add Poseidon multihash ([]*big.Int), add HashBytes for MiMC7 & Poseidon

poseidon/poseidon.go

@@ -107,12 +107,13 @@ func ark(state []*big.Int, c *big.Int) []*big.Int {
 	return state
 }
 
-// cubic performs x^3 mod p
+// cubic performs x^5 mod p
+// https://eprint.iacr.org/2019/458.pdf page 8
 func cubic(a *big.Int) *big.Int {
 	return constants.fqR.Mul(a, constants.fqR.Square(constants.fqR.Square(a)))
 }
 
-// sbox https://eprint.iacr.org/2019/458.pdf pag.6
+// sbox https://eprint.iacr.org/2019/458.pdf page 6
 func sbox(state []*big.Int, i int) []*big.Int {
 	if (i < NROUNDSF/2) || (i >= NROUNDSF/2+NROUNDSP) {
 		for j := 0; j < T; j++ {
@@ -133,25 +134,18 @@ func mix(state []*big.Int, m [][]*big.Int) []*big.Int {
 			newState[i] = constants.fqR.Add(newState[i], constants.fqR.Mul(m[i][j], state[j]))
 		}
 	}
-	for i := 0; i < len(state); i++ {
-		state[i] = newState[i]
-	}
-	return state
+	return newState
 }
 
-// Hash computes the Poseidon hash for the given inputs
-func Hash(inp []*big.Int) (*big.Int, error) {
-	var state []*big.Int
+// PoseidonHash computes the Poseidon hash for the given inputs
+func PoseidonHash(inp []*big.Int) (*big.Int, error) {
 	if len(inp) == 0 || len(inp) > T {
 		return nil, errors.New("wrong inputs length")
 	}
 	if !utils.CheckBigIntArrayInField(inp, constants.fqR.Q) {
 		return nil, errors.New("inputs values not inside Finite Field")
 	}
-
-	for i := 0; i < len(inp); i++ {
-		state = append(state, inp[i])
-	}
+	state := inp
 	for i := len(inp); i < T; i++ {
 		state = append(state, constants.fqR.Zero())
 	}
@@ -164,3 +158,50 @@ func Hash(inp []*big.Int) (*big.Int, error) {
 	}
 	return state[0], nil
 }
+
+// Hash performs the Poseidon hash over a *big.Int array
+// in chunks of 5 elements
+func Hash(arr []*big.Int) (*big.Int, error) {
+	if !utils.CheckBigIntArrayInField(arr, constants.fqR.Q) {
+		return nil, errors.New("inputs values not inside Finite Field")
+	}
+
+	r := constants.fqR.Zero()
+	for i := 0; i < len(arr); i = i + 5 {
+		var fiveElems []*big.Int
+		for j := 0; j < 5; j++ {
+			if i+j < len(arr) {
+				fiveElems = append(fiveElems, arr[i+j])
+			} else {
+				fiveElems = append(fiveElems, big.NewInt(int64(0)))
+			}
+		}
+		ph, err := PoseidonHash(fiveElems)
+		if err != nil {
+			return nil, err
+		}
+		r = constants.fqR.Add(
+			r,
+			ph)
+	}
+
+	return r, nil
+}
+
+// HashBytes hashes a msg byte slice by blocks of 31 bytes encoded as
+// little-endian
+func HashBytes(b []byte) (*big.Int, error) {
+	n := 31
+	bElems := make([]*big.Int, 0, len(b)/n+1)
+	for i := 0; i < len(b)/n; i++ {
+		v := new(big.Int)
+		utils.SetBigIntFromLEBytes(v, b[n*i:n*(i+1)])
+		bElems = append(bElems, v)
+	}
+	if len(b)%n != 0 {
+		v := new(big.Int)
+		utils.SetBigIntFromLEBytes(v, b[(len(b)/n)*n:])
+		bElems = append(bElems, v)
+	}
+	return Hash(bElems)
+}

poseidon/poseidon_test.go

@@ -5,6 +5,7 @@ import (
 	"math/big"
 	"testing"
 
+	"github.com/iden3/go-iden3-crypto/utils"
 	"github.com/stretchr/testify/assert"
 	"golang.org/x/crypto/blake2b"
 )
@@ -26,4 +27,41 @@ func TestPoseidon(t *testing.T) {
 	h, err = Hash([]*big.Int{b3, b4})
 	assert.Nil(t, err)
 	assert.Equal(t, "17185195740979599334254027721507328033796809509313949281114643312710535000993", h.String())
+
+	msg := []byte("Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.")
+	n := 31
+	msgElems := make([]*big.Int, 0, len(msg)/n+1)
+	for i := 0; i < len(msg)/n; i++ {
+		v := new(big.Int)
+		utils.SetBigIntFromLEBytes(v, msg[n*i:n*(i+1)])
+		msgElems = append(msgElems, v)
+	}
+	if len(msg)%n != 0 {
+		v := new(big.Int)
+		utils.SetBigIntFromLEBytes(v, msg[(len(msg)/n)*n:])
+		msgElems = append(msgElems, v)
+	}
+	hmsg, err := Hash(msgElems)
+	assert.Nil(t, err)
+	assert.Equal(t, "11821124228916291136371255062457365369197326845706357273715164664419275913793", hmsg.String())
+
+	msg2 := []byte("Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum. Lorem ipsum dolor sit amet.")
+	msg2Elems := make([]*big.Int, 0, len(msg2)/n+1)
+	for i := 0; i < len(msg2)/n; i++ {
+		v := new(big.Int)
+		utils.SetBigIntFromLEBytes(v, msg2[n*i:n*(i+1)])
+		msg2Elems = append(msg2Elems, v)
+	}
+	if len(msg2)%n != 0 {
+		v := new(big.Int)
+		utils.SetBigIntFromLEBytes(v, msg2[(len(msg2)/n)*n:])
+		msg2Elems = append(msg2Elems, v)
+	}
+	hmsg2, err := Hash(msg2Elems)
+	assert.Nil(t, err)
+	assert.Equal(t, "10747013384255785702102976082726575658403084163954725275481577373644732938016", hmsg2.String())
+
+	hmsg2, err = HashBytes(msg2)
+	assert.Nil(t, err)
+	assert.Equal(t, "10747013384255785702102976082726575658403084163954725275481577373644732938016", hmsg2.String())
 }