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 3186708 : 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 2954224 : mkpolmod(GEN x, GEN y) { retmkpolmod(x,y); }
149 : INLINE GEN
150 23354192 : mkfrac(GEN x, GEN y) { retmkfrac(x,y); }
151 : INLINE GEN
152 31983 : 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 13181 : Qtoss(GEN q, long *n, long *d)
156 : {
157 13181 : if (typ(q) == t_INT) { *n = itos(q); *d = 1; }
158 2464 : else { *n = itos(gel(q,1)); *d = itou(gel(q,2)); }
159 13181 : }
160 : INLINE GEN
161 71390265 : sstoQ(long n, long d)
162 : {
163 : ulong r;
164 : long g, q;
165 71390265 : if (!n)
166 : {
167 99715 : if (!d) pari_err_INV("sstoQ",gen_0);
168 99715 : return gen_0;
169 : }
170 71290550 : if (d < 0) { d = -d; n = -n; }
171 71290550 : if (d == 1) return stoi(n);
172 71278559 : q = udivuu_rem(labs(n),d,&r);
173 71278559 : if (!r) return n > 0? utoipos(q): utoineg(q);
174 3639470 : g = ugcd(d,r); /* gcd(n,d) */
175 3639470 : if (g != 1) { n /= g; d /= g; }
176 3639470 : retmkfrac(stoi(n), utoi(d));
177 : }
178 :
179 : INLINE GEN
180 15881855 : 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 10483582 : mkcomplex(GEN x, GEN y) { retmkcomplex(x,y); }
189 : INLINE GEN
190 451319 : gen_I(void) { return mkcomplex(gen_0, gen_1); }
191 : INLINE GEN
192 299003 : 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 71357545 : mkvecsmall(long x) { GEN v = cgetg(2, t_VECSMALL); v[1] = x; return v; }
199 : INLINE GEN
200 114789541 : mkvecsmall2(long x,long y) { GEN v = cgetg(3, t_VECSMALL);
201 114797368 : v[1]=x; v[2]=y; return v; }
202 : INLINE GEN
203 58482385 : mkvecsmall3(long x,long y,long z) { GEN v = cgetg(4, t_VECSMALL);
204 58479011 : v[1]=x; v[2]=y; v[3]=z; return v; }
205 : INLINE GEN
206 11964449 : mkvecsmall4(long x,long y,long z,long t) { GEN v = cgetg(5, t_VECSMALL);
207 11954199 : v[1]=x; v[2]=y; v[3]=z; v[4]=t; return v; }
208 : INLINE GEN
209 466832 : mkvecsmall5(long x,long y,long z,long t,long u) { GEN v = cgetg(6, t_VECSMALL);
210 466834 : 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 15005092 : mkvec(GEN x) { retmkvec(x); }
217 : INLINE GEN
218 103572813 : mkvec2(GEN x, GEN y) { retmkvec2(x,y); }
219 : INLINE GEN
220 78793806 : mkvec3(GEN x, GEN y, GEN z) { retmkvec3(x,y,z); }
221 : INLINE GEN
222 7277581 : mkvec4(GEN x, GEN y, GEN z, GEN t) { retmkvec4(x,y,z,t); }
223 : INLINE GEN
224 12168728 : 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 23875 : 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 100263 : mkvec2copy(GEN x, GEN y) {
237 100263 : GEN v = cgetg(3,t_VEC); gel(v,1) = gcopy(x); gel(v,2) = gcopy(y); return v; }
238 : /* col */
239 : INLINE GEN
240 2560868 : mkcol(GEN x) { retmkcol(x); }
241 : INLINE GEN
242 25664833 : 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 8900 : 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 2559145 : mkmat(GEN x) { retmkmat(x); }
264 : INLINE GEN
265 32236510 : 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 23951 : 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 97685 : mkoo(void) { GEN v = cgetg(2, t_INFINITY); gel(v,1) = gen_1; return v; }
278 : INLINE GEN
279 18060 : mkmoo(void) { GEN v = cgetg(2, t_INFINITY); gel(v,1) = gen_m1; return v; }
280 : INLINE long
281 135706 : 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 1533140 : mkmat22(GEN a, GEN b, GEN c, GEN d) { retmkmat2(mkcol2(a,c),mkcol2(b,d)); }
286 :
287 : /* pol */
288 : INLINE GEN
289 1008719 : pol_x(long v) {
290 1008719 : GEN p = cgetg(4, t_POL);
291 1008718 : p[1] = evalsigne(1)|evalvarn(v);
292 1008718 : gel(p,2) = gen_0;
293 1008718 : gel(p,3) = gen_1; return p;
294 : }
295 : /* x^n, assume n >= 0 */
296 : INLINE GEN
297 8780266 : pol_xn(long n, long v) {
298 8780266 : long i, a = n+2;
299 8780266 : GEN p = cgetg(a+1, t_POL);
300 8780266 : p[1] = evalsigne(1)|evalvarn(v);
301 8780266 : for (i = 2; i < a; i++) gel(p,i) = gen_0;
302 8780266 : 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 1445820 : pol_1(long v) {
313 1445820 : GEN p = cgetg(3, t_POL);
314 1445818 : p[1] = evalsigne(1)|evalvarn(v);
315 1445818 : gel(p,2) = gen_1; return p;
316 : }
317 : INLINE GEN
318 32623421 : pol_0(long v)
319 : {
320 32623421 : GEN x = cgetg(2,t_POL);
321 32623421 : 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 9132893 : 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 8688971 : const_col(long n, GEN x) { retconst_col(n, x); }
337 : INLINE GEN
338 8753130 : const_vecsmall(long n, long c)
339 : {
340 : long i;
341 8753130 : GEN V = cgetg(n+1,t_VECSMALL);
342 8753384 : for(i=1;i<=n;i++) V[i] = c;
343 8753384 : return V;
344 : }
345 :
346 : /*** ZERO ***/
347 : /* O(p^e) */
348 : INLINE GEN
349 363738 : zeropadic(GEN p, long e)
350 : {
351 363738 : GEN y = cgetg(5,t_PADIC);
352 363738 : gel(y,4) = gen_0;
353 363738 : gel(y,3) = gen_1;
354 363738 : gel(y,2) = icopy(p);
355 363738 : y[1] = evalvalp(e) | _evalprecp(0);
356 363738 : 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 144235 : zeroser(long v, long e)
371 : {
372 144235 : GEN x = cgetg(2, t_SER);
373 144235 : x[1] = evalvalp(e) | evalvarn(v); return x;
374 : }
375 : INLINE int
376 5470766 : ser_isexactzero(GEN x)
377 : {
378 5470766 : if (!signe(x)) switch(lg(x))
379 : {
380 136717 : case 2: return 1;
381 854 : case 3: return isexactzero(gel(x,2));
382 : }
383 5333195 : return 0;
384 : }
385 : /* 0 * pol_x(v) */
386 : INLINE GEN
387 15550532 : zeropol(long v) { return pol_0(v); }
388 : /* vector(n) */
389 : INLINE GEN
390 38038383 : zerocol(long n)
391 : {
392 38038383 : GEN y = cgetg(n+1,t_COL);
393 38038636 : long i; for (i=1; i<=n; i++) gel(y,i) = gen_0;
394 38038636 : return y;
395 : }
396 : /* vectorv(n) */
397 : INLINE GEN
398 21799997 : zerovec(long n)
399 : {
400 21799997 : GEN y = cgetg(n+1,t_VEC);
401 21800000 : long i; for (i=1; i<=n; i++) gel(y,i) = gen_0;
402 21800000 : 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 930143 : zero_Flx(long sv) { return pol0_Flx(sv); }
416 : INLINE GEN
417 34080999 : zero_Flv(long n)
418 : {
419 34080999 : GEN y = cgetg(n+1,t_VECSMALL);
420 34082205 : long i; for (i=1; i<=n; i++) y[i] = 0;
421 34082205 : return y;
422 : }
423 : /* matrix(m, n) */
424 : INLINE GEN
425 980637 : zero_Flm(long m, long n)
426 : {
427 980637 : GEN y = cgetg(n+1,t_MAT);
428 980616 : GEN v = zero_Flv(m);
429 980634 : long i; for (i=1; i<=n; i++) gel(y,i) = v;
430 980634 : return y;
431 : }
432 : /* matrix(m, n) */
433 : INLINE GEN
434 111529 : zero_Flm_copy(long m, long n)
435 : {
436 111529 : GEN y = cgetg(n+1,t_MAT);
437 111520 : long i; for (i=1; i<=n; i++) gel(y,i) = zero_Flv(m);
438 111533 : return y;
439 : }
440 :
441 : INLINE GEN
442 869995 : zero_F2v(long m)
443 : {
444 869995 : long l = nbits2nlong(m);
445 869995 : GEN v = zero_Flv(l+1);
446 869995 : v[1] = m;
447 869995 : 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 299820 : zero_F2m_copy(long m, long n)
464 : {
465 : long i;
466 299820 : GEN M = cgetg(n+1, t_MAT);
467 889681 : for (i = 1; i <= n; i++)
468 589861 : gel(M,i)= zero_F2v(m);
469 299820 : return M;
470 : }
471 :
472 : /* matrix(m, n) */
473 : INLINE GEN
474 4977910 : zeromatcopy(long m, long n)
475 : {
476 4977910 : GEN y = cgetg(n+1,t_MAT);
477 4977910 : long i; for (i=1; i<=n; i++) gel(y,i) = zerocol(m);
478 4977910 : 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 1502512 : col_ei(long n, long i) { GEN e = zerocol(n); gel(e,i) = gen_1; return e; }
494 : INLINE GEN
495 349420 : 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 75145 : vecsmall_ei(long n, long i) { GEN e = zero_zv(n); e[i] = 1; return e; }
500 : INLINE GEN
501 708443 : Rg_col_ei(GEN x, long n, long i) { GEN e = zerocol(n); gel(e,i) = x; return e; }
502 :
503 : INLINE GEN
504 12834784 : shallowcopy(GEN x)
505 12834784 : { return typ(x) == t_MAT ? RgM_shallowcopy(x): leafcopy(x); }
506 :
507 : /* routines for naive growarrays */
508 : INLINE GEN
509 12375014 : vectrunc_init(long l)
510 : {
511 12375014 : GEN z = new_chunk(l);
512 12375129 : z[0] = evaltyp(t_VEC) | _evallg(1); return z;
513 : }
514 : INLINE GEN
515 346899 : coltrunc_init(long l)
516 : {
517 346899 : GEN z = new_chunk(l);
518 346899 : z[0] = evaltyp(t_COL) | _evallg(1); return z;
519 : }
520 : INLINE void
521 261906889 : lg_increase(GEN x) { x[0]++; }
522 : INLINE void
523 51348999 : 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 86318309 : vecsmalltrunc_init(long l)
534 : {
535 86318309 : GEN z = new_chunk(l);
536 86318309 : z[0] = evaltyp(t_VECSMALL) | _evallg(1); return z;
537 : }
538 : INLINE void
539 33198828 : 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 1971022 : hash_str(const char *str)
548 : {
549 1971022 : ulong hash = 5381UL, c;
550 21377061 : while ( (c = (ulong)*str++) )
551 17435017 : hash = ((hash << 5) + hash) + c; /* hash * 33 + c */
552 1971022 : return hash;
553 : }
554 : INLINE ulong
555 6602538 : hash_str_len(const char *str, long len)
556 : {
557 6602538 : ulong hash = 5381UL;
558 : long i;
559 25131349 : for (i = 0; i < len; i++)
560 : {
561 18528811 : ulong c = (ulong)*str++;
562 18528811 : hash = ((hash << 5) + hash) + c; /* hash * 33 + c */
563 : }
564 6602538 : 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 13827 : vec_lengthen(GEN v, long n)
584 : {
585 : long i;
586 13827 : long l=lg(v);
587 13827 : GEN V = cgetg(n+1,t_VEC);
588 13827 : for(i=1;i<l;i++) gel(V,i) = gel(v,i);
589 13827 : return V;
590 : }
591 : /* shallow*/
592 : INLINE GEN
593 79576 : vec_append(GEN V, GEN s)
594 : {
595 79576 : long i, l2 = lg(V);
596 79576 : GEN res = cgetg(l2+1, typ(V));
597 79576 : for (i = 1; i < l2; ++i) gel(res, i) = gel(V,i);
598 79576 : gel(res,l2) = s; return res;
599 : }
600 : /* shallow*/
601 : INLINE GEN
602 2050 : vec_prepend(GEN v, GEN s)
603 : {
604 2050 : long i, l = lg(v);
605 2050 : GEN w = cgetg(l+1, typ(v));
606 2050 : gel(w,1) = s;
607 2050 : for (i = 2; i <= l; ++i) gel(w,i) = gel(v,i-1);
608 2050 : 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 41793 : vecsmall_shorten(GEN v, long n)
620 : {
621 : long i;
622 41793 : GEN V = cgetg(n+1,t_VECSMALL);
623 41793 : for(i=1;i<=n;i++) V[i] = v[i];
624 41793 : 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 3324305 : vec_to_vecsmall(GEN x)
637 3324305 : { 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 5252648 : vecsmall_to_col(GEN x)
650 5252648 : { pari_APPLY_type(t_COL, stoi(x[i])) }
651 :
652 : INLINE int
653 8141687 : vecsmall_lexcmp(GEN x, GEN y)
654 : {
655 : long lx,ly,l,i;
656 8141687 : lx = lg(x);
657 8141687 : ly = lg(y); l = minss(lx,ly);
658 39708542 : for (i=1; i<l; i++)
659 37836613 : 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 85155882 : vecsmall_prefixcmp(GEN x, GEN y)
666 : {
667 85155882 : long i, lx = lg(x), ly = lg(y), l = minss(lx,ly);
668 394028124 : for (i=1; i<l; i++)
669 374395413 : if (x[i] != y[i]) return x[i]<y[i]? -1: 1;
670 19632711 : return 0;
671 : }
672 :
673 : /*Can be used on t_VEC, but coeffs not gcopy-ed*/
674 : INLINE GEN
675 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 3134235 : vecsmall_append(GEN V, long s)
686 : {
687 3134235 : long i, l2 = lg(V);
688 3134235 : GEN res = cgetg(l2+1, t_VECSMALL);
689 3134235 : for (i = 1; i < l2; ++i) res[i] = V[i];
690 3134235 : res[l2] = s; return res;
691 : }
692 :
693 : INLINE GEN
694 841428 : vecsmall_concat(GEN u, GEN v)
695 : {
696 841428 : long i, l1 = lg(u)-1, l2 = lg(v)-1;
697 841428 : GEN res = cgetg(l1+l2+1, t_VECSMALL);
698 841428 : for (i = 1; i <= l1; ++i) res[i] = u[i];
699 841428 : for (i = 1; i <= l2; ++i) res[i+l1] = v[i];
700 841428 : 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 180411 : vecsmall_max(GEN x)
