// Copyright 2009 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 strconv_test import ( "math" "math/rand" . "strconv" "testing" ) type ftoaTest struct { f float64 fmt byte prec int s string } func fdiv(a, b float64) float64 { return a / b } const ( below1e23 = 99999999999999974834176 above1e23 = 100000000000000008388608 ) var ftoatests = []ftoaTest{ {1, 'e', 5, "1.00000e+00"}, {1, 'f', 5, "1.00000"}, {1, 'g', 5, "1"}, {1, 'g', -1, "1"}, {1, 'x', -1, "0x1p+00"}, {1, 'x', 5, "0x1.00000p+00"}, {20, 'g', -1, "20"}, {20, 'x', -1, "0x1.4p+04"}, {1234567.8, 'g', -1, "1.2345678e+06"}, {1234567.8, 'x', -1, "0x1.2d687cccccccdp+20"}, {200000, 'g', -1, "200000"}, {200000, 'x', -1, "0x1.86ap+17"}, {200000, 'X', -1, "0X1.86AP+17"}, {2000000, 'g', -1, "2e+06"}, {1e10, 'g', -1, "1e+10"}, // g conversion and zero suppression {400, 'g', 2, "4e+02"}, {40, 'g', 2, "40"}, {4, 'g', 2, "4"}, {.4, 'g', 2, "0.4"}, {.04, 'g', 2, "0.04"}, {.004, 'g', 2, "0.004"}, {.0004, 'g', 2, "0.0004"}, {.00004, 'g', 2, "4e-05"}, {.000004, 'g', 2, "4e-06"}, {0, 'e', 5, "0.00000e+00"}, {0, 'f', 5, "0.00000"}, {0, 'g', 5, "0"}, {0, 'g', -1, "0"}, {0, 'x', 5, "0x0.00000p+00"}, {-1, 'e', 5, "-1.00000e+00"}, {-1, 'f', 5, "-1.00000"}, {-1, 'g', 5, "-1"}, {-1, 'g', -1, "-1"}, {12, 'e', 5, "1.20000e+01"}, {12, 'f', 5, "12.00000"}, {12, 'g', 5, "12"}, {12, 'g', -1, "12"}, {123456700, 'e', 5, "1.23457e+08"}, {123456700, 'f', 5, "123456700.00000"}, {123456700, 'g', 5, "1.2346e+08"}, {123456700, 'g', -1, "1.234567e+08"}, {1.2345e6, 'e', 5, "1.23450e+06"}, {1.2345e6, 'f', 5, "1234500.00000"}, {1.2345e6, 'g', 5, "1.2345e+06"}, // Round to even {1.2345e6, 'e', 3, "1.234e+06"}, {1.2355e6, 'e', 3, "1.236e+06"}, {1.2345, 'f', 3, "1.234"}, {1.2355, 'f', 3, "1.236"}, {1234567890123456.5, 'e', 15, "1.234567890123456e+15"}, {1234567890123457.5, 'e', 15, "1.234567890123458e+15"}, {108678236358137.625, 'g', -1, "1.0867823635813762e+14"}, {1e23, 'e', 17, "9.99999999999999916e+22"}, {1e23, 'f', 17, "99999999999999991611392.00000000000000000"}, {1e23, 'g', 17, "9.9999999999999992e+22"}, {1e23, 'e', -1, "1e+23"}, {1e23, 'f', -1, "100000000000000000000000"}, {1e23, 'g', -1, "1e+23"}, {below1e23, 'e', 17, "9.99999999999999748e+22"}, {below1e23, 'f', 17, "99999999999999974834176.00000000000000000"}, {below1e23, 'g', 17, "9.9999999999999975e+22"}, {below1e23, 'e', -1, "9.999999999999997e+22"}, {below1e23, 'f', -1, "99999999999999970000000"}, {below1e23, 'g', -1, "9.999999999999997e+22"}, {above1e23, 'e', 17, "1.00000000000000008e+23"}, {above1e23, 'f', 17, "100000000000000008388608.00000000000000000"}, {above1e23, 'g', 17, "1.0000000000000001e+23"}, {above1e23, 'e', -1, "1.0000000000000001e+23"}, {above1e23, 'f', -1, "100000000000000010000000"}, {above1e23, 'g', -1, "1.0000000000000001e+23"}, {fdiv(5e-304, 1e20), 'g', -1, "5e-324"}, // avoid constant arithmetic {fdiv(-5e-304, 1e20), 'g', -1, "-5e-324"}, // avoid constant arithmetic {32, 'g', -1, "32"}, {32, 'g', 0, "3e+01"}, {100, 'x', -1, "0x1.9p+06"}, {100, 'y', -1, "%y"}, {math.NaN(), 