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NAME

       crypto - Crypto Functions

DESCRIPTION

       This module provides a set of cryptographic functions.

         * Hash  functions  -   Secure  Hash  Standard,  The MD5 Message Digest Algorithm (RFC 1321) and The MD4
           Message Digest Algorithm (RFC 1320)

         * Hmac functions -  Keyed-Hashing for Message Authentication (RFC 2104)

         * Block ciphers - DES and AES in Block Cipher Modes -  ECB, CBC, CFB, OFB and CTR

         *
            RSA encryption RFC 1321

         * Digital signatures Digital Signature Standard (DSS) and Elliptic Curve  Digital  Signature  Algorithm
           (ECDSA)

         *
            Secure Remote Password Protocol (SRP - RFC 2945)

DATA TYPES

       key_value()  = integer() | binary()

       Always binary() when used as return value

       rsa_public()  = [key_value()] = [E, N]

       Where E is the public exponent and N is public modulus.

       rsa_private() = [key_value()] = [E, N, D] | [E, N, D, P1, P2, E1, E2, C]

       Where  E  is the public exponent, N is public modulus and D is the private exponent.The longer key format
       contains redundant information that will make the calculation faster. P1,P2 are first  and  second  prime
       factors.  E1,E2  are first and second exponents. C is the CRT coefficient. Terminology is taken from  RFC
       3447.

       dss_public() = [key_value()] = [P, Q, G, Y]

       Where P, Q and G are the dss parameters and Y is the public key.

       dss_private() =  [key_value()] = [P, Q, G, X]

       Where P, Q and G are the dss parameters and X is the private key.

       srp_public() = key_value()

       Where is A or B from SRP design

       srp_private() = key_value()

       Where is a or b from SRP design

       Where Verifier is v, Generator is g and Prime is N, DerivedKey is X, and Scrambler is u (optional will be
       generated if not provided) from SRP design Version = '3' | '6' | '6a'

       dh_public() = key_value()

       dh_private() = key_value()

       dh_params() = [key_value()] = [P, G]

       ecdh_public() = key_value()

       ecdh_private() = key_value()

       ecdh_params() =  ec_named_curve() |
           {ec_field(), Prime :: key_value(), Point :: key_value(), Order :: integer(), CoFactor :: none | integer()}

       ec_field() = {prime_field, Prime :: integer()} |
           {characteristic_two_field, M :: integer(), Basis :: ec_basis()}

       ec_basis() =  {tpbasis, K :: non_neg_integer()} |
           {ppbasis, K1 :: non_neg_integer(), K2 :: non_neg_integer(), K3 :: non_neg_integer()} |
           onbasis

       ec_named_curve() ->
             sect571r1| sect571k1| sect409r1| sect409k1| secp521r1| secp384r1| secp224r1| secp224k1|
             secp192k1| secp160r2| secp128r2| secp128r1| sect233r1| sect233k1| sect193r2| sect193r1|
             sect131r2| sect131r1| sect283r1| sect283k1| sect163r2| secp256k1| secp160k1| secp160r1|
             secp112r2| secp112r1| sect113r2| sect113r1| sect239k1| sect163r1| sect163k1| secp256r1|
             secp192r1

       stream_cipher() = rc4 | aes_ctr

       block_cipher() =  aes_cbc128 | aes_cfb128 | blowfish_cbc |
            blowfish_cfb64 | des_cbc | des_cfb | des3_cbc | des3_cbf
            | des_ede3 | rc2_cbc

       stream_key() =  aes_key() | rc4_key()

       block_key() =  aes_key() |  blowfish_key() | des_key()| des3_key()

       aes_key() = iodata()

       rc4_key() = iodata()

       blowfish_key() = iodata()

       des_key() = iodata()

       des3_key() = [binary(), binary(), binary()]

       digest_type() =  md5 | sha | sha224 | sha256 | sha384 | sha512

        hash_algorithms() =  md5 | ripemd160 | sha | sha224 | sha256 | sha384 | sha512

        cipher_algorithms() = des_cbc | des_cfb |  des3_cbc | des3_cbf | des_ede3 |
            blowfish_cbc | blowfish_cfb64 | aes_cbc128 | aes_cfb128| aes_cbc256 | rc2_cbc | aes_ctr| rc4

        public_key_algorithms() =   rsa |dss | ecdsa | dh | ecdh

EXPORTS

       block_encrypt(Type, Key, Ivec, PlainText) -> CipherText

              Types:

