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1.2 noro 1: /*
2: * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
3: * All rights reserved.
4: *
5: * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
6: * non-exclusive and royalty-free license to use, copy, modify and
7: * redistribute, solely for non-commercial and non-profit purposes, the
8: * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
9: * conditions of this Agreement. For the avoidance of doubt, you acquire
10: * only a limited right to use the SOFTWARE hereunder, and FLL or any
11: * third party developer retains all rights, including but not limited to
12: * copyrights, in and to the SOFTWARE.
13: *
14: * (1) FLL does not grant you a license in any way for commercial
15: * purposes. You may use the SOFTWARE only for non-commercial and
16: * non-profit purposes only, such as academic, research and internal
17: * business use.
18: * (2) The SOFTWARE is protected by the Copyright Law of Japan and
19: * international copyright treaties. If you make copies of the SOFTWARE,
20: * with or without modification, as permitted hereunder, you shall affix
21: * to all such copies of the SOFTWARE the above copyright notice.
22: * (3) An explicit reference to this SOFTWARE and its copyright owner
23: * shall be made on your publication or presentation in any form of the
24: * results obtained by use of the SOFTWARE.
25: * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
1.3 noro 26: * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
1.2 noro 27: * for such modification or the source code of the modified part of the
28: * SOFTWARE.
29: *
30: * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
31: * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
32: * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
33: * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
34: * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
35: * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
36: * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
37: * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
38: * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
39: * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
40: * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
41: * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
42: * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
43: * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
44: * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
45: * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
46: * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
47: *
1.5 ! noro 48: * $OpenXM: OpenXM_contrib2/asir2000/engine/up_gfpn.c,v 1.4 2003/12/24 08:00:38 noro Exp $
1.2 noro 49: */
1.1 noro 50: #include "ca.h"
51: #include <math.h>
52:
53: extern GC_dont_gc;
54: extern struct oEGT eg_chrem,eg_fore,eg_back;
55: extern int debug_up;
56: extern int up_lazy;
57:
