r"""
Declarations for inline functions from PARI.
This file contains all declarations from headers/pariinl.h from the
PARI distribution. All these functions are simple inline functions.
This file is included by sage/libs/pari/decl.pxi
AUTHORS:
- Jeroen Demeyer (2010-08-15): initial version (#9898)
"""
cdef extern from "pari/pari.h":
###################################################################
# #
# CONSTRUCTORS #
# #
###################################################################
GEN mkintmod(GEN x, GEN y)
GEN mkintmodu(ulong x, ulong y)
GEN mkpolmod(GEN x, GEN y)
GEN mkfrac(GEN x, GEN y)
GEN mkfraccopy(GEN x, GEN y)
GEN mkrfrac(GEN x, GEN y)
GEN mkcomplex(GEN x, GEN y)
GEN gen_I()
GEN cgetc(long l)
GEN mkquad(GEN n, GEN x, GEN y)
GEN mkvecsmall(long x)
GEN mkvecsmall2(long x,long y)
GEN mkvecsmall3(long x,long y,long z)
GEN mkvecsmall4(long x,long y,long z,long t)
GEN mkvec(GEN x)
GEN mkvec2(GEN x, GEN y)
GEN mkvec3(GEN x, GEN y, GEN z)
GEN mkvec4(GEN x, GEN y, GEN z, GEN t)
GEN mkvec5(GEN x, GEN y, GEN z, GEN t, GEN u)
GEN mkvecs(long x)
GEN mkvec2s(long x, long y)
GEN mkvec3s(long x, long y, long z)
GEN mkveccopy(GEN x)
GEN mkvec2copy(GEN x, GEN y)
GEN mkcol(GEN x)
GEN mkcol2(GEN x, GEN y)
GEN mkcolcopy(GEN x)
GEN mkmat(GEN x)
GEN mkmat2(GEN x, GEN y)
GEN mkmatcopy(GEN x)
GEN pol_x(long v)
GEN pol_1(long v)
GEN const_vec(long n, GEN x)
GEN const_col(long n, GEN x)
GEN const_vecsmall(long n, long c)
### Zero ###
GEN zeropadic(GEN p, long e)
GEN zeroser(long v, long e)
GEN zeropol(long v)
GEN zerocol(long n)
GEN zerovec(long n)
GEN zeromat(long m, long n)
GEN zero_Flx(long sv)
GEN zero_Flv(long n)
GEN zero_Flm(long m, long n)
GEN zero_F2v(long m)
GEN zero_F2m(long m, long n)
GEN zero_F2m_copy(long m, long n)
GEN zeromatcopy(long m, long n)
GEN col_ei(long n, long i)
GEN vec_ei(long n, long i)
GEN vecsmall_ei(long n, long i)
GEN Rg_col_ei(GEN x, long n, long i)
GEN shallowcopy(GEN x)
GEN vecsmall_copy(GEN x)
GEN vectrunc_init(long l)
void vectrunc_append(GEN x, GEN t)
GEN vecsmalltrunc_init(long l)
void vecsmalltrunc_append(GEN x, long t)
###################################################################
# #
# VEC / COL / VECSMALL #
# #
###################################################################
GEN vec_shorten(GEN v, long n)
GEN vec_lengthen(GEN v, long n)
GEN vec_setconst(GEN v, GEN x)
GEN vecsmall_shorten(GEN v, long n)
GEN vecsmall_lengthen(GEN v, long n)
GEN vec_to_vecsmall(GEN z)
GEN vecsmall_to_vec(GEN z)
GEN vecsmall_to_col(GEN z)
int vecsmall_lexcmp(GEN x, GEN y)
int vecsmall_prefixcmp(GEN x, GEN y)
GEN vecsmall_prepend(GEN V, long s)
GEN vecsmall_append(GEN V, long s)
GEN vecsmall_concat(GEN u, GEN v)
long vecsmall_coincidence(GEN u, GEN v)
long vecsmall_isin(GEN v, long x)
long vecsmall_pack(GEN V, long base, long mod)
long vecsmall_max(GEN x)
long vecsmall_min(GEN x)
int ZV_isscalar(GEN x)
int QV_isscalar(GEN x)
int RgV_isscalar(GEN x)
int RgX_isscalar(GEN x)
int RgX_is_rational(GEN x)
int RgX_is_ZX(GEN x)
int RgX_is_monomial(GEN x)
int RgM_is_ZM(GEN x)
###################################################################
# #
# Dynamic arrays implementation #
# #
###################################################################
# Omitted
###################################################################
