"""
Declarations for non-inline functions from PARI.
This file contains all declarations from headers/paridecl.h from
the PARI distribution, except the inline functions which are in
sage/libs/pari/declinl.pxi (that file is automatically included by
this file).
AUTHORS:
- (unknown authors before 2010)
- Robert Bradshaw, Jeroen Demeyer, William Stein (2010-08-15):
Upgrade to PARI 2.4.3 (#9343)
- Jeroen Demeyer (2010-08-15): big clean up (#9898)
"""
include '../../ext/cdefs.pxi'
cdef extern from 'setjmp.h':
struct __jmp_buf_tag:
pass
ctypedef __jmp_buf_tag jmp_buf
int setjmp (jmp_buf __env)
int longjmp (jmp_buf __env, int val)
ctypedef unsigned long ulong
cdef extern from 'pari/paricfg.h':
char* PARIVERSION
cdef extern from 'pari/pari.h':
ctypedef long* GEN
# PARI types: these are actually an enum type, but I can't get Pyrex to "properly"
# wrap enums. It doesn't matter as long as they are treated as ints by pyrex.
extern int t_INT, t_REAL, t_INTMOD, t_FRAC, t_FFELT, t_COMPLEX, t_PADIC, t_QUAD, \
t_POLMOD, t_POL, t_SER, t_RFRAC, t_QFR, t_QFI, t_VEC, t_COL, \
t_MAT, t_LIST, t_STR, t_VECSMALL, t_CLOSURE
# PARI stack
ctypedef unsigned long pari_sp
extern pari_sp avma, bot, top
# parigen.h
extern int BITS_IN_LONG
extern int DEFAULTPREC # 64 bits precision
extern int MEDDEFAULTPREC # 128 bits precision
extern int BIGDEFAULTPREC # 192 bits precision
long typ(GEN x)
long settyp(GEN x, long s)
long isclone(GEN x)
long setisclone(GEN x)
long unsetisclone(GEN x)
long lg(GEN x)
long setlg(GEN x, long s)
long signe(GEN x)
long setsigne(GEN x, long s)
long lgefint(GEN x) # macro
long setlgefint(GEN x, long s) # macro
long expo(GEN x)
long setexpo(GEN x, long s)
long valp(GEN x)
long setvalp(GEN x, long s)
long precp(GEN x)
long setprecp(GEN x, long s)
long varn(GEN x)
long setvarn(GEN x, long s)
long evaltyp(long x)
long evallg(long x)
long evalvarn(long x)
long evalsigne(long x)
long evalprecp(long x)
long evalvalp(long x)
long evalexpo(long x)
long evallgefint(long x)
# paricast.h
long mael2(GEN,long,long)
long mael3(GEN,long,long,long)
long mael4(GEN,long,long,long,long)
long mael5(GEN,long,long,long,long,long)
long mael(GEN,long,long)
GEN gmael1(GEN,long)
GEN gmael2(GEN,long,long)
GEN gmael3(GEN,long,long,long)
GEN gmael4(GEN,long,long,long,long)
GEN gmael5(GEN,long,long,long,long,long)
GEN gmael(GEN,long,long)
GEN gel(GEN,long)
GEN gcoeff(GEN,long,long)
long coeff(GEN,long,long)
# paricom.h
GEN gpi
GEN geuler
GEN gen_m1
GEN gen_1
GEN gen_2
GEN ghalf
GEN gi
GEN gen_0
GEN gnil
extern int INIT_JMPm, INIT_SIGm, INIT_DFTm
extern int new_galois_format, precdl
# level1.h (incomplete!)
GEN cgetg_copy(long lx, GEN x)
GEN cgetg(long x, long y)
GEN cgeti(long x)
GEN cgetr(long x)
long itos(GEN x)
GEN real_0_bit(long bitprec)
GEN stoi(long s)
# Flx.c
GEN Fl_to_Flx(ulong x, long sv)
GEN Flm_to_FlxV(GEN x, long sv)
GEN Flm_to_FlxX(GEN x, long v,long w)
GEN Flm_to_ZM(GEN z)
GEN Flv_to_Flx(GEN x, long vs)
GEN Flv_to_ZV(GEN z)
GEN Flv_polint(GEN xa, GEN ya, ulong p, long vs)
GEN Flv_roots_to_pol(GEN a, ulong p, long vs)
GEN Flx_Fl_mul(GEN y, ulong x, ulong p)
GEN Flx_to_Flv(GEN x, long N)
GEN Flx_to_ZX(GEN z)
GEN Flx_to_ZX_inplace(GEN z)
GEN Flx_add(GEN x, GEN y, ulong p)
GEN Flx_deriv(GEN z, ulong p)
GEN Flx_div_by_X_x(GEN a, ulong x, ulong p, ulong *rem)
GEN Flx_divrem(GEN x, GEN y, ulong p, GEN *pr)
ulong Flx_eval(GEN x, ulong y, ulong p)
GEN Flx_extgcd(GEN a, GEN b, ulong p, GEN *ptu, GEN *ptv)
ulong Flx_extresultant(GEN a, GEN b, ulong p, GEN *ptU, GEN *ptV)
GEN Flx_gcd(GEN a, GEN b, ulong p)
GEN Flx_gcd_i(GEN a, GEN b, ulong p)
int Flx_is_squarefree(GEN z, ulong p)
GEN Flx_mul(GEN x, GEN y, ulong p)
GEN Flx_neg(GEN x, ulong p)
GEN Flx_neg_inplace(GEN x, ulong p)
GEN Flx_normalize(GEN z, ulong p)
GEN Flx_pow(GEN x, long n, ulong p)
GEN Flx_recip(GEN x)
GEN Flx_red(GEN z, ulong p)
GEN Flx_rem(GEN x, GEN y, ulong p)
GEN Flx_renormalize(GEN x, long l)
ulong Flx_resultant(GEN a, GEN b, ulong p)
GEN Flx_shift(GEN a, long n)
GEN Flx_sqr(GEN x, ulong p)
GEN Flx_sub(GEN x, GEN y, ulong p)
GEN FlxM_to_ZXM(GEN z)
GEN FlxV_to_Flm(GEN v, long n)
GEN FlxX_add(GEN P, GEN Q, ulong p)
GEN FlxX_shift(GEN a, long n)
GEN FlxX_to_Flm(GEN v, long n)
GEN FlxX_to_ZXX(GEN B)
GEN FlxYqQ_pow(GEN x, GEN n, GEN S, GEN T, ulong p)
GEN Flxq_inv(GEN x,GEN T,ulong p)
GEN Flxq_invsafe(GEN x, GEN T, ulong p)
GEN Flxq_mul(GEN y,GEN x,GEN T,ulong p)
GEN Flxq_pow(GEN x, GEN n, GEN T, ulong p)
GEN Flxq_powers(GEN x, long l, GEN T, ulong p)
GEN Flxq_sqr(GEN y,GEN T,ulong p)
GEN FlxqX_normalize(GEN z, GEN T, ulong p)
GEN FlxqX_Flxq_mul(GEN P, GEN U, GEN T, ulong p)
GEN FlxqX_red(GEN z, GEN T, ulong p)
GEN FlxqX_mul(GEN x, GEN y, GEN T, ulong p)
GEN FlxqX_safegcd(GEN P, GEN Q, GEN T, ulong p)
GEN FlxqX_sqr(GEN x, GEN T, ulong p)
GEN FlxqX_divrem(GEN x, GEN y, GEN T, ulong p, GEN *pr)
GEN FlxqXQ_pow(GEN x, GEN n, GEN S, GEN T, ulong p)
GEN Z_to_Flx(GEN x, ulong p, long v)
GEN ZM_to_Flm(GEN x, ulong p)
GEN ZV_to_Flv(GEN x, ulong p)
GEN ZX_to_Flx(GEN x, ulong p)
GEN ZXV_to_FlxV(GEN v, ulong p)
GEN ZXX_to_FlxX(GEN B, ulong p, long v)
GEN polx_Flx(long sv)
GEN zero_Flx(long sv)
# alglin1.c
GEN Flm_deplin(GEN x, ulong p)
GEN Flm_indexrank(GEN x, ulong p)
GEN Flm_inv(GEN x, ulong p)
GEN Flm_ker(GEN x, ulong p)
GEN Flm_ker_sp(GEN x, ulong p, long deplin)
GEN Flm_mul(GEN x, GEN y, ulong p)
GEN FlxqM_ker(GEN x, GEN T, ulong p)
GEN FpC_FpV_mul(GEN x, GEN y, GEN p)
GEN FpM_deplin(GEN x, GEN p)
GEN FpM_image(GEN x, GEN p)
GEN FpM_intersect(GEN x, GEN y, GEN p)
GEN FpM_inv(GEN x, GEN p)
GEN FpM_invimage(GEN m, GEN v, GEN p)
GEN FpM_ker(GEN x, GEN p)
GEN FpM_mul(GEN x, GEN y, GEN p)
long FpM_rank(GEN x, GEN p)
GEN FpM_indexrank(GEN x, GEN p)
GEN FpM_suppl(GEN x, GEN p)
GEN FqM_gauss(GEN a, GEN b, GEN T, GEN p)
