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 3120234 : mkintmod(GEN x, GEN y) { retmkintmod(x,y); }
141 : INLINE GEN
142 4074 : mkintmodu(ulong x, ulong y) {
143 4074 : GEN v = cgetg(3,t_INTMOD);
144 4074 : gel(v,1) = utoipos(y);
145 4074 : gel(v,2) = utoi(x); return v;
146 : }
147 : INLINE GEN
148 2940392 : mkpolmod(GEN x, GEN y) { retmkpolmod(x,y); }
149 : INLINE GEN
150 23145732 : mkfrac(GEN x, GEN y) { retmkfrac(x,y); }
151 : INLINE GEN
152 32137 : mkfracss(long x, long y) { retmkfrac(stoi(x),utoipos(y)); }
153 : /* q = n/d a t_FRAC or t_INT; recover (n,d) */
154 : INLINE void
155 12208 : Qtoss(GEN q, long *n, long *d)
156 : {
157 12208 : if (typ(q) == t_INT) { *n = itos(q); *d = 1; }
158 2443 : else { *n = itos(gel(q,1)); *d = itou(gel(q,2)); }
159 12208 : }
160 : INLINE GEN
161 71228544 : sstoQ(long n, long d)
162 : {
163 : ulong r;
164 : long g, q;
165 71228544 : if (!n)
166 : {
167 88767 : if (!d) pari_err_INV("sstoQ",gen_0);
168 88767 : return gen_0;
169 : }
170 71139777 : if (d < 0) { d = -d; n = -n; }
171 71139777 : if (d == 1) return stoi(n);
172 71128185 : q = udivuu_rem(labs(n),d,&r);
173 71128185 : if (!r) return n > 0? utoipos(q): utoineg(q);
174 3612450 : g = ugcd(d,r); /* gcd(n,d) */
175 3612450 : if (g != 1) { n /= g; d /= g; }
176 3612450 : retmkfrac(stoi(n), utoi(d));
177 : }
178 :
179 : INLINE GEN
180 6681423 : 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 9089128 : mkcomplex(GEN x, GEN y) { retmkcomplex(x,y); }
189 : INLINE GEN
190 449689 : gen_I(void) { return mkcomplex(gen_0, gen_1); }
191 : INLINE GEN
192 298716 : 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 69591984 : mkvecsmall(long x) { GEN v = cgetg(2, t_VECSMALL); v[1] = x; return v; }
199 : INLINE GEN
200 114122468 : mkvecsmall2(long x,long y) { GEN v = cgetg(3, t_VECSMALL);
201 114138064 : v[1]=x; v[2]=y; return v; }
202 : INLINE GEN
203 58027053 : mkvecsmall3(long x,long y,long z) { GEN v = cgetg(4, t_VECSMALL);
204 58026519 : v[1]=x; v[2]=y; v[3]=z; return v; }
205 : INLINE GEN
206 11957774 : mkvecsmall4(long x,long y,long z,long t) { GEN v = cgetg(5, t_VECSMALL);
207 11950446 : v[1]=x; v[2]=y; v[3]=z; v[4]=t; return v; }
208 : INLINE GEN
209 466559 : mkvecsmall5(long x,long y,long z,long t,long u) { GEN v = cgetg(6, t_VECSMALL);
210 466557 : v[1]=x; v[2]=y; v[3]=z; v[4]=t; v[5]=u; return v; }
211 :
212 : INLINE GEN
213 158123 : mkqfi(GEN x, GEN y, GEN z) { retmkqfi(x,y,z); }
214 : /* vec */
215 : INLINE GEN
216 15064907 : mkvec(GEN x) { retmkvec(x); }
217 : INLINE GEN
218 102015740 : mkvec2(GEN x, GEN y) { retmkvec2(x,y); }
219 : INLINE GEN
220 75180034 : mkvec3(GEN x, GEN y, GEN z) { retmkvec3(x,y,z); }
221 : INLINE GEN
222 7270064 : mkvec4(GEN x, GEN y, GEN z, GEN t) { retmkvec4(x,y,z,t); }
223 : INLINE GEN
224 12082029 : mkvec5(GEN x, GEN y, GEN z, GEN t, GEN u) { retmkvec5(x,y,z,t,u); }
225 : INLINE GEN
226 0 : mkvecs(long x) { retmkvec(stoi(x)); }
227 : INLINE GEN
228 23070 : mkvec2s(long x, long y) { retmkvec2(stoi(x),stoi(y)); }
229 : INLINE GEN
230 492724 : mkvec3s(long x, long y, long z) { retmkvec3(stoi(x),stoi(y),stoi(z)); }
231 : INLINE GEN
232 21 : mkvec4s(long x, long y, long z, long t) { retmkvec4(stoi(x),stoi(y),stoi(z),stoi(t)); }
233 : INLINE GEN
234 35091 : mkveccopy(GEN x) { GEN v = cgetg(2, t_VEC); gel(v,1) = gcopy(x); return v; }
235 : INLINE GEN
236 96868 : mkvec2copy(GEN x, GEN y) {
237 96868 : GEN v = cgetg(3,t_VEC); gel(v,1) = gcopy(x); gel(v,2) = gcopy(y); return v; }
238 : /* col */
239 : INLINE GEN
240 2508984 : mkcol(GEN x) { retmkcol(x); }
241 : INLINE GEN
242 25642135 : mkcol2(GEN x, GEN y) { retmkcol2(x,y); }
243 : INLINE GEN
244 42385 : mkcol3(GEN x, GEN y, GEN z) { retmkcol3(x,y,z); }
245 : INLINE GEN
246 0 : mkcol4(GEN x, GEN y, GEN z, GEN t) { retmkcol4(x,y,z,t); }
247 : INLINE GEN
248 0 : mkcol5(GEN x, GEN y, GEN z, GEN t, GEN u) { retmkcol5(x,y,z,t,u); }
249 : INLINE GEN
250 8716 : mkcol6(GEN x, GEN y, GEN z, GEN t, GEN u, GEN v) { retmkcol6(x,y,z,t,u,v); }
251 : INLINE GEN
252 273 : mkcols(long x) { retmkcol(stoi(x)); }
253 : INLINE GEN
254 2176216 : 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 50588 : mkcolcopy(GEN x) { GEN v = cgetg(2, t_COL); gel(v,1) = gcopy(x); return v; }
261 : /* mat */
262 : INLINE GEN
263 2536167 : mkmat(GEN x) { retmkmat(x); }
264 : INLINE GEN
265 32198633 : mkmat2(GEN x, GEN y) { retmkmat2(x,y); }
266 : INLINE GEN
267 2331 : 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 22341 : 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 96160 : 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 132935 : inf_get_sign(GEN x) { return signe(gel(x,1)); }
282 : INLINE GEN
283 10696 : mkmat22s(long a, long b, long c, long d) {retmkmat2(mkcol2s(a,c),mkcol2s(b,d));}
284 : INLINE GEN
285 1533070 : mkmat22(GEN a, GEN b, GEN c, GEN d) { retmkmat2(mkcol2(a,c),mkcol2(b,d)); }
286 :
287 : /* pol */
288 : INLINE GEN
289 989986 : pol_x(long v) {
290 989986 : GEN p = cgetg(4, t_POL);
291 989984 : p[1] = evalsigne(1)|evalvarn(v);
292 989984 : gel(p,2) = gen_0;
293 989984 : gel(p,3) = gen_1; return p;
294 : }
295 : /* x^n, assume n >= 0 */
296 : INLINE GEN
297 8767943 : pol_xn(long n, long v) {
298 8767943 : long i, a = n+2;
299 8767943 : GEN p = cgetg(a+1, t_POL);
300 8767944 : p[1] = evalsigne(1)|evalvarn(v);
301 8767944 : for (i = 2; i < a; i++) gel(p,i) = gen_0;
302 8767944 : gel(p,a) = gen_1; return p;
303 : }
304 : /* x^n, no assumption on n */
305 : INLINE GEN
306 287 : pol_xnall(long n, long v)
307 : {
308 287 : if (n < 0) retmkrfrac(gen_1, pol_xn(-n,v));
309 280 : return pol_xn(n, v);
310 : }
311 : INLINE GEN
312 1429490 : pol_1(long v) {
313 1429490 : GEN p = cgetg(3, t_POL);
314 1429493 : p[1] = evalsigne(1)|evalvarn(v);
315 1429493 : gel(p,2) = gen_1; return p;
316 : }
317 : INLINE GEN
318 32822619 : pol_0(long v)
319 : {
320 32822619 : GEN x = cgetg(2,t_POL);
321 32822619 : x[1] = evalvarn(v); return x;
322 : }
323 : #define retconst_vec(n,x)\
324 : do { long _i, _n = (n);\
325 : GEN _v = cgetg(_n+1, t_VEC), _x = (x);\
326 : for (_i = 1; _i <= _n; _i++) gel(_v,_i) = _x;\
327 : return _v; } while(0)
328 : INLINE GEN
329 8764379 : const_vec(long n, GEN x) { retconst_vec(n, x); }
330 : #define retconst_col(n,x)\
331 : do { long _i, _n = (n);\
332 : GEN _v = cgetg(_n+1, t_COL), _x = (x);\
333 : for (_i = 1; _i <= _n; _i++) gel(_v,_i) = _x;\
334 : return _v; } while(0)
335 : INLINE GEN
336 8679291 : const_col(long n, GEN x) { retconst_col(n, x); }
337 : INLINE GEN
338 8584793 : const_vecsmall(long n, long c)
339 : {
340 : long i;
341 8584793 : GEN V = cgetg(n+1,t_VECSMALL);
342 8584953 : for(i=1;i<=n;i++) V[i] = c;
343 8584953 : return V;
344 : }
345 :
346 : /*** ZERO ***/
347 : /* O(p^e) */
348 : INLINE GEN
349 363703 : zeropadic(GEN p, long e)
350 : {
351 363703 : GEN y = cgetg(5,t_PADIC);
352 363703 : gel(y,4) = gen_0;
353 363703 : gel(y,3) = gen_1;
354 363703 : gel(y,2) = icopy(p);
355 363703 : y[1] = evalvalp(e) | _evalprecp(0);
356 363703 : return y;
357 : }
358 : INLINE GEN
359 966 : zeropadic_shallow(GEN p, long e)
360 : {
361 966 : GEN y = cgetg(5,t_PADIC);
362 966 : gel(y,4) = gen_0;
363 966 : gel(y,3) = gen_1;
364 966 : gel(y,2) = p;
365 966 : y[1] = evalvalp(e) | _evalprecp(0);
366 966 : return y;
367 : }
368 : /* O(pol_x(v)^e) */
369 : INLINE GEN
370 143591 : zeroser(long v, long e)
371 : {
372 143591 : GEN x = cgetg(2, t_SER);
373 143591 : x[1] = evalvalp(e) | evalvarn(v); return x;
374 : }
375 : INLINE int
376 5750158 : ser_isexactzero(GEN x)
377 : {
378 5750158 : if (!signe(x)) switch(lg(x))
379 : {
380 136206 : case 2: return 1;
381 854 : case 3: return isexactzero(gel(x,2));
382 : }
383 5613098 : return 0;
384 : }
385 : /* 0 * pol_x(v) */
386 : INLINE GEN
387 15543028 : zeropol(long v) { return pol_0(v); }
388 : /* vector(n) */
389 : INLINE GEN
390 37555149 : zerocol(long n)
391 : {
392 37555149 : GEN y = cgetg(n+1,t_COL);
393 37555318 : long i; for (i=1; i<=n; i++) gel(y,i) = gen_0;
394 37555318 : return y;
395 : }
396 : /* vectorv(n) */
397 : INLINE GEN
398 21786239 : zerovec(long n)
399 : {
400 21786239 : GEN y = cgetg(n+1,t_VEC);
401 21786243 : long i; for (i=1; i<=n; i++) gel(y,i) = gen_0;
402 21786243 : return y;
403 : }
404 : /* matrix(m, n) */
405 : INLINE GEN
406 23555 : zeromat(long m, long n)
407 : {
408 23555 : GEN y = cgetg(n+1,t_MAT);
409 23555 : GEN v = zerocol(m);
410 23555 : long i; for (i=1; i<=n; i++) gel(y,i) = v;
411 23555 : return y;
412 : }
413 : /* = zero_zx, sv is a evalvarn()*/
414 : INLINE GEN
415 932911 : zero_Flx(long sv) { return pol0_Flx(sv); }
416 : INLINE GEN
417 33660960 : zero_Flv(long n)
418 : {
419 33660960 : GEN y = cgetg(n+1,t_VECSMALL);
420 33662900 : long i; for (i=1; i<=n; i++) y[i] = 0;
421 33662900 : return y;
422 : }
423 : /* matrix(m, n) */
424 : INLINE GEN
425 925322 : zero_Flm(long m, long n)
426 : {
427 925322 : GEN y = cgetg(n+1,t_MAT);
428 925303 : GEN v = zero_Flv(m);
429 925320 : long i; for (i=1; i<=n; i++) gel(y,i) = v;
430 925320 : return y;
431 : }
432 : /* matrix(m, n) */
433 : INLINE GEN
434 110201 : zero_Flm_copy(long m, long n)
435 : {
436 110201 : GEN y = cgetg(n+1,t_MAT);
437 110201 : long i; for (i=1; i<=n; i++) gel(y,i) = zero_Flv(m);
438 110206 : return y;
439 : }
440 :
441 : INLINE GEN
442 797122 : zero_F2v(long m)
443 : {
444 797122 : long l = nbits2nlong(m);
445 797122 : GEN v = zero_Flv(l+1);
446 797122 : v[1] = m;
447 797122 : return v;
448 : }
449 :
450 : INLINE GEN
451 0 : zero_F2m(long m, long n)
452 : {
453 : long i;
454 0 : GEN M = cgetg(n+1, t_MAT);
455 0 : GEN v = zero_F2v(m);
456 0 : for (i = 1; i <= n; i++)
457 0 : gel(M,i) = v;
458 0 : return M;
459 : }
460 :
461 :
462 : INLINE GEN
463 277559 : zero_F2m_copy(long m, long n)
464 : {
465 : long i;
466 277559 : GEN M = cgetg(n+1, t_MAT);
467 808204 : for (i = 1; i <= n; i++)
468 530645 : gel(M,i)= zero_F2v(m);
469 277559 : return M;
470 : }
471 :
472 : /* matrix(m, n) */
473 : INLINE GEN
474 4890325 : zeromatcopy(long m, long n)
475 : {
476 4890325 : GEN y = cgetg(n+1,t_MAT);
477 4890325 : long i; for (i=1; i<=n; i++) gel(y,i) = zerocol(m);
478 4890325 : return y;
479 : }
480 :
481 : INLINE GEN
482 17605 : zerovec_block(long len)
483 : {
484 : long i;
485 17605 : GEN blk = cgetg_block(len + 1, t_VEC);
486 580965 : for (i = 1; i <= len; ++i)
487 563360 : gel(blk, i) = gen_0;
488 17605 : return blk;
489 : }
490 :
491 : /* i-th vector in the standard basis */
492 : INLINE GEN
493 1422948 : col_ei(long n, long i) { GEN e = zerocol(n); gel(e,i) = gen_1; return e; }
494 : INLINE GEN
495 337447 : vec_ei(long n, long i) { GEN e = zerovec(n); gel(e,i) = gen_1; return e; }
496 : INLINE GEN
497 42 : F2v_ei(long n, long i) { GEN e = zero_F2v(n); F2v_set(e,i); return e; }
498 : INLINE GEN
499 71540 : vecsmall_ei(long n, long i) { GEN e = zero_zv(n); e[i] = 1; return e; }
500 : INLINE GEN
501 683234 : Rg_col_ei(GEN x, long n, long i) { GEN e = zerocol(n); gel(e,i) = x; return e; }
502 :
503 : INLINE GEN
504 12703681 : shallowcopy(GEN x)
505 12703681 : { return typ(x) == t_MAT ? RgM_shallowcopy(x): leafcopy(x); }
506 :
507 : /* routines for naive growarrays */
508 : INLINE GEN
509 12710378 : vectrunc_init(long l)
510 : {
511 12710378 : GEN z = new_chunk(l);
512 12710421 : z[0] = evaltyp(t_VEC) | _evallg(1); return z;
513 : }
514 : INLINE GEN
515 203 : coltrunc_init(long l)
516 : {
517 203 : GEN z = new_chunk(l);
518 203 : z[0] = evaltyp(t_COL) | _evallg(1); return z;
519 : }
520 : INLINE void
521 257572006 : lg_increase(GEN x) { x[0]++; }
522 : INLINE void
523 51326655 : vectrunc_append(GEN x, GEN t) { gel(x, lg(x)) = t; lg_increase(x); }
524 : INLINE void
525 10416 : vectrunc_append_batch(GEN x, GEN y)
526 : {
527 10416 : long i, l = lg(x), ly = lg(y);
528 10416 : GEN z = x + l-1;
529 10416 : for (i = 1; i < ly; i++) gel(z,i) = gel(y,i);
530 10416 : setlg(x, l+ly-1);
531 10416 : }
532 : INLINE GEN
533 84510325 : vecsmalltrunc_init(long l)
534 : {
535 84510325 : GEN z = new_chunk(l);
536 84510325 : z[0] = evaltyp(t_VECSMALL) | _evallg(1); return z;
537 : }
538 : INLINE void
539 33067386 : vecsmalltrunc_append(GEN x, long t) { x[ lg(x) ] = t; lg_increase(x); }
540 :
541 : /*******************************************************************/
542 : /* */
543 : /* STRING HASH FUNCTIONS */
544 : /* */
545 : /*******************************************************************/
