flint_sys/
arith.rs

1#![allow(non_camel_case_types)]
2
3//! *See the [FLINT documentation](http://flintlib.org/doc/arith.html).
4
5use crate::deps::*;
6use crate::fmpq::fmpq;
7use crate::fmpq_poly::fmpq_poly_struct;
8use crate::fmpz::fmpz;
9use crate::fmpz_mat::fmpz_mat_struct;
10use crate::fmpz_poly::fmpz_poly_struct;
11use libc::{c_int, c_uint};
12
13#[repr(C)]
14#[derive(Copy, Clone)]
15pub struct trig_prod_struct {
16    pub n: c_int,
17    pub prefactor: 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}
23pub type trig_prod_t = [trig_prod_struct; 1usize];
24
25extern "C" {
26    pub static mut bell_number_tab: [mp_limb_t; 0usize];
27    pub static euler_number_small: [mp_limb_t; 13usize];
28    pub static _bernoulli_numer_small: [mp_limb_signed_t; 18usize];
29    pub static partitions_lookup: [c_uint; 128usize];
30
31    pub fn mpfr_zeta_inv_euler_product(res: *mut __mpfr_struct, s: mp_limb_t, char_4: c_int);
32    pub fn _arith_harmonic_number(num: *mut fmpz, den: *mut fmpz, n: mp_limb_signed_t);
33    pub fn arith_harmonic_number(x: *mut fmpq, n: mp_limb_signed_t);
34    pub fn arith_ramanujan_tau(res: *mut fmpz, n: *mut fmpz);
35    pub fn arith_ramanujan_tau_series(res: *mut fmpz_poly_struct, n: mp_limb_signed_t);
36    pub fn arith_divisors(res: *mut fmpz_poly_struct, n: *mut fmpz);
37    pub fn arith_stirling_number_1u(s: *mut fmpz, n: mp_limb_signed_t, k: mp_limb_signed_t);
38    pub fn arith_stirling_number_1(s: *mut fmpz, n: mp_limb_signed_t, k: mp_limb_signed_t);
39    pub fn arith_stirling_number_2(s: *mut fmpz, n: mp_limb_signed_t, k: mp_limb_signed_t);
40    pub fn arith_stirling_number_1u_vec(
41        row: *mut fmpz,
42        n: mp_limb_signed_t,
43        klen: mp_limb_signed_t,
44    );
45    pub fn arith_stirling_number_1_vec(row: *mut fmpz, n: mp_limb_signed_t, klen: mp_limb_signed_t);
46    pub fn arith_stirling_number_2_vec(row: *mut fmpz, n: mp_limb_signed_t, klen: mp_limb_signed_t);
47    pub fn arith_stirling_number_1u_vec_next(
48        row: *mut fmpz,
49        prev: *const fmpz,
50        n: mp_limb_signed_t,
51        klen: mp_limb_signed_t,
52    );
53    pub fn arith_stirling_number_1_vec_next(
54        row: *mut fmpz,
55        prev: *const fmpz,
56        n: mp_limb_signed_t,
57        klen: mp_limb_signed_t,
58    );
59    pub fn arith_stirling_number_2_vec_next(
60        row: *mut fmpz,
61        prev: *const fmpz,
62        n: mp_limb_signed_t,
63        klen: mp_limb_signed_t,
64    );
65    pub fn arith_stirling_matrix_1u(mat: *mut fmpz_mat_struct);
66    pub fn arith_stirling_matrix_1(mat: *mut fmpz_mat_struct);
67    pub fn arith_stirling_matrix_2(mat: *mut fmpz_mat_struct);
68    pub fn arith_bell_number_size(n: mp_limb_t) -> f64;
69    pub fn arith_bell_number(b: *mut fmpz, n: mp_limb_t);
70    pub fn arith_bell_number_bsplit(res: *mut fmpz, n: mp_limb_t);
71    pub fn arith_bell_number_multi_mod(res: *mut fmpz, n: mp_limb_t);
