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Version tested: 2.18.0 (development 29732-95c6201d93)
This page is regenerated every night by a crontab, it
lists the libpari public functions declared in
paridecl.h for which adequate documentation is currently
missing. An immediate goal is to make that list empty and keep it that way.
paridecl.h: 3 functions
GEN pardirpowerssum(ulong N, GEN s, long prec) GEN pardirpowerssum0(GEN N, GEN s, GEN f, long both, long prec) GEN pardirpowerssumfun(GEN f, ulong N, GEN s, long both, long prec)
The private file paripriv.h is now covered as well:
the interfaces and names are currently unsatisfactory, and the code must be
reviewed and improved before being formally exported. This is a long term
goal.
paripriv.h: 237 functions
long BPSW_psp_nosmalldiv(GEN N) GEN F2m_gauss_pivot(GEN x, long *rr) GEN F2m_gauss_sp(GEN a, GEN b) GEN F2m_invimage_i(GEN A, GEN B) void FleV_add_pre_inplace(GEN P, GEN Q, GEN a4, ulong p, ulong pi) void FleV_dbl_pre_inplace(GEN P, GEN a4, ulong p, ulong pi) void FleV_mulu_pre_inplace(GEN P, ulong n, GEN a4, ulong p, ulong pi) void FleV_sub_pre_inplace(GEN P, GEN Q, GEN a4, ulong p, ulong pi) ulong Flj_order_ufact(GEN P, ulong n, GEN F, ulong a4, ulong p, ulong pi) GEN Flm_Fl_polmodular_evalx(GEN phi, long L, ulong j, ulong p, ulong pi) GEN Flm_Frobenius_pow(GEN M, long d, GEN T, ulong p) GEN Flm_gauss_sp(GEN a, GEN b, ulong *detp, ulong p) GEN Flm_inv_sp(GEN a, ulong *detp, ulong p) GEN Flm_invimage_i(GEN A, GEN B, ulong p) GEN Flm_pivots(GEN x, ulong p, long *rr, long inplace) GEN FlxqM_mul_Kronecker(GEN A, GEN B, GEN T, ulong p) GEN Flxq_log_index(GEN a0, GEN b0, GEN m, GEN T0, ulong p) int Flxq_log_use_index(GEN m, GEN T0, ulong p) GEN FpM_Frobenius_pow(GEN M, long d, GEN T, GEN p) GEN FpMs_leftkernel_elt_col(GEN M, long nbcol, long nbrow, GEN p) GEN FpXQX_factor_Berlekamp(GEN x, GEN T, GEN p) GEN FpX_to_mod_raw(GEN z, GEN p) GEN FqM_mul_Kronecker(GEN x, GEN y, GEN T, GEN p) void GRH_ensure(GRHcheck_t *S, long nb) ulong GRH_last_prime(GRHcheck_t *S) int GRHok(GRHcheck_t *S, double L, double SA, double SB) GEN LLL_check_progress(GEN Bnorm, long n0, GEN m, int final, long *ti_LLL) int MR_Jaeschke(GEN n) GEN RgM_pivots(GEN x0, GEN data, long *rr, pivot_fun pivot) void RgMs_structelim_col(GEN M, long nbcol, long nbrow, GEN A, GEN *p_col, GEN *p_lin) GEN RgXQ_charpoly_i(GEN x, GEN T, long v) GEN RgX_recipspec_shallow(GEN x, long l, long n) GEN ZM_pivots(GEN x0, long *rr) GEN ZXQ_charpoly_sqf(GEN A, GEN B, long *lambda, long v) GEN ZX_DDF(GEN x) GEN ZX_DDF_max(GEN x, long dmax) ulong ZX_ZXY_ResBound(GEN A, GEN B, GEN dB) GEN ZX_ZXY_resultant_all(GEN A, GEN B, long *lambda, GEN *LPRS) int ZX_canon_neg(GEN z) GEN ZX_disc_all(GEN,ulong) GEN ZX_resultant_all(GEN A, GEN B, GEN dB, ulong bound) long Z_isanypower_nosmalldiv(GEN N, ulong cutoff, GEN *px) GEN ZlXQX_hyperellpadicfrobenius(GEN