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miracl.h
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#ifndef MIRACL_H
#define MIRACL_H
/*
* main MIRACL header - miracl.h.
*
* Copyright (c) 1988-2007 Shamus Software Ltd.
*/
#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 256
#else
#define MR_DEFAULT_BUFFER_SIZE 1024
#endif
/* see mrgf2m.c */
#ifndef MR_KARATSUBA
#define MR_KARATSUBA 2
#endif
#ifdef MR_KCM
#ifdef MR_FLASH
#define MR_SPACES 29
#else
#define MR_SPACES 28
#endif
#else
#ifdef MR_FLASH
#define MR_SPACES 27
#else
#define MR_SPACES 26
#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)
#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)
#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)
#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
#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
/* 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 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 */
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
#define MR_HASH_BYTES 20
/* 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;
#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;
/* 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
/* 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;
/* main MIRACL instance structure */
/* ------------------------------------------------------------------------*/
typedef struct {
mr_small base; /* number base */
mr_small base_mask;
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;
#ifdef MR_KCM
big big_ndash;
big ws;
#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_BASE
#ifndef MR_SIMPLE_IO
int IOBASE; /* base for input and output */
int INPLEN; /* input length */
#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
BOOL 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;
} 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
#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_or(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 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 mr_small sgcd(mr_small,mr_small);
extern unsigned int isqrt(unsigned int,unsigned int);
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);
#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 *);
extern miracl *mirsys(_MIPT_ int,mr_small);
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,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 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_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 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 *);
#endif
extern BOOL aes_init(aes *,int,int,char *,char *);
extern void aes_getreg(aes *,char *);
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 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(_MIPT_ big,big,big);
extern void comba_square(_MIPT_ big,big);
extern void comba_redc(_MIPT_ big,big);
extern void comba_add(_MIPT_ big,big,big);
extern void comba_sub(_MIPT_ big,big,big);
extern void comba_double_add(_MIPT_ big,big,big);
extern void comba_double_sub(_MIPT_ big,big,big);
extern void comba_negate(_MIPT_ 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 ecurve_init(_MIPT_ big,big,big,int);
extern big ecurve_add(_MIPT_ epoint *,epoint *);
extern big 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 void 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 int epoint_norm(_MIPT_ 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_inv(_MIPT_ zzn2 *);
extern void zzn2_timesi(_MIPT_ zzn2 *);