58: void crup_lm(ModNum **,int,int *,int,N,N,UP *);
59:
60: void fft_mulup_lm(n1,n2,nr)
61: UP n1,n2;
62: UP *nr;
63: {
64: ModNum *f1,*f2,*w,*fr;
65: ModNum *frarray[1024];
66: int modarray[1024];
67: int frarray_index = 0;
68: N m,m1,m2,lm_mod;
69: int d1,d2,dmin,i,mod,root,d,cond,bound;
70: UP r;
71:
72: if ( !n1 || !n2 ) {
73: *nr = 0; return;
74: }
75: d1 = n1->d; d2 = n2->d; dmin = MIN(d1,d2);
76: if ( !d1 || !d2 ) {
77: mulup(n1,n2,nr); return;
78: }
79: getmod_lm(&lm_mod);
80: if ( !lm_mod )
81: error("fft_mulup_lm : current_mod_lm is not set");
82: m = ONEN;
83: bound = maxblenup(n1)+maxblenup(n2)+int_bits(dmin)+2;
84: f1 = (ModNum *)ALLOCA((d1+d2+1)*sizeof(ModNum));
85: f2 = (ModNum *)ALLOCA((d1+d2+1)*sizeof(ModNum));
86: w = (ModNum *)ALLOCA(6*(1<<int_bits(d1+d2+1))*sizeof(ModNum));
87: for ( i = 0; i < NPrimes; i++ ) {
88: FFT_primes(i,&mod,&root,&d);
89: if ( (1<<d) < d1+d2+1 )
90: continue;
91: modarray[frarray_index] = mod;
92: frarray[frarray_index++] = fr
93: = (ModNum *)ALLOCA((d1+d2+1)*sizeof(ModNum));
94: uptofmarray(mod,n1,f1);
95: uptofmarray(mod,n2,f2);
96: cond = FFT_pol_product(d1,f1,d2,f2,fr,i,w);
97: if ( cond )
98: error("fft_mulup : error in FFT_pol_product");
99: STON(mod,m1); muln(m,m1,&m2); m = m2;
100: if ( n_bits(m) > bound ) {
101: /* GC_dont_gc = 1; */
102: crup_lm(frarray,d1+d2,modarray,frarray_index,m,lm_mod,&r);
103: uptolmup(r,nr);
104: GC_dont_gc = 0;
105: return;
106: }
107: }
108: error("fft_mulup : FFT_primes exhausted");
109: }
110:
111: void fft_squareup_lm(n1,nr)
112: UP n1;
113: UP *nr;
114: {
115: ModNum *f1,*w,*fr;
116: ModNum *frarray[1024];
117: int modarray[1024];
118: int frarray_index = 0;
119: N m,m1,m2,lm_mod;
120: int d1,dmin,i,mod,root,d,cond,bound;
121: UP r;
122:
123: if ( !n1 ) {
124: *nr = 0; return;
125: }
126: d1 = n1->d; dmin = d1;
127: if ( !d1 ) {
128: mulup(n1,n1,nr); return;
129: }
130: getmod_lm(&lm_mod);
131: if ( !lm_mod )
132: error("fft_squareup_lm : current_mod_lm is not set");
133: m = ONEN;
134: bound = 2*maxblenup(n1)+int_bits(d1)+2;
135: f1 = (ModNum *)ALLOCA((2*d1+1)*sizeof(ModNum));
136: w = (ModNum *)ALLOCA(6*(1<<int_bits(2*d1+1))*sizeof(ModNum));
137: for ( i = 0; i < NPrimes; i++ ) {
138: FFT_primes(i,&mod,&root,&d);
139: if ( (1<<d) < 2*d1+1 )
140: continue;
141: modarray[frarray_index] = mod;
142: frarray[frarray_index++] = fr
143: = (ModNum *)ALLOCA((2*d1+1)*sizeof(ModNum));
144: uptofmarray(mod,n1,f1);
145: cond = FFT_pol_square(d1,f1,fr,i,w);
146: if ( cond )
147: error("fft_mulup : error in FFT_pol_product");
148: STON(mod,m1); muln(m,m1,&m2); m = m2;
149: if ( n_bits(m) > bound ) {
150: /* GC_dont_gc = 1; */
151: crup_lm(frarray,2*d1,modarray,frarray_index,m,lm_mod,&r);
152: uptolmup(r,nr);
153: GC_dont_gc = 0;
154: return;
155: }
156: }
157: error("fft_squareup : FFT_primes exhausted");
158: }
159:
160: void trunc_fft_mulup_lm(n1,n2,dbd,nr)
161: UP n1,n2;
162: int dbd;
163: UP *nr;
164: {
165: ModNum *f1,*f2,*fr,*w;
166: ModNum *frarray[1024];