                 Type = block_cipher()
                 Key = block_key()
                 PlainText = iodata()
                 IVec = CipherText = binary()

              Encrypt PlainTextaccording to Type block cipher. IVec is an arbitrary initializing vector.

       block_decrypt(Type, Key, Ivec, CipherText) -> PlainText

              Types:

                 Type = block_cipher()
                 Key = block_key()
                 PlainText = iodata()
                 IVec = CipherText = binary()

              Decrypt CipherTextaccording to Type block cipher. IVec is an arbitrary initializing vector.

       bytes_to_integer(Bin) -> Integer

              Types:

                 Bin = binary() - as returned by crypto functions
                 Integer = integer()

              Convert binary representation, of an integer, to an Erlang integer.

       compute_key(Type, OthersPublicKey, MyKey, Params) -> SharedSecret

              Types:

                  Type = dh | ecdh | srp
                 OthersPublicKey = dh_public() | ecdh_public() | srp_public()
                 MyKey = dh_private() | ecdh_private() | {srp_public(),srp_private()}
                 Params = dh_params() | ecdh_params() | SrpUserParams | SrpHostParams
                 SrpUserParams    =    {user,   [DerivedKey::binary(),   Prime::binary(),   Generator::binary(),
                 Version::atom() | [Scrambler:binary()]]}
                 SrpHostParams   =    {host,    [Verifier::binary(),    Prime::binary(),    Version::atom()    |
                 [Scrambler::binary]]}
                 SharedSecret = binary()

              Computes  the  shared  secret  from  the  private  key  and the other party's public key. See also
              public_key:compute_key/2

       exor(Data1, Data2) -> Result

              Types:

                 Data1, Data2 = iodata()
                 Result = binary()

              Performs bit-wise XOR (exclusive or) on the data supplied.

       generate_key(Type, Params) -> {PublicKey, PrivKeyOut}
       generate_key(Type, Params, PrivKeyIn) -> {PublicKey, PrivKeyOut}

              Types:

                  Type = dh | ecdh | srp
                 Params = dh_params() | ecdh_params() | SrpUserParams | SrpHostParams
                 SrpUserParams = {user, [Generator::binary(), Prime::binary(), Version::atom()]}
                 SrpHostParams   =    {host,    [Verifier::binary(),    Generator::binary(),    Prime::binary(),
                 Version::atom()]}
                 PublicKey = dh_public() | ecdh_public() | srp_public()
                 PrivKeyIn = undefined | dh_private() | srp_private()
                 PrivKeyOut = dh_private() | ecdh_private() | srp_private()

              Generates public keys of type Type. See also public_key:generate_key/1

       hash(Type, Data) -> Digest

              Types:

                 Type = md4 | hash_algorithms()
                 Data = iodata()
                 Digest = binary()

              Computes a message digest of type Type from Data.

              May  throw  exception  notsup  in  case the chosen Type is not supported by the underlying OpenSSL
              implementation.

       hash_init(Type) -> Context

              Types:

                 Type = md4 | hash_algorithms()

              Initializes the context for streaming hash operations. Type determines which digest  to  use.  The
              returned context should be used as argument to hash_update.

              May  throw  exception  notsup  in  case the chosen Type is not supported by the underlying OpenSSL
              implementation.

       hash_update(Context, Data) -> NewContext

              Types:

                 Data = iodata()

              Updates the digest represented by Context using the given Data. Context must have  been  generated
              using  hash_init  or  a previous call to this function. Data can be any length. NewContext must be
              passed into the next call to hash_update or hash_final.

       hash_final(Context) -> Digest

              Types:

                 Digest = binary()

              Finalizes the hash operation referenced by Context returned from a previous call  to  hash_update.
              The size of Digest is determined by the type of hash function used to generate it.

       hmac(Type, Key, Data) -> Mac
       hmac(Type, Key, Data, MacLength) -> Mac

              Types:

                 Type = hash_algorithms() - except ripemd160
                 Key = iodata()
                 Data = iodata()
                 MacLength = integer()
                 Mac = binary()

              Computes  a  HMAC  of type Type from Data using Key as the authentication key.MacLength will limit
              the size of the resultant Mac.

       hmac_init(Type, Key) -> Context

              Types:

                 Type = hash_algorithms() - except ripemd160
                 Key = iodata()
                 Context = binary()

              Initializes the context for streaming HMAC operations. Type determines which hash function to  use
              in the HMAC operation. Key is the authentication key. The key can be any length.

       hmac_update(Context, Data) -> NewContext

              Types:

                 Context = NewContext = binary()
                 Data = iodata()

              Updates  the  HMAC  represented  by Context using the given Data. Context must have been generated
              using an HMAC init function (such as hmac_init). Data can be any length. NewContext must be passed
              into the next call to hmac_update or to one of the functions hmac_final and hmac_final_n

       hmac_final(Context) -> Mac

              Types:

                 Context = Mac = binary()

              Finalizes the HMAC operation referenced by Context. The size of the resultant MAC is determined by
              the type of hash function used to generate it.

       hmac_final_n(Context, HashLen) -> Mac

              Types:

                 Context = Mac = binary()
                 HashLen = non_neg_integer()

              Finalizes the HMAC operation referenced by Context. HashLen must be greater than zero. Mac will be
              a  binary  with  at  most HashLen bytes. Note that if HashLen is greater than the actual number of
              bytes returned from the underlying hash, the returned hash will have fewer than HashLen bytes.

       info_lib() -> [{Name,VerNum,VerStr}]

              Types:

                 Name = binary()
                 VerNum = integer()
                 VerStr = binary()

              Provides the name and version of the libraries used by crypto.

              Name is the name of the library. VerNum is the numeric version  according  to  the  library's  own
              versioning scheme. VerStr contains a text variant of the version.

              > info_lib().
              [{<<"OpenSSL">>,9469983,<<"OpenSSL 0.9.8a 11 Oct 2005">>}]

          Note:
              From   OTP   R16  the  numeric  version  represents  the  version  of  the  OpenSSL  header  files
              (openssl/opensslv.h) used when crypto was  compiled.  The  text  variant  represents  the  OpenSSL
              library used at runtime. In earlier OTP versions both numeric and text was taken from the library.

       mod_pow(N, P, M) -> Result

              Types:

                 N, P, M = binary() | integer()
                 Result = binary() | error

              Computes the function N^P mod M.

       next_iv(Type, Data) -> NextIVec
       next_iv(Type, Data, IVec) -> NextIVec

              Types:

                 Type = des_cbc | des3_cbc | aes_cbc | des_cfb
                 Data = iodata()
                 IVec = NextIVec = binary()

              Returns  the  initialization  vector  to  be used in the next iteration of encrypt/decrypt of type
              Type. Data is the encrypted data from the previous iteration  step.  The  IVec  argument  is  only
              needed for des_cfb as the vector used in the previous iteration step.

       private_decrypt(Type, ChipherText, PrivateKey, Padding) -> PlainText

              Types:

                 Type = rsa
                 ChipherText = binary()
                 PrivateKey = rsa_private()
                 Padding = rsa_pkcs1_padding | rsa_pkcs1_oaep_padding | rsa_no_padding
                 PlainText = binary()

              Decrypts  the  ChipherText,  encrypted  with  public_encrypt/4  (or equivalent function) using the
              PrivateKey, and returns the plaintext (message digest). This is a low level signature verification
              operation   used   for   instance   by   older   versions   of   the   SSL   protocol.   See  also
              public_key:decrypt_private/[2,3]

       private_encrypt(Type, PlainText, PrivateKey, Padding) -> ChipherText

              Types:

                 Type = rsa
                 PlainText = binary()
                    The size of the PlainText must be less than byte_size(N)-11 if  rsa_pkcs1_padding  is  used,
                   and byte_size(N) if rsa_no_padding is used, where N is public modulus of the RSA key.
                 PrivateKey = rsa_private()
                 Padding = rsa_pkcs1_padding | rsa_no_padding
                 ChipherText = binary()

              Encrypts  the  PlainText  using  the  PrivateKey  and  returns the ciphertext. This is a low level
              signature  operation  used  for  instance  by  older  versions  of  the  SSL  protocol.  See  also
              public_key:encrypt_private/[2,3]

       public_decrypt(Type, ChipherText, PublicKey, Padding) -> PlainText

              Types:

                 Type = rsa
                 ChipherText = binary()
                 PublicKey = rsa_public()
                 Padding = rsa_pkcs1_padding | rsa_no_padding
                 PlainText = binary()

              Decrypts  the  ChipherText,  encrypted  with  private_encrypt/4(or  equivalent function) using the
              PrivateKey, and returns the plaintext (message digest). This is a low level signature verification
              operation   used   for   instance   by   older   versions   of   the   SSL   protocol.   See  also
              public_key:decrypt_public/[2,3]

       public_encrypt(Type, PlainText, PublicKey, Padding) -> ChipherText

              Types:

                 Type = rsa
                 PlainText = binary()
                    The size of the PlainText must be less than byte_size(N)-11 if  rsa_pkcs1_padding  is  used,
                   and byte_size(N) if rsa_no_padding is used, where N is public modulus of the RSA key.
                 PublicKey = rsa_public()
                 Padding = rsa_pkcs1_padding | rsa_pkcs1_oaep_padding | rsa_no_padding
                 ChipherText = binary()

              Encrypts  the PlainText (message digest) using the PublicKey and returns the CipherText. This is a
              low level signature operation used for instance by older versions of the SSL  protocol.  See  also
              public_key:encrypt_public/[2,3]

       rand_bytes(N) -> binary()

              Types:

                 N = integer()

              Generates  N  bytes  randomly  uniform 0..255, and returns the result in a binary. Uses the crypto
              library pseudo-random number generator.

       rand_uniform(Lo, Hi) -> N

              Types:

                 Lo, Hi, N = integer()

              Generate a random number N, Lo =< N < Hi. Uses the crypto library pseudo-random number  generator.
              Hi must be larger than Lo.

       sign(Algorithm, DigestType, Msg, Key) -> binary()

              Types:

                 Algorithm = rsa | dss | ecdsa
                 Msg = binary() | {digest,binary()}
                   The  msg  is  either  the  binary  "cleartext" data to be signed or it is the hashed value of
                   "cleartext" i.e. the digest (plaintext).
                 DigestType = digest_type()
                 Key = rsa_private() | dss_private() | [ecdh_private(),ecdh_params()]

              Creates a digital signature.

              Algorithm dss can only be used together with digest type sha. See also public_key:sign/3

       start() -> ok

              Equivalent to application:start(crypto).

       stop() -> ok

              Equivalent to application:stop(crypto).

       strong_rand_bytes(N) -> binary()

              Types:

                 N = integer()

              Generates N  bytes  randomly  uniform  0..255,  and  returns  the  result  in  a  binary.  Uses  a
              cryptographically  secure  prng  seeded  and  periodically  mixed  with  operating system provided
              entropy. By default this is the RAND_bytes method from OpenSSL.

              May throw exception low_entropy in case  the  random  generator  failed  due  to  lack  of  secure
              "randomness".

       stream_init(Type, Key) -> State

              Types:

                 Type = rc4
                 State = opaque()
                 Key = iodata()

              Initializes the state for use in RC4 stream encryption stream_encrypt and stream_decrypt

       stream_init(Type, Key, IVec) -> State

              Types:

                 Type = aes_ctr
                 State = opaque()
                 Key = iodata()
                 IVec = binary()

              Initializes the state for use in streaming AES encryption using Counter mode (CTR). Key is the AES
              key and must be either 128, 192, or 256 bts long. IVec is an arbitrary initializing vector of  128
              bits (16 bytes). This state is for use with stream_encrypt and stream_decrypt.

       stream_encrypt(State, PlainText) -> { NewState, CipherText}

              Types:

                 Text = iodata()
                 CipherText = binary()

              Encrypts PlainText according to the stream cipher Type specified in stream_init/3. Text can be any
              number of bytes. The initial State is created using stream_init. NewState must be passed into  the
              next call to stream_encrypt.

       stream_decrypt(State, CipherText) -> { NewState, PlainText }

              Types:

                 CipherText = iodata()
                 PlainText = binary()

              Decrypts  CipherText according to the stream cipher Type specified in stream_init/3. PlainText can
              be any number of bytes. The initial State is created using stream_init. NewState  must  be  passed
              into the next call to stream_encrypt.

       supports() -> AlgorithmList

              Types:

                  AlgorithmList = [{hashs, [hash_algorithms()]}, {ciphers, [cipher_algorithms()]}, {public_keys,
                 [public_key_algorithms()]}

              Can be used to determine which crypto algorithms that are  supported  by  the  underlying  OpenSSL
              library

       verify(Algorithm, DigestType, Msg, Signature, Key) -> boolean()

              Types:

                  Algorithm = rsa | dss | ecdsa
                 Msg = binary() | {digest,binary()}
                   The  msg  is either the binary "cleartext" data or it is the hashed value of "cleartext" i.e.
                   the digest (plaintext).
                 DigestType = digest_type()
                 Signature = binary()
                 Key = rsa_public() | dss_public() | [ecdh_public(),ecdh_params()]

              Verifies a digital signature

              Algorithm dss can only be used together with digest type sha. See also public_key:verify/4