package decimal import ( "math" "math/rand" "reflect" "testing" ) func TestRoundToDecimalDigits(t *testing.T) { f := func(f float64, digits int, resultExpected float64) { t.Helper() result := RoundToDecimalDigits(f, digits) if math.IsNaN(result) { if IsStaleNaN(resultExpected) { if !IsStaleNaN(result) { t.Fatalf("unexpected stale mark value; got %016X; want %016X", math.Float64bits(result), staleNaNBits) } return } if !math.IsNaN(resultExpected) { t.Fatalf("unexpected result; got %v; want %v", result, resultExpected) } return } if result != resultExpected { t.Fatalf("unexpected result; got %v; want %v", result, resultExpected) } } f(12.34, 0, 12) f(12.57, 0, 13) f(-1.578, 2, -1.58) f(-1.578, 3, -1.578) f(1234, -2, 1200) f(1235, -1, 1240) f(1234, 0, 1234) f(1234.6, 0, 1235) f(123.4e-99, 99, 123e-99) f(nan, 10, nan) f(StaleNaN, 10, StaleNaN) } var nan = math.NaN() func TestRoundToSignificantFigures(t *testing.T) { f := func(f float64, digits int, resultExpected float64) { t.Helper() result := RoundToSignificantFigures(f, digits) if math.IsNaN(result) { if IsStaleNaN(resultExpected) { if !IsStaleNaN(result) { t.Fatalf("unexpected stale mark value; got %016X; want %016X", math.Float64bits(result), staleNaNBits) } return } if !math.IsNaN(resultExpected) { t.Fatalf("unexpected result; got %v; want %v", result, resultExpected) } return } if result != resultExpected { t.Fatalf("unexpected result; got %v; want %v", result, resultExpected) } } f(1234, 0, 1234) f(-12.34, 20, -12.34) f(12, 1, 10) f(25, 1, 30) f(2.5, 1, 3) f(-0.56, 1, -0.6) f(1234567, 3, 1230000) f(-1.234567, 4, -1.235) f(nan, 10, nan) f(StaleNaN, 10, StaleNaN) } func TestPositiveFloatToDecimal(t *testing.T) { f := func(f float64, decimalExpected int64, exponentExpected int16) { t.Helper() decimal, exponent := positiveFloatToDecimal(f) if decimal != decimalExpected { t.Fatalf("unexpected decimal for positiveFloatToDecimal(%f); got %d; want %d", f, decimal, decimalExpected) } if exponent != exponentExpected { t.Fatalf("unexpected exponent for positiveFloatToDecimal(%f); got %d; want %d", f, exponent, exponentExpected) } } f(0, 0, 1) // The exponent is 1 is OK here. See comment in positiveFloatToDecimal. f(1, 1, 0) f(30, 3, 1) f(12345678900000000, 123456789, 8) f(12345678901234567, 12345678901234568, 0) f(1234567890123456789, 12345678901234567, 2) f(12345678901234567890, 12345678901234567, 3) f(18446744073670737131, 18446744073670737, 3) f(123456789012345678901, 12345678901234568, 4) f(1<<53, 1<<53, 0) f(1<<54, 18014398509481984, 0) f(1<<55, 3602879701896396, 1) f(1<<62, 4611686018427387, 3) f(1<<63, 9223372036854775, 3) f(1<<64, 18446744073709548, 3) f(1<<65, 368934881474191, 5) f(1<<66, 737869762948382, 5) f(1<<67, 1475739525896764, 5) f(0.1, 1, -1) f(123456789012345678e-5, 12345678901234568, -4) f(1234567890123456789e-10, 12345678901234568, -8) f(1234567890123456789e-14, 1234567890123, -8) f(1234567890123456789e-17, 