github.com/q45/go@v0.0.0-20151101211701-a4fb8c13db3f/src/math/big/floatconv_test.go (about)

     1  // Copyright 2015 The Go Authors. All rights reserved.
     2  // Use of this source code is governed by a BSD-style
     3  // license that can be found in the LICENSE file.
     4  
     5  package big
     6  
     7  import (
     8  	"fmt"
     9  	"math"
    10  	"strconv"
    11  	"testing"
    12  )
    13  
    14  func TestFloatSetFloat64String(t *testing.T) {
    15  	inf := math.Inf(0)
    16  	nan := math.NaN()
    17  
    18  	for _, test := range []struct {
    19  		s string
    20  		x float64 // NaNs represent invalid inputs
    21  	}{
    22  		// basics
    23  		{"0", 0},
    24  		{"-0", -0},
    25  		{"+0", 0},
    26  		{"1", 1},
    27  		{"-1", -1},
    28  		{"+1", 1},
    29  		{"1.234", 1.234},
    30  		{"-1.234", -1.234},
    31  		{"+1.234", 1.234},
    32  		{".1", 0.1},
    33  		{"1.", 1},
    34  		{"+1.", 1},
    35  
    36  		// various zeros
    37  		{"0e100", 0},
    38  		{"-0e+100", 0},
    39  		{"+0e-100", 0},
    40  		{"0E100", 0},
    41  		{"-0E+100", 0},
    42  		{"+0E-100", 0},
    43  
    44  		// various decimal exponent formats
    45  		{"1.e10", 1e10},
    46  		{"1e+10", 1e10},
    47  		{"+1e-10", 1e-10},
    48  		{"1E10", 1e10},
    49  		{"1.E+10", 1e10},
    50  		{"+1E-10", 1e-10},
    51  
    52  		// infinities
    53  		{"Inf", inf},
    54  		{"+Inf", inf},
    55  		{"-Inf", -inf},
    56  		{"inf", inf},
    57  		{"+inf", inf},
    58  		{"-inf", -inf},
    59  
    60  		// invalid numbers
    61  		{"", nan},
    62  		{"-", nan},
    63  		{"0x", nan},
    64  		{"0e", nan},
    65  		{"1.2ef", nan},
    66  		{"2..3", nan},
    67  		{"123..", nan},
    68  		{"infinity", nan},
    69  		{"foobar", nan},
    70  
    71  		// misc decimal values
    72  		{"3.14159265", 3.14159265},
    73  		{"-687436.79457e-245", -687436.79457e-245},
    74  		{"-687436.79457E245", -687436.79457e245},
    75  		{".0000000000000000000000000000000000000001", 1e-40},
    76  		{"+10000000000000000000000000000000000000000e-0", 1e40},
    77  
    78  		// decimal mantissa, binary exponent
    79  		{"0p0", 0},
    80  		{"-0p0", -0},
    81  		{"1p10", 1 << 10},
    82  		{"1p+10", 1 << 10},
    83  		{"+1p-10", 1.0 / (1 << 10)},
    84  		{"1024p-12", 0.25},
    85  		{"-1p10", -1024},
    86  		{"1.5p1", 3},
    87  
    88  		// binary mantissa, decimal exponent
    89  		{"0b0", 0},
    90  		{"-0b0", -0},
    91  		{"0b0e+10", 0},
    92  		{"-0b0e-10", -0},
    93  		{"0b1010", 10},
    94  		{"0B1010E2", 1000},
    95  		{"0b.1", 0.5},
    96  		{"0b.001", 0.125},
    97  		{"0b.001e3", 125},
    98  
    99  		// binary mantissa, binary exponent
   100  		{"0b0p+10", 0},
   101  		{"-0b0p-10", -0},
   102  		{"0b.1010p4", 10},
   103  		{"0b1p-1", 0.5},
   104  		{"0b001p-3", 0.125},
   105  		{"0b.001p3", 1},
   106  		{"0b0.01p2", 1},
   107  
   108  		// hexadecimal mantissa and exponent
   109  		{"0x0", 0},
   110  		{"-0x0", -0},
   111  		{"0x0p+10", 0},
   112  		{"-0x0p-10", -0},
   113  		{"0xff", 255},
