1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
#![allow(non_camel_case_types)]
#![allow(non_snake_case)]

//! See the [FLINT documentation](http://flintlib.org/doc/fmpz_factor.html).

use crate::deps::*;
use crate::flint::*;
use crate::fmpz::fmpz;
use libc::{c_int, c_uchar};

#[repr(C)]
#[derive(Debug, Copy, Clone)]
pub struct fmpz_factor_struct {
    pub sign: c_int,
    pub p: *mut fmpz,
    pub exp: *mut mp_limb_t,
    pub alloc: mp_limb_signed_t,
    pub num: mp_limb_signed_t,
}

pub type fmpz_factor_t = [fmpz_factor_struct; 1usize];

#[repr(C)]
#[derive(Debug, Copy, Clone)]
pub struct ecm_s {
    pub t: mp_ptr,
    pub u: mp_ptr,
    pub v: mp_ptr,
    pub w: mp_ptr,
    pub x: mp_ptr,
    pub z: mp_ptr,
    pub a24: mp_ptr,
    pub ninv: mp_ptr,
    pub one: mp_ptr,
    pub GCD_table: *mut c_uchar,
    pub prime_table: *mut *mut c_uchar,
    pub n_size: mp_limb_t,
    pub normbits: mp_limb_t,
}

pub type ecm_t = [ecm_s; 1usize];