12345678901234, -12) f(1234567890123456789e-20, 1234567890123, -14) f(0.000874957, 874957, -9) f(0.001130435, 1130435, -9) f(vInfPos, 9223372036854775, 3) f(vMax, 9223372036854775, 3) // Extreme cases. See https://github.com/VictoriaMetrics/VictoriaMetrics/issues/1114 f(2.964393875e-100, 2964393875, -109) f(2.964393875e-309, 2964393875, -318) f(2.964393875e-314, 296439387505, -325) f(2.964393875e-315, 2964393875047, -327) f(2.964393875e-320, 296439387505, -331) f(2.964393875e-324, 494065645841, -335) f(2.964393875e-325, 0, 1) f(2.964393875e+307, 2964393875, 298) f(9.964393875e+307, 9964393875, 298) f(1.064393875e+308, 1064393875, 299) f(1.797393875e+308, 1797393875, 299) } func TestAppendDecimalToFloat(t *testing.T) { testAppendDecimalToFloat(t, []int64{}, 0, nil) testAppendDecimalToFloat(t, []int64{0}, 0, []float64{0}) testAppendDecimalToFloat(t, []int64{0}, 10, []float64{0}) testAppendDecimalToFloat(t, []int64{0}, -10, []float64{0}) testAppendDecimalToFloat(t, []int64{-1, -10, 0, 100}, 2, []float64{-1e2, -1e3, 0, 1e4}) testAppendDecimalToFloat(t, []int64{-1, -10, 0, 100}, -2, []float64{-1e-2, -1e-1, 0, 1}) testAppendDecimalToFloat(t, []int64{874957, 1130435}, -5, []float64{8.74957, 1.130435e1}) testAppendDecimalToFloat(t, []int64{874957, 1130435}, -6, []float64{8.74957e-1, 1.130435}) testAppendDecimalToFloat(t, []int64{874957, 1130435}, -7, []float64{8.74957e-2, 1.130435e-1}) testAppendDecimalToFloat(t, []int64{874957, 1130435}, -8, []float64{8.74957e-3, 1.130435e-2}) testAppendDecimalToFloat(t, []int64{874957, 1130435}, -9, []float64{8.74957e-4, 1.130435e-3}) testAppendDecimalToFloat(t, []int64{874957, 1130435}, -10, []float64{8.74957e-5, 1.130435e-4}) testAppendDecimalToFloat(t, []int64{874957, 1130435}, -11, []float64{8.74957e-6, 1.130435e-5}) testAppendDecimalToFloat(t, []int64{874957, 1130435}, -12, []float64{8.74957e-7, 1.130435e-6}) testAppendDecimalToFloat(t, []int64{874957, 1130435}, -13, []float64{8.74957e-8, 1.130435e-7}) testAppendDecimalToFloat(t, []int64{vMax, vMin, 1, 2}, 4, []float64{vMax * 1e4, vMin * 1e4, 1e4, 2e4}) testAppendDecimalToFloat(t, []int64{vMax, vMin, 1, 2}, -4, []float64{vMax * 1e-4, vMin * 1e-4, 1e-4, 2e-4}) testAppendDecimalToFloat(t, []int64{vInfPos, vInfNeg, 1, 2}, 0, []float64{infPos, infNeg, 1, 2}) testAppendDecimalToFloat(t, []int64{vInfPos, vInfNeg, 1, 2}, 4, []float64{infPos, infNeg, 1e4, 2e4}) testAppendDecimalToFloat(t, []int64{vInfPos, vInfNeg, 1, 2}, -4, []float64{infPos, infNeg, 1e-4, 2e-4}) testAppendDecimalToFloat(t, []int64{1234, vStaleNaN, 1, 2}, 0, []float64{1234, StaleNaN, 1, 2}) testAppendDecimalToFloat(t, []int64{vInfPos, vStaleNaN, vMin, 2}, 4, []float64{infPos, StaleNaN, vMin * 1e4, 2e4}) testAppendDecimalToFloat(t, []int64{vInfPos, vStaleNaN, vMin, 2}, -4, []float64{infPos, StaleNaN, vMin * 1e-4, 2e-4}) } func testAppendDecimalToFloat(t *testing.T, va []int64, e int16, fExpected []float64) { t.Helper() f := AppendDecimalToFloat(nil, va, e) if !equalValues(f, fExpected) { t.Fatalf("unexpected f for va=%d, e=%d: got\n%v; expecting\n%v", va, e, f, fExpected) } prefix := []float64{1, 2, 3, 4} f = AppendDecimalToFloat(prefix, va, e) if !equalValues(f[:len(prefix)], prefix) { t.Fatalf("unexpected prefix for va=%d, e=%d; got\n%v; expecting\n%v", va, e, f[:len(prefix)], prefix) } if fExpected == nil { fExpected = []float64{} } if !equalValues(f[len(prefix):], fExpected) { t.Fatalf("unexpected prefixed f for va=%d, e=%d: got\n%v; expecting\n%v", va, e, f[len(prefix):], fExpected) } } func equalValues(a, b []float64) bool { if len(a) != len(b) { return false } for i, va := range a { vb := b[i] if math.Float64bits(va) != math.Float64bits(vb) { return false } } return true } func TestCalibrateScale(t *testing.T) { testCalibrateScale(t, []int64{}, []int64{}, 0, 0, []int64{}, []int64{}, 0) testCalibrateScale(t, []int64{0}, []int64{0}, 0, 0, []int64{0}, []int64{0}, 0) testCalibrateScale(t, []int64{0}, []int64{1}, 0, 0, []int64{0}, []int64{1}, 0) testCalibrateScale(t, []int64{1, 0, 2}, []int64{5, -3}, 0, 1, []int64{1, 0, 2}, []int64{50, -30}, 0) testCalibrateScale(t, []int64{-1, 2}, []int64{5, 6, 3}, 2, -1, []int64{-1000, 2000}, []int64{5, 6, 3}, -1) testCalibrateScale(t, []int64{123, -456, 94}, []int64{-9, 4, -3, 45}, -3, -3, []int64{123, -456, 94}, []int64{-9, 4, -3, 45}, -3) testCalibrateScale(t, []int64{1e18, 1, 0}, []int64{3, 456}, 0, -2, []int64{1e18, 1, 0}, []int64{0, 4}, 0) testCalibrateScale(t, []int64{12345, 678}, []int64{12, -1e17, -3}, -3, 0, []int64{123, 6}, []int64{120, -1e18, -30}, -1) testCalibrateScale(t, []int64{1, 2}, nil, 12, 34, []int64{1, 2}, nil, 12) testCalibrateScale(t, nil, []int64{3, 1}, 12, 34, nil, []int64{3, 1}, 34) testCalibrateScale(t, []int64{923}, []int64{2, 3}, 100, -100, []int64{923e15}, []int64{0, 0}, 85) testCalibrateScale(t, []int64{923}, []int64{2, 3}, -100, 100, []int64{0}, []int64{2e18, 3e18}, 82) testCalibrateScale(t, []int64{123, 456, 789, 135}, []int64{}, -12, -10, []int64{123, 456, 789, 135}, []int64{}, -12) testCalibrateScale(t, []int64{123, 456, 789, 135}, []int64{}, -10, -12, []int64{123, 456, 789, 135}, []int64{}, -10) testCalibrateScale(t, []int64{vInfPos, 1200}, []int64{500, 100}, 0, 0, []int64{vInfPos, 1200}, []int64{500, 100}, 0) testCalibrateScale(t, []int64{vInfPos, 1200}, []int64{500, 100}, 0, 2, []int64{vInfPos, 1200}, []int64{500e2, 100e2}, 0) testCalibrateScale(t, []int64{vInfPos, 1200}, []int64{500, 100}, 0, -2, []int64{vInfPos, 12e4}, []int64{500, 100}, -2) testCalibrateScale(t, []int64{vInfPos, 1200}, []int64{3500, 100}, 0, -3, []int64{vInfPos, 12e5}, []int64{3500, 100}, -3) testCalibrateScale(t, []int64{vInfPos, 1200}, []int64{35, 1}, 0, 40, []int64{vInfPos, 0}, []int64{35e17, 1e17}, 23) testCalibrateScale(t, []int64{vInfPos, 1200}, []int64{35, 1}, 40, 0, []int64{vInfPos, 12e17}, []int64{0, 0}, 