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 : /* */
16 : /* CONSTRUCTORS */
17 : /* */
18 : /*******************************************************************/
19 : #define retmkfrac(x,y)\
20 : do { GEN _v = cgetg(3, t_FRAC);\
21 : gel(_v,1) = (x);\
22 : gel(_v,2) = (y); return _v; } while(0)
23 : #define retmkrfrac(x,y)\
24 : do { GEN _v = cgetg(3, t_RFRAC);\
25 : gel(_v,1) = (x);\
26 : gel(_v,2) = (y); return _v; } while(0)
27 : #define retmkintmod(x,y)\
28 : do { GEN _v = cgetg(3, t_INTMOD);\
29 : gel(_v,1) = (y);\
30 : gel(_v,2) = (x); return _v; } while(0)
31 : #define retmkcomplex(x,y)\
32 : do { GEN _v = cgetg(3, t_COMPLEX);\
33 : gel(_v,1) = (x);\
34 : gel(_v,2) = (y); return _v; } while(0)
35 : #define retmkpolmod(x,y)\
36 : do { GEN _v = cgetg(3, t_POLMOD);\
37 : gel(_v,1) = (y);\
38 : gel(_v,2) = (x); return _v; } while(0)
39 : #define retmkvec(x)\
40 : do { GEN _v = cgetg(2, t_VEC);\
41 : gel(_v,1) = (x); return _v; } while(0)
42 : #define retmkvec2(x,y)\
43 : do { GEN _v = cgetg(3, t_VEC);\
44 : gel(_v,1) = (x);\
45 : gel(_v,2) = (y); return _v; } while(0)
46 : #define retmkvec3(x,y,z)\
47 : do { GEN _v = cgetg(4, t_VEC);\
48 : gel(_v,1) = (x);\
49 : gel(_v,2) = (y);\
50 : gel(_v,3) = (z); return _v; } while(0)
51 : #define retmkqfi(x,y,z)\
52 : do { GEN _v = cgetg(4, t_QFI);\
53 : gel(_v,1) = (x);\
54 : gel(_v,2) = (y);\
55 : gel(_v,3) = (z); return _v; } while(0)
56 : #define retmkqfr(x,y,z,d)\
57 : do { GEN _v = cgetg(5, t_QFR);\
58 : gel(_v,1) = (x);\
59 : gel(_v,2) = (y);\
60 : gel(_v,3) = (z);\
61 : gel(_v,4) = (d); return _v; } while(0)
62 : #define retmkquad(x,y,z)\
63 : do { GEN _v = cgetg(4, t_QUAD);\
64 : gel(_v,1) = (x);\
65 : gel(_v,2) = (y);\
66 : gel(_v,3) = (z); return _v; } while(0)
67 : #define retmkvec4(x,y,z,t)\
68 : do { GEN _v = cgetg(5, t_VEC);\
69 : gel(_v,1) = (x);\
70 : gel(_v,2) = (y);\
71 : gel(_v,3) = (z);\
72 : gel(_v,4) = (t); return _v; } while(0)
73 : #define retmkvec5(x,y,z,t,u)\
74 : do { GEN _v = cgetg(6, t_VEC);\
75 : gel(_v,1) = (x);\
76 : gel(_v,2) = (y);\
77 : gel(_v,3) = (z);\
78 : gel(_v,4) = (t);\
79 : gel(_v,5) = (u); return _v; } while(0)
80 : #define retmkcol(x)\
81 : do { GEN _v = cgetg(2, t_COL);\
82 : gel(_v,1) = (x); return _v; } while(0)
83 : #define retmkcol2(x,y)\
84 : do { GEN _v = cgetg(3, t_COL);\
85 : gel(_v,1) = (x);\
86 : gel(_v,2) = (y); return _v; } while(0)
87 : #define retmkcol3(x,y,z)\
88 : do { GEN _v = cgetg(4, t_COL);\
89 : gel(_v,1) = (x);\
90 : gel(_v,2) = (y);\
91 : gel(_v,3) = (z); return _v; } while(0)
92 : #define retmkcol4(x,y,z,t)\
93 : do { GEN _v = cgetg(5, t_COL);\
94 : gel(_v,1) = (x);\
95 : gel(_v,2) = (y);\
96 : gel(_v,3) = (z);\
97 : gel(_v,4) = (t); return _v; } while(0)
98 : #define retmkcol5(x,y,z,t,u)\
99 : do { GEN _v = cgetg(6, t_COL);\
100 : gel(_v,1) = (x);\
101 : gel(_v,2) = (y);\
102 : gel(_v,3) = (z);\
103 : gel(_v,4) = (t);\
104 : gel(_v,5) = (u); return _v; } while(0)
105 : #define retmkcol6(x,y,z,t,u,v)\
106 : do { GEN _v = cgetg(7, t_COL);\
107 : gel(_v,1) = (x);\
108 : gel(_v,2) = (y);\
109 : gel(_v,3) = (z);\
110 : gel(_v,4) = (t);\
111 : gel(_v,5) = (u);\
112 : gel(_v,6) = (v); return _v; } while(0)
113 : #define retmkmat(x)\
114 : do { GEN _v = cgetg(2, t_MAT);\
115 : gel(_v,1) = (x); return _v; } while(0)
116 : #define retmkmat2(x,y)\
117 : do { GEN _v = cgetg(3, t_MAT);\
118 : gel(_v,1) = (x);\
119 : gel(_v,2) = (y); return _v; } while(0)
120 : #define retmkmat3(x,y,z)\
121 : do { GEN _v = cgetg(4, t_MAT);\
122 : gel(_v,1) = (x);\
123 : gel(_v,2) = (y);\
124 : gel(_v,3) = (z); return _v; } while(0)
125 : #define retmkmat4(x,y,z,t)\
126 : do { GEN _v = cgetg(5, t_MAT);\
127 : gel(_v,1) = (x);\
128 : gel(_v,2) = (y);\
129 : gel(_v,3) = (z);\
130 : gel(_v,4) = (t); return _v; } while(0)
131 : #define retmkmat5(x,y,z,t,u)\
132 : do { GEN _v = cgetg(6, t_MAT);\
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); return _v; } while(0)
138 :
139 : INLINE GEN
140 3192119 : mkintmod(GEN x, GEN y) { retmkintmod(x,y); }
141 : INLINE GEN
142 4830 : mkintmodu(ulong x, ulong y) {
143 4830 : GEN v = cgetg(3,t_INTMOD);
144 4830 : gel(v,1) = utoipos(y);
145 4830 : gel(v,2) = utoi(x); return v;
146 : }
147 : INLINE GEN
148 2967237 : mkpolmod(GEN x, GEN y) { retmkpolmod(x,y); }
149 : INLINE GEN
150 22586323 : mkfrac(GEN x, GEN y) { retmkfrac(x,y); }
151 : INLINE GEN
152 32011 : mkfracss(long x, long y) { retmkfrac(stoi(x),utoipos(y)); }
153 : /* q = n/d a t_FRAC or t_INT; recover (n,d) */
154 : INLINE void
155 13566 : Qtoss(GEN q, long *n, long *d)
156 : {
157 13566 : if (typ(q) == t_INT) { *n = itos(q); *d = 1; }
158 2527 : else { *n = itos(gel(q,1)); *d = itou(gel(q,2)); }
159 13566 : }
160 : INLINE GEN
161 71394304 : sstoQ(long n, long d)
162 : {
163 : ulong r;
164 : long g, q;
165 71394304 : if (!n)
166 : {
167 100121 : if (!d) pari_err_INV("sstoQ",gen_0);
168 100121 : return gen_0;
169 : }
170 71294183 : if (d < 0) { d = -d; n = -n; }
171 71294183 : if (d == 1) return stoi(n);
172 71282192 : q = udivuu_rem(labs(n),d,&r);
173 71282192 : if (!r) return n > 0? utoipos(q): utoineg(q);
174 3642368 : g = ugcd(d,r); /* gcd(n,d) */
175 3642368 : if (g != 1) { n /= g; d /= g; }
176 3642368 : retmkfrac(stoi(n), utoi(d));
177 : }
178 :
179 : INLINE GEN
180 15549406 : mkfraccopy(GEN x, GEN y) { retmkfrac(icopy(x), icopy(y)); }
181 : INLINE GEN
182 35 : mkrfrac(GEN x, GEN y) { GEN v = cgetg(3, t_RFRAC);
183 35 : gel(v,1) = x; gel(v,2) = y; return v; }
184 : INLINE GEN
185 7 : mkrfraccopy(GEN x, GEN y) { GEN v = cgetg(3, t_RFRAC);
186 7 : gel(v,1) = gcopy(x); gel(v,2) = gcopy(y); return v; }
187 : INLINE GEN
188 10559769 : mkcomplex(GEN x, GEN y) { retmkcomplex(x,y); }
189 : INLINE GEN
190 452625 : gen_I(void) { return mkcomplex(gen_0, gen_1); }
191 : INLINE GEN
192 270463 : cgetc(long l) { retmkcomplex(cgetr(l), cgetr(l)); }
193 : INLINE GEN
194 105 : mkquad(GEN n, GEN x, GEN y) { GEN v = cgetg(4, t_QUAD);
195 105 : gel(v,1) = n; gel(v,2) = x; gel(v,3) = y; return v; }
196 : /* vecsmall */
197 : INLINE GEN
198 65847101 : mkvecsmall(long x) { GEN v = cgetg(2, t_VECSMALL); v[1] = x; return v; }
199 : INLINE GEN
200 113353544 : mkvecsmall2(long x,long y) { GEN v = cgetg(3, t_VECSMALL);
201 113371580 : v[1]=x; v[2]=y; return v; }
202 : INLINE GEN
203 57319516 : mkvecsmall3(long x,long y,long z) { GEN v = cgetg(4, t_VECSMALL);
204 57313683 : v[1]=x; v[2]=y; v[3]=z; return v; }
205 : INLINE GEN
206 11958494 : mkvecsmall4(long x,long y,long z,long t) { GEN v = cgetg(5, t_VECSMALL);
207 11947096 : v[1]=x; v[2]=y; v[3]=z; v[4]=t; return v; }
208 : INLINE GEN
209 466836 : mkvecsmall5(long x,long y,long z,long t,long u) { GEN v = cgetg(6, t_VECSMALL);
210 466836 : v[1]=x; v[2]=y; v[3]=z; v[4]=t; v[5]=u; return v; }
211 :
212 : INLINE GEN
213 158116 : mkqfi(GEN x, GEN y, GEN z) { retmkqfi(x,y,z); }
214 : /* vec */
215 : INLINE GEN
216 19853741 : mkvec(GEN x) { retmkvec(x); }
217 : INLINE GEN
218 104999086 : mkvec2(GEN x, GEN y) { retmkvec2(x,y); }
219 : INLINE GEN
220 85541542 : mkvec3(GEN x, GEN y, GEN z) { retmkvec3(x,y,z); }
221 : INLINE GEN
222 7373298 : mkvec4(GEN x, GEN y, GEN z, GEN t) { retmkvec4(x,y,z,t); }
223 : INLINE GEN
224 12179773 : mkvec5(GEN x, GEN y, GEN z, GEN t, GEN u) { retmkvec5(x,y,z,t,u); }
225 : INLINE GEN
226 105 : mkvecs(long x) { retmkvec(stoi(x)); }
227 : INLINE GEN
228 23917 : mkvec2s(long x, long y) { retmkvec2(stoi(x),stoi(y)); }
229 : INLINE GEN
230 492724 : mkvec3s(long x, long y, long z) { retmkvec3(stoi(x),stoi(y),stoi(z)); }
231 : INLINE GEN
232 21 : mkvec4s(long x, long y, long z, long t) { retmkvec4(stoi(x),stoi(y),stoi(z),stoi(t)); }
233 : INLINE GEN
234 35350 : mkveccopy(GEN x) { GEN v = cgetg(2, t_VEC); gel(v,1) = gcopy(x); return v; }
235 : INLINE GEN
236 100655 : mkvec2copy(GEN x, GEN y) {
237 100655 : GEN v = cgetg(3,t_VEC); gel(v,1) = gcopy(x); gel(v,2) = gcopy(y); return v; }
238 : /* col */
239 : INLINE GEN
240 2577997 : mkcol(GEN x) { retmkcol(x); }
241 : INLINE GEN
242 26095614 : mkcol2(GEN x, GEN y) { retmkcol2(x,y); }
243 : INLINE GEN
244 42371 : mkcol3(GEN x, GEN y, GEN z) { retmkcol3(x,y,z); }
245 : INLINE GEN
246 0 : mkcol4(GEN x, GEN y, GEN z, GEN t) { retmkcol4(x,y,z,t); }
247 : INLINE GEN
248 0 : mkcol5(GEN x, GEN y, GEN z, GEN t, GEN u) { retmkcol5(x,y,z,t,u); }
249 : INLINE GEN
250 9033 : mkcol6(GEN x, GEN y, GEN z, GEN t, GEN u, GEN v) { retmkcol6(x,y,z,t,u,v); }
251 : INLINE GEN
252 273 : mkcols(long x) { retmkcol(stoi(x)); }
253 : INLINE GEN
254 2179660 : mkcol2s(long x, long y) { retmkcol2(stoi(x),stoi(y)); }
255 : INLINE GEN
256 0 : mkcol3s(long x, long y, long z) { retmkcol3(stoi(x),stoi(y),stoi(z)); }
257 : INLINE GEN
258 0 : mkcol4s(long x, long y, long z, long t) { retmkcol4(stoi(x),stoi(y),stoi(z),stoi(t)); }
259 : INLINE GEN
260 52573 : mkcolcopy(GEN x) { GEN v = cgetg(2, t_COL); gel(v,1) = gcopy(x); return v; }
261 : /* mat */
262 : INLINE GEN
263 2806595 : mkmat(GEN x) { retmkmat(x); }
264 : INLINE GEN
265 32318804 : mkmat2(GEN x, GEN y) { retmkmat2(x,y); }
266 : INLINE GEN
267 2329 : mkmat3(GEN x, GEN y, GEN z) { retmkmat3(x,y,z); }
268 : INLINE GEN
269 0 : mkmat4(GEN x, GEN y, GEN z, GEN t) { retmkmat4(x,y,z,t); }
270 : INLINE GEN
271 0 : mkmat5(GEN x, GEN y, GEN z, GEN t, GEN u) { retmkmat5(x,y,z,t,u); }
272 : INLINE GEN
273 24329 : mkmatcopy(GEN x) { GEN v = cgetg(2, t_MAT); gel(v,1) = gcopy(x); return v; }
274 : INLINE GEN
275 0 : mkerr(long x) { GEN v = cgetg(2, t_ERROR); v[1] = x; return v; }
276 : INLINE GEN
277 97952 : mkoo(void) { GEN v = cgetg(2, t_INFINITY); gel(v,1) = gen_1; return v; }
278 : INLINE GEN
279 18151 : mkmoo(void) { GEN v = cgetg(2, t_INFINITY); gel(v,1) = gen_m1; return v; }
280 : INLINE long
281 136092 : inf_get_sign(GEN x) { return signe(gel(x,1)); }
282 : INLINE GEN
283 12418 : mkmat22s(long a, long b, long c, long d) {retmkmat2(mkcol2s(a,c),mkcol2s(b,d));}
284 : INLINE GEN
285 1533273 : mkmat22(GEN a, GEN b, GEN c, GEN d) { retmkmat2(mkcol2(a,c),mkcol2(b,d)); }
286 :
287 : /* pol */
288 : INLINE GEN
289 1012623 : pol_x(long v) {
290 1012623 : GEN p = cgetg(4, t_POL);
291 1012623 : p[1] = evalsigne(1)|evalvarn(v);
292 1012623 : gel(p,2) = gen_0;
293 1012623 : gel(p,3) = gen_1; return p;
294 : }
295 : /* x^n, assume n >= 0 */
296 : INLINE GEN
297 1695694 : pol_xn(long n, long v) {
298 1695694 : long i, a = n+2;
299 1695694 : GEN p = cgetg(a+1, t_POL);
300 1695694 : p[1] = evalsigne(1)|evalvarn(v);
301 1695694 : for (i = 2; i < a; i++) gel(p,i) = gen_0;
302 1695694 : gel(p,a) = gen_1; return p;
303 : }
304 : /* x^n, no assumption on n */
305 : INLINE GEN
306 287 : pol_xnall(long n, long v)
307 : {
308 287 : if (n < 0) retmkrfrac(gen_1, pol_xn(-n,v));
309 280 : return pol_xn(n, v);
310 : }
311 : INLINE GEN
312 1594856 : pol_1(long v) {
313 1594856 : GEN p = cgetg(3, t_POL);
314 1594852 : p[1] = evalsigne(1)|evalvarn(v);
315 1594852 : gel(p,2) = gen_1; return p;
316 : }
317 : INLINE GEN
318 32987215 : pol_0(long v)
319 : {
320 32987215 : GEN x = cgetg(2,t_POL);
321 32987215 : x[1] = evalvarn(v); return x;
322 : }
323 : #define retconst_vec(n,x)\
324 : do { long _i, _n = (n);\
325 : GEN _v = cgetg(_n+1, t_VEC), _x = (x);\
326 : for (_i = 1; _i <= _n; _i++) gel(_v,_i) = _x;\
327 : return _v; } while(0)
328 : INLINE GEN
329 9147641 : const_vec(long n, GEN x) { retconst_vec(n, x); }
330 : #define retconst_col(n,x)\
331 : do { long _i, _n = (n);\
332 : GEN _v = cgetg(_n+1, t_COL), _x = (x);\
333 : for (_i = 1; _i <= _n; _i++) gel(_v,_i) = _x;\
334 : return _v; } while(0)
335 : INLINE GEN
336 8689341 : const_col(long n, GEN x) { retconst_col(n, x); }
337 : INLINE GEN
338 8665227 : const_vecsmall(long n, long c)
339 : {
340 : long i;
341 8665227 : GEN V = cgetg(n+1,t_VECSMALL);
342 8665461 : for(i=1;i<=n;i++) V[i] = c;
343 8665461 : return V;
344 : }
345 :
346 : /*** ZERO ***/
347 : /* O(p^e) */
348 : INLINE GEN
349 363585 : zeropadic(GEN p, long e)
350 : {
351 363585 : GEN y = cgetg(5,t_PADIC);
352 363585 : gel(y,4) = gen_0;
353 363585 : gel(y,3) = gen_1;
354 363585 : gel(y,2) = icopy(p);
355 363585 : y[1] = evalvalp(e) | _evalprecp(0);
356 363585 : return y;
357 : }
358 : INLINE GEN
359 966 : zeropadic_shallow(GEN p, long e)
360 : {
361 966 : GEN y = cgetg(5,t_PADIC);
362 966 : gel(y,4) = gen_0;
363 966 : gel(y,3) = gen_1;
364 966 : gel(y,2) = p;
365 966 : y[1] = evalvalp(e) | _evalprecp(0);
366 966 : return y;
367 : }
368 : /* O(pol_x(v)^e) */
369 : INLINE GEN
370 144263 : zeroser(long v, long e)
371 : {
372 144263 : GEN x = cgetg(2, t_SER);
373 144263 : x[1] = evalvalp(e) | evalvarn(v); return x;
374 : }
375 : INLINE int
376 5471151 : ser_isexactzero(GEN x)
377 : {
378 5471151 : if (!signe(x)) switch(lg(x))
379 : {
380 136738 : case 2: return 1;
381 854 : case 3: return isexactzero(gel(x,2));
382 : }
383 5333559 : return 0;
384 : }
385 : /* 0 * pol_x(v) */
386 : INLINE GEN
387 15562127 : zeropol(long v) { return pol_0(v); }
388 : /* vector(n) */
389 : INLINE GEN
390 38883653 : zerocol(long n)
391 : {
392 38883653 : GEN y = cgetg(n+1,t_COL);
