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NAME

       crypto - Crypto Functions

DESCRIPTION

       This module provides a set of cryptographic functions.

         Hash functions:

           SHA1, SHA2:
              Secure Hash Standard [FIPS PUB 180-4]

           SHA3:
              SHA-3  Standard:  Permutation-Based  Hash and Extendable-Output Functions [FIPS PUB
             202]

           BLAKE2:
             BLAKE2 — fast secure hashing

           MD5:
             The MD5 Message Digest Algorithm [RFC 1321]

           MD4:
             The MD4 Message Digest Algorithm [RFC 1320]

         MACs - Message Authentication Codes:

           Hmac functions:
              Keyed-Hashing for Message Authentication [RFC 2104]

           Cmac functions:
              The AES-CMAC Algorithm [RFC 4493]

           POLY1305:
              ChaCha20 and Poly1305 for IETF Protocols [RFC 7539]

         Symmetric Ciphers:

           DES, 3DES and AES:
             Block Cipher Techniques [NIST]

           Blowfish:
              Fast Software Encryption, Cambridge Security Workshop Proceedings (December  1993),
             Springer-Verlag, 1994, pp. 191-204.

           Chacha20:
              ChaCha20 and Poly1305 for IETF Protocols [RFC 7539]

           Chacha20_poly1305:
              ChaCha20 and Poly1305 for IETF Protocols [RFC 7539]

         Modes:

           ECB, CBC, CFB, OFB and CTR:
              Recommendation for Block Cipher Modes of Operation: Methods and Techniques [NIST SP
             800-38A]

           GCM:
              Recommendation for Block Cipher Modes of Operation: Galois/Counter Mode  (GCM)  and
             GMAC [NIST SP 800-38D]

           CCM:
              Recommendation for Block Cipher Modes of Operation: The CCM Mode for Authentication
             and Confidentiality [NIST SP 800-38C]

         Asymmetric Ciphers - Public Key Techniques:

           RSA:
              PKCS #1: RSA Cryptography Specifications [RFC 3447]

           DSS:
              Digital Signature Standard (DSS) [FIPS 186-4]

           ECDSA:
              Elliptic Curve Digital Signature Algorithm [ECDSA]

           SRP:
              The SRP Authentication and Key Exchange System [RFC 2945]

   Note:
       The actual supported algorithms and features depends on their availability in  the  actual
       libcrypto used. See the crypto (App) about dependencies.

       Enabling FIPS mode will also disable algorithms and features.

   Note:
       Compiling,  linking  and  running  with  OpenSSL  3.0  works although the crypto app calls
       deprecated functions. We do not recommend it for other than experimental purposes or alpha
       testing, since it is not extensively tested yet.

       The  CRYPTO  User's Guide has more information on FIPS, Engines and Algorithm Details like
       key lengths.

DATA TYPES

   Ciphers
       cipher() = cipher_no_iv() | cipher_iv() | cipher_aead()

       cipher_no_iv() =
           aes_128_ecb | aes_192_ecb | aes_256_ecb | aes_ecb |
           blowfish_ecb | des_ecb | rc4

       cipher_iv() =
           aes_128_cbc | aes_192_cbc | aes_256_cbc | aes_cbc |
           aes_128_cfb128 | aes_192_cfb128 | aes_256_cfb128 |
           aes_cfb128 | aes_128_cfb8 | aes_192_cfb8 | aes_256_cfb8 |
           aes_cfb8 | aes_128_ctr | aes_192_ctr | aes_256_ctr | aes_ctr |
           blowfish_cbc | blowfish_cfb64 | blowfish_ofb64 | chacha20 |
           des_ede3_cbc | des_ede3_cfb | des_cbc | des_cfb | rc2_cbc

       cipher_aead() =
           aes_128_ccm | aes_192_ccm | aes_256_ccm | aes_ccm |
           aes_128_gcm | aes_192_gcm | aes_256_gcm | aes_gcm |
           chacha20_poly1305

              Ciphers known by the CRYPTO application.