742 : {
743 180411 : long i, t = x[1], lx = lg(x);
744 636858 : for (i=2; i<lx; i++)
745 456447 : if (x[i] > t) t = x[i];
746 180411 : 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 5190316 : ZV_isscalar(GEN x)
769 : {
770 5190316 : long l = lg(x);
771 14874953 : while (--l > 1)
772 8533946 : if (signe(gel(x, l))) return 0;
773 1150691 : return 1;
774 : }
775 : INLINE int
776 21593551 : QV_isscalar(GEN x)
777 : {
778 21593551 : long lx = lg(x),i;
779 23253152 : for (i=2; i<lx; i++)
780 22631221 : if (!isintzero(gel(x, i))) return 0;
781 621931 : 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 28828558 : RgX_equal_var(GEN x, GEN y) { return varn(x) == varn(y) && RgX_equal(x,y); }
801 :
802 : INLINE int
803 7610 : RgX_is_rational(GEN x)
804 : {
805 : long i;
806 34566 : for (i = lg(x)-1; i > 1; i--)
807 32087 : if (!is_rational_t(typ(gel(x,i)))) return 0;
808 2479 : return 1;
809 : }
810 : INLINE int
811 4689158 : RgX_is_ZX(GEN x)
812 : {
813 : long i;
814 20250289 : for (i = lg(x)-1; i > 1; i--)
815 15613732 : if (typ(gel(x,i)) != t_INT) return 0;
816 4636557 : return 1;
817 : }
818 : INLINE int
819 273622 : RgX_is_QX(GEN x)
820 : {
821 273622 : long k = lg(x)-1;
822 1001391 : for ( ; k>1; k--)
823 728021 : if (!is_rational_t(typ(gel(x,k)))) return 0;
824 273370 : return 1;
825 : }
826 : INLINE int
827 2347851 : RgX_is_monomial(GEN x)
828 : {
829 : long i;
830 2347851 : if (!signe(x)) return 0;
831 5857900 : for (i=lg(x)-2; i>1; i--)
832 3565202 : if (!isexactzero(gel(x,i))) return 0;
833 2292698 : return 1;
834 : }
835 : INLINE int
836 27477941 : RgV_is_ZV(GEN x)
837 : {
838 : long i;
839 112615748 : for (i = lg(x)-1; i > 0; i--)
840 85140292 : if (typ(gel(x,i)) != t_INT) return 0;
841 27475456 : return 1;
842 : }
843 : INLINE int
844 23153 : RgV_is_QV(GEN x)
845 : {
846 : long i;
847 101842 : for (i = lg(x)-1; i > 0; i--)
848 80320 : if (!is_rational_t(typ(gel(x,i)))) return 0;
849 21522 : return 1;
850 : }
851 :
852 : /********************************************************************/
853 : /** **/
854 : /** Dynamic arrays implementation **/
855 : /** **/
856 : /********************************************************************/
857 : INLINE void **
858 405003438 : pari_stack_base(pari_stack *s) { return s->data; }
859 :
860 : INLINE void
861 1961359 : pari_stack_init(pari_stack *s, size_t size, void **data)
862 : {
863 1961359 : s->data = data;
864 1961359 : *data = NULL;
865 1961359 : s->n = 0;
866 1961359 : s->alloc = 0;
867 1961359 : s->size = size;
868 1961359 : }
869 :
870 : INLINE void
871 403250999 : pari_stack_alloc(pari_stack *s, long nb)
872 : {
873 403250999 : void **sdat = pari_stack_base(s);
874 403157593 : long alloc = s->alloc;
875 403157593 : if (s->n+nb <= alloc) return;
876 803967 : if (!alloc)
877 743912 : alloc = nb;
878 : else
879 : {
880 60055 : while (s->n+nb > alloc) alloc <<= 1;
881 : }
882 803967 : *sdat = pari_realloc(*sdat,alloc*s->size);
883 805627 : s->alloc = alloc;
884 : }
885 :
886 : INLINE long
887 325432972 : pari_stack_new(pari_stack *s) { pari_stack_alloc(s, 1); return s->n++; }
888 :
889 : INLINE void
890 1786599 : pari_stack_delete(pari_stack *s)
891 : {
892 1786599 : void **sdat = pari_stack_base(s);
893 1783141 : if (*sdat) pari_free(*sdat);
894 1799004 : }
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 209734650 : vecslice(GEN A, long y1, long y2)
911 : {
912 209734650 : long i,lB = y2 - y1 + 2;
913 209734650 : GEN B = cgetg(lB, typ(A));
914 209734019 : for (i=1; i<lB; i++) B[i] = A[y1-1+i];
915 209734019 : return B;
916 : }
917 : INLINE GEN
918 864372 : vecslicepermute(GEN A, GEN p, long y1, long y2)
919 : {
920 864372 : long i,lB = y2 - y1 + 2;
921 864372 : GEN B = cgetg(lB, typ(A));
922 864377 : for (i=1; i<lB; i++) B[i] = A[p[y1-1+i]];
923 864377 : return B;
924 : }
925 : /* rowslice(rowpermute(A,p), x1, x2) */
926 : INLINE GEN
927 43286 : rowslicepermute(GEN x, GEN p, long j1, long j2)
928 43286 : { pari_APPLY_same(vecslicepermute(gel(x,i),p,j1,j2)) }
929 :
930 : INLINE GEN
931 23647798 : rowslice(GEN x, long j1, long j2)
932 23647798 : { pari_APPLY_same(vecslice(gel(x,i), j1, j2)) }
933 :
934 : INLINE GEN
935 3847300 : matslice(GEN A, long x1, long x2, long y1, long y2)
936 3847300 : { 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 264216 : vecsplice(GEN a, long j)
946 : {
947 264216 : long i, k, l = lg(a);
948 : GEN b;
949 264216 : if (l == 1) pari_err(e_MISC, "incorrect component in vecsplice");
950 264216 : b = cgetg(l-1, typ(a));
951 1054889 : for (i = k = 1; i < l; i++)
952 790673 : if (i != j) gel(b, k++) = gel(a,i);
953 264216 : 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 391870 : row(GEN x, long j)
968 391870 : { pari_APPLY_type(t_VEC, gcoeff(x, j, i)) }
969 : INLINE GEN
970 4046045 : Flm_row(GEN x, long j)
971 4046045 : { 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 5830581 : vecreverse(GEN A)
988 : {
989 : long i, l;
990 5830581 : GEN B = cgetg_copy(A, &l);
991 5830581 : for (i=1; i<l; i++) gel(B, i) = gel(A, l-i);
992 5830581 : 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 47063077 : vecsmallpermute(GEN A, GEN p) { return perm_mul(A, p); }
1018 :
1019 : INLINE GEN
1020 6894236 : vecpermute(GEN A, GEN x)
1021 6894236 : { pari_APPLY_type(typ(A), gel(A, x[i])) }
1022 :
1023 : INLINE GEN
1024 3263954 : rowpermute(GEN x, GEN p)
1025 3263954 : { 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 762405 : identity_zv(long n)
1035 : {
1036 762405 : GEN v = cgetg(n+1, t_VECSMALL);
1037 : long i;
1038 762413 : for (i = 1; i <= n; i++) v[i] = i;
1039 762413 : return v;
1040 : }
1041 : INLINE GEN
1042 2114 : identity_ZV(long n)
1043 : {
1044 2114 : GEN v = cgetg(n+1, t_VEC);
1045 : long i;
1046 2114 : for (i = 1; i <= n; i++) gel(v,i) = utoipos(i);
1047 2114 : return v;
1048 : }
1049 : /* identity permutation */
1050 : INLINE GEN
1051 761912 : 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 48339251 : perm_mul(GEN s, GEN x)
1067 48339251 : { pari_APPLY_long(s[x[i]]) }
1068 :
1069 : /* Compute the inverse (reciprocal) of a permutation. */
1070 : INLINE GEN
1071 1218819 : perm_inv(GEN x)
1072 : {
1073 : long i, lx;
1074 1218819 : GEN y = cgetg_copy(x, &lx);
1075 1218821 : for (i=1; i<lx; i++) y[ x[i] ] = i;
1076 1218821 : 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 73910325 : pari_free(void *pointer)
1116 : {
1117 73910325 : BLOCK_SIGINT_START;
1118 73932661 : free(pointer);
1119 73932661 : BLOCK_SIGINT_END;
1120 73929329 : }
1121 : INLINE void*
1122 280920786 : pari_malloc(size_t size)
1123 : {
1124 280920786 : if (size)
1125 : {
1126 : char *tmp;
1127 280920786 : BLOCK_SIGINT_START;
1128 280923296 : tmp = (char*)malloc(size);
1129 280923296 : BLOCK_SIGINT_END;
1130 280923024 : if (!tmp) pari_err(e_MEM);
1131 280923024 : return tmp;
1132 : }
1133 0 : return NULL;
1134 : }
1135 : INLINE void*
1136 819192 : pari_realloc(void *pointer, size_t size)
1137 : {
1138 : char *tmp;
1139 :
1140 819192 : BLOCK_SIGINT_START;
1141 822314 : if (!pointer) tmp = (char *) malloc(size);
1142 63998 : else tmp = (char *) realloc(pointer,size);
1143 822314 : BLOCK_SIGINT_END;
1144 821511 : if (!tmp) pari_err(e_MEM);
1145 821511 : return tmp;
1146 : }
1147 : INLINE void*
1148 37344 : pari_calloc(size_t size)
1149 : {
1150 37344 : void *t = pari_malloc(size);
1151 37344 : memset(t, 0, size); return t;
1152 : }
1153 : INLINE GEN
1154 5845 : cgetalloc(long t, size_t l)
1155 : { /* evallg may raise e_OVERFLOW, which would leak x */
1156 5845 : ulong x0 = evaltyp(t) | evallg(l);
1157 5845 : GEN x = (GEN)pari_malloc(l * sizeof(long));
1158 5845 : x[0] = x0; return x;
1159 : }
1160 :
1161 : /*******************************************************************/
1162 : /* */
1163 : /* GARBAGE COLLECTION */
1164 : /* */
1165 : /*******************************************************************/
1166 : /* copy integer x as if we had set_avma(av) */
1167 : INLINE GEN
1168 3852982611 : icopy_avma(GEN x, pari_sp av)
1169 : {
1170 3852982611 : long i = lgefint(x), lx = i;
1171 3852982611 : GEN y = ((GEN)av) - i;
1172 3852982611 : while (--i > 0) y[i] = x[i];
1173 3852982611 : y[0] = evaltyp(t_INT)|evallg(lx);
1174 3852753122 : return y;
1175 : }
1176 : /* copy leaf x as if we had set_avma(av) */
1177 : INLINE GEN
1178 189254875 : leafcopy_avma(GEN x, pari_sp av)
1179 : {
1180 189254875 : long i = lg(x);
1181 189254875 : GEN y = ((GEN)av) - i;
1182 189254875 : while (--i > 0) y[i] = x[i];
1183 189254875 : y[0] = x[0] & (~CLONEBIT);
1184 189254875 : return y;
1185 : }
1186 : INLINE GEN
1187 672954301 : gerepileuptoleaf(pari_sp av, GEN x)
1188 : {
1189 : long lx;
1190 : GEN q;
1191 :
1192 672954301 : if (!isonstack(x) || (GEN)av<=x) { set_avma(av); return x; }
1193 672983000 : lx = lg(x);
1194 672983000 : q = ((GEN)av) - lx;
1195 672983000 : set_avma((pari_sp)q);
1196 674502960 : while (--lx >= 0) q[lx] = x[lx];
1197 674502960 : return q;
1198 : }
1199 : INLINE GEN
1200 1314752485 : gerepileuptoint(pari_sp av, GEN x)
1201 : {
1202 1314752485 : if (!isonstack(x) || (GEN)av<=x) { set_avma(av); return x; }
1203 1160910826 : set_avma((pari_sp)icopy_avma(x, av));
1204 1163101281 : return (GEN)avma;
1205 : }
1206 : INLINE GEN
1207 831941911 : gerepileupto(pari_sp av, GEN x)
1208 : {
1209 831941911 : if (!isonstack(x) || (GEN)av<=x) { set_avma(av); return x; }
1210 740603558 : switch(typ(x))
1211 : { /* non-default = !is_recursive_t(tq) */
1212 256957291 : case t_INT: return gerepileuptoint(av, x);
1213 : case t_REAL:
1214 : case t_STR:
1215 157318823 : case t_VECSMALL: return gerepileuptoleaf(av,x);
1216 : default:
1217 : /* NB: x+i --> ((long)x) + i*sizeof(long) */
1218 326327444 : return gerepile(av, (pari_sp) (x+lg(x)), x);
1219 : }
1220 : }
1221 : INLINE double
1222 2522076 : gc_double(pari_sp av, double d) { set_avma(av); return d; }
1223 : INLINE long
1224 113104406 : gc_long(pari_sp av, long s) { set_avma(av); return s; }
1225 : INLINE ulong
1226 13848363 : gc_ulong(pari_sp av, ulong s) { set_avma(av); return s; }
1227 : INLINE int
1228 22696998 : gc_bool(pari_sp av, int s) { set_avma(av); return s; }
1229 : INLINE int
1230 3357905 : gc_int(pari_sp av, int s) { set_avma(av); return s; }
1231 : INLINE GEN
1232 1691541 : gc_NULL(pari_sp av) { set_avma(av); return NULL; }
1233 :
1234 : /* gerepileupto(av, gcopy(x)) */
1235 : INLINE GEN
1236 54617542 : gerepilecopy(pari_sp av, GEN x)
1237 : {
1238 54617542 : if (is_recursive_t(typ(x)))
1239 : {
1240 49959718 : GENbin *p = copy_bin(x);
1241 49960304 : set_avma(av); return bin_copy(p);
1242 : }
1243 : else
1244 : {
1245 4657834 : set_avma(av);
1246 4657838 : if (x < (GEN)av) {
1247 3170312 : if (x < (GEN)pari_mainstack->bot) new_chunk(lg(x));
1248 3170312 : x = leafcopy_avma(x, av);
1249 3170326 : set_avma((pari_sp)x);
1250 : } else
1251 1487526 : x = leafcopy(x);
1252 4657848 : return x;
1253 : }
1254 : }
1255 :
1256 : INLINE void
1257 28854648 : guncloneNULL(GEN x) { if (x) gunclone(x); }
1258 : INLINE void
1259 173016 : guncloneNULL_deep(GEN x) { if (x) gunclone_deep(x); }
1260 :
1261 : /* Takes an array of pointers to GENs, of length n. Copies all
1262 : * objects to contiguous locations and cleans up the stack between
1263 : * av and avma. */
1264 : INLINE void
1265 202778 : gerepilemany(pari_sp av, GEN* gptr[], int n)
1266 : {
1267 : int i;
1268 202778 : for (i=0; i<n; i++) *gptr[i] = (GEN)copy_bin(*gptr[i]);
1269 202778 : set_avma(av);
1270 202778 : for (i=0; i<n; i++) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1271 202778 : }
1272 :
1273 : INLINE void
1274 7672532 : gerepileall(pari_sp av, int n, ...)