393 38883937 : long i; for (i=1; i<=n; i++) gel(y,i) = gen_0;
394 38883937 : return y;
395 : }
396 : /* vectorv(n) */
397 : INLINE GEN
398 25183598 : zerovec(long n)
399 : {
400 25183598 : GEN y = cgetg(n+1,t_VEC);
401 25183607 : long i; for (i=1; i<=n; i++) gel(y,i) = gen_0;
402 25183607 : return y;
403 : }
404 : /* matrix(m, n) */
405 : INLINE GEN
406 23453 : zeromat(long m, long n)
407 : {
408 23453 : GEN y = cgetg(n+1,t_MAT);
409 23453 : GEN v = zerocol(m);
410 23453 : long i; for (i=1; i<=n; i++) gel(y,i) = v;
411 23453 : return y;
412 : }
413 : /* = zero_zx, sv is a evalvarn()*/
414 : INLINE GEN
415 929295 : zero_Flx(long sv) { return pol0_Flx(sv); }
416 : INLINE GEN
417 34320542 : zero_Flv(long n)
418 : {
419 34320542 : GEN y = cgetg(n+1,t_VECSMALL);
420 34321789 : long i; for (i=1; i<=n; i++) y[i] = 0;
421 34321789 : return y;
422 : }
423 : /* matrix(m, n) */
424 : INLINE GEN
425 1106103 : zero_Flm(long m, long n)
426 : {
427 1106103 : GEN y = cgetg(n+1,t_MAT);
428 1106083 : GEN v = zero_Flv(m);
429 1106068 : long i; for (i=1; i<=n; i++) gel(y,i) = v;
430 1106068 : return y;
431 : }
432 : /* matrix(m, n) */
433 : INLINE GEN
434 111568 : zero_Flm_copy(long m, long n)
435 : {
436 111568 : GEN y = cgetg(n+1,t_MAT);
437 111551 : long i; for (i=1; i<=n; i++) gel(y,i) = zero_Flv(m);
438 111572 : return y;
439 : }
440 :
441 : INLINE GEN
442 914640 : zero_F2v(long m)
443 : {
444 914640 : long l = nbits2nlong(m);
445 914640 : GEN v = zero_Flv(l+1);
446 914640 : v[1] = m;
447 914640 : return v;
448 : }
449 :
450 : INLINE GEN
451 0 : zero_F2m(long m, long n)
452 : {
453 : long i;
454 0 : GEN M = cgetg(n+1, t_MAT);
455 0 : GEN v = zero_F2v(m);
456 0 : for (i = 1; i <= n; i++)
457 0 : gel(M,i) = v;
458 0 : return M;
459 : }
460 :
461 :
462 : INLINE GEN
463 303980 : zero_F2m_copy(long m, long n)
464 : {
465 : long i;
466 303980 : GEN M = cgetg(n+1, t_MAT);
467 926898 : for (i = 1; i <= n; i++)
468 622918 : gel(M,i)= zero_F2v(m);
469 303980 : return M;
470 : }
471 :
472 : /* matrix(m, n) */
473 : INLINE GEN
474 5082697 : zeromatcopy(long m, long n)
475 : {
476 5082697 : GEN y = cgetg(n+1,t_MAT);
477 5082697 : long i; for (i=1; i<=n; i++) gel(y,i) = zerocol(m);
478 5082697 : return y;
479 : }
480 :
481 : INLINE GEN
482 17605 : zerovec_block(long len)
483 : {
484 : long i;
485 17605 : GEN blk = cgetg_block(len + 1, t_VEC);
486 580965 : for (i = 1; i <= len; ++i)
487 563360 : gel(blk, i) = gen_0;
488 17605 : return blk;
489 : }
490 :
491 : /* i-th vector in the standard basis */
492 : INLINE GEN
493 1523907 : col_ei(long n, long i) { GEN e = zerocol(n); gel(e,i) = gen_1; return e; }
494 : INLINE GEN
495 348079 : vec_ei(long n, long i) { GEN e = zerovec(n); gel(e,i) = gen_1; return e; }
496 : INLINE GEN
497 42 : F2v_ei(long n, long i) { GEN e = zero_F2v(n); F2v_set(e,i); return e; }
498 : INLINE GEN
499 78035 : vecsmall_ei(long n, long i) { GEN e = zero_zv(n); e[i] = 1; return e; }
500 : INLINE GEN
501 708732 : Rg_col_ei(GEN x, long n, long i) { GEN e = zerocol(n); gel(e,i) = x; return e; }
502 :
503 : INLINE GEN
504 12993454 : shallowcopy(GEN x)
505 12993454 : { return typ(x) == t_MAT ? RgM_shallowcopy(x): leafcopy(x); }
506 :
507 : /* routines for naive growarrays */
508 : INLINE GEN
509 12375043 : vectrunc_init(long l)
510 : {
511 12375043 : GEN z = new_chunk(l);
512 12374952 : z[0] = evaltyp(t_VEC) | _evallg(1); return z;
513 : }
514 : INLINE GEN
515 347046 : coltrunc_init(long l)
516 : {
517 347046 : GEN z = new_chunk(l);
518 347046 : z[0] = evaltyp(t_COL) | _evallg(1); return z;
519 : }
520 : INLINE void
521 261916714 : lg_increase(GEN x) { x[0]++; }
522 : INLINE void
523 51353332 : vectrunc_append(GEN x, GEN t) { gel(x, lg(x)) = t; lg_increase(x); }
524 : INLINE void
525 10416 : vectrunc_append_batch(GEN x, GEN y)
526 : {
527 10416 : long i, l = lg(x), ly = lg(y);
528 10416 : GEN z = x + l-1;
529 10416 : for (i = 1; i < ly; i++) gel(z,i) = gel(y,i);
530 10416 : setlg(x, l+ly-1);
531 10416 : }
532 : INLINE GEN
533 86321877 : vecsmalltrunc_init(long l)
534 : {
535 86321877 : GEN z = new_chunk(l);
536 86321877 : z[0] = evaltyp(t_VECSMALL) | _evallg(1); return z;
537 : }
538 : INLINE void
539 33204302 : vecsmalltrunc_append(GEN x, long t) { x[ lg(x) ] = t; lg_increase(x); }
540 :
541 : /*******************************************************************/
542 : /* */
543 : /* STRING HASH FUNCTIONS */
544 : /* */
545 : /*******************************************************************/
546 : INLINE ulong
547 2002796 : hash_str(const char *str)
548 : {
549 2002796 : ulong hash = 5381UL, c;
550 21821334 : while ( (c = (ulong)*str++) )
551 17815742 : hash = ((hash << 5) + hash) + c; /* hash * 33 + c */
552 2002796 : return hash;
553 : }
554 : INLINE ulong
555 9890996 : hash_str_len(const char *str, long len)
556 : {
557 9890996 : ulong hash = 5381UL;
558 : long i;
559 74434785 : for (i = 0; i < len; i++)
560 : {
561 64543789 : ulong c = (ulong)*str++;
562 64543789 : hash = ((hash << 5) + hash) + c; /* hash * 33 + c */
563 : }
564 9890996 : return hash;
565 : }
566 :
567 : /*******************************************************************/
568 : /* */
569 : /* VEC / COL / VECSMALL */
570 : /* */
571 : /*******************************************************************/
572 : /* shallow*/
573 : INLINE GEN
574 0 : vec_shorten(GEN v, long n)
575 : {
576 : long i;
577 0 : GEN V = cgetg(n+1,t_VEC);
578 0 : for(i=1;i<=n;i++) gel(V,i) = gel(v,i);
579 0 : return V;
580 : }
581 : /* shallow*/
582 : INLINE GEN
583 13731 : vec_lengthen(GEN v, long n)
584 : {
585 : long i;
586 13731 : long l=lg(v);
587 13731 : GEN V = cgetg(n+1,t_VEC);
588 13731 : for(i=1;i<l;i++) gel(V,i) = gel(v,i);
589 13731 : return V;
590 : }
591 : /* shallow*/
592 : INLINE GEN
593 92303 : vec_append(GEN V, GEN s)
594 : {
595 92303 : long i, l2 = lg(V);
596 92303 : GEN res = cgetg(l2+1, typ(V));
597 92303 : for (i = 1; i < l2; ++i) gel(res, i) = gel(V,i);
598 92303 : gel(res,l2) = s; return res;
599 : }
600 : /* shallow*/
601 : INLINE GEN
602 3758 : vec_prepend(GEN v, GEN s)
603 : {
604 3758 : long i, l = lg(v);
605 3758 : GEN w = cgetg(l+1, typ(v));
606 3758 : gel(w,1) = s;
607 3758 : for (i = 2; i <= l; ++i) gel(w,i) = gel(v,i-1);
608 3758 : return w;
609 : }
610 : /* shallow*/
611 : INLINE GEN
612 0 : vec_setconst(GEN v, GEN x)
613 : {
614 0 : long i, l = lg(v);
615 0 : for (i = 1; i < l; i++) gel(v,i) = x;
616 0 : return v;
617 : }
618 : INLINE GEN
619 62687 : vecsmall_shorten(GEN v, long n)
620 : {
621 : long i;
622 62687 : GEN V = cgetg(n+1,t_VECSMALL);
623 62690 : for(i=1;i<=n;i++) V[i] = v[i];
624 62690 : return V;
625 : }
626 : INLINE GEN
627 21 : vecsmall_lengthen(GEN v, long n)
628 : {
629 21 : long i, l = lg(v);
630 21 : GEN V = cgetg(n+1,t_VECSMALL);
631 21 : for(i=1;i<l;i++) V[i] = v[i];
632 21 : return V;
633 : }
634 :
635 : INLINE GEN
636 3323969 : vec_to_vecsmall(GEN x)
637 3323969 : { pari_APPLY_long(itos(gel(x,i))) }
638 : INLINE GEN
639 137053 : vecsmall_to_vec(GEN x)
640 137053 : { pari_APPLY_type(t_VEC, stoi(x[i])) }
641 : INLINE GEN
642 742 : vecsmall_to_vec_inplace(GEN z)
643 : {
644 742 : long i, l = lg(z);
645 742 : for (i=1; i<l; i++) gel(z,i) = stoi(z[i]);
646 742 : settyp(z, t_VEC); return z;
647 : }
648 : INLINE GEN
649 5255064 : vecsmall_to_col(GEN x)
650 5255064 : { pari_APPLY_type(t_COL, stoi(x[i])) }
651 :
652 : INLINE int
653 8335166 : vecsmall_lexcmp(GEN x, GEN y)
654 : {
655 : long lx,ly,l,i;
656 8335166 : lx = lg(x);
657 8335166 : ly = lg(y); l = minss(lx,ly);
658 40359414 : for (i=1; i<l; i++)
659 38310666 : if (x[i] != y[i]) return x[i]<y[i]? -1: 1;
660 2048748 : if (lx == ly) return 0;
661 30578 : return (lx < ly)? -1 : 1;
662 : }
663 :
664 : INLINE int
665 85155882 : vecsmall_prefixcmp(GEN x, GEN y)
666 : {
667 85155882 : long i, lx = lg(x), ly = lg(y), l = minss(lx,ly);
668 394028124 : for (i=1; i<l; i++)
669 374395413 : if (x[i] != y[i]) return x[i]<y[i]? -1: 1;
670 19632711 : return 0;
671 : }
672 :
673 : /*Can be used on t_VEC, but coeffs not gcopy-ed*/
674 : INLINE GEN
675 23415 : vecsmall_prepend(GEN V, long s)
676 : {
677 23415 : long i, l2 = lg(V);
678 23415 : GEN res = cgetg(l2+1, typ(V));
679 23415 : res[1] = s;
680 23415 : for (i = 2; i <= l2; ++i) res[i] = V[i - 1];
681 23415 : return res;
682 : }
683 :
684 : INLINE GEN
685 3138543 : vecsmall_append(GEN V, long s)
686 : {
687 3138543 : long i, l2 = lg(V);
688 3138543 : GEN res = cgetg(l2+1, t_VECSMALL);
689 3138542 : for (i = 1; i < l2; ++i) res[i] = V[i];
690 3138542 : res[l2] = s; return res;
691 : }
692 :
693 : INLINE GEN
694 1001604 : vecsmall_concat(GEN u, GEN v)
695 : {
696 1001604 : long i, l1 = lg(u)-1, l2 = lg(v)-1;
697 1001604 : GEN res = cgetg(l1+l2+1, t_VECSMALL);
698 1001604 : for (i = 1; i <= l1; ++i) res[i] = u[i];
699 1001604 : for (i = 1; i <= l2; ++i) res[i+l1] = v[i];
700 1001604 : return res;
701 : }
702 :
703 : /* return the number of indices where u and v are equal */
704 : INLINE long
705 0 : vecsmall_coincidence(GEN u, GEN v)
706 : {
707 0 : long i, s = 0, l = minss(lg(u),lg(v));
708 0 : for(i=1; i<l; i++)
709 0 : if(u[i] == v[i]) s++;
710 0 : return s;
711 : }
712 :
713 : /* returns the first index i<=n such that x=v[i] if it exists, 0 otherwise */
714 : INLINE long
715 0 : vecsmall_isin(GEN v, long x)
716 : {
717 0 : long i, l = lg(v);
718 0 : for (i = 1; i < l; i++)
719 0 : if (v[i] == x) return i;
720 0 : return 0;
721 : }
722 :
723 : INLINE long
724 84 : vecsmall_pack(GEN V, long base, long mod)
725 : {
726 84 : long i, s = 0;
727 84 : for(i=1; i<lg(V); i++) s = (base*s + V[i]) % mod;
728 84 : return s;
729 : }
730 :
731 : INLINE long
732 14 : vecsmall_indexmax(GEN x)
733 : {
734 14 : long i, i0 = 1, t = x[1], lx = lg(x);
735 56 : for (i=2; i<lx; i++)
736 42 : if (x[i] > t) t = x[i0=i];
737 14 : return i0;
738 : }
739 :
740 : INLINE long
741 203176 : vecsmall_max(GEN x)
742 : {
743 203176 : long i, t = x[1], lx = lg(x);
744 694668 : for (i=2; i<lx; i++)
745 491492 : if (x[i] > t) t = x[i];
746 203176 : return t;
747 : }
748 :
749 : INLINE long
750 14 : vecsmall_indexmin(GEN x)
751 : {
752 14 : long i, i0 = 1, t = x[1], lx =lg(x);
753 56 : for (i=2; i<lx; i++)
754 42 : if (x[i] < t) t = x[i0=i];
755 14 : return i0;
756 : }
757 :
758 : INLINE long
759 1421 : vecsmall_min(GEN x)
760 : {
761 1421 : long i, t = x[1], lx =lg(x);
762 9947 : for (i=2; i<lx; i++)
763 8526 : if (x[i] < t) t = x[i];
764 1421 : return t;
765 : }
766 :
767 : INLINE int
768 5216725 : ZV_isscalar(GEN x)
769 : {
770 5216725 : long l = lg(x);
771 14987693 : while (--l > 1)
772 8619970 : if (signe(gel(x, l))) return 0;
773 1150998 : return 1;
774 : }
775 : INLINE int
776 21641508 : QV_isscalar(GEN x)
777 : {
778 21641508 : long lx = lg(x),i;
779 23323891 : for (i=2; i<lx; i++)
780 22694722 : if (!isintzero(gel(x, i))) return 0;
781 629169 : return 1;
782 : }
783 : INLINE int
784 7812 : RgV_isscalar(GEN x)
785 : {
786 7812 : long lx = lg(x),i;
787 11649 : for (i=2; i<lx; i++)
788 10264 : if (!gequal0(gel(x, i))) return 0;
789 1385 : return 1;
790 : }
791 : INLINE int
792 0 : RgX_isscalar(GEN x)
793 : {
794 : long i;
795 0 : for (i=lg(x)-1; i>2; i--)
796 0 : if (!gequal0(gel(x, i))) return 0;
797 0 : return 1;
798 : }
799 : INLINE long
800 28847398 : RgX_equal_var(GEN x, GEN y) { return varn(x) == varn(y) && RgX_equal(x,y); }
801 :
802 : INLINE int
803 7638 : RgX_is_rational(GEN x)
804 : {
805 : long i;
806 34739 : for (i = lg(x)-1; i > 1; i--)
807 32239 : if (!is_rational_t(typ(gel(x,i)))) return 0;
808 2500 : return 1;
809 : }
810 : INLINE int
811 4704306 : RgX_is_ZX(GEN x)
812 : {
813 : long i;
814 20342196 : for (i = lg(x)-1; i > 1; i--)
815 15690493 : if (typ(gel(x,i)) != t_INT) return 0;
816 4651703 : return 1;
817 : }
818 : INLINE int
819 273742 : RgX_is_QX(GEN x)
820 : {
821 273742 : long k = lg(x)-1;
822 1001925 : for ( ; k>1; k--)
823 728456 : if (!is_rational_t(typ(gel(x,k)))) return 0;
824 273469 : return 1;
825 : }
826 : INLINE int
827 2346076 : RgX_is_monomial(GEN x)
828 : {
829 : long i;
830 2346076 : if (!signe(x)) return 0;
831 5855799 : for (i=lg(x)-2; i>1; i--)
832 3562363 : if (!isexactzero(gel(x,i))) return 0;
833 2293436 : return 1;
834 : }
835 : INLINE int
836 27494732 : RgV_is_ZV(GEN x)
837 : {
838 : long i;
839 112659066 : for (i = lg(x)-1; i > 0; i--)
840 85166833 : if (typ(gel(x,i)) != t_INT) return 0;
841 27492233 : return 1;
842 : }
843 : INLINE int
844 23313 : RgV_is_QV(GEN x)
845 : {
846 : long i;
847 104038 : for (i = lg(x)-1; i > 0; i--)
848 82356 : if (!is_rational_t(typ(gel(x,i)))) return 0;
849 21682 : return 1;
850 : }
851 : INLINE long
852 22162 : RgV_isin_i(GEN v, GEN x, long n)
853 : {
854 : long i;
855 409010 : for (i = 1; i <= n; i++)
856 408597 : if (gequal(gel(v,i), x)) return i;
857 413 : return 0;
858 : }
859 : INLINE long
860 21917 : RgV_isin(GEN v, GEN x) { return RgV_isin_i(v, x, lg(v)-1); }
861 :
862 : /********************************************************************/
863 : /** **/