GEN FqM_ker(GEN x, GEN T, GEN p)
GEN FqM_suppl(GEN x, GEN T, GEN p)
GEN QM_inv(GEN M, GEN dM)
GEN ZM_inv(GEN M, GEN dM)
GEN concat(GEN x, GEN y)
GEN deplin(GEN x)
GEN det(GEN a)
GEN det0(GEN a,long flag)
GEN det2(GEN a)
GEN detint(GEN x)
GEN diagonal(GEN x)
GEN eigen(GEN x, long prec)
GEN shallowextract(GEN x, GEN l)
GEN extract0(GEN x, GEN l1, GEN l2)
GEN gauss(GEN a, GEN b)
GEN gaussmodulo(GEN M, GEN D, GEN Y)
GEN gaussmodulo2(GEN M, GEN D, GEN Y)
GEN scalarmat_s(long x, long n)
GEN gtomat(GEN x)
GEN gtrans(GEN x)
int hnfdivide(GEN A, GEN B)
GEN matid(long n)
GEN image(GEN x)
GEN image2(GEN x)
GEN imagecompl(GEN x)
GEN indexrank(GEN x)
GEN inverseimage(GEN mat, GEN y)
long isdiagonal(GEN x)
GEN ker(GEN x)
GEN keri(GEN x)
GEN matimage0(GEN x,long flag)
GEN matker0(GEN x, long flag)
GEN matmuldiagonal(GEN x, GEN d)
GEN matmultodiagonal(GEN x, GEN y)
GEN matsolvemod0(GEN M, GEN D, GEN Y,long flag)
long rank(GEN x)
GEN indexrank(GEN x)
# we rename sum to pari_sum to avoid conflicts with
# python's sum function
GEN pari_sum "sum"(GEN v, long a, long b)
GEN suppl(GEN x)
GEN vconcat(GEN A, GEN B)
# alglin2.c
GEN ZM_to_zm(GEN z)
GEN adj(GEN x)
GEN caract(GEN x, int v)
GEN caradj(GEN x, long v, GEN *py)
GEN carhess(GEN x, long v)
GEN charpoly0(GEN x, int v,long flag)
GEN conjvec(GEN x,long prec)
GEN gconj(GEN x)
GEN gnorm(GEN x)
GEN gnorml1(GEN x,long prec)
GEN gnorml2(GEN x)
GEN gtrace(GEN x)
GEN hess(GEN x)
GEN hnf(GEN x)
GEN hnfall(GEN x)
GEN hnflll(GEN x)
GEN hnfmod(GEN x, GEN detmat)
GEN hnfmodid(GEN x,GEN p)
GEN hnfperm(GEN x)
GEN intersect(GEN x, GEN y)
GEN jacobi(GEN a, long prec)
GEN matfrobenius(GEN M, long flag, long v)
GEN matrixqz(GEN x, GEN pp)
GEN matrixqz0(GEN x, GEN pp)
GEN qfsign(GEN a)
GEN smith(GEN x)
GEN smithall(GEN x)
GEN smithclean(GEN z)
GEN qfgaussred(GEN a)
GEN zm_to_ZM(GEN z)
GEN zx_to_ZX(GEN z)
# anal.c
void addhelp(char *e, char *s)
long delete_var()
long fetch_user_var(char *s)
long fetch_var()
GEN gp_read_str(char *s)
void kill0(char *e)
void name_var(long n, char *s)
GEN readseq(char *t)
GEN strtoGENstr(char *s)
GEN type0(GEN x)
# arith1.c
GEN bestappr0(GEN x, GEN a, GEN b)
GEN bestappr(GEN x, GEN k)
long cgcd(long a,long b)
void check_quaddisc(GEN x, long *s, long *r, char *f)
GEN chinese(GEN x, GEN y)
GEN classno2(GEN x)
GEN classno(GEN x)
long clcm(long a,long b)
GEN contfrac0(GEN x, GEN b, long flag)
GEN fibo(long n)
GEN gboundcf(GEN x, long k)
GEN gissquareall(GEN x, GEN *pt)
GEN gissquare(GEN x)
GEN gcf2(GEN b, GEN x)
GEN gcf(GEN x)
GEN quadunit(GEN x)
long gisanypower(GEN x, GEN *pty)
GEN gisprime(GEN x, long flag)
GEN gispseudoprime(GEN x, long flag)
GEN gkronecker(GEN x, GEN y)
GEN gnextprime(GEN n)
GEN gprecprime(GEN n)
GEN quadregulator(GEN x, long prec)
GEN hclassno(GEN x)
long hilbert0 "hilbert"(GEN x, GEN y, GEN p)
long Z_isfundamental(GEN x)
long ispower(GEN x, GEN k, GEN *pty)
long isprimeAPRCL(GEN N)
long isprime(GEN x)
long ispseudoprime(GEN x, long flag)
long krois(GEN x, long y)
long kronecker(GEN x, GEN y)
long krosi(long s, GEN x)
long kross(long x, long y)
long krouu(ulong x, ulong y)
GEN lcmii(GEN a, GEN b)
GEN mpfact(long n)
GEN mpfactr(long n, long prec)
GEN Fp_pow(GEN a, GEN n, GEN m)
GEN Fp_sqrt(GEN a, GEN p)
GEN Fp_sqrtn(GEN a, GEN n, GEN p, GEN *zetan)
GEN nucomp(GEN x, GEN y, GEN l)
GEN nudupl(GEN x, GEN l)
GEN nupow(GEN x, GEN n)
GEN order(GEN x)
GEN pnqn(GEN x)
GEN primeform(GEN x, GEN p, long prec)
GEN Qfb0(GEN x, GEN y, GEN z, GEN d, long prec)
GEN qfbclassno0(GEN x,long flag)
GEN qfbred0(GEN x, long flag, GEN D, GEN isqrtD, GEN sqrtD)
GEN qfbsolve(GEN Q, GEN n)
GEN qfi(GEN x, GEN y, GEN z)
GEN qfr(GEN x, GEN y, GEN z, GEN d)
GEN quaddisc(GEN x)
GEN redimag(GEN x)
GEN redreal(GEN x)
GEN redrealnod(GEN x, GEN isqrtD)
GEN rhoreal(GEN x)
GEN rhorealnod(GEN x, GEN isqrtD)
ulong Fl_sqrt(ulong a, ulong p)
GEN znprimroot0(GEN m)
GEN znstar(GEN x)
# arith2.c
GEN addprimes(GEN primes)
long bigomega(GEN n)
GEN binaire(GEN x)
long bittest(GEN x, long n)
GEN boundfact(GEN n, long lim)
GEN core(GEN n)
GEN corepartial(GEN n, long l)
GEN core0(GEN n,long flag)
GEN core2(GEN n)
GEN core2partial(GEN n, long l)
GEN coredisc(GEN n)
GEN coredisc0(GEN n,long flag)
GEN coredisc2(GEN n)
GEN Z_factor(GEN n)
GEN divisors(GEN n)
GEN factorint(GEN n, long flag)
GEN gbigomega(GEN n)
GEN gbitand(GEN x, GEN y)
GEN gbitneg(GEN x, long n)
GEN gbitnegimply(GEN x, GEN y)
GEN gbitor(GEN x, GEN y)
GEN gbittest(GEN x, GEN n)
GEN gbitxor(GEN x, GEN y)
GEN gissquarefree(GEN x)
GEN gmoebius(GEN n)
GEN gnumbdiv(GEN n)
GEN gomega(GEN n)
GEN gsumdiv(GEN n)
GEN gsumdivk(GEN n,long k)
char* initprimes(ulong maxnum)
long issquarefree(GEN x)
ulong maxprime()
void maxprime_check(ulong c)
GEN numbdiv(GEN n)
long omega(GEN n)
GEN geulerphi(GEN n)
GEN prime(long n)
GEN primepi(GEN x)
GEN primes(long n)
GEN removeprimes(GEN primes)
GEN sumdiv(GEN n)
GEN sumdivk(GEN n,long k)
# base1.c
GEN bnfnewprec(GEN nf, long prec)
GEN bnrnewprec(GEN bnr, long prec)
void checkbid(GEN bid)
GEN checkbnf(GEN bnf)
void checkbnr(GEN bnr)
void checkbnrgen(GEN bnr)
GEN checknf(GEN nf)
GEN checknfelt_mod(GEN nf, GEN x, char *s)
void checkrnf(GEN rnf)
GEN galoisapply(GEN nf, GEN aut, GEN x)
GEN polgalois(GEN x, long prec)
GEN get_bnf(GEN x, long *t)
GEN get_bnfpol(GEN x, GEN *bnf, GEN *nf)
GEN get_nf(GEN x, long *t)
GEN get_nfpol(GEN x, GEN *nf)
GEN glambdak(GEN nfz, GEN s, long prec)
GEN gsmith(GEN x)
GEN gsmithall(GEN x)
GEN gzetak(GEN nfz, GEN s, long prec)
GEN gzetakall(GEN nfz, GEN s, long flag, long prec)
GEN mathnf0(GEN x,long flag)
GEN matsnf0(GEN x,long flag)
GEN nfinit0(GEN x, long flag, long prec)
GEN nfnewprec(GEN nf, long prec)
GEN rootsof1(GEN x)
GEN tschirnhaus(GEN x)
# base2.c
GEN base(GEN x, GEN *y)
GEN base2(GEN x, GEN *y)