              Note that this list might be reduced if the underlying libcrypto does  not  support
              all of them.

       crypto_opts() = boolean() | [crypto_opt()]

       crypto_opt() = {encrypt, boolean()} | {padding, padding()}

              Selects encryption ({encrypt,true}) or decryption ({encrypt,false}).

       padding() = cryptolib_padding() | otp_padding()

              This  option  handles padding in the last block. If not set, no padding is done and
              any bytes in the last unfilled block is silently discarded.

       cryptolib_padding() = none | pkcs_padding

              The cryptolib_padding are paddings that may be present in the underlying  cryptolib
              linked to the Erlang/OTP crypto app.

              For  OpenSSL,  see the OpenSSL documentation. and find EVP_CIPHER_CTX_set_padding()
              in cryptolib for your linked version.

       otp_padding() = zero | random

              Erlang/OTP adds a either padding of zeroes or padding with random bytes.

   Digests and hash
       hash_algorithm() =
           sha1() |
           sha2() |
           sha3() |
           blake2() |
           ripemd160 |
           compatibility_only_hash()

       hmac_hash_algorithm() =
           sha1() | sha2() | sha3() | compatibility_only_hash()

       cmac_cipher_algorithm() =
           aes_128_cbc | aes_192_cbc | aes_256_cbc | aes_cbc |
           aes_128_cfb128 | aes_192_cfb128 | aes_256_cfb128 |
           aes_cfb128 | aes_128_cfb8 | aes_192_cfb8 | aes_256_cfb8 |
           aes_cfb8 | blowfish_cbc | des_cbc | des_ede3_cbc | rc2_cbc

       rsa_digest_type() = sha1() | sha2() | md5 | ripemd160

       dss_digest_type() = sha1() | sha2()

       ecdsa_digest_type() = sha1() | sha2()

       sha1() = sha

       sha2() = sha224 | sha256 | sha384 | sha512

       sha3() = sha3_224 | sha3_256 | sha3_384 | sha3_512

       blake2() = blake2b | blake2s

       compatibility_only_hash() = md5 | md4

              The compatibility_only_hash() algorithms are  recommended  only  for  compatibility
              with existing applications.

   Elliptic Curves
       ec_named_curve() =
           brainpoolP160r1 | brainpoolP160t1 | brainpoolP192r1 |
           brainpoolP192t1 | brainpoolP224r1 | brainpoolP224t1 |
           brainpoolP256r1 | brainpoolP256t1 | brainpoolP320r1 |
           brainpoolP320t1 | brainpoolP384r1 | brainpoolP384t1 |
           brainpoolP512r1 | brainpoolP512t1 | c2pnb163v1 | c2pnb163v2 |
           c2pnb163v3 | c2pnb176v1 | c2pnb208w1 | c2pnb272w1 |
           c2pnb304w1 | c2pnb368w1 | c2tnb191v1 | c2tnb191v2 |
           c2tnb191v3 | c2tnb239v1 | c2tnb239v2 | c2tnb239v3 |
           c2tnb359v1 | c2tnb431r1 | ipsec3 | ipsec4 | prime192v1 |
           prime192v2 | prime192v3 | prime239v1 | prime239v2 |
           prime239v3 | prime256v1 | secp112r1 | secp112r2 | secp128r1 |
           secp128r2 | secp160k1 | secp160r1 | secp160r2 | secp192k1 |
           secp192r1 | secp224k1 | secp224r1 | secp256k1 | secp256r1 |
           secp384r1 | secp521r1 | sect113r1 | sect113r2 | sect131r1 |
           sect131r2 | sect163k1 | sect163r1 | sect163r2 | sect193r1 |
           sect193r2 | sect233k1 | sect233r1 | sect239k1 | sect283k1 |
           sect283r1 | sect409k1 | sect409r1 | sect571k1 | sect571r1 |
           wtls1 | wtls10 | wtls11 | wtls12 | wtls3 | wtls4 | wtls5 |
           wtls6 | wtls7 | wtls8 | wtls9

       edwards_curve_dh() = x25519 | x448

       edwards_curve_ed() = ed25519 | ed448

              Note that some curves are disabled if FIPS is enabled.

