// Copyright 2016 The Go Authors. All rights reserved. // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. package test import ( "math" "testing" ) //go:noinline func compare1(a, b float64) bool { return a < b } //go:noinline func compare2(a, b float32) bool { return a < b } func TestFloatCompare(t *testing.T) { if !compare1(3, 5) { t.Errorf("compare1 returned false") } if !compare2(3, 5) { t.Errorf("compare2 returned false") } } func TestFloatCompareFolded(t *testing.T) { // float64 comparisons d1, d3, d5, d9 := float64(1), float64(3), float64(5), float64(9) if d3 == d5 { t.Errorf("d3 == d5 returned true") } if d3 != d3 { t.Errorf("d3 != d3 returned true") } if d3 > d5 { t.Errorf("d3 > d5 returned true") } if d3 >= d9 { t.Errorf("d3 >= d9 returned true") } if d5 < d1 { t.Errorf("d5 < d1 returned true") } if d9 <= d1 { t.Errorf("d9 <= d1 returned true") } if math.NaN() == math.NaN() { t.Errorf("math.NaN() == math.NaN() returned true") } if math.NaN() >= math.NaN() { t.Errorf("math.NaN() >= math.NaN() returned true") } if math.NaN() <= math.NaN() { t.Errorf("math.NaN() <= math.NaN() returned true") } if math.Copysign(math.NaN(), -1) < math.NaN() { t.Errorf("math.Copysign(math.NaN(), -1) < math.NaN() returned true") } if math.Inf(1) != math.Inf(1) { t.Errorf("math.Inf(1) != math.Inf(1) returned true") } if math.Inf(-1) != math.Inf(-1) { t.Errorf("math.Inf(-1) != math.Inf(-1) returned true") } if math.Copysign(0, -1) != 0 { t.Errorf("math.Copysign(0, -1) != 0 returned true") } if math.Copysign(0, -1) < 0 { t.Errorf("math.Copysign(0, -1) < 0 returned true") } if 0 > math.Copysign(0, -1) { t.Errorf("0 > math.Copysign(0, -1) returned true") } // float32 comparisons s1, s3, s5, s9 := float32(1), float32(3), float32(5), float32(9) if s3 == s5 { t.Errorf("s3 == s5 returned true") } if s3 != s3 { t.Errorf("s3 != s3 returned true") } if s3 > s5 { t.Errorf("s3 > s5 returned true") } if s3 >= s9 { t.Errorf("s3 >= s9 returned true") } if s5 < s1 { t.Errorf("s5 < s1 returned true") } if s9 <= s1 { t.Errorf("s9 <= s1 returned true") } sPosNaN, sNegNaN := float32(math.NaN()), float32(math.Copysign(math.NaN(), -1)) if sPosNaN == sPosNaN { t.Errorf("sPosNaN == sPosNaN returned true") } if sPosNaN >= sPosNaN { t.Errorf("sPosNaN >= sPosNaN returned true") } if sPosNaN <= sPosNaN { t.Errorf("sPosNaN <= sPosNaN returned true") } if sNegNaN < sPosNaN { t.Errorf("sNegNaN < sPosNaN returned true") } sPosInf, sNegInf := float32(math.Inf(1)), float32(math.Inf(-1)) if sPosInf != sPosInf { t.Errorf("sPosInf != sPosInf returned true") } if sNegInf != sNegInf { t.Errorf("sNegInf != sNegInf returned true") } sNegZero := float32(math.Copysign(0, -1)) if sNegZero != 0 { t.Errorf("sNegZero != 0 returned true") } if sNegZero < 0 { t.Errorf("sNegZero < 0 returned true") } if 0 > sNegZero { t.Errorf("0 > sNegZero returned true") } } //go:noinline func cvt1(a float64) uint64 { return uint64(a) } //go:noinline func cvt2(a float64) uint32 { return uint32(a) } //go:noinline func cvt3(a float32) uint64 { return uint64(a) } //go:noinline func cvt4(a float32) uint32 { return uint32(a) } //go:noinline func cvt5(a float64) int64 { return