void checkmodpr(GEN modpr)
GEN compositum(GEN pol1, GEN pol2)
GEN compositum2(GEN pol1, GEN pol2)
GEN discf(GEN x)
long idealval(GEN nf,GEN ix,GEN vp)
GEN idealprodprime(GEN nf, GEN L)
GEN indexpartial(GEN P, GEN DP)
GEN nfbasis(GEN x, GEN *y,long flag,GEN p)
GEN nfbasis0(GEN x,long flag,GEN p)
GEN nfdisc0(GEN x,long flag, GEN p)
GEN nfreducemodpr(GEN nf, GEN x, GEN modpr)
GEN polcompositum0(GEN pol1, GEN pol2,long flag)
GEN idealprimedec(GEN nf,GEN p)
GEN rnfbasis(GEN bnf, GEN order)
GEN rnfdet(GEN nf, GEN order)
GEN rnfdiscf(GEN nf, GEN pol)
GEN rnfequation(GEN nf, GEN pol2)
GEN rnfequation0(GEN nf, GEN pol2, long flall)
GEN rnfequation2(GEN nf, GEN pol)
GEN rnfhnfbasis(GEN bnf, GEN order)
long rnfisfree(GEN bnf, GEN order)
GEN rnflllgram(GEN nf, GEN pol, GEN order,long prec)
GEN rnfpolred(GEN nf, GEN pol, long prec)
GEN rnfpolredabs(GEN nf, GEN pol, long flag)
GEN rnfpseudobasis(GEN nf, GEN pol)
GEN rnfsimplifybasis(GEN bnf, GEN order)
# base3.c
GEN algtobasis(GEN nf, GEN x)
GEN basistoalg(GEN nf, GEN x)
long nfval(GEN nf, GEN x, GEN vp)
GEN ideallist(GEN nf,long bound)
GEN ideallist0(GEN nf,long bound, long flag)
GEN ideallistarch(GEN nf, GEN list, GEN arch)
GEN idealstar0(GEN nf, GEN x,long flag)
GEN nfdiveuc(GEN nf, GEN a, GEN b)
GEN nfdivrem(GEN nf, GEN a, GEN b)
GEN nfmod(GEN nf, GEN a, GEN b)
GEN reducemodinvertible(GEN x, GEN y)
GEN vecmodii(GEN a, GEN b)
GEN ideallog(GEN nf,GEN x,GEN bigideal)
GEN zidealstar(GEN nf, GEN x)
GEN znlog(GEN x, GEN g)
# base4.c
GEN nfreduce(GEN nf, GEN x, GEN ideal)
GEN idealtwoelt(GEN nf, GEN ix)
GEN idealtwoelt0(GEN nf, GEN ix, GEN a)
GEN idealtwoelt2(GEN nf, GEN x, GEN a)
GEN idealadd(GEN nf, GEN x, GEN y)
GEN idealaddmultoone(GEN nf, GEN list)
GEN idealaddtoone(GEN nf, GEN x, GEN y)
GEN idealaddtoone0(GEN nf, GEN x, GEN y)
GEN idealappr(GEN nf, GEN x)
GEN idealappr0(GEN nf, GEN x, long fl)
GEN idealapprfact(GEN nf, GEN x)
GEN idealchinese(GEN nf, GEN x, GEN y)
GEN idealcoprime(GEN nf, GEN x, GEN y)
GEN idealdiv(GEN nf, GEN x, GEN y)
GEN idealdiv0(GEN nf, GEN x, GEN y,long flag)
GEN idealdivexact(GEN nf, GEN x, GEN y)
GEN idealdivpowprime(GEN nf, GEN x, GEN vp, GEN n)
GEN idealmulpowprime(GEN nf, GEN x, GEN vp, GEN n)
GEN idealfactor(GEN nf, GEN x)
GEN idealhnf(GEN nf, GEN x)
GEN idealhnf0(GEN nf, GEN a, GEN b)
GEN idealintersect(GEN nf, GEN x, GEN y)
GEN idealinv(GEN nf, GEN ix)
GEN idealred0(GEN nf, GEN ix, GEN vdir)
GEN idealmul(GEN nf, GEN ix, GEN iy)
GEN idealmul0(GEN nf, GEN ix, GEN iy, long flag, long prec)
GEN idealmulred(GEN nf, GEN ix, GEN iy)
GEN idealnorm(GEN nf, GEN x)
GEN idealpow(GEN nf, GEN ix, GEN n)
GEN idealpow0(GEN nf, GEN ix, GEN n, long flag, long prec)
GEN idealpowred(GEN nf, GEN ix, GEN n,long prec)
GEN idealpows(GEN nf, GEN ideal, long iexp)
long idealtyp(GEN *ideal, GEN *arch)
long isideal(GEN nf,GEN x)
GEN minideal(GEN nf,GEN ix,GEN vdir,long prec)
GEN mul_content(GEN cx, GEN cy)
GEN nfdetint(GEN nf,GEN pseudo)
GEN nfkermodpr(GEN nf, GEN x, GEN modpr)
GEN nfsnf(GEN nf, GEN x)
GEN nfsolvemodpr(GEN nf, GEN a, GEN b, GEN modpr)
GEN vecdiv(GEN x, GEN y)
GEN vecinv(GEN x)
GEN vecmul(GEN x, GEN y)
GEN vecpow(GEN x, GEN n)
# base5.c
GEN matalgtobasis(GEN nf, GEN x)
GEN matbasistoalg(GEN nf, GEN x)
GEN rnfalgtobasis(GEN rnf, GEN x)
GEN rnfbasistoalg(GEN rnf, GEN x)
GEN rnfelementabstorel(GEN rnf, GEN x)
GEN rnfelementdown(GEN rnf, GEN x)
GEN rnfelementreltoabs(GEN rnf, GEN x)
GEN rnfelementup(GEN rnf, GEN x)
GEN rnfidealabstorel(GEN rnf, GEN x)
GEN rnfidealdown(GEN rnf, GEN x)
GEN rnfidealhermite(GEN rnf, GEN x)
GEN rnfidealmul(GEN rnf,GEN x,GEN y)
GEN rnfidealnormabs(GEN rnf, GEN x)
GEN rnfidealnormrel(GEN rnf, GEN x)
GEN rnfidealreltoabs(GEN rnf, GEN x)
GEN rnfidealtwoelement(GEN rnf,GEN x)
GEN rnfidealup(GEN rnf, GEN x)
GEN rnfinit(GEN nf, GEN pol)
# bibli1.c
GEN ZM_zc_mul(GEN x, GEN y)
GEN ZM_zm_mul(GEN x, GEN y)
GEN T2_from_embed(GEN x, long r1)
GEN algdep(GEN x, long n)
GEN algdep0(GEN x, long n, long bit)
GEN factoredpolred(GEN x, GEN p)
GEN factoredpolred2(GEN x, GEN p)
GEN kerint(GEN x)
GEN lindep(GEN x)
GEN lindep0(GEN x, long flag)
GEN lindep2(GEN x, long bit)
GEN lll(GEN x, long prec)
GEN lllgen(GEN x)
GEN lllgram(GEN x, long prec)
GEN lllgramgen(GEN x)
GEN lllgramint(GEN x)
GEN lllgramkerim(GEN x)
GEN lllgramkerimgen(GEN x)
GEN lllint(GEN x)
GEN lllintpartial(GEN mat)
GEN lllkerim(GEN x)
GEN lllkerimgen(GEN x)
GEN matkerint0(GEN x,long flag)
GEN minim(GEN a, GEN borne, GEN stockmax)
GEN qfrep0(GEN a, GEN borne, long flag)
GEN qfminim0(GEN a, GEN borne, GEN stockmax,long flag, long prec)
GEN minim2(GEN a, GEN borne, GEN stockmax)
GEN ordred(GEN x)
GEN perf(GEN a)
GEN polred(GEN x)
GEN polred0(GEN x, long flag, GEN p)
GEN polred2(GEN x)
GEN polredabs(GEN x)
GEN polredabs0(GEN x, long flag)
GEN polredabs2(GEN x)
GEN polredabsall(GEN x, long flun)
GEN qflll0(GEN x, long flag)
GEN qflllgram0(GEN x, long flag)
GEN smallpolred(GEN x)
GEN smallpolred2(GEN x)
char *stackmalloc(size_t N)
GEN zncoppersmith(GEN P0, GEN N, GEN X, GEN B)
# bibli2.c
GEN binomial(GEN x, long k)
int cmp_prime_ideal(GEN x, GEN y)
int cmp_prime_over_p(GEN x, GEN y)
GEN convol(GEN x, GEN y)
GEN polcyclo(long n, long v)
GEN dirdiv(GEN x, GEN y)
GEN dirmul(GEN x, GEN y)
GEN dirzetak(GEN nf, GEN b)
long gen_search(GEN x, GEN y, int flag, int (*cmp)(GEN,GEN))
GEN gen_setminus(GEN set1, GEN set2, int (*cmp)(GEN,GEN))
GEN gen_sort(GEN x, int flag, int (*cmp)(GEN,GEN))
GEN genrand(GEN N)
GEN getheap()
GEN getrand()
long getstack()
long gettime()
GEN gprec(GEN x, long l)
GEN gprec_w(GEN x, long pr)
GEN ggrando(GEN x, long n)
GEN gtoset(GEN x)
GEN indexlexsort(GEN x)
GEN indexsort(GEN x)
GEN laplace(GEN x)
GEN pollegendre(long n, long v)
GEN lexsort(GEN x)
GEN mathilbert(long n)
GEN matqpascal(long n, GEN q)
