8dc2499aa6
gotools/ * Makefile.am (go_cmd_cgo_files): Add ast_go118.go (check-go-tool): Copy golang.org/x/tools directories. * Makefile.in: Regenerate. Reviewed-on: https://go-review.googlesource.com/c/gofrontend/+/384695
826 lines
24 KiB
Go
826 lines
24 KiB
Go
// Copyright 2015 The Go Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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package big
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import (
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"bytes"
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"fmt"
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"math"
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"math/bits"
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"strconv"
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"testing"
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)
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var zero_ float64
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func TestFloatSetFloat64String(t *testing.T) {
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inf := math.Inf(0)
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nan := math.NaN()
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for _, test := range []struct {
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s string
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x float64 // NaNs represent invalid inputs
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}{
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// basics
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{"0", 0},
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{"-0", -zero_},
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{"+0", 0},
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{"1", 1},
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{"-1", -1},
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{"+1", 1},
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{"1.234", 1.234},
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{"-1.234", -1.234},
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{"+1.234", 1.234},
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{".1", 0.1},
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{"1.", 1},
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{"+1.", 1},
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// various zeros
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{"0e100", 0},
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{"-0e+100", -zero_},
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{"+0e-100", 0},
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{"0E100", 0},
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{"-0E+100", -zero_},
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{"+0E-100", 0},
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// various decimal exponent formats
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{"1.e10", 1e10},
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{"1e+10", 1e10},
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{"+1e-10", 1e-10},
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{"1E10", 1e10},
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{"1.E+10", 1e10},
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{"+1E-10", 1e-10},
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// infinities
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{"Inf", inf},
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{"+Inf", inf},
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{"-Inf", -inf},
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{"inf", inf},
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{"+inf", inf},
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{"-inf", -inf},
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// invalid numbers
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{"", nan},
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{"-", nan},
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{"0x", nan},
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{"0e", nan},
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{"1.2ef", nan},
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{"2..3", nan},
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{"123..", nan},
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{"infinity", nan},
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{"foobar", nan},
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// invalid underscores
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{"_", nan},
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{"0_", nan},
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{"1__0", nan},
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{"123_.", nan},
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{"123._", nan},
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{"123._4", nan},
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{"1_2.3_4_", nan},
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{"_.123", nan},
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{"_123.456", nan},
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{"10._0", nan},
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{"10.0e_0", nan},
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{"10.0e0_", nan},
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{"0P-0__0", nan},
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// misc decimal values
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{"3.14159265", 3.14159265},
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{"-687436.79457e-245", -687436.79457e-245},
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{"-687436.79457E245", -687436.79457e245},
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{".0000000000000000000000000000000000000001", 1e-40},
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{"+10000000000000000000000000000000000000000e-0", 1e40},
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// decimal mantissa, binary exponent
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{"0p0", 0},
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{"-0p0", -zero_},
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{"1p10", 1 << 10},
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{"1p+10", 1 << 10},
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{"+1p-10", 1.0 / (1 << 10)},
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{"1024p-12", 0.25},
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{"-1p10", -1024},
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{"1.5p1", 3},
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// binary mantissa, decimal exponent
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{"0b0", 0},
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{"-0b0", -zero_},
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{"0b0e+10", 0},
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{"-0b0e-10", -zero_},
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{"0b1010", 10},
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{"0B1010E2", 1000},
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{"0b.1", 0.5},
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{"0b.001", 0.125},
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{"0b.001e3", 125},
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// binary mantissa, binary exponent
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{"0b0p+10", 0},
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{"-0b0p-10", -zero_},
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{"0b.1010p4", 10},
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{"0b1p-1", 0.5},
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{"0b001p-3", 0.125},
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{"0b.001p3", 1},
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{"0b0.01p2", 1},
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{"0b0.01P+2", 1},
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// octal mantissa, decimal exponent
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{"0o0", 0},
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{"-0o0", -zero_},
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{"0o0e+10", 0},
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{"-0o0e-10", -zero_},
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{"0o12", 10},
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{"0O12E2", 1000},