   114  		{"0X.8p1", 1},
   115  		{"-0X0.00008p16", -0.5},
   116  		{"0x0.0000000000001p-1022", math.SmallestNonzeroFloat64},
   117  		{"0x1.fffffffffffffp1023", math.MaxFloat64},
   118  	} {
   119  		var x Float
   120  		x.SetPrec(53)
   121  		_, ok := x.SetString(test.s)
   122  		if math.IsNaN(test.x) {
   123  			// test.s is invalid
   124  			if ok {
   125  				t.Errorf("%s: want parse error", test.s)
   126  			}
   127  			continue
   128  		}
   129  		// test.s is valid
   130  		if !ok {
   131  			t.Errorf("%s: got parse error", test.s)
   132  			continue
   133  		}
   134  		f, _ := x.Float64()
   135  		want := new(Float).SetFloat64(test.x)
   136  		if x.Cmp(want) != 0 {
   137  			t.Errorf("%s: got %s (%v); want %v", test.s, &x, f, test.x)
   138  		}
   139  	}
   140  }
   141  
   142  func fdiv(a, b float64) float64 { return a / b }
   143  
   144  const (
   145  	below1e23 = 99999999999999974834176
   146  	above1e23 = 100000000000000008388608
   147  )
   148  
   149  func TestFloat64Text(t *testing.T) {
   150  	for _, test := range []struct {
   151  		x      float64
   152  		format byte
   153  		prec   int
   154  		want   string
   155  	}{
   156  		{0, 'f', 0, "0"},
   157  		{math.Copysign(0, -1), 'f', 0, "-0"},
   158  		{1, 'f', 0, "1"},
   159  		{-1, 'f', 0, "-1"},
   160  
   161  		{0.001, 'e', 0, "1e-03"},
   162  		{0.459, 'e', 0, "5e-01"},
   163  		{1.459, 'e', 0, "1e+00"},
   164  		{2.459, 'e', 1, "2.5e+00"},
   165  		{3.459, 'e', 2, "3.46e+00"},
   166  		{4.459, 'e', 3, "4.459e+00"},
   167  		{5.459, 'e', 4, "5.4590e+00"},
   168  
   169  		{0.001, 'f', 0, "0"},
   170  		{0.459, 'f', 0, "0"},
   171  		{1.459, 'f', 0, "1"},
   172  		{2.459, 'f', 1, "2.5"},
   173  		{3.459, 'f', 2, "3.46"},
   174  		{4.459, 'f', 3, "4.459"},
   175  		{5.459, 'f', 4, "5.4590"},
   176  
   177  		{0, 'b', 0, "0"},
   178  		{math.Copysign(0, -1), 'b', 0, "-0"},
   179  		{1.0, 'b', 0, "4503599627370496p-52"},
   180  		{-1.0, 'b', 0, "-4503599627370496p-52"},
   181  		{4503599627370496, 'b', 0, "4503599627370496p+0"},
   182  
   183  		{0, 'p', 0, "0"},
   184  		{math.Copysign(0, -1), 'p', 0, "-0"},
   185  		{1024.0, 'p', 0, "0x.8p+11"},
   186  		{-1024.0, 'p', 0, "-0x.8p+11"},
   187  
   188  		// all test cases below from strconv/ftoa_test.go
   189  		{1, 'e', 5, "1.00000e+00"},
   190  		{1, 'f', 5, "1.00000"},
   191  		{1, 'g', 5, "1"},
   192  		{1, 'g', -1, "1"},
   193  		{20, 'g', -1, "20"},
   194  		{1234567.8, 'g', -1, "1.2345678e+06"},
   195  		{200000, 'g', -1, "200000"},
   196  		{2000000, 'g', -1, "2e+06"},
   197  
   198  		// g conversion and zero suppression
   199  		{400, 'g', 2, "4e+02"},
   200  		{40, 'g', 2, "40"},
   201  		{4, 'g', 2, "4"},
   202  		{.4, 'g', 2, "0.4"},
   203  		{.04, 'g', 2, "0.04"},
   204  		{.004, 'g', 2, "0.004"},
   205  		{.0004, 'g', 2, "0.0004"},
   206  		{.00004, 'g', 2, "4e-05"},
   207  		{.000004, 'g', 2, "4e-06"},
   208  
   209  		{0, 'e', 5, "0.00000e+00"},
   210  		{0, 'f', 5, "0.00000"},
   211  		{0, 'g', 5, "0"},
   212  		{0, 'g', -1, "0"},