GEN numtoperm(long n, GEN x)
GEN permtonum(GEN x)
GEN polint(GEN xa, GEN ya, GEN x, GEN *dy)
GEN polrecip(GEN x)
GEN modreverse(GEN x)
GEN roots_to_pol(GEN a, long v)
GEN setintersect(GEN x, GEN y)
long setisset(GEN x)
GEN setminus(GEN x, GEN y)
void setrand(GEN seed)
long setsearch(GEN x, GEN y, long flag)
GEN setunion(GEN x, GEN y)
GEN indexlexsort(GEN x)
GEN indexsort(GEN x)
GEN sort(GEN x)
long tablesearch(GEN T, GEN x, int (*cmp)(GEN,GEN))
GEN tayl(GEN x, long v, long precdl)
GEN polchebyshev1(long n, long v)
GEN vecsort(GEN x, GEN k)
GEN vecsort0(GEN x, GEN k, long flag)
# buch1.c
GEN buchimag(GEN D, GEN gcbach, GEN gcbach2, GEN gCO)
GEN buchreal(GEN D, GEN gsens, GEN gcbach, GEN gcbach2, GEN gRELSUP, long prec)
GEN cgetalloc(long t, size_t l)
GEN quadclassunit0(GEN x, long flag,GEN data, long prec)
GEN quadhilbert(GEN D, long prec)
GEN quadray(GEN bnf, GEN f, GEN flag, long prec)
# buch2.c
GEN bnfinit0(GEN P,long flag,GEN data,long prec)
GEN check_and_build_obj(GEN S, int tag, GEN (*build)(GEN))
GEN isprincipal(GEN bignf, GEN x)
GEN bnfisprincipal0(GEN bignf, GEN x,long flall)
GEN isprincipalfact(GEN bnf,GEN P, GEN e, GEN C, long flag)
GEN isprincipalforce(GEN bignf,GEN x)
GEN isprincipalgen(GEN bignf, GEN x)
GEN isprincipalgenforce(GEN bignf,GEN x)
GEN bnfisunit(GEN bignf, GEN x)
GEN regulator(GEN P,GEN data,long prec)
GEN signunits(GEN bignf)
# buch3.c
GEN bnrconductor(GEN arg0,GEN arg1,GEN arg2,GEN flag)
GEN bnrconductorofchar(GEN bnr,GEN chi)
GEN bnrdisc0(GEN arg0, GEN arg1, GEN arg2, long flag)
GEN bnrdisclist0(GEN bnf,GEN borne, GEN arch, long all)
long bnrisconductor(GEN arg0,GEN arg1,GEN arg2)
GEN buchnarrow(GEN bignf)
long bnfcertify(GEN bnf)
GEN conductor(GEN bnr,GEN subgroup,long all)
GEN decodemodule(GEN nf, GEN fa)
GEN discrayabs(GEN bnr,GEN subgroup)
GEN discrayabscond(GEN bnr,GEN subgroup)
GEN discrayabslist(GEN bnf,GEN listes)
GEN discrayabslistarch(GEN bnf, GEN arch, long bound)
GEN discrayabslistlong(GEN bnf, long bound)
GEN discrayrel(GEN bnr,GEN subgroup)
GEN discrayrelcond(GEN bnr,GEN subgroup)
GEN isprincipalray(GEN bignf, GEN x)
GEN bnrisprincipal(GEN bignf, GEN x,long flall)
GEN isprincipalraygen(GEN bignf, GEN x)
GEN bnrclassno(GEN bignf,GEN ideal)
GEN bnrclassnolist(GEN bnf,GEN listes)
GEN rnfconductor(GEN bnf, GEN polrel, long flag)
GEN rnfnormgroup(GEN bnr, GEN polrel)
GEN subgrouplist0(GEN bnr, GEN indexbound, long all)
# buch4.c
GEN bnfisnorm(GEN bnf, GEN x, long flag)
GEN rnfisnorm(GEN S, GEN x, long flag)
GEN rnfisnorminit(GEN T, GEN relpol, int galois)
GEN bnfissunit(GEN bnf,GEN suni,GEN x)
GEN bnfsunit(GEN bnf,GEN s,long PREC)
long nfhilbert(GEN bnf,GEN a,GEN b)
long nfhilbert0(GEN bnf,GEN a,GEN b,GEN p)
# default.c
extern int d_SILENT, d_ACKNOWLEDGE, d_INITRC, d_RETURN
GEN default0(char *a, char *b)
long getrealprecision()
GEN sd_TeXstyle(char *v, long flag)
GEN sd_breakloop(char *v, long flag)
GEN sd_colors(char *v, long flag)
GEN sd_compatible(char *v, long flag)
GEN sd_datadir(char *v, long flag)
GEN sd_debug(char *v, long flag)
GEN sd_debugfiles(char *v, long flag)
GEN sd_debugmem(char *v, long flag)
GEN sd_echo(char *v, long flag)
GEN sd_factor_add_primes(char *v, long flag)
GEN sd_factor_proven(char *v, long flag)
GEN sd_format(char *v, long flag)
GEN sd_graphcolormap(char *v, long flag)
GEN sd_graphcolors(char *v, long flag)
GEN sd_help(char *v, long flag)
GEN sd_histsize(char *v, long flag)
GEN sd_lines(char *v, long flag)
GEN sd_log(char *v, long flag)
GEN sd_logfile(char *v, long flag)
GEN sd_new_galois_format(char *v, long flag)
GEN sd_output(char *v, long flag)
GEN sd_parisize(char *v, long flag)
GEN sd_path(char *v, long flag)
GEN sd_prettyprinter(char *v, long flag)
GEN sd_primelimit(char *v, long flag)
GEN sd_prompt(char *v, long flag)
GEN sd_prompt_cont(char *v, long flag)
GEN sd_psfile(char *v, long flag)
GEN sd_realprecision(char *v, long flag)
GEN sd_recover(char *v, long flag)
GEN sd_rl(char *v, long flag)
GEN sd_secure(char *v, long flag)
GEN sd_seriesprecision(char *v, long flag)
GEN sd_simplify(char *v, long flag)
GEN sd_strictmatch(char *v, long flag)
GEN sd_timer(char *v, long flag)
long setrealprecision(long n, long *prec)
# ellanal.c
GEN ellanalyticrank(GEN e, GEN eps, long prec)
GEN ellL1(GEN e, long r, long prec)
# elliptic.c
GEN addell(GEN e, GEN z1, GEN z2)
GEN akell(GEN e, GEN n)
GEN anell(GEN e, long n)
GEN ellap(GEN e, GEN p)
GEN bilhell(GEN e, GEN z1, GEN z2, long prec)
GEN ellchangecurve(GEN e, GEN ch)
GEN ellap0(GEN e, GEN p, long flag)
GEN elleisnum(GEN om, long k, long flag, long prec)
GEN elleta(GEN om, long prec)
GEN ellheight0(GEN e, GEN a, long flag,long prec)
GEN ellinit0(GEN x,long flag,long prec)
GEN ellminimalmodel(GEN E, GEN *ptv)
long ellrootno(GEN e, GEN p)
GEN ellsigma(GEN om, GEN z, long flag, long prec)
GEN elltors0(GEN e, long flag)
GEN ellwp0(GEN e, GEN z, long flag, long precdl, long prec)
GEN ellzeta(GEN om, GEN z, long prec)
GEN ghell(GEN e, GEN a, long prec)
GEN ellglobalred(GEN e1)
GEN elllocalred(GEN e, GEN p1)
GEN elllseries(GEN e, GEN s, GEN A, long prec)
GEN mathell(GEN e, GEN x, long prec)
int oncurve(GEN e, GEN z)
GEN ellordinate(GEN e, GEN x, long prec)
GEN orderell(GEN e, GEN p)
GEN ellchangepoint(GEN x, GEN ch)
GEN pointell(GEN e, GEN z, long prec)
GEN powell(GEN e, GEN z, GEN n)
GEN subell(GEN e, GEN z1, GEN z2)
GEN taniyama(GEN e)
GEN weipell(GEN e, long precdl)
GEN zell(GEN e, GEN z, long prec)
# es.c
GEN GENtoGENstr(GEN x)
char* GENtoTeXstr(GEN x)
char* GENtostr(GEN x)
GEN Str(GEN g)
GEN Strchr(GEN g)
GEN Strexpand(GEN g)
GEN Strtex(GEN g)
void brute(GEN g, char format, long dec)
void dbgGEN(GEN x, long nb)
int file_is_binary(FILE *f)
void gpwritebin(char *filename, GEN x)
GEN gp_read_file(char *filename)
GEN gp_read_str(char *s)