864 : /** Dynamic arrays implementation **/
865 : /** **/
866 : /********************************************************************/
867 : INLINE void **
868 463299290 : pari_stack_base(pari_stack *s) { return s->data; }
869 :
870 : INLINE void
871 2360141 : pari_stack_init(pari_stack *s, size_t size, void **data)
872 : {
873 2360141 : s->data = data;
874 2360141 : *data = NULL;
875 2360141 : s->n = 0;
876 2360141 : s->alloc = 0;
877 2360141 : s->size = size;
878 2360141 : }
879 :
880 : INLINE void
881 461170718 : pari_stack_alloc(pari_stack *s, long nb)
882 : {
883 461170718 : void **sdat = pari_stack_base(s);
884 461098974 : long alloc = s->alloc;
885 461098974 : if (s->n+nb <= alloc) return;
886 955744 : if (!alloc)
887 894782 : alloc = nb;
888 : else
889 : {
890 60962 : while (s->n+nb > alloc) alloc <<= 1;
891 : }
892 955744 : *sdat = pari_realloc(*sdat,alloc*s->size);
893 957041 : s->alloc = alloc;
894 : }
895 :
896 : INLINE long
897 379843551 : pari_stack_new(pari_stack *s) { pari_stack_alloc(s, 1); return s->n++; }
898 :
899 : INLINE void
900 2156468 : pari_stack_delete(pari_stack *s)
901 : {
902 2156468 : void **sdat = pari_stack_base(s);
903 2151222 : if (*sdat) pari_free(*sdat);
904 2166675 : }
905 :
906 : INLINE void
907 4871 : pari_stack_pushp(pari_stack *s, void *u)
908 : {
909 4871 : long n = pari_stack_new(s);
910 4871 : void **sdat =(void**) *pari_stack_base(s);
911 4871 : sdat[n] = u;
912 4871 : }
913 :
914 : /*******************************************************************/
915 : /* */
916 : /* EXTRACT */
917 : /* */
918 : /*******************************************************************/
919 : INLINE GEN
920 304635353 : vecslice(GEN A, long y1, long y2)
921 : {
922 304635353 : long i,lB = y2 - y1 + 2;
923 304635353 : GEN B = cgetg(lB, typ(A));
924 304685410 : for (i=1; i<lB; i++) B[i] = A[y1-1+i];
925 304685410 : return B;
926 : }
927 : INLINE GEN
928 958915 : vecslicepermute(GEN A, GEN p, long y1, long y2)
929 : {
930 958915 : long i,lB = y2 - y1 + 2;
931 958915 : GEN B = cgetg(lB, typ(A));
932 958939 : for (i=1; i<lB; i++) B[i] = A[p[y1-1+i]];
933 958939 : return B;
934 : }
935 : /* rowslice(rowpermute(A,p), x1, x2) */
936 : INLINE GEN
937 44180 : rowslicepermute(GEN x, GEN p, long j1, long j2)
938 44180 : { pari_APPLY_same(vecslicepermute(gel(x,i),p,j1,j2)) }
939 :
940 : INLINE GEN
941 30131564 : rowslice(GEN x, long j1, long j2)
942 30131564 : { pari_APPLY_same(vecslice(gel(x,i), j1, j2)) }
943 :
944 : INLINE GEN
945 8049454 : matslice(GEN A, long x1, long x2, long y1, long y2)
946 8049454 : { return rowslice(vecslice(A, y1, y2), x1, x2); }
947 :
948 : /* shallow, remove coeff of index j */
949 : INLINE GEN
950 133 : rowsplice(GEN x, long j)
951 133 : { pari_APPLY_same(vecsplice(gel(x,i), j)) }
952 :
953 : /* shallow, remove coeff of index j */
954 : INLINE GEN
955 264783 : vecsplice(GEN a, long j)
956 : {
957 264783 : long i, k, l = lg(a);
958 : GEN b;
959 264783 : if (l == 1) pari_err(e_MISC, "incorrect component in vecsplice");
960 264783 : b = cgetg(l-1, typ(a));
961 1056576 : for (i = k = 1; i < l; i++)
962 791793 : if (i != j) gel(b, k++) = gel(a,i);
963 264783 : return b;
964 : }
965 : /* shallow */
966 : INLINE GEN
967 833 : RgM_minor(GEN a, long i, long j)
968 : {
969 833 : GEN b = vecsplice(a, j);
970 833 : long k, l = lg(b);
971 833 : for (k = 1; k < l; k++) gel(b,k) = vecsplice(gel(b,k), i);
972 833 : return b;
973 : }
974 :
975 : /* A[x0,] */
976 : INLINE GEN
977 390532 : row(GEN x, long j)
978 390532 : { pari_APPLY_type(t_VEC, gcoeff(x, j, i)) }
979 : INLINE GEN
980 4299949 : Flm_row(GEN x, long j)
981 4299949 : { pari_APPLY_ulong((ulong)coeff(x, j, i)) }
982 : /* A[x0,] */
983 : INLINE GEN
984 204834 : rowcopy(GEN x, long j)
985 204834 : { pari_APPLY_type(t_VEC, gcopy(gcoeff(x, j, i))) }
986 : /* A[x0, x1..x2] */
987 : INLINE GEN
988 3038 : row_i(GEN A, long x0, long x1, long x2)
989 : {
990 3038 : long i, lB = x2 - x1 + 2;
991 3038 : GEN B = cgetg(lB, t_VEC);
992 3038 : for (i=x1; i<=x2; i++) gel(B, i) = gcoeff(A, x0, i);
993 3038 : return B;
994 : }
995 :
996 : INLINE GEN
997 5830581 : vecreverse(GEN A)
998 : {
999 : long i, l;
1000 5830581 : GEN B = cgetg_copy(A, &l);
1001 5830581 : for (i=1; i<l; i++) gel(B, i) = gel(A, l-i);
1002 5830581 : return B;
1003 : }
1004 :
1005 : INLINE GEN
1006 539 : vecsmall_reverse(GEN A)
1007 : {
1008 : long i, l;
1009 539 : GEN B = cgetg_copy(A, &l);
1010 539 : for (i=1; i<l; i++) B[i] = A[l-i];
1011 539 : return B;
1012 : }
1013 :
1014 : INLINE void
1015 253 : vecreverse_inplace(GEN y)
1016 : {
1017 253 : long l = lg(y), lim = l>>1, i;
1018 717 : for (i = 1; i <= lim; i++)
1019 : {
1020 464 : GEN z = gel(y,i);
1021 464 : gel(y,i) = gel(y,l-i);
1022 464 : gel(y,l-i) = z;
1023 : }
1024 253 : }
1025 :
1026 : INLINE GEN
1027 50822555 : vecsmallpermute(GEN A, GEN p) { return perm_mul(A, p); }
1028 :
1029 : INLINE GEN
1030 6499777 : vecpermute(GEN A, GEN x)
1031 6499777 : { pari_APPLY_type(typ(A), gel(A, x[i])) }
1032 :
1033 : INLINE GEN
1034 3475895 : rowpermute(GEN x, GEN p)
1035 3475895 : { pari_APPLY_same(typ(gel(x,i)) == t_VECSMALL ? vecsmallpermute(gel(x, i), p)
1036 : : vecpermute(gel(x, i), p))
1037 : }
1038 : /*******************************************************************/
1039 : /* */
1040 : /* PERMUTATIONS */
1041 : /* */
1042 : /*******************************************************************/
1043 : INLINE GEN
1044 816424 : identity_zv(long n)
1045 : {
1046 816424 : GEN v = cgetg(n+1, t_VECSMALL);
1047 : long i;
1048 816402 : for (i = 1; i <= n; i++) v[i] = i;
1049 816402 : return v;
1050 : }
1051 : INLINE GEN
1052 2177 : identity_ZV(long n)
1053 : {
1054 2177 : GEN v = cgetg(n+1, t_VEC);
1055 : long i;
1056 2177 : for (i = 1; i <= n; i++) gel(v,i) = utoipos(i);
1057 2177 : return v;
1058 : }
1059 : /* identity permutation */
1060 : INLINE GEN
1061 815929 : identity_perm(long n) { return identity_zv(n); }
1062 :
1063 : /* assume d <= n */
1064 : INLINE GEN
1065 98434 : cyclic_perm(long n, long d)
1066 : {
1067 98434 : GEN perm = cgetg(n+1, t_VECSMALL);
1068 : long i;
1069 98434 : for (i = 1; i <= n-d; i++) perm[i] = i+d;
1070 98434 : for ( ; i <= n; i++) perm[i] = i-n+d;
1071 98434 : return perm;
1072 : }
1073 :
1074 : /* Multiply (compose) two permutations */
1075 : INLINE GEN
1076 52149271 : perm_mul(GEN s, GEN x)
1077 52149271 : { pari_APPLY_long(s[x[i]]) }
1078 :
1079 : /* Compute the inverse (reciprocal) of a permutation. */
1080 : INLINE GEN
1081 1260019 : perm_inv(GEN x)
1082 : {
1083 : long i, lx;
1084 1260019 : GEN y = cgetg_copy(x, &lx);
1085 1260019 : for (i=1; i<lx; i++) y[ x[i] ] = i;
1086 1260019 : return y;
1087 : }
1088 : /* Return s*t*s^-1 */
1089 : INLINE GEN
1090 416976 : perm_conj(GEN s, GEN t)
1091 : {
1092 : long i, l;
1093 416976 : GEN v = cgetg_copy(s, &l);
1094 416976 : for (i = 1; i < l; i++) v[ s[i] ] = s[ t[i] ];
1095 416976 : return v;
1096 : }
1097 :
1098 : /*********************************************************************/
1099 : /* MALLOC/FREE WRAPPERS */
1100 : /*********************************************************************/
1101 : #define BLOCK_SIGALRM_START \
1102 : { \
1103 : int block=PARI_SIGINT_block; \
1104 : PARI_SIGINT_block = 2; \
1105 : MT_SIGINT_BLOCK(block);
1106 :
1107 : #define BLOCK_SIGINT_START \
1108 : { \
1109 : int block=PARI_SIGINT_block; \
1110 : PARI_SIGINT_block = 1; \
1111 : MT_SIGINT_BLOCK(block);
1112 :
1113 : #define BLOCK_SIGINT_END \
1114 : PARI_SIGINT_block = block; \
1115 : MT_SIGINT_UNBLOCK(block); \
1116 : if (!block && PARI_SIGINT_pending) \
1117 : { \
1118 : int sig = PARI_SIGINT_pending; \
1119 : PARI_SIGINT_pending = 0; \
1120 : raise(sig); \
1121 : } \
1122 : }
1123 :
1124 : INLINE void
1125 97953738 : pari_free(void *pointer)
1126 : {
1127 97953738 : BLOCK_SIGINT_START;
1128 97983599 : free(pointer);
1129 97983599 : BLOCK_SIGINT_END;
1130 97977921 : }
1131 : INLINE void*
1132 308236067 : pari_malloc(size_t size)
1133 : {
1134 308236067 : if (size)
1135 : {
1136 : char *tmp;
1137 308236067 : BLOCK_SIGINT_START;
1138 308241472 : tmp = (char*)malloc(size);
1139 308241472 : BLOCK_SIGINT_END;
1140 308240509 : if (!tmp) pari_err(e_MEM);
1141 308240509 : return tmp;
1142 : }
1143 0 : return NULL;
1144 : }
1145 : INLINE void*
1146 970484 : pari_realloc(void *pointer, size_t size)
1147 : {
1148 : char *tmp;
1149 :
1150 970484 : BLOCK_SIGINT_START;
1151 975359 : if (!pointer) tmp = (char *) malloc(size);
1152 65352 : else tmp = (char *) realloc(pointer,size);
1153 975359 : BLOCK_SIGINT_END;
1154 973412 : if (!tmp) pari_err(e_MEM);
1155 973412 : return tmp;
1156 : }
1157 : INLINE void*
1158 37589 : pari_calloc(size_t size)
1159 : {
1160 37589 : void *t = pari_malloc(size);
1161 37589 : memset(t, 0, size); return t;
1162 : }
1163 : INLINE GEN
1164 5873 : cgetalloc(long t, size_t l)
1165 : { /* evallg may raise e_OVERFLOW, which would leak x */
1166 5873 : ulong x0 = evaltyp(t) | evallg(l);
1167 5873 : GEN x = (GEN)pari_malloc(l * sizeof(long));
1168 5873 : x[0] = x0; return x;
1169 : }
1170 :
1171 : /*******************************************************************/
1172 : /* */
1173 : /* GARBAGE COLLECTION */
1174 : /* */
1175 : /*******************************************************************/
1176 : /* copy integer x as if we had set_avma(av) */
1177 : INLINE GEN
1178 3986272864 : icopy_avma(GEN x, pari_sp av)
1179 : {
1180 3986272864 : long i = lgefint(x), lx = i;
1181 3986272864 : GEN y = ((GEN)av) - i;
1182 3986272864 : while (--i > 0) y[i] = x[i];
1183 3986272864 : y[0] = evaltyp(t_INT)|evallg(lx);
1184 3985979689 : return y;
1185 : }
1186 : /* copy leaf x as if we had set_avma(av) */
1187 : INLINE GEN
1188 188627022 : leafcopy_avma(GEN x, pari_sp av)
1189 : {
1190 188627022 : long i = lg(x);
1191 188627022 : GEN y = ((GEN)av) - i;
1192 188627022 : while (--i > 0) y[i] = x[i];
1193 188627022 : y[0] = x[0] & (~CLONEBIT);
1194 188627022 : return y;
1195 : }
1196 : INLINE GEN
1197 672639966 : gerepileuptoleaf(pari_sp av, GEN x)
1198 : {
1199 : long lx;
1200 : GEN q;
1201 :
1202 672639966 : if (!isonstack(x) || (GEN)av<=x) { set_avma(av); return x; }
1203 672584643 : lx = lg(x);
1204 672584643 : q = ((GEN)av) - lx;
1205 672584643 : set_avma((pari_sp)q);
1206 673691238 : while (--lx >= 0) q[lx] = x[lx];
1207 673691238 : return q;
1208 : }
1209 : INLINE GEN
1210 1425136383 : gerepileuptoint(pari_sp av, GEN x)
1211 : {
1212 1425136383 : if (!isonstack(x) || (GEN)av<=x) { set_avma(av); return x; }
1213 1248232440 : set_avma((pari_sp)icopy_avma(x, av));
1214 1250318743 : return (GEN)avma;
1215 : }
1216 : INLINE GEN
1217 780306094 : gerepileupto(pari_sp av, GEN x)
1218 : {
1219 780306094 : if (!isonstack(x) || (GEN)av<=x) { set_avma(av); return x; }
1220 703789038 : switch(typ(x))
1221 : { /* non-default = !is_recursive_t(tq) */
1222 229292633 : case t_INT: return gerepileuptoint(av, x);
1223 : case t_REAL:
1224 : case t_STR:
1225 150063130 : case t_VECSMALL: return gerepileuptoleaf(av,x);
1226 : default:
1227 : /* NB: x+i --> ((long)x) + i*sizeof(long) */
1228 324433275 : return gerepile(av, (pari_sp) (x+lg(x)), x);
1229 : }
1230 : }
1231 : INLINE double
1232 2603595 : gc_double(pari_sp av, double d) { set_avma(av); return d; }
1233 : INLINE long
1234 112398057 : gc_long(pari_sp av, long s) { set_avma(av); return s; }
1235 : INLINE ulong
1236 13891450 : gc_ulong(pari_sp av, ulong s) { set_avma(av); return s; }
1237 : INLINE int
1238 23559727 : gc_bool(pari_sp av, int s) { set_avma(av); return s; }
1239 : INLINE int
1240 3382345 : gc_int(pari_sp av, int s) { set_avma(av); return s; }
1241 : INLINE GEN
1242 1700997 : gc_NULL(pari_sp av) { set_avma(av); return NULL; }
1243 :
1244 : /* gerepileupto(av, gcopy(x)) */
1245 : INLINE GEN
1246 64876921 : gerepilecopy(pari_sp av, GEN x)
1247 : {
1248 64876921 : if (is_recursive_t(typ(x)))
1249 : {
1250 60193976 : GENbin *p = copy_bin(x);
1251 60194652 : set_avma(av); return bin_copy(p);
1252 : }
1253 : else
1254 : {
1255 4682953 : set_avma(av);
1256 4682957 : if (x < (GEN)av) {
1257 3195410 : if (x < (GEN)pari_mainstack->bot) new_chunk(lg(x));
1258 3195410 : x = leafcopy_avma(x, av);
1259 3195427 : set_avma((pari_sp)x);
1260 : } else
1261 1487547 : x = leafcopy(x);
1262 4682969 : return x;
1263 : }
1264 : }
1265 :
1266 : INLINE void
1267 29177633 : guncloneNULL(GEN x) { if (x) gunclone(x); }
1268 : INLINE void
1269 198220 : guncloneNULL_deep(GEN x) { if (x) gunclone_deep(x); }
1270 :
1271 : /* Takes an array of pointers to GENs, of length n. Copies all
1272 : * objects to contiguous locations and cleans up the stack between
1273 : * av and avma. */
1274 : INLINE void
1275 203212 : gerepilemany(pari_sp av, GEN* gptr[], int n)
1276 : {
1277 : int i;
1278 203212 : for (i=0; i<n; i++) *gptr[i] = (GEN)copy_bin(*gptr[i]);
1279 203212 : set_avma(av);
1280 203212 : for (i=0; i<n; i++) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1281 203212 : }
1282 :
1283 : INLINE void
1284 14530189 : gerepileall(pari_sp av, int n, ...)