int64(a) } //go:noinline func cvt6(a float64) int32 { return int32(a) } //go:noinline func cvt7(a float32) int64 { return int64(a) } //go:noinline func cvt8(a float32) int32 { return int32(a) } // make sure to cover int, uint cases (issue #16738) // //go:noinline func cvt9(a float64) int { return int(a) } //go:noinline func cvt10(a float64) uint { return uint(a) } //go:noinline func cvt11(a float32) int { return int(a) } //go:noinline func cvt12(a float32) uint { return uint(a) } //go:noinline func f2i64p(v float64) *int64 { return ip64(int64(v / 0.1)) } //go:noinline func ip64(v int64) *int64 { return &v } func TestFloatConvert(t *testing.T) { if got := cvt1(3.5); got != 3 { t.Errorf("cvt1 got %d, wanted 3", got) } if got := cvt2(3.5); got != 3 { t.Errorf("cvt2 got %d, wanted 3", got) } if got := cvt3(3.5); got != 3 { t.Errorf("cvt3 got %d, wanted 3", got) } if got := cvt4(3.5); got != 3 { t.Errorf("cvt4 got %d, wanted 3", got) } if got := cvt5(3.5); got != 3 { t.Errorf("cvt5 got %d, wanted 3", got) } if got := cvt6(3.5); got != 3 { t.Errorf("cvt6 got %d, wanted 3", got) } if got := cvt7(3.5); got != 3 { t.Errorf("cvt7 got %d, wanted 3", got) } if got := cvt8(3.5); got != 3 { t.Errorf("cvt8 got %d, wanted 3", got) } if got := cvt9(3.5); got != 3 { t.Errorf("cvt9 got %d, wanted 3", got) } if got := cvt10(3.5); got != 3 { t.Errorf("cvt10 got %d, wanted 3", got) } if got := cvt11(3.5); got != 3 { t.Errorf("cvt11 got %d, wanted 3", got) } if got := cvt12(3.5); got != 3 { t.Errorf("cvt12 got %d, wanted 3", got) } if got := *f2i64p(10); got != 100 { t.Errorf("f2i64p got %d, wanted 100", got) } } func TestFloatConvertFolded(t *testing.T) { // Assign constants to variables so that they are (hopefully) constant folded // by the SSA backend rather than the frontend. u64, u32, u16, u8 := uint64(1<<63), uint32(1<<31), uint16(1<<15), uint8(1<<7) i64, i32, i16, i8 := int64(-1<<63), int32(-1<<31), int16(-1<<15), int8(-1<<7) du64, du32, du16, du8 := float64(1<<63), float64(1<<31), float64(1<<15), float64(1<<7) di64, di32, di16, di8 := float64(-1<<63), float64(-1<<31), float64(-1<<15), float64(-1<<7) su64, su32, su16, su8 := float32(1<<63), float32(1<<31), float32(1<<15), float32(1<<7) si64, si32, si16, si8 := float32(-1<<63), float32(-1<<31), float32(-1<<15), float32(-1<<7) // integer to float if float64(u64) != du64 { t.Errorf("float64(u64) != du64") } if float64(u32) != du32 { t.Errorf("float64(u32) != du32") } if float64(u16) != du16 { t.Errorf("float64(u16) != du16") } if float64(u8) != du8 { t.Errorf("float64(u8) != du8") } if float64(i64) != di64 { t.Errorf("float64(i64) != di64") } if float64(i32) != di32 { t.Errorf("float64(i32) != di32") } if float64(i16) != di16 { t.Errorf("float64(i16) != di16") } if float64(i8) != di8 { t.Errorf("float64(i8) != di8") } if float32(u64) != su64 { t.Errorf("float32(u64) != su64") } if float32(u32) != su32 { t.Errorf("float32(u32) != su32") } if float32(u16) != su16 { t.Errorf("float32(u16) != su16") } if float32(u8) != su8 { t.Errorf("float32(u8) != su8") } if float32(i64) != si64 { t.Errorf("float32(i64) != si64") } if float32(i32) != si32 { t.Errorf("float32(i32) != si32") } if