void killallfiles(int check)
GEN gp_read_stream(FILE *f)
void matbrute(GEN g, char format, long dec)
char* os_getenv(char *s)
void (*os_signal(int sig, void (*f)(int)))(int)
void outmat(GEN x)
void output(GEN x)
char* pari_strdup(char *s)
char* pari_strndup(char *s, long n)
char* pari_unique_filename(char *s)
void pari_unlink(char *s)
void pari_flush()
void pari_putc(char c)
void pari_puts(char *s)
#void print(GEN g) # syntax error
void print1(GEN g)
void printtex(GEN g)
GEN readbin(char *name, FILE *f)
void switchin(char *name)
void switchout(char *name)
void texe(GEN g, char format, long dec)
char* type_name(long t)
void write0(char *s, GEN g)
void write1(char *s, GEN g)
void writetex(char *s, GEN g)
# galconj.c
GEN checkgal(GEN gal)
GEN galoisconj0(GEN nf, long flag, GEN d, long prec)
GEN galoisexport(GEN gal, long format)
GEN galoisfixedfield(GEN gal, GEN v, long flag, long y)
GEN galoisidentify(GEN gal)
GEN galoisinit(GEN nf, GEN den)
GEN galoisisabelian(GEN gal, long flag)
long galoisisnormal(GEN gal, GEN sub)
GEN galoispermtopol(GEN gal, GEN perm)
GEN galoissubgroups(GEN G)
GEN galoissubfields(GEN G, long flag, long v)
long numberofconjugates(GEN T, long pdepart)
GEN vandermondeinverse(GEN L, GEN T, GEN den, GEN prep)
# gen1.c
GEN gadd(GEN x, GEN y)
GEN gaddsg(long x, GEN y)
GEN gdiv(GEN x, GEN y)
GEN gmul(GEN x, GEN y)
GEN gsqr(GEN x)
GEN gsub(GEN x, GEN y)
# gen2.c
GEN ZX_mul(GEN x, GEN y)
GEN cgetp(GEN x)
GEN cvtop(GEN x, GEN p, long l)
GEN cvtop2(GEN x, GEN y)
GEN gabs(GEN x, long prec)
void gaffect(GEN x, GEN y)
void gaffsg(long s, GEN x)
GEN gclone(GEN x)
int gcmp(GEN x, GEN y)
int gcmpsg(long x, GEN y)
int gequal0(GEN x)
int gequal1(GEN x)
int gequalm1(GEN x)
GEN gcvtop(GEN x, GEN p, long r)
int gequal(GEN x, GEN y)
int gequalsg(long s, GEN x)
long gexpo(GEN x)
long ggval(GEN x, GEN p)
long glength(GEN x)
GEN gmax(GEN x, GEN y)
GEN gmin(GEN x, GEN y)
GEN gneg(GEN x)
GEN gneg_i(GEN x)
GEN greffe(GEN x, long l, long use_stack)
int gsigne(GEN x)
GEN gtofp(GEN z, long prec)
GEN gtolist(GEN x)
long gtolong(GEN x)
int lexcmp(GEN x, GEN y)
GEN listcreate()
GEN listinsert(GEN list, GEN object, long index)
void listkill(GEN list)
GEN listput(GEN list, GEN object, long index)
GEN listsort(GEN list, long flag)
GEN matsize(GEN x)
GEN normalize(GEN x)
GEN normalizepol(GEN x)
long sizedigit(GEN x)
long u_lval(ulong x, ulong p)
long u_lvalrem(ulong x, ulong p, ulong *py)
long u_pvalrem(ulong x, GEN p, ulong *py)
GEN vecmax(GEN x)
GEN vecmin(GEN x)
long Z_lval(GEN n, ulong p)
long Z_lvalrem(GEN n, ulong p, GEN *py)
long z_pval(long n, GEN p)
long Z_pval(GEN n, GEN p)
long Z_pvalrem(GEN x, GEN p, GEN *py)
# gen3.c
GEN ceil_safe(GEN x)
GEN ceilr(GEN x)
GEN centerlift(GEN x)
GEN centerlift0(GEN x,long v)
GEN compo(GEN x, long n)
GEN deg1pol(GEN x1, GEN x0,long v)
long degree(GEN x)
GEN denom(GEN x)
GEN deriv(GEN x, long v)
GEN RgX_deriv(GEN x)
GEN derivser(GEN x)
GEN diviiround(GEN x, GEN y)
GEN divrem(GEN x, GEN y, long v)
GEN gand(GEN x, GEN y)
GEN gceil(GEN x)
GEN gcvtoi(GEN x, long *e)
GEN gdivent(GEN x, GEN y)
GEN gdiventres(GEN x, GEN y)
GEN gdivgs(GEN x, long s)
GEN gdivmod(GEN x, GEN y, GEN *pr)
GEN gdivround(GEN x, GEN y)
GEN geq(GEN x, GEN y)
GEN geval(GEN x)
GEN gfloor(GEN x)
GEN gfrac(GEN x)
GEN gge(GEN x, GEN y)
GEN ggrando(GEN x, long n)
GEN ggt(GEN x, GEN y)
GEN gimag(GEN x)
GEN ginv(GEN x)
GEN gle(GEN x, GEN y)
GEN glt(GEN x, GEN y)
GEN gmod(GEN x, GEN y)
GEN gmodulo(GEN x,GEN y)
GEN gmodgs(GEN x, long y)
GEN gmodulo(GEN x,GEN y)
GEN gmodulsg(long x, GEN y)
GEN gmodulss(long x, long y)
GEN gmul2n(GEN x, long n)
GEN gmulsg(long s, GEN y)
GEN gne(GEN x, GEN y)
GEN gnot(GEN x)
GEN gor(GEN x, GEN y)
GEN gpolvar(GEN y)
long gprecision(GEN x)
GEN gram_matrix(GEN M)
GEN greal(GEN x)
GEN grndtoi(GEN x, long *e)
GEN ground(GEN x)
GEN gshift(GEN x, long n)
GEN gsubst(GEN x, long v, GEN y)
GEN gsubstpol(GEN x, GEN v, GEN y)
GEN gsubstvec(GEN x, GEN v, GEN y)
GEN gtocol(GEN x)
GEN gtocol0(GEN x, long n)
GEN gtopoly(GEN x, long v)
GEN gtopolyrev(GEN x, long v)
GEN gtoser(GEN x, long v, long precdl)
GEN gtovec(GEN x)
GEN gtovec0(GEN x, long n)
GEN gtovecrev(GEN x)
GEN gtovecrev0(GEN x, long n)
GEN gtovecsmall(GEN x)
GEN gtovecsmall0(GEN x, long n)
GEN gtrunc(GEN x)
int gvar(GEN x)
int gvar2(GEN x)
GEN hqfeval(GEN q, GEN x)
GEN imag_i(GEN x)
GEN int2n(long n)
GEN integ(GEN x, long v)
int iscomplex(GEN x)
int isexactzero(GEN g)
int isinexact(GEN x)
int isinexactreal(GEN x)
long isint(GEN n, long *ptk)
int issmall(GEN n, long *ptk)
GEN lift(GEN x)
GEN lift0(GEN x,long v)
GEN lift_intern0(GEN x,long v)
GEN truncr(GEN x)
GEN mkcoln(long n, ...)
GEN mkintn(long n, ...)
GEN mkpoln(long n, ...)
GEN mkvecn(long n, ...)
GEN numer(GEN x)
GEN padicappr(GEN f, GEN a)
long padicprec(GEN x, GEN p)
GEN polcoeff0(GEN x,long n,long v)
GEN polcoeff_i(GEN x, long n, long v)
long poldegree(GEN x,long v)
GEN poleval(GEN x, GEN y)
GEN pollead(GEN x,long v)
long precision(GEN x)
GEN precision0(GEN x,long n)
GEN qfeval(GEN q, GEN x)
GEN real_i(GEN x)
GEN real2n(long n, long prec)
GEN recip(GEN x)
GEN round0(GEN x, GEN *pte)
GEN roundr(GEN x)
GEN scalarpol(GEN x, long v)
GEN scalarser(GEN x, long v, long prec)
GEN simplify(GEN x)
GEN tayl(GEN x, long v, long precdl)
GEN toser_i(GEN x)
GEN trunc0(GEN x, GEN *pte)
# groupid.c
long group_ident(GEN G, GEN S)
# hash.c
ulong hash_GEN(GEN x)
# ifactor1.c
int is_357_power(GEN x, GEN *pt, ulong *mask)
int is_pth_power(GEN x, GEN *pt, ulong *curexp, ulong cutoffbits)
GEN nextprime(GEN n)
GEN precprime(GEN n)
# init.c
long allocatemoremem(size_t newsize)
GEN changevar(GEN x, GEN y)
void pari_err(long numerr, ...)
long err_catch(long errnum, jmp_buf *penv)
GEN gcopy(GEN x)
void gunclone(GEN x)
void msgtimer(char *format, ...)
