Mod experiment

setup.py

@@ -64,8 +64,32 @@
 
 
 ext_files = [
-    ("flint._flint", ["src/flint/pyflint.pyx"]), # Main Module
+    # ("flint._flint", ["src/flint/_flint.pxd"]), # Main Module
+    ("flint.pyflint", ["src/flint/pyflint.pyx"]), # Main Module
     # Submodules
+    ("flint.types.fmpz", ["src/flint/types/fmpz.pyx"]),
+    ("flint.types.fmpz_poly", ["src/flint/types/fmpz_poly.pyx"]),
+    ("flint.types.fmpz_mat", ["src/flint/types/fmpz_mat.pyx"]),
+    ("flint.types.fmpz_series", ["src/flint/types/fmpz_series.pyx"]),
+    ("flint.types.fmpq", ["src/flint/types/fmpq.pyx"]),
+    ("flint.types.fmpq_poly", ["src/flint/types/fmpq_poly.pyx"]),
+    ("flint.types.fmpq_mat", ["src/flint/types/fmpq_mat.pyx"]),
+    ("flint.types.fmpq_series", ["src/flint/types/fmpq_series.pyx"]),
+    ("flint.types.nmod", ["src/flint/types/nmod.pyx"]),
+    ("flint.types.nmod_poly", ["src/flint/types/nmod_poly.pyx"]),
+    ("flint.types.nmod_mat", ["src/flint/types/nmod_mat.pyx"]),
+    ("flint.types.nmod_series", ["src/flint/types/nmod_series.pyx"]),
+    ("flint.types.arf", ["src/flint/types/arf.pyx"]),
+    ("flint.types.arb", ["src/flint/types/arb.pyx"]),
+    ("flint.types.arb_poly", ["src/flint/types/arb_poly.pyx"]),
+    ("flint.types.arb_mat", ["src/flint/types/arb_mat.pyx"]),
+    ("flint.types.arb_series", ["src/flint/types/arb_series.pyx"]),
+    ("flint.types.acb", ["src/flint/types/acb.pyx"]),
+    ("flint.types.acb_poly", ["src/flint/types/acb_poly.pyx"]),
+    ("flint.types.acb_mat", ["src/flint/types/acb_mat.pyx"]),
+    ("flint.types.acb_series", ["src/flint/types/acb_series.pyx"]),
+    ("flint.types.fmpz_mpoly", ["src/flint/types/fmpz_mpoly.pyx"]),
+    ("flint.types.dirichlet", ["src/flint/types/dirichlet.pyx"]),
     ("flint.flint_base.flint_base", ["src/flint/flint_base/flint_base.pyx"]),
     ("flint.flint_base.flint_context", ["src/flint/flint_base/flint_context.pyx"]),
 

src/flint/__init__.py

@@ -1,3 +1,24 @@
-from ._flint import *
-
+from .pyflint import *
+from .types.fmpz import *
+from .types.fmpz_poly import *
+from .types.fmpz_mat import *
+from .types.fmpz_series import *
+from .types.fmpq import *
+from .types.fmpq_poly import *
+from .types.fmpq_mat import *
+from .types.fmpq_series import *
+from .types.nmod import *
+from .types.nmod_poly import *
+from .types.nmod_mat import *
+from .types.nmod_series import *
+from .types.arf import *
+from .types.arb import *
+from .types.arb_poly import *
+from .types.arb_mat import *
+from .types.arb_series import *
+from .types.acb import *
+from .types.acb_poly import *
+from .types.acb_mat import *
+from .types.acb_series import *
+from .types.fmpz_mpoly import *
 __version__ = '0.4.2'

src/flint/flint_base/flint_context.pxd

@@ -1,4 +1,4 @@
-from flint._flint cimport (
+from flint.flintlib.arf cimport (
     arf_rnd_t,
 )
 

src/flint/flint_base/flint_context.pyx

@@ -1,5 +1,5 @@
+from flint.flintlib.arf cimport ARF_RND_DOWN
 from flint._flint cimport (
-    ARF_RND_DOWN,
     flint_cleanup,
     flint_get_num_threads,
     flint_set_num_threads