1285 : {
1286 : int i;
1287 14530189 : va_list a; va_start(a, n);
1288 14530189 : if (n < 10)
1289 : {
1290 : GEN *gptr[10];
1291 42567340 : for (i=0; i<n; i++)
1292 28037083 : { gptr[i] = va_arg(a,GEN*); *gptr[i] = (GEN)copy_bin(*gptr[i]); }
1293 14530257 : set_avma(av);
1294 14530168 : for (--i; i>=0; i--) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1295 :
1296 : }
1297 : else
1298 : {
1299 0 : GEN **gptr = (GEN**) pari_malloc(n*sizeof(GEN*));
1300 0 : for (i=0; i<n; i++)
1301 0 : { gptr[i] = va_arg(a,GEN*); *gptr[i] = (GEN)copy_bin(*gptr[i]); }
1302 0 : set_avma(av);
1303 0 : for (--i; i>=0; i--) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1304 0 : pari_free(gptr);
1305 : }
1306 14530351 : va_end(a);
1307 14530351 : }
1308 :
1309 : INLINE void
1310 6 : gerepilecoeffs(pari_sp av, GEN x, int n)
1311 : {
1312 : int i;
1313 6 : for (i=0; i<n; i++) gel(x,i) = (GEN)copy_bin(gel(x,i));
1314 6 : set_avma(av);
1315 6 : for (i=0; i<n; i++) gel(x,i) = bin_copy((GENbin*)x[i]);
1316 6 : }
1317 :
1318 : /* p from copy_bin. Copy p->x back to stack, then destroy p */
1319 : INLINE GEN
1320 88872374 : bin_copy(GENbin *p)
1321 : {
1322 : GEN x, y, base;
1323 : long dx, len;
1324 :
1325 88872374 : x = p->x; if (!x) { pari_free(p); return gen_0; }
1326 88865105 : len = p->len;
1327 88865105 : base= p->base; dx = x - base;
1328 88865105 : y = (GEN)memcpy((void*)new_chunk(len), (void*)GENbinbase(p), len*sizeof(long));
1329 88864982 : y += dx;
1330 88864982 : p->rebase(y, ((ulong)y-(ulong)x));
1331 88864967 : pari_free(p); return y;
1332 : }
1333 :
1334 : INLINE GEN
1335 177738012 : GENbinbase(GENbin *p) { return (GEN)(p + 1); }
1336 :
1337 : INLINE void
1338 32498230 : cgiv(GEN x)
1339 : {
1340 32498230 : pari_sp av = (pari_sp)(x+lg(x));
1341 32498230 : if (isonstack((GEN)av)) set_avma(av);
1342 32497943 : }
1343 :
1344 : INLINE void
1345 1317383 : killblock(GEN x) { gunclone(x); }
1346 :
1347 : INLINE int
1348 29417927 : is_universal_constant(GEN x) { return (x >= gen_0 && x <= ghalf); }
1349 :
1350 : /*******************************************************************/
1351 : /* */
1352 : /* CONVERSION / ASSIGNMENT */
1353 : /* */
1354 : /*******************************************************************/
1355 : /* z is a type which may be a t_COMPLEX component (not a t_QUAD) */
1356 : INLINE GEN
1357 3796879 : cxcompotor(GEN z, long prec)
1358 : {
1359 3796879 : switch(typ(z))
1360 : {
1361 2151524 : case t_INT: return itor(z, prec);
1362 136668 : case t_FRAC: return fractor(z, prec);
1363 1508687 : case t_REAL: return rtor(z, prec);
1364 0 : default: pari_err_TYPE("cxcompotor",z);
1365 : return NULL; /* LCOV_EXCL_LINE */
1366 : }
1367 : }
1368 : INLINE GEN
1369 1884342 : cxtofp(GEN x, long prec)
1370 1884342 : { retmkcomplex(cxcompotor(gel(x,1),prec), cxcompotor(gel(x,2),prec)); }
1371 :
1372 : INLINE GEN
1373 262724 : cxtoreal(GEN q)
1374 262724 : { return (typ(q) == t_COMPLEX && gequal0(gel(q,2)))? gel(q,1): q; }
1375 :
1376 : INLINE double
1377 28107136 : gtodouble(GEN x)
1378 : {
1379 28107136 : if (typ(x)!=t_REAL) {
1380 5753750 : pari_sp av = avma;
1381 5753750 : x = gtofp(x, DEFAULTPREC);
1382 5753144 : if (typ(x)!=t_REAL) pari_err_TYPE("gtodouble [t_REAL expected]", x);
1383 5753144 : set_avma(av);
1384 : }
1385 28106350 : return rtodbl(x);
1386 : }
1387 : INLINE long
1388 73430620 : gtos(GEN x) {
1389 73430620 : if (typ(x) != t_INT) pari_err_TYPE("gtos [integer expected]",x);
1390 73430613 : return itos(x);
1391 : }
1392 :
1393 : INLINE ulong
1394 152392 : gtou(GEN x) {
1395 152392 : if (typ(x) != t_INT || signe(x)<0)
1396 0 : pari_err_TYPE("gtou [integer >=0 expected]",x);
1397 152411 : return itou(x);
1398 : }
1399 :
1400 : INLINE GEN
1401 23891453 : absfrac(GEN x)
1402 : {
1403 23891453 : GEN y = cgetg(3, t_FRAC);
1404 23891453 : gel(y,1) = absi(gel(x,1));
1405 23891453 : gel(y,2) = icopy(gel(x,2)); return y;
1406 : }
1407 : INLINE GEN
1408 38594 : absfrac_shallow(GEN x)
1409 38594 : { return signe(gel(x,1))>0? x: mkfrac(negi(gel(x,1)), gel(x,2)); }
1410 : INLINE GEN
1411 7879478 : Q_abs(GEN x) { return (typ(x) == t_INT)? absi(x): absfrac(x); }
1412 : INLINE GEN
1413 141111 : Q_abs_shallow(GEN x)
1414 141111 : { return (typ(x) == t_INT)? absi_shallow(x): absfrac_shallow(x); }
1415 : INLINE GEN
1416 12600 : R_abs_shallow(GEN x)
1417 12600 : { return (typ(x) == t_FRAC)? absfrac_shallow(x): mpabs_shallow(x); }
1418 : INLINE GEN
1419 0 : R_abs(GEN x)
1420 0 : { return (typ(x) == t_FRAC)? absfrac(x): mpabs(x); }
1421 :
1422 : /* Force z to be of type real/complex with floating point components */
1423 : INLINE GEN
1424 33186489 : gtofp(GEN z, long prec)
1425 : {
1426 33186489 : switch(typ(z))
1427 : {
1428 21233099 : case t_INT: return itor(z, prec);
1429 4301974 : case t_FRAC: return fractor(z, prec);
1430 6003671 : case t_REAL: return rtor(z, prec);
1431 : case t_COMPLEX: {
1432 1647745 : GEN a = gel(z,1), b = gel(z,2);
1433 1647745 : if (isintzero(b)) return cxcompotor(a, prec);
1434 1645014 : if (isintzero(a)) {
1435 3214 : GEN y = cgetg(3, t_COMPLEX);
1436 3214 : b = cxcompotor(b, prec);
1437 3214 : gel(y,1) = real_0_bit(expo(b) - prec2nbits(prec));
1438 3214 : gel(y,2) = b; return y;
1439 : }
1440 1641800 : return cxtofp(z, prec);
1441 : }
1442 0 : case t_QUAD: return quadtofp(z, prec);
1443 0 : default: pari_err_TYPE("gtofp",z);
1444 : return NULL; /* LCOV_EXCL_LINE */
1445 : }
1446 : }
1447 : /* Force z to be of type real / int */
1448 : INLINE GEN
1449 22428 : gtomp(GEN z, long prec)
1450 : {
1451 22428 : switch(typ(z))
1452 : {
1453 42 : case t_INT: return z;
1454 22386 : case t_FRAC: return fractor(z, prec);
1455 0 : case t_REAL: return rtor(z, prec);
1456 0 : case t_QUAD: z = quadtofp(z, prec);
1457 0 : if (typ(z) == t_REAL) return z;
1458 0 : default: pari_err_TYPE("gtomp",z);
1459 : return NULL; /* LCOV_EXCL_LINE */
1460 : }
1461 : }
1462 :
1463 : INLINE GEN
1464 866718 : RgX_gtofp(GEN x, long prec)
1465 : {
1466 : long l;
1467 866718 : GEN y = cgetg_copy(x, &l);
1468 866718 : while (--l > 1) gel(y,l) = gtofp(gel(x,l), prec);
1469 866718 : y[1] = x[1]; return y;
1470 : }
1471 : INLINE GEN
1472 1210234 : RgC_gtofp(GEN x, long prec)
1473 1210234 : { pari_APPLY_type(t_COL, gtofp(gel(x,i), prec)) }
1474 :
1475 : INLINE GEN
1476 42 : RgV_gtofp(GEN x, long prec)
1477 42 : { pari_APPLY_type(t_VEC, gtofp(gel(x,i), prec)) }
1478 :
1479 : INLINE GEN
1480 137277 : RgM_gtofp(GEN x, long prec)
1481 137277 : { pari_APPLY_same(RgC_gtofp(gel(x,i), prec)) }
1482 :
1483 : INLINE GEN
1484 574 : RgC_gtomp(GEN x, long prec)
1485 574 : { pari_APPLY_type(t_COL, gtomp(gel(x,i), prec)) }
1486 :
1487 : INLINE GEN
1488 21 : RgM_gtomp(GEN x, long prec)
1489 21 : { pari_APPLY_same(RgC_gtomp(gel(x,i), prec)) }
1490 :
1491 : INLINE GEN
1492 10011 : RgX_fpnorml2(GEN x, long prec)
1493 : {
1494 10011 : pari_sp av = avma;
1495 10011 : return gerepileupto(av, gnorml2(RgX_gtofp(x, prec)));
1496 : }
1497 : INLINE GEN
1498 189862 : RgC_fpnorml2(GEN x, long prec)
1499 : {
1500 189862 : pari_sp av = avma;
1501 189862 : return gerepileupto(av, gnorml2(RgC_gtofp(x, prec)));
1502 : }
1503 : INLINE GEN
1504 4146 : RgM_fpnorml2(GEN x, long prec)
1505 : {
1506 4146 : pari_sp av = avma;
1507 4146 : return gerepileupto(av, gnorml2(RgM_gtofp(x, prec)));
1508 : }
1509 :
1510 : /* y a t_REAL */
1511 : INLINE void
1512 216244 : affgr(GEN x, GEN y)
1513 : {
1514 : pari_sp av;
1515 216244 : switch(typ(x)) {
1516 5992 : case t_INT: affir(x,y); break;
1517 210252 : case t_REAL: affrr(x,y); break;
1518 0 : case t_FRAC: rdiviiz(gel(x,1),gel(x,2), y); break;
1519 0 : case t_QUAD: av = avma; affgr(quadtofp(x,realprec(y)), y); set_avma(av); break;
1520 0 : default: pari_err_TYPE2("=",x,y);
1521 : }
1522 216244 : }
1523 :
1524 : INLINE GEN
1525 232495 : affc_fixlg(GEN x, GEN res)
1526 : {
1527 232495 : if (typ(x) == t_COMPLEX)
1528 : {
1529 207529 : affrr_fixlg(gel(x,1), gel(res,1));
1530 207529 : affrr_fixlg(gel(x,2), gel(res,2));
1531 : }
1532 : else
1533 : {
1534 24966 : set_avma((pari_sp)(res+3));
1535 24966 : res = cgetr(realprec(gel(res,1)));
1536 24966 : affrr_fixlg(x, res);
1537 : }
1538 232495 : return res;
1539 : }
1540 :
1541 : INLINE GEN
1542 0 : trunc_safe(GEN x) { long e; return gcvtoi(x,&e); }
1543 :
1544 : /*******************************************************************/
1545 : /* */
1546 : /* LENGTH CONVERSIONS */
1547 : /* */
1548 : /*******************************************************************/
1549 : INLINE long
1550 32891 : ndec2nlong(long x) { return 1 + (long)((x)*(LOG2_10/BITS_IN_LONG)); }
1551 : INLINE long
1552 24403 : ndec2prec(long x) { return 2 + ndec2nlong(x); }
1553 : INLINE long
1554 8488 : ndec2nbits(long x) { return ndec2nlong(x) << TWOPOTBITS_IN_LONG; }
1555 : /* Fast implementation of ceil(x / (8*sizeof(long))); typecast to (ulong)
1556 : * to avoid overflow. Faster than 1 + ((x-1)>>TWOPOTBITS_IN_LONG)) :
1557 : * addl, shrl instead of subl, sarl, addl */
1558 : INLINE long
1559 1260692 : nbits2nlong(long x) {
1560 1260692 : return (long)(((ulong)x+BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1561 : }
1562 :
1563 : INLINE long
1564 299525163 : nbits2extraprec(long x) {
1565 299525163 : return (long)(((ulong)x+BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1566 : }
1567 :
1568 : /* Fast implementation of 2 + nbits2nlong(x) */
1569 : INLINE long
1570 111375860 : nbits2prec(long x) {
1571 111375860 : return (long)(((ulong)x+3*BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1572 : }
1573 : INLINE long
1574 21394868 : nbits2lg(long x) {
1575 21394868 : return (long)(((ulong)x+3*BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1576 : }
1577 : /* ceil(x / sizeof(long)) */
1578 : INLINE long
1579 15342836 : nchar2nlong(long x) {
1580 15342836 : return (long)(((ulong)x+sizeof(long)-1) >> (TWOPOTBITS_IN_LONG-3L));
1581 : }
1582 : INLINE long
1583 1187309001 : prec2nbits(long x) { return (x-2) * BITS_IN_LONG; }
1584 : INLINE double
1585 520810 : bit_accuracy_mul(long x, double y) { return (x-2) * (BITS_IN_LONG*y); }
1586 : INLINE double
1587 258700 : prec2nbits_mul(long x, double y) { return (x-2) * (BITS_IN_LONG*y); }
1588 : INLINE long
1589 34476162 : bit_prec(GEN x) { return prec2nbits(realprec(x)); }
1590 : INLINE long
1591 1071288132 : bit_accuracy(long x) { return prec2nbits(x); }
1592 : INLINE long
1593 12476 : prec2ndec(long x) { return (long)prec2nbits_mul(x, LOG10_2); }
1594 : INLINE long
1595 200 : nbits2ndec(long x) { return (long)(x * LOG10_2); }
1596 : INLINE long
1597 3289 : precdbl(long x) {return (x - 1) << 1;}
1598 : INLINE long
1599 3529382241 : divsBIL(long n) { return n >> TWOPOTBITS_IN_LONG; }
1600 : INLINE long
1601 3483472197 : remsBIL(long n) { return n & (BITS_IN_LONG-1); }
1602 :
1603 : /*********************************************************************/
1604 : /** **/
1605 : /** OPERATIONS MODULO m **/
1606 : /** **/
1607 : /*********************************************************************/
1608 : /* Assume m > 0, more efficient if 0 <= a, b < m */
1609 :
1610 : INLINE GEN
1611 37866504 : Fp_red(GEN a, GEN m) { return modii(a, m); }
1612 : INLINE GEN
1613 93224906 : Fp_add(GEN a, GEN b, GEN m)
1614 : {
1615 93224906 : pari_sp av=avma;
1616 93224906 : GEN p = addii(a,b);
1617 91758580 : long s = signe(p);
1618 91758580 : if (!s) return p; /* = gen_0 */
1619 80496408 : if (s > 0) /* general case */
1620 : {
1621 80270038 : GEN t = subii(p, m);
1622 81273391 : s = signe(t);
1623 81273391 : if (!s) { set_avma(av); return gen_0; }
1624 72549540 : if (s < 0) { set_avma((pari_sp)p); return p; }
1625 30899420 : if (cmpii(t, m) < 0) return gerepileuptoint(av, t); /* general case ! */
1626 1115028 : p = remii(t, m);
1627 : }
1628 : else
1629 226370 : p = modii(p, m);
1630 1341398 : return gerepileuptoint(av, p);
1631 : }
1632 : INLINE GEN
1633 60539818 : Fp_sub(GEN a, GEN b, GEN m)
1634 : {
1635 60539818 : pari_sp av=avma;
1636 60539818 : GEN p = subii(a,b);
1637 59862471 : long s = signe(p);
1638 59862471 : if (!s) return p; /* = gen_0 */
1639 52215288 : if (s > 0)
1640 : {
1641 25228878 : if (cmpii(p, m) < 0) return p; /* general case ! */
1642 1123895 : p = remii(p, m);
1643 : }
1644 : else
1645 : {
1646 26986410 : GEN t = addii(p, m);
1647 26926364 : if (!s) { set_avma(av); return gen_0; }
1648 26926364 : if (s > 0) return gerepileuptoint(av, t); /* general case ! */
1649 26926364 : p = modii(t, m);
1650 : }
1651 28584647 : return gerepileuptoint(av, p);
1652 : }
1653 : INLINE GEN
1654 13675087 : Fp_neg(GEN b, GEN m)
1655 : {
1656 13675087 : pari_sp av = avma;
1657 13675087 : long s = signe(b);
1658 : GEN p;
1659 13675087 : if (!s) return gen_0;
1660 10173245 : if (s > 0)
1661 : {
1662 9972866 : p = subii(m, b);
1663 9969257 : if (signe(p) >= 0) return p; /* general case ! */
1664 104951 : p = modii(p, m);
1665 : } else
1666 200379 : p = remii(negi(b), m);
1667 305330 : return gerepileuptoint(av, p);
1668 : }
1669 :
1670 : INLINE GEN
1671 23613 : Fp_halve(GEN a, GEN p)
1672 : {
1673 23613 : if (mpodd(a)) a = addii(a,p);
1674 23613 : return shifti(a,-1);
1675 : }