546 : INLINE ulong
547 1945621 : hash_str(const char *str)
548 : {
549 1945621 : ulong hash = 5381UL, c;
550 21115359 : while ( (c = (ulong)*str++) )
551 17224117 : hash = ((hash << 5) + hash) + c; /* hash * 33 + c */
552 1945621 : return hash;
553 : }
554 : INLINE ulong
555 6575444 : hash_str_len(const char *str, long len)
556 : {
557 6575444 : ulong hash = 5381UL;
558 : long i;
559 24908540 : for (i = 0; i < len; i++)
560 : {
561 18333096 : ulong c = (ulong)*str++;
562 18333096 : hash = ((hash << 5) + hash) + c; /* hash * 33 + c */
563 : }
564 6575444 : return hash;
565 : }
566 :
567 : /*******************************************************************/
568 : /* */
569 : /* VEC / COL / VECSMALL */
570 : /* */
571 : /*******************************************************************/
572 : /* shallow*/
573 : INLINE GEN
574 0 : vec_shorten(GEN v, long n)
575 : {
576 : long i;
577 0 : GEN V = cgetg(n+1,t_VEC);
578 0 : for(i=1;i<=n;i++) gel(V,i) = gel(v,i);
579 0 : return V;
580 : }
581 : /* shallow*/
582 : INLINE GEN
583 13710 : vec_lengthen(GEN v, long n)
584 : {
585 : long i;
586 13710 : long l=lg(v);
587 13710 : GEN V = cgetg(n+1,t_VEC);
588 13710 : for(i=1;i<l;i++) gel(V,i) = gel(v,i);
589 13710 : return V;
590 : }
591 : /* shallow*/
592 : INLINE GEN
593 63399 : vec_append(GEN V, GEN s)
594 : {
595 63399 : long i, l2 = lg(V);
596 63399 : GEN res = cgetg(l2+1, typ(V));
597 63399 : for (i = 1; i < l2; ++i) gel(res, i) = gel(V,i);
598 63399 : gel(res,l2) = s; return res;
599 : }
600 : /* shallow*/
601 : INLINE GEN
602 1785 : vec_prepend(GEN v, GEN s)
603 : {
604 1785 : long i, l = lg(v);
605 1785 : GEN w = cgetg(l+1, typ(v));
606 1785 : gel(w,1) = s;
607 1785 : for (i = 2; i <= l; ++i) gel(w,i) = gel(v,i-1);
608 1785 : return w;
609 : }
610 : /* shallow*/
611 : INLINE GEN
612 0 : vec_setconst(GEN v, GEN x)
613 : {
614 0 : long i, l = lg(v);
615 0 : for (i = 1; i < l; i++) gel(v,i) = x;
616 0 : return v;
617 : }
618 : INLINE GEN
619 41517 : vecsmall_shorten(GEN v, long n)
620 : {
621 : long i;
622 41517 : GEN V = cgetg(n+1,t_VECSMALL);
623 41520 : for(i=1;i<=n;i++) V[i] = v[i];
624 41520 : return V;
625 : }
626 : INLINE GEN
627 21 : vecsmall_lengthen(GEN v, long n)
628 : {
629 21 : long i, l = lg(v);
630 21 : GEN V = cgetg(n+1,t_VECSMALL);
631 21 : for(i=1;i<l;i++) V[i] = v[i];
632 21 : return V;
633 : }
634 :
635 : INLINE GEN
636 3321953 : vec_to_vecsmall(GEN x)
637 3321953 : { pari_APPLY_long(itos(gel(x,i))) }
638 : INLINE GEN
639 135186 : vecsmall_to_vec(GEN x)
640 135186 : { pari_APPLY_type(t_VEC, stoi(x[i])) }
641 : INLINE GEN
642 1617 : vecsmall_to_vec_inplace(GEN z)
643 : {
644 1617 : long i, l = lg(z);
645 1617 : for (i=1; i<l; i++) gel(z,i) = stoi(z[i]);
646 1617 : settyp(z, t_VEC); return z;
647 : }
648 : INLINE GEN
649 5227168 : vecsmall_to_col(GEN x)
650 5227168 : { pari_APPLY_type(t_COL, stoi(x[i])) }
651 :
652 : INLINE int
653 8141461 : vecsmall_lexcmp(GEN x, GEN y)
654 : {
655 : long lx,ly,l,i;
656 8141461 : lx = lg(x);
657 8141461 : ly = lg(y); l = minss(lx,ly);
658 39708083 : for (i=1; i<l; i++)
659 37836261 : if (x[i] != y[i]) return x[i]<y[i]? -1: 1;
660 1871822 : if (lx == ly) return 0;
661 14 : return (lx < ly)? -1 : 1;
662 : }
663 :
664 : INLINE int
665 85155511 : vecsmall_prefixcmp(GEN x, GEN y)
666 : {
667 85155511 : long i, lx = lg(x), ly = lg(y), l = minss(lx,ly);
668 394027655 : for (i=1; i<l; i++)
669 374395014 : if (x[i] != y[i]) return x[i]<y[i]? -1: 1;
670 19632641 : return 0;
671 : }
672 :
673 : /*Can be used on t_VEC, but coeffs not gcopy-ed*/
674 : INLINE GEN
675 21176 : vecsmall_prepend(GEN V, long s)
676 : {
677 21176 : long i, l2 = lg(V);
678 21176 : GEN res = cgetg(l2+1, typ(V));
679 21176 : res[1] = s;
680 21176 : for (i = 2; i <= l2; ++i) res[i] = V[i - 1];
681 21176 : return res;
682 : }
683 :
684 : INLINE GEN
685 3128857 : vecsmall_append(GEN V, long s)
686 : {
687 3128857 : long i, l2 = lg(V);
688 3128857 : GEN res = cgetg(l2+1, t_VECSMALL);
689 3128856 : for (i = 1; i < l2; ++i) res[i] = V[i];
690 3128856 : res[l2] = s; return res;
691 : }
692 :
693 : INLINE GEN
694 787904 : vecsmall_concat(GEN u, GEN v)
695 : {
696 787904 : long i, l1 = lg(u)-1, l2 = lg(v)-1;
697 787904 : GEN res = cgetg(l1+l2+1, t_VECSMALL);
698 787904 : for (i = 1; i <= l1; ++i) res[i] = u[i];
699 787904 : for (i = 1; i <= l2; ++i) res[i+l1] = v[i];
700 787904 : return res;
701 : }
702 :
703 : /* return the number of indices where u and v are equal */
704 : INLINE long
705 0 : vecsmall_coincidence(GEN u, GEN v)
706 : {
707 0 : long i, s = 0, l = minss(lg(u),lg(v));
708 0 : for(i=1; i<l; i++)
709 0 : if(u[i] == v[i]) s++;
710 0 : return s;
711 : }
712 :
713 : /* returns the first index i<=n such that x=v[i] if it exists, 0 otherwise */
714 : INLINE long
715 0 : vecsmall_isin(GEN v, long x)
716 : {
717 0 : long i, l = lg(v);
718 0 : for (i = 1; i < l; i++)
719 0 : if (v[i] == x) return i;
720 0 : return 0;
721 : }
722 :
723 : INLINE long
724 84 : vecsmall_pack(GEN V, long base, long mod)
725 : {
726 84 : long i, s = 0;
727 84 : for(i=1; i<lg(V); i++) s = (base*s + V[i]) % mod;
728 84 : return s;
729 : }
730 :
731 : INLINE long
732 14 : vecsmall_indexmax(GEN x)
733 : {
734 14 : long i, i0 = 1, t = x[1], lx = lg(x);
735 56 : for (i=2; i<lx; i++)
736 42 : if (x[i] > t) t = x[i0=i];
737 14 : return i0;
738 : }
739 :
740 : INLINE long
741 178813 : vecsmall_max(GEN x)
742 : {
743 178813 : long i, t = x[1], lx = lg(x);
744 640770 : for (i=2; i<lx; i++)
745 461957 : if (x[i] > t) t = x[i];
746 178813 : return t;
747 : }
748 :
749 : INLINE long
750 14 : vecsmall_indexmin(GEN x)
751 : {
752 14 : long i, i0 = 1, t = x[1], lx =lg(x);
753 56 : for (i=2; i<lx; i++)
754 42 : if (x[i] < t) t = x[i0=i];
755 14 : return i0;
756 : }
757 :
758 : INLINE long
759 1421 : vecsmall_min(GEN x)
760 : {
761 1421 : long i, t = x[1], lx =lg(x);
762 9947 : for (i=2; i<lx; i++)
763 8526 : if (x[i] < t) t = x[i];
764 1421 : return t;
765 : }
766 :
767 : INLINE int
768 5045505 : ZV_isscalar(GEN x)
769 : {
770 5045505 : long l = lg(x);
771 14375989 : while (--l > 1)
772 8216621 : if (signe(gel(x, l))) return 0;
773 1113863 : return 1;
774 : }
775 : INLINE int
776 19627743 : QV_isscalar(GEN x)
777 : {
778 19627743 : long lx = lg(x),i;
779 21190089 : for (i=2; i<lx; i++)
780 20606861 : if (!isintzero(gel(x, i))) return 0;
781 583228 : return 1;
782 : }
783 : INLINE int
784 7676 : RgV_isscalar(GEN x)
785 : {
786 7676 : long lx = lg(x),i;
787 11255 : for (i=2; i<lx; i++)
788 9998 : if (!gequal0(gel(x, i))) return 0;
789 1257 : return 1;
790 : }
791 : INLINE int
792 0 : RgX_isscalar(GEN x)
793 : {
794 : long i;
795 0 : for (i=lg(x)-1; i>2; i--)
796 0 : if (!gequal0(gel(x, i))) return 0;
797 0 : return 1;
798 : }
799 : INLINE long
800 28786681 : RgX_equal_var(GEN x, GEN y) { return varn(x) == varn(y) && RgX_equal(x,y); }
801 :
802 : INLINE int
803 6539 : RgX_is_rational(GEN x)
804 : {
805 : long i;
806 30695 : for (i = lg(x)-1; i > 1; i--)
807 28566 : if (!is_rational_t(typ(gel(x,i)))) return 0;
808 2129 : return 1;
809 : }
810 : INLINE int
811 4466975 : RgX_is_ZX(GEN x)
812 : {
813 : long i;
814 19190322 : for (i = lg(x)-1; i > 1; i--)
815 14775894 : if (typ(gel(x,i)) != t_INT) return 0;
816 4414428 : return 1;
817 : }
818 : INLINE int
819 263326 : RgX_is_QX(GEN x)
820 : {
821 263326 : long k = lg(x)-1;
822 930536 : for ( ; k>1; k--)
823 667455 : if (!is_rational_t(typ(gel(x,k)))) return 0;
824 263081 : return 1;
825 : }
826 : INLINE int
827 2348352 : RgX_is_monomial(GEN x)
828 : {
829 : long i;
830 2348352 : if (!signe(x)) return 0;
831 5858993 : for (i=lg(x)-2; i>1; i--)
832 3565585 : if (!isexactzero(gel(x,i))) return 0;
833 2293408 : return 1;
834 : }
835 : INLINE int
836 27439862 : RgV_is_ZV(GEN x)
837 : {
838 : long i;
839 112522062 : for (i = lg(x)-1; i > 0; i--)
840 85084482 : if (typ(gel(x,i)) != t_INT) return 0;
841 27437580 : return 1;
842 : }
843 : INLINE int
844 21130 : RgV_is_QV(GEN x)
845 : {
846 : long i;
847 84951 : for (i = lg(x)-1; i > 0; i--)
848 65445 : if (!is_rational_t(typ(gel(x,i)))) return 0;
849 19506 : return 1;
850 : }
851 :
852 : /********************************************************************/
853 : /** **/
854 : /** Dynamic arrays implementation **/
855 : /** **/
856 : /********************************************************************/
857 : INLINE void **
858 403672275 : pari_stack_base(pari_stack *s) { return s->data; }
859 :
860 : INLINE void
861 1797930 : pari_stack_init(pari_stack *s, size_t size, void **data)
862 : {
863 1797930 : s->data = data;
864 1797930 : *data = NULL;
865 1797930 : s->n = 0;
866 1797930 : s->alloc = 0;
867 1797930 : s->size = size;
868 1797930 : }
869 :
870 : INLINE void
871 401964886 : pari_stack_alloc(pari_stack *s, long nb)
872 : {
873 401964886 : void **sdat = pari_stack_base(s);
874 401848190 : long alloc = s->alloc;
875 401848190 : if (s->n+nb <= alloc) return;
876 662988 : if (!alloc)
877 609272 : alloc = nb;
878 : else
879 : {
880 53716 : while (s->n+nb > alloc) alloc <<= 1;
881 : }
882 662988 : *sdat = pari_realloc(*sdat,alloc*s->size);
883 663709 : s->alloc = alloc;
884 : }
885 :
886 : INLINE long
887 324157767 : pari_stack_new(pari_stack *s) { pari_stack_alloc(s, 1); return s->n++; }
888 :
889 : INLINE void
890 1748402 : pari_stack_delete(pari_stack *s)
891 : {
892 1748402 : void **sdat = pari_stack_base(s);
893 1746109 : if (*sdat) pari_free(*sdat);
894 1755570 : }
895 :
896 : INLINE void
897 4808 : pari_stack_pushp(pari_stack *s, void *u)
898 : {
899 4808 : long n = pari_stack_new(s);
900 4808 : void **sdat =(void**) *pari_stack_base(s);
901 4808 : sdat[n] = u;
902 4808 : }
903 :
904 : /*******************************************************************/
905 : /* */
906 : /* EXTRACT */
907 : /* */
908 : /*******************************************************************/
909 : INLINE GEN
910 202784415 : vecslice(GEN A, long y1, long y2)
911 : {
912 202784415 : long i,lB = y2 - y1 + 2;
913 202784415 : GEN B = cgetg(lB, typ(A));
914 202786429 : for (i=1; i<lB; i++) B[i] = A[y1-1+i];
915 202786429 : return B;
916 : }
917 : INLINE GEN
918 817771 : vecslicepermute(GEN A, GEN p, long y1, long y2)
919 : {
920 817771 : long i,lB = y2 - y1 + 2;
921 817771 : GEN B = cgetg(lB, typ(A));
922 817775 : for (i=1; i<lB; i++) B[i] = A[p[y1-1+i]];
923 817775 : return B;
924 : }
925 : /* rowslice(rowpermute(A,p), x1, x2) */
926 : INLINE GEN
927 40668 : rowslicepermute(GEN x, GEN p, long j1, long j2)
928 40668 : { pari_APPLY_same(vecslicepermute(gel(x,i),p,j1,j2)) }
929 :
930 : INLINE GEN
931 22432540 : rowslice(GEN x, long j1, long j2)
932 22432540 : { pari_APPLY_same(vecslice(gel(x,i), j1, j2)) }
933 :
934 : INLINE GEN
935 3712573 : matslice(GEN A, long x1, long x2, long y1, long y2)
936 3712573 : { return rowslice(vecslice(A, y1, y2), x1, x2); }
937 :
938 : /* shallow, remove coeff of index j */
939 : INLINE GEN
940 133 : rowsplice(GEN x, long j)
941 133 : { pari_APPLY_same(vecsplice(gel(x,i), j)) }
942 :
943 : /* shallow, remove coeff of index j */
944 : INLINE GEN
945 263760 : vecsplice(GEN a, long j)
946 : {
947 263760 : long i, k, l = lg(a);
948 : GEN b;
949 263760 : if (l == 1) pari_err(e_MISC, "incorrect component in vecsplice");
950 263760 : b = cgetg(l-1, typ(a));
951 1054018 : for (i = k = 1; i < l; i++)
952 790258 : if (i != j) gel(b, k++) = gel(a,i);
953 263760 : return b;
954 : }
955 : /* shallow */
956 : INLINE GEN
957 833 : RgM_minor(GEN a, long i, long j)
958 : {
959 833 : GEN b = vecsplice(a, j);
960 833 : long k, l = lg(b);
961 833 : for (k = 1; k < l; k++) gel(b,k) = vecsplice(gel(b,k), i);
962 833 : return b;
963 : }
964 :
965 : /* A[x0,] */
966 : INLINE GEN
967 390422 : row(GEN x, long j)
968 390422 : { pari_APPLY_type(t_VEC, gcoeff(x, j, i)) }
969 : INLINE GEN
970 3771526 : Flm_row(GEN x, long j)
971 3771526 : { pari_APPLY_ulong((ulong)coeff(x, j, i)) }
972 : /* A[x0,] */
973 : INLINE GEN
974 204820 : rowcopy(GEN x, long j)
975 204820 : { pari_APPLY_type(t_VEC, gcopy(gcoeff(x, j, i))) }
976 : /* A[x0, x1..x2] */
977 : INLINE GEN
978 2303 : row_i(GEN A, long x0, long x1, long x2)
979 : {
980 2303 : long i, lB = x2 - x1 + 2;
981 2303 : GEN B = cgetg(lB, t_VEC);
982 2303 : for (i=x1; i<=x2; i++) gel(B, i) = gcoeff(A, x0, i);
983 2303 : return B;
984 : }
985 :
986 : INLINE GEN
987 5830525 : vecreverse(GEN A)