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{"0o.4", 0.5},
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{"0o.01", 0.015625},
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{"0o.01e3", 15.625},
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// octal mantissa, binary exponent
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{"0o0p+10", 0},
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{"-0o0p-10", -zero_},
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{"0o.12p6", 10},
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{"0o4p-3", 0.5},
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{"0o0014p-6", 0.1875},
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{"0o.001p9", 1},
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{"0o0.01p7", 2},
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{"0O0.01P+2", 0.0625},
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// hexadecimal mantissa and exponent
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{"0x0", 0},
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{"-0x0", -zero_},
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{"0x0p+10", 0},
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{"-0x0p-10", -zero_},
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{"0xff", 255},
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{"0X.8p1", 1},
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{"-0X0.00008p16", -0.5},
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{"-0X0.00008P+16", -0.5},
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{"0x0.0000000000001p-1022", math.SmallestNonzeroFloat64},
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{"0x1.fffffffffffffp1023", math.MaxFloat64},
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// underscores
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{"0_0", 0},
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{"1_000.", 1000},
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{"1_2_3.4_5_6", 123.456},
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{"1.0e0_0", 1},
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{"1p+1_0", 1024},
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{"0b_1000", 0x8},
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{"0b_1011_1101", 0xbd},
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{"0x_f0_0d_1eP+0_8", 0xf00d1e00},
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} {
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var x Float
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x.SetPrec(53)
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_, ok := x.SetString(test.s)
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if math.IsNaN(test.x) {
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// test.s is invalid
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if ok {
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t.Errorf("%s: want parse error", test.s)
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}
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continue
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}
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// test.s is valid
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if !ok {
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t.Errorf("%s: got parse error", test.s)
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continue
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}
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f, _ := x.Float64()
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want := new(Float).SetFloat64(test.x)
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if x.Cmp(want) != 0 || x.Signbit() != want.Signbit() {
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t.Errorf("%s: got %v (%v); want %v", test.s, &x, f, test.x)
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}
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}
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}
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func fdiv(a, b float64) float64 { return a / b }
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const (
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below1e23 = 99999999999999974834176
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above1e23 = 100000000000000008388608
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)
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func TestFloat64Text(t *testing.T) {
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for _, test := range []struct {
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x float64
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format byte
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prec int
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want string
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}{
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{0, 'f', 0, "0"},
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{math.Copysign(0, -1), 'f', 0, "-0"},
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{1, 'f', 0, "1"},
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{-1, 'f', 0, "-1"},
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{0.001, 'e', 0, "1e-03"},
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{0.459, 'e', 0, "5e-01"},
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{1.459, 'e', 0, "1e+00"},
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{2.459, 'e', 1, "2.5e+00"},
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{3.459, 'e', 2, "3.46e+00"},
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{4.459, 'e', 3, "4.459e+00"},
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{5.459, 'e', 4, "5.4590e+00"},
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{0.001, 'f', 0, "0"},
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{0.459, 'f', 0, "0"},
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{1.459, 'f', 0, "1"},
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{2.459, 'f', 1, "2.5"},
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{3.459, 'f', 2, "3.46"},
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{4.459, 'f', 3, "4.459"},
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{5.459, 'f', 4, "5.4590"},
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{0, 'b', 0, "0"},
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{math.Copysign(0, -1), 'b', 0, "-0"},
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{1.0, 'b', 0, "4503599627370496p-52"},
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{-1.0, 'b', 0, "-4503599627370496p-52"},
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{4503599627370496, 'b', 0, "4503599627370496p+0"},
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{0, 'p', 0, "0"},
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{math.Copysign(0, -1), 'p', 0, "-0"},
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{1024.0, 'p', 0, "0x.8p+11"},
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{-1024.0, 'p', 0, "-0x.8p+11"},
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// all test cases below from strconv/ftoa_test.go
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{1, 'e', 5, "1.00000e+00"},
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{1, 'f', 5, "1.00000"},
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{1, 'g', 5, "1"},
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{1, 'g', -1, "1"},
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{20, 'g', -1, "20"},
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{1234567.8, 'g', -1, "1.2345678e+06"},
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{200000, 'g', -1, "200000"},
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{2000000, 'g', -1, "2e+06"},
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// g conversion and zero suppression
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{400, 'g', 2, "4e+02"},
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{40, 'g', 2, "40"},
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{4, 'g', 2, "4"},
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{.4, 'g', 2, "0.4"},
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{.04, 'g', 2, "0.04"},
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{.004, 'g', 2, "0.004"},
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{.0004, 'g', 2, "0.0004"},
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{.00004, 'g', 2, "4e-05"},
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{.000004, 'g', 2, "4e-06"},
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{0, 'e', 5, "0.00000e+00"},