src/flint/flintlib/acb.pxd

@@ -0,0 +1,197 @@
+from flint._flint cimport ulong, slong
+from flint.flintlib.arb cimport arb_struct, arb_t, arb_ptr
+from flint.flintlib.fmpq cimport fmpq_t
+from flint.flintlib.fmpz cimport fmpz_t
+from flint.flintlib.arf cimport arf_t
+from flint.flintlib.mag cimport mag_t
+
+cdef extern from "acb.h":
+    ctypedef struct acb_struct:
+        arb_struct real
+        arb_struct imag
+
+    ctypedef acb_struct * acb_ptr
+    ctypedef const acb_struct * acb_srcptr
+    ctypedef acb_struct acb_t[1]
+
+    arb_ptr acb_realref(const acb_t x)
+    arb_ptr acb_imagref(const acb_t x)
+
+    acb_ptr _acb_vec_init(long n)
+    void _acb_vec_clear(acb_ptr v, long n)
+    void _acb_vec_sort_pretty(acb_ptr vec, long len)
+    void acb_printd(const acb_t z, long digits)
+
+    void acb_init(acb_t x)
+    void acb_clear(acb_t x)
+    int acb_is_zero(const acb_t z)
+    int acb_is_one(const acb_t z)
+    int acb_is_exact(const acb_t z)
+    int acb_is_finite(const acb_t x)
+    void acb_indeterminate(acb_t x)
+    void acb_zero(acb_t z)
+    void acb_one(acb_t z)
+    void acb_onei(acb_t z)
+    void acb_set(acb_t z, const acb_t x)
+    void acb_set_round(acb_t z, const acb_t x, long prec)
+    void acb_neg_round(acb_t z, const acb_t x, long prec)
+    void acb_swap(acb_t z, acb_t x)
+    int acb_equal(const acb_t x, const acb_t y)
+    int acb_eq(const acb_t x, const acb_t y)
+    int acb_ne(const acb_t x, const acb_t y)
+    int acb_overlaps(const acb_t x, const acb_t y)
+    int acb_contains_zero(const acb_t x)
+    int acb_contains_fmpq(const acb_t x, const fmpq_t y)
+    int acb_contains_fmpz(const acb_t x, const fmpz_t y)
+    int acb_contains(const acb_t x, const acb_t y)
+    int acb_contains_interior(const acb_t x, const acb_t y)
+    int acb_get_unique_fmpz(fmpz_t z, const acb_t x)
+    int acb_contains_int(const acb_t x)
+    void acb_union(acb_t z, const acb_t x, const acb_t y, long prec)
+    void acb_set_ui(acb_t z, ulong c)
+    void acb_set_si(acb_t z, long c)
+    void acb_set_fmpz(acb_t z, const fmpz_t c)
+    void acb_set_round_fmpz(acb_t z, const fmpz_t y, long prec)
+    void acb_set_fmpq(acb_t z, const fmpq_t c, long prec)
+    void acb_set_arb(acb_t z, const arb_t c)
+    void acb_set_round_arb(acb_t z, const arb_t x, long prec)
+    void acb_trim(acb_t z, const acb_t x)
+    void acb_add_error_arf(acb_t x, const arf_t err)
+    void acb_add_error_mag(acb_t x, const mag_t err)
+    void acb_get_mag(mag_t z, const acb_t x)
+    void acb_get_mag_lower(mag_t z, const acb_t x)
+    void acb_get_abs_ubound_arf(arf_t u, const acb_t z, long prec)
+    void acb_get_abs_lbound_arf(arf_t u, const acb_t z, long prec)
+    void acb_get_rad_ubound_arf(arf_t u, const acb_t z, long prec)
+    void acb_arg(arb_t r, const acb_t z, long prec)
+    void acb_add(acb_t z, const acb_t x, const acb_t y, long prec)
+    void acb_sub(acb_t z, const acb_t x, const acb_t y, long prec)
+    void acb_add_ui(acb_t z, const acb_t x, ulong c, long prec)
+    void acb_sub_ui(acb_t z, const acb_t x, ulong c, long prec)
+    void acb_add_fmpz(acb_t z, const acb_t x, const fmpz_t y, long prec)
+    void acb_add_arb(acb_t z, const acb_t x, const arb_t y, long prec)
+    void acb_sub_fmpz(acb_t z, const acb_t x, const fmpz_t y, long prec)
+    void acb_sub_arb(acb_t z, const acb_t x, const arb_t y, long prec)
+    void acb_neg(acb_t z, const acb_t x)
+    void acb_conj(acb_t z, const acb_t x)
+    void acb_abs(arb_t u, const acb_t z, long prec)
+    void acb_sgn(acb_t u, const acb_t z, long prec)
