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| author | Andrew Kelley <andrew@ziglang.org> | 2019-09-26 01:54:45 -0400 |
|---|---|---|
| committer | GitHub <noreply@github.com> | 2019-09-26 01:54:45 -0400 |
| commit | 68bb3945708c43109c48bda3664176307d45b62c (patch) | |
| tree | afb9731e10cef9d192560b52cd9ae2cf179775c4 /lib/std/math/floor.zig | |
| parent | 6128bc728d1e1024a178c16c2149f5b1a167a013 (diff) | |
| parent | 4637e8f9699af9c3c6cf4df50ef5bb67c7a318a4 (diff) | |
| download | zig-68bb3945708c43109c48bda3664176307d45b62c.tar.gz zig-68bb3945708c43109c48bda3664176307d45b62c.zip | |
Merge pull request #3315 from ziglang/mv-std-lib
Move std/ to lib/std/
Diffstat (limited to 'lib/std/math/floor.zig')
| -rw-r--r-- | lib/std/math/floor.zig | 171 |
1 files changed, 171 insertions, 0 deletions
diff --git a/lib/std/math/floor.zig b/lib/std/math/floor.zig new file mode 100644 index 0000000000..e5ff2b1fc1 --- /dev/null +++ b/lib/std/math/floor.zig @@ -0,0 +1,171 @@ +// 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/floorf.c +// https://git.musl-libc.org/cgit/musl/tree/src/math/floor.c + +const builtin = @import("builtin"); +const expect = std.testing.expect; +const std = @import("../std.zig"); +const math = std.math; + +/// Returns the greatest integer value less than or equal to x. +/// +/// Special Cases: +/// - floor(+-0) = +-0 +/// - floor(+-inf) = +-inf +/// - floor(nan) = nan +pub fn floor(x: var) @typeOf(x) { + const T = @typeOf(x); + return switch (T) { + f16 => floor16(x), + f32 => floor32(x), + f64 => floor64(x), + else => @compileError("floor not implemented for " ++ @typeName(T)), + }; +} + +fn floor16(x: f16) f16 { + var u = @bitCast(u16, x); + const e = @intCast(i16, (u >> 10) & 31) - 15; + var m: u16 = undefined; + + // TODO: Shouldn't need this explicit check. + if (x == 0.0) { + return x; + } + + if (e >= 10) { + return x; + } + + if (e >= 0) { + m = u16(1023) >> @intCast(u4, e); + if (u & m == 0) { + return x; + } + math.forceEval(x + 0x1.0p120); + if (u >> 15 != 0) { + u += m; + } + return @bitCast(f16, u & ~m); + } else { + math.forceEval(x + 0x1.0p120); + if (u >> 15 == 0) { + return 0.0; + } else { + return -1.0; + } + } +} + +fn floor32(x: f32) f32 { + var u = @bitCast(u32, x); + const 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; + } + + 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; + } + return @bitCast(f32, u & ~m); + } else { + math.forceEval(x + 0x1.0p120); + if (u >> 31 == 0) { + return 0.0; + } else { + return -1.0; + } + } +} + +fn floor64(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 -1.0; + } else { + return 0.0; + } + } else if (y > 0) { + return x + y - 1; + } else { + return x + y; + } +} + +test "math.floor" { + expect(floor(f16(1.3)) == floor16(1.3)); + expect(floor(f32(1.3)) == floor32(1.3)); + expect(floor(f64(1.3)) == floor64(1.3)); +} + +test "math.floor16" { + expect(floor16(1.3) == 1.0); + expect(floor16(-1.3) == -2.0); + expect(floor16(0.2) == 0.0); +} + +test "math.floor32" { + expect(floor32(1.3) == 1.0); + expect(floor32(-1.3) == -2.0); + expect(floor32(0.2) == 0.0); +} + +test "math.floor64" { + expect(floor64(1.3) == 1.0); + expect(floor64(-1.3) == -2.0); + expect(floor64(0.2) == 0.0); +} + +test "math.floor16.special" { + expect(floor16(0.0) == 0.0); + expect(floor16(-0.0) == -0.0); + expect(math.isPositiveInf(floor16(math.inf(f16)))); + expect(math.isNegativeInf(floor16(-math.inf(f16)))); + expect(math.isNan(floor16(math.nan(f16)))); +} + +test "math.floor32.special" { + expect(floor32(0.0) == 0.0); + expect(floor32(-0.0) == -0.0); + expect(math.isPositiveInf(floor32(math.inf(f32)))); + expect(math.isNegativeInf(floor32(-math.inf(f32)))); + expect(math.isNan(floor32(math.nan(f32)))); +} + +test "math.floor64.special" { + expect(floor64(0.0) == 0.0); + expect(floor64(-0.0) == -0.0); + expect(math.isPositiveInf(floor64(math.inf(f64)))); + expect(math.isNegativeInf(floor64(-math.inf(f64)))); + expect(math.isNan(floor64(math.nan(f64)))); +} |
