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author | Ian Lance Taylor <ian@gcc.gnu.org> | 2012-10-23 04:31:11 +0000 |
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committer | Ian Lance Taylor <ian@gcc.gnu.org> | 2012-10-23 04:31:11 +0000 |
commit | 4ccad563d2a3559f0557bfb177bcf45144219bdf (patch) | |
tree | 46bb86f514fbf6bad82da48e69a18fb09d878834 /libgo/go/strconv | |
parent | 0b7463235f0e23c624d1911c9b15f531108cc5a6 (diff) | |
download | gcc-4ccad563d2a3559f0557bfb177bcf45144219bdf.zip gcc-4ccad563d2a3559f0557bfb177bcf45144219bdf.tar.gz gcc-4ccad563d2a3559f0557bfb177bcf45144219bdf.tar.bz2 |
libgo: Update to current sources.
From-SVN: r192704
Diffstat (limited to 'libgo/go/strconv')
-rw-r--r-- | libgo/go/strconv/atof.go | 303 | ||||
-rw-r--r-- | libgo/go/strconv/atof_test.go | 128 | ||||
-rw-r--r-- | libgo/go/strconv/decimal.go | 2 | ||||
-rw-r--r-- | libgo/go/strconv/extfloat.go | 336 | ||||
-rw-r--r-- | libgo/go/strconv/ftoa.go | 157 | ||||
-rw-r--r-- | libgo/go/strconv/ftoa_test.go | 74 | ||||
-rw-r--r-- | libgo/go/strconv/itoa_test.go | 34 | ||||
-rw-r--r-- | libgo/go/strconv/strconv_test.go | 67 |
8 files changed, 792 insertions, 309 deletions
diff --git a/libgo/go/strconv/atof.go b/libgo/go/strconv/atof.go index d99117b..c9e243a 100644 --- a/libgo/go/strconv/atof.go +++ b/libgo/go/strconv/atof.go @@ -38,17 +38,28 @@ func equalIgnoreCase(s1, s2 string) bool { } func special(s string) (f float64, ok bool) { - switch { - case equalIgnoreCase(s, "nan"): - return math.NaN(), true - case equalIgnoreCase(s, "-inf"), - equalIgnoreCase(s, "-infinity"): - return math.Inf(-1), true - case equalIgnoreCase(s, "+inf"), - equalIgnoreCase(s, "+infinity"), - equalIgnoreCase(s, "inf"), - equalIgnoreCase(s, "infinity"): - return math.Inf(1), true + if len(s) == 0 { + return + } + switch s[0] { + default: + return + case '+': + if equalIgnoreCase(s, "+inf") || equalIgnoreCase(s, "+infinity") { + return math.Inf(1), true + } + case '-': + if equalIgnoreCase(s, "-inf") || equalIgnoreCase(s, "-infinity") { + return math.Inf(-1), true + } + case 'n', 'N': + if equalIgnoreCase(s, "nan") { + return math.NaN(), true + } + case 'i', 'I': + if equalIgnoreCase(s, "inf") || equalIgnoreCase(s, "infinity") { + return math.Inf(1), true + } } return } @@ -143,6 +154,105 @@ func (b *decimal) set(s string) (ok bool) { return } +// readFloat reads a decimal mantissa and exponent from a float +// string representation. It sets ok to false if the number could +// not fit return types or is invalid. +func readFloat(s string) (mantissa uint64, exp int, neg, trunc, ok bool) { + const uint64digits = 19 + i := 0 + + // optional sign + if i >= len(s) { + return + } + switch { + case s[i] == '+': + i++ + case s[i] == '-': + neg = true + i++ + } + + // digits + sawdot := false + sawdigits := false + nd := 0 + ndMant := 0 + dp := 0 + for ; i < len(s); i++ { + switch c := s[i]; true { + case c == '.': + if sawdot { + return + } + sawdot = true + dp = nd + continue + + case '0' <= c && c <= '9': + sawdigits = true + if c == '0' && nd == 0 { // ignore leading zeros + dp-- + continue + } + nd++ + if ndMant < uint64digits { + mantissa *= 10 + mantissa += uint64(c - '0') + ndMant++ + } else if s[i] != '0' { + trunc = true + } + continue + } + break + } + if !sawdigits { + return + } + if !sawdot { + dp = nd + } + + // optional exponent moves decimal point. + // if we read a very large, very long number, + // just be sure to move the decimal point by + // a lot (say, 100000). it doesn't matter if it's + // not the exact number. + if i < len(s) && (s[i] == 'e' || s[i] == 'E') { + i++ + if i >= len(s) { + return + } + esign := 1 + if s[i] == '+' { + i++ + } else if s[i] == '-' { + i++ + esign = -1 + } + if i >= len(s) || s[i] < '0' || s[i] > '9' { + return + } + e := 0 + for ; i < len(s) && '0' <= s[i] && s[i] <= '9'; i++ { + if e < 10000 { + e = e*10 + int(s[i]) - '0' + } + } + dp += e * esign + } + + if i != len(s) { + return + } + + exp = dp - ndMant + ok = true + return + +} + // decimal power of ten to binary power of two. var powtab = []int{1, 3, 6, 9, 13, 16, 19, 23, 26} @@ -244,19 +354,6 @@ out: return bits, overflow } -// Compute exact floating-point integer from d's digits. -// Caller is responsible for avoiding overflow. -func (d *decimal) atof64int() float64 { - f := 0.0 - for i := 0; i < d.nd; i++ { - f = f*10 + float64(d.d[i]-'0') - } - if d.neg { - f = -f - } - return f -} - func (d *decimal) atof32int() float32 { f := float32(0) for i := 0; i < d.nd; i++ { @@ -268,18 +365,6 @@ func (d *decimal) atof32int() float32 { return f } -// Reads a uint64 decimal mantissa, which might be truncated. -func (d *decimal) atou64() (mant uint64, digits int) { - const uint64digits = 19 - for i, c := range d.d[:d.nd] { - if i == uint64digits { - return mant, i - } - mant = 10*mant + uint64(c-'0') - } - return mant, d.nd -} - // Exact powers of 10. var float64pow10 = []float64{ 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, @@ -288,17 +373,15 @@ var float64pow10 = []float64{ } var float32pow10 = []float32{1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10} -// If possible to convert decimal d to 64-bit float f exactly, +// If possible to convert decimal representation to 64-bit float f