1676 :
1677 : /* assume 0 <= u < p and ps2 = p>>1 */
1678 : INLINE GEN
1679 22543704 : Fp_center(GEN u, GEN p, GEN ps2)
1680 22543704 : { return abscmpii(u,ps2)<=0? icopy(u): subii(u,p); }
1681 : /* same without copy */
1682 : INLINE GEN
1683 14772674 : Fp_center_i(GEN u, GEN p, GEN ps2)
1684 14772674 : { return abscmpii(u,ps2)<=0? u: subii(u,p); }
1685 :
1686 : /* x + y*z mod p */
1687 : INLINE GEN
1688 5938216 : Fp_addmul(GEN x, GEN y, GEN z, GEN p)
1689 : {
1690 : pari_sp av;
1691 5938216 : if (!signe(y) || !signe(z)) return Fp_red(x, p);
1692 5639916 : if (!signe(x)) return Fp_mul(z,y, p);
1693 5325461 : av = avma;
1694 5325461 : return gerepileuptoint(av, modii(addii(x, mulii(y,z)), p));
1695 : }
1696 :
1697 : INLINE GEN
1698 97059200 : Fp_mul(GEN a, GEN b, GEN m)
1699 : {
1700 97059200 : pari_sp av=avma;
1701 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1702 97059200 : (void)new_chunk(lg(a)+lg(b)+(lg(m)<<1));
1703 97061662 : p = mulii(a,b);
1704 97183442 : set_avma(av); return modii(p,m);
1705 : }
1706 : INLINE GEN
1707 34528642 : Fp_sqr(GEN a, GEN m)
1708 : {
1709 34528642 : pari_sp av=avma;
1710 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1711 34528642 : (void)new_chunk((lg(a)+lg(m))<<1);
1712 34507613 : p = sqri(a);
1713 31328803 : set_avma(av); return remii(p,m); /*Use remii: p >= 0 */
1714 : }
1715 : INLINE GEN
1716 68278754 : Fp_mulu(GEN a, ulong b, GEN m)
1717 : {
1718 68278754 : long l = lgefint(m);
1719 68278754 : if (l == 3)
1720 : {
1721 42183158 : ulong mm = m[2];
1722 42183158 : return utoi( Fl_mul(umodiu(a, mm), b, mm) );
1723 : } else {
1724 26095596 : pari_sp av = avma;
1725 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1726 26095596 : (void)new_chunk(lg(a)+1+(l<<1));
1727 26072441 : p = muliu(a,b);
1728 24438547 : set_avma(av); return modii(p,m);
1729 : }
1730 : }
1731 : INLINE GEN
1732 0 : Fp_muls(GEN a, long b, GEN m)
1733 : {
1734 0 : long l = lgefint(m);
1735 0 : if (l == 3)
1736 : {
1737 0 : ulong mm = m[2];
1738 0 : if (b < 0)
1739 : {
1740 0 : ulong t = Fl_mul(umodiu(a, mm), -b, mm);
1741 0 : return t? utoipos(mm - t): gen_0;
1742 : }
1743 : else
1744 0 : return utoi( Fl_mul(umodiu(a, mm), b, mm) );
1745 : } else {
1746 0 : pari_sp av = avma;
1747 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1748 0 : (void)new_chunk(lg(a)+1+(l<<1));
1749 0 : p = mulis(a,b);
1750 0 : set_avma(av); return modii(p,m);
1751 : }
1752 : }
1753 :
1754 : INLINE GEN
1755 10224111 : Fp_inv(GEN a, GEN m)
1756 : {
1757 : GEN res;
1758 10224111 : if (! invmod(a,m,&res)) pari_err_INV("Fp_inv", mkintmod(res,m));
1759 10223575 : return res;
1760 : }
1761 : INLINE GEN
1762 330150 : Fp_invsafe(GEN a, GEN m)
1763 : {
1764 : GEN res;
1765 330150 : if (! invmod(a,m,&res)) return NULL;
1766 330150 : return res;
1767 : }
1768 : INLINE GEN
1769 1721925 : Fp_div(GEN a, GEN b, GEN m)
1770 : {
1771 1721925 : pari_sp av = avma;
1772 : GEN p;
1773 1721925 : if (lgefint(b) == 3)
1774 : {
1775 734591 : a = Fp_divu(a, b[2], m);
1776 734591 : if (signe(b) < 0) a = Fp_neg(a, m);
1777 734591 : return a;
1778 : }
1779 : /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1780 987334 : (void)new_chunk(lg(a)+(lg(m)<<1));
1781 987334 : p = mulii(a, Fp_inv(b,m));
1782 987334 : set_avma(av); return modii(p,m);
1783 : }
1784 : INLINE GEN
1785 1846193 : Fp_divu(GEN x, ulong a, GEN p)
1786 : {
1787 1846193 : pari_sp av = avma;
1788 : ulong b;
1789 1846193 : if (lgefint(p) == 3)
1790 : {
1791 1427842 : ulong pp = p[2], xp = umodiu(x, pp);
1792 1427842 : return xp? utoipos(Fl_div(xp, a % pp, pp)): gen_0;
1793 : }
1794 418351 : x = Fp_red(x, p);
1795 418351 : b = Fl_neg(Fl_div(umodiu(x,a), umodiu(p,a), a), a); /* x + pb = 0 (mod a) */
1796 418359 : return gerepileuptoint(av, diviuexact(addmuliu(x, p, b), a));
1797 : }
1798 :
1799 : INLINE GEN
1800 847844 : Flx_mulu(GEN x, ulong a, ulong p) { return Flx_Fl_mul(x,a%p,p); }
1801 :
1802 : INLINE GEN
1803 1833993 : get_F2x_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1804 :
1805 : INLINE long
1806 2251715 : get_F2x_var(GEN T) { return typ(T)==t_VEC? mael(T,2,1): T[1]; }
1807 :
1808 : INLINE long
1809 1901926 : get_F2x_degree(GEN T) { return typ(T)==t_VEC? F2x_degree(gel(T,2)): F2x_degree(T); }
1810 :
1811 : INLINE GEN
1812 399 : get_F2xqX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1813 :
1814 : INLINE long
1815 376761 : get_F2xqX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1816 :
1817 : INLINE long
1818 201845 : get_F2xqX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1819 :
1820 : INLINE GEN
1821 7708566 : get_Flx_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1822 :
1823 : INLINE long
1824 20595214 : get_Flx_var(GEN T) { return typ(T)==t_VEC? mael(T,2,1): T[1]; }
1825 :
1826 : INLINE long
1827 39271774 : get_Flx_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1828 :
1829 : INLINE GEN
1830 2482 : get_FlxqX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1831 :
1832 : INLINE long
1833 222159 : get_FlxqX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1834 :
1835 : INLINE long
1836 277937 : get_FlxqX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1837 :
1838 : INLINE GEN
1839 1662413 : get_FpX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1840 :
1841 : INLINE long
1842 4114479 : get_FpX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1843 :
1844 : INLINE long
1845 2912193 : get_FpX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1846 :
1847 : INLINE GEN
1848 142586 : get_FpXQX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1849 :
1850 : INLINE long
1851 57495 : get_FpXQX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1852 :
1853 : INLINE long
1854 2259 : get_FpXQX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1855 :
1856 : /*******************************************************************/
1857 : /* */
1858 : /* ADDMULII / SUBMULII */
1859 : /* */
1860 : /*******************************************************************/
1861 : /* x - y*z */
1862 : INLINE GEN
1863 341046 : submulii(GEN x, GEN y, GEN z)
1864 : {
1865 341046 : long lx = lgefint(x), ly, lz;
1866 : pari_sp av;
1867 : GEN t;
1868 341046 : if (lx == 2) { t = mulii(z,y); togglesign(t); return t; }
1869 297169 : ly = lgefint(y);
1870 297169 : if (ly == 2) return icopy(x);
1871 250104 : lz = lgefint(z);
1872 250104 : av = avma; (void)new_chunk(lx+ly+lz); /* HACK */
1873 250104 : t = mulii(z, y);
1874 250104 : set_avma(av); return subii(x,t);
1875 : }
1876 : /* y*z - x */
1877 : INLINE GEN
1878 1375295 : mulsubii(GEN y, GEN z, GEN x)
1879 : {
1880 1375295 : long lx = lgefint(x), ly, lz;
1881 : pari_sp av;
1882 : GEN t;
1883 1375295 : if (lx == 2) return mulii(z,y);
1884 862784 : ly = lgefint(y);
1885 862784 : if (ly == 2) return negi(x);
1886 790614 : lz = lgefint(z);
1887 790614 : av = avma; (void)new_chunk(lx+ly+lz); /* HACK */
1888 790614 : t = mulii(z, y);
1889 790614 : set_avma(av); return subii(t,x);
1890 : }
1891 :
1892 : /* x - u*y */
1893 : INLINE GEN
1894 7595 : submuliu(GEN x, GEN y, ulong u)
1895 : {
1896 : pari_sp av;
1897 7595 : long ly = lgefint(y);
1898 7595 : if (ly == 2) return icopy(x);
1899 7595 : av = avma;
1900 7595 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1901 7595 : y = mului(u,y);
1902 7595 : set_avma(av); return subii(x, y);
1903 : }
1904 : /* x + u*y */
1905 : INLINE GEN
1906 426315 : addmuliu(GEN x, GEN y, ulong u)
1907 : {
1908 : pari_sp av;
1909 426315 : long ly = lgefint(y);
1910 426315 : if (ly == 2) return icopy(x);
1911 426315 : av = avma;
1912 426315 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1913 426315 : y = mului(u,y);
1914 426309 : set_avma(av); return addii(x, y);
1915 : }
1916 : /* x - u*y */
1917 : INLINE GEN
1918 126125667 : submuliu_inplace(GEN x, GEN y, ulong u)
1919 : {
1920 : pari_sp av;
1921 126125667 : long ly = lgefint(y);
1922 126125667 : if (ly == 2) return x;
1923 100922956 : av = avma;
1924 100922956 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1925 100922956 : y = mului(u,y);
1926 100922956 : set_avma(av); return subii(x, y);
1927 : }
1928 : /* x + u*y */
1929 : INLINE GEN
1930 124481698 : addmuliu_inplace(GEN x, GEN y, ulong u)
1931 : {
1932 : pari_sp av;
1933 124481698 : long ly = lgefint(y);
1934 124481698 : if (ly == 2) return x;
1935 100751486 : av = avma;
1936 100751486 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1937 100751486 : y = mului(u,y);
1938 100751486 : set_avma(av); return addii(x, y);
1939 : }
1940 : /* ux + vy */
1941 : INLINE GEN
1942 21945620 : lincombii(GEN u, GEN v, GEN x, GEN y)
1943 : {
1944 21945620 : long lx = lgefint(x), ly;
1945 : GEN p1, p2;
1946 : pari_sp av;
1947 21945620 : if (lx == 2) return mulii(v,y);
1948 15398875 : ly = lgefint(y);
1949 15398875 : if (ly == 2) return mulii(u,x);
1950 14122285 : av = avma; (void)new_chunk(lx+ly+lgefint(u)+lgefint(v)); /* HACK */
1951 14122291 : p1 = mulii(u,x);
1952 14122035 : p2 = mulii(v,y);
1953 14122018 : set_avma(av); return addii(p1,p2);
1954 : }
1955 :
1956 : /*******************************************************************/
1957 : /* */
1958 : /* GEN SUBTYPES */
1959 : /* */
1960 : /*******************************************************************/
1961 :
1962 : INLINE int
1963 1268331648 : is_const_t(long t) { return (t < t_POLMOD); }
1964 : INLINE int
1965 6767 : is_extscalar_t(long t) { return (t <= t_POL); }
1966 : INLINE int
1967 1255945 : is_intreal_t(long t) { return (t <= t_REAL); }
1968 : INLINE int
1969 414487916 : is_matvec_t(long t) { return (t >= t_VEC && t <= t_MAT); }
1970 : INLINE int
1971 60474241 : is_noncalc_t(long tx) { return (tx) >= t_LIST; }
1972 : INLINE int
1973 1314105 : is_rational_t(long t) { return (t == t_INT || t == t_FRAC); }
1974 : INLINE int
1975 524702 : is_real_t(long t) { return (t == t_INT || t == t_REAL || t == t_FRAC); }
1976 : INLINE int
1977 3234785874 : is_recursive_t(long t) { return lontyp[t]; }
1978 : INLINE int
1979 173256669 : is_scalar_t(long t) { return (t < t_POL); }
1980 : INLINE int
1981 1545530 : is_vec_t(long t) { return (t == t_VEC || t == t_COL); }
1982 :
1983 : /*******************************************************************/
1984 : /* */
1985 : /* TRANSCENDENTAL */
1986 : /* */
1987 : /*******************************************************************/
1988 : INLINE GEN
1989 21566226 : sqrtr(GEN x) {
1990 21566226 : long s = signe(x);
1991 21566226 : if (s == 0) return real_0_bit(expo(x) >> 1);
1992 21532796 : if (s >= 0) return sqrtr_abs(x);
1993 38082 : retmkcomplex(gen_0, sqrtr_abs(x));
1994 : }
1995 : INLINE GEN
1996 0 : cbrtr_abs(GEN x) { return sqrtnr_abs(x, 3); }
1997 : INLINE GEN
1998 0 : cbrtr(GEN x) {
1999 0 : long s = signe(x);
2000 : GEN r;
2001 0 : if (s == 0) return real_0_bit(expo(x) / 3);
2002 0 : r = cbrtr_abs(x);
2003 0 : if (s < 0) togglesign(r);
2004 0 : return r;
2005 : }
2006 : INLINE GEN
2007 469676 : sqrtnr(GEN x, long n) {
2008 469676 : long s = signe(x);
2009 : GEN r;
2010 469676 : if (s == 0) return real_0_bit(expo(x) / n);
2011 469676 : r = sqrtnr_abs(x, n);
2012 469676 : if (s < 0) pari_err_IMPL("sqrtnr for x < 0");
2013 469676 : return r;
2014 : }
2015 : INLINE long
2016 229869 : logint(GEN B, GEN y) { return logintall(B,y,NULL); }
2017 : INLINE ulong
2018 2002442 : ulogint(ulong B, ulong y)
2019 : {
2020 : ulong r;
2021 : long e;
2022 2002442 : if (y == 2) return expu(B);
2023 1984298 : r = y;
2024 6404167 : for (e=1;; e++)
2025 : { /* here, r = y^e, r2 = y^(e-1) */
2026 10824036 : if (r >= B) return r == B? e: e-1;
2027 4419864 : r = umuluu_or_0(y, r);
2028 4419869 : if (!r) return e;
2029 : }
2030 : }
2031 :
2032 : /*******************************************************************/
2033 : /* */
2034 : /* MISCELLANEOUS */
2035 : /* */
2036 : /*******************************************************************/
2037 1255868 : INLINE int ismpzero(GEN x) { return is_intreal_t(typ(x)) && !signe(x); }
2038 733527162 : INLINE int isintzero(GEN x) { return typ(x) == t_INT && !signe(x); }
2039 5771386 : INLINE int isint1(GEN x) { return typ(x)==t_INT && equali1(x); }
2040 4711 : INLINE int isintm1(GEN x){ return typ(x)==t_INT && equalim1(x);}
2041 728939279 : INLINE int equali1(GEN n)
2042 728939279 : { return (ulong) n[1] == (evallgefint(3UL) | evalsigne(1)) && n[2] == 1; }
2043 61468039 : INLINE int equalim1(GEN n)
2044 61468039 : { return (ulong) n[1] == (evallgefint(3UL) | evalsigne(-1)) && n[2] == 1; }
2045 : /* works only for POSITIVE integers */
2046 1067386546 : INLINE int is_pm1(GEN n)
2047 1067386546 : { return lgefint(n) == 3 && n[2] == 1; }
2048 244069548 : INLINE int is_bigint(GEN n)
2049 244069548 : { long l = lgefint(n); return l > 3 || (l == 3 && (n[2] & HIGHBIT)); }
2050 :
2051 2067880497 : INLINE int odd(long x) { return x & 1; }
2052 29164685 : INLINE int both_odd(long x, long y) { return x & y & 1; }
2053 :
2054 : INLINE int
2055 2910271728 : isonstack(GEN x)
2056 2910271728 : { return ((pari_sp)x >= pari_mainstack->bot
2057 2910271728 : && (pari_sp)x < pari_mainstack->top); }
2058 :
2059 : /* assume x != 0 and x t_REAL, return an approximation to log2(|x|) */
