Line data Source code
1 : /* Copyright (C) 2000-2010 The PARI group.
2 :
3 : This file is part of the PARI/GP package.
4 :
5 : PARI/GP is free software; you can redistribute it and/or modify it under the
6 : terms of the GNU General Public License as published by the Free Software
7 : Foundation. It is distributed in the hope that it will be useful, but WITHOUT
8 : ANY WARRANTY WHATSOEVER.
9 :
10 : Check the License for details. You should have received a copy of it, along
11 : with the package; see the file 'COPYING'. If not, write to the Free Software
12 : Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. */
13 :
14 : /*********************************************************************/
15 : /* MALLOC/FREE WRAPPERS */
16 : /*********************************************************************/
17 : #define BLOCK_SIGALRM_START \
18 : { \
19 : int block=PARI_SIGINT_block; \
20 : PARI_SIGINT_block = 2; \
21 : MT_SIGINT_BLOCK(block);
22 :
23 : #define BLOCK_SIGINT_START \
24 : { \
25 : int block=PARI_SIGINT_block; \
26 : PARI_SIGINT_block = 1; \
27 : MT_SIGINT_BLOCK(block);
28 :
29 : #define BLOCK_SIGINT_END \
30 : PARI_SIGINT_block = block; \
31 : MT_SIGINT_UNBLOCK(block); \
32 : if (!block && PARI_SIGINT_pending) \
33 : { \
34 : int sig = PARI_SIGINT_pending; \
35 : PARI_SIGINT_pending = 0; \
36 : raise(sig); \
37 : } \
38 : }
39 :
40 : /*******************************************************************/
41 : /* */
42 : /* CONSTRUCTORS */
43 : /* */
44 : /*******************************************************************/
45 : #define retmkfrac(x,y)\
46 : do { GEN _v = cgetg(3, t_FRAC);\
47 : gel(_v,1) = (x);\
48 : gel(_v,2) = (y); return _v; } while(0)
49 : #define retmkrfrac(x,y)\
50 : do { GEN _v = cgetg(3, t_RFRAC);\
51 : gel(_v,1) = (x);\
52 : gel(_v,2) = (y); return _v; } while(0)
53 : #define retmkintmod(x,y)\
54 : do { GEN _v = cgetg(3, t_INTMOD);\
55 : gel(_v,1) = (y);\
56 : gel(_v,2) = (x); return _v; } while(0)
57 : #define retmkcomplex(x,y)\
58 : do { GEN _v = cgetg(3, t_COMPLEX);\
59 : gel(_v,1) = (x);\
60 : gel(_v,2) = (y); return _v; } while(0)
61 : #define retmkpolmod(x,y)\
62 : do { GEN _v = cgetg(3, t_POLMOD);\
63 : gel(_v,1) = (y);\
64 : gel(_v,2) = (x); return _v; } while(0)
65 : #define retmkvec(x)\
66 : do { GEN _v = cgetg(2, t_VEC);\
67 : gel(_v,1) = (x); return _v; } while(0)
68 : #define retmkvec2(x,y)\
69 : do { GEN _v = cgetg(3, t_VEC);\
70 : gel(_v,1) = (x);\
71 : gel(_v,2) = (y); return _v; } while(0)
72 : #define retmkvec3(x,y,z)\
73 : do { GEN _v = cgetg(4, t_VEC);\
74 : gel(_v,1) = (x);\
75 : gel(_v,2) = (y);\
76 : gel(_v,3) = (z); return _v; } while(0)
77 : #define retmkqfi(x,y,z)\
78 : do { GEN _v = cgetg(4, t_QFI);\
79 : gel(_v,1) = (x);\
80 : gel(_v,2) = (y);\
81 : gel(_v,3) = (z); return _v; } while(0)
82 : #define retmkqfr(x,y,z,d)\
83 : do { GEN _v = cgetg(5, t_QFR);\
84 : gel(_v,1) = (x);\
85 : gel(_v,2) = (y);\
86 : gel(_v,3) = (z);\
87 : gel(_v,4) = (d); return _v; } while(0)
88 : #define retmkquad(x,y,z)\
89 : do { GEN _v = cgetg(4, t_QUAD);\
90 : gel(_v,1) = (x);\
91 : gel(_v,2) = (y);\
92 : gel(_v,3) = (z); return _v; } while(0)
93 : #define retmkvec4(x,y,z,t)\
94 : do { GEN _v = cgetg(5, t_VEC);\
95 : gel(_v,1) = (x);\
96 : gel(_v,2) = (y);\
97 : gel(_v,3) = (z);\
98 : gel(_v,4) = (t); return _v; } while(0)
99 : #define retmkvec5(x,y,z,t,u)\
100 : do { GEN _v = cgetg(6, t_VEC);\
101 : gel(_v,1) = (x);\
102 : gel(_v,2) = (y);\
103 : gel(_v,3) = (z);\
104 : gel(_v,4) = (t);\
105 : gel(_v,5) = (u); return _v; } while(0)
106 : #define retmkcol(x)\
107 : do { GEN _v = cgetg(2, t_COL);\
108 : gel(_v,1) = (x); return _v; } while(0)
109 : #define retmkcol2(x,y)\
110 : do { GEN _v = cgetg(3, t_COL);\
111 : gel(_v,1) = (x);\
112 : gel(_v,2) = (y); return _v; } while(0)
113 : #define retmkcol3(x,y,z)\
114 : do { GEN _v = cgetg(4, t_COL);\
115 : gel(_v,1) = (x);\
116 : gel(_v,2) = (y);\
117 : gel(_v,3) = (z); return _v; } while(0)
118 : #define retmkcol4(x,y,z,t)\
119 : do { GEN _v = cgetg(5, t_COL);\
120 : gel(_v,1) = (x);\
121 : gel(_v,2) = (y);\
122 : gel(_v,3) = (z);\
123 : gel(_v,4) = (t); return _v; } while(0)
124 : #define retmkcol5(x,y,z,t,u)\
125 : do { GEN _v = cgetg(6, t_COL);\
126 : gel(_v,1) = (x);\
127 : gel(_v,2) = (y);\
128 : gel(_v,3) = (z);\
129 : gel(_v,4) = (t);\
130 : gel(_v,5) = (u); return _v; } while(0)
131 : #define retmkcol6(x,y,z,t,u,v)\
132 : do { GEN _v = cgetg(7, t_COL);\
133 : gel(_v,1) = (x);\
134 : gel(_v,2) = (y);\
135 : gel(_v,3) = (z);\
136 : gel(_v,4) = (t);\
137 : gel(_v,5) = (u);\
138 : gel(_v,6) = (v); return _v; } while(0)
139 : #define retmkmat(x)\
140 : do { GEN _v = cgetg(2, t_MAT);\
141 : gel(_v,1) = (x); return _v; } while(0)
142 : #define retmkmat2(x,y)\
143 : do { GEN _v = cgetg(3, t_MAT);\
144 : gel(_v,1) = (x);\
145 : gel(_v,2) = (y); return _v; } while(0)
146 : #define retmkmat3(x,y,z)\
147 : do { GEN _v = cgetg(4, t_MAT);\
148 : gel(_v,1) = (x);\
149 : gel(_v,2) = (y);\
150 : gel(_v,3) = (z); return _v; } while(0)
151 : #define retmkmat4(x,y,z,t)\
152 : do { GEN _v = cgetg(5, t_MAT);\
153 : gel(_v,1) = (x);\
154 : gel(_v,2) = (y);\
155 : gel(_v,3) = (z);\
156 : gel(_v,4) = (t); return _v; } while(0)
157 : #define retmkmat5(x,y,z,t,u)\
158 : do { GEN _v = cgetg(6, t_MAT);\
159 : gel(_v,1) = (x);\
160 : gel(_v,2) = (y);\
161 : gel(_v,3) = (z);\
162 : gel(_v,4) = (t);\
163 : gel(_v,5) = (u); return _v; } while(0)
164 :
165 : INLINE GEN
166 3087257 : mkintmod(GEN x, GEN y) { retmkintmod(x,y); }
167 : INLINE GEN
168 1666 : mkintmodu(ulong x, ulong y) {
169 1666 : GEN v = cgetg(3,t_INTMOD);
170 1666 : gel(v,1) = utoipos(y);
171 1666 : gel(v,2) = utoi(x); return v;
172 : }
173 : INLINE GEN
174 3392049 : mkpolmod(GEN x, GEN y) { retmkpolmod(x,y); }
175 : INLINE GEN
176 28576074 : mkfrac(GEN x, GEN y) { retmkfrac(x,y); }
177 : INLINE GEN
178 32676 : mkfracss(long x, long y) { retmkfrac(stoi(x),utoipos(y)); }
179 : /* q = n/d a t_FRAC or t_INT; recover (n,d) */
180 : INLINE void
181 14119 : Qtoss(GEN q, long *n, long *d)
182 : {
183 14119 : if (typ(q) == t_INT) { *n = itos(q); *d = 1; }
184 2891 : else { *n = itos(gel(q,1)); *d = itou(gel(q,2)); }
185 14119 : }
186 : INLINE GEN
187 68194235 : sstoQ(long n, long d)
188 : {
189 : ulong r;
190 : long g, q;
191 68194235 : if (!n)
192 : {
193 100464 : if (!d) pari_err_INV("sstoQ",gen_0);
194 100464 : return gen_0;
195 : }
196 68093771 : if (d < 0) { d = -d; n = -n; }
197 68093771 : if (d == 1) return stoi(n);
198 68081416 : q = udivuu_rem(labs(n),d,&r);
199 68081416 : if (!r) return n > 0? utoipos(q): utoineg(q);
200 3582793 : g = ugcd(d,r); /* gcd(n,d) */
201 3582793 : if (g != 1) { n /= g; d /= g; }
202 3582793 : retmkfrac(stoi(n), utoi(d));
203 : }
204 :
205 : INLINE GEN
206 2375845 : mkfraccopy(GEN x, GEN y) { retmkfrac(icopy(x), icopy(y)); }
207 : INLINE GEN
208 1554 : mkrfrac(GEN x, GEN y) { GEN v = cgetg(3, t_RFRAC);
209 1554 : gel(v,1) = x; gel(v,2) = y; return v; }
210 : INLINE GEN
211 7 : mkrfraccopy(GEN x, GEN y) { GEN v = cgetg(3, t_RFRAC);
212 7 : gel(v,1) = gcopy(x); gel(v,2) = gcopy(y); return v; }
213 : INLINE GEN
214 21205511 : mkcomplex(GEN x, GEN y) { retmkcomplex(x,y); }
215 : INLINE GEN
216 457352 : gen_I(void) { return mkcomplex(gen_0, gen_1); }
217 : INLINE GEN
218 283361 : cgetc(long l) { retmkcomplex(cgetr(l), cgetr(l)); }
219 : INLINE GEN
220 105 : mkquad(GEN n, GEN x, GEN y) { GEN v = cgetg(4, t_QUAD);
221 105 : gel(v,1) = n; gel(v,2) = x; gel(v,3) = y; return v; }
222 : /* vecsmall */
223 : INLINE GEN
224 69598650 : mkvecsmall(long x) { GEN v = cgetg(2, t_VECSMALL); v[1] = x; return v; }
225 : INLINE GEN
226 115812612 : mkvecsmall2(long x,long y) { GEN v = cgetg(3, t_VECSMALL);
227 115804696 : v[1]=x; v[2]=y; return v; }
228 : INLINE GEN
229 57927737 : mkvecsmall3(long x,long y,long z) { GEN v = cgetg(4, t_VECSMALL);
230 57921465 : v[1]=x; v[2]=y; v[3]=z; return v; }
231 : INLINE GEN
232 11984640 : mkvecsmall4(long x,long y,long z,long t) { GEN v = cgetg(5, t_VECSMALL);
233 11966912 : v[1]=x; v[2]=y; v[3]=z; v[4]=t; return v; }
234 : INLINE GEN
235 469860 : mkvecsmall5(long x,long y,long z,long t,long u) { GEN v = cgetg(6, t_VECSMALL);
236 469857 : v[1]=x; v[2]=y; v[3]=z; v[4]=t; v[5]=u; return v; }
237 :
238 : INLINE GEN
239 158116 : mkqfi(GEN x, GEN y, GEN z) { retmkqfi(x,y,z); }
240 : /* vec */
241 : INLINE GEN
242 32603387 : mkvec(GEN x) { retmkvec(x); }
243 : INLINE GEN
244 109383865 : mkvec2(GEN x, GEN y) { retmkvec2(x,y); }
245 : INLINE GEN
246 67490469 : mkvec3(GEN x, GEN y, GEN z) { retmkvec3(x,y,z); }
247 : INLINE GEN
248 7356949 : mkvec4(GEN x, GEN y, GEN z, GEN t) { retmkvec4(x,y,z,t); }
249 : INLINE GEN
250 12207020 : mkvec5(GEN x, GEN y, GEN z, GEN t, GEN u) { retmkvec5(x,y,z,t,u); }
251 : INLINE GEN
252 105 : mkvecs(long x) { retmkvec(stoi(x)); }
253 : INLINE GEN
254 26041 : mkvec2s(long x, long y) { retmkvec2(stoi(x),stoi(y)); }
255 : INLINE GEN
256 492752 : mkvec3s(long x, long y, long z) { retmkvec3(stoi(x),stoi(y),stoi(z)); }
257 : INLINE GEN
258 21 : mkvec4s(long x, long y, long z, long t) { retmkvec4(stoi(x),stoi(y),stoi(z),stoi(t)); }
259 : INLINE GEN
260 35756 : mkveccopy(GEN x) { GEN v = cgetg(2, t_VEC); gel(v,1) = gcopy(x); return v; }
261 : INLINE GEN
262 85056 : mkvec2copy(GEN x, GEN y) {
263 85056 : GEN v = cgetg(3,t_VEC); gel(v,1) = gcopy(x); gel(v,2) = gcopy(y); return v; }
264 : /* col */
265 : INLINE GEN
266 3024983 : mkcol(GEN x) { retmkcol(x); }
267 : INLINE GEN
268 36410723 : mkcol2(GEN x, GEN y) { retmkcol2(x,y); }
269 : INLINE GEN
270 42707 : mkcol3(GEN x, GEN y, GEN z) { retmkcol3(x,y,z); }
271 : INLINE GEN
272 0 : mkcol4(GEN x, GEN y, GEN z, GEN t) { retmkcol4(x,y,z,t); }
273 : INLINE GEN
274 106 : mkcol5(GEN x, GEN y, GEN z, GEN t, GEN u) { retmkcol5(x,y,z,t,u); }
275 : INLINE GEN
276 9586 : mkcol6(GEN x, GEN y, GEN z, GEN t, GEN u, GEN v) { retmkcol6(x,y,z,t,u,v); }
277 : INLINE GEN
278 273 : mkcols(long x) { retmkcol(stoi(x)); }
279 : INLINE GEN
280 2760800 : mkcol2s(long x, long y) { retmkcol2(stoi(x),stoi(y)); }
281 : INLINE GEN
282 0 : mkcol3s(long x, long y, long z) { retmkcol3(stoi(x),stoi(y),stoi(z)); }
283 : INLINE GEN
284 0 : mkcol4s(long x, long y, long z, long t) { retmkcol4(stoi(x),stoi(y),stoi(z),stoi(t)); }
285 : INLINE GEN
286 23865 : mkcolcopy(GEN x) { GEN v = cgetg(2, t_COL); gel(v,1) = gcopy(x); return v; }
287 : /* mat */
288 : INLINE GEN
289 2514414 : mkmat(GEN x) { retmkmat(x); }
290 : INLINE GEN
291 32853581 : mkmat2(GEN x, GEN y) { retmkmat2(x,y); }
292 : INLINE GEN
293 2329 : mkmat3(GEN x, GEN y, GEN z) { retmkmat3(x,y,z); }
294 : INLINE GEN
295 0 : mkmat4(GEN x, GEN y, GEN z, GEN t) { retmkmat4(x,y,z,t); }
296 : INLINE GEN
297 0 : mkmat5(GEN x, GEN y, GEN z, GEN t, GEN u) { retmkmat5(x,y,z,t,u); }
298 : INLINE GEN
299 25764 : mkmatcopy(GEN x) { GEN v = cgetg(2, t_MAT); gel(v,1) = gcopy(x); return v; }
300 : INLINE GEN
301 0 : mkerr(long x) { GEN v = cgetg(2, t_ERROR); v[1] = x; return v; }
302 : INLINE GEN
303 89699 : mkoo(void) { GEN v = cgetg(2, t_INFINITY); gel(v,1) = gen_1; return v; }
304 : INLINE GEN
305 17871 : mkmoo(void) { GEN v = cgetg(2, t_INFINITY); gel(v,1) = gen_m1; return v; }
306 : INLINE long
307 119751 : inf_get_sign(GEN x) { return signe(gel(x,1)); }
308 : INLINE GEN
309 12432 : mkmat22s(long a, long b, long c, long d) {retmkmat2(mkcol2s(a,c),mkcol2s(b,d));}
310 : INLINE GEN
311 4623550 : mkmat22(GEN a, GEN b, GEN c, GEN d) { retmkmat2(mkcol2(a,c),mkcol2(b,d)); }
312 :
313 : /* pol */
314 : INLINE GEN
315 1013594 : pol_x(long v) {
316 1013594 : GEN p = cgetg(4, t_POL);
317 1013595 : p[1] = evalsigne(1)|evalvarn(v);
318 1013595 : gel(p,2) = gen_0;
319 1013595 : gel(p,3) = gen_1; return p;
320 : }
321 : /* x^n, assume n >= 0 */
322 : INLINE GEN
323 1700420 : pol_xn(long n, long v) {
324 1700420 : long i, a = n+2;
325 1700420 : GEN p = cgetg(a+1, t_POL);
326 1700420 : p[1] = evalsigne(1)|evalvarn(v);
327 4335213 : for (i = 2; i < a; i++) gel(p,i) = gen_0;
328 1700420 : gel(p,a) = gen_1; return p;
329 : }
330 : /* x^n, no assumption on n */
331 : INLINE GEN
332 287 : pol_xnall(long n, long v)
333 : {
334 287 : if (n < 0) retmkrfrac(gen_1, pol_xn(-n,v));
335 280 : return pol_xn(n, v);
336 : }
337 : /* x^n, assume n >= 0 */
338 : INLINE GEN
339 210 : polxn_Flx(long n, long sv) {
340 210 : long i, a = n+2;
341 210 : GEN p = cgetg(a+1, t_VECSMALL);
342 210 : p[1] = sv;
343 1022 : for (i = 2; i < a; i++) p[i] = 0;
344 210 : p[a] = 1; return p;
345 : }
346 : INLINE GEN
347 1840069 : pol_1(long v) {
348 1840069 : GEN p = cgetg(3, t_POL);
349 1840067 : p[1] = evalsigne(1)|evalvarn(v);
350 1840067 : gel(p,2) = gen_1; return p;
351 : }
352 : INLINE GEN
353 30307193 : pol_0(long v)
354 : {
355 30307193 : GEN x = cgetg(2,t_POL);
356 30307185 : x[1] = evalvarn(v); return x;
357 : }
358 : #define retconst_vec(n,x)\
359 : do { long _i, _n = (n);\
360 : GEN _v = cgetg(_n+1, t_VEC), _x = (x);\
361 : for (_i = 1; _i <= _n; _i++) gel(_v,_i) = _x;\
362 : return _v; } while(0)
363 : INLINE GEN
364 131084646 : const_vec(long n, GEN x) { retconst_vec(n, x); }
365 : #define retconst_col(n,x)\
366 : do { long _i, _n = (n);\
367 : GEN _v = cgetg(_n+1, t_COL), _x = (x);\
368 : for (_i = 1; _i <= _n; _i++) gel(_v,_i) = _x;\
369 : return _v; } while(0)
370 : INLINE GEN
