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@ -37,6 +37,7 @@ pub const sqrt2 = 1.414213562373095048801688724209698079;
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/// 1/sqrt(2)
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pub const sqrt1_2 = 0.707106781186547524400844362104849039;
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pub const floatBits = @import("math/float.zig").floatBits;
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pub const floatExponentBits = @import("math/float.zig").floatExponentBits;
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pub const floatMantissaBits = @import("math/float.zig").floatMantissaBits;
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pub const floatFractionalBits = @import("math/float.zig").floatFractionalBits;
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@ -4,16 +4,17 @@ const expect = std.testing.expect;
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/// Returns a value with the magnitude of `magnitude` and the sign of `sign`.
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pub fn copysign(magnitude: anytype, sign: @TypeOf(magnitude)) @TypeOf(magnitude) {
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const T = @TypeOf(magnitude);
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const TBits = std.meta.Int(.unsigned, @typeInfo(T).Float.bits);
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const sign_bit_mask = @as(TBits, 1) << (@bitSizeOf(T) - 1);
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const mag = @bitCast(TBits, magnitude) & ~sign_bit_mask;
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const sgn = @bitCast(TBits, sign) & sign_bit_mask;
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return @bitCast(T, mag | sgn);
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const bits = math.floatBits(@TypeOf(magnitude));
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const FBits = @Type(.{ .Float = .{ .bits = bits } });
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const TBits = @Type(.{ .Int = .{ .signedness = .unsigned, .bits = bits } });
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const sign_bit_mask = @as(TBits, 1) << (bits - 1);
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const mag = @bitCast(TBits, @as(FBits, magnitude)) & ~sign_bit_mask;
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const sgn = @bitCast(TBits, @as(FBits, sign)) & sign_bit_mask;
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return @bitCast(FBits, mag | sgn);
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}
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test "math.copysign" {
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inline for ([_]type{ f16, f32, f64, f80, f128 }) |T| {
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inline for ([_]type{ f16, f32, f64, f80, f128, c_longdouble, comptime_float }) |T| {
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try expect(copysign(@as(T, 1.0), @as(T, 1.0)) == 1.0);
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try expect(copysign(@as(T, 2.0), @as(T, -2.0)) == -2.0);
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try expect(copysign(@as(T, -3.0), @as(T, 3.0)) == 3.0);
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@ -4,21 +4,29 @@ const expect = std.testing.expect;
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/// Creates a raw "1.0" mantissa for floating point type T. Used to dedupe f80 logic.
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inline fn mantissaOne(comptime T: type) comptime_int {
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return if (@typeInfo(T).Float.bits == 80) 1 << floatFractionalBits(T) else 0;
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return 1 << floatFractionalBits(T) & ((1 << floatMantissaBits(T)) - 1);
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}
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/// Creates floating point type T from an unbiased exponent and raw mantissa.
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inline fn reconstructFloat(comptime T: type, comptime exponent: comptime_int, comptime mantissa: comptime_int) T {
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const TBits = @Type(.{ .Int = .{ .signedness = .unsigned, .bits = @bitSizeOf(T) } });
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const FBits = @Type(.{ .Float = .{ .bits = floatBits(T) } });
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const TBits = @Type(.{ .Int = .{ .signedness = .unsigned, .bits = floatBits(T) } });
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const biased_exponent = @as(TBits, exponent + floatExponentMax(T));
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return @bitCast(T, (biased_exponent << floatMantissaBits(T)) | @as(TBits, mantissa));
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return @bitCast(FBits, (biased_exponent << floatMantissaBits(T)) | @as(TBits, mantissa));
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}
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/// Returns the number of bits in floating point type T.
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pub inline fn floatBits(comptime T: type) comptime_int {
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return switch (@typeInfo(T)) {
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.Float => |info| info.bits,
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.ComptimeFloat => 128,
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else => @compileError(@typeName(T) ++ " is not a floating point type"),
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};
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}
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/// Returns the number of bits in the exponent of floating point type T.
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pub inline fn floatExponentBits(comptime T: type) comptime_int {
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comptime assert(@typeInfo(T) == .Float);
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return switch (@typeInfo(T).Float.bits) {
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return switch (floatBits(T)) {
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16 => 5,
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32 => 8,
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64 => 11,
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@ -30,9 +38,7 @@ pub inline fn floatExponentBits(comptime T: type) comptime_int {
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/// Returns the number of bits in the mantissa of floating point type T.
