go/amcl-go/ECDH.go - incubator-milagro-crypto - Git at Google

 /*
 Licensed to the Apache Software Foundation (ASF) under one
 or more contributor license agreements.  See the NOTICE file
 distributed with this work for additional information
 regarding copyright ownership.  The ASF licenses this file
 to you under the Apache License, Version 2.0 (the
 "License"); you may not use this file except in compliance
 with the License.  You may obtain a copy of the License at

   http://www.apache.org/licenses/LICENSE-2.0

 Unless required by applicable law or agreed to in writing,
 software distributed under the License is distributed on an
 "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
 KIND, either express or implied.  See the License for the
 specific language governing permissions and limitations
 under the License.
 */

 /* Elliptic Curve API high-level functions  */

 package amcl

 import "fmt"

 const ECDH_INVALID_PUBLIC_KEY int = -2
 const ECDH_ERROR int = -3
 const ECDH_INVALID int = -4
 const ECDH_EFS int = int(MODBYTES)
 const ECDH_EGS int = int(MODBYTES)
 const ECDH_EAS int = 16
 const ECDH_EBS int = 16

 /* Convert Integer to n-byte array */
 func inttoBytes(n int, len int) []byte {
 	var b []byte
 	var i int
 	for i = 0; i < len; i++ {
 		b = append(b, 0)
 	}
 	i = len
 	for n > 0 && i > 0 {
 		i--
 		b[i] = byte(n & 0xff)
 		n /= 256
 	}
 	return b
 }

 /* Key Derivation Functions */
 /* Input octet Z */
 /* Output key of length olen */
 func KDF1(Z []byte, olen int) []byte {
 	/* NOTE: the parameter olen is the length of the output K in bytes */
 	H := NewHASH()
 	hlen := 32
 	var K []byte
 	k := 0

 	for i := 0; i < olen; i++ {
 		K = append(K, 0)
 	}

 	cthreshold := olen / hlen
 	if olen%hlen != 0 {
 		cthreshold++
 	}

 	for counter := 0; counter < cthreshold; counter++ {
 		H.Process_array(Z)
 		if counter > 0 {
 			H.Process_num(int32(counter))
 		}
 		B := H.Hash()
 		if k+hlen > olen {
 			for i := 0; i < olen%hlen; i++ {
 				K[k] = B[i]
 				k++
 			}
 		} else {
 			for i := 0; i < hlen; i++ {
 				K[k] = B[i]
 				k++
 			}
 		}
 	}
 	return K
 }

 func KDF2(Z []byte, P []byte, olen int) []byte {
 	/* NOTE: the parameter olen is the length of the output k in bytes */
 	H := NewHASH()
 	hlen := 32
 	var K []byte

 	k := 0

 	for i := 0; i < olen; i++ {
 		K = append(K, 0)
 	}

 	cthreshold := olen / hlen
 	if olen%hlen != 0 {
 		cthreshold++
 	}

 	for counter := 1; counter <= cthreshold; counter++ {
 		H.Process_array(Z)
 		H.Process_num(int32(counter))
 		H.Process_array(P)
 		B := H.Hash()
 		if k+hlen > olen {
 			for i := 0; i < olen%hlen; i++ {
 				K[k] = B[i]
 				k++
 			}
 		} else {
 			for i := 0; i < hlen; i++ {
 				K[k] = B[i]
 				k++
 			}
 		}
 	}
 	return K
 }

 /* Password based Key Derivation Function */
 /* Input password p, salt s, and repeat count */
 /* Output key of length olen */
 func PBKDF2(Pass []byte, Salt []byte, rep int, olen int) []byte {
 	d := olen / 32
 	if olen%32 != 0 {
 		d++
 	}
 	var F [ECDH_EFS]byte
 	var U [ECDH_EFS]byte

 	var S []byte

 	//byte[] S=new byte[Salt.length+4];

 	var K []byte
 	//byte[] K=new byte[d*EFS];
 	//opt:=0

 	for i := 1; i <= d; i++ {
 		for j := 0; j < len(Salt); j++ {
 			S = append(S, Salt[j])
 		}
 		N := inttoBytes(i, 4)
 		for j := 0; j < 4; j++ {
 			S = append(S, N[j])
 		}