988 : {
989 : long i, l;
990 5830525 : GEN B = cgetg_copy(A, &l);
991 5830525 : for (i=1; i<l; i++) gel(B, i) = gel(A, l-i);
992 5830525 : return B;
993 : }
994 :
995 : INLINE GEN
996 329 : vecsmall_reverse(GEN A)
997 : {
998 : long i, l;
999 329 : GEN B = cgetg_copy(A, &l);
1000 329 : for (i=1; i<l; i++) B[i] = A[l-i];
1001 329 : return B;
1002 : }
1003 :
1004 : INLINE void
1005 253 : vecreverse_inplace(GEN y)
1006 : {
1007 253 : long l = lg(y), lim = l>>1, i;
1008 717 : for (i = 1; i <= lim; i++)
1009 : {
1010 464 : GEN z = gel(y,i);
1011 464 : gel(y,i) = gel(y,l-i);
1012 464 : gel(y,l-i) = z;
1013 : }
1014 253 : }
1015 :
1016 : INLINE GEN
1017 45484457 : vecsmallpermute(GEN A, GEN p) { return perm_mul(A, p); }
1018 :
1019 : INLINE GEN
1020 6509476 : vecpermute(GEN A, GEN x)
1021 6509476 : { pari_APPLY_type(typ(A), gel(A, x[i])) }
1022 :
1023 : INLINE GEN
1024 3017973 : rowpermute(GEN x, GEN p)
1025 3017973 : { pari_APPLY_same(typ(gel(x,i)) == t_VECSMALL ? vecsmallpermute(gel(x, i), p)
1026 : : vecpermute(gel(x, i), p))
1027 : }
1028 : /*******************************************************************/
1029 : /* */
1030 : /* PERMUTATIONS */
1031 : /* */
1032 : /*******************************************************************/
1033 : /* identity permutation */
1034 : INLINE GEN
1035 729176 : identity_perm(long n)
1036 : {
1037 729176 : GEN perm = cgetg(n+1, t_VECSMALL);
1038 : long i;
1039 729164 : for (i = 1; i <= n; i++) perm[i] = i;
1040 729164 : return perm;
1041 : }
1042 :
1043 : /* assume d <= n */
1044 : INLINE GEN
1045 98434 : cyclic_perm(long n, long d)
1046 : {
1047 98434 : GEN perm = cgetg(n+1, t_VECSMALL);
1048 : long i;
1049 98434 : for (i = 1; i <= n-d; i++) perm[i] = i+d;
1050 98434 : for ( ; i <= n; i++) perm[i] = i-n+d;
1051 98434 : return perm;
1052 : }
1053 :
1054 : /* Multiply (compose) two permutations */
1055 : INLINE GEN
1056 46729272 : perm_mul(GEN s, GEN x)
1057 46729272 : { pari_APPLY_long(s[x[i]]) }
1058 :
1059 : /* Compute the inverse (reciprocal) of a permutation. */
1060 : INLINE GEN
1061 1163378 : perm_inv(GEN x)
1062 : {
1063 : long i, lx;
1064 1163378 : GEN y = cgetg_copy(x, &lx);
1065 1163378 : for (i=1; i<lx; i++) y[ x[i] ] = i;
1066 1163378 : return y;
1067 : }
1068 : /* Return s*t*s^-1 */
1069 : INLINE GEN
1070 416934 : perm_conj(GEN s, GEN t)
1071 : {
1072 : long i, l;
1073 416934 : GEN v = cgetg_copy(s, &l);
1074 416934 : for (i = 1; i < l; i++) v[ s[i] ] = s[ t[i] ];
1075 416934 : return v;
1076 : }
1077 :
1078 : /*********************************************************************/
1079 : /* MALLOC/FREE WRAPPERS */
1080 : /*********************************************************************/
1081 : #define BLOCK_SIGALRM_START \
1082 : { \
1083 : int block=PARI_SIGINT_block; \
1084 : PARI_SIGINT_block = 2; \
1085 : MT_SIGINT_BLOCK(block);
1086 :
1087 : #define BLOCK_SIGINT_START \
1088 : { \
1089 : int block=PARI_SIGINT_block; \
1090 : PARI_SIGINT_block = 1; \
1091 : MT_SIGINT_BLOCK(block);
1092 :
1093 : #define BLOCK_SIGINT_END \
1094 : PARI_SIGINT_block = block; \
1095 : MT_SIGINT_UNBLOCK(block); \
1096 : if (!block && PARI_SIGINT_pending) \
1097 : { \
1098 : int sig = PARI_SIGINT_pending; \
1099 : PARI_SIGINT_pending = 0; \
1100 : raise(sig); \
1101 : } \
1102 : }
1103 :
1104 : INLINE void
1105 72183396 : pari_free(void *pointer)
1106 : {
1107 72183396 : BLOCK_SIGINT_START;
1108 72200067 : free(pointer);
1109 72200067 : BLOCK_SIGINT_END;
1110 72196176 : }
1111 : INLINE void*
1112 279195672 : pari_malloc(size_t size)
1113 : {
1114 279195672 : if (size)
1115 : {
1116 : char *tmp;
1117 279195672 : BLOCK_SIGINT_START;
1118 279198444 : tmp = (char*)malloc(size);
1119 279198444 : BLOCK_SIGINT_END;
1120 279198059 : if (!tmp) pari_err(e_MEM);
1121 279198059 : return tmp;
1122 : }
1123 0 : return NULL;
1124 : }
1125 : INLINE void*
1126 677710 : pari_realloc(void *pointer, size_t size)
1127 : {
1128 : char *tmp;
1129 :
1130 677710 : BLOCK_SIGINT_START;
1131 679331 : if (!pointer) tmp = (char *) malloc(size);
1132 57554 : else tmp = (char *) realloc(pointer,size);
1133 679331 : BLOCK_SIGINT_END;
1134 678774 : if (!tmp) pari_err(e_MEM);
1135 678774 : return tmp;
1136 : }
1137 : INLINE void*
1138 37372 : pari_calloc(size_t size)
1139 : {
1140 37372 : void *t = pari_malloc(size);
1141 37372 : memset(t, 0, size); return t;
1142 : }
1143 : INLINE GEN
1144 5813 : cgetalloc(long t, size_t l)
1145 : {
1146 5813 : GEN x = (GEN)pari_malloc(l * sizeof(long));
1147 5813 : x[0] = evaltyp(t) | evallg(l); return x;
1148 : }
1149 :
1150 : /*******************************************************************/
1151 : /* */
1152 : /* GARBAGE COLLECTION */
1153 : /* */
1154 : /*******************************************************************/
1155 : /* copy integer x as if we had set_avma(av) */
1156 : INLINE GEN
1157 3804015030 : icopy_avma(GEN x, pari_sp av)
1158 : {
1159 3804015030 : long i = lgefint(x), lx = i;
1160 3804015030 : GEN y = ((GEN)av) - i;
1161 3804015030 : while (--i > 0) y[i] = x[i];
1162 3804015030 : y[0] = evaltyp(t_INT)|evallg(lx);
1163 3803841257 : return y;
1164 : }
1165 : /* copy leaf x as if we had set_avma(av) */
1166 : INLINE GEN
1167 177936392 : leafcopy_avma(GEN x, pari_sp av)
1168 : {
1169 177936392 : long i = lg(x);
1170 177936392 : GEN y = ((GEN)av) - i;
1171 177936392 : while (--i > 0) y[i] = x[i];
1172 177936392 : y[0] = x[0] & (~CLONEBIT);
1173 177936392 : return y;
1174 : }
1175 : INLINE GEN
1176 649961056 : gerepileuptoleaf(pari_sp av, GEN x)
1177 : {
1178 : long lx;
1179 : GEN q;
1180 :
1181 649961056 : if (!isonstack(x) || (GEN)av<=x) { set_avma(av); return x; }
1182 649962324 : lx = lg(x);
1183 649962324 : q = ((GEN)av) - lx;
1184 649962324 : set_avma((pari_sp)q);
1185 651426474 : while (--lx >= 0) q[lx] = x[lx];
1186 651426474 : return q;
1187 : }
1188 : INLINE GEN
1189 1280289223 : gerepileuptoint(pari_sp av, GEN x)
1190 : {
1191 1280289223 : if (!isonstack(x) || (GEN)av<=x) { set_avma(av); return x; }
1192 1132350024 : set_avma((pari_sp)icopy_avma(x, av));
1193 1134379233 : return (GEN)avma;
1194 : }
1195 : INLINE GEN
1196 805569550 : gerepileupto(pari_sp av, GEN x)
1197 : {
1198 805569550 : if (!isonstack(x) || (GEN)av<=x) { set_avma(av); return x; }
1199 716036296 : switch(typ(x))
1200 : { /* non-default = !is_recursive_t(tq) */
1201 252649478 : case t_INT: return gerepileuptoint(av, x);
1202 : case t_REAL:
1203 : case t_STR:
1204 145363802 : case t_VECSMALL: return gerepileuptoleaf(av,x);
1205 : default:
1206 : /* NB: x+i --> ((long)x) + i*sizeof(long) */
1207 318023016 : return gerepile(av, (pari_sp) (x+lg(x)), x);
1208 : }
1209 : }
1210 : INLINE double
1211 2286449 : gc_double(pari_sp av, double d) { set_avma(av); return d; }
1212 : INLINE long
1213 112931761 : gc_long(pari_sp av, long s) { set_avma(av); return s; }
1214 : INLINE ulong
1215 15242017 : gc_ulong(pari_sp av, ulong s) { set_avma(av); return s; }
1216 : INLINE int
1217 21955582 : gc_bool(pari_sp av, int s) { set_avma(av); return s; }
1218 : INLINE int
1219 3366450 : gc_int(pari_sp av, int s) { set_avma(av); return s; }
1220 : INLINE GEN
1221 1611977 : gc_NULL(pari_sp av) { set_avma(av); return NULL; }
1222 :
1223 : /* gerepileupto(av, gcopy(x)) */
1224 : INLINE GEN
1225 53142261 : gerepilecopy(pari_sp av, GEN x)
1226 : {
1227 53142261 : if (is_recursive_t(typ(x)))
1228 : {
1229 48526360 : GENbin *p = copy_bin(x);
1230 48526911 : set_avma(av); return bin_copy(p);
1231 : }
1232 : else
1233 : {
1234 4615906 : set_avma(av);
1235 4615906 : if (x < (GEN)av) {
1236 3128477 : if (x < (GEN)pari_mainstack->bot) new_chunk(lg(x));
1237 3128477 : x = leafcopy_avma(x, av);
1238 3128485 : set_avma((pari_sp)x);
1239 : } else
1240 1487429 : x = leafcopy(x);
1241 4615910 : return x;
1242 : }
1243 : }
1244 :
1245 : INLINE void
1246 27338747 : guncloneNULL(GEN x) { if (x) gunclone(x); }
1247 : INLINE void
1248 170431 : guncloneNULL_deep(GEN x) { if (x) gunclone_deep(x); }
1249 :
1250 : /* Takes an array of pointers to GENs, of length n. Copies all
1251 : * objects to contiguous locations and cleans up the stack between
1252 : * av and avma. */
1253 : INLINE void
1254 199026 : gerepilemany(pari_sp av, GEN* gptr[], int n)
1255 : {
1256 : int i;
1257 199026 : for (i=0; i<n; i++) *gptr[i] = (GEN)copy_bin(*gptr[i]);
1258 199026 : set_avma(av);
1259 199026 : for (i=0; i<n; i++) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1260 199026 : }
1261 :
1262 : INLINE void
1263 7581835 : gerepileall(pari_sp av, int n, ...)
1264 : {
1265 : int i;
1266 7581835 : va_list a; va_start(a, n);
1267 7581835 : if (n < 10)
1268 : {
1269 : GEN *gptr[10];
1270 21957082 : for (i=0; i<n; i++)
1271 14375187 : { gptr[i] = va_arg(a,GEN*); *gptr[i] = (GEN)copy_bin(*gptr[i]); }
1272 7581895 : set_avma(av);
1273 7581827 : for (--i; i>=0; i--) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1274 :
1275 : }
1276 : else
1277 : {
1278 0 : GEN **gptr = (GEN**) pari_malloc(n*sizeof(GEN*));
1279 0 : for (i=0; i<n; i++)
1280 0 : { gptr[i] = va_arg(a,GEN*); *gptr[i] = (GEN)copy_bin(*gptr[i]); }
1281 0 : set_avma(av);
1282 0 : for (--i; i>=0; i--) *gptr[i] = bin_copy((GENbin*)*gptr[i]);
1283 0 : pari_free(gptr);
1284 : }
1285 7581953 : va_end(a);
1286 7581953 : }
1287 :
1288 : INLINE void
1289 6 : gerepilecoeffs(pari_sp av, GEN x, int n)
1290 : {
1291 : int i;
1292 6 : for (i=0; i<n; i++) gel(x,i) = (GEN)copy_bin(gel(x,i));
1293 6 : set_avma(av);
1294 6 : for (i=0; i<n; i++) gel(x,i) = bin_copy((GENbin*)x[i]);
1295 6 : }
1296 :
1297 : /* p from copy_bin. Copy p->x back to stack, then destroy p */
1298 : INLINE GEN
1299 63514162 : bin_copy(GENbin *p)
1300 : {
1301 : GEN x, y, base;
1302 : long dx, len;
1303 :
1304 63514162 : x = p->x; if (!x) { pari_free(p); return gen_0; }
1305 63506953 : len = p->len;
1306 63506953 : base= p->base; dx = x - base;
1307 63506953 : y = (GEN)memcpy((void*)new_chunk(len), (void*)GENbinbase(p), len*sizeof(long));
1308 63506847 : y += dx;
1309 63506847 : p->rebase(y, ((ulong)y-(ulong)x));
1310 63506853 : pari_free(p); return y;
1311 : }
1312 :
1313 : INLINE GEN
1314 127021264 : GENbinbase(GENbin *p) { return (GEN)(p + 1); }
1315 :
1316 : INLINE void
1317 31953975 : cgiv(GEN x)
1318 : {
1319 31953975 : pari_sp av = (pari_sp)(x+lg(x));
1320 31953975 : if (isonstack((GEN)av)) set_avma(av);
1321 31953695 : }
1322 :
1323 : INLINE void
1324 1257788 : killblock(GEN x) { gunclone(x); }
1325 :
1326 : INLINE int
1327 25930049 : is_universal_constant(GEN x) { return (x >= gen_0 && x <= ghalf); }
1328 :
1329 : /*******************************************************************/
1330 : /* */
1331 : /* CONVERSION / ASSIGNMENT */
1332 : /* */
1333 : /*******************************************************************/
1334 : /* z is a type which may be a t_COMPLEX component (not a t_QUAD) */
1335 : INLINE GEN
1336 3457026 : cxcompotor(GEN z, long prec)
1337 : {
1338 3457026 : switch(typ(z))
1339 : {
1340 1889495 : case t_INT: return itor(z, prec);
1341 136682 : case t_FRAC: return fractor(z, prec);
1342 1430849 : case t_REAL: return rtor(z, prec);
1343 0 : default: pari_err_TYPE("cxcompotor",z);
1344 : return NULL; /* LCOV_EXCL_LINE */
1345 : }
1346 : }
1347 : INLINE GEN
1348 1714618 : cxtofp(GEN x, long prec)
1349 1714618 : { retmkcomplex(cxcompotor(gel(x,1),prec), cxcompotor(gel(x,2),prec)); }
1350 :
1351 : INLINE GEN
1352 291172 : cxtoreal(GEN q)
1353 291172 : { return (typ(q) == t_COMPLEX && gequal0(gel(q,2)))? gel(q,1): q; }
1354 :
1355 : INLINE double
1356 33880557 : gtodouble(GEN x)
1357 : {
1358 33880557 : if (typ(x)!=t_REAL) {
1359 7449795 : pari_sp av = avma;
1360 7449795 : x = gtofp(x, DEFAULTPREC);
1361 7449795 : if (typ(x)!=t_REAL) pari_err_TYPE("gtodouble [t_REAL expected]", x);
1362 7449795 : set_avma(av);
1363 : }
1364 33880557 : return rtodbl(x);
1365 : }
1366 : INLINE long
1367 73372732 : gtos(GEN x) {
1368 73372732 : if (typ(x) != t_INT) pari_err_TYPE("gtos [integer expected]",x);
1369 73372725 : return itos(x);
1370 : }
1371 :
1372 : INLINE ulong
1373 152299 : gtou(GEN x) {
1374 152299 : if (typ(x) != t_INT || signe(x)<0)
1375 0 : pari_err_TYPE("gtou [integer >=0 expected]",x);
1376 152319 : return itou(x);
1377 : }
1378 :
1379 : INLINE GEN
1380 23066660 : absfrac(GEN x)
1381 : {
1382 23066660 : GEN y = cgetg(3, t_FRAC);
1383 23066660 : gel(y,1) = absi(gel(x,1));