   213  
   214  		{-1, 'e', 5, "-1.00000e+00"},
   215  		{-1, 'f', 5, "-1.00000"},
   216  		{-1, 'g', 5, "-1"},
   217  		{-1, 'g', -1, "-1"},
   218  
   219  		{12, 'e', 5, "1.20000e+01"},
   220  		{12, 'f', 5, "12.00000"},
   221  		{12, 'g', 5, "12"},
   222  		{12, 'g', -1, "12"},
   223  
   224  		{123456700, 'e', 5, "1.23457e+08"},
   225  		{123456700, 'f', 5, "123456700.00000"},
   226  		{123456700, 'g', 5, "1.2346e+08"},
   227  		{123456700, 'g', -1, "1.234567e+08"},
   228  
   229  		{1.2345e6, 'e', 5, "1.23450e+06"},
   230  		{1.2345e6, 'f', 5, "1234500.00000"},
   231  		{1.2345e6, 'g', 5, "1.2345e+06"},
   232  
   233  		{1e23, 'e', 17, "9.99999999999999916e+22"},
   234  		{1e23, 'f', 17, "99999999999999991611392.00000000000000000"},
   235  		{1e23, 'g', 17, "9.9999999999999992e+22"},
   236  
   237  		{1e23, 'e', -1, "1e+23"},
   238  		{1e23, 'f', -1, "100000000000000000000000"},
   239  		{1e23, 'g', -1, "1e+23"},
   240  
   241  		{below1e23, 'e', 17, "9.99999999999999748e+22"},
   242  		{below1e23, 'f', 17, "99999999999999974834176.00000000000000000"},
   243  		{below1e23, 'g', 17, "9.9999999999999975e+22"},
   244  
   245  		{below1e23, 'e', -1, "9.999999999999997e+22"},
   246  		{below1e23, 'f', -1, "99999999999999970000000"},
   247  		{below1e23, 'g', -1, "9.999999999999997e+22"},
   248  
   249  		{above1e23, 'e', 17, "1.00000000000000008e+23"},
   250  		{above1e23, 'f', 17, "100000000000000008388608.00000000000000000"},
   251  		{above1e23, 'g', 17, "1.0000000000000001e+23"},
   252  
   253  		{above1e23, 'e', -1, "1.0000000000000001e+23"},
   254  		{above1e23, 'f', -1, "100000000000000010000000"},
   255  		{above1e23, 'g', -1, "1.0000000000000001e+23"},
   256  
   257  		{5e-304 / 1e20, 'g', -1, "5e-324"},
   258  		{-5e-304 / 1e20, 'g', -1, "-5e-324"},
   259  		{fdiv(5e-304, 1e20), 'g', -1, "5e-324"},   // avoid constant arithmetic
   260  		{fdiv(-5e-304, 1e20), 'g', -1, "-5e-324"}, // avoid constant arithmetic
   261  
   262  		{32, 'g', -1, "32"},
   263  		{32, 'g', 0, "3e+01"},
   264  
   265  		{100, 'x', -1, "%x"},
   266  
   267  		// {math.NaN(), 'g', -1, "NaN"},  // Float doesn't support NaNs
   268  		// {-math.NaN(), 'g', -1, "NaN"}, // Float doesn't support NaNs
   269  		{math.Inf(0), 'g', -1, "+Inf"},
   270  		{math.Inf(-1), 'g', -1, "-Inf"},
   271  		{-math.Inf(0), 'g', -1, "-Inf"},
   272  
   273  		{-1, 'b', -1, "-4503599627370496p-52"},
   274  
   275  		// fixed bugs
   276  		{0.9, 'f', 1, "0.9"},
   277  		{0.09, 'f', 1, "0.1"},
   278  		{0.0999, 'f', 1, "0.1"},
   279  		{0.05, 'f', 1, "0.1"},
   280  		{0.05, 'f', 0, "0"},
   281  		{0.5, 'f', 1, "0.5"},
   282  		{0.5, 'f', 0, "0"},
   283  		{1.5, 'f', 0, "2"},
   284  
   285  		// http://www.exploringbinary.com/java-hangs-when-converting-2-2250738585072012e-308/
   286  		{2.2250738585072012e-308, 'g', -1, "2.2250738585072014e-308"},
   287  		// http://www.exploringbinary.com/php-hangs-on-numeric-value-2-2250738585072011e-308/
   288  		{2.2250738585072011e-308, 'g', -1, "2.225073858507201e-308"},
   289  
   290  		// Issue 2625.