GEN newblock(long n)
void pari_close()
void pari_init(size_t parisize, ulong maxprime)
void pari_init_opts(size_t parisize, ulong maxprime, ulong init_opts)
void stackdummy(GEN x, long l)
long gsizebyte(GEN x)
long gsizeword(GEN x)
long timer()
long timer2()
# intnum.c
GEN intcirc(void *E, GEN (*eval) (GEN, void *), GEN a, GEN R, GEN tab, long prec)
GEN intfouriercos(void *E, GEN (*eval) (GEN, void *), GEN a, GEN b, GEN x, GEN tab, long prec)
GEN intfourierexp(void *E, GEN (*eval)(GEN, void*), GEN a, GEN b, GEN x, GEN tab, long prec)
GEN intfouriersin(void *E, GEN (*eval) (GEN, void *), GEN a, GEN b, GEN x, GEN tab, long prec)
GEN intfuncinit(void *E, GEN (*eval) (GEN, void *), GEN a, GEN b, long m, long flag, long prec)
GEN intlaplaceinv(void *E, GEN (*eval) (GEN, void *), GEN sig, GEN x, GEN tab, long prec)
GEN intmellininv(void *E, GEN (*eval) (GEN, void *), GEN sig, GEN x, GEN tab, long prec)
GEN intmellininvshort(GEN sig, GEN x, GEN tab, long prec)
GEN intnum(void *E, GEN (*eval) (GEN, void *), GEN a, GEN b, GEN tab, long prec)
GEN intnuminit(GEN a, GEN b, long m, long prec)
GEN intnuminitgen(void *E, GEN (*eval) (GEN, void *), GEN a, GEN b, long m, long flext, long prec)
GEN intnumromb(void *E, GEN (*eval) (GEN, void *), GEN a, GEN b, long flag, long prec)
long intnumstep(long prec)
GEN sumnum(void *E, GEN (*f) (GEN, void *), GEN a, GEN sig, GEN tab, long flag, long prec)
GEN sumnumalt(void *E, GEN (*f) (GEN, void *), GEN a, GEN s, GEN tab, long flag, long prec)
GEN sumnuminit(GEN sig, long m, long sgn, long prec)
# kummer.c
GEN rnfkummer(GEN bnr, GEN subgroup, long all, long prec)
# members.c
GEN member_a1(GEN x)
GEN member_a2(GEN x)
GEN member_a3(GEN x)
GEN member_a4(GEN x)
GEN member_a6(GEN x)
GEN member_area(GEN x)
GEN member_b2(GEN x)
GEN member_b4(GEN x)
GEN member_b6(GEN x)
GEN member_b8(GEN x)
GEN member_bnf(GEN x)
GEN member_c4(GEN x)
GEN member_c6(GEN x)
GEN member_clgp(GEN x)
GEN member_codiff(GEN x)
GEN member_cyc(GEN clg)
GEN member_diff(GEN x)
GEN member_disc(GEN x)
GEN member_e(GEN x)
GEN member_eta(GEN x)
GEN member_f(GEN x)
GEN member_fu(GEN x)
GEN member_futu(GEN x)
GEN member_gen(GEN x)
GEN member_group(GEN x)
GEN member_index(GEN x)
GEN member_j(GEN x)
GEN member_mod(GEN x)
GEN member_nf(GEN x)
GEN member_no(GEN clg)
GEN member_omega(GEN x)
GEN member_orders(GEN x)
GEN member_p(GEN x)
GEN member_pol(GEN x)
GEN member_reg(GEN x)
GEN member_roots(GEN x)
GEN member_sign(GEN x)
GEN member_t2(GEN x)
GEN member_tate(GEN x)
GEN member_tufu(GEN x)
GEN member_tu(GEN x)
GEN member_w(GEN x)
GEN member_zk(GEN x)
GEN member_zkst(GEN bid)
# mp.c
int absi_cmp(GEN x, GEN y)
int absi_equal(GEN x, GEN y)
int absr_cmp(GEN x, GEN y)
GEN addii_sign(GEN x, long sx, GEN y, long sy)
GEN addir_sign(GEN x, long sx, GEN y, long sy)
GEN addrr_sign(GEN x, long sx, GEN y, long sy)
GEN addsi_sign(long x, GEN y, long sy)
GEN addsr(long x, GEN y)
GEN addss(long x, long y)
void affir(GEN x, GEN y)
void affrr(GEN x, GEN y)
GEN bezout(GEN a, GEN b, GEN *u, GEN *v)
long cbezout(long a,long b,long *uu,long *vv)
int cmpii(GEN x, GEN y)
int cmprr(GEN x, GEN y)
int cmpsi(long x, GEN y)
int cmpui(ulong x, GEN y)
GEN dbltor(double x)
GEN diviiexact(GEN x, GEN y)
GEN diviuexact(GEN x, ulong y)
GEN divir(GEN x, GEN y)
GEN divis(GEN y, long x)
GEN divis_rem(GEN x, long y, long *rem)
GEN diviu_rem(GEN y, ulong x, ulong *rem)
GEN divri(GEN x, GEN y)
GEN divrr(GEN x, GEN y)
GEN divrs(GEN x, long y)
GEN divsi(long x, GEN y)
GEN divsr(long x, GEN y)
GEN dvmdii(GEN x, GEN y, GEN *z)
int equalii(GEN x, GEN y)
GEN floorr(GEN x)
GEN gcdii(GEN x, GEN y)
GEN int_normalize(GEN x, long known_zero_words)
int invmod(GEN a, GEN b, GEN *res)
ulong Fl_inv(ulong x, ulong p)
GEN modii(GEN x, GEN y)
void modiiz(GEN x, GEN y, GEN z)
GEN mulii(GEN x, GEN y)
GEN mulir(GEN x, GEN y)
GEN mulrr(GEN x, GEN y)
GEN mulsi(long x, GEN y)
GEN mulsr(long x, GEN y)
GEN mulss(long x, long y)
GEN mului(ulong x, GEN y)
GEN mulur(ulong x, GEN y)
GEN muluu(ulong x, ulong y)
GEN randomi(GEN x)
int ratlift(GEN x, GEN m, GEN *a, GEN *b, GEN amax, GEN bmax)
double rtodbl(GEN x)
GEN shifti(GEN x, long n)
GEN sqri(GEN x)
#define sqrti(x) sqrtremi((x),NULL)
GEN sqrtremi(GEN S, GEN *R)
GEN subsr(long x, GEN y)
GEN truedvmdii(GEN x, GEN y, GEN *z)
ulong umodiu(GEN y, ulong x)
long vals(ulong x)
# nffactor.c
GEN nffactor(GEN nf,GEN x)
GEN nffactormod(GEN nf,GEN pol,GEN pr)
GEN nfroots(GEN nf,GEN pol)
GEN rnfcharpoly(GEN nf,GEN T,GEN alpha,int n)
GEN rnfdedekind(GEN nf,GEN T,GEN pr)
# part.c
GEN numbpart(GEN x)
# perm.c
GEN abelian_group(GEN G)
GEN cyclicgroup(GEN g, long s)
GEN cyc_pow(GEN cyc, long exp)
GEN cyc_pow_perm(GEN cyc, long exp)
GEN dicyclicgroup(GEN g1, GEN g2, long s1, long s2)
GEN group_abelianHNF(GEN G, GEN L)
GEN group_abelianSNF(GEN G, GEN L)
long group_domain(GEN G)
GEN group_elts(GEN G, long n)
GEN group_export(GEN G, long format)
long group_isA4S4(GEN G)
long group_isabelian(GEN G)
GEN group_leftcoset(GEN G, GEN g)
long group_order(GEN G)
long group_perm_normalize(GEN N, GEN g)
GEN group_quotient(GEN G, GEN H)
GEN group_rightcoset(GEN G, GEN g)
GEN group_subgroups(GEN G)
GEN groupelts_center(GEN S)
GEN groupelts_abelian_group(GEN S)
int perm_commute(GEN p, GEN q)
GEN perm_cycles(GEN v)
long perm_order(GEN perm)
GEN perm_pow(GEN perm, long exp)
GEN quotient_group(GEN C, GEN G)
GEN quotient_perm(GEN C, GEN p)
GEN vecperm_orbits(GEN v, long n)
void vecsmall_sort(GEN V)
GEN vecsmall_uniq(GEN V)
GEN vecvecsmall_indexsort(GEN x)
GEN vecvecsmall_sort(GEN x)
long vecvecsmall_search(GEN x, GEN y, long flag)
# polarit1.c
long Flx_nbfact(GEN z, ulong p)
long Flx_nbroots(GEN f, ulong p)
