28
#else
#define MR_SPACES 27
#endif
#endif
#else
#ifdef MR_KCM
#ifdef MR_FLASH
#define MR_SPACES 44
#else
#define MR_SPACES 43
#endif
#else
#ifdef MR_FLASH
#define MR_SPACES 40
#else
#define MR_SPACES 39
#endif
#endif
#endif
/* To avoid name clashes - undefine this */
/* #define compare mr_compare */
#ifdef MR_AVR
#include <avr/pgmspace.h>
#endif
/* size of bigs and elliptic curve points for memory allocation from stack or heap */
#define MR_ROUNDUP(a,b) ((a)-1)/(b)+1
#define MR_SL sizeof(long)
#ifdef MR_STATIC
#define MR_SIZE (((sizeof(struct bigtype)+(MR_STATIC+2)*sizeof(mr_utype))-1)/MR_SL+1)*MR_SL
#define MR_BIG_RESERVE(n) ((n)*MR_SIZE+MR_SL)
#ifdef MR_AFFINE_ONLY
#define MR_ESIZE (((sizeof(epoint)+MR_BIG_RESERVE(2))-1)/MR_SL+1)*MR_SL
#else
#define MR_ESIZE (((sizeof(epoint)+MR_BIG_RESERVE(3))-1)/MR_SL+1)*MR_SL
#endif
#define MR_ECP_RESERVE(n) ((n)*MR_ESIZE+MR_SL)
#define MR_ESIZE_A (((sizeof(epoint)+MR_BIG_RESERVE(2))-1)/MR_SL+1)*MR_SL
#define MR_ECP_RESERVE_A(n) ((n)*MR_ESIZE_A+MR_SL)
#endif
/* useful macro to convert size of big in words, to size of required structure */
#define mr_size(n) (((sizeof(struct bigtype)+((n)+2)*sizeof(mr_utype))-1)/MR_SL+1)*MR_SL
#define mr_big_reserve(n,m) ((n)*mr_size(m)+MR_SL)
#define mr_esize_a(n) (((sizeof(epoint)+mr_big_reserve(2,(n)))-1)/MR_SL+1)*MR_SL
#define mr_ecp_reserve_a(n,m) ((n)*mr_esize_a(m)+MR_SL)
#ifdef MR_AFFINE_ONLY
#define mr_esize(n) (((sizeof(epoint)+mr_big_reserve(2,(n)))-1)/MR_SL+1)*MR_SL
#else
#define mr_esize(n) (((sizeof(epoint)+mr_big_reserve(3,(n)))-1)/MR_SL+1)*MR_SL
#endif
#define mr_ecp_reserve(n,m) ((n)*mr_esize(m)+MR_SL)
/* if basic library is static, make sure and use static C++ */
#ifdef MR_STATIC
#ifndef BIGS
#define BIGS MR_STATIC
#endif
#ifndef ZZNS
#define ZZNS MR_STATIC
#endif
#ifndef GF2MS
#define GF2MS MR_STATIC
#endif
#endif
#ifdef __ia64__
#if MIRACL==64
#define MR_ITANIUM
#include <ia64intrin.h>
#endif
#endif
#ifdef _M_X64
#ifdef _WIN64
#if MIRACL==64
#define MR_WIN64
#include <intrin.h>
#endif
#endif
#endif
#ifndef MR_NO_FILE_IO
#include <stdio.h>
#endif
/* error returns */
#define MR_ERR_BASE_TOO_BIG 1
#define MR_ERR_DIV_BY_ZERO 2
#define MR_ERR_OVERFLOW 3
#define MR_ERR_NEG_RESULT 4
#define MR_ERR_BAD_FORMAT 5
#define MR_ERR_BAD_BASE 6
#define MR_ERR_BAD_PARAMETERS 7
#define MR_ERR_OUT_OF_MEMORY 8
#define MR_ERR_NEG_ROOT 9
#define MR_ERR_NEG_POWER 10
#define MR_ERR_BAD_ROOT 11
#define MR_ERR_INT_OP 12
#define MR_ERR_FLASH_OVERFLOW 13
#define MR_ERR_TOO_BIG 14
#define MR_ERR_NEG_LOG 15
#define MR_ERR_DOUBLE_FAIL 16
#define MR_ERR_IO_OVERFLOW 17
#define MR_ERR_NO_MIRSYS 18
#define MR_ERR_BAD_MODULUS 19
#define MR_ERR_NO_MODULUS 20
#define MR_ERR_EXP_TOO_BIG 21
#define MR_ERR_NOT_SUPPORTED 22
#define MR_ERR_NOT_DOUBLE_LEN 23
#define MR_ERR_NOT_IRREDUC 24
#define MR_ERR_NO_ROUNDING 25
#define MR_ERR_NOT_BINARY 26
#define MR_ERR_NO_BASIS 27
#define MR_ERR_COMPOSITE_MODULUS 28
#define MR_ERR_DEV_RANDOM 29
/* some useful definitions */
#define forever for(;;)
#define mr_abs(x) ((x)<0? (-(x)) : (x))
#ifndef TRUE
#define TRUE 1
#endif
#ifndef FALSE
#define FALSE 0
#endif
#define OFF 0
#define ON 1
#define PLUS 1
#define MINUS (-1)
#define M1 (MIRACL-1)
#define M2 (MIRACL-2)
#define M3 (MIRACL-3)
#define M4 (MIRACL-4)
#define TOPBIT ((mr_small)1<<M1)
#define SECBIT ((mr_small)1<<M2)
#define THDBIT ((mr_small)1<<M3)
#define M8 (MIRACL-8)
#define MR_MAXDEPTH 24
/* max routine stack depth */
/* big and flash variables consist of an encoded length, *
* and an array of mr_smalls containing the digits */
#ifdef MR_COUNT_OPS
extern int fpm2,fpi2,fpc,fpa,fpx;
#endif
typedef int BOOL;
#define MR_BYTE unsigned char
#ifdef MR_BITSINCHAR
#if MR_BITSINCHAR == 8
#define MR_TOBYTE(x) ((MR_BYTE)(x))
#else
#define MR_TOBYTE(x) ((MR_BYTE)((x)&0xFF))
#endif
#else
#define MR_TOBYTE(x) ((MR_BYTE)(x))
#endif
#ifdef MR_FP
typedef mr_utype mr_small;
#ifdef mr_dltype
typedef mr_dltype mr_large;
#endif
#define MR_DIV(a,b) (modf((a)/(b),&dres),dres)
#ifdef MR_FP_ROUNDING
/* slightly dicey - for example the optimizer might remove the MAGIC ! */
#define MR_LROUND(a) ( ( (a) + MR_MAGIC ) - MR_MAGIC )
#else
#define MR_LROUND(a) (modfl((a),&ldres),ldres)
#endif
#define MR_REMAIN(a,b) ((a)-(b)*MR_DIV((a),(b)))
#else
typedef unsigned mr_utype mr_small;
#ifdef mr_dltype
typedef unsigned mr_dltype mr_large;
#endif
#ifdef mr_qltype
typedef unsigned mr_qltype mr_vlarge;
#endif
#define MR_DIV(a,b) ((a)/(b))
#define MR_REMAIN(a,b) ((a)%(b))
#define MR_LROUND(a) ((a))
#endif
/* It might be wanted to change this to unsigned long */
typedef unsigned int mr_lentype;
struct bigtype
{
mr_lentype len;
mr_small *w;
};
typedef struct bigtype *big;
typedef big zzn;
typedef big flash;
#define MR_MSBIT ((mr_lentype)1<<(MR_IBITS-1))
#define MR_OBITS (MR_MSBIT-1)
#if MIRACL >= MR_IBITS
#define MR_TOOBIG (1<<(MR_IBITS-2))
#else
#define MR_TOOBIG (1<<(MIRACL-1))
#endif
#ifdef MR_FLASH
#define MR_EBITS (8*sizeof(double) - MR_FLASH)
/* no of Bits per double exponent */
#define MR_BTS 16
#define MR_MSK 0xFFFF
#endif
/* Default Hash function output size in bytes */
