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 3186662 : mkintmod(GEN x, GEN y) { retmkintmod(x,y); }
141 : INLINE GEN
142 4760 : mkintmodu(ulong x, ulong y) {
143 4760 : GEN v = cgetg(3,t_INTMOD);
144 4760 : gel(v,1) = utoipos(y);
145 4760 : gel(v,2) = utoi(x); return v;
146 : }
147 : INLINE GEN
148 2954084 : mkpolmod(GEN x, GEN y) { retmkpolmod(x,y); }
149 : INLINE GEN
150 23392218 : mkfrac(GEN x, GEN y) { retmkfrac(x,y); }
151 : INLINE GEN
152 32137 : 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 13097 : Qtoss(GEN q, long *n, long *d)
156 : {
157 13097 : if (typ(q) == t_INT) { *n = itos(q); *d = 1; }
158 2443 : else { *n = itos(gel(q,1)); *d = itou(gel(q,2)); }
159 13097 : }
160 : INLINE GEN
161 71387934 : sstoQ(long n, long d)
162 : {
163 : ulong r;
164 : long g, q;
165 71387934 : if (!n)
166 : {
167 99519 : if (!d) pari_err_INV("sstoQ",gen_0);
168 99519 : return gen_0;
169 : }
170 71288415 : if (d < 0) { d = -d; n = -n; }
171 71288415 : if (d == 1) return stoi(n);
172 71276424 : q = udivuu_rem(labs(n),d,&r);
173 71276424 : if (!r) return n > 0? utoipos(q): utoineg(q);
174 3638798 : g = ugcd(d,r); /* gcd(n,d) */
175 3638798 : if (g != 1) { n /= g; d /= g; }
176 3638798 : retmkfrac(stoi(n), utoi(d));
177 : }
178 :
179 : INLINE GEN
180 16028407 : 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 10479861 : mkcomplex(GEN x, GEN y) { retmkcomplex(x,y); }
189 : INLINE GEN
190 450951 : gen_I(void) { return mkcomplex(gen_0, gen_1); }
191 : INLINE GEN
192 298779 : 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 71312010 : mkvecsmall(long x) { GEN v = cgetg(2, t_VECSMALL); v[1] = x; return v; }
199 : INLINE GEN
200 114707663 : mkvecsmall2(long x,long y) { GEN v = cgetg(3, t_VECSMALL);
201 114728264 : v[1]=x; v[2]=y; return v; }
202 : INLINE GEN
203 58451173 : mkvecsmall3(long x,long y,long z) { GEN v = cgetg(4, t_VECSMALL);
204 58445332 : v[1]=x; v[2]=y; v[3]=z; return v; }
205 : INLINE GEN
206 11955292 : mkvecsmall4(long x,long y,long z,long t) { GEN v = cgetg(5, t_VECSMALL);
207 11945050 : v[1]=x; v[2]=y; v[3]=z; v[4]=t; return v; }
208 : INLINE GEN
209 466834 : mkvecsmall5(long x,long y,long z,long t,long u) { GEN v = cgetg(6, t_VECSMALL);
210 466832 : 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 15115917 : mkvec(GEN x) { retmkvec(x); }
217 : INLINE GEN
218 103382553 : mkvec2(GEN x, GEN y) { retmkvec2(x,y); }
219 : INLINE GEN
220 77397744 : mkvec3(GEN x, GEN y, GEN z) { retmkvec3(x,y,z); }
221 : INLINE GEN
222 7277245 : mkvec4(GEN x, GEN y, GEN z, GEN t) { retmkvec4(x,y,z,t); }
223 : INLINE GEN
224 12165750 : 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 23826 : 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 100228 : mkvec2copy(GEN x, GEN y) {
237 100228 : GEN v = cgetg(3,t_VEC); gel(v,1) = gcopy(x); gel(v,2) = gcopy(y); return v; }
238 : /* col */
239 : INLINE GEN
240 2545642 : mkcol(GEN x) { retmkcol(x); }
241 : INLINE GEN
242 25662176 : 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 8716 : 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 2179646 : 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 52717 : mkcolcopy(GEN x) { GEN v = cgetg(2, t_COL); gel(v,1) = gcopy(x); return v; }
261 : /* mat */
262 : INLINE GEN
263 2558760 : mkmat(GEN x) { retmkmat(x); }
264 : INLINE GEN
265 32220942 : 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 23944 : 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 97539 : mkoo(void) { GEN v = cgetg(2, t_INFINITY); gel(v,1) = gen_1; return v; }
278 : INLINE GEN
279 17969 : mkmoo(void) { GEN v = cgetg(2, t_INFINITY); gel(v,1) = gen_m1; return v; }
280 : INLINE long
281 135420 : inf_get_sign(GEN x) { return signe(gel(x,1)); }
282 : INLINE GEN
283 12411 : mkmat22s(long a, long b, long c, long d) {retmkmat2(mkcol2s(a,c),mkcol2s(b,d));}
284 : INLINE GEN
285 1533126 : mkmat22(GEN a, GEN b, GEN c, GEN d) { retmkmat2(mkcol2(a,c),mkcol2(b,d)); }
286 :
287 : /* pol */
288 : INLINE GEN
289 1007832 : pol_x(long v) {
290 1007832 : GEN p = cgetg(4, t_POL);
291 1007830 : p[1] = evalsigne(1)|evalvarn(v);
292 1007830 : gel(p,2) = gen_0;
293 1007830 : gel(p,3) = gen_1; return p;
294 : }
295 : /* x^n, assume n >= 0 */
296 : INLINE GEN
297 8779724 : pol_xn(long n, long v) {
298 8779724 : long i, a = n+2;
299 8779724 : GEN p = cgetg(a+1, t_POL);
300 8779724 : p[1] = evalsigne(1)|evalvarn(v);
301 8779724 : for (i = 2; i < a; i++) gel(p,i) = gen_0;
302 8779724 : 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 1445552 : pol_1(long v) {
313 1445552 : GEN p = cgetg(3, t_POL);
314 1445553 : p[1] = evalsigne(1)|evalvarn(v);
315 1445553 : gel(p,2) = gen_1; return p;
316 : }
317 : INLINE GEN
318 32621503 : pol_0(long v)
319 : {
320 32621503 : GEN x = cgetg(2,t_POL);
321 32621503 : 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 9083849 : 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 8688733 : const_col(long n, GEN x) { retconst_col(n, x); }
337 : INLINE GEN
338 8766930 : const_vecsmall(long n, long c)
339 : {
340 : long i;
341 8766930 : GEN V = cgetg(n+1,t_VECSMALL);
342 8767135 : for(i=1;i<=n;i++) V[i] = c;
343 8767135 : return V;
344 : }
345 :
346 : /*** ZERO ***/
347 : /* O(p^e) */
348 : INLINE GEN
349 363703 : zeropadic(GEN p, long e)
350 : {
351 363703 : GEN y = cgetg(5,t_PADIC);
352 363703 : gel(y,4) = gen_0;
353 363703 : gel(y,3) = gen_1;
354 363703 : gel(y,2) = icopy(p);
355 363703 : y[1] = evalvalp(e) | _evalprecp(0);
356 363703 : 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 144137 : zeroser(long v, long e)
371 : {
372 144137 : GEN x = cgetg(2, t_SER);
373 144137 : x[1] = evalvalp(e) | evalvarn(v); return x;
374 : }
375 : INLINE int
376 5768477 : ser_isexactzero(GEN x)
377 : {
378 5768477 : if (!signe(x)) switch(lg(x))
379 : {
380 136521 : case 2: return 1;
381 854 : case 3: return isexactzero(gel(x,2));
382 : }
383 5631102 : return 0;
384 : }
385 : /* 0 * pol_x(v) */
386 : INLINE GEN
387 15549867 : zeropol(long v) { return pol_0(v); }
388 : /* vector(n) */
389 : INLINE GEN
390 37571550 : zerocol(long n)
391 : {
392 37571550 : GEN y = cgetg(n+1,t_COL);
393 37571800 : long i; for (i=1; i<=n; i++) gel(y,i) = gen_0;
394 37571800 : return y;
395 : }
396 : /* vectorv(n) */
397 : INLINE GEN
398 21855509 : zerovec(long n)
399 : {
400 21855509 : GEN y = cgetg(n+1,t_VEC);
401 21855512 : long i; for (i=1; i<=n; i++) gel(y,i) = gen_0;
402 21855512 : return y;
403 : }
404 : /* matrix(m, n) */
405 : INLINE GEN
406 23877 : zeromat(long m, long n)
407 : {
408 23877 : GEN y = cgetg(n+1,t_MAT);
409 23877 : GEN v = zerocol(m);
410 23877 : long i; for (i=1; i<=n; i++) gel(y,i) = v;
411 23877 : return y;
412 : }
413 : /* = zero_zx, sv is a evalvarn()*/
414 : INLINE GEN
415 930137 : zero_Flx(long sv) { return pol0_Flx(sv); }
416 : INLINE GEN
417 34072540 : zero_Flv(long n)
418 : {
419 34072540 : GEN y = cgetg(n+1,t_VECSMALL);
420 34074296 : long i; for (i=1; i<=n; i++) y[i] = 0;
421 34074296 : return y;
422 : }
423 : /* matrix(m, n) */
424 : INLINE GEN
425 981482 : zero_Flm(long m, long n)
426 : {
427 981482 : GEN y = cgetg(n+1,t_MAT);
428 981457 : GEN v = zero_Flv(m);
429 981436 : long i; for (i=1; i<=n; i++) gel(y,i) = v;
430 981436 : return y;
431 : }
432 : /* matrix(m, n) */
433 : INLINE GEN
434 111495 : zero_Flm_copy(long m, long n)
435 : {
436 111495 : GEN y = cgetg(n+1,t_MAT);
437 111498 : long i; for (i=1; i<=n; i++) gel(y,i) = zero_Flv(m);
438 111500 : return y;
439 : }
440 :
441 : INLINE GEN
442 869468 : zero_F2v(long m)
443 : {
444 869468 : long l = nbits2nlong(m);
445 869468 : GEN v = zero_Flv(l+1);
446 869468 : v[1] = m;
447 869468 : 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 299722 : zero_F2m_copy(long m, long n)
464 : {
465 : long i;
466 299722 : GEN M = cgetg(n+1, t_MAT);
467 889168 : for (i = 1; i <= n; i++)
468 589446 : gel(M,i)= zero_F2v(m);
469 299722 : return M;
470 : }
471 :
472 : /* matrix(m, n) */
473 : INLINE GEN
474 4907658 : zeromatcopy(long m, long n)
475 : {
476 4907658 : GEN y = cgetg(n+1,t_MAT);
477 4907658 : long i; for (i=1; i<=n; i++) gel(y,i) = zerocol(m);
478 4907658 : 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 1501707 : col_ei(long n, long i) { GEN e = zerocol(n); gel(e,i) = gen_1; return e; }
494 : INLINE GEN
495 349364 : 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 75103 : vecsmall_ei(long n, long i) { GEN e = zero_zv(n); e[i] = 1; return e; }
500 : INLINE GEN
501 707827 : Rg_col_ei(GEN x, long n, long i) { GEN e = zerocol(n); gel(e,i) = x; return e; }
502 :
503 : INLINE GEN
504 12800607 : shallowcopy(GEN x)
505 12800607 : { return typ(x) == t_MAT ? RgM_shallowcopy(x): leafcopy(x); }
506 :
507 : /* routines for naive growarrays */
508 : INLINE GEN
509 12718173 : vectrunc_init(long l)
510 : {
511 12718173 : GEN z = new_chunk(l);
512 12718498 : z[0] = evaltyp(t_VEC) | _evallg(1); return z;
513 : }
514 : INLINE GEN
515 203 : coltrunc_init(long l)
516 : {
517 203 : GEN z = new_chunk(l);
518 203 : z[0] = evaltyp(t_COL) | _evallg(1); return z;
519 : }
520 : INLINE void
521 261901042 : lg_increase(GEN x) { x[0]++; }
522 : INLINE void
523 51343385 : 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 86318253 : vecsmalltrunc_init(long l)
534 : {
535 86318253 : GEN z = new_chunk(l);
536 86318253 : z[0] = evaltyp(t_VECSMALL) | _evallg(1); return z;
537 : }
538 : INLINE void
539 33198618 : 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 1969456 : hash_str(const char *str)
548 : {
549 1969456 : ulong hash = 5381UL, c;
550 21353574 : while ( (c = (ulong)*str++) )
551 17414662 : hash = ((hash << 5) + hash) + c; /* hash * 33 + c */
552 1969456 : return hash;
553 : }
554 : INLINE ulong
555 6598422 : hash_str_len(const char *str, long len)
556 : {
557 6598422 : ulong hash = 5381UL;
558 : long i;
559 25115435 : for (i = 0; i < len; i++)
560 : {
561 18517013 : ulong c = (ulong)*str++;
562 18517013 : hash = ((hash << 5) + hash) + c; /* hash * 33 + c */
563 : }
564 6598422 : 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 13710 : vec_lengthen(GEN v, long n)
584 : {
585 : long i;
586 13710 : long l=lg(v);
587 13710 : GEN V = cgetg(n+1,t_VEC);
588 13710 : for(i=1;i<l;i++) gel(V,i) = gel(v,i);
589 13710 : return V;
590 : }
591 : /* shallow*/
592 : INLINE GEN
593 64610 : vec_append(GEN V, GEN s)
594 : {
595 64610 : long i, l2 = lg(V);
596 64610 : GEN res = cgetg(l2+1, typ(V));
597 64610 : for (i = 1; i < l2; ++i) gel(res, i) = gel(V,i);
598 64610 : gel(res,l2) = s; return res;
599 : }
600 : /* shallow*/
601 : INLINE GEN
602 1813 : vec_prepend(GEN v, GEN s)
603 : {
604 1813 : long i, l = lg(v);
605 1813 : GEN w = cgetg(l+1, typ(v));
606 1813 : gel(w,1) = s;
607 1813 : for (i = 2; i <= l; ++i) gel(w,i) = gel(v,i-1);
608 1813 : 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 41786 : vecsmall_shorten(GEN v, long n)
620 : {
621 : long i;
622 41786 : GEN V = cgetg(n+1,t_VECSMALL);
623 41789 : for(i=1;i<=n;i++) V[i] = v[i];
624 41789 : 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 3323990 : vec_to_vecsmall(GEN x)
637 3323990 : { pari_APPLY_long(itos(gel(x,i))) }
638 : INLINE GEN
639 135879 : vecsmall_to_vec(GEN x)
640 135879 : { pari_APPLY_type(t_VEC, stoi(x[i])) }
641 : INLINE GEN
642 1624 : vecsmall_to_vec_inplace(GEN z)
643 : {
644 1624 : long i, l = lg(z);
645 1624 : for (i=1; i<l; i++) gel(z,i) = stoi(z[i]);
646 1624 : settyp(z, t_VEC); return z;
647 : }
648 : INLINE GEN
649 5248987 : vecsmall_to_col(GEN x)
650 5248987 : { pari_APPLY_type(t_COL, stoi(x[i])) }
651 :
652 : INLINE int
653 8141631 : vecsmall_lexcmp(GEN x, GEN y)
654 : {
655 : long lx,ly,l,i;
656 8141631 : lx = lg(x);
657 8141631 : ly = lg(y); l = minss(lx,ly);
658 39708479 : for (i=1; i<l; i++)
659 37836550 : if (x[i] != y[i]) return x[i]<y[i]? -1: 1;
