pxfm 0.1.29

Fast and accurate math
Documentation 
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

/*
 * // Copyright (c) Radzivon Bartoshyk 9/2025. All rights reserved.
 * //
 * // Redistribution and use in source and binary forms, with or without modification,
 * // are permitted provided that the following conditions are met:
 * //
 * // 1.  Redistributions of source code must retain the above copyright notice, this
 * // list of conditions and the following disclaimer.
 * //
 * // 2.  Redistributions in binary form must reproduce the above copyright notice,
 * // this list of conditions and the following disclaimer in the documentation
 * // and/or other materials provided with the distribution.
 * //
 * // 3.  Neither the name of the copyright holder nor the names of its
 * // contributors may be used to endorse or promote products derived from
 * // this software without specific prior written permission.
 * //
 * // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
 * // AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
 * // DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
 * // FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
 * // DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
 * // SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
 * // CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
 * // OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
 * // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 */

#[inline]
pub const fn ceilf(x: f32) -> f32 {
    /* Use generic implementation.  */
    let mut i0: i32 = x.to_bits() as i32;
    let j0 = ((i0 >> 23) & 0xff) - 0x7f;
    if j0 < 23 {
        if j0 < 0 {
            /* return 0 * sign (x) if |x| < 1  */
            if i0 < 0 {
                i0 = 0x80000000u32 as i32;
            } else if i0 != 0 {
                i0 = 0x3f800000u32 as i32;
            }
        } else {
            let i = (0x007fffff) >> j0;
            if (i0 & i) == 0 {
                return x; /* x is integral  */
            }
            if i0 > 0 {
                i0 = i0.wrapping_add((0x00800000) >> j0);
            }
            i0 &= !i;
        }
    } else {
        return if j0 == 0x80 {
            x + x /* inf or NaN  */
        } else {
            x /* x is integral  */
        };
    }
    f32::from_bits(i0 as u32)
}

#[inline]
pub const fn ceil(x: f64) -> f64 {
    let mut i0: i64 = x.to_bits() as i64;
    let j0: i32 = (((i0 >> 52) & 0x7ff) - 0x3ff) as i32;
    if j0 <= 51 {
        if j0 < 0 {
            /* return 0 * sign(x) if |x| < 1  */
            if i0 < 0 {
                i0 = 0x8000000000000000u64 as i64;
            } else if i0 != 0 {
                i0 = 0x3ff0000000000000u64 as i64;
            }
        } else {
            let i = (0x000fffffffffffffu64 as i64) >> j0;
            if (i0 & i) == 0 {
                return x; /* x is integral  */
            }
            if i0 > 0 {
                i0 = i0.wrapping_add((0x0010000000000000u64 >> j0) as i64);
            }
            i0 &= !i;
        }
    } else {
        return if j0 == 0x400 {
            x + x /* inf or NaN  */
        } else {
            x /* x is integral  */
        };
    }
    f64::from_bits(i0 as u64)
}

pub(crate) trait CpuCeil {
    fn cpu_ceil(self) -> Self;
}

impl CpuCeil for f32 {
    #[inline]
    fn cpu_ceil(self) -> Self {
        #[cfg(any(
            all(
                any(target_arch = "x86", target_arch = "x86_64"),
                target_feature = "sse4.1"
            ),
            target_arch = "aarch64"
        ))]
        {
            self.ceil()
        }
        #[cfg(not(any(
            all(
                any(target_arch = "x86", target_arch = "x86_64"),
                target_feature = "sse4.1"
            ),
            target_arch = "aarch64"
        )))]
        {
            ceilf(self)
        }
    }
}

impl CpuCeil for f64 {
    #[inline]
    fn cpu_ceil(self) -> Self {
        #[cfg(any(
            all(
                any(target_arch = "x86", target_arch = "x86_64"),
                target_feature = "sse4.1"
            ),
            target_arch = "aarch64"
        ))]
        {
            self.ceil()
        }
        #[cfg(not(any(
            all(
                any(target_arch = "x86", target_arch = "x86_64"),
                target_feature = "sse4.1"
            ),
            target_arch = "aarch64"
        )))]
        {
            ceil(self)
        }
    }
}

#[cfg(test)]
mod tests {
    use super::*;

    #[test]
    fn test_ceilf() {
        assert_eq!(ceilf(0.0), 0.0);
        assert_eq!(ceilf(10.0), 10.0);
        assert_eq!(ceilf(10.1), 11.0);
        assert_eq!(ceilf(-9.0), -9.0);
        assert_eq!(ceilf(-9.5), -9.0);
    }

    #[test]
    fn test_ceil() {
        assert_eq!(ceil(0.0), 0.0);
        assert_eq!(ceil(10.0), 10.0);
        assert_eq!(ceil(10.1), 11.0);
        assert_eq!(ceil(-9.0), -9.0);
        assert_eq!(ceil(-9.5), -9.0);
    }
}