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{0, 'f', 5, "0.00000"},
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{0, 'g', 5, "0"},
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{0, 'g', -1, "0"},
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{-1, 'e', 5, "-1.00000e+00"},
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{-1, 'f', 5, "-1.00000"},
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{-1, 'g', 5, "-1"},
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{-1, 'g', -1, "-1"},
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{12, 'e', 5, "1.20000e+01"},
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{12, 'f', 5, "12.00000"},
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{12, 'g', 5, "12"},
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{12, 'g', -1, "12"},
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{123456700, 'e', 5, "1.23457e+08"},
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{123456700, 'f', 5, "123456700.00000"},
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{123456700, 'g', 5, "1.2346e+08"},
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{123456700, 'g', -1, "1.234567e+08"},
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{1.2345e6, 'e', 5, "1.23450e+06"},
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{1.2345e6, 'f', 5, "1234500.00000"},
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{1.2345e6, 'g', 5, "1.2345e+06"},
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{1e23, 'e', 17, "9.99999999999999916e+22"},
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{1e23, 'f', 17, "99999999999999991611392.00000000000000000"},
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{1e23, 'g', 17, "9.9999999999999992e+22"},
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{1e23, 'e', -1, "1e+23"},
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{1e23, 'f', -1, "100000000000000000000000"},
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{1e23, 'g', -1, "1e+23"},
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{below1e23, 'e', 17, "9.99999999999999748e+22"},
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{below1e23, 'f', 17, "99999999999999974834176.00000000000000000"},
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{below1e23, 'g', 17, "9.9999999999999975e+22"},
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{below1e23, 'e', -1, "9.999999999999997e+22"},
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{below1e23, 'f', -1, "99999999999999970000000"},
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{below1e23, 'g', -1, "9.999999999999997e+22"},
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{above1e23, 'e', 17, "1.00000000000000008e+23"},
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{above1e23, 'f', 17, "100000000000000008388608.00000000000000000"},
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{above1e23, 'g', 17, "1.0000000000000001e+23"},
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{above1e23, 'e', -1, "1.0000000000000001e+23"},
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{above1e23, 'f', -1, "100000000000000010000000"},
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{above1e23, 'g', -1, "1.0000000000000001e+23"},
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{5e-304 / 1e20, 'g', -1, "5e-324"},
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{-5e-304 / 1e20, 'g', -1, "-5e-324"},
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{fdiv(5e-304, 1e20), 'g', -1, "5e-324"}, // avoid constant arithmetic
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{fdiv(-5e-304, 1e20), 'g', -1, "-5e-324"}, // avoid constant arithmetic
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{32, 'g', -1, "32"},
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{32, 'g', 0, "3e+01"},
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{100, 'x', -1, "0x1.9p+06"},
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// {math.NaN(), 'g', -1, "NaN"}, // Float doesn't support NaNs
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// {-math.NaN(), 'g', -1, "NaN"}, // Float doesn't support NaNs
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{math.Inf(0), 'g', -1, "+Inf"},
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{math.Inf(-1), 'g', -1, "-Inf"},
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{-math.Inf(0), 'g', -1, "-Inf"},
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{-1, 'b', -1, "-4503599627370496p-52"},
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// fixed bugs
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{0.9, 'f', 1, "0.9"},
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{0.09, 'f', 1, "0.1"},
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{0.0999, 'f', 1, "0.1"},
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{0.05, 'f', 1, "0.1"},
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{0.05, 'f', 0, "0"},
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{0.5, 'f', 1, "0.5"},
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{0.5, 'f', 0, "0"},
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{1.5, 'f', 0, "2"},
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// https://www.exploringbinary.com/java-hangs-when-converting-2-2250738585072012e-308/
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{2.2250738585072012e-308, 'g', -1, "2.2250738585072014e-308"},
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// https://www.exploringbinary.com/php-hangs-on-numeric-value-2-2250738585072011e-308/
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{2.2250738585072011e-308, 'g', -1, "2.225073858507201e-308"},
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// Issue 2625.
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{383260575764816448, 'f', 0, "383260575764816448"},
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{383260575764816448, 'g', -1, "3.8326057576481645e+17"},
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// Issue 15918.
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{1, 'f', -10, "1"},
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{1, 'f', -11, "1"},
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{1, 'f', -12, "1"},
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} {
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// The test cases are from the strconv package which tests float64 values.
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// When formatting values with prec = -1 (shortest representation),
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// the actually available mantissa precision matters.
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// For denormalized values, that precision is < 53 (SetFloat64 default).
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// Compute and set the actual precision explicitly.
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f := new(Float).SetPrec(actualPrec(test.x)).SetFloat64(test.x)
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got := f.Text(test.format, test.prec)
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if got != test.want {
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t.Errorf("%v: got %s; want %s", test, got, test.want)
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continue
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}
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if test.format == 'b' && test.x == 0 {
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continue // 'b' format in strconv.Float requires knowledge of bias for 0.0
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}
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if test.format == 'p' {
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continue // 'p' format not supported in strconv.Format
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}
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// verify that Float format matches strconv format
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want := strconv.FormatFloat(test.x, test.format, test.prec, 64)
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if got != want {
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t.Errorf("%v: got %s; want %s (strconv)", test, got, want)
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}
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}
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}
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// actualPrec returns the number of actually used mantissa bits.