371 35749795 : const_col(long n, GEN x) { retconst_col(n, x); }
372 : INLINE GEN
373 10952918 : const_vecsmall(long n, long c)
374 : {
375 : long i;
376 10952918 : GEN V = cgetg(n+1,t_VECSMALL);
377 366965815 : for(i=1;i<=n;i++) V[i] = c;
378 10952899 : return V;
379 : }
380 :
381 : /*** ZERO ***/
382 : /* O(p^e) */
383 : INLINE GEN
384 362811 : zeropadic(GEN p, long e)
385 : {
386 362811 : GEN y = cgetg(5,t_PADIC);
387 362811 : gel(y,4) = gen_0;
388 362811 : gel(y,3) = gen_1;
389 362811 : gel(y,2) = icopy(p);
390 362811 : y[1] = evalvalp(e) | _evalprecp(0);
391 362811 : return y;
392 : }
393 : INLINE GEN
394 966 : zeropadic_shallow(GEN p, long e)
395 : {
396 966 : GEN y = cgetg(5,t_PADIC);
397 966 : gel(y,4) = gen_0;
398 966 : gel(y,3) = gen_1;
399 966 : gel(y,2) = p;
400 966 : y[1] = evalvalp(e) | _evalprecp(0);
401 966 : return y;
402 : }
403 : /* O(pol_x(v)^e) */
404 : INLINE GEN
405 136234 : zeroser(long v, long e)
406 : {
407 136234 : GEN x = cgetg(2, t_SER);
408 136234 : x[1] = evalvalp(e) | evalvarn(v); return x;
409 : }
410 : INLINE int
411 6147703 : ser_isexactzero(GEN x)
412 : {
413 6147703 : if (!signe(x)) switch(lg(x))
414 : {
415 131075 : case 2: return 1;
416 1267 : case 3: return isexactzero(gel(x,2));
417 : }
418 6015361 : return 0;
419 : }
420 : /* 0 * pol_x(v) */
421 : INLINE GEN
422 14216377 : zeropol(long v) { return pol_0(v); }
423 : /* vector(n) */
424 : INLINE GEN
425 41007441 : zerocol(long n)
426 : {
427 41007441 : GEN y = cgetg(n+1,t_COL);
428 294879395 : long i; for (i=1; i<=n; i++) gel(y,i) = gen_0;
429 41007635 : return y;
430 : }
431 : /* vectorv(n) */
432 : INLINE GEN
433 19644992 : zerovec(long n)
434 : {
435 19644992 : GEN y = cgetg(n+1,t_VEC);
436 146268331 : long i; for (i=1; i<=n; i++) gel(y,i) = gen_0;
437 19644992 : return y;
438 : }
439 : /* matrix(m, n) */
440 : INLINE GEN
441 25773 : zeromat(long m, long n)
442 : {
443 25773 : GEN y = cgetg(n+1,t_MAT);
444 25773 : GEN v = zerocol(m);
445 95845 : long i; for (i=1; i<=n; i++) gel(y,i) = v;
446 25773 : return y;
447 : }
448 : /* = zero_zx, sv is a evalvarn()*/
449 : INLINE GEN
450 948283 : zero_Flx(long sv) { return pol0_Flx(sv); }
451 : INLINE GEN
452 34134547 : zero_Flv(long n)
453 : {
454 34134547 : GEN y = cgetg(n+1,t_VECSMALL);
455 626644255 : long i; for (i=1; i<=n; i++) y[i] = 0;
456 34135495 : return y;
457 : }
458 : /* matrix(m, n) */
459 : INLINE GEN
460 1116373 : zero_Flm(long m, long n)
461 : {
462 1116373 : GEN y = cgetg(n+1,t_MAT);
463 1116366 : GEN v = zero_Flv(m);
464 7716879 : long i; for (i=1; i<=n; i++) gel(y,i) = v;
465 1116363 : return y;
466 : }
467 : /* matrix(m, n) */
468 : INLINE GEN
469 113228 : zero_Flm_copy(long m, long n)
470 : {
471 113228 : GEN y = cgetg(n+1,t_MAT);
472 1650772 : long i; for (i=1; i<=n; i++) gel(y,i) = zero_Flv(m);
473 113222 : return y;
474 : }
475 :
476 : INLINE GEN
477 855347 : zero_F2v(long m)
478 : {
479 855347 : long l = nbits2nlong(m);
480 855347 : GEN v = zero_Flv(l+1);
481 855347 : v[1] = m;
482 855347 : return v;
483 : }
484 :
485 : INLINE GEN
486 0 : zero_F2m(long m, long n)
487 : {
488 : long i;
489 0 : GEN M = cgetg(n+1, t_MAT);
490 0 : GEN v = zero_F2v(m);
491 0 : for (i = 1; i <= n; i++)
492 0 : gel(M,i) = v;
493 0 : return M;
494 : }
495 :
496 :
497 : INLINE GEN
498 304237 : zero_F2m_copy(long m, long n)
499 : {
500 : long i;
501 304237 : GEN M = cgetg(n+1, t_MAT);
502 797767 : for (i = 1; i <= n; i++)
503 493530 : gel(M,i)= zero_F2v(m);
504 304237 : return M;
505 : }
506 :
507 : /* matrix(m, n) */
508 : INLINE GEN
509 5473988 : zeromatcopy(long m, long n)
510 : {
511 5473988 : GEN y = cgetg(n+1,t_MAT);
512 21889811 : long i; for (i=1; i<=n; i++) gel(y,i) = zerocol(m);
513 5473988 : return y;
514 : }
515 :
516 : INLINE GEN
517 17640 : zerovec_block(long len)
518 : {
519 : long i;
520 17640 : GEN blk = cgetg_block(len + 1, t_VEC);
521 582120 : for (i = 1; i <= len; ++i)
522 564480 : gel(blk, i) = gen_0;
523 17640 : return blk;
524 : }
525 :
526 : /* i-th vector in the standard basis */
527 : INLINE GEN
528 1333250 : col_ei(long n, long i) { GEN e = zerocol(n); gel(e,i) = gen_1; return e; }
529 : INLINE GEN
530 363534 : vec_ei(long n, long i) { GEN e = zerovec(n); gel(e,i) = gen_1; return e; }
531 : INLINE GEN
532 42 : F2v_ei(long n, long i) { GEN e = zero_F2v(n); F2v_set(e,i); return e; }
533 : INLINE GEN
534 27542 : vecsmall_ei(long n, long i) { GEN e = zero_zv(n); e[i] = 1; return e; }
535 : INLINE GEN
536 479236 : Rg_col_ei(GEN x, long n, long i) { GEN e = zerocol(n); gel(e,i) = x; return e; }
537 :
538 : INLINE GEN
539 13055215 : shallowcopy(GEN x)
540 13055215 : { return typ(x) == t_MAT ? RgM_shallowcopy(x): leafcopy(x); }
541 :
542 : /* routines for naive growarrays */
543 : INLINE GEN
544 12381007 : vectrunc_init(long l)
545 : {
546 12381007 : GEN z = new_chunk(l);
547 12380822 : z[0] = evaltyp(t_VEC) | _evallg(1); return z;
548 : }
549 : INLINE GEN
550 347564 : coltrunc_init(long l)
551 : {
552 347564 : GEN z = new_chunk(l);
553 347564 : z[0] = evaltyp(t_COL) | _evallg(1); return z;
554 : }
555 : INLINE void
556 266859205 : lg_increase(GEN x) { x[0]++; }
557 : INLINE void
558 51326061 : vectrunc_append(GEN x, GEN t) { gel(x, lg(x)) = t; lg_increase(x); }
559 : INLINE void
560 10416 : vectrunc_append_batch(GEN x, GEN y)
561 : {
562 10416 : long i, l = lg(x), ly = lg(y);
563 10416 : GEN z = x + l-1;
564 34482 : for (i = 1; i < ly; i++) gel(z,i) = gel(y,i);
565 10416 : setlg(x, l+ly-1);
566 10416 : }
567 : INLINE GEN
568 88206019 : vecsmalltrunc_init(long l)
569 : {
570 88206019 : GEN z = new_chunk(l);
571 88206019 : z[0] = evaltyp(t_VECSMALL) | _evallg(1); return z;
572 : }
573 : INLINE void
574 33719145 : vecsmalltrunc_append(GEN x, long t) { x[ lg(x) ] = t; lg_increase(x); }
575 :
576 : /*******************************************************************/
577 : /* */
578 : /* STRING HASH FUNCTIONS */
579 : /* */
580 : /*******************************************************************/
581 : INLINE ulong
582 2138932 : hash_str(const char *str)
583 : {
584 2138932 : ulong hash = 5381UL, c;
585 21426563 : while ( (c = (ulong)*str++) )
586 19287631 : hash = ((hash << 5) + hash) + c; /* hash * 33 + c */
587 2138932 : return hash;
588 : }
589 : INLINE ulong
590 9962507 : hash_str_len(const char *str, long len)
591 : {
592 9962507 : ulong hash = 5381UL;
593 : long i;
594 75262715 : for (i = 0; i < len; i++)
595 : {
596 65300208 : ulong c = (ulong)*str++;
597 65300208 : hash = ((hash << 5) + hash) + c; /* hash * 33 + c */
598 : }
599 9962507 : return hash;
600 : }
601 :
602 : /*******************************************************************/
603 : /* */
604 : /* VEC / COL / VECSMALL */
605 : /* */
606 : /*******************************************************************/
607 : /* shallow*/
608 : INLINE GEN
609 0 : vec_shorten(GEN v, long n)
610 : {
611 : long i;
612 0 : GEN V = cgetg(n+1,t_VEC);
613 0 : for(i=1;i<=n;i++) gel(V,i) = gel(v,i);
614 0 : return V;
615 : }
616 : /* shallow*/
617 : INLINE GEN
618 13724 : vec_lengthen(GEN v, long n)
619 : {
620 : long i;
621 13724 : long l=lg(v);
622 13724 : GEN V = cgetg(n+1,t_VEC);
623 441486 : for(i=1;i<l;i++) gel(V,i) = gel(v,i);
624 13724 : return V;
625 : }
626 : /* shallow*/
627 : INLINE GEN
628 95955 : vec_append(GEN V, GEN s)
629 : {
630 95955 : long i, l2 = lg(V);
631 95955 : GEN res = cgetg(l2+1, typ(V));
632 860080 : for (i = 1; i < l2; ++i) gel(res, i) = gel(V,i);
633 95955 : gel(res,l2) = s; return res;
634 : }
635 : /* shallow*/
636 : INLINE GEN
637 40694 : vec_prepend(GEN v, GEN s)
638 : {
639 40694 : long i, l = lg(v);
640 40694 : GEN w = cgetg(l+1, typ(v));
641 40694 : gel(w,1) = s;
642 77285 : for (i = 2; i <= l; ++i) gel(w,i) = gel(v,i-1);
643 40694 : return w;
644 : }
645 : /* shallow*/
646 : INLINE GEN
647 0 : vec_setconst(GEN v, GEN x)
648 : {
649 0 : long i, l = lg(v);
650 0 : for (i = 1; i < l; i++) gel(v,i) = x;
651 0 : return v;
652 : }
653 : INLINE GEN
654 42753 : vecsmall_shorten(GEN v, long n)
655 : {
656 : long i;
657 42753 : GEN V = cgetg(n+1,t_VECSMALL);
658 568260 : for(i=1;i<=n;i++) V[i] = v[i];
659 42751 : return V;
660 : }
661 : INLINE GEN
662 0 : vecsmall_lengthen(GEN v, long n)
663 : {
664 0 : long i, l = lg(v);
665 0 : GEN V = cgetg(n+1,t_VECSMALL);
666 0 : for(i=1;i<l;i++) V[i] = v[i];
667 0 : return V;
668 : }
669 :
670 : INLINE GEN
671 3331462 : vec_to_vecsmall(GEN x)
672 16219399 : { pari_APPLY_long(itos(gel(x,i))) }
673 : INLINE GEN
674 142709 : vecsmall_to_vec(GEN x)
675 2537173 : { pari_APPLY_type(t_VEC, stoi(x[i])) }
676 : INLINE GEN
677 2387 : vecsmall_to_vec_inplace(GEN z)
678 : {
679 2387 : long i, l = lg(z);
680 70399 : for (i=1; i<l; i++) gel(z,i) = stoi(z[i]);
681 2387 : settyp(z, t_VEC); return z;
682 : }
683 : INLINE GEN
684 5338818 : vecsmall_to_col(GEN x)
685 52643902 : { pari_APPLY_type(t_COL, stoi(x[i])) }
686 :
687 : INLINE int
688 6148433 : vecsmall_lexcmp(GEN x, GEN y)
689 : {
690 : long lx,ly,l,i;
691 6148433 : lx = lg(x);
692 6148433 : ly = lg(y); l = minss(lx,ly);
693 32009135 : for (i=1; i<l; i++)
694 30333058 : if (x[i] != y[i]) return x[i]<y[i]? -1: 1;
695 1676077 : if (lx == ly) return 0;
696 30577 : return (lx < ly)? -1 : 1;
697 : }
698 :
699 : INLINE int
700 85249612 : vecsmall_prefixcmp(GEN x, GEN y)
701 : {
702 85249612 : long i, lx = lg(x), ly = lg(y), l = minss(lx,ly);
703 394179177 : for (i=1; i<l; i++)
704 374535735 : if (x[i] != y[i]) return x[i]<y[i]? -1: 1;
705 19643442 : return 0;
706 : }
707 :
708 : /*Can be used on t_VEC, but coeffs not gcopy-ed*/
709 : INLINE GEN
710 22323 : vecsmall_prepend(GEN V, long s)
711 : {
712 22323 : long i, l2 = lg(V);
713 22323 : GEN res = cgetg(l2+1, typ(V));
714 22323 : res[1] = s;
715 70875 : for (i = 2; i <= l2; ++i) res[i] = V[i - 1];
716 22323 : return res;
717 : }
718 :
719 : INLINE GEN
720 2956699 : vecsmall_append(GEN V, long s)
721 : {
722 2956699 : long i, l2 = lg(V);
723 2956699 : GEN res = cgetg(l2+1, t_VECSMALL);
724 4417798 : for (i = 1; i < l2; ++i) res[i] = V[i];
725 2956699 : res[l2] = s; return res;
726 : }
727 :
728 : INLINE GEN
729 823125 : vecsmall_concat(GEN u, GEN v)
730 : {
731 823125 : long i, l1 = lg(u)-1, l2 = lg(v)-1;
732 823125 : GEN res = cgetg(l1+l2+1, t_VECSMALL);
733 6243716 : for (i = 1; i <= l1; ++i) res[i] = u[i];
734 7007144 : for (i = 1; i <= l2; ++i) res[i+l1] = v[i];
735 823125 : return res;
736 : }
737 :
738 : /* return the number of indices where u and v are equal */
739 : INLINE long
740 0 : vecsmall_coincidence(GEN u, GEN v)
741 : {
742 0 : long i, s = 0, l = minss(lg(u),lg(v));
743 0 : for(i=1; i<l; i++)
744 0 : if(u[i] == v[i]) s++;
745 0 : return s;
746 : }
747 :
748 : /* returns the first index i<=n such that x=v[i] if it exists, 0 otherwise */
749 : INLINE long
750 0 : vecsmall_isin(GEN v, long x)
751 : {
752 0 : long i, l = lg(v);
753 0 : for (i = 1; i < l; i++)
754 0 : if (v[i] == x) return i;
755 0 : return 0;
756 : }
757 :
758 : INLINE long
759 84 : vecsmall_pack(GEN V, long base, long mod)
760 : {
761 84 : long i, s = 0;
762 273 : for(i=1; i<lg(V); i++) s = (base*s + V[i]) % mod;
763 84 : return s;
764 : }
765 :
766 : INLINE long
767 14 : vecsmall_indexmax(GEN x)
768 : {
769 14 : long i, i0 = 1, t = x[1], lx = lg(x);
770 56 : for (i=2; i<lx; i++)
771 42 : if (x[i] > t) t = x[i0=i];
772 14 : return i0;
773 : }
774 :
775 : INLINE long
776 375265 : vecsmall_max(GEN x)
777 : {
778 375265 : long i, t = x[1], lx = lg(x);
779 963765 : for (i=2; i<lx; i++)
780 588500 : if (x[i] > t) t = x[i];
781 375265 : return t;
782 : }
783 :
784 : INLINE long
785 14 : vecsmall_indexmin(GEN x)
786 : {
787 14 : long i, i0 = 1, t = x[1], lx =lg(x);
788 56 : for (i=2; i<lx; i++)
789 42 : if (x[i] < t) t = x[i0=i];
790 14 : return i0;
791 : }
792 :
793 : INLINE long
794 1421 : vecsmall_min(GEN x)
795 : {
796 1421 : long i, t = x[1], lx =lg(x);
797 9947 : for (i=2; i<lx; i++)
798 8526 : if (x[i] < t) t = x[i];
799 1421 : return t;
800 : }
801 :
802 : INLINE int
803 5305934 : ZV_isscalar(GEN x)
804 : {
805 5305934 : long l = lg(x);
806 11285490 : while (--l > 1)
807 9958473 : if (signe(gel(x, l))) return 0;
808 1327017 : return 1;
809 : }
810 : INLINE int
811 24180783 : QV_isscalar(GEN x)
812 : {
813 24180783 : long lx = lg(x),i;
814 26668509 : for (i=2; i<lx; i++)
815 25892763 : if (!isintzero(gel(x, i))) return 0;
816 775746 : return 1;
817 : }
818 : INLINE int
819 4314 : RgV_isscalar(GEN x)
820 : {
821 4314 : long lx = lg(x),i;
822 4461 : for (i=2; i<lx; i++)
823 4454 : if (!gequal0(gel(x, i))) return 0;
824 7 : return 1;
825 : }
826 : INLINE int
827 0 : RgX_isscalar(GEN x)
828 : {
829 : long i;
830 0 : for (i=lg(x)-1; i>2; i--)
831 0 : if (!gequal0(gel(x, i))) return 0;
832 0 : return 1;
833 : }
834 : INLINE long
835 24805489 : RgX_equal_var(GEN x, GEN y) { return varn(x) == varn(y) && RgX_equal(x,y); }
836 :
837 : INLINE int
838 9492 : RgX_is_rational(GEN x)
839 : {
840 : long i;
841 51483 : for (i = lg(x)-1; i > 1; i--)
842 47584 : if (!is_rational_t(typ(gel(x,i)))) return 0;
843 3899 : return 1;
844 : }
845 : INLINE int
846 5208430 : RgX_is_ZX(GEN x)
847 : {
848 : long i;
849 26005050 : for (i = lg(x)-1; i > 1; i--)
850 20849148 : if (typ(gel(x,i)) != t_INT) return 0;
851 5155902 : return 1;
852 : }
853 : INLINE int
854 256690 : RgX_is_QX(GEN x)
855 : {
856 256690 : long k = lg(x)-1;