 		HMAC(S, Pass, F[:])

 		for j := 0; j < ECDH_EFS; j++ {
 			U[j] = F[j]
 		}
 		for j := 2; j <= rep; j++ {
 			HMAC(U[:], Pass, U[:])
 			for k := 0; k < ECDH_EFS; k++ {
 				F[k] ^= U[k]
 			}
 		}
 		for j := 0; j < ECDH_EFS; j++ {
 			K = append(K, F[j])
 		}
 	}
 	var key []byte
 	for i := 0; i < olen; i++ {
 		key = append(key, K[i])
 	}
 	return key
 }

 /* Calculate HMAC of m using key k. HMAC is tag of length olen */
 func HMAC(M []byte, K []byte, tag []byte) int {
 	/* Input is from an octet m        *
 	* olen is requested output length in bytes. k is the key  *
 	* The output is the calculated tag */
 	var B [32]byte
 	var K0 [64]byte
 	olen := len(tag)

 	b := len(K0)
 	if olen < 4 || olen > 32 {
 		return 0
 	}

 	for i := 0; i < b; i++ {
 		K0[i] = 0
 	}

 	H := NewHASH()

 	if len(K) > b {
 		H.Process_array(K)
 		B = H.Hash()
 		for i := 0; i < 32; i++ {
 			K0[i] = B[i]
 		}
 	} else {
 		for i := 0; i < len(K); i++ {
 			K0[i] = K[i]
 		}
 	}

 	for i := 0; i < b; i++ {
 		K0[i] ^= 0x36
 	}
 	H.Process_array(K0[:])
 	H.Process_array(M)
 	B = H.Hash()

 	for i := 0; i < b; i++ {
 		K0[i] ^= 0x6a
 	}
 	H.Process_array(K0[:])
 	H.Process_array(B[:])
 	B = H.Hash()

 	for i := 0; i < olen; i++ {
 		tag[i] = B[i]
 	}

 	return 1
 }

 /* AES encryption/decryption. Encrypt byte array M using key K and returns ciphertext */
 func AES_CBC_IV0_ENCRYPT(K []byte, M []byte) []byte { /* AES CBC encryption, with Null IV and key K */
 	/* Input is from an octet string M, output is to an octet string C */
 	/* Input is padded as necessary to make up a full final block */
 	a := NewAES()
 	fin := false

 	var buff [16]byte
 	var C []byte

 	a.Init(aes_CBC, K, nil)

 	ipt := 0 //opt:=0
 	var i int
 	for true {
 		for i = 0; i < 16; i++ {
 			if ipt < len(M) {
 				buff[i] = M[ipt]
 				ipt++
 			} else {
 				fin = true
 				break
 			}
 		}
 		if fin {
 			break
 		}
 		a.Encrypt(buff[:])
 		for i = 0; i < 16; i++ {
 			C = append(C, buff[i])
 		}
 	}

 	/* last block, filled up to i-th index */

 	padlen := 16 - i
 	for j := i; j < 16; j++ {
 		buff[j] = byte(padlen)
 	}

 	a.Encrypt(buff[:])

 	for i = 0; i < 16; i++ {
 		C = append(C, buff[i])
 	}
 	a.End()
 	return C
 }

 /* returns plaintext if all consistent, else returns null string */
 func AES_CBC_IV0_DECRYPT(K []byte, C []byte) []byte { /* padding is removed */
 	a := NewAES()
 	var buff [16]byte
 	var MM []byte
 	var M []byte

 	var i int
 	ipt := 0
 	opt := 0

 	a.Init(aes_CBC, K, nil)

 	if len(C) == 0 {
 		return nil
 	}
 	ch := C[ipt]
 	ipt++

 	fin := false

 	for true {
 		for i = 0; i < 16; i++ {
 			buff[i] = ch
 			if ipt >= len(C) {
 				fin = true
 				break
 			} else {
 				ch = C[ipt]
 				ipt++
 			}
 		}
 		a.Decrypt(buff[:])
 		if fin {
 			break
 		}
 		for i = 0; i < 16; i++ {
 			MM = append(MM, buff[i])
 			opt++
 		}
 	}

 	a.End()
 	bad := false
 	padlen := int(buff[15])
 	if i != 15 || padlen < 1 || padlen > 16 {
 		bad = true
 	}
 	if padlen >= 2 && padlen <= 16 {
 		for i = 16 - padlen; i < 16; i++ {
 			if buff[i] != byte(padlen) {
 				bad = true
 			}
 		}
 	}