1384 23066660 : gel(y,2) = icopy(gel(x,2)); return y;
1385 : }
1386 : INLINE GEN
1387 32665 : absfrac_shallow(GEN x)
1388 32665 : { return signe(gel(x,1))>0? x: mkfrac(negi(gel(x,1)), gel(x,2)); }
1389 : INLINE GEN
1390 7746180 : Q_abs(GEN x) { return (typ(x) == t_INT)? absi(x): absfrac(x); }
1391 : INLINE GEN
1392 130779 : Q_abs_shallow(GEN x)
1393 130779 : { return (typ(x) == t_INT)? absi_shallow(x): absfrac_shallow(x); }
1394 : INLINE GEN
1395 322 : R_abs_shallow(GEN x)
1396 322 : { return (typ(x) == t_FRAC)? absfrac_shallow(x): mpabs_shallow(x); }
1397 : INLINE GEN
1398 0 : R_abs(GEN x)
1399 0 : { return (typ(x) == t_FRAC)? absfrac(x): mpabs(x); }
1400 :
1401 : /* Force z to be of type real/complex with floating point components */
1402 : INLINE GEN
1403 35818073 : gtofp(GEN z, long prec)
1404 : {
1405 35818073 : switch(typ(z))
1406 : {
1407 22478149 : case t_INT: return itor(z, prec);
1408 4311592 : case t_FRAC: return fractor(z, prec);
1409 7544800 : case t_REAL: return rtor(z, prec);
1410 : case t_COMPLEX: {
1411 1483532 : GEN a = gel(z,1), b = gel(z,2);
1412 1483532 : if (isintzero(b)) return cxcompotor(a, prec);
1413 1480960 : if (isintzero(a)) {
1414 3024 : GEN y = cgetg(3, t_COMPLEX);
1415 3024 : b = cxcompotor(b, prec);
1416 3024 : gel(y,1) = real_0_bit(expo(b) - prec2nbits(prec));
1417 3024 : gel(y,2) = b; return y;
1418 : }
1419 1477936 : return cxtofp(z, prec);
1420 : }
1421 0 : case t_QUAD: return quadtofp(z, prec);
1422 0 : default: pari_err_TYPE("gtofp",z);
1423 : return NULL; /* LCOV_EXCL_LINE */
1424 : }
1425 : }
1426 : /* Force z to be of type real / int */
1427 : INLINE GEN
1428 22400 : gtomp(GEN z, long prec)
1429 : {
1430 22400 : switch(typ(z))
1431 : {
1432 14 : case t_INT: return z;
1433 22386 : case t_FRAC: return fractor(z, prec);
1434 0 : case t_REAL: return rtor(z, prec);
1435 0 : case t_QUAD: z = quadtofp(z, prec);
1436 0 : if (typ(z) == t_REAL) return z;
1437 0 : default: pari_err_TYPE("gtomp",z);
1438 : return NULL; /* LCOV_EXCL_LINE */
1439 : }
1440 : }
1441 :
1442 : INLINE GEN
1443 761993 : RgX_gtofp(GEN x, long prec)
1444 : {
1445 : long l;
1446 761993 : GEN y = cgetg_copy(x, &l);
1447 761993 : while (--l > 1) gel(y,l) = gtofp(gel(x,l), prec);
1448 761993 : y[1] = x[1]; return y;
1449 : }
1450 : INLINE GEN
1451 1193079 : RgC_gtofp(GEN x, long prec)
1452 1193079 : { pari_APPLY_type(t_COL, gtofp(gel(x,i), prec)) }
1453 :
1454 : INLINE GEN
1455 42 : RgV_gtofp(GEN x, long prec)
1456 42 : { pari_APPLY_type(t_VEC, gtofp(gel(x,i), prec)) }
1457 :
1458 : INLINE GEN
1459 134662 : RgM_gtofp(GEN x, long prec)
1460 134662 : { pari_APPLY_same(RgC_gtofp(gel(x,i), prec)) }
1461 :
1462 : INLINE GEN
1463 560 : RgC_gtomp(GEN x, long prec)
1464 560 : { pari_APPLY_type(t_COL, gtomp(gel(x,i), prec)) }
1465 :
1466 : INLINE GEN
1467 14 : RgM_gtomp(GEN x, long prec)
1468 14 : { pari_APPLY_same(RgC_gtomp(gel(x,i), prec)) }
1469 :
1470 : INLINE GEN
1471 9374 : RgX_fpnorml2(GEN x, long prec)
1472 : {
1473 9374 : pari_sp av = avma;
1474 9374 : return gerepileupto(av, gnorml2(RgX_gtofp(x, prec)));
1475 : }
1476 : INLINE GEN
1477 187439 : RgC_fpnorml2(GEN x, long prec)
1478 : {
1479 187439 : pari_sp av = avma;
1480 187439 : return gerepileupto(av, gnorml2(RgC_gtofp(x, prec)));
1481 : }
1482 : INLINE GEN
1483 3860 : RgM_fpnorml2(GEN x, long prec)
1484 : {
1485 3860 : pari_sp av = avma;
1486 3860 : return gerepileupto(av, gnorml2(RgM_gtofp(x, prec)));
1487 : }
1488 :
1489 : /* y a t_REAL */
1490 : INLINE void
1491 216244 : affgr(GEN x, GEN y)
1492 : {
1493 : pari_sp av;
1494 216244 : switch(typ(x)) {
1495 5992 : case t_INT: affir(x,y); break;
1496 210252 : case t_REAL: affrr(x,y); break;
1497 0 : case t_FRAC: rdiviiz(gel(x,1),gel(x,2), y); break;
1498 0 : case t_QUAD: av = avma; affgr(quadtofp(x,realprec(y)), y); set_avma(av); break;
1499 0 : default: pari_err_TYPE2("=",x,y);
1500 : }
1501 216244 : }
1502 :
1503 : INLINE GEN
1504 260957 : affc_fixlg(GEN x, GEN res)
1505 : {
1506 260957 : if (typ(x) == t_COMPLEX)
1507 : {
1508 207515 : affrr_fixlg(gel(x,1), gel(res,1));
1509 207515 : affrr_fixlg(gel(x,2), gel(res,2));
1510 : }
1511 : else
1512 : {
1513 53442 : set_avma((pari_sp)(res+3));
1514 53442 : res = cgetr(realprec(gel(res,1)));
1515 53442 : affrr_fixlg(x, res);
1516 : }
1517 260957 : return res;
1518 : }
1519 :
1520 : INLINE GEN
1521 0 : trunc_safe(GEN x) { long e; return gcvtoi(x,&e); }
1522 :
1523 : /*******************************************************************/
1524 : /* */
1525 : /* LENGTH CONVERSIONS */
1526 : /* */
1527 : /*******************************************************************/
1528 : INLINE long
1529 32363 : ndec2nlong(long x) { return 1 + (long)((x)*(LOG2_10/BITS_IN_LONG)); }
1530 : INLINE long
1531 23885 : ndec2prec(long x) { return 2 + ndec2nlong(x); }
1532 : INLINE long
1533 8478 : ndec2nbits(long x) { return ndec2nlong(x) << TWOPOTBITS_IN_LONG; }
1534 : /* Fast implementation of ceil(x / (8*sizeof(long))); typecast to (ulong)
1535 : * to avoid overflow. Faster than 1 + ((x-1)>>TWOPOTBITS_IN_LONG)) :
1536 : * addl, shrl instead of subl, sarl, addl */
1537 : INLINE long
1538 1191953 : nbits2nlong(long x) {
1539 1191953 : return (long)(((ulong)x+BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1540 : }
1541 :
1542 : INLINE long
1543 317116999 : nbits2extraprec(long x) {
1544 317116999 : return (long)(((ulong)x+BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1545 : }
1546 :
1547 : /* Fast implementation of 2 + nbits2nlong(x) */
1548 : INLINE long
1549 109745771 : nbits2prec(long x) {
1550 109745771 : return (long)(((ulong)x+3*BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1551 : }
1552 : INLINE long
1553 7699399 : nbits2lg(long x) {
1554 7699399 : return (long)(((ulong)x+3*BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
1555 : }
1556 : /* ceil(x / sizeof(long)) */
1557 : INLINE long
1558 9994403 : nchar2nlong(long x) {
1559 9994403 : return (long)(((ulong)x+sizeof(long)-1) >> (TWOPOTBITS_IN_LONG-3L));
1560 : }
1561 : INLINE long
1562 1163215830 : prec2nbits(long x) { return (x-2) * BITS_IN_LONG; }
1563 : INLINE double
1564 566023 : bit_accuracy_mul(long x, double y) { return (x-2) * (BITS_IN_LONG*y); }
1565 : INLINE double
1566 302069 : prec2nbits_mul(long x, double y) { return (x-2) * (BITS_IN_LONG*y); }
1567 : INLINE long
1568 32725744 : bit_prec(GEN x) { return prec2nbits(realprec(x)); }
1569 : INLINE long
1570 1049042296 : bit_accuracy(long x) { return prec2nbits(x); }
1571 : INLINE long
1572 12448 : prec2ndec(long x) { return (long)prec2nbits_mul(x, LOG10_2); }
1573 : INLINE long
1574 193 : nbits2ndec(long x) { return (long)(x * LOG10_2); }
1575 : INLINE long
1576 3143 : precdbl(long x) {return (x - 1) << 1;}
1577 : INLINE long
1578 3481422918 : divsBIL(long n) { return n >> TWOPOTBITS_IN_LONG; }
1579 : INLINE long
1580 3436837839 : remsBIL(long n) { return n & (BITS_IN_LONG-1); }
1581 :
1582 : /*********************************************************************/
1583 : /** **/
1584 : /** OPERATIONS MODULO m **/
1585 : /** **/
1586 : /*********************************************************************/
1587 : /* Assume m > 0, more efficient if 0 <= a, b < m */
1588 :
1589 : INLINE GEN
1590 35460385 : Fp_red(GEN a, GEN m) { return modii(a, m); }
1591 : INLINE GEN
1592 72239245 : Fp_add(GEN a, GEN b, GEN m)
1593 : {
1594 72239245 : pari_sp av=avma;
1595 72239245 : GEN p = addii(a,b);
1596 70809303 : long s = signe(p);
1597 70809303 : if (!s) return p; /* = gen_0 */
1598 63020541 : if (s > 0) /* general case */
1599 : {
1600 62794141 : GEN t = subii(p, m);
1601 63746954 : s = signe(t);
1602 63746954 : if (!s) { set_avma(av); return gen_0; }
1603 57914797 : if (s < 0) { set_avma((pari_sp)p); return p; }
1604 24454929 : if (cmpii(t, m) < 0) return gerepileuptoint(av, t); /* general case ! */
1605 1112634 : p = remii(t, m);
1606 : }
1607 : else
1608 226400 : p = modii(p, m);
1609 1339034 : return gerepileuptoint(av, p);
1610 : }
1611 : INLINE GEN
1612 56810114 : Fp_sub(GEN a, GEN b, GEN m)
1613 : {
1614 56810114 : pari_sp av=avma;
1615 56810114 : GEN p = subii(a,b);
1616 56198431 : long s = signe(p);
1617 56198431 : if (!s) return p; /* = gen_0 */
1618 49948545 : if (s > 0)
1619 : {
1620 24143283 : if (cmpii(p, m) < 0) return p; /* general case ! */
1621 1120427 : p = remii(p, m);
1622 : }
1623 : else
1624 : {
1625 25805262 : GEN t = addii(p, m);
1626 25753560 : if (!s) { set_avma(av); return gen_0; }
1627 25753560 : if (s > 0) return gerepileuptoint(av, t); /* general case ! */
1628 25753560 : p = modii(t, m);
1629 : }
1630 27373552 : return gerepileuptoint(av, p);
1631 : }
1632 : INLINE GEN
1633 13543064 : Fp_neg(GEN b, GEN m)
1634 : {
1635 13543064 : pari_sp av = avma;
1636 13543064 : long s = signe(b);
1637 : GEN p;
1638 13543064 : if (!s) return gen_0;
1639 10062816 : if (s > 0)
1640 : {
1641 9840900 : p = subii(m, b);
1642 9838671 : if (signe(p) >= 0) return p; /* general case ! */
1643 104117 : p = modii(p, m);
1644 : } else
1645 221916 : p = remii(negi(b), m);
1646 326033 : return gerepileuptoint(av, p);
1647 : }
1648 :
1649 : INLINE GEN
1650 23592 : Fp_halve(GEN a, GEN p)
1651 : {
1652 23592 : if (mpodd(a)) a = addii(a,p);
1653 23592 : return shifti(a,-1);
1654 : }
1655 :
1656 : /* assume 0 <= u < p and ps2 = p>>1 */
1657 : INLINE GEN
1658 16752552 : Fp_center(GEN u, GEN p, GEN ps2)
1659 16752552 : { return abscmpii(u,ps2)<=0? icopy(u): subii(u,p); }
1660 : /* same without copy */
1661 : INLINE GEN
1662 15287147 : Fp_center_i(GEN u, GEN p, GEN ps2)
1663 15287147 : { return abscmpii(u,ps2)<=0? u: subii(u,p); }
1664 :
1665 : /* x + y*z mod p */
1666 : INLINE GEN
1667 5047382 : Fp_addmul(GEN x, GEN y, GEN z, GEN p)
1668 : {
1669 : pari_sp av;
1670 5047382 : if (!signe(y) || !signe(z)) return Fp_red(x, p);
1671 4749384 : if (!signe(x)) return Fp_mul(z,y, p);
1672 4445930 : av = avma;
1673 4445930 : return gerepileuptoint(av, modii(addii(x, mulii(y,z)), p));
1674 : }
1675 :
1676 : INLINE GEN
1677 92222284 : Fp_mul(GEN a, GEN b, GEN m)
1678 : {
1679 92222284 : pari_sp av=avma;
1680 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1681 92222284 : (void)new_chunk(lg(a)+lg(b)+(lg(m)<<1));
1682 92225985 : p = mulii(a,b);
1683 92357450 : set_avma(av); return modii(p,m);
1684 : }
1685 : INLINE GEN
1686 33686210 : Fp_sqr(GEN a, GEN m)
1687 : {
1688 33686210 : pari_sp av=avma;
1689 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1690 33686210 : (void)new_chunk((lg(a)+lg(m))<<1);
1691 33708706 : p = sqri(a);
1692 30603276 : set_avma(av); return remii(p,m); /*Use remii: p >= 0 */
1693 : }
1694 : INLINE GEN
1695 65120195 : Fp_mulu(GEN a, ulong b, GEN m)
1696 : {
1697 65120195 : long l = lgefint(m);
1698 65120195 : if (l == 3)
1699 : {
1700 39145566 : ulong mm = m[2];
1701 39145566 : return utoi( Fl_mul(umodiu(a, mm), b, mm) );
1702 : } else {
1703 25974629 : pari_sp av = avma;
1704 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1705 25974629 : (void)new_chunk(lg(a)+1+(l<<1));
1706 25942623 : p = muliu(a,b);
1707 24288885 : set_avma(av); return modii(p,m);
1708 : }
1709 : }
1710 : INLINE GEN
1711 0 : Fp_muls(GEN a, long b, GEN m)
1712 : {
1713 0 : long l = lgefint(m);
1714 0 : if (l == 3)
1715 : {
1716 0 : ulong mm = m[2];
1717 0 : if (b < 0)
1718 : {
1719 0 : ulong t = Fl_mul(umodiu(a, mm), -b, mm);
1720 0 : return t? utoipos(mm - t): gen_0;
1721 : }
1722 : else
1723 0 : return utoi( Fl_mul(umodiu(a, mm), b, mm) );
1724 : } else {
1725 0 : pari_sp av = avma;
1726 : GEN p; /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1727 0 : (void)new_chunk(lg(a)+1+(l<<1));
1728 0 : p = mulis(a,b);
1729 0 : set_avma(av); return modii(p,m);
1730 : }
1731 : }
1732 :
1733 : INLINE GEN
1734 9629008 : Fp_inv(GEN a, GEN m)
1735 : {
1736 : GEN res;
1737 9629008 : if (! invmod(a,m,&res)) pari_err_INV("Fp_inv", mkintmod(res,m));
1738 9628698 : return res;
1739 : }
1740 : INLINE GEN
1741 318572 : Fp_invsafe(GEN a, GEN m)
1742 : {
1743 : GEN res;
1744 318572 : if (! invmod(a,m,&res)) return NULL;
1745 318572 : return res;
1746 : }
1747 : INLINE GEN
1748 1655633 : Fp_div(GEN a, GEN b, GEN m)
1749 : {
1750 1655633 : pari_sp av = avma;
1751 : GEN p;
1752 1655633 : if (lgefint(b) == 3)
1753 : {
1754 668261 : a = Fp_divu(a, b[2], m);
1755 668261 : if (signe(b) < 0) a = Fp_neg(a, m);
1756 668261 : return a;
