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 3206477 : mkintmod(GEN x, GEN y) { retmkintmod(x,y); }
141 : INLINE GEN
142 3164 : mkintmodu(ulong x, ulong y) {
143 3164 : GEN v = cgetg(3,t_INTMOD);
144 3164 : gel(v,1) = utoipos(y);
145 3164 : gel(v,2) = utoi(x); return v;
146 : }
147 : INLINE GEN
148 3035667 : mkpolmod(GEN x, GEN y) { retmkpolmod(x,y); }
149 : INLINE GEN
150 25672045 : mkfrac(GEN x, GEN y) { retmkfrac(x,y); }
151 : INLINE GEN
152 32172 : 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 13916 : Qtoss(GEN q, long *n, long *d)
156 : {
157 13916 : if (typ(q) == t_INT) { *n = itos(q); *d = 1; }
158 2828 : else { *n = itos(gel(q,1)); *d = itou(gel(q,2)); }
159 13916 : }
160 : INLINE GEN
161 71394509 : sstoQ(long n, long d)
162 : {
163 : ulong r;
164 : long g, q;
165 71394509 : if (!n)
166 : {
167 100205 : if (!d) pari_err_INV("sstoQ",gen_0);
168 100205 : return gen_0;
169 : }
170 71294304 : if (d < 0) { d = -d; n = -n; }
171 71294304 : if (d == 1) return stoi(n);
172 71281949 : q = udivuu_rem(labs(n),d,&r);
173 71281949 : if (!r) return n > 0? utoipos(q): utoineg(q);
174 3642034 : g = ugcd(d,r); /* gcd(n,d) */
175 3642034 : if (g != 1) { n /= g; d /= g; }
176 3642034 : retmkfrac(stoi(n), utoi(d));
177 : }
178 :
179 : INLINE GEN
180 16802093 : 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 20819298 : mkcomplex(GEN x, GEN y) { retmkcomplex(x,y); }
189 : INLINE GEN
190 455966 : gen_I(void) { return mkcomplex(gen_0, gen_1); }
191 : INLINE GEN
192 268580 : 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 67104425 : mkvecsmall(long x) { GEN v = cgetg(2, t_VECSMALL); v[1] = x; return v; }
199 : INLINE GEN
200 115722736 : mkvecsmall2(long x,long y) { GEN v = cgetg(3, t_VECSMALL);
201 115737920 : v[1]=x; v[2]=y; return v; }
202 : INLINE GEN
203 57831690 : mkvecsmall3(long x,long y,long z) { GEN v = cgetg(4, t_VECSMALL);
204 57826812 : v[1]=x; v[2]=y; v[3]=z; return v; }
205 : INLINE GEN
206 11939451 : mkvecsmall4(long x,long y,long z,long t) { GEN v = cgetg(5, t_VECSMALL);
207 11932845 : v[1]=x; v[2]=y; v[3]=z; v[4]=t; return v; }
208 : INLINE GEN
209 468087 : mkvecsmall5(long x,long y,long z,long t,long u) { GEN v = cgetg(6, t_VECSMALL);
210 468087 : 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 45904120 : mkvec(GEN x) { retmkvec(x); }
217 : INLINE GEN
218 107808368 : mkvec2(GEN x, GEN y) { retmkvec2(x,y); }
219 : INLINE GEN
220 64296981 : mkvec3(GEN x, GEN y, GEN z) { retmkvec3(x,y,z); }
221 : INLINE GEN
222 7391739 : mkvec4(GEN x, GEN y, GEN z, GEN t) { retmkvec4(x,y,z,t); }
223 : INLINE GEN
224 12238172 : 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 25002 : mkvec2s(long x, long y) { retmkvec2(stoi(x),stoi(y)); }
229 : INLINE GEN
230 492752 : 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 35756 : mkveccopy(GEN x) { GEN v = cgetg(2, t_VEC); gel(v,1) = gcopy(x); return v; }
235 : INLINE GEN
236 100906 : mkvec2copy(GEN x, GEN y) {
237 100906 : GEN v = cgetg(3,t_VEC); gel(v,1) = gcopy(x); gel(v,2) = gcopy(y); return v; }
238 : /* col */
239 : INLINE GEN
240 2618421 : mkcol(GEN x) { retmkcol(x); }
241 : INLINE GEN
242 26429170 : mkcol2(GEN x, GEN y) { retmkcol2(x,y); }
243 : INLINE GEN
244 42707 : 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 9579 : mkcol6(GEN x, GEN y, GEN z, GEN t, GEN u, GEN v) { retmkcol6(x,y,z,t,u,v); }
251 : INLINE GEN
252 259 : mkcols(long x) { retmkcol(stoi(x)); }
253 : INLINE GEN
254 2760786 : 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 49145 : mkcolcopy(GEN x) { GEN v = cgetg(2, t_COL); gel(v,1) = gcopy(x); return v; }
261 : /* mat */
262 : INLINE GEN
263 2815818 : mkmat(GEN x) { retmkmat(x); }
264 : INLINE GEN
265 32587079 : 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 27449 : 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 88724 : mkoo(void) { GEN v = cgetg(2, t_INFINITY); gel(v,1) = gen_1; return v; }
278 : INLINE GEN
279 17045 : mkmoo(void) { GEN v = cgetg(2, t_INFINITY); gel(v,1) = gen_m1; return v; }
280 : INLINE long
281 117894 : inf_get_sign(GEN x) { return signe(gel(x,1)); }
282 : INLINE GEN
283 12425 : mkmat22s(long a, long b, long c, long d) {retmkmat2(mkcol2s(a,c),mkcol2s(b,d));}
284 : INLINE GEN
285 1620185 : mkmat22(GEN a, GEN b, GEN c, GEN d) { retmkmat2(mkcol2(a,c),mkcol2(b,d)); }
286 :
287 : /* pol */
288 : INLINE GEN
289 1037429 : pol_x(long v) {
290 1037429 : GEN p = cgetg(4, t_POL);
291 1037429 : p[1] = evalsigne(1)|evalvarn(v);
292 1037429 : gel(p,2) = gen_0;
293 1037429 : gel(p,3) = gen_1; return p;
294 : }
295 : /* x^n, assume n >= 0 */
296 : INLINE GEN
297 1699668 : pol_xn(long n, long v) {
298 1699668 : long i, a = n+2;
299 1699668 : GEN p = cgetg(a+1, t_POL);
300 1699668 : p[1] = evalsigne(1)|evalvarn(v);
301 1699668 : for (i = 2; i < a; i++) gel(p,i) = gen_0;
302 1699668 : 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 : /* x^n, assume n >= 0 */
312 : INLINE GEN
313 203 : polxn_Flx(long n, long sv) {
314 203 : long i, a = n+2;
315 203 : GEN p = cgetg(a+1, t_VECSMALL);
316 203 : p[1] = sv;
317 203 : for (i = 2; i < a; i++) p[i] = 0;
318 203 : p[a] = 1; return p;
319 : }
320 : INLINE GEN
321 1805073 : pol_1(long v) {
322 1805073 : GEN p = cgetg(3, t_POL);
323 1805073 : p[1] = evalsigne(1)|evalvarn(v);
324 1805073 : gel(p,2) = gen_1; return p;
325 : }
326 : INLINE GEN
327 32793298 : pol_0(long v)
328 : {
329 32793298 : GEN x = cgetg(2,t_POL);
330 32793298 : x[1] = evalvarn(v); return x;
331 : }
332 : #define retconst_vec(n,x)\
333 : do { long _i, _n = (n);\
334 : GEN _v = cgetg(_n+1, t_VEC), _x = (x);\
335 : for (_i = 1; _i <= _n; _i++) gel(_v,_i) = _x;\
336 : return _v; } while(0)
337 : INLINE GEN
338 9264795 : const_vec(long n, GEN x) { retconst_vec(n, x); }
339 : #define retconst_col(n,x)\
340 : do { long _i, _n = (n);\
341 : GEN _v = cgetg(_n+1, t_COL), _x = (x);\
342 : for (_i = 1; _i <= _n; _i++) gel(_v,_i) = _x;\
343 : return _v; } while(0)
344 : INLINE GEN
345 8690693 : const_col(long n, GEN x) { retconst_col(n, x); }
346 : INLINE GEN
347 10951873 : const_vecsmall(long n, long c)
348 : {
349 : long i;
350 10951873 : GEN V = cgetg(n+1,t_VECSMALL);
351 10951994 : for(i=1;i<=n;i++) V[i] = c;
352 10951994 : return V;
353 : }
354 :
355 : /*** ZERO ***/
356 : /* O(p^e) */
357 : INLINE GEN
358 362036 : zeropadic(GEN p, long e)
359 : {
360 362036 : GEN y = cgetg(5,t_PADIC);
361 362036 : gel(y,4) = gen_0;
362 362036 : gel(y,3) = gen_1;
363 362036 : gel(y,2) = icopy(p);
364 362036 : y[1] = evalvalp(e) | _evalprecp(0);
365 362036 : return y;
366 : }
367 : INLINE GEN
368 966 : zeropadic_shallow(GEN p, long e)
369 : {
370 966 : GEN y = cgetg(5,t_PADIC);
371 966 : gel(y,4) = gen_0;
372 966 : gel(y,3) = gen_1;
373 966 : gel(y,2) = p;
374 966 : y[1] = evalvalp(e) | _evalprecp(0);
375 966 : return y;
376 : }
377 : /* O(pol_x(v)^e) */
378 : INLINE GEN
379 145250 : zeroser(long v, long e)
380 : {
381 145250 : GEN x = cgetg(2, t_SER);
382 145250 : x[1] = evalvalp(e) | evalvarn(v); return x;
383 : }
384 : INLINE int
385 5492983 : ser_isexactzero(GEN x)
386 : {
387 5492983 : if (!signe(x)) switch(lg(x))
388 : {
389 137620 : case 2: return 1;
390 896 : case 3: return isexactzero(gel(x,2));
391 : }
392 5354467 : return 0;
393 : }
394 : /* 0 * pol_x(v) */
395 : INLINE GEN
396 15564457 : zeropol(long v) { return pol_0(v); }
397 : /* vector(n) */
398 : INLINE GEN
399 39676432 : zerocol(long n)
400 : {
401 39676432 : GEN y = cgetg(n+1,t_COL);
402 39676561 : long i; for (i=1; i<=n; i++) gel(y,i) = gen_0;
403 39676561 : return y;
404 : }
405 : /* vectorv(n) */
406 : INLINE GEN
407 25005793 : zerovec(long n)
408 : {
409 25005793 : GEN y = cgetg(n+1,t_VEC);
410 25005792 : long i; for (i=1; i<=n; i++) gel(y,i) = gen_0;
411 25005792 : return y;
412 : }
413 : /* matrix(m, n) */
414 : INLINE GEN
415 24854 : zeromat(long m, long n)
416 : {
417 24854 : GEN y = cgetg(n+1,t_MAT);
418 24854 : GEN v = zerocol(m);
419 24854 : long i; for (i=1; i<=n; i++) gel(y,i) = v;
420 24854 : return y;
421 : }
422 : /* = zero_zx, sv is a evalvarn()*/
423 : INLINE GEN
424 947767 : zero_Flx(long sv) { return pol0_Flx(sv); }
425 : INLINE GEN
426 35017312 : zero_Flv(long n)
427 : {
428 35017312 : GEN y = cgetg(n+1,t_VECSMALL);
429 35019103 : long i; for (i=1; i<=n; i++) y[i] = 0;
430 35019103 : return y;
431 : }
432 : /* matrix(m, n) */
433 : INLINE GEN
434 1227219 : zero_Flm(long m, long n)
435 : {
436 1227219 : GEN y = cgetg(n+1,t_MAT);
437 1227211 : GEN v = zero_Flv(m);
438 1227220 : long i; for (i=1; i<=n; i++) gel(y,i) = v;
439 1227220 : return y;
440 : }
441 : /* matrix(m, n) */
442 : INLINE GEN
443 111812 : zero_Flm_copy(long m, long n)
444 : {
445 111812 : GEN y = cgetg(n+1,t_MAT);
446 111813 : long i; for (i=1; i<=n; i++) gel(y,i) = zero_Flv(m);
447 111814 : return y;
448 : }
449 :
450 : INLINE GEN
451 960759 : zero_F2v(long m)
452 : {
453 960759 : long l = nbits2nlong(m);
454 960759 : GEN v = zero_Flv(l+1);
455 960759 : v[1] = m;
456 960759 : return v;
457 : }
458 :
459 : INLINE GEN
460 0 : zero_F2m(long m, long n)
461 : {
462 : long i;
463 0 : GEN M = cgetg(n+1, t_MAT);
464 0 : GEN v = zero_F2v(m);
465 0 : for (i = 1; i <= n; i++)
466 0 : gel(M,i) = v;
467 0 : return M;
468 : }
469 :
470 :
471 : INLINE GEN
472 309326 : zero_F2m_copy(long m, long n)
473 : {
474 : long i;
475 309326 : GEN M = cgetg(n+1, t_MAT);
476 960481 : for (i = 1; i <= n; i++)
477 651155 : gel(M,i)= zero_F2v(m);
478 309326 : return M;
479 : }
480 :
481 : /* matrix(m, n) */
482 : INLINE GEN
483 5107467 : zeromatcopy(long m, long n)
484 : {
485 5107467 : GEN y = cgetg(n+1,t_MAT);
486 5107467 : long i; for (i=1; i<=n; i++) gel(y,i) = zerocol(m);
487 5107467 : return y;
488 : }
489 :
490 : INLINE GEN
491 17626 : zerovec_block(long len)
492 : {
493 : long i;
494 17626 : GEN blk = cgetg_block(len + 1, t_VEC);
495 581658 : for (i = 1; i <= len; ++i)
496 564032 : gel(blk, i) = gen_0;
497 17626 : return blk;
498 : }
499 :
500 : /* i-th vector in the standard basis */
501 : INLINE GEN
502 1528892 : col_ei(long n, long i) { GEN e = zerocol(n); gel(e,i) = gen_1; return e; }
503 : INLINE GEN
504 360721 : vec_ei(long n, long i) { GEN e = zerovec(n); gel(e,i) = gen_1; return e; }
505 : INLINE GEN
506 42 : F2v_ei(long n, long i) { GEN e = zero_F2v(n); F2v_set(e,i); return e; }
507 : INLINE GEN
508 72688 : vecsmall_ei(long n, long i) { GEN e = zero_zv(n); e[i] = 1; return e; }
509 : INLINE GEN
510 682615 : Rg_col_ei(GEN x, long n, long i) { GEN e = zerocol(n); gel(e,i) = x; return e; }
511 :
512 : INLINE GEN
513 12893434 : shallowcopy(GEN x)
514 12893434 : { return typ(x) == t_MAT ? RgM_shallowcopy(x): leafcopy(x); }
515 :
516 : /* routines for naive growarrays */
517 : INLINE GEN
518 12373180 : vectrunc_init(long l)
519 : {
520 12373180 : GEN z = new_chunk(l);
521 12373276 : z[0] = evaltyp(t_VEC) | _evallg(1); return z;
522 : }
523 : INLINE GEN
524 347543 : coltrunc_init(long l)
525 : {
526 347543 : GEN z = new_chunk(l);
527 347543 : z[0] = evaltyp(t_COL) | _evallg(1); return z;
528 : }
529 : INLINE void
530 266531018 : lg_increase(GEN x) { x[0]++; }
531 : INLINE void
532 51107419 : vectrunc_append(GEN x, GEN t) { gel(x, lg(x)) = t; lg_increase(x); }
533 : INLINE void
534 10416 : vectrunc_append_batch(GEN x, GEN y)
535 : {
536 10416 : long i, l = lg(x), ly = lg(y);
537 10416 : GEN z = x + l-1;
538 10416 : for (i = 1; i < ly; i++) gel(z,i) = gel(y,i);
539 10416 : setlg(x, l+ly-1);
540 10416 : }
541 : INLINE GEN
542 88192910 : vecsmalltrunc_init(long l)
543 : {
544 88192910 : GEN z = new_chunk(l);
545 88192910 : z[0] = evaltyp(t_VECSMALL) | _evallg(1); return z;
546 : }
547 : INLINE void
548 33619862 : vecsmalltrunc_append(GEN x, long t) { x[ lg(x) ] = t; lg_increase(x); }
549 :
550 : /*******************************************************************/
551 : /* */
552 : /* STRING HASH FUNCTIONS */
553 : /* */
554 : /*******************************************************************/
555 : INLINE ulong
556 2098347 : hash_str(const char *str)
557 : {
558 2098347 : ulong hash = 5381UL, c;
559 23023945 : while ( (c = (ulong)*str++) )
560 18827251 : hash = ((hash << 5) + hash) + c; /* hash * 33 + c */
561 2098347 : return hash;
562 : }
563 : INLINE ulong
564 9980621 : hash_str_len(const char *str, long len)
565 : {
566 9980621 : ulong hash = 5381UL;
567 : long i;
568 75479968 : for (i = 0; i < len; i++)
569 : {
570 65499347 : ulong c = (ulong)*str++;
571 65499347 : hash = ((hash << 5) + hash) + c; /* hash * 33 + c */