float32(i16) != si16 { t.Errorf("float32(i16) != si16") } if float32(i8) != si8 { t.Errorf("float32(i8) != si8") } // float to integer if uint64(du64) != u64 { t.Errorf("uint64(du64) != u64") } if uint32(du32) != u32 { t.Errorf("uint32(du32) != u32") } if uint16(du16) != u16 { t.Errorf("uint16(du16) != u16") } if uint8(du8) != u8 { t.Errorf("uint8(du8) != u8") } if int64(di64) != i64 { t.Errorf("int64(di64) != i64") } if int32(di32) != i32 { t.Errorf("int32(di32) != i32") } if int16(di16) != i16 { t.Errorf("int16(di16) != i16") } if int8(di8) != i8 { t.Errorf("int8(di8) != i8") } if uint64(su64) != u64 { t.Errorf("uint64(su64) != u64") } if uint32(su32) != u32 { t.Errorf("uint32(su32) != u32") } if uint16(su16) != u16 { t.Errorf("uint16(su16) != u16") } if uint8(su8) != u8 { t.Errorf("uint8(su8) != u8") } if int64(si64) != i64 { t.Errorf("int64(si64) != i64") } if int32(si32) != i32 { t.Errorf("int32(si32) != i32") } if int16(si16) != i16 { t.Errorf("int16(si16) != i16") } if int8(si8) != i8 { t.Errorf("int8(si8) != i8") } } func TestFloat32StoreToLoadConstantFold(t *testing.T) { // Test that math.Float32{,from}bits constant fold correctly. // In particular we need to be careful that signaling NaN (sNaN) values // are not converted to quiet NaN (qNaN) values during compilation. // See issue #27193 for more information. // signaling NaNs { const nan = uint32(0x7f800001) // sNaN if x := math.Float32bits(math.Float32frombits(nan)); x != nan { t.Errorf("got %#x, want %#x", x, nan) } } { const nan = uint32(0x7fbfffff) // sNaN if x := math.Float32bits(math.Float32frombits(nan)); x != nan { t.Errorf("got %#x, want %#x", x, nan) } } { const nan = uint32(0xff800001) // sNaN if x := math.Float32bits(math.Float32frombits(nan)); x != nan { t.Errorf("got %#x, want %#x", x, nan) } } { const nan = uint32(0xffbfffff) // sNaN if x := math.Float32bits(math.Float32frombits(nan)); x != nan { t.Errorf("got %#x, want %#x", x, nan) } } // quiet NaNs { const nan = uint32(0x7fc00000) // qNaN if x := math.Float32bits(math.Float32frombits(nan)); x != nan { t.Errorf("got %#x, want %#x", x, nan) } } { const nan = uint32(0x7fffffff) // qNaN if x := math.Float32bits(math.Float32frombits(nan)); x != nan { t.Errorf("got %#x, want %#x", x, nan) } } { const nan = uint32(0x8fc00000) // qNaN if x := math.Float32bits(math.Float32frombits(nan)); x != nan { t.Errorf("got %#x, want %#x", x, nan) } } { const nan = uint32(0x8fffffff) // qNaN if x := math.Float32bits(math.Float32frombits(nan)); x != nan { t.Errorf("got %#x, want %#x", x, nan) } } // infinities { const inf = uint32(0x7f800000) // +∞ if x := math.Float32bits(math.Float32frombits(inf)); x != inf { t.Errorf("got %#x, want %#x", x, inf) } } { const negInf = uint32(0xff800000) // -∞ if x := math.Float32bits(math.Float32frombits(negInf)); x != negInf { t.Errorf("got %#x, want %#x", x, negInf) } } // numbers { const zero = uint32(0) // +0.0 if x := math.Float32bits(math.Float32frombits(zero)); x != zero { t.Errorf("got %#x, want %#x", x, zero) } } { const negZero = uint32(1 << 31) // -0.0 if x := math.Float32bits(math.Float32frombits(negZero)); x != negZero { t.Errorf("got %#x, want %#x", x, negZero) } } { const one = uint32(0x3f800000) // 1.0 if x := math.Float32bits(math.Float32frombits(one)); x != one { t.Errorf("got %#x, want %#x", x, one) } } { const negOne = uint32(0xbf800000) // -1.0 if x := math.Float32bits(math.Float32frombits(negOne)); x != negOne { t.Errorf("got %#x, want %#x", x, negOne) } } { const frac = uint32(0x3fc00000) // +1.5 if x := math.Float32bits(math.Float32frombits(frac)); x != frac { t.Errorf("got %#x, want %#x", x, frac) } } { const negFrac = uint32(0xbfc00000) // -1.5 if x := math.Float32bits(math.Float32frombits(negFrac)); x != negFrac { t.Errorf("got %#x, want %#x", x, negFrac) } } } // Signaling NaN values as constants. const ( snan32bits uint32 = 0x7f800001 snan64bits uint64 = 0x7ff0000000000001 ) // Signaling NaNs as variables. var snan32bitsVar uint32 = snan32bits var snan64bitsVar uint64 = snan64bits func TestFloatSignalingNaN(t *testing.T) { // Make sure we generate a signaling NaN from a constant properly. // See issue 36400. f32 := math.Float32frombits(snan32bits) g32 := math.Float32frombits(snan32bitsVar) x32 := math.Float32bits(f32) y32 := math.Float32bits(g32) if x32 != y32 { t.Errorf("got %x, want %x (diff=%x)", x32, y32, x32^y32) } f64 := math.Float64frombits(snan64bits) g64 := math.Float64frombits(snan64bitsVar) x64 := math.Float64bits(f64) y64 := math.Float64bits(g64) if x64 != y64 { t.Errorf("got %x, want %x (diff=%x)", x64, y64, x64^y64) } } func TestFloatSignalingNaNConversion(t *testing.T) { // Test to make sure when we convert a signaling NaN, we get a NaN. // (Ideally we want a quiet NaN, but some platforms don't agree.) // See issue 36399. s32 := math.Float32frombits(snan32bitsVar) if s32 == s32 { t.Errorf("converting a NaN did not result in a NaN") } s64 := math.Float64frombits(snan64bitsVar) if s64 == s64 { t.Errorf("converting a NaN did not result in a NaN") } } func TestFloatSignalingNaNConversionConst(t *testing.T) { // Test to make sure when we convert a signaling NaN, it converts to a NaN. // (Ideally we want a quiet NaN, but some platforms don't agree.) // See issue 36399 and 36400. s32 := math.Float32frombits(snan32bits) if s32 == s32 { t.Errorf("converting a NaN did not result in a NaN") } s64 := math.Float64frombits(snan64bits) if s64 == s64 { t.Errorf("converting a NaN did not result in a NaN") } } //go:noinline func isPosInf(x float64) bool { return math.IsInf(x, 1) } //go:noinline func isPosInfEq(x float64) bool { return x == math.Inf(1) } //go:noinline func isPosInfCmp(x float64) bool { return x > math.MaxFloat64 } //go:noinline func isNotPosInf(x float64) bool { return !math.IsInf(x, 1) } //go:noinline func isNotPosInfEq(x float64) bool { return x != math.Inf(1) } //go:noinline func isNotPosInfCmp(x float64) bool { return x <= math.MaxFloat64 } //go:noinline func isNegInf(x float64) bool { return math.IsInf(x, -1) } //go:noinline func isNegInfEq(x float64) bool { return x == math.Inf(-1) } //go:noinline func isNegInfCmp(x float64) bool { return x < -math.MaxFloat64 } //go:noinline func isNotNegInf(x float64) bool { return !math.IsInf(x, -1) } //go:noinline func isNotNegInfEq(x float64) bool { return