#define MR_HASH_BYTES 32
/* Marsaglia & Zaman Random number generator */
/* constants alternatives */
#define NK 37 /* 21 */
#define NJ 24 /* 6 */
#define NV 14 /* 8 */
/* Use smaller values if memory is precious */
#ifdef mr_dltype
#ifdef MR_LITTLE_ENDIAN
#define MR_BOT 0
#define MR_TOP 1
#endif
#ifdef MR_BIG_ENDIAN
#define MR_BOT 1
#define MR_TOP 0
#endif
union doubleword
{
mr_large d;
mr_small h[2];
};
#endif
/* chinese remainder theorem structures */
typedef struct {
big *C;
big *V;
big *M;
int NP;
} big_chinese;
typedef struct {
mr_utype *C;
mr_utype *V;
mr_utype *M;
int NP;
} small_chinese;
/* Cryptographically strong pseudo-random number generator */
typedef struct {
mr_unsign32 ira[NK]; /* random number... */
int rndptr; /* ...array & pointer */
mr_unsign32 borrow;
int pool_ptr;
char pool[MR_HASH_BYTES]; /* random pool */
} csprng;
/* secure hash Algorithm structure */
typedef struct {
mr_unsign32 length[2];
mr_unsign32 h[8];
mr_unsign32 w[80];
} sha256;
typedef sha256 sha;
#ifdef mr_unsign64
typedef struct {
mr_unsign64 length[2];
mr_unsign64 h[8];
mr_unsign64 w[80];
} sha512;
typedef sha512 sha384;
typedef struct {
mr_unsign64 length;
mr_unsign64 S[5][5];
int rate,len;
} sha3;
#endif
/* Symmetric Encryption algorithm structure */
#define MR_ECB 0
#define MR_CBC 1
#define MR_CFB1 2
#define MR_CFB2 3
#define MR_CFB4 5
#define MR_PCFB1 10
#define MR_PCFB2 11
#define MR_PCFB4 13
#define MR_OFB1 14
#define MR_OFB2 15
#define MR_OFB4 17
#define MR_OFB8 21
#define MR_OFB16 29
typedef struct {
int Nk,Nr;
int mode;
mr_unsign32 fkey[60];
mr_unsign32 rkey[60];
char f[16];
} aes;
/* AES-GCM suppport. See mrgcm.c */
#define GCM_ACCEPTING_HEADER 0
#define GCM_ACCEPTING_CIPHER 1
#define GCM_NOT_ACCEPTING_MORE 2
#define GCM_FINISHED 3
#define GCM_ENCRYPTING 0
#define GCM_DECRYPTING 1
typedef struct {
mr_unsign32 table[128][4]; /* 2k bytes */
MR_BYTE stateX[16];
MR_BYTE Y_0[16];
mr_unsign32 counter;
mr_unsign32 lenA[2],lenC[2];
int status;
aes a;
} gcm;
/* Elliptic curve point status */
#define MR_EPOINT_GENERAL 0
#define MR_EPOINT_NORMALIZED 1
#define MR_EPOINT_INFINITY 2
#define MR_NOTSET 0
#define MR_PROJECTIVE 0
#define MR_AFFINE 1
#define MR_BEST 2
#define MR_TWIST 8
#define MR_OVER 0
#define MR_ADD 1
#define MR_DOUBLE 2
/* Twist type */
#define MR_QUADRATIC 2
#define MR_CUBIC_M 0x3A
#define MR_CUBIC_D 0x3B
#define MR_QUARTIC_M 0x4A
#define MR_QUARTIC_D 0x4B
#define MR_SEXTIC_M 0x6A
#define MR_SEXTIC_D 0x6B
/* Fractional Sliding Windows for ECC - how much precomputation storage to use ? */
/* Note that for variable point multiplication there is an optimal value
which can be reduced if space is short. For fixed points its a matter of
how much ROM is available to store precomputed points.
We are storing the k points (P,3P,5P,7P,...,[2k-1].P) */
/* These values can be manually tuned for optimal performance... */
#ifdef MR_SMALL_EWINDOW
#define MR_ECC_STORE_N 3 /* point store for ecn variable point multiplication */
#define MR_ECC_STORE_2M 3 /* point store for ec2m variable point multiplication */
#define MR_ECC_STORE_N2 3 /* point store for ecn2 variable point multiplication */
#else
#define MR_ECC_STORE_N 8 /* 8/9 is close to optimal for 256 bit exponents */
#define MR_ECC_STORE_2M 9
#define MR_ECC_STORE_N2 8
#endif
/*#define MR_ECC_STORE_N2_PRECOMP MR_ECC_STORE_N2 */
/* Might want to make this bigger.. */
/* If multi-addition is of m points, and s precomputed values are required, this is max of m*s (=4.10?) */
#define MR_MAX_M_T_S 64
/* Elliptic Curve epoint structure. Uses projective (X,Y,Z) co-ordinates */
typedef struct {
int marker;
big X;
big Y;
#ifndef MR_AFFINE_ONLY
big Z;
#endif
} epoint;
/* Structure for Comb method for finite *
field exponentiation with precomputation */
typedef struct {
#ifdef MR_STATIC
const mr_small *table;
#else
mr_small *table;
#endif
big n;
int window;
int max;
} brick;
/* Structure for Comb method for elliptic *
curve exponentiation with precomputation */
typedef struct {
#ifdef MR_STATIC
const mr_small *table;
#else
mr_small *table;
#endif
big a,b,n;
int window;
int max;
} ebrick;
typedef struct {
#ifdef MR_STATIC
const mr_small *table;
#else
mr_small *table;
#endif
big a6,a2;
int m,a,b,c;
int window;
int max;
} ebrick2;
typedef struct
{
big a;
big b;
} zzn2;
typedef struct
{
zzn2 a;
zzn2 b;
BOOL unitary;
} zzn4;
typedef struct
{
int marker;
zzn2 x;
zzn2 y;
#ifndef MR_AFFINE_ONLY
zzn2 z;
#endif
} ecn2;
typedef struct
{
big a;
big b;
big c;
} zzn3;
typedef struct
{
zzn2 a;
zzn2 b;
zzn2 c;
} zzn6_3x2;
/* main MIRACL instance structure */
/* ------------------------------------------------------------------------*/
typedef struct {
mr_small base; /* number base */
mr_small apbase; /* apparent base */
int pack; /* packing density */
int lg2b; /* bits in base */
mr_small base2; /* 2^mr_lg2b */
BOOL (*user)(void); /* pointer to user supplied function */
int nib; /* length of bigs */
#ifndef MR_STRIPPED_DOWN
int depth; /* error tracing ..*/
int trace[MR_MAXDEPTH]; /* .. mechanism */
#endif
BOOL check; /* overflow check */
BOOL fout; /* Output to file */