1275 : {
1276 : int i;
1277 7672532 : va_list a; va_start(a, n);
1278 7672532 : if (n < 10)
1279 : {
1280 : GEN *gptr[10];
1281 22239084 : for (i=0; i<n; i++)
1282 14566413 : { gptr[i] = va_arg(a,GEN*); *gptr[i] = (GEN)copy_bin(*gptr[i]); }
1283 7672671 : set_avma(av);
1284 7672508 : for (--i; i>=0; i--) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1285 :
1286 : }
1287 : else
1288 : {
1289 0 : GEN **gptr = (GEN**) pari_malloc(n*sizeof(GEN*));
1290 0 : for (i=0; i<n; i++)
1291 0 : { gptr[i] = va_arg(a,GEN*); *gptr[i] = (GEN)copy_bin(*gptr[i]); }
1292 0 : set_avma(av);
1293 0 : for (--i; i>=0; i--) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1294 0 : pari_free(gptr);
1295 : }
1296 7672785 : va_end(a);
1297 7672785 : }
1298 :
1299 : INLINE void
1300 6 : gerepilecoeffs(pari_sp av, GEN x, int n)
1301 : {
1302 : int i;
1303 6 : for (i=0; i<n; i++) gel(x,i) = (GEN)copy_bin(gel(x,i));
1304 6 : set_avma(av);
1305 6 : for (i=0; i<n; i++) gel(x,i) = bin_copy((GENbin*)x[i]);
1306 6 : }
1307 :
1308 : /* p from copy_bin. Copy p->x back to stack, then destroy p */
1309 : INLINE GEN
1310 65149666 : bin_copy(GENbin *p)
1311 : {
1312 : GEN x, y, base;
1313 : long dx, len;
1314 :
1315 65149666 : x = p->x; if (!x) { pari_free(p); return gen_0; }
1316 65142442 : len = p->len;
1317 65142442 : base= p->base; dx = x - base;
1318 65142442 : y = (GEN)memcpy((void*)new_chunk(len), (void*)GENbinbase(p), len*sizeof(long));
1319 65142301 : y += dx;
1320 65142301 : p->rebase(y, ((ulong)y-(ulong)x));
1321 65142395 : pari_free(p); return y;
1322 : }
1323 :
1324 : INLINE GEN
1325 130292480 : GENbinbase(GENbin *p) { return (GEN)(p + 1); }
1326 :
1327 : INLINE void
1328 32592518 : cgiv(GEN x)
1329 : {
1330 32592518 : pari_sp av = (pari_sp)(x+lg(x));
1331 32592518 : if (isonstack((GEN)av)) set_avma(av);
1332 32592088 : }
1333 :
1334 : INLINE void
1335 1266892 : killblock(GEN x) { gunclone(x); }
1336 :
1337 : INLINE int
1338 25959194 : is_universal_constant(GEN x) { return (x >= gen_0 && x <= ghalf); }
1339 :
1340 : /*******************************************************************/
1341 : /* */
1342 : /* CONVERSION / ASSIGNMENT */
1343 : /* */
1344 : /*******************************************************************/
1345 : /* z is a type which may be a t_COMPLEX component (not a t_QUAD) */
1346 : INLINE GEN
1347 3753293 : cxcompotor(GEN z, long prec)
1348 : {
1349 3753293 : switch(typ(z))
1350 : {
1351 2118076 : case t_INT: return itor(z, prec);
1352 136668 : case t_FRAC: return fractor(z, prec);
1353 1498549 : case t_REAL: return rtor(z, prec);
1354 0 : default: pari_err_TYPE("cxcompotor",z);
1355 : return NULL; /* LCOV_EXCL_LINE */
1356 : }
1357 : }
1358 : INLINE GEN
1359 1862514 : cxtofp(GEN x, long prec)
1360 1862514 : { retmkcomplex(cxcompotor(gel(x,1),prec), cxcompotor(gel(x,2),prec)); }
1361 :
1362 : INLINE GEN
1363 291452 : cxtoreal(GEN q)
1364 291452 : { return (typ(q) == t_COMPLEX && gequal0(gel(q,2)))? gel(q,1): q; }
1365 :
1366 : INLINE double
1367 35085659 : gtodouble(GEN x)
1368 : {
1369 35085659 : if (typ(x)!=t_REAL) {
1370 7619660 : pari_sp av = avma;
1371 7619660 : x = gtofp(x, DEFAULTPREC);
1372 7619660 : if (typ(x)!=t_REAL) pari_err_TYPE("gtodouble [t_REAL expected]", x);
1373 7619660 : set_avma(av);
1374 : }
1375 35085659 : return rtodbl(x);
1376 : }
1377 : INLINE long
1378 73377918 : gtos(GEN x) {
1379 73377918 : if (typ(x) != t_INT) pari_err_TYPE("gtos [integer expected]",x);
1380 73377911 : return itos(x);
1381 : }
1382 :
1383 : INLINE ulong
1384 152654 : gtou(GEN x) {
1385 152654 : if (typ(x) != t_INT || signe(x)<0)
1386 0 : pari_err_TYPE("gtou [integer >=0 expected]",x);
1387 152671 : return itou(x);
1388 : }
1389 :
1390 : INLINE GEN
1391 23376093 : absfrac(GEN x)
1392 : {
1393 23376093 : GEN y = cgetg(3, t_FRAC);
1394 23376093 : gel(y,1) = absi(gel(x,1));
1395 23376093 : gel(y,2) = icopy(gel(x,2)); return y;
1396 : }
1397 : INLINE GEN
1398 38489 : absfrac_shallow(GEN x)
1399 38489 : { return signe(gel(x,1))>0? x: mkfrac(negi(gel(x,1)), gel(x,2)); }
1400 : INLINE GEN
1401 7848468 : Q_abs(GEN x) { return (typ(x) == t_INT)? absi(x): absfrac(x); }
1402 : INLINE GEN
1403 140544 : Q_abs_shallow(GEN x)
1404 140544 : { return (typ(x) == t_INT)? absi_shallow(x): absfrac_shallow(x); }
1405 : INLINE GEN
1406 12558 : R_abs_shallow(GEN x)
1407 12558 : { return (typ(x) == t_FRAC)? absfrac_shallow(x): mpabs_shallow(x); }
1408 : INLINE GEN
1409 0 : R_abs(GEN x)
1410 0 : { return (typ(x) == t_FRAC)? absfrac(x): mpabs(x); }
1411 :
1412 : /* Force z to be of type real/complex with floating point components */
1413 : INLINE GEN
1414 36621648 : gtofp(GEN z, long prec)
1415 : {
1416 36621648 : switch(typ(z))
1417 : {
1418 22939992 : case t_INT: return itor(z, prec);
1419 375254 : case t_FRAC: return fractor(z, prec);
1420 11679260 : case t_REAL: return rtor(z, prec);
1421 : case t_COMPLEX: {
1422 1627142 : GEN a = gel(z,1), b = gel(z,2);
1423 1627142 : if (isintzero(b)) return cxcompotor(a, prec);
1424 1624404 : if (isintzero(a)) {
1425 3277 : GEN y = cgetg(3, t_COMPLEX);
1426 3277 : b = cxcompotor(b, prec);
1427 3277 : gel(y,1) = real_0_bit(expo(b) - prec2nbits(prec));
1428 3277 : gel(y,2) = b; return y;
1429 : }
1430 1621127 : return cxtofp(z, prec);
1431 : }
1432 0 : case t_QUAD: return quadtofp(z, prec);
1433 0 : default: pari_err_TYPE("gtofp",z);
1434 : return NULL; /* LCOV_EXCL_LINE */
1435 : }
1436 : }
1437 : /* Force z to be of type real / int */
1438 : INLINE GEN
1439 22400 : gtomp(GEN z, long prec)
1440 : {
1441 22400 : switch(typ(z))
1442 : {
1443 14 : case t_INT: return z;
1444 22386 : case t_FRAC: return fractor(z, prec);
1445 0 : case t_REAL: return rtor(z, prec);
1446 0 : case t_QUAD: z = quadtofp(z, prec);
1447 0 : if (typ(z) == t_REAL) return z;
1448 0 : default: pari_err_TYPE("gtomp",z);
1449 : return NULL; /* LCOV_EXCL_LINE */
1450 : }
1451 : }
1452 :
1453 : INLINE GEN
1454 834496 : RgX_gtofp(GEN x, long prec)
1455 : {
1456 : long l;
1457 834496 : GEN y = cgetg_copy(x, &l);
1458 834496 : while (--l > 1) gel(y,l) = gtofp(gel(x,l), prec);
1459 834496 : y[1] = x[1]; return y;
1460 : }
1461 : INLINE GEN
1462 1207615 : RgC_gtofp(GEN x, long prec)
1463 1207615 : { pari_APPLY_type(t_COL, gtofp(gel(x,i), prec)) }
1464 :
1465 : INLINE GEN
1466 42 : RgV_gtofp(GEN x, long prec)
1467 42 : { pari_APPLY_type(t_VEC, gtofp(gel(x,i), prec)) }
1468 :
1469 : INLINE GEN
1470 136785 : RgM_gtofp(GEN x, long prec)
1471 136785 : { pari_APPLY_same(RgC_gtofp(gel(x,i), prec)) }
1472 :
1473 : INLINE GEN
1474 560 : RgC_gtomp(GEN x, long prec)
1475 560 : { pari_APPLY_type(t_COL, gtomp(gel(x,i), prec)) }
1476 :
1477 : INLINE GEN
1478 14 : RgM_gtomp(GEN x, long prec)
1479 14 : { pari_APPLY_same(RgC_gtomp(gel(x,i), prec)) }
1480 :
1481 : INLINE GEN
1482 9969 : RgX_fpnorml2(GEN x, long prec)
1483 : {
1484 9969 : pari_sp av = avma;
1485 9969 : return gerepileupto(av, gnorml2(RgX_gtofp(x, prec)));
1486 : }
1487 : INLINE GEN
1488 189700 : RgC_fpnorml2(GEN x, long prec)
1489 : {
1490 189700 : pari_sp av = avma;
1491 189700 : return gerepileupto(av, gnorml2(RgC_gtofp(x, prec)));
1492 : }
1493 : INLINE GEN
1494 4119 : RgM_fpnorml2(GEN x, long prec)
1495 : {
1496 4119 : pari_sp av = avma;
1497 4119 : return gerepileupto(av, gnorml2(RgM_gtofp(x, prec)));
1498 : }
1499 :
1500 : /* y a t_REAL */
1501 : INLINE void
1502 216244 : affgr(GEN x, GEN y)
1503 : {
1504 : pari_sp av;
1505 216244 : switch(typ(x)) {
1506 5992 : case t_INT: affir(x,y); break;
1507 210252 : case t_REAL: affrr(x,y); break;
1508 0 : case t_FRAC: rdiviiz(gel(x,1),gel(x,2), y); break;
1509 0 : case t_QUAD: av = avma; affgr(quadtofp(x,realprec(y)), y); set_avma(av); break;
1510 0 : default: pari_err_TYPE2("=",x,y);
1511 : }
1512 216244 : }
1513 :
1514 : INLINE GEN
1515 261223 : affc_fixlg(GEN x, GEN res)
1516 : {
1517 261223 : if (typ(x) == t_COMPLEX)
1518 : {
1519 207529 : affrr_fixlg(gel(x,1), gel(res,1));
1520 207529 : affrr_fixlg(gel(x,2), gel(res,2));
1521 : }
1522 : else
1523 : {
1524 53694 : set_avma((pari_sp)(res+3));
1525 53694 : res = cgetr(realprec(gel(res,1)));
1526 53694 : affrr_fixlg(x, res);
1527 : }
1528 261223 : return res;
1529 : }
1530 :
1531 : INLINE GEN
1532 0 : trunc_safe(GEN x) { long e; return gcvtoi(x,&e); }
1533 :
1534 : /*******************************************************************/
1535 : /* */
1536 : /* LENGTH CONVERSIONS */
1537 : /* */
1538 : /*******************************************************************/
1539 : INLINE long
1540 32616 : ndec2nlong(long x) { return 1 + (long)((x)*(LOG2_10/BITS_IN_LONG)); }
1541 : INLINE long
1542 24130 : ndec2prec(long x) { return 2 + ndec2nlong(x); }
1543 : INLINE long
1544 8486 : ndec2nbits(long x) { return ndec2nlong(x) << TWOPOTBITS_IN_LONG; }
1545 : /* Fast implementation of ceil(x / (8*sizeof(long))); typecast to (ulong)
1546 : * to avoid overflow. Faster than 1 + ((x-1)>>TWOPOTBITS_IN_LONG)) :
1547 : * addl, shrl instead of subl, sarl, addl */
1548 : INLINE long
1549 1241404 : nbits2nlong(long x) {
1550 1241404 : return (long)(((ulong)x+BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1551 : }
1552 :
1553 : INLINE long
1554 321966344 : nbits2extraprec(long x) {
1555 321966344 : return (long)(((ulong)x+BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1556 : }
1557 :
1558 : /* Fast implementation of 2 + nbits2nlong(x) */
1559 : INLINE long
1560 112629618 : nbits2prec(long x) {
1561 112629618 : return (long)(((ulong)x+3*BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1562 : }
1563 : INLINE long
1564 20966740 : nbits2lg(long x) {
1565 20966740 : return (long)(((ulong)x+3*BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1566 : }
1567 : /* ceil(x / sizeof(long)) */
1568 : INLINE long
1569 9817075 : nchar2nlong(long x) {
1570 9817075 : return (long)(((ulong)x+sizeof(long)-1) >> (TWOPOTBITS_IN_LONG-3L));
1571 : }
1572 : INLINE long
1573 1178569768 : prec2nbits(long x) { return (x-2) * BITS_IN_LONG; }
1574 : INLINE double
1575 520489 : bit_accuracy_mul(long x, double y) { return (x-2) * (BITS_IN_LONG*y); }
1576 : INLINE double
1577 287281 : prec2nbits_mul(long x, double y) { return (x-2) * (BITS_IN_LONG*y); }
1578 : INLINE long
1579 34083701 : bit_prec(GEN x) { return prec2nbits(realprec(x)); }
1580 : INLINE long
1581 1061458812 : bit_accuracy(long x) { return prec2nbits(x); }
1582 : INLINE long
1583 12462 : prec2ndec(long x) { return (long)prec2nbits_mul(x, LOG10_2); }
1584 : INLINE long
1585 200 : nbits2ndec(long x) { return (long)(x * LOG10_2); }
1586 : INLINE long
1587 3275 : precdbl(long x) {return (x - 1) << 1;}
1588 : INLINE long
1589 3603152705 : divsBIL(long n) { return n >> TWOPOTBITS_IN_LONG; }
1590 : INLINE long
1591 3553749832 : remsBIL(long n) { return n & (BITS_IN_LONG-1); }
1592 :
1593 : /*********************************************************************/
1594 : /** **/
1595 : /** OPERATIONS MODULO m **/
1596 : /** **/
