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| author | Andrew Kelley <andrew@ziglang.org> | 2020-06-18 20:32:43 -0400 |
|---|---|---|
| committer | GitHub <noreply@github.com> | 2020-06-18 20:32:43 -0400 |
| commit | 5ea0f589c92018b4596ebbbd5e0ce3b71467585c (patch) | |
| tree | 10cbcb71acd74dcdc3e43d944cb07141639d3d9e /lib/std/math | |
| parent | caaa26c9f0db92c463a826f15c8392162be2e037 (diff) | |
| parent | eb7fad28f8f11b985c8ee6fbeb4a68345a9b3a5e (diff) | |
| download | zig-5ea0f589c92018b4596ebbbd5e0ce3b71467585c.tar.gz zig-5ea0f589c92018b4596ebbbd5e0ce3b71467585c.zip | |
Merge pull request #5625 from antlilja/master
Improve support for f128 and comptime_float operations
Diffstat (limited to 'lib/std/math')
| -rw-r--r-- | lib/std/math/ceil.zig | 43 | ||||
| -rw-r--r-- | lib/std/math/floor.zig | 43 | ||||
| -rw-r--r-- | lib/std/math/round.zig | 50 | ||||
| -rw-r--r-- | lib/std/math/trunc.zig | 37 |
4 files changed, 173 insertions, 0 deletions
diff --git a/lib/std/math/ceil.zig b/lib/std/math/ceil.zig index b94e13a176..e3b5679318 100644 --- a/lib/std/math/ceil.zig +++ b/lib/std/math/ceil.zig @@ -20,6 +20,7 @@ pub fn ceil(x: var) @TypeOf(x) { return switch (T) { f32 => ceil32(x), f64 => ceil64(x), + f128 => ceil128(x), else => @compileError("ceil not implemented for " ++ @typeName(T)), }; } @@ -86,9 +87,37 @@ fn ceil64(x: f64) f64 { } } +fn ceil128(x: f128) f128 { + const u = @bitCast(u128, x); + const e = (u >> 112) & 0x7FFF; + var y: f128 = undefined; + + if (e >= 0x3FFF + 112 or x == 0) return x; + + if (u >> 127 != 0) { + y = x - math.f128_toint + math.f128_toint - x; + } else { + y = x + math.f128_toint - math.f128_toint - x; + } + + if (e <= 0x3FFF - 1) { + math.forceEval(y); + if (u >> 127 != 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(@as(f32, 0.0)) == ceil32(0.0)); expect(ceil(@as(f64, 0.0)) == ceil64(0.0)); + expect(ceil(@as(f128, 0.0)) == ceil128(0.0)); } test "math.ceil32" { @@ -103,6 +132,12 @@ test "math.ceil64" { expect(ceil64(0.2) == 1.0); } +test "math.ceil128" { + expect(ceil128(1.3) == 2.0); + expect(ceil128(-1.3) == -1.0); + expect(ceil128(0.2) == 1.0); +} + test "math.ceil32.special" { expect(ceil32(0.0) == 0.0); expect(ceil32(-0.0) == -0.0); @@ -118,3 +153,11 @@ test "math.ceil64.special" { expect(math.isNegativeInf(ceil64(-math.inf(f64)))); expect(math.isNan(ceil64(math.nan(f64)))); } + +test "math.ceil128.special" { + expect(ceil128(0.0) == 0.0); + expect(ceil128(-0.0) == -0.0); + expect(math.isPositiveInf(ceil128(math.inf(f128)))); + expect(math.isNegativeInf(ceil128(-math.inf(f128)))); + expect(math.isNan(ceil128(math.nan(f128)))); +} diff --git a/lib/std/math/floor.zig b/lib/std/math/floor.zig index 1eda362e69..565e2911a9 100644 --- a/lib/std/math/floor.zig +++ b/lib/std/math/floor.zig @@ -21,6 +21,7 @@ pub fn floor(x: var) @TypeOf(x) { f16 => floor16(x), f32 => floor32(x), f64 => floor64(x), + f128 => floor128(x), else => @compileError("floor not implemented for " ++ @typeName(T)), }; } @@ -122,10 +123,38 @@ fn floor64(x: f64) f64 { } } +fn floor128(x: f128) f128 { + const u = @bitCast(u128, x); + const e = (u >> 112) & 0x7FFF; + var y: f128 = undefined; + + if (e >= 0x3FFF + 112 or x == 0) return x; + + if (u >> 127 != 0) { + y = x - math.f128_toint + math.f128_toint - x; + } else { + y = x + math.f128_toint - math.f128_toint - x; + } + + if (e <= 0x3FFF - 1) { + math.forceEval(y); + if (u >> 127 != 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(@as(f16, 1.3)) == floor16(1.3)); expect(floor(@as(f32, 1.3)) == floor32(1.3)); expect(floor(@as(f64, 1.3)) == floor64(1.3)); + expect(floor(@as(f128, 1.3)) == floor128(1.3)); } test "math.floor16" { @@ -146,6 +175,12 @@ test "math.floor64" { expect(floor64(0.2) == 0.0); } +test "math.floor128" { + expect(floor128(1.3) == 1.0); + expect(floor128(-1.3) == -2.0); + expect(floor128(0.2) == 0.0); +} + test "math.floor16.special" { expect(floor16(0.0) == 