572 : }
573 9980621 : return hash;
574 : }
575 :
576 : /*******************************************************************/
577 : /* */
578 : /* VEC / COL / VECSMALL */
579 : /* */
580 : /*******************************************************************/
581 : /* shallow*/
582 : INLINE GEN
583 0 : vec_shorten(GEN v, long n)
584 : {
585 : long i;
586 0 : GEN V = cgetg(n+1,t_VEC);
587 0 : for(i=1;i<=n;i++) gel(V,i) = gel(v,i);
588 0 : return V;
589 : }
590 : /* shallow*/
591 : INLINE GEN
592 13738 : vec_lengthen(GEN v, long n)
593 : {
594 : long i;
595 13738 : long l=lg(v);
596 13738 : GEN V = cgetg(n+1,t_VEC);
597 13738 : for(i=1;i<l;i++) gel(V,i) = gel(v,i);
598 13738 : return V;
599 : }
600 : /* shallow*/
601 : INLINE GEN
602 97600 : vec_append(GEN V, GEN s)
603 : {
604 97600 : long i, l2 = lg(V);
605 97600 : GEN res = cgetg(l2+1, typ(V));
606 97600 : for (i = 1; i < l2; ++i) gel(res, i) = gel(V,i);
607 97600 : gel(res,l2) = s; return res;
608 : }
609 : /* shallow*/
610 : INLINE GEN
611 40838 : vec_prepend(GEN v, GEN s)
612 : {
613 40838 : long i, l = lg(v);
614 40838 : GEN w = cgetg(l+1, typ(v));
615 40838 : gel(w,1) = s;
616 40838 : for (i = 2; i <= l; ++i) gel(w,i) = gel(v,i-1);
617 40838 : return w;
618 : }
619 : /* shallow*/
620 : INLINE GEN
621 0 : vec_setconst(GEN v, GEN x)
622 : {
623 0 : long i, l = lg(v);
624 0 : for (i = 1; i < l; i++) gel(v,i) = x;
625 0 : return v;
626 : }
627 : INLINE GEN
628 42282 : vecsmall_shorten(GEN v, long n)
629 : {
630 : long i;
631 42282 : GEN V = cgetg(n+1,t_VECSMALL);
632 42284 : for(i=1;i<=n;i++) V[i] = v[i];
633 42284 : return V;
634 : }
635 : INLINE GEN
636 0 : vecsmall_lengthen(GEN v, long n)
637 : {
638 0 : long i, l = lg(v);
639 0 : GEN V = cgetg(n+1,t_VECSMALL);
640 0 : for(i=1;i<l;i++) V[i] = v[i];
641 0 : return V;
642 : }
643 :
644 : INLINE GEN
645 3324536 : vec_to_vecsmall(GEN x)
646 3324536 : { pari_APPLY_long(itos(gel(x,i))) }
647 : INLINE GEN
648 138313 : vecsmall_to_vec(GEN x)
649 138313 : { pari_APPLY_type(t_VEC, stoi(x[i])) }
650 : INLINE GEN
651 742 : vecsmall_to_vec_inplace(GEN z)
652 : {
653 742 : long i, l = lg(z);
654 742 : for (i=1; i<l; i++) gel(z,i) = stoi(z[i]);
655 742 : settyp(z, t_VEC); return z;
656 : }
657 : INLINE GEN
658 5347745 : vecsmall_to_col(GEN x)
659 5347745 : { pari_APPLY_type(t_COL, stoi(x[i])) }
660 :
661 : INLINE int
662 8430513 : vecsmall_lexcmp(GEN x, GEN y)
663 : {
664 : long lx,ly,l,i;
665 8430513 : lx = lg(x);
666 8430513 : ly = lg(y); l = minss(lx,ly);
667 41367315 : for (i=1; i<l; i++)
668 39277645 : if (x[i] != y[i]) return x[i]<y[i]? -1: 1;
669 2089670 : if (lx == ly) return 0;
670 30578 : return (lx < ly)? -1 : 1;
671 : }
672 :
673 : INLINE int
674 85249612 : vecsmall_prefixcmp(GEN x, GEN y)
675 : {
676 85249612 : long i, lx = lg(x), ly = lg(y), l = minss(lx,ly);
677 394179177 : for (i=1; i<l; i++)
678 374535735 : if (x[i] != y[i]) return x[i]<y[i]? -1: 1;
679 19643442 : return 0;
680 : }
681 :
682 : /*Can be used on t_VEC, but coeffs not gcopy-ed*/
683 : INLINE GEN
684 21847 : vecsmall_prepend(GEN V, long s)
685 : {
686 21847 : long i, l2 = lg(V);
687 21847 : GEN res = cgetg(l2+1, typ(V));
688 21847 : res[1] = s;
689 21847 : for (i = 2; i <= l2; ++i) res[i] = V[i - 1];
690 21847 : return res;
691 : }
692 :
693 : INLINE GEN
694 3137852 : vecsmall_append(GEN V, long s)
695 : {
696 3137852 : long i, l2 = lg(V);
697 3137852 : GEN res = cgetg(l2+1, t_VECSMALL);
698 3137852 : for (i = 1; i < l2; ++i) res[i] = V[i];
699 3137852 : res[l2] = s; return res;
700 : }
701 :
702 : INLINE GEN
703 921184 : vecsmall_concat(GEN u, GEN v)
704 : {
705 921184 : long i, l1 = lg(u)-1, l2 = lg(v)-1;
706 921184 : GEN res = cgetg(l1+l2+1, t_VECSMALL);
707 921184 : for (i = 1; i <= l1; ++i) res[i] = u[i];
708 921184 : for (i = 1; i <= l2; ++i) res[i+l1] = v[i];
709 921184 : return res;
710 : }
711 :
712 : /* return the number of indices where u and v are equal */
713 : INLINE long
714 0 : vecsmall_coincidence(GEN u, GEN v)
715 : {
716 0 : long i, s = 0, l = minss(lg(u),lg(v));
717 0 : for(i=1; i<l; i++)
718 0 : if(u[i] == v[i]) s++;
719 0 : return s;
720 : }
721 :
722 : /* returns the first index i<=n such that x=v[i] if it exists, 0 otherwise */
723 : INLINE long
724 0 : vecsmall_isin(GEN v, long x)
725 : {
726 0 : long i, l = lg(v);
727 0 : for (i = 1; i < l; i++)
728 0 : if (v[i] == x) return i;
729 0 : return 0;
730 : }
731 :
732 : INLINE long
733 84 : vecsmall_pack(GEN V, long base, long mod)
734 : {
735 84 : long i, s = 0;
736 84 : for(i=1; i<lg(V); i++) s = (base*s + V[i]) % mod;
737 84 : return s;
738 : }
739 :
740 : INLINE long
741 14 : vecsmall_indexmax(GEN x)
742 : {
743 14 : long i, i0 = 1, t = x[1], lx = lg(x);
744 56 : for (i=2; i<lx; i++)
745 42 : if (x[i] > t) t = x[i0=i];
746 14 : return i0;
747 : }
748 :
749 : INLINE long
750 242943 : vecsmall_max(GEN x)
751 : {
752 242943 : long i, t = x[1], lx = lg(x);
753 821724 : for (i=2; i<lx; i++)
754 578781 : if (x[i] > t) t = x[i];
755 242943 : return t;
756 : }
757 :
758 : INLINE long
759 14 : vecsmall_indexmin(GEN x)
760 : {
761 14 : long i, i0 = 1, t = x[1], lx =lg(x);
762 56 : for (i=2; i<lx; i++)
763 42 : if (x[i] < t) t = x[i0=i];
764 14 : return i0;
765 : }
766 :
767 : INLINE long
768 1421 : vecsmall_min(GEN x)
769 : {
770 1421 : long i, t = x[1], lx =lg(x);
771 9947 : for (i=2; i<lx; i++)
772 8526 : if (x[i] < t) t = x[i];
773 1421 : return t;
774 : }
775 :
776 : INLINE int
777 5322133 : ZV_isscalar(GEN x)
778 : {
779 5322133 : long l = lg(x);
780 16338369 : while (--l > 1)
781 9927104 : if (signe(gel(x, l))) return 0;
782 1089132 : return 1;
783 : }
784 : INLINE int
785 22431723 : QV_isscalar(GEN x)
786 : {
787 22431723 : long lx = lg(x),i;
788 24743158 : for (i=2; i<lx; i++)
789 24071127 : if (!isintzero(gel(x, i))) return 0;
790 672031 : return 1;
791 : }
792 : INLINE int
793 7296 : RgV_isscalar(GEN x)
794 : {
795 7296 : long lx = lg(x),i;
796 12168 : for (i=2; i<lx; i++)
797 10339 : if (!gequal0(gel(x, i))) return 0;
798 1829 : return 1;
799 : }
800 : INLINE int
801 0 : RgX_isscalar(GEN x)
802 : {
803 : long i;
804 0 : for (i=lg(x)-1; i>2; i--)
805 0 : if (!gequal0(gel(x, i))) return 0;
806 0 : return 1;
807 : }
808 : INLINE long
809 28953609 : RgX_equal_var(GEN x, GEN y) { return varn(x) == varn(y) && RgX_equal(x,y); }
810 :
811 : INLINE int
812 7805 : RgX_is_rational(GEN x)
813 : {
814 : long i;
815 42166 : for (i = lg(x)-1; i > 1; i--)
816 39051 : if (!is_rational_t(typ(gel(x,i)))) return 0;
817 3115 : return 1;
818 : }
819 : INLINE int
820 5043174 : RgX_is_ZX(GEN x)
821 : {
822 : long i;
823 24931171 : for (i = lg(x)-1; i > 1; i--)
824 19940543 : if (typ(gel(x,i)) != t_INT) return 0;
825 4990628 : return 1;
826 : }
827 : INLINE int
828 256032 : RgX_is_QX(GEN x)
829 : {
830 256032 : long k = lg(x)-1;
831 946060 : for ( ; k>1; k--)
832 690301 : if (!is_rational_t(typ(gel(x,k)))) return 0;
833 255759 : return 1;
834 : }
835 : INLINE int
836 2353114 : RgX_is_monomial(GEN x)
837 : {
838 : long i;
839 2353114 : if (!signe(x)) return 0;
840 5868946 : for (i=lg(x)-2; i>1; i--)
841 3569518 : if (!isexactzero(gel(x,i))) return 0;
842 2299428 : return 1;
843 : }
844 : INLINE int
845 27504315 : RgV_is_ZV(GEN x)
846 : {
847 : long i;
848 112676636 : for (i = lg(x)-1; i > 0; i--)
849 85175583 : if (typ(gel(x,i)) != t_INT) return 0;
850 27501053 : return 1;
851 : }
852 : INLINE int
853 23653 : RgV_is_QV(GEN x)
854 : {
855 : long i;
856 106596 : for (i = lg(x)-1; i > 0; i--)
857 84651 : if (!is_rational_t(typ(gel(x,i)))) return 0;
858 21945 : return 1;
859 : }
860 : INLINE long
861 24241 : RgV_isin_i(GEN v, GEN x, long n)
862 : {
863 : long i;
864 513345 : for (i = 1; i <= n; i++)
865 513086 : if (gequal(gel(v,i), x)) return i;
866 259 : return 0;
867 : }
868 : INLINE long
869 24241 : RgV_isin(GEN v, GEN x) { return RgV_isin_i(v, x, lg(v)-1); }
870 :
871 : /********************************************************************/
872 : /** **/
873 : /** Dynamic arrays implementation **/
874 : /** **/
875 : /********************************************************************/
876 : INLINE void **
877 470271181 : pari_stack_base(pari_stack *s) { return s->data; }
878 :
879 : INLINE void
880 3896271 : pari_stack_init(pari_stack *s, size_t size, void **data)
881 : {
882 3896271 : s->data = data;
883 3896271 : *data = NULL;
884 3896271 : s->n = 0;
885 3896271 : s->alloc = 0;
886 3896271 : s->size = size;
887 3896271 : }
888 :
889 : INLINE void
890 466694441 : pari_stack_alloc(pari_stack *s, long nb)
891 : {
892 466694441 : void **sdat = pari_stack_base(s);
893 466694608 : long alloc = s->alloc;
894 466694608 : if (s->n+nb <= alloc) return;
895 1534039 : if (!alloc)
896 1472343 : alloc = nb;
897 : else
898 : {
899 61696 : while (s->n+nb > alloc) alloc <<= 1;
900 : }
901 1534039 : *sdat = pari_realloc(*sdat,alloc*s->size);
902 1535218 : s->alloc = alloc;
903 : }
904 :
905 : INLINE long
906 382785736 : pari_stack_new(pari_stack *s) { pari_stack_alloc(s, 1); return s->n++; }
907 :
908 : INLINE void
909 3575928 : pari_stack_delete(pari_stack *s)
910 : {
911 3575928 : void **sdat = pari_stack_base(s);
912 3568349 : if (*sdat) pari_free(*sdat);
913 3591003 : }
914 :
915 : INLINE void
916 5018 : pari_stack_pushp(pari_stack *s, void *u)
917 : {
918 5018 : long n = pari_stack_new(s);
919 5018 : void **sdat =(void**) *pari_stack_base(s);
920 5018 : sdat[n] = u;
921 5018 : }
922 :
923 : /*******************************************************************/
924 : /* */
925 : /* EXTRACT */
926 : /* */
927 : /*******************************************************************/
928 : INLINE GEN
929 364857012 : vecslice(GEN A, long y1, long y2)
930 : {
931 364857012 : long i,lB = y2 - y1 + 2;
932 364857012 : GEN B = cgetg(lB, typ(A));
933 364886826 : for (i=1; i<lB; i++) B[i] = A[y1-1+i];
934 364886826 : return B;
935 : }
936 : INLINE GEN
937 1044696 : vecslicepermute(GEN A, GEN p, long y1, long y2)
938 : {
939 1044696 : long i,lB = y2 - y1 + 2;
940 1044696 : GEN B = cgetg(lB, typ(A));
941 1044694 : for (i=1; i<lB; i++) B[i] = A[p[y1-1+i]];
942 1044694 : return B;
943 : }
944 : /* rowslice(rowpermute(A,p), x1, x2) */
945 : INLINE GEN
946 42852 : rowslicepermute(GEN x, GEN p, long j1, long j2)
947 42852 : { pari_APPLY_same(vecslicepermute(gel(x,i),p,j1,j2)) }
948 :
949 : INLINE GEN
950 32157383 : rowslice(GEN x, long j1, long j2)
951 32157383 : { pari_APPLY_same(vecslice(gel(x,i), j1, j2)) }
952 :
953 : INLINE GEN
954 5326858 : matslice(GEN A, long x1, long x2, long y1, long y2)
955 5326858 : { return rowslice(vecslice(A, y1, y2), x1, x2); }
956 :
957 : /* shallow, remove coeff of index j */
958 : INLINE GEN
959 133 : rowsplice(GEN x, long j)
960 133 : { pari_APPLY_same(vecsplice(gel(x,i), j)) }
961 :
962 : /* shallow, remove coeff of index j */
963 : INLINE GEN
964 268719 : vecsplice(GEN a, long j)
965 : {
966 268719 : long i, k, l = lg(a);
967 : GEN b;
968 268719 : if (l == 1) pari_err(e_MISC, "incorrect component in vecsplice");
969 268719 : b = cgetg(l-1, typ(a));
970 1242105 : for (i = k = 1; i < l; i++)
971 973386 : if (i != j) gel(b, k++) = gel(a,i);
972 268719 : return b;
973 : }
974 : /* shallow */
975 : INLINE GEN
976 1036 : RgM_minor(GEN a, long i, long j)
977 : {
978 1036 : GEN b = vecsplice(a, j);
979 1036 : long k, l = lg(b);
980 1036 : for (k = 1; k < l; k++) gel(b,k) = vecsplice(gel(b,k), i);
981 1036 : return b;
982 : }
983 :
984 : /* A[x0,] */
985 : INLINE GEN
986 390581 : row(GEN x, long j)
987 390581 : { pari_APPLY_type(t_VEC, gcoeff(x, j, i)) }
988 : INLINE GEN
989 4486661 : Flm_row(GEN x, long j)
990 4486661 : { pari_APPLY_ulong((ulong)coeff(x, j, i)) }
991 : /* A[x0,] */
992 : INLINE GEN
993 204834 : rowcopy(GEN x, long j)
994 204834 : { pari_APPLY_type(t_VEC, gcopy(gcoeff(x, j, i))) }
995 : /* A[x0, x1..x2] */
996 : INLINE GEN
997 861 : row_i(GEN A, long x0, long x1, long x2)
998 : {
999 861 : long i, lB = x2 - x1 + 2;
1000 861 : GEN B = cgetg(lB, t_VEC);
1001 861 : for (i=x1; i<=x2; i++) gel(B, i) = gcoeff(A, x0, i);
1002 861 : return B;
1003 : }
1004 :
1005 : INLINE GEN
1006 5941622 : vecreverse(GEN A)
1007 : {
1008 : long i, l;
1009 5941622 : GEN B = cgetg_copy(A, &l);
1010 5941622 : for (i=1; i<l; i++) gel(B, i) = gel(A, l-i);
1011 5941622 : return B;
1012 : }
1013 :
1014 : INLINE GEN
1015 546 : vecsmall_reverse(GEN A)
1016 : {
1017 : long i, l;
1018 546 : GEN B = cgetg_copy(A, &l);