1597 : /*********************************************************************/
1598 : /* Assume m > 0, more efficient if 0 <= a, b < m */
1599 :
1600 : INLINE GEN
1601 35079064 : Fp_red(GEN a, GEN m) { return modii(a, m); }
1602 : INLINE GEN
1603 75344226 : Fp_add(GEN a, GEN b, GEN m)
1604 : {
1605 75344226 : pari_sp av=avma;
1606 75344226 : GEN p = addii(a,b);
1607 73931257 : long s = signe(p);
1608 73931257 : if (!s) return p; /* = gen_0 */
1609 66141886 : if (s > 0) /* general case */
1610 : {
1611 65915481 : GEN t = subii(p, m);
1612 66897528 : s = signe(t);
1613 66897528 : if (!s) { set_avma(av); return gen_0; }
1614 61050645 : if (s < 0) { set_avma((pari_sp)p); return p; }
1615 26019764 : if (cmpii(t, m) < 0) return gerepileuptoint(av, t); /* general case ! */
1616 1112607 : p = remii(t, m);
1617 : }
1618 : else
1619 226405 : p = modii(p, m);
1620 1339012 : return gerepileuptoint(av, p);
1621 : }
1622 : INLINE GEN
1623 57322706 : Fp_sub(GEN a, GEN b, GEN m)
1624 : {
1625 57322706 : pari_sp av=avma;
1626 57322706 : GEN p = subii(a,b);
1627 56799546 : long s = signe(p);
1628 56799546 : if (!s) return p; /* = gen_0 */
1629 50546394 : if (s > 0)
1630 : {
1631 24427414 : if (cmpii(p, m) < 0) return p; /* general case ! */
1632 1128563 : p = remii(p, m);
1633 : }
1634 : else
1635 : {
1636 26118980 : GEN t = addii(p, m);
1637 26066039 : if (!s) { set_avma(av); return gen_0; }
1638 26066039 : if (s > 0) return gerepileuptoint(av, t); /* general case ! */
1639 26066039 : p = modii(t, m);
1640 : }
1641 27731581 : return gerepileuptoint(av, p);
1642 : }
1643 : INLINE GEN
1644 13587578 : Fp_neg(GEN b, GEN m)
1645 : {
1646 13587578 : pari_sp av = avma;
1647 13587578 : long s = signe(b);
1648 : GEN p;
1649 13587578 : if (!s) return gen_0;
1650 10093966 : if (s > 0)
1651 : {
1652 9866231 : p = subii(m, b);
1653 9864074 : if (signe(p) >= 0) return p; /* general case ! */
1654 104389 : p = modii(p, m);
1655 : } else
1656 227735 : p = remii(negi(b), m);
1657 332124 : return gerepileuptoint(av, p);
1658 : }
1659 :
1660 : INLINE GEN
1661 23613 : Fp_halve(GEN a, GEN p)
1662 : {
1663 23613 : if (mpodd(a)) a = addii(a,p);
1664 23613 : return shifti(a,-1);
1665 : }
1666 :
1667 : /* assume 0 <= u < p and ps2 = p>>1 */
1668 : INLINE GEN
1669 16833064 : Fp_center(GEN u, GEN p, GEN ps2)
1670 16833064 : { return abscmpii(u,ps2)<=0? icopy(u): subii(u,p); }
1671 : /* same without copy */
1672 : INLINE GEN
1673 15770397 : Fp_center_i(GEN u, GEN p, GEN ps2)
1674 15770397 : { return abscmpii(u,ps2)<=0? u: subii(u,p); }
1675 :
1676 : /* x + y*z mod p */
1677 : INLINE GEN
1678 5190908 : Fp_addmul(GEN x, GEN y, GEN z, GEN p)
1679 : {
1680 : pari_sp av;
1681 5190908 : if (!signe(y) || !signe(z)) return Fp_red(x, p);
1682 4892774 : if (!signe(x)) return Fp_mul(z,y, p);
1683 4587666 : av = avma;
1684 4587666 : return gerepileuptoint(av, modii(addii(x, mulii(y,z)), p));
1685 : }
1686 :
1687 : INLINE GEN
1688 93678541 : Fp_mul(GEN a, GEN b, GEN m)
1689 : {
1690 93678541 : pari_sp av=avma;
1691 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1692 93678541 : (void)new_chunk(lg(a)+lg(b)+(lg(m)<<1));
1693 93686730 : p = mulii(a,b);
1694 93822742 : set_avma(av); return modii(p,m);
1695 : }
1696 : INLINE GEN
1697 34455492 : Fp_sqr(GEN a, GEN m)
1698 : {
1699 34455492 : pari_sp av=avma;
1700 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1701 34455492 : (void)new_chunk((lg(a)+lg(m))<<1);
1702 34361794 : p = sqri(a);
1703 31371132 : set_avma(av); return remii(p,m); /*Use remii: p >= 0 */
1704 : }
1705 : INLINE GEN
1706 67820127 : Fp_mulu(GEN a, ulong b, GEN m)
1707 : {
1708 67820127 : long l = lgefint(m);
1709 67820127 : if (l == 3)
1710 : {
1711 41437998 : ulong mm = m[2];
1712 41437998 : return utoi( Fl_mul(umodiu(a, mm), b, mm) );
1713 : } else {
1714 26382129 : pari_sp av = avma;
1715 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1716 26382129 : (void)new_chunk(lg(a)+1+(l<<1));
1717 26342459 : p = muliu(a,b);
1718 24655847 : set_avma(av); return modii(p,m);
1719 : }
1720 : }
1721 : INLINE GEN
1722 0 : Fp_muls(GEN a, long b, GEN m)
1723 : {
1724 0 : long l = lgefint(m);
1725 0 : if (l == 3)
1726 : {
1727 0 : ulong mm = m[2];
1728 0 : if (b < 0)
1729 : {
1730 0 : ulong t = Fl_mul(umodiu(a, mm), -b, mm);
1731 0 : return t? utoipos(mm - t): gen_0;
1732 : }
1733 : else
1734 0 : return utoi( Fl_mul(umodiu(a, mm), b, mm) );
1735 : } else {
1736 0 : pari_sp av = avma;
1737 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1738 0 : (void)new_chunk(lg(a)+1+(l<<1));
1739 0 : p = mulis(a,b);
1740 0 : set_avma(av); return modii(p,m);
1741 : }
1742 : }
1743 :
1744 : INLINE GEN
1745 9902843 : Fp_inv(GEN a, GEN m)
1746 : {
1747 : GEN res;
1748 9902843 : if (! invmod(a,m,&res)) pari_err_INV("Fp_inv", mkintmod(res,m));
1749 9902496 : return res;
1750 : }
1751 : INLINE GEN
1752 324886 : Fp_invsafe(GEN a, GEN m)
1753 : {
1754 : GEN res;
1755 324886 : if (! invmod(a,m,&res)) return NULL;
1756 324886 : return res;
1757 : }
1758 : INLINE GEN
1759 1656441 : Fp_div(GEN a, GEN b, GEN m)
1760 : {
1761 1656441 : pari_sp av = avma;
1762 : GEN p;
1763 1656441 : if (lgefint(b) == 3)
1764 : {
1765 669107 : a = Fp_divu(a, b[2], m);
1766 669107 : if (signe(b) < 0) a = Fp_neg(a, m);
1767 669107 : return a;
1768 : }
1769 : /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1770 987334 : (void)new_chunk(lg(a)+(lg(m)<<1));
1771 987334 : p = mulii(a, Fp_inv(b,m));
1772 987334 : set_avma(av); return modii(p,m);
1773 : }
1774 : INLINE GEN
1775 1402582 : Fp_divu(GEN x, ulong a, GEN p)
1776 : {
1777 1402582 : pari_sp av = avma;
1778 : ulong b;
1779 1402582 : if (lgefint(p) == 3)
1780 : {
1781 985109 : ulong pp = p[2], xp = umodiu(x, pp);
1782 985109 : return xp? utoipos(Fl_div(xp, a % pp, pp)): gen_0;
1783 : }
1784 417473 : x = Fp_red(x, p);
1785 417472 : b = Fl_neg(Fl_div(umodiu(x,a), umodiu(p,a), a), a); /* x + pb = 0 (mod a) */
1786 417476 : return gerepileuptoint(av, diviuexact(addmuliu(x, p, b), a));
1787 : }
1788 :
1789 : INLINE GEN
1790 847844 : Flx_mulu(GEN x, ulong a, ulong p) { return Flx_Fl_mul(x,a%p,p); }
1791 :
1792 : INLINE GEN
1793 0 : get_F2x_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1794 :
1795 : INLINE long
1796 449777 : get_F2x_var(GEN T) { return typ(T)==t_VEC? mael(T,2,1): T[1]; }
1797 :
1798 : INLINE long
1799 275803 : get_F2x_degree(GEN T) { return typ(T)==t_VEC? F2x_degree(gel(T,2)): F2x_degree(T); }
1800 :
1801 : INLINE GEN
1802 399 : get_F2xqX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1803 :
1804 : INLINE long
1805 377013 : get_F2xqX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1806 :
1807 : INLINE long
1808 201929 : get_F2xqX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1809 :
1810 : INLINE GEN
1811 7520653 : get_Flx_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1812 :
1813 : INLINE long
1814 19647460 : get_Flx_var(GEN T) { return typ(T)==t_VEC? mael(T,2,1): T[1]; }
1815 :
1816 : INLINE long
1817 38329321 : get_Flx_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1818 :
1819 : INLINE GEN
1820 2482 : get_FlxqX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1821 :
1822 : INLINE long
1823 221973 : get_FlxqX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1824 :
1825 : INLINE long
1826 277751 : get_FlxqX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1827 :
1828 : INLINE GEN
1829 1639803 : get_FpX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1830 :
1831 : INLINE long
1832 3947806 : get_FpX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1833 :
1834 : INLINE long
1835 2897410 : get_FpX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1836 :
1837 : INLINE GEN
1838 142586 : get_FpXQX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1839 :
1840 : INLINE long
1841 57357 : get_FpXQX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1842 :
1843 : INLINE long
1844 2187 : get_FpXQX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1845 :
1846 : /*******************************************************************/
1847 : /* */
1848 : /* ADDMULII / SUBMULII */
1849 : /* */
1850 : /*******************************************************************/
1851 : /* x - y*z */
1852 : INLINE GEN
1853 337576 : submulii(GEN x, GEN y, GEN z)
1854 : {
1855 337576 : long lx = lgefint(x), ly, lz;
1856 : pari_sp av;
1857 : GEN t;
1858 337576 : if (lx == 2) { t = mulii(z,y); togglesign(t); return t; }
1859 294404 : ly = lgefint(y);
1860 294404 : if (ly == 2) return icopy(x);
1861 247184 : lz = lgefint(z);
1862 247184 : av = avma; (void)new_chunk(lx+ly+lz); /* HACK */
1863 247184 : t = mulii(z, y);
1864 247184 : set_avma(av); return subii(x,t);
1865 : }
1866 : /* y*z - x */
1867 : INLINE GEN
1868 1291805 : mulsubii(GEN y, GEN z, GEN x)
1869 : {
1870 1291805 : long lx = lgefint(x), ly, lz;
1871 : pari_sp av;
1872 : GEN t;
1873 1291805 : if (lx == 2) return mulii(z,y);
1874 824377 : ly = lgefint(y);
1875 824377 : if (ly == 2) return negi(x);
1876 756476 : lz = lgefint(z);
1877 756476 : av = avma; (void)new_chunk(lx+ly+lz); /* HACK */
1878 756476 : t = mulii(z, y);
1879 756476 : set_avma(av); return subii(t,x);
1880 : }
1881 :
1882 : /* x - u*y */
1883 : INLINE GEN
1884 7595 : submuliu(GEN x, GEN y, ulong u)
1885 : {
1886 : pari_sp av;
1887 7595 : long ly = lgefint(y);
1888 7595 : if (ly == 2) return icopy(x);
1889 7595 : av = avma;
1890 7595 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1891 7595 : y = mului(u,y);
1892 7595 : set_avma(av); return subii(x, y);
1893 : }
1894 : /* x + u*y */
1895 : INLINE GEN
1896 425071 : addmuliu(GEN x, GEN y, ulong u)
1897 : {
1898 : pari_sp av;
1899 425071 : long ly = lgefint(y);
1900 425071 : if (ly == 2) return icopy(x);
1901 425071 : av = avma;
1902 425071 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1903 425071 : y = mului(u,y);
1904 425068 : set_avma(av); return addii(x, y);
1905 : }
1906 : /* x - u*y */
1907 : INLINE GEN
1908 125088546 : submuliu_inplace(GEN x, GEN y, ulong u)
1909 : {
1910 : pari_sp av;
1911 125088546 : long ly = lgefint(y);
1912 125088546 : if (ly == 2) return x;
1913 100120721 : av = avma;
1914 100120721 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1915 100120721 : y = mului(u,y);
1916 100120721 : set_avma(av); return subii(x, y);
1917 : }
1918 : /* x + u*y */
1919 : INLINE GEN
1920 123472212 : addmuliu_inplace(GEN x, GEN y, ulong u)
1921 : {
1922 : pari_sp av;
1923 123472212 : long ly = lgefint(y);
1924 123472212 : if (ly == 2) return x;
1925 99947877 : av = avma;
1926 99947877 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1927 99947877 : y = mului(u,y);
1928 99947877 : set_avma(av); return addii(x, y);
1929 : }
1930 : /* ux + vy */
1931 : INLINE GEN
1932 21407847 : lincombii(GEN u, GEN v, GEN x, GEN y)
1933 : {
1934 21407847 : long lx = lgefint(x), ly;
1935 : GEN p1, p2;
1936 : pari_sp av;
1937 21407847 : if (lx == 2) return mulii(v,y);