167: int modarray[1024];
168: int frarray_index = 0;
169: N m,m1,m2,lm_mod;
170: int d1,d2,dmin,i,mod,root,d,cond,bound;
171: UP r;
172:
173: if ( !n1 || !n2 ) {
174: *nr = 0; return;
175: }
176: d1 = n1->d; d2 = n2->d; dmin = MIN(d1,d2);
177: if ( !d1 || !d2 ) {
178: tmulup(n1,n2,dbd,nr); return;
179: }
180: getmod_lm(&lm_mod);
181: if ( !lm_mod )
182: error("trunc_fft_mulup_lm : current_mod_lm is not set");
183: m = ONEN;
184: bound = maxblenup(n1)+maxblenup(n2)+int_bits(dmin)+2;
185: f1 = (ModNum *)ALLOCA((d1+d2+1)*sizeof(ModNum));
186: f2 = (ModNum *)ALLOCA((d1+d2+1)*sizeof(ModNum));
187: w = (ModNum *)ALLOCA(6*(1<<int_bits(d1+d2+1))*sizeof(ModNum));
188: for ( i = 0; i < NPrimes; i++ ) {
189: FFT_primes(i,&mod,&root,&d);
190: if ( (1<<d) < d1+d2+1 )
191: continue;
192:
193: modarray[frarray_index] = mod;
194: frarray[frarray_index++] = fr
195: = (ModNum *)ALLOCA((d1+d2+1)*sizeof(ModNum));
196: uptofmarray(mod,n1,f1);
197: uptofmarray(mod,n2,f2);
198: cond = FFT_pol_product(d1,f1,d2,f2,fr,i,w);
199: if ( cond )
200: error("fft_mulup : error in FFT_pol_product");
201: STON(mod,m1); muln(m,m1,&m2); m = m2;
202: if ( n_bits(m) > bound ) {
203: /* GC_dont_gc = 1; */
204: crup_lm(frarray,MIN(dbd-1,d1+d2),modarray,frarray_index,m,lm_mod,&r);
205: uptolmup(r,nr);
206: GC_dont_gc = 0;
207: return;
208: }
209: }
210: error("trunc_fft_mulup : FFT_primes exhausted");
211: }
212:
213: void crup_lm(f,d,mod,index,m,lm_mod,r)
214: ModNum **f;
215: int d;
216: int *mod;
217: int index;
218: N m;
219: N lm_mod;
220: UP *r;
221: {
222: double *k;
223: double c2;
224: unsigned int *w;
225: unsigned int zi,au,al;
226: UL a;
227: int i,j,l,len;
228: UP s,s1,u;
229: struct oUP c;
230: N t,ci,mi,qn;
231: unsigned int **sum;
232: unsigned int *sum_b;
233: Q q;
234: struct oEGT eg0,eg1;
235:
236: if ( !lm_mod )
237: error("crup_lm : current_mod_lm is not set");
238: k = (double *)ALLOCA((d+1)*sizeof(double));
239: for ( j = 0; j <= d; j++ )
240: k[j] = 0.5;
241: up_lazy = 1;
242: sum = (unsigned int **)ALLOCA((d+1)*sizeof(unsigned int *));
243: len = (int_bits(index)+n_bits(lm_mod)+31)/32+1;
244: w = (unsigned int *)ALLOCA((len+1)*sizeof(unsigned int));
245: sum_b = (unsigned int *)MALLOC_ATOMIC((d+1)*len*sizeof(unsigned int));
246: for ( j = 0; j <= d; j++ ) {
247: sum[j] = sum_b+len*j;
248: bzero((char *)sum[j],len*sizeof(unsigned int));
249: }
250: for ( i = 0, s = 0; i < index; i++ ) {
251: divin(m,mod[i],&ci);
252: zi = (unsigned int)invm((unsigned int)rem(ci,mod[i]),mod[i]);
253:
254: STON(zi,t); muln(ci,t,&mi);
255: divn(mi,lm_mod,&qn,&t);
256: if ( t )
257: for ( j = 0; j <= d; j++ ) {
258: bzero((char *)w,(len+1)*sizeof(unsigned int));
259: muln_1(BD(t),PL(t),(unsigned int)f[i][j],w);
260: for ( l = PL(t); l >= 0 && !w[l]; l--);
261: l++;
262: if ( l )
263: addarray_to(w,l,sum[j],len);
264: }
265: c2 = (double)zi/(double)mod[i];
266: for ( j = 0; j <= d; j++ )
267: k[j] += c2*f[i][j];
268: }
269: uiarraytoup(sum,len,d,&s);