2060 : INLINE double
2061 22196788 : dbllog2r(GEN x)
2062 22196788 : { return log2((double)(ulong)x[2]) + (double)(expo(x) - (BITS_IN_LONG-1)); }
2063 :
2064 : INLINE GEN
2065 402662 : mul_content(GEN cx, GEN cy)
2066 : {
2067 402662 : if (!cx) return cy;
2068 147631 : if (!cy) return cx;
2069 103417 : return gmul(cx,cy);
2070 : }
2071 : INLINE GEN
2072 11873 : inv_content(GEN c) { return c? ginv(c): NULL; }
2073 : INLINE GEN
2074 1820832 : mul_denom(GEN dx, GEN dy)
2075 : {
2076 1820832 : if (!dx) return dy;
2077 1219688 : if (!dy) return dx;
2078 385425 : return mulii(dx,dy);
2079 : }
2080 :
2081 : /* POLYNOMIALS */
2082 : INLINE GEN
2083 17949649 : constant_coeff(GEN x) { return signe(x)? gel(x,2): gen_0; }
2084 : INLINE GEN
2085 84633101 : leading_coeff(GEN x) { return lg(x) == 2? gen_0: gel(x,lg(x)-1); }
2086 : INLINE ulong
2087 492299 : Flx_lead(GEN x) { return lg(x) == 2? 0: x[lg(x)-1]; }
2088 : INLINE ulong
2089 12252 : Flx_constant(GEN x) { return lg(x) == 2? 0: x[2]; }
2090 : INLINE long
2091 2930996907 : degpol(GEN x) { return lg(x)-3; }
2092 : INLINE long
2093 1472334339 : lgpol(GEN x) { return lg(x)-2; }
2094 : INLINE long
2095 136594742 : lgcols(GEN x) { return lg(gel(x,1)); }
2096 : INLINE long
2097 37751623 : nbrows(GEN x) { return lg(gel(x,1))-1; }
2098 : INLINE GEN
2099 0 : truecoef(GEN x, long n) { return polcoef(x,n,-1); }
2100 :
2101 : INLINE GEN
2102 574137 : ZXQ_mul(GEN y, GEN x, GEN T) { return ZX_rem(ZX_mul(y, x), T); }
2103 : INLINE GEN
2104 286540 : ZXQ_sqr(GEN x, GEN T) { return ZX_rem(ZX_sqr(x), T); }
2105 :
2106 : INLINE GEN
2107 95025802 : RgX_copy(GEN x)
2108 : {
2109 : long lx, i;
2110 95025802 : GEN y = cgetg_copy(x, &lx); y[1] = x[1];
2111 95025799 : for (i = 2; i<lx; i++) gel(y,i) = gcopy(gel(x,i));
2112 95025802 : return y;
2113 : }
2114 : /* have to use ulong to avoid silly warnings from gcc "assuming signed
2115 : * overflow does not occur" */
2116 : INLINE GEN
2117 2992004 : RgX_coeff(GEN x, long n)
2118 : {
2119 2992004 : ulong l = lg(x);
2120 2992004 : return (n < 0 || ((ulong)n+3) > l)? gen_0: gel(x,n+2);
2121 : }
2122 : INLINE GEN
2123 368623 : RgX_renormalize(GEN x) { return RgX_renormalize_lg(x, lg(x)); }
2124 : INLINE GEN
2125 6809344 : RgX_div(GEN x, GEN y) { return RgX_divrem(x,y,NULL); }
2126 : INLINE GEN
2127 1792 : RgXQX_div(GEN x, GEN y, GEN T) { return RgXQX_divrem(x,y,T,NULL); }
2128 : INLINE GEN
2129 69600 : RgXQX_rem(GEN x, GEN y, GEN T) { return RgXQX_divrem(x,y,T,ONLY_REM); }
2130 : INLINE GEN
2131 1039997 : FpX_div(GEN x, GEN y, GEN p) { return FpX_divrem(x,y,p, NULL); }
2132 : INLINE GEN
2133 5282505 : Flx_div(GEN x, GEN y, ulong p) { return Flx_divrem(x,y,p, NULL); }
2134 : INLINE GEN
2135 820057 : F2x_div(GEN x, GEN y) { return F2x_divrem(x,y, NULL); }
2136 : INLINE GEN
2137 0 : FpV_FpC_mul(GEN x, GEN y, GEN p) { return FpV_dotproduct(x,y,p); }
2138 : INLINE GEN
2139 50714644 : pol0_Flx(long sv) { return mkvecsmall(sv); }
2140 : INLINE GEN
2141 16097857 : pol1_Flx(long sv) { return mkvecsmall2(sv, 1); }
2142 : INLINE GEN
2143 18196051 : polx_Flx(long sv) { return mkvecsmall3(sv, 0, 1); }
2144 : INLINE GEN
2145 0 : zero_zx(long sv) { return zero_Flx(sv); }
2146 : INLINE GEN
2147 0 : polx_zx(long sv) { return polx_Flx(sv); }
2148 : INLINE GEN
2149 0 : zx_shift(GEN x, long n) { return Flx_shift(x,n); }
2150 : INLINE GEN
2151 0 : zx_renormalize(GEN x, long l) { return Flx_renormalize(x,l); }
2152 : INLINE GEN
2153 1341 : zero_F2x(long sv) { return zero_Flx(sv); }
2154 : INLINE GEN
2155 11194493 : pol0_F2x(long sv) { return pol0_Flx(sv); }
2156 : INLINE GEN
2157 2887871 : pol1_F2x(long sv) { return pol1_Flx(sv); }
2158 : INLINE GEN
2159 688446 : polx_F2x(long sv) { return mkvecsmall2(sv, 2); }
2160 : INLINE int
2161 846225 : F2x_equal1(GEN x) { return Flx_equal1(x); }
2162 : INLINE int
2163 3128857 : F2x_equal(GEN V, GEN W) { return Flx_equal(V,W); }
2164 : INLINE GEN
2165 54386270 : F2x_copy(GEN x) { return leafcopy(x); }
2166 : INLINE GEN
2167 0 : F2v_copy(GEN x) { return leafcopy(x); }
2168 : INLINE GEN
2169 2280397 : Flv_copy(GEN x) { return leafcopy(x); }
2170 : INLINE GEN
2171 86572736 : Flx_copy(GEN x) { return leafcopy(x); }
2172 : INLINE GEN
2173 1964710 : vecsmall_copy(GEN x) { return leafcopy(x); }
2174 : INLINE int
2175 4985853 : Flx_equal1(GEN x) { return degpol(x)==0 && x[2] == 1; }
2176 : INLINE int
2177 18233 : ZX_equal1(GEN x) { return degpol(x)==0 && equali1(gel(x,2)); }
2178 : INLINE int
2179 5549332 : ZX_is_monic(GEN x) { return equali1(leading_coeff(x)); }
2180 :
2181 : INLINE GEN
2182 53004560 : ZX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2183 : INLINE GEN
2184 74962595 : FpX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2185 : INLINE GEN
2186 789828 : FpXX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2187 : INLINE GEN
2188 1255760 : FpXQX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2189 : INLINE GEN
2190 108528204 : F2x_renormalize(GEN x, long lx) { return Flx_renormalize(x,lx); }
2191 : INLINE GEN
2192 32410 : F2v_to_F2x(GEN x, long sv) {
2193 32410 : GEN y = leafcopy(x);
2194 32410 : y[1] = sv; F2x_renormalize(y, lg(y)); return y;
2195 : }
2196 :
2197 : INLINE long
2198 0 : sturm(GEN x) { return sturmpart(x, NULL, NULL); }
2199 :
2200 : INLINE long
2201 7168 : gval(GEN x, long v) {
2202 7168 : pari_sp av = avma;
2203 7168 : long n = gvaluation(x, pol_x(v));
2204 7168 : set_avma(av); return n;
2205 : }
2206 :
2207 : INLINE void
2208 471452 : RgX_shift_inplace_init(long v)
2209 471452 : { if (v) (void)cgetg(v, t_VECSMALL); }
2210 : /* shift polynomial in place. assume v free cells have been left before x */
2211 : INLINE GEN
2212 471452 : RgX_shift_inplace(GEN x, long v)
2213 : {
2214 : long i, lx;
2215 : GEN y, z;
2216 471452 : if (!v) return x;
2217 253227 : lx = lg(x);
2218 253227 : if (lx == 2) return x;
2219 253227 : y = x + v;
2220 253227 : z = x + lx;
2221 : /* stackdummy from normalizepol: move it up */
2222 253227 : if (lg(z) != v) x[lx + v] = z[0];
2223 253227 : for (i = lx-1; i >= 2; i--) gel(y,i) = gel(x,i);
2224 253227 : for (i = v+1; i >= 2; i--) gel(x,i) = gen_0;
2225 : /* leave x[1] alone: it is correct */
2226 253227 : x[0] = evaltyp(t_POL) | evallg(lx+v); return x;
2227 : }
2228 :
2229 :
2230 : /* LINEAR ALGEBRA */
2231 : INLINE GEN
2232 133469 : zv_to_ZV(GEN x) { return vecsmall_to_vec(x); }
2233 : INLINE GEN
2234 5236031 : zc_to_ZC(GEN x) { return vecsmall_to_col(x); }
2235 : INLINE GEN
2236 3300778 : ZV_to_zv(GEN x) { return vec_to_vecsmall(x); }
2237 : INLINE GEN
2238 0 : zx_to_zv(GEN x, long N) { return Flx_to_Flv(x,N); }
2239 : INLINE GEN
2240 0 : zv_to_zx(GEN x, long sv) { return Flv_to_Flx(x,sv); }
2241 : INLINE GEN
2242 0 : zm_to_zxV(GEN x, long sv) { return Flm_to_FlxV(x,sv); }
2243 : INLINE GEN
2244 0 : zero_zm(long x, long y) { return zero_Flm(x,y); }
2245 : INLINE GEN
2246 17709775 : zero_zv(long x) { return zero_Flv(x); }
2247 : INLINE GEN
2248 238 : zm_transpose(GEN x) { return Flm_transpose(x); }
2249 : INLINE GEN
2250 0 : zm_copy(GEN x) { return Flm_copy(x); }
2251 : INLINE GEN
2252 1907156 : zv_copy(GEN x) { return Flv_copy(x); }
2253 : INLINE GEN
2254 0 : zm_row(GEN x, long i) { return Flm_row(x,i); }
2255 :
2256 : INLINE GEN
2257 981851 : ZC_hnfrem(GEN x, GEN y) { return ZC_hnfremdiv(x,y,NULL); }
2258 : INLINE GEN
2259 50350 : ZM_hnfrem(GEN x, GEN y) { return ZM_hnfdivrem(x,y,NULL); }
2260 : INLINE GEN
2261 2513335 : ZM_lll(GEN x, double D, long f) { return ZM_lll_norms(x,D,f,NULL); }
2262 : INLINE void
2263 6430214 : RgM_dimensions(GEN x, long *m, long *n) { *n = lg(x)-1; *m = *n? nbrows(x): 0; }
2264 : INLINE GEN
2265 10552950 : RgM_shallowcopy(GEN x)
2266 : {
2267 : long l;
2268 10552950 : GEN y = cgetg_copy(x, &l);
2269 10552970 : while (--l > 0) gel(y,l) = leafcopy(gel(x,l));
2270 10552959 : return y;
2271 : }
2272 : INLINE GEN
2273 20141 : F2m_copy(GEN x) { return RgM_shallowcopy(x); }
2274 :
2275 : INLINE GEN
2276 1546952 : Flm_copy(GEN x) { return RgM_shallowcopy(x); }
2277 :
2278 : /* divisibility: return 1 if y[i] | x[i] for all i, 0 otherwise. Assume
2279 : * x,y are ZV of the same length */
2280 : INLINE int
2281 23198 : ZV_dvd(GEN x, GEN y)
2282 : {
2283 23198 : long i, l = lg(x);
2284 36652 : for (i=1; i < l; i++)
2285 29519 : if ( ! dvdii( gel(x,i), gel(y,i) ) ) return 0;
2286 7133 : return 1;
2287 : }
2288 :
2289 : /* Fq */
2290 : INLINE GEN
2291 2508081 : Fq_red(GEN x, GEN T, GEN p)
2292 2508081 : { return typ(x)==t_INT? Fp_red(x,p): FpXQ_red(x,T,p); }
2293 : INLINE GEN
2294 99511 : Fq_to_FpXQ(GEN x, GEN T, GEN p /*unused*/)
2295 : {
2296 : (void) p;
2297 99511 : return typ(x)==t_INT ? scalarpol(x, get_FpX_var(T)): x;
2298 : }
2299 : INLINE GEN
2300 756 : Rg_to_Fq(GEN x, GEN T, GEN p) { return T? Rg_to_FpXQ(x,T,p): Rg_to_Fp(x,p); }
2301 :
2302 : INLINE GEN
2303 2345 : gener_Fq_local(GEN T, GEN p, GEN L)
2304 : { return T? gener_FpXQ_local(T,p, L)
2305 2345 : : pgener_Fp_local(p, L); }
2306 :
2307 : /* FpXQX */
2308 : INLINE GEN
2309 4403 : FpXQX_div(GEN x, GEN y, GEN T, GEN p) { return FpXQX_divrem(x, y, T, p, NULL); }
2310 : INLINE GEN
2311 35235 : FlxqX_div(GEN x, GEN y, GEN T, ulong p) { return FlxqX_divrem(x, y, T, p, NULL); }
2312 : INLINE GEN
2313 33334 : F2xqX_div(GEN x, GEN y, GEN T) { return F2xqX_divrem(x, y, T, NULL); }
2314 :
2315 : /* FqX */
2316 : INLINE GEN
2317 25452 : FqX_red(GEN z, GEN T, GEN p) { return T? FpXQX_red(z, T, p): FpX_red(z, p); }
2318 : INLINE GEN
2319 957187 : FqX_add(GEN x,GEN y,GEN T,GEN p) { return T? FpXX_add(x,y,p): FpX_add(x,y,p); }
2320 : INLINE GEN
2321 17404 : FqX_neg(GEN x,GEN T,GEN p) { return T? FpXX_neg(x,p): FpX_neg(x,p); }
2322 : INLINE GEN
2323 3234 : FqX_sub(GEN x,GEN y,GEN T,GEN p) { return T? FpXX_sub(x,y,p): FpX_sub(x,y,p); }
2324 : INLINE GEN
2325 668382 : FqX_Fp_mul(GEN P, GEN u, GEN T, GEN p)
2326 668382 : { return T? FpXX_Fp_mul(P, u, p): FpX_Fp_mul(P, u, p); }
2327 : INLINE GEN
2328 588227 : FqX_Fq_mul(GEN P, GEN U, GEN T, GEN p)
2329 588227 : { return typ(U)==t_INT ? FqX_Fp_mul(P, U, T, p): FpXQX_FpXQ_mul(P, U, T, p); }
2330 : INLINE GEN
2331 100966 : FqX_mul(GEN x, GEN y, GEN T, GEN p)
2332 100966 : { return T? FpXQX_mul(x, y, T, p): FpX_mul(x, y, p); }
2333 : INLINE GEN
2334 489744 : FqX_mulu(GEN x, ulong y, GEN T, GEN p)
2335 489744 : { return T? FpXX_mulu(x, y, p): FpX_mulu(x, y, p); }
2336 : INLINE GEN
2337 6468 : FqX_sqr(GEN x, GEN T, GEN p)
2338 6468 : { return T? FpXQX_sqr(x, T, p): FpX_sqr(x, p); }
2339 : INLINE GEN
2340 1288 : FqX_powu(GEN x, ulong n, GEN T, GEN p)
2341 1288 : { return T? FpXQX_powu(x, n, T, p): FpX_powu(x, n, p); }
2342 : INLINE GEN
2343 0 : FqX_halve(GEN x, GEN T, GEN p)
2344 0 : { return T? FpXX_halve(x, p): FpX_halve(x, p); }
2345 : INLINE GEN
2346 5964 : FqX_div(GEN x, GEN y, GEN T, GEN p)
2347 5964 : { return T? FpXQX_divrem(x,y,T,p,NULL): FpX_divrem(x,y,p,NULL); }
2348 : INLINE GEN
2349 6095 : FqX_get_red(GEN S, GEN T, GEN p)
2350 6095 : { return T? FpXQX_get_red(S,T,p): FpX_get_red(S,p); }
2351 : INLINE GEN
2352 53108 : FqX_rem(GEN x, GEN y, GEN T, GEN p)
2353 53108 : { return T? FpXQX_rem(x,y,T,p): FpX_rem(x,y,p); }
2354 : INLINE GEN
2355 0 : FqX_divrem(GEN x, GEN y, GEN T, GEN p, GEN *z)
2356 0 : { return T? FpXQX_divrem(x,y,T,p,z): FpX_divrem(x,y,p,z); }
2357 : INLINE GEN
2358 5936 : FqX_div_by_X_x(GEN x, GEN y, GEN T, GEN p, GEN *z)
2359 5936 : { return T? FpXQX_div_by_X_x(x,y,T,p,z): FpX_div_by_X_x(x,y,p,z); }
2360 : INLINE GEN
2361 0 : FqX_halfgcd(GEN P,GEN Q,GEN T,GEN p)
2362 0 : {return T? FpXQX_halfgcd(P,Q,T,p): FpX_halfgcd(P,Q,p);}
2363 : INLINE GEN
2364 259833 : FqX_gcd(GEN P,GEN Q,GEN T,GEN p)
2365 259833 : {return T? FpXQX_gcd(P,Q,T,p): FpX_gcd(P,Q,p);}
2366 : INLINE GEN
2367 94207 : FqX_extgcd(GEN P,GEN Q,GEN T,GEN p, GEN *U, GEN *V)
2368 94207 : { return T? FpXQX_extgcd(P,Q,T,p,U,V): FpX_extgcd(P,Q,p,U,V); }
2369 : INLINE GEN
2370 3437 : FqX_normalize(GEN z, GEN T, GEN p)
2371 3437 : { return T? FpXQX_normalize(z, T, p): FpX_normalize(z, p); }
2372 : INLINE GEN
2373 273175 : FqX_deriv(GEN f, GEN T, GEN p) { return T? FpXX_deriv(f, p): FpX_deriv(f, p); }
2374 : INLINE GEN
2375 0 : FqX_integ(GEN f, GEN T, GEN p) { return T? FpXX_integ(f, p): FpX_integ(f, p); }
2376 : INLINE GEN
2377 74837 : FqX_factor(GEN f, GEN T, GEN p)
2378 74837 : { return T?FpXQX_factor(f, T, p): FpX_factor(f, p); }
2379 : INLINE GEN
2380 7 : FqX_factor_squarefree(GEN f, GEN T, GEN p)
2381 7 : { return T ? FpXQX_factor_squarefree(f, T, p): FpX_factor_squarefree(f, p); }
2382 : INLINE GEN
2383 7 : FqX_ddf(GEN f, GEN T, GEN p)
2384 7 : { return T ? FpXQX_ddf(f, T, p): FpX_ddf(f, p); }
2385 : INLINE GEN
2386 42 : FqX_degfact(GEN f, GEN T, GEN p)
2387 42 : { return T?FpXQX_degfact(f, T, p): FpX_degfact(f, p); }
2388 : INLINE GEN
2389 7140 : FqX_roots(GEN f, GEN T, GEN p)
2390 7140 : { return T?FpXQX_roots(f, T, p): FpX_roots(f, p); }
2391 : INLINE GEN
2392 203 : FqX_to_mod(GEN f, GEN T, GEN p)
2393 203 : { return T?FpXQX_to_mod(f, T, p): FpX_to_mod(f, p); }
2394 :
2395 : /*FqXQ*/
2396 : INLINE GEN
2397 0 : FqXQ_add(GEN x, GEN y, GEN S/*unused*/, GEN T, GEN p)