BOOL fin; /* Input from file */
BOOL active;
#ifndef MR_NO_FILE_IO
FILE *infile; /* Input file */
FILE *otfile; /* Output file */
#endif
#ifndef MR_NO_RAND
mr_unsign32 ira[NK]; /* random number... */
int rndptr; /* ...array & pointer */
mr_unsign32 borrow;
#endif
/* Montgomery constants */
mr_small ndash;
big modulus;
big pR;
BOOL ACTIVE;
BOOL MONTY;
/* Elliptic Curve details */
#ifndef MR_NO_SS
BOOL SS; /* True for Super-Singular */
#endif
#ifndef MR_NOKOBLITZ
BOOL KOBLITZ; /* True for a Koblitz curve */
#endif
#ifndef MR_AFFINE_ONLY
int coord;
#endif
int Asize,Bsize;
int M,AA,BB,CC; /* for GF(2^m) curves */
/*
mr_small pm,mask;
int e,k,Me,m; for GF(p^m) curves */
#ifndef MR_STATIC
int logN; /* constants for fast fourier fft multiplication */
int nprimes,degree;
mr_utype *prime,*cr;
mr_utype *inverse,**roots;
small_chinese chin;
mr_utype const1,const2,const3;
mr_small msw,lsw;
mr_utype **s1,**s2; /* pre-computed tables for polynomial reduction */
mr_utype **t; /* workspace */
mr_utype *wa;
mr_utype *wb;
mr_utype *wc;
#endif
BOOL same;
BOOL first_one;
BOOL debug;
big w0; /* workspace bigs */
big w1,w2,w3,w4;
big w5,w6,w7;
big w8,w9,w10,w11;
big w12,w13,w14,w15;
big sru;
big one;
#ifdef MR_KCM
big big_ndash;
big ws,wt;
#endif
big A,B;
/* User modifiables */
#ifndef MR_SIMPLE_IO
int IOBSIZ; /* size of i/o buffer */
#endif
BOOL ERCON; /* error control */
int ERNUM; /* last error code */
int NTRY; /* no. of tries for probablistic primality testing */
#ifndef MR_SIMPLE_IO
int INPLEN; /* input length */
#ifndef MR_SIMPLE_BASE
int IOBASE; /* base for input and output */
#endif
#endif
#ifdef MR_FLASH
BOOL EXACT; /* exact flag */
BOOL RPOINT; /* =ON for radix point, =OFF for fractions in output */
#endif
#ifndef MR_STRIPPED_DOWN
BOOL TRACER; /* turns trace tracker on/off */
#endif
#ifdef MR_STATIC
const int *PRIMES; /* small primes array */
#ifndef MR_SIMPLE_IO
char IOBUFF[MR_DEFAULT_BUFFER_SIZE]; /* i/o buffer */
#endif
#else
int *PRIMES; /* small primes array */
#ifndef MR_SIMPLE_IO
char *IOBUFF; /* i/o buffer */
#endif
#endif
#ifdef MR_FLASH
int workprec;
int stprec; /* start precision */
int RS,RD;
double D;
double db,n,p;
int a,b,c,d,r,q,oldn,ndig;
mr_small u,v,ku,kv;
BOOL last,carryon;
flash pi;
#endif
#ifdef MR_FP_ROUNDING
mr_large inverse_base;
#endif
#ifndef MR_STATIC
char *workspace;
#else
char workspace[MR_BIG_RESERVE(MR_SPACES)];
#endif
int TWIST; /* set to twisted curve */
int qnr; /* a QNR -1 for p=3 mod 4, -2 for p=5 mod 8, 0 otherwise */
int cnr; /* a cubic non-residue */
int pmod8;
int pmod9;
BOOL NO_CARRY;
} miracl;
/* ------------------------------------------------------------------------*/
#ifndef MR_GENERIC_MT
#ifdef MR_WINDOWS_MT
#define MR_OS_THREADS
#endif
#ifdef MR_UNIX_MT
#define MR_OS_THREADS
#endif
#ifdef MR_OPENMP_MT
#define MR_OS_THREADS
#endif
#ifndef MR_OS_THREADS
extern miracl *mr_mip; /* pointer to MIRACL's only global variable */
#endif
#endif
#ifdef MR_GENERIC_MT
#ifdef MR_STATIC
#define MR_GENERIC_AND_STATIC
#endif
#define _MIPT_ miracl *,
#define _MIPTO_ miracl *
#define _MIPD_ miracl *mr_mip,
#define _MIPDO_ miracl *mr_mip
#define _MIPP_ mr_mip,
#define _MIPPO_ mr_mip
#else
#define _MIPT_
#define _MIPTO_ void
#define _MIPD_
#define _MIPDO_ void
#define _MIPP_
#define _MIPPO_
#endif
/* Preamble and exit code for MIRACL routines. *
* Not used if MR_STRIPPED_DOWN is defined */
#ifdef MR_STRIPPED_DOWN
#define MR_OUT
#define MR_IN(N)
#else
#define MR_OUT mr_mip->depth--;
#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_); }
#endif
/* Function definitions */
/* Group 0 - Internal routines */
extern void mr_berror(_MIPT_ int);
extern mr_small mr_shiftbits(mr_small,int);
extern mr_small mr_setbase(_MIPT_ mr_small);
extern void mr_track(_MIPTO_ );
extern void mr_lzero(big);
extern BOOL mr_notint(flash);
extern int mr_lent(flash);
extern void mr_padd(_MIPT_ big,big,big);
extern void mr_psub(_MIPT_ big,big,big);
extern void mr_pmul(_MIPT_ big,mr_small,big);
#ifdef MR_FP_ROUNDING
extern mr_large mr_invert(mr_small);
extern mr_small imuldiv(mr_small,mr_small,mr_small,mr_small,mr_large,mr_small *);
extern mr_small mr_sdiv(_MIPT_ big,mr_small,mr_large,big);
#else
extern mr_small mr_sdiv(_MIPT_ big,mr_small,big);
extern void mr_and(big,big,big);
extern void mr_xor(big,big,big);
#endif
extern void mr_shift(_MIPT_ big,int,big);
extern miracl *mr_first_alloc(void);
extern void *mr_alloc(_MIPT_ int,int);
extern void mr_free(void *);
extern void set_user_function(_MIPT_ BOOL (*)(void));
extern void set_io_buffer_size(_MIPT_ int);
extern int mr_testbit(_MIPT_ big,int);
extern void mr_addbit(_MIPT_ big,int);
extern int recode(_MIPT_ big ,int ,int ,int );
extern int mr_window(_MIPT_ big,int,int *,int *,int);
extern int mr_window2(_MIPT_ big,big,int,int *,int *);
extern int mr_naf_window(_MIPT_ big,big,int,int *,int *,int);
extern int mr_fft_init(_MIPT_ int,big,big,BOOL);
extern void mr_dif_fft(_MIPT_ int,int,mr_utype *);
extern void mr_dit_fft(_MIPT_ int,int,mr_utype *);
extern void fft_reset(_MIPTO_);
extern int mr_poly_mul(_MIPT_ int,big*,int,big*,big*);