1019 546 : for (i=1; i<l; i++) B[i] = A[l-i];
1020 546 : return B;
1021 : }
1022 :
1023 : INLINE void
1024 414 : vecreverse_inplace(GEN y)
1025 : {
1026 414 : long l = lg(y), lim = l>>1, i;
1027 1501 : for (i = 1; i <= lim; i++)
1028 : {
1029 1087 : GEN z = gel(y,i);
1030 1087 : gel(y,i) = gel(y,l-i);
1031 1087 : gel(y,l-i) = z;
1032 : }
1033 414 : }
1034 :
1035 : INLINE GEN
1036 55166278 : vecsmallpermute(GEN A, GEN p) { return perm_mul(A, p); }
1037 :
1038 : INLINE GEN
1039 6785892 : vecpermute(GEN A, GEN x)
1040 6785892 : { pari_APPLY_type(typ(A), gel(A, x[i])) }
1041 :
1042 : INLINE GEN
1043 3897695 : rowpermute(GEN x, GEN p)
1044 3897695 : { pari_APPLY_same(typ(gel(x,i)) == t_VECSMALL ? vecsmallpermute(gel(x, i), p)
1045 : : vecpermute(gel(x, i), p))
1046 : }
1047 : /*******************************************************************/
1048 : /* */
1049 : /* PERMUTATIONS */
1050 : /* */
1051 : /*******************************************************************/
1052 : INLINE GEN
1053 878906 : identity_zv(long n)
1054 : {
1055 878906 : GEN v = cgetg(n+1, t_VECSMALL);
1056 : long i;
1057 878905 : for (i = 1; i <= n; i++) v[i] = i;
1058 878905 : return v;
1059 : }
1060 : INLINE GEN
1061 3563 : identity_ZV(long n)
1062 : {
1063 3563 : GEN v = cgetg(n+1, t_VEC);
1064 : long i;
1065 3563 : for (i = 1; i <= n; i++) gel(v,i) = utoipos(i);
1066 3563 : return v;
1067 : }
1068 : /* identity permutation */
1069 : INLINE GEN
1070 878409 : identity_perm(long n) { return identity_zv(n); }
1071 :
1072 : /* assume d <= n */
1073 : INLINE GEN
1074 98483 : cyclic_perm(long n, long d)
1075 : {
1076 98483 : GEN perm = cgetg(n+1, t_VECSMALL);
1077 : long i;
1078 98483 : for (i = 1; i <= n-d; i++) perm[i] = i+d;
1079 98483 : for ( ; i <= n; i++) perm[i] = i-n+d;
1080 98483 : return perm;
1081 : }
1082 :
1083 : /* Multiply (compose) two permutations */
1084 : INLINE GEN
1085 56513679 : perm_mul(GEN s, GEN x)
1086 56513679 : { pari_APPLY_long(s[x[i]]) }
1087 :
1088 : /* Compute the inverse (reciprocal) of a permutation. */
1089 : INLINE GEN
1090 1325071 : perm_inv(GEN x)
1091 : {
1092 : long i, lx;
1093 1325071 : GEN y = cgetg_copy(x, &lx);
1094 1325071 : for (i=1; i<lx; i++) y[ x[i] ] = i;
1095 1325071 : return y;
1096 : }
1097 : /* Return s*t*s^-1 */
1098 : INLINE GEN
1099 417109 : perm_conj(GEN s, GEN t)
1100 : {
1101 : long i, l;
1102 417109 : GEN v = cgetg_copy(s, &l);
1103 417109 : for (i = 1; i < l; i++) v[ s[i] ] = s[ t[i] ];
1104 417109 : return v;
1105 : }
1106 :
1107 : /*********************************************************************/
1108 : /* MALLOC/FREE WRAPPERS */
1109 : /*********************************************************************/
1110 : #define BLOCK_SIGALRM_START \
1111 : { \
1112 : int block=PARI_SIGINT_block; \
1113 : PARI_SIGINT_block = 2; \
1114 : MT_SIGINT_BLOCK(block);
1115 :
1116 : #define BLOCK_SIGINT_START \
1117 : { \
1118 : int block=PARI_SIGINT_block; \
1119 : PARI_SIGINT_block = 1; \
1120 : MT_SIGINT_BLOCK(block);
1121 :
1122 : #define BLOCK_SIGINT_END \
1123 : PARI_SIGINT_block = block; \
1124 : MT_SIGINT_UNBLOCK(block); \
1125 : if (!block && PARI_SIGINT_pending) \
1126 : { \
1127 : int sig = PARI_SIGINT_pending; \
1128 : PARI_SIGINT_pending = 0; \
1129 : raise(sig); \
1130 : } \
1131 : }
1132 :
1133 : INLINE void
1134 101668779 : pari_free(void *pointer)
1135 : {
1136 101668779 : BLOCK_SIGINT_START;
1137 101709688 : free(pointer);
1138 101709688 : BLOCK_SIGINT_END;
1139 101702051 : }
1140 : INLINE void*
1141 311965947 : pari_malloc(size_t size)
1142 : {
1143 311965947 : if (size)
1144 : {
1145 : char *tmp;
1146 311965947 : BLOCK_SIGINT_START;
1147 311969270 : tmp = (char*)malloc(size);
1148 311969270 : BLOCK_SIGINT_END;
1149 311968612 : if (!tmp) pari_err(e_MEM);
1150 311968612 : return tmp;
1151 : }
1152 0 : return NULL;
1153 : }
1154 : INLINE void*
1155 1549657 : pari_realloc(void *pointer, size_t size)
1156 : {
1157 : char *tmp;
1158 :
1159 1549657 : BLOCK_SIGINT_START;
1160 1552783 : if (!pointer) tmp = (char *) malloc(size);
1161 65541 : else tmp = (char *) realloc(pointer,size);
1162 1552783 : BLOCK_SIGINT_END;
1163 1551483 : if (!tmp) pari_err(e_MEM);
1164 1551483 : return tmp;
1165 : }
1166 : INLINE void*
1167 38674 : pari_calloc(size_t size)
1168 : {
1169 38674 : void *t = pari_malloc(size);
1170 38674 : memset(t, 0, size); return t;
1171 : }
1172 : INLINE GEN
1173 6601 : cgetalloc(long t, size_t l)
1174 : { /* evallg may raise e_OVERFLOW, which would leak x */
1175 6601 : ulong x0 = evaltyp(t) | evallg(l);
1176 6601 : GEN x = (GEN)pari_malloc(l * sizeof(long));
1177 6601 : x[0] = x0; return x;
1178 : }
1179 :
1180 : /*******************************************************************/
1181 : /* */
1182 : /* GARBAGE COLLECTION */
1183 : /* */
1184 : /*******************************************************************/
1185 : /* copy integer x as if we had set_avma(av) */
1186 : INLINE GEN
1187 4217632619 : icopy_avma(GEN x, pari_sp av)
1188 : {
1189 4217632619 : long i = lgefint(x), lx = i;
1190 4217632619 : GEN y = ((GEN)av) - i;
1191 4217632619 : while (--i > 0) y[i] = x[i];
1192 4217632619 : y[0] = evaltyp(t_INT)|evallg(lx);
1193 4217156449 : return y;
1194 : }
1195 : /* copy leaf x as if we had set_avma(av) */
1196 : INLINE GEN
1197 202586796 : leafcopy_avma(GEN x, pari_sp av)
1198 : {
1199 202586796 : long i = lg(x);
1200 202586796 : GEN y = ((GEN)av) - i;
1201 202586796 : while (--i > 0) y[i] = x[i];
1202 202586796 : y[0] = x[0] & (~CLONEBIT);
1203 202586796 : return y;
1204 : }
1205 : INLINE GEN
1206 620355763 : gerepileuptoleaf(pari_sp av, GEN x)
1207 : {
1208 : long lx;
1209 : GEN q;
1210 :
1211 620355763 : if (!isonstack(x) || (GEN)av<=x) return gc_const(av,x);
1212 620141720 : lx = lg(x);
1213 620141720 : q = ((GEN)av) - lx;
1214 620141720 : set_avma((pari_sp)q);
1215 621217526 : while (--lx >= 0) q[lx] = x[lx];
1216 621217526 : return q;
1217 : }
1218 : INLINE GEN
1219 1588861254 : gerepileuptoint(pari_sp av, GEN x)
1220 : {
1221 1588861254 : if (!isonstack(x) || (GEN)av<=x) return gc_const(av,x);
1222 1365074052 : set_avma((pari_sp)icopy_avma(x, av));
1223 1366783470 : return (GEN)avma;
1224 : }
1225 : INLINE GEN
1226 792634664 : gerepileupto(pari_sp av, GEN x)
1227 : {
1228 792634664 : if (!isonstack(x) || (GEN)av<=x) return gc_const(av,x);
1229 708600622 : switch(typ(x))
1230 : { /* non-default = !is_recursive_t(tq) */
1231 216804528 : case t_INT: return gerepileuptoint(av, x);
1232 : case t_REAL:
1233 : case t_STR:
1234 127333034 : case t_VECSMALL: return gerepileuptoleaf(av,x);
1235 : default:
1236 : /* NB: x+i --> ((long)x) + i*sizeof(long) */
1237 364463060 : return gerepile(av, (pari_sp) (x+lg(x)), x);
1238 : }
1239 : }
1240 : INLINE double
1241 2891654 : gc_double(pari_sp av, double d) { set_avma(av); return d; }
1242 : INLINE long
1243 115943159 : gc_long(pari_sp av, long s) { set_avma(av); return s; }
1244 : INLINE ulong
1245 14067740 : gc_ulong(pari_sp av, ulong s) { set_avma(av); return s; }
1246 : INLINE int
1247 20432806 : gc_bool(pari_sp av, int s) { set_avma(av); return s; }
1248 : INLINE int
1249 3383411 : gc_int(pari_sp av, int s) { set_avma(av); return s; }
1250 : INLINE GEN
1251 1744892 : gc_NULL(pari_sp av) { set_avma(av); return NULL; }
1252 : INLINE GEN
1253 374067925 : gc_const(pari_sp av, GEN x) { set_avma(av); return x; }
1254 :
1255 : /* gerepileupto(av, gcopy(x)) */
1256 : INLINE GEN
1257 66453263 : gerepilecopy(pari_sp av, GEN x)
1258 : {
1259 66453263 : if (is_recursive_t(typ(x)))
1260 : {
1261 61695591 : GENbin *p = copy_bin(x);
1262 61696033 : set_avma(av); return bin_copy(p);
1263 : }
1264 : else
1265 : {
1266 4757660 : set_avma(av);
1267 4757661 : if (x < (GEN)av) {
1268 3269449 : if (x < (GEN)pari_mainstack->bot) new_chunk(lg(x));
1269 3269449 : x = leafcopy_avma(x, av);
1270 3269448 : set_avma((pari_sp)x);
1271 : } else
1272 1488212 : x = leafcopy(x);
1273 4757657 : return x;
1274 : }
1275 : }
1276 :
1277 : INLINE void
1278 29630818 : guncloneNULL(GEN x) { if (x) gunclone(x); }
1279 : INLINE void
1280 292936 : guncloneNULL_deep(GEN x) { if (x) gunclone_deep(x); }
1281 :
1282 : /* Takes an array of pointers to GENs, of length n. Copies all
1283 : * objects to contiguous locations and cleans up the stack between
1284 : * av and avma. */
1285 : INLINE void
1286 203785 : gerepilemany(pari_sp av, GEN* gptr[], int n)
1287 : {
1288 : int i;
1289 203785 : for (i=0; i<n; i++) *gptr[i] = (GEN)copy_bin(*gptr[i]);
1290 203785 : set_avma(av);
1291 203785 : for (i=0; i<n; i++) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1292 203785 : }
1293 :
1294 : INLINE void
1295 11781680 : gerepileall(pari_sp av, int n, ...)
1296 : {
1297 : int i;
1298 11781680 : va_list a; va_start(a, n);
1299 11781680 : if (n < 10)
1300 : {
1301 : GEN *gptr[10];
1302 34363598 : for (i=0; i<n; i++)
1303 22581851 : { gptr[i] = va_arg(a,GEN*); *gptr[i] = (GEN)copy_bin(*gptr[i]); }
1304 11781747 : set_avma(av);
1305 11781718 : for (--i; i>=0; i--) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1306 :
1307 : }
1308 : else
1309 : {
1310 0 : GEN **gptr = (GEN**) pari_malloc(n*sizeof(GEN*));
1311 0 : for (i=0; i<n; i++)
1312 0 : { gptr[i] = va_arg(a,GEN*); *gptr[i] = (GEN)copy_bin(*gptr[i]); }
1313 0 : set_avma(av);
1314 0 : for (--i; i>=0; i--) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1315 0 : pari_free(gptr);
1316 : }
1317 11781792 : va_end(a);
1318 11781792 : }
1319 :
1320 : INLINE void
1321 605310 : gerepilecoeffs(pari_sp av, GEN x, int n)
1322 : {
1323 : int i;
1324 605310 : for (i=0; i<n; i++) gel(x,i) = (GEN)copy_bin(gel(x,i));
1325 605310 : set_avma(av);
1326 605310 : for (i=0; i<n; i++) gel(x,i) = bin_copy((GENbin*)x[i]);
1327 605310 : }
1328 :
1329 : /* p from copy_bin. Copy p->x back to stack, then destroy p */
1330 : INLINE GEN
1331 92152715 : bin_copy(GENbin *p)
1332 : {
1333 : GEN x, y, base;
1334 : long dx, len;
1335 :
1336 92152715 : x = p->x; if (!x) { pari_free(p); return gen_0; }
1337 92145420 : len = p->len;
1338 92145420 : base= p->base; dx = x - base;
1339 92145420 : y = (GEN)memcpy((void*)new_chunk(len), (void*)GENbinbase(p), len*sizeof(long));
1340 92145337 : y += dx;
1341 92145337 : p->rebase(y, ((ulong)y-(ulong)x));
1342 92145345 : pari_free(p); return y;
1343 : }
1344 :
1345 : INLINE GEN
1346 184298112 : GENbinbase(GENbin *p) { return (GEN)(p + 1); }
1347 :
1348 : INLINE void
1349 68642358 : cgiv(GEN x)
1350 : {
1351 68642358 : pari_sp av = (pari_sp)(x+lg(x));
1352 68642358 : if (isonstack((GEN)av)) set_avma(av);
1353 68641976 : }
1354 :
1355 : INLINE void
1356 1505136 : killblock(GEN x) { gunclone(x); }
1357 :
1358 : INLINE int
1359 30747636 : is_universal_constant(GEN x) { return (x >= gen_0 && x <= ghalf); }
1360 :
1361 : /*******************************************************************/
1362 : /* */
1363 : /* CONVERSION / ASSIGNMENT */
1364 : /* */
1365 : /*******************************************************************/
1366 : /* z is a type which may be a t_COMPLEX component (not a t_QUAD) */
1367 : INLINE GEN
1368 4214347 : cxcompotor(GEN z, long prec)
1369 : {
1370 4214347 : switch(typ(z))
1371 : {
1372 2423205 : case t_INT: return itor(z, prec);
1373 136689 : case t_FRAC: return fractor(z, prec);
1374 1654453 : case t_REAL: return rtor(z, prec);
1375 0 : default: pari_err_TYPE("cxcompotor",z);
1376 : return NULL; /* LCOV_EXCL_LINE */
1377 : }
1378 : }
1379 : INLINE GEN
1380 2094293 : cxtofp(GEN x, long prec)
1381 2094293 : { retmkcomplex(cxcompotor(gel(x,1),prec), cxcompotor(gel(x,2),prec)); }
1382 :
1383 : INLINE GEN
1384 263018 : cxtoreal(GEN q)
1385 263018 : { return (typ(q) == t_COMPLEX && gequal0(gel(q,2)))? gel(q,1): q; }
1386 :
1387 : INLINE double
1388 31125789 : gtodouble(GEN x)
1389 : {
1390 31125789 : if (typ(x)!=t_REAL) {
1391 5633926 : pari_sp av = avma;
1392 5633926 : x = gtofp(x, DEFAULTPREC);
1393 5632974 : if (typ(x)!=t_REAL) pari_err_TYPE("gtodouble [t_REAL expected]", x);
1394 5632974 : set_avma(av);
1395 : }
1396 31124668 : return rtodbl(x);
1397 : }
1398 : INLINE long
1399 73456724 : gtos(GEN x) {
1400 73456724 : if (typ(x) != t_INT) pari_err_TYPE("gtos [integer expected]",x);
1401 73456717 : return itos(x);
1402 : }
1403 :
1404 : INLINE ulong
1405 88197 : gtou(GEN x) {
1406 88197 : if (typ(x) != t_INT || signe(x)<0)
1407 0 : pari_err_TYPE("gtou [integer >=0 expected]",x);
1408 88197 : return itou(x);
1409 : }
1410 :