857 949133 : for ( ; k>1; k--)
858 692723 : if (!is_rational_t(typ(gel(x,k)))) return 0;
859 256410 : return 1;
860 : }
861 : INLINE int
862 2338977 : RgX_is_monomial(GEN x)
863 : {
864 : long i;
865 2338977 : if (!signe(x)) return 0;
866 5846503 : for (i=lg(x)-2; i>1; i--)
867 3557040 : if (!isexactzero(gel(x,i))) return 0;
868 2289463 : return 1;
869 : }
870 : INLINE int
871 27695216 : RgV_is_ZV(GEN x)
872 : {
873 : long i;
874 113242043 : for (i = lg(x)-1; i > 0; i--)
875 85550131 : if (typ(gel(x,i)) != t_INT) return 0;
876 27691912 : return 1;
877 : }
878 : INLINE int
879 24038 : RgV_is_QV(GEN x)
880 : {
881 : long i;
882 108969 : for (i = lg(x)-1; i > 0; i--)
883 86625 : if (!is_rational_t(typ(gel(x,i)))) return 0;
884 22344 : return 1;
885 : }
886 : INLINE long
887 24241 : RgV_isin_i(GEN v, GEN x, long n)
888 : {
889 : long i;
890 513345 : for (i = 1; i <= n; i++)
891 513086 : if (gequal(gel(v,i), x)) return i;
892 259 : return 0;
893 : }
894 : INLINE long
895 24241 : RgV_isin(GEN v, GEN x) { return RgV_isin_i(v, x, lg(v)-1); }
896 :
897 : /********************************************************************/
898 : /** **/
899 : /** Dynamic arrays implementation **/
900 : /** **/
901 : /********************************************************************/
902 : INLINE void **
903 470214851 : pari_stack_base(pari_stack *s) { return s->data; }
904 :
905 : INLINE void
906 2741986 : pari_stack_init(pari_stack *s, size_t size, void **data)
907 : {
908 2741986 : s->data = data;
909 2741986 : *data = NULL;
910 2741986 : s->n = 0;
911 2741986 : s->alloc = 0;
912 2741986 : s->size = size;
913 2741986 : }
914 :
915 : INLINE void
916 467694197 : pari_stack_alloc(pari_stack *s, long nb)
917 : {
918 467694197 : void **sdat = pari_stack_base(s);
919 467606118 : long alloc = s->alloc;
920 467606118 : if (s->n+nb <= alloc) return;
921 1043935 : if (!alloc)
922 978399 : alloc = nb;
923 : else
924 : {
925 133973 : while (s->n+nb > alloc) alloc <<= 1;
926 : }
927 1043935 : pari_realloc_ip(sdat,alloc*s->size);
928 1050377 : s->alloc = alloc;
929 : }
930 :
931 : INLINE long
932 384711771 : pari_stack_new(pari_stack *s) { pari_stack_alloc(s, 1); return s->n++; }
933 :
934 : INLINE void
935 2554507 : pari_stack_delete(pari_stack *s)
936 : {
937 2554507 : void **sdat = pari_stack_base(s);
938 2550711 : if (*sdat) pari_free(*sdat);
939 2565279 : }
940 :
941 : INLINE void
942 5060 : pari_stack_pushp(pari_stack *s, void *u)
943 : {
944 5060 : long n = pari_stack_new(s);
945 5060 : void **sdat =(void**) *pari_stack_base(s);
946 5060 : sdat[n] = u;
947 5060 : }
948 :
949 : /*******************************************************************/
950 : /* */
951 : /* EXTRACT */
952 : /* */
953 : /*******************************************************************/
954 : INLINE GEN
955 353653782 : vecslice(GEN A, long y1, long y2)
956 : {
957 353653782 : long i,lB = y2 - y1 + 2;
958 353653782 : GEN B = cgetg(lB, typ(A));
959 1639996938 : for (i=1; i<lB; i++) B[i] = A[y1-1+i];
960 353645909 : return B;
961 : }
962 : INLINE GEN
963 994112 : vecslicepermute(GEN A, GEN p, long y1, long y2)
964 : {
965 994112 : long i,lB = y2 - y1 + 2;
966 994112 : GEN B = cgetg(lB, typ(A));
967 17691018 : for (i=1; i<lB; i++) B[i] = A[p[y1-1+i]];
968 994111 : return B;
969 : }
970 : /* rowslice(rowpermute(A,p), x1, x2) */
971 : INLINE GEN
972 45740 : rowslicepermute(GEN x, GEN p, long j1, long j2)
973 214292 : { pari_APPLY_same(vecslicepermute(gel(x,i),p,j1,j2)) }
974 :
975 : INLINE GEN
976 30031707 : rowslice(GEN x, long j1, long j2)
977 359947295 : { pari_APPLY_same(vecslice(gel(x,i), j1, j2)) }
978 :
979 : INLINE GEN
980 5125973 : matslice(GEN A, long x1, long x2, long y1, long y2)
981 5125973 : { return rowslice(vecslice(A, y1, y2), x1, x2); }
982 :
983 : /* shallow, remove coeff of index j */
984 : INLINE GEN
985 4368 : rowsplice(GEN x, long j)
986 11452 : { pari_APPLY_same(vecsplice(gel(x,i), j)) }
987 :
988 : /* shallow, remove coeff of index j */
989 : INLINE GEN
990 274844 : vecsplice(GEN a, long j)
991 : {
992 274844 : long i, k, l = lg(a);
993 : GEN b;
994 274844 : if (l == 1) pari_err(e_MISC, "incorrect component in vecsplice");
995 274844 : b = cgetg(l-1, typ(a));
996 1273934 : for (i = k = 1; i < l; i++)
997 999090 : if (i != j) gel(b, k++) = gel(a,i);
998 274844 : return b;
999 : }
1000 : /* shallow */
1001 : INLINE GEN
1002 1036 : RgM_minor(GEN a, long i, long j)
1003 : {
1004 1036 : GEN b = vecsplice(a, j);
1005 1036 : long k, l = lg(b);
1006 4242 : for (k = 1; k < l; k++) gel(b,k) = vecsplice(gel(b,k), i);
1007 1036 : return b;
1008 : }
1009 :
1010 : /* A[x0,] */
1011 : INLINE GEN
1012 390085 : row(GEN x, long j)
1013 4018513 : { pari_APPLY_type(t_VEC, gcoeff(x, j, i)) }
1014 : INLINE GEN
1015 4174031 : Flm_row(GEN x, long j)
1016 105098804 : { pari_APPLY_ulong((ulong)coeff(x, j, i)) }
1017 : /* A[x0,] */
1018 : INLINE GEN
1019 204834 : rowcopy(GEN x, long j)
1020 2097809 : { pari_APPLY_type(t_VEC, gcopy(gcoeff(x, j, i))) }
1021 : /* A[x0, x1..x2] */
1022 : INLINE GEN
1023 973 : row_i(GEN A, long x0, long x1, long x2)
1024 : {
1025 973 : long i, lB = x2 - x1 + 2;
1026 973 : GEN B = cgetg(lB, t_VEC);
1027 2947 : for (i=x1; i<=x2; i++) gel(B, i) = gcoeff(A, x0, i);
1028 973 : return B;
1029 : }
1030 :
1031 : INLINE GEN
1032 5971743 : vecreverse(GEN A)
1033 : {
1034 : long i, l;
1035 5971743 : GEN B = cgetg_copy(A, &l);
1036 14497634 : for (i=1; i<l; i++) gel(B, i) = gel(A, l-i);
1037 5971743 : return B;
1038 : }
1039 :
1040 : INLINE GEN
1041 679 : vecsmall_reverse(GEN A)
1042 : {
1043 : long i, l;
1044 679 : GEN B = cgetg_copy(A, &l);
1045 2233 : for (i=1; i<l; i++) B[i] = A[l-i];
1046 679 : return B;
1047 : }
1048 :
1049 : INLINE void
1050 428 : vecreverse_inplace(GEN y)
1051 : {
1052 428 : long l = lg(y), lim = l>>1, i;
1053 1606 : for (i = 1; i <= lim; i++)
1054 : {
1055 1178 : GEN z = gel(y,i);
1056 1178 : gel(y,i) = gel(y,l-i);
1057 1178 : gel(y,l-i) = z;
1058 : }
1059 428 : }
1060 :
1061 : INLINE GEN
1062 35270802 : vecsmallpermute(GEN A, GEN p) { return perm_mul(A, p); }
1063 :
1064 : INLINE GEN
1065 6907785 : vecpermute(GEN A, GEN x)
1066 80577273 : { pari_APPLY_type(typ(A), gel(A, x[i])) }
1067 :
1068 : INLINE GEN
1069 3481618 : rowpermute(GEN x, GEN p)
1070 38419720 : { pari_APPLY_same(typ(gel(x,i)) == t_VECSMALL ? vecsmallpermute(gel(x, i), p)
1071 : : vecpermute(gel(x, i), p))
1072 : }
1073 : /*******************************************************************/
1074 : /* */
1075 : /* PERMUTATIONS */
1076 : /* */
1077 : /*******************************************************************/
1078 : INLINE GEN
1079 825072 : identity_zv(long n)
1080 : {
1081 825072 : GEN v = cgetg(n+1, t_VECSMALL);
1082 : long i;
1083 13718227 : for (i = 1; i <= n; i++) v[i] = i;
1084 825064 : return v;
1085 : }
1086 : INLINE GEN
1087 3591 : identity_ZV(long n)
1088 : {
1089 3591 : GEN v = cgetg(n+1, t_VEC);
1090 : long i;
1091 44688 : for (i = 1; i <= n; i++) gel(v,i) = utoipos(i);
1092 3591 : return v;
1093 : }
1094 : /* identity permutation */
1095 : INLINE GEN
1096 824539 : identity_perm(long n) { return identity_zv(n); }
1097 :
1098 : /* assume d <= n */
1099 : INLINE GEN
1100 98483 : cyclic_perm(long n, long d)
1101 : {
1102 98483 : GEN perm = cgetg(n+1, t_VECSMALL);
1103 : long i;
1104 504098 : for (i = 1; i <= n-d; i++) perm[i] = i+d;
1105 225029 : for ( ; i <= n; i++) perm[i] = i-n+d;
1106 98483 : return perm;
1107 : }
1108 :
1109 : /* Multiply (compose) two permutations */
1110 : INLINE GEN
1111 36142977 : perm_mul(GEN s, GEN x)
1112 494255391 : { pari_APPLY_long(s[x[i]]) }
1113 :
1114 : /* Compute the inverse (reciprocal) of a permutation. */
1115 : INLINE GEN
1116 1222224 : perm_inv(GEN x)
1117 : {
1118 : long i, lx;
1119 1222224 : GEN y = cgetg_copy(x, &lx);
1120 16789762 : for (i=1; i<lx; i++) y[ x[i] ] = i;
1121 1222224 : return y;
1122 : }
1123 : /* Return s*t*s^-1 */
1124 : INLINE GEN
1125 417109 : perm_conj(GEN s, GEN t)
1126 : {
1127 : long i, l;
1128 417109 : GEN v = cgetg_copy(s, &l);
1129 6836291 : for (i = 1; i < l; i++) v[ s[i] ] = s[ t[i] ];
1130 417109 : return v;
1131 : }
1132 :
1133 : INLINE void
1134 294599868 : pari_free(void *pointer)
1135 : {
1136 294599868 : BLOCK_SIGINT_START;
1137 294617440 : free(pointer);
1138 294617440 : BLOCK_SIGINT_END;
1139 294620882 : }
1140 : INLINE void*
1141 505131536 : pari_malloc(size_t size)
1142 : {
1143 505131536 : if (size)
1144 : {
1145 : char *tmp;
1146 505131545 : BLOCK_SIGINT_START;
1147 505132158 : tmp = (char*)malloc(size);
1148 505132158 : BLOCK_SIGINT_END;
1149 505130815 : if (!tmp) pari_err(e_MEM);
1150 505134426 : return tmp;
1151 : }
1152 0 : return NULL;
1153 : }
1154 : INLINE void*
1155 1633 : pari_realloc(void *pointer, size_t size)
1156 : {
1157 : char *tmp;
1158 :
1159 1633 : BLOCK_SIGINT_START;
1160 1633 : if (!pointer) tmp = (char *) malloc(size);
1161 1633 : else tmp = (char *) realloc(pointer,size);
1162 1633 : BLOCK_SIGINT_END;
1163 1633 : if (!tmp) pari_err(e_MEM);
1164 1633 : return tmp;
1165 : }
1166 : INLINE void
1167 1059565 : pari_realloc_ip(void **pointer, size_t size)
1168 : {
1169 : char *tmp;
1170 1059565 : BLOCK_SIGINT_START;
1171 1058559 : if (!*pointer) tmp = (char *) malloc(size);
1172 69706 : else tmp = (char *) realloc(*pointer,size);
1173 1058559 : if (!tmp) pari_err(e_MEM);
1174 1058559 : *pointer = tmp;
1175 1058559 : BLOCK_SIGINT_END;
1176 1055361 : }
1177 :
1178 : INLINE void*
1179 39286 : pari_calloc(size_t size)
1180 : {
1181 39286 : void *t = pari_malloc(size);
1182 39286 : memset(t, 0, size); return t;
1183 : }
1184 : INLINE GEN
1185 7070 : cgetalloc(long t, size_t l)
1186 : { /* evallg may raise e_OVERFLOW, which would leak x */
1187 7070 : ulong x0 = evaltyp(t) | evallg(l);
1188 7070 : GEN x = (GEN)pari_malloc(l * sizeof(long));
1189 7070 : x[0] = x0; return x;
1190 : }
1191 :
1192 : /*******************************************************************/
1193 : /* */
1194 : /* GARBAGE COLLECTION */
1195 : /* */
1196 : /*******************************************************************/
1197 : /* copy integer x as if we had set_avma(av) */
1198 : INLINE GEN
1199 4644134104 : icopy_avma(GEN x, pari_sp av)
1200 : {
1201 4644134104 : long i = lgefint(x), lx = i;
1202 4644134104 : GEN y = ((GEN)av) - i;
1203 24663180198 : while (--i > 0) y[i] = x[i];
1204 4644134104 : y[0] = evaltyp(t_INT)|evallg(lx);
1205 4646919395 : return y;
1206 : }
1207 : /* copy leaf x as if we had set_avma(av) */
1208 : INLINE GEN
1209 212543088 : leafcopy_avma(GEN x, pari_sp av)
1210 : {
1211 212543088 : long i = lg(x);
1212 212543088 : GEN y = ((GEN)av) - i;
1213 1607878843 : while (--i > 0) y[i] = x[i];
1214 212543088 : y[0] = x[0] & (~CLONEBIT);
1215 212543088 : return y;
1216 : }
1217 : INLINE GEN
1218 602483063 : gerepileuptoleaf(pari_sp av, GEN x)
1219 : {
1220 : long lx;
1221 : GEN q;
1222 :
1223 602483063 : if (!isonstack(x) || (GEN)av<=x) return gc_const(av,x);
1224 602245954 : lx = lg(x);
1225 602245954 : q = ((GEN)av) - lx;
1226 602245954 : set_avma((pari_sp)q);
1227 6558981863 : while (--lx >= 0) q[lx] = x[lx];
1228 602097773 : return q;
1229 : }
1230 : INLINE GEN
1231 1767419763 : gerepileuptoint(pari_sp av, GEN x)
1232 : {
1233 1767419763 : if (!isonstack(x) || (GEN)av<=x) return gc_const(av,x);
1234 1551277554 : set_avma((pari_sp)icopy_avma(x, av));
1235 1553352977 : return (GEN)avma;
1236 : }
1237 : INLINE GEN
1238 801815080 : gerepileupto(pari_sp av, GEN x)
1239 : {
1240 801815080 : if (!isonstack(x) || (GEN)av<=x) return gc_const(av,x);
1241 716596333 : switch(typ(x))
1242 : { /* non-default = !is_recursive_t(tq) */
1243 217884938 : case t_INT: return gerepileuptoint(av, x);
1244 138275058 : case t_REAL:
1245 : case t_STR:
1246 138275058 : case t_VECSMALL: return gerepileuptoleaf(av,x);
1247 360436337 : default:
1248 : /* NB: x+i --> ((long)x) + i*sizeof(long) */
1249 360436337 : return gerepile(av, (pari_sp) (x+lg(x)), x);
1250 : }
1251 : }
1252 :
1253 : /* gerepileupto(av, gcopy(x)) */
1254 : INLINE GEN
1255 72031482 : gerepilecopy(pari_sp av, GEN x)
1256 : {
1257 72031482 : if (is_recursive_t(typ(x)))
1258 : {
1259 67443782 : GENbin *p = copy_bin(x);
1260 67444833 : set_avma(av); return bin_copy(p);
1261 : }
1262 : else
1263 : {
1264 4587812 : set_avma(av);
1265 4587819 : if (x < (GEN)av) {
1266 3092296 : if (x < (GEN)pari_mainstack->bot) new_chunk(lg(x));
1267 3092296 : x = leafcopy_avma(x, av);
1268 3092302 : set_avma((pari_sp)x);
1269 : } else
1270 1495523 : x = leafcopy(x);
1271 4587828 : return x;
1272 : }
1273 : }
1274 :
1275 : INLINE void
1276 24485311 : guncloneNULL(GEN x) { if (x) gunclone(x); }
1277 : INLINE void
1278 193493 : guncloneNULL_deep(GEN x) { if (x) gunclone_deep(x); }
1279 :
1280 : /* Takes an array of pointers to GENs, of length n. Copies all
1281 : * objects to contiguous locations and cleans up the stack between
1282 : * av and avma. */
1283 : INLINE void
1284 193502 : gerepilemany(pari_sp av, GEN* gptr[], int n)
1285 : {
1286 : int i;
1287 767569 : for (i=0; i<n; i++) *gptr[i] = (GEN)copy_bin(*gptr[i]);
1288 193502 : set_avma(av);
1289 767569 : for (i=0; i<n; i++) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1290 193502 : }
1291 :
1292 : INLINE void
1293 92717239 : gerepileall(pari_sp av, int n, ...)