660 1871929 : if (lx == ly) return 0;
661 14 : return (lx < ly)? -1 : 1;
662 : }
663 :
664 : INLINE int
665 85155511 : vecsmall_prefixcmp(GEN x, GEN y)
666 : {
667 85155511 : long i, lx = lg(x), ly = lg(y), l = minss(lx,ly);
668 394027655 : for (i=1; i<l; i++)
669 374395014 : if (x[i] != y[i]) return x[i]<y[i]? -1: 1;
670 19632641 : return 0;
671 : }
672 :
673 : /*Can be used on t_VEC, but coeffs not gcopy-ed*/
674 : INLINE GEN
675 21449 : vecsmall_prepend(GEN V, long s)
676 : {
677 21449 : long i, l2 = lg(V);
678 21449 : GEN res = cgetg(l2+1, typ(V));
679 21449 : res[1] = s;
680 21449 : for (i = 2; i <= l2; ++i) res[i] = V[i - 1];
681 21449 : return res;
682 : }
683 :
684 : INLINE GEN
685 3132905 : vecsmall_append(GEN V, long s)
686 : {
687 3132905 : long i, l2 = lg(V);
688 3132905 : GEN res = cgetg(l2+1, t_VECSMALL);
689 3132905 : for (i = 1; i < l2; ++i) res[i] = V[i];
690 3132905 : res[l2] = s; return res;
691 : }
692 :
693 : INLINE GEN
694 841446 : vecsmall_concat(GEN u, GEN v)
695 : {
696 841446 : long i, l1 = lg(u)-1, l2 = lg(v)-1;
697 841446 : GEN res = cgetg(l1+l2+1, t_VECSMALL);
698 841446 : for (i = 1; i <= l1; ++i) res[i] = u[i];
699 841446 : for (i = 1; i <= l2; ++i) res[i+l1] = v[i];
700 841446 : 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 178753 : vecsmall_max(GEN x)
742 : {
743 178753 : long i, t = x[1], lx = lg(x);
744 641298 : for (i=2; i<lx; i++)
745 462545 : if (x[i] > t) t = x[i];
746 178753 : 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 5113995 : ZV_isscalar(GEN x)
769 : {
770 5113995 : long l = lg(x);
771 14613986 : while (--l > 1)
772 8381360 : if (signe(gel(x, l))) return 0;
773 1118631 : return 1;
774 : }
775 : INLINE int
776 21524799 : QV_isscalar(GEN x)
777 : {
778 21524799 : long lx = lg(x),i;
779 23183826 : for (i=2; i<lx; i++)
780 22561937 : if (!isintzero(gel(x, i))) return 0;
781 621889 : return 1;
782 : }
783 : INLINE int
784 7823 : RgV_isscalar(GEN x)
785 : {
786 7823 : long lx = lg(x),i;
787 11689 : for (i=2; i<lx; i++)
788 10285 : if (!gequal0(gel(x, i))) return 0;
789 1404 : 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 28827224 : RgX_equal_var(GEN x, GEN y) { return varn(x) == varn(y) && RgX_equal(x,y); }
801 :
802 : INLINE int
803 7596 : RgX_is_rational(GEN x)
804 : {
805 : long i;
806 34454 : for (i = lg(x)-1; i > 1; i--)
807 31989 : if (!is_rational_t(typ(gel(x,i)))) return 0;
808 2465 : return 1;
809 : }
810 : INLINE int
811 4688974 : RgX_is_ZX(GEN x)
812 : {
813 : long i;
814 20281160 : for (i = lg(x)-1; i > 1; i--)
815 15644776 : if (typ(gel(x,i)) != t_INT) return 0;
816 4636384 : return 1;
817 : }
818 : INLINE int
819 266559 : RgX_is_QX(GEN x)
820 : {
821 266559 : long k = lg(x)-1;
822 945307 : for ( ; k>1; k--)
823 679000 : if (!is_rational_t(typ(gel(x,k)))) return 0;
824 266307 : return 1;
825 : }
826 : INLINE int
827 2347732 : RgX_is_monomial(GEN x)
828 : {
829 : long i;
830 2347732 : if (!signe(x)) return 0;
831 5857662 : for (i=lg(x)-2; i>1; i--)
832 3565090 : if (!isexactzero(gel(x,i))) return 0;
833 2292572 : return 1;
834 : }
835 : INLINE int
836 27475818 : RgV_is_ZV(GEN x)
837 : {
838 : long i;
839 112612118 : for (i = lg(x)-1; i > 0; i--)
840 85138785 : if (typ(gel(x,i)) != t_INT) return 0;
841 27473333 : return 1;
842 : }
843 : INLINE int
844 23041 : RgV_is_QV(GEN x)
845 : {
846 : long i;
847 101170 : for (i = lg(x)-1; i > 0; i--)
848 79760 : if (!is_rational_t(typ(gel(x,i)))) return 0;
849 21410 : return 1;
850 : }
851 :
852 : /********************************************************************/
853 : /** **/
854 : /** Dynamic arrays implementation **/
855 : /** **/
856 : /********************************************************************/
857 : INLINE void **
858 403192702 : pari_stack_base(pari_stack *s) { return s->data; }
859 :
860 : INLINE void
861 1976971 : pari_stack_init(pari_stack *s, size_t size, void **data)
862 : {
863 1976971 : s->data = data;
864 1976971 : *data = NULL;
865 1976971 : s->n = 0;
866 1976971 : s->alloc = 0;
867 1976971 : s->size = size;
868 1976971 : }
869 :
870 : INLINE void
871 401424939 : pari_stack_alloc(pari_stack *s, long nb)
872 : {
873 401424939 : void **sdat = pari_stack_base(s);
874 401328854 : long alloc = s->alloc;
875 401328854 : if (s->n+nb <= alloc) return;
876 810311 : if (!alloc)
877 750713 : alloc = nb;
878 : else
879 : {
880 59598 : while (s->n+nb > alloc) alloc <<= 1;
881 : }
882 810311 : *sdat = pari_realloc(*sdat,alloc*s->size);
883 811020 : s->alloc = alloc;
884 : }
885 :
886 : INLINE long
887 323580957 : pari_stack_new(pari_stack *s) { pari_stack_alloc(s, 1); return s->n++; }
888 :
889 : INLINE void
890 1804466 : pari_stack_delete(pari_stack *s)
891 : {
892 1804466 : void **sdat = pari_stack_base(s);
893 1800467 : if (*sdat) pari_free(*sdat);
894 1812434 : }
895 :
896 : INLINE void
897 4829 : pari_stack_pushp(pari_stack *s, void *u)
898 : {
899 4829 : long n = pari_stack_new(s);
900 4829 : void **sdat =(void**) *pari_stack_base(s);
901 4829 : sdat[n] = u;
902 4829 : }
903 :
904 : /*******************************************************************/
905 : /* */
906 : /* EXTRACT */
907 : /* */
908 : /*******************************************************************/
909 : INLINE GEN
910 210386339 : vecslice(GEN A, long y1, long y2)
911 : {
912 210386339 : long i,lB = y2 - y1 + 2;
913 210386339 : GEN B = cgetg(lB, typ(A));
914 210392013 : for (i=1; i<lB; i++) B[i] = A[y1-1+i];
915 210392013 : return B;
916 : }
917 : INLINE GEN
918 861265 : vecslicepermute(GEN A, GEN p, long y1, long y2)
919 : {
920 861265 : long i,lB = y2 - y1 + 2;
921 861265 : GEN B = cgetg(lB, typ(A));
922 861274 : for (i=1; i<lB; i++) B[i] = A[p[y1-1+i]];
923 861274 : return B;
924 : }
925 : /* rowslice(rowpermute(A,p), x1, x2) */
926 : INLINE GEN
927 42894 : rowslicepermute(GEN x, GEN p, long j1, long j2)
928 42894 : { pari_APPLY_same(vecslicepermute(gel(x,i),p,j1,j2)) }
929 :
930 : INLINE GEN
931 23705151 : rowslice(GEN x, long j1, long j2)
932 23705151 : { pari_APPLY_same(vecslice(gel(x,i), j1, j2)) }
933 :
934 : INLINE GEN
935 3857087 : matslice(GEN A, long x1, long x2, long y1, long y2)
936 3857087 : { return rowslice(vecslice(A, y1, y2), x1, x2); }
937 :
938 : /* shallow, remove coeff of index j */
939 : INLINE GEN
940 133 : rowsplice(GEN x, long j)
941 133 : { pari_APPLY_same(vecsplice(gel(x,i), j)) }
942 :
943 : /* shallow, remove coeff of index j */
944 : INLINE GEN
945 264286 : vecsplice(GEN a, long j)
946 : {
947 264286 : long i, k, l = lg(a);
948 : GEN b;
949 264286 : if (l == 1) pari_err(e_MISC, "incorrect component in vecsplice");
950 264286 : b = cgetg(l-1, typ(a));
951 1055722 : for (i = k = 1; i < l; i++)
952 791436 : if (i != j) gel(b, k++) = gel(a,i);
953 264286 : return b;
954 : }
955 : /* shallow */
956 : INLINE GEN
957 833 : RgM_minor(GEN a, long i, long j)
958 : {
959 833 : GEN b = vecsplice(a, j);
960 833 : long k, l = lg(b);
961 833 : for (k = 1; k < l; k++) gel(b,k) = vecsplice(gel(b,k), i);
962 833 : return b;
963 : }
964 :
965 : /* A[x0,] */
966 : INLINE GEN
967 391751 : row(GEN x, long j)
968 391751 : { pari_APPLY_type(t_VEC, gcoeff(x, j, i)) }
969 : INLINE GEN
970 4046124 : Flm_row(GEN x, long j)
971 4046124 : { pari_APPLY_ulong((ulong)coeff(x, j, i)) }
972 : /* A[x0,] */
973 : INLINE GEN
974 204834 : rowcopy(GEN x, long j)
975 204834 : { pari_APPLY_type(t_VEC, gcopy(gcoeff(x, j, i))) }
976 : /* A[x0, x1..x2] */
977 : INLINE GEN
978 2989 : row_i(GEN A, long x0, long x1, long x2)
979 : {
980 2989 : long i, lB = x2 - x1 + 2;
981 2989 : GEN B = cgetg(lB, t_VEC);
982 2989 : for (i=x1; i<=x2; i++) gel(B, i) = gcoeff(A, x0, i);
983 2989 : return B;
984 : }
985 :
986 : INLINE GEN
987 5830574 : vecreverse(GEN A)
988 : {
989 : long i, l;
990 5830574 : GEN B = cgetg_copy(A, &l);
991 5830574 : for (i=1; i<l; i++) gel(B, i) = gel(A, l-i);
992 5830574 : return B;
993 : }
994 :
995 : INLINE GEN
996 525 : vecsmall_reverse(GEN A)
997 : {
998 : long i, l;
999 525 : GEN B = cgetg_copy(A, &l);
1000 525 : for (i=1; i<l; i++) B[i] = A[l-i];
1001 525 : return B;
1002 : }
1003 :
1004 : INLINE void
1005 253 : vecreverse_inplace(GEN y)
1006 : {
1007 253 : long l = lg(y), lim = l>>1, i;
1008 717 : for (i = 1; i <= lim; i++)
1009 : {
1010 464 : GEN z = gel(y,i);
1011 464 : gel(y,i) = gel(y,l-i);
1012 464 : gel(y,l-i) = z;
1013 : }
1014 253 : }
1015 :
1016 : INLINE GEN
1017 47045874 : vecsmallpermute(GEN A, GEN p) { return perm_mul(A, p); }
1018 :
1019 : INLINE GEN
1020 6838338 : vecpermute(GEN A, GEN x)
1021 6838338 : { pari_APPLY_type(typ(A), gel(A, x[i])) }
1022 :
1023 : INLINE GEN
1024 3266676 : rowpermute(GEN x, GEN p)
1025 3266676 : { pari_APPLY_same(typ(gel(x,i)) == t_VECSMALL ? vecsmallpermute(gel(x, i), p)
1026 : : vecpermute(gel(x, i), p))
1027 : }
1028 : /*******************************************************************/
1029 : /* */
1030 : /* PERMUTATIONS */
1031 : /* */
1032 : /*******************************************************************/
1033 : INLINE GEN
1034 763515 : identity_zv(long n)
1035 : {
1036 763515 : GEN v = cgetg(n+1, t_VECSMALL);
1037 : long i;
1038 763491 : for (i = 1; i <= n; i++) v[i] = i;
1039 763491 : return v;
1040 : }
1041 : INLINE GEN
1042 2100 : identity_ZV(long n)
1043 : {
1044 2100 : GEN v = cgetg(n+1, t_VEC);
1045 : long i;
1046 2100 : for (i = 1; i <= n; i++) gel(v,i) = utoipos(i);
1047 2100 : return v;
1048 : }
1049 : /* identity permutation */
1050 : INLINE GEN
1051 763026 : identity_perm(long n) { return identity_zv(n); }
1052 :
1053 : /* assume d <= n */
1054 : INLINE GEN
1055 98434 : cyclic_perm(long n, long d)
1056 : {
1057 98434 : GEN perm = cgetg(n+1, t_VECSMALL);
1058 : long i;
1059 98434 : for (i = 1; i <= n-d; i++) perm[i] = i+d;
1060 98434 : for ( ; i <= n; i++) perm[i] = i-n+d;
1061 98434 : return perm;
1062 : }
1063 :
1064 : /* Multiply (compose) two permutations */
1065 : INLINE GEN
1066 48321985 : perm_mul(GEN s, GEN x)
1067 48321985 : { pari_APPLY_long(s[x[i]]) }
1068 :
1069 : /* Compute the inverse (reciprocal) of a permutation. */
1070 : INLINE GEN
1071 1219494 : perm_inv(GEN x)
1072 : {
1073 : long i, lx;
1074 1219494 : GEN y = cgetg_copy(x, &lx);
1075 1219495 : for (i=1; i<lx; i++) y[ x[i] ] = i;
1076 1219495 : return y;
1077 : }
1078 : /* Return s*t*s^-1 */
1079 : INLINE GEN
1080 416976 : perm_conj(GEN s, GEN t)
1081 : {
1082 : long i, l;
1083 416976 : GEN v = cgetg_copy(s, &l);
1084 416976 : for (i = 1; i < l; i++) v[ s[i] ] = s[ t[i] ];
1085 416976 : return v;
1086 : }
1087 :
1088 : /*********************************************************************/
1089 : /* MALLOC/FREE WRAPPERS */
1090 : /*********************************************************************/
1091 : #define BLOCK_SIGALRM_START \
1092 : { \
1093 : int block=PARI_SIGINT_block; \
1094 : PARI_SIGINT_block = 2; \
1095 : MT_SIGINT_BLOCK(block);
1096 :
1097 : #define BLOCK_SIGINT_START \
1098 : { \
1099 : int block=PARI_SIGINT_block; \
1100 : PARI_SIGINT_block = 1; \
1101 : MT_SIGINT_BLOCK(block);
1102 :
1103 : #define BLOCK_SIGINT_END \
1104 : PARI_SIGINT_block = block; \
1105 : MT_SIGINT_UNBLOCK(block); \
1106 : if (!block && PARI_SIGINT_pending) \
1107 : { \
1108 : int sig = PARI_SIGINT_pending; \
1109 : PARI_SIGINT_pending = 0; \
1110 : raise(sig); \
1111 : } \
1112 : }
1113 :
1114 : INLINE void
1115 73632480 : pari_free(void *pointer)
1116 : {
1117 73632480 : BLOCK_SIGINT_START;
1118 73657060 : free(pointer);
1119 73657060 : BLOCK_SIGINT_END;
1120 73650848 : }
1121 : INLINE void*
1122 280630508 : pari_malloc(size_t size)
1123 : {
1124 280630508 : if (size)
1125 : {
1126 : char *tmp;
1127 280630508 : BLOCK_SIGINT_START;
1128 280633103 : tmp = (char*)malloc(size);
1129 280633103 : BLOCK_SIGINT_END;