1.5 ! noro 270: GCFREE(sum_b);
1.1 noro 271:
272: u = UPALLOC(d);
273: for ( j = 0; j <= d; j++ ) {
274: #if 1
275: a = (UL)floor(k[j]);
1.4 noro 276: #if defined(i386) || defined(__alpha) || defined(VISUAL) || defined(__x86_64)
1.1 noro 277: au = ((unsigned int *)&a)[1];
278: al = ((unsigned int *)&a)[0];
279: #else
280: al = ((unsigned int *)&a)[1];
281: au = ((unsigned int *)&a)[0];
282: #endif
283: if ( au ) {
284: NEWQ(q); SGN(q) = 1; NM(q)=NALLOC(2); DN(q)=0;
285: PL(NM(q))=2; BD(NM(q))[0]=al; BD(NM(q))[1] = au;
286: } else
287: UTOQ(al,q);
288: #else
289: al = (int)floor(k[j]); STOQ(al,q);
290: #endif
291: u->c[j] = (Num)q;
292: }
293: for ( j = d; j >= 0 && !u->c[j]; j-- );
294: if ( j < 0 )
295: u = 0;
296: else
297: u->d = j;
298: divn(m,lm_mod,&qn,&t); NTOQ(t,-1,q);
299: c.d = 0; c.c[0] = (Num)q;
300: mulup(u,&c,&s1);
301: up_lazy = 0;
302:
303: addup(s,s1,r);
304: }
305:
306: void fft_rembymulup_special_lm(n1,n2,inv2,nr)
307: UP n1,n2,inv2;
308: UP *nr;
309: {
310: int d1,d2,d;
311: UP r1,t,s,q,u;
312:
313: if ( !n2 )
314: error("rembymulup : division by 0");
315: else if ( !n1 || !n2->d )
316: *nr = 0;
317: else if ( (d1 = n1->d) < (d2 = n2->d) )
318: *nr = n1;
319: else {
320: d = d1-d2;
321: reverseup(n1,d1,&t); truncup(t,d+1,&r1);
322: trunc_fft_mulup_lm(r1,inv2,d+1,&t);
323: truncup(t,d+1,&s);
324: reverseup(s,d,&q);
325: trunc_fft_mulup_lm(q,n2,d2,&t); truncup(t,d2,&u);
326: truncup(n1,d2,&s);
327: subup(s,u,nr);
328: }
329: }
330:
331: void uptolmup(n,nr)
332: UP n;
333: UP *nr;
334: {
335: int i,d;
336: Q *c;
337: LM *cr;
338: UP r;
339:
340: if ( !n )
341: *nr = 0;
342: else {
343: d = n->d; c = (Q *)n->c;
344: *nr = r = UPALLOC(d); cr = (LM *)r->c;
345: for ( i = 0; i <= d; i++ )
346: qtolm(c[i],&cr[i]);
347: for ( i = d; i >= 0 && !cr[i]; i-- );
348: if ( i < 0 )
349: *nr = 0;
350: else
351: r->d = i;
352: }
353: }
354:
355: void hybrid_powermodup(f,xp)
356: UP f;
357: UP *xp;
358: {
359: N n;
360: UP x,y,t,invf,s;
361: int k;
362: LM lm;
363: struct oEGT eg_sq,eg_rem,eg_mul,eg_inv,eg0,eg1,eg2,eg3;
364:
365: getmod_lm(&n);
366: if ( !n )
367: error("hybrid_powermodup : current_mod_lm is not set");
368: MKLM(ONEN,lm);
369: x = UPALLOC(1); x->d = 1; x->c[1] = (Num)lm;
370: y = UPALLOC(0); y->d = 0; y->c[0] = (Num)lm;
371:
372: reverseup(f,f->d,&t);
373: invmodup(t,f->d,&invf);
374: for ( k = n_bits(n)-1; k >= 0; k-- ) {
375: hybrid_squareup(FF_GFP,y,&t);
376: hybrid_rembymulup_special(FF_GFP,t,f,invf,&s);
377: y = s;
378: if ( n->b[k/32] & (1<<(k%32)) ) {
379: mulup(y,x,&t);
380: remup(t,f,&s);
381: y = s;
382: }
383: }
384: *xp = y;
385: }
386:
387: void powermodup(f,xp)
388: UP f;
389: UP *xp;
390: {
391: N n;
392: UP x,y,t,invf,s;
393: int k;
394: LM lm;
395: struct oEGT eg_sq,eg_rem,eg_mul,eg_inv,eg0,eg1,eg2,eg3;
396:
397: getmod_lm(&n);
398: if ( !n )
399: error("powermodup : current_mod_lm is not set");
400: MKLM(ONEN,lm);
401: x = UPALLOC(1); x->d = 1; x->c[1] = (Num)lm;