GEN FpX_degfact(GEN f, GEN p)
long FpX_is_irred(GEN f, GEN p)
long FpX_is_squarefree(GEN f, GEN p)
long FpX_is_totally_split(GEN f, GEN p)
GEN FpX_factor(GEN f, GEN p)
long FpX_nbfact(GEN f, GEN p)
long FpX_nbroots(GEN f, GEN p)
GEN FpXQX_gcd(GEN P, GEN Q, GEN T, GEN p)
GEN FqX_factor(GEN x, GEN T, GEN p)
GEN FqX_gcd(GEN P, GEN Q, GEN T, GEN p)
long FqX_is_squarefree(GEN P, GEN T, GEN p)
long FqX_nbfact(GEN u, GEN T, GEN p)
long FqX_nbroots(GEN f, GEN T, GEN p)
GEN random_FpX(long d, long v, GEN p)
GEN FpX_roots(GEN f, GEN p)
GEN padicappr(GEN f, GEN a)
GEN factcantor(GEN x, GEN p)
GEN factmod(GEN f, GEN p)
GEN factorff(GEN f, GEN p, GEN a)
GEN factormod0(GEN f, GEN p, long flag)
GEN factorpadic0(GEN f,GEN p,long r,long flag)
GEN factorpadic(GEN x, GEN p, long r)
int gdvd(GEN x, GEN y)
GEN poldivrem(GEN x, GEN y, GEN *pr)
GEN rootmod(GEN f, GEN p)
GEN rootmod0(GEN f, GEN p,long flag)
GEN rootmod2(GEN f, GEN p)
GEN rootpadic(GEN f, GEN p, long r)
GEN rootpadicfast(GEN f, GEN p, long e)
GEN simplefactmod(GEN f, GEN p)
# polarit2.c
GEN Q_content(GEN x)
GEN Q_denom(GEN x)
GEN Q_div_to_int(GEN x, GEN c)
GEN Q_muli_to_int(GEN x, GEN d)
GEN Q_primitive_part(GEN x, GEN *ptc)
GEN Q_primpart(GEN x)
GEN Q_remove_denom(GEN x, GEN *ptd)
GEN RgX_extgcd(GEN x, GEN y, GEN *U, GEN *V)
GEN ZX_squff(GEN f, GEN *ex)
GEN centermod(GEN x, GEN p)
GEN centermod_i(GEN x, GEN p, GEN ps2)
GEN centermodii(GEN x, GEN p, GEN po2)
GEN content(GEN x)
GEN deg1_from_roots(GEN L, long v)
GEN discsr(GEN x)
GEN divide_conquer_prod(GEN x, GEN (*mul)(GEN,GEN))
GEN factor(GEN x)
GEN factor0(GEN x,long flag)
GEN factorback(GEN fa,GEN nf)
GEN gbezout(GEN x, GEN y, GEN *u, GEN *v)
GEN ggcd0(GEN x, GEN )
GEN gdeflate(GEN x, long v, long d)
GEN gdivexact(GEN x, GEN y)
GEN ggcd(GEN x, GEN y)
GEN ginvmod(GEN x, GEN y)
GEN gisirreducible(GEN x)
GEN glcm(GEN x, GEN y)
GEN glcm0(GEN x, GEN y)
GEN gen_pow(GEN,GEN,void*,GEN (*sqr)(void*,GEN),GEN (*mul)(void*,GEN,GEN))
GEN gen_pow_u(GEN x, ulong n, void *data, GEN (*sqr)(void*,GEN), GEN (*mul)(void*,GEN,GEN))
long logint(GEN B, GEN y, GEN *ptq)
GEN newtonpoly(GEN x, GEN p)
GEN nfgcd(GEN P, GEN Q, GEN nf, GEN den)
GEN nfisincl(GEN a, GEN b)
GEN nfisisom(GEN a, GEN b)
GEN nfrootsQ(GEN x)
GEN poldisc0(GEN x, long v)
GEN polfnf(GEN a, GEN t)
GEN polhensellift(GEN pol, GEN fct, GEN p, long exp)
GEN polresultant0(GEN x, GEN y,long v,long flag)
GEN polsym(GEN x, long n)
GEN primitive_part(GEN x, GEN *c)
GEN primpart(GEN x)
GEN quadgen(GEN x)
GEN quadpoly(GEN x)
GEN quadpoly0(GEN x, long v)
GEN reduceddiscsmith(GEN pol)
GEN resultant2(GEN x, GEN y)
GEN roots_from_deg1(GEN x)
GEN sort_factor(GEN y, int (*cmp)(GEN,GEN))
GEN sort_factor_gen(GEN y, int (*cmp)(GEN,GEN))
GEN sort_vecpol(GEN a, int (*cmp)(GEN,GEN))
GEN srgcd(GEN x, GEN y)
long sturmpart(GEN x, GEN a, GEN b)
GEN subresext(GEN x, GEN y, GEN *U, GEN *V)
GEN sylvestermatrix(GEN x,GEN y)
GEN vecbezout(GEN x, GEN y)
GEN vecbezoutres(GEN x, GEN y)
# polarit3.c
GEN Fp_pows(GEN A, long k, GEN N)
GEN Fp_powu(GEN x, ulong k, GEN p)
GEN FpM_red(GEN z, GEN p)
GEN FpM_to_mod(GEN z, GEN p)
GEN FpV_polint(GEN xa, GEN ya, GEN p)
GEN FpV_red(GEN z, GEN p)
GEN FpV_roots_to_pol(GEN V, GEN p, long v)
GEN FpV_to_mod(GEN z, GEN p)
GEN FpX_Fp_add(GEN y,GEN x,GEN p)
GEN FpX_Fp_mul(GEN y,GEN x,GEN p)
GEN FpX_add(GEN x,GEN y,GEN p)
GEN FpX_center(GEN T,GEN mod)
GEN FpX_chinese_coprime(GEN x,GEN y,GEN Tx,GEN Ty,GEN Tz,GEN p)
GEN FpX_divrem(GEN x, GEN y, GEN p, GEN *pr)
GEN FpX_eval(GEN x,GEN y,GEN p)
GEN FpX_extgcd(GEN x, GEN y, GEN p, GEN *ptu, GEN *ptv)
GEN FpX_factorff_irred(GEN P, GEN Q, GEN l)
void FpX_ffintersect(GEN P,GEN Q,long n,GEN l,GEN *SP,GEN *SQ,GEN MA,GEN MB)
GEN FpX_ffisom(GEN P,GEN Q,GEN l)
GEN FpX_gcd(GEN x, GEN y, GEN p)
GEN FpX_mul(GEN x,GEN y,GEN p)
GEN FpX_neg(GEN x,GEN p)
GEN FpX_normalize(GEN z, GEN p)
GEN FpX_red(GEN z, GEN p)
GEN FpX_sqr(GEN x,GEN p)
GEN FpX_sub(GEN x,GEN y,GEN p)
GEN FpX_to_mod(GEN z, GEN p)
GEN FpXQ_charpoly(GEN x, GEN T, GEN p)
GEN FpXQ_div(GEN x,GEN y,GEN T,GEN p)
GEN FpXQ_ffisom_inv(GEN S,GEN Tp, GEN p)
GEN FpXQ_inv(GEN x,GEN T,GEN p)
GEN FpXQ_invsafe(GEN x, GEN T, GEN p)
GEN FpXQ_matrix_pow(long n, long m, GEN y, GEN P, GEN l)
GEN FpXQ_minpoly(GEN x, GEN T, GEN p)
GEN FpXQ_mul(GEN y,GEN x,GEN T,GEN p)
GEN FpXQ_pow(GEN x, GEN n, GEN T, GEN p)
GEN FpXQ_powers(GEN x, long l, GEN T, GEN p)
GEN FpXQ_sqr(GEN y, GEN T, GEN p)
GEN FpXQ_sqrtn(GEN a, GEN n, GEN T, GEN p, GEN *zetan)
GEN FpXQX_mul(GEN x, GEN y, GEN T, GEN p)
GEN FpXQX_red(GEN z, GEN T, GEN p)
GEN FpXQX_sqr(GEN x, GEN T, GEN p)
GEN FpXQX_extgcd(GEN x, GEN y, GEN T, GEN p, GEN *ptu, GEN *ptv)
GEN FpXQX_divrem(GEN x, GEN y, GEN T, GEN p, GEN *pr)
GEN FpXQXV_prod(GEN V, GEN Tp, GEN p)
GEN FpXV_prod(GEN V, GEN p)
GEN FpXV_red(GEN z, GEN p)
GEN FpXX_red(GEN z, GEN p)
GEN FpX_rescale(GEN P, GEN h, GEN p)
GEN Fq_inv(GEN x, GEN T, GEN p)
GEN Fq_invsafe(GEN x, GEN T, GEN p)
GEN Fq_add(GEN x, GEN y, GEN T, GEN p)
GEN Fq_mul(GEN x, GEN y, GEN T, GEN p)
GEN Fq_neg(GEN x, GEN T, GEN p)
GEN Fq_neg_inv(GEN x, GEN T, GEN p)
GEN Fq_pow(GEN x, GEN n, GEN T, GEN p)
GEN Fq_red(GEN x, GEN T, GEN p)
GEN Fq_sub(GEN x, GEN y, GEN T, GEN p)
GEN FqM_to_FlxM(GEN x, GEN T, GEN pp)
GEN FqV_roots_to_pol(GEN V, GEN T, GEN p, long v)
GEN FqV_red(GEN z, GEN T, GEN p)
GEN FqX_Fq_mul(GEN P, GEN U, GEN T, GEN p)
GEN FqX_div(GEN x, GEN y, GEN T, GEN p)
GEN FqX_divrem(GEN x, GEN y, GEN T, GEN p, GEN *z)
GEN FqX_normalize(GEN z, GEN T, GEN p)
GEN FqX_red(GEN z, GEN T, GEN p)
GEN FqX_rem(GEN x, GEN y, GEN T, GEN p)
GEN FqX_mul(GEN x, GEN y, GEN T, GEN p)
GEN FqX_sqr(GEN x, GEN T, GEN p)
GEN QXQ_inv(GEN A, GEN B)
GEN ZX_disc(GEN x)