H, GEN T, ulong p, long n) GEN ZlXQXn_expint(GEN h, long e, GEN T, GEN p, ulong pp) GEN ZpXQ_norm_pcyc(GEN x, GEN T, GEN q, GEN p) void abpq_init(struct abpq *A, long n) void abpq_sum(struct abpq_res *r, long n1, long n2, struct abpq *A) GEN adduispec_offset(ulong s, GEN x, long offset, long nx) ulong ascend_volcano(GEN phi, ulong j, ulong p, ulong pi, long level, long L, long depth, long steps) long bernbitprec(long N) GEN bezout_lift_fact(GEN T, GEN Tmod, GEN p, long e) ulong bnf_increase_LIMC(ulong LIMC, ulong LIMCMAX) long ceilsqrtdiv(GEN x, GEN y) GEN check_mod_factored(GEN nf, GEN ideal, GEN *fa, GEN *fa2, GEN *archp, GEN MOD) void check_nfelt(GEN x, GEN *den) GEN chk_factors_get(GEN lt, GEN famod, GEN c, GEN T, GEN N) long cmbf_maxK(long nb) GEN coltoalg(GEN nf,GEN x) GEN condliftA4(GEN nf) GEN condliftA5(GEN nf) GEN condliftS4(GEN nf) GEN contfraceval_inv(GEN CF, GEN tinv, long nlim) GEN contfracinit_i(GEN M, long n) ulong *convi(GEN x, long *l) long cosets_perm_search(GEN C, GEN p) double dabs(double s, double t) double darg(double s, double t) double dbllambertW0(double a) double dbllambertW_1(double a) double dbllog2(GEN z) void dcxlog(double s, double t, double *a, double *b) GEN ddf_to_ddf2(GEN V) long ddf_to_nbfact(GEN D) ulong descend_volcano(GEN phi, ulong j, ulong p, ulong pi, long level, long L, long depth, long steps) GEN dim1proj(GEN prh) GEN direuler_factor(GEN s, long n) int divisors_init(GEN n, GEN *pP, GEN *pE) double dnorm(double s, double t) GEN double_eta_quotient(GEN a, GEN w, GEN D, long p, long q, GEN pq, GEN sqrtD) GEN double_eta_raw(long inv) GEN ell2selmer_basis(GEN ell, GEN *cb, long prec) GEN ellQ_genreduce(GEN E, GEN G, GEN M, long prec) GEN ellQ_isdivisible(GEN E, GEN P, ulong l) GEN ellintegralbmodel(GEN e, GEN *pv) GEN ellminimalbmodel(GEN E, GEN *ptv) void ellprint(GEN e) GEN enum_roots(ulong j, norm_eqn_t ne, GEN fdb, GEN G, GEN vshape) void export_add(const char *str, GEN val) void export_del(const char *str) GEN export_get(const char *str) GEN extract_full_lattice(GEN x) GEN factorbackprime(GEN nf, GEN L, GEN e) GEN famat_zlog_pr(GEN nf, GEN g, GEN e, GEN sprk, GEN mod) GEN ffinit_Artin_Schreier(ulong p, long l) GEN ffinit_rand(GEN p, long n) GEN fincke_pohst(GEN a,GEN BOUND,long stockmax,long PREC, FP_chk_fun *CHECK) void free_GRHcheck(GRHcheck_t *S) GEN galoiscosets(GEN O, GEN perm) GEN galoiscyclo(long n, long v) GEN galoisinitfromaut(GEN T, GEN aut, ulong l) GEN gen_if_principal(GEN bnf, GEN x) GEN gred_rfrac_simple(GEN n, GEN d) hashtable *hashstr_import_static(hashentry *e, ulong size) GEN hnaive_max(GEN ell, GEN ht) GEN hnfadd(GEN m,GEN p,GEN* ptdep,GEN* ptA,GEN* ptC,GEN extramat,GEN extraC) GEN hnfadd_i(GEN m,GEN p,GEN* ptdep,GEN* ptA,GEN* ptC,GEN extramat,GEN extraC) GEN hnfspec(GEN m,GEN p,GEN* ptdep,GEN* ptA,GEN* ptC,long k0) GEN hnfspec_i(GEN m,GEN