exactly, // entirely in floating-point math, do so, avoiding the expense of decimalToFloatBits. // Three common cases: // value is exact integer // value is exact integer * exact power of ten // value is exact integer / exact power of ten // These all produce potentially inexact but correctly rounded answers. -func (d *decimal) atof64() (f float64, ok bool) { - // Exact integers are <= 10^15. - // Exact powers of ten are <= 10^22. - if d.nd > 15 { +func atof64exact(mantissa uint64, exp int, neg bool) (f float64, ok bool) { + if mantissa>>float64info.mantbits != 0 { return } // gccgo gets this wrong on 32-bit i386 when not using -msse. @@ -306,56 +389,63 @@ func (d *decimal) atof64() (f float64, ok bool) { if runtime.GOARCH == "386" { return } + f = float64(mantissa) + if neg { + f = -f + } switch { - case d.dp == d.nd: // int - f := d.atof64int() + case exp == 0: + // an integer. return f, true - - case d.dp > d.nd && d.dp <= 15+22: // int * 10^k - f := d.atof64int() - k := d.dp - d.nd + // Exact integers are <= 10^15. + // Exact powers of ten are <= 10^22. + case exp > 0 && exp <= 15+22: // int * 10^k // If exponent is big but number of digits is not, // can move a few zeros into the integer part. - if k > 22 { - f *= float64pow10[k-22] - k = 22 + if exp > 22 { + f *= float64pow10[exp-22] + exp = 22 } - return f * float64pow10[k], true - - case d.dp < d.nd && d.nd-d.dp <= 22: // int / 10^k - f := d.atof64int() - return f / float64pow10[d.nd-d.dp], true + if f > 1e15 || f < -1e15 { + // the exponent was really too large. + return + } + return f * float64pow10[exp], true + case exp < 0 && exp >= -22: // int / 10^k + return f / float64pow10[-exp], true } return } -// If possible to convert decimal d to 32-bit float f exactly, +// If possible to compute mantissa*10^exp to 32-bit float f exactly, // entirely in floating-point math, do so, avoiding the machinery above. -func (d *decimal) atof32() (f float32, ok bool) { - // Exact integers are <= 10^7. - // Exact powers of ten are <= 10^10. - if d.nd > 7 { +func atof32exact(mantissa uint64, exp int, neg bool) (f float32, ok bool) { + if mantissa>>float32info.mantbits != 0 { return } + f = float32(mantissa) + if neg { + f = -f + } switch { - case d.dp == d.nd: // int - f := d.atof32int() + case exp == 0: return f, true - - case d.dp > d.nd && d.dp <= 7+10: // int * 10^k - f := d.atof32int() - k := d.dp - d.nd + // Exact integers are <= 10^7. + // Exact powers of ten are <= 10^10. + case exp > 0 && exp <= 7+10: // int * 10^k // If exponent is big but number of digits is not, // can move a few zeros into the integer part. - if k > 10 { - f *= float32pow10[k-10] - k = 10 + if exp > 10 { + f *= float32pow10[exp-10] + exp = 10 } - return f * float32pow10[k], true - - case d.dp < d.nd && d.nd-d.dp <= 10: // int / 10^k - f := d.atof32int() - return f / float32pow10[d.nd-d.dp], true + if f > 1e7 || f < -1e7 { + // the exponent was really too large. + return + } + return f * float32pow10[exp], true + case exp < 0 && exp >= -10: // int / 10^k + return f / float32pow10[-exp], true } return } @@ -367,15 +457,32 @@ func atof32(s string) (f float32, err error) { return float32(val), nil } + if optimize { + // Parse mantissa and exponent. + mantissa, exp, neg, trunc, ok := readFloat(s) + if ok { + // Try pure floating-point arithmetic conversion. + if !trunc { + if f, ok := atof32exact(mantissa, exp, neg); ok { + return f, nil + } + } + // Try another fast path. + ext := new(extFloat) + if ok := ext.AssignDecimal(mantissa, exp, neg, trunc, &float32info); ok { + b, ovf := ext.floatBits(&float32info) + f = math.Float32frombits(uint32(b)) + if ovf { + err = rangeError(fnParseFloat, s) + } + return f, err + } + } + } var d decimal if !d.set(s) { return 0, syntaxError(fnParseFloat, s) } - if optimize { - if f, ok := d.atof32(); ok { - return f, nil - } - } b, ovf := d.floatBits(&float32info) f = math.Float32frombits(uint32(b)) if ovf { @@ -389,26 +496,32 @@ func atof64(s string) (f float64, err error) { return val, nil } - var d decimal - if !d.set(s) { - return 0, syntaxError(fnParseFloat, s) - } if optimize { - if f, ok := d.atof64(); ok { - return f, nil - } - - // Try another fast path. - ext := new(extFloat) - if ok := ext.AssignDecimal(&d); ok { - b, ovf := ext.floatBits() - f = math.Float64frombits(b) - if ovf { - err = rangeError(fnParseFloat, s) + // Parse mantissa and exponent. + mantissa, exp, neg, trunc, ok := readFloat(s) + if ok { + // Try pure floating-point arithmetic conversion. + if !trunc { + if f, ok := atof64exact(mantissa, exp, neg); ok { + return f, nil + } + } + // Try another fast path. + ext := new(extFloat) + if ok := ext.AssignDecimal(mantissa, exp, neg, trunc, &float64info); ok { + b, ovf := ext.floatBits(&float64info) + f = math.Float64frombits(b) + if ovf { + err = rangeError(fnParseFloat, s) + } + return f, err } - return f, err } } + var d decimal + if !d.set(s) { + return 0, syntaxError(fnParseFloat, s) + } b, ovf := d.floatBits(&float64info) f = math.Float64frombits(b) if ovf { diff --git a/libgo/go/strconv/atof_test.go b/libgo/go/strconv/atof_test.go index 5995023..b4f3a6f 100644 --- a/libgo/go/strconv/atof_test.go +++ b/libgo/go/strconv/atof_test.go @@ -134,6 +134,54 @@ var atoftests = []atofTest{ {"1.00000000000000011102230246251565404236316680908203125" + strings.Repeat("0", 10000) + "1", "1.0000000000000002", nil}, } +var atof32tests = []atofTest{ + // Exactly halfway between 1 and the next float32. + // Round to even (down). + {"1.000000059604644775390625", "1", nil}, + // Slightly lower. + {"1.000000059604644775390624", "1", nil}, + // Slightly higher. + {"1.000000059604644775390626", "1.0000001", nil}, + // Slightly higher, but you have to read all the way to the end. + {"1.000000059604644775390625" + strings.Repeat("0", 10000) + "1", "1.0000001", nil}, + + // largest float32: (1<<128) * (1 - 2^-24) + {"340282346638528859811704183484516925440", "3.4028235e+38", nil}, + {"-340282346638528859811704183484516925440", "-3.4028235e+38", nil}, + // next float32 - too large + {"3.4028236e38", "+Inf", ErrRange}, + {"-3.4028236e38", "-Inf", ErrRange}, + // the border is 3.40282356779...e+38 + // borderline - okay + {"3.402823567e38", "3.4028235e+38", nil}, + {"-3.402823567e38", "-3.4028235e+38", nil}, + // borderline - too large + {"3.4028235678e38", "+Inf", ErrRange}, + {"-3.4028235678e38", "-Inf", ErrRange}, + + // Denormals: less than 2^-126 + {"1e-38", "1e-38", nil}, + {"1e-39", "1e-39", nil}, + {"1e-40", "1e-40", nil}, + {"1e-41", "1e-41", nil}, + {"1e-42", "1e-42", nil}, + {"1e-43", "1e-43", nil}, + {"1e-44", "1e-44", nil}, + {"6e-45", "6e-45", nil}, // 4p-149 = 5.6e-45 + {"5e-45", "6e-45", nil}, + // Smallest denormal + {"1e-45", "1e-45", nil}, // 1p-149 = 1.4e-45 + {"2e-45", "1e-45", nil}, + + // 2^92 = 8388608p+69 = 4951760157141521099596496896 (4.9517602e27) + // is an exact power of two that needs 8 decimal digits to be correctly + // parsed back. + // The float32 before is 16777215p+68 = 4.95175986e+27 + // The halfway is 4.951760009. A bad algorithm that thinks the previous + // float32 is 8388607p+69 will shorten incorrectly to 4.95176e+27. + {"4951760157141521099596496896", "4.9517602e+27", nil}, +} + type atofSimpleTest struct { x float64 s string @@ -154,6 +202,12 @@ func init() { test.err = &NumError{"ParseFloat", test.in, test.err} } } + for i := range atof32tests { + test := &atof32tests[i] + if test.err != nil { + test.err = &NumError{"ParseFloat", test.in, test.err} + } + } // Generate random inputs for tests and benchmarks rand.Seed(time.Now().UnixNano()) @@ -206,6 +260,19 @@ func testAtof(t *testing.T, opt bool) { } } } + for _, test := range atof32tests { + out, err := ParseFloat(test.in, 32) + out32 := float32(out) + if float64(out32) != out { + t.Errorf("ParseFloat(%v, 32) = %v, not a float32 (closest is %v)", test.in, out, float64(out32)) + continue + } + outs := FormatFloat(float64(out32), 'g', -1, 32) + if outs != test.out || !reflect.DeepEqual(err, test.err) { + t.Errorf("ParseFloat(%v, 32) = %v, %v want %v, %v # %v", + test.in, out32, err, test.out, test.err, out) + } + } SetOptimize(oldopt) } @@ -264,6 +331,35 @@ func TestRoundTrip(t *testing.T) { } } +// TestRoundTrip32 tries a fraction of all finite positive float32 values. +func TestRoundTrip32(t *testing.T) { + step := uint32(997) + if testing.Short() { + step = 99991 + } + count := 0 + for i := uint32(0); i < 0xff<<23; i += step { + f := math.Float32frombits(i) + if i&1 == 1 { + f = -f // negative + } + s := FormatFloat(float64(f), 'g', -1, 32) + + parsed, err := ParseFloat(s, 32) + parsed32 := float32(parsed) + switch { + case err != nil: + t.Errorf("ParseFloat(%q, 32) gave error %s", s, err) + case float64(parsed32) != parsed: + t.Errorf("ParseFloat(%q, 32) = %v, not a float32 (nearest is %v)", s, parsed, parsed32) + case parsed32 != f: + t.Errorf("ParseFloat(%q, 32) = %b (expected %b)", s, parsed32, f) + } + count++ + } + t.Logf("tested %d float32's", count) +} + func BenchmarkAtof64Decimal(b *testing.B) { for i := 0; i < b.N; i++ { ParseFloat("33909", 64) @@ -299,3 +395,35 @@ func BenchmarkAtof64RandomFloats(b *testing.B) { ParseFloat(benchmarksRandomNormal[i%1024], 64) } } + +func BenchmarkAtof32Decimal(b *testing.B) { + for i := 0; i < b.N; i++ { + ParseFloat("33909", 32) + } +} + +func BenchmarkAtof32Float(b *testing.B) { + for i := 0; i < b.N; i++ { + ParseFloat("339.778", 32) + } +} + +func BenchmarkAtof32FloatExp(b *testing.B) { + for i := 0; i < b.N; i++ { + ParseFloat("12.3456e32", 32) + } +} + +var float32strings [4096]string + +func BenchmarkAtof32Random(b *testing.B) { + n := uint32(997) + for i := range float32strings { + n = (99991*n + 42) % (0xff << 23) + float32strings[i] = FormatFloat(float64(math.Float32frombits(n)), 'g', -1, 32) + } + b.ResetTimer() + for i := 0; i < b.N; i++ { + ParseFloat(float32strings[i%4096], 32) + } +} diff --git a/libgo/go/strconv/decimal.go b/libgo/go/strconv/decimal.go index a75071d..4260128 100644 --- a/libgo/go/strconv/decimal.go +++ b/libgo/go/strconv/decimal.go @@ -79,7 +79,7 @@ func trim(a *decimal) { // Assign v to a. func (a *decimal) Assign(v uint64) { - var buf [50]byte + var buf [24]byte // Write reversed decimal in buf. n := 0 diff --git a/libgo/go/strconv/extfloat.go b/libgo/go/strconv/extfloat.go index aa5e560..6c35201 100644 --- a/libgo/go/strconv/extfloat.go +++ b/libgo/go/strconv/extfloat.go @@ -4,8 +4,6 @@ package strconv -import "math" - // An extFloat represents an extended floating-point number, with more // precision