   291  		{383260575764816448, 'f', 0, "383260575764816448"},
   292  		{383260575764816448, 'g', -1, "3.8326057576481645e+17"},
   293  	} {
   294  		// The test cases are from the strconv package which tests float64 values.
   295  		// When formatting values with prec = -1 (shortest representation),
   296  		// the actually available mantissa precision matters.
   297  		// For denormalized values, that precision is < 53 (SetFloat64 default).
   298  		// Compute and set the actual precision explicitly.
   299  		f := new(Float).SetPrec(actualPrec(test.x)).SetFloat64(test.x)
   300  		got := f.Text(test.format, test.prec)
   301  		if got != test.want {
   302  			t.Errorf("%v: got %s; want %s", test, got, test.want)
   303  			continue
   304  		}
   305  
   306  		if test.format == 'b' && test.x == 0 {
   307  			continue // 'b' format in strconv.Float requires knowledge of bias for 0.0
   308  		}
   309  		if test.format == 'p' {
   310  			continue // 'p' format not supported in strconv.Format
   311  		}
   312  
   313  		// verify that Float format matches strconv format
   314  		want := strconv.FormatFloat(test.x, test.format, test.prec, 64)
   315  		if got != want {
   316  			t.Errorf("%v: got %s; want %s (strconv)", test, got, want)
   317  		}
   318  	}
   319  }
   320  
   321  // actualPrec returns the number of actually used mantissa bits.
   322  func actualPrec(x float64) uint {
   323  	if bits := math.Float64bits(x); x != 0 && bits&(0x7ff<<52) == 0 {
   324  		// x is denormalized
   325  		return 64 - nlz64(bits&(1<<52-1))
   326  	}
   327  	return 53
   328  }
   329  
   330  func TestFloatText(t *testing.T) {
   331  	for _, test := range []struct {
   332  		x      string
   333  		prec   uint
   334  		format byte
   335  		digits int
   336  		want   string
   337  	}{
   338  		{"0", 10, 'f', 0, "0"},
   339  		{"-0", 10, 'f', 0, "-0"},
   340  		{"1", 10, 'f', 0, "1"},
   341  		{"-1", 10, 'f', 0, "-1"},
   342  
   343  		{"1.459", 100, 'e', 0, "1e+00"},
   344  		{"2.459", 100, 'e', 1, "2.5e+00"},
   345  		{"3.459", 100, 'e', 2, "3.46e+00"},
   346  		{"4.459", 100, 'e', 3, "4.459e+00"},
   347  		{"5.459", 100, 'e', 4, "5.4590e+00"},
   348  
   349  		{"1.459", 100, 'E', 0, "1E+00"},
   350  		{"2.459", 100, 'E', 1, "2.5E+00"},
   351  		{"3.459", 100, 'E', 2, "3.46E+00"},
   352  		{"4.459", 100, 'E', 3, "4.459E+00"},
   353  		{"5.459", 100, 'E', 4, "5.4590E+00"},
   354  
   355  		{"1.459", 100, 'f', 0, "1"},
   356  		{"2.459", 100, 'f', 1, "2.5"},
   357  		{"3.459", 100, 'f', 2, "3.46"},
   358  		{"4.459", 100, 'f', 3, "4.459"},
   359  		{"5.459", 100, 'f', 4, "5.4590"},
   360  
   361  		{"1.459", 100, 'g', 0, "1"},
   362  		{"2.459", 100, 'g', 1, "2"},
   363  		{"3.459", 100, 'g', 2, "3.5"},
   364  		{"4.459", 100, 'g', 3, "4.46"},
   365  		{"5.459", 100, 'g', 4, "5.459"},
   366  