0.0); expect(floor16(-0.0) == -0.0); @@ -169,3 +204,11 @@ test "math.floor64.special" { expect(math.isNegativeInf(floor64(-math.inf(f64)))); expect(math.isNan(floor64(math.nan(f64)))); } + +test "math.floor128.special" { + expect(floor128(0.0) == 0.0); + expect(floor128(-0.0) == -0.0); + expect(math.isPositiveInf(floor128(math.inf(f128)))); + expect(math.isNegativeInf(floor128(-math.inf(f128)))); + expect(math.isNan(floor128(math.nan(f128)))); +} diff --git a/lib/std/math/round.zig b/lib/std/math/round.zig index dceb3ed770..052c0f7670 100644 --- a/lib/std/math/round.zig +++ b/lib/std/math/round.zig @@ -20,6 +20,7 @@ pub fn round(x: var) @TypeOf(x) { return switch (T) { f32 => round32(x), f64 => round64(x), + f128 => round128(x), else => @compileError("round not implemented for " ++ @typeName(T)), }; } @@ -90,9 +91,43 @@ fn round64(x_: f64) f64 { } } +fn round128(x_: f128) f128 { + var x = x_; + const u = @bitCast(u128, x); + const e = (u >> 112) & 0x7FFF; + var y: f128 = undefined; + + if (e >= 0x3FFF + 112) { + return x; + } + if (u >> 127 != 0) { + x = -x; + } + if (e < 0x3FFF - 1) { + math.forceEval(x + math.f64_toint); + return 0 * @bitCast(f128, u); + } + + y = x + math.f128_toint - math.f128_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 >> 127 != 0) { + return -y; + } else { + return y; + } +} + test "math.round" { expect(round(@as(f32, 1.3)) == round32(1.3)); expect(round(@as(f64, 1.3)) == round64(1.3)); + expect(round(@as(f128, 1.3)) == round128(1.3)); } test "math.round32" { @@ -109,6 +144,13 @@ test "math.round64" { expect(round64(1.8) == 2.0); } +test "math.round128" { + expect(round128(1.3) == 1.0); + expect(round128(-1.3) == -1.0); + expect(round128(0.2) == 0.0); + expect(round128(1.8) == 2.0); +} + test "math.round32.special" { expect(round32(0.0) == 0.0); expect(round32(-0.0) == -0.0); @@ -124,3 +166,11 @@ test "math.round64.special" { expect(math.isNegativeInf(round64(-math.inf(f64)))); expect(math.isNan(round64(math.nan(f64)))); } + +test "math.round128.special" { + expect(round128(0.0) == 0.0); + expect(round128(-0.0) == -0.0); + expect(math.isPositiveInf(round128(math.inf(f128)))); + expect(math.isNegativeInf(round128(-math.inf(f128)))); + expect(math.isNan(round128(math.nan(f128)))); +} diff --git a/lib/std/math/trunc.zig b/lib/std/math/trunc.zig index b70f0c6be3..cdd2fa3c6b 100644 --- a/lib/std/math/trunc.zig +++ b/lib/std/math/trunc.zig @@ -20,6 +20,7 @@ pub fn trunc(x: var) @TypeOf(x) { return switch (T) { f32 => trunc32(x), f64 => trunc64(x), + f128 => trunc128(x), else => @compileError("trunc not implemented for " ++ @typeName(T)), }; } @@ -66,9 +67,31 @@ fn trunc64(x: f64) f64 { } } +fn trunc128(x: f128) f128 { + const u = @bitCast(u128, x); + var e = @intCast(i32, ((u >> 112) & 0x7FFF)) - 0x3FFF + 16; + var m: u128 = undefined; + + if (e >= 112 + 16) { + return x; + } + if (e < 16) { + e = 1; + } + + m = @as(u128, maxInt(u128)) >> @intCast(u7, e); + if (u & m == 0) { + return x; + } else { + math.forceEval(x + 0x1p120); + return @bitCast(f128, u & ~m); + } +} + test "math.trunc" { expect(trunc(@as(f32, 1.3)) == trunc32(1.3)); expect(trunc(@as(f64, 1.3)) == trunc64(1.3)); + expect(trunc(@as(f128, 1.3)) == trunc128(1.3)); } test "math.trunc32" { @@ -83,6 +106,12 @@ test "math.trunc64" { expect(trunc64(0.2) == 0.0); } +test "math.trunc128" { + expect(trunc128(1.3) == 1.0); + expect(trunc128(-1.3) == -1.0); + expect(trunc128(0.2) == 0.0); +} + test "math.trunc32.special" { expect(trunc32(0.0) == 0.0); // 0x3F800000 expect(trunc32(-0.0) == -0.0); @@ -98,3 +127,11 @@ test "math.trunc64.special" { expect(math.isNegativeInf(trunc64(-math.inf(f64)))); expect(math.isNan(trunc64(math.nan(f64)))); } + +test "math.trunc128.special" { + expect(trunc128(0.0) == 0.0); + expect(trunc128(-0.0) == -0.0); + expect(math.isPositiveInf(trunc128(math.inf(f128)))); + expect(math.isNegativeInf(trunc128(-math.inf(f128)))); + expect(math.isNan(trunc128(math.nan(f128)))); +} |