1757 : }
1758 : /*HACK: assume modii use <=lg(p)+(lg(m)<<1) space*/
1759 987372 : (void)new_chunk(lg(a)+(lg(m)<<1));
1760 987372 : p = mulii(a, Fp_inv(b,m));
1761 987372 : set_avma(av); return modii(p,m);
1762 : }
1763 : INLINE GEN
1764 1401743 : Fp_divu(GEN x, ulong a, GEN p)
1765 : {
1766 1401743 : pari_sp av = avma;
1767 : ulong b;
1768 1401743 : if (lgefint(p) == 3)
1769 : {
1770 984011 : ulong pp = p[2], xp = umodiu(x, pp);
1771 984011 : return xp? utoipos(Fl_div(xp, a % pp, pp)): gen_0;
1772 : }
1773 417732 : x = Fp_red(x, p);
1774 417736 : b = Fl_neg(Fl_div(umodiu(x,a), umodiu(p,a), a), a); /* x + pb = 0 (mod a) */
1775 417739 : return gerepileuptoint(av, diviuexact(addmuliu(x, p, b), a));
1776 : }
1777 :
1778 : INLINE GEN
1779 847620 : Flx_mulu(GEN x, ulong a, ulong p) { return Flx_Fl_mul(x,a%p,p); }
1780 :
1781 : INLINE GEN
1782 0 : get_F2x_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1783 :
1784 : INLINE long
1785 448552 : get_F2x_var(GEN T) { return typ(T)==t_VEC? mael(T,2,1): T[1]; }
1786 :
1787 : INLINE long
1788 121548 : get_F2x_degree(GEN T) { return typ(T)==t_VEC? F2x_degree(gel(T,2)): F2x_degree(T); }
1789 :
1790 : INLINE GEN
1791 378 : get_F2xqX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1792 :
1793 : INLINE long
1794 376495 : get_F2xqX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1795 :
1796 : INLINE long
1797 201684 : get_F2xqX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1798 :
1799 : INLINE GEN
1800 7589015 : get_Flx_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1801 :
1802 : INLINE long
1803 16833842 : get_Flx_var(GEN T) { return typ(T)==t_VEC? mael(T,2,1): T[1]; }
1804 :
1805 : INLINE long
1806 36122552 : get_Flx_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1807 :
1808 : INLINE GEN
1809 2461 : get_FlxqX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1810 :
1811 : INLINE long
1812 369211 : get_FlxqX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1813 :
1814 : INLINE long
1815 155864 : get_FlxqX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1816 :
1817 : INLINE GEN
1818 1631622 : get_FpX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1819 :
1820 : INLINE long
1821 3672315 : get_FpX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1822 :
1823 : INLINE long
1824 2627877 : get_FpX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1825 :
1826 : INLINE GEN
1827 142586 : get_FpXQX_mod(GEN T) { return typ(T)==t_VEC? gel(T,2): T; }
1828 :
1829 : INLINE long
1830 57364 : get_FpXQX_var(GEN T) { return typ(T)==t_VEC? varn(gel(T,2)): varn(T); }
1831 :
1832 : INLINE long
1833 2187 : get_FpXQX_degree(GEN T) { return typ(T)==t_VEC? degpol(gel(T,2)): degpol(T); }
1834 :
1835 : /*******************************************************************/
1836 : /* */
1837 : /* ADDMULII / SUBMULII */
1838 : /* */
1839 : /*******************************************************************/
1840 : /* x - y*z */
1841 : INLINE GEN
1842 13447367 : submulii(GEN x, GEN y, GEN z)
1843 : {
1844 13447367 : long lx = lgefint(x), ly, lz;
1845 : pari_sp av;
1846 : GEN t;
1847 13447367 : if (lx == 2) { t = mulii(z,y); togglesign(t); return t; }
1848 11634350 : ly = lgefint(y);
1849 11634350 : if (ly == 2) return icopy(x);
1850 10498115 : lz = lgefint(z);
1851 10498115 : av = avma; (void)new_chunk(lx+ly+lz); /* HACK */
1852 10498115 : t = mulii(z, y);
1853 10498115 : set_avma(av); return subii(x,t);
1854 : }
1855 : /* y*z - x */
1856 : INLINE GEN
1857 1240544 : mulsubii(GEN y, GEN z, GEN x)
1858 : {
1859 1240544 : long lx = lgefint(x), ly, lz;
1860 : pari_sp av;
1861 : GEN t;
1862 1240544 : if (lx == 2) return mulii(z,y);
1863 789975 : ly = lgefint(y);
1864 789975 : if (ly == 2) return negi(x);
1865 724652 : lz = lgefint(z);
1866 724652 : av = avma; (void)new_chunk(lx+ly+lz); /* HACK */
1867 724652 : t = mulii(z, y);
1868 724652 : set_avma(av); return subii(t,x);
1869 : }
1870 :
1871 : /* x - u*y */
1872 : INLINE GEN
1873 7595 : submuliu(GEN x, GEN y, ulong u)
1874 : {
1875 : pari_sp av;
1876 7595 : long ly = lgefint(y);
1877 7595 : if (ly == 2) return icopy(x);
1878 7595 : av = avma;
1879 7595 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1880 7595 : y = mului(u,y);
1881 7595 : set_avma(av); return subii(x, y);
1882 : }
1883 : /* x + u*y */
1884 : INLINE GEN
1885 425334 : addmuliu(GEN x, GEN y, ulong u)
1886 : {
1887 : pari_sp av;
1888 425334 : long ly = lgefint(y);
1889 425334 : if (ly == 2) return icopy(x);
1890 425334 : av = avma;
1891 425334 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1892 425334 : y = mului(u,y);
1893 425333 : set_avma(av); return addii(x, y);
1894 : }
1895 : /* x - u*y */
1896 : INLINE GEN
1897 123076104 : submuliu_inplace(GEN x, GEN y, ulong u)
1898 : {
1899 : pari_sp av;
1900 123076104 : long ly = lgefint(y);
1901 123076104 : if (ly == 2) return x;
1902 98595089 : av = avma;
1903 98595089 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1904 98595089 : y = mului(u,y);
1905 98595089 : set_avma(av); return subii(x, y);
1906 : }
1907 : /* x + u*y */
1908 : INLINE GEN
1909 121589991 : addmuliu_inplace(GEN x, GEN y, ulong u)
1910 : {
1911 : pari_sp av;
1912 121589991 : long ly = lgefint(y);
1913 121589991 : if (ly == 2) return x;
1914 98506342 : av = avma;
1915 98506342 : (void)new_chunk(3+ly+lgefint(x)); /* HACK */
1916 98506342 : y = mului(u,y);
1917 98506342 : set_avma(av); return addii(x, y);
1918 : }
1919 : /* ux + vy */
1920 : INLINE GEN
1921 20702153 : lincombii(GEN u, GEN v, GEN x, GEN y)
1922 : {
1923 20702153 : long lx = lgefint(x), ly;
1924 : GEN p1, p2;
1925 : pari_sp av;
1926 20702153 : if (lx == 2) return mulii(v,y);
1927 14606625 : ly = lgefint(y);
1928 14606625 : if (ly == 2) return mulii(u,x);
1929 13379919 : av = avma; (void)new_chunk(lx+ly+lgefint(u)+lgefint(v)); /* HACK */
1930 13379909 : p1 = mulii(u,x);
1931 13379801 : p2 = mulii(v,y);
1932 13379811 : set_avma(av); return addii(p1,p2);
1933 : }
1934 :
1935 : /*******************************************************************/
1936 : /* */
1937 : /* GEN SUBTYPES */
1938 : /* */
1939 : /*******************************************************************/
1940 :
1941 : INLINE int
1942 1256252507 : is_const_t(long t) { return (t < t_POLMOD); }
1943 : INLINE int
1944 5479 : is_extscalar_t(long t) { return (t <= t_POL); }
1945 : INLINE int
1946 1224304 : is_intreal_t(long t) { return (t <= t_REAL); }
1947 : INLINE int
1948 416954221 : is_matvec_t(long t) { return (t >= t_VEC && t <= t_MAT); }
1949 : INLINE int
1950 60096915 : is_noncalc_t(long tx) { return (tx) >= t_LIST; }
1951 : INLINE int
1952 1208823 : is_rational_t(long t) { return (t == t_INT || t == t_FRAC); }
1953 : INLINE int
1954 504485 : is_real_t(long t) { return (t == t_INT || t == t_REAL || t == t_FRAC); }
1955 : INLINE int
1956 3045991708 : is_recursive_t(long t) { return lontyp[t]; }
1957 : INLINE int
1958 191099131 : is_scalar_t(long t) { return (t < t_POL); }
1959 : INLINE int
1960 1499668 : is_vec_t(long t) { return (t == t_VEC || t == t_COL); }
1961 :
1962 : /*******************************************************************/
1963 : /* */
1964 : /* TRANSCENDENTAL */
1965 : /* */
1966 : /*******************************************************************/
1967 : INLINE GEN
1968 22426014 : sqrtr(GEN x) {
1969 22426014 : long s = signe(x);
1970 22426014 : if (s == 0) return real_0_bit(expo(x) >> 1);
1971 22392346 : if (s >= 0) return sqrtr_abs(x);
1972 34884 : retmkcomplex(gen_0, sqrtr_abs(x));
1973 : }
1974 : INLINE GEN
1975 0 : cbrtr_abs(GEN x) { return sqrtnr_abs(x, 3); }
1976 : INLINE GEN
1977 0 : cbrtr(GEN x) {
1978 0 : long s = signe(x);
1979 : GEN r;
1980 0 : if (s == 0) return real_0_bit(expo(x) / 3);
1981 0 : r = cbrtr_abs(x);
1982 0 : if (s < 0) togglesign(r);
1983 0 : return r;
1984 : }
1985 : INLINE GEN
1986 462496 : sqrtnr(GEN x, long n) {
1987 462496 : long s = signe(x);
1988 : GEN r;
1989 462496 : if (s == 0) return real_0_bit(expo(x) / n);
1990 462496 : r = sqrtnr_abs(x, n);
1991 462496 : if (s < 0) pari_err_IMPL("sqrtnr for x < 0");
1992 462496 : return r;
1993 : }
1994 : INLINE long
1995 221153 : logint(GEN B, GEN y) { return logintall(B,y,NULL); }
1996 : INLINE ulong
1997 1997359 : ulogint(ulong B, ulong y)
1998 : {
1999 : ulong r;
2000 : long e;
2001 1997359 : if (y == 2) return expu(B);
2002 1979257 : r = y;
2003 6389185 : for (e=1;; e++)
2004 : { /* here, r = y^e, r2 = y^(e-1) */
2005 10799113 : if (r >= B) return r == B? e: e-1;
2006 4409927 : r = umuluu_or_0(y, r);
2007 4409928 : if (!r) return e;
2008 : }
2009 : }
2010 :
2011 : /*******************************************************************/
2012 : /* */
2013 : /* MISCELLANEOUS */
2014 : /* */
2015 : /*******************************************************************/
2016 1224227 : INLINE int ismpzero(GEN x) { return is_intreal_t(typ(x)) && !signe(x); }
2017 658828623 : INLINE int isintzero(GEN x) { return typ(x) == t_INT && !signe(x); }
2018 5712138 : INLINE int isint1(GEN x) { return typ(x)==t_INT && equali1(x); }
2019 4697 : INLINE int isintm1(GEN x){ return typ(x)==t_INT && equalim1(x);}
2020 698290871 : INLINE int equali1(GEN n)
2021 698290871 : { return (ulong) n[1] == (evallgefint(3UL) | evalsigne(1)) && n[2] == 1; }
2022 61424352 : INLINE int equalim1(GEN n)
2023 61424352 : { return (ulong) n[1] == (evallgefint(3UL) | evalsigne(-1)) && n[2] == 1; }
2024 : /* works only for POSITIVE integers */
2025 983249853 : INLINE int is_pm1(GEN n)
2026 983249853 : { return lgefint(n) == 3 && n[2] == 1; }
2027 245918978 : INLINE int is_bigint(GEN n)
2028 245918978 : { long l = lgefint(n); return l > 3 || (l == 3 && (n[2] & HIGHBIT)); }
2029 :
2030 2076267486 : INLINE int odd(long x) { return x & 1; }
2031 29170572 : INLINE int both_odd(long x, long y) { return x & y & 1; }
2032 :
2033 : INLINE int
2034 2767442337 : isonstack(GEN x)
2035 2767442337 : { return ((pari_sp)x >= pari_mainstack->bot
2036 2767442337 : && (pari_sp)x < pari_mainstack->top); }
2037 :
2038 : /* assume x != 0 and x t_REAL, return an approximation to log2(|x|) */
2039 : INLINE double
2040 23303565 : dbllog2r(GEN x)
2041 23303565 : { return log2((double)(ulong)x[2]) + (double)(expo(x) - (BITS_IN_LONG-1)); }
2042 :
2043 : INLINE GEN
2044 363051 : mul_content(GEN cx, GEN cy)
2045 : {
2046 363051 : if (!cx) return cy;
2047 133090 : if (!cy) return cx;
2048 91548 : return gmul(cx,cy);
2049 : }
2050 : INLINE GEN
2051 6048 : inv_content(GEN c) { return c? ginv(c): NULL; }
2052 : INLINE GEN
2053 1629423 : mul_denom(GEN dx, GEN dy)
2054 : {
2055 1629423 : if (!dx) return dy;
2056 1076009 : if (!dy) return dx;
2057 340452 : return mulii(dx,dy);
2058 : }
2059 :
2060 : /* POLYNOMIALS */
2061 : INLINE GEN
2062 17947601 : constant_coeff(GEN x) { return signe(x)? gel(x,2): gen_0; }
2063 : INLINE GEN
2064 93825883 : leading_coeff(GEN x) { return lg(x) == 2? gen_0: gel(x,lg(x)-1); }
2065 : INLINE ulong
2066 481076 : Flx_lead(GEN x) { return lg(x) == 2? 0: x[lg(x)-1]; }
2067 : INLINE ulong
2068 12296 : Flx_constant(GEN x) { return lg(x) == 2? 0: x[2]; }
2069 : INLINE long
2070 2853169314 : degpol(GEN x) { return lg(x)-3; }
2071 : INLINE long
2072 1410466259 : lgpol(GEN x) { return lg(x)-2; }
2073 : INLINE long
2074 122852614 : lgcols(GEN x) { return lg(gel(x,1)); }
2075 : INLINE long
2076 34558235 : nbrows(GEN x) { return lg(gel(x,1))-1; }
2077 : INLINE GEN
2078 0 : truecoef(GEN x, long n) { return polcoef(x,n,-1); }
2079 :
2080 : INLINE GEN
2081 561597 : ZXQ_mul(GEN y, GEN x, GEN T) { return ZX_rem(ZX_mul(y, x), T); }
2082 : INLINE GEN
2083 282086 : ZXQ_sqr(GEN x, GEN T) { return ZX_rem(ZX_sqr(x), T); }
2084 :
2085 : INLINE GEN
2086 81472641 : RgX_copy(GEN x)
2087 : {
2088 : long lx, i;
2089 81472641 : GEN y = cgetg_copy(x, &lx); y[1] = x[1];
2090 81472636 : for (i = 2; i<lx; i++) gel(y,i) = gcopy(gel(x,i));
2091 81472643 : return y;
2092 : }
2093 : /* have to use ulong to avoid silly warnings from gcc "assuming signed
2094 : * overflow does not occur" */
2095 : INLINE GEN
2096 2961582 : RgX_coeff(GEN x, long n)
2097 : {
2098 2961582 : ulong l = lg(x);
2099 2961582 : return (n < 0 || ((ulong)n+3) > l)? gen_0: gel(x,n+2);
2100 : }
2101 : INLINE GEN
2102 368623 : RgX_renormalize(GEN x) { return RgX_renormalize_lg(x, lg(x)); }
2103 : INLINE GEN
2104 6857298 : RgX_div(GEN x, GEN y) { return RgX_divrem(x,y,NULL); }