'g', -1, "NaN"}, {-math.NaN(), 'g', -1, "NaN"}, {math.Inf(0), 'g', -1, "+Inf"}, {math.Inf(-1), 'g', -1, "-Inf"}, {-math.Inf(0), 'g', -1, "-Inf"}, {-1, 'b', -1, "-4503599627370496p-52"}, // fixed bugs {0.9, 'f', 1, "0.9"}, {0.09, 'f', 1, "0.1"}, {0.0999, 'f', 1, "0.1"}, {0.05, 'f', 1, "0.1"}, {0.05, 'f', 0, "0"}, {0.5, 'f', 1, "0.5"}, {0.5, 'f', 0, "0"}, {1.5, 'f', 0, "2"}, // https://www.exploringbinary.com/java-hangs-when-converting-2-2250738585072012e-308/ {2.2250738585072012e-308, 'g', -1, "2.2250738585072014e-308"}, // https://www.exploringbinary.com/php-hangs-on-numeric-value-2-2250738585072011e-308/ {2.2250738585072011e-308, 'g', -1, "2.225073858507201e-308"}, // Issue 2625. {383260575764816448, 'f', 0, "383260575764816448"}, {383260575764816448, 'g', -1, "3.8326057576481645e+17"}, // Issue 29491. {498484681984085570, 'f', -1, "498484681984085570"}, {-5.8339553793802237e+23, 'g', -1, "-5.8339553793802237e+23"}, // Issue 52187 {123.45, '?', 0, "%?"}, {123.45, '?', 1, "%?"}, {123.45, '?', -1, "%?"}, // rounding {2.275555555555555, 'x', -1, "0x1.23456789abcdep+01"}, {2.275555555555555, 'x', 0, "0x1p+01"}, {2.275555555555555, 'x', 2, "0x1.23p+01"}, {2.275555555555555, 'x', 16, "0x1.23456789abcde000p+01"}, {2.275555555555555, 'x', 21, "0x1.23456789abcde00000000p+01"}, {2.2755555510520935, 'x', -1, "0x1.2345678p+01"}, {2.2755555510520935, 'x', 6, "0x1.234568p+01"}, {2.275555431842804, 'x', -1, "0x1.2345668p+01"}, {2.275555431842804, 'x', 6, "0x1.234566p+01"}, {3.999969482421875, 'x', -1, "0x1.ffffp+01"}, {3.999969482421875, 'x', 4, "0x1.ffffp+01"}, {3.999969482421875, 'x', 3, "0x1.000p+02"}, {3.999969482421875, 'x', 2, "0x1.00p+02"}, {3.999969482421875, 'x', 1, "0x1.0p+02"}, {3.999969482421875, 'x', 0, "0x1p+02"}, } func TestFtoa(t *testing.T) { for i := 0; i < len(ftoatests); i++ { test := &ftoatests[i] s := FormatFloat(test.f, test.fmt, test.prec, 64) if s != test.s { t.Error("testN=64", test.f, string(test.fmt), test.prec, "want", test.s, "got", s) } x := AppendFloat([]byte("abc"), test.f, test.fmt, test.prec, 64) if string(x) != "abc"+test.s { t.Error("AppendFloat testN=64", test.f, string(test.fmt), test.prec, "want", "abc"+test.s, "got", string(x)) } if float64(float32(test.f)) == test.f && test.fmt != 'b' { s := FormatFloat(test.f, test.fmt, test.prec, 32) if s != test.s { t.Error("testN=32", test.f, string(test.fmt), test.prec, "want", test.s, "got", s) } x := AppendFloat([]byte("abc"), test.f, test.fmt, test.prec, 32) if string(x) != "abc"+test.s { t.Error("AppendFloat testN=32", test.f, string(test.fmt), test.prec, "want", "abc"+test.s, "got", string(x)) } } } } func TestFtoaPowersOfTwo(t *testing.T) { for exp := -2048; exp <= 2048; exp++ { f := math.Ldexp(1, exp) if !math.IsInf(f, 0) { s := FormatFloat(f, 'e', -1, 64) if x, _ := ParseFloat(s, 64); x != f { t.Errorf("failed roundtrip %v => %s => %v", f, s, x) } } f32 := float32(f) if !math.IsInf(float64(f32), 0) { s := FormatFloat(float64(f32), 'e', -1, 32) if x, _ := ParseFloat(s, 