   367  		{"1459", 53, 'g', 0, "1e+03"},
   368  		{"2459", 53, 'g', 1, "2e+03"},
   369  		{"3459", 53, 'g', 2, "3.5e+03"},
   370  		{"4459", 53, 'g', 3, "4.46e+03"},
   371  		{"5459", 53, 'g', 4, "5459"},
   372  
   373  		{"1459", 53, 'G', 0, "1E+03"},
   374  		{"2459", 53, 'G', 1, "2E+03"},
   375  		{"3459", 53, 'G', 2, "3.5E+03"},
   376  		{"4459", 53, 'G', 3, "4.46E+03"},
   377  		{"5459", 53, 'G', 4, "5459"},
   378  
   379  		{"3", 10, 'e', 40, "3.0000000000000000000000000000000000000000e+00"},
   380  		{"3", 10, 'f', 40, "3.0000000000000000000000000000000000000000"},
   381  		{"3", 10, 'g', 40, "3"},
   382  
   383  		{"3e40", 100, 'e', 40, "3.0000000000000000000000000000000000000000e+40"},
   384  		{"3e40", 100, 'f', 4, "30000000000000000000000000000000000000000.0000"},
   385  		{"3e40", 100, 'g', 40, "3e+40"},
   386  
   387  		// make sure "stupid" exponents don't stall the machine
   388  		{"1e1000000", 64, 'p', 0, "0x.88b3a28a05eade3ap+3321929"},
   389  		{"1e646456992", 64, 'p', 0, "0x.e883a0c5c8c7c42ap+2147483644"},
   390  		{"1e646456993", 64, 'p', 0, "+Inf"},
   391  		{"1e1000000000", 64, 'p', 0, "+Inf"},
   392  		{"1e-1000000", 64, 'p', 0, "0x.efb4542cc8ca418ap-3321928"},
   393  		{"1e-646456993", 64, 'p', 0, "0x.e17c8956983d9d59p-2147483647"},
   394  		{"1e-646456994", 64, 'p', 0, "0"},
   395  		{"1e-1000000000", 64, 'p', 0, "0"},
   396  
   397  		// minimum and maximum values
   398  		{"1p2147483646", 64, 'p', 0, "0x.8p+2147483647"},
   399  		{"0x.8p2147483647", 64, 'p', 0, "0x.8p+2147483647"},
   400  		{"0x.8p-2147483647", 64, 'p', 0, "0x.8p-2147483647"},
   401  		{"1p-2147483649", 64, 'p', 0, "0x.8p-2147483648"},
   402  
   403  		// TODO(gri) need tests for actual large Floats
   404  
   405  		{"0", 53, 'b', 0, "0"},
   406  		{"-0", 53, 'b', 0, "-0"},
   407  		{"1.0", 53, 'b', 0, "4503599627370496p-52"},
   408  		{"-1.0", 53, 'b', 0, "-4503599627370496p-52"},
   409  		{"4503599627370496", 53, 'b', 0, "4503599627370496p+0"},
   410  
   411  		// issue 9939
   412  		{"3", 350, 'b', 0, "1720123961992553633708115671476565205597423741876210842803191629540192157066363606052513914832594264915968p-348"},
   413  		{"03", 350, 'b', 0, "1720123961992553633708115671476565205597423741876210842803191629540192157066363606052513914832594264915968p-348"},
   414  		{"3.", 350, 'b', 0, "1720123961992553633708115671476565205597423741876210842803191629540192157066363606052513914832594264915968p-348"},
   415  		{"3.0", 350, 'b', 0, "1720123961992553633708115671476565205597423741876210842803191629540192157066363606052513914832594264915968p-348"},
   416  		{"3.00", 350, 'b', 0, "1720123961992553633708115671476565205597423741876210842803191629540192157066363606052513914832594264915968p-348"},
   417  		{"3.000", 350, 'b', 0, "1720123961992553633708115671476565205597423741876210842803191629540192157066363606052513914832594264915968p-348"},