 	if !bad {
 		for i = 0; i < 16-padlen; i++ {
 			MM = append(MM, buff[i])
 			opt++
 		}
 	}

 	if bad {
 		return nil
 	}

 	for i = 0; i < opt; i++ {
 		M = append(M, MM[i])
 	}

 	return M
 }

 /* Calculate a public/private EC GF(p) key pair W,S where W=S.G mod EC(p),
  * where S is the secret key and W is the public key
  * and G is fixed generator.
  * If RNG is NULL then the private key is provided externally in S
  * otherwise it is generated randomly internally */
 func ECDH_KEY_PAIR_GENERATE(RNG *RAND, S []byte, W []byte) int {
 	res := 0
 	var T [ECDH_EFS]byte
 	var s *BIG
 	var G *ECP

 	gx := NewBIGints(CURVE_Gx)
 	if CURVETYPE != MONTGOMERY {
 		gy := NewBIGints(CURVE_Gy)
 		G = NewECPbigs(gx, gy)
 	} else {
 		G = NewECPbig(gx)
 	}

 	r := NewBIGints(CURVE_Order)

 	if RNG == nil {
 		s = fromBytes(S)
 	} else {
 		s = randomnum(r, RNG)

 		s.toBytes(T[:])
 		for i := 0; i < ECDH_EGS; i++ {
 			S[i] = T[i]
 		}
 	}

 	WP := G.mul(s)

 	WP.toBytes(W)

 	return res
 }

 /* validate public key. Set full=true for fuller check */
 func ECDH_PUBLIC_KEY_VALIDATE(full bool, W []byte) int {
 	WP := ECP_fromBytes(W)
 	res := 0

 	r := NewBIGints(CURVE_Order)

 	if WP.is_infinity() {
 		res = ECDH_INVALID_PUBLIC_KEY
 	}
 	if res == 0 && full {
 		WP = WP.mul(r)
 		if !WP.is_infinity() {
 			res = ECDH_INVALID_PUBLIC_KEY
 		}
 	}
 	return res
 }

 /* IEEE-1363 Diffie-Hellman online calculation Z=S.WD */
 func ECPSVDP_DH(S []byte, WD []byte, Z []byte) int {
 	res := 0
 	var T [ECDH_EFS]byte

 	s := fromBytes(S)

 	W := ECP_fromBytes(WD)
 	if W.is_infinity() {
 		res = ECDH_ERROR
 	}

 	if res == 0 {
 		r := NewBIGints(CURVE_Order)
 		s.mod(r)
 		W = W.mul(s)
 		if W.is_infinity() {
 			res = ECDH_ERROR
 		} else {
 			W.getX().toBytes(T[:])
 			for i := 0; i < ECDH_EFS; i++ {
 				Z[i] = T[i]
 			}
 		}
 	}
 	return res
 }

 /* IEEE ECDSA Signature, C and D are signature on F using private key S */
 func ECPSP_DSA(RNG *RAND, S []byte, F []byte, C []byte, D []byte) int {
 	var T [ECDH_EFS]byte

 	H := NewHASH()
 	H.Process_array(F)
 	B := H.Hash()

 	gx := NewBIGints(CURVE_Gx)
 	gy := NewBIGints(CURVE_Gy)

 	G := NewECPbigs(gx, gy)
 	r := NewBIGints(CURVE_Order)

 	s := fromBytes(S)
 	f := fromBytes(B[:])

 	c := NewBIGint(0)
 	d := NewBIGint(0)
 	V := NewECP()

 	for d.iszilch() {
 		u := randomnum(r, RNG)

 		V.copy(G)
 		V = V.mul(u)
 		vx := V.getX()
 		c.copy(vx)
 		c.mod(r)
 		if c.iszilch() {
 			continue
 		}
 		u.invmodp(r)
 		d.copy(modmul(s, c, r))
 		d.add(f)
 		d.copy(modmul(u, d, r))
 	}

 	c.toBytes(T[:])
 	for i := 0; i < ECDH_EFS; i++ {
 		C[i] = T[i]
 	}
 	d.toBytes(T[:])
 	for i := 0; i < ECDH_EFS; i++ {
 		D[i] = T[i]
 	}
 	return 0
 }

 /* IEEE1363 ECDSA Signature Verification. Signature C and D on F is verified using public key W */
 func ECPVP_DSA(W []byte, F []byte, C []byte, D []byte) int {
 	res := 0