1130 280632568 : if (!tmp) pari_err(e_MEM);
1131 280632568 : return tmp;
1132 : }
1133 0 : return NULL;
1134 : }
1135 : INLINE void*
1136 825116 : pari_realloc(void *pointer, size_t size)
1137 : {
1138 : char *tmp;
1139 :
1140 825116 : BLOCK_SIGINT_START;
1141 828045 : if (!pointer) tmp = (char *) malloc(size);
1142 63890 : else tmp = (char *) realloc(pointer,size);
1143 828045 : BLOCK_SIGINT_END;
1144 827037 : if (!tmp) pari_err(e_MEM);
1145 827037 : return tmp;
1146 : }
1147 : INLINE void*
1148 37797 : pari_calloc(size_t size)
1149 : {
1150 37797 : void *t = pari_malloc(size);
1151 37797 : memset(t, 0, size); return t;
1152 : }
1153 : INLINE GEN
1154 5845 : cgetalloc(long t, size_t l)
1155 : {
1156 5845 : GEN x = (GEN)pari_malloc(l * sizeof(long));
1157 5845 : x[0] = evaltyp(t) | evallg(l); return x;
1158 : }
1159 :
1160 : /*******************************************************************/
1161 : /* */
1162 : /* GARBAGE COLLECTION */
1163 : /* */
1164 : /*******************************************************************/
1165 : /* copy integer x as if we had set_avma(av) */
1166 : INLINE GEN
1167 3849527288 : icopy_avma(GEN x, pari_sp av)
1168 : {
1169 3849527288 : long i = lgefint(x), lx = i;
1170 3849527288 : GEN y = ((GEN)av) - i;
1171 3849527288 : while (--i > 0) y[i] = x[i];
1172 3849527288 : y[0] = evaltyp(t_INT)|evallg(lx);
1173 3849305858 : return y;
1174 : }
1175 : /* copy leaf x as if we had set_avma(av) */
1176 : INLINE GEN
1177 188587348 : leafcopy_avma(GEN x, pari_sp av)
1178 : {
1179 188587348 : long i = lg(x);
1180 188587348 : GEN y = ((GEN)av) - i;
1181 188587348 : while (--i > 0) y[i] = x[i];
1182 188587348 : y[0] = x[0] & (~CLONEBIT);
1183 188587348 : return y;
1184 : }
1185 : INLINE GEN
1186 666289770 : gerepileuptoleaf(pari_sp av, GEN x)
1187 : {
1188 : long lx;
1189 : GEN q;
1190 :
1191 666289770 : if (!isonstack(x) || (GEN)av<=x) { set_avma(av); return x; }
1192 666198276 : lx = lg(x);
1193 666198276 : q = ((GEN)av) - lx;
1194 666198276 : set_avma((pari_sp)q);
1195 667296868 : while (--lx >= 0) q[lx] = x[lx];
1196 667296868 : return q;
1197 : }
1198 : INLINE GEN
1199 1312871278 : gerepileuptoint(pari_sp av, GEN x)
1200 : {
1201 1312871278 : if (!isonstack(x) || (GEN)av<=x) { set_avma(av); return x; }
1202 1159904986 : set_avma((pari_sp)icopy_avma(x, av));
1203 1161853998 : return (GEN)avma;
1204 : }
1205 : INLINE GEN
1206 831960069 : gerepileupto(pari_sp av, GEN x)
1207 : {
1208 831960069 : if (!isonstack(x) || (GEN)av<=x) { set_avma(av); return x; }
1209 740619641 : switch(typ(x))
1210 : { /* non-default = !is_recursive_t(tq) */
1211 256840119 : case t_INT: return gerepileuptoint(av, x);
1212 : case t_REAL:
1213 : case t_STR:
1214 153571375 : case t_VECSMALL: return gerepileuptoleaf(av,x);
1215 : default:
1216 : /* NB: x+i --> ((long)x) + i*sizeof(long) */
1217 330208147 : return gerepile(av, (pari_sp) (x+lg(x)), x);
1218 : }
1219 : }
1220 : INLINE double
1221 2518550 : gc_double(pari_sp av, double d) { set_avma(av); return d; }
1222 : INLINE long
1223 113098825 : gc_long(pari_sp av, long s) { set_avma(av); return s; }
1224 : INLINE ulong
1225 15324747 : gc_ulong(pari_sp av, ulong s) { set_avma(av); return s; }
1226 : INLINE int
1227 22704905 : gc_bool(pari_sp av, int s) { set_avma(av); return s; }
1228 : INLINE int
1229 3381149 : gc_int(pari_sp av, int s) { set_avma(av); return s; }
1230 : INLINE GEN
1231 1692566 : gc_NULL(pari_sp av) { set_avma(av); return NULL; }
1232 :
1233 : /* gerepileupto(av, gcopy(x)) */
1234 : INLINE GEN
1235 54327217 : gerepilecopy(pari_sp av, GEN x)
1236 : {
1237 54327217 : if (is_recursive_t(typ(x)))
1238 : {
1239 49674174 : GENbin *p = copy_bin(x);
1240 49674824 : set_avma(av); return bin_copy(p);
1241 : }
1242 : else
1243 : {
1244 4653069 : set_avma(av);
1245 4653074 : if (x < (GEN)av) {
1246 3165549 : if (x < (GEN)pari_mainstack->bot) new_chunk(lg(x));
1247 3165549 : x = leafcopy_avma(x, av);
1248 3165567 : set_avma((pari_sp)x);
1249 : } else
1250 1487525 : x = leafcopy(x);
1251 4653093 : return x;
1252 : }
1253 : }
1254 :
1255 : INLINE void
1256 28741244 : guncloneNULL(GEN x) { if (x) gunclone(x); }
1257 : INLINE void
1258 174384 : guncloneNULL_deep(GEN x) { if (x) gunclone_deep(x); }
1259 :
1260 : /* Takes an array of pointers to GENs, of length n. Copies all
1261 : * objects to contiguous locations and cleans up the stack between
1262 : * av and avma. */
1263 : INLINE void
1264 202736 : gerepilemany(pari_sp av, GEN* gptr[], int n)
1265 : {
1266 : int i;
1267 202736 : for (i=0; i<n; i++) *gptr[i] = (GEN)copy_bin(*gptr[i]);
1268 202736 : set_avma(av);
1269 202736 : for (i=0; i<n; i++) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1270 202736 : }
1271 :
1272 : INLINE void
1273 7648921 : gerepileall(pari_sp av, int n, ...)
1274 : {
1275 : int i;
1276 7648921 : va_list a; va_start(a, n);
1277 7648921 : if (n < 10)
1278 : {
1279 : GEN *gptr[10];
1280 22176238 : for (i=0; i<n; i++)
1281 14527221 : { gptr[i] = va_arg(a,GEN*); *gptr[i] = (GEN)copy_bin(*gptr[i]); }
1282 7649017 : set_avma(av);
1283 7648937 : for (--i; i>=0; i--) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1284 :
1285 : }
1286 : else
1287 : {
1288 0 : GEN **gptr = (GEN**) pari_malloc(n*sizeof(GEN*));
1289 0 : for (i=0; i<n; i++)
1290 0 : { gptr[i] = va_arg(a,GEN*); *gptr[i] = (GEN)copy_bin(*gptr[i]); }
1291 0 : set_avma(av);
1292 0 : for (--i; i>=0; i--) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1293 0 : pari_free(gptr);
1294 : }
1295 7649093 : va_end(a);
1296 7649093 : }
1297 :
1298 : INLINE void
1299 6 : gerepilecoeffs(pari_sp av, GEN x, int n)
1300 : {
1301 : int i;
1302 6 : for (i=0; i<n; i++) gel(x,i) = (GEN)copy_bin(gel(x,i));
1303 6 : set_avma(av);
1304 6 : for (i=0; i<n; i++) gel(x,i) = bin_copy((GENbin*)x[i]);
1305 6 : }
1306 :
1307 : /* p from copy_bin. Copy p->x back to stack, then destroy p */
1308 : INLINE GEN
1309 64824954 : bin_copy(GENbin *p)
1310 : {
1311 : GEN x, y, base;
1312 : long dx, len;
1313 :
1314 64824954 : x = p->x; if (!x) { pari_free(p); return gen_0; }
1315 64817730 : len = p->len;
1316 64817730 : base= p->base; dx = x - base;
1317 64817730 : y = (GEN)memcpy((void*)new_chunk(len), (void*)GENbinbase(p), len*sizeof(long));
1318 64817771 : y += dx;
1319 64817771 : p->rebase(y, ((ulong)y-(ulong)x));
1320 64817762 : pari_free(p); return y;
1321 : }
1322 :
1323 : INLINE GEN
1324 129643202 : GENbinbase(GENbin *p) { return (GEN)(p + 1); }
1325 :
1326 : INLINE void
1327 32538629 : cgiv(GEN x)
1328 : {
1329 32538629 : pari_sp av = (pari_sp)(x+lg(x));
1330 32538629 : if (isonstack((GEN)av)) set_avma(av);
1331 32538198 : }
1332 :
1333 : INLINE void
1334 1268671 : killblock(GEN x) { gunclone(x); }
1335 :
1336 : INLINE int
1337 25959449 : is_universal_constant(GEN x) { return (x >= gen_0 && x <= ghalf); }
1338 :
1339 : /*******************************************************************/
1340 : /* */
1341 : /* CONVERSION / ASSIGNMENT */
1342 : /* */
1343 : /*******************************************************************/
1344 : /* z is a type which may be a t_COMPLEX component (not a t_QUAD) */
1345 : INLINE GEN
1346 3751901 : cxcompotor(GEN z, long prec)
1347 : {
1348 3751901 : switch(typ(z))
1349 : {
1350 2117222 : case t_INT: return itor(z, prec);
1351 136682 : case t_FRAC: return fractor(z, prec);
1352 1497997 : case t_REAL: return rtor(z, prec);
1353 0 : default: pari_err_TYPE("cxcompotor",z);
1354 : return NULL; /* LCOV_EXCL_LINE */
1355 : }
1356 : }
1357 : INLINE GEN
1358 1861846 : cxtofp(GEN x, long prec)
1359 1861846 : { retmkcomplex(cxcompotor(gel(x,1),prec), cxcompotor(gel(x,2),prec)); }
1360 :
1361 : INLINE GEN
1362 291228 : cxtoreal(GEN q)
1363 291228 : { return (typ(q) == t_COMPLEX && gequal0(gel(q,2)))? gel(q,1): q; }
1364 :
1365 : INLINE double
1366 34837082 : gtodouble(GEN x)
1367 : {
1368 34837082 : if (typ(x)!=t_REAL) {
1369 7582462 : pari_sp av = avma;
1370 7582462 : x = gtofp(x, DEFAULTPREC);
1371 7582462 : if (typ(x)!=t_REAL) pari_err_TYPE("gtodouble [t_REAL expected]", x);
1372 7582462 : set_avma(av);
1373 : }
1374 34837082 : return rtodbl(x);
1375 : }
1376 : INLINE long
1377 73377312 : gtos(GEN x) {
1378 73377312 : if (typ(x) != t_INT) pari_err_TYPE("gtos [integer expected]",x);
1379 73377305 : return itos(x);
1380 : }
1381 :
1382 : INLINE ulong
1383 152026 : gtou(GEN x) {
1384 152026 : if (typ(x) != t_INT || signe(x)<0)
1385 0 : pari_err_TYPE("gtou [integer >=0 expected]",x);
1386 152039 : return itou(x);
1387 : }
1388 :
1389 : INLINE GEN
1390 23406188 : absfrac(GEN x)
1391 : {
1392 23406188 : GEN y = cgetg(3, t_FRAC);
1393 23406188 : gel(y,1) = absi(gel(x,1));
1394 23406188 : gel(y,2) = icopy(gel(x,2)); return y;
1395 : }
1396 : INLINE GEN
1397 38489 : absfrac_shallow(GEN x)
1398 38489 : { return signe(gel(x,1))>0? x: mkfrac(negi(gel(x,1)), gel(x,2)); }
1399 : INLINE GEN
1400 7847530 : Q_abs(GEN x) { return (typ(x) == t_INT)? absi(x): absfrac(x); }
1401 : INLINE GEN
1402 140523 : Q_abs_shallow(GEN x)
1403 140523 : { return (typ(x) == t_INT)? absi_shallow(x): absfrac_shallow(x); }
1404 : INLINE GEN
1405 12558 : R_abs_shallow(GEN x)
1406 12558 : { return (typ(x) == t_FRAC)? absfrac_shallow(x): mpabs_shallow(x); }
1407 : INLINE GEN
1408 0 : R_abs(GEN x)
1409 0 : { return (typ(x) == t_FRAC)? absfrac(x): mpabs(x); }
1410 :
1411 : /* Force z to be of type real/complex with floating point components */
1412 : INLINE GEN
1413 36573111 : gtofp(GEN z, long prec)
1414 : {
1415 36573111 : switch(typ(z))
1416 : {
1417 22874973 : case t_INT: return itor(z, prec);
1418 4315048 : case t_FRAC: return fractor(z, prec);
1419 7756592 : case t_REAL: return rtor(z, prec);
1420 : case t_COMPLEX: {
1421 1626498 : GEN a = gel(z,1), b = gel(z,2);
1422 1626498 : if (isintzero(b)) return cxcompotor(a, prec);
1423 1623760 : if (isintzero(a)) {
1424 3277 : GEN y = cgetg(3, t_COMPLEX);
1425 3277 : b = cxcompotor(b, prec);
1426 3277 : gel(y,1) = real_0_bit(expo(b) - prec2nbits(prec));
1427 3277 : gel(y,2) = b; return y;
1428 : }
1429 1620483 : return cxtofp(z, prec);
1430 : }
1431 0 : case t_QUAD: return quadtofp(z, prec);
1432 0 : default: pari_err_TYPE("gtofp",z);
1433 : return NULL; /* LCOV_EXCL_LINE */
1434 : }
1435 : }
1436 : /* Force z to be of type real / int */
1437 : INLINE GEN
1438 22400 : gtomp(GEN z, long prec)
1439 : {
1440 22400 : switch(typ(z))
1441 : {
1442 14 : case t_INT: return z;
1443 22386 : case t_FRAC: return fractor(z, prec);
1444 0 : case t_REAL: return rtor(z, prec);
1445 0 : case t_QUAD: z = quadtofp(z, prec);
1446 0 : if (typ(z) == t_REAL) return z;
1447 0 : default: pari_err_TYPE("gtomp",z);
1448 : return NULL; /* LCOV_EXCL_LINE */
1449 : }
1450 : }
1451 :
1452 : INLINE GEN
1453 832444 : RgX_gtofp(GEN x, long prec)
1454 : {
1455 : long l;
1456 832444 : GEN y = cgetg_copy(x, &l);
1457 832444 : while (--l > 1) gel(y,l) = gtofp(gel(x,l), prec);
1458 832444 : y[1] = x[1]; return y;
1459 : }
1460 : INLINE GEN
1461 1205557 : RgC_gtofp(GEN x, long prec)
1462 1205557 : { pari_APPLY_type(t_COL, gtofp(gel(x,i), prec)) }
1463 :
1464 : INLINE GEN
1465 42 : RgV_gtofp(GEN x, long prec)
1466 42 : { pari_APPLY_type(t_VEC, gtofp(gel(x,i), prec)) }
1467 :
1468 : INLINE GEN
1469 136540 : RgM_gtofp(GEN x, long prec)
1470 136540 : { pari_APPLY_same(RgC_gtofp(gel(x,i), prec)) }
1471 :
1472 : INLINE GEN
1473 560 : RgC_gtomp(GEN x, long prec)
1474 560 : { pari_APPLY_type(t_COL, gtomp(gel(x,i), prec)) }
1475 :
1476 : INLINE GEN
1477 14 : RgM_gtomp(GEN x, long prec)
1478 14 : { pari_APPLY_same(RgC_gtomp(gel(x,i), prec)) }
1479 :
1480 : INLINE GEN
1481 9955 : RgX_fpnorml2(GEN x, long prec)
1482 : {
1483 9955 : pari_sp av = avma;
1484 9955 : return gerepileupto(av, gnorml2(RgX_gtofp(x, prec)));
1485 : }