x != math.Inf(-1) } //go:noinline func isNotNegInfCmp(x float64) bool { return x >= -math.MaxFloat64 } func TestInf(t *testing.T) { tests := []struct { value float64 isPosInf bool isNegInf bool isNaN bool }{ {value: math.Inf(1), isPosInf: true}, {value: math.MaxFloat64}, {value: math.Inf(-1), isNegInf: true}, {value: -math.MaxFloat64}, {value: math.NaN(), isNaN: true}, } check := func(name string, f func(x float64) bool, value float64, want bool) { got := f(value) if got != want { t.Errorf("%v(%g): want %v, got %v", name, value, want, got) } } for _, test := range tests { check("isPosInf", isPosInf, test.value, test.isPosInf) check("isPosInfEq", isPosInfEq, test.value, test.isPosInf) check("isPosInfCmp", isPosInfCmp, test.value, test.isPosInf) check("isNotPosInf", isNotPosInf, test.value, !test.isPosInf) check("isNotPosInfEq", isNotPosInfEq, test.value, !test.isPosInf) check("isNotPosInfCmp", isNotPosInfCmp, test.value, !test.isPosInf && !test.isNaN) check("isNegInf", isNegInf, test.value, test.isNegInf) check("isNegInfEq", isNegInfEq, test.value, test.isNegInf) check("isNegInfCmp", isNegInfCmp, test.value, test.isNegInf) check("isNotNegInf", isNotNegInf, test.value, !test.isNegInf) check("isNotNegInfEq", isNotNegInfEq, test.value, !test.isNegInf) check("isNotNegInfCmp", isNotNegInfCmp, test.value, !test.isNegInf && !test.isNaN) } } //go:noinline func isNaNOrGtZero64(x float64) bool { return math.IsNaN(x) || x > 0 } //go:noinline func isNaNOrGteZero64(x float64) bool { return x >= 0 || math.IsNaN(x) } //go:noinline func isNaNOrLtZero64(x float64) bool { return x < 0 || math.IsNaN(x) } //go:noinline func isNaNOrLteZero64(x float64) bool { return math.IsNaN(x) || x <= 0 } func TestFusedNaNChecks64(t *testing.T) { tests := []struct { value float64 isZero bool isGreaterThanZero bool isLessThanZero bool isNaN bool }{ {value: 0.0, isZero: true}, {value: math.Copysign(0, -1), isZero: true}, {value: 1.0, isGreaterThanZero: true}, {value: -1.0, isLessThanZero: true}, {value: math.Inf(1), isGreaterThanZero: true}, {value: math.Inf(-1), isLessThanZero: true}, {value: math.NaN(), isNaN: true}, } check := func(name string, f func(x float64) bool, value float64, want bool) { got := f(value) if got != want { t.Errorf("%v(%g): want %v, got %v", name, value, want, got) } } for _, test := range tests { check("isNaNOrGtZero64", isNaNOrGtZero64, test.value, test.isNaN || test.isGreaterThanZero) check("isNaNOrGteZero64", isNaNOrGteZero64, test.value, test.isNaN || test.isGreaterThanZero || test.isZero) check("isNaNOrLtZero64", isNaNOrLtZero64, test.value, test.isNaN || test.isLessThanZero) check("isNaNOrLteZero64", isNaNOrLteZero64, test.value, test.isNaN || test.isLessThanZero || test.isZero) } } //go:noinline func isNaNOrGtZero32(x float32) bool { return x > 0 || x != x } //go:noinline func isNaNOrGteZero32(x float32) bool { return x != x || x >= 0 } //go:noinline func isNaNOrLtZero32(x float32) bool { return x != x || x < 0 } //go:noinline func isNaNOrLteZero32(x float32) bool { return x <= 0 || x != x } func TestFusedNaNChecks32(t *testing.T) { tests := []struct { value float32 isZero bool isGreaterThanZero