extern int mr_poly_sqr(_MIPT_ int,big*,big*);
extern void mr_polymod_set(_MIPT_ int,big*,big*);
extern int mr_poly_rem(_MIPT_ int,big *,big *);
extern int mr_ps_big_mul(_MIPT_ int,big *,big *,big *);
extern int mr_ps_zzn_mul(_MIPT_ int,big *,big *,big *);
extern mr_small muldiv(mr_small,mr_small,mr_small,mr_small,mr_small *);
extern mr_small muldvm(mr_small,mr_small,mr_small,mr_small *);
extern mr_small muldvd(mr_small,mr_small,mr_small,mr_small *);
extern void muldvd2(mr_small,mr_small,mr_small *,mr_small *);
extern flash mirvar_mem_variable(char *,int,int);
extern epoint* epoint_init_mem_variable(_MIPT_ char *,int,int);
/* Group 1 - General purpose, I/O and basic arithmetic routines */
extern unsigned int igcd(unsigned int,unsigned int);
extern unsigned long lgcd(unsigned long,unsigned long);
extern mr_small sgcd(mr_small,mr_small);
extern unsigned int isqrt(unsigned int,unsigned int);
extern unsigned long mr_lsqrt(unsigned long,unsigned long);
extern void irand(_MIPT_ mr_unsign32);
extern mr_small brand(_MIPTO_ );
extern void zero(flash);
extern void convert(_MIPT_ int,big);
extern void uconvert(_MIPT_ unsigned int,big);
extern void lgconv(_MIPT_ long,big);
extern void ulgconv(_MIPT_ unsigned long,big);
extern void tconvert(_MIPT_ mr_utype,big);
#ifdef mr_dltype
extern void dlconv(_MIPT_ mr_dltype,big);
#endif
extern flash mirvar(_MIPT_ int);
extern flash mirvar_mem(_MIPT_ char *,int);
extern void mirkill(big);
extern void *memalloc(_MIPT_ int);
extern void memkill(_MIPT_ char *,int);
extern void mr_init_threading(void);
extern void mr_end_threading(void);
extern miracl *get_mip(void );
extern void set_mip(miracl *);
#ifdef MR_GENERIC_AND_STATIC
extern miracl *mirsys(miracl *,int,mr_small);
#else
extern miracl *mirsys(int,mr_small);
#endif
extern miracl *mirsys_basic(miracl *,int,mr_small);
extern void mirexit(_MIPTO_ );
extern int exsign(flash);
extern void insign(int,flash);
extern int getdig(_MIPT_ big,int);
extern int numdig(_MIPT_ big);
extern void putdig(_MIPT_ int,big,int);
extern void copy(flash,flash);
extern void negify(flash,flash);
extern void absol(flash,flash);
extern int size(big);
extern int mr_compare(big,big);
extern void add(_MIPT_ big,big,big);
extern void subtract(_MIPT_ big,big,big);
extern void incr(_MIPT_ big,int,big);
extern void decr(_MIPT_ big,int,big);
extern void premult(_MIPT_ big,int,big);
extern int subdiv(_MIPT_ big,int,big);
extern BOOL subdivisible(_MIPT_ big,int);
extern int remain(_MIPT_ big,int);
extern void bytes_to_big(_MIPT_ int,const char *,big);
extern int big_to_bytes(_MIPT_ int,big,char *,BOOL);
extern mr_small normalise(_MIPT_ big,big);
extern void multiply(_MIPT_ big,big,big);
extern void fft_mult(_MIPT_ big,big,big);
extern BOOL fastmultop(_MIPT_ int,big,big,big);
extern void divide(_MIPT_ big,big,big);
extern BOOL divisible(_MIPT_ big,big);
extern void mad(_MIPT_ big,big,big,big,big,big);
extern int instr(_MIPT_ flash,char *);
extern int otstr(_MIPT_ flash,char *);
extern int cinstr(_MIPT_ flash,char *);
extern int cotstr(_MIPT_ flash,char *);
extern epoint* epoint_init(_MIPTO_ );
extern epoint* epoint_init_mem(_MIPT_ char *,int);
extern void* ecp_memalloc(_MIPT_ int);
void ecp_memkill(_MIPT_ char *,int);
BOOL init_big_from_rom(big,int,const mr_small *,int ,int *);
BOOL init_point_from_rom(epoint *,int,const mr_small *,int,int *);
#ifndef MR_NO_FILE_IO
extern int innum(_MIPT_ flash,FILE *);
extern int otnum(_MIPT_ flash,FILE *);
extern int cinnum(_MIPT_ flash,FILE *);
extern int cotnum(_MIPT_ flash,FILE *);
#endif
/* Group 2 - Advanced arithmetic routines */
extern mr_small smul(mr_small,mr_small,mr_small);
extern mr_small spmd(mr_small,mr_small,mr_small);
extern mr_small invers(mr_small,mr_small);
extern mr_small sqrmp(mr_small,mr_small);
extern int jac(mr_small,mr_small);
extern void gprime(_MIPT_ int);
extern int jack(_MIPT_ big,big);
extern int egcd(_MIPT_ big,big,big);
extern int xgcd(_MIPT_ big,big,big,big,big);
extern int invmodp(_MIPT_ big,big,big);
extern int logb2(_MIPT_ big);
extern int hamming(_MIPT_ big);
extern void expb2(_MIPT_ int,big);
extern void bigbits(_MIPT_ int,big);
extern void expint(_MIPT_ int,int,big);
extern void sftbit(_MIPT_ big,int,big);
extern void power(_MIPT_ big,long,big,big);
extern void powmod(_MIPT_ big,big,big,big);
extern void powmod2(_MIPT_ big,big,big,big,big,big);
extern void powmodn(_MIPT_ int,big *,big *,big,big);
extern int powltr(_MIPT_ int,big,big,big);
extern BOOL double_inverse(_MIPT_ big,big,big,big,big);
extern BOOL multi_inverse(_MIPT_ int,big*,big,big*);
extern void lucas(_MIPT_ big,big,big,big,big);
extern BOOL nroot(_MIPT_ big,int,big);
extern BOOL sqroot(_MIPT_ big,big,big);
extern void bigrand(_MIPT_ big,big);
extern void bigdig(_MIPT_ int,int,big);
extern int trial_division(_MIPT_ big,big);
extern BOOL isprime(_MIPT_ big);
extern BOOL nxprime(_MIPT_ big,big);
extern BOOL nxsafeprime(_MIPT_ int,int,big,big);
extern BOOL crt_init(_MIPT_ big_chinese *,int,big *);
extern void crt(_MIPT_ big_chinese *,big *,big);
extern void crt_end(big_chinese *);
extern BOOL scrt_init(_MIPT_ small_chinese *,int,mr_utype *);
