aboutsummaryrefslogtreecommitdiff
path: root/src/d2s_intrinsics.rs
blob: 918ccab29879da5600f49be1e929d6f4b580a83a (plain)
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
// 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;

// Returns (lo, hi).
#[cfg(not(integer128))]
#[cfg_attr(feature = "no-panic", inline)]
pub fn umul128(a: u64, b: u64) -> (u64, u64) {
    let a_lo = a as u32;
    let a_hi = (a >> 32) as u32;
    let b_lo = b as u32;
    let b_hi = (b >> 32) as u32;

    let b00 = a_lo as u64 * b_lo as u64;
    let b01 = a_lo as u64 * b_hi as u64;
    let b10 = a_hi as u64 * b_lo as u64;
    let b11 = a_hi as u64 * b_hi as u64;

    let b00_lo = b00 as u32;
    let b00_hi = (b00 >> 32) as u32;

    let mid1 = b10 + b00_hi as u64;
    let mid1_lo = mid1 as u32;
    let mid1_hi = (mid1 >> 32) as u32;

    let mid2 = b01 + mid1_lo as u64;
    let mid2_lo = mid2 as u32;
    let mid2_hi = (mid2 >> 32) as u32;

    let p_hi = b11 + mid1_hi as u64 + mid2_hi as u64;
    let p_lo = ((mid2_lo as u64) << 32) | b00_lo as u64;

    (p_lo, p_hi)
}

#[cfg(not(integer128))]
#[cfg_attr(feature = "no-panic", inline)]
pub fn shiftright128(lo: u64, hi: u64, dist: u32) -> u64 {
    // We don't need to handle the case dist >= 64 here (see above).
    debug_assert!(dist > 0);
    debug_assert!(dist < 64);
    (hi << (64 - dist)) | (lo >> dist)
}

#[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)]
fn pow5_factor(mut value: u64) -> u32 {
    let mut count = 0u32;
    loop {
        debug_assert!(value != 0);
        let q = div5(value);
        let r = (value as u32).wrapping_sub(5u32.wrapping_mul(q as u32));
        if r != 0 {
            break;
        }
        value = q;
        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(integer128)]
#[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(integer128)]
#[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)
}

#[cfg(not(integer128))]
#[cfg_attr(feature = "no-panic", inline)]
pub unsafe fn mul_shift_all_64(
    mut m: u64,
    mul: &(u64, u64),
    j: u32,
    vp: *mut u64,
    vm: *mut u64,
    mm_shift: u32,
) -> u64 {
    m <<= 1;
    // m is maximum 55 bits
    let (lo, tmp) = umul128(m, mul.0);
    let (mut mid, mut hi) = umul128(m, mul.1);
    mid = mid.wrapping_add(tmp);
    hi = hi.wrapping_add((mid < tmp) as u64); // overflow into hi

    let lo2 = lo.wrapping_add(mul.0);
    let mid2 = mid.wrapping_add(mul.1).wrapping_add((lo2 < lo) as u64);
    let hi2 = hi.wrapping_add((mid2 < mid) as u64);
    ptr::write(vp, shiftright128(mid2, hi2, j - 64 - 1));

    if mm_shift == 1 {
        let lo3 = lo.wrapping_sub(mul.0);
        let mid3 = mid.wrapping_sub(mul.1).wrapping_sub((lo3 > lo) as u64);
        let hi3 = hi.wrapping_sub((mid3 > mid) as u64);
        ptr::write(vm, shiftright128(mid3, hi3, j - 64 - 1));
    } else {
        let lo3 = lo + lo;
        let mid3 = mid.wrapping_add(mid).wrapping_add((lo3 < lo) as u64);
        let hi3 = hi.wrapping_add(hi).wrapping_add((mid3 < mid) as u64);
        let lo4 = lo3.wrapping_sub(mul.0);
        let mid4 = mid3.wrapping_sub(mul.1).wrapping_sub((lo4 > lo3) as u64);
        let hi4 = hi3.wrapping_sub((mid4 > mid3) as u64);
        ptr::write(vm, shiftright128(mid4, hi4, j - 64));
    }

    shiftright128(mid, hi, j - 64 - 1)
}