1938 15106298 : ly = lgefint(y);
1939 15106298 : if (ly == 2) return mulii(u,x);
1940 13836185 : av = avma; (void)new_chunk(lx+ly+lgefint(u)+lgefint(v)); /* HACK */
1941 13836198 : p1 = mulii(u,x);
1942 13836046 : p2 = mulii(v,y);
1943 13836044 : set_avma(av); return addii(p1,p2);
1944 : }
1945 :
1946 : /*******************************************************************/
1947 : /* */
1948 : /* GEN SUBTYPES */
1949 : /* */
1950 : /*******************************************************************/
1951 :
1952 : INLINE int
1953 1326391167 : is_const_t(long t) { return (t < t_POLMOD); }
1954 : INLINE int
1955 5479 : is_extscalar_t(long t) { return (t <= t_POL); }
1956 : INLINE int
1957 1262958 : is_intreal_t(long t) { return (t <= t_REAL); }
1958 : INLINE int
1959 418650074 : is_matvec_t(long t) { return (t >= t_VEC && t <= t_MAT); }
1960 : INLINE int
1961 60500859 : is_noncalc_t(long tx) { return (tx) >= t_LIST; }
1962 : INLINE int
1963 1304543 : is_rational_t(long t) { return (t == t_INT || t == t_FRAC); }
1964 : INLINE int
1965 522195 : is_real_t(long t) { return (t == t_INT || t == t_REAL || t == t_FRAC); }
1966 : INLINE int
1967 3142369574 : is_recursive_t(long t) { return lontyp[t]; }
1968 : INLINE int
1969 173427884 : is_scalar_t(long t) { return (t < t_POL); }
1970 : INLINE int
1971 1518895 : is_vec_t(long t) { return (t == t_VEC || t == t_COL); }
1972 :
1973 : /*******************************************************************/
1974 : /* */
1975 : /* TRANSCENDENTAL */
1976 : /* */
1977 : /*******************************************************************/
1978 : INLINE GEN
1979 22907928 : sqrtr(GEN x) {
1980 22907928 : long s = signe(x);
1981 22907928 : if (s == 0) return real_0_bit(expo(x) >> 1);
1982 22874253 : if (s >= 0) return sqrtr_abs(x);
1983 37408 : retmkcomplex(gen_0, sqrtr_abs(x));
1984 : }
1985 : INLINE GEN
1986 0 : cbrtr_abs(GEN x) { return sqrtnr_abs(x, 3); }
1987 : INLINE GEN
1988 0 : cbrtr(GEN x) {
1989 0 : long s = signe(x);
1990 : GEN r;
1991 0 : if (s == 0) return real_0_bit(expo(x) / 3);
1992 0 : r = cbrtr_abs(x);
1993 0 : if (s < 0) togglesign(r);
1994 0 : return r;
1995 : }
1996 : INLINE GEN
1997 466159 : sqrtnr(GEN x, long n) {
1998 466159 : long s = signe(x);
1999 : GEN r;
2000 466159 : if (s == 0) return real_0_bit(expo(x) / n);
2001 466159 : r = sqrtnr_abs(x, n);
2002 466159 : if (s < 0) pari_err_IMPL("sqrtnr for x < 0");
2003 466159 : return r;
2004 : }
2005 : INLINE long
2006 222824 : logint(GEN B, GEN y) { return logintall(B,y,NULL); }
2007 : INLINE ulong
2008 2002086 : ulogint(ulong B, ulong y)
2009 : {
2010 : ulong r;
2011 : long e;
2012 2002086 : if (y == 2) return expu(B);
2013 1983942 : r = y;
2014 6404018 : for (e=1;; e++)
2015 : { /* here, r = y^e, r2 = y^(e-1) */
2016 10824094 : if (r >= B) return r == B? e: e-1;
2017 4420070 : r = umuluu_or_0(y, r);
2018 4420076 : if (!r) return e;
2019 : }
2020 : }
2021 :
2022 : /*******************************************************************/
2023 : /* */
2024 : /* MISCELLANEOUS */
2025 : /* */
2026 : /*******************************************************************/
2027 1262881 : INLINE int ismpzero(GEN x) { return is_intreal_t(typ(x)) && !signe(x); }
2028 738711489 : INLINE int isintzero(GEN x) { return typ(x) == t_INT && !signe(x); }
2029 5748901 : INLINE int isint1(GEN x) { return typ(x)==t_INT && equali1(x); }
2030 4704 : INLINE int isintm1(GEN x){ return typ(x)==t_INT && equalim1(x);}
2031 702563895 : INLINE int equali1(GEN n)
2032 702563895 : { return (ulong) n[1] == (evallgefint(3UL) | evalsigne(1)) && n[2] == 1; }
2033 61456169 : INLINE int equalim1(GEN n)
2034 61456169 : { return (ulong) n[1] == (evallgefint(3UL) | evalsigne(-1)) && n[2] == 1; }
2035 : /* works only for POSITIVE integers */
2036 1063663275 : INLINE int is_pm1(GEN n)
2037 1063663275 : { return lgefint(n) == 3 && n[2] == 1; }
2038 243774491 : INLINE int is_bigint(GEN n)
2039 243774491 : { long l = lgefint(n); return l > 3 || (l == 3 && (n[2] & HIGHBIT)); }
2040 :
2041 2071573280 : INLINE int odd(long x) { return x & 1; }
2042 29071582 : INLINE int both_odd(long x, long y) { return x & y & 1; }
2043 :
2044 : INLINE int
2045 2851923241 : isonstack(GEN x)
2046 2851923241 : { return ((pari_sp)x >= pari_mainstack->bot
2047 2851923241 : && (pari_sp)x < pari_mainstack->top); }
2048 :
2049 : /* assume x != 0 and x t_REAL, return an approximation to log2(|x|) */
2050 : INLINE double
2051 23887380 : dbllog2r(GEN x)
2052 23887380 : { return log2((double)(ulong)x[2]) + (double)(expo(x) - (BITS_IN_LONG-1)); }
2053 :
2054 : INLINE GEN
2055 400994 : mul_content(GEN cx, GEN cy)
2056 : {
2057 400994 : if (!cx) return cy;
2058 146396 : if (!cy) return cx;
2059 102369 : return gmul(cx,cy);
2060 : }
2061 : INLINE GEN
2062 11719 : inv_content(GEN c) { return c? ginv(c): NULL; }
2063 : INLINE GEN
2064 1817125 : mul_denom(GEN dx, GEN dy)
2065 : {
2066 1817125 : if (!dx) return dy;
2067 1215361 : if (!dy) return dx;
2068 382282 : return mulii(dx,dy);
2069 : }
2070 :
2071 : /* POLYNOMIALS */
2072 : INLINE GEN
2073 17949162 : constant_coeff(GEN x) { return signe(x)? gel(x,2): gen_0; }
2074 : INLINE GEN
2075 95504220 : leading_coeff(GEN x) { return lg(x) == 2? gen_0: gel(x,lg(x)-1); }
2076 : INLINE ulong
2077 480973 : Flx_lead(GEN x) { return lg(x) == 2? 0: x[lg(x)-1]; }
2078 : INLINE ulong
2079 12293 : Flx_constant(GEN x) { return lg(x) == 2? 0: x[2]; }
2080 : INLINE long
2081 2934638911 : degpol(GEN x) { return lg(x)-3; }
2082 : INLINE long
2083 1443053967 : lgpol(GEN x) { return lg(x)-2; }
2084 : INLINE long
2085 127404051 : lgcols(GEN x) { return lg(gel(x,1)); }
2086 : INLINE long
2087 36386868 : nbrows(GEN x) { return lg(gel(x,1))-1; }
2088 : INLINE GEN
2089 0 : truecoef(GEN x, long n) { return polcoef(x,n,-1); }
2090 :
2091 : INLINE GEN
2092 574081 : ZXQ_mul(GEN y, GEN x, GEN T) { return ZX_rem(ZX_mul(y, x), T); }
2093 : INLINE GEN
2094 286263 : ZXQ_sqr(GEN x, GEN T) { return ZX_rem(ZX_sqr(x), T); }
2095 :
2096 : INLINE GEN
2097 81548240 : RgX_copy(GEN x)
2098 : {
2099 : long lx, i;
2100 81548240 : GEN y = cgetg_copy(x, &lx); y[1] = x[1];
2101 81548241 : for (i = 2; i<lx; i++) gel(y,i) = gcopy(gel(x,i));
2102 81548240 : return y;
2103 : }
2104 : /* have to use ulong to avoid silly warnings from gcc "assuming signed
2105 : * overflow does not occur" */
2106 : INLINE GEN
2107 2991297 : RgX_coeff(GEN x, long n)
2108 : {
2109 2991297 : ulong l = lg(x);
2110 2991297 : return (n < 0 || ((ulong)n+3) > l)? gen_0: gel(x,n+2);
2111 : }
2112 : INLINE GEN
2113 368623 : RgX_renormalize(GEN x) { return RgX_renormalize_lg(x, lg(x)); }
2114 : INLINE GEN
2115 6808601 : RgX_div(GEN x, GEN y) { return RgX_divrem(x,y,NULL); }
2116 : INLINE GEN
2117 1792 : RgXQX_div(GEN x, GEN y, GEN T) { return RgXQX_divrem(x,y,T,NULL); }
2118 : INLINE GEN
2119 69642 : RgXQX_rem(GEN x, GEN y, GEN T) { return RgXQX_divrem(x,y,T,ONLY_REM); }
2120 : INLINE GEN
2121 1034188 : FpX_div(GEN x, GEN y, GEN p) { return FpX_divrem(x,y,p, NULL); }
2122 : INLINE GEN
2123 4930458 : Flx_div(GEN x, GEN y, ulong p) { return Flx_divrem(x,y,p, NULL); }
2124 : INLINE GEN
2125 2598874 : F2x_div(GEN x, GEN y) { return F2x_divrem(x,y, NULL); }
2126 : INLINE GEN
2127 0 : FpV_FpC_mul(GEN x, GEN y, GEN p) { return FpV_dotproduct(x,y,p); }
2128 : INLINE GEN
2129 56246462 : pol0_Flx(long sv) { return mkvecsmall(sv); }
2130 : INLINE GEN
2131 15559148 : pol1_Flx(long sv) { return mkvecsmall2(sv, 1); }
2132 : INLINE GEN
2133 18102898 : polx_Flx(long sv) { return mkvecsmall3(sv, 0, 1); }
2134 : INLINE GEN
2135 0 : zero_zx(long sv) { return zero_Flx(sv); }
2136 : INLINE GEN
2137 0 : polx_zx(long sv) { return polx_Flx(sv); }
2138 : INLINE GEN
2139 0 : zx_shift(GEN x, long n) { return Flx_shift(x,n); }
2140 : INLINE GEN
2141 0 : zx_renormalize(GEN x, long l) { return Flx_renormalize(x,l); }
2142 : INLINE GEN
2143 1341 : zero_F2x(long sv) { return zero_Flx(sv); }
2144 : INLINE GEN
2145 11198336 : pol0_F2x(long sv) { return pol0_Flx(sv); }
2146 : INLINE GEN
2147 2887368 : pol1_F2x(long sv) { return pol1_Flx(sv); }
2148 : INLINE GEN
2149 691492 : polx_F2x(long sv) { return mkvecsmall2(sv, 2); }
2150 : INLINE int
2151 844041 : F2x_equal1(GEN x) { return Flx_equal1(x); }
2152 : INLINE int
2153 3122990 : F2x_equal(GEN V, GEN W) { return Flx_equal(V,W); }
2154 : INLINE GEN
2155 59787784 : F2x_copy(GEN x) { return leafcopy(x); }
2156 : INLINE GEN
2157 0 : F2v_copy(GEN x) { return leafcopy(x); }
2158 : INLINE GEN
2159 2276320 : Flv_copy(GEN x) { return leafcopy(x); }
2160 : INLINE GEN
2161 87232475 : Flx_copy(GEN x) { return leafcopy(x); }
2162 : INLINE GEN
2163 1913431 : vecsmall_copy(GEN x) { return leafcopy(x); }
2164 : INLINE int
2165 4924050 : Flx_equal1(GEN x) { return degpol(x)==0 && x[2] == 1; }
2166 : INLINE int
2167 18261 : ZX_equal1(GEN x) { return degpol(x)==0 && equali1(gel(x,2)); }
2168 : INLINE int
2169 5544304 : ZX_is_monic(GEN x) { return equali1(leading_coeff(x)); }
2170 :
2171 : INLINE GEN
2172 52568902 : ZX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2173 : INLINE GEN
2174 73896854 : FpX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2175 : INLINE GEN
2176 772616 : FpXX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2177 : INLINE GEN
2178 1251699 : FpXQX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2179 : INLINE GEN
2180 111980625 : F2x_renormalize(GEN x, long lx) { return Flx_renormalize(x,lx); }
2181 : INLINE GEN
2182 32367 : F2v_to_F2x(GEN x, long sv) {
2183 32367 : GEN y = leafcopy(x);
2184 32367 : y[1] = sv; F2x_renormalize(y, lg(y)); return y;
2185 : }
2186 :
2187 : INLINE long
2188 0 : sturm(GEN x) { return sturmpart(x, NULL, NULL); }
2189 :
2190 : INLINE long
2191 7168 : gval(GEN x, long v) {
2192 7168 : pari_sp av = avma;
2193 7168 : long n = gvaluation(x, pol_x(v));
2194 7168 : set_avma(av); return n;
2195 : }
2196 :
2197 : INLINE void
2198 471230 : RgX_shift_inplace_init(long v)
2199 471230 : { if (v) (void)cgetg(v, t_VECSMALL); }
2200 : /* shift polynomial in place. assume v free cells have been left before x */
2201 : INLINE GEN
2202 471230 : RgX_shift_inplace(GEN x, long v)
2203 : {
2204 : long i, lx;
2205 : GEN y, z;
2206 471230 : if (!v) return x;
2207 253227 : lx = lg(x);
2208 253227 : if (lx == 2) return x;
2209 253227 : y = x + v;
2210 253227 : z = x + lx;
2211 : /* stackdummy from normalizepol: move it up */
2212 253227 : if (lg(z) != v) x[lx + v] = z[0];
2213 253227 : for (i = lx-1; i >= 2; i--) gel(y,i) = gel(x,i);
2214 253227 : for (i = v+1; i >= 2; i--) gel(x,i) = gen_0;
2215 : /* leave x[1] alone: it is correct */
2216 253227 : x[0] = evaltyp(t_POL) | evallg(lx+v); return x;
2217 : }
2218 :
2219 :
2220 : /* LINEAR ALGEBRA */
2221 : INLINE GEN
2222 132659 : zv_to_ZV(GEN x) { return vecsmall_to_vec(x); }
2223 : INLINE GEN
2224 5233615 : zc_to_ZC(GEN x) { return vecsmall_to_col(x); }
2225 : INLINE GEN
