all: unify big.Int zero checks, use common/math in more places (#3716)

* common/math: optimize PaddedBigBytes, use it more

name              old time/op    new time/op    delta
PaddedBigBytes-8    71.1ns ± 5%    46.1ns ± 1%  -35.15%  (p=0.000 n=20+19)

name              old alloc/op   new alloc/op   delta
PaddedBigBytes-8     48.0B ± 0%     32.0B ± 0%  -33.33%  (p=0.000 n=20+20)

* all: unify big.Int zero checks

Various checks were in use. This commit replaces them all with Int.Sign,
which is cheaper and less code.

eg templates:

    func before(x *big.Int) bool { return x.BitLen() == 0 }
    func after(x *big.Int) bool  { return x.Sign() == 0 }

    func before(x *big.Int) bool { return x.BitLen() > 0 }
    func after(x *big.Int) bool  { return x.Sign() != 0 }

    func before(x *big.Int) int { return x.Cmp(common.Big0) }
    func after(x *big.Int) int  { return x.Sign() }

* common/math, crypto/secp256k1: make ReadBits public in package math

1 files changed, 23 insertions, 0 deletions

diff --git a/common/math/big_test.go b/common/math/big_test.go
index a0f48a8eb..6eb13f4f1 100644
--- a/common/math/big_test.go
+++ b/common/math/big_test.go
@@ -18,6 +18,7 @@ package math
 
 import (
 	"bytes"
+	"encoding/hex"
 	"math/big"
 	"testing"
 )
@@ -131,6 +132,28 @@ func TestPaddedBigBytes(t *testing.T) {
 	}
 }
 
+func BenchmarkPaddedBigBytes(b *testing.B) {
+	bigint := MustParseBig256("123456789123456789123456789123456789")
+	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)},