1486 : INLINE GEN
1487 189434 : RgC_fpnorml2(GEN x, long prec)
1488 : {
1489 189434 : pari_sp av = avma;
1490 189434 : return gerepileupto(av, gnorml2(RgC_gtofp(x, prec)));
1491 : }
1492 : INLINE GEN
1493 4105 : RgM_fpnorml2(GEN x, long prec)
1494 : {
1495 4105 : pari_sp av = avma;
1496 4105 : return gerepileupto(av, gnorml2(RgM_gtofp(x, prec)));
1497 : }
1498 :
1499 : /* y a t_REAL */
1500 : INLINE void
1501 216244 : affgr(GEN x, GEN y)
1502 : {
1503 : pari_sp av;
1504 216244 : switch(typ(x)) {
1505 5992 : case t_INT: affir(x,y); break;
1506 210252 : case t_REAL: affrr(x,y); break;
1507 0 : case t_FRAC: rdiviiz(gel(x,1),gel(x,2), y); break;
1508 0 : case t_QUAD: av = avma; affgr(quadtofp(x,realprec(y)), y); set_avma(av); break;
1509 0 : default: pari_err_TYPE2("=",x,y);
1510 : }
1511 216244 : }
1512 :
1513 : INLINE GEN
1514 261013 : affc_fixlg(GEN x, GEN res)
1515 : {
1516 261013 : if (typ(x) == t_COMPLEX)
1517 : {
1518 207529 : affrr_fixlg(gel(x,1), gel(res,1));
1519 207529 : affrr_fixlg(gel(x,2), gel(res,2));
1520 : }
1521 : else
1522 : {
1523 53484 : set_avma((pari_sp)(res+3));
1524 53484 : res = cgetr(realprec(gel(res,1)));
1525 53484 : affrr_fixlg(x, res);
1526 : }
1527 261013 : return res;
1528 : }
1529 :
1530 : INLINE GEN
1531 0 : trunc_safe(GEN x) { long e; return gcvtoi(x,&e); }
1532 :
1533 : /*******************************************************************/
1534 : /* */
1535 : /* LENGTH CONVERSIONS */
1536 : /* */
1537 : /*******************************************************************/
1538 : INLINE long
1539 32532 : ndec2nlong(long x) { return 1 + (long)((x)*(LOG2_10/BITS_IN_LONG)); }
1540 : INLINE long
1541 24046 : ndec2prec(long x) { return 2 + ndec2nlong(x); }
1542 : INLINE long
1543 8486 : ndec2nbits(long x) { return ndec2nlong(x) << TWOPOTBITS_IN_LONG; }
1544 : /* Fast implementation of ceil(x / (8*sizeof(long))); typecast to (ulong)
1545 : * to avoid overflow. Faster than 1 + ((x-1)>>TWOPOTBITS_IN_LONG)) :
1546 : * addl, shrl instead of subl, sarl, addl */
1547 : INLINE long
1548 1264474 : nbits2nlong(long x) {
1549 1264474 : return (long)(((ulong)x+BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1550 : }
1551 :
1552 : INLINE long
1553 321338292 : nbits2extraprec(long x) {
1554 321338292 : return (long)(((ulong)x+BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1555 : }
1556 :
1557 : /* Fast implementation of 2 + nbits2nlong(x) */
1558 : INLINE long
1559 112551145 : nbits2prec(long x) {
1560 112551145 : return (long)(((ulong)x+3*BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1561 : }
1562 : INLINE long
1563 20966391 : nbits2lg(long x) {
1564 20966391 : return (long)(((ulong)x+3*BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1565 : }
1566 : /* ceil(x / sizeof(long)) */
1567 : INLINE long
1568 10139107 : nchar2nlong(long x) {
1569 10139107 : return (long)(((ulong)x+sizeof(long)-1) >> (TWOPOTBITS_IN_LONG-3L));
1570 : }
1571 : INLINE long
1572 1178335709 : prec2nbits(long x) { return (x-2) * BITS_IN_LONG; }
1573 : INLINE double
1574 566530 : bit_accuracy_mul(long x, double y) { return (x-2) * (BITS_IN_LONG*y); }
1575 : INLINE double
1576 296169 : prec2nbits_mul(long x, double y) { return (x-2) * (BITS_IN_LONG*y); }
1577 : INLINE long
1578 34032445 : bit_prec(GEN x) { return prec2nbits(realprec(x)); }
1579 : INLINE long
1580 1061412417 : bit_accuracy(long x) { return prec2nbits(x); }
1581 : INLINE long
1582 12462 : prec2ndec(long x) { return (long)prec2nbits_mul(x, LOG10_2); }
1583 : INLINE long
1584 200 : nbits2ndec(long x) { return (long)(x * LOG10_2); }
1585 : INLINE long
1586 3268 : precdbl(long x) {return (x - 1) << 1;}
1587 : INLINE long
1588 3595778582 : divsBIL(long n) { return n >> TWOPOTBITS_IN_LONG; }
1589 : INLINE long
1590 3550543574 : remsBIL(long n) { return n & (BITS_IN_LONG-1); }
1591 :
1592 : /*********************************************************************/
1593 : /** **/
1594 : /** OPERATIONS MODULO m **/
1595 : /** **/
1596 : /*********************************************************************/
1597 : /* Assume m > 0, more efficient if 0 <= a, b < m */
1598 :
1599 : INLINE GEN
1600 35079602 : Fp_red(GEN a, GEN m) { return modii(a, m); }
1601 : INLINE GEN
1602 75042937 : Fp_add(GEN a, GEN b, GEN m)
1603 : {
1604 75042937 : pari_sp av=avma;
1605 75042937 : GEN p = addii(a,b);
1606 73669014 : long s = signe(p);
1607 73669014 : if (!s) return p; /* = gen_0 */
1608 65879904 : if (s > 0) /* general case */
1609 : {
1610 65653430 : GEN t = subii(p, m);
1611 66627146 : s = signe(t);
1612 66627146 : if (!s) { set_avma(av); return gen_0; }
1613 60780263 : if (s < 0) { set_avma((pari_sp)p); return p; }
1614 25882917 : if (cmpii(t, m) < 0) return gerepileuptoint(av, t); /* general case ! */
1615 1112669 : p = remii(t, m);
1616 : }
1617 : else
1618 226474 : p = modii(p, m);
1619 1339143 : return gerepileuptoint(av, p);
1620 : }
1621 : INLINE GEN
1622 57026010 : Fp_sub(GEN a, GEN b, GEN m)
1623 : {
1624 57026010 : pari_sp av=avma;
1625 57026010 : GEN p = subii(a,b);
1626 56502408 : long s = signe(p);
1627 56502408 : if (!s) return p; /* = gen_0 */
1628 50248822 : if (s > 0)
1629 : {
1630 24279552 : if (cmpii(p, m) < 0) return p; /* general case ! */
1631 1123304 : p = remii(p, m);
1632 : }
1633 : else
1634 : {
1635 25969270 : GEN t = addii(p, m);
1636 25910978 : if (!s) { set_avma(av); return gen_0; }
1637 25910978 : if (s > 0) return gerepileuptoint(av, t); /* general case ! */
1638 25910978 : p = modii(t, m);
1639 : }
1640 27586141 : return gerepileuptoint(av, p);
1641 : }
1642 : INLINE GEN
1643 13587823 : Fp_neg(GEN b, GEN m)
1644 : {
1645 13587823 : pari_sp av = avma;
1646 13587823 : long s = signe(b);
1647 : GEN p;
1648 13587823 : if (!s) return gen_0;
1649 10094009 : if (s > 0)
1650 : {
1651 9866274 : p = subii(m, b);
1652 9863071 : if (signe(p) >= 0) return p; /* general case ! */
1653 104389 : p = modii(p, m);
1654 : } else
1655 227735 : p = remii(negi(b), m);
1656 332124 : return gerepileuptoint(av, p);
1657 : }
1658 :
1659 : INLINE GEN
1660 23613 : Fp_halve(GEN a, GEN p)
1661 : {
1662 23613 : if (mpodd(a)) a = addii(a,p);
1663 23613 : return shifti(a,-1);
1664 : }
1665 :
1666 : /* assume 0 <= u < p and ps2 = p>>1 */
1667 : INLINE GEN
1668 16804338 : Fp_center(GEN u, GEN p, GEN ps2)
1669 16804338 : { return abscmpii(u,ps2)<=0? icopy(u): subii(u,p); }
1670 : /* same without copy */
1671 : INLINE GEN
1672 15746739 : Fp_center_i(GEN u, GEN p, GEN ps2)
1673 15746739 : { return abscmpii(u,ps2)<=0? u: subii(u,p); }
1674 :
1675 : /* x + y*z mod p */
1676 : INLINE GEN
1677 5126381 : Fp_addmul(GEN x, GEN y, GEN z, GEN p)
1678 : {
1679 : pari_sp av;
1680 5126381 : if (!signe(y) || !signe(z)) return Fp_red(x, p);
1681 4827783 : if (!signe(x)) return Fp_mul(z,y, p);
1682 4522693 : av = avma;
1683 4522693 : return gerepileuptoint(av, modii(addii(x, mulii(y,z)), p));
1684 : }
1685 :
1686 : INLINE GEN
1687 93458576 : Fp_mul(GEN a, GEN b, GEN m)
1688 : {
1689 93458576 : pari_sp av=avma;
1690 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1691 93458576 : (void)new_chunk(lg(a)+lg(b)+(lg(m)<<1));
1692 93457735 : p = mulii(a,b);
1693 93581072 : set_avma(av); return modii(p,m);
1694 : }
1695 : INLINE GEN
1696 33952615 : Fp_sqr(GEN a, GEN m)
1697 : {
1698 33952615 : pari_sp av=avma;
1699 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1700 33952615 : (void)new_chunk((lg(a)+lg(m))<<1);
1701 33795473 : p = sqri(a);
1702 31062943 : set_avma(av); return remii(p,m); /*Use remii: p >= 0 */
1703 : }
1704 : INLINE GEN
1705 66668038 : Fp_mulu(GEN a, ulong b, GEN m)
1706 : {
1707 66668038 : long l = lgefint(m);
1708 66668038 : if (l == 3)
1709 : {
1710 40575405 : ulong mm = m[2];
1711 40575405 : return utoi( Fl_mul(umodiu(a, mm), b, mm) );
1712 : } else {
1713 26092633 : pari_sp av = avma;
1714 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1715 26092633 : (void)new_chunk(lg(a)+1+(l<<1));
1716 26073669 : p = muliu(a,b);
1717 24544777 : set_avma(av); return modii(p,m);
1718 : }
1719 : }
1720 : INLINE GEN
1721 0 : Fp_muls(GEN a, long b, GEN m)
1722 : {
1723 0 : long l = lgefint(m);
1724 0 : if (l == 3)
1725 : {
1726 0 : ulong mm = m[2];
1727 0 : if (b < 0)
1728 : {
1729 0 : ulong t = Fl_mul(umodiu(a, mm), -b, mm);
1730 0 : return t? utoipos(mm - t): gen_0;
1731 : }
1732 : else
1733 0 : return utoi( Fl_mul(umodiu(a, mm), b, mm) );
1734 : } else {
1735 0 : pari_sp av = avma;
1736 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1737 0 : (void)new_chunk(lg(a)+1+(l<<1));
1738 0 : p = mulis(a,b);
1739 0 : set_avma(av); return modii(p,m);
1740 : }
1741 : }
1742 :
1743 : INLINE GEN
1744 9840042 : Fp_inv(GEN a, GEN m)
1745 : {
1746 : GEN res;
1747 9840042 : if (! invmod(a,m,&res)) pari_err_INV("Fp_inv", mkintmod(res,m));
1748 9839615 : return res;
1749 : }
1750 : INLINE GEN
1751 324865 : Fp_invsafe(GEN a, GEN m)
1752 : {
1753 : GEN res;
1754 324865 : if (! invmod(a,m,&res)) return NULL;
1755 324865 : return res;
1756 : }
1757 : INLINE GEN
1758 1656332 : Fp_div(GEN a, GEN b, GEN m)
1759 : {
1760 1656332 : pari_sp av = avma;
1761 : GEN p;
1762 1656332 : if (lgefint(b) == 3)
1763 : {
1764 668998 : a = Fp_divu(a, b[2], m);
1765 668998 : if (signe(b) < 0) a = Fp_neg(a, m);
1766 668998 : return a;
1767 : }
1768 : /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1769 987334 : (void)new_chunk(lg(a)+(lg(m)<<1));
1770 987334 : p = mulii(a, Fp_inv(b,m));
1771 987334 : set_avma(av); return modii(p,m);
1772 : }
1773 : INLINE GEN
1774 1402541 : Fp_divu(GEN x, ulong a, GEN p)
1775 : {
1776 1402541 : pari_sp av = avma;
1777 : ulong b;
1778 1402541 : if (lgefint(p) == 3)
1779 : {
1780 984744 : ulong pp = p[2], xp = umodiu(x, pp);
1781 984744 : return xp? utoipos(Fl_div(xp, a % pp, pp)): gen_0;
1782 : }
1783 417797 : x = Fp_red(x, p);
1784 417797 : b = Fl_neg(Fl_div(umodiu(x,a), umodiu(p,a), a), a); /* x + pb = 0 (mod a) */
1785 417798 : return gerepileuptoint(av, diviuexact(addmuliu(x, p, b), a));
1786 : }
1787 :
1788 : INLINE GEN
1789 847816 : Flx_mulu(GEN x, ulong a, ulong p) { return Flx_Fl_mul(x,a%p,p); }
1790 :
1791 : INLINE GEN
1792 0 : get_F2x_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1793 :
1794 : INLINE long
1795 449700 : get_F2x_var(GEN T) { return typ(T)==t_VEC? mael(T,2,1): T[1]; }
1796 :
1797 : INLINE long
1798 121576 : get_F2x_degree(GEN T) { return typ(T)==t_VEC? F2x_degree(gel(T,2)): F2x_degree(T); }
1799 :
1800 : INLINE GEN
1801 385 : get_F2xqX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1802 :
1803 : INLINE long
1804 376943 : get_F2xqX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1805 :
1806 : INLINE long
1807 201859 : get_F2xqX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1808 :
1809 : INLINE GEN
1810 8004598 : get_Flx_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1811 :
1812 : INLINE long
1813 17665947 : get_Flx_var(GEN T) { return typ(T)==t_VEC? mael(T,2,1): T[1]; }
1814 :
1815 : INLINE long
1816 37863981 : get_Flx_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1817 :
1818 : INLINE GEN
1819 2475 : get_FlxqX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1820 :
1821 : INLINE long
1822 221861 : get_FlxqX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1823 :
1824 : INLINE long
1825 277632 : get_FlxqX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1826 :
1827 : INLINE GEN
1828 1639756 : get_FpX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1829 :
1830 : INLINE long
1831 3947586 : get_FpX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1832 :
1833 : INLINE long
1834 2897383 : get_FpX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1835 :
1836 : INLINE GEN
1837 142586 : get_FpXQX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1838 :