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func actualPrec(x float64) uint {
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if mant := math.Float64bits(x); x != 0 && mant&(0x7ff<<52) == 0 {
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// x is denormalized
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return 64 - uint(bits.LeadingZeros64(mant&(1<<52-1)))
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}
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return 53
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}
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func TestFloatText(t *testing.T) {
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const defaultRound = ^RoundingMode(0)
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for _, test := range []struct {
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x string
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round RoundingMode
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prec uint
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format byte
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digits int
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want string
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}{
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{"0", defaultRound, 10, 'f', 0, "0"},
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{"-0", defaultRound, 10, 'f', 0, "-0"},
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{"1", defaultRound, 10, 'f', 0, "1"},
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{"-1", defaultRound, 10, 'f', 0, "-1"},
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{"1.459", defaultRound, 100, 'e', 0, "1e+00"},
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{"2.459", defaultRound, 100, 'e', 1, "2.5e+00"},
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{"3.459", defaultRound, 100, 'e', 2, "3.46e+00"},
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{"4.459", defaultRound, 100, 'e', 3, "4.459e+00"},
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{"5.459", defaultRound, 100, 'e', 4, "5.4590e+00"},
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{"1.459", defaultRound, 100, 'E', 0, "1E+00"},
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{"2.459", defaultRound, 100, 'E', 1, "2.5E+00"},
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{"3.459", defaultRound, 100, 'E', 2, "3.46E+00"},
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{"4.459", defaultRound, 100, 'E', 3, "4.459E+00"},
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{"5.459", defaultRound, 100, 'E', 4, "5.4590E+00"},
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{"1.459", defaultRound, 100, 'f', 0, "1"},
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{"2.459", defaultRound, 100, 'f', 1, "2.5"},
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{"3.459", defaultRound, 100, 'f', 2, "3.46"},
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{"4.459", defaultRound, 100, 'f', 3, "4.459"},
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{"5.459", defaultRound, 100, 'f', 4, "5.4590"},
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{"1.459", defaultRound, 100, 'g', 0, "1"},
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{"2.459", defaultRound, 100, 'g', 1, "2"},
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{"3.459", defaultRound, 100, 'g', 2, "3.5"},
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{"4.459", defaultRound, 100, 'g', 3, "4.46"},
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{"5.459", defaultRound, 100, 'g', 4, "5.459"},
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{"1459", defaultRound, 53, 'g', 0, "1e+03"},