 	H := NewHASH()
 	H.Process_array(F)
 	B := H.Hash()

 	gx := NewBIGints(CURVE_Gx)
 	gy := NewBIGints(CURVE_Gy)

 	G := NewECPbigs(gx, gy)
 	r := NewBIGints(CURVE_Order)

 	c := fromBytes(C)
 	d := fromBytes(D)
 	f := fromBytes(B[:])

 	if c.iszilch() || comp(c, r) >= 0 || d.iszilch() || comp(d, r) >= 0 {
 		res = ECDH_INVALID
 	}

 	if res == 0 {
 		d.invmodp(r)
 		f.copy(modmul(f, d, r))
 		h2 := modmul(c, d, r)

 		WP := ECP_fromBytes(W)
 		if WP.is_infinity() {
 			res = ECDH_ERROR
 		} else {
 			P := NewECP()
 			P.copy(WP)

 			P = P.mul2(h2, G, f)

 			if P.is_infinity() {
 				res = ECDH_INVALID
 			} else {
 				d = P.getX()
 				d.mod(r)

 				if comp(d, c) != 0 {
 					res = ECDH_INVALID
 				}
 			}
 		}
 	}

 	return res
 }

 /* IEEE1363 ECIES encryption. Encryption of plaintext M uses public key W and produces ciphertext V,C,T */
 func ECIES_ENCRYPT(P1 []byte, P2 []byte, RNG *RAND, W []byte, M []byte, V []byte, T []byte) []byte {
 	var Z [ECDH_EFS]byte
 	var VZ [3*ECDH_EFS + 1]byte
 	var K1 [ECDH_EAS]byte
 	var K2 [ECDH_EAS]byte
 	var U [ECDH_EGS]byte

 	if ECDH_KEY_PAIR_GENERATE(RNG, U[:], V) != 0 {
 		return nil
 	}
 	if ECPSVDP_DH(U[:], W, Z[:]) != 0 {
 		return nil
 	}

 	for i := 0; i < 2*ECDH_EFS+1; i++ {
 		VZ[i] = V[i]
 	}
 	for i := 0; i < ECDH_EFS; i++ {
 		VZ[2*ECDH_EFS+1+i] = Z[i]
 	}

 	K := KDF2(VZ[:], P1, ECDH_EFS)

 	for i := 0; i < ECDH_EAS; i++ {
 		K1[i] = K[i]
 		K2[i] = K[ECDH_EAS+i]
 	}

 	C := AES_CBC_IV0_ENCRYPT(K1[:], M)

 	L2 := inttoBytes(len(P2), 8)

 	var AC []byte

 	for i := 0; i < len(C); i++ {
 		AC = append(AC, C[i])
 	}
 	for i := 0; i < len(P2); i++ {
 		AC = append(AC, P2[i])
 	}
 	for i := 0; i < 8; i++ {
 		AC = append(AC, L2[i])
 	}

 	HMAC(AC, K2[:], T)

 	return C
 }

 /* IEEE1363 ECIES decryption. Decryption of ciphertext V,C,T using private key U outputs plaintext M */
 func ECIES_DECRYPT(P1 []byte, P2 []byte, V []byte, C []byte, T []byte, U []byte) []byte {
 	var Z [ECDH_EFS]byte
 	var VZ [3*ECDH_EFS + 1]byte
 	var K1 [ECDH_EAS]byte
 	var K2 [ECDH_EAS]byte

 	var TAG []byte = T[:]

 	if ECPSVDP_DH(U, V, Z[:]) != 0 {
 		return nil
 	}

 	for i := 0; i < 2*ECDH_EFS+1; i++ {
 		VZ[i] = V[i]
 	}
 	for i := 0; i < ECDH_EFS; i++ {
 		VZ[2*ECDH_EFS+1+i] = Z[i]
 	}

 	K := KDF2(VZ[:], P1, ECDH_EFS)

 	for i := 0; i < ECDH_EAS; i++ {
 		K1[i] = K[i]
 		K2[i] = K[ECDH_EAS+i]
 	}

 	M := AES_CBC_IV0_DECRYPT(K1[:], C)

 	if M == nil {
 		return nil
 	}

 	L2 := inttoBytes(len(P2), 8)

 	var AC []byte

 	for i := 0; i < len(C); i++ {
 		AC = append(AC, C[i])
 	}
 	for i := 0; i < len(P2); i++ {
 		AC = append(AC, P2[i])
 	}
 	for i := 0; i < 8; i++ {
 		AC = append(AC, L2[i])
 	}