1411 : INLINE GEN
1412 33358288 : absfrac(GEN x)
1413 : {
1414 33358288 : GEN y = cgetg(3, t_FRAC);
1415 33358288 : gel(y,1) = absi(gel(x,1));
1416 33358288 : gel(y,2) = icopy(gel(x,2)); return y;
1417 : }
1418 : INLINE GEN
1419 38314 : absfrac_shallow(GEN x)
1420 38314 : { return signe(gel(x,1))>0? x: mkfrac(negi(gel(x,1)), gel(x,2)); }
1421 : INLINE GEN
1422 10134690 : Q_abs(GEN x) { return (typ(x) == t_INT)? absi(x): absfrac(x); }
1423 : INLINE GEN
1424 142131 : Q_abs_shallow(GEN x)
1425 142131 : { return (typ(x) == t_INT)? absi_shallow(x): absfrac_shallow(x); }
1426 : INLINE GEN
1427 12712 : R_abs_shallow(GEN x)
1428 12712 : { return (typ(x) == t_FRAC)? absfrac_shallow(x): mpabs_shallow(x); }
1429 : INLINE GEN
1430 0 : R_abs(GEN x)
1431 0 : { return (typ(x) == t_FRAC)? absfrac(x): mpabs(x); }
1432 :
1433 : /* Force z to be of type real/complex with floating point components */
1434 : INLINE GEN
1435 35174625 : gtofp(GEN z, long prec)
1436 : {
1437 35174625 : switch(typ(z))
1438 : {
1439 22295098 : case t_INT: return itor(z, prec);
1440 4313266 : case t_FRAC: return fractor(z, prec);
1441 6712708 : case t_REAL: return rtor(z, prec);
1442 : case t_COMPLEX: {
1443 1853553 : GEN a = gel(z,1), b = gel(z,2);
1444 1853553 : if (isintzero(b)) return cxcompotor(a, prec);
1445 1853553 : if (isintzero(a)) {
1446 3511 : GEN y = cgetg(3, t_COMPLEX);
1447 3511 : b = cxcompotor(b, prec);
1448 3511 : gel(y,1) = real_0_bit(expo(b) - prec2nbits(prec));
1449 3511 : gel(y,2) = b; return y;
1450 : }
1451 1850042 : return cxtofp(z, prec);
1452 : }
1453 0 : case t_QUAD: return quadtofp(z, prec);
1454 0 : default: pari_err_TYPE("gtofp",z);
1455 : return NULL; /* LCOV_EXCL_LINE */
1456 : }
1457 : }
1458 : /* Force z to be of type real / int */
1459 : INLINE GEN
1460 22428 : gtomp(GEN z, long prec)
1461 : {
1462 22428 : switch(typ(z))
1463 : {
1464 42 : case t_INT: return z;
1465 22386 : case t_FRAC: return fractor(z, prec);
1466 0 : case t_REAL: return rtor(z, prec);
1467 0 : case t_QUAD: z = quadtofp(z, prec);
1468 0 : if (typ(z) == t_REAL) return z;
1469 0 : default: pari_err_TYPE("gtomp",z);
1470 : return NULL; /* LCOV_EXCL_LINE */
1471 : }
1472 : }
1473 :
1474 : INLINE GEN
1475 963222 : RgX_gtofp(GEN x, long prec)
1476 : {
1477 : long l;
1478 963222 : GEN y = cgetg_copy(x, &l);
1479 963222 : while (--l > 1) gel(y,l) = gtofp(gel(x,l), prec);
1480 963222 : y[1] = x[1]; return y;
1481 : }
1482 : INLINE GEN
1483 1261667 : RgC_gtofp(GEN x, long prec)
1484 1261667 : { pari_APPLY_type(t_COL, gtofp(gel(x,i), prec)) }
1485 :
1486 : INLINE GEN
1487 42 : RgV_gtofp(GEN x, long prec)
1488 42 : { pari_APPLY_type(t_VEC, gtofp(gel(x,i), prec)) }
1489 :
1490 : INLINE GEN
1491 139710 : RgM_gtofp(GEN x, long prec)
1492 139710 : { pari_APPLY_same(RgC_gtofp(gel(x,i), prec)) }
1493 :
1494 : INLINE GEN
1495 574 : RgC_gtomp(GEN x, long prec)
1496 574 : { pari_APPLY_type(t_COL, gtomp(gel(x,i), prec)) }
1497 :
1498 : INLINE GEN
1499 21 : RgM_gtomp(GEN x, long prec)
1500 21 : { pari_APPLY_same(RgC_gtomp(gel(x,i), prec)) }
1501 :
1502 : INLINE GEN
1503 10528 : RgX_fpnorml2(GEN x, long prec)
1504 : {
1505 10528 : pari_sp av = avma;
1506 10528 : return gerepileupto(av, gnorml2(RgX_gtofp(x, prec)));
1507 : }
1508 : INLINE GEN
1509 227048 : RgC_fpnorml2(GEN x, long prec)
1510 : {
1511 227048 : pari_sp av = avma;
1512 227048 : return gerepileupto(av, gnorml2(RgC_gtofp(x, prec)));
1513 : }
1514 : INLINE GEN
1515 4802 : RgM_fpnorml2(GEN x, long prec)
1516 : {
1517 4802 : pari_sp av = avma;
1518 4802 : return gerepileupto(av, gnorml2(RgM_gtofp(x, prec)));
1519 : }
1520 :
1521 : /* y a t_REAL */
1522 : INLINE void
1523 216244 : affgr(GEN x, GEN y)
1524 : {
1525 : pari_sp av;
1526 216244 : switch(typ(x)) {
1527 5992 : case t_INT: affir(x,y); break;
1528 210252 : case t_REAL: affrr(x,y); break;
1529 0 : case t_FRAC: rdiviiz(gel(x,1),gel(x,2), y); break;
1530 0 : case t_QUAD: av = avma; affgr(quadtofp(x,realprec(y)), y); set_avma(av); break;
1531 0 : default: pari_err_TYPE2("=",x,y);
1532 : }
1533 216244 : }
1534 :
1535 : INLINE GEN
1536 232817 : affc_fixlg(GEN x, GEN res)
1537 : {
1538 232817 : if (typ(x) == t_COMPLEX)
1539 : {
1540 207522 : affrr_fixlg(gel(x,1), gel(res,1));
1541 207522 : affrr_fixlg(gel(x,2), gel(res,2));
1542 : }
1543 : else
1544 : {
1545 25295 : set_avma((pari_sp)(res+3));
1546 25295 : res = cgetr(realprec(gel(res,1)));
1547 25295 : affrr_fixlg(x, res);
1548 : }
1549 232817 : return res;
1550 : }
1551 :
1552 : INLINE GEN
1553 0 : trunc_safe(GEN x) { long e; return gcvtoi(x,&e); }
1554 :
1555 : /*******************************************************************/
1556 : /* */
1557 : /* LENGTH CONVERSIONS */
1558 : /* */
1559 : /*******************************************************************/
1560 : INLINE long
1561 34015 : ndec2nlong(long x) { return 1 + (long)((x)*(LOG2_10/BITS_IN_LONG)); }
1562 : INLINE long
1563 25530 : ndec2prec(long x) { return 2 + ndec2nlong(x); }
1564 : INLINE long
1565 8485 : ndec2nbits(long x) { return ndec2nlong(x) << TWOPOTBITS_IN_LONG; }
1566 : /* Fast implementation of ceil(x / (8*sizeof(long))); typecast to (ulong)
1567 : * to avoid overflow. Faster than 1 + ((x-1)>>TWOPOTBITS_IN_LONG)) :
1568 : * addl, shrl instead of subl, sarl, addl */
1569 : INLINE long
1570 6375756 : nbits2nlong(long x) {
1571 6375756 : return (long)(((ulong)x+BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1572 : }
1573 :
1574 : INLINE long
1575 331432328 : nbits2extraprec(long x) {
1576 331432328 : return (long)(((ulong)x+BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1577 : }
1578 :
1579 : /* Fast implementation of 2 + nbits2nlong(x) */
1580 : INLINE long
1581 126621749 : nbits2prec(long x) {
1582 126621749 : return (long)(((ulong)x+3*BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1583 : }
1584 : INLINE long
1585 171474659 : nbits2lg(long x) {
1586 171474659 : return (long)(((ulong)x+3*BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1587 : }
1588 : /* ceil(x / sizeof(long)) */
1589 : INLINE long
1590 16328459 : nchar2nlong(long x) {
1591 16328459 : return (long)(((ulong)x+sizeof(long)-1) >> (TWOPOTBITS_IN_LONG-3L));
1592 : }
1593 : INLINE long
1594 1319608707 : prec2nbits(long x) { return (x-2) * BITS_IN_LONG; }
1595 : INLINE double
1596 2864252 : bit_accuracy_mul(long x, double y) { return (x-2) * (BITS_IN_LONG*y); }
1597 : INLINE double
1598 259442 : prec2nbits_mul(long x, double y) { return (x-2) * (BITS_IN_LONG*y); }
1599 : INLINE long
1600 38636281 : bit_prec(GEN x) { return prec2nbits(realprec(x)); }
1601 : INLINE long
1602 1193534146 : bit_accuracy(long x) { return prec2nbits(x); }
1603 : INLINE long
1604 12812 : prec2ndec(long x) { return (long)prec2nbits_mul(x, LOG10_2); }
1605 : INLINE long
1606 186 : nbits2ndec(long x) { return (long)(x * LOG10_2); }
1607 : INLINE long
1608 3136 : precdbl(long x) {return (x - 1) << 1;}
1609 : INLINE long
1610 3978528755 : divsBIL(long n) { return n >> TWOPOTBITS_IN_LONG; }
1611 : INLINE long
1612 3925638471 : remsBIL(long n) { return n & (BITS_IN_LONG-1); }
1613 :
1614 : /*********************************************************************/
1615 : /** **/
1616 : /** OPERATIONS MODULO m **/
1617 : /** **/
1618 : /*********************************************************************/
1619 : /* Assume m > 0, more efficient if 0 <= a, b < m */
1620 :
1621 : INLINE GEN
1622 38441237 : Fp_red(GEN a, GEN m) { return modii(a, m); }
1623 : INLINE GEN
1624 92872693 : Fp_add(GEN a, GEN b, GEN m)
1625 : {
1626 92872693 : pari_sp av=avma;
1627 92872693 : GEN p = addii(a,b);
1628 91582835 : long s = signe(p);
1629 91582835 : if (!s) return p; /* = gen_0 */
1630 80368418 : if (s > 0) /* general case */
1631 : {
1632 80141990 : GEN t = subii(p, m);
1633 81125993 : s = signe(t);
1634 81125993 : if (!s) return gc_const(av, gen_0);
1635 72437855 : if (s < 0) return gc_const((pari_sp)p, p);
1636 30871362 : if (cmpii(t, m) < 0) return gerepileuptoint(av, t); /* general case ! */
1637 1109080 : p = remii(t, m);
1638 : }
1639 : else
1640 226428 : p = modii(p, m);
1641 1335508 : return gerepileuptoint(av, p);
1642 : }
1643 : INLINE GEN
1644 67116780 : Fp_sub(GEN a, GEN b, GEN m)
1645 : {
1646 67116780 : pari_sp av=avma;
1647 67116780 : GEN p = subii(a,b);
1648 66650375 : long s = signe(p);
1649 66650375 : if (!s) return p; /* = gen_0 */
1650 58859705 : if (s > 0)
1651 : {
1652 25304133 : if (cmpii(p, m) < 0) return p; /* general case ! */
1653 1124465 : p = remii(p, m);
1654 : }
1655 : else
1656 : {
1657 33555572 : GEN t = addii(p, m);
1658 33501495 : if (!s) return gc_const(av, gen_0);
1659 33501495 : if (s > 0) return gerepileuptoint(av, t); /* general case ! */
1660 33501495 : p = modii(t, m);
1661 : }
1662 35378900 : return gerepileuptoint(av, p);
1663 : }
1664 : INLINE GEN
1665 13633461 : Fp_neg(GEN b, GEN m)
1666 : {
1667 13633461 : pari_sp av = avma;
1668 13633461 : long s = signe(b);
1669 : GEN p;
1670 13633461 : if (!s) return gen_0;
1671 10169011 : if (s > 0)
1672 : {
1673 9984057 : p = subii(m, b);
1674 9981508 : if (signe(p) >= 0) return p; /* general case ! */
1675 94638 : p = modii(p, m);
1676 : } else
1677 184954 : p = remii(negi(b), m);
1678 279592 : return gerepileuptoint(av, p);
1679 : }
1680 :
1681 : INLINE GEN
1682 23594 : Fp_halve(GEN a, GEN p)
1683 : {
1684 23594 : if (mpodd(a)) a = addii(a,p);
1685 23594 : return shifti(a,-1);
1686 : }
1687 :
1688 : /* assume 0 <= u < p and ps2 = p>>1 */
1689 : INLINE GEN
1690 46904342 : Fp_center(GEN u, GEN p, GEN ps2)
1691 46904342 : { return abscmpii(u,ps2)<=0? icopy(u): subii(u,p); }
1692 : /* same without copy */
1693 : INLINE GEN
1694 6850831 : Fp_center_i(GEN u, GEN p, GEN ps2)
1695 6850831 : { return abscmpii(u,ps2)<=0? u: subii(u,p); }
1696 :
1697 : /* x + y*z mod p */
1698 : INLINE GEN
1699 5135253 : Fp_addmul(GEN x, GEN y, GEN z, GEN p)
1700 : {
1701 : pari_sp av;
1702 5135253 : if (!signe(y) || !signe(z)) return Fp_red(x, p);
1703 4838130 : if (!signe(x)) return Fp_mul(z,y, p);
1704 4528353 : av = avma;
1705 4528353 : return gerepileuptoint(av, modii(addii(x, mulii(y,z)), p));
1706 : }
1707 :
1708 : INLINE GEN
1709 95297184 : Fp_mul(GEN a, GEN b, GEN m)
1710 : {
1711 95297184 : pari_sp av=avma;
1712 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1713 95297184 : (void)new_chunk(lg(a)+lg(b)+(lg(m)<<1));
1714 95268385 : p = mulii(a,b);
1715 95463162 : set_avma(av); return modii(p,m);
1716 : }
1717 : INLINE GEN
1718 33681711 : Fp_sqr(GEN a, GEN m)
1719 : {
1720 33681711 : pari_sp av=avma;
1721 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1722 33681711 : (void)new_chunk((lg(a)+lg(m))<<1);
1723 33207179 : p = sqri(a);
1724 30771517 : set_avma(av); return remii(p,m); /*Use remii: p >= 0 */
1725 : }
1726 : INLINE GEN
1727 53945461 : Fp_mulu(GEN a, ulong b, GEN m)
1728 : {
1729 53945461 : long l = lgefint(m);
1730 53945461 : if (l == 3)
1731 : {
1732 30615981 : ulong mm = m[2];
1733 30615981 : return utoi( Fl_mul(umodiu(a, mm), b, mm) );
1734 : } else {
1735 23329480 : pari_sp av = avma;
1736 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1737 23329480 : (void)new_chunk(lg(a)+1+(l<<1));
1738 23204897 : p = muliu(a,b);
1739 21840200 : set_avma(av); return modii(p,m);
1740 : }
1741 : }
1742 : INLINE GEN
1743 0 : Fp_muls(GEN a, long b, GEN m)
1744 : {
1745 0 : long l = lgefint(m);
1746 0 : if (l == 3)
1747 : {
1748 0 : ulong mm = m[2];
1749 0 : if (b < 0)
1750 : {
1751 0 : ulong t = Fl_mul(umodiu(a, mm), -b, mm);
1752 0 : return t? utoipos(mm - t): gen_0;
1753 : }
1754 : else
1755 0 : return utoi( Fl_mul(umodiu(a, mm), b, mm) );
1756 : } else {
1757 0 : pari_sp av = avma;
1758 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1759 0 : (void)new_chunk(lg(a)+1+(l<<1));
1760 0 : p = mulis(a,b);
1761 0 : set_avma(av); return modii(p,m);
1762 : }
1763 : }
1764 :
1765 : INLINE GEN
1766 12485705 : Fp_inv(GEN a, GEN m)
1767 : {
1768 : GEN res;
1769 12485705 : if (! invmod(a,m,&res)) pari_err_INV("Fp_inv", mkintmod(res,m));
1770 12485392 : return res;
1771 : }
1772 : INLINE GEN
1773 329441 : Fp_invsafe(GEN a, GEN m)
1774 : {
1775 : GEN res;
1776 329441 : if (! invmod(a,m,&res)) return NULL;
1777 329441 : return res;
1778 : }
1779 : INLINE GEN
1780 1700532 : Fp_div(GEN a, GEN b, GEN m)
1781 : {
1782 1700532 : pari_sp av = avma;
1783 : GEN p;
1784 1700532 : if (lgefint(b) == 3)
1785 : {
1786 713028 : a = Fp_divu(a, b[2], m);
1787 713028 : if (signe(b) < 0) a = Fp_neg(a, m);