than a float64. It does not try to save bits: the // number represented by the structure is mant*(2^exp), with a negative @@ -127,8 +125,7 @@ var powersOfTen = [...]extFloat{ // floatBits returns the bits of the float64 that best approximates // the extFloat passed as receiver. Overflow is set to true if // the resulting float64 is ±Inf. -func (f *extFloat) floatBits() (bits uint64, overflow bool) { - flt := &float64info +func (f *extFloat) floatBits(flt *floatInfo) (bits uint64, overflow bool) { f.Normalize() exp := f.exp + 63 @@ -140,7 +137,7 @@ func (f *extFloat) floatBits() (bits uint64, overflow bool) { exp += n } - // Extract 1+flt.mantbits bits. + // Extract 1+flt.mantbits bits from the 64-bit mantissa. mant := f.mant >> (63 - flt.mantbits) if f.mant&(1<<(62-flt.mantbits)) != 0 { // Round up. @@ -180,40 +177,24 @@ out: return } -// Assign sets f to the value of x. -func (f *extFloat) Assign(x float64) { - if x < 0 { - x = -x - f.neg = true - } - x, f.exp = math.Frexp(x) - f.mant = uint64(x * float64(1<<64)) - f.exp -= 64 -} - -// AssignComputeBounds sets f to the value of x and returns +// AssignComputeBounds sets f to the floating point value +// defined by mant, exp and precision given by flt. It returns // lower, upper such that any number in the closed interval -// [lower, upper] is converted back to x. -func (f *extFloat) AssignComputeBounds(x float64) (lower, upper extFloat) { - // Special cases. - bits := math.Float64bits(x) - flt := &float64info - neg := bits>>(flt.expbits+flt.mantbits) != 0 - expBiased := int(bits>>flt.mantbits) & (1<<flt.expbits - 1) - mant := bits & (uint64(1)<<flt.mantbits - 1) - - if expBiased == 0 { - // denormalized. - f.mant = mant - f.exp = 1 + flt.bias - int(flt.mantbits) - } else { - f.mant = mant | 1<<flt.mantbits - f.exp = expBiased + flt.bias - int(flt.mantbits) - } +// [lower, upper] is converted back to the same floating point number. +func (f *extFloat) AssignComputeBounds(mant uint64, exp int, neg bool, flt *floatInfo) (lower, upper extFloat) { + f.mant = mant + f.exp = exp - int(flt.mantbits) f.neg = neg + if f.exp <= 0 && mant == (mant>>uint(-f.exp))<<uint(-f.exp) { + // An exact integer + f.mant >>= uint(-f.exp) + f.exp = 0 + return *f, *f + } + expBiased := exp - flt.bias upper = extFloat{mant: 2*f.mant + 1, exp: f.exp - 1, neg: f.neg} - if mant != 0 || expBiased == 1 { + if mant != 1<<flt.mantbits || expBiased == 1 { lower = extFloat{mant: 2*f.mant - 1, exp: f.exp - 1, neg: f.neg} } else { lower = extFloat{mant: 4*f.mant - 1, exp: f.exp - 2, neg: f.neg} @@ -223,20 +204,38 @@ func (f *extFloat) AssignComputeBounds(x float64) (lower, upper extFloat) { // Normalize normalizes f so that the highest bit of the mantissa is // set, and returns the number by which the mantissa was left-shifted. -func (f *extFloat) Normalize() uint { - if f.mant == 0 { +func (f *extFloat) Normalize() (shift uint) { + mant, exp := f.mant, f.exp + if mant == 0 { return 0 } - exp_before := f.exp - for f.mant < (1 << 55) { - f.mant <<= 8 - f.exp -= 8 + if mant>>(64-32) == 0 { + mant <<= 32 + exp -= 32 } - for f.mant < (1 << 63) { - f.mant <<= 1 - f.exp -= 1 + if mant>>(64-16) == 0 { + mant <<= 16 + exp -= 16 } - return uint(exp_before - f.exp) + if mant>>(64-8) == 0 { + mant <<= 8 + exp -= 8 + } + if mant>>(64-4) == 0 { + mant <<= 4 + exp -= 4 + } + if mant>>(64-2) == 0 { + mant <<= 2 + exp -= 2 + } + if mant>>(64-1) == 0 { + mant <<= 1 + exp -= 1 + } + shift = uint(f.exp - exp) + f.mant, f.exp = mant, exp + return } // Multiply sets f to the product f*g: the result is correctly rounded, @@ -264,24 +263,22 @@ var uint64pow10 = [...]uint64{ 1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19, } -// AssignDecimal sets f to an approximate value of the decimal d. It +// AssignDecimal sets f to an approximate value mantissa*10^exp. It // returns true if the value represented by f is guaranteed to be the -// best approximation of d after being rounded to a float64. -func (f *extFloat) AssignDecimal(d *decimal) (ok bool) { +// best approximation of d after being rounded to a float64 or +// float32 depending on flt. +func (f *extFloat) AssignDecimal(mantissa uint64, exp10 int, neg bool, trunc bool, flt *floatInfo) (ok bool) { const uint64digits = 19 const errorscale = 8 - mant10, digits := d.atou64() - exp10 := d.dp - digits errors := 0 // An upper bound for error, computed in errorscale*ulp. - - if digits < d.nd { + if trunc { // the decimal number was truncated. errors += errorscale / 2 } - f.mant = mant10 + f.mant = mantissa f.exp = 0 - f.neg = d.neg + f.neg = neg // Multiply by powers of ten. i := (exp10 - firstPowerOfTen) / stepPowerOfTen @@ -291,9 +288,9 @@ func (f *extFloat) AssignDecimal(d *decimal) (ok bool) { adjExp := (exp10 - firstPowerOfTen) % stepPowerOfTen // We multiply by exp%step - if digits+adjExp <= uint64digits { - // We can multiply the mantissa - f.mant *= uint64(float64pow10[adjExp]) + if adjExp < uint64digits && mantissa < uint64pow10[uint64digits-adjExp] { + // We can multiply the mantissa exactly. + f.mant *= uint64pow10[adjExp] f.Normalize() } else { f.Normalize() @@ -318,10 +315,10 @@ func (f *extFloat) AssignDecimal(d *decimal) (ok bool) { // The 64 bits mantissa is 1 + 52 bits for float64 + 11 extra