p,GEN* ptdep,GEN* ptA,GEN* ptC,long k0) GEN hyperellextremalmodels(GEN F, long g, GEN p) void init_GRHcheck(GRHcheck_t *S, long N, long R1, double LOGD) void init_modular_big(forprime_t *S) void init_modular_small(forprime_t *S) GEN init_red_mod_units(GEN bnf, long prec) void init_zlog(zlog_S *S, GEN bid) GEN initgaloisborne(GEN T, GEN dn, long prec, GEN *pL, GEN *pprep, GEN *pdis) GEN inv_szeta_euler(long n, long prec) int is_gener_Fl(ulong x, ulong p, ulong p_1, GEN L) int is_gener_Fp(GEN x, GEN p, GEN p_1, GEN L) ulong is_kth_power(GEN x, ulong p, GEN *pt) GEN isprincipalarch(GEN bnf, GEN col, GEN kNx, GEN e, GEN dx, long *pe) long j_level_in_volcano(GEN phi, ulong j, ulong p, ulong pi, long L, long depth) void killallfiles(void) GEN lerchzetalarge(GEN s, GEN a, GEN lam, long prec) GEN lfunlambdalarge(GEN CHI, GEN s, long bitprec) GEN lfunlarge(GEN CHI, GEN s, long bitprec) GEN lfunloglambdalarge(GEN CHI, GEN s, long bitprec) int lgcdii(ulong* d, ulong* d1, ulong* u, ulong* u1, ulong* v, ulong* v1, ulong vmax) GEN lift_if_rational(GEN x) GEN log_gen_arch(zlog_S *S, long index) GEN log_gen_pr(zlog_S *S, long index, GEN nf, long e) GEN log_prk(GEN nf, GEN a, GEN sprk, GEN mod) GEN log_prk_init(GEN nf, GEN pr, long k, GEN mod) GEN log_prk_units(GEN nf, GEN D, GEN sprk) GEN log_prk_units_init(GEN bnf) GEN logagmcx(GEN q, long prec) GEN make_integral(GEN nf, GEN L0, GEN f, GEN listpr) GEN mathnfspec(GEN x, GEN *ptperm, GEN *ptdep, GEN *ptB, GEN *ptC) GEN matrixnorm(GEN M, long prec) GEN mfrhopol(long n) GEN mfrhopol_eval(GEN Q, GEN t2) GEN mfrhopol_u_eval(GEN Q, ulong t2) GEN minkowski_bound(GEN D, long N, long r2, long prec) ulong modfn_root(ulong j, norm_eqn_t ne, long inv) long modfn_unambiguous_root(ulong *r, long inv, ulong j0, norm_eqn_t ne, GEN jdb) long modinv_degree(long *p1, long *p2, long inv) long modinv_j_from_2double_eta(GEN F, long inv, ulong x0, ulong x1, ulong p, ulong pi) long modinv_level(long inv) long modinv_ramified(long D, long inv, long *pN) GEN monomial(GEN a, long degpol, long v) GEN monomialcopy(GEN a, long degpol, long v) GEN mpqs(GEN N) GEN muliispec(GEN x, GEN y, long nx, long ny) pariFILE * newfile(FILE *f, const char *name, int type) long next_surface_nbr(ulong *nJ, GEN phi, long L, long h, ulong J, const ulong *pJ, ulong p, ulong pi) GEN nf_direct_compositum(GEN nf, GEN A, GEN B) GEN nflistQT(long n, long k, long v) void pari_close_hgm(void) GEN pari_get_seadata(void) void pari_init_ellcondfile(void) void pari_init_hgm(void) void pari_init_seadata(void) void pari_set_primetab(GEN global_primetab) void pari_set_seadata(GEN seadata) void pari_set_varstate(long *vp, struct pari_varstate *vs) GEN perm_generate(GEN S, GEN H, long o) long perm_relorder(GEN p, GEN S) GEN polclass0(long D, long inv, long vx, GEN *db) long polishomogeneous(GEN P) GEN polmodular0_ZM(long L, long inv, GEN J, GEN Q, int compute_derivs, GEN *db) void