zig/lib/std/math/fabs.zig
Frank Denis 6c2e0c2046 Year++
2020-12-31 15:45:24 -08:00

107 lines
2.7 KiB
Zig

// SPDX-License-Identifier: MIT
// Copyright (c) 2015-2021 Zig Contributors
// This file is part of [zig](https://ziglang.org/), which is MIT licensed.
// The MIT license requires this copyright notice to be included in all copies
// and substantial portions of the software.
// Ported from musl, which is licensed under the MIT license:
// https://git.musl-libc.org/cgit/musl/tree/COPYRIGHT
//
// https://git.musl-libc.org/cgit/musl/tree/src/math/fabsf.c
// https://git.musl-libc.org/cgit/musl/tree/src/math/fabs.c
const std = @import("../std.zig");
const math = std.math;
const expect = std.testing.expect;
const maxInt = std.math.maxInt;
/// Returns the absolute value of x.
///
/// Special Cases:
/// - fabs(+-inf) = +inf
/// - fabs(nan) = nan
pub fn fabs(x: anytype) @TypeOf(x) {
const T = @TypeOf(x);
return switch (T) {
f16 => fabs16(x),
f32 => fabs32(x),
f64 => fabs64(x),
f128 => fabs128(x),
else => @compileError("fabs not implemented for " ++ @typeName(T)),
};
}
fn fabs16(x: f16) f16 {
var u = @bitCast(u16, x);
u &= 0x7FFF;
return @bitCast(f16, u);
}
fn fabs32(x: f32) f32 {
var u = @bitCast(u32, x);
u &= 0x7FFFFFFF;
return @bitCast(f32, u);
}
fn fabs64(x: f64) f64 {
var u = @bitCast(u64, x);
u &= maxInt(u64) >> 1;
return @bitCast(f64, u);
}
fn fabs128(x: f128) f128 {
var u = @bitCast(u128, x);
u &= maxInt(u128) >> 1;
return @bitCast(f128, u);
}
test "math.fabs" {
expect(fabs(@as(f16, 1.0)) == fabs16(1.0));
expect(fabs(@as(f32, 1.0)) == fabs32(1.0));
expect(fabs(@as(f64, 1.0)) == fabs64(1.0));
expect(fabs(@as(f128, 1.0)) == fabs128(1.0));
}
test "math.fabs16" {
expect(fabs16(1.0) == 1.0);
expect(fabs16(-1.0) == 1.0);
}
test "math.fabs32" {
expect(fabs32(1.0) == 1.0);
expect(fabs32(-1.0) == 1.0);
}
test "math.fabs64" {
expect(fabs64(1.0) == 1.0);
expect(fabs64(-1.0) == 1.0);
}
test "math.fabs128" {
expect(fabs128(1.0) == 1.0);
expect(fabs128(-1.0) == 1.0);
}
test "math.fabs16.special" {
expect(math.isPositiveInf(fabs(math.inf(f16))));
expect(math.isPositiveInf(fabs(-math.inf(f16))));
expect(math.isNan(fabs(math.nan(f16))));
}
test "math.fabs32.special" {
expect(math.isPositiveInf(fabs(math.inf(f32))));
expect(math.isPositiveInf(fabs(-math.inf(f32))));
expect(math.isNan(fabs(math.nan(f32))));
}
test "math.fabs64.special" {
expect(math.isPositiveInf(fabs(math.inf(f64))));
expect(math.isPositiveInf(fabs(-math.inf(f64))));
expect(math.isNan(fabs(math.nan(f64))));
}
test "math.fabs128.special" {
expect(math.isPositiveInf(fabs(math.inf(f128))));
expect(math.isPositiveInf(fabs(-math.inf(f128))));
expect(math.isNan(fabs(math.nan(f128))));
}