1839 : INLINE long
1840 57357 : get_FpXQX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1841 :
1842 : INLINE long
1843 2187 : get_FpXQX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1844 :
1845 : /*******************************************************************/
1846 : /* */
1847 : /* ADDMULII / SUBMULII */
1848 : /* */
1849 : /*******************************************************************/
1850 : /* x - y*z */
1851 : INLINE GEN
1852 337576 : submulii(GEN x, GEN y, GEN z)
1853 : {
1854 337576 : long lx = lgefint(x), ly, lz;
1855 : pari_sp av;
1856 : GEN t;
1857 337576 : if (lx == 2) { t = mulii(z,y); togglesign(t); return t; }
1858 294404 : ly = lgefint(y);
1859 294404 : if (ly == 2) return icopy(x);
1860 247184 : lz = lgefint(z);
1861 247184 : av = avma; (void)new_chunk(lx+ly+lz); /* HACK */
1862 247184 : t = mulii(z, y);
1863 247184 : set_avma(av); return subii(x,t);
1864 : }
1865 : /* y*z - x */
1866 : INLINE GEN
1867 1291196 : mulsubii(GEN y, GEN z, GEN x)
1868 : {
1869 1291196 : long lx = lgefint(x), ly, lz;
1870 : pari_sp av;
1871 : GEN t;
1872 1291196 : if (lx == 2) return mulii(z,y);
1873 823971 : ly = lgefint(y);
1874 823971 : if (ly == 2) return negi(x);
1875 756098 : lz = lgefint(z);
1876 756098 : av = avma; (void)new_chunk(lx+ly+lz); /* HACK */
1877 756098 : t = mulii(z, y);
1878 756098 : set_avma(av); return subii(t,x);
1879 : }
1880 :
1881 : /* x - u*y */
1882 : INLINE GEN
1883 7595 : submuliu(GEN x, GEN y, ulong u)
1884 : {
1885 : pari_sp av;
1886 7595 : long ly = lgefint(y);
1887 7595 : if (ly == 2) return icopy(x);
1888 7595 : av = avma;
1889 7595 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1890 7595 : y = mului(u,y);
1891 7595 : set_avma(av); return subii(x, y);
1892 : }
1893 : /* x + u*y */
1894 : INLINE GEN
1895 425393 : addmuliu(GEN x, GEN y, ulong u)
1896 : {
1897 : pari_sp av;
1898 425393 : long ly = lgefint(y);
1899 425393 : if (ly == 2) return icopy(x);
1900 425393 : av = avma;
1901 425393 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1902 425393 : y = mului(u,y);
1903 425389 : set_avma(av); return addii(x, y);
1904 : }
1905 : /* x - u*y */
1906 : INLINE GEN
1907 125074791 : submuliu_inplace(GEN x, GEN y, ulong u)
1908 : {
1909 : pari_sp av;
1910 125074791 : long ly = lgefint(y);
1911 125074791 : if (ly == 2) return x;
1912 100110522 : av = avma;
1913 100110522 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1914 100110522 : y = mului(u,y);
1915 100110522 : set_avma(av); return subii(x, y);
1916 : }
1917 : /* x + u*y */
1918 : INLINE GEN
1919 123461621 : addmuliu_inplace(GEN x, GEN y, ulong u)
1920 : {
1921 : pari_sp av;
1922 123461621 : long ly = lgefint(y);
1923 123461621 : if (ly == 2) return x;
1924 99938735 : av = avma;
1925 99938735 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1926 99938735 : y = mului(u,y);
1927 99938735 : set_avma(av); return addii(x, y);
1928 : }
1929 : /* ux + vy */
1930 : INLINE GEN
1931 21186120 : lincombii(GEN u, GEN v, GEN x, GEN y)
1932 : {
1933 21186120 : long lx = lgefint(x), ly;
1934 : GEN p1, p2;
1935 : pari_sp av;
1936 21186120 : if (lx == 2) return mulii(v,y);
1937 14933542 : ly = lgefint(y);
1938 14933542 : if (ly == 2) return mulii(u,x);
1939 13669419 : av = avma; (void)new_chunk(lx+ly+lgefint(u)+lgefint(v)); /* HACK */
1940 13669413 : p1 = mulii(u,x);
1941 13669145 : p2 = mulii(v,y);
1942 13669140 : set_avma(av); return addii(p1,p2);
1943 : }
1944 :
1945 : /*******************************************************************/
1946 : /* */
1947 : /* GEN SUBTYPES */
1948 : /* */
1949 : /*******************************************************************/
1950 :
1951 : INLINE int
1952 1307355100 : is_const_t(long t) { return (t < t_POLMOD); }
1953 : INLINE int
1954 5479 : is_extscalar_t(long t) { return (t <= t_POL); }
1955 : INLINE int
1956 1255076 : is_intreal_t(long t) { return (t <= t_REAL); }
1957 : INLINE int
1958 417186585 : is_matvec_t(long t) { return (t >= t_VEC && t <= t_MAT); }
1959 : INLINE int
1960 60146725 : is_noncalc_t(long tx) { return (tx) >= t_LIST; }
1961 : INLINE int
1962 1254171 : is_rational_t(long t) { return (t == t_INT || t == t_FRAC); }
1963 : INLINE int
1964 521047 : is_real_t(long t) { return (t == t_INT || t == t_REAL || t == t_FRAC); }
1965 : INLINE int
1966 3145748472 : is_recursive_t(long t) { return lontyp[t]; }
1967 : INLINE int
1968 174095445 : is_scalar_t(long t) { return (t < t_POL); }
1969 : INLINE int
1970 1517530 : is_vec_t(long t) { return (t == t_VEC || t == t_COL); }
1971 :
1972 : /*******************************************************************/
1973 : /* */
1974 : /* TRANSCENDENTAL */
1975 : /* */
1976 : /*******************************************************************/
1977 : INLINE GEN
1978 22823823 : sqrtr(GEN x) {
1979 22823823 : long s = signe(x);
1980 22823823 : if (s == 0) return real_0_bit(expo(x) >> 1);
1981 22790148 : if (s >= 0) return sqrtr_abs(x);
1982 37253 : retmkcomplex(gen_0, sqrtr_abs(x));
1983 : }
1984 : INLINE GEN
1985 0 : cbrtr_abs(GEN x) { return sqrtnr_abs(x, 3); }
1986 : INLINE GEN
1987 0 : cbrtr(GEN x) {
1988 0 : long s = signe(x);
1989 : GEN r;
1990 0 : if (s == 0) return real_0_bit(expo(x) / 3);
1991 0 : r = cbrtr_abs(x);
1992 0 : if (s < 0) togglesign(r);
1993 0 : return r;
1994 : }
1995 : INLINE GEN
1996 464898 : sqrtnr(GEN x, long n) {
1997 464898 : long s = signe(x);
1998 : GEN r;
1999 464898 : if (s == 0) return real_0_bit(expo(x) / n);
2000 464898 : r = sqrtnr_abs(x, n);
2001 464898 : if (s < 0) pari_err_IMPL("sqrtnr for x < 0");
2002 464898 : return r;
2003 : }
2004 : INLINE long
2005 222266 : logint(GEN B, GEN y) { return logintall(B,y,NULL); }
2006 : INLINE ulong
2007 2000987 : ulogint(ulong B, ulong y)
2008 : {
2009 : ulong r;
2010 : long e;
2011 2000987 : if (y == 2) return expu(B);
2012 1982857 : r = y;
2013 6401759 : for (e=1;; e++)
2014 : { /* here, r = y^e, r2 = y^(e-1) */
2015 10820661 : if (r >= B) return r == B? e: e-1;
2016 4418881 : r = umuluu_or_0(y, r);
2017 4418902 : if (!r) return e;
2018 : }
2019 : }
2020 :
2021 : /*******************************************************************/
2022 : /* */
2023 : /* MISCELLANEOUS */
2024 : /* */
2025 : /*******************************************************************/
2026 1254999 : INLINE int ismpzero(GEN x) { return is_intreal_t(typ(x)) && !signe(x); }
2027 737229796 : INLINE int isintzero(GEN x) { return typ(x) == t_INT && !signe(x); }
2028 5748047 : INLINE int isint1(GEN x) { return typ(x)==t_INT && equali1(x); }
2029 4704 : INLINE int isintm1(GEN x){ return typ(x)==t_INT && equalim1(x);}
2030 707091835 : INLINE int equali1(GEN n)
2031 707091835 : { return (ulong) n[1] == (evallgefint(3UL) | evalsigne(1)) && n[2] == 1; }
2032 61450915 : INLINE int equalim1(GEN n)
2033 61450915 : { return (ulong) n[1] == (evallgefint(3UL) | evalsigne(-1)) && n[2] == 1; }
2034 : /* works only for POSITIVE integers */
2035 1062606005 : INLINE int is_pm1(GEN n)
2036 1062606005 : { return lgefint(n) == 3 && n[2] == 1; }
2037 247369699 : INLINE int is_bigint(GEN n)
2038 247369699 : { long l = lgefint(n); return l > 3 || (l == 3 && (n[2] & HIGHBIT)); }
2039 :
2040 2077028500 : INLINE int odd(long x) { return x & 1; }
2041 29656824 : INLINE int both_odd(long x, long y) { return x & y & 1; }
2042 :
2043 : INLINE int
2044 2843313623 : isonstack(GEN x)
2045 2843313623 : { return ((pari_sp)x >= pari_mainstack->bot
2046 2843313623 : && (pari_sp)x < pari_mainstack->top); }
2047 :
2048 : /* assume x != 0 and x t_REAL, return an approximation to log2(|x|) */
2049 : INLINE double
2050 23857616 : dbllog2r(GEN x)
2051 23857616 : { return log2((double)(ulong)x[2]) + (double)(expo(x) - (BITS_IN_LONG-1)); }
2052 :
2053 : INLINE GEN
2054 393840 : mul_content(GEN cx, GEN cy)
2055 : {
2056 393840 : if (!cx) return cy;
2057 146263 : if (!cy) return cx;
2058 102250 : return gmul(cx,cy);
2059 : }
2060 : INLINE GEN
2061 6748 : inv_content(GEN c) { return c? ginv(c): NULL; }
2062 : INLINE GEN
2063 1818470 : mul_denom(GEN dx, GEN dy)
2064 : {
2065 1818470 : if (!dx) return dy;
2066 1212444 : if (!dy) return dx;
2067 379435 : return mulii(dx,dy);
2068 : }
2069 :
2070 : /* POLYNOMIALS */
2071 : INLINE GEN
2072 17948952 : constant_coeff(GEN x) { return signe(x)? gel(x,2): gen_0; }
2073 : INLINE GEN
2074 95521997 : leading_coeff(GEN x) { return lg(x) == 2? gen_0: gel(x,lg(x)-1); }
2075 : INLINE ulong
2076 481526 : Flx_lead(GEN x) { return lg(x) == 2? 0: x[lg(x)-1]; }
2077 : INLINE ulong
2078 12276 : Flx_constant(GEN x) { return lg(x) == 2? 0: x[2]; }
2079 : INLINE long
2080 2927573298 : degpol(GEN x) { return lg(x)-3; }
2081 : INLINE long
2082 1438445370 : lgpol(GEN x) { return lg(x)-2; }
2083 : INLINE long
2084 126924184 : lgcols(GEN x) { return lg(gel(x,1)); }
2085 : INLINE long
2086 36179858 : nbrows(GEN x) { return lg(gel(x,1))-1; }
2087 : INLINE GEN
2088 0 : truecoef(GEN x, long n) { return polcoef(x,n,-1); }
2089 :
2090 : INLINE GEN
2091 574033 : ZXQ_mul(GEN y, GEN x, GEN T) { return ZX_rem(ZX_mul(y, x), T); }
2092 : INLINE GEN
2093 286113 : ZXQ_sqr(GEN x, GEN T) { return ZX_rem(ZX_sqr(x), T); }
2094 :
2095 : INLINE GEN
2096 81545601 : RgX_copy(GEN x)
2097 : {
2098 : long lx, i;
2099 81545601 : GEN y = cgetg_copy(x, &lx); y[1] = x[1];
2100 81545596 : for (i = 2; i<lx; i++) gel(y,i) = gcopy(gel(x,i));
2101 81545597 : return y;
2102 : }
2103 : /* have to use ulong to avoid silly warnings from gcc "assuming signed
2104 : * overflow does not occur" */
2105 : INLINE GEN
2106 2987573 : RgX_coeff(GEN x, long n)
2107 : {
2108 2987573 : ulong l = lg(x);
2109 2987573 : return (n < 0 || ((ulong)n+3) > l)? gen_0: gel(x,n+2);
2110 : }
2111 : INLINE GEN
2112 368623 : RgX_renormalize(GEN x) { return RgX_renormalize_lg(x, lg(x)); }
2113 : INLINE GEN
2114 6808601 : RgX_div(GEN x, GEN y) { return RgX_divrem(x,y,NULL); }
2115 : INLINE GEN
2116 1792 : RgXQX_div(GEN x, GEN y, GEN T) { return RgXQX_divrem(x,y,T,NULL); }
2117 : INLINE GEN
2118 69635 : RgXQX_rem(GEN x, GEN y, GEN T) { return RgXQX_divrem(x,y,T,ONLY_REM); }
2119 : INLINE GEN
2120 1031336 : FpX_div(GEN x, GEN y, GEN p) { return FpX_divrem(x,y,p, NULL); }
2121 : INLINE GEN
2122 4916295 : Flx_div(GEN x, GEN y, ulong p) { return Flx_divrem(x,y,p, NULL); }
2123 : INLINE GEN
2124 2592926 : F2x_div(GEN x, GEN y) { return F2x_divrem(x,y, NULL); }
2125 : INLINE GEN
2126 0 : FpV_FpC_mul(GEN x, GEN y, GEN p) { return FpV_dotproduct(x,y,p); }
2127 : INLINE GEN
2128 56207816 : pol0_Flx(long sv) { return mkvecsmall(sv); }
2129 : INLINE GEN
2130 15525349 : pol1_Flx(long sv) { return mkvecsmall2(sv, 1); }
2131 : INLINE GEN
2132 18083660 : polx_Flx(long sv) { return mkvecsmall3(sv, 0, 1); }
2133 : INLINE GEN
2134 0 : zero_zx(long sv) { return zero_Flx(sv); }
2135 : INLINE GEN
2136 0 : polx_zx(long sv) { return polx_Flx(sv); }
2137 : INLINE GEN
2138 0 : zx_shift(GEN x, long n) { return Flx_shift(x,n); }
2139 : INLINE GEN
2140 0 : zx_renormalize(GEN x, long l) { return Flx_renormalize(x,l); }
2141 : INLINE GEN
2142 1341 : zero_F2x(long sv) { return zero_Flx(sv); }
2143 : INLINE GEN
2144 11190767 : pol0_F2x(long sv) { return pol0_Flx(sv); }
2145 : INLINE GEN
2146 2887938 : pol1_F2x(long sv) { return pol1_Flx(sv); }
2147 : INLINE GEN
2148 691372 : polx_F2x(long sv) { return mkvecsmall2(sv, 2); }
2149 : INLINE int
2150 843936 : F2x_equal1(GEN x) { return Flx_equal1(x); }
2151 : INLINE int
2152 3124378 : F2x_equal(GEN V, GEN W) { return Flx_equal(V,W); }
2153 : INLINE GEN
2154 59660058 : F2x_copy(GEN x) { return leafcopy(x); }
2155 : INLINE GEN
2156 0 : F2v_copy(GEN x) { return leafcopy(x); }
2157 : INLINE GEN
2158 2276211 : Flv_copy(GEN x) { return leafcopy(x); }
2159 : INLINE GEN
2160 87177001 : Flx_copy(GEN x) { return leafcopy(x); }