1294 : {
1295 : int i;
1296 92717239 : va_list a; va_start(a, n);
1297 92717239 : if (n < 10)
1298 : {
1299 : GEN *gptr[10];
1300 302675892 : for (i=0; i<n; i++)
1301 209958485 : { gptr[i] = va_arg(a,GEN*); *gptr[i] = (GEN)copy_bin(*gptr[i]); }
1302 92717407 : set_avma(av);
1303 302676150 : for (--i; i>=0; i--) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1304 :
1305 : }
1306 : else
1307 : {
1308 2 : GEN **gptr = (GEN**) pari_malloc(n*sizeof(GEN*));
1309 0 : for (i=0; i<n; i++)
1310 0 : { gptr[i] = va_arg(a,GEN*); *gptr[i] = (GEN)copy_bin(*gptr[i]); }
1311 0 : set_avma(av);
1312 0 : for (--i; i>=0; i--) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1313 0 : pari_free(gptr);
1314 : }
1315 92717569 : va_end(a);
1316 92717569 : }
1317 :
1318 : INLINE void
1319 625680 : gerepilecoeffs(pari_sp av, GEN x, int n)
1320 : {
1321 : int i;
1322 8162028 : for (i=0; i<n; i++) gel(x,i) = (GEN)copy_bin(gel(x,i));
1323 625680 : set_avma(av);
1324 8162028 : for (i=0; i<n; i++) gel(x,i) = bin_copy((GENbin*)x[i]);
1325 625680 : }
1326 :
1327 : /* p from copy_bin. Copy p->x back to stack, then destroy p */
1328 : INLINE GEN
1329 285548622 : bin_copy(GENbin *p)
1330 : {
1331 : GEN x, y, base;
1332 : long dx, len;
1333 :
1334 285548622 : x = p->x; if (!x) { pari_free(p); return gen_0; }
1335 263285992 : len = p->len;
1336 263285992 : base= p->base; dx = x - base;
1337 263285992 : y = (GEN)memcpy((void*)new_chunk(len), (void*)GENbinbase(p), len*sizeof(long));
1338 263285646 : y += dx;
1339 263285646 : p->rebase(y, ((ulong)y-(ulong)x));
1340 263285879 : pari_free(p); return y;
1341 : }
1342 :
1343 : INLINE GEN
1344 548834913 : GENbinbase(GENbin *p) { return (GEN)(p + 1); }
1345 :
1346 : INLINE void
1347 81331888 : cgiv(GEN x)
1348 : {
1349 81331888 : pari_sp av = (pari_sp)(x+lg(x));
1350 81331888 : if (isonstack((GEN)av)) set_avma(av);
1351 81330934 : }
1352 :
1353 : INLINE void
1354 6552348 : killblock(GEN x) { gunclone(x); }
1355 :
1356 : INLINE int
1357 240100341 : is_universal_constant(GEN x) { return (x >= gen_0 && x <= ghalf); }
1358 :
1359 : /*******************************************************************/
1360 : /* */
1361 : /* CONVERSION / ASSIGNMENT */
1362 : /* */
1363 : /*******************************************************************/
1364 : /* z is a type which may be a t_COMPLEX component (not a t_QUAD) */
1365 : INLINE GEN
1366 4171809 : cxcompotor(GEN z, long prec)
1367 : {
1368 4171809 : switch(typ(z))
1369 : {
1370 2466515 : case t_INT: return itor(z, prec);
1371 136689 : case t_FRAC: return fractor(z, prec);
1372 1568605 : case t_REAL: return rtor(z, prec);
1373 0 : default: pari_err_TYPE("cxcompotor",z);
1374 : return NULL; /* LCOV_EXCL_LINE */
1375 : }
1376 : }
1377 : INLINE GEN
1378 2073008 : cxtofp(GEN x, long prec)
1379 2073008 : { retmkcomplex(cxcompotor(gel(x,1),prec), cxcompotor(gel(x,2),prec)); }
1380 :
1381 : INLINE GEN
1382 273403 : cxtoreal(GEN q)
1383 273403 : { return (typ(q) == t_COMPLEX && gequal0(gel(q,2)))? gel(q,1): q; }
1384 :
1385 : INLINE double
1386 31548937 : gtodouble(GEN x)
1387 : {
1388 31548937 : if (typ(x)!=t_REAL) {
1389 5743780 : pari_sp av = avma;
1390 5743780 : x = gtofp(x, DEFAULTPREC);
1391 5743173 : if (typ(x)!=t_REAL) pari_err_TYPE("gtodouble [t_REAL expected]", x);
1392 5743173 : set_avma(av);
1393 : }
1394 31548246 : return rtodbl(x);
1395 : }
1396 : INLINE long
1397 73470098 : gtos(GEN x) {
1398 73470098 : if (typ(x) != t_INT) pari_err_TYPE("gtos [integer expected]",x);
1399 73470091 : return itos(x);
1400 : }
1401 :
1402 : INLINE ulong
1403 88591 : gtou(GEN x) {
1404 88591 : if (typ(x) != t_INT || signe(x)<0)
1405 0 : pari_err_TYPE("gtou [integer >=0 expected]",x);
1406 88591 : return itou(x);
1407 : }
1408 :
1409 : INLINE GEN
1410 37933895 : absfrac(GEN x)
1411 : {
1412 37933895 : GEN y = cgetg(3, t_FRAC);
1413 37933895 : gel(y,1) = absi(gel(x,1));
1414 37933895 : gel(y,2) = icopy(gel(x,2)); return y;
1415 : }
1416 : INLINE GEN
1417 38059 : absfrac_shallow(GEN x)
1418 38059 : { return signe(gel(x,1))>0? x: mkfrac(negi(gel(x,1)), gel(x,2)); }
1419 : INLINE GEN
1420 10554785 : Q_abs(GEN x) { return (typ(x) == t_INT)? absi(x): absfrac(x); }
1421 : INLINE GEN
1422 139489 : Q_abs_shallow(GEN x)
1423 139489 : { return (typ(x) == t_INT)? absi_shallow(x): absfrac_shallow(x); }
1424 : INLINE GEN
1425 12712 : R_abs_shallow(GEN x)
1426 12712 : { return (typ(x) == t_FRAC)? absfrac_shallow(x): mpabs_shallow(x); }
1427 : INLINE GEN
1428 0 : R_abs(GEN x)
1429 0 : { return (typ(x) == t_FRAC)? absfrac(x): mpabs(x); }
1430 :
1431 : /* Force z to be of type real/complex with floating point components */
1432 : INLINE GEN
1433 36545217 : gtofp(GEN z, long prec)
1434 : {
1435 36545217 : switch(typ(z))
1436 : {
1437 22484078 : case t_INT: return itor(z, prec);
1438 4066233 : case t_FRAC: return fractor(z, prec);
1439 8169027 : case t_REAL: return rtor(z, prec);
1440 1827635 : case t_COMPLEX: {
1441 1827635 : GEN a = gel(z,1), b = gel(z,2);
1442 1827635 : if (isintzero(b)) return cxcompotor(a, prec);
1443 1827635 : if (isintzero(a)) {
1444 3501 : GEN y = cgetg(3, t_COMPLEX);
1445 3501 : b = cxcompotor(b, prec);
1446 3501 : gel(y,1) = real_0_bit(expo(b) - prec2nbits(prec));
1447 3501 : gel(y,2) = b; return y;
1448 : }
1449 1824134 : return cxtofp(z, prec);
1450 : }
1451 0 : case t_QUAD: return quadtofp(z, prec);
1452 0 : default: pari_err_TYPE("gtofp",z);
1453 : return NULL; /* LCOV_EXCL_LINE */
1454 : }
1455 : }
1456 : /* Force z to be of type real / int */
1457 : INLINE GEN
1458 22428 : gtomp(GEN z, long prec)
1459 : {
1460 22428 : switch(typ(z))
1461 : {
1462 42 : case t_INT: return z;
1463 22386 : case t_FRAC: return fractor(z, prec);
1464 0 : case t_REAL: return rtor(z, prec);
1465 0 : case t_QUAD: z = quadtofp(z, prec);
1466 0 : if (typ(z) == t_REAL) return z;
1467 0 : default: pari_err_TYPE("gtomp",z);
1468 : return NULL; /* LCOV_EXCL_LINE */
1469 : }
1470 : }
1471 :
1472 : INLINE GEN
1473 985707 : RgX_gtofp(GEN x, long prec)
1474 : {
1475 : long l;
1476 985707 : GEN y = cgetg_copy(x, &l);
1477 6008159 : while (--l > 1) gel(y,l) = gtofp(gel(x,l), prec);
1478 985707 : y[1] = x[1]; return y;
1479 : }
1480 : INLINE GEN
1481 1277917 : RgC_gtofp(GEN x, long prec)
1482 15216182 : { pari_APPLY_type(t_COL, gtofp(gel(x,i), prec)) }
1483 :
1484 : INLINE GEN
1485 12215 : RgV_gtofp(GEN x, long prec)
1486 37555 : { pari_APPLY_type(t_VEC, gtofp(gel(x,i), prec)) }
1487 :
1488 : INLINE GEN
1489 142642 : RgM_gtofp(GEN x, long prec)
1490 1175330 : { pari_APPLY_same(RgC_gtofp(gel(x,i), prec)) }
1491 :
1492 : INLINE GEN
1493 574 : RgC_gtomp(GEN x, long prec)
1494 23002 : { pari_APPLY_type(t_COL, gtomp(gel(x,i), prec)) }
1495 :
1496 : INLINE GEN
1497 21 : RgM_gtomp(GEN x, long prec)
1498 595 : { pari_APPLY_same(RgC_gtomp(gel(x,i), prec)) }
1499 :
1500 : INLINE GEN
1501 11270 : RgX_fpnorml2(GEN x, long prec)
1502 : {
1503 11270 : pari_sp av = avma;
1504 11270 : return gerepileupto(av, gnorml2(RgX_gtofp(x, prec)));
1505 : }
1506 : INLINE GEN
1507 232946 : RgC_fpnorml2(GEN x, long prec)
1508 : {
1509 232946 : pari_sp av = avma;
1510 232946 : return gerepileupto(av, gnorml2(RgC_gtofp(x, prec)));
1511 : }
1512 : INLINE GEN
1513 7262 : RgM_fpnorml2(GEN x, long prec)
1514 : {
1515 7262 : pari_sp av = avma;
1516 7262 : return gerepileupto(av, gnorml2(RgM_gtofp(x, prec)));
1517 : }
1518 :
1519 : /* y a t_REAL */
1520 : INLINE void
1521 216244 : affgr(GEN x, GEN y)
1522 : {
1523 : pari_sp av;
1524 216244 : switch(typ(x)) {
1525 5992 : case t_INT: affir(x,y); break;
1526 210252 : case t_REAL: affrr(x,y); break;
1527 0 : case t_FRAC: rdiviiz(gel(x,1),gel(x,2), y); break;
1528 0 : case t_QUAD: av = avma; affgr(quadtofp(x,realprec(y)), y); set_avma(av); break;
1529 0 : default: pari_err_TYPE2("=",x,y);
1530 : }
1531 216244 : }
1532 :
1533 : INLINE GEN
1534 243064 : affc_fixlg(GEN x, GEN res)
1535 : {
1536 243064 : if (typ(x) == t_COMPLEX)
1537 : {
1538 210658 : affrr_fixlg(gel(x,1), gel(res,1));
1539 210658 : affrr_fixlg(gel(x,2), gel(res,2));
1540 : }
1541 : else
1542 : {
1543 32406 : set_avma((pari_sp)(res+3));
1544 32405 : res = cgetr(realprec(gel(res,1)));
1545 32408 : affrr_fixlg(x, res);
1546 : }
1547 243069 : return res;
1548 : }
1549 :
1550 : INLINE GEN
1551 0 : trunc_safe(GEN x) { long e; return gcvtoi(x,&e); }
1552 :
1553 : /*******************************************************************/
1554 : /* */
1555 : /* LENGTH CONVERSIONS */
1556 : /* */
1557 : /*******************************************************************/
1558 : INLINE long
1559 36018 : ndec2nlong(long x) { return 1 + (long)((x)*(LOG2_10/BITS_IN_LONG)); }
1560 : INLINE long
1561 27749 : ndec2prec(long x) { return 2 + ndec2nlong(x); }
1562 : INLINE long
1563 8269 : ndec2nbits(long x) { return ndec2nlong(x) << TWOPOTBITS_IN_LONG; }
1564 : /* Fast implementation of ceil(x / (8*sizeof(long))); typecast to (ulong)
1565 : * to avoid overflow. Faster than 1 + ((x-1)>>TWOPOTBITS_IN_LONG)) :
1566 : * addl, shrl instead of subl, sarl, addl */
1567 : INLINE long
1568 6578337 : nbits2nlong(long x) {
1569 6578337 : return (long)(((ulong)x+BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1570 : }
1571 :
1572 : INLINE long
1573 339223865 : nbits2extraprec(long x) {
1574 339223865 : return (long)(((ulong)x+BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1575 : }
1576 :
1577 : /* Fast implementation of 2 + nbits2nlong(x) */
1578 : INLINE long
1579 122559653 : nbits2prec(long x) {
1580 122559653 : return (long)(((ulong)x+3*BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1581 : }
1582 : INLINE long
1583 182513680 : nbits2lg(long x) {
1584 182513680 : return (long)(((ulong)x+3*BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1585 : }
1586 : /* ceil(x / sizeof(long)) */
1587 : INLINE long
1588 16517028 : nchar2nlong(long x) {
1589 16517028 : return (long)(((ulong)x+sizeof(long)-1) >> (TWOPOTBITS_IN_LONG-3L));
1590 : }
1591 : INLINE long
1592 1472820931 : prec2nbits(long x) { return (x-2) * BITS_IN_LONG; }
1593 : INLINE double
1594 2865365 : bit_accuracy_mul(long x, double y) { return (x-2) * (BITS_IN_LONG*y); }
1595 : INLINE double
1596 272072 : prec2nbits_mul(long x, double y) { return (x-2) * (BITS_IN_LONG*y); }
1597 : INLINE long
1598 52102323 : bit_prec(GEN x) { return prec2nbits(realprec(x)); }
1599 : INLINE long
1600 1302440925 : bit_accuracy(long x) { return prec2nbits(x); }
1601 : INLINE long
1602 12553 : prec2ndec(long x) { return (long)prec2nbits_mul(x, LOG10_2); }
1603 : INLINE long
1604 186 : nbits2ndec(long x) { return (long)(x * LOG10_2); }
1605 : INLINE long
1606 3315 : precdbl(long x) {return (x - 1) << 1;}
1607 : INLINE long
1608 3965170943 : divsBIL(long n) { return n >> TWOPOTBITS_IN_LONG; }
1609 : INLINE long
1610 3914649425 : remsBIL(long n) { return n & (BITS_IN_LONG-1); }
1611 :
1612 : /*********************************************************************/
1613 : /** **/
1614 : /** OPERATIONS MODULO m **/
1615 : /** **/
1616 : /*********************************************************************/
1617 : /* Assume m > 0, more efficient if 0 <= a, b < m */
1618 :
1619 : INLINE GEN
1620 36924486 : Fp_red(GEN a, GEN m) { return modii(a, m); }
1621 : INLINE GEN
1622 84859568 : Fp_add(GEN a, GEN b, GEN m)
1623 : {
1624 84859568 : pari_sp av=avma;
1625 84859568 : GEN p = addii(a,b);
1626 83163068 : long s = signe(p);
1627 83163068 : if (!s) return p; /* = gen_0 */
1628 72451187 : if (s > 0) /* general case */
1629 : {
1630 72456755 : GEN t = subii(p, m);
1631 72179465 : s = signe(t);
1632 72179465 : if (!s) return gc_const(av, gen_0);
1633 64782955 : if (s < 0) return gc_const((pari_sp)p, p);
1634 29050850 : if (cmpii(t, m) < 0) return gerepileuptoint(av, t); /* general case ! */
1635 1069670 : p = remii(t, m);
1636 : }
1637 : else
1638 226517 : p = modii(p, m);
1639 1296187 : return gerepileuptoint(av, p);
1640 : }
1641 : INLINE GEN
1642 65431566 : Fp_sub(GEN a, GEN b, GEN m)
1643 : {
1644 65431566 : pari_sp av=avma;
1645 65431566 : GEN p = subii(a,b);
1646 62911534 : long s = signe(p);
1647 62911534 : if (!s) return p; /* = gen_0 */
1648 55247935 : if (s > 0)
1649 : {
1650 25407229 : if (cmpii(p, m) < 0) return p; /* general case ! */
1651 1047631 : p = remii(p, m);
1652 : }
1653 : else
1654 : {
1655 29840706 : GEN t = addii(p, m);
1656 31612607 : if (!s) return gc_const(av, gen_0);
1657 31668821 : if (s > 0) return gerepileuptoint(av, t); /* general case ! */
1658 31668821 : p = modii(t, m);
1659 : }
1660 33045052 : return gerepileuptoint(av, p);
1661 : }
1662 : INLINE GEN
1663 14244741 : Fp_neg(GEN b, GEN m)
1664 : {
1665 14244741 : pari_sp av = avma;
1666 14244741 : long s = signe(b);
1667 : GEN p;
1668 14244741 : if (!s) return gen_0;
1669 11057929 : if (s > 0)
1670 : {
1671 10866642 : p = subii(m, b);
1672 10863693 : if (signe(p) >= 0) return p; /* general case ! */
1673 131108 : p = modii(p, m);
1674 : } else
1675 192494 : p = remii(negi(b), m);
1676 323656 : return gerepileuptoint(av, p);
1677 : }
1678 :
1679 : INLINE GEN
1680 63490 : Fp_halve(GEN a, GEN p)
1681 : {
1682 63490 : if (mpodd(a)) a = addii(a,p);
1683 63490 : return shifti(a,-1);
1684 : }
1685 :
1686 : /* assume 0 <= u < p and ps2 = p>>1 */
1687 : INLINE GEN
1688 39054496 : Fp_center(GEN u, GEN p, GEN ps2)
1689 39054496 : { return abscmpii(u,ps2)<=0? icopy(u): subii(u,p); }