   418  
   419  		{"3", 350, 'p', 0, "0x.cp+2"},
   420  		{"03", 350, 'p', 0, "0x.cp+2"},
   421  		{"3.", 350, 'p', 0, "0x.cp+2"},
   422  		{"3.0", 350, 'p', 0, "0x.cp+2"},
   423  		{"3.00", 350, 'p', 0, "0x.cp+2"},
   424  		{"3.000", 350, 'p', 0, "0x.cp+2"},
   425  
   426  		{"0", 64, 'p', 0, "0"},
   427  		{"-0", 64, 'p', 0, "-0"},
   428  		{"1024.0", 64, 'p', 0, "0x.8p+11"},
   429  		{"-1024.0", 64, 'p', 0, "-0x.8p+11"},
   430  
   431  		// unsupported format
   432  		{"3.14", 64, 'x', 0, "%x"},
   433  		{"-3.14", 64, 'x', 0, "%x"},
   434  	} {
   435  		f, _, err := ParseFloat(test.x, 0, test.prec, ToNearestEven)
   436  		if err != nil {
   437  			t.Errorf("%v: %s", test, err)
   438  			continue
   439  		}
   440  
   441  		got := f.Text(test.format, test.digits)
   442  		if got != test.want {
   443  			t.Errorf("%v: got %s; want %s", test, got, test.want)
   444  		}
   445  
   446  		// compare with strconv.FormatFloat output if possible
   447  		// ('p' format is not supported by strconv.FormatFloat,
   448  		// and its output for 0.0 prints a biased exponent value
   449  		// as in 0p-1074 which makes no sense to emulate here)
   450  		if test.prec == 53 && test.format != 'p' && f.Sign() != 0 {
   451  			f64, acc := f.Float64()
   452  			if acc != Exact {
   453  				t.Errorf("%v: expected exact conversion to float64", test)
   454  				continue
   455  			}
   456  			got := strconv.FormatFloat(f64, test.format, test.digits, 64)
   457  			if got != test.want {
   458  				t.Errorf("%v: got %s; want %s", test, got, test.want)
   459  			}
   460  		}
   461  	}
   462  }
   463  
   464  func TestFloatFormat(t *testing.T) {
   465  	for _, test := range []struct {
   466  		format string
   467  		value  interface{} // float32, float64, or string (== 512bit *Float)
   468  		want   string
   469  	}{
   470  		// from fmt/fmt_test.go
   471  		{"%+.3e", 0.0, "+0.000e+00"},
   472  		{"%+.3e", 1.0, "+1.000e+00"},
   473  		{"%+.3f", -1.0, "-1.000"},
   474  		{"%+.3F", -1.0, "-1.000"},
   475  		{"%+.3F", float32(-1.0), "-1.000"},
   476  		{"%+07.2f", 1.0, "+001.00"},
   477  		{"%+07.2f", -1.0, "-001.00"},
   478  		{"%+10.2f", +1.0, "     +1.00"},
   479  		{"%+10.2f", -1.0, "     -1.00"},
   480  		{"% .3E", -1.0, "-1.000E+00"},
   481  		{"% .3e", 1.0, " 1.000e+00"},
   482  		{"%+.3g", 0.0, "+0"},
   483  		{"%+.3g", 1.0, "+1"},
   484  		{"%+.3g", -1.0, "-1"},
   485  		{"% .3g", -1.0, "-1"},
   486  		{"% .3g", 1.0, " 1"},
   487  		{"%b", float32(1.0), "8388608p-23"},
   488  		{"%b", 1.0, "4503599627370496p-52"},
   489  
   490  		// from fmt/fmt_test.go: old test/fmt_test.go
   491  		{"%e", 1.0, "1.000000e+00"},
   492  		{"%e", 1234.5678e3, "1.234568e+06"},
   493  		{"%e", 1234.5678e-8, "1.234568e-05"},
   494  		{"%e", -7.0, "-7.000000e+00"},