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{"2459", defaultRound, 53, 'g', 1, "2e+03"},
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{"3459", defaultRound, 53, 'g', 2, "3.5e+03"},
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{"4459", defaultRound, 53, 'g', 3, "4.46e+03"},
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{"5459", defaultRound, 53, 'g', 4, "5459"},
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{"1459", defaultRound, 53, 'G', 0, "1E+03"},
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{"2459", defaultRound, 53, 'G', 1, "2E+03"},
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{"3459", defaultRound, 53, 'G', 2, "3.5E+03"},
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{"4459", defaultRound, 53, 'G', 3, "4.46E+03"},
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{"5459", defaultRound, 53, 'G', 4, "5459"},
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{"3", defaultRound, 10, 'e', 40, "3.0000000000000000000000000000000000000000e+00"},
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{"3", defaultRound, 10, 'f', 40, "3.0000000000000000000000000000000000000000"},
|
|
{"3", defaultRound, 10, 'g', 40, "3"},
|
|
|
|
{"3e40", defaultRound, 100, 'e', 40, "3.0000000000000000000000000000000000000000e+40"},
|
|
{"3e40", defaultRound, 100, 'f', 4, "30000000000000000000000000000000000000000.0000"},
|
|
{"3e40", defaultRound, 100, 'g', 40, "3e+40"},
|
|
|
|
// make sure "stupid" exponents don't stall the machine
|
|
{"1e1000000", defaultRound, 64, 'p', 0, "0x.88b3a28a05eade3ap+3321929"},
|
|
{"1e646456992", defaultRound, 64, 'p', 0, "0x.e883a0c5c8c7c42ap+2147483644"},
|
|
{"1e646456993", defaultRound, 64, 'p', 0, "+Inf"},
|
|
{"1e1000000000", defaultRound, 64, 'p', 0, "+Inf"},
|
|
{"1e-1000000", defaultRound, 64, 'p', 0, "0x.efb4542cc8ca418ap-3321928"},
|
|
{"1e-646456993", defaultRound, 64, 'p', 0, "0x.e17c8956983d9d59p-2147483647"},
|
|
{"1e-646456994", defaultRound, 64, 'p', 0, "0"},
|
|
{"1e-1000000000", defaultRound, 64, 'p', 0, "0"},
|
|
|
|
// minimum and maximum values
|
|
{"1p2147483646", defaultRound, 64, 'p', 0, "0x.8p+2147483647"},
|
|
{"0x.8p2147483647", defaultRound, 64, 'p', 0, "0x.8p+2147483647"},
|
|
{"0x.8p-2147483647", defaultRound, 64, 'p', 0, "0x.8p-2147483647"},
|
|
{"1p-2147483649", defaultRound, 64, 'p', 0, "0x.8p-2147483648"},
|
|
|
|
// TODO(gri) need tests for actual large Floats
|
|
|
|
{"0", defaultRound, 53, 'b', 0, "0"},
|
|
{"-0", defaultRound, 53, 'b', 0, "-0"},
|
|
{"1.0", defaultRound, 53, 'b', 0, "4503599627370496p-52"},
|
|
{"-1.0", defaultRound, 53, 'b', 0, "-4503599627370496p-52"},
|
|
{"4503599627370496", defaultRound, 53, 'b', 0, "4503599627370496p+0"},
|
|
|
|
// issue 9939
|
|
{"3", defaultRound, 350, 'b', 0, "1720123961992553633708115671476565205597423741876210842803191629540192157066363606052513914832594264915968p-348"},
|
|
{"03", defaultRound, 350, 'b', 0, "1720123961992553633708115671476565205597423741876210842803191629540192157066363606052513914832594264915968p-348"},
|
|
{"3.", defaultRound, 350, 'b', 0, "1720123961992553633708115671476565205597423741876210842803191629540192157066363606052513914832594264915968p-348"},
|
|
{"3.0", defaultRound, 350, 'b', 0, "1720123961992553633708115671476565205597423741876210842803191629540192157066363606052513914832594264915968p-348"},
|
|
{"3.00", defaultRound, 350, 'b', 0, "1720123961992553633708115671476565205597423741876210842803191629540192157066363606052513914832594264915968p-348"},
|
|
{"3.000", defaultRound, 350, 'b', 0, "1720123961992553633708115671476565205597423741876210842803191629540192157066363606052513914832594264915968p-348"},
|
|
|
|
{"3", defaultRound, 350, 'p', 0, "0x.cp+2"},
|
|
{"03", defaultRound, 350, 'p', 0, "0x.cp+2"},
|
|
{"3.", defaultRound, 350, 'p', 0, "0x.cp+2"},
