1#![allow(non_camel_case_types)]
2
3use flint_sys::deps::*;
6use flint_sys::fmpq::fmpq;
7use flint_sys::fmpq_poly::fmpq_poly_struct;
8use flint_sys::fmpz::fmpz;
9use flint_sys::fmpz_mat::fmpz_mat_struct;
10use flint_sys::fmpz_poly::fmpz_poly_struct;
11use flint_sys::nmod_vec::nmod_t;
12
13#[repr(C)]
14#[derive(Debug, Copy, Clone)]
15pub struct trig_prod_struct {
16 pub n: ::std::os::raw::c_int,
17 pub prefactor: ::std::os::raw::c_int,
18 pub sqrt_p: mp_limb_t,
19 pub sqrt_q: mp_limb_t,
20 pub cos_p: [mp_limb_signed_t; 64usize],
21 pub cos_q: [mp_limb_t; 64usize],
22}
23
24pub type trig_prod_t = [trig_prod_struct; 1usize];
25
26extern "C" {
27 pub static mut bell_number_tab: [mp_limb_t; 0usize];
28 pub static euler_number_small: [mp_limb_t; 13usize];
29 pub static _bernoulli_numer_small: [mp_limb_signed_t; 18usize];
30 pub static partitions_lookup: [::std::os::raw::c_uint; 128usize];
31 pub fn mpfr_zeta_inv_euler_product(
32 res: *mut __mpfr_struct,
33 s: mp_limb_t,
34 char_4: ::std::os::raw::c_int,
35 );
36 pub fn _arith_harmonic_number(num: *mut fmpz, den: *mut fmpz, n: mp_limb_signed_t);
37 pub fn arith_harmonic_number(x: *mut fmpq, n: mp_limb_signed_t);
38 pub fn arith_ramanujan_tau(res: *mut fmpz, n: *mut fmpz);
39 pub fn arith_ramanujan_tau_series(res: *mut fmpz_poly_struct, n: mp_limb_signed_t);
40 pub fn arith_divisors(res: *mut fmpz_poly_struct, n: *mut fmpz);
41 pub fn arith_stirling_number_1u(s: *mut fmpz, n: mp_limb_signed_t, k: mp_limb_signed_t);
42 pub fn arith_stirling_number_1(s: *mut fmpz, n: mp_limb_signed_t, k: mp_limb_signed_t);
43 pub fn arith_stirling_number_2(s: *mut fmpz, n: mp_limb_signed_t, k: mp_limb_signed_t);
44 pub fn arith_stirling_number_1u_vec(
45 row: *mut fmpz,
46 n: mp_limb_signed_t,
47 klen: mp_limb_signed_t,
48 );
49 pub fn arith_stirling_number_1_vec(row: *mut fmpz, n: mp_limb_signed_t, klen: mp_limb_signed_t);
50 pub fn arith_stirling_number_2_vec(row: *mut fmpz, n: mp_limb_signed_t, klen: mp_limb_signed_t);
51 pub fn arith_stirling_number_1u_vec_next(
52 row: *mut fmpz,
53 prev: *const fmpz,
54 n: mp_limb_signed_t,
55 klen: mp_limb_signed_t,
56 );
57 pub fn arith_stirling_number_1_vec_next(
58 row: *mut fmpz,
59 prev: *const fmpz,
60 n: mp_limb_signed_t,
61 klen: mp_limb_signed_t,
62 );
63 pub fn arith_stirling_number_2_vec_next(
64 row: *mut fmpz,
65 prev: *const fmpz,
66 n: mp_limb_signed_t,
67 klen: mp_limb_signed_t,
68 );
69 pub fn arith_stirling_matrix_1u(mat: *mut fmpz_mat_struct);
70 pub fn arith_stirling_matrix_1(mat: *mut fmpz_mat_struct);
71 pub fn arith_stirling_matrix_2(mat: *mut fmpz_mat_struct);
72 pub fn arith_bell_number_size(n: mp_limb_t) -> f64;
73 pub fn arith_bell_number(b: *mut fmpz, n: mp_limb_t);
74 pub fn arith_bell_number_bsplit(res: *mut fmpz, n: mp_limb_t);
