// Copyright 2017 The go-ethereum Authors // This file is part of the go-ethereum library. // // The go-ethereum library is free software: you can redistribute it and/or modify // it under the terms of the GNU Lesser General Public License as published by // the Free Software Foundation, either version 3 of the License, or // (at your option) any later version. // // The go-ethereum library is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU Lesser General Public License for more details. // // You should have received a copy of the GNU Lesser General Public License // along with the go-ethereum library. If not, see . package math import ( "bytes" "encoding/hex" "math/big" "testing" "github.com/ethereum/go-ethereum/common" ) func TestHexOrDecimal256(t *testing.T) { tests := []struct { input string num *big.Int ok bool }{ {"", big.NewInt(0), true}, {"0", big.NewInt(0), true}, {"0x0", big.NewInt(0), true}, {"12345678", big.NewInt(12345678), true}, {"0x12345678", big.NewInt(0x12345678), true}, {"0X12345678", big.NewInt(0x12345678), true}, // Tests for leading zero behaviour: {"0123456789", big.NewInt(123456789), true}, // note: not octal {"00", big.NewInt(0), true}, {"0x00", big.NewInt(0), true}, {"0x012345678abc", big.NewInt(0x12345678abc), true}, // Invalid syntax: {"abcdef", nil, false}, {"0xgg", nil, false}, // Larger than 256 bits: {"115792089237316195423570985008687907853269984665640564039457584007913129639936", nil, false}, } for _, test := range tests { var num HexOrDecimal256 err := num.UnmarshalText([]byte(test.input)) if (err == nil) != test.ok { t.Errorf("ParseBig(%q) -> (err == nil) == %t, want %t", test.input, err == nil, test.ok) continue } if test.num != nil && (*big.Int)(&num).Cmp(test.num) != 0 { t.Errorf("ParseBig(%q) -> %d, want %d", test.input, (*big.Int)(&num), test.num) } } } func TestMustParseBig256(t *testing.T) { defer func() { if recover() == nil { t.Error("MustParseBig should've panicked") } }() MustParseBig256("ggg") } func TestBigMax(t *testing.T) { a := big.NewInt(10) b := big.NewInt(5) max1 := BigMax(a, b) if max1 != a { t.Errorf("Expected %d got %d", a, max1) } max2 := BigMax(b, a) if max2 != a { t.Errorf("Expected %d got %d", a, max2) } } func TestBigMin(t *testing.T) { a := big.NewInt(10) b := big.NewInt(5) min1 := BigMin(a, b) if min1 != b { t.Errorf("Expected %d got %d", b, min1) } min2 := BigMin(b, a) if min2 != b { t.Errorf("Expected %d got %d", b, min2) } } func TestFirstBigSet(t *testing.T) { tests := []struct { num *big.Int ix int }{ {big.NewInt(0), 0}, {big.NewInt(1), 0}, {big.NewInt(2), 1}, {big.NewInt(0x100), 8}, } for _, test := range tests { if ix := FirstBitSet(test.num); ix != test.ix { t.Errorf("FirstBitSet(b%b) = %d, want %d", test.num, ix, test.ix) } } } func TestPaddedBigBytes(t *testing.T) { tests := []struct { num *big.Int n int result []byte }{ {num: big.NewInt(0), n: 4, result: []byte{0, 0, 0, 0}}, {num: big.NewInt(1), n: 4, result: []byte{0, 0, 0, 1}}, {num: big.NewInt(512), n: 4, result: []byte{0, 0, 2, 0}}, {num: BigPow(2, 32), n: 4, result: []byte{1, 0, 0, 0, 0}}, } for _, test := range tests { if result := PaddedBigBytes(test.num, test.n); !bytes.Equal(result, test.result) { t.Errorf("PaddedBigBytes(%d, %d) = %v, want %v", test.num, test.n, result, test.result) } } } func BenchmarkPaddedBigBytesLargePadding(b *testing.B) { bigint := MustParseBig256("123456789123456789123456789123456789") for i := 0; i < b.N; i++ { PaddedBigBytes(bigint, 200) } } func BenchmarkPaddedBigBytesSmallPadding(b *testing.B) { bigint := MustParseBig256("0x18F8F8F1000111000110011100222004330052300000000000000000FEFCF3CC") for i := 0; i < b.N; i++ { PaddedBigBytes(bigint, 5) } } func BenchmarkPaddedBigBytesSmallOnePadding(b *testing.B) { bigint := MustParseBig256("0x18F8F8F1000111000110011100222004330052300000000000000000FEFCF3CC") for i := 0; i < b.N; i++ { PaddedBigBytes(bigint, 32) } } func BenchmarkByteAtBrandNew(b *testing.B) { bigint := MustParseBig256("0x18F8F8F1000111000110011100222004330052300000000000000000FEFCF3CC") for i := 0; i < b.N; i++ { bigEndianByteAt(bigint, 15) } } func BenchmarkByteAt(b *testing.B) { bigint := MustParseBig256("0x18F8F8F1000111000110011100222004330052300000000000000000FEFCF3CC") for i := 0; i < b.N; i++ { bigEndianByteAt(bigint, 15) } } func BenchmarkByteAtOld(b *testing.B) { bigint := MustParseBig256("0x18F8F8F1000111000110011100222004330052300000000000000000FEFCF3CC") for i := 0; i < b.N; i++ { PaddedBigBytes(bigint, 32) } } func TestReadBits(t *testing.T) { check := func(input string) { want, _ := hex.DecodeString(input) int, _ := new(big.Int).SetString(input, 16) buf := make([]byte, len(want)) ReadBits(int, buf) if !bytes.Equal(buf, want) { t.Errorf("have: %x\nwant: %x", buf, want) } } check("000000000000000000000000000000000000000000000000000000FEFCF3F8F0") check("0000000000012345000000000000000000000000000000000000FEFCF3F8F0") check("18F8F8F1000111000110011100222004330052300000000000000000FEFCF3F8F0") } func TestU256(t *testing.T) { tests := []struct{ x, y *big.Int }{ {x: big.NewInt(0), y: big.NewInt(0)}, {x: big.NewInt(1), y: big.NewInt(1)}, {x: BigPow(2, 255), y: BigPow(2, 255)}, {x: BigPow(2, 256), y: big.NewInt(0)}, {x: new(big.Int).Add(BigPow(2, 256), big.NewInt(1)), y: big.NewInt(1)}, // negative values {x: big.NewInt(-1), y: new(big.Int).Sub(BigPow(2, 256), big.NewInt(1))}, {x: big.NewInt(-2), y: new(big.Int).Sub(BigPow(2, 256), big.NewInt(2))}, {x: BigPow(2, -255), y: big.NewInt(1)}, } for _, test := range tests { if y := U256(new(big.Int).Set(test.x)); y.Cmp(test.y) != 0 { t.Errorf("U256(%x) = %x, want %x", test.x, y, test.y) } } } func TestBigEndianByteAt(t *testing.T) { tests := []struct { x string y int exp byte }{ {"00", 0, 0x00}, {"01", 1, 0x00}, {"00", 1, 0x00}, {"01", 0, 0x01}, {"0000000000000000000000000000000000000000000000000000000000102030", 0, 0x30}, {"0000000000000000000000000000000000000000000000000000000000102030", 1, 0x20}, {"ABCDEF0908070605040302010000000000000000000000000000000000000000", 31, 0xAB}, {"ABCDEF0908070605040302010000000000000000000000000000000000000000", 32, 0x00}, {"ABCDEF0908070605040302010000000000000000000000000000000000000000", 500, 0x00}, } for _, test := range tests { v := new(big.Int).SetBytes(common.Hex2Bytes(test.x)) actual := bigEndianByteAt(v, test.y) if actual != test.exp { t.Fatalf("Expected [%v] %v:th byte to be %v, was %v.", test.x, test.y, test.exp, actual) } } } func TestLittleEndianByteAt(t *testing.T) { tests := []struct { x string y int exp byte }{ {"00", 0, 0x00}, {"01", 1, 0x00}, {"00", 1, 0x00}, {"01", 0, 0x00}, {"0000000000000000000000000000000000000000000000000000000000102030", 0, 0x00}, {"0000000000000000000000000000000000000000000000000000000000102030", 1, 0x00}, {"ABCDEF0908070605040302010000000000000000000000000000000000000000", 31, 0x00}, {"ABCDEF0908070605040302010000000000000000000000000000000000000000", 32, 0x00}, {"ABCDEF0908070605040302010000000000000000000000000000000000000000", 0, 0xAB}, {"ABCDEF0908070605040302010000000000000000000000000000000000000000", 1, 0xCD}, {"00CDEF090807060504030201ffffffffffffffffffffffffffffffffffffffff", 0, 0x00}, {"00CDEF090807060504030201ffffffffffffffffffffffffffffffffffffffff", 1, 0xCD}, {"0000000000000000000000000000000000000000000000000000000000102030", 31, 0x30}, {"0000000000000000000000000000000000000000000000000000000000102030", 30, 0x20}, {"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 32, 0x0}, {"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 31, 0xFF}, {"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 0xFFFF, 0x0}, } for _, test := range tests { v := new(big.Int).SetBytes(common.Hex2Bytes(test.x)) actual := Byte(v, 32, test.y) if actual != test.exp { t.Fatalf("Expected [%v] %v:th byte to be %v, was %v.", test.x, test.y, test.exp, actual) } } } func TestS256(t *testing.T) { tests := []struct{ x, y *big.Int }{ {x: big.NewInt(0), y: big.NewInt(0)}, {x: big.NewInt(1), y: big.NewInt(1)}, {x: big.NewInt(2), y: big.NewInt(2)}, { x: new(big.Int).Sub(BigPow(2, 255), big.NewInt(1)), y: new(big.Int).Sub(BigPow(2, 255), big.NewInt(1)), }, { x: BigPow(2, 255), y: new(big.Int).Neg(BigPow(2, 255)), }, { x: new(big.Int).Sub(BigPow(2, 256), big.NewInt(1)), y: big.NewInt(-1), }, { x: new(big.Int).Sub(BigPow(2, 256), big.NewInt(2)), y: big.NewInt(-2), }, } for _, test := range tests { if y := S256(test.x); y.Cmp(test.y) != 0 { t.Errorf("S256(%x) = %x, want %x", test.x, y, test.y) } } } func TestExp(t *testing.T) { tests := []struct{ base, exponent, result *big.Int }{ {base: big.NewInt(0), exponent: big.NewInt(0), result: big.NewInt(1)}, {base: big.NewInt(1), exponent: big.NewInt(0), result: big.NewInt(1)}, {base: big.NewInt(1), exponent: big.NewInt(1), result: big.NewInt(1)}, {base: big.NewInt(1), exponent: big.NewInt(2), result: big.NewInt(1)}, {base: big.NewInt(3), exponent: big.NewInt(144), result: MustParseBig256("507528786056415600719754159741696356908742250191663887263627442114881")}, {base: big.NewInt(2), exponent: big.NewInt(255), result: MustParseBig256("57896044618658097711785492504343953926634992332820282019728792003956564819968")}, } for _, test := range tests { if result := Exp(test.base, test.exponent); result.Cmp(test.result) != 0 { t.Errorf("Exp(%d, %d) = %d, want %d", test.base, test.exponent, result, test.result) } } }