2161 : INLINE GEN
2162 1913272 : vecsmall_copy(GEN x) { return leafcopy(x); }
2163 : INLINE int
2164 4923764 : Flx_equal1(GEN x) { return degpol(x)==0 && x[2] == 1; }
2165 : INLINE int
2166 18261 : ZX_equal1(GEN x) { return degpol(x)==0 && equali1(gel(x,2)); }
2167 : INLINE int
2168 5543605 : ZX_is_monic(GEN x) { return equali1(leading_coeff(x)); }
2169 :
2170 : INLINE GEN
2171 52530825 : ZX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2172 : INLINE GEN
2173 73917269 : FpX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2174 : INLINE GEN
2175 772518 : FpXX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2176 : INLINE GEN
2177 1251678 : FpXQX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2178 : INLINE GEN
2179 112044199 : F2x_renormalize(GEN x, long lx) { return Flx_renormalize(x,lx); }
2180 : INLINE GEN
2181 32283 : F2v_to_F2x(GEN x, long sv) {
2182 32283 : GEN y = leafcopy(x);
2183 32284 : y[1] = sv; F2x_renormalize(y, lg(y)); return y;
2184 : }
2185 :
2186 : INLINE long
2187 0 : sturm(GEN x) { return sturmpart(x, NULL, NULL); }
2188 :
2189 : INLINE long
2190 7168 : gval(GEN x, long v) {
2191 7168 : pari_sp av = avma;
2192 7168 : long n = gvaluation(x, pol_x(v));
2193 7168 : set_avma(av); return n;
2194 : }
2195 :
2196 : INLINE void
2197 471230 : RgX_shift_inplace_init(long v)
2198 471230 : { if (v) (void)cgetg(v, t_VECSMALL); }
2199 : /* shift polynomial in place. assume v free cells have been left before x */
2200 : INLINE GEN
2201 471230 : RgX_shift_inplace(GEN x, long v)
2202 : {
2203 : long i, lx;
2204 : GEN y, z;
2205 471230 : if (!v) return x;
2206 253227 : lx = lg(x);
2207 253227 : if (lx == 2) return x;
2208 253227 : y = x + v;
2209 253227 : z = x + lx;
2210 : /* stackdummy from normalizepol: move it up */
2211 253227 : if (lg(z) != v) x[lx + v] = z[0];
2212 253227 : for (i = lx-1; i >= 2; i--) gel(y,i) = gel(x,i);
2213 253227 : for (i = v+1; i >= 2; i--) gel(x,i) = gen_0;
2214 : /* leave x[1] alone: it is correct */
2215 253227 : x[0] = evaltyp(t_POL) | evallg(lx+v); return x;
2216 : }
2217 :
2218 :
2219 : /* LINEAR ALGEBRA */
2220 : INLINE GEN
2221 132659 : zv_to_ZV(GEN x) { return vecsmall_to_vec(x); }
2222 : INLINE GEN
2223 5229954 : zc_to_ZC(GEN x) { return vecsmall_to_col(x); }
2224 : INLINE GEN
2225 3300393 : ZV_to_zv(GEN x) { return vec_to_vecsmall(x); }
2226 : INLINE GEN
2227 0 : zx_to_zv(GEN x, long N) { return Flx_to_Flv(x,N); }
2228 : INLINE GEN
2229 0 : zv_to_zx(GEN x, long sv) { return Flv_to_Flx(x,sv); }
2230 : INLINE GEN
2231 0 : zm_to_zxV(GEN x, long sv) { return Flm_to_FlxV(x,sv); }
2232 : INLINE GEN
2233 0 : zero_zm(long x, long y) { return zero_Flm(x,y); }
2234 : INLINE GEN
2235 17661572 : zero_zv(long x) { return zero_Flv(x); }
2236 : INLINE GEN
2237 210 : zm_transpose(GEN x) { return Flm_transpose(x); }
2238 : INLINE GEN
2239 0 : zm_copy(GEN x) { return Flm_copy(x); }
2240 : INLINE GEN
2241 1903383 : zv_copy(GEN x) { return Flv_copy(x); }
2242 : INLINE GEN
2243 0 : zm_row(GEN x, long i) { return Flm_row(x,i); }
2244 :
2245 : INLINE GEN
2246 948749 : ZC_hnfrem(GEN x, GEN y) { return ZC_hnfremdiv(x,y,NULL); }
2247 : INLINE GEN
2248 50392 : ZM_hnfrem(GEN x, GEN y) { return ZM_hnfdivrem(x,y,NULL); }
2249 : INLINE GEN
2250 2470518 : ZM_lll(GEN x, double D, long f) { return ZM_lll_norms(x,D,f,NULL); }
2251 : INLINE void
2252 5677187 : RgM_dimensions(GEN x, long *m, long *n) { *n = lg(x)-1; *m = *n? nbrows(x): 0; }
2253 : INLINE GEN
2254 10610266 : RgM_shallowcopy(GEN x)
2255 : {
2256 : long l;
2257 10610266 : GEN y = cgetg_copy(x, &l);
2258 10610262 : while (--l > 0) gel(y,l) = leafcopy(gel(x,l));
2259 10610276 : return y;
2260 : }
2261 : INLINE GEN
2262 18953 : F2m_copy(GEN x) { return RgM_shallowcopy(x); }
2263 :
2264 : INLINE GEN
2265 1490006 : Flm_copy(GEN x) { return RgM_shallowcopy(x); }
2266 :
2267 : /* divisibility: return 1 if y[i] | x[i] for all i, 0 otherwise. Assume
2268 : * x,y are ZV of the same length */
2269 : INLINE int
2270 23198 : ZV_dvd(GEN x, GEN y)
2271 : {
2272 23198 : long i, l = lg(x);
2273 36652 : for (i=1; i < l; i++)
2274 29519 : if ( ! dvdii( gel(x,i), gel(y,i) ) ) return 0;
2275 7133 : return 1;
2276 : }
2277 :
2278 : /* Fq */
2279 : INLINE GEN
2280 2502805 : Fq_red(GEN x, GEN T, GEN p)
2281 2502805 : { return typ(x)==t_INT? Fp_red(x,p): FpXQ_red(x,T,p); }
2282 : INLINE GEN
2283 99427 : Fq_to_FpXQ(GEN x, GEN T, GEN p /*unused*/)
2284 : {
2285 : (void) p;
2286 99427 : return typ(x)==t_INT ? scalarpol(x, get_FpX_var(T)): x;
2287 : }
2288 : INLINE GEN
2289 756 : Rg_to_Fq(GEN x, GEN T, GEN p) { return T? Rg_to_FpXQ(x,T,p): Rg_to_Fp(x,p); }
2290 :
2291 : INLINE GEN
2292 2289 : gener_Fq_local(GEN T, GEN p, GEN L)
2293 : { return T? gener_FpXQ_local(T,p, L)
2294 2289 : : pgener_Fp_local(p, L); }
2295 :
2296 : /* FpXQX */
2297 : INLINE GEN
2298 4347 : FpXQX_div(GEN x, GEN y, GEN T, GEN p) { return FpXQX_divrem(x, y, T, p, NULL); }
2299 : INLINE GEN
2300 35090 : FlxqX_div(GEN x, GEN y, GEN T, ulong p) { return FlxqX_divrem(x, y, T, p, NULL); }
2301 : INLINE GEN
2302 33299 : F2xqX_div(GEN x, GEN y, GEN T) { return F2xqX_divrem(x, y, T, NULL); }
2303 :
2304 : /* FqX */
2305 : INLINE GEN
2306 25431 : FqX_red(GEN z, GEN T, GEN p) { return T? FpXQX_red(z, T, p): FpX_red(z, p); }
2307 : INLINE GEN
2308 957187 : FqX_add(GEN x,GEN y,GEN T,GEN p) { return T? FpXX_add(x,y,p): FpX_add(x,y,p); }
2309 : INLINE GEN
2310 17404 : FqX_neg(GEN x,GEN T,GEN p) { return T? FpXX_neg(x,p): FpX_neg(x,p); }
2311 : INLINE GEN
2312 3234 : FqX_sub(GEN x,GEN y,GEN T,GEN p) { return T? FpXX_sub(x,y,p): FpX_sub(x,y,p); }
2313 : INLINE GEN
2314 661806 : FqX_Fp_mul(GEN P, GEN u, GEN T, GEN p)
2315 661806 : { return T? FpXX_Fp_mul(P, u, p): FpX_Fp_mul(P, u, p); }
2316 : INLINE GEN
2317 588211 : FqX_Fq_mul(GEN P, GEN U, GEN T, GEN p)
2318 588211 : { return typ(U)==t_INT ? FqX_Fp_mul(P, U, T, p): FpXQX_FpXQ_mul(P, U, T, p); }
2319 : INLINE GEN
2320 98666 : FqX_mul(GEN x, GEN y, GEN T, GEN p)
2321 98666 : { return T? FpXQX_mul(x, y, T, p): FpX_mul(x, y, p); }
2322 : INLINE GEN
2323 489744 : FqX_mulu(GEN x, ulong y, GEN T, GEN p)
2324 489744 : { return T? FpXX_mulu(x, y, p): FpX_mulu(x, y, p); }
2325 : INLINE GEN
2326 6468 : FqX_sqr(GEN x, GEN T, GEN p)
2327 6468 : { return T? FpXQX_sqr(x, T, p): FpX_sqr(x, p); }
2328 : INLINE GEN
2329 1288 : FqX_powu(GEN x, ulong n, GEN T, GEN p)
2330 1288 : { return T? FpXQX_powu(x, n, T, p): FpX_powu(x, n, p); }
2331 : INLINE GEN
2332 0 : FqX_halve(GEN x, GEN T, GEN p)
2333 0 : { return T? FpXX_halve(x, p): FpX_halve(x, p); }
2334 : INLINE GEN
2335 5964 : FqX_div(GEN x, GEN y, GEN T, GEN p)
2336 5964 : { return T? FpXQX_divrem(x,y,T,p,NULL): FpX_divrem(x,y,p,NULL); }
2337 : INLINE GEN
2338 6095 : FqX_get_red(GEN S, GEN T, GEN p)
2339 6095 : { return T? FpXQX_get_red(S,T,p): FpX_get_red(S,p); }
2340 : INLINE GEN
2341 53108 : FqX_rem(GEN x, GEN y, GEN T, GEN p)
2342 53108 : { return T? FpXQX_rem(x,y,T,p): FpX_rem(x,y,p); }
2343 : INLINE GEN
2344 0 : FqX_divrem(GEN x, GEN y, GEN T, GEN p, GEN *z)
2345 0 : { return T? FpXQX_divrem(x,y,T,p,z): FpX_divrem(x,y,p,z); }
2346 : INLINE GEN
2347 5936 : FqX_div_by_X_x(GEN x, GEN y, GEN T, GEN p, GEN *z)
2348 5936 : { return T? FpXQX_div_by_X_x(x,y,T,p,z): FpX_div_by_X_x(x,y,p,z); }
2349 : INLINE GEN
2350 0 : FqX_halfgcd(GEN P,GEN Q,GEN T,GEN p)
2351 0 : {return T? FpXQX_halfgcd(P,Q,T,p): FpX_halfgcd(P,Q,p);}
2352 : INLINE GEN
2353 259616 : FqX_gcd(GEN P,GEN Q,GEN T,GEN p)
2354 259616 : {return T? FpXQX_gcd(P,Q,T,p): FpX_gcd(P,Q,p);}
2355 : INLINE GEN
2356 90655 : FqX_extgcd(GEN P,GEN Q,GEN T,GEN p, GEN *U, GEN *V)
2357 90655 : { return T? FpXQX_extgcd(P,Q,T,p,U,V): FpX_extgcd(P,Q,p,U,V); }
2358 : INLINE GEN
2359 3437 : FqX_normalize(GEN z, GEN T, GEN p)
2360 3437 : { return T? FpXQX_normalize(z, T, p): FpX_normalize(z, p); }
2361 : INLINE GEN
2362 272895 : FqX_deriv(GEN f, GEN T, GEN p) { return T? FpXX_deriv(f, p): FpX_deriv(f, p); }
2363 : INLINE GEN
2364 0 : FqX_integ(GEN f, GEN T, GEN p) { return T? FpXX_integ(f, p): FpX_integ(f, p); }
2365 : INLINE GEN
2366 74781 : FqX_factor(GEN f, GEN T, GEN p)
2367 74781 : { return T?FpXQX_factor(f, T, p): FpX_factor(f, p); }
2368 : INLINE GEN
2369 7 : FqX_factor_squarefree(GEN f, GEN T, GEN p)
2370 7 : { return T ? FpXQX_factor_squarefree(f, T, p): FpX_factor_squarefree(f, p); }
2371 : INLINE GEN
2372 7 : FqX_ddf(GEN f, GEN T, GEN p)
2373 7 : { return T ? FpXQX_ddf(f, T, p): FpX_ddf(f, p); }
2374 : INLINE GEN
2375 42 : FqX_degfact(GEN f, GEN T, GEN p)
2376 42 : { return T?FpXQX_degfact(f, T, p): FpX_degfact(f, p); }
2377 : INLINE GEN
2378 7126 : FqX_roots(GEN f, GEN T, GEN p)
2379 7126 : { return T?FpXQX_roots(f, T, p): FpX_roots(f, p); }
2380 : INLINE GEN
2381 203 : FqX_to_mod(GEN f, GEN T, GEN p)
2382 203 : { return T?FpXQX_to_mod(f, T, p): FpX_to_mod(f, p); }
2383 :
2384 : /*FqXQ*/
2385 : INLINE GEN
2386 0 : FqXQ_add(GEN x, GEN y, GEN S/*unused*/, GEN T, GEN p)
2387 0 : { (void)S; return T? FpXX_add(x,y,p): FpX_add(x,y,p); }
2388 : INLINE GEN
2389 0 : FqXQ_sub(GEN x, GEN y, GEN S/*unused*/, GEN T, GEN p)
2390 0 : { (void)S; return T? FpXX_sub(x,y,p): FpX_sub(x,y,p); }
2391 : INLINE GEN
2392 0 : FqXQ_div(GEN x, GEN y, GEN S, GEN T, GEN p)
2393 0 : { return T? FpXQXQ_div(x,y,S,T,p): FpXQ_div(x,y,S,p); }
2394 : INLINE GEN
2395 0 : FqXQ_inv(GEN x, GEN S, GEN T, GEN p)
2396 0 : { return T? FpXQXQ_inv(x,S,T,p): FpXQ_inv(x,S,p); }
2397 : INLINE GEN
2398 0 : FqXQ_invsafe(GEN x, GEN S, GEN T, GEN p)
2399 0 : { return T? FpXQXQ_invsafe(x,S,T,p): FpXQ_inv(x,S,p); }
2400 : INLINE GEN
2401 22348 : FqXQ_mul(GEN x, GEN y, GEN S, GEN T, GEN p)
2402 22348 : { return T? FpXQXQ_mul(x,y,S,T,p): FpXQ_mul(x,y,S,p); }
2403 : INLINE GEN
2404 0 : FqXQ_sqr(GEN x, GEN S, GEN T, GEN p)
2405 0 : { return T? FpXQXQ_sqr(x,S,T,p): FpXQ_sqr(x,S,p); }
2406 : INLINE GEN
2407 0 : FqXQ_pow(GEN x, GEN n, GEN S, GEN T, GEN p)
2408 0 : { return T? FpXQXQ_pow(x,n,S,T,p): FpXQ_pow(x,n,S,p); }
2409 :
2410 : /*FqXn*/
2411 : INLINE GEN
2412 0 : FqXn_exp(GEN x, long n, GEN T, GEN p)
2413 0 : { return T? FpXQXn_exp(x,n,T,p): FpXn_exp(x,n,p); }
2414 : INLINE GEN
2415 0 : FqXn_inv(GEN x, long n, GEN T, GEN p)
2416 0 : { return T? FpXQXn_inv(x,n,T,p): FpXn_inv(x,n,p); }
2417 : INLINE GEN
2418 0 : FqXn_mul(GEN x, GEN y, long n, GEN T, GEN p)
2419 0 : { return T? FpXQXn_mul(x, y, n, T, p): FpXn_mul(x, y, n, p); }
2420 : INLINE GEN
2421 0 : FqXn_sqr(GEN x, long n, GEN T, GEN p)
2422 0 : { return T? FpXQXn_sqr(x,n,T,p): FpXn_sqr(x,n,p); }
2423 :
2424 : /*FpXQ*/
2425 : INLINE GEN
2426 0 : FpXQ_add(GEN x,GEN y,GEN T/*unused*/,GEN p)
2427 0 : { (void)T; return FpX_add(x,y,p); }
2428 : INLINE GEN
2429 0 : FpXQ_sub(GEN x,GEN y,GEN T/*unused*/,GEN p)
2430 0 : { (void)T; return FpX_sub(x,y,p); }
2431 :
2432 : /*Flxq*/
2433 : INLINE GEN
2434 0 : Flxq_add(GEN x,GEN y,GEN T/*unused*/,ulong p)
2435 0 : { (void)T; return Flx_add(x,y,p); }
2436 : INLINE GEN
2437 0 : Flxq_sub(GEN x,GEN y,GEN T/*unused*/,ulong p)
2438 0 : { (void)T; return Flx_sub(x,y,p); }
2439 :
2440 : /* F2x */
2441 :
2442 : INLINE ulong
2443 102792214 : F2x_coeff(GEN x,long v)
2444 : {
2445 102792214 : ulong u=(ulong)x[2+divsBIL(v)];
2446 102791214 : return (u>>remsBIL(v))&1UL;
2447 : }
2448 :
2449 : INLINE void
2450 5066683 : F2x_clear(GEN x,long v)
2451 : {
2452 5066683 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2453 5066683 : *u&=~(1UL<<remsBIL(v));
2454 5066682 : }
2455 :
2456 : INLINE void
2457 33148402 : F2x_set(GEN x,long v)
2458 : {
2459 33148402 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2460 33126025 : *u|=1UL<<remsBIL(v);
2461 33115277 : }
2462 :
2463 : INLINE void
2464 1502090 : F2x_flip(GEN x,long v)
2465 : {