25) testCalibrateScale(t, []int64{vInfNeg, 1200}, []int64{35, 1}, 35, -5, []int64{vInfNeg, 12e17}, []int64{0, 0}, 20) testCalibrateScale(t, []int64{vMax, vMin, 123}, []int64{100}, 0, 3, []int64{vMax, vMin, 123}, []int64{100e3}, 0) testCalibrateScale(t, []int64{vMax, vMin, 123}, []int64{100}, 3, 0, []int64{vMax, vMin, 123}, []int64{0}, 3) testCalibrateScale(t, []int64{vMax, vMin, 123}, []int64{100}, 0, 30, []int64{92233, -92233, 0}, []int64{100e16}, 14) testCalibrateScale(t, []int64{vStaleNaN, vMin, 123}, []int64{100}, 0, 30, []int64{vStaleNaN, -92233, 0}, []int64{100e16}, 14) // See https://github.com/VictoriaMetrics/VictoriaMetrics/issues/805 testCalibrateScale(t, []int64{123}, []int64{vInfPos}, 0, 0, []int64{123}, []int64{vInfPos}, 0) testCalibrateScale(t, []int64{123, vInfPos}, []int64{vInfNeg}, 0, 0, []int64{123, vInfPos}, []int64{vInfNeg}, 0) testCalibrateScale(t, []int64{123, vInfPos, vInfNeg}, []int64{456}, 0, 0, []int64{123, vInfPos, vInfNeg}, []int64{456}, 0) testCalibrateScale(t, []int64{123, vInfPos, vInfNeg, 456}, []int64{}, 0, 0, []int64{123, vInfPos, vInfNeg, 456}, []int64{}, 0) testCalibrateScale(t, []int64{123, vInfPos}, []int64{vInfNeg, 456}, 0, 0, []int64{123, vInfPos}, []int64{vInfNeg, 456}, 0) testCalibrateScale(t, []int64{123, vInfPos}, []int64{vInfNeg, 456}, 0, 10, []int64{123, vInfPos}, []int64{vInfNeg, 456e10}, 0) } func testCalibrateScale(t *testing.T, a, b []int64, ae, be int16, aExpected, bExpected []int64, eExpected int16) { t.Helper() if a == nil { a = []int64{} } if b == nil { b = []int64{} } if aExpected == nil { aExpected = []int64{} } if bExpected == nil { bExpected = []int64{} } aCopy := append([]int64{}, a...) bCopy := append([]int64{}, b...) e := CalibrateScale(aCopy, ae, bCopy, be) if e != eExpected { t.Fatalf("unexpected e for a=%d, b=%d, ae=%d, be=%d; got %d; expecting %d", a, b, ae, be, e, eExpected) } if !reflect.DeepEqual(aCopy, aExpected) { t.Fatalf("unexpected a for b=%d, ae=%d, be=%d; got\n%d; expecting\n%d", b, ae, be, aCopy, aExpected) } if !reflect.DeepEqual(bCopy, bExpected) { t.Fatalf("unexpected b for a=%d, ae=%d, be=%d; got\n%d; expecting\n%d", a, ae, be, bCopy, bExpected) } // Try reverse args. aCopy = append([]int64{}, a...) bCopy = append([]int64{}, b...) e = CalibrateScale(bCopy, be, aCopy, ae) if e != eExpected { t.Fatalf("reverse: unexpected e for a=%d, b=%d, ae=%d, be=%d; got %d; expecting %d", a, b, ae, be, e, eExpected) } if !reflect.DeepEqual(aCopy, aExpected) { t.Fatalf("reverse: unexpected a for b=%d, ae=%d, be=%d; got\n%d; expecting\n%d", b, ae, be, aCopy, aExpected) } if !reflect.DeepEqual(bCopy, bExpected) { t.Fatalf("reverse: unexpected b for a=%d, ae=%d, be=%d; got\n%d; expecting\n%d", a, ae, be, bCopy, bExpected) } } func TestMaxUpExponent(t *testing.T) { f := func(v int64, eExpected int16) { t.Helper() e := maxUpExponent(v) if e != eExpected { t.Fatalf("unexpected e for v=%d; got %d; expecting %d", v, e, eExpected) } } f(vInfPos, 1024) f(vInfNeg, 1024) f(vStaleNaN, 1024) f(vMin, 0) f(vMax, 0) f(0, 1024) f(1, 18) f(12, 17) f(123, 16) f(1234, 15) f(12345, 14) f(123456, 13) f(1234567, 12) f(12345678, 11) f(123456789, 10) f(1234567890, 9) f(12345678901, 8) f(123456789012, 7) f(1234567890123, 6) f(12345678901234, 5) f(123456789012345, 4) f(1234567890123456, 3) f(12345678901234567, 2) f(123456789012345678, 1) f(1234567890123456789, 0) f(923456789012345678, 0) f(92345678901234567, 1) f(9234567890123456, 2) f(923456789012345, 3) f(92345678901234, 4) f(9234567890123, 5) f(923456789012, 6) f(92345678901, 7) f(9234567890, 8) f(923456789, 9) f(92345678, 10) f(9234567, 11) f(923456, 12) f(92345, 13) f(9234, 14) f(923, 15) f(92, 17) f(9, 18) f(-1, 18) f(-12, 17) f(-123, 16) f(-1234, 15) f(-12345, 14) f(-123456, 13) f(-1234567, 12) f(-12345678, 11) f(-123456789, 10) f(-1234567890, 9) f(-12345678901, 8) f(-123456789012, 7) f(-1234567890123, 6) f(-12345678901234, 5) f(-123456789012345, 4) f(-1234567890123456, 3) f(-12345678901234567, 2) f(-123456789012345678, 1) f(-1234567890123456789, 0) f(-923456789012345678, 0) f(-92345678901234567, 1) f(-9234567890123456, 2) f(-923456789012345, 3) f(-92345678901234, 4) f(-9234567890123, 5) f(-923456789012, 6) f(-92345678901, 7) f(-9234567890, 8) f(-923456789, 9) f(-92345678, 10) f(-9234567, 11) f(-923456, 12) f(-92345, 13) f(-9234, 14) f(-923, 15) f(-92, 17) f(-9, 18) } func TestAppendFloatToDecimal(t *testing.T) { // no-op testAppendFloatToDecimal(t, []float64{}, nil, 0) testAppendFloatToDecimal(t, []float64{0}, []int64{0}, 0) testAppendFloatToDecimal(t, []float64{infPos, infNeg, 123}, []int64{vInfPos, vInfNeg, 123}, 0) testAppendFloatToDecimal(t, []float64{infPos, infNeg, 123, 1e-4, 1e32}, []int64{vInfPos, vInfNeg, 0, 0, 1000000000000000000}, 14) testAppendFloatToDecimal(t, []float64{StaleNaN, infNeg, 123, 1e-4, 1e32}, []int64{vStaleNaN, vInfNeg, 0, 0, 1000000000000000000}, 14) testAppendFloatToDecimal(t, []float64{0, -0, 1, -1, 12345678, -123456789}, []int64{0, 0, 1, -1, 12345678, -123456789}, 0) // upExp testAppendFloatToDecimal(t, []float64{-24, 0, 4.123, 0.3}, []int64{-24000, 0, 4123, 300}, -3) testAppendFloatToDecimal(t, []float64{0, 10.23456789, 1e2, 1e-3, 1e-4}, []int64{0, 1023456789, 1e10, 1e5, 1e4}, -8) // downExp testAppendFloatToDecimal(t, []float64{3e17, 7e-2, 5e-7, 45, 7e-1}, []int64{3e18, 0, 0, 450, 7}, -1) testAppendFloatToDecimal(t, []float64{3e18, 1, 0.1, 13}, []int64{3e18, 1, 0, 13}, 0) } func testAppendFloatToDecimal(t *testing.T, fa []float64, daExpected []int64, eExpected int16) { t.Helper() da, e := AppendFloatToDecimal(nil, fa) if e != eExpected { t.Fatalf("unexpected e for fa=%f; got %d; expecting %d", fa, e, eExpected) } if !reflect.DeepEqual(da, daExpected) { t.Fatalf("unexpected da for fa=%f; got\n%d; expecting\n%d", fa, da, daExpected) } daPrefix := []int64{1, 2, 3} da, e = AppendFloatToDecimal(daPrefix, fa) if