75 pub fn arith_bell_number_multi_mod(res: *mut fmpz, n: mp_limb_t);
76 pub fn arith_bell_number_vec(b: *mut fmpz, n: mp_limb_signed_t);
77 pub fn arith_bell_number_vec_recursive(b: *mut fmpz, n: mp_limb_signed_t);
78 pub fn arith_bell_number_vec_multi_mod(b: *mut fmpz, n: mp_limb_signed_t);
79 pub fn arith_bell_number_nmod(n: mp_limb_t, mod_: nmod_t) -> mp_limb_t;
80 pub fn arith_bell_number_nmod_vec(b: mp_ptr, n: mp_limb_signed_t, mod_: nmod_t);
81 pub fn arith_bell_number_nmod_vec_recursive(b: mp_ptr, n: mp_limb_signed_t, mod_: nmod_t);
82 pub fn arith_bell_number_nmod_vec_series(b: mp_ptr, n: mp_limb_signed_t, mod_: nmod_t);
83 pub fn arith_euler_number_size(n: mp_limb_t) -> f64;
84 pub fn arith_euler_number_vec(res: *mut fmpz, n: mp_limb_signed_t);
85 pub fn _arith_euler_number_zeta(res: *mut fmpz, n: mp_limb_t);
86 pub fn arith_euler_number(res: *mut fmpz, n: mp_limb_t);
87 pub fn arith_euler_polynomial(poly: *mut fmpq_poly_struct, n: mp_limb_t);
88 pub fn _arith_bernoulli_number(num: *mut fmpz, den: *mut fmpz, n: mp_limb_t);
89 pub fn arith_bernoulli_number(x: *mut fmpq, n: mp_limb_t);
90 pub fn _arith_bernoulli_number_vec(num: *mut fmpz, den: *mut fmpz, n: mp_limb_signed_t);
91 pub fn arith_bernoulli_number_vec(num: *mut fmpq, n: mp_limb_signed_t);
92 pub fn arith_bernoulli_number_denom(den: *mut fmpz, n: mp_limb_t);
93 pub fn arith_bernoulli_number_size(n: mp_limb_t) -> f64;
94 pub fn arith_bernoulli_polynomial(poly: *mut fmpq_poly_struct, n: mp_limb_t);
95 pub fn _arith_bernoulli_number_zeta(num: *mut fmpz, den: *mut fmpz, n: mp_limb_t);
96 pub fn _arith_bernoulli_number_vec_multi_mod(
97 num: *mut fmpz,
98 den: *mut fmpz,
99 n: mp_limb_signed_t,
100 );
101 pub fn _arith_bernoulli_number_vec_recursive(
102 num: *mut fmpz,
103 den: *mut fmpz,
104 n: mp_limb_signed_t,
105 );
106 pub fn _arith_bernoulli_number_vec_zeta(num: *mut fmpz, den: *mut fmpz, n: mp_limb_signed_t);
107 pub fn _arith_cos_minpoly(coeffs: *mut fmpz, d: mp_limb_signed_t, n: mp_limb_t);
108 pub fn arith_cos_minpoly(poly: *mut fmpz_poly_struct, n: mp_limb_t);
109 pub fn arith_landau_function_vec(res: *mut fmpz, len: mp_limb_signed_t);
110 pub fn arith_hrr_expsum_factored(prod: *mut trig_prod_struct, k: mp_limb_t, n: mp_limb_t);
111 pub fn arith_number_of_partitions_nmod_vec(res: mp_ptr, len: mp_limb_signed_t, mod_: nmod_t);
112 pub fn arith_number_of_partitions_vec(res: *mut fmpz, len: mp_limb_signed_t);
113 pub fn arith_number_of_partitions_mpfr(x: *mut __mpfr_struct, n: mp_limb_t);
114 pub fn arith_number_of_partitions(x: *mut fmpz, n: mp_limb_t);
115 pub fn arith_sum_of_squares(r: *mut fmpz, k: mp_limb_t, n: *mut fmpz);
116 pub fn arith_sum_of_squares_vec(r: *mut fmpz, k: mp_limb_t, n: mp_limb_signed_t);
117}