# #
# EXTRACT #
# #
###################################################################
GEN vecslice(GEN A, long y1, long y2)
GEN vecslicepermute(GEN A, GEN p, long y1, long y2)
GEN rowslicepermute(GEN A, GEN p, long x1, long x2)
GEN rowslice(GEN A, long x1, long x2)
GEN row(GEN A, long x0)
GEN row_Flm(GEN A, long x0)
GEN rowcopy(GEN A, long x0)
GEN row_i(GEN A, long x0, long x1, long x2)
GEN vecreverse(GEN A)
GEN vecpermute(GEN A, GEN p)
GEN rowpermute(GEN A, GEN p)
void vecselect_p(GEN A, GEN B, GEN p, long init, long lB)
void rowselect_p(GEN A, GEN B, GEN p, long init)
###################################################################
# #
# PERMUTATIONS #
# #
###################################################################
GEN identity_perm(long n)
GEN cyclic_perm(long n, long d)
GEN perm_mul(GEN s, GEN t)
GEN perm_inv(GEN x)
GEN perm_conj(GEN s, GEN t)
###################################################################
# #
# MALLOC/FREE WRAPPERS #
# #
###################################################################
void pari_free(void *pointer)
void* pari_malloc(size_t size)
void* pari_realloc(void *pointer, size_t size)
void* pari_calloc(size_t size)
GEN cgetalloc(long t, size_t l)
###################################################################
# #
# GARBAGE COLLECTION #
# #
###################################################################
GEN icopy_avma(GEN x, pari_sp av)
GEN gerepileuptoleaf(pari_sp av, GEN x)
GEN gerepileuptoint(pari_sp av, GEN x)
GEN gerepileupto(pari_sp av, GEN x)
GEN gerepilecopy(pari_sp av, GEN x)
void gerepilemany(pari_sp av, GEN* gptr[], int n)
void gerepileall(pari_sp av, int n, ...)
void gerepilecoeffs(pari_sp av, GEN x, int n)
void gerepilecoeffs2(pari_sp av, GEN x, int n, GEN y, int o)
void cgiv(GEN x)
void killblock(GEN x)
int is_universal_constant(GEN x)
###################################################################
# #
# CONVERSION / ASSIGNMENT #
# #
###################################################################
GEN cxcompotor(GEN z, long prec)
GEN cxtofp(GEN x, long prec)
double gtodouble(GEN x)
long gtos(GEN x)
GEN absfrac(GEN x)
GEN Q_abs(GEN x)
GEN gtofp(GEN z, long prec)
GEN RgX_gtofp(GEN x, long prec)
GEN RgC_gtofp(GEN x, long prec)
GEN RgM_gtofp(GEN x, long prec)
GEN RgX_fpnorml2(GEN x, long prec)
GEN RgC_fpnorml2(GEN x, long prec)
GEN RgM_fpnorml2(GEN x, long prec)
void affgr(GEN x, GEN y)
GEN affc_fixlg(GEN x, GEN res)
GEN trunc_safe(GEN x)
###################################################################
# #
# LENGTH CONVERSIONS #
# #
###################################################################
# Omitted
###################################################################
# #
# OPERATIONS MODULO m #
# #
###################################################################
GEN Fp_red(GEN a, GEN m)
GEN Fp_add(GEN a, GEN b, GEN m)
GEN Fp_sub(GEN a, GEN b, GEN m)
GEN Fp_neg(GEN b, GEN m)
GEN Fp_center(GEN u, GEN p, GEN ps2)
GEN Fp_mul(GEN a, GEN b, GEN m)
GEN Fp_sqr(GEN a, GEN m)
GEN Fp_mulu(GEN a, ulong b, GEN m)
GEN Fp_inv(GEN a, GEN m)
GEN Fp_invsafe(GEN a, GEN m)
GEN Fp_div(GEN a, GEN b, GEN m)
###################################################################
# #
# GEN SUBTYPES #
# #
###################################################################
int is_const_t(long t)
int is_extscalar_t(long t)
int is_intreal_t(long t)