2105 : INLINE GEN
2106 1792 : RgXQX_div(GEN x, GEN y, GEN T) { return RgXQX_divrem(x,y,T,NULL); }
2107 : INLINE GEN
2108 67885 : RgXQX_rem(GEN x, GEN y, GEN T) { return RgXQX_divrem(x,y,T,ONLY_REM); }
2109 : INLINE GEN
2110 948433 : FpX_div(GEN x, GEN y, GEN p) { return FpX_divrem(x,y,p, NULL); }
2111 : INLINE GEN
2112 4497357 : Flx_div(GEN x, GEN y, ulong p) { return Flx_divrem(x,y,p, NULL); }
2113 : INLINE GEN
2114 2603634 : F2x_div(GEN x, GEN y) { return F2x_divrem(x,y, NULL); }
2115 : INLINE GEN
2116 0 : FpV_FpC_mul(GEN x, GEN y, GEN p) { return FpV_dotproduct(x,y,p); }
2117 : INLINE GEN
2118 54657327 : pol0_Flx(long sv) { return mkvecsmall(sv); }
2119 : INLINE GEN
2120 15123106 : pol1_Flx(long sv) { return mkvecsmall2(sv, 1); }
2121 : INLINE GEN
2122 17833175 : polx_Flx(long sv) { return mkvecsmall3(sv, 0, 1); }
2123 : INLINE GEN
2124 0 : zero_zx(long sv) { return zero_Flx(sv); }
2125 : INLINE GEN
2126 0 : polx_zx(long sv) { return polx_Flx(sv); }
2127 : INLINE GEN
2128 0 : zx_shift(GEN x, long n) { return Flx_shift(x,n); }
2129 : INLINE GEN
2130 0 : zx_renormalize(GEN x, long l) { return Flx_renormalize(x,l); }
2131 : INLINE GEN
2132 1327 : zero_F2x(long sv) { return zero_Flx(sv); }
2133 : INLINE GEN
2134 11181810 : pol0_F2x(long sv) { return pol0_Flx(sv); }
2135 : INLINE GEN
2136 2876628 : pol1_F2x(long sv) { return pol1_Flx(sv); }
2137 : INLINE GEN
2138 687075 : polx_F2x(long sv) { return mkvecsmall2(sv, 2); }
2139 : INLINE int
2140 826472 : F2x_equal1(GEN x) { return Flx_equal1(x); }
2141 : INLINE int
2142 3131008 : F2x_equal(GEN V, GEN W) { return Flx_equal(V,W); }
2143 : INLINE GEN
2144 59716453 : F2x_copy(GEN x) { return leafcopy(x); }
2145 : INLINE GEN
2146 0 : F2v_copy(GEN x) { return leafcopy(x); }
2147 : INLINE GEN
2148 2274967 : Flv_copy(GEN x) { return leafcopy(x); }
2149 : INLINE GEN
2150 84226281 : Flx_copy(GEN x) { return leafcopy(x); }
2151 : INLINE GEN
2152 1873953 : vecsmall_copy(GEN x) { return leafcopy(x); }
2153 : INLINE int
2154 4891024 : Flx_equal1(GEN x) { return degpol(x)==0 && x[2] == 1; }
2155 : INLINE int
2156 18205 : ZX_equal1(GEN x) { return degpol(x)==0 && equali1(gel(x,2)); }
2157 : INLINE int
2158 5494275 : ZX_is_monic(GEN x) { return equali1(leading_coeff(x)); }
2159 :
2160 : INLINE GEN
2161 51147035 : ZX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2162 : INLINE GEN
2163 73155269 : FpX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2164 : INLINE GEN
2165 772497 : FpXX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2166 : INLINE GEN
2167 1251664 : FpXQX_renormalize(GEN x, long lx) { return ZXX_renormalize(x,lx); }
2168 : INLINE GEN
2169 112052467 : F2x_renormalize(GEN x, long lx) { return Flx_renormalize(x,lx); }
2170 : INLINE GEN
2171 32316 : F2v_to_F2x(GEN x, long sv) {
2172 32316 : GEN y = leafcopy(x);
2173 32316 : y[1] = sv; F2x_renormalize(y, lg(y)); return y;
2174 : }
2175 :
2176 : INLINE long
2177 0 : sturm(GEN x) { return sturmpart(x, NULL, NULL); }
2178 :
2179 : INLINE long
2180 7077 : gval(GEN x, long v) {
2181 7077 : pari_sp av = avma;
2182 7077 : long n = gvaluation(x, pol_x(v));
2183 7077 : set_avma(av); return n;
2184 : }
2185 :
2186 : INLINE void
2187 470978 : RgX_shift_inplace_init(long v)
2188 470978 : { if (v) (void)cgetg(v, t_VECSMALL); }
2189 : /* shift polynomial in place. assume v free cells have been left before x */
2190 : INLINE GEN
2191 470978 : RgX_shift_inplace(GEN x, long v)
2192 : {
2193 : long i, lx;
2194 : GEN y, z;
2195 470978 : if (!v) return x;
2196 253227 : lx = lg(x);
2197 253227 : if (lx == 2) return x;
2198 253227 : y = x + v;
2199 253227 : z = x + lx;
2200 : /* stackdummy from normalizepol: move it up */
2201 253227 : if (lg(z) != v) x[lx + v] = z[0];
2202 253227 : for (i = lx-1; i >= 2; i--) gel(y,i) = gel(x,i);
2203 253227 : for (i = v+1; i >= 2; i--) gel(x,i) = gen_0;
2204 : /* leave x[1] alone: it is correct */
2205 253227 : x[0] = evaltyp(t_POL) | evallg(lx+v); return x;
2206 : }
2207 :
2208 :
2209 : /* LINEAR ALGEBRA */
2210 : INLINE GEN
2211 131980 : zv_to_ZV(GEN x) { return vecsmall_to_vec(x); }
2212 : INLINE GEN
2213 5208135 : zc_to_ZC(GEN x) { return vecsmall_to_col(x); }
2214 : INLINE GEN
2215 3299581 : ZV_to_zv(GEN x) { return vec_to_vecsmall(x); }
2216 : INLINE GEN
2217 0 : zx_to_zv(GEN x, long N) { return Flx_to_Flv(x,N); }
2218 : INLINE GEN
2219 0 : zv_to_zx(GEN x, long sv) { return Flv_to_Flx(x,sv); }
2220 : INLINE GEN
2221 0 : zm_to_zxV(GEN x, long sv) { return Flm_to_FlxV(x,sv); }
2222 : INLINE GEN
2223 0 : zero_zm(long x, long y) { return zero_Flm(x,y); }
2224 : INLINE GEN
2225 17423929 : zero_zv(long x) { return zero_Flv(x); }
2226 : INLINE GEN
2227 210 : zm_transpose(GEN x) { return Flm_transpose(x); }
2228 : INLINE GEN
2229 0 : zm_copy(GEN x) { return Flm_copy(x); }
2230 : INLINE GEN
2231 1903204 : zv_copy(GEN x) { return Flv_copy(x); }
2232 : INLINE GEN
2233 0 : zm_row(GEN x, long i) { return Flm_row(x,i); }
2234 :
2235 : INLINE GEN
2236 901717 : ZC_hnfrem(GEN x, GEN y) { return ZC_hnfremdiv(x,y,NULL); }
2237 : INLINE GEN
2238 48866 : ZM_hnfrem(GEN x, GEN y) { return ZM_hnfdivrem(x,y,NULL); }
2239 : INLINE GEN
2240 2438999 : ZM_lll(GEN x, double D, long f) { return ZM_lll_norms(x,D,f,NULL); }
2241 : INLINE void
2242 5673651 : RgM_dimensions(GEN x, long *m, long *n) { *n = lg(x)-1; *m = *n? nbrows(x): 0; }
2243 : INLINE GEN
2244 10340255 : RgM_shallowcopy(GEN x)
2245 : {
2246 : long l;
2247 10340255 : GEN y = cgetg_copy(x, &l);
2248 10340261 : while (--l > 0) gel(y,l) = leafcopy(gel(x,l));
2249 10340305 : return y;
2250 : }
2251 : INLINE GEN
2252 302 : F2m_copy(GEN x) { return RgM_shallowcopy(x); }
2253 :
2254 : INLINE GEN
2255 1377693 : Flm_copy(GEN x) { return RgM_shallowcopy(x); }
2256 :
2257 : /* divisibility: return 1 if y[i] | x[i] for all i, 0 otherwise. Assume
2258 : * x,y are ZV of the same length */
2259 : INLINE int
2260 23198 : ZV_dvd(GEN x, GEN y)
2261 : {
2262 23198 : long i, l = lg(x);
2263 36652 : for (i=1; i < l; i++)
2264 29519 : if ( ! dvdii( gel(x,i), gel(y,i) ) ) return 0;
2265 7133 : return 1;
2266 : }
2267 :
2268 : /* Fq */
2269 : INLINE GEN
2270 2802777 : Fq_red(GEN x, GEN T, GEN p)
2271 2802777 : { return typ(x)==t_INT? Fp_red(x,p): FpXQ_red(x,T,p); }
2272 : INLINE GEN
2273 43439 : Fq_to_FpXQ(GEN x, GEN T, GEN p /*unused*/)
2274 : {
2275 : (void) p;
2276 43439 : return typ(x)==t_INT ? scalarpol(x, get_FpX_var(T)): x;
2277 : }
2278 : INLINE GEN
2279 756 : Rg_to_Fq(GEN x, GEN T, GEN p) { return T? Rg_to_FpXQ(x,T,p): Rg_to_Fp(x,p); }
2280 :
2281 : INLINE GEN
2282 1253 : gener_Fq_local(GEN T, GEN p, GEN L)
2283 : { return T? gener_FpXQ_local(T,p, L)
2284 1253 : : pgener_Fp_local(p, L); }
2285 :
2286 : /* FpXQX */
2287 : INLINE GEN
2288 4347 : FpXQX_div(GEN x, GEN y, GEN T, GEN p) { return FpXQX_divrem(x, y, T, p, NULL); }
2289 : INLINE GEN
2290 35076 : FlxqX_div(GEN x, GEN y, GEN T, ulong p) { return FlxqX_divrem(x, y, T, p, NULL); }
2291 : INLINE GEN
2292 33285 : F2xqX_div(GEN x, GEN y, GEN T) { return F2xqX_divrem(x, y, T, NULL); }
2293 :
2294 : /* FqX */
2295 : INLINE GEN
2296 25431 : FqX_red(GEN z, GEN T, GEN p) { return T? FpXQX_red(z, T, p): FpX_red(z, p); }
2297 : INLINE GEN
2298 957187 : FqX_add(GEN x,GEN y,GEN T,GEN p) { return T? FpXX_add(x,y,p): FpX_add(x,y,p); }
2299 : INLINE GEN
2300 17404 : FqX_neg(GEN x,GEN T,GEN p) { return T? FpXX_neg(x,p): FpX_neg(x,p); }
2301 : INLINE GEN
2302 3234 : FqX_sub(GEN x,GEN y,GEN T,GEN p) { return T? FpXX_sub(x,y,p): FpX_sub(x,y,p); }
2303 : INLINE GEN
2304 657718 : FqX_Fp_mul(GEN P, GEN u, GEN T, GEN p)
2305 657718 : { return T? FpXX_Fp_mul(P, u, p): FpX_Fp_mul(P, u, p); }
2306 : INLINE GEN
2307 588211 : FqX_Fq_mul(GEN P, GEN U, GEN T, GEN p)
2308 588211 : { return typ(U)==t_INT ? FqX_Fp_mul(P, U, T, p): FpXQX_FpXQ_mul(P, U, T, p); }
2309 : INLINE GEN
2310 96825 : FqX_mul(GEN x, GEN y, GEN T, GEN p)
2311 96825 : { return T? FpXQX_mul(x, y, T, p): FpX_mul(x, y, p); }
2312 : INLINE GEN
2313 489744 : FqX_mulu(GEN x, ulong y, GEN T, GEN p)
2314 489744 : { return T? FpXX_mulu(x, y, p): FpX_mulu(x, y, p); }
2315 : INLINE GEN
2316 6468 : FqX_sqr(GEN x, GEN T, GEN p)
2317 6468 : { return T? FpXQX_sqr(x, T, p): FpX_sqr(x, p); }
2318 : INLINE GEN
2319 1288 : FqX_powu(GEN x, ulong n, GEN T, GEN p)
2320 1288 : { return T? FpXQX_powu(x, n, T, p): FpX_powu(x, n, p); }
2321 : INLINE GEN
2322 0 : FqX_halve(GEN x, GEN T, GEN p)
2323 0 : { return T? FpXX_halve(x, p): FpX_halve(x, p); }
2324 : INLINE GEN
2325 5600 : FqX_div(GEN x, GEN y, GEN T, GEN p)
2326 5600 : { return T? FpXQX_divrem(x,y,T,p,NULL): FpX_divrem(x,y,p,NULL); }
2327 : INLINE GEN
2328 6095 : FqX_get_red(GEN S, GEN T, GEN p)
2329 6095 : { return T? FpXQX_get_red(S,T,p): FpX_get_red(S,p); }
2330 : INLINE GEN
2331 53108 : FqX_rem(GEN x, GEN y, GEN T, GEN p)
2332 53108 : { return T? FpXQX_rem(x,y,T,p): FpX_rem(x,y,p); }
2333 : INLINE GEN
2334 0 : FqX_divrem(GEN x, GEN y, GEN T, GEN p, GEN *z)
2335 0 : { return T? FpXQX_divrem(x,y,T,p,z): FpX_divrem(x,y,p,z); }
2336 : INLINE GEN
2337 5936 : FqX_div_by_X_x(GEN x, GEN y, GEN T, GEN p, GEN *z)
2338 5936 : { return T? FpXQX_div_by_X_x(x,y,T,p,z): FpX_div_by_X_x(x,y,p,z); }
2339 : INLINE GEN
2340 0 : FqX_halfgcd(GEN P,GEN Q,GEN T,GEN p)
2341 0 : {return T? FpXQX_halfgcd(P,Q,T,p): FpX_halfgcd(P,Q,p);}
2342 : INLINE GEN
2343 259238 : FqX_gcd(GEN P,GEN Q,GEN T,GEN p)
2344 259238 : {return T? FpXQX_gcd(P,Q,T,p): FpX_gcd(P,Q,p);}
2345 : INLINE GEN
2346 88289 : FqX_extgcd(GEN P,GEN Q,GEN T,GEN p, GEN *U, GEN *V)
2347 88289 : { return T? FpXQX_extgcd(P,Q,T,p,U,V): FpX_extgcd(P,Q,p,U,V); }
2348 : INLINE GEN
2349 3248 : FqX_normalize(GEN z, GEN T, GEN p)
2350 3248 : { return T? FpXQX_normalize(z, T, p): FpX_normalize(z, p); }
2351 : INLINE GEN
2352 272895 : FqX_deriv(GEN f, GEN T, GEN p) { return T? FpXX_deriv(f, p): FpX_deriv(f, p); }
2353 : INLINE GEN
2354 0 : FqX_integ(GEN f, GEN T, GEN p) { return T? FpXX_integ(f, p): FpX_integ(f, p); }
2355 : INLINE GEN
2356 74557 : FqX_factor(GEN f, GEN T, GEN p)
2357 74557 : { return T?FpXQX_factor(f, T, p): FpX_factor(f, p); }
2358 : INLINE GEN
2359 7 : FqX_factor_squarefree(GEN f, GEN T, GEN p)
2360 7 : { return T ? FpXQX_factor_squarefree(f, T, p): FpX_factor_squarefree(f, p); }
2361 : INLINE GEN
2362 7 : FqX_ddf(GEN f, GEN T, GEN p)
2363 7 : { return T ? FpXQX_ddf(f, T, p): FpX_ddf(f, p); }
2364 : INLINE GEN
2365 42 : FqX_degfact(GEN f, GEN T, GEN p)
2366 42 : { return T?FpXQX_degfact(f, T, p): FpX_degfact(f, p); }
2367 : INLINE GEN
2368 7126 : FqX_roots(GEN f, GEN T, GEN p)
2369 7126 : { return T?FpXQX_roots(f, T, p): FpX_roots(f, p); }
2370 : INLINE GEN
2371 203 : FqX_to_mod(GEN f, GEN T, GEN p)
2372 203 : { return T?FpXQX_to_mod(f, T, p): FpX_to_mod(f, p); }
2373 :
2374 : /*FqXQ*/
2375 : INLINE GEN
2376 0 : FqXQ_add(GEN x, GEN y, GEN S/*unused*/, GEN T, GEN p)
2377 0 : { (void)S; return T? FpXX_add(x,y,p): FpX_add(x,y,p); }
2378 : INLINE GEN
2379 0 : FqXQ_sub(GEN x, GEN y, GEN S/*unused*/, GEN T, GEN p)
2380 0 : { (void)S; return T? FpXX_sub(x,y,p): FpX_sub(x,y,p); }
2381 : INLINE GEN
2382 0 : FqXQ_div(GEN x, GEN y, GEN S, GEN T, GEN p)
2383 0 : { return T? FpXQXQ_div(x,y,S,T,p): FpXQ_div(x,y,S,p); }
2384 : INLINE GEN
2385 0 : FqXQ_inv(GEN x, GEN S, GEN T, GEN p)
2386 0 : { return T? FpXQXQ_inv(x,S,T,p): FpXQ_inv(x,S,p); }
2387 : INLINE GEN
2388 0 : FqXQ_invsafe(GEN x, GEN S, GEN T, GEN p)
2389 0 : { return T? FpXQXQ_invsafe(x,S,T,p): FpXQ_inv(x,S,p); }
2390 : INLINE GEN
2391 22348 : FqXQ_mul(GEN x, GEN y, GEN S, GEN T, GEN p)
2392 22348 : { return T? FpXQXQ_mul(x,y,S,T,p): FpXQ_mul(x,y,S,p); }
2393 : INLINE GEN
2394 0 : FqXQ_sqr(GEN x, GEN S, GEN T, GEN p)
2395 0 : { return T? FpXQXQ_sqr(x,S,T,p): FpXQ_sqr(x,S,p); }
2396 : INLINE GEN
2397 0 : FqXQ_pow(GEN x, GEN n, GEN S, GEN T, GEN p)
2398 0 : { return T? FpXQXQ_pow(x,n,S,T,p): FpXQ_pow(x,n,S,p); }
2399 :
2400 : /*FqXn*/
2401 : INLINE GEN
2402 0 : FqXn_exp(GEN x, long n, GEN T, GEN p)
2403 0 : { return T? FpXQXn_exp(x,n,T,p): FpXn_exp(x,n,p); }
2404 : INLINE GEN
2405 0 : FqXn_inv(GEN x, long n, GEN T, GEN p)
2406 0 : { return T? FpXQXn_inv(x,n,T,p): FpXn_inv(x,n,p); }
2407 : INLINE GEN
2408 0 : FqXn_mul(GEN x, GEN y, long n, GEN T, GEN p)
2409 0 : { return T? FpXQXn_mul(x, y, n, T, p): FpXn_mul(x, y, n, p); }
2410 : INLINE GEN
2411 0 : FqXn_sqr(GEN x, long n, GEN T, GEN p)