1690 : /* same without copy */
1691 : INLINE GEN
1692 4986666 : Fp_center_i(GEN u, GEN p, GEN ps2)
1693 4986666 : { return abscmpii(u,ps2)<=0? u: subii(u,p); }
1694 :
1695 : /* x + y*z mod p */
1696 : INLINE GEN
1697 5105027 : Fp_addmul(GEN x, GEN y, GEN z, GEN p)
1698 : {
1699 : pari_sp av;
1700 5105027 : if (!signe(y) || !signe(z)) return Fp_red(x, p);
1701 4826918 : if (!signe(x)) return Fp_mul(z,y, p);
1702 4516972 : av = avma;
1703 4516972 : return gerepileuptoint(av, modii(addii(x, mulii(y,z)), p));
1704 : }
1705 :
1706 : INLINE GEN
1707 94543397 : Fp_mul(GEN a, GEN b, GEN m)
1708 : {
1709 94543397 : pari_sp av=avma;
1710 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1711 94543397 : (void)new_chunk(lg(a)+lg(b)+(lg(m)<<1));
1712 94525325 : p = mulii(a,b);
1713 94627755 : set_avma(av); return modii(p,m);
1714 : }
1715 : INLINE GEN
1716 33770114 : Fp_sqr(GEN a, GEN m)
1717 : {
1718 33770114 : pari_sp av=avma;
1719 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1720 33770114 : (void)new_chunk((lg(a)+lg(m))<<1);
1721 33462700 : p = sqri(a);
1722 30751066 : set_avma(av); return remii(p,m); /*Use remii: p >= 0 */
1723 : }
1724 : INLINE GEN
1725 50870628 : Fp_mulu(GEN a, ulong b, GEN m)
1726 : {
1727 50870628 : long l = lgefint(m);
1728 50870628 : if (l == 3)
1729 : {
1730 29609005 : ulong mm = m[2];
1731 29609005 : return utoi( Fl_mul(umodiu(a, mm), b, mm) );
1732 : } else {
1733 21261623 : pari_sp av = avma;
1734 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1735 21261623 : (void)new_chunk(lg(a)+1+(l<<1));
1736 21178474 : p = muliu(a,b);
1737 19363841 : set_avma(av); return modii(p,m);
1738 : }
1739 : }
1740 : INLINE GEN
1741 17290 : Fp_muls(GEN a, long b, GEN m)
1742 : {
1743 17290 : long l = lgefint(m);
1744 17290 : if (l == 3)
1745 : {
1746 3058 : ulong mm = m[2];
1747 3058 : if (b < 0)
1748 : {
1749 3058 : ulong t = Fl_mul(umodiu(a, mm), -b, mm);
1750 3058 : return t? utoipos(mm - t): gen_0;
1751 : }
1752 : else
1753 0 : return utoi( Fl_mul(umodiu(a, mm), b, mm) );
1754 : } else {
1755 14232 : pari_sp av = avma;
1756 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1757 14232 : (void)new_chunk(lg(a)+1+(l<<1));
1758 14232 : p = mulis(a,b);
1759 14232 : set_avma(av); return modii(p,m);
1760 : }
1761 : }
1762 :
1763 : INLINE GEN
1764 12677097 : Fp_inv(GEN a, GEN m)
1765 : {
1766 : GEN res;
1767 12677097 : if (! invmod(a,m,&res)) pari_err_INV("Fp_inv", mkintmod(res,m));
1768 12676579 : return res;
1769 : }
1770 : INLINE GEN
1771 333616 : Fp_invsafe(GEN a, GEN m)
1772 : {
1773 : GEN res;
1774 333616 : if (! invmod(a,m,&res)) return NULL;
1775 333616 : return res;
1776 : }
1777 : INLINE GEN
1778 1500046 : Fp_div(GEN a, GEN b, GEN m)
1779 : {
1780 1500046 : pari_sp av = avma;
1781 : GEN p;
1782 1500046 : if (lgefint(b) == 3)
1783 : {
1784 527058 : a = Fp_divu(a, b[2], m);
1785 527058 : if (signe(b) < 0) a = Fp_neg(a, m);
1786 527058 : return a;
1787 : }
1788 : /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1789 972988 : (void)new_chunk(lg(a)+(lg(m)<<1));
1790 972988 : p = mulii(a, Fp_inv(b,m));
1791 972988 : set_avma(av); return modii(p,m);
1792 : }
1793 : INLINE GEN
1794 1690781 : Fp_divu(GEN x, ulong a, GEN p)
1795 : {
1796 1690781 : pari_sp av = avma;
1797 : ulong b;
1798 1690781 : if (lgefint(p) == 3)
1799 : {
1800 1394447 : ulong pp = p[2], xp = umodiu(x, pp);
1801 1394447 : return xp? utoipos(Fl_div(xp, a % pp, pp)): gen_0;
1802 : }
1803 296334 : x = Fp_red(x, p);
1804 296334 : b = Fl_neg(Fl_div(umodiu(x,a), umodiu(p,a), a), a); /* x + pb = 0 (mod a) */
1805 296336 : return gerepileuptoint(av, diviuexact(addmuliu(x, p, b), a));
1806 : }
1807 :
1808 : INLINE GEN
1809 1032255 : Flx_mulu(GEN x, ulong a, ulong p) { return Flx_Fl_mul(x,a%p,p); }
1810 :
1811 : INLINE GEN
1812 1748325 : get_F2x_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1813 :
1814 : INLINE long
1815 2251480 : get_F2x_var(GEN T) { return typ(T)==t_VEC? mael(T,2,1): T[1]; }
1816 :
1817 : INLINE long
1818 1899771 : get_F2x_degree(GEN T) { return typ(T)==t_VEC? F2x_degree(gel(T,2)): F2x_degree(T); }
1819 :
1820 : INLINE GEN
1821 399 : get_F2xqX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1822 :
1823 : INLINE long
1824 376152 : get_F2xqX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1825 :
1826 : INLINE long
1827 201446 : get_F2xqX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1828 :
1829 : INLINE GEN
1830 8228559 : get_Flx_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1831 :
1832 : INLINE long
1833 21745856 : get_Flx_var(GEN T) { return typ(T)==t_VEC? mael(T,2,1): T[1]; }
1834 :
1835 : INLINE long
1836 32582818 : get_Flx_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1837 :
1838 : INLINE GEN
1839 5891 : get_FlxqX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1840 :
1841 : INLINE long
1842 231216 : get_FlxqX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1843 :
1844 : INLINE long
1845 287008 : get_FlxqX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1846 :
1847 : INLINE GEN
1848 1622469 : get_FpX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1849 :
1850 : INLINE long
1851 4080573 : get_FpX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1852 :
1853 : INLINE long
1854 3030365 : get_FpX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1855 :
1856 : INLINE GEN
1857 146604 : get_FpXQX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1858 :
1859 : INLINE long
1860 34892 : get_FpXQX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1861 :
1862 : INLINE long
1863 2259 : get_FpXQX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1864 :
1865 : /*******************************************************************/
1866 : /* */
1867 : /* ADDMULII / SUBMULII */
1868 : /* */
1869 : /*******************************************************************/
1870 : /* x - y*z */
1871 : INLINE GEN
1872 804693 : submulii(GEN x, GEN y, GEN z)
1873 : {
1874 804693 : long lx = lgefint(x), ly, lz;
1875 : pari_sp av;
1876 : GEN t;
1877 804693 : if (lx == 2) { t = mulii(z,y); togglesign(t); return t; }
1878 698805 : ly = lgefint(y);
1879 698805 : if (ly == 2) return icopy(x);
1880 559230 : lz = lgefint(z);
1881 559230 : av = avma; (void)new_chunk(lx+ly+lz); /* HACK */
1882 559230 : t = mulii(z, y);
1883 559230 : set_avma(av); return subii(x,t);
1884 : }
1885 : /* y*z - x */
1886 : INLINE GEN
1887 1350654 : mulsubii(GEN y, GEN z, GEN x)
1888 : {
1889 1350654 : long lx = lgefint(x), ly, lz;
1890 : pari_sp av;
1891 : GEN t;
1892 1350654 : if (lx == 2) return mulii(z,y);
1893 843331 : ly = lgefint(y);
1894 843331 : if (ly == 2) return negi(x);
1895 772689 : lz = lgefint(z);
1896 772689 : av = avma; (void)new_chunk(lx+ly+lz); /* HACK */
1897 772689 : t = mulii(z, y);
1898 772689 : set_avma(av); return subii(t,x);
1899 : }
1900 :
1901 : /* x - u*y */
1902 : INLINE GEN
1903 7595 : submuliu(GEN x, GEN y, ulong u)
1904 : {
1905 : pari_sp av;
1906 7595 : long ly = lgefint(y);
1907 7595 : if (ly == 2) return icopy(x);
1908 7595 : av = avma;
1909 7595 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1910 7595 : y = mului(u,y);
1911 7595 : set_avma(av); return subii(x, y);
1912 : }
1913 : /* x + u*y */
1914 : INLINE GEN
1915 304292 : addmuliu(GEN x, GEN y, ulong u)
1916 : {
1917 : pari_sp av;
1918 304292 : long ly = lgefint(y);
1919 304292 : if (ly == 2) return icopy(x);
1920 304292 : av = avma;
1921 304292 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1922 304294 : y = mului(u,y);
1923 304291 : set_avma(av); return addii(x, y);
1924 : }
1925 : /* x - u*y */
1926 : INLINE GEN
1927 159633838 : submuliu_inplace(GEN x, GEN y, ulong u)
1928 : {
1929 : pari_sp av;
1930 159633838 : long ly = lgefint(y);
1931 159633838 : if (ly == 2) return x;
1932 132937300 : av = avma;
1933 132937300 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1934 132937314 : y = mului(u,y);
1935 132937250 : set_avma(av); return subii(x, y);
1936 : }
1937 : /* x + u*y */
1938 : INLINE GEN
1939 157392172 : addmuliu_inplace(GEN x, GEN y, ulong u)
1940 : {
1941 : pari_sp av;
1942 157392172 : long ly = lgefint(y);
1943 157392172 : if (ly == 2) return x;
1944 132334583 : av = avma;
1945 132334583 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1946 132334594 : y = mului(u,y);
1947 132334523 : set_avma(av); return addii(x, y);
1948 : }
1949 : /* ux + vy */
1950 : INLINE GEN
1951 23988403 : lincombii(GEN u, GEN v, GEN x, GEN y)
1952 : {
1953 23988403 : long lx = lgefint(x), ly;
1954 : GEN p1, p2;
1955 : pari_sp av;
1956 23988403 : if (lx == 2) return mulii(v,y);
1957 16729921 : ly = lgefint(y);
1958 16729921 : if (ly == 2) return mulii(u,x);
1959 15488842 : av = avma; (void)new_chunk(lx+ly+lgefint(u)+lgefint(v)); /* HACK */
1960 15489702 : p1 = mulii(u,x);
1961 15489542 : p2 = mulii(v,y);
1962 15489549 : set_avma(av); return addii(p1,p2);
1963 : }
1964 :
1965 : /*******************************************************************/
1966 : /* */
1967 : /* GEN SUBTYPES */
1968 : /* */
1969 : /*******************************************************************/
1970 :
1971 : INLINE int
1972 1443738030 : is_const_t(long t) { return (t < t_POLMOD); }
1973 : INLINE int
1974 6819 : is_extscalar_t(long t) { return (t <= t_POL); }
1975 : INLINE int
1976 1240612 : is_intreal_t(long t) { return (t <= t_REAL); }
1977 : INLINE int
1978 421473650 : is_matvec_t(long t) { return (t >= t_VEC && t <= t_MAT); }
1979 : INLINE int
1980 71732160 : is_noncalc_t(long tx) { return (tx) >= t_LIST; }
1981 : INLINE int
1982 1565400 : is_rational_t(long t) { return (t == t_INT || t == t_FRAC); }
1983 : INLINE int
1984 2817880 : is_qfb_t(long t) { return (t == t_QFI || t == t_QFR); }
1985 : INLINE int
1986 803761 : is_real_t(long t) { return (t == t_INT || t == t_REAL || t == t_FRAC); }
1987 : INLINE int
1988 3919812715 : is_recursive_t(long t) { return lontyp[t]; }
1989 : INLINE int
1990 177471122 : is_scalar_t(long t) { return (t < t_POL); }
1991 : INLINE int
1992 1035630 : is_vec_t(long t) { return (t == t_VEC || t == t_COL); }
1993 :
1994 : /*******************************************************************/
1995 : /* */
1996 : /* TRANSCENDENTAL */
1997 : /* */
1998 : /*******************************************************************/
1999 : INLINE GEN
2000 22608089 : sqrtr(GEN x) {
2001 22608089 : long s = signe(x);
2002 22608089 : if (s == 0) return real_0_bit(expo(x) >> 1);
2003 22574846 : if (s >= 0) return sqrtr_abs(x);
2004 42198 : retmkcomplex(gen_0, sqrtr_abs(x));
2005 : }
2006 : INLINE GEN
2007 0 : cbrtr_abs(GEN x) { return sqrtnr_abs(x, 3); }
2008 : INLINE GEN
2009 0 : cbrtr(GEN x) {
2010 0 : long s = signe(x);
2011 : GEN r;
2012 0 : if (s == 0) return real_0_bit(expo(x) / 3);
2013 0 : r = cbrtr_abs(x);
2014 0 : if (s < 0) togglesign(r);
2015 0 : return r;
2016 : }
2017 : INLINE GEN
2018 491106 : sqrtnr(GEN x, long n) {
2019 491106 : long s = signe(x);
2020 : GEN r;
2021 491106 : if (s == 0) return real_0_bit(expo(x) / n);
2022 491106 : r = sqrtnr_abs(x, n);
2023 491106 : if (s < 0) pari_err_IMPL("sqrtnr for x < 0");
2024 491106 : return r;
2025 : }
2026 : INLINE long
2027 260220 : logint(GEN B, GEN y) { return logintall(B,y,NULL); }
2028 : INLINE ulong
2029 2007176 : ulogint(ulong B, ulong y)
2030 : {
2031 : ulong r;
2032 : long e;
2033 2007176 : if (y == 2) return expu(B);
2034 1988262 : r = y;
2035 1988262 : for (e=1;; e++)
2036 : { /* here, r = y^e, r2 = y^(e-1) */
2037 6413428 : if (r >= B) return r == B? e: e-1;
2038 4425161 : r = umuluu_or_0(y, r);
2039 4425164 : if (!r) return e;
2040 : }
2041 : }
2042 :
2043 : /*******************************************************************/
2044 : /* */
2045 : /* MISCELLANEOUS */
2046 : /* */
2047 : /*******************************************************************/
2048 1240535 : INLINE int ismpzero(GEN x) { return is_intreal_t(typ(x)) && !signe(x); }
2049 768288114 : INLINE int isintzero(GEN x) { return typ(x) == t_INT && !signe(x); }
2050 10784640 : INLINE int isint1(GEN x) { return typ(x)==t_INT && equali1(x); }
2051 1700138 : INLINE int isintm1(GEN x){ return typ(x)==t_INT && equalim1(x);}
2052 765061220 : INLINE int equali1(GEN n)
2053 765061220 : { return (ulong) n[1] == (evallgefint(3UL) | evalsigne(1)) && n[2] == 1; }
2054 61430643 : INLINE int equalim1(GEN n)
2055 61430643 : { return (ulong) n[1] == (evallgefint(3UL) | evalsigne(-1)) && n[2] == 1; }
2056 : /* works only for POSITIVE integers */
2057 1221476616 : INLINE int is_pm1(GEN n)
2058 1221476616 : { return lgefint(n) == 3 && n[2] == 1; }
2059 271638535 : INLINE int is_bigint(GEN n)
2060 271638535 : { long l = lgefint(n); return l > 3 || (l == 3 && (n[2] & HIGHBIT)); }
2061 :
2062 2108472630 : INLINE int odd(long x) { return x & 1; }
2063 29037986 : INLINE int both_odd(long x, long y) { return x & y & 1; }
2064 :
2065 : INLINE int
2066 3595830975 : isonstack(GEN x)
2067 3595830975 : { return ((pari_sp)x >= pari_mainstack->bot
2068 3595830975 : && (pari_sp)x < pari_mainstack->top); }
2069 :
2070 : /* assume x != 0 and x t_REAL, return an approximation to log2(|x|) */
2071 : INLINE double
2072 24599796 : dbllog2r(GEN x)
2073 24599796 : { return log2((double)(ulong)x[2]) + (double)(expo(x) - (BITS_IN_LONG-1)); }
2074 :
2075 : INLINE GEN
2076 457104 : mul_content(GEN cx, GEN cy)
2077 : {
2078 457104 : if (!cx) return cy;