2398 0 : { (void)S; return T? FpXX_add(x,y,p): FpX_add(x,y,p); }
2399 : INLINE GEN
2400 0 : FqXQ_sub(GEN x, GEN y, GEN S/*unused*/, GEN T, GEN p)
2401 0 : { (void)S; return T? FpXX_sub(x,y,p): FpX_sub(x,y,p); }
2402 : INLINE GEN
2403 0 : FqXQ_div(GEN x, GEN y, GEN S, GEN T, GEN p)
2404 0 : { return T? FpXQXQ_div(x,y,S,T,p): FpXQ_div(x,y,S,p); }
2405 : INLINE GEN
2406 0 : FqXQ_inv(GEN x, GEN S, GEN T, GEN p)
2407 0 : { return T? FpXQXQ_inv(x,S,T,p): FpXQ_inv(x,S,p); }
2408 : INLINE GEN
2409 0 : FqXQ_invsafe(GEN x, GEN S, GEN T, GEN p)
2410 0 : { return T? FpXQXQ_invsafe(x,S,T,p): FpXQ_inv(x,S,p); }
2411 : INLINE GEN
2412 22348 : FqXQ_mul(GEN x, GEN y, GEN S, GEN T, GEN p)
2413 22348 : { return T? FpXQXQ_mul(x,y,S,T,p): FpXQ_mul(x,y,S,p); }
2414 : INLINE GEN
2415 0 : FqXQ_sqr(GEN x, GEN S, GEN T, GEN p)
2416 0 : { return T? FpXQXQ_sqr(x,S,T,p): FpXQ_sqr(x,S,p); }
2417 : INLINE GEN
2418 0 : FqXQ_pow(GEN x, GEN n, GEN S, GEN T, GEN p)
2419 0 : { return T? FpXQXQ_pow(x,n,S,T,p): FpXQ_pow(x,n,S,p); }
2420 :
2421 : /*FqXn*/
2422 : INLINE GEN
2423 0 : FqXn_exp(GEN x, long n, GEN T, GEN p)
2424 0 : { return T? FpXQXn_exp(x,n,T,p): FpXn_exp(x,n,p); }
2425 : INLINE GEN
2426 0 : FqXn_inv(GEN x, long n, GEN T, GEN p)
2427 0 : { return T? FpXQXn_inv(x,n,T,p): FpXn_inv(x,n,p); }
2428 : INLINE GEN
2429 0 : FqXn_mul(GEN x, GEN y, long n, GEN T, GEN p)
2430 0 : { return T? FpXQXn_mul(x, y, n, T, p): FpXn_mul(x, y, n, p); }
2431 : INLINE GEN
2432 0 : FqXn_sqr(GEN x, long n, GEN T, GEN p)
2433 0 : { return T? FpXQXn_sqr(x,n,T,p): FpXn_sqr(x,n,p); }
2434 :
2435 : /*FpXQ*/
2436 : INLINE GEN
2437 0 : FpXQ_add(GEN x,GEN y,GEN T/*unused*/,GEN p)
2438 0 : { (void)T; return FpX_add(x,y,p); }
2439 : INLINE GEN
2440 0 : FpXQ_sub(GEN x,GEN y,GEN T/*unused*/,GEN p)
2441 0 : { (void)T; return FpX_sub(x,y,p); }
2442 :
2443 : /*Flxq*/
2444 : INLINE GEN
2445 0 : Flxq_add(GEN x,GEN y,GEN T/*unused*/,ulong p)
2446 0 : { (void)T; return Flx_add(x,y,p); }
2447 : INLINE GEN
2448 0 : Flxq_sub(GEN x,GEN y,GEN T/*unused*/,ulong p)
2449 0 : { (void)T; return Flx_sub(x,y,p); }
2450 :
2451 : /* F2x */
2452 :
2453 : INLINE ulong
2454 128342441 : F2x_coeff(GEN x,long v)
2455 : {
2456 128342441 : ulong u=(ulong)x[2+divsBIL(v)];
2457 128341038 : return (u>>remsBIL(v))&1UL;
2458 : }
2459 :
2460 : INLINE void
2461 5280159 : F2x_clear(GEN x,long v)
2462 : {
2463 5280159 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2464 5280157 : *u&=~(1UL<<remsBIL(v));
2465 5280158 : }
2466 :
2467 : INLINE void
2468 32972175 : F2x_set(GEN x,long v)
2469 : {
2470 32972175 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2471 32940861 : *u|=1UL<<remsBIL(v);
2472 32923251 : }
2473 :
2474 : INLINE void
2475 1502379 : F2x_flip(GEN x,long v)
2476 : {
2477 1502379 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2478 1502379 : *u^=1UL<<remsBIL(v);
2479 1502379 : }
2480 :
2481 : /* F2v */
2482 :
2483 : INLINE ulong
2484 123693930 : F2v_coeff(GEN x,long v) { return F2x_coeff(x,v-1); }
2485 :
2486 : INLINE void
2487 5280159 : F2v_clear(GEN x,long v) { F2x_clear(x,v-1); }
2488 :
2489 : INLINE void
2490 9040392 : F2v_set(GEN x,long v) { F2x_set(x,v-1); }
2491 :
2492 : INLINE void
2493 1502379 : F2v_flip(GEN x,long v) { F2x_flip(x,v-1); }
2494 :
2495 : /* F2m */
2496 :
2497 : INLINE ulong
2498 11151521 : F2m_coeff(GEN x, long a, long b) { return F2v_coeff(gel(x,b), a); }
2499 :
2500 : INLINE void
2501 0 : F2m_clear(GEN x, long a, long b) { F2v_clear(gel(x,b), a); }
2502 :
2503 : INLINE void
2504 1900969 : F2m_set(GEN x, long a, long b) { F2v_set(gel(x,b), a); }
2505 :
2506 : INLINE void
2507 1502379 : F2m_flip(GEN x, long a, long b) { F2v_flip(gel(x,b), a); }
2508 :
2509 : /* ARITHMETIC */
2510 : INLINE GEN
2511 1071 : matpascal(long n) { return matqpascal(n, NULL); }
2512 : INLINE long
2513 2334914 : Z_issquare(GEN x) { return Z_issquareall(x, NULL); }
2514 : INLINE long
2515 14 : Z_ispower(GEN x, ulong k) { return Z_ispowerall(x, k, NULL); }
2516 : INLINE GEN
2517 5803749 : sqrti(GEN x) { return sqrtremi(x,NULL); }
2518 : INLINE GEN
2519 5629444 : gaddgs(GEN y, long s) { return gaddsg(s,y); }
2520 : INLINE int
2521 72155 : gcmpgs(GEN y, long s) { return -gcmpsg(s,y); }
2522 : INLINE int
2523 24542 : gequalgs(GEN y, long s) { return gequalsg(s,y); }
2524 : INLINE GEN
2525 0 : gmaxsg(long s, GEN y) { return gmaxgs(y,s); }
2526 : INLINE GEN
2527 0 : gminsg(long s, GEN y) { return gmings(y,s); }
2528 : INLINE GEN
2529 15122191 : gmulgs(GEN y, long s) { return gmulsg(s,y); }
2530 : INLINE GEN
2531 934292 : gsubgs(GEN y, long s) { return gaddgs(y, -s); }
2532 : INLINE GEN
2533 681248 : gdivsg(long s, GEN y) { return gdiv(stoi(s), y); }
2534 :
2535 : /* x t_COMPLEX */
2536 : INLINE GEN
2537 14132060 : cxnorm(GEN x) { return gadd(gsqr(gel(x,1)), gsqr(gel(x,2))); }
2538 : /* q t_QUAD */
2539 : INLINE GEN
2540 966 : quadnorm(GEN q)
2541 : {
2542 966 : GEN X = gel(q,1), b = gel(X,3), c = gel(X,2);
2543 966 : GEN z, u = gel(q,3), v = gel(q,2);
2544 966 : if (typ(u) == t_INT && typ(v) == t_INT) /* generic case */
2545 : {
2546 651 : z = signe(b)? mulii(v, addii(u,v)): sqri(v);
2547 651 : return addii(z, mulii(c, sqri(u)));
2548 : }
2549 : else
2550 : {
2551 315 : z = signe(b)? gmul(v, gadd(u,v)): gsqr(v);
2552 315 : return gadd(z, gmul(c, gsqr(u)));
2553 : }
2554 : }
2555 : /* x a t_QUAD, return the attached discriminant */
2556 : INLINE GEN
2557 1001 : quad_disc(GEN x)
2558 : {
2559 1001 : GEN Q = gel(x,1), b = gel(Q,3), c = gel(Q,2), c4 = shifti(c,2);
2560 1001 : if (is_pm1(b)) return subsi(1, c4);
2561 147 : togglesign_safe(&c4); return c4;
2562 : }
2563 : INLINE GEN
2564 6386709 : qfb_disc3(GEN x, GEN y, GEN z) { return subii(sqri(y), shifti(mulii(x,z),2)); }
2565 : INLINE GEN
2566 6305775 : qfb_disc(GEN x) { return qfb_disc3(gel(x,1), gel(x,2), gel(x,3)); }
2567 :
2568 : INLINE GEN
2569 1304093 : sqrfrac(GEN x)
2570 : {
2571 1304093 : GEN z = cgetg(3,t_FRAC);
2572 1304093 : gel(z,1) = sqri(gel(x,1));
2573 1304093 : gel(z,2) = sqri(gel(x,2)); return z;
2574 : }
2575 :
2576 : INLINE void
2577 32500645 : normalize_frac(GEN z) {
2578 32500645 : if (signe(gel(z,2)) < 0) { togglesign(gel(z,1)); setabssign(gel(z,2)); }
2579 32500645 : }
2580 :
2581 : INLINE GEN
2582 271292 : powii(GEN x, GEN n)
2583 : {
2584 271292 : long ln = lgefint(n);
2585 271292 : if (ln == 3) {
2586 : GEN z;
2587 266875 : if (signe(n) > 0) return powiu(x, n[2]);
2588 8344 : z = cgetg(3, t_FRAC);
2589 8344 : gel(z,1) = gen_1;
2590 8344 : gel(z,2) = powiu(x, n[2]);
2591 8344 : return z;
2592 : }
2593 4417 : if (ln == 2) return gen_1; /* rare */
2594 : /* should never happen */
2595 0 : return powgi(x, n); /* overflow unless x = 0, 1, -1 */
2596 : }
2597 : INLINE GEN
2598 1337 : powIs(long n) {
2599 1337 : switch(n & 3)
2600 : {
2601 63 : case 1: return mkcomplex(gen_0,gen_1);
2602 378 : case 2: return gen_m1;
2603 553 : case 3: return mkcomplex(gen_0,gen_m1);
2604 : }
2605 343 : return gen_1;
2606 : }
2607 :
2608 : /*******************************************************************/
2609 : /* */
2610 : /* ASSIGNMENTS */
2611 : /* */
2612 : /*******************************************************************/
2613 0 : INLINE void mpexpz(GEN x, GEN z)
2614 0 : { pari_sp av = avma; gaffect(mpexp(x), z); set_avma(av); }
2615 0 : INLINE void mplogz(GEN x, GEN z)
2616 0 : { pari_sp av = avma; gaffect(mplog(x), z); set_avma(av); }
2617 0 : INLINE void mpcosz(GEN x, GEN z)
2618 0 : { pari_sp av = avma; gaffect(mpcos(x), z); set_avma(av); }
2619 0 : INLINE void mpsinz(GEN x, GEN z)
2620 0 : { pari_sp av = avma; gaffect(mpsin(x), z); set_avma(av); }
2621 0 : INLINE void gnegz(GEN x, GEN z)
2622 0 : { pari_sp av = avma; gaffect(gneg(x), z); set_avma(av); }
2623 0 : INLINE void gabsz(GEN x, long prec, GEN z)
2624 0 : { pari_sp av = avma; gaffect(gabs(x,prec), z); set_avma(av); }
2625 0 : INLINE void gaddz(GEN x, GEN y, GEN z)
2626 0 : { pari_sp av = avma; gaffect(gadd(x,y), z); set_avma(av); }
2627 0 : INLINE void gsubz(GEN x, GEN y, GEN z)
2628 0 : { pari_sp av = avma; gaffect(gsub(x,y), z); set_avma(av); }
2629 0 : INLINE void gmulz(GEN x, GEN y, GEN z)
2630 0 : { pari_sp av = avma; gaffect(gmul(x,y), z); set_avma(av); }
2631 0 : INLINE void gdivz(GEN x, GEN y, GEN z)
2632 0 : { pari_sp av = avma; gaffect(gdiv(x,y), z); set_avma(av); }
2633 0 : INLINE void gdiventz(GEN x, GEN y, GEN z)
2634 0 : { pari_sp av = avma; gaffect(gdivent(x,y), z); set_avma(av); }
2635 0 : INLINE void gmodz(GEN x, GEN y, GEN z)
2636 0 : { pari_sp av = avma; gaffect(gmod(x,y), z); set_avma(av); }
2637 0 : INLINE void gmul2nz(GEN x, long s, GEN z)
2638 0 : { pari_sp av = avma; gaffect(gmul2n(x,s), z); set_avma(av); }
2639 0 : INLINE void gshiftz(GEN x, long s, GEN z)
2640 0 : { pari_sp av = avma; gaffect(gshift(x,s), z); set_avma(av); }
2641 :
2642 : /*******************************************************************/
2643 : /* */
2644 : /* ELLIPTIC CURVES */
2645 : /* */
2646 : /*******************************************************************/
2647 3983147 : INLINE GEN ell_get_a1(GEN e) { return gel(e,1); }
2648 3097806 : INLINE GEN ell_get_a2(GEN e) { return gel(e,2); }
2649 3864855 : INLINE GEN ell_get_a3(GEN e) { return gel(e,3); }
2650 3890745 : INLINE GEN ell_get_a4(GEN e) { return gel(e,4); }
2651 4707414 : INLINE GEN ell_get_a6(GEN e) { return gel(e,5); }
2652 3320951 : INLINE GEN ell_get_b2(GEN e) { return gel(e,6); }
2653 1026050 : INLINE GEN ell_get_b4(GEN e) { return gel(e,7); }
2654 1631991 : INLINE GEN ell_get_b6(GEN e) { return gel(e,8); }
2655 1464631 : INLINE GEN ell_get_b8(GEN e) { return gel(e,9); }
2656 6174014 : INLINE GEN ell_get_c4(GEN e) { return gel(e,10); }
2657 7409353 : INLINE GEN ell_get_c6(GEN e) { return gel(e,11); }
2658 9660937 : INLINE GEN ell_get_disc(GEN e) { return gel(e,12); }
2659 1029581 : INLINE GEN ell_get_j(GEN e) { return gel(e,13); }
2660 11462668 : INLINE long ell_get_type(GEN e) { return mael(e,14,1); }
2661 1571762 : INLINE GEN ellff_get_field(GEN x) { return gmael(x, 15, 1); }
2662 683473 : INLINE GEN ellff_get_a4a6(GEN x) { return gmael(x, 15, 2); }
2663 1407 : INLINE GEN ellQp_get_zero(GEN x) { return gmael(x, 15, 1); }
2664 287 : INLINE long ellQp_get_prec(GEN E) { GEN z = ellQp_get_zero(E); return valp(z); }
2665 1085 : INLINE GEN ellQp_get_p(GEN E) { GEN z = ellQp_get_zero(E); return gel(z,2); }
2666 37296 : INLINE long ellR_get_prec(GEN x) { return nbits2prec(mael3(x, 15, 1, 1)); }
2667 12656 : INLINE long ellR_get_sign(GEN x) { return mael3(x, 15, 1, 2); }
2668 700956 : INLINE GEN ellnf_get_nf(GEN x) { return checknf_i(gmael(x,15,1)); }
2669 56 : INLINE GEN ellnf_get_bnf(GEN x) { return checkbnf_i(gmael(x,15,1)); }
2670 :
2671 4627515 : INLINE int checkell_i(GEN e) { return typ(e) == t_VEC && lg(e) == 17; }
2672 33988936 : INLINE int ell_is_inf(GEN z) { return lg(z) == 2; }
2673 810472 : INLINE GEN ellinf(void) { return mkvec(gen_0); }
2674 :
2675 : /*******************************************************************/
2676 : /* */
2677 : /* ALGEBRAIC NUMBER THEORY */
2678 : /* */
2679 : /*******************************************************************/
2680 8614002 : INLINE GEN modpr_get_pr(GEN x) { return gel(x,3); }
2681 610167 : INLINE GEN modpr_get_p(GEN x) { return pr_get_p(modpr_get_pr(x)); }
2682 2755117 : INLINE GEN modpr_get_T(GEN x) { return lg(x) == 4? NULL: gel(x,4); }
2683 :
2684 20829796 : INLINE GEN pr_get_p(GEN pr) { return gel(pr,1); }
2685 7088805 : INLINE GEN pr_get_gen(GEN pr){ return gel(pr,2); }
2686 : /* .[2] instead of itos works: e and f are small positive integers */
2687 2423054 : INLINE long pr_get_e(GEN pr) { return gel(pr,3)[2]; }
2688 9800554 : INLINE long pr_get_f(GEN pr) { return gel(pr,4)[2]; }
2689 6674798 : INLINE GEN pr_get_tau(GEN pr){ return gel(pr,5); }
2690 : INLINE int
2691 3340518 : pr_is_inert(GEN P) { return pr_get_f(P) == lg(pr_get_gen(P))-1; }
2692 : INLINE GEN
2693 243456 : pr_norm(GEN pr) { return powiu(pr_get_p(pr), pr_get_f(pr)); }
2694 : INLINE ulong
2695 48083 : upr_norm(GEN pr) { return upowuu(pr_get_p(pr)[2], pr_get_f(pr)); }
2696 :
2697 : /* assume nf a genuine nf */
2698 : INLINE long
2699 395254 : nf_get_varn(GEN nf) { return varn(gel(nf,1)); }
2700 : INLINE GEN
2701 34549015 : nf_get_pol(GEN nf) { return gel(nf,1); }
2702 : INLINE long
2703 27521995 : nf_get_degree(GEN nf) { return degpol( nf_get_pol(nf) ); }
2704 : INLINE long
2705 4214979 : nf_get_r1(GEN nf) { GEN x = gel(nf,2); return itou(gel(x,1)); }
2706 : INLINE long
2707 1680 : nf_get_r2(GEN nf) { GEN x = gel(nf,2); return itou(gel(x,2)); }
2708 : INLINE GEN
2709 59504 : nf_get_disc(GEN nf) { return gel(nf,3); }
2710 : INLINE GEN
2711 882015 : nf_get_index(GEN nf) { return gel(nf,4); }
2712 : INLINE GEN
2713 2897491 : nf_get_M(GEN nf) { return gmael(nf,5,1); }
2714 : INLINE GEN
2715 87382 : nf_get_G(GEN nf) { return gmael(nf,5,2); }
2716 : INLINE GEN
2717 427447 : nf_get_roundG(GEN nf) { return gmael(nf,5,3); }
2718 : INLINE GEN
2719 24367 : nf_get_Tr(GEN nf) { return gmael(nf,5,4); }
2720 : INLINE GEN
2721 2324 : nf_get_diff(GEN nf) { return gmael(nf,5,5); }