2412 0 : { return T? FpXQXn_sqr(x,n,T,p): FpXn_sqr(x,n,p); }
2413 :
2414 : /*FpXQ*/
2415 : INLINE GEN
2416 0 : FpXQ_add(GEN x,GEN y,GEN T/*unused*/,GEN p)
2417 0 : { (void)T; return FpX_add(x,y,p); }
2418 : INLINE GEN
2419 0 : FpXQ_sub(GEN x,GEN y,GEN T/*unused*/,GEN p)
2420 0 : { (void)T; return FpX_sub(x,y,p); }
2421 :
2422 : /*Flxq*/
2423 : INLINE GEN
2424 0 : Flxq_add(GEN x,GEN y,GEN T/*unused*/,ulong p)
2425 0 : { (void)T; return Flx_add(x,y,p); }
2426 : INLINE GEN
2427 0 : Flxq_sub(GEN x,GEN y,GEN T/*unused*/,ulong p)
2428 0 : { (void)T; return Flx_sub(x,y,p); }
2429 :
2430 : /* F2x */
2431 :
2432 : INLINE ulong
2433 100543235 : F2x_coeff(GEN x,long v)
2434 : {
2435 100543235 : ulong u=(ulong)x[2+divsBIL(v)];
2436 100542931 : return (u>>remsBIL(v))&1UL;
2437 : }
2438 :
2439 : INLINE void
2440 4728488 : F2x_clear(GEN x,long v)
2441 : {
2442 4728488 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2443 4728477 : *u&=~(1UL<<remsBIL(v));
2444 4728488 : }
2445 :
2446 : INLINE void
2447 32796937 : F2x_set(GEN x,long v)
2448 : {
2449 32796937 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2450 32767903 : *u|=1UL<<remsBIL(v);
2451 32755135 : }
2452 :
2453 : INLINE void
2454 1501734 : F2x_flip(GEN x,long v)
2455 : {
2456 1501734 : ulong* u=(ulong*)&x[2+divsBIL(v)];
2457 1501734 : *u^=1UL<<remsBIL(v);
2458 1501734 : }
2459 :
2460 : /* F2v */
2461 :
2462 : INLINE ulong
2463 95953553 : F2v_coeff(GEN x,long v) { return F2x_coeff(x,v-1); }
2464 :
2465 : INLINE void
2466 4728489 : F2v_clear(GEN x,long v) { F2x_clear(x,v-1); }
2467 :
2468 : INLINE void
2469 8963904 : F2v_set(GEN x,long v) { F2x_set(x,v-1); }
2470 :
2471 : INLINE void
2472 1501733 : F2v_flip(GEN x,long v) { F2x_flip(x,v-1); }
2473 :
2474 : /* F2m */
2475 :
2476 : INLINE ulong
2477 11671872 : F2m_coeff(GEN x, long a, long b) { return F2v_coeff(gel(x,b), a); }
2478 :
2479 : INLINE void
2480 0 : F2m_clear(GEN x, long a, long b) { F2v_clear(gel(x,b), a); }
2481 :
2482 : INLINE void
2483 1362615 : F2m_set(GEN x, long a, long b) { F2v_set(gel(x,b), a); }
2484 :
2485 : INLINE void
2486 1501735 : F2m_flip(GEN x, long a, long b) { F2v_flip(gel(x,b), a); }
2487 :
2488 : /* ARITHMETIC */
2489 : INLINE GEN
2490 1071 : matpascal(long n) { return matqpascal(n, NULL); }
2491 : INLINE long
2492 2334538 : Z_issquare(GEN x) { return Z_issquareall(x, NULL); }
2493 : INLINE long
2494 14 : Z_ispower(GEN x, ulong k) { return Z_ispowerall(x, k, NULL); }
2495 : INLINE GEN
2496 5869077 : sqrti(GEN x) { return sqrtremi(x,NULL); }
2497 : INLINE GEN
2498 6081645 : gaddgs(GEN y, long s) { return gaddsg(s,y); }
2499 : INLINE int
2500 59674 : gcmpgs(GEN y, long s) { return -gcmpsg(s,y); }
2501 : INLINE int
2502 24570 : gequalgs(GEN y, long s) { return gequalsg(s,y); }
2503 : INLINE GEN
2504 0 : gmaxsg(long s, GEN y) { return gmaxgs(y,s); }
2505 : INLINE GEN
2506 0 : gminsg(long s, GEN y) { return gmings(y,s); }
2507 : INLINE GEN
2508 15086898 : gmulgs(GEN y, long s) { return gmulsg(s,y); }
2509 : INLINE GEN
2510 1353524 : gsubgs(GEN y, long s) { return gaddgs(y, -s); }
2511 : INLINE GEN
2512 682472 : gdivsg(long s, GEN y) { return gdiv(stoi(s), y); }
2513 :
2514 : /* x t_COMPLEX */
2515 : INLINE GEN
2516 13039142 : cxnorm(GEN x) { return gadd(gsqr(gel(x,1)), gsqr(gel(x,2))); }
2517 : /* q t_QUAD */
2518 : INLINE GEN
2519 623 : quadnorm(GEN q)
2520 : {
2521 623 : GEN X = gel(q,1), b = gel(X,3), c = gel(X,2);
2522 623 : GEN z, u = gel(q,3), v = gel(q,2);
2523 623 : if (typ(u) == t_INT && typ(v) == t_INT) /* generic case */
2524 : {
2525 308 : z = signe(b)? mulii(v, addii(u,v)): sqri(v);
2526 308 : return addii(z, mulii(c, sqri(u)));
2527 : }
2528 : else
2529 : {
2530 315 : z = signe(b)? gmul(v, gadd(u,v)): gsqr(v);
2531 315 : return gadd(z, gmul(c, gsqr(u)));
2532 : }
2533 : }
2534 : /* x a t_QUAD, return the attached discriminant */
2535 : INLINE GEN
2536 273 : quad_disc(GEN x)
2537 : {
2538 273 : GEN Q = gel(x,1), b = gel(Q,3), c = gel(Q,2), c4;
2539 273 : if (is_pm1(b))
2540 : {
2541 217 : pari_sp av = avma; (void)new_chunk(lgefint(c) + 1);
2542 217 : c4 = shifti(c,2); set_avma(av); return subsi(1, c4);
2543 : }
2544 56 : c4 = shifti(c,2); togglesign_safe(&c4); return c4;
2545 : }
2546 : INLINE GEN
2547 6386709 : qfb_disc3(GEN x, GEN y, GEN z) { return subii(sqri(y), shifti(mulii(x,z),2)); }
2548 : INLINE GEN
2549 6305775 : qfb_disc(GEN x) { return qfb_disc3(gel(x,1), gel(x,2), gel(x,3)); }
2550 :
2551 : INLINE GEN
2552 1285239 : sqrfrac(GEN x)
2553 : {
2554 1285239 : GEN z = cgetg(3,t_FRAC);
2555 1285239 : gel(z,1) = sqri(gel(x,1));
2556 1285239 : gel(z,2) = sqri(gel(x,2)); return z;
2557 : }
2558 :
2559 : INLINE void
2560 21830275 : normalize_frac(GEN z) {
2561 21830275 : if (signe(gel(z,2)) < 0) { togglesign(gel(z,1)); setabssign(gel(z,2)); }
2562 21830275 : }
2563 :
2564 : INLINE GEN
2565 265503 : powii(GEN x, GEN n)
2566 : {
2567 265503 : long ln = lgefint(n);
2568 265503 : if (ln == 3) {
2569 : GEN z;
2570 261114 : if (signe(n) > 0) return powiu(x, n[2]);
2571 8085 : z = cgetg(3, t_FRAC);
2572 8085 : gel(z,1) = gen_1;
2573 8085 : gel(z,2) = powiu(x, n[2]);
2574 8085 : return z;
2575 : }
2576 4389 : if (ln == 2) return gen_1; /* rare */
2577 : /* should never happen */
2578 0 : return powgi(x, n); /* overflow unless x = 0, 1, -1 */
2579 : }
2580 : INLINE GEN
2581 1246 : powIs(long n) {
2582 1246 : switch(n & 3)
2583 : {
2584 28 : case 1: return mkcomplex(gen_0,gen_1);
2585 378 : case 2: return gen_m1;
2586 518 : case 3: return mkcomplex(gen_0,gen_m1);
2587 : }
2588 322 : return gen_1;
2589 : }
2590 :
2591 : /*******************************************************************/
2592 : /* */
2593 : /* ASSIGNMENTS */
2594 : /* */
2595 : /*******************************************************************/
2596 0 : INLINE void mpexpz(GEN x, GEN z)
2597 0 : { pari_sp av = avma; gaffect(mpexp(x), z); set_avma(av); }
2598 0 : INLINE void mplogz(GEN x, GEN z)
2599 0 : { pari_sp av = avma; gaffect(mplog(x), z); set_avma(av); }
2600 0 : INLINE void mpcosz(GEN x, GEN z)
2601 0 : { pari_sp av = avma; gaffect(mpcos(x), z); set_avma(av); }
2602 0 : INLINE void mpsinz(GEN x, GEN z)
2603 0 : { pari_sp av = avma; gaffect(mpsin(x), z); set_avma(av); }
2604 0 : INLINE void gnegz(GEN x, GEN z)
2605 0 : { pari_sp av = avma; gaffect(gneg(x), z); set_avma(av); }
2606 0 : INLINE void gabsz(GEN x, long prec, GEN z)
2607 0 : { pari_sp av = avma; gaffect(gabs(x,prec), z); set_avma(av); }
2608 0 : INLINE void gaddz(GEN x, GEN y, GEN z)
2609 0 : { pari_sp av = avma; gaffect(gadd(x,y), z); set_avma(av); }
2610 0 : INLINE void gsubz(GEN x, GEN y, GEN z)
2611 0 : { pari_sp av = avma; gaffect(gsub(x,y), z); set_avma(av); }
2612 0 : INLINE void gmulz(GEN x, GEN y, GEN z)
2613 0 : { pari_sp av = avma; gaffect(gmul(x,y), z); set_avma(av); }
2614 0 : INLINE void gdivz(GEN x, GEN y, GEN z)
2615 0 : { pari_sp av = avma; gaffect(gdiv(x,y), z); set_avma(av); }
2616 0 : INLINE void gdiventz(GEN x, GEN y, GEN z)
2617 0 : { pari_sp av = avma; gaffect(gdivent(x,y), z); set_avma(av); }
2618 0 : INLINE void gmodz(GEN x, GEN y, GEN z)
2619 0 : { pari_sp av = avma; gaffect(gmod(x,y), z); set_avma(av); }
2620 0 : INLINE void gmul2nz(GEN x, long s, GEN z)
2621 0 : { pari_sp av = avma; gaffect(gmul2n(x,s), z); set_avma(av); }
2622 0 : INLINE void gshiftz(GEN x, long s, GEN z)
2623 0 : { pari_sp av = avma; gaffect(gshift(x,s), z); set_avma(av); }
2624 :
2625 : /*******************************************************************/
2626 : /* */
2627 : /* ELLIPTIC CURVES */
2628 : /* */
2629 : /*******************************************************************/
2630 3979912 : INLINE GEN ell_get_a1(GEN e) { return gel(e,1); }
2631 3095878 : INLINE GEN ell_get_a2(GEN e) { return gel(e,2); }
2632 3861794 : INLINE GEN ell_get_a3(GEN e) { return gel(e,3); }
2633 3888782 : INLINE GEN ell_get_a4(GEN e) { return gel(e,4); }
2634 4704933 : INLINE GEN ell_get_a6(GEN e) { return gel(e,5); }
2635 3318588 : INLINE GEN ell_get_b2(GEN e) { return gel(e,6); }
2636 1025012 : INLINE GEN ell_get_b4(GEN e) { return gel(e,7); }
2637 1630680 : INLINE GEN ell_get_b6(GEN e) { return gel(e,8); }
2638 1464043 : INLINE GEN ell_get_b8(GEN e) { return gel(e,9); }
2639 6167015 : INLINE GEN ell_get_c4(GEN e) { return gel(e,10); }
2640 7403493 : INLINE GEN ell_get_c6(GEN e) { return gel(e,11); }
2641 9653774 : INLINE GEN ell_get_disc(GEN e) { return gel(e,12); }
2642 1028909 : INLINE GEN ell_get_j(GEN e) { return gel(e,13); }
2643 11455433 : INLINE long ell_get_type(GEN e) { return mael(e,14,1); }
2644 1570454 : INLINE GEN ellff_get_field(GEN x) { return gmael(x, 15, 1); }
2645 683130 : INLINE GEN ellff_get_a4a6(GEN x) { return gmael(x, 15, 2); }
2646 1407 : INLINE GEN ellQp_get_zero(GEN x) { return gmael(x, 15, 1); }
2647 287 : INLINE long ellQp_get_prec(GEN E) { GEN z = ellQp_get_zero(E); return valp(z); }
2648 1085 : INLINE GEN ellQp_get_p(GEN E) { GEN z = ellQp_get_zero(E); return gel(z,2); }
2649 37156 : INLINE long ellR_get_prec(GEN x) { return nbits2prec(mael3(x, 15, 1, 1)); }
2650 12106 : INLINE long ellR_get_sign(GEN x) { return mael3(x, 15, 1, 2); }
2651 699447 : INLINE GEN ellnf_get_nf(GEN x) { return checknf_i(gmael(x,15,1)); }
2652 56 : INLINE GEN ellnf_get_bnf(GEN x) { return checkbnf_i(gmael(x,15,1)); }
2653 :
2654 4624934 : INLINE int checkell_i(GEN e) { return typ(e) == t_VEC && lg(e) == 17; }
2655 33981100 : INLINE int ell_is_inf(GEN z) { return lg(z) == 2; }
2656 809779 : INLINE GEN ellinf(void) { return mkvec(gen_0); }
2657 :
2658 : /*******************************************************************/
2659 : /* */
2660 : /* ALGEBRAIC NUMBER THEORY */
2661 : /* */
2662 : /*******************************************************************/
2663 8345413 : INLINE GEN modpr_get_pr(GEN x) { return gel(x,3); }
2664 609512 : INLINE GEN modpr_get_p(GEN x) { return pr_get_p(modpr_get_pr(x)); }
2665 2643898 : INLINE GEN modpr_get_T(GEN x) { return lg(x) == 4? NULL: gel(x,4); }
2666 :
2667 19992458 : INLINE GEN pr_get_p(GEN pr) { return gel(pr,1); }
2668 6618792 : INLINE GEN pr_get_gen(GEN pr){ return gel(pr,2); }
2669 : /* .[2] instead of itos works: e and f are small positive integers */
2670 2376878 : INLINE long pr_get_e(GEN pr) { return gel(pr,3)[2]; }
2671 9159600 : INLINE long pr_get_f(GEN pr) { return gel(pr,4)[2]; }
2672 6300188 : INLINE GEN pr_get_tau(GEN pr){ return gel(pr,5); }
2673 : INLINE int
2674 3189070 : pr_is_inert(GEN P) { return pr_get_f(P) == lg(pr_get_gen(P))-1; }
2675 : INLINE GEN
2676 232215 : pr_norm(GEN pr) { return powiu(pr_get_p(pr), pr_get_f(pr)); }
2677 : INLINE ulong
2678 48083 : upr_norm(GEN pr) { return upowuu(pr_get_p(pr)[2], pr_get_f(pr)); }
2679 :
2680 : /* assume nf a genuine nf */
2681 : INLINE long
2682 388924 : nf_get_varn(GEN nf) { return varn(gel(nf,1)); }
2683 : INLINE GEN
2684 31768433 : nf_get_pol(GEN nf) { return gel(nf,1); }
2685 : INLINE long
2686 25250431 : nf_get_degree(GEN nf) { return degpol( nf_get_pol(nf) ); }
2687 : INLINE long
2688 4136941 : nf_get_r1(GEN nf) { GEN x = gel(nf,2); return itou(gel(x,1)); }
2689 : INLINE long
2690 1673 : nf_get_r2(GEN nf) { GEN x = gel(nf,2); return itou(gel(x,2)); }
2691 : INLINE GEN
2692 53207 : nf_get_disc(GEN nf) { return gel(nf,3); }
2693 : INLINE GEN
2694 828932 : nf_get_index(GEN nf) { return gel(nf,4); }
2695 : INLINE GEN
2696 2864911 : nf_get_M(GEN nf) { return gmael(nf,5,1); }
2697 : INLINE GEN
2698 81517 : nf_get_G(GEN nf) { return gmael(nf,5,2); }
2699 : INLINE GEN
2700 408067 : nf_get_roundG(GEN nf) { return gmael(nf,5,3); }
2701 : INLINE GEN
2702 24367 : nf_get_Tr(GEN nf) { return gmael(nf,5,4); }
2703 : INLINE GEN
2704 2324 : nf_get_diff(GEN nf) { return gmael(nf,5,5); }
2705 : INLINE GEN
2706 196 : nf_get_ramified_primes(GEN nf) { return gmael(nf,5,8); }
2707 : INLINE GEN
2708 332931 : nf_get_roots(GEN nf) { return gel(nf,6); }
2709 : INLINE GEN
2710 98 : nf_get_zk(GEN nf)
2711 : {
2712 98 : GEN y = gel(nf,7), D = gel(y, 1);
2713 98 : if (typ(D) == t_POL) D = gel(D, 2);
2714 98 : if (!equali1(D)) y = gdiv(y, D);
2715 98 : return y;
2716 : }
2717 : INLINE GEN
2718 279056 : nf_get_zkprimpart(GEN nf)
2719 : {
2720 279056 : GEN y = gel(nf,7);
2721 : /* test for old format of nf.zk: non normalized */
2722 279056 : if (!equali1(gel(nf,4)) && gequal1(gel(y,1))) y = Q_remove_denom(y,NULL);
2723 279054 : return y;
2724 : }
2725 : INLINE GEN