2226 3300645 : ZV_to_zv(GEN x) { return vec_to_vecsmall(x); }
2227 : INLINE GEN
2228 0 : zx_to_zv(GEN x, long N) { return Flx_to_Flv(x,N); }
2229 : INLINE GEN
2230 0 : zv_to_zx(GEN x, long sv) { return Flv_to_Flx(x,sv); }
2231 : INLINE GEN
2232 0 : zm_to_zxV(GEN x, long sv) { return Flm_to_FlxV(x,sv); }
2233 : INLINE GEN
2234 0 : zero_zm(long x, long y) { return zero_Flm(x,y); }
2235 : INLINE GEN
2236 17664745 : zero_zv(long x) { return zero_Flv(x); }
2237 : INLINE GEN
2238 238 : zm_transpose(GEN x) { return Flm_transpose(x); }
2239 : INLINE GEN
2240 0 : zm_copy(GEN x) { return Flm_copy(x); }
2241 : INLINE GEN
2242 1903493 : zv_copy(GEN x) { return Flv_copy(x); }
2243 : INLINE GEN
2244 0 : zm_row(GEN x, long i) { return Flm_row(x,i); }
2245 :
2246 : INLINE GEN
2247 948749 : ZC_hnfrem(GEN x, GEN y) { return ZC_hnfremdiv(x,y,NULL); }
2248 : INLINE GEN
2249 50392 : ZM_hnfrem(GEN x, GEN y) { return ZM_hnfdivrem(x,y,NULL); }
2250 : INLINE GEN
2251 2505665 : ZM_lll(GEN x, double D, long f) { return ZM_lll_norms(x,D,f,NULL); }
2252 : INLINE void
2253 5677201 : RgM_dimensions(GEN x, long *m, long *n) { *n = lg(x)-1; *m = *n? nbrows(x): 0; }
2254 : INLINE GEN
2255 10681313 : RgM_shallowcopy(GEN x)
2256 : {
2257 : long l;
2258 10681313 : GEN y = cgetg_copy(x, &l);
2259 10681304 : while (--l > 0) gel(y,l) = leafcopy(gel(x,l));
2260 10681321 : return y;
2261 : }
2262 : INLINE GEN
2263 18981 : F2m_copy(GEN x) { return RgM_shallowcopy(x); }
2264 :
2265 : INLINE GEN
2266 1492753 : Flm_copy(GEN x) { return RgM_shallowcopy(x); }
2267 :
2268 : /* divisibility: return 1 if y[i] | x[i] for all i, 0 otherwise. Assume
2269 : * x,y are ZV of the same length */
2270 : INLINE int
2271 23198 : ZV_dvd(GEN x, GEN y)
2272 : {
2273 23198 : long i, l = lg(x);
2274 36652 : for (i=1; i < l; i++)
2275 29519 : if ( ! dvdii( gel(x,i), gel(y,i) ) ) return 0;
2276 7133 : return 1;
2277 : }
2278 :
2279 : /* Fq */
2280 : INLINE GEN
2281 2503224 : Fq_red(GEN x, GEN T, GEN p)
2282 2503224 : { return typ(x)==t_INT? Fp_red(x,p): FpXQ_red(x,T,p); }
2283 : INLINE GEN
2284 99427 : Fq_to_FpXQ(GEN x, GEN T, GEN p /*unused*/)
2285 : {
2286 : (void) p;
2287 99427 : return typ(x)==t_INT ? scalarpol(x, get_FpX_var(T)): x;
2288 : }
2289 : INLINE GEN
2290 756 : Rg_to_Fq(GEN x, GEN T, GEN p) { return T? Rg_to_FpXQ(x,T,p): Rg_to_Fp(x,p); }
2291 :
2292 : INLINE GEN
2293 2289 : gener_Fq_local(GEN T, GEN p, GEN L)
2294 : { return T? gener_FpXQ_local(T,p, L)
2295 2289 : : pgener_Fp_local(p, L); }
2296 :
2297 : /* FpXQX */
2298 : INLINE GEN
2299 4347 : FpXQX_div(GEN x, GEN y, GEN T, GEN p) { return FpXQX_divrem(x, y, T, p, NULL); }
2300 : INLINE GEN
2301 35097 : FlxqX_div(GEN x, GEN y, GEN T, ulong p) { return FlxqX_divrem(x, y, T, p, NULL); }
2302 : INLINE GEN
2303 33313 : F2xqX_div(GEN x, GEN y, GEN T) { return F2xqX_divrem(x, y, T, NULL); }
2304 :
2305 : /* FqX */
2306 : INLINE GEN
2307 25438 : FqX_red(GEN z, GEN T, GEN p) { return T? FpXQX_red(z, T, p): FpX_red(z, p); }
2308 : INLINE GEN
2309 957187 : FqX_add(GEN x,GEN y,GEN T,GEN p) { return T? FpXX_add(x,y,p): FpX_add(x,y,p); }
2310 : INLINE GEN
2311 17404 : FqX_neg(GEN x,GEN T,GEN p) { return T? FpXX_neg(x,p): FpX_neg(x,p); }
2312 : INLINE GEN
2313 3234 : FqX_sub(GEN x,GEN y,GEN T,GEN p) { return T? FpXX_sub(x,y,p): FpX_sub(x,y,p); }
2314 : INLINE GEN
2315 661960 : FqX_Fp_mul(GEN P, GEN u, GEN T, GEN p)
2316 661960 : { return T? FpXX_Fp_mul(P, u, p): FpX_Fp_mul(P, u, p); }
2317 : INLINE GEN
2318 588211 : FqX_Fq_mul(GEN P, GEN U, GEN T, GEN p)
2319 588211 : { return typ(U)==t_INT ? FqX_Fp_mul(P, U, T, p): FpXQX_FpXQ_mul(P, U, T, p); }
2320 : INLINE GEN
2321 98687 : FqX_mul(GEN x, GEN y, GEN T, GEN p)
2322 98687 : { return T? FpXQX_mul(x, y, T, p): FpX_mul(x, y, p); }
2323 : INLINE GEN
2324 489744 : FqX_mulu(GEN x, ulong y, GEN T, GEN p)
2325 489744 : { return T? FpXX_mulu(x, y, p): FpX_mulu(x, y, p); }
2326 : INLINE GEN
2327 6468 : FqX_sqr(GEN x, GEN T, GEN p)
2328 6468 : { return T? FpXQX_sqr(x, T, p): FpX_sqr(x, p); }
2329 : INLINE GEN
2330 1288 : FqX_powu(GEN x, ulong n, GEN T, GEN p)
2331 1288 : { return T? FpXQX_powu(x, n, T, p): FpX_powu(x, n, p); }
2332 : INLINE GEN
2333 0 : FqX_halve(GEN x, GEN T, GEN p)
2334 0 : { return T? FpXX_halve(x, p): FpX_halve(x, p); }
2335 : INLINE GEN
2336 5964 : FqX_div(GEN x, GEN y, GEN T, GEN p)
2337 5964 : { return T? FpXQX_divrem(x,y,T,p,NULL): FpX_divrem(x,y,p,NULL); }
2338 : INLINE GEN
2339 6095 : FqX_get_red(GEN S, GEN T, GEN p)
2340 6095 : { return T? FpXQX_get_red(S,T,p): FpX_get_red(S,p); }
2341 : INLINE GEN
2342 53108 : FqX_rem(GEN x, GEN y, GEN T, GEN p)
2343 53108 : { return T? FpXQX_rem(x,y,T,p): FpX_rem(x,y,p); }
2344 : INLINE GEN
2345 0 : FqX_divrem(GEN x, GEN y, GEN T, GEN p, GEN *z)
2346 0 : { return T? FpXQX_divrem(x,y,T,p,z): FpX_divrem(x,y,p,z); }
2347 : INLINE GEN
2348 5936 : FqX_div_by_X_x(GEN x, GEN y, GEN T, GEN p, GEN *z)
2349 5936 : { return T? FpXQX_div_by_X_x(x,y,T,p,z): FpX_div_by_X_x(x,y,p,z); }
2350 : INLINE GEN
2351 0 : FqX_halfgcd(GEN P,GEN Q,GEN T,GEN p)
2352 0 : {return T? FpXQX_halfgcd(P,Q,T,p): FpX_halfgcd(P,Q,p);}
2353 : INLINE GEN
2354 259833 : FqX_gcd(GEN P,GEN Q,GEN T,GEN p)
2355 259833 : {return T? FpXQX_gcd(P,Q,T,p): FpX_gcd(P,Q,p);}
2356 : INLINE GEN
2357 90746 : FqX_extgcd(GEN P,GEN Q,GEN T,GEN p, GEN *U, GEN *V)
2358 90746 : { return T? FpXQX_extgcd(P,Q,T,p,U,V): FpX_extgcd(P,Q,p,U,V); }
2359 : INLINE GEN
2360 3437 : FqX_normalize(GEN z, GEN T, GEN p)
2361 3437 : { return T? FpXQX_normalize(z, T, p): FpX_normalize(z, p); }
2362 : INLINE GEN
2363 273119 : FqX_deriv(GEN f, GEN T, GEN p) { return T? FpXX_deriv(f, p): FpX_deriv(f, p); }
2364 : INLINE GEN
2365 0 : FqX_integ(GEN f, GEN T, GEN p) { return T? FpXX_integ(f, p): FpX_integ(f, p); }
2366 : INLINE GEN
2367 74837 : FqX_factor(GEN f, GEN T, GEN p)
2368 74837 : { return T?FpXQX_factor(f, T, p): FpX_factor(f, p); }
2369 : INLINE GEN
2370 7 : FqX_factor_squarefree(GEN f, GEN T, GEN p)
2371 7 : { return T ? FpXQX_factor_squarefree(f, T, p): FpX_factor_squarefree(f, p); }
2372 : INLINE GEN
2373 7 : FqX_ddf(GEN f, GEN T, GEN p)
2374 7 : { return T ? FpXQX_ddf(f, T, p): FpX_ddf(f, p); }
2375 : INLINE GEN
2376 42 : FqX_degfact(GEN f, GEN T, GEN p)
2377 42 : { return T?FpXQX_degfact(f, T, p): FpX_degfact(f, p); }
2378 : INLINE GEN
2379 7126 : FqX_roots(GEN f, GEN T, GEN p)
2380 7126 : { return T?FpXQX_roots(f, T, p): FpX_roots(f, p); }
2381 : INLINE GEN
2382 203 : FqX_to_mod(GEN f, GEN T, GEN p)
2383 203 : { return T?FpXQX_to_mod(f, T, p): FpX_to_mod(f, p); }
2384 :
2385 : /*FqXQ*/
2386 : INLINE GEN
2387 0 : FqXQ_add(GEN x, GEN y, GEN S/*unused*/, GEN T, GEN p)
2388 0 : { (void)S; return T? FpXX_add(x,y,p): FpX_add(x,y,p); }
2389 : INLINE GEN
2390 0 : FqXQ_sub(GEN x, GEN y, GEN S/*unused*/, GEN T, GEN p)
2391 0 : { (void)S; return T? FpXX_sub(x,y,p): FpX_sub(x,y,p); }
2392 : INLINE GEN
2393 0 : FqXQ_div(GEN x, GEN y, GEN S, GEN T, GEN p)
2394 0 : { return T? FpXQXQ_div(x,y,S,T,p): FpXQ_div(x,y,S,p); }
2395 : INLINE GEN
2396 0 : FqXQ_inv(GEN x, GEN S, GEN T, GEN p)
2397 0 : { return T? FpXQXQ_inv(x,S,T,p): FpXQ_inv(x,S,p); }
2398 : INLINE GEN
2399 0 : FqXQ_invsafe(GEN x, GEN S, GEN T, GEN p)
2400 0 : { return T? FpXQXQ_invsafe(x,S,T,p): FpXQ_inv(x,S,p); }
2401 : INLINE GEN
2402 22348 : FqXQ_mul(GEN x, GEN y, GEN S, GEN T, GEN p)
2403 22348 : { return T? FpXQXQ_mul(x,y,S,T,p): FpXQ_mul(x,y,S,p); }
2404 : INLINE GEN
2405 0 : FqXQ_sqr(GEN x, GEN S, GEN T, GEN p)
2406 0 : { return T? FpXQXQ_sqr(x,S,T,p): FpXQ_sqr(x,S,p); }
2407 : INLINE GEN
2408 0 : FqXQ_pow(GEN x, GEN n, GEN S, GEN T, GEN p)
2409 0 : { return T? FpXQXQ_pow(x,n,S,T,p): FpXQ_pow(x,n,S,p); }
2410 :
2411 : /*FqXn*/
2412 : INLINE GEN
2413 0 : FqXn_exp(GEN x, long n, GEN T, GEN p)
2414 0 : { return T? FpXQXn_exp(x,n,T,p): FpXn_exp(x,n,p); }
2415 : INLINE GEN
2416 0 : FqXn_inv(GEN x, long n, GEN T, GEN p)
2417 0 : { return T? FpXQXn_inv(x,n,T,p): FpXn_inv(x,n,p); }
2418 : INLINE GEN
2419 0 : FqXn_mul(GEN x, GEN y, long n, GEN T, GEN p)
2420 0 : { return T? FpXQXn_mul(x, y, n, T, p): FpXn_mul(x, y, n, p); }
2421 : INLINE GEN
2422 0 : FqXn_sqr(GEN x, long n, GEN T, GEN p)
2423 0 : { return T? FpXQXn_sqr(x,n,T,p): FpXn_sqr(x,n,p); }
2424 :
2425 : /*FpXQ*/
2426 : INLINE GEN
2427 0 : FpXQ_add(GEN x,GEN y,GEN T/*unused*/,GEN p)
2428 0 : { (void)T; return FpX_add(x,y,p); }
2429 : INLINE GEN
2430 0 : FpXQ_sub(GEN x,GEN y,GEN T/*unused*/,GEN p)
2431 0 : { (void)T; return FpX_sub(x,y,p); }
2432 :
2433 : /*Flxq*/
2434 : INLINE GEN
2435 0 : Flxq_add(GEN x,GEN y,GEN T/*unused*/,ulong p)
2436 0 : { (void)T; return Flx_add(x,y,p); }
2437 : INLINE GEN
2438 0 : Flxq_sub(GEN x,GEN y,GEN T/*unused*/,ulong p)
2439 0 : { (void)T; return Flx_sub(x,y,p); }
2440 :
2441 : /* F2x */
2442 :
2443 : INLINE ulong
2444 102640661 : F2x_coeff(GEN x,long v)
2445 : {
2446 102640661 : ulong u=(ulong)x[2+divsBIL(v)];
2447 102640923 : return (u>>remsBIL(v))&1UL;
2448 : }
2449 :
2450 : INLINE void
2451 5067781 : F2x_clear(GEN x,long v)
2452 : {
2453 5067781 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2454 5067781 : *u&=~(1UL<<remsBIL(v));
2455 5067781 : }
2456 :
2457 : INLINE void
2458 32849231 : F2x_set(GEN x,long v)
2459 : {
2460 32849231 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2461 32833951 : *u|=1UL<<remsBIL(v);
2462 32832719 : }
2463 :
2464 : INLINE void
2465 1502090 : F2x_flip(GEN x,long v)
2466 : {
2467 1502090 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2468 1502090 : *u^=1UL<<remsBIL(v);
2469 1502090 : }
2470 :
2471 : /* F2v */
2472 :
2473 : INLINE ulong
2474 98036974 : F2v_coeff(GEN x,long v) { return F2x_coeff(x,v-1); }
2475 :
2476 : INLINE void
2477 5067781 : F2v_clear(GEN x,long v) { F2x_clear(x,v-1); }
2478 :
2479 : INLINE void
2480 9029057 : F2v_set(GEN x,long v) { F2x_set(x,v-1); }
2481 :
2482 : INLINE void
2483 1502090 : F2v_flip(GEN x,long v) { F2x_flip(x,v-1); }
2484 :
2485 : /* F2m */
2486 :
2487 : INLINE ulong
2488 12396810 : F2m_coeff(GEN x, long a, long b) { return F2v_coeff(gel(x,b), a); }
2489 :
2490 : INLINE void
2491 0 : F2m_clear(GEN x, long a, long b) { F2v_clear(gel(x,b), a); }
2492 :
2493 : INLINE void
2494 1358597 : F2m_set(GEN x, long a, long b) { F2v_set(gel(x,b), a); }
2495 :
2496 : INLINE void
2497 1502090 : F2m_flip(GEN x, long a, long b) { F2v_flip(gel(x,b), a); }
2498 :
2499 : /* ARITHMETIC */
2500 : INLINE GEN
2501 1071 : matpascal(long n) { return matqpascal(n, NULL); }
2502 : INLINE long
2503 2334707 : Z_issquare(GEN x) { return Z_issquareall(x, NULL); }
2504 : INLINE long
2505 14 : Z_ispower(GEN x, ulong k) { return Z_ispowerall(x, k, NULL); }
2506 : INLINE GEN
2507 5928634 : sqrti(GEN x) { return sqrtremi(x,NULL); }
2508 : INLINE GEN
2509 5674679 : gaddgs(GEN y, long s) { return gaddsg(s,y); }
2510 : INLINE int
2511 72148 : gcmpgs(GEN y, long s) { return -gcmpsg(s,y); }
2512 : INLINE int
2513 24514 : gequalgs(GEN y, long s) { return gequalsg(s,y); }
2514 : INLINE GEN