72    pub fn arith_bell_number_vec(b: *mut fmpz, n: mp_limb_signed_t);
73    pub fn arith_bell_number_vec_recursive(b: *mut fmpz, n: mp_limb_signed_t);
74    pub fn arith_bell_number_vec_multi_mod(b: *mut fmpz, n: mp_limb_signed_t);
75    /*
76    pub fn arith_bell_number_nmod(n: mp_limb_t, mod_: nmod_t) -> mp_limb_t;
77    pub fn arith_bell_number_nmod_vec(b: mp_ptr, n: mp_limb_signed_t, mod_: nmod_t);
78    pub fn arith_bell_number_nmod_vec_recursive(b: mp_ptr, n: mp_limb_signed_t, mod_: nmod_t);
79    pub fn arith_bell_number_nmod_vec_series(b: mp_ptr, n: mp_limb_signed_t, mod_: nmod_t);
80    */
81    pub fn arith_euler_number_size(n: mp_limb_t) -> f64;
82    pub fn arith_euler_number_vec(res: *mut fmpz, n: mp_limb_signed_t);
83    pub fn _arith_euler_number_zeta(res: *mut fmpz, n: mp_limb_t);
84    pub fn arith_euler_number(res: *mut fmpz, n: mp_limb_t);
85    pub fn arith_euler_polynomial(poly: *mut fmpq_poly_struct, n: mp_limb_t);
86    pub fn _arith_bernoulli_number(num: *mut fmpz, den: *mut fmpz, n: mp_limb_t);
87    pub fn arith_bernoulli_number(x: *mut fmpq, n: mp_limb_t);
88    pub fn _arith_bernoulli_number_vec(num: *mut fmpz, den: *mut fmpz, n: mp_limb_signed_t);
89    pub fn arith_bernoulli_number_vec(num: *mut fmpq, n: mp_limb_signed_t);
90    pub fn arith_bernoulli_number_denom(den: *mut fmpz, n: mp_limb_t);
91    pub fn arith_bernoulli_number_size(n: mp_limb_t) -> f64;
92    pub fn arith_bernoulli_polynomial(poly: *mut fmpq_poly_struct, n: mp_limb_t);
93    pub fn _arith_bernoulli_number_zeta(num: *mut fmpz, den: *mut fmpz, n: mp_limb_t);
94    pub fn _arith_bernoulli_number_vec_multi_mod(
95        num: *mut fmpz,
96        den: *mut fmpz,
97        n: mp_limb_signed_t,
98    );
99    pub fn _arith_bernoulli_number_vec_recursive(
100        num: *mut fmpz,
101        den: *mut fmpz,
102        n: mp_limb_signed_t,
103    );
104    pub fn _arith_bernoulli_number_vec_zeta(num: *mut fmpz, den: *mut fmpz, n: mp_limb_signed_t);
105    pub fn _arith_cos_minpoly(coeffs: *mut fmpz, d: mp_limb_signed_t, n: mp_limb_t);
106    pub fn arith_cos_minpoly(poly: *mut fmpz_poly_struct, n: mp_limb_t);
107    pub fn arith_landau_function_vec(res: *mut fmpz, len: mp_limb_signed_t);
108    pub fn trig_prod_init(sum: *mut trig_prod_struct);
109    pub fn arith_hrr_expsum_factored(prod: *mut trig_prod_struct, k: mp_limb_t, n: mp_limb_t);
110    //pub fn arith_number_of_partitions_nmod_vec(res: mp_ptr, len: mp_limb_signed_t, mod_: nmod_t);
111    pub fn arith_number_of_partitions_vec(res: *mut fmpz, len: mp_limb_signed_t);
112    pub fn arith_number_of_partitions_mpfr(x: *mut __mpfr_struct, n: mp_limb_t);
113    pub fn arith_number_of_partitions(x: *mut fmpz, n: mp_limb_t);
114    pub fn arith_sum_of_squares(r: *mut fmpz, k: mp_limb_t, n: *mut fmpz);
115    pub fn arith_sum_of_squares_vec(r: *mut fmpz, k: mp_limb_t, n: mp_limb_signed_t);
116}
flint_sys/arith.rs

flint_sys/
arith.rs