bool isLessThanZero bool isNaN bool }{ {value: 0.0, isZero: true}, {value: float32(math.Copysign(0, -1)), isZero: true}, {value: 1.0, isGreaterThanZero: true}, {value: -1.0, isLessThanZero: true}, {value: float32(math.Inf(1)), isGreaterThanZero: true}, {value: float32(math.Inf(-1)), isLessThanZero: true}, {value: float32(math.NaN()), isNaN: true}, } check := func(name string, f func(x float32) bool, value float32, want bool) { got := f(value) if got != want { t.Errorf("%v(%g): want %v, got %v", name, value, want, got) } } for _, test := range tests { check("isNaNOrGtZero32", isNaNOrGtZero32, test.value, test.isNaN || test.isGreaterThanZero) check("isNaNOrGteZero32", isNaNOrGteZero32, test.value, test.isNaN || test.isGreaterThanZero || test.isZero) check("isNaNOrLtZero32", isNaNOrLtZero32, test.value, test.isNaN || test.isLessThanZero) check("isNaNOrLteZero32", isNaNOrLteZero32, test.value, test.isNaN || test.isLessThanZero || test.isZero) } } // minNormal64 is the smallest float64 value that is not subnormal. const minNormal64 = 2.2250738585072014e-308 //go:noinline func isAbsLessThanMinNormal64(x float64) bool { return math.Abs(x) < minNormal64 } //go:noinline func isLessThanMinNormal64(x float64) bool { return x < minNormal64 } //go:noinline func isGreaterThanNegMinNormal64(x float64) bool { return x > -minNormal64 } //go:noinline func isGreaterThanOrEqualToMinNormal64(x float64) bool { return math.Abs(x) >= minNormal64 } func TestSubnormalComparisons(t *testing.T) { tests := []struct { value float64 isAbsLessThanMinNormal bool isPositive bool isNegative bool isNaN bool }{ {value: math.Inf(1), isPositive: true}, {value: math.MaxFloat64, isPositive: true}, {value: math.Inf(-1), isNegative: true}, {value: -math.MaxFloat64, isNegative: true}, {value: math.NaN(), isNaN: true}, {value: minNormal64, isPositive: true}, {value: minNormal64 / 2, isAbsLessThanMinNormal: true, isPositive: true}, {value: -minNormal64, isNegative: true}, {value: -minNormal64 / 2, isAbsLessThanMinNormal: true, isNegative: true}, {value: 0, isAbsLessThanMinNormal: true, isPositive: true}, {value: math.Copysign(0, -1), isAbsLessThanMinNormal: true, isNegative: true}, } check := func(name string, f func(x float64) bool, value float64, want bool) { got := f(value) if got != want { t.Errorf("%v(%g): want %v, got %v", name, value, want, got) } } for _, test := range tests { check("isAbsLessThanMinNormal64", isAbsLessThanMinNormal64, test.value, test.isAbsLessThanMinNormal) check("isLessThanMinNormal64", isLessThanMinNormal64, test.value, test.isAbsLessThanMinNormal || test.isNegative) check("isGreaterThanNegMinNormal64", isGreaterThanNegMinNormal64, test.value, test.isAbsLessThanMinNormal || test.isPositive) check("isGreaterThanOrEqualToMinNormal64", isGreaterThanOrEqualToMinNormal64, test.value, !test.isAbsLessThanMinNormal && !test.isNaN) } } var sinkFloat float64 func BenchmarkMul2(b *testing.B) { for i := 0; i < b.N; i++ { var m float64 = 1 for j := 0; j < 500; j++ { m *= 2 } sinkFloat = m } } func BenchmarkMulNeg2(b *testing.B) { for i := 0; i < b.N; i++ { var m float64 = 1 for j := 0; j < 500; j++ { m *= -2 } sinkFloat = m } }