2079 154935 : if (!cy) return cx;
2080 103648 : return gmul(cx,cy);
2081 : }
2082 : INLINE GEN
2083 11011 : inv_content(GEN c) { return c? ginv(c): NULL; }
2084 : INLINE GEN
2085 2829512 : mul_denom(GEN dx, GEN dy)
2086 : {
2087 2829512 : if (!dx) return dy;
2088 1259983 : if (!dy) return dx;
2089 406695 : return mulii(dx,dy);
2090 : }
2091 :
2092 : /* POLYNOMIALS */
2093 : INLINE GEN
2094 834200 : constant_coeff(GEN x) { return signe(x)? gel(x,2): gen_0; }
2095 : INLINE GEN
2096 50868166 : leading_coeff(GEN x) { return lg(x) == 2? gen_0: gel(x,lg(x)-1); }
2097 : INLINE ulong
2098 503789 : Flx_lead(GEN x) { return lg(x) == 2? 0: x[lg(x)-1]; }
2099 : INLINE ulong
2100 15174 : Flx_constant(GEN x) { return lg(x) == 2? 0: x[2]; }
2101 : INLINE long
2102 2654719099 : degpol(GEN x) { return lg(x)-3; }
2103 : INLINE long
2104 1441277119 : lgpol(GEN x) { return lg(x)-2; }
2105 : INLINE long
2106 138246257 : lgcols(GEN x) { return lg(gel(x,1)); }
2107 : INLINE long
2108 38815093 : nbrows(GEN x) { return lg(gel(x,1))-1; }
2109 : INLINE GEN
2110 0 : truecoef(GEN x, long n) { return polcoef(x,n,-1); }
2111 :
2112 : INLINE GEN
2113 643952 : ZXQ_mul(GEN y, GEN x, GEN T) { return ZX_rem(ZX_mul(y, x), T); }
2114 : INLINE GEN
2115 295345 : ZXQ_sqr(GEN x, GEN T) { return ZX_rem(ZX_sqr(x), T); }
2116 :
2117 : INLINE GEN
2118 92059395 : RgX_copy(GEN x)
2119 : {
2120 : long lx, i;
2121 92059395 : GEN y = cgetg_copy(x, &lx); y[1] = x[1];
2122 335914996 : for (i = 2; i<lx; i++) gel(y,i) = gcopy(gel(x,i));
2123 92059398 : return y;
2124 : }
2125 : /* have to use ulong to avoid silly warnings from gcc "assuming signed
2126 : * overflow does not occur" */
2127 : INLINE GEN
2128 851669 : RgX_coeff(GEN x, long n)
2129 : {
2130 851669 : ulong l = lg(x);
2131 851669 : return (n < 0 || ((ulong)n+3) > l)? gen_0: gel(x,n+2);
2132 : }
2133 : INLINE GEN
2134 369316 : RgX_renormalize(GEN x) { return RgX_renormalize_lg(x, lg(x)); }
2135 : INLINE GEN
2136 6812185 : RgX_div(GEN x, GEN y) { return RgX_divrem(x,y,NULL); }
2137 : INLINE GEN
2138 1792 : RgXQX_div(GEN x, GEN y, GEN T) { return RgXQX_divrem(x,y,T,NULL); }
2139 : INLINE GEN
2140 104090 : RgXQX_rem(GEN x, GEN y, GEN T) { return RgXQX_divrem(x,y,T,ONLY_REM); }
2141 : INLINE GEN
2142 1085693 : FpX_div(GEN x, GEN y, GEN p) { return FpX_divrem(x,y,p, NULL); }
2143 : INLINE GEN
2144 5534757 : Flx_div(GEN x, GEN y, ulong p) { return Flx_divrem(x,y,p, NULL); }
2145 : INLINE GEN
2146 826436 : F2x_div(GEN x, GEN y) { return F2x_divrem(x,y, NULL); }
2147 : INLINE GEN
2148 0 : FpV_FpC_mul(GEN x, GEN y, GEN p) { return FpV_dotproduct(x,y,p); }
2149 : INLINE GEN
2150 53631708 : pol0_Flx(long sv) { return mkvecsmall(sv); }
2151 : INLINE GEN
2152 16777701 : pol1_Flx(long sv) { return mkvecsmall2(sv, 1); }
2153 : INLINE GEN
2154 18614964 : polx_Flx(long sv) { return mkvecsmall3(sv, 0, 1); }
2155 : INLINE GEN
2156 0 : zero_zx(long sv) { return zero_Flx(sv); }
2157 : INLINE GEN
2158 0 : polx_zx(long sv) { return polx_Flx(sv); }
2159 : INLINE GEN
2160 0 : zx_shift(GEN x, long n) { return Flx_shift(x,n); }
2161 : INLINE GEN
2162 0 : zx_renormalize(GEN x, long l) { return Flx_renormalize(x,l); }
2163 : INLINE GEN
2164 1341 : zero_F2x(long sv) { return zero_Flx(sv); }
2165 : INLINE GEN
2166 11020821 : pol0_F2x(long sv) { return pol0_Flx(sv); }
2167 : INLINE GEN
2168 2803662 : pol1_F2x(long sv) { return pol1_Flx(sv); }
2169 : INLINE GEN
2170 690772 : polx_F2x(long sv) { return mkvecsmall2(sv, 2); }
2171 : INLINE int
2172 518500 : F2x_equal1(GEN x) { return Flx_equal1(x); }
2173 : INLINE int
2174 2967631 : F2x_equal(GEN V, GEN W) { return Flx_equal(V,W); }
2175 : INLINE GEN
2176 53476309 : F2x_copy(GEN x) { return leafcopy(x); }
2177 : INLINE GEN
2178 3360 : F2v_copy(GEN x) { return leafcopy(x); }
2179 : INLINE GEN
2180 2277171 : Flv_copy(GEN x) { return leafcopy(x); }
2181 : INLINE GEN
2182 93048751 : Flx_copy(GEN x) { return leafcopy(x); }
2183 : INLINE GEN
2184 1887683 : vecsmall_copy(GEN x) { return leafcopy(x); }
2185 : INLINE int
2186 4509160 : Flx_equal1(GEN x) { return degpol(x)==0 && x[2] == 1; }
2187 : INLINE int
2188 18616 : ZX_equal1(GEN x) { return degpol(x)==0 && equali1(gel(x,2)); }
2189 : INLINE int
2190 6514462 : ZX_is_monic(GEN x) { return equali1(leading_coeff(x)); }
2191 :
2192 : INLINE GEN
2193 60281487 : ZX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2194 : INLINE GEN
2195 72572162 : FpX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2196 : INLINE GEN
2197 674459 : FpXX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2198 : INLINE GEN
2199 1347623 : FpXQX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2200 : INLINE GEN
2201 107115788 : F2x_renormalize(GEN x, long lx) { return Flx_renormalize(x,lx); }
2202 : INLINE GEN
2203 32620 : F2v_to_F2x(GEN x, long sv) {
2204 32620 : GEN y = leafcopy(x);
2205 32620 : y[1] = sv; F2x_renormalize(y, lg(y)); return y;
2206 : }
2207 :
2208 : INLINE long
2209 126 : sturm(GEN x) { return sturmpart(x, NULL, NULL); }
2210 :
2211 : INLINE long
2212 3927 : gval(GEN x, long v)
2213 3927 : { pari_sp av = avma; return gc_long(av, gvaluation(x, pol_x(v))); }
2214 :
2215 : INLINE void
2216 473700 : RgX_shift_inplace_init(long v)
2217 473700 : { if (v) (void)cgetg(v, t_VECSMALL); }
2218 : /* shift polynomial in place. assume v free cells have been left before x */
2219 : INLINE GEN
2220 473700 : RgX_shift_inplace(GEN x, long v)
2221 : {
2222 : long i, lx;
2223 : GEN z;
2224 473700 : if (!v) return x;
2225 253227 : lx = lg(x);
2226 253227 : if (lx == 2) return x;
2227 253227 : z = x + lx;
2228 : /* stackdummy's from normalizepol */
2229 253227 : while (lg(z) != v) z += lg(z);
2230 253227 : z += v;
2231 4656826 : for (i = lx-1; i >= 2; i--) gel(--z,0) = gel(x,i);
2232 676007 : for (i = 0; i < v; i++) gel(--z,0) = gen_0;
2233 253227 : z -= 2;
2234 253227 : z[1] = x[1];
2235 253227 : z[0] = evaltyp(t_POL) | evallg(lx+v);
2236 253227 : stackdummy((pari_sp)z, (pari_sp)x); return z;
2237 : }
2238 :
2239 :
2240 : /* LINEAR ALGEBRA */
2241 : INLINE GEN
2242 138369 : zv_to_ZV(GEN x) { return vecsmall_to_vec(x); }
2243 : INLINE GEN
2244 5327184 : zc_to_ZC(GEN x) { return vecsmall_to_col(x); }
2245 : INLINE GEN
2246 3306476 : ZV_to_zv(GEN x) { return vec_to_vecsmall(x); }
2247 : INLINE GEN
2248 0 : zx_to_zv(GEN x, long N) { return Flx_to_Flv(x,N); }
2249 : INLINE GEN
2250 0 : zv_to_zx(GEN x, long sv) { return Flv_to_Flx(x,sv); }
2251 : INLINE GEN
2252 0 : zm_to_zxV(GEN x, long sv) { return Flm_to_FlxV(x,sv); }
2253 : INLINE GEN
2254 0 : zero_zm(long x, long y) { return zero_Flm(x,y); }
2255 : INLINE GEN
2256 17338880 : zero_zv(long x) { return zero_Flv(x); }
2257 : INLINE GEN
2258 238 : zm_transpose(GEN x) { return Flm_transpose(x); }
2259 : INLINE GEN
2260 0 : zm_copy(GEN x) { return Flm_copy(x); }
2261 : INLINE GEN
2262 1902208 : zv_copy(GEN x) { return Flv_copy(x); }
2263 : INLINE GEN
2264 0 : zm_row(GEN x, long i) { return Flm_row(x,i); }
2265 :
2266 : INLINE GEN
2267 1998728 : ZC_hnfrem(GEN x, GEN y) { return ZC_hnfremdiv(x,y,NULL); }
2268 : INLINE GEN
2269 41950 : ZM_hnfrem(GEN x, GEN y) { return ZM_hnfdivrem(x,y,NULL); }
2270 : INLINE GEN
2271 2704837 : ZM_lll(GEN x, double D, long f) { return ZM_lll_norms(x,D,f,NULL); }
2272 : INLINE void
2273 6069596 : RgM_dimensions(GEN x, long *m, long *n) { *n = lg(x)-1; *m = *n? nbrows(x): 0; }
2274 : INLINE GEN
2275 10686573 : RgM_shallowcopy(GEN x)
2276 : {
2277 : long l;
2278 10686573 : GEN y = cgetg_copy(x, &l);
2279 49814901 : while (--l > 0) gel(y,l) = leafcopy(gel(x,l));
2280 10686551 : return y;
2281 : }
2282 : INLINE GEN
2283 20452 : F2m_copy(GEN x) { return RgM_shallowcopy(x); }
2284 :
2285 : INLINE GEN
2286 1585526 : Flm_copy(GEN x) { return RgM_shallowcopy(x); }
2287 :
2288 : /* divisibility: return 1 if y[i] | x[i] for all i, 0 otherwise. Assume
2289 : * x,y are ZV of the same length */
2290 : INLINE int
2291 23198 : ZV_dvd(GEN x, GEN y)
2292 : {
2293 23198 : long i, l = lg(x);
2294 36666 : for (i=1; i < l; i++)
2295 29533 : if ( ! dvdii( gel(x,i), gel(y,i) ) ) return 0;
2296 7133 : return 1;
2297 : }
2298 :
2299 : /* Fq */
2300 : INLINE GEN
2301 2481376 : Fq_red(GEN x, GEN T, GEN p)
2302 2481376 : { return typ(x)==t_INT? Fp_red(x,p): FpXQ_red(x,T,p); }
2303 : INLINE GEN
2304 99665 : Fq_to_FpXQ(GEN x, GEN T, GEN p /*unused*/)
2305 : {
2306 : (void) p;
2307 99665 : return typ(x)==t_INT ? scalarpol(x, get_FpX_var(T)): x;
2308 : }
2309 : INLINE GEN
2310 756 : Rg_to_Fq(GEN x, GEN T, GEN p) { return T? Rg_to_FpXQ(x,T,p): Rg_to_Fp(x,p); }
2311 :
2312 : INLINE GEN
2313 805 : gener_Fq_local(GEN T, GEN p, GEN L)
2314 0 : { return T? gener_FpXQ_local(T,p, L)
2315 805 : : pgener_Fp_local(p, L); }
2316 :
2317 : /* FpXQX */
2318 : INLINE GEN
2319 4417 : FpXQX_div(GEN x, GEN y, GEN T, GEN p) { return FpXQX_divrem(x, y, T, p, NULL); }
2320 : INLINE GEN
2321 38275 : FlxqX_div(GEN x, GEN y, GEN T, ulong p) { return FlxqX_divrem(x, y, T, p, NULL); }
2322 : INLINE GEN
2323 33334 : F2xqX_div(GEN x, GEN y, GEN T) { return F2xqX_divrem(x, y, T, NULL); }
2324 :
2325 : INLINE GEN
2326 20006 : FpXY_Fq_evaly(GEN Q, GEN y, GEN T, GEN p, long vx)
2327 20006 : { return T ? FpXY_FpXQ_evaly(Q, y, T, p, vx): FpXY_evaly(Q, y, p, vx); }
2328 :
2329 : /* FqX */
2330 : INLINE GEN
2331 25067 : FqX_red(GEN z, GEN T, GEN p) { return T? FpXQX_red(z, T, p): FpX_red(z, p); }
2332 : INLINE GEN
2333 105343 : FqX_add(GEN x,GEN y,GEN T,GEN p) { return T? FpXX_add(x,y,p): FpX_add(x,y,p); }
2334 : INLINE GEN
2335 24313 : FqX_neg(GEN x,GEN T,GEN p) { return T? FpXX_neg(x,p): FpX_neg(x,p); }
2336 : INLINE GEN
2337 66458 : FqX_sub(GEN x,GEN y,GEN T,GEN p) { return T? FpXX_sub(x,y,p): FpX_sub(x,y,p); }
2338 : INLINE GEN
2339 204076 : FqX_Fp_mul(GEN P, GEN u, GEN T, GEN p)
2340 204076 : { return T? FpXX_Fp_mul(P, u, p): FpX_Fp_mul(P, u, p); }
2341 : INLINE GEN
2342 87335 : FqX_Fq_mul(GEN P, GEN U, GEN T, GEN p)
2343 87335 : { return typ(U)==t_INT ? FqX_Fp_mul(P, U, T, p): FpXQX_FpXQ_mul(P, U, T, p); }
2344 : INLINE GEN
2345 160066 : FqX_mul(GEN x, GEN y, GEN T, GEN p)
2346 160066 : { return T? FpXQX_mul(x, y, T, p): FpX_mul(x, y, p); }
2347 : INLINE GEN
2348 17594 : FqX_mulu(GEN x, ulong y, GEN T, GEN p)
2349 17594 : { return T? FpXX_mulu(x, y, p): FpX_mulu(x, y, p); }
2350 : INLINE GEN
2351 69678 : FqX_sqr(GEN x, GEN T, GEN p)
2352 69678 : { return T? FpXQX_sqr(x, T, p): FpX_sqr(x, p); }
2353 : INLINE GEN
2354 1281 : FqX_powu(GEN x, ulong n, GEN T, GEN p)
2355 1281 : { return T? FpXQX_powu(x, n, T, p): FpX_powu(x, n, p); }
2356 : INLINE GEN
2357 18774 : FqX_halve(GEN x, GEN T, GEN p)
2358 18774 : { return T? FpXX_halve(x, p): FpX_halve(x, p); }
2359 : INLINE GEN
2360 6027 : FqX_div(GEN x, GEN y, GEN T, GEN p)
2361 6027 : { return T? FpXQX_divrem(x,y,T,p,NULL): FpX_divrem(x,y,p,NULL); }
2362 : INLINE GEN
2363 6081 : FqX_get_red(GEN S, GEN T, GEN p)
2364 6081 : { return T? FpXQX_get_red(S,T,p): FpX_get_red(S,p); }
2365 : INLINE GEN
2366 31086 : FqX_rem(GEN x, GEN y, GEN T, GEN p)
2367 31086 : { return T? FpXQX_rem(x,y,T,p): FpX_rem(x,y,p); }
2368 : INLINE GEN
2369 0 : FqX_divrem(GEN x, GEN y, GEN T, GEN p, GEN *z)
2370 0 : { return T? FpXQX_divrem(x,y,T,p,z): FpX_divrem(x,y,p,z); }
2371 : INLINE GEN
2372 5936 : FqX_div_by_X_x(GEN x, GEN y, GEN T, GEN p, GEN *z)
2373 5936 : { return T? FpXQX_div_by_X_x(x,y,T,p,z): FpX_div_by_X_x(x,y,p,z); }
2374 : INLINE GEN
2375 0 : FqX_halfgcd(GEN P,GEN Q,GEN T,GEN p)
2376 0 : {return T? FpXQX_halfgcd(P,Q,T,p): FpX_halfgcd(P,Q,p);}
2377 : INLINE GEN
2378 260001 : FqX_gcd(GEN P,GEN Q,GEN T,GEN p)
2379 260001 : {return T? FpXQX_gcd(P,Q,T,p): FpX_gcd(P,Q,p);}
2380 : INLINE GEN
2381 100896 : FqX_extgcd(GEN P,GEN Q,GEN T,GEN p, GEN *U, GEN *V)
2382 100896 : { return T? FpXQX_extgcd(P,Q,T,p,U,V): FpX_extgcd(P,Q,p,U,V); }
2383 : INLINE GEN
2384 3514 : FqX_normalize(GEN z, GEN T, GEN p)
2385 3514 : { return T? FpXQX_normalize(z, T, p): FpX_normalize(z, p); }
2386 : INLINE GEN
2387 291893 : FqX_deriv(GEN f, GEN T, GEN p) { return T? FpXX_deriv(f, p): FpX_deriv(f, p); }
2388 : INLINE GEN
2389 0 : FqX_integ(GEN f, GEN T, GEN p) { return T? FpXX_integ(f, p): FpX_integ(f, p); }
2390 : INLINE GEN
2391 76048 : FqX_factor(GEN f, GEN T, GEN p)
2392 76048 : { return T?FpXQX_factor(f, T, p): FpX_factor(f, p); }
2393 : INLINE GEN
2394 7 : FqX_factor_squarefree(GEN f, GEN T, GEN p)
2395 7 : { return T ? FpXQX_factor_squarefree(f, T, p): FpX_factor_squarefree(f, p); }
2396 : INLINE GEN
2397 7 : FqX_ddf(GEN f, GEN T, GEN p)
2398 7 : { return T ? FpXQX_ddf(f, T, p): FpX_ddf(f, p); }
2399 : INLINE GEN
2400 1862 : FqX_degfact(GEN f, GEN T, GEN p)
2401 1862 : { return T?FpXQX_degfact(f, T, p): FpX_degfact(f, p); }
2402 : INLINE GEN
2403 7147 : FqX_roots(GEN f, GEN T, GEN p)
2404 7147 : { return T?FpXQX_roots(f, T, p): FpX_roots(f, p); }
2405 : INLINE GEN
2406 175 : FqX_to_mod(GEN f, GEN T, GEN p)
2407 175 : { return T?FpXQX_to_mod(f, T, p): FpX_to_mod(f, p); }
2408 :
2409 : /*FqXQ*/
2410 : INLINE GEN
2411 0 : FqXQ_add(GEN x, GEN y, GEN S/*unused*/, GEN T, GEN p)
2412 0 : { (void)S; return T? FpXX_add(x,y,p): FpX_add(x,y,p); }
2413 : INLINE GEN
2414 0 : FqXQ_sub(GEN x, GEN y, GEN S/*unused*/, GEN T, GEN p)
2415 0 : { (void)S; return T? FpXX_sub(x,y,p): FpX_sub(x,y,p); }
2416 : INLINE GEN
2417 0 : FqXQ_div(GEN x, GEN y, GEN S, GEN T, GEN p)
2418 0 : { return T? FpXQXQ_div(x,y,S,T,p): FpXQ_div(x,y,S,p); }