2515 0 : gmaxsg(long s, GEN y) { return gmaxgs(y,s); }
2516 : INLINE GEN
2517 0 : gminsg(long s, GEN y) { return gmings(y,s); }
2518 : INLINE GEN
2519 15118013 : gmulgs(GEN y, long s) { return gmulsg(s,y); }
2520 : INLINE GEN
2521 932753 : gsubgs(GEN y, long s) { return gaddgs(y, -s); }
2522 : INLINE GEN
2523 692104 : gdivsg(long s, GEN y) { return gdiv(stoi(s), y); }
2524 :
2525 : /* x t_COMPLEX */
2526 : INLINE GEN
2527 14105447 : cxnorm(GEN x) { return gadd(gsqr(gel(x,1)), gsqr(gel(x,2))); }
2528 : /* q t_QUAD */
2529 : INLINE GEN
2530 623 : quadnorm(GEN q)
2531 : {
2532 623 : GEN X = gel(q,1), b = gel(X,3), c = gel(X,2);
2533 623 : GEN z, u = gel(q,3), v = gel(q,2);
2534 623 : if (typ(u) == t_INT && typ(v) == t_INT) /* generic case */
2535 : {
2536 308 : z = signe(b)? mulii(v, addii(u,v)): sqri(v);
2537 308 : return addii(z, mulii(c, sqri(u)));
2538 : }
2539 : else
2540 : {
2541 315 : z = signe(b)? gmul(v, gadd(u,v)): gsqr(v);
2542 315 : return gadd(z, gmul(c, gsqr(u)));
2543 : }
2544 : }
2545 : /* x a t_QUAD, return the attached discriminant */
2546 : INLINE GEN
2547 280 : quad_disc(GEN x)
2548 : {
2549 280 : GEN Q = gel(x,1), b = gel(Q,3), c = gel(Q,2), c4 = shifti(c,2);
2550 280 : if (is_pm1(b)) return subsi(1, c4);
2551 56 : togglesign_safe(&c4); return c4;
2552 : }
2553 : INLINE GEN
2554 6386709 : qfb_disc3(GEN x, GEN y, GEN z) { return subii(sqri(y), shifti(mulii(x,z),2)); }
2555 : INLINE GEN
2556 6305775 : qfb_disc(GEN x) { return qfb_disc3(gel(x,1), gel(x,2), gel(x,3)); }
2557 :
2558 : INLINE GEN
2559 1267459 : sqrfrac(GEN x)
2560 : {
2561 1267459 : GEN z = cgetg(3,t_FRAC);
2562 1267459 : gel(z,1) = sqri(gel(x,1));
2563 1267459 : gel(z,2) = sqri(gel(x,2)); return z;
2564 : }
2565 :
2566 : INLINE void
2567 34440906 : normalize_frac(GEN z) {
2568 34440906 : if (signe(gel(z,2)) < 0) { togglesign(gel(z,1)); setabssign(gel(z,2)); }
2569 34440906 : }
2570 :
2571 : INLINE GEN
2572 270642 : powii(GEN x, GEN n)
2573 : {
2574 270642 : long ln = lgefint(n);
2575 270642 : if (ln == 3) {
2576 : GEN z;
2577 266204 : if (signe(n) > 0) return powiu(x, n[2]);
2578 8344 : z = cgetg(3, t_FRAC);
2579 8344 : gel(z,1) = gen_1;
2580 8344 : gel(z,2) = powiu(x, n[2]);
2581 8344 : return z;
2582 : }
2583 4438 : if (ln == 2) return gen_1; /* rare */
2584 : /* should never happen */
2585 0 : return powgi(x, n); /* overflow unless x = 0, 1, -1 */
2586 : }
2587 : INLINE GEN
2588 1267 : powIs(long n) {
2589 1267 : switch(n & 3)
2590 : {
2591 49 : case 1: return mkcomplex(gen_0,gen_1);
2592 378 : case 2: return gen_m1;
2593 518 : case 3: return mkcomplex(gen_0,gen_m1);
2594 : }
2595 322 : return gen_1;
2596 : }
2597 :
2598 : /*******************************************************************/
2599 : /* */
2600 : /* ASSIGNMENTS */
2601 : /* */
2602 : /*******************************************************************/
2603 0 : INLINE void mpexpz(GEN x, GEN z)
2604 0 : { pari_sp av = avma; gaffect(mpexp(x), z); set_avma(av); }
2605 0 : INLINE void mplogz(GEN x, GEN z)
2606 0 : { pari_sp av = avma; gaffect(mplog(x), z); set_avma(av); }
2607 0 : INLINE void mpcosz(GEN x, GEN z)
2608 0 : { pari_sp av = avma; gaffect(mpcos(x), z); set_avma(av); }
2609 0 : INLINE void mpsinz(GEN x, GEN z)
2610 0 : { pari_sp av = avma; gaffect(mpsin(x), z); set_avma(av); }
2611 0 : INLINE void gnegz(GEN x, GEN z)
2612 0 : { pari_sp av = avma; gaffect(gneg(x), z); set_avma(av); }
2613 0 : INLINE void gabsz(GEN x, long prec, GEN z)
2614 0 : { pari_sp av = avma; gaffect(gabs(x,prec), z); set_avma(av); }
2615 0 : INLINE void gaddz(GEN x, GEN y, GEN z)
2616 0 : { pari_sp av = avma; gaffect(gadd(x,y), z); set_avma(av); }
2617 0 : INLINE void gsubz(GEN x, GEN y, GEN z)
2618 0 : { pari_sp av = avma; gaffect(gsub(x,y), z); set_avma(av); }
2619 0 : INLINE void gmulz(GEN x, GEN y, GEN z)
2620 0 : { pari_sp av = avma; gaffect(gmul(x,y), z); set_avma(av); }
2621 0 : INLINE void gdivz(GEN x, GEN y, GEN z)
2622 0 : { pari_sp av = avma; gaffect(gdiv(x,y), z); set_avma(av); }
2623 0 : INLINE void gdiventz(GEN x, GEN y, GEN z)
2624 0 : { pari_sp av = avma; gaffect(gdivent(x,y), z); set_avma(av); }
2625 0 : INLINE void gmodz(GEN x, GEN y, GEN z)
2626 0 : { pari_sp av = avma; gaffect(gmod(x,y), z); set_avma(av); }
2627 0 : INLINE void gmul2nz(GEN x, long s, GEN z)
2628 0 : { pari_sp av = avma; gaffect(gmul2n(x,s), z); set_avma(av); }
2629 0 : INLINE void gshiftz(GEN x, long s, GEN z)
2630 0 : { pari_sp av = avma; gaffect(gshift(x,s), z); set_avma(av); }
2631 :
2632 : /*******************************************************************/
2633 : /* */
2634 : /* ELLIPTIC CURVES */
2635 : /* */
2636 : /*******************************************************************/
2637 3982406 : INLINE GEN ell_get_a1(GEN e) { return gel(e,1); }
2638 3097459 : INLINE GEN ell_get_a2(GEN e) { return gel(e,2); }
2639 3864325 : INLINE GEN ell_get_a3(GEN e) { return gel(e,3); }
2640 3890398 : INLINE GEN ell_get_a4(GEN e) { return gel(e,4); }
2641 4707130 : INLINE GEN ell_get_a6(GEN e) { return gel(e,5); }
2642 3320181 : INLINE GEN ell_get_b2(GEN e) { return gel(e,6); }
2643 1025539 : INLINE GEN ell_get_b4(GEN e) { return gel(e,7); }
2644 1631480 : INLINE GEN ell_get_b6(GEN e) { return gel(e,8); }
2645 1464498 : INLINE GEN ell_get_b8(GEN e) { return gel(e,9); }
2646 6172492 : INLINE GEN ell_get_c4(GEN e) { return gel(e,10); }
2647 7408187 : INLINE GEN ell_get_c6(GEN e) { return gel(e,11); }
2648 9659110 : INLINE GEN ell_get_disc(GEN e) { return gel(e,12); }
2649 1029217 : INLINE GEN ell_get_j(GEN e) { return gel(e,13); }
2650 11461333 : INLINE long ell_get_type(GEN e) { return mael(e,14,1); }
2651 1571730 : INLINE GEN ellff_get_field(GEN x) { return gmael(x, 15, 1); }
2652 683464 : INLINE GEN ellff_get_a4a6(GEN x) { return gmael(x, 15, 2); }
2653 1407 : INLINE GEN ellQp_get_zero(GEN x) { return gmael(x, 15, 1); }
2654 287 : INLINE long ellQp_get_prec(GEN E) { GEN z = ellQp_get_zero(E); return valp(z); }
2655 1085 : INLINE GEN ellQp_get_p(GEN E) { GEN z = ellQp_get_zero(E); return gel(z,2); }
2656 37163 : INLINE long ellR_get_prec(GEN x) { return nbits2prec(mael3(x, 15, 1, 1)); }
2657 12390 : INLINE long ellR_get_sign(GEN x) { return mael3(x, 15, 1, 2); }
2658 701046 : INLINE GEN ellnf_get_nf(GEN x) { return checknf_i(gmael(x,15,1)); }
2659 56 : INLINE GEN ellnf_get_bnf(GEN x) { return checkbnf_i(gmael(x,15,1)); }
2660 :
2661 4628159 : INLINE int checkell_i(GEN e) { return typ(e) == t_VEC && lg(e) == 17; }
2662 33989510 : INLINE int ell_is_inf(GEN z) { return lg(z) == 2; }
2663 810475 : INLINE GEN ellinf(void) { return mkvec(gen_0); }
2664 :
2665 : /*******************************************************************/
2666 : /* */
2667 : /* ALGEBRAIC NUMBER THEORY */
2668 : /* */
2669 : /*******************************************************************/
2670 8610557 : INLINE GEN modpr_get_pr(GEN x) { return gel(x,3); }
2671 610424 : INLINE GEN modpr_get_p(GEN x) { return pr_get_p(modpr_get_pr(x)); }
2672 2753726 : INLINE GEN modpr_get_T(GEN x) { return lg(x) == 4? NULL: gel(x,4); }
2673 :
2674 20700479 : INLINE GEN pr_get_p(GEN pr) { return gel(pr,1); }
2675 7040215 : INLINE GEN pr_get_gen(GEN pr){ return gel(pr,2); }
2676 : /* .[2] instead of itos works: e and f are small positive integers */
2677 2417826 : INLINE long pr_get_e(GEN pr) { return gel(pr,3)[2]; }
2678 9671100 : INLINE long pr_get_f(GEN pr) { return gel(pr,4)[2]; }
2679 6568407 : INLINE GEN pr_get_tau(GEN pr){ return gel(pr,5); }
2680 : INLINE int
2681 3329651 : pr_is_inert(GEN P) { return pr_get_f(P) == lg(pr_get_gen(P))-1; }
2682 : INLINE GEN
2683 242800 : pr_norm(GEN pr) { return powiu(pr_get_p(pr), pr_get_f(pr)); }
2684 : INLINE ulong
2685 48083 : upr_norm(GEN pr) { return upowuu(pr_get_p(pr)[2], pr_get_f(pr)); }
2686 :
2687 : /* assume nf a genuine nf */
2688 : INLINE long
2689 394990 : nf_get_varn(GEN nf) { return varn(gel(nf,1)); }
2690 : INLINE GEN
2691 34458510 : nf_get_pol(GEN nf) { return gel(nf,1); }
2692 : INLINE long
2693 27449200 : nf_get_degree(GEN nf) { return degpol( nf_get_pol(nf) ); }
2694 : INLINE long
2695 4212068 : nf_get_r1(GEN nf) { GEN x = gel(nf,2); return itou(gel(x,1)); }
2696 : INLINE long
2697 1680 : nf_get_r2(GEN nf) { GEN x = gel(nf,2); return itou(gel(x,2)); }
2698 : INLINE GEN
2699 58926 : nf_get_disc(GEN nf) { return gel(nf,3); }
2700 : INLINE GEN
2701 879448 : nf_get_index(GEN nf) { return gel(nf,4); }
2702 : INLINE GEN
2703 2899506 : nf_get_M(GEN nf) { return gmael(nf,5,1); }
2704 : INLINE GEN
2705 86312 : nf_get_G(GEN nf) { return gmael(nf,5,2); }
2706 : INLINE GEN
2707 426793 : nf_get_roundG(GEN nf) { return gmael(nf,5,3); }
2708 : INLINE GEN
2709 24367 : nf_get_Tr(GEN nf) { return gmael(nf,5,4); }
2710 : INLINE GEN
2711 2331 : nf_get_diff(GEN nf) { return gmael(nf,5,5); }
2712 : INLINE GEN
2713 210 : nf_get_ramified_primes(GEN nf) { return gmael(nf,5,8); }
2714 : INLINE GEN
2715 384038 : nf_get_roots(GEN nf) { return gel(nf,6); }
2716 : INLINE GEN
2717 112 : nf_get_zk(GEN nf)
2718 : {
2719 112 : GEN y = gel(nf,7), D = gel(y, 1);
2720 112 : if (typ(D) == t_POL) D = gel(D, 2);
2721 112 : if (!equali1(D)) y = gdiv(y, D);
2722 112 : return y;
2723 : }
2724 : INLINE GEN
2725 281905 : nf_get_zkprimpart(GEN nf)
2726 : {
2727 281905 : GEN y = gel(nf,7);
2728 : /* test for old format of nf.zk: non normalized */
2729 281905 : if (!equali1(gel(nf,4)) && gequal1(gel(y,1))) y = Q_remove_denom(y,NULL);
2730 281903 : return y;
2731 : }
2732 : INLINE GEN
2733 283220 : nf_get_zkden(GEN nf)
2734 : {
2735 283220 : GEN y = gel(nf,7), D = gel(y,1);
2736 283220 : if (typ(D) == t_POL) D = gel(D,2);
2737 : /* test for old format of nf.zk: non normalized */
2738 283220 : if (!equali1(gel(nf,4)) && equali1(D)) D = Q_denom(y);
2739 283217 : return D;
2740 : }
2741 : INLINE GEN
2742 2703559 : nf_get_invzk(GEN nf) { return gel(nf,8); }
2743 : INLINE void
2744 23830 : nf_get_sign(GEN nf, long *r1, long *r2)
2745 : {
2746 23830 : GEN x = gel(nf,2);
2747 23830 : *r1 = itou(gel(x,1));
2748 23830 : *r2 = itou(gel(x,2));
2749 23830 : }
2750 :
2751 : INLINE GEN
2752 94928 : abgrp_get_no(GEN x) { return gel(x,1); }
2753 : INLINE GEN
2754 2514113 : abgrp_get_cyc(GEN x) { return gel(x,2); }
2755 : INLINE GEN
2756 458868 : abgrp_get_gen(GEN x) { return gel(x,3); }
2757 : INLINE GEN
2758 2310175 : bnf_get_nf(GEN bnf) { return gel(bnf,7); }
2759 : INLINE GEN
2760 907026 : bnf_get_clgp(GEN bnf) { return gmael(bnf,8,1); }
2761 : INLINE GEN
2762 7098 : bnf_get_no(GEN bnf) { return abgrp_get_no(bnf_get_clgp(bnf)); }
2763 : INLINE GEN
2764 488723 : bnf_get_cyc(GEN bnf) { return abgrp_get_cyc(bnf_get_clgp(bnf)); }
2765 : INLINE GEN
2766 410876 : bnf_get_gen(GEN bnf) { return abgrp_get_gen(bnf_get_clgp(bnf)); }
2767 : INLINE GEN
2768 846 : bnf_get_reg(GEN bnf) { return gmael(bnf,8,2); }
2769 : INLINE GEN
2770 510247 : bnf_get_logfu(GEN bnf) { return gel(bnf,3); }
2771 : INLINE GEN