1788 713028 : return a;
1789 : }
1790 : /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1791 987504 : (void)new_chunk(lg(a)+(lg(m)<<1));
1792 987504 : p = mulii(a, Fp_inv(b,m));
1793 987504 : set_avma(av); return modii(p,m);
1794 : }
1795 : INLINE GEN
1796 1820563 : Fp_divu(GEN x, ulong a, GEN p)
1797 : {
1798 1820563 : pari_sp av = avma;
1799 : ulong b;
1800 1820563 : if (lgefint(p) == 3)
1801 : {
1802 1415021 : ulong pp = p[2], xp = umodiu(x, pp);
1803 1415021 : return xp? utoipos(Fl_div(xp, a % pp, pp)): gen_0;
1804 : }
1805 405542 : x = Fp_red(x, p);
1806 405543 : b = Fl_neg(Fl_div(umodiu(x,a), umodiu(p,a), a), a); /* x + pb = 0 (mod a) */
1807 405544 : return gerepileuptoint(av, diviuexact(addmuliu(x, p, b), a));
1808 : }
1809 :
1810 : INLINE GEN
1811 889721 : Flx_mulu(GEN x, ulong a, ulong p) { return Flx_Fl_mul(x,a%p,p); }
1812 :
1813 : INLINE GEN
1814 1830246 : get_F2x_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1815 :
1816 : INLINE long
1817 2252395 : get_F2x_var(GEN T) { return typ(T)==t_VEC? mael(T,2,1): T[1]; }
1818 :
1819 : INLINE long
1820 1899687 : get_F2x_degree(GEN T) { return typ(T)==t_VEC? F2x_degree(gel(T,2)): F2x_degree(T); }
1821 :
1822 : INLINE GEN
1823 399 : get_F2xqX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1824 :
1825 : INLINE long
1826 376159 : get_F2xqX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1827 :
1828 : INLINE long
1829 201446 : get_F2xqX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1830 :
1831 : INLINE GEN
1832 8052244 : get_Flx_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1833 :
1834 : INLINE long
1835 21651070 : get_Flx_var(GEN T) { return typ(T)==t_VEC? mael(T,2,1): T[1]; }
1836 :
1837 : INLINE long
1838 33475081 : get_Flx_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1839 :
1840 : INLINE GEN
1841 3980 : get_FlxqX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1842 :
1843 : INLINE long
1844 222674 : get_FlxqX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1845 :
1846 : INLINE long
1847 278459 : get_FlxqX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1848 :
1849 : INLINE GEN
1850 1661852 : get_FpX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1851 :
1852 : INLINE long
1853 4023449 : get_FpX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1854 :
1855 : INLINE long
1856 2886855 : get_FpX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1857 :
1858 : INLINE GEN
1859 142586 : get_FpXQX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1860 :
1861 : INLINE long
1862 57495 : get_FpXQX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1863 :
1864 : INLINE long
1865 2259 : get_FpXQX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1866 :
1867 : /*******************************************************************/
1868 : /* */
1869 : /* ADDMULII / SUBMULII */
1870 : /* */
1871 : /*******************************************************************/
1872 : /* x - y*z */
1873 : INLINE GEN
1874 391814 : submulii(GEN x, GEN y, GEN z)
1875 : {
1876 391814 : long lx = lgefint(x), ly, lz;
1877 : pari_sp av;
1878 : GEN t;
1879 391814 : if (lx == 2) { t = mulii(z,y); togglesign(t); return t; }
1880 341730 : ly = lgefint(y);
1881 341730 : if (ly == 2) return icopy(x);
1882 287151 : lz = lgefint(z);
1883 287151 : av = avma; (void)new_chunk(lx+ly+lz); /* HACK */
1884 287151 : t = mulii(z, y);
1885 287151 : set_avma(av); return subii(x,t);
1886 : }
1887 : /* y*z - x */
1888 : INLINE GEN
1889 1540127 : mulsubii(GEN y, GEN z, GEN x)
1890 : {
1891 1540127 : long lx = lgefint(x), ly, lz;
1892 : pari_sp av;
1893 : GEN t;
1894 1540127 : if (lx == 2) return mulii(z,y);
1895 986487 : ly = lgefint(y);
1896 986487 : if (ly == 2) return negi(x);
1897 913991 : lz = lgefint(z);
1898 913991 : av = avma; (void)new_chunk(lx+ly+lz); /* HACK */
1899 913991 : t = mulii(z, y);
1900 913991 : set_avma(av); return subii(t,x);
1901 : }
1902 :
1903 : /* x - u*y */
1904 : INLINE GEN
1905 7595 : submuliu(GEN x, GEN y, ulong u)
1906 : {
1907 : pari_sp av;
1908 7595 : long ly = lgefint(y);
1909 7595 : if (ly == 2) return icopy(x);
1910 7595 : av = avma;
1911 7595 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1912 7595 : y = mului(u,y);
1913 7595 : set_avma(av); return subii(x, y);
1914 : }
1915 : /* x + u*y */
1916 : INLINE GEN
1917 413500 : addmuliu(GEN x, GEN y, ulong u)
1918 : {
1919 : pari_sp av;
1920 413500 : long ly = lgefint(y);
1921 413500 : if (ly == 2) return icopy(x);
1922 413500 : av = avma;
1923 413500 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1924 413500 : y = mului(u,y);
1925 413501 : set_avma(av); return addii(x, y);
1926 : }
1927 : /* x - u*y */
1928 : INLINE GEN
1929 156934118 : submuliu_inplace(GEN x, GEN y, ulong u)
1930 : {
1931 : pari_sp av;
1932 156934118 : long ly = lgefint(y);
1933 156934118 : if (ly == 2) return x;
1934 125305213 : av = avma;
1935 125305213 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1936 125305213 : y = mului(u,y);
1937 125305213 : set_avma(av); return subii(x, y);
1938 : }
1939 : /* x + u*y */
1940 : INLINE GEN
1941 154899294 : addmuliu_inplace(GEN x, GEN y, ulong u)
1942 : {
1943 : pari_sp av;
1944 154899294 : long ly = lgefint(y);
1945 154899294 : if (ly == 2) return x;
1946 124744203 : av = avma;
1947 124744203 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1948 124744203 : y = mului(u,y);
1949 124744203 : set_avma(av); return addii(x, y);
1950 : }
1951 : /* ux + vy */
1952 : INLINE GEN
1953 25188142 : lincombii(GEN u, GEN v, GEN x, GEN y)
1954 : {
1955 25188142 : long lx = lgefint(x), ly;
1956 : GEN p1, p2;
1957 : pari_sp av;
1958 25188142 : if (lx == 2) return mulii(v,y);
1959 17346561 : ly = lgefint(y);
1960 17346561 : if (ly == 2) return mulii(u,x);
1961 16067999 : av = avma; (void)new_chunk(lx+ly+lgefint(u)+lgefint(v)); /* HACK */
1962 16068001 : p1 = mulii(u,x);
1963 16067921 : p2 = mulii(v,y);
1964 16067944 : set_avma(av); return addii(p1,p2);
1965 : }
1966 :
1967 : /*******************************************************************/
1968 : /* */
1969 : /* GEN SUBTYPES */
1970 : /* */
1971 : /*******************************************************************/
1972 :
1973 : INLINE int
1974 1411991923 : is_const_t(long t) { return (t < t_POLMOD); }
1975 : INLINE int
1976 6753 : is_extscalar_t(long t) { return (t <= t_POL); }
1977 : INLINE int
1978 1227720 : is_intreal_t(long t) { return (t <= t_REAL); }
1979 : INLINE int
1980 420218618 : is_matvec_t(long t) { return (t >= t_VEC && t <= t_MAT); }
1981 : INLINE int
1982 70380027 : is_noncalc_t(long tx) { return (tx) >= t_LIST; }
1983 : INLINE int
1984 1301396 : is_rational_t(long t) { return (t == t_INT || t == t_FRAC); }
1985 : INLINE int
1986 538638 : is_real_t(long t) { return (t == t_INT || t == t_REAL || t == t_FRAC); }
1987 : INLINE int
1988 3610327184 : is_recursive_t(long t) { return lontyp[t]; }
1989 : INLINE int
1990 176095394 : is_scalar_t(long t) { return (t < t_POL); }
1991 : INLINE int
1992 1097926 : is_vec_t(long t) { return (t == t_VEC || t == t_COL); }
1993 :
1994 : /*******************************************************************/
1995 : /* */
1996 : /* TRANSCENDENTAL */
1997 : /* */
1998 : /*******************************************************************/
1999 : INLINE GEN
2000 22861090 : sqrtr(GEN x) {
2001 22861090 : long s = signe(x);
2002 22861090 : if (s == 0) return real_0_bit(expo(x) >> 1);
2003 22827623 : if (s >= 0) return sqrtr_abs(x);
2004 39836 : retmkcomplex(gen_0, sqrtr_abs(x));
2005 : }
2006 : INLINE GEN
2007 0 : cbrtr_abs(GEN x) { return sqrtnr_abs(x, 3); }
2008 : INLINE GEN
2009 0 : cbrtr(GEN x) {
2010 0 : long s = signe(x);
2011 : GEN r;
2012 0 : if (s == 0) return real_0_bit(expo(x) / 3);
2013 0 : r = cbrtr_abs(x);
2014 0 : if (s < 0) togglesign(r);
2015 0 : return r;
2016 : }
2017 : INLINE GEN
2018 471224 : sqrtnr(GEN x, long n) {
2019 471224 : long s = signe(x);
2020 : GEN r;
2021 471224 : if (s == 0) return real_0_bit(expo(x) / n);
2022 471224 : r = sqrtnr_abs(x, n);
2023 471224 : if (s < 0) pari_err_IMPL("sqrtnr for x < 0");
2024 471224 : return r;
2025 : }
2026 : INLINE long
2027 265072 : logint(GEN B, GEN y) { return logintall(B,y,NULL); }
2028 : INLINE ulong
2029 2006308 : ulogint(ulong B, ulong y)
2030 : {
2031 : ulong r;
2032 : long e;
2033 2006308 : if (y == 2) return expu(B);
2034 1987296 : r = y;
2035 6413517 : for (e=1;; e++)
2036 : { /* here, r = y^e, r2 = y^(e-1) */
2037 10839738 : if (r >= B) return r == B? e: e-1;
2038 4426216 : r = umuluu_or_0(y, r);
2039 4426221 : if (!r) return e;
2040 : }
2041 : }
2042 :
2043 : /*******************************************************************/
2044 : /* */
2045 : /* MISCELLANEOUS */
2046 : /* */
2047 : /*******************************************************************/
2048 1227643 : INLINE int ismpzero(GEN x) { return is_intreal_t(typ(x)) && !signe(x); }
2049 758553265 : INLINE int isintzero(GEN x) { return typ(x) == t_INT && !signe(x); }
2050 7704979 : INLINE int isint1(GEN x) { return typ(x)==t_INT && equali1(x); }
2051 1454359 : INLINE int isintm1(GEN x){ return typ(x)==t_INT && equalim1(x);}
2052 745679292 : INLINE int equali1(GEN n)
2053 745679292 : { return (ulong) n[1] == (evallgefint(3UL) | evalsigne(1)) && n[2] == 1; }
2054 61389230 : INLINE int equalim1(GEN n)
2055 61389230 : { return (ulong) n[1] == (evallgefint(3UL) | evalsigne(-1)) && n[2] == 1; }
2056 : /* works only for POSITIVE integers */
2057 1364979300 : INLINE int is_pm1(GEN n)
2058 1364979300 : { return lgefint(n) == 3 && n[2] == 1; }
2059 266441224 : INLINE int is_bigint(GEN n)
2060 266441224 : { long l = lgefint(n); return l > 3 || (l == 3 && (n[2] & HIGHBIT)); }
2061 :
2062 2092570087 : INLINE int odd(long x) { return x & 1; }
2063 30231544 : INLINE int both_odd(long x, long y) { return x & y & 1; }
2064 :
2065 : INLINE int
2066 3070441972 : isonstack(GEN x)
2067 3070441972 : { return ((pari_sp)x >= pari_mainstack->bot
2068 3070441972 : && (pari_sp)x < pari_mainstack->top); }
2069 :
2070 : /* assume x != 0 and x t_REAL, return an approximation to log2(|x|) */
2071 : INLINE double
2072 22896675 : dbllog2r(GEN x)
2073 22896675 : { return log2((double)(ulong)x[2]) + (double)(expo(x) - (BITS_IN_LONG-1)); }
2074 :
2075 : INLINE GEN
2076 400883 : mul_content(GEN cx, GEN cy)
2077 : {
2078 400883 : if (!cx) return cy;
2079 155252 : if (!cy) return cx;
2080 105196 : return gmul(cx,cy);
2081 : }
2082 : INLINE GEN
2083 10712 : inv_content(GEN c) { return c? ginv(c): NULL; }
2084 : INLINE GEN
2085 2047575 : mul_denom(GEN dx, GEN dy)
2086 : {
2087 2047575 : if (!dx) return dy;
2088 1267946 : if (!dy) return dx;
2089 407314 : return mulii(dx,dy);
2090 : }
2091 :
2092 : /* POLYNOMIALS */
2093 : INLINE GEN
2094 17954319 : constant_coeff(GEN x) { return signe(x)? gel(x,2): gen_0; }
2095 : INLINE GEN
2096 85112383 : leading_coeff(GEN x) { return lg(x) == 2? gen_0: gel(x,lg(x)-1); }
2097 : INLINE ulong
2098 502738 : Flx_lead(GEN x) { return lg(x) == 2? 0: x[lg(x)-1]; }
2099 : INLINE ulong
2100 15153 : Flx_constant(GEN x) { return lg(x) == 2? 0: x[2]; }
2101 : INLINE long
2102 2887575006 : degpol(GEN x) { return lg(x)-3; }
2103 : INLINE long
2104 1498746171 : lgpol(GEN x) { return lg(x)-2; }
2105 : INLINE long
2106 142398575 : lgcols(GEN x) { return lg(gel(x,1)); }
2107 : INLINE long
2108 41037281 : nbrows(GEN x) { return lg(gel(x,1))-1; }
2109 : INLINE GEN
2110 0 : truecoef(GEN x, long n) { return polcoef(x,n,-1); }
2111 :
2112 : INLINE GEN
2113 641887 : ZXQ_mul(GEN y, GEN x, GEN T) { return ZX_rem(ZX_mul(y, x), T); }
2114 : INLINE GEN
2115 292951 : ZXQ_sqr(GEN x, GEN T) { return ZX_rem(ZX_sqr(x), T); }
2116 :
2117 : INLINE GEN
2118 95239619 : RgX_copy(GEN x)
2119 : {
2120 : long lx, i;
2121 95239619 : GEN y = cgetg_copy(x, &lx); y[1] = x[1];
2122 95239616 : for (i = 2; i<lx; i++) gel(y,i) = gcopy(gel(x,i));
2123 95239614 : return y;
2124 : }
2125 : /* have to use ulong to avoid silly warnings from gcc "assuming signed
2126 : * overflow does not occur" */
2127 : INLINE GEN
2128 801287 : RgX_coeff(GEN x, long n)
2129 : {
2130 801287 : ulong l = lg(x);
2131 801287 : return (n < 0 || ((ulong)n+3) > l)? gen_0: gel(x,n+2);
2132 : }
2133 : INLINE GEN
2134 367881 : RgX_renormalize(GEN x) { return RgX_renormalize_lg(x, lg(x)); }
2135 : INLINE GEN
2136 6812315 : RgX_div(GEN x, GEN y) { return RgX_divrem(x,y,NULL); }
2137 : INLINE GEN