2419 : INLINE GEN
2420 0 : FqXQ_inv(GEN x, GEN S, GEN T, GEN p)
2421 0 : { return T? FpXQXQ_inv(x,S,T,p): FpXQ_inv(x,S,p); }
2422 : INLINE GEN
2423 0 : FqXQ_invsafe(GEN x, GEN S, GEN T, GEN p)
2424 0 : { return T? FpXQXQ_invsafe(x,S,T,p): FpXQ_inv(x,S,p); }
2425 : INLINE GEN
2426 22320 : FqXQ_mul(GEN x, GEN y, GEN S, GEN T, GEN p)
2427 22320 : { return T? FpXQXQ_mul(x,y,S,T,p): FpXQ_mul(x,y,S,p); }
2428 : INLINE GEN
2429 0 : FqXQ_sqr(GEN x, GEN S, GEN T, GEN p)
2430 0 : { return T? FpXQXQ_sqr(x,S,T,p): FpXQ_sqr(x,S,p); }
2431 : INLINE GEN
2432 0 : FqXQ_pow(GEN x, GEN n, GEN S, GEN T, GEN p)
2433 0 : { return T? FpXQXQ_pow(x,n,S,T,p): FpXQ_pow(x,n,S,p); }
2434 :
2435 : /*FqXn*/
2436 : INLINE GEN
2437 6610 : FqXn_expint(GEN x, long n, GEN T, GEN p)
2438 6610 : { return T? FpXQXn_expint(x,n,T,p): FpXn_expint(x,n,p); }
2439 : INLINE GEN
2440 0 : FqXn_exp(GEN x, long n, GEN T, GEN p)
2441 0 : { return T? FpXQXn_exp(x,n,T,p): FpXn_exp(x,n,p); }
2442 : INLINE GEN
2443 6916 : FqXn_inv(GEN x, long n, GEN T, GEN p)
2444 6916 : { return T? FpXQXn_inv(x,n,T,p): FpXn_inv(x,n,p); }
2445 : INLINE GEN
2446 254926 : FqXn_mul(GEN x, GEN y, long n, GEN T, GEN p)
2447 254926 : { return T? FpXQXn_mul(x, y, n, T, p): FpXn_mul(x, y, n, p); }
2448 : INLINE GEN
2449 0 : FqXn_sqr(GEN x, long n, GEN T, GEN p)
2450 0 : { return T? FpXQXn_sqr(x,n,T,p): FpXn_sqr(x,n,p); }
2451 :
2452 : /*FpXQ*/
2453 : INLINE GEN
2454 0 : FpXQ_add(GEN x,GEN y,GEN T/*unused*/,GEN p)
2455 0 : { (void)T; return FpX_add(x,y,p); }
2456 : INLINE GEN
2457 0 : FpXQ_sub(GEN x,GEN y,GEN T/*unused*/,GEN p)
2458 0 : { (void)T; return FpX_sub(x,y,p); }
2459 :
2460 : /*Flxq*/
2461 : INLINE GEN
2462 0 : Flxq_add(GEN x,GEN y,GEN T/*unused*/,ulong p)
2463 0 : { (void)T; return Flx_add(x,y,p); }
2464 : INLINE GEN
2465 0 : Flxq_sub(GEN x,GEN y,GEN T/*unused*/,ulong p)
2466 0 : { (void)T; return Flx_sub(x,y,p); }
2467 :
2468 : /* F2x */
2469 :
2470 : INLINE ulong
2471 53831037 : F2x_coeff(GEN x,long v)
2472 : {
2473 53831037 : ulong u=(ulong)x[2+divsBIL(v)];
2474 53829277 : return (u>>remsBIL(v))&1UL;
2475 : }
2476 :
2477 : INLINE void
2478 5078203 : F2x_clear(GEN x,long v)
2479 : {
2480 5078203 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2481 5078202 : *u&=~(1UL<<remsBIL(v));
2482 5078202 : }
2483 :
2484 : INLINE void
2485 32761035 : F2x_set(GEN x,long v)
2486 : {
2487 32761035 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2488 32739687 : *u|=1UL<<remsBIL(v);
2489 32730923 : }
2490 :
2491 : INLINE void
2492 1506758 : F2x_flip(GEN x,long v)
2493 : {
2494 1506758 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2495 1506757 : *u^=1UL<<remsBIL(v);
2496 1506760 : }
2497 :
2498 : /* F2v */
2499 :
2500 : INLINE ulong
2501 49184051 : F2v_coeff(GEN x,long v) { return F2x_coeff(x,v-1); }
2502 :
2503 : INLINE void
2504 5078202 : F2v_clear(GEN x,long v) { F2x_clear(x,v-1); }
2505 :
2506 : INLINE void
2507 9031371 : F2v_set(GEN x,long v) { F2x_set(x,v-1); }
2508 :
2509 : INLINE void
2510 1506759 : F2v_flip(GEN x,long v) { F2x_flip(x,v-1); }
2511 :
2512 : /* F2m */
2513 :
2514 : INLINE ulong
2515 4476968 : F2m_coeff(GEN x, long a, long b) { return F2v_coeff(gel(x,b), a); }
2516 :
2517 : INLINE void
2518 0 : F2m_clear(GEN x, long a, long b) { F2v_clear(gel(x,b), a); }
2519 :
2520 : INLINE void
2521 0 : F2m_set(GEN x, long a, long b) { F2v_set(gel(x,b), a); }
2522 :
2523 : INLINE void
2524 1506759 : F2m_flip(GEN x, long a, long b) { F2v_flip(gel(x,b), a); }
2525 :
2526 : /* ARITHMETIC */
2527 : INLINE GEN
2528 2205 : matpascal(long n) { return matqpascal(n, NULL); }
2529 : INLINE long
2530 2341956 : Z_issquare(GEN x) { return Z_issquareall(x, NULL); }
2531 : INLINE long
2532 14 : Z_ispower(GEN x, ulong k) { return Z_ispowerall(x, k, NULL); }
2533 : INLINE GEN
2534 4407615 : sqrti(GEN x) { return sqrtremi(x,NULL); }
2535 : INLINE GEN
2536 5965198 : gaddgs(GEN y, long s) { return gaddsg(s,y); }
2537 : INLINE int
2538 75620 : gcmpgs(GEN y, long s) { return -gcmpsg(s,y); }
2539 : INLINE int
2540 24549 : gequalgs(GEN y, long s) { return gequalsg(s,y); }
2541 : INLINE GEN
2542 0 : gmaxsg(long s, GEN y) { return gmaxgs(y,s); }
2543 : INLINE GEN
2544 0 : gminsg(long s, GEN y) { return gmings(y,s); }
2545 : INLINE GEN
2546 22051891 : gmulgs(GEN y, long s) { return gmulsg(s,y); }
2547 : INLINE GEN
2548 1075888 : gsubgs(GEN y, long s) { return gaddgs(y, -s); }
2549 : INLINE GEN
2550 197749 : gdivsg(long s, GEN y) { return gdiv(stoi(s), y); }
2551 :
2552 : INLINE GEN
2553 9672258 : gmax_shallow(GEN x, GEN y) { return gcmp(x,y)<0? y: x; }
2554 : INLINE GEN
2555 258516 : gmin_shallow(GEN x, GEN y) { return gcmp(x,y)<0? x: y; }
2556 :
2557 : /* x t_COMPLEX */
2558 : INLINE GEN
2559 16177101 : cxnorm(GEN x) { return gadd(gsqr(gel(x,1)), gsqr(gel(x,2))); }
2560 : /* q t_QUAD */
2561 : INLINE GEN
2562 840 : quadnorm(GEN q)
2563 : {
2564 840 : GEN X = gel(q,1), b = gel(X,3), c = gel(X,2);
2565 840 : GEN z, u = gel(q,3), v = gel(q,2);
2566 840 : if (typ(u) == t_INT && typ(v) == t_INT) /* generic case */
2567 : {
2568 651 : z = signe(b)? mulii(v, addii(u,v)): sqri(v);
2569 651 : return addii(z, mulii(c, sqri(u)));
2570 : }
2571 : else
2572 : {
2573 189 : z = signe(b)? gmul(v, gadd(u,v)): gsqr(v);
2574 189 : return gadd(z, gmul(c, gsqr(u)));
2575 : }
2576 : }
2577 : /* x a t_QUAD, return the attached discriminant */
2578 : INLINE GEN
2579 1001 : quad_disc(GEN x)
2580 : {
2581 1001 : GEN Q = gel(x,1), b = gel(Q,3), c = gel(Q,2), c4 = shifti(c,2);
2582 1001 : if (is_pm1(b)) return subsi(1, c4);
2583 147 : togglesign_safe(&c4); return c4;
2584 : }
2585 : INLINE GEN
2586 5633278 : qfb_disc3(GEN x, GEN y, GEN z) { return subii(sqri(y), shifti(mulii(x,z),2)); }
2587 : INLINE GEN
2588 5556558 : qfb_disc(GEN x) { return qfb_disc3(gel(x,1), gel(x,2), gel(x,3)); }
2589 :
2590 : INLINE GEN
2591 1621066 : sqrfrac(GEN x)
2592 : {
2593 1621066 : GEN z = cgetg(3,t_FRAC);
2594 1621066 : gel(z,1) = sqri(gel(x,1));
2595 1621066 : gel(z,2) = sqri(gel(x,2)); return z;
2596 : }
2597 :
2598 : INLINE void
2599 8934012 : normalize_frac(GEN z) {
2600 8934012 : if (signe(gel(z,2)) < 0) { togglesign(gel(z,1)); setabssign(gel(z,2)); }
2601 8934012 : }
2602 :
2603 : INLINE GEN
2604 353477 : powii(GEN x, GEN n)
2605 : {
2606 353477 : long ln = lgefint(n);
2607 353477 : if (ln == 3) {
2608 : GEN z;
2609 348976 : if (signe(n) > 0) return powiu(x, n[2]);
2610 8260 : z = cgetg(3, t_FRAC);
2611 8260 : gel(z,1) = gen_1;
2612 8260 : gel(z,2) = powiu(x, n[2]);
2613 8260 : return z;
2614 : }
2615 4501 : if (ln == 2) return gen_1; /* rare */
2616 : /* should never happen */
2617 0 : return powgi(x, n); /* overflow unless x = 0, 1, -1 */
2618 : }
2619 : INLINE GEN
2620 1498 : powIs(long n) {
2621 1498 : switch(n & 3)
2622 : {
2623 63 : case 1: return mkcomplex(gen_0,gen_1);
2624 385 : case 2: return gen_m1;
2625 707 : case 3: return mkcomplex(gen_0,gen_m1);
2626 : }
2627 343 : return gen_1;
2628 : }
2629 :
2630 : /*******************************************************************/
2631 : /* */
2632 : /* ASSIGNMENTS */
2633 : /* */
2634 : /*******************************************************************/
2635 0 : INLINE void mpexpz(GEN x, GEN z)
2636 0 : { pari_sp av = avma; gaffect(mpexp(x), z); set_avma(av); }
2637 0 : INLINE void mplogz(GEN x, GEN z)
2638 0 : { pari_sp av = avma; gaffect(mplog(x), z); set_avma(av); }
2639 0 : INLINE void mpcosz(GEN x, GEN z)
2640 0 : { pari_sp av = avma; gaffect(mpcos(x), z); set_avma(av); }
2641 0 : INLINE void mpsinz(GEN x, GEN z)
2642 0 : { pari_sp av = avma; gaffect(mpsin(x), z); set_avma(av); }
2643 0 : INLINE void gnegz(GEN x, GEN z)
2644 0 : { pari_sp av = avma; gaffect(gneg(x), z); set_avma(av); }
2645 0 : INLINE void gabsz(GEN x, long prec, GEN z)
2646 0 : { pari_sp av = avma; gaffect(gabs(x,prec), z); set_avma(av); }
2647 0 : INLINE void gaddz(GEN x, GEN y, GEN z)
2648 0 : { pari_sp av = avma; gaffect(gadd(x,y), z); set_avma(av); }
2649 0 : INLINE void gsubz(GEN x, GEN y, GEN z)
2650 0 : { pari_sp av = avma; gaffect(gsub(x,y), z); set_avma(av); }
2651 0 : INLINE void gmulz(GEN x, GEN y, GEN z)
2652 0 : { pari_sp av = avma; gaffect(gmul(x,y), z); set_avma(av); }
2653 0 : INLINE void gdivz(GEN x, GEN y, GEN z)
2654 0 : { pari_sp av = avma; gaffect(gdiv(x,y), z); set_avma(av); }
2655 0 : INLINE void gdiventz(GEN x, GEN y, GEN z)
2656 0 : { pari_sp av = avma; gaffect(gdivent(x,y), z); set_avma(av); }
2657 0 : INLINE void gmodz(GEN x, GEN y, GEN z)
2658 0 : { pari_sp av = avma; gaffect(gmod(x,y), z); set_avma(av); }
2659 0 : INLINE void gmul2nz(GEN x, long s, GEN z)
2660 0 : { pari_sp av = avma; gaffect(gmul2n(x,s), z); set_avma(av); }
2661 0 : INLINE void gshiftz(GEN x, long s, GEN z)
2662 0 : { pari_sp av = avma; gaffect(gshift(x,s), z); set_avma(av); }
2663 :
2664 : /*******************************************************************/
2665 : /* */
2666 : /* ELLIPTIC CURVES */
2667 : /* */
2668 : /*******************************************************************/
2669 3985056 : INLINE GEN ell_get_a1(GEN e) { return gel(e,1); }
2670 3098804 : INLINE GEN ell_get_a2(GEN e) { return gel(e,2); }
2671 3866372 : INLINE GEN ell_get_a3(GEN e) { return gel(e,3); }
2672 3891715 : INLINE GEN ell_get_a4(GEN e) { return gel(e,4); }
2673 4708496 : INLINE GEN ell_get_a6(GEN e) { return gel(e,5); }
2674 3323419 : INLINE GEN ell_get_b2(GEN e) { return gel(e,6); }
2675 1027618 : INLINE GEN ell_get_b4(GEN e) { return gel(e,7); }
2676 1633636 : INLINE GEN ell_get_b6(GEN e) { return gel(e,8); }
2677 1464918 : INLINE GEN ell_get_b8(GEN e) { return gel(e,9); }
2678 6213416 : INLINE GEN ell_get_c4(GEN e) { return gel(e,10); }
2679 7451547 : INLINE GEN ell_get_c6(GEN e) { return gel(e,11); }
2680 9705800 : INLINE GEN ell_get_disc(GEN e) { return gel(e,12); }
2681 1031380 : INLINE GEN ell_get_j(GEN e) { return gel(e,13); }
2682 11473863 : INLINE long ell_get_type(GEN e) { return mael(e,14,1); }
2683 1570130 : INLINE GEN ellff_get_field(GEN x) { return gmael(x, 15, 1); }
2684 682694 : INLINE GEN ellff_get_a4a6(GEN x) { return gmael(x, 15, 2); }
2685 1407 : INLINE GEN ellQp_get_zero(GEN x) { return gmael(x, 15, 1); }
2686 287 : INLINE long ellQp_get_prec(GEN E) { GEN z = ellQp_get_zero(E); return valp(z); }
2687 1085 : INLINE GEN ellQp_get_p(GEN E) { GEN z = ellQp_get_zero(E); return gel(z,2); }
2688 37471 : INLINE long ellR_get_prec(GEN x) { return nbits2prec(mael3(x, 15, 1, 1)); }
2689 13762 : INLINE long ellR_get_sign(GEN x) { return mael3(x, 15, 1, 2); }
2690 701648 : INLINE GEN ellnf_get_nf(GEN x) { return checknf_i(gmael(x,15,1)); }
2691 56 : INLINE GEN ellnf_get_bnf(GEN x) { return checkbnf_i(gmael(x,15,1)); }
2692 :
2693 4630394 : INLINE int checkell_i(GEN e) { return typ(e) == t_VEC && lg(e) == 17; }
2694 33925086 : INLINE int ell_is_inf(GEN z) { return lg(z) == 2; }
2695 807996 : INLINE GEN ellinf(void) { return mkvec(gen_0); }
2696 :
2697 : /*******************************************************************/
2698 : /* */
2699 : /* ALGEBRAIC NUMBER THEORY */
2700 : /* */
2701 : /*******************************************************************/
2702 8431349 : INLINE GEN modpr_get_pr(GEN x) { return gel(x,3); }
2703 628922 : INLINE GEN modpr_get_p(GEN x) { return pr_get_p(modpr_get_pr(x)); }
2704 2518476 : INLINE GEN modpr_get_T(GEN x) { return lg(x) == 4? NULL: gel(x,4); }
2705 :
2706 26956970 : INLINE GEN pr_get_p(GEN pr) { return gel(pr,1); }
2707 8029767 : INLINE GEN pr_get_gen(GEN pr){ return gel(pr,2); }
2708 : /* .[2] instead of itos works: e and f are small positive integers */
2709 2541755 : INLINE long pr_get_e(GEN pr) { return gel(pr,3)[2]; }
2710 13309881 : INLINE long pr_get_f(GEN pr) { return gel(pr,4)[2]; }
2711 10651891 : INLINE GEN pr_get_tau(GEN pr){ return gel(pr,5); }
2712 : INLINE int
2713 3863406 : pr_is_inert(GEN P) { return pr_get_f(P) == lg(pr_get_gen(P))-1; }
2714 : INLINE GEN
2715 2131426 : pr_norm(GEN pr) { return powiu(pr_get_p(pr), pr_get_f(pr)); }
2716 : INLINE ulong
2717 91532 : upr_norm(GEN pr) { return upowuu(pr_get_p(pr)[2], pr_get_f(pr)); }
2718 :
2719 : /* assume nf a genuine nf */
2720 : INLINE long
2721 390043 : nf_get_varn(GEN nf) { return varn(gel(nf,1)); }
2722 : INLINE GEN
2723 37252029 : nf_get_pol(GEN nf) { return gel(nf,1); }
2724 : INLINE long
2725 30087324 : nf_get_degree(GEN nf) { return degpol( nf_get_pol(nf) ); }
2726 : INLINE long
2727 4194530 : nf_get_r1(GEN nf) { GEN x = gel(nf,2); return itou(gel(x,1)); }
2728 : INLINE long
2729 3032 : nf_get_r2(GEN nf) { GEN x = gel(nf,2); return itou(gel(x,2)); }
2730 : INLINE GEN
2731 58711 : nf_get_disc(GEN nf) { return gel(nf,3); }
2732 : INLINE GEN
2733 910848 : nf_get_index(GEN nf) { return gel(nf,4); }
2734 : INLINE GEN
2735 2673713 : nf_get_M(GEN nf) { return gmael(nf,5,1); }
2736 : INLINE GEN
2737 1874945 : nf_get_G(GEN nf) { return gmael(nf,5,2); }
2738 : INLINE GEN
2739 2288621 : nf_get_roundG(GEN nf) { return gmael(nf,5,3); }
2740 : INLINE GEN
2741 16121 : nf_get_Tr(GEN nf) { return gmael(nf,5,4); }
2742 : INLINE GEN
2743 2779 : nf_get_diff(GEN nf) { return gmael(nf,5,5); }
2744 : INLINE GEN
2745 2863 : nf_get_ramified_primes(GEN nf) { return gmael(nf,5,8); }
2746 : INLINE GEN
2747 394559 : nf_get_roots(GEN nf) { return gel(nf,6); }
2748 : INLINE GEN
2749 98 : nf_get_zk(GEN nf)
2750 : {
