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Diffstat (limited to 'lib/std/math/ceil.zig')
| -rw-r--r-- | lib/std/math/ceil.zig | 120 |
1 files changed, 120 insertions, 0 deletions
diff --git a/lib/std/math/ceil.zig b/lib/std/math/ceil.zig new file mode 100644 index 0000000000..5f86093a6d --- /dev/null +++ b/lib/std/math/ceil.zig @@ -0,0 +1,120 @@ +// 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/ceilf.c +// https://git.musl-libc.org/cgit/musl/tree/src/math/ceil.c + +const builtin = @import("builtin"); +const std = @import("../std.zig"); +const math = std.math; +const expect = std.testing.expect; + +/// Returns the least integer value greater than of equal to x. +/// +/// Special Cases: +/// - ceil(+-0) = +-0 +/// - ceil(+-inf) = +-inf +/// - ceil(nan) = nan +pub fn ceil(x: var) @typeOf(x) { + const T = @typeOf(x); + return switch (T) { + f32 => ceil32(x), + f64 => ceil64(x), + else => @compileError("ceil not implemented for " ++ @typeName(T)), + }; +} + +fn ceil32(x: f32) f32 { + var u = @bitCast(u32, x); + var e = @intCast(i32, (u >> 23) & 0xFF) - 0x7F; + var m: u32 = undefined; + + // TODO: Shouldn't need this explicit check. + if (x == 0.0) { + return x; + } + + if (e >= 23) { + return x; + } else if (e >= 0) { + m = u32(0x007FFFFF) >> @intCast(u5, e); + if (u & m == 0) { + return x; + } + math.forceEval(x + 0x1.0p120); + if (u >> 31 == 0) { + u += m; + } + u &= ~m; + return @bitCast(f32, u); + } else { + math.forceEval(x + 0x1.0p120); + if (u >> 31 != 0) { + return -0.0; + } else { + return 1.0; + } + } +} + +fn ceil64(x: f64) f64 { + const u = @bitCast(u64, x); + const e = (u >> 52) & 0x7FF; + var y: f64 = undefined; + + if (e >= 0x3FF + 52 or x == 0) { + return x; + } + + if (u >> 63 != 0) { + y = x - math.f64_toint + math.f64_toint - x; + } else { + y = x + math.f64_toint - math.f64_toint - x; + } + + if (e <= 0x3FF - 1) { + math.forceEval(y); + if (u >> 63 != 0) { + return -0.0; + } else { + return 1.0; + } + } else if (y < 0) { + return x + y + 1; + } else { + return x + y; + } +} + +test "math.ceil" { + expect(ceil(f32(0.0)) == ceil32(0.0)); + expect(ceil(f64(0.0)) == ceil64(0.0)); +} + +test "math.ceil32" { + expect(ceil32(1.3) == 2.0); + expect(ceil32(-1.3) == -1.0); + expect(ceil32(0.2) == 1.0); +} + +test "math.ceil64" { + expect(ceil64(1.3) == 2.0); + expect(ceil64(-1.3) == -1.0); + expect(ceil64(0.2) == 1.0); +} + +test "math.ceil32.special" { + expect(ceil32(0.0) == 0.0); + expect(ceil32(-0.0) == -0.0); + expect(math.isPositiveInf(ceil32(math.inf(f32)))); + expect(math.isNegativeInf(ceil32(-math.inf(f32)))); + expect(math.isNan(ceil32(math.nan(f32)))); +} + +test "math.ceil64.special" { + expect(ceil64(0.0) == 0.0); + expect(ceil64(-0.0) == -0.0); + expect(math.isPositiveInf(ceil64(math.inf(f64)))); + expect(math.isNegativeInf(ceil64(-math.inf(f64)))); + expect(math.isNan(ceil64(math.nan(f64)))); +} |