extern void scrt(_MIPT_ small_chinese*,mr_utype *,big);
extern void scrt_end(small_chinese *);
#ifndef MR_STATIC
extern BOOL brick_init(_MIPT_ brick *,big,big,int,int);
extern void brick_end(brick *);
#else
extern void brick_init(brick *,const mr_small *,big,int,int);
#endif
extern void pow_brick(_MIPT_ brick *,big,big);
#ifndef MR_STATIC
extern BOOL ebrick_init(_MIPT_ ebrick *,big,big,big,big,big,int,int);
extern void ebrick_end(ebrick *);
#else
extern void ebrick_init(ebrick *,const mr_small *,big,big,big,int,int);
#endif
extern int mul_brick(_MIPT_ ebrick*,big,big,big);
#ifndef MR_STATIC
extern BOOL ebrick2_init(_MIPT_ ebrick2 *,big,big,big,big,int,int,int,int,int,int);
extern void ebrick2_end(ebrick2 *);
#else
extern void ebrick2_init(ebrick2 *,const mr_small *,big,big,int,int,int,int,int,int);
#endif
extern int mul2_brick(_MIPT_ ebrick2*,big,big,big);
/* Montgomery stuff */
extern mr_small prepare_monty(_MIPT_ big);
extern void kill_monty(_MIPTO_ );
extern void nres(_MIPT_ big,big);
extern void redc(_MIPT_ big,big);
extern void nres_negate(_MIPT_ big,big);
extern void nres_modadd(_MIPT_ big,big,big);
extern void nres_modsub(_MIPT_ big,big,big);
extern void nres_lazy(_MIPT_ big,big,big,big,big,big);
extern void nres_complex(_MIPT_ big,big,big,big);
extern void nres_double_modadd(_MIPT_ big,big,big);
extern void nres_double_modsub(_MIPT_ big,big,big);
extern void nres_premult(_MIPT_ big,int,big);
extern void nres_modmult(_MIPT_ big,big,big);
extern int nres_moddiv(_MIPT_ big,big,big);
extern void nres_dotprod(_MIPT_ int,big *,big *,big);
extern void nres_powmod(_MIPT_ big,big,big);
extern void nres_powltr(_MIPT_ int,big,big);
extern void nres_powmod2(_MIPT_ big,big,big,big,big);
extern void nres_powmodn(_MIPT_ int,big *,big *,big);
extern BOOL nres_sqroot(_MIPT_ big,big);
extern void nres_lucas(_MIPT_ big,big,big,big);
extern BOOL nres_double_inverse(_MIPT_ big,big,big,big);
extern BOOL nres_multi_inverse(_MIPT_ int,big *,big *);
extern void nres_div2(_MIPT_ big,big);
extern void nres_div3(_MIPT_ big,big);
extern void nres_div5(_MIPT_ big,big);
extern void shs_init(sha *);
extern void shs_process(sha *,int);
extern void shs_hash(sha *,char *);
extern void shs256_init(sha256 *);
extern void shs256_process(sha256 *,int);
extern void shs256_hash(sha256 *,char *);
#ifdef mr_unsign64
extern void shs512_init(sha512 *);
extern void shs512_process(sha512 *,int);
extern void shs512_hash(sha512 *,char *);
extern void shs384_init(sha384 *);
extern void shs384_process(sha384 *,int);
extern void shs384_hash(sha384 *,char *);
extern void sha3_init(sha3 *,int);
extern void sha3_process(sha3 *,int);
extern void sha3_hash(sha3 *,char *);
#endif
extern BOOL aes_init(aes *,int,int,char *,char *);
extern void aes_getreg(aes *,char *);
extern void aes_ecb_encrypt(aes *,MR_BYTE *);
extern void aes_ecb_decrypt(aes *,MR_BYTE *);
extern mr_unsign32 aes_encrypt(aes *,char *);
extern mr_unsign32 aes_decrypt(aes *,char *);
extern void aes_reset(aes *,int,char *);
extern void aes_end(aes *);
extern void gcm_init(gcm *,int,char *,int,char *);
extern BOOL gcm_add_header(gcm *,char *,int);
extern BOOL gcm_add_cipher(gcm *,int,char *,int,char *);
extern void gcm_finish(gcm *,char *);
extern void FPE_encrypt(int ,aes *,mr_unsign32 ,mr_unsign32 ,char *,int);
extern void FPE_decrypt(int ,aes *,mr_unsign32 ,mr_unsign32 ,char *,int);
extern void strong_init(csprng *,int,char *,mr_unsign32);
extern int strong_rng(csprng *);
extern void strong_bigrand(_MIPT_ csprng *,big,big);
extern void strong_bigdig(_MIPT_ csprng *,int,int,big);
extern void strong_kill(csprng *);
/* special modular multipliers */
extern void comba_mult(big,big,big);
extern void comba_square(big,big);
extern void comba_redc(_MIPT_ big,big);
extern void comba_modadd(_MIPT_ big,big,big);
extern void comba_modsub(_MIPT_ big,big,big);
extern void comba_double_modadd(_MIPT_ big,big,big);
extern void comba_double_modsub(_MIPT_ big,big,big);
extern void comba_negate(_MIPT_ big,big);
extern void comba_add(big,big,big);
extern void comba_sub(big,big,big);
extern void comba_double_add(big,big,big);
extern void comba_double_sub(big,big,big);
extern void comba_mult2(_MIPT_ big,big,big);
extern void fastmodmult(_MIPT_ big,big,big);
extern void fastmodsquare(_MIPT_ big,big);
extern void kcm_mul(_MIPT_ big,big,big);
extern void kcm_sqr(_MIPT_ big,big);
extern void kcm_redc(_MIPT_ big,big);
extern void kcm_multiply(_MIPT_ int,big,big,big);
extern void kcm_square(_MIPT_ int,big,big);
extern BOOL kcm_top(_MIPT_ int,big,big,big);
/* elliptic curve stuff */
extern BOOL point_at_infinity(epoint *);
extern void mr_jsf(_MIPT_ big,big,big,big,big,big);
extern void ecurve_init(_MIPT_ big,big,big,int);
extern int ecurve_add(_MIPT_ epoint *,epoint *);
extern int ecurve_sub(_MIPT_ epoint *,epoint *);
extern void ecurve_double_add(_MIPT_ epoint *,epoint *,epoint *,epoint *,big *,big *);
extern void ecurve_multi_add(_MIPT_ int,epoint **,epoint **);
extern void ecurve_double(_MIPT_ epoint*);
extern int ecurve_mult(_MIPT_ big,epoint *,epoint *);