   495  		{"%e", -1e-9, "-1.000000e-09"},
   496  		{"%f", 1234.5678e3, "1234567.800000"},
   497  		{"%f", 1234.5678e-8, "0.000012"},
   498  		{"%f", -7.0, "-7.000000"},
   499  		{"%f", -1e-9, "-0.000000"},
   500  		{"%g", 1234.5678e3, "1.2345678e+06"},
   501  		{"%g", float32(1234.5678e3), "1.2345678e+06"},
   502  		{"%g", 1234.5678e-8, "1.2345678e-05"},
   503  		{"%g", -7.0, "-7"},
   504  		{"%g", -1e-9, "-1e-09"},
   505  		{"%g", float32(-1e-9), "-1e-09"},
   506  		{"%E", 1.0, "1.000000E+00"},
   507  		{"%E", 1234.5678e3, "1.234568E+06"},
   508  		{"%E", 1234.5678e-8, "1.234568E-05"},
   509  		{"%E", -7.0, "-7.000000E+00"},
   510  		{"%E", -1e-9, "-1.000000E-09"},
   511  		{"%G", 1234.5678e3, "1.2345678E+06"},
   512  		{"%G", float32(1234.5678e3), "1.2345678E+06"},
   513  		{"%G", 1234.5678e-8, "1.2345678E-05"},
   514  		{"%G", -7.0, "-7"},
   515  		{"%G", -1e-9, "-1E-09"},
   516  		{"%G", float32(-1e-9), "-1E-09"},
   517  
   518  		{"%20.6e", 1.2345e3, "        1.234500e+03"},
   519  		{"%20.6e", 1.2345e-3, "        1.234500e-03"},
   520  		{"%20e", 1.2345e3, "        1.234500e+03"},
   521  		{"%20e", 1.2345e-3, "        1.234500e-03"},
   522  		{"%20.8e", 1.2345e3, "      1.23450000e+03"},
   523  		{"%20f", 1.23456789e3, "         1234.567890"},
   524  		{"%20f", 1.23456789e-3, "            0.001235"},
   525  		{"%20f", 12345678901.23456789, "  12345678901.234568"},
   526  		{"%-20f", 1.23456789e3, "1234.567890         "},
   527  		{"%20.8f", 1.23456789e3, "       1234.56789000"},
   528  		{"%20.8f", 1.23456789e-3, "          0.00123457"},
   529  		{"%g", 1.23456789e3, "1234.56789"},
   530  		{"%g", 1.23456789e-3, "0.00123456789"},
   531  		{"%g", 1.23456789e20, "1.23456789e+20"},
   532  		{"%20e", math.Inf(1), "                +Inf"},
   533  		{"%-20f", math.Inf(-1), "-Inf                "},
   534  
   535  		// from fmt/fmt_test.go: comparison of padding rules with C printf
   536  		{"%.2f", 1.0, "1.00"},
   537  		{"%.2f", -1.0, "-1.00"},
   538  		{"% .2f", 1.0, " 1.00"},
   539  		{"% .2f", -1.0, "-1.00"},
   540  		{"%+.2f", 1.0, "+1.00"},
   541  		{"%+.2f", -1.0, "-1.00"},
   542  		{"%7.2f", 1.0, "   1.00"},
   543  		{"%7.2f", -1.0, "  -1.00"},
   544  		{"% 7.2f", 1.0, "   1.00"},
   545  		{"% 7.2f", -1.0, "  -1.00"},
   546  		{"%+7.2f", 1.0, "  +1.00"},
   547  		{"%+7.2f", -1.0, "  -1.00"},
   548  		{"%07.2f", 1.0, "0001.00"},
   549  		{"%07.2f", -1.0, "-001.00"},
   550  		{"% 07.2f", 1.0, " 001.00"},
   551  		{"% 07.2f", -1.0, "-001.00"},
   552  		{"%+07.2f", 1.0, "+001.00"},
   553  		{"%+07.2f", -1.0, "-001.00"},
   554  
   555  		// from fmt/fmt_test.go: zero padding does not apply to infinities
   556  		{"%020f", math.Inf(-1), "                -Inf"},
   557  		{"%020f", math.Inf(+1), "                +Inf"},
   558  		{"% 020f", math.Inf(-1), "                -Inf"},