|
|
{"3.0", defaultRound, 350, 'p', 0, "0x.cp+2"},
|
|
{"3.00", defaultRound, 350, 'p', 0, "0x.cp+2"},
|
|
{"3.000", defaultRound, 350, 'p', 0, "0x.cp+2"},
|
|
|
|
{"0", defaultRound, 64, 'p', 0, "0"},
|
|
{"-0", defaultRound, 64, 'p', 0, "-0"},
|
|
{"1024.0", defaultRound, 64, 'p', 0, "0x.8p+11"},
|
|
{"-1024.0", defaultRound, 64, 'p', 0, "-0x.8p+11"},
|
|
|
|
{"0", defaultRound, 64, 'x', -1, "0x0p+00"},
|
|
{"0", defaultRound, 64, 'x', 0, "0x0p+00"},
|
|
{"0", defaultRound, 64, 'x', 1, "0x0.0p+00"},
|
|
{"0", defaultRound, 64, 'x', 5, "0x0.00000p+00"},
|
|
{"3.25", defaultRound, 64, 'x', 0, "0x1p+02"},
|
|
{"-3.25", defaultRound, 64, 'x', 0, "-0x1p+02"},
|
|
{"3.25", defaultRound, 64, 'x', 1, "0x1.ap+01"},
|
|
{"-3.25", defaultRound, 64, 'x', 1, "-0x1.ap+01"},
|
|
{"3.25", defaultRound, 64, 'x', -1, "0x1.ap+01"},
|
|
{"-3.25", defaultRound, 64, 'x', -1, "-0x1.ap+01"},
|
|
{"1024.0", defaultRound, 64, 'x', 0, "0x1p+10"},
|
|
{"-1024.0", defaultRound, 64, 'x', 0, "-0x1p+10"},
|
|
{"1024.0", defaultRound, 64, 'x', 5, "0x1.00000p+10"},
|
|
{"8191.0", defaultRound, 53, 'x', -1, "0x1.fffp+12"},
|
|
{"8191.5", defaultRound, 53, 'x', -1, "0x1.fff8p+12"},
|
|
{"8191.53125", defaultRound, 53, 'x', -1, "0x1.fff88p+12"},
|
|
{"8191.53125", defaultRound, 53, 'x', 4, "0x1.fff8p+12"},
|
|
{"8191.53125", defaultRound, 53, 'x', 3, "0x1.000p+13"},
|
|
{"8191.53125", defaultRound, 53, 'x', 0, "0x1p+13"},
|
|
{"8191.533203125", defaultRound, 53, 'x', -1, "0x1.fff888p+12"},
|
|
{"8191.533203125", defaultRound, 53, 'x', 5, "0x1.fff88p+12"},
|
|
{"8191.533203125", defaultRound, 53, 'x', 4, "0x1.fff9p+12"},
|
|
|
|
{"8191.53125", defaultRound, 53, 'x', -1, "0x1.fff88p+12"},
|
|
{"8191.53125", ToNearestEven, 53, 'x', 5, "0x1.fff88p+12"},
|
|
{"8191.53125", ToNearestAway, 53, 'x', 5, "0x1.fff88p+12"},
|
|
{"8191.53125", ToZero, 53, 'x', 5, "0x1.fff88p+12"},
|
|
{"8191.53125", AwayFromZero, 53, 'x', 5, "0x1.fff88p+12"},
|
|
{"8191.53125", ToNegativeInf, 53, 'x', 5, "0x1.fff88p+12"},
|
|
{"8191.53125", ToPositiveInf, 53, 'x', 5, "0x1.fff88p+12"},
|
|
|
|
{"8191.53125", defaultRound, 53, 'x', 4, "0x1.fff8p+12"},
|
|
{"8191.53125", defaultRound, 53, 'x', 3, "0x1.000p+13"},
|
|
{"8191.53125", defaultRound, 53, 'x', 0, "0x1p+13"},
|
|
{"8191.533203125", defaultRound, 53, 'x', -1, "0x1.fff888p+12"},
|
|
{"8191.533203125", defaultRound, 53, 'x', 6, "0x1.fff888p+12"},
|
|
{"8191.533203125", defaultRound, 53, 'x', 5, "0x1.fff88p+12"},
|
|
{"8191.533203125", defaultRound, 53, 'x', 4, "0x1.fff9p+12"},
|
|
|
|
{"8191.53125", ToNearestEven, 53, 'x', 4, "0x1.fff8p+12"},
|
|
{"8191.53125", ToNearestAway, 53, 'x', 4, "0x1.fff9p+12"},
|
|
{"8191.53125", ToZero, 53, 'x', 4, "0x1.fff8p+12"},
|
|
{"8191.53125", ToZero, 53, 'x', 2, "0x1.ffp+12"},
|
|
{"8191.53125", AwayFromZero, 53, 'x', 4, "0x1.fff9p+12"},
|
|
{"8191.53125", ToNegativeInf, 53, 'x', 4, "0x1.fff8p+12"},
|
|
{"-8191.53125", ToNegativeInf, 53, 'x', 4, "-0x1.fff9p+12"},
|
|
{"8191.53125", ToPositiveInf, 53, 'x', 4, "0x1.fff9p+12"},
|
|
{"-8191.53125", ToPositiveInf, 53, 'x', 4, "-0x1.fff8p+12"},
|
|
|
|
// issue 34343
|
|
{"0x.8p-2147483648", ToNearestEven, 4, 'p', -1, "0x.8p-2147483648"},
|
|
{"0x.8p-2147483648", ToNearestEven, 4, 'x', -1, "0x1p-2147483649"},
|
|
} {
|
|
f, _, err := ParseFloat(test.x, 0, test.prec, ToNearestEven)
|
|
if err != nil {
|
|
t.Errorf("%v: %s", test, err)
|
|
continue
|
|
}
|
|
if test.round != defaultRound {
|
|
f.SetMode(test.round)
|
|
}
|
|
|
|
got := f.Text(test.format, test.digits)
|
|
if got != test.want {
|
|
t.Errorf("%v: got %s; want %s", test, got, test.want)
|
|
}
|
|
|
|
// compare with strconv.FormatFloat output if possible
|
|
// ('p' format is not supported by strconv.FormatFloat,
|
|
// and its output for 0.0 prints a biased exponent value