int is_matvec_t(long t)
int is_noncalc_t(long tx)
int is_rational_t(long t)
int is_recursive_t(long t)
int is_scalar_t(long t)
int is_vec_t(long t)
###################################################################
# #
# TRANSCENDENTAL #
# #
###################################################################
GEN sqrtr(GEN x)
GEN sqrtnr(GEN x, long n)
###################################################################
# #
# MISCELLANEOUS #
# #
###################################################################
int isintzero(GEN x)
int isint1(GEN x)
int isintm1(GEN x)
int equali1(GEN n)
int equalim1(GEN n)
int is_pm1(GEN n)
int is_bigint(GEN n)
# Many functions omitted
### POLYNOMIALS
GEN constant_term(GEN x)
GEN leading_term(GEN x)
long degpol(GEN x)
long lgpol(GEN x)
GEN truecoeff(GEN x, long n)
###################################################################
# #
# ASSIGNMENTS #
# #
###################################################################
# Omitted
###################################################################
# #
# ELLIPTIC CURVES #
# #
###################################################################
GEN ell_get_a1(GEN e)
GEN ell_get_a2(GEN e)
GEN ell_get_a3(GEN e)
GEN ell_get_a4(GEN e)
GEN ell_get_a6(GEN e)
GEN ell_get_b2(GEN e)
GEN ell_get_b4(GEN e)
GEN ell_get_b6(GEN e)
GEN ell_get_b8(GEN e)
GEN ell_get_c4(GEN e)
GEN ell_get_c6(GEN e)
GEN ell_get_disc(GEN e)
GEN ell_get_j(GEN e)
GEN ell_get_roots(GEN e)
int ell_is_inf(GEN z)
int ell_is_padic(GEN x)
int ell_is_real(GEN x)
###################################################################
# #
# ALGEBRAIC NUMBER THEORY #
# #
###################################################################
GEN pr_get_p(GEN pr)
GEN pr_get_gen(GEN pr)
long pr_get_e(GEN pr)
long pr_get_f(GEN pr)
GEN pr_get_tau(GEN pr)
int pr_is_inert(GEN P)
GEN pr_norm(GEN pr)
long nf_get_varn(GEN nf)
GEN nf_get_pol(GEN nf)
long nf_get_degree(GEN nf)
long nf_get_r1(GEN nf)
long nf_get_r2(GEN nf)
GEN nf_get_disc(GEN nf)
GEN nf_get_index(GEN nf)
GEN nf_get_M(GEN nf)
GEN nf_get_G(GEN nf)
GEN nf_get_roundG(GEN nf)
GEN nf_get_Tr(GEN nf)
GEN nf_get_TrInv(GEN nf)
GEN nf_get_roots(GEN nf)
GEN nf_get_zk(GEN nf)
GEN nf_get_invzk(GEN nf)
void nf_get_sign(GEN nf, long *r1, long *r2)
GEN bnf_get_nf(GEN bnf)
GEN bnf_get_clgp(GEN bnf)
GEN bnf_get_no(GEN bnf)
GEN bnf_get_cyc(GEN bnf)
GEN bnf_get_gen(GEN bnf)
GEN bnf_get_reg(GEN bnf)
GEN bnf_get_logfu(GEN bnf)
GEN bnf_get_tuU(GEN bnf)
long bnf_get_tuN(GEN bnf)
GEN bnf_get_fu(GEN bnf)
GEN bnf_get_fu_nocheck(GEN bnf)
GEN bnr_get_bnf(GEN bnr)
GEN bnr_get_bid(GEN bnr)
GEN bnr_get_mod(GEN bnr)
GEN bnr_get_nf(GEN bnr)
GEN bnr_get_no(GEN bnr)
GEN bnr_get_cyc(GEN bnr)
GEN bnr_get_gen_nocheck(GEN bnr)
GEN bnr_get_gen(GEN bnr)
GEN bid_get_mod(GEN bid)
GEN bid_get_ideal(GEN bid)
GEN bid_get_arch(GEN bid)
GEN bid_get_cyc(GEN bid)
GEN bid_get_gen_nocheck(GEN bid)
GEN bid_get_gen(GEN bid)
GEN gal_get_pol(GEN gal)
GEN gal_get_p(GEN gal)
GEN gal_get_e(GEN gal)
GEN gal_get_mod(GEN gal)
GEN gal_get_roots(GEN gal)
GEN gal_get_invvdm(GEN gal)
GEN gal_get_den(GEN gal)
GEN gal_get_group(GEN gal)
GEN gal_get_gen(GEN gal)
GEN gal_get_orders(GEN gal)
long rnf_get_degree(GEN rnf)
GEN idealpseudomin(GEN I, GEN G)
GEN idealpseudomin_nonscalar(GEN I, GEN G)
GEN idealred_elt(GEN nf, GEN I)
GEN idealred(GEN nf, GEN I)