bits. // // In many cases the approximation will be good enough. - const denormalExp = -1023 - 63 - flt := &float64info + denormalExp := flt.bias - 63 var extrabits uint if f.exp <= denormalExp { + // f.mant * 2^f.exp is smaller than 2^(flt.bias+1). extrabits = uint(63 - flt.mantbits + 1 + uint(denormalExp-f.exp)) } else { extrabits = uint(63 - flt.mantbits) @@ -344,16 +341,17 @@ func (f *extFloat) AssignDecimal(d *decimal) (ok bool) { // f by an approximate power of ten 10^-exp, and returns exp10, so // that f*10^exp10 has the same value as the old f, up to an ulp, // as well as the index of 10^-exp in the powersOfTen table. -// The arguments expMin and expMax constrain the final value of the -// binary exponent of f. -func (f *extFloat) frexp10(expMin, expMax int) (exp10, index int) { - // it is illegal to call this function with a too restrictive exponent range. - if expMax-expMin <= 25 { - panic("strconv: invalid exponent range") - } +func (f *extFloat) frexp10() (exp10, index int) { + // The constants expMin and expMax constrain the final value of the + // binary exponent of f. We want a small integral part in the result + // because finding digits of an integer requires divisions, whereas + // digits of the fractional part can be found by repeatedly multiplying + // by 10. + const expMin = -60 + const expMax = -32 // Find power of ten such that x * 10^n has a binary exponent - // between expMin and expMax - approxExp10 := -(f.exp + 100) * 28 / 93 // log(10)/log(2) is close to 93/28. + // between expMin and expMax. + approxExp10 := ((expMin+expMax)/2 - f.exp) * 28 / 93 // log(10)/log(2) is close to 93/28. i := (approxExp10 - firstPowerOfTen) / stepPowerOfTen Loop: for { @@ -375,26 +373,202 @@ Loop: } // frexp10Many applies a common shift by a power of ten to a, b, c. -func frexp10Many(expMin, expMax int, a, b, c *extFloat) (exp10 int) { - exp10, i := c.frexp10(expMin, expMax) +func frexp10Many(a, b, c *extFloat) (exp10 int) { + exp10, i := c.frexp10() a.Multiply(powersOfTen[i]) b.Multiply(powersOfTen[i]) return } +// FixedDecimal stores in d the first n significant digits +// of the decimal representation of f. It returns false +// if it cannot be sure of the answer. +func (f *extFloat) FixedDecimal(d *decimalSlice, n int) bool { + if f.mant == 0 { + d.nd = 0 + d.dp = 0 + d.neg = f.neg + return true + } + if n == 0 { + panic("strconv: internal error: extFloat.FixedDecimal called with n == 0") + } + // Multiply by an appropriate power of ten to have a reasonable + // number to process. + f.Normalize() + exp10, _ := f.frexp10() + + shift := uint(-f.exp) + integer := uint32(f.mant >> shift) + fraction := f.mant - (uint64(integer) << shift) + ε := uint64(1) // ε is the uncertainty we have on the mantissa of f. + + // Write exactly n digits to d. + needed := n // how many digits are left to write. + integerDigits := 0 // the number of decimal digits of integer. + pow10 := uint64(1) // the power of ten by which f was scaled. + for i, pow := 0, uint64(1); i < 20; i++ { + if pow > uint64(integer) { + integerDigits = i + break + } + pow *= 10 + } + rest := integer + if integerDigits > needed { + // the integral part is already large, trim the last digits. + pow10 = uint64pow10[integerDigits-needed] + integer /= uint32(pow10) + rest -= integer * uint32(pow10) + } else { + rest = 0 + } + + // Write the digits of integer: the digits of rest are omitted. + var buf [32]byte + pos := len(buf) + for v := integer; v > 0; { + v1 := v / 10 + v -= 10 * v1 + pos-- + buf[pos] = byte(v + '0') + v = v1 + } + for i := pos; i < len(buf); i++ { + d.d[i-pos] = buf[i] + } + nd := len(buf) - pos + d.nd = nd + d.dp = integerDigits + exp10 + needed -= nd + + if needed > 0 { + if rest != 0 || pow10 != 1 { + panic("strconv: internal error, rest != 0 but needed > 0") + } + // Emit digits for the fractional part. Each time, 10*fraction + // fits in a uint64 without overflow. + for needed > 0 { + fraction *= 10 + ε *= 10 // the uncertainty scales as we multiply by ten. + if 2*ε > 1<<shift { + // the error is so large it could modify which digit to write, abort. + return false + } + digit := fraction >> shift + d.d[nd] = byte(digit + '0') + fraction -= digit << shift + nd++ + needed-- + } + d.nd = nd + } + + // We have written a truncation of f (a numerator / 10^d.dp). The remaining part + // can be interpreted as a small number (< 1) to be added to the last digit of the + // numerator. + // + // If rest > 0, the amount is: + // (rest<<shift | fraction) / (pow10 << shift) + // fraction being known with a ±ε uncertainty. + // The fact that n > 0 guarantees that pow10 << shift does not overflow a uint64. + // + // If rest = 0, pow10 == 1 and the amount is + // fraction / (1 << shift) + // fraction being known with a ±ε uncertainty. + // + // We pass this information to the rounding routine for adjustment. + + ok := adjustLastDigitFixed(d, uint64(rest)<<shift|fraction, pow10, shift, ε) + if !ok { + return false + } + // Trim trailing zeros. + for i := d.nd - 1; i >= 0; i-- { + if d.d[i] != '0' { + d.nd = i + 1 + break + } + } + return true +} + +// adjustLastDigitFixed assumes d contains the representation of the integral part +// of some number, whose fractional part is num / (den << shift). The numerator +// num is only known up to an uncertainty of size ε, assumed to be less than +// (den << shift)/2. +// +// It will increase the last digit by one to account for correct rounding, typically +// when the fractional part is greater than 1/2, and will return false if ε is such +// that no correct answer can be given. +func adjustLastDigitFixed(d *decimalSlice, num, den uint64, shift uint, ε uint64) bool { + if num > den<<shift { + panic("strconv: num > den<<shift in adjustLastDigitFixed") + } + if 2*ε > den<<shift { + panic("strconv: ε > (den<<shift)/2") + } + if 2*(num+ε) < den<<shift { + return true + } + if 2*(num-ε) > den<<shift { + // increment d by 1. + i := d.nd - 1 + for ; i >= 0; i-- { + if d.d[i] == '9' { + d.nd-- + } else { + break + } + } + if i < 0 { + d.d[0] = '1' + d.nd = 1 + d.dp++ + } else { + d.d[i]++ + } + return true + } + return false +} + // ShortestDecimal stores in d the shortest decimal representation of f // which belongs to the open interval (lower, upper), where f is supposed // to lie. It returns false whenever the result is unsure. The implementation // uses the Grisu3 algorithm. -func (f *extFloat) ShortestDecimal(d *decimal, lower, upper *extFloat) bool { +func (f *extFloat) ShortestDecimal(d *decimalSlice, lower, upper *extFloat) bool { if f.mant == 0 { - d.d[0] = '0' - d.nd = 1 + d.nd = 0 d.dp = 0 d.neg = f.neg + return true + } + if f.exp == 0 && *lower == *f && *lower == *upper { + // an exact integer. + var buf [24]byte + n := len(buf) - 1 + for v := f.mant; v > 0; { + v1 := v / 10 + v -= 10 * v1 + buf[n] = byte(v + '0') + n-- + v = v1 + } + nd := len(buf) - n - 1 + for i := 0; i < nd; i++ { + d.d[i] = buf[n+1+i] + } + d.nd, d.dp = nd, nd + for d.nd > 0 && d.d[d.nd-1] == '0' { + d.nd-- + } + if d.nd == 0 { + d.dp = 0 + } + d.neg = f.neg + return true } - const minExp = -60 - const maxExp = -32 upper.Normalize() // Uniformize exponents. if f.exp > upper.exp { @@ -406,7 +580,7 @@ func (f *extFloat) ShortestDecimal(d *decimal, lower, upper *extFloat) bool { lower.exp = upper.exp } - exp10 := frexp10Many(minExp, maxExp, lower, f, upper) + exp10 := frexp10Many(lower, f, upper) // Take a safety margin due to rounding in frexp10Many, but we lose precision. upper.mant++ lower.mant-- @@ -424,10 +598,12 @@ func (f *extFloat) ShortestDecimal(d *decimal, lower, upper *extFloat) bool { // Count integral digits: there are at most 10. var integerDigits int - for i, pow := range uint64pow10 { - if uint64(integer) >= pow { - integerDigits = i + 1 + for i, pow := 0, uint64(1); i < 20; i++ { + if pow > uint64(integer) { + integerDigits = i + break } + pow *= 10 } for i := 0; i < integerDigits; i++ { pow := uint64pow10[integerDigits-i-1] @@ -475,7 +651,7 @@ func (f *extFloat) ShortestDecimal(d *decimal, lower, upper *extFloat) bool { // d = x-targetDiff*ε, without becoming smaller than x-maxDiff*ε. // It assumes that a decimal digit is worth ulpDecimal*ε, and that // all data is known with a error estimate of ulpBinary*ε. -func adjustLastDigit(d *decimal, currentDiff, targetDiff, maxDiff, ulpDecimal, ulpBinary uint64) bool { +func adjustLastDigit(d *decimalSlice, currentDiff, targetDiff, maxDiff, ulpDecimal, ulpBinary uint64) bool { if ulpDecimal < 2*ulpBinary { // Approximation is too wide. return false diff --git a/libgo/go/strconv/ftoa.go b/libgo/go/strconv/ftoa.go index 8eefbee..8067881 100644 --- a/libgo/go/strconv/ftoa.go +++ b/libgo/go/strconv/ftoa.go @@ -98,42 +98,79 @@ func genericFtoa(dst []byte, val float64, fmt byte, prec, bitSize int) []byte { return fmtB(dst, neg, mant, exp, flt) } + if !optimize { + return bigFtoa(dst, prec, fmt, neg, mant, exp, flt) + } + + var digs decimalSlice + ok := false // Negative precision means "only as much as needed to be exact." shortest := prec < 0 - - d := new(decimal) if shortest { - ok := false - if optimize && bitSize == 64 { - // Try Grisu3 algorithm. - f := new(extFloat) - lower, upper := f.AssignComputeBounds(val) - ok = f.ShortestDecimal(d, &lower, &upper) - } + // Try Grisu3 algorithm. + f := new(extFloat) + lower, upper := f.AssignComputeBounds(mant, exp, neg, flt) + var buf [32]byte + digs.d = buf[:] + ok = f.ShortestDecimal(&digs, &lower, &upper) if !ok { - // Create exact decimal representation. - // The shift is exp - flt.mantbits because mant is a 1-bit integer - // followed by a flt.mantbits fraction, and we are treating it as - // a 1+flt.mantbits-bit integer. - d.Assign(mant) - d.Shift(exp - int(flt.mantbits)) - roundShortest(d, mant, exp, flt) + return bigFtoa(dst, prec, fmt, neg, mant, exp, flt) } // Precision for shortest representation mode. - if prec < 0 { - switch fmt { - case 'e', 'E': - prec = d.nd - 1 - case 'f': - prec = max(d.nd-d.dp, 0) - case 'g', 'G': - prec = d.nd + switch fmt { + case 'e', 'E': + prec = digs.nd - 1 + case 'f': + prec = max(digs.nd-digs.dp, 0) + case 'g', 'G': + prec = digs.nd + } + } else if fmt != 'f' { + // Fixed number of digits. + digits := prec + switch fmt { + case 'e', 'E': + digits++ + case 'g', 'G': + if prec == 0 { + prec = 1 } + digits = prec + } + if digits <= 15 { + // try fast algorithm when the number of digits is reasonable. + var buf [24]byte + digs.d = buf[:] + f := extFloat{mant, exp - int(flt.mantbits), neg} + ok = f.FixedDecimal(&digs, digits) + } + } + if !ok { + return bigFtoa(dst, prec, fmt, neg, mant, exp, flt) + } + return formatDigits(dst, shortest, neg, digs, prec, fmt) +} + +// bigFtoa uses multiprecision computations to format a float. +func bigFtoa(dst []byte, prec int, fmt byte, neg bool, mant uint64, exp int, flt *floatInfo) []byte { + d := new(decimal) + d.Assign(mant) + d.Shift(exp - int(flt.mantbits)) + var digs decimalSlice + shortest := prec < 0 + if shortest { + roundShortest(d, mant, exp, flt) + digs = decimalSlice{d: d.d[:], nd: d.nd, dp: d.dp} + // Precision for shortest representation mode. + switch fmt { + case 'e', 'E': + prec = digs.nd - 1 + case 'f': + prec = max(digs.nd-digs.dp, 0) + case 'g', 'G': + prec = digs.nd } } else { - // Create exact decimal representation. - d.Assign(mant) - d.Shift(exp - int(flt.mantbits)) // Round appropriately. switch fmt { case 'e', 'E': @@ -146,18 +183,22 @@ func genericFtoa(dst []byte, val float64, fmt byte, prec, bitSize int) []byte { } d.Round(prec) } + digs = decimalSlice{d: d.d[:], nd: d.nd, dp: d.dp} } + return formatDigits(dst, shortest, neg, digs, prec, fmt) +} +func formatDigits(dst []byte, shortest bool, neg bool, digs decimalSlice, prec int, fmt byte) []byte { switch fmt { case 'e', 'E': - return fmtE(dst, neg, d, prec, fmt) + return fmtE(dst, neg, digs, prec, fmt) case 'f': - return fmtF(dst, neg, d, prec) + return fmtF(dst, neg, digs, prec) case 'g', 'G': // trailing fractional zeros in 'e' form will be trimmed. eprec := prec - if eprec > d.nd && d.nd >= d.dp { - eprec = d.nd + if eprec > digs.nd && digs.nd >= digs.dp { + eprec = digs.nd } // %e is used if the exponent from the conversion // is less than -4 or greater than or equal to the precision. @@ -165,17 +206,17 @@ func genericFtoa(dst []byte, val float64, fmt byte, prec, bitSize int) []byte { if shortest { eprec = 6 } - exp := d.dp - 1 + exp := digs.dp - 1 if exp < -4 || exp >= eprec { - if prec > d.nd { - prec = d.nd + if prec > digs.nd { + prec = digs.nd } - return fmtE(dst, neg, d, prec-1, fmt+'e'-'g') + return fmtE(dst, neg, digs, prec-1, fmt+'e'-'g') } - if prec > d.dp { - prec = d.nd + if prec > digs.dp { + prec = digs.nd } - return fmtF(dst, neg, d, max(prec-d.dp, 0)) + return fmtF(dst, neg, digs, max(prec-digs.dp, 0)) } // unknown format @@ -283,8 +324,14 @@ func roundShortest(d *decimal, mant uint64, exp int, flt *floatInfo) { } } +type decimalSlice struct { + d []byte + nd, dp int + neg bool +} + // %e: -d.ddddde±dd -func fmtE(dst []byte, neg bool, d *decimal, prec int, fmt byte) []byte { +func fmtE(dst []byte, neg bool, d decimalSlice, prec int, fmt byte) []byte { // sign if neg { dst = append(dst, '-') @@ -300,12 +347,15 @@ func fmtE(dst []byte, neg bool, d *decimal, prec int, fmt byte) []byte { // .moredigits if prec > 0 { dst = append(dst, '.') - for i := 1; i <= prec; i++ { - ch = '0' - if i < d.nd { - ch = d.d[i] - } - dst = append(dst, ch) + i := 1 + m := d.nd + prec + 1 - max(d.nd, prec+1) + for i < m { + dst = append(dst, d.d[i]) + i++ + } + for i <= prec { + dst = append(dst, '0') + i++ } } @@ -335,17 +385,20 @@ func fmtE(dst []byte, neg bool, d *decimal, prec int, fmt byte) []byte { i-- buf[i] = byte(exp + '0') - // leading zeroes - if i > len(buf)-2 { - i-- - buf[i] = '0' + switch i { + case 0: + dst = append(dst, buf[0], buf[1], buf[2]) + case 1: + dst = append(dst, buf[1], buf[2]) + case 2: + // leading zeroes + dst = append(dst, '0', buf[2]) } - - return append(dst, buf[i:]...) + return dst } // %f: -ddddddd.ddddd -func fmtF(dst []byte, neg bool, d *decimal, prec int) []byte { +func fmtF(dst []byte, neg bool, d decimalSlice, prec int) []byte { // sign if neg { dst = append(dst, '-') diff --git a/libgo/go/strconv/ftoa_test.go b/libgo/go/strconv/ftoa_test.go index ee7b7c4..39b8615 100644 --- a/libgo/go/strconv/ftoa_test.go +++ b/libgo/go/strconv/ftoa_test.go @@ -163,6 +163,7 @@ func TestFtoaRandom(t *testing.T) { 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) @@ -170,30 +171,18 @@ func TestFtoaRandom(t *testing.T) { if shortSlow != shortFast { t.Errorf("%b printed as %s, want %s", x, shortFast, shortSlow) } - } -} - -/* This test relies on escape analysis which gccgo does not yet do. -func TestAppendFloatDoesntAllocate(t *testing.T) { - n := numAllocations(func() { - var buf [64]byte - AppendFloat(buf[:0], 1.23, 'g', 5, 64) - }) - want := 1 // TODO(bradfitz): this might be 0, once escape analysis is better - if n != want { - t.Errorf("with local buffer, did %d allocations, want %d", n, want) - } - n = numAllocations(func() { - AppendFloat(globalBuf[:0], 1.23, 'g', 5, 64) - }) - if n != 0 { - t.Errorf("with reused buffer, did %d allocations, want 0", n) + 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 BenchmarkFormatFloatDecimal(b *testing.B) { for i := 0; i < b.N; i++ { FormatFloat(33909, 'g', -1, 64) @@ -224,37 +213,28 @@ func BenchmarkFormatFloatBig(b *testing.B) { } } -func BenchmarkAppendFloatDecimal(b *testing.B) { - dst := make([]byte, 0, 30) +func benchmarkAppendFloat(b *testing.B, f float64, fmt byte, prec, bitSize int) { + dst := make([]byte, 30) for i := 0; i < b.N; i++ { - AppendFloat(dst, 33909, 'g', -1, 64) + AppendFloat(dst[:0], f, fmt, prec, bitSize) } } -func BenchmarkAppendFloat(b *testing.B) { - dst := make([]byte, 