|
|
// as in 0p-1074 which makes no sense to emulate here)
|
|
if test.prec == 53 && test.format != 'p' && f.Sign() != 0 && (test.round == ToNearestEven || test.round == defaultRound) {
|
|
f64, acc := f.Float64()
|
|
if acc != Exact {
|
|
t.Errorf("%v: expected exact conversion to float64", test)
|
|
continue
|
|
}
|
|
got := strconv.FormatFloat(f64, test.format, test.digits, 64)
|
|
if got != test.want {
|
|
t.Errorf("%v: got %s; want %s", test, got, test.want)
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestFloatFormat(t *testing.T) {
|
|
for _, test := range []struct {
|
|
format string
|
|
value any // float32, float64, or string (== 512bit *Float)
|
|
want string
|
|
}{
|
|
// from fmt/fmt_test.go
|
|
{"%+.3e", 0.0, "+0.000e+00"},
|
|
{"%+.3e", 1.0, "+1.000e+00"},
|
|
{"%+.3f", -1.0, "-1.000"},
|
|
{"%+.3F", -1.0, "-1.000"},
|
|
{"%+.3F", float32(-1.0), "-1.000"},
|
|
{"%+07.2f", 1.0, "+001.00"},
|
|
{"%+07.2f", -1.0, "-001.00"},
|
|
{"%+10.2f", +1.0, " +1.00"},
|
|
{"%+10.2f", -1.0, " -1.00"},
|
|
{"% .3E", -1.0, "-1.000E+00"},
|
|
{"% .3e", 1.0, " 1.000e+00"},
|
|
{"%+.3g", 0.0, "+0"},
|
|
{"%+.3g", 1.0, "+1"},
|
|
{"%+.3g", -1.0, "-1"},
|
|
{"% .3g", -1.0, "-1"},
|
|
{"% .3g", 1.0, " 1"},
|
|
{"%b", float32(1.0), "8388608p-23"},
|
|
{"%b", 1.0, "4503599627370496p-52"},
|
|
|
|
// from fmt/fmt_test.go: old test/fmt_test.go
|
|
{"%e", 1.0, "1.000000e+00"},
|
|
{"%e", 1234.5678e3, "1.234568e+06"},
|
|
{"%e", 1234.5678e-8, "1.234568e-05"},
|
|
{"%e", -7.0, "-7.000000e+00"},
|
|
{"%e", -1e-9, "-1.000000e-09"},
|
|
{"%f", 1234.5678e3, "1234567.800000"},
|
|
{"%f", 1234.5678e-8, "0.000012"},
|
|
{"%f", -7.0, "-7.000000"},
|
|
{"%f", -1e-9, "-0.000000"},
|
|
{"%g", 1234.5678e3, "1.2345678e+06"},
|
|
{"%g", float32(1234.5678e3), "1.2345678e+06"},
|
|
{"%g", 1234.5678e-8, "1.2345678e-05"},
|
|
{"%g", -7.0, "-7"},
|
|
{"%g", -1e-9, "-1e-09"},
|
|
{"%g", float32(-1e-9), "-1e-09"},
|
|
{"%E", 1.0, "1.000000E+00"},
|
|
{"%E", 1234.5678e3, "1.234568E+06"},
|
|
{"%E", 1234.5678e-8, "1.234568E-05"},
|
|
{"%E", -7.0, "-7.000000E+00"},
|
|
{"%E", -1e-9, "-1.000000E-09"},
|
|
{"%G", 1234.5678e3, "1.2345678E+06"},
|
|
{"%G", float32(1234.5678e3), "1.2345678E+06"},
|
|
{"%G", 1234.5678e-8, "1.2345678E-05"},
|
|
{"%G", -7.0, "-7"},
|
|
{"%G", -1e-9, "-1E-09"},
|
|
{"%G", float32(-1e-9), "-1E-09"},
|
|
|
|
{"%20.6e", 1.2345e3, " 1.234500e+03"},
|
|
{"%20.6e", 1.2345e-3, " 1.234500e-03"},
|
|
{"%20e", 1.2345e3, " 1.234500e+03"},
|
|
{"%20e", 1.2345e-3, " 1.234500e-03"},
|
|
{"%20.8e", 1.2345e3, " 1.23450000e+03"},
|
|
{"%20f", 1.23456789e3, " 1234.567890"},
|
|
{"%20f", 1.23456789e-3, " 0.001235"},
|
|
{"%20f", 12345678901.23456789, " 12345678901.234568"},
|
|
{"%-20f", 1.23456789e3, "1234.567890 "},
|
|
{"%20.8f", 1.23456789e3, " 1234.56789000"},
|
|
{"%20.8f", 1.23456789e-3, " 0.00123457"},
|
|
{"%g", 1.23456789e3, "1234.56789"},
|
|
{"%g", 1.23456789e-3, "0.00123456789"},
|
|
{"%g", 1.23456789e20, "1.23456789e+20"},
|
|
{"%20e", math.Inf(1), " +Inf"},
|
|
{"%-20f", math.Inf(-1), "-Inf "},
|
|
|
|
// from fmt/fmt_test.go: comparison of padding rules with C printf
|
|
{"%.2f", 1.0, "1.00"},
|
|
{"%.2f", -1.0, "-1.00"},
|
|
{"% .2f", 1.0, " 1.00"},
|
|
{"% .2f", -1.0, "-1.00"},
|
|
{"%+.2f", 1.0, "+1.00"},
|
|
{"%+.2f", -1.0, "-1.00"},
|
|
{"%7.2f", 1.0, " 1.00"},
|
|
{"%7.2f", -1.0, " -1.00"},
|
|
{"% 7.2f", 1.0, " 1.00"},
|
|
{"% 7.2f", -1.0, " -1.00"},
|
|
{"%+7.2f", 1.0, " +1.00"},
|
|
{"%+7.2f", -1.0, " -1.00"},
|
|
{"%07.2f", 1.0, "0001.00"},
|
|
{"%07.2f", -1.0, "-001.00"},
|
|
{"% 07.2f", 1.0, " 001.00"},
|
|
{"% 07.2f", -1.0, "-001.00"},
|
|
{"%+07.2f", 1.0, "+001.00"},
|
|
{"%+07.2f", -1.0, "-001.00"},
|
|
|
|
// from fmt/fmt_test.go: zero padding does not apply to infinities
|
|