extern void ecurve_mult2(_MIPT_ big,epoint *,big,epoint *,epoint *);
extern void ecurve_multn(_MIPT_ int,big *,epoint**,epoint *);
extern BOOL epoint_x(_MIPT_ big);
extern BOOL epoint_set(_MIPT_ big,big,int,epoint*);
extern int epoint_get(_MIPT_ epoint*,big,big);
extern void epoint_getxyz(_MIPT_ epoint *,big,big,big);
extern BOOL epoint_norm(_MIPT_ epoint *);
extern BOOL epoint_multi_norm(_MIPT_ int,big *,epoint **);
extern void epoint_free(epoint *);
extern void epoint_copy(epoint *,epoint *);
extern BOOL epoint_comp(_MIPT_ epoint *,epoint *);
extern void epoint_negate(_MIPT_ epoint *);
extern BOOL ecurve2_init(_MIPT_ int,int,int,int,big,big,BOOL,int);
extern big ecurve2_add(_MIPT_ epoint *,epoint *);
extern big ecurve2_sub(_MIPT_ epoint *,epoint *);
extern void ecurve2_multi_add(_MIPT_ int,epoint **,epoint **);
extern void ecurve2_mult(_MIPT_ big,epoint *,epoint *);
extern void ecurve2_mult2(_MIPT_ big,epoint *,big,epoint *,epoint *);
extern void ecurve2_multn(_MIPT_ int,big *,epoint**,epoint *);
extern epoint* epoint2_init(_MIPTO_ );
extern BOOL epoint2_set(_MIPT_ big,big,int,epoint*);
extern int epoint2_get(_MIPT_ epoint*,big,big);
extern void epoint2_getxyz(_MIPT_ epoint *,big,big,big);
extern int epoint2_norm(_MIPT_ epoint *);
extern void epoint2_free(epoint *);
extern void epoint2_copy(epoint *,epoint *);
extern BOOL epoint2_comp(_MIPT_ epoint *,epoint *);
extern void epoint2_negate(_MIPT_ epoint *);
/* GF(2) stuff */
extern BOOL prepare_basis(_MIPT_ int,int,int,int,BOOL);
extern int parity2(big);
extern BOOL multi_inverse2(_MIPT_ int,big *,big *);
extern void add2(big,big,big);
extern void incr2(big,int,big);
extern void reduce2(_MIPT_ big,big);
extern void multiply2(_MIPT_ big,big,big);
extern void modmult2(_MIPT_ big,big,big);
extern void modsquare2(_MIPT_ big,big);
extern void power2(_MIPT_ big,int,big);
extern void sqroot2(_MIPT_ big,big);
extern void halftrace2(_MIPT_ big,big);
extern BOOL quad2(_MIPT_ big,big);
extern BOOL inverse2(_MIPT_ big,big);
extern void karmul2(int,mr_small *,mr_small *,mr_small *,mr_small *);
extern void karmul2_poly(_MIPT_ int,big *,big *,big *,big *);
extern void karmul2_poly_upper(_MIPT_ int,big *,big *,big *,big *);
extern void gf2m_dotprod(_MIPT_ int,big *,big *,big);
extern int trace2(_MIPT_ big);
extern void rand2(_MIPT_ big);
extern void gcd2(_MIPT_ big,big,big);
extern int degree2(big);
/* zzn2 stuff */
extern BOOL zzn2_iszero(zzn2 *);
extern BOOL zzn2_isunity(_MIPT_ zzn2 *);
extern void zzn2_from_int(_MIPT_ int,zzn2 *);
extern void zzn2_from_ints(_MIPT_ int,int,zzn2 *);
extern void zzn2_copy(zzn2 *,zzn2 *);
extern void zzn2_zero(zzn2 *);
extern void zzn2_negate(_MIPT_ zzn2 *,zzn2 *);
extern void zzn2_conj(_MIPT_ zzn2 *,zzn2 *);
extern void zzn2_add(_MIPT_ zzn2 *,zzn2 *,zzn2 *);
extern void zzn2_sub(_MIPT_ zzn2 *,zzn2 *,zzn2 *);
extern void zzn2_smul(_MIPT_ zzn2 *,big,zzn2 *);
extern void zzn2_mul(_MIPT_ zzn2 *,zzn2 *,zzn2 *);
extern void zzn2_sqr(_MIPT_ zzn2 *,zzn2 *);
extern void zzn2_inv(_MIPT_ zzn2 *);
extern void zzn2_timesi(_MIPT_ zzn2 *);
extern void zzn2_powl(_MIPT_ zzn2 *,big,zzn2 *);
extern void zzn2_from_zzns(big,big,zzn2 *);
extern void zzn2_from_bigs(_MIPT_ big,big,zzn2 *);
extern void zzn2_from_zzn(big,zzn2 *);
extern void zzn2_from_big(_MIPT_ big, zzn2 *);
extern void zzn2_sadd(_MIPT_ zzn2 *,big,zzn2 *);
extern void zzn2_ssub(_MIPT_ zzn2 *,big,zzn2 *);
extern void zzn2_div2(_MIPT_ zzn2 *);
extern void zzn2_div3(_MIPT_ zzn2 *);
extern void zzn2_div5(_MIPT_ zzn2 *);
extern void zzn2_imul(_MIPT_ zzn2 *,int,zzn2 *);
extern BOOL zzn2_compare(zzn2 *,zzn2 *);
extern void zzn2_txx(_MIPT_ zzn2 *);
extern void zzn2_txd(_MIPT_ zzn2 *);
extern BOOL zzn2_sqrt(_MIPT_ zzn2 *,zzn2 *);
extern BOOL zzn2_qr(_MIPT_ zzn2 *);
extern BOOL zzn2_multi_inverse(_MIPT_ int,zzn2 *,zzn2 *);
/* zzn3 stuff */
extern void zzn3_set(_MIPT_ int,big);
extern BOOL zzn3_iszero(zzn3 *);
extern BOOL zzn3_isunity(_MIPT_ zzn3 *);
extern void zzn3_from_int(_MIPT_ int,zzn3 *);
extern void zzn3_from_ints(_MIPT_ int,int,int,zzn3 *);
extern void zzn3_copy(zzn3 *,zzn3 *);
extern void zzn3_zero(zzn3 *);
extern void zzn3_negate(_MIPT_ zzn3 *,zzn3 *);
extern void zzn3_powq(_MIPT_ zzn3 *,zzn3 *);
extern void zzn3_add(_MIPT_ zzn3 *,zzn3 *,zzn3 *);
extern void zzn3_sub(_MIPT_ zzn3 *,zzn3 *,zzn3 *);
extern void zzn3_smul(_MIPT_ zzn3 *,big,zzn3 *);
extern void zzn3_mul(_MIPT_ zzn3 *,zzn3 *,zzn3 *);
extern void zzn3_inv(_MIPT_ zzn3 *);
extern void zzn3_timesi(_MIPT_ zzn3 *);
extern void zzn3_timesi2(_MIPT_ zzn3 *);
extern void zzn3_powl(_MIPT_ zzn3 *,big,zzn3 *);
extern void zzn3_from_zzns(big,big,big,zzn3 *);
extern void zzn3_from_bigs(_MIPT_ big,big,big,zzn3 *);
extern void zzn3_from_zzn(big,zzn3 *);
extern void zzn3_from_zzn_1(big,zzn3 *);
extern void zzn3_from_zzn_2(big,zzn3 *);
extern void zzn3_from_big(_MIPT_ big, zzn3 *);
extern void zzn3_sadd(_MIPT_ zzn3 *,big,zzn3 *);
extern void zzn3_ssub(_MIPT_ zzn3 *,big,zzn3 *);
extern void zzn3_div2(_MIPT_ zzn3 *);
extern void zzn3_imul(_MIPT_ zzn3 *,int,zzn3 *);
extern BOOL zzn3_compare(zzn3 *,zzn3 *);
/* zzn4 stuff */
extern BOOL zzn4_iszero(zzn4 *);