0, 30) - for i := 0; i < b.N; i++ { - AppendFloat(dst, 339.7784, 'g', -1, 64) - } -} - -func BenchmarkAppendFloatExp(b *testing.B) { - dst := make([]byte, 0, 30) - for i := 0; i < b.N; i++ { - AppendFloat(dst, -5.09e75, 'g', -1, 64) - } +func BenchmarkAppendFloatDecimal(b *testing.B) { benchmarkAppendFloat(b, 33909, 'g', -1, 64) } +func BenchmarkAppendFloat(b *testing.B) { benchmarkAppendFloat(b, 339.7784, 'g', -1, 64) } +func BenchmarkAppendFloatExp(b *testing.B) { benchmarkAppendFloat(b, -5.09e75, 'g', -1, 64) } +func BenchmarkAppendFloatNegExp(b *testing.B) { benchmarkAppendFloat(b, -5.11e-95, 'g', -1, 64) } +func BenchmarkAppendFloatBig(b *testing.B) { + benchmarkAppendFloat(b, 123456789123456789123456789, 'g', -1, 64) } -func BenchmarkAppendFloatNegExp(b *testing.B) { - dst := make([]byte, 0, 30) - for i := 0; i < b.N; i++ { - AppendFloat(dst, -5.11e-95, 'g', -1, 64) - } -} +func BenchmarkAppendFloat32Integer(b *testing.B) { benchmarkAppendFloat(b, 33909, 'g', -1, 32) } +func BenchmarkAppendFloat32ExactFraction(b *testing.B) { benchmarkAppendFloat(b, 3.375, 'g', -1, 32) } +func BenchmarkAppendFloat32Point(b *testing.B) { benchmarkAppendFloat(b, 339.7784, 'g', -1, 32) } +func BenchmarkAppendFloat32Exp(b *testing.B) { benchmarkAppendFloat(b, -5.09e25, 'g', -1, 32) } +func BenchmarkAppendFloat32NegExp(b *testing.B) { benchmarkAppendFloat(b, -5.11e-25, 'g', -1, 32) } -func BenchmarkAppendFloatBig(b *testing.B) { - dst := make([]byte, 0, 30) - for i := 0; i < b.N; i++ { - AppendFloat(dst, 123456789123456789123456789, 'g', -1, 64) - } -} +func BenchmarkAppendFloat64Fixed1(b *testing.B) { benchmarkAppendFloat(b, 123456, 'e', 3, 64) } +func BenchmarkAppendFloat64Fixed2(b *testing.B) { benchmarkAppendFloat(b, 123.456, 'e', 3, 64) } +func BenchmarkAppendFloat64Fixed3(b *testing.B) { benchmarkAppendFloat(b, 1.23456e+78, 'e', 3, 64) } +func BenchmarkAppendFloat64Fixed4(b *testing.B) { benchmarkAppendFloat(b, 1.23456e-78, 'e', 3, 64) } diff --git a/libgo/go/strconv/itoa_test.go b/libgo/go/strconv/itoa_test.go index 63d2fa4..e0213ae 100644 --- a/libgo/go/strconv/itoa_test.go +++ b/libgo/go/strconv/itoa_test.go @@ -5,7 +5,6 @@ package strconv_test import ( - "runtime" . "strconv" "testing" ) @@ -126,39 +125,6 @@ func TestUitoa(t *testing.T) { } } -func numAllocations(f func()) int { - runtime.GC() - memstats := new(runtime.MemStats) - runtime.ReadMemStats(memstats) - n0 := memstats.Mallocs - f() - runtime.ReadMemStats(memstats) - return int(memstats.Mallocs - n0) -} - -/* This test relies on escape analysis which gccgo does not yet do. - -var globalBuf [64]byte - -func TestAppendUintDoesntAllocate(t *testing.T) { - n := numAllocations(func() { - var buf [64]byte - AppendInt(buf[:0], 123, 10) - }) - want := 1 // TODO(bradfitz): this might be 0, once escape analysis is better - if n != want { - t.Errorf("with local buffer, did %d allocations, want %d", n, want) - } - n = numAllocations(func() { - AppendInt(globalBuf[:0], 123, 10) - }) - if n != 0 { - t.Errorf("with reused buffer, did %d allocations, want 0", n) - } -} - -*/ - func BenchmarkFormatInt(b *testing.B) { for i := 0; i < b.N; i++ { for _, test := range itob64tests { diff --git a/libgo/go/strconv/strconv_test.go b/libgo/go/strconv/strconv_test.go new file mode 100644 index 0000000..5a3beae --- /dev/null +++ b/libgo/go/strconv/strconv_test.go @@ -0,0 +1,67 @@ +// Copyright 2012 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 + +/* + +gccgo does not pass this. + +import ( + "runtime" + . "strconv" + "strings" + "testing" +) + +var ( + globalBuf [64]byte + nextToOne = "1.00000000000000011102230246251565404236316680908203125" + strings.Repeat("0", 10000) + "1" + + mallocTest = []struct { + count int + desc string + fn func() + }{ + // TODO(bradfitz): this might be 0, once escape analysis is better + {1, `AppendInt(localBuf[:0], 123, 10)`, func() { + var localBuf [64]byte + AppendInt(localBuf[:0], 123, 10) + }}, + {0, `AppendInt(globalBuf[:0], 123, 10)`, func() { AppendInt(globalBuf[:0], 123, 10) }}, + // TODO(bradfitz): this might be 0, once escape analysis is better + {1, `AppendFloat(localBuf[:0], 1.23, 'g', 5, 64)`, func() { + var localBuf [64]byte + AppendFloat(localBuf[:0], 1.23, 'g', 5, 64) + }}, + {0, `AppendFloat(globalBuf[:0], 1.23, 'g', 5, 64)`, func() { AppendFloat(globalBuf[:0], 1.23, 'g', 5, 64) }}, + {0, `ParseFloat("123.45", 64)`, func() { ParseFloat("123.45", 64) }}, + {0, `ParseFloat("123.456789123456789", 64)`, func() { ParseFloat("123.456789123456789", 64) }}, + {0, `ParseFloat("1.000000000000000111022302462515654042363166809082031251", 64)`, func() { + ParseFloat("1.000000000000000111022302462515654042363166809082031251", 64) + }}, + {0, `ParseFloat("1.0000000000000001110223024625156540423631668090820312500...001", 64)`, func() { + ParseFloat(nextToOne, 64) + }}, + } +) + +func TestCountMallocs(t *testing.T) { + for _, mt := range mallocTest { + const N = 100 + memstats := new(runtime.MemStats) + runtime.ReadMemStats(memstats) + mallocs := 0 - memstats.Mallocs + for i := 0; i < N; i++ { + mt.fn() + } + runtime.ReadMemStats(memstats) + mallocs += memstats.Mallocs + if mallocs/N > uint64(mt.count) { + t.Errorf("%s: expected %d mallocs, got %d", mt.desc, mt.count, mallocs/N) + } + } +} + +*/ |