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pub inline fn floatMantissaBits(comptime T: type) comptime_int {
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comptime assert(@typeInfo(T) == .Float);
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return switch (@typeInfo(T).Float.bits) {
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return switch (floatBits(T)) {
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16 => 10,
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32 => 23,
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64 => 52,
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@ -44,12 +50,10 @@ pub inline fn floatMantissaBits(comptime T: type) comptime_int {
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/// Returns the number of fractional bits in the mantissa of floating point type T.
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pub inline fn floatFractionalBits(comptime T: type) comptime_int {
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comptime assert(@typeInfo(T) == .Float);
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// standard IEEE floats have an implicit 0.m or 1.m integer part
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// f80 is special and has an explicitly stored bit in the MSB
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// this function corresponds to `MANT_DIG - 1' from C
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return switch (@typeInfo(T).Float.bits) {
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return switch (floatBits(T)) {
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16 => 10,
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32 => 23,
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64 => 52,
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@ -101,6 +105,7 @@ test "float bits" {
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inline for ([_]type{ f16, f32, f64, f80, f128, c_longdouble }) |T| {
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// (1 +) for the sign bit, since it is separate from the other bits
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const size = 1 + floatExponentBits(T) + floatMantissaBits(T);
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try expect(floatBits(T) == size);
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try expect(@bitSizeOf(T) == size);
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// for machine epsilon, assert expmin <= -prec <= expmax
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@ -2,13 +2,13 @@ const math = @import("../math.zig");
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/// Returns the nan representation for type T.
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pub inline fn nan(comptime T: type) T {
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return switch (@typeInfo(T).Float.bits) {
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return switch (math.floatBits(T)) {
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16 => math.nan_f16,
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32 => math.nan_f32,
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64 => math.nan_f64,
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80 => math.nan_f80,
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128 => math.nan_f128,
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else => @compileError("unreachable"),
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else => @compileError("unknown floating point type " ++ @typeName(T)),
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};
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}
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@ -7034,7 +7034,7 @@ pub const FuncGen = struct {
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const rhs = try self.resolveInst(bin_op.rhs);
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const scalar_ty = self.air.typeOfIndex(inst).scalarType();
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if (scalar_ty.isAnyFloat()) return self.builder.buildMinNum(lhs, rhs, "");
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if (scalar_ty.isAnyFloat()) return self.buildFloatOp(.fmin, scalar_ty, 2, .{ lhs, rhs });
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if (scalar_ty.isSignedInt()) return self.builder.buildSMin(lhs, rhs, "");
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return self.builder.buildUMin(lhs, rhs, "");
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}
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@ -7045,7 +7045,7 @@ pub const FuncGen = struct {
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const rhs = try self.resolveInst(bin_op.rhs);
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const scalar_ty = self.air.typeOfIndex(inst).scalarType();
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if (scalar_ty.isAnyFloat()) return self.builder.buildMaxNum(lhs, rhs, "");
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if (scalar_ty.isAnyFloat()) return self.buildFloatOp(.fmax, scalar_ty, 2, .{ lhs, rhs });
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if (scalar_ty.isSignedInt()) return self.builder.buildSMax(lhs, rhs, "");
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return self.builder.buildUMax(lhs, rhs, "");
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}
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@ -96,6 +96,31 @@ test "@min for vectors" {
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comptime try S.doTheTest();
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}
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test "@min/max for floats" {
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if (builtin.zig_backend == .stage2_wasm) return error.SkipZigTest; // TODO
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if (builtin.zig_backend == .stage2_x86_64) return error.SkipZigTest; // TODO
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if (builtin.zig_backend == .stage2_aarch64) return error.SkipZigTest; // TODO
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if (builtin.zig_backend == .stage2_arm) return error.SkipZigTest; // TODO
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if (builtin.zig_backend == .stage2_sparc64) return error.SkipZigTest; // TODO
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const S = struct {
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fn doTheTest(comptime T: type) !void {
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var x: T = -3.14;
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var y: T = 5.27;
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try expectEqual(x, @min(x, y));
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try expectEqual(x, @min(y, x));
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try expectEqual(y, @max(x, y));
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try expectEqual(y, @max(y, x));
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}
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};
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inline for (.{ f16, f32, f64, f80, f128, c_longdouble }) |T| {
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try S.doTheTest(T);
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comptime try S.doTheTest(T);
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}
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comptime try S.doTheTest(comptime_float);
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}
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test "@min/@max on lazy values" {
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const A = extern struct { u8_4: [4]u8 };
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const B = extern struct { u8_16: [16]u8 };
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