402: y = UPALLOC(0); y->d = 0; y->c[0] = (Num)lm;
403:
404: reverseup(f,f->d,&t);
405: invmodup(t,f->d,&invf);
406: for ( k = n_bits(n)-1; k >= 0; k-- ) {
407: ksquareup(y,&t);
408: rembymulup_special(t,f,invf,&s);
409: y = s;
410: if ( n->b[k/32] & (1<<(k%32)) ) {
411: mulup(y,x,&t);
412: remup(t,f,&s);
413: y = s;
414: }
415: }
416: *xp = y;
417: }
418:
419: /* g^d mod f */
420:
421: void hybrid_generic_powermodup(g,f,d,xp)
422: UP g,f;
423: Q d;
424: UP *xp;
425: {
426: N e;
427: UP x,y,t,invf,s;
428: int k;
429: LM lm;
430: struct oEGT eg_sq,eg_rem,eg_mul,eg_inv,eg0,eg1,eg2,eg3;
431:
432: e = NM(d);
433: MKLM(ONEN,lm);
434: y = UPALLOC(0); y->d = 0; y->c[0] = (Num)lm;
435: remup(g,f,&x);
436: if ( !x ) {
437: *xp = !d ? y : 0;
438: return;
439: } else if ( !x->d ) {
440: pwrup(x,d,xp);
441: return;
442: }
443: reverseup(f,f->d,&t);
444: invmodup(t,f->d,&invf);
445: for ( k = n_bits(e)-1; k >= 0; k-- ) {
446: hybrid_squareup(FF_GFP,y,&t);
447: hybrid_rembymulup_special(FF_GFP,t,f,invf,&s);
448: y = s;
449: if ( e->b[k/32] & (1<<(k%32)) ) {
450: mulup(y,x,&t);
451: remup(t,f,&s);
452: y = s;
453: }
454: }
455: *xp = y;
456: }
457:
458: void generic_powermodup(g,f,d,xp)
459: UP g,f;
460: Q d;
461: UP *xp;
462: {
463: N e;
464: UP x,y,t,invf,s;
465: int k;
466: LM lm;
467: struct oEGT eg_sq,eg_rem,eg_mul,eg_inv,eg0,eg1,eg2,eg3;
468:
469: e = NM(d);
470: MKLM(ONEN,lm);
471: y = UPALLOC(0); y->d = 0; y->c[0] = (Num)lm;
472: remup(g,f,&x);
473: if ( !x ) {
474: *xp = !d ? y : 0;
475: return;
476: } else if ( !x->d ) {
477: pwrup(x,d,xp);
478: return;
479: }
480: reverseup(f,f->d,&t);
481: invmodup(t,f->d,&invf);
482: for ( k = n_bits(e)-1; k >= 0; k-- ) {
483: ksquareup(y,&t);
484: rembymulup_special(t,f,invf,&s);
485: y = s;
486: if ( e->b[k/32] & (1<<(k%32)) ) {
487: mulup(y,x,&t);
488: remup(t,f,&s);
489: y = s;
490: }
491: }
492: *xp = y;
493: }
494:
495: void hybrid_powertabup(f,xp,tab)
496: UP f;
497: UP xp;
498: UP *tab;
499: {
500: UP y,t,invf;
501: int i,d;
502: LM lm;
503: struct oEGT eg_rem,eg_mul,eg0,eg1,eg2;
504:
505: d = f->d;
506: MKLM(ONEN,lm);
507: y = UPALLOC(0); y->d = 0; y->c[0] = (Num)lm;
508: tab[0] = y;
509: tab[1] = xp;
510:
511: reverseup(f,f->d,&t);
512: invmodup(t,f->d,&invf);
513:
514: for ( i = 2; i < d; i++ ) {
515: if ( debug_up )
516: fprintf(stderr,".");
517: hybrid_mulup(FF_GFP,tab[i-1],xp,&t);
518: hybrid_rembymulup_special(FF_GFP,t,f,invf,&tab[i]);
519: }
520: }
521:
522: void powertabup(f,xp,tab)
523: UP f;
524: UP xp;
525: UP *tab;
526: {
527: UP y,t,invf;
528: int i,d;
529: LM lm;
530: struct oEGT eg_rem,eg_mul,eg0,eg1,eg2;
531:
532: d = f->d;
533: MKLM(ONEN,lm);
534: y = UPALLOC(0); y->d = 0; y->c[0] = (Num)lm;
535: tab[0] = y;
536: tab[1] = xp;
537:
538: reverseup(f,f->d,&t);
539: invmodup(t,f->d,&invf);
540:
541: for ( i = 2; i < d; i++ ) {
542: if ( debug_up )
543: fprintf(stderr,".");
544: kmulup(tab[i-1],xp,&t);
545: rembymulup_special(t,f,invf,&tab[i]);
546: }
547: }