 	HMAC(AC, K2[:], TAG)

 	same := true
 	for i := 0; i < len(T); i++ {
 		if T[i] != TAG[i] {
 			same = false
 		}
 	}
 	if !same {
 		return nil
 	}

 	return M
 }

 func ECDH_printBinary(array []byte) {
 	for i := 0; i < len(array); i++ {
 		fmt.Printf("%02x", array[i])
 	}
 	fmt.Printf("\n")
 }
	/*
	Licensed to the Apache Software Foundation (ASF) under one
	or more contributor license agreements. See the NOTICE file
	distributed with this work for additional information
	regarding copyright ownership. The ASF licenses this file
	to you under the Apache License, Version 2.0 (the
	"License"); you may not use this file except in compliance
	with the License. You may obtain a copy of the License at

	http://www.apache.org/licenses/LICENSE-2.0

	Unless required by applicable law or agreed to in writing,
	software distributed under the License is distributed on an
	"AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
	KIND, either express or implied. See the License for the
	specific language governing permissions and limitations
	under the License.
	*/

	/* Elliptic Curve API high-level functions */

	package amcl

	import "fmt"

	const ECDH_INVALID_PUBLIC_KEY int = -2
	const ECDH_ERROR int = -3
	const ECDH_INVALID int = -4
	const ECDH_EFS int = int(MODBYTES)
	const ECDH_EGS int = int(MODBYTES)
	const ECDH_EAS int = 16
	const ECDH_EBS int = 16

	/* Convert Integer to n-byte array */
	func inttoBytes(n int, len int) []byte {
	var b []byte
	var i int
	for i = 0; i < len; i++ {
	b = append(b, 0)
	}
	i = len
	for n > 0 && i > 0 {
	i--
	b[i] = byte(n & 0xff)
	n /= 256
	}
	return b
	}

	/* Key Derivation Functions */
	/* Input octet Z */
	/* Output key of length olen */
	func KDF1(Z []byte, olen int) []byte {
	/* NOTE: the parameter olen is the length of the output K in bytes */
	H := NewHASH()
	hlen := 32
	var K []byte
	k := 0

	for i := 0; i < olen; i++ {
	K = append(K, 0)
	}

	cthreshold := olen / hlen
	if olen%hlen != 0 {
	cthreshold++
	}

	for counter := 0; counter < cthreshold; counter++ {
	H.Process_array(Z)
	if counter > 0 {
	H.Process_num(int32(counter))
	}
	B := H.Hash()
	if k+hlen > olen {
	for i := 0; i < olen%hlen; i++ {
	K[k] = B[i]
	k++
	}
	} else {
	for i := 0; i < hlen; i++ {
	K[k] = B[i]
	k++
	}
	}
	}
	return K
	}

	func KDF2(Z []byte, P []byte, olen int) []byte {
	/* NOTE: the parameter olen is the length of the output k in bytes */
	H := NewHASH()
	hlen := 32
	var K []byte

	k := 0

	for i := 0; i < olen; i++ {
	K = append(K, 0)
	}

	cthreshold := olen / hlen
	if olen%hlen != 0 {
	cthreshold++
	}

	for counter := 1; counter <= cthreshold; counter++ {
	H.Process_array(Z)
	H.Process_num(int32(counter))
	H.Process_array(P)
	B := H.Hash()
	if k+hlen > olen {
	for i := 0; i < olen%hlen; i++ {
	K[k] = B[i]
	k++
	}
	} else {
	for i := 0; i < hlen; i++ {
	K[k] = B[i]
	k++
	}
	}
	}
	return K
	}

	/* Password based Key Derivation Function */
	/* Input password p, salt s, and repeat count */
	/* Output key of length olen */
	func PBKDF2(Pass []byte, Salt []byte, rep int, olen int) []byte {
	d := olen / 32
	if olen%32 != 0 {
	d++
	}
	var F [ECDH_EFS]byte
	var U [ECDH_EFS]byte

	var S []byte

	//byte[] S=new byte[Salt.length+4];

	var K []byte
	//byte[] K=new byte[d*EFS];
	//opt:=0

	for i := 1; i <= d; i++ {
	for j := 0; j < len(Salt); j++ {
	S = append(S, Salt[j])
	}
	N := inttoBytes(i, 4)
	for j := 0; j < 4; j++ {
	S = append(S, N[j])
	}

