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Diffstat (limited to 'lib/std/math/round.zig')
| -rw-r--r-- | lib/std/math/round.zig | 126 |
1 files changed, 126 insertions, 0 deletions
diff --git a/lib/std/math/round.zig b/lib/std/math/round.zig new file mode 100644 index 0000000000..0b80a46ce5 --- /dev/null +++ b/lib/std/math/round.zig @@ -0,0 +1,126 @@ +// 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/roundf.c +// https://git.musl-libc.org/cgit/musl/tree/src/math/round.c + +const builtin = @import("builtin"); +const expect = std.testing.expect; +const std = @import("../std.zig"); +const math = std.math; + +/// Returns x rounded to the nearest integer, rounding half away from zero. +/// +/// Special Cases: +/// - round(+-0) = +-0 +/// - round(+-inf) = +-inf +/// - round(nan) = nan +pub fn round(x: var) @typeOf(x) { + const T = @typeOf(x); + return switch (T) { + f32 => round32(x), + f64 => round64(x), + else => @compileError("round not implemented for " ++ @typeName(T)), + }; +} + +fn round32(x_: f32) f32 { + var x = x_; + const u = @bitCast(u32, x); + const e = (u >> 23) & 0xFF; + var y: f32 = undefined; + + if (e >= 0x7F + 23) { + return x; + } + if (u >> 31 != 0) { + x = -x; + } + if (e < 0x7F - 1) { + math.forceEval(x + math.f32_toint); + return 0 * @bitCast(f32, u); + } + + y = x + math.f32_toint - math.f32_toint - x; + if (y > 0.5) { + y = y + x - 1; + } else if (y <= -0.5) { + y = y + x + 1; + } else { + y = y + x; + } + + if (u >> 31 != 0) { + return -y; + } else { + return y; + } +} + +fn round64(x_: f64) f64 { + var x = x_; + const u = @bitCast(u64, x); + const e = (u >> 52) & 0x7FF; + var y: f64 = undefined; + + if (e >= 0x3FF + 52) { + return x; + } + if (u >> 63 != 0) { + x = -x; + } + if (e < 0x3ff - 1) { + math.forceEval(x + math.f64_toint); + return 0 * @bitCast(f64, u); + } + + y = x + math.f64_toint - math.f64_toint - x; + if (y > 0.5) { + y = y + x - 1; + } else if (y <= -0.5) { + y = y + x + 1; + } else { + y = y + x; + } + + if (u >> 63 != 0) { + return -y; + } else { + return y; + } +} + +test "math.round" { + expect(round(f32(1.3)) == round32(1.3)); + expect(round(f64(1.3)) == round64(1.3)); +} + +test "math.round32" { + expect(round32(1.3) == 1.0); + expect(round32(-1.3) == -1.0); + expect(round32(0.2) == 0.0); + expect(round32(1.8) == 2.0); +} + +test "math.round64" { + expect(round64(1.3) == 1.0); + expect(round64(-1.3) == -1.0); + expect(round64(0.2) == 0.0); + expect(round64(1.8) == 2.0); +} + +test "math.round32.special" { + expect(round32(0.0) == 0.0); + expect(round32(-0.0) == -0.0); + expect(math.isPositiveInf(round32(math.inf(f32)))); + expect(math.isNegativeInf(round32(-math.inf(f32)))); + expect(math.isNan(round32(math.nan(f32)))); +} + +test "math.round64.special" { + expect(round64(0.0) == 0.0); + expect(round64(-0.0) == -0.0); + expect(math.isPositiveInf(round64(math.inf(f64)))); + expect(math.isNegativeInf(round64(-math.inf(f64)))); + expect(math.isNan(round64(math.nan(f64)))); +} |