       ec_explicit_curve() =
           {Field :: ec_field(),
            Curve :: ec_curve(),
            BasePoint :: binary(),
            Order :: binary(),
            CoFactor :: none | binary()}

       ec_field() = ec_prime_field() | ec_characteristic_two_field()

       ec_curve() =
           {A :: binary(), B :: binary(), Seed :: none | binary()}

              Parametric curve definition.

       ec_prime_field() = {prime_field, Prime :: integer()}

       ec_characteristic_two_field() =
           {characteristic_two_field,
            M :: integer(),
            Basis :: ec_basis()}

       ec_basis() =
           {tpbasis, K :: integer() >= 0} |
           {ppbasis,
            K1 :: integer() >= 0,
            K2 :: integer() >= 0,
            K3 :: integer() >= 0} |
           onbasis

              Curve definition details.

   Keys
       key_integer() = integer() | binary()

              Always binary() when used as return value

   Public/Private Keys
       rsa_public() = [key_integer()]

       rsa_private() = [key_integer()]

       rsa_params() =
           {ModulusSizeInBits :: integer(),
            PublicExponent :: key_integer()}

              rsa_public() = [E, N]

              rsa_private() = [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  and  P2  are  first  and second prime factors. E1 and E2 are first and
              second exponents. C is the CRT coefficient. The  terminology  is  taken  from   RFC
              3447.

       dss_public() = [key_integer()]

       dss_private() = [key_integer()]

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

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

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

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

       ecdsa_public() = key_integer()

       ecdsa_private() = key_integer()

       ecdsa_params() = ec_named_curve() | ec_explicit_curve()

       eddsa_public() = key_integer()

       eddsa_private() = key_integer()

       eddsa_params() = edwards_curve_ed()

       srp_public() = key_integer()

       srp_private() = key_integer()

              srp_public() = key_integer()

              Where is A or B from SRP design

              srp_private() = key_integer()

              Where is a or b from SRP design

       srp_gen_params() =
           {user, srp_user_gen_params()} | {host, srp_host_gen_params()}

       srp_comp_params() =
           {user, srp_user_comp_params()} |
           {host, srp_host_comp_params()}

       srp_user_gen_params() = [DerivedKey::binary(), Prime::binary(), Generator::binary(), Version::atom()]

       srp_host_gen_params() = [Verifier::binary(), Prime::binary(), Version::atom() ]

       srp_user_comp_params() = [DerivedKey::binary(), Prime::binary(), Generator::binary(), Version::atom() | ScramblerArg::list()]

       srp_host_comp_params() = [Verifier::binary(), Prime::binary(), Version::atom() | ScramblerArg::list()]

              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'

   Public Key Ciphers
       pk_encrypt_decrypt_algs() = rsa

              Algorithms for public key encrypt/decrypt. Only RSA is supported.

       pk_encrypt_decrypt_opts() = [rsa_opt()] | rsa_compat_opts()

       rsa_opt() =
           {rsa_padding, rsa_padding()} |
           {signature_md, atom()} |
           {rsa_mgf1_md, sha} |
           {rsa_oaep_label, binary()} |
           {rsa_oaep_md, sha}

       rsa_padding() =
           rsa_pkcs1_padding | rsa_pkcs1_oaep_padding |
           rsa_sslv23_padding | rsa_x931_padding | rsa_no_padding

              Options for public key encrypt/decrypt. Only RSA is supported.

          Warning:

              The RSA options are experimental.

              The exact set of options and there syntax may be changed without prior notice.

       rsa_compat_opts() = [{rsa_pad, rsa_padding()}] | rsa_padding()

              Those  option  forms  are kept only for compatibility and should not be used in new
              code.

   Public Key Sign and Verify
       pk_sign_verify_algs() = rsa | dss | ecdsa | eddsa

              Algorithms for sign and verify.

       pk_sign_verify_opts() = [rsa_sign_verify_opt()]

       rsa_sign_verify_opt() =
           {rsa_padding, rsa_sign_verify_padding()} |
           {rsa_pss_saltlen, integer()} |
           {rsa_mgf1_md, sha2()}

       rsa_sign_verify_padding() =
           rsa_pkcs1_padding | rsa_pkcs1_pss_padding | rsa_x931_padding |
           rsa_no_padding

              Options for sign and verify.