2138 1792 : RgXQX_div(GEN x, GEN y, GEN T) { return RgXQX_divrem(x,y,T,NULL); }
2139 : INLINE GEN
2140 104345 : RgXQX_rem(GEN x, GEN y, GEN T) { return RgXQX_divrem(x,y,T,ONLY_REM); }
2141 : INLINE GEN
2142 1106212 : FpX_div(GEN x, GEN y, GEN p) { return FpX_divrem(x,y,p, NULL); }
2143 : INLINE GEN
2144 5506698 : Flx_div(GEN x, GEN y, ulong p) { return Flx_divrem(x,y,p, NULL); }
2145 : INLINE GEN
2146 828754 : F2x_div(GEN x, GEN y) { return F2x_divrem(x,y, NULL); }
2147 : INLINE GEN
2148 0 : FpV_FpC_mul(GEN x, GEN y, GEN p) { return FpV_dotproduct(x,y,p); }
2149 : INLINE GEN
2150 51895336 : pol0_Flx(long sv) { return mkvecsmall(sv); }
2151 : INLINE GEN
2152 16814739 : pol1_Flx(long sv) { return mkvecsmall2(sv, 1); }
2153 : INLINE GEN
2154 18554653 : polx_Flx(long sv) { return mkvecsmall3(sv, 0, 1); }
2155 : INLINE GEN
2156 0 : zero_zx(long sv) { return zero_Flx(sv); }
2157 : INLINE GEN
2158 0 : polx_zx(long sv) { return polx_Flx(sv); }
2159 : INLINE GEN
2160 0 : zx_shift(GEN x, long n) { return Flx_shift(x,n); }
2161 : INLINE GEN
2162 0 : zx_renormalize(GEN x, long l) { return Flx_renormalize(x,l); }
2163 : INLINE GEN
2164 1341 : zero_F2x(long sv) { return zero_Flx(sv); }
2165 : INLINE GEN
2166 11187073 : pol0_F2x(long sv) { return pol0_Flx(sv); }
2167 : INLINE GEN
2168 2889100 : pol1_F2x(long sv) { return pol1_Flx(sv); }
2169 : INLINE GEN
2170 693364 : polx_F2x(long sv) { return mkvecsmall2(sv, 2); }
2171 : INLINE int
2172 845897 : F2x_equal1(GEN x) { return Flx_equal1(x); }
2173 : INLINE int
2174 3125182 : F2x_equal(GEN V, GEN W) { return Flx_equal(V,W); }
2175 : INLINE GEN
2176 54207149 : F2x_copy(GEN x) { return leafcopy(x); }
2177 : INLINE GEN
2178 3185 : F2v_copy(GEN x) { return leafcopy(x); }
2179 : INLINE GEN
2180 2274671 : Flv_copy(GEN x) { return leafcopy(x); }
2181 : INLINE GEN
2182 87761179 : Flx_copy(GEN x) { return leafcopy(x); }
2183 : INLINE GEN
2184 1955863 : vecsmall_copy(GEN x) { return leafcopy(x); }
2185 : INLINE int
2186 5053285 : Flx_equal1(GEN x) { return degpol(x)==0 && x[2] == 1; }
2187 : INLINE int
2188 18131 : ZX_equal1(GEN x) { return degpol(x)==0 && equali1(gel(x,2)); }
2189 : INLINE int
2190 5838924 : ZX_is_monic(GEN x) { return equali1(leading_coeff(x)); }
2191 :
2192 : INLINE GEN
2193 65093936 : ZX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2194 : INLINE GEN
2195 74984186 : FpX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2196 : INLINE GEN
2197 790107 : FpXX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2198 : INLINE GEN
2199 1301114 : FpXQX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2200 : INLINE GEN
2201 108471678 : F2x_renormalize(GEN x, long lx) { return Flx_renormalize(x,lx); }
2202 : INLINE GEN
2203 32603 : F2v_to_F2x(GEN x, long sv) {
2204 32603 : GEN y = leafcopy(x);
2205 32603 : y[1] = sv; F2x_renormalize(y, lg(y)); return y;
2206 : }
2207 :
2208 : INLINE long
2209 126 : sturm(GEN x) { return sturmpart(x, NULL, NULL); }
2210 :
2211 : INLINE long
2212 7273 : gval(GEN x, long v)
2213 7273 : { pari_sp av = avma; return gc_long(av, gvaluation(x, pol_x(v))); }
2214 :
2215 : INLINE void
2216 472832 : RgX_shift_inplace_init(long v)
2217 472832 : { if (v) (void)cgetg(v, t_VECSMALL); }
2218 : /* shift polynomial in place. assume v free cells have been left before x */
2219 : INLINE GEN
2220 472832 : RgX_shift_inplace(GEN x, long v)
2221 : {
2222 : long i, lx;
2223 : GEN z;
2224 472832 : if (!v) return x;
2225 253227 : lx = lg(x);
2226 253227 : if (lx == 2) return x;
2227 253227 : z = x + lx;
2228 : /* stackdummy's from normalizepol */
2229 253227 : while (lg(z) != v) z += lg(z);
2230 253227 : z += v;
2231 253227 : for (i = lx-1; i >= 2; i--) gel(--z,0) = gel(x,i);
2232 253227 : for (i = 0; i < v; i++) gel(--z,0) = gen_0;
2233 253227 : z -= 2;
2234 253227 : z[1] = x[1];
2235 253227 : z[0] = evaltyp(t_POL) | evallg(lx+v);
2236 253227 : stackdummy((pari_sp)z, (pari_sp)x); return z;
2237 : }
2238 :
2239 :
2240 : /* LINEAR ALGEBRA */
2241 : INLINE GEN
2242 134113 : zv_to_ZV(GEN x) { return vecsmall_to_vec(x); }
2243 : INLINE GEN
2244 5328600 : zc_to_ZC(GEN x) { return vecsmall_to_col(x); }
2245 : INLINE GEN
2246 3300764 : ZV_to_zv(GEN x) { return vec_to_vecsmall(x); }
2247 : INLINE GEN
2248 0 : zx_to_zv(GEN x, long N) { return Flx_to_Flv(x,N); }
2249 : INLINE GEN
2250 0 : zv_to_zx(GEN x, long sv) { return Flv_to_Flx(x,sv); }
2251 : INLINE GEN
2252 0 : zm_to_zxV(GEN x, long sv) { return Flm_to_FlxV(x,sv); }
2253 : INLINE GEN
2254 0 : zero_zm(long x, long y) { return zero_Flm(x,y); }
2255 : INLINE GEN
2256 18037603 : zero_zv(long x) { return zero_Flv(x); }
2257 : INLINE GEN
2258 238 : zm_transpose(GEN x) { return Flm_transpose(x); }
2259 : INLINE GEN
2260 0 : zm_copy(GEN x) { return Flm_copy(x); }
2261 : INLINE GEN
2262 1901403 : zv_copy(GEN x) { return Flv_copy(x); }
2263 : INLINE GEN
2264 0 : zm_row(GEN x, long i) { return Flm_row(x,i); }
2265 :
2266 : INLINE GEN
2267 2547876 : ZC_hnfrem(GEN x, GEN y) { return ZC_hnfremdiv(x,y,NULL); }
2268 : INLINE GEN
2269 50279 : ZM_hnfrem(GEN x, GEN y) { return ZM_hnfdivrem(x,y,NULL); }
2270 : INLINE GEN
2271 2536790 : ZM_lll(GEN x, double D, long f) { return ZM_lll_norms(x,D,f,NULL); }
2272 : INLINE void
2273 6472424 : RgM_dimensions(GEN x, long *m, long *n) { *n = lg(x)-1; *m = *n? nbrows(x): 0; }
2274 : INLINE GEN
2275 10637705 : RgM_shallowcopy(GEN x)
2276 : {
2277 : long l;
2278 10637705 : GEN y = cgetg_copy(x, &l);
2279 10637703 : while (--l > 0) gel(y,l) = leafcopy(gel(x,l));
2280 10637707 : return y;
2281 : }
2282 : INLINE GEN
2283 21722 : F2m_copy(GEN x) { return RgM_shallowcopy(x); }
2284 :
2285 : INLINE GEN
2286 1686311 : Flm_copy(GEN x) { return RgM_shallowcopy(x); }
2287 :
2288 : /* divisibility: return 1 if y[i] | x[i] for all i, 0 otherwise. Assume
2289 : * x,y are ZV of the same length */
2290 : INLINE int
2291 23198 : ZV_dvd(GEN x, GEN y)
2292 : {
2293 23198 : long i, l = lg(x);
2294 36652 : for (i=1; i < l; i++)
2295 29519 : if ( ! dvdii( gel(x,i), gel(y,i) ) ) return 0;
2296 7133 : return 1;
2297 : }
2298 :
2299 : /* Fq */
2300 : INLINE GEN
2301 2520698 : Fq_red(GEN x, GEN T, GEN p)
2302 2520698 : { return typ(x)==t_INT? Fp_red(x,p): FpXQ_red(x,T,p); }
2303 : INLINE GEN
2304 99511 : Fq_to_FpXQ(GEN x, GEN T, GEN p /*unused*/)
2305 : {
2306 : (void) p;
2307 99511 : return typ(x)==t_INT ? scalarpol(x, get_FpX_var(T)): x;
2308 : }
2309 : INLINE GEN
2310 756 : Rg_to_Fq(GEN x, GEN T, GEN p) { return T? Rg_to_FpXQ(x,T,p): Rg_to_Fp(x,p); }
2311 :
2312 : INLINE GEN
2313 2345 : gener_Fq_local(GEN T, GEN p, GEN L)
2314 : { return T? gener_FpXQ_local(T,p, L)
2315 2345 : : pgener_Fp_local(p, L); }
2316 :
2317 : /* FpXQX */
2318 : INLINE GEN
2319 4410 : FpXQX_div(GEN x, GEN y, GEN T, GEN p) { return FpXQX_divrem(x, y, T, p, NULL); }
2320 : INLINE GEN
2321 36763 : FlxqX_div(GEN x, GEN y, GEN T, ulong p) { return FlxqX_divrem(x, y, T, p, NULL); }
2322 : INLINE GEN
2323 33334 : F2xqX_div(GEN x, GEN y, GEN T) { return F2xqX_divrem(x, y, T, NULL); }
2324 :
2325 : /* FqX */
2326 : INLINE GEN
2327 25452 : FqX_red(GEN z, GEN T, GEN p) { return T? FpXQX_red(z, T, p): FpX_red(z, p); }
2328 : INLINE GEN
2329 957187 : FqX_add(GEN x,GEN y,GEN T,GEN p) { return T? FpXX_add(x,y,p): FpX_add(x,y,p); }
2330 : INLINE GEN
2331 17404 : FqX_neg(GEN x,GEN T,GEN p) { return T? FpXX_neg(x,p): FpX_neg(x,p); }
2332 : INLINE GEN
2333 3234 : FqX_sub(GEN x,GEN y,GEN T,GEN p) { return T? FpXX_sub(x,y,p): FpX_sub(x,y,p); }
2334 : INLINE GEN
2335 668506 : FqX_Fp_mul(GEN P, GEN u, GEN T, GEN p)
2336 668506 : { return T? FpXX_Fp_mul(P, u, p): FpX_Fp_mul(P, u, p); }
2337 : INLINE GEN
2338 590243 : FqX_Fq_mul(GEN P, GEN U, GEN T, GEN p)
2339 590243 : { return typ(U)==t_INT ? FqX_Fp_mul(P, U, T, p): FpXQX_FpXQ_mul(P, U, T, p); }
2340 : INLINE GEN
2341 101028 : FqX_mul(GEN x, GEN y, GEN T, GEN p)
2342 101028 : { return T? FpXQX_mul(x, y, T, p): FpX_mul(x, y, p); }
2343 : INLINE GEN
2344 489744 : FqX_mulu(GEN x, ulong y, GEN T, GEN p)
2345 489744 : { return T? FpXX_mulu(x, y, p): FpX_mulu(x, y, p); }
2346 : INLINE GEN
2347 6468 : FqX_sqr(GEN x, GEN T, GEN p)
2348 6468 : { return T? FpXQX_sqr(x, T, p): FpX_sqr(x, p); }
2349 : INLINE GEN
2350 1288 : FqX_powu(GEN x, ulong n, GEN T, GEN p)
2351 1288 : { return T? FpXQX_powu(x, n, T, p): FpX_powu(x, n, p); }
2352 : INLINE GEN
2353 0 : FqX_halve(GEN x, GEN T, GEN p)
2354 0 : { return T? FpXX_halve(x, p): FpX_halve(x, p); }
2355 : INLINE GEN
2356 5964 : FqX_div(GEN x, GEN y, GEN T, GEN p)
2357 5964 : { return T? FpXQX_divrem(x,y,T,p,NULL): FpX_divrem(x,y,p,NULL); }
2358 : INLINE GEN
2359 6095 : FqX_get_red(GEN S, GEN T, GEN p)
2360 6095 : { return T? FpXQX_get_red(S,T,p): FpX_get_red(S,p); }
2361 : INLINE GEN
2362 53108 : FqX_rem(GEN x, GEN y, GEN T, GEN p)
2363 53108 : { return T? FpXQX_rem(x,y,T,p): FpX_rem(x,y,p); }
2364 : INLINE GEN
2365 0 : FqX_divrem(GEN x, GEN y, GEN T, GEN p, GEN *z)
2366 0 : { return T? FpXQX_divrem(x,y,T,p,z): FpX_divrem(x,y,p,z); }
2367 : INLINE GEN
2368 5936 : FqX_div_by_X_x(GEN x, GEN y, GEN T, GEN p, GEN *z)
2369 5936 : { return T? FpXQX_div_by_X_x(x,y,T,p,z): FpX_div_by_X_x(x,y,p,z); }
2370 : INLINE GEN
2371 0 : FqX_halfgcd(GEN P,GEN Q,GEN T,GEN p)
2372 0 : {return T? FpXQX_halfgcd(P,Q,T,p): FpX_halfgcd(P,Q,p);}
2373 : INLINE GEN
2374 259833 : FqX_gcd(GEN P,GEN Q,GEN T,GEN p)
2375 259833 : {return T? FpXQX_gcd(P,Q,T,p): FpX_gcd(P,Q,p);}
2376 : INLINE GEN
2377 96340 : FqX_extgcd(GEN P,GEN Q,GEN T,GEN p, GEN *U, GEN *V)
2378 96340 : { return T? FpXQX_extgcd(P,Q,T,p,U,V): FpX_extgcd(P,Q,p,U,V); }
2379 : INLINE GEN
2380 3437 : FqX_normalize(GEN z, GEN T, GEN p)
2381 3437 : { return T? FpXQX_normalize(z, T, p): FpX_normalize(z, p); }
2382 : INLINE GEN
2383 273175 : FqX_deriv(GEN f, GEN T, GEN p) { return T? FpXX_deriv(f, p): FpX_deriv(f, p); }
2384 : INLINE GEN
2385 0 : FqX_integ(GEN f, GEN T, GEN p) { return T? FpXX_integ(f, p): FpX_integ(f, p); }
2386 : INLINE GEN
2387 75229 : FqX_factor(GEN f, GEN T, GEN p)
2388 75229 : { return T?FpXQX_factor(f, T, p): FpX_factor(f, p); }
2389 : INLINE GEN
2390 7 : FqX_factor_squarefree(GEN f, GEN T, GEN p)
2391 7 : { return T ? FpXQX_factor_squarefree(f, T, p): FpX_factor_squarefree(f, p); }
2392 : INLINE GEN
2393 7 : FqX_ddf(GEN f, GEN T, GEN p)
2394 7 : { return T ? FpXQX_ddf(f, T, p): FpX_ddf(f, p); }
2395 : INLINE GEN
2396 1862 : FqX_degfact(GEN f, GEN T, GEN p)
2397 1862 : { return T?FpXQX_degfact(f, T, p): FpX_degfact(f, p); }
2398 : INLINE GEN
2399 7147 : FqX_roots(GEN f, GEN T, GEN p)
2400 7147 : { return T?FpXQX_roots(f, T, p): FpX_roots(f, p); }
2401 : INLINE GEN
2402 203 : FqX_to_mod(GEN f, GEN T, GEN p)
2403 203 : { return T?FpXQX_to_mod(f, T, p): FpX_to_mod(f, p); }
2404 :
2405 : /*FqXQ*/
2406 : INLINE GEN
2407 0 : FqXQ_add(GEN x, GEN y, GEN S/*unused*/, GEN T, GEN p)
2408 0 : { (void)S; return T? FpXX_add(x,y,p): FpX_add(x,y,p); }
2409 : INLINE GEN
2410 0 : FqXQ_sub(GEN x, GEN y, GEN S/*unused*/, GEN T, GEN p)
2411 0 : { (void)S; return T? FpXX_sub(x,y,p): FpX_sub(x,y,p); }
2412 : INLINE GEN
2413 0 : FqXQ_div(GEN x, GEN y, GEN S, GEN T, GEN p)
2414 0 : { return T? FpXQXQ_div(x,y,S,T,p): FpXQ_div(x,y,S,p); }
2415 : INLINE GEN
2416 0 : FqXQ_inv(GEN x, GEN S, GEN T, GEN p)
2417 0 : { return T? FpXQXQ_inv(x,S,T,p): FpXQ_inv(x,S,p); }
2418 : INLINE GEN
2419 0 : FqXQ_invsafe(GEN x, GEN S, GEN T, GEN p)
2420 0 : { return T? FpXQXQ_invsafe(x,S,T,p): FpXQ_inv(x,S,p); }
2421 : INLINE GEN
2422 22348 : FqXQ_mul(GEN x, GEN y, GEN S, GEN T, GEN p)
2423 22348 : { return T? FpXQXQ_mul(x,y,S,T,p): FpXQ_mul(x,y,S,p); }
2424 : INLINE GEN
2425 0 : FqXQ_sqr(GEN x, GEN S, GEN T, GEN p)
2426 0 : { return T? FpXQXQ_sqr(x,S,T,p): FpXQ_sqr(x,S,p); }
2427 : INLINE GEN
2428 0 : FqXQ_pow(GEN x, GEN n, GEN S, GEN T, GEN p)
2429 0 : { return T? FpXQXQ_pow(x,n,S,T,p): FpXQ_pow(x,n,S,p); }
2430 :
2431 : /*FqXn*/
2432 : INLINE GEN
2433 0 : FqXn_exp(GEN x, long n, GEN T, GEN p)
2434 0 : { return T? FpXQXn_exp(x,n,T,p): FpXn_exp(x,n,p); }
2435 : INLINE GEN
2436 0 : FqXn_inv(GEN x, long n, GEN T, GEN p)
2437 0 : { return T? FpXQXn_inv(x,n,T,p): FpXn_inv(x,n,p); }
2438 : INLINE GEN
2439 0 : FqXn_mul(GEN x, GEN y, long n, GEN T, GEN p)
2440 0 : { return T? FpXQXn_mul(x, y, n, T, p): FpXn_mul(x, y, n, p); }
2441 : INLINE GEN
2442 0 : FqXn_sqr(GEN x, long n, GEN T, GEN p)
2443 0 : { return T? FpXQXn_sqr(x,n,T,p): FpXn_sqr(x,n,p); }
2444 :
2445 : /*FpXQ*/
2446 : INLINE GEN
2447 0 : FpXQ_add(GEN x,GEN y,GEN T/*unused*/,GEN p)
