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
// Translated from C to Rust. The original C code can be found at
// https://github.com/ulfjack/ryu and carries the following license:
//
// Copyright 2018 Ulf Adams
//
// The contents of this file may be used under the terms of the Apache License,
// Version 2.0.
//
//    (See accompanying file LICENSE-Apache or copy at
//     http://www.apache.org/licenses/LICENSE-2.0)
//
// Alternatively, the contents of this file may be used under the terms of
// the Boost Software License, Version 1.0.
//    (See accompanying file LICENSE-Boost or copy at
//     https://www.boost.org/LICENSE_1_0.txt)
//
// Unless required by applicable law or agreed to in writing, this software
// is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
// KIND, either express or implied.

use core::ptr;

#[cfg_attr(feature = "no-panic", inline)]
pub fn div5(x: u64) -> u64 {
    x / 5
}

#[cfg_attr(feature = "no-panic", inline)]
pub fn div10(x: u64) -> u64 {
    x / 10
}

#[cfg_attr(feature = "no-panic", inline)]
pub fn div100(x: u64) -> u64 {
    x / 100
}

#[cfg_attr(feature = "no-panic", inline)]
pub(crate) fn pow5_factor(mut value: u64) -> u32 {
    const M_INV_5: u64 = 14757395258967641293; // 5 * m_inv_5 = 1 (mod 2^64)
    const N_DIV_5: u64 = 3689348814741910323; // #{ n | n = 0 (mod 2^64) } = 2^64 / 5
    let mut count = 0u32;
    loop {
        debug_assert!(value != 0);
        value = value.wrapping_mul(M_INV_5);
        if value > N_DIV_5 {
            break;
        }
        count += 1;
    }
    count
}

// Returns true if value is divisible by 5^p.
#[cfg_attr(feature = "no-panic", inline)]
pub fn multiple_of_power_of_5(value: u64, p: u32) -> bool {
    // I tried a case distinction on p, but there was no performance difference.
    pow5_factor(value) >= p
}

// Returns true if value is divisible by 2^p.
#[cfg_attr(feature = "no-panic", inline)]
pub fn multiple_of_power_of_2(value: u64, p: u32) -> bool {
    debug_assert!(value != 0);
    debug_assert!(p < 64);
    // __builtin_ctzll doesn't appear to be faster here.
    (value & ((1u64 << p) - 1)) == 0
}

#[cfg_attr(feature = "no-panic", inline)]
pub fn mul_shift_64(m: u64, mul: &(u64, u64), j: u32) -> u64 {
    let b0 = m as u128 * mul.0 as u128;
    let b2 = m as u128 * mul.1 as u128;
    (((b0 >> 64) + b2) >> (j - 64)) as u64
}

#[cfg_attr(feature = "no-panic", inline)]
pub unsafe fn mul_shift_all_64(
    m: u64,
    mul: &(u64, u64),
    j: u32,
    vp: *mut u64,
    vm: *mut u64,
    mm_shift: u32,
) -> u64 {
    ptr::write(vp, mul_shift_64(4 * m + 2, mul, j));
    ptr::write(vm, mul_shift_64(4 * m - 1 - mm_shift as u64, mul, j));
    mul_shift_64(4 * m, mul, j)
}