+    void acb_csgn(arb_t u, const acb_t z)
+    void acb_get_real(arb_t u, const acb_t z)
+    void acb_get_imag(arb_t u, const acb_t z)
+
+    void acb_real_abs(acb_t res, const acb_t z, int analytic, long prec)
+    void acb_real_sgn(acb_t res, const acb_t z, int analytic, long prec)
+    void acb_real_heaviside(acb_t res, const acb_t z, int analytic, long prec)
+    void acb_real_floor(acb_t res, const acb_t z, int analytic, long prec)
+    void acb_real_ceil(acb_t res, const acb_t z, int analytic, long prec)
+    void acb_real_max(acb_t res, const acb_t x, const acb_t y, int analytic, long prec)
+    void acb_real_min(acb_t res, const acb_t x, const acb_t y, int analytic, long prec)
+    void acb_real_sqrtpos(acb_t res, const acb_t z, int analytic, long prec)
+
+    void acb_sqrt_analytic(acb_t res, const acb_t z, int analytic, long prec)
+    void acb_rsqrt_analytic(acb_t res, const acb_t z, int analytic, long prec)
+    void acb_log_analytic(acb_t res, const acb_t z, int analytic, long prec)
+    void acb_pow_analytic(acb_t res, const acb_t z, const acb_t w, int analytic, long prec)
+
+    void acb_mul_ui(acb_t z, const acb_t x, ulong y, long prec)
+    void acb_mul_si(acb_t z, const acb_t x, long y, long prec)
+    void acb_mul_fmpz(acb_t z, const acb_t x, const fmpz_t y, long prec)
+    void acb_mul_arb(acb_t z, const acb_t x, const arb_t y, long prec)
+    void acb_mul_onei(acb_t z, const acb_t x)
+    void acb_mul(acb_t z, const acb_t x, const acb_t y, long prec)
+    void acb_mul_2exp_si(acb_t z, const acb_t x, long e)
+    void acb_mul_2exp_fmpz(acb_t z, const acb_t x, const fmpz_t c)
+    void acb_addmul(acb_t z, const acb_t x, const acb_t y, long prec)
+    void acb_submul(acb_t z, const acb_t x, const acb_t y, long prec)
+    void acb_addmul_ui(acb_t z, const acb_t x, ulong y, long prec)
+    void acb_addmul_si(acb_t z, const acb_t x, long y, long prec)
+    void acb_submul_ui(acb_t z, const acb_t x, ulong y, long prec)
+    void acb_submul_si(acb_t z, const acb_t x, long y, long prec)
+    void acb_addmul_fmpz(acb_t z, const acb_t x, const fmpz_t y, long prec)
+    void acb_submul_fmpz(acb_t z, const acb_t x, const fmpz_t y, long prec)
+    void acb_addmul_arb(acb_t z, const acb_t x, const arb_t y, long prec)
+    void acb_submul_arb(acb_t z, const acb_t x, const arb_t y, long prec)
+    void acb_inv(acb_t z, const acb_t x, long prec)
+    void acb_div(acb_t z, const acb_t x, const acb_t y, long prec)
+    void acb_div_ui(acb_t z, const acb_t x, ulong c, long prec)
+    void acb_div_si(acb_t z, const acb_t x, long c, long prec)
+    void acb_div_arb(acb_t z, const acb_t x, const arb_t c, long prec)
+    void acb_div_fmpz(acb_t z, const acb_t x, const fmpz_t c, long prec)
+    void acb_cube(acb_t y, const acb_t x, long prec)
+    void acb_pow_fmpz(acb_t y, const acb_t b, const fmpz_t e, long prec)
+    void acb_pow_ui(acb_t y, const acb_t b, ulong e, long prec)
+    void acb_pow_si(acb_t y, const acb_t b, long e, long prec)
+    void acb_const_pi(acb_t x, long prec)
+    void acb_log(acb_t r, const acb_t z, long prec)
+    void acb_exp(acb_t r, const acb_t z, long prec)
+    void acb_exp_pi_i(acb_t r, const acb_t z, long prec)
+    void acb_sin(acb_t r, const acb_t z, long prec)
+    void acb_cos(acb_t r, const acb_t z, long prec)
+    void acb_sin_cos(acb_t s, acb_t c, const acb_t z, long prec)
+    void acb_tan(acb_t r, const acb_t z, long prec)
+    void acb_cot(acb_t r, const acb_t z, long prec)
+    void acb_sec(acb_t r, const acb_t z, long prec)