{"%020f", math.Inf(-1), " -Inf"},
|
|
{"%020f", math.Inf(+1), " +Inf"},
|
|
{"% 020f", math.Inf(-1), " -Inf"},
|
|
{"% 020f", math.Inf(+1), " Inf"},
|
|
{"%+020f", math.Inf(-1), " -Inf"},
|
|
{"%+020f", math.Inf(+1), " +Inf"},
|
|
{"%20f", -1.0, " -1.000000"},
|
|
|
|
// handle %v like %g
|
|
{"%v", 0.0, "0"},
|
|
{"%v", -7.0, "-7"},
|
|
{"%v", -1e-9, "-1e-09"},
|
|
{"%v", float32(-1e-9), "-1e-09"},
|
|
{"%010v", 0.0, "0000000000"},
|
|
|
|
// *Float cases
|
|
{"%.20f", "1e-20", "0.00000000000000000001"},
|
|
{"%.20f", "-1e-20", "-0.00000000000000000001"},
|
|
{"%30.20f", "-1e-20", " -0.00000000000000000001"},
|
|
{"%030.20f", "-1e-20", "-00000000.00000000000000000001"},
|
|
{"%030.20f", "+1e-20", "000000000.00000000000000000001"},
|
|
{"% 030.20f", "+1e-20", " 00000000.00000000000000000001"},
|
|
|
|
// erroneous formats
|
|
{"%s", 1.0, "%!s(*big.Float=1)"},
|
|
} {
|
|
value := new(Float)
|
|
switch v := test.value.(type) {
|
|
case float32:
|
|
value.SetPrec(24).SetFloat64(float64(v))
|
|
case float64:
|
|
value.SetPrec(53).SetFloat64(v)
|
|
case string:
|
|
value.SetPrec(512).Parse(v, 0)
|
|
default:
|
|
t.Fatalf("unsupported test value: %v (%T)", v, v)
|
|
}
|
|
|
|
if got := fmt.Sprintf(test.format, value); got != test.want {
|
|
t.Errorf("%v: got %q; want %q", test, got, test.want)
|
|
}
|
|
}
|
|
}
|
|
|
|
func BenchmarkParseFloatSmallExp(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
for _, s := range []string{
|
|
"1e0",
|
|
"1e-1",
|
|
"1e-2",
|
|
"1e-3",
|
|
"1e-4",
|
|
"1e-5",
|
|
"1e-10",
|
|
"1e-20",
|
|
"1e-50",
|
|
"1e1",
|
|
"1e2",
|
|
"1e3",
|
|
"1e4",
|
|
"1e5",
|
|
"1e10",
|
|
"1e20",
|
|
"1e50",
|
|
} {
|
|
var x Float
|
|
_, _, err := x.Parse(s, 0)
|
|
if err != nil {
|
|
b.Fatalf("%s: %v", s, err)
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
func BenchmarkParseFloatLargeExp(b *testing.B) {
|
|
for i := 0; i < b.N; i++ {
|
|
for _, s := range []string{
|
|
"1e0",
|
|
"1e-10",
|
|
"1e-20",
|
|
"1e-30",
|
|
"1e-40",
|
|
"1e-50",
|
|
"1e-100",
|
|
"1e-500",
|
|
"1e-1000",
|
|
"1e-5000",
|
|
"1e-10000",
|
|
"1e10",
|
|
"1e20",
|
|
"1e30",
|
|
"1e40",
|
|
"1e50",
|
|
"1e100",
|
|
"1e500",
|
|
"1e1000",
|
|
"1e5000",
|
|
"1e10000",
|
|
} {
|
|
var x Float
|
|
_, _, err := x.Parse(s, 0)
|
|
if err != nil {
|
|
b.Fatalf("%s: %v", s, err)
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
func TestFloatScan(t *testing.T) {
|
|
var floatScanTests = []struct {
|
|
input string
|
|
format string
|
|
output string
|
|
remaining int
|
|
wantErr bool
|
|
}{
|
|
0: {"10.0", "%f", "10", 0, false},
|
|
1: {"23.98+2.0", "%v", "23.98", 4, false},
|
|
2: {"-1+1", "%v", "-1", 2, false},
|
|
3: {" 00000", "%v", "0", 0, false},
|
|
4: {"-123456p-78", "%b", "-4.084816388e-19", 0, false},
|
|
5: {"+123", "%b", "123", 0, false},
|
|
6: {"-1.234e+56", "%e", "-1.234e+56", 0, false},
|
|
7: {"-1.234E-56", "%E", "-1.234e-56", 0, false},
|
|
8: {"-1.234e+567", "%g", "-1.234e+567", 0, false},
|
|
9: {"+1234567891011.234", "%G", "1.234567891e+12", 0, false},
|
|
|
|
// Scan doesn't handle ±Inf.
|
|
10: {"Inf", "%v", "", 3, true},
|
|
11: {"-Inf", "%v", "", 3, true},
|
|
12: {"-Inf", "%v", "", 3, true},
|
|
}
|
|
|
|
var buf bytes.Buffer
|
|
for i, test := range floatScanTests {
|
|
x := new(Float)
|
|
buf.Reset()
|
|
buf.WriteString(test.input)
|
|
_, err := fmt.Fscanf(&buf, test.format, x)
|
|
if test.wantErr {
|
|
if err == nil {
|
|
t.Errorf("#%d want non-nil err", i)
|
|
}
|
|
continue
|
|
}
|
|
|
|
if err != nil {
|
|
t.Errorf("#%d error: %s", i, err)
|
|
}
|
|
|
|
if x.String() != test.output {
|
|
t.Errorf("#%d got %s; want %s", i, x.String(), test.output)
|
|
}
|
|
if buf.Len() != test.remaining {
|
|
t.Errorf("#%d got %d bytes remaining; want %d", i, buf.Len(), test.remaining)
|
|
}
|
|
}
|
|
}
|