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Version tested: 2.16.0 (development 28279-2196fc7214)
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 Flxq_elldivpolmod(GEN a4, GEN a6, long n, GEN h, GEN T, ulong p) ulong maxprimelim(void) GEN prodprimes(void)
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: 232 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 FlxV_direct_compositum(GEN V, ulong p) GEN Flx_direct_compositum(GEN A, GEN B, ulong p) GEN FlxqM_mul_Kronecker(GEN A, GEN B, GEN T, ulong p) GEN FlxqX_direct_compositum(GEN P, GEN Q, 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 FpXV_direct_compositum(GEN V, GEN p) GEN FpX_direct_compositum(GEN A, GEN B, 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 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) 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) 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) long bnf_increase_LIMC(long LIMC, long 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 contfraceval_inv(GEN CF, GEN tinv, long nlim) 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) 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) long isanypower_nosmalldiv(GEN N, GEN *px) 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) 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) void prime_table_next_p(ulong a, byteptr *pd, ulong *pp, ulong *pn) 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) ulong snextpr(ulong p, byteptr *d, long *rcn, long *q, int (*ispsp)(ulong)) 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 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)