+    void acb_csc(acb_t r, const acb_t z, long prec)
+    void acb_sin_pi(acb_t r, const acb_t z, long prec)
+    void acb_cos_pi(acb_t r, const acb_t z, long prec)
+    void acb_sin_cos_pi(acb_t s, acb_t c, const acb_t z, long prec)
+    void acb_tan_pi(acb_t r, const acb_t z, long prec)
+    void acb_cot_pi(acb_t r, const acb_t z, long prec)
+    void acb_sinh(acb_t r, const acb_t z, long prec)
+    void acb_cosh(acb_t r, const acb_t z, long prec)
+    void acb_sinh_cosh(acb_t s, acb_t c, const acb_t z, long prec)
+    void acb_tanh(acb_t r, const acb_t z, long prec)
+    void acb_coth(acb_t r, const acb_t z, long prec)
+    void acb_sech(acb_t r, const acb_t z, long prec)
+    void acb_csch(acb_t r, const acb_t z, long prec)
+    void acb_sinc(acb_t r, const acb_t z, long prec)
+    void acb_sinc_pi(acb_t r, const acb_t z, long prec)
+    void acb_pow_arb(acb_t z, const acb_t x, const arb_t y, long prec)
+    void acb_pow(acb_t r, const acb_t x, const acb_t y, long prec)
+    void acb_sqrt(acb_t y, const acb_t x, long prec)
+    void acb_rsqrt(acb_t y, const acb_t x, long prec)
+    void acb_rising_ui_bs(acb_t y, const acb_t x, ulong n, long prec)
+    void acb_rising_ui_rs(acb_t y, const acb_t x, ulong n, ulong m, long prec)
+    void acb_rising_ui_rec(acb_t y, const acb_t x, ulong n, long prec)
+    void acb_rising_ui(acb_t z, const acb_t x, ulong n, long prec)
+    void acb_rising2_ui_bs(acb_t u, acb_t v, const acb_t x, ulong n, long prec)
+    void acb_rising2_ui_rs(acb_t u, acb_t v, const acb_t x, ulong n, ulong m, long prec)
+    void acb_rising2_ui(acb_t u, acb_t v, const acb_t x, ulong n, long prec)
+    void acb_rising_ui_get_mag(mag_t bound, const acb_t s, ulong n)
+    void acb_rising(acb_t y, const acb_t x, const acb_t n, long prec)
+
+    void acb_gamma(acb_t y, const acb_t x, long prec)
+    void acb_rgamma(acb_t y, const acb_t x, long prec)
+    void acb_lgamma(acb_t y, const acb_t x, long prec)
+    void acb_digamma(acb_t y, const acb_t x, long prec)
+    void acb_zeta(acb_t z, const acb_t s, long prec)
+    void acb_hurwitz_zeta(acb_t z, const acb_t s, const acb_t a, long prec)
+    void acb_polylog(acb_t w, const acb_t s, const acb_t z, long prec)
+    void acb_polylog_si(acb_t w, long s, const acb_t z, long prec)
+    void acb_agm1(acb_t m, const acb_t z, long prec)
+    void acb_agm1_cpx(acb_ptr m, const acb_t z, long len, long prec)
+    void acb_agm(acb_t res, const acb_t a, const acb_t b, long prec)
+    void acb_expm1(acb_t r, const acb_t z, long prec)
+    void acb_log1p(acb_t r, const acb_t z, long prec)
+    void acb_asin(acb_t r, const acb_t z, long prec)
+    void acb_acos(acb_t r, const acb_t z, long prec)
+    void acb_atan(acb_t r, const acb_t z, long prec)
+    void acb_asinh(acb_t r, const acb_t z, long prec)
+    void acb_acosh(acb_t r, const acb_t z, long prec)
+    void acb_atanh(acb_t r, const acb_t z, long prec)
+    void acb_log_sin_pi(acb_t res, const acb_t z, long prec)
+
+    void acb_polygamma(acb_t w, const acb_t s, const acb_t z, long prec)
+    void acb_log_barnes_g(acb_t w, const acb_t z, long prec)
+    void acb_barnes_g(acb_t w, const acb_t z, long prec)
+
+    void acb_bernoulli_poly_ui(acb_t res, ulong n, const acb_t x, long prec)
+
+    void acb_lambertw(acb_t z, const acb_t x, const fmpz_t k, int flags, long prec)
+
+    long acb_rel_error_bits(const acb_t x)
+    long acb_rel_accuracy_bits(const acb_t x)
+    long acb_bits(const acb_t x)
+
+    void acb_root_ui(acb_t z, const acb_t x, ulong k, long prec)