int ZX_is_squarefree(GEN x)
GEN ZX_resultant(GEN A, GEN B)
long brent_kung_optpow(long d, long n)
# RgX.c
int RgX_is_rational(GEN x)
GEN RgM_to_RgXV(GEN x, long v)
GEN RgM_to_RgXX(GEN x, long v,long w)
GEN RgM_zc_mul(GEN x, GEN y)
GEN RgM_zm_mul(GEN x, GEN y)
GEN RgV_to_RgX(GEN x, long v)
GEN RgV_zc_mul(GEN x, GEN y)
GEN RgV_zm_mul(GEN x, GEN y)
GEN RgX_divrem(GEN x,GEN y,GEN *r)
GEN RgX_mul(GEN x,GEN y)
GEN RgX_mulspec(GEN a, GEN b, long na, long nb)
GEN RgXQX_divrem(GEN x,GEN y,GEN T,GEN *r)
GEN RgXQX_mul(GEN x,GEN y,GEN T)
GEN RgXQX_red(GEN P, GEN T)
GEN RgXQX_RgXQ_mul(GEN x, GEN y, GEN T)
GEN RgX_Rg_mul(GEN y, GEN x)
GEN RgX_shift(GEN x, long n)
GEN RgX_sqr(GEN x)
GEN RgX_sqrspec(GEN a, long na)
GEN RgXV_to_RgM(GEN v, long n)
GEN RgX_to_RgV(GEN x, long N)
GEN RgXX_to_RgM(GEN v, long n)
GEN RgXY_swap(GEN x, long n, long w)
# rootpol.c
GEN cleanroots(GEN x,long l)
int isrealappr(GEN x, long l)
GEN roots(GEN x,long l)
GEN roots0(GEN x,long flag,long l)
# subcyclo.c
GEN galoissubcyclo(GEN N, GEN sg, long flag, long v)
GEN polsubcyclo(long n, long d, long v)
GEN znstar_small(GEN zn)
# subfield.c
GEN nfsubfields(GEN nf, long d)
# subgroup.c
GEN subgrouplist(GEN cyc, GEN bound)
void traversesubgroups(GEN cyc, GEN B, void fun(GEN,void*), void *E)
# stark.c
GEN bnrL1(GEN bnr, GEN sbgrp, long flag, long prec)
GEN bnrrootnumber(GEN bnr, GEN chi, long flag, long prec)
GEN bnrstark(GEN bnr, GEN subgroup, long prec)
# sumiter.c
GEN derivnum(void *E, GEN (*eval)(GEN,void*), GEN x, long prec)
GEN direuler(void *E, GEN (*eval)(GEN,void*), GEN ga, GEN gb, GEN c)
GEN forvec_start(GEN x, long flag, GEN *d, GEN (**next)(GEN,GEN))
GEN polzag(long n, long m)
GEN prodeuler(void *E, GEN (*eval)(GEN,void*), GEN ga, GEN gb, long prec)
GEN prodinf(void *E, GEN (*eval)(GEN,void*), GEN a, long prec)
GEN prodinf1(void *E, GEN (*eval)(GEN,void*), GEN a, long prec)
GEN sumalt(void *E, GEN (*eval)(GEN,void*), GEN a, long prec)
GEN sumalt2(void *E, GEN (*eval)(GEN,void*), GEN a, long prec)
GEN sumpos(void *E, GEN (*eval)(GEN,void*), GEN a, long prec)
GEN sumpos2(void *E, GEN (*eval)(GEN,void*), GEN a, long prec)
GEN suminf(void *E, GEN (*eval)(GEN,void*), GEN a, long prec)
GEN zbrent(void *E, GEN (*eval)(GEN,void*), GEN a, GEN b, long prec)
# thue.c
GEN bnfisintnorm(GEN x, GEN y)
GEN thue(GEN thueres, GEN rhs, GEN ne)
GEN thueinit(GEN pol, long flag, long prec)
# trans1.c
GEN Pi2n(long n, long prec)
GEN PiI2(long prec)
GEN PiI2n(long n, long prec)
void consteuler(long prec)
void constpi(long prec)
GEN exp_Ir(GEN x)
GEN gcos(GEN x, long prec)
GEN gcotan(GEN x, long prec)
GEN gexp(GEN x, long prec)
GEN glog(GEN x, long prec)
GEN gpow(GEN x, GEN n, long prec)
GEN gpowgs(GEN x, long n)
GEN gsin(GEN x, long prec)
void gsincos(GEN x, GEN *s, GEN *c, long prec)
GEN gsqrt(GEN x, long prec)
GEN gsqrtn(GEN x, GEN n, GEN *zetan, long prec)
GEN gtan(GEN x, long prec)
GEN mpcos(GEN x)
GEN mpeuler(long prec)
GEN mpexp(GEN x)
GEN mpexp1(GEN x)
GEN mplog(GEN x)
GEN mplog2(long prec)
GEN mppi(long prec)
GEN mpsin(GEN x)
void mpsincos(GEN x, GEN *s, GEN *c)
GEN powgi(GEN x, GEN n)
GEN teich(GEN x)
# trans2.c
GEN bernfrac(long n)
GEN bernreal(long n, long prec)
GEN bernvec(long nomb)
GEN gach(GEN x, long prec)
GEN gacos(GEN x, long prec)
GEN garg(GEN x, long prec)
GEN gash(GEN x, long prec)
GEN gasin(GEN x, long prec)
GEN gatan(GEN x, long prec)
GEN gath(GEN x, long prec)
GEN gch(GEN x, long prec)
GEN ggamd(GEN x, long prec)
GEN ggamma(GEN x, long prec)
GEN glngamma(GEN x, long prec)
GEN gpsi(GEN x, long prec)
GEN gsh(GEN x, long prec)
GEN gth(GEN x, long prec)
void mpbern(long nomb, long prec)
# trans3.c
GEN agm(GEN x, GEN y, long prec)
GEN dilog(GEN x, long prec)
GEN eint1(GEN x, long prec)
GEN eta(GEN x, long prec)
GEN eta0(GEN x, long flag,long prec)
GEN gerfc(GEN x, long prec)
GEN gpolylog(long m, GEN x, long prec)
GEN gzeta(GEN x, long prec)
GEN hyperu(GEN a, GEN b, GEN gx, long prec)
GEN incgam(GEN a, GEN x, long prec)
GEN incgam0(GEN a, GEN x, GEN z,long prec)
GEN incgamc(GEN a, GEN x, long prec)
GEN hbessel1(GEN n, GEN z, long prec)
GEN hbessel2(GEN n, GEN z, long prec)
GEN ibessel(GEN n, GEN z, long prec)
GEN jbessel(GEN n, GEN z, long prec)
GEN jbesselh(GEN n, GEN z, long prec)
GEN nbessel(GEN n, GEN z, long prec)
GEN jell(GEN x, long prec)
GEN kbessel(GEN nu, GEN gx, long prec)
GEN polylog(long m, GEN x, long prec)
GEN polylog0(long m, GEN x, long flag, long prec)
GEN szeta(long x, long prec)
GEN theta(GEN q, GEN z, long prec)
GEN thetanullk(GEN q, long k, long prec)
GEN trueeta(GEN x, long prec)
GEN veceint1(GEN C, GEN nmax, long prec)
GEN vecthetanullk(GEN q, long k, long prec)
GEN weber0(GEN x, long flag,long prec)
GEN weberf(GEN x, long prec)
GEN weberf2(GEN x, long prec)
# gmp/int.h
long* int_MSW(GEN x)
long* int_LSW(GEN x)
long* int_precW(long * xp)
long* int_nextW(long * xp)
# misc...
extern char* diffptr
cdef extern from 'stdsage.h':
GEN set_gel(GEN x, long n, GEN z) # gel(x,n) = z
GEN set_gmael(GEN x, long i, long j, GEN z) # gmael(x,i,j) = z
GEN set_gcoeff(GEN x, long i, long j, GEN z) # gcoeff(x,i,j) = z
# Inline functions in separate file
include 'declinl.pxi'
cdef extern from *: # paristio.h
struct PariOUT:
void (*putch)(char)
void (*puts)(char*)
void (*flush)()
extern PariOUT* pariOut
cdef extern from 'pari/paripriv.h':
struct pariout_t:
char format # e,f,g
long fieldw # 0 (ignored) or field width
long sigd # -1 (all) or number of significant digits printed */
int sp # 0 = suppress whitespace from output */
int prettyp # output style: raw, prettyprint, etc */
int TeXstyle
struct gp_data:
jmp_buf env
pariout_t *fmt
extern gp_data* GP_DATA