   559  		{"% 020f", math.Inf(+1), "                 Inf"},
   560  		{"%+020f", math.Inf(-1), "                -Inf"},
   561  		{"%+020f", math.Inf(+1), "                +Inf"},
   562  		{"%20f", -1.0, "           -1.000000"},
   563  
   564  		// handle %v like %g
   565  		{"%v", 0.0, "0"},
   566  		{"%v", -7.0, "-7"},
   567  		{"%v", -1e-9, "-1e-09"},
   568  		{"%v", float32(-1e-9), "-1e-09"},
   569  		{"%010v", 0.0, "0000000000"},
   570  
   571  		// *Float cases
   572  		{"%.20f", "1e-20", "0.00000000000000000001"},
   573  		{"%.20f", "-1e-20", "-0.00000000000000000001"},
   574  		{"%30.20f", "-1e-20", "       -0.00000000000000000001"},
   575  		{"%030.20f", "-1e-20", "-00000000.00000000000000000001"},
   576  		{"%030.20f", "+1e-20", "000000000.00000000000000000001"},
   577  		{"% 030.20f", "+1e-20", " 00000000.00000000000000000001"},
   578  
   579  		// erroneous formats
   580  		{"%s", 1.0, "%!s(*big.Float=1)"},
   581  	} {
   582  		value := new(Float)
   583  		switch v := test.value.(type) {
   584  		case float32:
   585  			value.SetPrec(24).SetFloat64(float64(v))
   586  		case float64:
   587  			value.SetPrec(53).SetFloat64(v)
   588  		case string:
   589  			value.SetPrec(512).Parse(v, 0)
   590  		default:
   591  			t.Fatalf("unsupported test value: %v (%T)", v, v)
   592  		}
   593  
   594  		if got := fmt.Sprintf(test.format, value); got != test.want {
   595  			t.Errorf("%v: got %q; want %q", test, got, test.want)
   596  		}
   597  	}
   598  }
   599  
   600  func BenchmarkParseFloatSmallExp(b *testing.B) {
   601  	for i := 0; i < b.N; i++ {
   602  		for _, s := range []string{
   603  			"1e0",
   604  			"1e-1",
   605  			"1e-2",
   606  			"1e-3",
   607  			"1e-4",
   608  			"1e-5",
   609  			"1e-10",
   610  			"1e-20",
   611  			"1e-50",
   612  			"1e1",
   613  			"1e2",
   614  			"1e3",
   615  			"1e4",
   616  			"1e5",
   617  			"1e10",
   618  			"1e20",
   619  			"1e50",
   620  		} {
   621  			var x Float
   622  			_, _, err := x.Parse(s, 0)
   623  			if err != nil {
   624  				b.Fatalf("%s: %v", s, err)
   625  			}
   626  		}
   627  	}
   628  }
   629  
   630  func BenchmarkParseFloatLargeExp(b *testing.B) {
   631  	for i := 0; i < b.N; i++ {
   632  		for _, s := range []string{
   633  			"1e0",
   634  			"1e-10",
   635  			"1e-20",
   636  			"1e-30",
   637  			"1e-40",
   638  			"1e-50",
   639  			"1e-100",
   640  			"1e-500",
   641  			"1e-1000",
   642  			"1e-5000",
   643  			"1e-10000",
   644  			"1e10",
   645  			"1e20",
   646  			"1e30",
   647  			"1e40",
   648  			"1e50",
   649  			"1e100",
   650  			"1e500",
   651  			"1e1000",
   652  			"1e5000",
   653  			"1e10000",
   654  		} {
   655  			var x Float
   656  			_, _, err := x.Parse(s, 0)
   657  			if err != nil {
   658  				b.Fatalf("%s: %v", s, err)
   659  			}
   660  		}
   661  	}
   662  }