github.com/prysmaticlabs/prysm@v1.4.4/shared/mathutil/math_helper_test.go

package mathutil_test

import (
	"math"
	"testing"

	"github.com/prysmaticlabs/prysm/shared/mathutil"
	"github.com/prysmaticlabs/prysm/shared/testutil/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, mathutil.IntegerSquareRoot(testVals.number))
	}
}

func BenchmarkIntegerSquareRootBelow52Bits(b *testing.B) {
	val := uint64(1 << 33)
	for i := 0; i < b.N; i++ {
		require.Equal(b, uint64(92681), mathutil.IntegerSquareRoot(val))
	}
}

func BenchmarkIntegerSquareRootAbove52Bits(b *testing.B) {
	val := uint64(1 << 62)
	for i := 0; i < b.N; i++ {
		require.Equal(b, uint64(1<<31), mathutil.IntegerSquareRoot(val))
	}
}

func BenchmarkIntegerSquareRoot_WithDatatable(b *testing.B) {
	val := uint64(1024)
	for i := 0; i < b.N; i++ {
		require.Equal(b, uint64(32), mathutil.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, mathutil.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, mathutil.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, mathutil.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, mathutil.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, mathutil.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 := mathutil.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{math.MaxUint64, 1}, res: 0, err: true},
		{args: args{math.MaxUint64, 0}, res: math.MaxUint64, err: false},
		{args: args{1 << 63, 2}, res: 9223372036854775810, err: false},
	}
	for _, tt := range tests {
		got, err := mathutil.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)
		}
	}
}