extern "C" {
    pub fn fmpz_factor_init(factor: *mut fmpz_factor_struct);
    pub fn fmpz_factor_clear(factor: *mut fmpz_factor_struct);
    pub fn fmpz_factor_print(factor: *const fmpz_factor_struct);
    pub fn _fmpz_factor_fit_length(factor: *mut fmpz_factor_struct, len: mp_limb_signed_t);
    pub fn _fmpz_factor_append_ui(factor: *mut fmpz_factor_struct, p: mp_limb_t, exp: mp_limb_t);
    pub fn _fmpz_factor_append(factor: *mut fmpz_factor_struct, p: *const fmpz, exp: mp_limb_t);
    pub fn _fmpz_factor_set_length(factor: *mut fmpz_factor_struct, newlen: mp_limb_signed_t);
    pub fn _fmpz_factor_concat(
        factor1: *mut fmpz_factor_struct,
        factor2: *const fmpz_factor_struct,
        exp: mp_limb_t,
    );
    pub fn _fmpz_factor_extend_factor_ui(factor: *mut fmpz_factor_struct, n: mp_limb_t);
    pub fn fmpz_factor_trial_range(
        factor: *mut fmpz_factor_struct,
        n: *const fmpz,
        start: mp_limb_t,
        num_primes: mp_limb_t,
    ) -> c_int;
    pub fn fmpz_factor_trial(
        factor: *mut fmpz_factor_struct,
        n: *const fmpz,
        num_primes: mp_limb_signed_t,
    ) -> c_int;
    pub fn fmpz_factor(factor: *mut fmpz_factor_struct, n: *const fmpz);
    pub fn fmpz_factor_no_trial(factor: *mut fmpz_factor_struct, n: *const fmpz);
    pub fn fmpz_factor_smooth(
        factor: *mut fmpz_factor_struct,
        n: *const fmpz,
        bits: mp_limb_signed_t,
        proved: c_int,
    ) -> c_int;
    pub fn fmpz_factor_si(factor: *mut fmpz_factor_struct, n: mp_limb_signed_t);
    pub fn fmpz_factor_pp1(
        factor: *mut fmpz,
        n: *const fmpz,
        B1: mp_limb_t,
        B2_sqrt: mp_limb_t,
        c: mp_limb_t,
    ) -> c_int;
    pub fn fmpz_factor_refine(res: *mut fmpz_factor_struct, f: *const fmpz_factor_struct);
    pub fn flint_mpn_sqr_and_add_a(
        y: mp_ptr,
        a: mp_ptr,
        n: mp_ptr,
        n_size: mp_limb_t,
        ninv: mp_ptr,
        normbits: mp_limb_t,
    );
    pub fn flint_mpn_factor_pollard_brent_single(
        factor: mp_ptr,
        n: mp_ptr,
        ninv: mp_ptr,
        a: mp_ptr,
        y: mp_ptr,
        n_size: mp_limb_t,
        normbits: mp_limb_t,
        max_iters: mp_limb_t,
    ) -> c_int;
    pub fn fmpz_factor_pollard_brent_single(
        p_factor: *mut fmpz,
        n_in: *const fmpz,
        yi: *const fmpz,
        ai: *const fmpz,
        max_iters: mp_limb_t,
    ) -> c_int;
    pub fn fmpz_factor_pollard_brent(
        factor: *mut fmpz,
        state: *const flint_rand_s,
        n: *const fmpz,
        max_tries: mp_limb_t,
        max_iters: mp_limb_t,
    ) -> c_int;
    pub fn fmpz_factor_expand_iterative(n: *mut fmpz, factor: *const fmpz_factor_struct);
    pub fn fmpz_factor_expand_multiexp(n: *mut fmpz, factor: *const fmpz_factor_struct);
    pub fn fmpz_factor_expand(n: *mut fmpz, factor: *const fmpz_factor_struct);
    pub fn fmpz_factor_euler_phi(res: *mut fmpz, fac: *const fmpz_factor_struct);
    pub fn fmpz_factor_moebius_mu(fac: *const fmpz_factor_struct) -> c_int;
    pub fn fmpz_factor_divisor_sigma(res: *mut fmpz, fac: *const fmpz_factor_struct, k: mp_limb_t);
    pub fn fmpz_factor_ecm_init(ecm_inf: *mut ecm_s, sz: mp_limb_t);
    pub fn fmpz_factor_ecm_clear(ecm_inf: *mut ecm_s);
    pub fn fmpz_factor_ecm_addmod(a: mp_ptr, b: mp_ptr, c: mp_ptr, n: mp_ptr, n_size: mp_limb_t);
    pub fn fmpz_factor_ecm_submod(x: mp_ptr, a: mp_ptr, b: mp_ptr, n: mp_ptr, n_size: mp_limb_t);
    pub fn fmpz_factor_ecm_double(
        x: mp_ptr,
        z: mp_ptr,
        x0: mp_ptr,
        z0: mp_ptr,
        n: mp_ptr,
        ecm_inf: *const ecm_s,
    );
    pub fn fmpz_factor_ecm_add(
        x: mp_ptr,
        z: mp_ptr,
        x1: mp_ptr,
        z1: mp_ptr,
        x2: mp_ptr,
        z2: mp_ptr,
        x0: mp_ptr,
        z0: mp_ptr,
        n: mp_ptr,
        ecm_inf: *const ecm_s,
    );
    pub fn fmpz_factor_ecm_mul_montgomery_ladder(
        x: mp_ptr,
        z: mp_ptr,
        x0: mp_ptr,
        z0: mp_ptr,
        k: mp_limb_t,
        n: mp_ptr,
        ecm_inf: *const ecm_s,
    );
    pub fn fmpz_factor_ecm_select_curve(
        f: mp_ptr,
        sig: mp_ptr,
        n: mp_ptr,
        ecm_inf: *const ecm_s,
    ) -> c_int;
    pub fn fmpz_factor_ecm_stage_I(
        f: mp_ptr,
        prime_array: *const mp_limb_t,
        num: mp_limb_t,
        B1: mp_limb_t,
        n: mp_ptr,
        ecm_inf: *const ecm_s,
    ) -> c_int;
    pub fn fmpz_factor_ecm_stage_II(
        f: mp_ptr,
        B1: mp_limb_t,
        B2: mp_limb_t,
        P: mp_limb_t,
        n: mp_ptr,
        ecm_inf: *const ecm_s,
    ) -> c_int;
    pub fn fmpz_factor_ecm(
        f: *mut fmpz,
        curves: mp_limb_t,
        B1: mp_limb_t,
        B2: mp_limb_t,
        state: *const flint_rand_s,
        n_in: *const fmpz,
    ) -> c_int;
    pub fn fmpz_factor_get_fmpz(
        z: *mut fmpz,
        factor: *const fmpz_factor_struct,
        i: mp_limb_signed_t,
    );
}