polmodular_db_add_level(GEN *db, long L, long inv) void polmodular_db_add_levels(GEN *db, long *levels, long k, long inv) void polmodular_db_clear(GEN db) GEN polmodular_db_for_inv(GEN db, long inv) GEN polmodular_db_getp(GEN fdb, long L, ulong p) GEN polmodular_db_init(long inv) GEN polsym_gen(GEN P, GEN y0, long n, GEN T, GEN N) GEN poltobasis(GEN nf,GEN x) int popinfile(void) GEN producttree_scheme(long n) GEN qfb_nform(long D, long n) void random_curves_with_m_torsion(ulong *a4, ulong *a6, ulong *tx, ulong *ty, long ncurves, long m, ulong p, ulong pi) GEN red_mod_units(GEN col, GEN z) GEN red_montgomery(GEN T, GEN N, ulong inv) GEN redimagsl2(GEN q, GEN *U) ulong rgcduu(ulong d, ulong d1, ulong vmax, ulong* u, ulong* u1, ulong* v, ulong* v1, long *s) GEN rnfallbase(GEN nf, GEN pol, GEN lim, GEN eq, GEN *pD, GEN *pfi, GEN *pdKP) GEN rnfdisc_get_T(GEN nf, GEN P, GEN *lim) GEN rpowuu(ulong a, ulong n, long prec) GEN ser2pol_i(GEN x, long lx) GEN ser2pol_i_normalize(GEN x, long l, long *v) GEN ser2rfrac_i(GEN x) GEN sertocol(GEN S) long set_optimize(long what, GEN g) GEN sort_factor_pol(GEN y, int (*cmp)(GEN,GEN)) void sprk_get_AgL2(GEN s, GEN *A, GEN *g, GEN *L2) void sprk_get_U2(GEN s, GEN *U1, GEN *U2) GEN sprk_get_cyc(GEN s) GEN sprk_get_expo(GEN s) GEN sprk_get_ff(GEN s) GEN sprk_get_gen(GEN s) GEN sprk_get_pr(GEN s) GEN sprk_get_prk(GEN s) GEN sprk_log_gen_pr(GEN nf, GEN sprk, long e) GEN sprk_log_gen_pr2(GEN nf, GEN sprk, long e) GEN sprk_log_prk1(GEN nf, GEN a, GEN sprk) GEN sprk_to_bid(GEN nf, GEN L, long flag) GEN sqr_ser_part(GEN x, long l1, long l2) GEN sqrispec(GEN x, long nx) long subcyclo_nH(const char *fun, GEN N, GEN *psg) int subgroup_conductor_ok(GEN H, GEN L) GEN subgroupcondlist(GEN cyc, GEN bound, GEN listKer) GEN subgrouplist_cond_sub(GEN bnr, GEN C, GEN bound) GEN swap_vars(GEN b0, long v) GEN trans_fix_arg(long *prec, GEN *s0, GEN *sig, GEN *tau, pari_sp *av, GEN *res) pariFILE * try_pipe(const char *cmd, int flag) GEN vddf_to_simplefact(GEN V, long d) GEN veccond_to_A5(GEN L, long s) GEN veclog_prk(GEN nf, GEN v, GEN sprk) GEN vecperm_extendschreier(GEN C, GEN v, long n) ulong xgcduu(ulong d, ulong d1, int f, ulong* v, ulong* v1, long *s) ulong xxgcduu(ulong d, ulong d1, int f, ulong* u, ulong* u1, ulong* v, ulong* v1, long *s) GEN zellagmcx(GEN a0, GEN b0, GEN r, GEN t, long prec) GEN zetahurwitzlarge(GEN s, GEN a, long prec) GEN zk_ei_mul(GEN nf, GEN x, long i) GEN zk_galoisapplymod(GEN nf, GEN z, GEN S, GEN p) GEN znstar_bits(long n, GEN H) long znstar_conductor(GEN H) long znstar_conductor_bits(GEN bits) GEN znstar_cosets(long n, long phi_n, GEN H) GEN znstar_elts(long n, GEN H) GEN znstar_generate(long n, GEN V) GEN znstar_hnf(GEN Z, GEN M) GEN znstar_hnf_elts(GEN Z, GEN H) GEN znstar_hnf_generators(GEN Z, GEN M) GEN znstar_reduce_modulus(GEN H, long n) GEN znstar_small(GEN zn) long zx_is_pcyc(GEN T)