2722 : INLINE GEN
2723 2079 : nf_get_ramified_primes(GEN nf) { return gmael(nf,5,8); }
2724 : INLINE GEN
2725 386315 : nf_get_roots(GEN nf) { return gel(nf,6); }
2726 : INLINE GEN
2727 112 : nf_get_zk(GEN nf)
2728 : {
2729 112 : GEN y = gel(nf,7), D = gel(y, 1);
2730 112 : if (typ(D) == t_POL) D = gel(D, 2);
2731 112 : if (!equali1(D)) y = gdiv(y, D);
2732 112 : return y;
2733 : }
2734 : INLINE GEN
2735 283677 : nf_get_zkprimpart(GEN nf)
2736 : {
2737 283677 : GEN y = gel(nf,7);
2738 : /* test for old format of nf.zk: non normalized */
2739 283677 : if (!equali1(gel(nf,4)) && gequal1(gel(y,1))) y = Q_remove_denom(y,NULL);
2740 283676 : return y;
2741 : }
2742 : INLINE GEN
2743 285020 : nf_get_zkden(GEN nf)
2744 : {
2745 285020 : GEN y = gel(nf,7), D = gel(y,1);
2746 285020 : if (typ(D) == t_POL) D = gel(D,2);
2747 : /* test for old format of nf.zk: non normalized */
2748 285020 : if (!equali1(gel(nf,4)) && equali1(D)) D = Q_denom(y);
2749 285018 : return D;
2750 : }
2751 : INLINE GEN
2752 2713072 : nf_get_invzk(GEN nf) { return gel(nf,8); }
2753 : INLINE void
2754 23855 : nf_get_sign(GEN nf, long *r1, long *r2)
2755 : {
2756 23855 : GEN x = gel(nf,2);
2757 23855 : *r1 = itou(gel(x,1));
2758 23855 : *r2 = itou(gel(x,2));
2759 23855 : }
2760 :
2761 : INLINE GEN
2762 95019 : abgrp_get_no(GEN x) { return gel(x,1); }
2763 : INLINE GEN
2764 2519257 : abgrp_get_cyc(GEN x) { return gel(x,2); }
2765 : INLINE GEN
2766 459896 : abgrp_get_gen(GEN x) { return gel(x,3); }
2767 : INLINE GEN
2768 2314438 : bnf_get_nf(GEN bnf) { return gel(bnf,7); }
2769 : INLINE GEN
2770 908935 : bnf_get_clgp(GEN bnf) { return gmael(bnf,8,1); }
2771 : INLINE GEN
2772 7112 : bnf_get_no(GEN bnf) { return abgrp_get_no(bnf_get_clgp(bnf)); }
2773 : INLINE GEN
2774 489639 : bnf_get_cyc(GEN bnf) { return abgrp_get_cyc(bnf_get_clgp(bnf)); }
2775 : INLINE GEN
2776 411855 : bnf_get_gen(GEN bnf) { return abgrp_get_gen(bnf_get_clgp(bnf)); }
2777 : INLINE GEN
2778 846 : bnf_get_reg(GEN bnf) { return gmael(bnf,8,2); }
2779 : INLINE GEN
2780 511472 : bnf_get_logfu(GEN bnf) { return gel(bnf,3); }
2781 : INLINE GEN
2782 8835 : bnf_get_tuU(GEN bnf) { return gmael3(bnf,8,4,2); }
2783 : INLINE long
2784 41965 : bnf_get_tuN(GEN bnf) { return gmael3(bnf,8,4,1)[2]; }
2785 : INLINE GEN
2786 1778 : bnf_get_fu(GEN bnf) {
2787 1778 : GEN fu = bnf_get_fu_nocheck(bnf);
2788 1778 : if (typ(fu) == t_MAT) pari_err(e_MISC,"missing units in bnf");
2789 1778 : return fu;
2790 : }
2791 : INLINE GEN
2792 10172 : bnf_get_fu_nocheck(GEN bnf) { return gmael(bnf,8,5); }
2793 :
2794 : INLINE GEN
2795 909263 : bnr_get_bnf(GEN bnr) { return gel(bnr,1); }
2796 : INLINE GEN
2797 465492 : bnr_get_bid(GEN bnr) { return gel(bnr,2); }
2798 : INLINE GEN
2799 20202 : bnr_get_mod(GEN bnr) { return gmael(bnr,2,1); }
2800 : INLINE GEN
2801 36897 : bnr_get_nf(GEN bnr) { return gmael(bnr,1,7); }
2802 : INLINE GEN
2803 712501 : bnr_get_clgp(GEN bnr) { return gel(bnr,5); }
2804 : INLINE GEN
2805 84140 : bnr_get_no(GEN bnr) { return abgrp_get_no(bnr_get_clgp(bnr)); }
2806 : INLINE GEN
2807 612065 : bnr_get_cyc(GEN bnr) { return abgrp_get_cyc(bnr_get_clgp(bnr)); }
2808 : INLINE GEN
2809 70 : bnr_get_gen_nocheck(GEN bnr) { return abgrp_get_gen(bnr_get_clgp(bnr)); }
2810 : INLINE GEN
2811 14931 : bnr_get_gen(GEN bnr) {
2812 14931 : GEN G = bnr_get_clgp(bnr);
2813 14931 : if (lg(G) != 4)
2814 0 : pari_err(e_MISC,"missing bnr generators: please use bnrinit(,,1)");
2815 14931 : return gel(G,3);
2816 : }
2817 :
2818 : INLINE GEN
2819 337966 : bid_get_mod(GEN bid) { return gel(bid,1); }
2820 : INLINE GEN
2821 68054 : bid_get_ideal(GEN bid) { return gmael(bid,1,1); }
2822 : INLINE GEN
2823 1260 : bid_get_arch(GEN bid) { return gmael(bid,1,2); }
2824 : INLINE GEN
2825 1275222 : bid_get_grp(GEN bid) { return gel(bid,2); }
2826 : INLINE GEN
2827 507254 : bid_get_fact(GEN bid) { return gmael(bid,3,1); }
2828 : INLINE GEN
2829 436960 : bid_get_fact2(GEN bid) { return gmael(bid,3,2); }
2830 : INLINE GEN
2831 436008 : bid_get_sprk(GEN bid) { return gmael(bid,4,1); }
2832 : INLINE GEN
2833 49189 : bid_get_sarch(GEN bid) { return gmael(bid,4,2); }
2834 : INLINE GEN
2835 472233 : bid_get_archp(GEN bid) { return gmael3(bid,4,2,2); }
2836 : INLINE GEN
2837 774205 : bid_get_U(GEN bid) { return gel(bid,5); }
2838 : INLINE GEN
2839 0 : bid_get_no(GEN bid) { return abgrp_get_no(bid_get_grp(bid)); }
2840 : INLINE GEN
2841 1228175 : bid_get_cyc(GEN bid) { return abgrp_get_cyc(bid_get_grp(bid)); }
2842 : INLINE GEN
2843 0 : bid_get_gen_nocheck(GEN bid) { return abgrp_get_gen(bid_get_grp(bid)); }
2844 : INLINE GEN
2845 46452 : bid_get_gen(GEN bid) {
2846 46452 : GEN G = bid_get_grp(bid);
2847 46452 : if (lg(G) != 4) pari_err(e_MISC,"missing bid generators. Use idealstar(,,2)");
2848 46452 : return abgrp_get_gen(G);
2849 : }
2850 :
2851 : INLINE GEN
2852 25974025 : znstar_get_N(GEN G) { return gmael(G,1,1); }
2853 : INLINE GEN
2854 2898560 : znstar_get_faN(GEN G) { return gel(G,3); }
2855 : INLINE GEN
2856 7 : znstar_get_no(GEN G) { return abgrp_get_no(gel(G,2)); }
2857 : INLINE GEN
2858 187957 : znstar_get_cyc(GEN G) { return abgrp_get_cyc(gel(G,2)); }
2859 : INLINE GEN
2860 7 : znstar_get_gen(GEN G) { return abgrp_get_gen(gel(G,2)); }
2861 : INLINE GEN
2862 3575320 : znstar_get_conreycyc(GEN G) { return gmael(G,4,5); }
2863 : INLINE GEN
2864 1232007 : znstar_get_conreygen(GEN G) { return gmael(G,4,4); }
2865 : INLINE GEN
2866 45927 : znstar_get_Ui(GEN G) { return gmael(G,4,3); }
2867 : INLINE GEN
2868 118237 : znstar_get_U(GEN G) { return gel(G,5); }
2869 : INLINE GEN
2870 837347 : znstar_get_pe(GEN G) { return gmael(G,4,1); }
2871 : INLINE GEN
2872 19950 : gal_get_pol(GEN gal) { return gel(gal,1); }
2873 : INLINE GEN
2874 1330 : gal_get_p(GEN gal) { return gmael(gal,2,1); }
2875 : INLINE GEN
2876 84 : gal_get_e(GEN gal) { return gmael(gal,2,2); }
2877 : INLINE GEN
2878 16009 : gal_get_mod(GEN gal) { return gmael(gal,2,3); }
2879 : INLINE GEN
2880 16387 : gal_get_roots(GEN gal) { return gel(gal,3); }
2881 : INLINE GEN
2882 15960 : gal_get_invvdm(GEN gal) { return gel(gal,4); }
2883 : INLINE GEN
2884 15960 : gal_get_den(GEN gal) { return gel(gal,5); }
2885 : INLINE GEN
2886 67153 : gal_get_group(GEN gal) { return gel(gal,6); }
2887 : INLINE GEN
2888 1743 : gal_get_gen(GEN gal) { return gel(gal,7); }
2889 : INLINE GEN
2890 1386 : gal_get_orders(GEN gal) { return gel(gal,8); }
2891 :
2892 : /* assume rnf a genuine rnf */
2893 : INLINE long
2894 1233848 : rnf_get_degree(GEN rnf) { return degpol(rnf_get_pol(rnf)); }
2895 : INLINE long
2896 16681 : rnf_get_nfdegree(GEN rnf) { return degpol(nf_get_pol(rnf_get_nf(rnf))); }
2897 : INLINE long
2898 775698 : rnf_get_absdegree(GEN rnf) { return degpol(gmael(rnf,11,1)); }
2899 : INLINE GEN
2900 700 : rnf_get_idealdisc(GEN rnf) { return gmael(rnf,3,1); }
2901 : INLINE GEN
2902 742 : rnf_get_k(GEN rnf) { return gmael(rnf,11,3); }
2903 : INLINE GEN
2904 798 : rnf_get_alpha(GEN rnf) { return gmael(rnf, 11, 2); }
2905 : INLINE GEN
2906 430360 : rnf_get_nf(GEN rnf) { return gel(rnf,10); }
2907 : INLINE GEN
2908 3808 : rnf_get_nfzk(GEN rnf) { return gel(rnf,2); }
2909 : INLINE GEN
2910 215152 : rnf_get_polabs(GEN rnf) { return gmael(rnf,11,1); }
2911 : INLINE GEN
2912 1480059 : rnf_get_pol(GEN rnf) { return gel(rnf,1); }
2913 : INLINE GEN
2914 175 : rnf_get_disc(GEN rnf) { return gel(rnf,3); }
2915 : INLINE GEN
2916 105 : rnf_get_index(GEN rnf) { return gel(rnf,4); }
2917 : INLINE GEN
2918 1561 : rnf_get_ramified_primes(GEN rnf) { return gel(rnf,5); }
2919 : INLINE long
2920 0 : rnf_get_varn(GEN rnf) { return varn(gel(rnf,1)); }
2921 : INLINE GEN
2922 188580 : rnf_get_nfpol(GEN rnf) { return gmael(rnf,10,1); }
2923 : INLINE long
2924 3325 : rnf_get_nfvarn(GEN rnf) { return varn(gmael(rnf,10,1)); }
2925 : INLINE GEN
2926 3500 : rnf_get_zk(GEN rnf) { return gel(rnf,7); }
2927 : INLINE GEN
2928 97335 : rnf_get_map(GEN rnf) { return gel(rnf,11); }
2929 : INLINE GEN
2930 1197 : rnf_get_invzk(GEN rnf) { return gel(rnf,8); }
2931 :
2932 : /* I integral ZM (not HNF), G ZM, rounded Cholesky form of a weighted
2933 : * T2 matrix. Reduce I wrt G */
2934 : INLINE GEN
2935 21973 : idealpseudored(GEN I, GEN G)
2936 21973 : { return ZM_mul(I, ZM_lll(ZM_mul(G, I), 0.99, LLL_IM)); }
2937 :
2938 : /* I integral (not necessarily HNF), G ZM, rounded Cholesky form of a weighted
2939 : * T2 matrix. Return m in I with T2(m) small */
2940 : INLINE GEN
2941 146067 : idealpseudomin(GEN I, GEN G)
2942 : {
2943 146067 : GEN u = ZM_lll(ZM_mul(G, I), 0.99, LLL_IM);
2944 146067 : return ZM_ZC_mul(I, gel(u,1));
2945 : }
2946 : /* I, G as in idealpseudomin. Return an irrational m in I with T2(m) small */
2947 : INLINE GEN
2948 315222 : idealpseudomin_nonscalar(GEN I, GEN G)
2949 : {
2950 315222 : GEN u = ZM_lll(ZM_mul(G, I), 0.99, LLL_IM);
2951 315222 : GEN m = ZM_ZC_mul(I, gel(u,1));
2952 315222 : if (ZV_isscalar(m) && lg(u) > 2) m = ZM_ZC_mul(I, gel(u,2));
2953 315222 : return m;
2954 : }
2955 :
2956 : INLINE GEN
2957 938 : idealred_elt(GEN nf, GEN I) {
2958 938 : pari_sp av = avma;
2959 938 : GEN u = idealpseudomin(I, nf_get_roundG(nf));
2960 938 : return gerepileupto(av, u);
2961 : }
2962 : INLINE GEN
2963 128023 : idealred(GEN nf, GEN I) { return idealred0(nf, I, NULL); }
2964 :
2965 : INLINE GEN
2966 2058 : idealchineseinit(GEN nf, GEN x)
2967 2058 : { return idealchinese(nf,x,NULL); }
2968 :
2969 : /*******************************************************************/
2970 : /* */
2971 : /* CLOSURES */
2972 : /* */
2973 : /*******************************************************************/
2974 232341337 : INLINE long closure_arity(GEN C) { return ((ulong)C[1])&ARITYBITS; }
2975 35703129 : INLINE long closure_is_variadic(GEN C) { return !!(((ulong)C[1])&VARARGBITS); }
2976 193067065 : INLINE const char *closure_codestr(GEN C) { return GSTR(gel(C,2))-1; }
2977 0 : INLINE GEN closure_get_code(GEN C) { return gel(C,2); }
2978 193045679 : INLINE GEN closure_get_oper(GEN C) { return gel(C,3); }
2979 193028341 : INLINE GEN closure_get_data(GEN C) { return gel(C,4); }
2980 9922 : INLINE GEN closure_get_dbg(GEN C) { return gel(C,5); }
2981 23806 : INLINE GEN closure_get_text(GEN C) { return gel(C,6); }
2982 4691808 : INLINE GEN closure_get_frame(GEN C) { return gel(C,7); }
2983 :
2984 : /*******************************************************************/
2985 : /* */
2986 : /* ERRORS */
2987 : /* */
2988 : /*******************************************************************/
2989 : INLINE long
2990 53592 : err_get_num(GEN e) { return e[1]; }
2991 : INLINE GEN
2992 105 : err_get_compo(GEN e, long i) { return gel(e, i+1); }
2993 :
2994 : INLINE void
2995 14 : pari_err_BUG(const char *f) { pari_err(e_BUG,f); }
2996 : INLINE void
2997 7 : pari_err_CONSTPOL(const char *f) { pari_err(e_CONSTPOL, f); }
2998 : INLINE void
2999 63 : pari_err_COPRIME(const char *f, GEN x, GEN y) { pari_err(e_COPRIME, f,x,y); }
3000 : INLINE void
3001 494 : pari_err_DIM(const char *f) { pari_err(e_DIM, f); }
3002 : INLINE void
3003 0 : pari_err_FILE(const char *f, const char *g) { pari_err(e_FILE, f,g); }
3004 : INLINE void
3005 0 : pari_err_FILEDESC(const char *f, long n) { pari_err(e_FILEDESC, f,n); }
3006 : INLINE void
3007 77 : pari_err_FLAG(const char *f) { pari_err(e_FLAG,f); }
3008 : INLINE void
3009 434 : pari_err_IMPL(const char *f) { pari_err(e_IMPL,f); }
3010 : INLINE void
3011 19751 : pari_err_INV(const char *f, GEN x) { pari_err(e_INV,f,x); }
3012 : INLINE void
3013 42 : pari_err_IRREDPOL(const char *f, GEN x) { pari_err(e_IRREDPOL, f,x); }
3014 : INLINE void
3015 2113 : 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); }
3016 : INLINE void
3017 200 : pari_err_COMPONENT(const char *f, const char *op, GEN l, GEN x) { pari_err(e_COMPONENT, f,op,l,x); }
3018 : INLINE void
3019 0 : pari_err_MAXPRIME(ulong c) { pari_err(e_MAXPRIME, c); }
3020 : INLINE void
3021 364 : pari_err_OP(const char *f, GEN x, GEN y) { pari_err(e_OP, f,x,y); }
3022 : INLINE void
3023 100 : pari_err_OVERFLOW(const char *f) { pari_err(e_OVERFLOW, f); }
3024 : INLINE void
3025 225 : pari_err_PREC(const char *f) { pari_err(e_PREC,f); }
3026 : INLINE void
3027 0 : pari_err_PACKAGE(const char *f) { pari_err(e_PACKAGE,f); }
3028 : INLINE void
3029 70 : pari_err_PRIME(const char *f, GEN x) { pari_err(e_PRIME, f,x); }
3030 : INLINE void
3031 749 : pari_err_MODULUS(const char *f, GEN x, GEN y) { pari_err(e_MODULUS, f,x,y); }
3032 : INLINE void
3033 49 : pari_err_ROOTS0(const char *f) { pari_err(e_ROOTS0, f); }
3034 : INLINE void
3035 84 : pari_err_SQRTN(const char *f, GEN x) { pari_err(e_SQRTN, f,x); }
3036 : INLINE void
3037 12741 : pari_err_TYPE(const char *f, GEN x) { pari_err(e_TYPE, f,x); }
3038 : INLINE void
3039 3381 : pari_err_TYPE2(const char *f, GEN x, GEN y) { pari_err(e_TYPE2, f,x,y); }
3040 : INLINE void
3041 280 : pari_err_VAR(const char *f, GEN x, GEN y) { pari_err(e_VAR, f,x,y); }
3042 : INLINE void
3043 196 : pari_err_PRIORITY(const char *f, GEN x, const char *op, long v)
3044 196 : { pari_err(e_PRIORITY, f,x,op,v); }
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