e != eExpected { t.Fatalf("unexpected e for fa=%f; got %d; expecting %d", fa, e, eExpected) } if !reflect.DeepEqual(da[:len(daPrefix)], daPrefix) { t.Fatalf("unexpected daPrefix for fa=%f; got\n%d; expecting\n%d", fa, da[:len(daPrefix)], daPrefix) } if daExpected == nil { daExpected = []int64{} } if !reflect.DeepEqual(da[len(daPrefix):], daExpected) { t.Fatalf("unexpected da for fa=%f; got\n%d; expecting\n%d", fa, da[len(daPrefix):], daExpected) } } func TestFloatToDecimal(t *testing.T) { f := func(f float64, vExpected int64, eExpected int16) { t.Helper() v, e := FromFloat(f) if v != vExpected { t.Fatalf("unexpected v for f=%e; got %d; expecting %d", f, v, vExpected) } if e != eExpected { t.Fatalf("unexpected e for f=%e; got %d; expecting %d", f, e, eExpected) } } f(0, 0, 0) f(1, 1, 0) f(-1, -1, 0) f(0.9, 9, -1) f(0.99, 99, -2) f(9, 9, 0) f(99, 99, 0) f(20, 2, 1) f(100, 1, 2) f(3000, 3, 3) f(0.123, 123, -3) f(-0.123, -123, -3) f(1.2345, 12345, -4) f(-1.2345, -12345, -4) f(12000, 12, 3) f(-12000, -12, 3) f(1e-30, 1, -30) f(-1e-30, -1, -30) f(1e-260, 1, -260) f(-1e-260, -1, -260) f(321e260, 321, 260) f(-321e260, -321, 260) f(1234567890123, 1234567890123, 0) f(-1234567890123, -1234567890123, 0) f(123e5, 123, 5) f(15e18, 15, 18) f(math.Inf(1), vInfPos, 0) f(math.Inf(-1), vInfNeg, 0) f(StaleNaN, vStaleNaN, 0) f(vInfPos, 9223372036854775, 3) f(vInfNeg, -9223372036854775, 3) f(vMax, 9223372036854775, 3) f(vMin, -9223372036854775, 3) f(1<<63-1, 9223372036854775, 3) f(-1<<63, -9223372036854775, 3) // Test precision loss due to conversionPrecision. f(0.1234567890123456, 12345678901234, -14) f(-123456.7890123456, -12345678901234, -8) } func TestFloatToDecimalRoundtrip(t *testing.T) { f := func(f float64) { t.Helper() v, e := FromFloat(f) fNew := ToFloat(v, e) if !equalFloat(f, fNew) { t.Fatalf("unexpected fNew for v=%d, e=%d; got %g; expecting %g", v, e, fNew, f) } v, e = FromFloat(-f) fNew = ToFloat(v, e) if !equalFloat(-f, fNew) { t.Fatalf("unexepcted fNew for v=%d, e=%d; got %g; expecting %g", v, e, fNew, -f) } } f(0) f(1) f(0.123) f(1.2345) f(12000) f(1e-30) f(1e-260) f(321e260) f(1234567890123) f(12.34567890125) f(1234567.8901256789) f(15e18) f(0.000874957) f(0.001130435) f(2933434554455e245) f(3439234258934e-245) f(float64(vInfPos)) f(float64(vInfNeg)) f(infPos) f(infNeg) f(vMax) f(vMin) f(vStaleNaN) for i := 0; i < 1e4; i++ { v := rand.NormFloat64() f(v) f(v * 1e-6) f(v * 1e6) f(roundFloat(v, 20)) f(roundFloat(v, 10)) f(roundFloat(v, 5)) f(roundFloat(v, 0)) f(roundFloat(v, -5)) f(roundFloat(v, -10)) f(roundFloat(v, -20)) } } func roundFloat(f float64, exp int) float64 { f *= math.Pow10(-exp) return math.Trunc(f) * math.Pow10(exp) } func equalFloat(f1, f2 float64) bool { if math.IsInf(f1, 1) { return math.IsInf(f2, 1) } if math.IsInf(f2, -1) { return math.IsInf(f2, -1) } eps := math.Abs(f1 - f2) return eps == 0 || eps*conversionPrecision < math.Abs(f1)+math.Abs(f2) }