2448 0 : { (void)T; return FpX_add(x,y,p); }
2449 : INLINE GEN
2450 0 : FpXQ_sub(GEN x,GEN y,GEN T/*unused*/,GEN p)
2451 0 : { (void)T; return FpX_sub(x,y,p); }
2452 :
2453 : /*Flxq*/
2454 : INLINE GEN
2455 0 : Flxq_add(GEN x,GEN y,GEN T/*unused*/,ulong p)
2456 0 : { (void)T; return Flx_add(x,y,p); }
2457 : INLINE GEN
2458 0 : Flxq_sub(GEN x,GEN y,GEN T/*unused*/,ulong p)
2459 0 : { (void)T; return Flx_sub(x,y,p); }
2460 :
2461 : /* F2x */
2462 :
2463 : INLINE ulong
2464 134966245 : F2x_coeff(GEN x,long v)
2465 : {
2466 134966245 : ulong u=(ulong)x[2+divsBIL(v)];
2467 134964830 : return (u>>remsBIL(v))&1UL;
2468 : }
2469 :
2470 : INLINE void
2471 5534401 : F2x_clear(GEN x,long v)
2472 : {
2473 5534401 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2474 5534400 : *u&=~(1UL<<remsBIL(v));
2475 5534399 : }
2476 :
2477 : INLINE void
2478 33467264 : F2x_set(GEN x,long v)
2479 : {
2480 33467264 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2481 33442393 : *u|=1UL<<remsBIL(v);
2482 33433542 : }
2483 :
2484 : INLINE void
2485 1505895 : F2x_flip(GEN x,long v)
2486 : {
2487 1505895 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2488 1505895 : *u^=1UL<<remsBIL(v);
2489 1505894 : }
2490 :
2491 : /* F2v */
2492 :
2493 : INLINE ulong
2494 130288189 : F2v_coeff(GEN x,long v) { return F2x_coeff(x,v-1); }
2495 :
2496 : INLINE void
2497 5534401 : F2v_clear(GEN x,long v) { F2x_clear(x,v-1); }
2498 :
2499 : INLINE void
2500 9534069 : F2v_set(GEN x,long v) { F2x_set(x,v-1); }
2501 :
2502 : INLINE void
2503 1505895 : F2v_flip(GEN x,long v) { F2x_flip(x,v-1); }
2504 :
2505 : /* F2m */
2506 :
2507 : INLINE ulong
2508 11762927 : F2m_coeff(GEN x, long a, long b) { return F2v_coeff(gel(x,b), a); }
2509 :
2510 : INLINE void
2511 0 : F2m_clear(GEN x, long a, long b) { F2v_clear(gel(x,b), a); }
2512 :
2513 : INLINE void
2514 2060485 : F2m_set(GEN x, long a, long b) { F2v_set(gel(x,b), a); }
2515 :
2516 : INLINE void
2517 1505895 : F2m_flip(GEN x, long a, long b) { F2v_flip(gel(x,b), a); }
2518 :
2519 : /* ARITHMETIC */
2520 : INLINE GEN
2521 2114 : matpascal(long n) { return matqpascal(n, NULL); }
2522 : INLINE long
2523 2334942 : Z_issquare(GEN x) { return Z_issquareall(x, NULL); }
2524 : INLINE long
2525 14 : Z_ispower(GEN x, ulong k) { return Z_ispowerall(x, k, NULL); }
2526 : INLINE GEN
2527 5809961 : sqrti(GEN x) { return sqrtremi(x,NULL); }
2528 : INLINE GEN
2529 5957129 : gaddgs(GEN y, long s) { return gaddsg(s,y); }
2530 : INLINE int
2531 72372 : gcmpgs(GEN y, long s) { return -gcmpsg(s,y); }
2532 : INLINE int
2533 24542 : gequalgs(GEN y, long s) { return gequalsg(s,y); }
2534 : INLINE GEN
2535 0 : gmaxsg(long s, GEN y) { return gmaxgs(y,s); }
2536 : INLINE GEN
2537 0 : gminsg(long s, GEN y) { return gmings(y,s); }
2538 : INLINE GEN
2539 20891907 : gmulgs(GEN y, long s) { return gmulsg(s,y); }
2540 : INLINE GEN
2541 986015 : gsubgs(GEN y, long s) { return gaddgs(y, -s); }
2542 : INLINE GEN
2543 196977 : gdivsg(long s, GEN y) { return gdiv(stoi(s), y); }
2544 :
2545 : /* x t_COMPLEX */
2546 : INLINE GEN
2547 16014553 : cxnorm(GEN x) { return gadd(gsqr(gel(x,1)), gsqr(gel(x,2))); }
2548 : /* q t_QUAD */
2549 : INLINE GEN
2550 966 : quadnorm(GEN q)
2551 : {
2552 966 : GEN X = gel(q,1), b = gel(X,3), c = gel(X,2);
2553 966 : GEN z, u = gel(q,3), v = gel(q,2);
2554 966 : if (typ(u) == t_INT && typ(v) == t_INT) /* generic case */
2555 : {
2556 651 : z = signe(b)? mulii(v, addii(u,v)): sqri(v);
2557 651 : return addii(z, mulii(c, sqri(u)));
2558 : }
2559 : else
2560 : {
2561 315 : z = signe(b)? gmul(v, gadd(u,v)): gsqr(v);
2562 315 : return gadd(z, gmul(c, gsqr(u)));
2563 : }
2564 : }
2565 : /* x a t_QUAD, return the attached discriminant */
2566 : INLINE GEN
2567 1001 : quad_disc(GEN x)
2568 : {
2569 1001 : GEN Q = gel(x,1), b = gel(Q,3), c = gel(Q,2), c4 = shifti(c,2);
2570 1001 : if (is_pm1(b)) return subsi(1, c4);
2571 147 : togglesign_safe(&c4); return c4;
2572 : }
2573 : INLINE GEN
2574 6386723 : qfb_disc3(GEN x, GEN y, GEN z) { return subii(sqri(y), shifti(mulii(x,z),2)); }
2575 : INLINE GEN
2576 6305782 : qfb_disc(GEN x) { return qfb_disc3(gel(x,1), gel(x,2), gel(x,3)); }
2577 :
2578 : INLINE GEN
2579 1384113 : sqrfrac(GEN x)
2580 : {
2581 1384113 : GEN z = cgetg(3,t_FRAC);
2582 1384113 : gel(z,1) = sqri(gel(x,1));
2583 1384113 : gel(z,2) = sqri(gel(x,2)); return z;
2584 : }
2585 :
2586 : INLINE void
2587 37837797 : normalize_frac(GEN z) {
2588 37837797 : if (signe(gel(z,2)) < 0) { togglesign(gel(z,1)); setabssign(gel(z,2)); }
2589 37837797 : }
2590 :
2591 : INLINE GEN
2592 265658 : powii(GEN x, GEN n)
2593 : {
2594 265658 : long ln = lgefint(n);
2595 265658 : if (ln == 3) {
2596 : GEN z;
2597 261178 : if (signe(n) > 0) return powiu(x, n[2]);
2598 8239 : z = cgetg(3, t_FRAC);
2599 8239 : gel(z,1) = gen_1;
2600 8239 : gel(z,2) = powiu(x, n[2]);
2601 8239 : return z;
2602 : }
2603 4480 : if (ln == 2) return gen_1; /* rare */
2604 : /* should never happen */
2605 0 : return powgi(x, n); /* overflow unless x = 0, 1, -1 */
2606 : }
2607 : INLINE GEN
2608 1351 : powIs(long n) {
2609 1351 : switch(n & 3)
2610 : {
2611 63 : case 1: return mkcomplex(gen_0,gen_1);
2612 385 : case 2: return gen_m1;
2613 560 : case 3: return mkcomplex(gen_0,gen_m1);
2614 : }
2615 343 : return gen_1;
2616 : }
2617 :
2618 : /*******************************************************************/
2619 : /* */
2620 : /* ASSIGNMENTS */
2621 : /* */
2622 : /*******************************************************************/
2623 0 : INLINE void mpexpz(GEN x, GEN z)
2624 0 : { pari_sp av = avma; gaffect(mpexp(x), z); set_avma(av); }
2625 0 : INLINE void mplogz(GEN x, GEN z)
2626 0 : { pari_sp av = avma; gaffect(mplog(x), z); set_avma(av); }
2627 0 : INLINE void mpcosz(GEN x, GEN z)
2628 0 : { pari_sp av = avma; gaffect(mpcos(x), z); set_avma(av); }
2629 0 : INLINE void mpsinz(GEN x, GEN z)
2630 0 : { pari_sp av = avma; gaffect(mpsin(x), z); set_avma(av); }
2631 0 : INLINE void gnegz(GEN x, GEN z)
2632 0 : { pari_sp av = avma; gaffect(gneg(x), z); set_avma(av); }
2633 0 : INLINE void gabsz(GEN x, long prec, GEN z)
2634 0 : { pari_sp av = avma; gaffect(gabs(x,prec), z); set_avma(av); }
2635 0 : INLINE void gaddz(GEN x, GEN y, GEN z)
2636 0 : { pari_sp av = avma; gaffect(gadd(x,y), z); set_avma(av); }
2637 0 : INLINE void gsubz(GEN x, GEN y, GEN z)
2638 0 : { pari_sp av = avma; gaffect(gsub(x,y), z); set_avma(av); }
2639 0 : INLINE void gmulz(GEN x, GEN y, GEN z)
2640 0 : { pari_sp av = avma; gaffect(gmul(x,y), z); set_avma(av); }
2641 0 : INLINE void gdivz(GEN x, GEN y, GEN z)
2642 0 : { pari_sp av = avma; gaffect(gdiv(x,y), z); set_avma(av); }
2643 0 : INLINE void gdiventz(GEN x, GEN y, GEN z)
2644 0 : { pari_sp av = avma; gaffect(gdivent(x,y), z); set_avma(av); }
2645 0 : INLINE void gmodz(GEN x, GEN y, GEN z)
2646 0 : { pari_sp av = avma; gaffect(gmod(x,y), z); set_avma(av); }
2647 0 : INLINE void gmul2nz(GEN x, long s, GEN z)
2648 0 : { pari_sp av = avma; gaffect(gmul2n(x,s), z); set_avma(av); }
2649 0 : INLINE void gshiftz(GEN x, long s, GEN z)
2650 0 : { pari_sp av = avma; gaffect(gshift(x,s), z); set_avma(av); }
2651 :
2652 : /*******************************************************************/
2653 : /* */
2654 : /* ELLIPTIC CURVES */
2655 : /* */
2656 : /*******************************************************************/
2657 3985043 : INLINE GEN ell_get_a1(GEN e) { return gel(e,1); }
2658 3098802 : INLINE GEN ell_get_a2(GEN e) { return gel(e,2); }
2659 3866365 : INLINE GEN ell_get_a3(GEN e) { return gel(e,3); }
2660 3891713 : INLINE GEN ell_get_a4(GEN e) { return gel(e,4); }
2661 4708494 : INLINE GEN ell_get_a6(GEN e) { return gel(e,5); }
2662 3323386 : INLINE GEN ell_get_b2(GEN e) { return gel(e,6); }
2663 1027590 : INLINE GEN ell_get_b4(GEN e) { return gel(e,7); }
2664 1633608 : INLINE GEN ell_get_b6(GEN e) { return gel(e,8); }
2665 1464911 : INLINE GEN ell_get_b8(GEN e) { return gel(e,9); }
2666 6213134 : INLINE GEN ell_get_c4(GEN e) { return gel(e,10); }
2667 7451236 : INLINE GEN ell_get_c6(GEN e) { return gel(e,11); }
2668 9705417 : INLINE GEN ell_get_disc(GEN e) { return gel(e,12); }
2669 1031359 : INLINE GEN ell_get_j(GEN e) { return gel(e,13); }
2670 11473102 : INLINE long ell_get_type(GEN e) { return mael(e,14,1); }
2671 1570141 : INLINE GEN ellff_get_field(GEN x) { return gmael(x, 15, 1); }
2672 682702 : INLINE GEN ellff_get_a4a6(GEN x) { return gmael(x, 15, 2); }
2673 1407 : INLINE GEN ellQp_get_zero(GEN x) { return gmael(x, 15, 1); }
2674 287 : INLINE long ellQp_get_prec(GEN E) { GEN z = ellQp_get_zero(E); return valp(z); }
2675 1085 : INLINE GEN ellQp_get_p(GEN E) { GEN z = ellQp_get_zero(E); return gel(z,2); }
2676 37471 : INLINE long ellR_get_prec(GEN x) { return nbits2prec(mael3(x, 15, 1, 1)); }
2677 13748 : INLINE long ellR_get_sign(GEN x) { return mael3(x, 15, 1, 2); }
2678 701074 : INLINE GEN ellnf_get_nf(GEN x) { return checknf_i(gmael(x,15,1)); }
2679 56 : INLINE GEN ellnf_get_bnf(GEN x) { return checkbnf_i(gmael(x,15,1)); }
2680 :
2681 4630152 : INLINE int checkell_i(GEN e) { return typ(e) == t_VEC && lg(e) == 17; }
2682 33994878 : INLINE int ell_is_inf(GEN z) { return lg(z) == 2; }
2683 808419 : INLINE GEN ellinf(void) { return mkvec(gen_0); }
2684 :
2685 : /*******************************************************************/
2686 : /* */
2687 : /* ALGEBRAIC NUMBER THEORY */
2688 : /* */
2689 : /*******************************************************************/
2690 8654953 : INLINE GEN modpr_get_pr(GEN x) { return gel(x,3); }
2691 627893 : INLINE GEN modpr_get_p(GEN x) { return pr_get_p(modpr_get_pr(x)); }
2692 2771928 : INLINE GEN modpr_get_T(GEN x) { return lg(x) == 4? NULL: gel(x,4); }
2693 :
2694 26443628 : INLINE GEN pr_get_p(GEN pr) { return gel(pr,1); }
2695 7396543 : INLINE GEN pr_get_gen(GEN pr){ return gel(pr,2); }
2696 : /* .[2] instead of itos works: e and f are small positive integers */
2697 2442308 : INLINE long pr_get_e(GEN pr) { return gel(pr,3)[2]; }
2698 12671617 : INLINE long pr_get_f(GEN pr) { return gel(pr,4)[2]; }
2699 10293775 : INLINE GEN pr_get_tau(GEN pr){ return gel(pr,5); }
2700 : INLINE int
2701 3504552 : pr_is_inert(GEN P) { return pr_get_f(P) == lg(pr_get_gen(P))-1; }
2702 : INLINE GEN
2703 1912803 : pr_norm(GEN pr) { return powiu(pr_get_p(pr), pr_get_f(pr)); }
2704 : INLINE ulong
2705 91532 : upr_norm(GEN pr) { return upowuu(pr_get_p(pr)[2], pr_get_f(pr)); }
2706 :
2707 : /* assume nf a genuine nf */
2708 : INLINE long
2709 398825 : nf_get_varn(GEN nf) { return varn(gel(nf,1)); }
2710 : INLINE GEN
2711 35530170 : nf_get_pol(GEN nf) { return gel(nf,1); }
2712 : INLINE long
2713 28266893 : nf_get_degree(GEN nf) { return degpol( nf_get_pol(nf) ); }
2714 : INLINE long
2715 4248382 : nf_get_r1(GEN nf) { GEN x = gel(nf,2); return itou(gel(x,1)); }
2716 : INLINE long
2717 1806 : nf_get_r2(GEN nf) { GEN x = gel(nf,2); return itou(gel(x,2)); }
2718 : INLINE GEN
2719 62374 : nf_get_disc(GEN nf) { return gel(nf,3); }
2720 : INLINE GEN
2721 931683 : nf_get_index(GEN nf) { return gel(nf,4); }
2722 : INLINE GEN
2723 2938747 : nf_get_M(GEN nf) { return gmael(nf,5,1); }
2724 : INLINE GEN
2725 1669989 : nf_get_G(GEN nf) { return gmael(nf,5,2); }
2726 : INLINE GEN
2727 2115449 : nf_get_roundG(GEN nf) { return gmael(nf,5,3); }
2728 : INLINE GEN
2729 26103 : nf_get_Tr(GEN nf) { return gmael(nf,5,4); }
2730 : INLINE GEN
2731 2709 : nf_get_diff(GEN nf) { return gmael(nf,5,5); }
2732 : INLINE GEN
2733 2660 : nf_get_ramified_primes(GEN nf) { return gmael(nf,5,8); }
2734 : INLINE GEN
2735 388372 : nf_get_roots(GEN nf) { return gel(nf,6); }
2736 : INLINE GEN
2737 98 : nf_get_zk(GEN nf)
2738 : {
2739 98 : GEN y = gel(nf,7), D = gel(y, 1);
2740 98 : if (typ(D) == t_POL) D = gel(D, 2);
2741 98 : if (!equali1(D)) y = gdiv(y, D);
2742 98 : return y;
2743 : }
2744 : INLINE GEN
2745 431340 : nf_get_zkprimpart(GEN nf)
2746 : {
2747 431340 : GEN y = gel(nf,7);
2748 : /* test for old format of nf.zk: non normalized */
2749 431340 : if (!equali1(gel(nf,4)) && gequal1(gel(y,1))) y = Q_remove_denom(y,NULL);
2750 431339 : return y;
2751 : }
2752 : INLINE GEN
2753 432872 : nf_get_zkden(GEN nf)
2754 : {
2755 432872 : GEN y = gel(nf,7), D = gel(y,1);
2756 432872 : if (typ(D) == t_POL) D = gel(D,2);
2757 : /* test for old format of nf.zk: non normalized */
2758 432872 : if (!equali1(gel(nf,4)) && equali1(D)) D = Q_denom(y);
2759 432870 : return D;
2760 : }
2761 : INLINE GEN