32); float32(x) != f32 { t.Errorf("failed roundtrip %v => %s => %v", f32, s, float32(x)) } } } } func TestFtoaRandom(t *testing.T) { N := int(1e4) if testing.Short() { N = 100 } t.Logf("testing %d random numbers with fast and slow FormatFloat", N) for i := 0; i < N; i++ { bits := uint64(rand.Uint32())<<32 | uint64(rand.Uint32()) x := math.Float64frombits(bits) shortFast := FormatFloat(x, 'g', -1, 64) SetOptimize(false) shortSlow := FormatFloat(x, 'g', -1, 64) SetOptimize(true) if shortSlow != shortFast { t.Errorf("%b printed as %s, want %s", x, shortFast, shortSlow) } prec := rand.Intn(12) + 5 shortFast = FormatFloat(x, 'e', prec, 64) SetOptimize(false) shortSlow = FormatFloat(x, 'e', prec, 64) SetOptimize(true) if shortSlow != shortFast { t.Errorf("%b printed as %s, want %s", x, shortFast, shortSlow) } } } func TestFormatFloatInvalidBitSize(t *testing.T) { defer func() { if r := recover(); r == nil { t.Fatalf("expected panic due to invalid bitSize") } }() _ = FormatFloat(3.14, 'g', -1, 100) } var ftoaBenches = []struct { name string float float64 fmt byte prec int bitSize int }{ {"Decimal", 33909, 'g', -1, 64}, {"Float", 339.7784, 'g', -1, 64}, {"Exp", -5.09e75, 'g', -1, 64}, {"NegExp", -5.11e-95, 'g', -1, 64}, {"LongExp", 1.234567890123456e-78, 'g', -1, 64}, {"Big", 123456789123456789123456789, 'g', -1, 64}, {"BinaryExp", -1, 'b', -1, 64}, {"32Integer", 33909, 'g', -1, 32}, {"32ExactFraction", 3.375, 'g', -1, 32}, {"32Point", 339.7784, 'g', -1, 32}, {"32Exp", -5.09e25, 'g', -1, 32}, {"32NegExp", -5.11e-25, 'g', -1, 32}, {"32Shortest", 1.234567e-8, 'g', -1, 32}, {"32Fixed8Hard", math.Ldexp(15961084, -125), 'e', 8, 32}, {"32Fixed9Hard", math.Ldexp(14855922, -83), 'e', 9, 32}, {"64Fixed1", 123456, 'e', 3, 64}, {"64Fixed2", 123.456, 'e', 3, 64}, {"64Fixed3", 1.23456e+78, 'e', 3, 64}, {"64Fixed4", 1.23456e-78, 'e', 3, 64}, {"64Fixed12", 1.23456e-78, 'e', 12, 64}, {"64Fixed16", 1.23456e-78, 'e', 16, 64}, // From testdata/testfp.txt {"64Fixed12Hard", math.Ldexp(6965949469487146, -249), 'e', 12, 64}, {"64Fixed17Hard", math.Ldexp(8887055249355788, 665), 'e', 17, 64}, {"64Fixed18Hard", math.Ldexp(6994187472632449, 690), 'e', 18, 64}, // Trigger slow path (see issue #15672). // The shortest is: 8.034137530808823e+43 {"Slowpath64", 8.03413753080882349e+43, 'e', -1, 64}, // This denormal is pathological because the lower/upper // halfways to neighboring floats are: // 622666234635.321003e-320 ~= 622666234635.321e-320 // 622666234635.321497e-320 ~= 622666234635.3215e-320 // making it hard to find the 3rd digit {"SlowpathDenormal64", 622666234635.3213e-320, 'e', -1, 64}, } func BenchmarkFormatFloat(b *testing.B) { for _, c := range ftoaBenches { b.Run(c.name, func(b *testing.B) { for i := 0; i < b.N; i++ { FormatFloat(c.float, c.fmt, c.prec, c.bitSize) } }) } } func BenchmarkAppendFloat(b *testing.B) { dst := make([]byte, 30) for _, c := range ftoaBenches { b.Run(c.name, func(b *testing.B) { for i := 0; i < b.N; i++ { AppendFloat(dst[:0], c.float, c.fmt, c.prec, c.bitSize) } }) } }