2772 8738 : bnf_get_tuU(GEN bnf) { return gmael3(bnf,8,4,2); }
2773 : INLINE long
2774 41853 : bnf_get_tuN(GEN bnf) { return gmael3(bnf,8,4,1)[2]; }
2775 : INLINE GEN
2776 1778 : bnf_get_fu(GEN bnf) {
2777 1778 : GEN fu = bnf_get_fu_nocheck(bnf);
2778 1778 : if (typ(fu) == t_MAT) pari_err(e_MISC,"missing units in bnf");
2779 1778 : return fu;
2780 : }
2781 : INLINE GEN
2782 10103 : bnf_get_fu_nocheck(GEN bnf) { return gmael(bnf,8,5); }
2783 :
2784 : INLINE GEN
2785 907086 : bnr_get_bnf(GEN bnr) { return gel(bnr,1); }
2786 : INLINE GEN
2787 464652 : bnr_get_bid(GEN bnr) { return gel(bnr,2); }
2788 : INLINE GEN
2789 20125 : bnr_get_mod(GEN bnr) { return gmael(bnr,2,1); }
2790 : INLINE GEN
2791 34958 : bnr_get_nf(GEN bnr) { return gmael(bnr,1,7); }
2792 : INLINE GEN
2793 710485 : bnr_get_clgp(GEN bnr) { return gel(bnr,5); }
2794 : INLINE GEN
2795 84063 : bnr_get_no(GEN bnr) { return abgrp_get_no(bnr_get_clgp(bnr)); }
2796 : INLINE GEN
2797 610126 : bnr_get_cyc(GEN bnr) { return abgrp_get_cyc(bnr_get_clgp(bnr)); }
2798 : INLINE GEN
2799 70 : bnr_get_gen_nocheck(GEN bnr) { return abgrp_get_gen(bnr_get_clgp(bnr)); }
2800 : INLINE GEN
2801 14931 : bnr_get_gen(GEN bnr) {
2802 14931 : GEN G = bnr_get_clgp(bnr);
2803 14931 : if (lg(G) != 4)
2804 0 : pari_err(e_MISC,"missing bnr generators: please use bnrinit(,,1)");
2805 14931 : return gel(G,3);
2806 : }
2807 :
2808 : INLINE GEN
2809 337266 : bid_get_mod(GEN bid) { return gel(bid,1); }
2810 : INLINE GEN
2811 68089 : bid_get_ideal(GEN bid) { return gmael(bid,1,1); }
2812 : INLINE GEN
2813 1246 : bid_get_arch(GEN bid) { return gmael(bid,1,2); }
2814 : INLINE GEN
2815 1272996 : bid_get_grp(GEN bid) { return gel(bid,2); }
2816 : INLINE GEN
2817 506435 : bid_get_fact(GEN bid) { return gmael(bid,3,1); }
2818 : INLINE GEN
2819 436183 : bid_get_fact2(GEN bid) { return gmael(bid,3,2); }
2820 : INLINE GEN
2821 435252 : bid_get_sprk(GEN bid) { return gmael(bid,4,1); }
2822 : INLINE GEN
2823 49322 : bid_get_sarch(GEN bid) { return gmael(bid,4,2); }
2824 : INLINE GEN
2825 471442 : bid_get_archp(GEN bid) { return gmael3(bid,4,2,2); }
2826 : INLINE GEN
2827 772749 : bid_get_U(GEN bid) { return gel(bid,5); }
2828 : INLINE GEN
2829 0 : bid_get_no(GEN bid) { return abgrp_get_no(bid_get_grp(bid)); }
2830 : INLINE GEN
2831 1225998 : bid_get_cyc(GEN bid) { return abgrp_get_cyc(bid_get_grp(bid)); }
2832 : INLINE GEN
2833 0 : bid_get_gen_nocheck(GEN bid) { return abgrp_get_gen(bid_get_grp(bid)); }
2834 : INLINE GEN
2835 46403 : bid_get_gen(GEN bid) {
2836 46403 : GEN G = bid_get_grp(bid);
2837 46403 : if (lg(G) != 4) pari_err(e_MISC,"missing bid generators. Use idealstar(,,2)");
2838 46403 : return abgrp_get_gen(G);
2839 : }
2840 :
2841 : INLINE GEN
2842 25919068 : znstar_get_N(GEN G) { return gmael(G,1,1); }
2843 : INLINE GEN
2844 2872555 : znstar_get_faN(GEN G) { return gel(G,3); }
2845 : INLINE GEN
2846 7 : znstar_get_no(GEN G) { return abgrp_get_no(gel(G,2)); }
2847 : INLINE GEN
2848 187845 : znstar_get_cyc(GEN G) { return abgrp_get_cyc(gel(G,2)); }
2849 : INLINE GEN
2850 7 : znstar_get_gen(GEN G) { return abgrp_get_gen(gel(G,2)); }
2851 : INLINE GEN
2852 3548293 : znstar_get_conreycyc(GEN G) { return gmael(G,4,5); }
2853 : INLINE GEN
2854 1219295 : znstar_get_conreygen(GEN G) { return gmael(G,4,4); }
2855 : INLINE GEN
2856 45927 : znstar_get_Ui(GEN G) { return gmael(G,4,3); }
2857 : INLINE GEN
2858 118237 : znstar_get_U(GEN G) { return gel(G,5); }
2859 : INLINE GEN
2860 825699 : znstar_get_pe(GEN G) { return gmael(G,4,1); }
2861 : INLINE GEN
2862 19922 : gal_get_pol(GEN gal) { return gel(gal,1); }
2863 : INLINE GEN
2864 1330 : gal_get_p(GEN gal) { return gmael(gal,2,1); }
2865 : INLINE GEN
2866 84 : gal_get_e(GEN gal) { return gmael(gal,2,2); }
2867 : INLINE GEN
2868 15981 : gal_get_mod(GEN gal) { return gmael(gal,2,3); }
2869 : INLINE GEN
2870 16359 : gal_get_roots(GEN gal) { return gel(gal,3); }
2871 : INLINE GEN
2872 15932 : gal_get_invvdm(GEN gal) { return gel(gal,4); }
2873 : INLINE GEN
2874 15932 : gal_get_den(GEN gal) { return gel(gal,5); }
2875 : INLINE GEN
2876 67162 : gal_get_group(GEN gal) { return gel(gal,6); }
2877 : INLINE GEN
2878 1750 : gal_get_gen(GEN gal) { return gel(gal,7); }
2879 : INLINE GEN
2880 1386 : gal_get_orders(GEN gal) { return gel(gal,8); }
2881 :
2882 : /* assume rnf a genuine rnf */
2883 : INLINE long
2884 1233841 : rnf_get_degree(GEN rnf) { return degpol(rnf_get_pol(rnf)); }
2885 : INLINE long
2886 16674 : rnf_get_nfdegree(GEN rnf) { return degpol(nf_get_pol(rnf_get_nf(rnf))); }
2887 : INLINE long
2888 775698 : rnf_get_absdegree(GEN rnf) { return degpol(gmael(rnf,11,1)); }
2889 : INLINE GEN
2890 700 : rnf_get_idealdisc(GEN rnf) { return gmael(rnf,3,1); }
2891 : INLINE GEN
2892 742 : rnf_get_k(GEN rnf) { return gmael(rnf,11,3); }
2893 : INLINE GEN
2894 791 : rnf_get_alpha(GEN rnf) { return gmael(rnf, 11, 2); }
2895 : INLINE GEN
2896 427735 : rnf_get_nf(GEN rnf) { return gel(rnf,10); }
2897 : INLINE GEN
2898 3787 : rnf_get_nfzk(GEN rnf) { return gel(rnf,2); }
2899 : INLINE GEN
2900 214886 : rnf_get_polabs(GEN rnf) { return gmael(rnf,11,1); }
2901 : INLINE GEN
2902 1480052 : rnf_get_pol(GEN rnf) { return gel(rnf,1); }
2903 : INLINE GEN
2904 63 : rnf_get_disc(GEN rnf) { return gel(rnf,3); }
2905 : INLINE GEN
2906 105 : rnf_get_index(GEN rnf) { return gel(rnf,4); }
2907 : INLINE long
2908 0 : rnf_get_varn(GEN rnf) { return varn(gel(rnf,1)); }
2909 : INLINE GEN
2910 188580 : rnf_get_nfpol(GEN rnf) { return gmael(rnf,10,1); }
2911 : INLINE long
2912 3325 : rnf_get_nfvarn(GEN rnf) { return varn(gmael(rnf,10,1)); }
2913 : INLINE GEN
2914 3493 : rnf_get_zk(GEN rnf) { return gel(rnf,7); }
2915 : INLINE GEN
2916 97321 : rnf_get_map(GEN rnf) { return gel(rnf,11); }
2917 : INLINE GEN
2918 1197 : rnf_get_invzk(GEN rnf) { return gel(rnf,8); }
2919 :
2920 : /* I integral ZM (not HNF), G ZM, rounded Cholesky form of a weighted
2921 : * T2 matrix. Reduce I wrt G */
2922 : INLINE GEN
2923 21966 : idealpseudored(GEN I, GEN G)
2924 21966 : { return ZM_mul(I, ZM_lll(ZM_mul(G, I), 0.99, LLL_IM)); }
2925 :
2926 : /* I integral (not necessarily HNF), G ZM, rounded Cholesky form of a weighted
2927 : * T2 matrix. Return m in I with T2(m) small */
2928 : INLINE GEN
2929 145890 : idealpseudomin(GEN I, GEN G)
2930 : {
2931 145890 : GEN u = ZM_lll(ZM_mul(G, I), 0.99, LLL_IM);
2932 145890 : return ZM_ZC_mul(I, gel(u,1));
2933 : }
2934 : /* I, G as in idealpseudomin. Return an irrational m in I with T2(m) small */
2935 : INLINE GEN
2936 313936 : idealpseudomin_nonscalar(GEN I, GEN G)
2937 : {
2938 313936 : GEN u = ZM_lll(ZM_mul(G, I), 0.99, LLL_IM);
2939 313936 : GEN m = ZM_ZC_mul(I, gel(u,1));
2940 313936 : if (ZV_isscalar(m) && lg(u) > 2) m = ZM_ZC_mul(I, gel(u,2));
2941 313936 : return m;
2942 : }
2943 :
2944 : INLINE GEN
2945 938 : idealred_elt(GEN nf, GEN I) {
2946 938 : pari_sp av = avma;
2947 938 : GEN u = idealpseudomin(I, nf_get_roundG(nf));
2948 938 : return gerepileupto(av, u);
2949 : }
2950 : INLINE GEN
2951 127946 : idealred(GEN nf, GEN I) { return idealred0(nf, I, NULL); }
2952 :
2953 : INLINE GEN
2954 2058 : idealchineseinit(GEN nf, GEN x)
2955 2058 : { return idealchinese(nf,x,NULL); }
2956 :
2957 : /*******************************************************************/
2958 : /* */
2959 : /* CLOSURES */
2960 : /* */
2961 : /*******************************************************************/
2962 226650130 : INLINE long closure_arity(GEN C) { return ((ulong)C[1])&ARITYBITS; }
2963 35529322 : INLINE long closure_is_variadic(GEN C) { return !!(((ulong)C[1])&VARARGBITS); }
2964 190851353 : INLINE const char *closure_codestr(GEN C) { return GSTR(gel(C,2))-1; }
2965 0 : INLINE GEN closure_get_code(GEN C) { return gel(C,2); }
2966 190792243 : INLINE GEN closure_get_oper(GEN C) { return gel(C,3); }
2967 190768541 : INLINE GEN closure_get_data(GEN C) { return gel(C,4); }
2968 9880 : INLINE GEN closure_get_dbg(GEN C) { return gel(C,5); }
2969 23722 : INLINE GEN closure_get_text(GEN C) { return gel(C,6); }
2970 1267983 : INLINE GEN closure_get_frame(GEN C) { return gel(C,7); }
2971 :
2972 : /*******************************************************************/
2973 : /* */
2974 : /* ERRORS */
2975 : /* */
2976 : /*******************************************************************/
2977 : INLINE long
2978 53179 : err_get_num(GEN e) { return e[1]; }
2979 : INLINE GEN
2980 105 : err_get_compo(GEN e, long i) { return gel(e, i+1); }
2981 :
2982 : INLINE void
2983 14 : pari_err_BUG(const char *f) { pari_err(e_BUG,f); }
2984 : INLINE void
2985 7 : pari_err_CONSTPOL(const char *f) { pari_err(e_CONSTPOL, f); }
2986 : INLINE void
2987 63 : pari_err_COPRIME(const char *f, GEN x, GEN y) { pari_err(e_COPRIME, f,x,y); }
2988 : INLINE void
2989 494 : pari_err_DIM(const char *f) { pari_err(e_DIM, f); }
2990 : INLINE void
2991 0 : pari_err_FILE(const char *f, const char *g) { pari_err(e_FILE, f,g); }
2992 : INLINE void
2993 0 : pari_err_FILEDESC(const char *f, long n) { pari_err(e_FILEDESC, f,n); }
2994 : INLINE void
2995 77 : pari_err_FLAG(const char *f) { pari_err(e_FLAG,f); }
2996 : INLINE void
2997 434 : pari_err_IMPL(const char *f) { pari_err(e_IMPL,f); }
2998 : INLINE void
2999 19751 : pari_err_INV(const char *f, GEN x) { pari_err(e_INV,f,x); }
3000 : INLINE void
3001 42 : pari_err_IRREDPOL(const char *f, GEN x) { pari_err(e_IRREDPOL, f,x); }
3002 : INLINE void
3003 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); }
3004 : INLINE void
3005 200 : pari_err_COMPONENT(const char *f, const char *op, GEN l, GEN x) { pari_err(e_COMPONENT, f,op,l,x); }
3006 : INLINE void
3007 0 : pari_err_MAXPRIME(ulong c) { pari_err(e_MAXPRIME, c); }
3008 : INLINE void
3009 350 : pari_err_OP(const char *f, GEN x, GEN y) { pari_err(e_OP, f,x,y); }
3010 : INLINE void
3011 100 : pari_err_OVERFLOW(const char *f) { pari_err(e_OVERFLOW, f); }
3012 : INLINE void
3013 225 : pari_err_PREC(const char *f) { pari_err(e_PREC,f); }
3014 : INLINE void
3015 0 : pari_err_PACKAGE(const char *f) { pari_err(e_PACKAGE,f); }
3016 : INLINE void
3017 77 : pari_err_PRIME(const char *f, GEN x) { pari_err(e_PRIME, f,x); }
3018 : INLINE void
3019 749 : pari_err_MODULUS(const char *f, GEN x, GEN y) { pari_err(e_MODULUS, f,x,y); }
3020 : INLINE void
3021 49 : pari_err_ROOTS0(const char *f) { pari_err(e_ROOTS0, f); }
3022 : INLINE void
3023 84 : pari_err_SQRTN(const char *f, GEN x) { pari_err(e_SQRTN, f,x); }
3024 : INLINE void
3025 12741 : pari_err_TYPE(const char *f, GEN x) { pari_err(e_TYPE, f,x); }
3026 : INLINE void
3027 3045 : pari_err_TYPE2(const char *f, GEN x, GEN y) { pari_err(e_TYPE2, f,x,y); }
3028 : INLINE void
3029 280 : pari_err_VAR(const char *f, GEN x, GEN y) { pari_err(e_VAR, f,x,y); }
3030 : INLINE void
3031 182 : pari_err_PRIORITY(const char *f, GEN x, const char *op, long v)
3032 182 : { pari_err(e_PRIORITY, f,x,op,v); }
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