2466 1502090 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2467 1502090 : *u^=1UL<<remsBIL(v);
2468 1502090 : }
2469 :
2470 : /* F2v */
2471 :
2472 : INLINE ulong
2473 98155798 : F2v_coeff(GEN x,long v) { return F2x_coeff(x,v-1); }
2474 :
2475 : INLINE void
2476 5066683 : F2v_clear(GEN x,long v) { F2x_clear(x,v-1); }
2477 :
2478 : INLINE void
2479 9279060 : F2v_set(GEN x,long v) { F2x_set(x,v-1); }
2480 :
2481 : INLINE void
2482 1502090 : F2v_flip(GEN x,long v) { F2x_flip(x,v-1); }
2483 :
2484 : /* F2m */
2485 :
2486 : INLINE ulong
2487 12241823 : F2m_coeff(GEN x, long a, long b) { return F2v_coeff(gel(x,b), a); }
2488 :
2489 : INLINE void
2490 0 : F2m_clear(GEN x, long a, long b) { F2v_clear(gel(x,b), a); }
2491 :
2492 : INLINE void
2493 1362615 : F2m_set(GEN x, long a, long b) { F2v_set(gel(x,b), a); }
2494 :
2495 : INLINE void
2496 1502090 : F2m_flip(GEN x, long a, long b) { F2v_flip(gel(x,b), a); }
2497 :
2498 : /* ARITHMETIC */
2499 : INLINE GEN
2500 1071 : matpascal(long n) { return matqpascal(n, NULL); }
2501 : INLINE long
2502 2334602 : Z_issquare(GEN x) { return Z_issquareall(x, NULL); }
2503 : INLINE long
2504 14 : Z_ispower(GEN x, ulong k) { return Z_ispowerall(x, k, NULL); }
2505 : INLINE GEN
2506 5927961 : sqrti(GEN x) { return sqrtremi(x,NULL); }
2507 : INLINE GEN
2508 6088685 : gaddgs(GEN y, long s) { return gaddsg(s,y); }
2509 : INLINE int
2510 72127 : gcmpgs(GEN y, long s) { return -gcmpsg(s,y); }
2511 : INLINE int
2512 24458 : gequalgs(GEN y, long s) { return gequalsg(s,y); }
2513 : INLINE GEN
2514 0 : gmaxsg(long s, GEN y) { return gmaxgs(y,s); }
2515 : INLINE GEN
2516 0 : gminsg(long s, GEN y) { return gmings(y,s); }
2517 : INLINE GEN
2518 15116263 : gmulgs(GEN y, long s) { return gmulsg(s,y); }
2519 : INLINE GEN
2520 1347791 : gsubgs(GEN y, long s) { return gaddgs(y, -s); }
2521 : INLINE GEN
2522 691257 : gdivsg(long s, GEN y) { return gdiv(stoi(s), y); }
2523 :
2524 : /* x t_COMPLEX */
2525 : INLINE GEN
2526 14061588 : cxnorm(GEN x) { return gadd(gsqr(gel(x,1)), gsqr(gel(x,2))); }
2527 : /* q t_QUAD */
2528 : INLINE GEN
2529 623 : quadnorm(GEN q)
2530 : {
2531 623 : GEN X = gel(q,1), b = gel(X,3), c = gel(X,2);
2532 623 : GEN z, u = gel(q,3), v = gel(q,2);
2533 623 : if (typ(u) == t_INT && typ(v) == t_INT) /* generic case */
2534 : {
2535 308 : z = signe(b)? mulii(v, addii(u,v)): sqri(v);
2536 308 : return addii(z, mulii(c, sqri(u)));
2537 : }
2538 : else
2539 : {
2540 315 : z = signe(b)? gmul(v, gadd(u,v)): gsqr(v);
2541 315 : return gadd(z, gmul(c, gsqr(u)));
2542 : }
2543 : }
2544 : /* x a t_QUAD, return the attached discriminant */
2545 : INLINE GEN
2546 273 : quad_disc(GEN x)
2547 : {
2548 273 : GEN Q = gel(x,1), b = gel(Q,3), c = gel(Q,2), c4;
2549 273 : if (is_pm1(b))
2550 : {
2551 217 : pari_sp av = avma; (void)new_chunk(lgefint(c) + 1);
2552 217 : c4 = shifti(c,2); set_avma(av); return subsi(1, c4);
2553 : }
2554 56 : c4 = shifti(c,2); togglesign_safe(&c4); return c4;
2555 : }
2556 : INLINE GEN
2557 6386709 : qfb_disc3(GEN x, GEN y, GEN z) { return subii(sqri(y), shifti(mulii(x,z),2)); }
2558 : INLINE GEN
2559 6305775 : qfb_disc(GEN x) { return qfb_disc3(gel(x,1), gel(x,2), gel(x,3)); }
2560 :
2561 : INLINE GEN
2562 1287836 : sqrfrac(GEN x)
2563 : {
2564 1287836 : GEN z = cgetg(3,t_FRAC);
2565 1287836 : gel(z,1) = sqri(gel(x,1));
2566 1287836 : gel(z,2) = sqri(gel(x,2)); return z;
2567 : }
2568 :
2569 : INLINE void
2570 34597027 : normalize_frac(GEN z) {
2571 34597027 : if (signe(gel(z,2)) < 0) { togglesign(gel(z,1)); setabssign(gel(z,2)); }
2572 34597027 : }
2573 :
2574 : INLINE GEN
2575 270579 : powii(GEN x, GEN n)
2576 : {
2577 270579 : long ln = lgefint(n);
2578 270579 : if (ln == 3) {
2579 : GEN z;
2580 266141 : if (signe(n) > 0) return powiu(x, n[2]);
2581 8344 : z = cgetg(3, t_FRAC);
2582 8344 : gel(z,1) = gen_1;
2583 8344 : gel(z,2) = powiu(x, n[2]);
2584 8344 : return z;
2585 : }
2586 4438 : if (ln == 2) return gen_1; /* rare */
2587 : /* should never happen */
2588 0 : return powgi(x, n); /* overflow unless x = 0, 1, -1 */
2589 : }
2590 : INLINE GEN
2591 1267 : powIs(long n) {
2592 1267 : switch(n & 3)
2593 : {
2594 49 : case 1: return mkcomplex(gen_0,gen_1);
2595 378 : case 2: return gen_m1;
2596 518 : case 3: return mkcomplex(gen_0,gen_m1);
2597 : }
2598 322 : return gen_1;
2599 : }
2600 :
2601 : /*******************************************************************/
2602 : /* */
2603 : /* ASSIGNMENTS */
2604 : /* */
2605 : /*******************************************************************/
2606 0 : INLINE void mpexpz(GEN x, GEN z)
2607 0 : { pari_sp av = avma; gaffect(mpexp(x), z); set_avma(av); }
2608 0 : INLINE void mplogz(GEN x, GEN z)
2609 0 : { pari_sp av = avma; gaffect(mplog(x), z); set_avma(av); }
2610 0 : INLINE void mpcosz(GEN x, GEN z)
2611 0 : { pari_sp av = avma; gaffect(mpcos(x), z); set_avma(av); }
2612 0 : INLINE void mpsinz(GEN x, GEN z)
2613 0 : { pari_sp av = avma; gaffect(mpsin(x), z); set_avma(av); }
2614 0 : INLINE void gnegz(GEN x, GEN z)
2615 0 : { pari_sp av = avma; gaffect(gneg(x), z); set_avma(av); }
2616 0 : INLINE void gabsz(GEN x, long prec, GEN z)
2617 0 : { pari_sp av = avma; gaffect(gabs(x,prec), z); set_avma(av); }
2618 0 : INLINE void gaddz(GEN x, GEN y, GEN z)
2619 0 : { pari_sp av = avma; gaffect(gadd(x,y), z); set_avma(av); }
2620 0 : INLINE void gsubz(GEN x, GEN y, GEN z)
2621 0 : { pari_sp av = avma; gaffect(gsub(x,y), z); set_avma(av); }
2622 0 : INLINE void gmulz(GEN x, GEN y, GEN z)
2623 0 : { pari_sp av = avma; gaffect(gmul(x,y), z); set_avma(av); }
2624 0 : INLINE void gdivz(GEN x, GEN y, GEN z)
2625 0 : { pari_sp av = avma; gaffect(gdiv(x,y), z); set_avma(av); }
2626 0 : INLINE void gdiventz(GEN x, GEN y, GEN z)
2627 0 : { pari_sp av = avma; gaffect(gdivent(x,y), z); set_avma(av); }
2628 0 : INLINE void gmodz(GEN x, GEN y, GEN z)
2629 0 : { pari_sp av = avma; gaffect(gmod(x,y), z); set_avma(av); }
2630 0 : INLINE void gmul2nz(GEN x, long s, GEN z)
2631 0 : { pari_sp av = avma; gaffect(gmul2n(x,s), z); set_avma(av); }
2632 0 : INLINE void gshiftz(GEN x, long s, GEN z)
2633 0 : { pari_sp av = avma; gaffect(gshift(x,s), z); set_avma(av); }
2634 :
2635 : /*******************************************************************/
2636 : /* */
2637 : /* ELLIPTIC CURVES */
2638 : /* */
2639 : /*******************************************************************/
2640 3980927 : INLINE GEN ell_get_a1(GEN e) { return gel(e,1); }
2641 3096017 : INLINE GEN ell_get_a2(GEN e) { return gel(e,2); }
2642 3862768 : INLINE GEN ell_get_a3(GEN e) { return gel(e,3); }
2643 3888901 : INLINE GEN ell_get_a4(GEN e) { return gel(e,4); }
2644 4705038 : INLINE GEN ell_get_a6(GEN e) { return gel(e,5); }
2645 3319183 : INLINE GEN ell_get_b2(GEN e) { return gel(e,6); }
2646 1025012 : INLINE GEN ell_get_b4(GEN e) { return gel(e,7); }
2647 1630680 : INLINE GEN ell_get_b6(GEN e) { return gel(e,8); }
2648 1464043 : INLINE GEN ell_get_b8(GEN e) { return gel(e,9); }
2649 6170276 : INLINE GEN ell_get_c4(GEN e) { return gel(e,10); }
2650 7406129 : INLINE GEN ell_get_c6(GEN e) { return gel(e,11); }
2651 9656665 : INLINE GEN ell_get_disc(GEN e) { return gel(e,12); }
2652 1028916 : INLINE GEN ell_get_j(GEN e) { return gel(e,13); }
2653 11457294 : INLINE long ell_get_type(GEN e) { return mael(e,14,1); }
2654 1571733 : INLINE GEN ellff_get_field(GEN x) { return gmael(x, 15, 1); }
2655 683452 : INLINE GEN ellff_get_a4a6(GEN x) { return gmael(x, 15, 2); }
2656 1407 : INLINE GEN ellQp_get_zero(GEN x) { return gmael(x, 15, 1); }
2657 287 : INLINE long ellQp_get_prec(GEN E) { GEN z = ellQp_get_zero(E); return valp(z); }
2658 1085 : INLINE GEN ellQp_get_p(GEN E) { GEN z = ellQp_get_zero(E); return gel(z,2); }
2659 37156 : INLINE long ellR_get_prec(GEN x) { return nbits2prec(mael3(x, 15, 1, 1)); }
2660 12106 : INLINE long ellR_get_sign(GEN x) { return mael3(x, 15, 1, 2); }
2661 700038 : INLINE GEN ellnf_get_nf(GEN x) { return checknf_i(gmael(x,15,1)); }
2662 56 : INLINE GEN ellnf_get_bnf(GEN x) { return checkbnf_i(gmael(x,15,1)); }
2663 :
2664 4626309 : INLINE int checkell_i(GEN e) { return typ(e) == t_VEC && lg(e) == 17; }
2665 33987817 : INLINE int ell_is_inf(GEN z) { return lg(z) == 2; }
2666 810472 : INLINE GEN ellinf(void) { return mkvec(gen_0); }
2667 :
2668 : /*******************************************************************/
2669 : /* */
2670 : /* ALGEBRAIC NUMBER THEORY */
2671 : /* */
2672 : /*******************************************************************/
2673 8605212 : INLINE GEN modpr_get_pr(GEN x) { return gel(x,3); }
2674 609837 : INLINE GEN modpr_get_p(GEN x) { return pr_get_p(modpr_get_pr(x)); }
2675 2751630 : INLINE GEN modpr_get_T(GEN x) { return lg(x) == 4? NULL: gel(x,4); }
2676 :
2677 20627157 : INLINE GEN pr_get_p(GEN pr) { return gel(pr,1); }
2678 6964416 : INLINE GEN pr_get_gen(GEN pr){ return gel(pr,2); }
2679 : /* .[2] instead of itos works: e and f are small positive integers */
2680 2414486 : INLINE long pr_get_e(GEN pr) { return gel(pr,3)[2]; }
2681 9607876 : INLINE long pr_get_f(GEN pr) { return gel(pr,4)[2]; }
2682 6540474 : INLINE GEN pr_get_tau(GEN pr){ return gel(pr,5); }
2683 : INLINE int
2684 3294057 : pr_is_inert(GEN P) { return pr_get_f(P) == lg(pr_get_gen(P))-1; }
2685 : INLINE GEN
2686 240224 : pr_norm(GEN pr) { return powiu(pr_get_p(pr), pr_get_f(pr)); }
2687 : INLINE ulong
2688 48083 : upr_norm(GEN pr) { return upowuu(pr_get_p(pr)[2], pr_get_f(pr)); }
2689 :
2690 : /* assume nf a genuine nf */
2691 : INLINE long
2692 394772 : nf_get_varn(GEN nf) { return varn(gel(nf,1)); }
2693 : INLINE GEN
2694 34332372 : nf_get_pol(GEN nf) { return gel(nf,1); }
2695 : INLINE long
2696 27343335 : nf_get_degree(GEN nf) { return degpol( nf_get_pol(nf) ); }
2697 : INLINE long
2698 4176852 : nf_get_r1(GEN nf) { GEN x = gel(nf,2); return itou(gel(x,1)); }
2699 : INLINE long
2700 1680 : nf_get_r2(GEN nf) { GEN x = gel(nf,2); return itou(gel(x,2)); }
2701 : INLINE GEN
2702 58884 : nf_get_disc(GEN nf) { return gel(nf,3); }
2703 : INLINE GEN
2704 877514 : nf_get_index(GEN nf) { return gel(nf,4); }
2705 : INLINE GEN
2706 2899191 : nf_get_M(GEN nf) { return gmael(nf,5,1); }
2707 : INLINE GEN
2708 85850 : nf_get_G(GEN nf) { return gmael(nf,5,2); }
2709 : INLINE GEN
2710 426793 : nf_get_roundG(GEN nf) { return gmael(nf,5,3); }
2711 : INLINE GEN
2712 24367 : nf_get_Tr(GEN nf) { return gmael(nf,5,4); }
2713 : INLINE GEN
2714 2331 : nf_get_diff(GEN nf) { return gmael(nf,5,5); }
2715 : INLINE GEN
2716 210 : nf_get_ramified_primes(GEN nf) { return gmael(nf,5,8); }
2717 : INLINE GEN
2718 383513 : nf_get_roots(GEN nf) { return gel(nf,6); }
2719 : INLINE GEN
2720 112 : nf_get_zk(GEN nf)
2721 : {
2722 112 : GEN y = gel(nf,7), D = gel(y, 1);
2723 112 : if (typ(D) == t_POL) D = gel(D, 2);
2724 112 : if (!equali1(D)) y = gdiv(y, D);
2725 112 : return y;
2726 : }
2727 : INLINE GEN
2728 287519 : nf_get_zkprimpart(GEN nf)
2729 : {
2730 287519 : GEN y = gel(nf,7);
2731 : /* test for old format of nf.zk: non normalized */
2732 287519 : if (!equali1(gel(nf,4)) && gequal1(gel(y,1))) y = Q_remove_denom(y,NULL);
2733 287518 : return y;
2734 : }
2735 : INLINE GEN
2736 288826 : nf_get_zkden(GEN nf)
2737 : {
2738 288826 : GEN y = gel(nf,7), D = gel(y,1);
2739 288826 : if (typ(D) == t_POL) D = gel(D,2);
2740 : /* test for old format of nf.zk: non normalized */
2741 288826 : if (!equali1(gel(nf,4)) && equali1(D)) D = Q_denom(y);
2742 288823 : return D;
2743 : }
2744 : INLINE GEN
2745 2696760 : nf_get_invzk(GEN nf) { return gel(nf,8); }
2746 : INLINE void
2747 23487 : nf_get_sign(GEN nf, long *r1, long *r2)
2748 : {
2749 23487 : GEN x = gel(nf,2);
2750 23487 : *r1 = itou(gel(x,1));
2751 23487 : *r2 = itou(gel(x,2));
2752 23487 : }
2753 :
2754 : INLINE GEN