2726 280203 : nf_get_zkden(GEN nf)
2727 : {
2728 280203 : GEN y = gel(nf,7), D = gel(y,1);
2729 280203 : if (typ(D) == t_POL) D = gel(D,2);
2730 : /* test for old format of nf.zk: non normalized */
2731 280203 : if (!equali1(gel(nf,4)) && equali1(D)) D = Q_denom(y);
2732 280199 : return D;
2733 : }
2734 : INLINE GEN
2735 2487021 : nf_get_invzk(GEN nf) { return gel(nf,8); }
2736 : INLINE void
2737 22843 : nf_get_sign(GEN nf, long *r1, long *r2)
2738 : {
2739 22843 : GEN x = gel(nf,2);
2740 22843 : *r1 = itou(gel(x,1));
2741 22843 : *r2 = itou(gel(x,2));
2742 22843 : }
2743 :
2744 : INLINE GEN
2745 92758 : abgrp_get_no(GEN x) { return gel(x,1); }
2746 : INLINE GEN
2747 2430512 : abgrp_get_cyc(GEN x) { return gel(x,2); }
2748 : INLINE GEN
2749 437924 : abgrp_get_gen(GEN x) { return gel(x,3); }
2750 : INLINE GEN
2751 2217774 : bnf_get_nf(GEN bnf) { return gel(bnf,7); }
2752 : INLINE GEN
2753 863472 : bnf_get_clgp(GEN bnf) { return gmael(bnf,8,1); }
2754 : INLINE GEN
2755 6713 : bnf_get_no(GEN bnf) { return abgrp_get_no(bnf_get_clgp(bnf)); }
2756 : INLINE GEN
2757 465441 : bnf_get_cyc(GEN bnf) { return abgrp_get_cyc(bnf_get_clgp(bnf)); }
2758 : INLINE GEN
2759 390989 : bnf_get_gen(GEN bnf) { return abgrp_get_gen(bnf_get_clgp(bnf)); }
2760 : INLINE GEN
2761 846 : bnf_get_reg(GEN bnf) { return gmael(bnf,8,2); }
2762 : INLINE GEN
2763 502386 : bnf_get_logfu(GEN bnf) { return gel(bnf,3); }
2764 : INLINE GEN
2765 7457 : bnf_get_tuU(GEN bnf) { return gmael3(bnf,8,4,2); }
2766 : INLINE long
2767 40208 : bnf_get_tuN(GEN bnf) { return gmael3(bnf,8,4,1)[2]; }
2768 : INLINE GEN
2769 1778 : bnf_get_fu(GEN bnf) {
2770 1778 : GEN fu = bnf_get_fu_nocheck(bnf);
2771 1778 : if (typ(fu) == t_MAT) pari_err(e_MISC,"missing units in bnf");
2772 1778 : return fu;
2773 : }
2774 : INLINE GEN
2775 8885 : bnf_get_fu_nocheck(GEN bnf) { return gmael(bnf,8,5); }
2776 :
2777 : INLINE GEN
2778 862377 : bnr_get_bnf(GEN bnr) { return gel(bnr,1); }
2779 : INLINE GEN
2780 442133 : bnr_get_bid(GEN bnr) { return gel(bnr,2); }
2781 : INLINE GEN
2782 18648 : bnr_get_mod(GEN bnr) { return gmael(bnr,2,1); }
2783 : INLINE GEN
2784 32557 : bnr_get_nf(GEN bnr) { return gmael(bnr,1,7); }
2785 : INLINE GEN
2786 683850 : bnr_get_clgp(GEN bnr) { return gel(bnr,5); }
2787 : INLINE GEN
2788 82278 : bnr_get_no(GEN bnr) { return abgrp_get_no(bnr_get_clgp(bnr)); }
2789 : INLINE GEN
2790 585528 : bnr_get_cyc(GEN bnr) { return abgrp_get_cyc(bnr_get_clgp(bnr)); }
2791 : INLINE GEN
2792 70 : bnr_get_gen_nocheck(GEN bnr) { return abgrp_get_gen(bnr_get_clgp(bnr)); }
2793 : INLINE GEN
2794 14931 : bnr_get_gen(GEN bnr) {
2795 14931 : GEN G = bnr_get_clgp(bnr);
2796 14931 : if (lg(G) != 4)
2797 0 : pari_err(e_MISC,"missing bnr generators: please use bnrinit(,,1)");
2798 14931 : return gel(G,3);
2799 : }
2800 :
2801 : INLINE GEN
2802 330413 : bid_get_mod(GEN bid) { return gel(bid,1); }
2803 : INLINE GEN
2804 65947 : bid_get_ideal(GEN bid) { return gmael(bid,1,1); }
2805 : INLINE GEN
2806 707 : bid_get_arch(GEN bid) { return gmael(bid,1,2); }
2807 : INLINE GEN
2808 1236477 : bid_get_grp(GEN bid) { return gel(bid,2); }
2809 : INLINE GEN
2810 497468 : bid_get_fact(GEN bid) { return gmael(bid,3,1); }
2811 : INLINE GEN
2812 427559 : bid_get_fact2(GEN bid) { return gmael(bid,3,2); }
2813 : INLINE GEN
2814 427370 : bid_get_sprk(GEN bid) { return gmael(bid,4,1); }
2815 : INLINE GEN
2816 49203 : bid_get_sarch(GEN bid) { return gmael(bid,4,2); }
2817 : INLINE GEN
2818 463161 : bid_get_archp(GEN bid) { return gmael3(bid,4,2,2); }
2819 : INLINE GEN
2820 757993 : bid_get_U(GEN bid) { return gel(bid,5); }
2821 : INLINE GEN
2822 0 : bid_get_no(GEN bid) { return abgrp_get_no(bid_get_grp(bid)); }
2823 : INLINE GEN
2824 1190536 : bid_get_cyc(GEN bid) { return abgrp_get_cyc(bid_get_grp(bid)); }
2825 : INLINE GEN
2826 0 : bid_get_gen_nocheck(GEN bid) { return abgrp_get_gen(bid_get_grp(bid)); }
2827 : INLINE GEN
2828 45346 : bid_get_gen(GEN bid) {
2829 45346 : GEN G = bid_get_grp(bid);
2830 45346 : if (lg(G) != 4) pari_err(e_MISC,"missing bid generators. Use idealstar(,,2)");
2831 45346 : return abgrp_get_gen(G);
2832 : }
2833 :
2834 : INLINE GEN
2835 21944062 : znstar_get_N(GEN G) { return gmael(G,1,1); }
2836 : INLINE GEN
2837 2814224 : znstar_get_faN(GEN G) { return gel(G,3); }
2838 : INLINE GEN
2839 7 : znstar_get_no(GEN G) { return abgrp_get_no(gel(G,2)); }
2840 : INLINE GEN
2841 187586 : znstar_get_cyc(GEN G) { return abgrp_get_cyc(gel(G,2)); }
2842 : INLINE GEN
2843 7 : znstar_get_gen(GEN G) { return abgrp_get_gen(gel(G,2)); }
2844 : INLINE GEN
2845 3488156 : znstar_get_conreycyc(GEN G) { return gmael(G,4,5); }
2846 : INLINE GEN
2847 1190742 : znstar_get_conreygen(GEN G) { return gmael(G,4,4); }
2848 : INLINE GEN
2849 45920 : znstar_get_Ui(GEN G) { return gmael(G,4,3); }
2850 : INLINE GEN
2851 118160 : znstar_get_U(GEN G) { return gel(G,5); }
2852 : INLINE GEN
2853 800366 : znstar_get_pe(GEN G) { return gmael(G,4,1); }
2854 : INLINE GEN
2855 19894 : gal_get_pol(GEN gal) { return gel(gal,1); }
2856 : INLINE GEN
2857 1323 : gal_get_p(GEN gal) { return gmael(gal,2,1); }
2858 : INLINE GEN
2859 84 : gal_get_e(GEN gal) { return gmael(gal,2,2); }
2860 : INLINE GEN
2861 15960 : gal_get_mod(GEN gal) { return gmael(gal,2,3); }
2862 : INLINE GEN
2863 16338 : gal_get_roots(GEN gal) { return gel(gal,3); }
2864 : INLINE GEN
2865 15918 : gal_get_invvdm(GEN gal) { return gel(gal,4); }
2866 : INLINE GEN
2867 15918 : gal_get_den(GEN gal) { return gel(gal,5); }
2868 : INLINE GEN
2869 66994 : gal_get_group(GEN gal) { return gel(gal,6); }
2870 : INLINE GEN
2871 1743 : gal_get_gen(GEN gal) { return gel(gal,7); }
2872 : INLINE GEN
2873 1379 : gal_get_orders(GEN gal) { return gel(gal,8); }
2874 :
2875 : /* assume rnf a genuine rnf */
2876 : INLINE long
2877 1233638 : rnf_get_degree(GEN rnf) { return degpol(rnf_get_pol(rnf)); }
2878 : INLINE long
2879 16471 : rnf_get_nfdegree(GEN rnf) { return degpol(nf_get_pol(rnf_get_nf(rnf))); }
2880 : INLINE long
2881 775698 : rnf_get_absdegree(GEN rnf) { return degpol(gmael(rnf,11,1)); }
2882 : INLINE GEN
2883 700 : rnf_get_idealdisc(GEN rnf) { return gmael(rnf,3,1); }
2884 : INLINE GEN
2885 742 : rnf_get_k(GEN rnf) { return gmael(rnf,11,3); }
2886 : INLINE GEN
2887 609 : rnf_get_alpha(GEN rnf) { return gmael(rnf, 11, 2); }
2888 : INLINE GEN
2889 384825 : rnf_get_nf(GEN rnf) { return gel(rnf,10); }
2890 : INLINE GEN
2891 3178 : rnf_get_nfzk(GEN rnf) { return gel(rnf,2); }
2892 : INLINE GEN
2893 205254 : rnf_get_polabs(GEN rnf) { return gmael(rnf,11,1); }
2894 : INLINE GEN
2895 1479849 : rnf_get_pol(GEN rnf) { return gel(rnf,1); }
2896 : INLINE GEN
2897 63 : rnf_get_disc(GEN rnf) { return gel(rnf,3); }
2898 : INLINE GEN
2899 105 : rnf_get_index(GEN rnf) { return gel(rnf,4); }
2900 : INLINE long
2901 0 : rnf_get_varn(GEN rnf) { return varn(gel(rnf,1)); }
2902 : INLINE GEN
2903 188580 : rnf_get_nfpol(GEN rnf) { return gmael(rnf,10,1); }
2904 : INLINE long
2905 3325 : rnf_get_nfvarn(GEN rnf) { return varn(gmael(rnf,10,1)); }
2906 : INLINE GEN
2907 3290 : rnf_get_zk(GEN rnf) { return gel(rnf,7); }
2908 : INLINE GEN
2909 96915 : rnf_get_map(GEN rnf) { return gel(rnf,11); }
2910 : INLINE GEN
2911 1197 : rnf_get_invzk(GEN rnf) { return gel(rnf,8); }
2912 :
2913 : /* I integral ZM (not HNF), G ZM, rounded Cholesky form of a weighted
2914 : * T2 matrix. Reduce I wrt G */
2915 : INLINE GEN
2916 21784 : idealpseudored(GEN I, GEN G)
2917 21784 : { return ZM_mul(I, ZM_lll(ZM_mul(G, I), 0.99, LLL_IM)); }
2918 :
2919 : /* I integral (not necessarily HNF), G ZM, rounded Cholesky form of a weighted
2920 : * T2 matrix. Return m in I with T2(m) small */
2921 : INLINE GEN
2922 140674 : idealpseudomin(GEN I, GEN G)
2923 : {
2924 140674 : GEN u = ZM_lll(ZM_mul(G, I), 0.99, LLL_IM);
2925 140674 : return ZM_ZC_mul(I, gel(u,1));
2926 : }
2927 : /* I, G as in idealpseudomin. Return an irrational m in I with T2(m) small */
2928 : INLINE GEN
2929 298542 : idealpseudomin_nonscalar(GEN I, GEN G)
2930 : {
2931 298542 : GEN u = ZM_lll(ZM_mul(G, I), 0.99, LLL_IM);
2932 298542 : GEN m = ZM_ZC_mul(I, gel(u,1));
2933 298542 : if (ZV_isscalar(m) && lg(u) > 2) m = ZM_ZC_mul(I, gel(u,2));
2934 298542 : return m;
2935 : }
2936 :
2937 : INLINE GEN
2938 826 : idealred_elt(GEN nf, GEN I) {
2939 826 : pari_sp av = avma;
2940 826 : GEN u = idealpseudomin(I, nf_get_roundG(nf));
2941 826 : return gerepileupto(av, u);
2942 : }
2943 : INLINE GEN
2944 122877 : idealred(GEN nf, GEN I) { return idealred0(nf, I, NULL); }
2945 :
2946 : INLINE GEN
2947 2058 : idealchineseinit(GEN nf, GEN x)
2948 2058 : { return idealchinese(nf,x,NULL); }
2949 :
2950 : /*******************************************************************/
2951 : /* */
2952 : /* CLOSURES */
2953 : /* */
2954 : /*******************************************************************/
2955 226072098 : INLINE long closure_arity(GEN C) { return ((ulong)C[1])&ARITYBITS; }
2956 35511217 : INLINE long closure_is_variadic(GEN C) { return !!(((ulong)C[1])&VARARGBITS); }
2957 190259088 : INLINE const char *closure_codestr(GEN C) { return GSTR(gel(C,2))-1; }
2958 0 : INLINE GEN closure_get_code(GEN C) { return gel(C,2); }
2959 190218281 : INLINE GEN closure_get_oper(GEN C) { return gel(C,3); }
2960 190202568 : INLINE GEN closure_get_data(GEN C) { return gel(C,4); }
2961 9708 : INLINE GEN closure_get_dbg(GEN C) { return gel(C,5); }
2962 23224 : INLINE GEN closure_get_text(GEN C) { return gel(C,6); }
2963 1234250 : INLINE GEN closure_get_frame(GEN C) { return gel(C,7); }
2964 :
2965 : /*******************************************************************/
2966 : /* */
2967 : /* ERRORS */
2968 : /* */
2969 : /*******************************************************************/
2970 : INLINE long
2971 52828 : err_get_num(GEN e) { return e[1]; }
2972 : INLINE GEN
2973 77 : err_get_compo(GEN e, long i) { return gel(e, i+1); }
2974 :
2975 : INLINE void
2976 14 : pari_err_BUG(const char *f) { pari_err(e_BUG,f); }
2977 : INLINE void
2978 7 : pari_err_CONSTPOL(const char *f) { pari_err(e_CONSTPOL, f); }
2979 : INLINE void
2980 63 : pari_err_COPRIME(const char *f, GEN x, GEN y) { pari_err(e_COPRIME, f,x,y); }
2981 : INLINE void
2982 487 : pari_err_DIM(const char *f) { pari_err(e_DIM, f); }
2983 : INLINE void
2984 0 : pari_err_FILE(const char *f, const char *g) { pari_err(e_FILE, f,g); }
2985 : INLINE void
2986 0 : pari_err_FILEDESC(const char *f, long n) { pari_err(e_FILEDESC, f,n); }
2987 : INLINE void
2988 63 : pari_err_FLAG(const char *f) { pari_err(e_FLAG,f); }
2989 : INLINE void
2990 427 : pari_err_IMPL(const char *f) { pari_err(e_IMPL,f); }
2991 : INLINE void
2992 19716 : pari_err_INV(const char *f, GEN x) { pari_err(e_INV,f,x); }
2993 : INLINE void
2994 28 : pari_err_IRREDPOL(const char *f, GEN x) { pari_err(e_IRREDPOL, f,x); }
2995 : INLINE void
2996 2085 : 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); }
2997 : INLINE void
2998 196 : pari_err_COMPONENT(const char *f, const char *op, GEN l, GEN x) { pari_err(e_COMPONENT, f,op,l,x); }
2999 : INLINE void
3000 0 : pari_err_MAXPRIME(ulong c) { pari_err(e_MAXPRIME, c); }
3001 : INLINE void
3002 350 : pari_err_OP(const char *f, GEN x, GEN y) { pari_err(e_OP, f,x,y); }
3003 : INLINE void
3004 86 : pari_err_OVERFLOW(const char *f) { pari_err(e_OVERFLOW, f); }
3005 : INLINE void
3006 218 : pari_err_PREC(const char *f) { pari_err(e_PREC,f); }
3007 : INLINE void
3008 0 : pari_err_PACKAGE(const char *f) { pari_err(e_PACKAGE,f); }
3009 : INLINE void
3010 70 : pari_err_PRIME(const char *f, GEN x) { pari_err(e_PRIME, f,x); }
3011 : INLINE void
3012 749 : pari_err_MODULUS(const char *f, GEN x, GEN y) { pari_err(e_MODULUS, f,x,y); }
3013 : INLINE void
3014 49 : pari_err_ROOTS0(const char *f) { pari_err(e_ROOTS0, f); }
3015 : INLINE void
3016 77 : pari_err_SQRTN(const char *f, GEN x) { pari_err(e_SQRTN, f,x); }
3017 : INLINE void
3018 12678 : pari_err_TYPE(const char *f, GEN x) { pari_err(e_TYPE, f,x); }
3019 : INLINE void
3020 3045 : pari_err_TYPE2(const char *f, GEN x, GEN y) { pari_err(e_TYPE2, f,x,y); }
3021 : INLINE void
3022 280 : pari_err_VAR(const char *f, GEN x, GEN y) { pari_err(e_VAR, f,x,y); }
3023 : INLINE void
3024 182 : pari_err_PRIORITY(const char *f, GEN x, const char *op, long v)
3025 182 : { pari_err(e_PRIORITY, f,x,op,v); }
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