extern BOOL zzn4_isunity(_MIPT_ zzn4 *);
extern void zzn4_from_int(_MIPT_ int,zzn4 *);
extern void zzn4_copy(zzn4 *,zzn4 *);
extern void zzn4_zero(zzn4 *);
extern void zzn4_negate(_MIPT_ zzn4 *,zzn4 *);
extern void zzn4_powq(_MIPT_ zzn2 *,zzn4 *);
extern void zzn4_add(_MIPT_ zzn4 *,zzn4 *,zzn4 *);
extern void zzn4_sub(_MIPT_ zzn4 *,zzn4 *,zzn4 *);
extern void zzn4_smul(_MIPT_ zzn4 *,zzn2 *,zzn4 *);
extern void zzn4_sqr(_MIPT_ zzn4 *,zzn4 *);
extern void zzn4_mul(_MIPT_ zzn4 *,zzn4 *,zzn4 *);
extern void zzn4_inv(_MIPT_ zzn4 *);
extern void zzn4_timesi(_MIPT_ zzn4 *);
extern void zzn4_tx(_MIPT_ zzn4 *);
extern void zzn4_from_zzn2s(zzn2 *,zzn2 *,zzn4 *);
extern void zzn4_from_zzn2(zzn2 *,zzn4 *);
extern void zzn4_from_zzn2h(zzn2 *,zzn4 *);
extern void zzn4_from_zzn(big,zzn4 *);
extern void zzn4_from_big(_MIPT_ big , zzn4 *);
extern void zzn4_sadd(_MIPT_ zzn4 *,zzn2 *,zzn4 *);
extern void zzn4_ssub(_MIPT_ zzn4 *,zzn2 *,zzn4 *);
extern void zzn4_div2(_MIPT_ zzn4 *);
extern void zzn4_conj(_MIPT_ zzn4 *,zzn4 *);
extern void zzn4_imul(_MIPT_ zzn4 *,int,zzn4 *);
extern void zzn4_lmul(_MIPT_ zzn4 *,big,zzn4 *);
extern BOOL zzn4_compare(zzn4 *,zzn4 *);
/* ecn2 stuff */
extern BOOL ecn2_iszero(ecn2 *);
extern void ecn2_copy(ecn2 *,ecn2 *);
extern void ecn2_zero(ecn2 *);
extern BOOL ecn2_compare(_MIPT_ ecn2 *,ecn2 *);
extern void ecn2_norm(_MIPT_ ecn2 *);
extern void ecn2_get(_MIPT_ ecn2 *,zzn2 *,zzn2 *,zzn2 *);
extern void ecn2_getxy(ecn2 *,zzn2 *,zzn2 *);
extern void ecn2_getx(ecn2 *,zzn2 *);
extern void ecn2_getz(_MIPT_ ecn2 *,zzn2 *);
extern void ecn2_rhs(_MIPT_ zzn2 *,zzn2 *);
extern BOOL ecn2_set(_MIPT_ zzn2 *,zzn2 *,ecn2 *);
extern BOOL ecn2_setx(_MIPT_ zzn2 *,ecn2 *);
extern void ecn2_setxyz(_MIPT_ zzn2 *,zzn2 *,zzn2 *,ecn2 *);
extern void ecn2_negate(_MIPT_ ecn2 *,ecn2 *);
extern BOOL ecn2_add3(_MIPT_ ecn2 *,ecn2 *,zzn2 *,zzn2 *,zzn2 *);
extern BOOL ecn2_add2(_MIPT_ ecn2 *,ecn2 *,zzn2 *,zzn2 *);
extern BOOL ecn2_add1(_MIPT_ ecn2 *,ecn2 *,zzn2 *);
extern BOOL ecn2_add(_MIPT_ ecn2 *,ecn2 *);
extern BOOL ecn2_sub(_MIPT_ ecn2 *,ecn2 *);
extern BOOL ecn2_add_sub(_MIPT_ ecn2 *,ecn2 *,ecn2 *,ecn2 *);
extern int ecn2_mul2_jsf(_MIPT_ big,ecn2 *,big,ecn2 *,ecn2 *);
extern int ecn2_mul(_MIPT_ big,ecn2 *);
extern void ecn2_psi(_MIPT_ zzn2 *,ecn2 *);
extern BOOL ecn2_multi_norm(_MIPT_ int ,zzn2 *,ecn2 *);
extern int ecn2_mul4_gls_v(_MIPT_ big *,int,ecn2 *,big *,ecn2 *,zzn2 *,ecn2 *);
extern int ecn2_muln_engine(_MIPT_ int,int,int,int,big *,big *,big *,big *,ecn2 *,ecn2 *,ecn2 *);
extern void ecn2_precomp_gls(_MIPT_ int,BOOL,ecn2 *,zzn2 *,ecn2 *);
extern int ecn2_mul2_gls(_MIPT_ big *,ecn2 *,zzn2 *,ecn2 *);
extern void ecn2_precomp(_MIPT_ int,BOOL,ecn2 *,ecn2 *);
extern int ecn2_mul2(_MIPT_ big,int,ecn2 *,big,ecn2 *,ecn2 *);
#ifndef MR_STATIC
extern BOOL ecn2_brick_init(_MIPT_ ebrick *,zzn2 *,zzn2 *,big,big,big,int,int);
extern void ecn2_brick_end(ebrick *);
#else
extern void ebrick_init(ebrick *,const mr_small *,big,big,big,int,int);
#endif
extern void ecn2_mul_brick_gls(_MIPT_ ebrick *B,big *,zzn2 *,zzn2 *,zzn2 *);
extern void ecn2_multn(_MIPT_ int,big *,ecn2 *,ecn2 *);
extern void ecn2_mult4(_MIPT_ big *,ecn2 *,ecn2 *);
/* Group 3 - Floating-slash routines */
#ifdef MR_FLASH
extern void fpack(_MIPT_ big,big,flash);
extern void numer(_MIPT_ flash,big);
extern void denom(_MIPT_ flash,big);
extern BOOL fit(big,big,int);
extern void build(_MIPT_ flash,int (*)(_MIPT_ big,int));
extern void mround(_MIPT_ big,big,flash);
extern void flop(_MIPT_ flash,flash,int *,flash);
extern void fmul(_MIPT_ flash,flash,flash);
extern void fdiv(_MIPT_ flash,flash,flash);
extern void fadd(_MIPT_ flash,flash,flash);
extern void fsub(_MIPT_ flash,flash,flash);
extern int fcomp(_MIPT_ flash,flash);
extern void fconv(_MIPT_ int,int,flash);
extern void frecip(_MIPT_ flash,flash);
extern void ftrunc(_MIPT_ flash,big,flash);
extern void fmodulo(_MIPT_ flash,flash,flash);
extern void fpmul(_MIPT_ flash,int,int,flash);
extern void fincr(_MIPT_ flash,int,int,flash);
extern void dconv(_MIPT_ double,flash);
extern double fdsize(_MIPT_ flash);
extern void frand(_MIPT_ flash);
/* Group 4 - Advanced Flash routines */
extern void fpower(_MIPT_ flash,int,flash);
extern BOOL froot(_MIPT_ flash,int,flash);
extern void fpi(_MIPT_ flash);
extern void fexp(_MIPT_ flash,flash);
extern void flog(_MIPT_ flash,flash);
extern void fpowf(_MIPT_ flash,flash,flash);
extern void ftan(_MIPT_ flash,flash);
extern void fatan(_MIPT_ flash,flash);
extern void fsin(_MIPT_ flash,flash);
extern void fasin(_MIPT_ flash,flash);
extern void fcos(_MIPT_ flash,flash);
extern void facos(_MIPT_ flash,flash);
extern void ftanh(_MIPT_ flash,flash);
extern void fatanh(_MIPT_ flash,flash);
extern void fsinh(_MIPT_ flash,flash);
extern void fasinh(_MIPT_ flash,flash);
extern void fcosh(_MIPT_ flash,flash);
extern void facosh(_MIPT_ flash,flash);
#endif
/* Test predefined Macros to determine compiler type, and hopefully
selectively use fast in-line assembler (or other compiler specific
optimisations. Note I am unsure of Microsoft version numbers. So I
suspect are Microsoft.