	HMAC(S, Pass, F[:])

	for j := 0; j < ECDH_EFS; j++ {
	U[j] = F[j]
	}
	for j := 2; j <= rep; j++ {
	HMAC(U[:], Pass, U[:])
	for k := 0; k < ECDH_EFS; k++ {
	F[k] ^= U[k]
	}
	}
	for j := 0; j < ECDH_EFS; j++ {
	K = append(K, F[j])
	}
	}
	var key []byte
	for i := 0; i < olen; i++ {
	key = append(key, K[i])
	}
	return key
	}

	/* Calculate HMAC of m using key k. HMAC is tag of length olen */
	func HMAC(M []byte, K []byte, tag []byte) int {
	/* Input is from an octet m *
	* olen is requested output length in bytes. k is the key *
	* The output is the calculated tag */
	var B [32]byte
	var K0 [64]byte
	olen := len(tag)

	b := len(K0)
	if olen < 4 \|\| olen > 32 {
	return 0
	}

	for i := 0; i < b; i++ {
	K0[i] = 0
	}

	H := NewHASH()

	if len(K) > b {
	H.Process_array(K)
	B = H.Hash()
	for i := 0; i < 32; i++ {
	K0[i] = B[i]
	}
	} else {
	for i := 0; i < len(K); i++ {
	K0[i] = K[i]
	}
	}

	for i := 0; i < b; i++ {
	K0[i] ^= 0x36
	}
	H.Process_array(K0[:])
	H.Process_array(M)
	B = H.Hash()

	for i := 0; i < b; i++ {
	K0[i] ^= 0x6a
	}
	H.Process_array(K0[:])
	H.Process_array(B[:])
	B = H.Hash()

	for i := 0; i < olen; i++ {
	tag[i] = B[i]
	}

	return 1
	}

	/* AES encryption/decryption. Encrypt byte array M using key K and returns ciphertext */
	func AES_CBC_IV0_ENCRYPT(K []byte, M []byte) []byte { /* AES CBC encryption, with Null IV and key K */
	/* Input is from an octet string M, output is to an octet string C */
	/* Input is padded as necessary to make up a full final block */
	a := NewAES()
	fin := false

	var buff [16]byte
	var C []byte

	a.Init(aes_CBC, K, nil)

	ipt := 0 //opt:=0
	var i int
	for true {
	for i = 0; i < 16; i++ {
	if ipt < len(M) {
	buff[i] = M[ipt]
	ipt++
	} else {
	fin = true
	break
	}
	}
	if fin {
	break
	}
	a.Encrypt(buff[:])
	for i = 0; i < 16; i++ {
	C = append(C, buff[i])
	}
	}

	/* last block, filled up to i-th index */

	padlen := 16 - i
	for j := i; j < 16; j++ {
	buff[j] = byte(padlen)
	}

	a.Encrypt(buff[:])

	for i = 0; i < 16; i++ {
	C = append(C, buff[i])
	}
	a.End()
	return C
	}

	/* returns plaintext if all consistent, else returns null string */
	func AES_CBC_IV0_DECRYPT(K []byte, C []byte) []byte { /* padding is removed */
	a := NewAES()
	var buff [16]byte
	var MM []byte
	var M []byte

	var i int
	ipt := 0
	opt := 0

	a.Init(aes_CBC, K, nil)

	if len(C) == 0 {
	return nil
	}
	ch := C[ipt]
	ipt++

	fin := false

	for true {
	for i = 0; i < 16; i++ {
	buff[i] = ch
	if ipt >= len(C) {
	fin = true
	break
	} else {
	ch = C[ipt]
	ipt++
	}
	}
	a.Decrypt(buff[:])
	if fin {
	break
	}
	for i = 0; i < 16; i++ {
	MM = append(MM, buff[i])
	opt++
	}
	}

	a.End()
	bad := false
	padlen := int(buff[15])
	if i != 15 \|\| padlen < 1 \|\| padlen > 16 {
	bad = true
	}
	if padlen >= 2 && padlen <= 16 {
	for i = 16 - padlen; i < 16; i++ {
	if buff[i] != byte(padlen) {
	bad = true
	}
	}
	}

	if !bad {
	for i = 0; i < 16-padlen; i++ {
	MM = append(MM, buff[i])
	opt++
	}
	}