2755 94928 : abgrp_get_no(GEN x) { return gel(x,1); }
2756 : INLINE GEN
2757 2514099 : abgrp_get_cyc(GEN x) { return gel(x,2); }
2758 : INLINE GEN
2759 458868 : abgrp_get_gen(GEN x) { return gel(x,3); }
2760 : INLINE GEN
2761 2310131 : bnf_get_nf(GEN bnf) { return gel(bnf,7); }
2762 : INLINE GEN
2763 907026 : bnf_get_clgp(GEN bnf) { return gmael(bnf,8,1); }
2764 : INLINE GEN
2765 7098 : bnf_get_no(GEN bnf) { return abgrp_get_no(bnf_get_clgp(bnf)); }
2766 : INLINE GEN
2767 488723 : bnf_get_cyc(GEN bnf) { return abgrp_get_cyc(bnf_get_clgp(bnf)); }
2768 : INLINE GEN
2769 410876 : bnf_get_gen(GEN bnf) { return abgrp_get_gen(bnf_get_clgp(bnf)); }
2770 : INLINE GEN
2771 846 : bnf_get_reg(GEN bnf) { return gmael(bnf,8,2); }
2772 : INLINE GEN
2773 510247 : bnf_get_logfu(GEN bnf) { return gel(bnf,3); }
2774 : INLINE GEN
2775 8738 : bnf_get_tuU(GEN bnf) { return gmael3(bnf,8,4,2); }
2776 : INLINE long
2777 41853 : bnf_get_tuN(GEN bnf) { return gmael3(bnf,8,4,1)[2]; }
2778 : INLINE GEN
2779 1778 : bnf_get_fu(GEN bnf) {
2780 1778 : GEN fu = bnf_get_fu_nocheck(bnf);
2781 1778 : if (typ(fu) == t_MAT) pari_err(e_MISC,"missing units in bnf");
2782 1778 : return fu;
2783 : }
2784 : INLINE GEN
2785 10103 : bnf_get_fu_nocheck(GEN bnf) { return gmael(bnf,8,5); }
2786 :
2787 : INLINE GEN
2788 907086 : bnr_get_bnf(GEN bnr) { return gel(bnr,1); }
2789 : INLINE GEN
2790 464652 : bnr_get_bid(GEN bnr) { return gel(bnr,2); }
2791 : INLINE GEN
2792 20125 : bnr_get_mod(GEN bnr) { return gmael(bnr,2,1); }
2793 : INLINE GEN
2794 34958 : bnr_get_nf(GEN bnr) { return gmael(bnr,1,7); }
2795 : INLINE GEN
2796 710485 : bnr_get_clgp(GEN bnr) { return gel(bnr,5); }
2797 : INLINE GEN
2798 84063 : bnr_get_no(GEN bnr) { return abgrp_get_no(bnr_get_clgp(bnr)); }
2799 : INLINE GEN
2800 610126 : bnr_get_cyc(GEN bnr) { return abgrp_get_cyc(bnr_get_clgp(bnr)); }
2801 : INLINE GEN
2802 70 : bnr_get_gen_nocheck(GEN bnr) { return abgrp_get_gen(bnr_get_clgp(bnr)); }
2803 : INLINE GEN
2804 14931 : bnr_get_gen(GEN bnr) {
2805 14931 : GEN G = bnr_get_clgp(bnr);
2806 14931 : if (lg(G) != 4)
2807 0 : pari_err(e_MISC,"missing bnr generators: please use bnrinit(,,1)");
2808 14931 : return gel(G,3);
2809 : }
2810 :
2811 : INLINE GEN
2812 337266 : bid_get_mod(GEN bid) { return gel(bid,1); }
2813 : INLINE GEN
2814 68089 : bid_get_ideal(GEN bid) { return gmael(bid,1,1); }
2815 : INLINE GEN
2816 1246 : bid_get_arch(GEN bid) { return gmael(bid,1,2); }
2817 : INLINE GEN
2818 1272996 : bid_get_grp(GEN bid) { return gel(bid,2); }
2819 : INLINE GEN
2820 506435 : bid_get_fact(GEN bid) { return gmael(bid,3,1); }
2821 : INLINE GEN
2822 436183 : bid_get_fact2(GEN bid) { return gmael(bid,3,2); }
2823 : INLINE GEN
2824 435252 : bid_get_sprk(GEN bid) { return gmael(bid,4,1); }
2825 : INLINE GEN
2826 49322 : bid_get_sarch(GEN bid) { return gmael(bid,4,2); }
2827 : INLINE GEN
2828 471442 : bid_get_archp(GEN bid) { return gmael3(bid,4,2,2); }
2829 : INLINE GEN
2830 772749 : bid_get_U(GEN bid) { return gel(bid,5); }
2831 : INLINE GEN
2832 0 : bid_get_no(GEN bid) { return abgrp_get_no(bid_get_grp(bid)); }
2833 : INLINE GEN
2834 1225998 : bid_get_cyc(GEN bid) { return abgrp_get_cyc(bid_get_grp(bid)); }
2835 : INLINE GEN
2836 0 : bid_get_gen_nocheck(GEN bid) { return abgrp_get_gen(bid_get_grp(bid)); }
2837 : INLINE GEN
2838 46403 : bid_get_gen(GEN bid) {
2839 46403 : GEN G = bid_get_grp(bid);
2840 46403 : if (lg(G) != 4) pari_err(e_MISC,"missing bid generators. Use idealstar(,,2)");
2841 46403 : return abgrp_get_gen(G);
2842 : }
2843 :
2844 : INLINE GEN
2845 25912502 : znstar_get_N(GEN G) { return gmael(G,1,1); }
2846 : INLINE GEN
2847 2868670 : znstar_get_faN(GEN G) { return gel(G,3); }
2848 : INLINE GEN
2849 7 : znstar_get_no(GEN G) { return abgrp_get_no(gel(G,2)); }
2850 : INLINE GEN
2851 187831 : znstar_get_cyc(GEN G) { return abgrp_get_cyc(gel(G,2)); }
2852 : INLINE GEN
2853 7 : znstar_get_gen(GEN G) { return abgrp_get_gen(gel(G,2)); }
2854 : INLINE GEN
2855 3544457 : znstar_get_conreycyc(GEN G) { return gmael(G,4,5); }
2856 : INLINE GEN
2857 1217594 : znstar_get_conreygen(GEN G) { return gmael(G,4,4); }
2858 : INLINE GEN
2859 45927 : znstar_get_Ui(GEN G) { return gmael(G,4,3); }
2860 : INLINE GEN
2861 118237 : znstar_get_U(GEN G) { return gel(G,5); }
2862 : INLINE GEN
2863 824166 : znstar_get_pe(GEN G) { return gmael(G,4,1); }
2864 : INLINE GEN
2865 19922 : gal_get_pol(GEN gal) { return gel(gal,1); }
2866 : INLINE GEN
2867 1330 : gal_get_p(GEN gal) { return gmael(gal,2,1); }
2868 : INLINE GEN
2869 84 : gal_get_e(GEN gal) { return gmael(gal,2,2); }
2870 : INLINE GEN
2871 15981 : gal_get_mod(GEN gal) { return gmael(gal,2,3); }
2872 : INLINE GEN
2873 16359 : gal_get_roots(GEN gal) { return gel(gal,3); }
2874 : INLINE GEN
2875 15932 : gal_get_invvdm(GEN gal) { return gel(gal,4); }
2876 : INLINE GEN
2877 15932 : gal_get_den(GEN gal) { return gel(gal,5); }
2878 : INLINE GEN
2879 67162 : gal_get_group(GEN gal) { return gel(gal,6); }
2880 : INLINE GEN
2881 1750 : gal_get_gen(GEN gal) { return gel(gal,7); }
2882 : INLINE GEN
2883 1386 : gal_get_orders(GEN gal) { return gel(gal,8); }
2884 :
2885 : /* assume rnf a genuine rnf */
2886 : INLINE long
2887 1233841 : rnf_get_degree(GEN rnf) { return degpol(rnf_get_pol(rnf)); }
2888 : INLINE long
2889 16674 : rnf_get_nfdegree(GEN rnf) { return degpol(nf_get_pol(rnf_get_nf(rnf))); }
2890 : INLINE long
2891 775698 : rnf_get_absdegree(GEN rnf) { return degpol(gmael(rnf,11,1)); }
2892 : INLINE GEN
2893 700 : rnf_get_idealdisc(GEN rnf) { return gmael(rnf,3,1); }
2894 : INLINE GEN
2895 742 : rnf_get_k(GEN rnf) { return gmael(rnf,11,3); }
2896 : INLINE GEN
2897 791 : rnf_get_alpha(GEN rnf) { return gmael(rnf, 11, 2); }
2898 : INLINE GEN
2899 427735 : rnf_get_nf(GEN rnf) { return gel(rnf,10); }
2900 : INLINE GEN
2901 3787 : rnf_get_nfzk(GEN rnf) { return gel(rnf,2); }
2902 : INLINE GEN
2903 214886 : rnf_get_polabs(GEN rnf) { return gmael(rnf,11,1); }
2904 : INLINE GEN
2905 1480052 : rnf_get_pol(GEN rnf) { return gel(rnf,1); }
2906 : INLINE GEN
2907 63 : rnf_get_disc(GEN rnf) { return gel(rnf,3); }
2908 : INLINE GEN
2909 105 : rnf_get_index(GEN rnf) { return gel(rnf,4); }
2910 : INLINE long
2911 0 : rnf_get_varn(GEN rnf) { return varn(gel(rnf,1)); }
2912 : INLINE GEN
2913 188580 : rnf_get_nfpol(GEN rnf) { return gmael(rnf,10,1); }
2914 : INLINE long
2915 3325 : rnf_get_nfvarn(GEN rnf) { return varn(gmael(rnf,10,1)); }
2916 : INLINE GEN
2917 3493 : rnf_get_zk(GEN rnf) { return gel(rnf,7); }
2918 : INLINE GEN
2919 97321 : rnf_get_map(GEN rnf) { return gel(rnf,11); }
2920 : INLINE GEN
2921 1197 : rnf_get_invzk(GEN rnf) { return gel(rnf,8); }
2922 :
2923 : /* I integral ZM (not HNF), G ZM, rounded Cholesky form of a weighted
2924 : * T2 matrix. Reduce I wrt G */
2925 : INLINE GEN
2926 21966 : idealpseudored(GEN I, GEN G)
2927 21966 : { return ZM_mul(I, ZM_lll(ZM_mul(G, I), 0.99, LLL_IM)); }
2928 :
2929 : /* I integral (not necessarily HNF), G ZM, rounded Cholesky form of a weighted
2930 : * T2 matrix. Return m in I with T2(m) small */
2931 : INLINE GEN
2932 145890 : idealpseudomin(GEN I, GEN G)
2933 : {
2934 145890 : GEN u = ZM_lll(ZM_mul(G, I), 0.99, LLL_IM);
2935 145890 : return ZM_ZC_mul(I, gel(u,1));
2936 : }
2937 : /* I, G as in idealpseudomin. Return an irrational m in I with T2(m) small */
2938 : INLINE GEN
2939 313936 : idealpseudomin_nonscalar(GEN I, GEN G)
2940 : {
2941 313936 : GEN u = ZM_lll(ZM_mul(G, I), 0.99, LLL_IM);
2942 313936 : GEN m = ZM_ZC_mul(I, gel(u,1));
2943 313936 : if (ZV_isscalar(m) && lg(u) > 2) m = ZM_ZC_mul(I, gel(u,2));
2944 313936 : return m;
2945 : }
2946 :
2947 : INLINE GEN
2948 938 : idealred_elt(GEN nf, GEN I) {
2949 938 : pari_sp av = avma;
2950 938 : GEN u = idealpseudomin(I, nf_get_roundG(nf));
2951 938 : return gerepileupto(av, u);
2952 : }
2953 : INLINE GEN
2954 127946 : idealred(GEN nf, GEN I) { return idealred0(nf, I, NULL); }
2955 :
2956 : INLINE GEN
2957 2058 : idealchineseinit(GEN nf, GEN x)
2958 2058 : { return idealchinese(nf,x,NULL); }
2959 :
2960 : /*******************************************************************/
2961 : /* */
2962 : /* CLOSURES */
2963 : /* */
2964 : /*******************************************************************/
2965 225594651 : INLINE long closure_arity(GEN C) { return ((ulong)C[1])&ARITYBITS; }
2966 35537346 : INLINE long closure_is_variadic(GEN C) { return !!(((ulong)C[1])&VARARGBITS); }
2967 189733693 : INLINE const char *closure_codestr(GEN C) { return GSTR(gel(C,2))-1; }
2968 0 : INLINE GEN closure_get_code(GEN C) { return gel(C,2); }
2969 189712887 : INLINE GEN closure_get_oper(GEN C) { return gel(C,3); }
2970 189694939 : INLINE GEN closure_get_data(GEN C) { return gel(C,4); }
2971 9873 : INLINE GEN closure_get_dbg(GEN C) { return gel(C,5); }
2972 23708 : INLINE GEN closure_get_text(GEN C) { return gel(C,6); }
2973 1275649 : INLINE GEN closure_get_frame(GEN C) { return gel(C,7); }
2974 :
2975 : /*******************************************************************/
2976 : /* */
2977 : /* ERRORS */
2978 : /* */
2979 : /*******************************************************************/
2980 : INLINE long
2981 53165 : err_get_num(GEN e) { return e[1]; }
2982 : INLINE GEN
2983 105 : err_get_compo(GEN e, long i) { return gel(e, i+1); }
2984 :
2985 : INLINE void
2986 14 : pari_err_BUG(const char *f) { pari_err(e_BUG,f); }
2987 : INLINE void
2988 7 : pari_err_CONSTPOL(const char *f) { pari_err(e_CONSTPOL, f); }
2989 : INLINE void
2990 63 : pari_err_COPRIME(const char *f, GEN x, GEN y) { pari_err(e_COPRIME, f,x,y); }
2991 : INLINE void
2992 494 : pari_err_DIM(const char *f) { pari_err(e_DIM, f); }
2993 : INLINE void
2994 0 : pari_err_FILE(const char *f, const char *g) { pari_err(e_FILE, f,g); }
2995 : INLINE void
2996 0 : pari_err_FILEDESC(const char *f, long n) { pari_err(e_FILEDESC, f,n); }
2997 : INLINE void
2998 77 : pari_err_FLAG(const char *f) { pari_err(e_FLAG,f); }
2999 : INLINE void
3000 434 : pari_err_IMPL(const char *f) { pari_err(e_IMPL,f); }
3001 : INLINE void
3002 19751 : pari_err_INV(const char *f, GEN x) { pari_err(e_INV,f,x); }
3003 : INLINE void
3004 42 : pari_err_IRREDPOL(const char *f, GEN x) { pari_err(e_IRREDPOL, f,x); }
3005 : INLINE void
3006 2099 : 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); }
3007 : INLINE void
3008 200 : pari_err_COMPONENT(const char *f, const char *op, GEN l, GEN x) { pari_err(e_COMPONENT, f,op,l,x); }
3009 : INLINE void
3010 0 : pari_err_MAXPRIME(ulong c) { pari_err(e_MAXPRIME, c); }
3011 : INLINE void
3012 350 : pari_err_OP(const char *f, GEN x, GEN y) { pari_err(e_OP, f,x,y); }
3013 : INLINE void
3014 93 : pari_err_OVERFLOW(const char *f) { pari_err(e_OVERFLOW, f); }
3015 : INLINE void
3016 225 : pari_err_PREC(const char *f) { pari_err(e_PREC,f); }
3017 : INLINE void
3018 0 : pari_err_PACKAGE(const char *f) { pari_err(e_PACKAGE,f); }
3019 : INLINE void
3020 77 : pari_err_PRIME(const char *f, GEN x) { pari_err(e_PRIME, f,x); }
3021 : INLINE void
3022 749 : pari_err_MODULUS(const char *f, GEN x, GEN y) { pari_err(e_MODULUS, f,x,y); }
3023 : INLINE void
3024 49 : pari_err_ROOTS0(const char *f) { pari_err(e_ROOTS0, f); }
3025 : INLINE void
3026 84 : pari_err_SQRTN(const char *f, GEN x) { pari_err(e_SQRTN, f,x); }
3027 : INLINE void
3028 12741 : pari_err_TYPE(const char *f, GEN x) { pari_err(e_TYPE, f,x); }
3029 : INLINE void
3030 3045 : pari_err_TYPE2(const char *f, GEN x, GEN y) { pari_err(e_TYPE2, f,x,y); }
3031 : INLINE void
3032 280 : pari_err_VAR(const char *f, GEN x, GEN y) { pari_err(e_VAR, f,x,y); }
3033 : INLINE void
3034 182 : pari_err_PRIORITY(const char *f, GEN x, const char *op, long v)
3035 182 : { pari_err(e_PRIORITY, f,x,op,v); }
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