// Copyright 2025 The Go Authors. All rights reserved. // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. package strconv_test import ( . "internal/strconv" "math" "testing" ) var pow10Tests = []struct { exp10 int mant uint128 exp2 int ok bool }{ {-349, uint128{0, 0}, 0, false}, {-348, uint128{0xFA8FD5A0081C0288, 0x1732C869CD60E453}, -1156, true}, {0, uint128{0x8000000000000000, 0x0000000000000000}, 1, true}, {347, uint128{0xD13EB46469447567, 0x4B7195F2D2D1A9FB}, 1153, true}, {348, uint128{0, 0}, 0, false}, } func TestPow10(t *testing.T) { for _, tt := range pow10Tests { mant, exp2, ok := pow10(tt.exp10) if mant != tt.mant || exp2 != tt.exp2 { t.Errorf("pow10(%d) = %#016x, %#016x, %d, %v want %#016x,%#016x, %d, %v", tt.exp10, mant.Hi, mant.Lo, exp2, ok, tt.mant.Hi, tt.mant.Lo, tt.exp2, tt.ok) } } for p := pow10Min; p <= pow10Max; p++ { mant, exp2, ok := pow10(p) if !ok { t.Errorf("pow10(%d) not ok", p) continue } // Note: -64 instead of -128 because we only used mant.Hi, not all of mant. have := math.Ldexp(float64(mant.Hi), exp2-64) want := math.Pow(10, float64(p)) if math.Abs(have-want)/want > 0.00001 { t.Errorf("pow10(%d) = %#016x%016x/2^128 * 2^%d = %g want ~%g", p, mant.Hi, mant.Lo, exp2, have, want) } } } func u128(hi, lo uint64) uint128 { return uint128{Hi: hi, Lo: lo} } var umul192Tests = []struct { x uint64 y uint128 hi uint64 mid uint64 lo uint64 }{ {0, u128(0, 0), 0, 0, 0}, {^uint64(0), u128(^uint64(0), ^uint64(0)), ^uint64(1), ^uint64(0), 1}, } func TestUmul192(t *testing.T) { for _, tt := range umul192Tests { hi, mid, lo := Umul192(tt.x, tt.y) if hi != tt.hi || mid != tt.mid || lo != tt.lo { t.Errorf("umul192(%#x, {%#x,%#x}) = %#x, %#x, %#x, want %#x, %#x, %#x", tt.x, tt.y.Hi, tt.y.Lo, hi, mid, lo, tt.hi, tt.mid, tt.lo) } } } func TestMulLog10_2(t *testing.T) { for x := -1600; x <= +1600; x++ { iMath := mulLog10_2(x) fMath := int(math.Floor(float64(x) * math.Ln2 / math.Ln10)) if iMath != fMath { t.Errorf("mulLog10_2(%d) failed: %d vs %d\n", x, iMath, fMath) } } } func TestMulLog2_10(t *testing.T) { for x := -500; x <= +500; x++ { iMath := mulLog2_10(x) fMath := int(math.Floor(float64(x) * math.Ln10 / math.Ln2)) if iMath != fMath { t.Errorf("mulLog2_10(%d) failed: %d vs %d\n", x, iMath, fMath) } } } func pow5(p int) uint64 { x := uint64(1) for range p { x *= 5 } return x } func TestDivisiblePow5(t *testing.T) { for p := 1; p <= 22; p++ { x := pow5(p) if divisiblePow5(1, p) { t.Errorf("divisiblePow5(1, %d) = true, want, false", p) } if divisiblePow5(x-1, p) { t.Errorf("divisiblePow5(%d, %d) = true, want false", x-1, p) } if divisiblePow5(x+1, p) { t.Errorf("divisiblePow5(%d, %d) = true, want false", x-1, p) } if divisiblePow5(x/5, p) { t.Errorf("divisiblePow5(%d, %d) = true, want false", x/5, p) } if !divisiblePow5(0, p) { t.Errorf("divisiblePow5(0, %d) = false, want true", p) } if !divisiblePow5(x, p) { t.Errorf("divisiblePow5(%d, %d) = false, want true", x, p) } if 2*x > x && !divisiblePow5(2*x, p) { t.Errorf("divisiblePow5(%d, %d) = false, want true", 2*x, p) } } } func TestDiv5Tab(t *testing.T) { for p := 1; p <= 22; p++ { m := div5Tab[p-1][0] le := div5Tab[p-1][1] // See comment in math.go on div5Tab. // m needs to be multiplicative inverse of pow5(p). if m*pow5(p) != 1 { t.Errorf("pow5Tab[%d-1][0] = %#x, but %#x * (5**%d) = %d, want 1", p, m, m, p, m*pow5(p)) } // le needs to be ⌊(1<<64 - 1) / 5^pāŒ‹. want := (1<<64 - 1) / pow5(p) if le != want { t.Errorf("pow5Tab[%d-1][1] = %#x, want %#x", p, le, want) } } } func TestTrimZeros(t *testing.T) { for _, x := range []uint64{1, 2, 3, 4, 101, 123} { want := x for p := range 20 { haveX, haveP := trimZeros(x) if haveX != want || haveP != p { t.Errorf("trimZeros(%d) = %d, %d, want %d, %d", x, haveX, haveP, want, p) } if x >= (1<<64-1)/10 { break } x *= 10 } } }