	if bad {
	return nil
	}

	for i = 0; i < opt; i++ {
	M = append(M, MM[i])
	}

	return M
	}

	/* Calculate a public/private EC GF(p) key pair W,S where W=S.G mod EC(p),
	* where S is the secret key and W is the public key
	* and G is fixed generator.
	* If RNG is NULL then the private key is provided externally in S
	* otherwise it is generated randomly internally */
	func ECDH_KEY_PAIR_GENERATE(RNG *RAND, S []byte, W []byte) int {
	res := 0
	var T [ECDH_EFS]byte
	var s *BIG
	var G *ECP

	gx := NewBIGints(CURVE_Gx)
	if CURVETYPE != MONTGOMERY {
	gy := NewBIGints(CURVE_Gy)
	G = NewECPbigs(gx, gy)
	} else {
	G = NewECPbig(gx)
	}

	r := NewBIGints(CURVE_Order)

	if RNG == nil {
	s = fromBytes(S)
	} else {
	s = randomnum(r, RNG)

	s.toBytes(T[:])
	for i := 0; i < ECDH_EGS; i++ {
	S[i] = T[i]
	}
	}

	WP := G.mul(s)

	WP.toBytes(W)

	return res
	}

	/* validate public key. Set full=true for fuller check */
	func ECDH_PUBLIC_KEY_VALIDATE(full bool, W []byte) int {
	WP := ECP_fromBytes(W)
	res := 0

	r := NewBIGints(CURVE_Order)

	if WP.is_infinity() {
	res = ECDH_INVALID_PUBLIC_KEY
	}
	if res == 0 && full {
	WP = WP.mul(r)
	if !WP.is_infinity() {
	res = ECDH_INVALID_PUBLIC_KEY
	}
	}
	return res
	}

	/* IEEE-1363 Diffie-Hellman online calculation Z=S.WD */
	func ECPSVDP_DH(S []byte, WD []byte, Z []byte) int {
	res := 0
	var T [ECDH_EFS]byte

	s := fromBytes(S)

	W := ECP_fromBytes(WD)
	if W.is_infinity() {
	res = ECDH_ERROR
	}

	if res == 0 {
	r := NewBIGints(CURVE_Order)
	s.mod(r)
	W = W.mul(s)
	if W.is_infinity() {
	res = ECDH_ERROR
	} else {
	W.getX().toBytes(T[:])
	for i := 0; i < ECDH_EFS; i++ {
	Z[i] = T[i]
	}
	}
	}
	return res
	}

	/* IEEE ECDSA Signature, C and D are signature on F using private key S */
	func ECPSP_DSA(RNG *RAND, S []byte, F []byte, C []byte, D []byte) int {
	var T [ECDH_EFS]byte

	H := NewHASH()
	H.Process_array(F)
	B := H.Hash()

	gx := NewBIGints(CURVE_Gx)
	gy := NewBIGints(CURVE_Gy)

	G := NewECPbigs(gx, gy)
	r := NewBIGints(CURVE_Order)

	s := fromBytes(S)
	f := fromBytes(B[:])

	c := NewBIGint(0)
	d := NewBIGint(0)
	V := NewECP()

	for d.iszilch() {
	u := randomnum(r, RNG)

	V.copy(G)
	V = V.mul(u)
	vx := V.getX()
	c.copy(vx)
	c.mod(r)
	if c.iszilch() {
	continue
	}
	u.invmodp(r)
	d.copy(modmul(s, c, r))
	d.add(f)
	d.copy(modmul(u, d, r))
	}

	c.toBytes(T[:])
	for i := 0; i < ECDH_EFS; i++ {
	C[i] = T[i]
	}
	d.toBytes(T[:])
	for i := 0; i < ECDH_EFS; i++ {
	D[i] = T[i]
	}
	return 0
	}

	/* IEEE1363 ECDSA Signature Verification. Signature C and D on F is verified using public key W */
	func ECPVP_DSA(W []byte, F []byte, C []byte, D []byte) int {
	res := 0

	H := NewHASH()
	H.Process_array(F)
	B := H.Hash()

	gx := NewBIGints(CURVE_Gx)
	gy := NewBIGints(CURVE_Gy)