Note: It seems to be impossible to get the 16-bit Microsoft compiler
to allow inline 32-bit op-codes. So I suspect that INLINE_ASM == 2 will
never work with it. Pity.
#define INLINE_ASM 1 -> generates 8086 inline assembly
#define INLINE_ASM 2 -> generates mixed 8086 & 80386 inline assembly,
so you can get some benefit while running in a
16-bit environment on 32-bit hardware (DOS, Windows
3.1...)
#define INLINE_ASM 3 -> generate true 80386 inline assembly - (Using DOS
extender, Windows '95/Windows NT)
Actually optimised for Pentium
#define INLINE_ASM 4 -> 80386 code in the GNU style (for (DJGPP)
Small, medium, compact and large memory models are supported for the
first two of the above.
*/
/* To allow for inline assembly */
#ifdef __GNUC__
#define ASM __asm__ __volatile__
#endif
#ifdef __TURBOC__
#define ASM asm
#endif
#ifdef _MSC_VER
#define ASM _asm
#endif
#ifndef MR_NOASM
/* Win64 - inline the time critical function */
#ifndef MR_NO_INTRINSICS
#ifdef MR_WIN64
#define muldvd(a,b,c,rp) (*(rp)=_umul128((a),(b),&(tm)),*(rp)+=(c),tm+=(*(rp)<(c)),tm)
#define muldvd2(a,b,c,rp) (tr=_umul128((a),(b),&(tm)),tr+=(*(c)),tm+=(tr<(*(c))),tr+=(*(rp)),tm+=(tr<(*(rp))),*(rp)=tr,*(c)=tm)
#endif
/* Itanium - inline the time-critical functions */
#ifdef MR_ITANIUM
#define muldvd(a,b,c,rp) (tm=_m64_xmahu((a),(b),(c)),*(rp)=_m64_xmalu((a),(b),(c)),tm)
#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)
#endif
#endif
/*
SSE2 code. Works as for itanium - but in fact it is slower than the regular code so not recommended
Would require a call to emmintrin.h or xmmintrin.h, and an __m128i variable tm to be declared in effected
functions. But it works!
#define muldvd(a,b,c,rp) (tm=_mm_add_epi64(_mm_mul_epu32(_mm_cvtsi32_si128((a)),_mm_cvtsi32_si128((b))),_mm_cvtsi32_si128((c))),*(rp)=_mm_cvtsi128_si32(tm),_mm_cvtsi128_si32(_mm_shuffle_epi32(tm,_MM_SHUFFLE(3,2,0,1))) )
#define muldvd2(a,b,c,rp) (tm=_mm_add_epi64(_mm_add_epi64(_mm_mul_epu32(_mm_cvtsi32_si128((a)),_mm_cvtsi32_si128((b))),_mm_cvtsi32_si128(*(c))),_mm_cvtsi32_si128(*(rp))),*(rp)=_mm_cvtsi128_si32(tm),*(c)=_mm_cvtsi128_si32( _mm_shuffle_epi32(tm,_MM_SHUFFLE(3,2,0,1)) )
*/
/* Borland C/Turbo C */
#ifdef __TURBOC__
#ifndef __HUGE__
#if defined(__COMPACT__) || defined(__LARGE__)
#define MR_LMM
#endif
#if MIRACL==16
#define INLINE_ASM 1
#endif
#if __TURBOC__>=0x410
#if MIRACL==32
#if defined(__SMALL__) || defined(__MEDIUM__) || defined(__LARGE__) || defined(__COMPACT__)
#define INLINE_ASM 2
#else
#define INLINE_ASM 3
#endif
#endif
#endif
#endif
#endif
/* Microsoft C */
#ifdef _MSC_VER
#ifndef M_I86HM
#if defined(M_I86CM) || defined(M_I86LM)
#define MR_LMM
#endif
#if _MSC_VER>=600
#if _MSC_VER<1200
#if MIRACL==16
#define INLINE_ASM 1
#endif
#endif
#endif
#if _MSC_VER>=1000
#if _MSC_VER<1500
#if MIRACL==32
#define INLINE_ASM 3
#endif
#endif
#endif
#endif
#endif
/* DJGPP GNU C */
#ifdef __GNUC__
#ifdef i386
#if MIRACL==32
#define INLINE_ASM 4
#endif
#endif
#endif
#endif
/*
The following contribution is from Tielo Jongmans, Netherlands
These inline assembler routines are suitable for Watcom 10.0 and up
Added into miracl.h. Notice the override of the original declarations
of these routines, which should be removed.
The following pragma is optional, it is dangerous, but it saves a
calling sequence
*/
/*
#pragma off (check_stack);
extern unsigned int muldiv(unsigned int, unsigned int, unsigned int, unsigned int, unsigned int *);
#pragma aux muldiv= \
"mul edx" \
"add eax,ebx" \
"adc edx,0" \
"div ecx" \
"mov [esi],edx" \
parm [eax] [edx] [ebx] [ecx] [esi] \
value [eax] \
modify [eax edx];
extern unsigned int muldvm(unsigned int, unsigned int, unsigned int, unsigned int *);
#pragma aux muldvm= \
"div ebx" \
"mov [ecx],edx" \
parm [edx] [eax] [ebx] [ecx] \
value [eax] \
modify [eax edx];
extern unsigned int muldvd(unsigned int, unsigned int, unsigned int, unsigned int *);
#pragma aux muldvd= \
"mul edx" \
"add eax,ebx" \
"adc edx,0" \
"mov [ecx],eax" \
"mov eax,edx" \
parm [eax] [edx] [ebx] [ecx] \
value [eax] \
modify [eax edx];
*/
#endif