-
Notifications
You must be signed in to change notification settings - Fork 11
/
Copy pathMIRACL.H
executable file
·941 lines (758 loc) · 26.8 KB
/
MIRACL.H
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
#ifndef MIRACL_H
#define MIRACL_H
/*
* main MIRACL header - miracl.h.
*
* Copyright (c) 1988-2001 Shamus Software Ltd.
*/
#include "mirdef.h"
#ifdef __ia64__
#if MIRACL==64
#define MR_ITANIUM
#include <ia64intrin.h>
#endif
#endif
#ifdef MR_FP
#include <math.h>
#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
/* some useful definitions */
#define forever for(;;)
#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 - 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
#define MR_DIV(a,b) ((a)/(b))
#define MR_REMAIN(a,b) ((a)%(b))
#define MR_LROUND(a) ((a))
#endif
struct bigtype
{
mr_unsign32 len;
mr_small *w;
};
typedef struct bigtype *big;
typedef big zzn;
/* Macro to create big x on the stack - x_t and x_g must be distinct variables
By convention use like this. See brute.c and identity.c for examples
BIG(x,x_t,x_g,10)
BIG(y,y_t,y_g,10)
*/
#define BIG(x,xt,xg,s) mr_small xg[s]; struct bigtype xt={s,xg}; big x=&xt;
typedef big flash;
#define MR_MSBIT ((mr_unsign32)1<<31)
#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 */
#ifdef MR_LITTLE_ENDIAN
#define MR_TOP(x) (*(((mr_small *)&(x))+1))
#define MR_BOT(x) (*(((mr_small *)&(x))))
#endif
#ifdef MR_BIG_ENDIAN
#define MR_TOP(x) (*(((mr_small *)&(x))))
#define MR_BOT(x) (*(((mr_small *)&(x))+1))
#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
/* advanced 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_PROJECTIVE 0
#define MR_AFFINE 1
/* Elliptic Curve epoint structure. Uses projective (X,Y,Z) co-ordinates */
typedef struct {
big X;
big Y;
big Z;
int marker;
} epoint;
/* Structure for Brickell method for finite *
field exponentiation with precomputation */
typedef struct {
big *table;
big n;
int base;
int store;
} brick;
/* Structure for Brickell method for elliptic *
curve exponentiation with precomputation */
typedef struct {
epoint **table;
big a,b,n;
int base;
int store;
} ebrick;
typedef struct {
epoint **table;
big a6,a2;
int m,a,b,c;
int base;
int store;
} ebrick2;
/* 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 */
int depth; /* error tracing ..*/
int trace[MR_MAXDEPTH]; /* .. mechanism */
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
mr_unsign32 ira[NK]; /* random number... */
int rndptr; /* ...array & pointer */
mr_unsign32 borrow;
/* Montgomery constants */
mr_small ndash;
big modulus;
BOOL ACTIVE;
BOOL MONTY;
/* Elliptic Curve details */
BOOL SS; /* True for Super-Singular */
big A,B,C;
int coord,Asize,Bsize;
int M,AA,BB,CC; /* for GF(2^m) curves */
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;
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 w16,w17,w18;
/* User modifiables */
char *IOBUFF; /* i/o buffer */
int IOBSIZ; /* size of i/o buffer */
BOOL ERCON; /* error control */
int ERNUM; /* last error code */
int NTRY; /* no. of tries for probablistic primality testing */
int IOBASE; /* base for input and output */
BOOL EXACT; /* exact flag */
BOOL RPOINT; /* =ON for radix point, =OFF for fractions in output */
BOOL TRACER; /* turns trace tracker on/off */
int INPLEN; /* input length */
int *PRIMES; /* small primes array */
#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_KCM
big big_ndash;
big ws;
#endif
#ifdef MR_FP_ROUNDING
mr_large inverse_base;
#endif
int size;
char *workspace;
} miracl;
#ifndef MR_GENERIC_MT
#ifdef MR_WINDOWS_MT
#define MR_OS_THREADS
#endif
#ifdef MR_UNIX_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);
#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 mr_window(_MIPT_ big,int,int *,int *);
extern int mr_window2(_MIPT_ big,big,int,int *,int *);
extern int mr_naf_window(_MIPT_ big,big,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 *);
/* Group 1 - General purpose, I/O and basic arithmetic routines */
extern int igcd(int,int);
extern mr_small sgcd(mr_small,mr_small);
extern int isqrt(int,int);
extern void irand(_MIPT_ mr_unsign32);
extern mr_small brand(_MIPTO_ );
extern void zero(flash);
extern void convert(_MIPT_ int,big);
extern void lgconv(_MIPT_ long,big);
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(_MIPTO_ );
extern miracl *mirsys(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 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 *);
#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 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 *);
extern BOOL brick_init(_MIPT_ brick *,big,big,int);
extern void pow_brick(_MIPT_ brick *,big,big);
extern void brick_end(brick *);
extern BOOL ebrick_init(_MIPT_ ebrick *,big,big,big,big,big,int);
extern void ebrick_end(ebrick *);
extern int mul_brick(_MIPT_ ebrick*,big,big,big);
extern BOOL ebrick2_init(_MIPT_ ebrick2 *,big,big,big,big,int,int,int,int,int);
extern void ebrick2_end(ebrick2 *);
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_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 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_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 epoint* epoint_init(_MIPTO_ );
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 void add2(big,big,big);
extern void incr2(big,int,big);
extern void reduce2(_MIPT_ big,big);
extern void modmult2(_MIPT_ big,big,big);
extern void power2(_MIPT_ big,int,big);
extern void sqroot2(_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);
/* 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.
*/
#ifndef MR_NOASM
/* 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
/* Borland C/Turbo C */
#ifdef __TURBOC__
#ifndef __HUGE__
#define ASM asm
#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
#define ASM _asm
#if defined(M_I86CM) || defined(M_I86LM)
#define MR_LMM
#endif
#if _MSC_VER>=600
#if MIRACL==16
#define INLINE_ASM 1
#endif
#endif
#if _MSC_VER>=1000
#if MIRACL==32
#define INLINE_ASM 3
#endif
#endif
#endif
#endif
/* DJGPP GNU C */
#ifdef __GNUC__
#ifdef i386
#define ASM __asm__ __volatile__
#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