	G := NewECPbigs(gx, gy)
	r := NewBIGints(CURVE_Order)

	c := fromBytes(C)
	d := fromBytes(D)
	f := fromBytes(B[:])

	if c.iszilch() \|\| comp(c, r) >= 0 \|\| d.iszilch() \|\| comp(d, r) >= 0 {
	res = ECDH_INVALID
	}

	if res == 0 {
	d.invmodp(r)
	f.copy(modmul(f, d, r))
	h2 := modmul(c, d, r)

	WP := ECP_fromBytes(W)
	if WP.is_infinity() {
	res = ECDH_ERROR
	} else {
	P := NewECP()
	P.copy(WP)

	P = P.mul2(h2, G, f)

	if P.is_infinity() {
	res = ECDH_INVALID
	} else {
	d = P.getX()
	d.mod(r)

	if comp(d, c) != 0 {
	res = ECDH_INVALID
	}
	}
	}
	}

	return res
	}

	/* IEEE1363 ECIES encryption. Encryption of plaintext M uses public key W and produces ciphertext V,C,T */
	func ECIES_ENCRYPT(P1 []byte, P2 []byte, RNG *RAND, W []byte, M []byte, V []byte, T []byte) []byte {
	var Z [ECDH_EFS]byte
	var VZ [3*ECDH_EFS + 1]byte
	var K1 [ECDH_EAS]byte
	var K2 [ECDH_EAS]byte
	var U [ECDH_EGS]byte

	if ECDH_KEY_PAIR_GENERATE(RNG, U[:], V) != 0 {
	return nil
	}
	if ECPSVDP_DH(U[:], W, Z[:]) != 0 {
	return nil
	}

	for i := 0; i < 2*ECDH_EFS+1; i++ {
	VZ[i] = V[i]
	}
	for i := 0; i < ECDH_EFS; i++ {
	VZ[2*ECDH_EFS+1+i] = Z[i]
	}

	K := KDF2(VZ[:], P1, ECDH_EFS)

	for i := 0; i < ECDH_EAS; i++ {
	K1[i] = K[i]
	K2[i] = K[ECDH_EAS+i]
	}

	C := AES_CBC_IV0_ENCRYPT(K1[:], M)

	L2 := inttoBytes(len(P2), 8)

	var AC []byte

	for i := 0; i < len(C); i++ {
	AC = append(AC, C[i])
	}
	for i := 0; i < len(P2); i++ {
	AC = append(AC, P2[i])
	}
	for i := 0; i < 8; i++ {
	AC = append(AC, L2[i])
	}

	HMAC(AC, K2[:], T)

	return C
	}

	/* IEEE1363 ECIES decryption. Decryption of ciphertext V,C,T using private key U outputs plaintext M */
	func ECIES_DECRYPT(P1 []byte, P2 []byte, V []byte, C []byte, T []byte, U []byte) []byte {
	var Z [ECDH_EFS]byte
	var VZ [3*ECDH_EFS + 1]byte
	var K1 [ECDH_EAS]byte
	var K2 [ECDH_EAS]byte

	var TAG []byte = T[:]

	if ECPSVDP_DH(U, V, Z[:]) != 0 {
	return nil
	}

	for i := 0; i < 2*ECDH_EFS+1; i++ {
	VZ[i] = V[i]
	}
	for i := 0; i < ECDH_EFS; i++ {
	VZ[2*ECDH_EFS+1+i] = Z[i]
	}

	K := KDF2(VZ[:], P1, ECDH_EFS)

	for i := 0; i < ECDH_EAS; i++ {
	K1[i] = K[i]
	K2[i] = K[ECDH_EAS+i]
	}

	M := AES_CBC_IV0_DECRYPT(K1[:], C)

	if M == nil {
	return nil
	}

	L2 := inttoBytes(len(P2), 8)

	var AC []byte

	for i := 0; i < len(C); i++ {
	AC = append(AC, C[i])
	}
	for i := 0; i < len(P2); i++ {
	AC = append(AC, P2[i])
	}
	for i := 0; i < 8; i++ {
	AC = append(AC, L2[i])
	}

	HMAC(AC, K2[:], TAG)

	same := true
	for i := 0; i < len(T); i++ {
	if T[i] != TAG[i] {
	same = false
	}
	}
	if !same {
	return nil
	}

	return M
	}

	func ECDH_printBinary(array []byte) {
	for i := 0; i < len(array); i++ {
	fmt.Printf("%02x", array[i])
	}
	fmt.Printf("\n")
	}