2762 2842352 : nf_get_invzk(GEN nf) { return gel(nf,8); }
2763 : INLINE void
2764 24036 : nf_get_sign(GEN nf, long *r1, long *r2)
2765 : {
2766 24036 : GEN x = gel(nf,2);
2767 24036 : *r1 = itou(gel(x,1));
2768 24036 : *r2 = itou(gel(x,2));
2769 24036 : }
2770 :
2771 : INLINE GEN
2772 95292 : abgrp_get_no(GEN x) { return gel(x,1); }
2773 : INLINE GEN
2774 3020908 : abgrp_get_cyc(GEN x) { return gel(x,2); }
2775 : INLINE GEN
2776 345700 : abgrp_get_gen(GEN x) { return gel(x,3); }
2777 : INLINE GEN
2778 2468492 : bnf_get_nf(GEN bnf) { return gel(bnf,7); }
2779 : INLINE GEN
2780 1235844 : bnf_get_clgp(GEN bnf) { return gmael(bnf,8,1); }
2781 : INLINE GEN
2782 7140 : bnf_get_no(GEN bnf) { return abgrp_get_no(bnf_get_clgp(bnf)); }
2783 : INLINE GEN
2784 931115 : bnf_get_cyc(GEN bnf) { return abgrp_get_cyc(bnf_get_clgp(bnf)); }
2785 : INLINE GEN
2786 297239 : bnf_get_gen(GEN bnf) { return abgrp_get_gen(bnf_get_clgp(bnf)); }
2787 : INLINE GEN
2788 1210 : bnf_get_reg(GEN bnf) { return gmael(bnf,8,2); }
2789 : INLINE GEN
2790 540649 : bnf_get_logfu(GEN bnf) { return gel(bnf,3); }
2791 : INLINE GEN
2792 5259 : bnf_get_sunits(GEN bnf)
2793 5259 : { GEN s = gmael(bnf,8,3); return typ(s) == t_INT? NULL: s; }
2794 : INLINE GEN
2795 39180 : bnf_get_tuU(GEN bnf) { return gmael3(bnf,8,4,2); }
2796 : INLINE long
2797 40656 : bnf_get_tuN(GEN bnf) { return gmael3(bnf,8,4,1)[2]; }
2798 : INLINE GEN
2799 38969 : bnf_get_fu_nocheck(GEN bnf) { return gmael(bnf,8,5); }
2800 : INLINE GEN
2801 1687 : bnf_get_fu(GEN bnf) {
2802 1687 : GEN fu = bnf_build_units(bnf), nf = bnf_get_nf(bnf);
2803 : long i, l;
2804 1687 : if (typ(fu) == t_MAT) pari_err(e_MISC,"missing units in bnf");
2805 1687 : l = lg(fu)-1; fu = vecslice(fu, 2, l);
2806 1687 : for (i = 1; i < l; i++) gel(fu,i) = nf_to_scalar_or_alg(nf, gel(fu,i));
2807 1687 : return fu;
2808 : }
2809 :
2810 : INLINE GEN
2811 991798 : bnr_get_bnf(GEN bnr) { return gel(bnr,1); }
2812 : INLINE GEN
2813 506791 : bnr_get_bid(GEN bnr) { return gel(bnr,2); }
2814 : INLINE GEN
2815 20237 : bnr_get_mod(GEN bnr) { return gmael(bnr,2,1); }
2816 : INLINE GEN
2817 36946 : bnr_get_nf(GEN bnr) { return gmael(bnr,1,7); }
2818 : INLINE GEN
2819 753758 : bnr_get_clgp(GEN bnr) { return gel(bnr,5); }
2820 : INLINE GEN
2821 84385 : bnr_get_no(GEN bnr) { return abgrp_get_no(bnr_get_clgp(bnr)); }
2822 : INLINE GEN
2823 653077 : bnr_get_cyc(GEN bnr) { return abgrp_get_cyc(bnr_get_clgp(bnr)); }
2824 : INLINE GEN
2825 70 : bnr_get_gen_nocheck(GEN bnr) { return abgrp_get_gen(bnr_get_clgp(bnr)); }
2826 : INLINE GEN
2827 14931 : bnr_get_gen(GEN bnr) {
2828 14931 : GEN G = bnr_get_clgp(bnr);
2829 14931 : if (lg(G) != 4)
2830 0 : pari_err(e_MISC,"missing bnr generators: please use bnrinit(,,1)");
2831 14931 : return gel(G,3);
2832 : }
2833 :
2834 : INLINE GEN
2835 299143 : bid_get_mod(GEN bid) { return gel(bid,1); }
2836 : INLINE GEN
2837 68684 : bid_get_ideal(GEN bid) { return gmael(bid,1,1); }
2838 : INLINE GEN
2839 1260 : bid_get_arch(GEN bid) { return gmael(bid,1,2); }
2840 : INLINE GEN
2841 1291641 : bid_get_grp(GEN bid) { return gel(bid,2); }
2842 : INLINE GEN
2843 506406 : bid_get_fact(GEN bid) { return gmael(bid,3,1); }
2844 : INLINE GEN
2845 435776 : bid_get_fact2(GEN bid) { return gmael(bid,3,2); }
2846 : INLINE GEN
2847 434789 : bid_get_sprk(GEN bid) { return gmael(bid,4,1); }
2848 : INLINE GEN
2849 49182 : bid_get_sarch(GEN bid) { return gmael(bid,4,2); }
2850 : INLINE GEN
2851 471385 : bid_get_archp(GEN bid) { return gmael3(bid,4,2,2); }
2852 : INLINE GEN
2853 734198 : bid_get_U(GEN bid) { return gel(bid,5); }
2854 : INLINE GEN
2855 0 : bid_get_no(GEN bid) { return abgrp_get_no(bid_get_grp(bid)); }
2856 : INLINE GEN
2857 1244195 : bid_get_cyc(GEN bid) { return abgrp_get_cyc(bid_get_grp(bid)); }
2858 : INLINE GEN
2859 0 : bid_get_gen_nocheck(GEN bid) { return abgrp_get_gen(bid_get_grp(bid)); }
2860 : INLINE GEN
2861 46865 : bid_get_gen(GEN bid) {
2862 46865 : GEN G = bid_get_grp(bid);
2863 46865 : if (lg(G) != 4) pari_err(e_MISC,"missing bid generators. Use idealstar(,,2)");
2864 46865 : return abgrp_get_gen(G);
2865 : }
2866 :
2867 : INLINE GEN
2868 25992085 : znstar_get_N(GEN G) { return gmael(G,1,1); }
2869 : INLINE GEN
2870 2917110 : znstar_get_faN(GEN G) { return gel(G,3); }
2871 : INLINE GEN
2872 7 : znstar_get_no(GEN G) { return abgrp_get_no(gel(G,2)); }
2873 : INLINE GEN
2874 191093 : znstar_get_cyc(GEN G) { return abgrp_get_cyc(gel(G,2)); }
2875 : INLINE GEN
2876 7 : znstar_get_gen(GEN G) { return abgrp_get_gen(gel(G,2)); }
2877 : INLINE GEN
2878 3590937 : znstar_get_conreycyc(GEN G) { return gmael(G,4,5); }
2879 : INLINE GEN
2880 1237467 : znstar_get_conreygen(GEN G) { return gmael(G,4,4); }
2881 : INLINE GEN
2882 45927 : znstar_get_Ui(GEN G) { return gmael(G,4,3); }
2883 : INLINE GEN
2884 120162 : znstar_get_U(GEN G) { return gel(G,5); }
2885 : INLINE GEN
2886 842464 : znstar_get_pe(GEN G) { return gmael(G,4,1); }
2887 : INLINE GEN
2888 20755 : gal_get_pol(GEN gal) { return gel(gal,1); }
2889 : INLINE GEN
2890 1470 : gal_get_p(GEN gal) { return gmael(gal,2,1); }
2891 : INLINE GEN
2892 119 : gal_get_e(GEN gal) { return gmael(gal,2,2); }
2893 : INLINE GEN
2894 16135 : gal_get_mod(GEN gal) { return gmael(gal,2,3); }
2895 : INLINE GEN
2896 17157 : gal_get_roots(GEN gal) { return gel(gal,3); }
2897 : INLINE GEN
2898 16681 : gal_get_invvdm(GEN gal) { return gel(gal,4); }
2899 : INLINE GEN
2900 16681 : gal_get_den(GEN gal) { return gel(gal,5); }
2901 : INLINE GEN
2902 68162 : gal_get_group(GEN gal) { return gel(gal,6); }
2903 : INLINE GEN
2904 1785 : gal_get_gen(GEN gal) { return gel(gal,7); }
2905 : INLINE GEN
2906 1428 : gal_get_orders(GEN gal) { return gel(gal,8); }
2907 :
2908 : /* assume rnf a genuine rnf */
2909 : INLINE long
2910 1230831 : rnf_get_degree(GEN rnf) { return degpol(rnf_get_pol(rnf)); }
2911 : INLINE long
2912 16681 : rnf_get_nfdegree(GEN rnf) { return degpol(nf_get_pol(rnf_get_nf(rnf))); }
2913 : INLINE long
2914 774613 : rnf_get_absdegree(GEN rnf) { return degpol(gmael(rnf,11,1)); }
2915 : INLINE GEN
2916 700 : rnf_get_idealdisc(GEN rnf) { return gmael(rnf,3,1); }
2917 : INLINE GEN
2918 749 : rnf_get_k(GEN rnf) { return gmael(rnf,11,3); }
2919 : INLINE GEN
2920 805 : rnf_get_alpha(GEN rnf) { return gmael(rnf, 11, 2); }
2921 : INLINE GEN
2922 423010 : rnf_get_nf(GEN rnf) { return gel(rnf,10); }
2923 : INLINE GEN
2924 3808 : rnf_get_nfzk(GEN rnf) { return gel(rnf,2); }
2925 : INLINE GEN
2926 207984 : rnf_get_polabs(GEN rnf) { return gmael(rnf,11,1); }
2927 : INLINE GEN
2928 1476461 : rnf_get_pol(GEN rnf) { return gel(rnf,1); }
2929 : INLINE GEN
2930 175 : rnf_get_disc(GEN rnf) { return gel(rnf,3); }
2931 : INLINE GEN
2932 105 : rnf_get_index(GEN rnf) { return gel(rnf,4); }
2933 : INLINE GEN
2934 1561 : rnf_get_ramified_primes(GEN rnf) { return gel(rnf,5); }
2935 : INLINE long
2936 0 : rnf_get_varn(GEN rnf) { return varn(gel(rnf,1)); }
2937 : INLINE GEN
2938 187999 : rnf_get_nfpol(GEN rnf) { return gmael(rnf,10,1); }
2939 : INLINE long
2940 3332 : rnf_get_nfvarn(GEN rnf) { return varn(gmael(rnf,10,1)); }
2941 : INLINE GEN
2942 3500 : rnf_get_zk(GEN rnf) { return gel(rnf,7); }
2943 : INLINE GEN
2944 102746 : rnf_get_map(GEN rnf) { return gel(rnf,11); }
2945 : INLINE GEN
2946 1197 : rnf_get_invzk(GEN rnf) { return gel(rnf,8); }
2947 :
2948 : /* I integral ZM (not HNF), G ZM, rounded Cholesky form of a weighted
2949 : * T2 matrix. Reduce I wrt G */
2950 : INLINE GEN
2951 22267 : idealpseudored(GEN I, GEN G)
2952 22267 : { return ZM_mul(I, ZM_lll(ZM_mul(G, I), 0.99, LLL_IM)); }
2953 :
2954 : /* I integral (not necessarily HNF), G ZM, rounded Cholesky form of a weighted
2955 : * T2 matrix. Return m in I with T2(m) small */
2956 : INLINE GEN
2957 131769 : idealpseudomin(GEN I, GEN G)
2958 : {
2959 131769 : GEN u = ZM_lll(ZM_mul(G, I), 0.99, LLL_IM);
2960 131769 : return ZM_ZC_mul(I, gel(u,1));
2961 : }
2962 : /* I, G as in idealpseudomin. Return an irrational m in I with T2(m) small */
2963 : INLINE GEN
2964 355216 : idealpseudomin_nonscalar(GEN I, GEN G)
2965 : {
2966 355216 : GEN u = ZM_lll(ZM_mul(G, I), 0.99, LLL_IM);
2967 355216 : GEN m = ZM_ZC_mul(I, gel(u,1));
2968 355216 : if (ZV_isscalar(m) && lg(u) > 2) m = ZM_ZC_mul(I, gel(u,2));
2969 355216 : return m;
2970 : }
2971 :
2972 : INLINE GEN
2973 945 : idealred_elt(GEN nf, GEN I) {
2974 945 : pari_sp av = avma;
2975 945 : GEN u = idealpseudomin(I, nf_get_roundG(nf));
2976 945 : return gerepileupto(av, u);
2977 : }
2978 : INLINE GEN
2979 139330 : idealred(GEN nf, GEN I) { return idealred0(nf, I, NULL); }
2980 :
2981 : INLINE GEN
2982 2023 : idealchineseinit(GEN nf, GEN x)
2983 2023 : { return idealchinese(nf,x,NULL); }
2984 :
2985 : /*******************************************************************/
2986 : /* */
2987 : /* CLOSURES */
2988 : /* */
2989 : /*******************************************************************/
2990 235536065 : INLINE long closure_arity(GEN C) { return ((ulong)C[1])&ARITYBITS; }
2991 36094351 : INLINE long closure_is_variadic(GEN C) { return !!(((ulong)C[1])&VARARGBITS); }
2992 194966400 : INLINE const char *closure_codestr(GEN C) { return GSTR(gel(C,2))-1; }
2993 0 : INLINE GEN closure_get_code(GEN C) { return gel(C,2); }
2994 194949327 : INLINE GEN closure_get_oper(GEN C) { return gel(C,3); }
2995 194935808 : INLINE GEN closure_get_data(GEN C) { return gel(C,4); }
2996 10160 : INLINE GEN closure_get_dbg(GEN C) { return gel(C,5); }
2997 24261 : INLINE GEN closure_get_text(GEN C) { return gel(C,6); }
2998 5981809 : INLINE GEN closure_get_frame(GEN C) { return gel(C,7); }
2999 :
3000 : /*******************************************************************/
3001 : /* */
3002 : /* ERRORS */
3003 : /* */
3004 : /*******************************************************************/
3005 : INLINE long
3006 54041 : err_get_num(GEN e) { return e[1]; }
3007 : INLINE GEN
3008 84 : err_get_compo(GEN e, long i) { return gel(e, i+1); }
3009 :
3010 : INLINE void
3011 14 : pari_err_BUG(const char *f) { pari_err(e_BUG,f); }
3012 : INLINE void
3013 7 : pari_err_CONSTPOL(const char *f) { pari_err(e_CONSTPOL, f); }
3014 : INLINE void
3015 63 : pari_err_COPRIME(const char *f, GEN x, GEN y) { pari_err(e_COPRIME, f,x,y); }
3016 : INLINE void
3017 494 : pari_err_DIM(const char *f) { pari_err(e_DIM, f); }
3018 : INLINE void
3019 0 : pari_err_FILE(const char *f, const char *g) { pari_err(e_FILE, f,g); }
3020 : INLINE void
3021 0 : pari_err_FILEDESC(const char *f, long n) { pari_err(e_FILEDESC, f,n); }
3022 : INLINE void
3023 84 : pari_err_FLAG(const char *f) { pari_err(e_FLAG,f); }
3024 : INLINE void
3025 448 : pari_err_IMPL(const char *f) { pari_err(e_IMPL,f); }
3026 : INLINE void
3027 19730 : pari_err_INV(const char *f, GEN x) { pari_err(e_INV,f,x); }
3028 : INLINE void
3029 42 : pari_err_IRREDPOL(const char *f, GEN x) { pari_err(e_IRREDPOL, f,x); }
3030 : INLINE void
3031 2141 : 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); }
3032 : INLINE void
3033 200 : pari_err_COMPONENT(const char *f, const char *op, GEN l, GEN x) { pari_err(e_COMPONENT, f,op,l,x); }
3034 : INLINE void
3035 0 : pari_err_MAXPRIME(ulong c) { pari_err(e_MAXPRIME, c); }
3036 : INLINE void
3037 364 : pari_err_OP(const char *f, GEN x, GEN y) { pari_err(e_OP, f,x,y); }
3038 : INLINE void
3039 100 : pari_err_OVERFLOW(const char *f) { pari_err(e_OVERFLOW, f); }
3040 : INLINE void
3041 225 : pari_err_PREC(const char *f) { pari_err(e_PREC,f); }
3042 : INLINE void
3043 0 : pari_err_PACKAGE(const char *f) { pari_err(e_PACKAGE,f); }
3044 : INLINE void
3045 70 : pari_err_PRIME(const char *f, GEN x) { pari_err(e_PRIME, f,x); }
3046 : INLINE void
3047 749 : pari_err_MODULUS(const char *f, GEN x, GEN y) { pari_err(e_MODULUS, f,x,y); }
3048 : INLINE void
3049 49 : pari_err_ROOTS0(const char *f) { pari_err(e_ROOTS0, f); }
3050 : INLINE void
3051 84 : pari_err_SQRTN(const char *f, GEN x) { pari_err(e_SQRTN, f,x); }
3052 : INLINE void
3053 12895 : pari_err_TYPE(const char *f, GEN x) { pari_err(e_TYPE, f,x); }
3054 : INLINE void
3055 3388 : pari_err_TYPE2(const char *f, GEN x, GEN y) { pari_err(e_TYPE2, f,x,y); }
3056 : INLINE void
3057 280 : pari_err_VAR(const char *f, GEN x, GEN y) { pari_err(e_VAR, f,x,y); }
3058 : INLINE void
3059 196 : pari_err_PRIORITY(const char *f, GEN x, const char *op, long v)
3060 196 : { pari_err(e_PRIORITY, f,x,op,v); }
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