src/flint/flintlib/acb_calc.pxd

@@ -0,0 +1,22 @@
+from flint.flintlib.acb cimport acb_t, acb_ptr
+from flint.flintlib.mag cimport mag_t
+
+cdef extern from "acb_calc.h":
+    ctypedef int (*acb_calc_func_t)(acb_ptr out, const acb_t inp, void * param, long order, long prec)
+
+    ctypedef struct acb_calc_integrate_opt_struct:
+        long deg_limit
+        long eval_limit
+        long depth_limit
+        int use_heap
+        int verbose
+
+    ctypedef acb_calc_integrate_opt_struct acb_calc_integrate_opt_t[1]
+
+    void acb_calc_integrate_opt_init(acb_calc_integrate_opt_t options)
+
+    int acb_calc_integrate(acb_t res, acb_calc_func_t f, void * param,
+        const acb_t a, const acb_t b,
+        long goal, const mag_t tol,
+        const acb_calc_integrate_opt_t options,
+        long prec)

src/flint/flintlib/acb_dft.pxd

@@ -0,0 +1,5 @@
+from flint.flintlib.acb cimport acb_ptr, acb_srcptr
+
+cdef extern from "acb_dft.h":
+    void acb_dft(acb_ptr w, acb_srcptr v, long n, long prec)
+    void acb_dft_inverse(acb_ptr w, acb_srcptr v, long n, long prec)

src/flint/flintlib/acb_dirichlet.pxd

@@ -0,0 +1,24 @@
+from flint.flintlib.acb cimport acb_t, acb_ptr
+from flint.flintlib.dirichlet cimport dirichlet_group_t, dirichlet_char_t
+from flint._flint cimport ulong
+from flint.flintlib.acb_poly cimport acb_poly_t
+from flint.flintlib.fmpz cimport fmpz_t
+from flint.flintlib.arb cimport arb_t
+
+
+cdef extern from "acb_dirichlet.h":
+    void acb_dirichlet_eta(acb_t res, const acb_t s, long prec)
+    void acb_dirichlet_chi(acb_t res, const dirichlet_group_t G, const dirichlet_char_t chi, ulong n, long prec)
+
+    void acb_dirichlet_l(acb_t res, const acb_t s, const dirichlet_group_t G, const dirichlet_char_t chi, long prec)
+    void acb_dirichlet_hardy_z(acb_ptr res, const acb_t t, const dirichlet_group_t G, const dirichlet_char_t chi, long len, long prec)
+    void acb_dirichlet_l_series(acb_poly_t res, const acb_poly_t s, const dirichlet_group_t G, const dirichlet_char_t chi, int deflate, long len, long prec)
+
+    void acb_dirichlet_stieltjes(acb_t res, const fmpz_t n, const acb_t a, long prec)
+
+    void acb_dirichlet_gram_point(arb_t res, const fmpz_t n, const dirichlet_group_t G, const dirichlet_char_t chi, long prec)
+    void acb_dirichlet_zeta_zeros(acb_ptr res, const fmpz_t n, long len, long prec)
+    void acb_dirichlet_zeta_nzeros(arb_t res, const arb_t t, long prec)
+    void acb_dirichlet_backlund_s(arb_t res, const arb_t t, long prec)
+    void acb_dirichlet_zeta_zero(acb_t res, const fmpz_t n, long prec)
+    void acb_dirichlet_zeta_zeros(acb_ptr res, const fmpz_t n, long len, long prec)

src/flint/flintlib/acb_elliptic.pxd

@@ -0,0 +1,16 @@
+from flint.flintlib.acb cimport acb_t
+
+cdef extern from "acb_elliptic.h":
+    void acb_elliptic_rf(acb_t res, const acb_t x, const acb_t y, const acb_t z, int flags, long prec)
+    void acb_elliptic_rj(acb_t res, const acb_t x, const acb_t y, const acb_t z, const acb_t p, int flags, long prec)
+    void acb_elliptic_rg(acb_t res, const acb_t x, const acb_t y, const acb_t z, int flags, long prec)
+    void acb_elliptic_f(acb_t res, const acb_t phi, const acb_t m, int times_pi, long prec)
+    void acb_elliptic_e_inc(acb_t res, const acb_t phi, const acb_t m, int times_pi, long prec)
+    void acb_elliptic_pi(acb_t res, const acb_t n, const acb_t m, long prec)
+    void acb_elliptic_pi_inc(acb_t res, const acb_t n, const acb_t phi, const acb_t m, int times_pi, long prec)
+    void acb_elliptic_p(acb_t res, const acb_t z, const acb_t tau, long prec)
+    void acb_elliptic_zeta(acb_t res, const acb_t z, const acb_t tau, long prec)
+    void acb_elliptic_sigma(acb_t res, const acb_t z, const acb_t tau, long prec)
+    void acb_elliptic_roots(acb_t e1, acb_t e2, acb_t e3, const acb_t tau, long prec)
+    void acb_elliptic_invariants(acb_t g2, acb_t g3, const acb_t tau, long prec)
+    void acb_elliptic_inv_p(acb_t res, const acb_t z, const acb_t tau, long prec)