2751 98 : GEN y = gel(nf,7), D = gel(y, 1);
2752 98 : if (typ(D) == t_POL) D = gel(D, 2);
2753 98 : if (!equali1(D)) y = gdiv(y, D);
2754 98 : return y;
2755 : }
2756 : INLINE GEN
2757 1209604 : nf_get_zkprimpart(GEN nf)
2758 : {
2759 1209604 : GEN y = gel(nf,7);
2760 : /* test for old format of nf.zk: non normalized */
2761 1209604 : if (!equali1(gel(nf,4)) && gequal1(gel(y,1))) y = Q_remove_denom(y,NULL);
2762 1209605 : return y;
2763 : }
2764 : INLINE GEN
2765 1211160 : nf_get_zkden(GEN nf)
2766 : {
2767 1211160 : GEN y = gel(nf,7), D = gel(y,1);
2768 1211160 : if (typ(D) == t_POL) D = gel(D,2);
2769 : /* test for old format of nf.zk: non normalized */
2770 1211160 : if (!equali1(gel(nf,4)) && equali1(D)) D = Q_denom(y);
2771 1211157 : return D;
2772 : }
2773 : INLINE GEN
2774 2799228 : nf_get_invzk(GEN nf) { return gel(nf,8); }
2775 : INLINE void
2776 23595 : nf_get_sign(GEN nf, long *r1, long *r2)
2777 : {
2778 23595 : GEN x = gel(nf,2);
2779 23595 : *r1 = itou(gel(x,1));
2780 23595 : *r2 = itou(gel(x,2));
2781 23595 : }
2782 :
2783 : INLINE GEN
2784 432115 : cyc_get_expo(GEN c) { return lg(c) == 1? gen_1: gel(c,1); }
2785 : INLINE GEN
2786 98407 : abgrp_get_no(GEN x) { return gel(x,1); }
2787 : INLINE GEN
2788 2996055 : abgrp_get_cyc(GEN x) { return gel(x,2); }
2789 : INLINE GEN
2790 343460 : abgrp_get_gen(GEN x) { return gel(x,3); }
2791 : INLINE GEN
2792 2342902 : bnf_get_nf(GEN bnf) { return gel(bnf,7); }
2793 : INLINE GEN
2794 1215791 : bnf_get_clgp(GEN bnf) { return gmael(bnf,8,1); }
2795 : INLINE GEN
2796 7294 : bnf_get_no(GEN bnf) { return abgrp_get_no(bnf_get_clgp(bnf)); }
2797 : INLINE GEN
2798 915752 : bnf_get_cyc(GEN bnf) { return abgrp_get_cyc(bnf_get_clgp(bnf)); }
2799 : INLINE GEN
2800 292731 : bnf_get_gen(GEN bnf) { return abgrp_get_gen(bnf_get_clgp(bnf)); }
2801 : INLINE GEN
2802 741 : bnf_get_reg(GEN bnf) { return gmael(bnf,8,2); }
2803 : INLINE GEN
2804 530003 : bnf_get_logfu(GEN bnf) { return gel(bnf,3); }
2805 : INLINE GEN
2806 5667 : bnf_get_sunits(GEN bnf)
2807 5667 : { GEN s = gmael(bnf,8,3); return typ(s) == t_INT? NULL: s; }
2808 : INLINE GEN
2809 39019 : bnf_get_tuU(GEN bnf) { return gmael3(bnf,8,4,2); }
2810 : INLINE long
2811 40495 : bnf_get_tuN(GEN bnf) { return gmael3(bnf,8,4,1)[2]; }
2812 : INLINE GEN
2813 38864 : bnf_get_fu_nocheck(GEN bnf) { return gmael(bnf,8,5); }
2814 : INLINE GEN
2815 1897 : bnf_get_fu(GEN bnf) {
2816 1897 : GEN fu = bnf_build_units(bnf), nf = bnf_get_nf(bnf);
2817 : long i, l;
2818 1897 : if (typ(fu) == t_MAT) pari_err(e_MISC,"missing units in bnf");
2819 1897 : l = lg(fu)-1; fu = vecslice(fu, 2, l);
2820 4242 : for (i = 1; i < l; i++) gel(fu,i) = nf_to_scalar_or_alg(nf, gel(fu,i));
2821 1897 : return fu;
2822 : }
2823 :
2824 : INLINE GEN
2825 884175 : bnr_get_bnf(GEN bnr) { return gel(bnr,1); }
2826 : INLINE GEN
2827 501605 : bnr_get_bid(GEN bnr) { return gel(bnr,2); }
2828 : INLINE GEN
2829 23744 : bnr_get_mod(GEN bnr) { return gmael(bnr,2,1); }
2830 : INLINE GEN
2831 134442 : bnr_get_nf(GEN bnr) { return gmael(bnr,1,7); }
2832 : INLINE GEN
2833 746906 : bnr_get_clgp(GEN bnr) { return gel(bnr,5); }
2834 : INLINE GEN
2835 84406 : bnr_get_no(GEN bnr) { return abgrp_get_no(bnr_get_clgp(bnr)); }
2836 : INLINE GEN
2837 646162 : bnr_get_cyc(GEN bnr) { return abgrp_get_cyc(bnr_get_clgp(bnr)); }
2838 : INLINE GEN
2839 70 : bnr_get_gen_nocheck(GEN bnr) { return abgrp_get_gen(bnr_get_clgp(bnr)); }
2840 : INLINE GEN
2841 14812 : bnr_get_gen(GEN bnr) {
2842 14812 : GEN G = bnr_get_clgp(bnr);
2843 14812 : if (lg(G) != 4)
2844 7 : pari_err(e_MISC,"missing bnr generators: please use bnrinit(,,1)");
2845 14805 : return gel(G,3);
2846 : }
2847 :
2848 : INLINE GEN
2849 296224 : bid_get_mod(GEN bid) { return gel(bid,1); }
2850 : INLINE GEN
2851 64757 : bid_get_ideal(GEN bid) { return gmael(bid,1,1); }
2852 : INLINE GEN
2853 2695 : bid_get_arch(GEN bid) { return gmael(bid,1,2); }
2854 : INLINE GEN
2855 1276851 : bid_get_grp(GEN bid) { return gel(bid,2); }
2856 : INLINE GEN
2857 504075 : bid_get_fact(GEN bid) { return gmael(bid,3,1); }
2858 : INLINE GEN
2859 432556 : bid_get_fact2(GEN bid) { return gmael(bid,3,2); }
2860 : INLINE GEN
2861 431632 : bid_get_sprk(GEN bid) { return gmael(bid,4,1); }
2862 : INLINE GEN
2863 49084 : bid_get_sarch(GEN bid) { return gmael(bid,4,2); }
2864 : INLINE GEN
2865 468053 : bid_get_archp(GEN bid) { return gmael3(bid,4,2,2); }
2866 : INLINE GEN
2867 728115 : bid_get_U(GEN bid) { return gel(bid,5); }
2868 : INLINE GEN
2869 0 : bid_get_no(GEN bid) { return abgrp_get_no(bid_get_grp(bid)); }
2870 : INLINE GEN
2871 1229412 : bid_get_cyc(GEN bid) { return abgrp_get_cyc(bid_get_grp(bid)); }
2872 : INLINE GEN
2873 0 : bid_get_gen_nocheck(GEN bid) { return abgrp_get_gen(bid_get_grp(bid)); }
2874 : INLINE GEN
2875 46858 : bid_get_gen(GEN bid) {
2876 46858 : GEN G = bid_get_grp(bid);
2877 46858 : if (lg(G) != 4) pari_err(e_MISC,"missing bid generators. Use idealstar(,,2)");
2878 46858 : return abgrp_get_gen(G);
2879 : }
2880 :
2881 : INLINE GEN
2882 26240935 : znstar_get_N(GEN G) { return gmael(G,1,1); }
2883 : INLINE GEN
2884 3215772 : znstar_get_faN(GEN G) { return gel(G,3); }
2885 : INLINE GEN
2886 7 : znstar_get_no(GEN G) { return abgrp_get_no(gel(G,2)); }
2887 : INLINE GEN
2888 191107 : znstar_get_cyc(GEN G) { return abgrp_get_cyc(gel(G,2)); }
2889 : INLINE GEN
2890 7 : znstar_get_gen(GEN G) { return abgrp_get_gen(gel(G,2)); }
2891 : INLINE GEN
2892 3892917 : znstar_get_conreycyc(GEN G) { return gmael(G,4,5); }
2893 : INLINE GEN
2894 1386273 : znstar_get_conreygen(GEN G) { return gmael(G,4,4); }
2895 : INLINE GEN
2896 45927 : znstar_get_Ui(GEN G) { return gmael(G,4,3); }
2897 : INLINE GEN
2898 120162 : znstar_get_U(GEN G) { return gel(G,5); }
2899 : INLINE GEN
2900 989737 : znstar_get_pe(GEN G) { return gmael(G,4,1); }
2901 : INLINE GEN
2902 20881 : gal_get_pol(GEN gal) { return gel(gal,1); }
2903 : INLINE GEN
2904 1470 : gal_get_p(GEN gal) { return gmael(gal,2,1); }
2905 : INLINE GEN
2906 119 : gal_get_e(GEN gal) { return gmael(gal,2,2); }
2907 : INLINE GEN
2908 16170 : gal_get_mod(GEN gal) { return gmael(gal,2,3); }
2909 : INLINE GEN
2910 17255 : gal_get_roots(GEN gal) { return gel(gal,3); }
2911 : INLINE GEN
2912 16779 : gal_get_invvdm(GEN gal) { return gel(gal,4); }
2913 : INLINE GEN
2914 16779 : gal_get_den(GEN gal) { return gel(gal,5); }
2915 : INLINE GEN
2916 68251 : gal_get_group(GEN gal) { return gel(gal,6); }
2917 : INLINE GEN
2918 1813 : gal_get_gen(GEN gal) { return gel(gal,7); }
2919 : INLINE GEN
2920 1456 : gal_get_orders(GEN gal) { return gel(gal,8); }
2921 :
2922 : /* assume rnf a genuine rnf */
2923 : INLINE long
2924 1232903 : rnf_get_degree(GEN rnf) { return degpol(rnf_get_pol(rnf)); }
2925 : INLINE long
2926 16688 : rnf_get_nfdegree(GEN rnf) { return degpol(nf_get_pol(rnf_get_nf(rnf))); }
2927 : INLINE long
2928 775320 : rnf_get_absdegree(GEN rnf) { return degpol(gmael(rnf,11,1)); }
2929 : INLINE GEN
2930 700 : rnf_get_idealdisc(GEN rnf) { return gmael(rnf,3,1); }
2931 : INLINE GEN
2932 749 : rnf_get_k(GEN rnf) { return gmael(rnf,11,3); }
2933 : INLINE GEN
2934 812 : rnf_get_alpha(GEN rnf) { return gmael(rnf, 11, 2); }
2935 : INLINE GEN
2936 424172 : rnf_get_nf(GEN rnf) { return gel(rnf,10); }
2937 : INLINE GEN
2938 3829 : rnf_get_nfzk(GEN rnf) { return gel(rnf,2); }
2939 : INLINE GEN
2940 209160 : rnf_get_polabs(GEN rnf) { return gmael(rnf,11,1); }
2941 : INLINE GEN
2942 1478967 : rnf_get_pol(GEN rnf) { return gel(rnf,1); }
2943 : INLINE GEN
2944 175 : rnf_get_disc(GEN rnf) { return gel(rnf,3); }
2945 : INLINE GEN
2946 105 : rnf_get_index(GEN rnf) { return gel(rnf,4); }
2947 : INLINE GEN
2948 1568 : rnf_get_ramified_primes(GEN rnf) { return gel(rnf,5); }
2949 : INLINE long
2950 231 : rnf_get_varn(GEN rnf) { return varn(gel(rnf,1)); }
2951 : INLINE GEN
2952 188314 : rnf_get_nfpol(GEN rnf) { return gmael(rnf,10,1); }
2953 : INLINE long
2954 3332 : rnf_get_nfvarn(GEN rnf) { return varn(gmael(rnf,10,1)); }
2955 : INLINE GEN
2956 3507 : rnf_get_zk(GEN rnf) { return gel(rnf,7); }
2957 : INLINE GEN
2958 102697 : rnf_get_map(GEN rnf) { return gel(rnf,11); }
2959 : INLINE GEN
2960 1197 : rnf_get_invzk(GEN rnf) { return gel(rnf,8); }
2961 :
2962 : /* I integral ZM (not HNF), G ZM, rounded Cholesky form of a weighted
2963 : * T2 matrix. Reduce I wrt G */
2964 : INLINE GEN
2965 22218 : idealpseudored(GEN I, GEN G)
2966 22218 : { return ZM_mul(I, ZM_lll(ZM_mul(G, I), 0.99, LLL_IM)); }
2967 :
2968 : /* I integral (not necessarily HNF), G ZM, rounded Cholesky form of a weighted
2969 : * T2 matrix. Return m in I with T2(m) small */
2970 : INLINE GEN
2971 107408 : idealpseudomin(GEN I, GEN G)
2972 : {
2973 107408 : GEN u = ZM_lll(ZM_mul(G, I), 0.99, LLL_IM);
2974 107408 : return ZM_ZC_mul(I, gel(u,1));
2975 : }
2976 : /* I, G as in idealpseudomin. Return an irrational m in I with T2(m) small */
2977 : INLINE GEN
2978 349338 : idealpseudomin_nonscalar(GEN I, GEN G)
2979 : {
2980 349338 : GEN u = ZM_lll(ZM_mul(G, I), 0.99, LLL_IM);
2981 349338 : GEN m = ZM_ZC_mul(I, gel(u,1));
2982 349338 : if (ZV_isscalar(m) && lg(u) > 2) m = ZM_ZC_mul(I, gel(u,2));
2983 349338 : return m;
2984 : }
2985 :
2986 : INLINE GEN
2987 952 : idealred_elt(GEN nf, GEN I) {
2988 952 : pari_sp av = avma;
2989 952 : GEN u = idealpseudomin(I, nf_get_roundG(nf));
2990 952 : return gerepileupto(av, u);
2991 : }
2992 : INLINE GEN
2993 115010 : idealred(GEN nf, GEN I) { return idealred0(nf, I, NULL); }
2994 :
2995 : INLINE GEN
2996 2044 : idealchineseinit(GEN nf, GEN x)
2997 2044 : { return idealchinese(nf,x,NULL); }
2998 :
2999 : /*******************************************************************/
3000 : /* */
3001 : /* CLOSURES */
3002 : /* */
3003 : /*******************************************************************/
3004 235841709 : INLINE long closure_arity(GEN C) { return ((ulong)C[1])&ARITYBITS; }
3005 35402930 : INLINE long closure_is_variadic(GEN C) { return !!(((ulong)C[1])&VARARGBITS); }
3006 195916038 : INLINE const char *closure_codestr(GEN C) { return GSTR(gel(C,2))-1; }
3007 0 : INLINE GEN closure_get_code(GEN C) { return gel(C,2); }
3008 195898863 : INLINE GEN closure_get_oper(GEN C) { return gel(C,3); }
3009 195877940 : INLINE GEN closure_get_data(GEN C) { return gel(C,4); }
3010 10402 : INLINE GEN closure_get_dbg(GEN C) { return gel(C,5); }
3011 24727 : INLINE GEN closure_get_text(GEN C) { return gel(C,6); }
3012 5345583 : INLINE GEN closure_get_frame(GEN C) { return gel(C,7); }
3013 :
3014 : /*******************************************************************/
3015 : /* */
3016 : /* ERRORS */
3017 : /* */
3018 : /*******************************************************************/
3019 : INLINE long
3020 54423 : err_get_num(GEN e) { return e[1]; }
3021 : INLINE GEN
3022 91 : err_get_compo(GEN e, long i) { return gel(e, i+1); }
3023 :
3024 : INLINE void
3025 14 : pari_err_BUG(const char *f) { pari_err(e_BUG,f); }
3026 : INLINE void
3027 7 : pari_err_CONSTPOL(const char *f) { pari_err(e_CONSTPOL, f); }
3028 : INLINE void
3029 70 : pari_err_COPRIME(const char *f, GEN x, GEN y) { pari_err(e_COPRIME, f,x,y); }
3030 : INLINE void
3031 529 : pari_err_DIM(const char *f) { pari_err(e_DIM, f); }
3032 : INLINE void
3033 0 : pari_err_FILE(const char *f, const char *g) { pari_err(e_FILE, f,g); }
3034 : INLINE void
3035 0 : pari_err_FILEDESC(const char *f, long n) { pari_err(e_FILEDESC, f,n); }
3036 : INLINE void
3037 91 : pari_err_FLAG(const char *f) { pari_err(e_FLAG,f); }
3038 : INLINE void
3039 448 : pari_err_IMPL(const char *f) { pari_err(e_IMPL,f); }
3040 : INLINE void
3041 19765 : pari_err_INV(const char *f, GEN x) { pari_err(e_INV,f,x); }
3042 : INLINE void
3043 42 : pari_err_IRREDPOL(const char *f, GEN x) { pari_err(e_IRREDPOL, f,x); }
3044 : INLINE void
3045 2155 : pari_err_DOMAIN(const char *f, const char *v, const char *op, GEN l, GEN x) { pari_err(e_DOMAIN, f,v,op,l,x); }
3046 : INLINE void
3047 200 : pari_err_COMPONENT(const char *f, const char *op, GEN l, GEN x) { pari_err(e_COMPONENT, f,op,l,x); }
3048 : INLINE void
3049 0 : pari_err_MAXPRIME(ulong c) { pari_err(e_MAXPRIME, c); }
3050 : INLINE void
3051 364 : pari_err_OP(const char *f, GEN x, GEN y) { pari_err(e_OP, f,x,y); }
3052 : INLINE void
3053 114 : pari_err_OVERFLOW(const char *f) { pari_err(e_OVERFLOW, f); }
3054 : INLINE void
3055 225 : pari_err_PREC(const char *f) { pari_err(e_PREC,f); }
3056 : INLINE void
3057 0 : pari_err_PACKAGE(const char *f) { pari_err(e_PACKAGE,f); }
3058 : INLINE void
3059 70 : pari_err_PRIME(const char *f, GEN x) { pari_err(e_PRIME, f,x); }
3060 : INLINE void
3061 749 : pari_err_MODULUS(const char *f, GEN x, GEN y) { pari_err(e_MODULUS, f,x,y); }
3062 : INLINE void
3063 49 : pari_err_ROOTS0(const char *f) { pari_err(e_ROOTS0, f); }
3064 : INLINE void
3065 84 : pari_err_SQRTN(const char *f, GEN x) { pari_err(e_SQRTN, f,x); }
3066 : INLINE void
3067 12972 : pari_err_TYPE(const char *f, GEN x) { pari_err(e_TYPE, f,x); }
3068 : INLINE void
3069 3388 : pari_err_TYPE2(const char *f, GEN x, GEN y) { pari_err(e_TYPE2, f,x,y); }
3070 : INLINE void
3071 280 : pari_err_VAR(const char *f, GEN x, GEN y) { pari_err(e_VAR, f,x,y); }
3072 : INLINE void
3073 196 : pari_err_PRIORITY(const char *f, GEN x, const char *op, long v)
3074 196 : { pari_err(e_PRIORITY, f,x,op,v); }
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