package math_test import ( stdmath "math" "testing" "github.com/prysmaticlabs/prysm/math" "github.com/prysmaticlabs/prysm/testing/require" ) func TestIntegerSquareRoot(t *testing.T) { tt := []struct { number uint64 root uint64 }{ { number: 20, root: 4, }, { number: 200, root: 14, }, { number: 1987, root: 44, }, { number: 34989843, root: 5915, }, { number: 97282, root: 311, }, { number: 1 << 32, root: 1 << 16, }, { number: (1 << 32) + 1, root: 1 << 16, }, { number: 1 << 33, root: 92681, }, { number: 1 << 60, root: 1 << 30, }, { number: 1 << 53, root: 94906265, }, { number: 1 << 62, root: 1 << 31, }, { number: 1024, root: 32, }, { number: 4, root: 2, }, { number: 16, root: 4, }, { number: 5508423000000000, root: 74218750, }, { number: 4503599761588224, root: 67108864, }, } for _, testVals := range tt { require.Equal(t, testVals.root, math.IntegerSquareRoot(testVals.number)) } } func BenchmarkIntegerSquareRootBelow52Bits(b *testing.B) { val := uint64(1 << 33) for i := 0; i < b.N; i++ { require.Equal(b, uint64(92681), math.IntegerSquareRoot(val)) } } func BenchmarkIntegerSquareRootAbove52Bits(b *testing.B) { val := uint64(1 << 62) for i := 0; i < b.N; i++ { require.Equal(b, uint64(1<<31), math.IntegerSquareRoot(val)) } } func BenchmarkIntegerSquareRoot_WithDatatable(b *testing.B) { val := uint64(1024) for i := 0; i < b.N; i++ { require.Equal(b, uint64(32), math.IntegerSquareRoot(val)) } } func TestCeilDiv8(t *testing.T) { tests := []struct { number int div8 int }{ { number: 20, div8: 3, }, { number: 200, div8: 25, }, { number: 1987, div8: 249, }, { number: 1, div8: 1, }, { number: 97282, div8: 12161, }, } for _, tt := range tests { require.Equal(t, tt.div8, math.CeilDiv8(tt.number)) } } func TestIsPowerOf2(t *testing.T) { tests := []struct { a uint64 b bool }{ { a: 2, b: true, }, { a: 64, b: true, }, { a: 100, b: false, }, { a: 1024, b: true, }, { a: 0, b: false, }, } for _, tt := range tests { require.Equal(t, tt.b, math.IsPowerOf2(tt.a)) } } func TestPowerOf2(t *testing.T) { tests := []struct { a uint64 b uint64 }{ { a: 3, b: 8, }, { a: 20, b: 1048576, }, { a: 11, b: 2048, }, { a: 8, b: 256, }, } for _, tt := range tests { require.Equal(t, tt.b, math.PowerOf2(tt.a)) } } func TestMaxValue(t *testing.T) { tests := []struct { a uint64 b uint64 result uint64 }{ { a: 10, b: 8, result: 10, }, { a: 300, b: 256, result: 300, }, { a: 1200, b: 1024, result: 1200, }, { a: 4500, b: 4096, result: 4500, }, { a: 9999, b: 9999, result: 9999, }, } for _, tt := range tests { require.Equal(t, tt.result, math.Max(tt.a, tt.b)) } } func TestMinValue(t *testing.T) { tests := []struct { a uint64 b uint64 result uint64 }{ { a: 10, b: 8, result: 8, }, { a: 300, b: 256, result: 256, }, { a: 1200, b: 1024, result: 1024, }, { a: 4500, b: 4096, result: 4096, }, { a: 9999, b: 9999, result: 9999, }, } for _, tt := range tests { require.Equal(t, tt.result, math.Min(tt.a, tt.b)) } } func TestMul64(t *testing.T) { type args struct { a uint64 b uint64 } tests := []struct { args args res uint64 err bool }{ {args: args{0, 1}, res: 0, err: false}, {args: args{1 << 32, 1}, res: 1 << 32, err: false}, {args: args{1 << 32, 100}, res: 429496729600, err: false}, {args: args{1 << 32, 1 << 31}, res: 9223372036854775808, err: false}, {args: args{1 << 32, 1 << 32}, res: 0, err: true}, {args: args{1 << 62, 2}, res: 9223372036854775808, err: false}, {args: args{1 << 62, 4}, res: 0, err: true}, {args: args{1 << 63, 1}, res: 9223372036854775808, err: false}, {args: args{1 << 63, 2}, res: 0, err: true}, } for _, tt := range tests { got, err := math.Mul64(tt.args.a, tt.args.b) if tt.err && err == nil { t.Errorf("Mul64() Expected Error = %v, want error", tt.err) continue } if tt.res != got { t.Errorf("Mul64() %v, want %v", got, tt.res) } } } func TestAdd64(t *testing.T) { type args struct { a uint64 b uint64 } tests := []struct { args args res uint64 err bool }{ {args: args{0, 1}, res: 1, err: false}, {args: args{1 << 32, 1}, res: 4294967297, err: false}, {args: args{1 << 32, 100}, res: 4294967396, err: false}, {args: args{1 << 31, 1 << 31}, res: 4294967296, err: false}, {args: args{1 << 63, 1 << 63}, res: 0, err: true}, {args: args{1 << 63, 1}, res: 9223372036854775809, err: false}, {args: args{stdmath.MaxUint64, 1}, res: 0, err: true}, {args: args{stdmath.MaxUint64, 0}, res: stdmath.MaxUint64, err: false}, {args: args{1 << 63, 2}, res: 9223372036854775810, err: false}, } for _, tt := range tests { got, err := math.Add64(tt.args.a, tt.args.b) if tt.err && err == nil { t.Errorf("Add64() Expected Error = %v, want error", tt.err) continue } if tt.res != got { t.Errorf("Add64() %v, want %v", got, tt.res) } } } func TestMath_Sub64(t *testing.T) { type args struct { a uint64 b uint64 } tests := []struct { args args res uint64 err bool }{ {args: args{1, 0}, res: 1}, {args: args{0, 1}, res: 0, err: true}, {args: args{1 << 32, 1}, res: 4294967295}, {args: args{1 << 32, 100}, res: 4294967196}, {args: args{1 << 31, 1 << 31}, res: 0}, {args: args{1 << 63, 1 << 63}, res: 0}, {args: args{1 << 63, 1}, res: 9223372036854775807}, {args: args{stdmath.MaxUint64, stdmath.MaxUint64}, res: 0}, {args: args{stdmath.MaxUint64 - 1, stdmath.MaxUint64}, res: 0, err: true}, {args: args{stdmath.MaxUint64, 0}, res: stdmath.MaxUint64}, {args: args{1 << 63, 2}, res: 9223372036854775806}, } for _, tt := range tests { got, err := math.Sub64(tt.args.a, tt.args.b) if tt.err && err == nil { t.Errorf("Sub64() Expected Error = %v, want error", tt.err) continue } if tt.res != got { t.Errorf("Sub64() %v, want %v", got, tt.res) } } }