          Warning:

              The RSA options are experimental.

              The exact set of options and there syntax may be changed without prior notice.

   Diffie-Hellman Keys and parameters
       dh_public() = key_integer()

       dh_private() = key_integer()

       dh_params() = [key_integer()]

              dh_params() = [P, G] | [P, G, PrivateKeyBitLength]

       ecdh_public() = key_integer()

       ecdh_private() = key_integer()

       ecdh_params() =
           ec_named_curve() | edwards_curve_dh() | ec_explicit_curve()

   Types for Engines
       engine_key_ref() =
           #{engine := engine_ref(),
             key_id := key_id(),
             password => password(),
             term() => term()}

       engine_ref() = term()

              The result of a call to engine_load/3.

       key_id() = string() | binary()

              Identifies the key to be used. The format depends  on  the  loaded  engine.  It  is
              passed to the ENGINE_load_(private|public)_key functions in libcrypto.

       password() = string() | binary()

              The password of the key stored in an engine.

       engine_method_type() =
           engine_method_rsa | engine_method_dsa | engine_method_dh |
           engine_method_rand | engine_method_ecdh |
           engine_method_ecdsa | engine_method_ciphers |
           engine_method_digests | engine_method_store |
           engine_method_pkey_meths | engine_method_pkey_asn1_meths |
           engine_method_ec

       engine_cmnd() = {unicode:chardata(), unicode:chardata()}

              Pre and Post commands for engine_load/3 and /4.

   Internal data types
       crypto_state()

       hash_state()

       mac_state()

              Contexts  with  an internal state that should not be manipulated but passed between
              function calls.

   Error types
       run_time_error() = any()

              The exception error:badarg signifies that one or more arguments are of  wrong  data
              type, or are otherwise badly formed.

              The  exception  error:notsup  signifies  that  the  algorithm  is  known but is not
              supported by current underlying libcrypto  or  explicitly  disabled  when  building
              that.

              For a list of supported algorithms, see supports(ciphers).

       descriptive_error() = any()

              This is a more developed variant of the older run_time_error().

              The exception is:

                     {Tag, {C_FileName,LineNumber}, Description}

                      Tag = badarg | notsup | error
                      C_FileName = string()
                      LineNumber = integer()
                      Description = string()

              It is like the older type an exception of the error class. In addition they contain
              a descriptive text in English. That text is targeted to a developer.  Examples  are
              "Bad key size" or "Cipher id is not an atom".

              The exception tags are:

                badarg:
                  Signifies  that  one  or more arguments are of wrong data type or are otherwise
                  badly formed.

                notsup:
                  Signifies that  the  algorithm  is  known  but  is  not  supported  by  current
                  underlying libcrypto or explicitly disabled when building that one.

                error:
                  An  error  condition  that  should  not  occur, for example a memory allocation
                  failed or the underlying cryptolib returned an error code, for  example  "Can't
                  initialize  context,  step 1". Those text usually needs searching the C-code to
                  be understood.

              To catch the exception, use for example:

                     try crypto:crypto_init(Ciph, Key, IV, true)
                     catch
                         error:{Tag, {C_FileName,LineNumber}, Description} ->
                                 do_something(......)
                         .....
                     end

EXPORTS

       crypto_init(Cipher, Key, FlagOrOptions) ->
                      State | descriptive_error()

              Types:

                 Cipher = cipher_no_iv()
                 Key = iodata()
                 FlagOrOptions = crypto_opts() | boolean()
                 State = crypto_state()

              Equivalent to  the  call  crypto_init(Cipher,  Key,  <<>>,  FlagOrOptions).  It  is
              intended for ciphers without an IV (nounce).

       crypto_init(Cipher, Key, IV, FlagOrOptions) ->
                      State | descriptive_error()

              Types:

                 Cipher = cipher_iv()
                 Key = IV = iodata()
                 FlagOrOptions = crypto_opts()
                 State = crypto_state()

              Initializes  a  series  of encryptions or decryptions and creates an internal state
              with a reference that is returned.

              If IV = <<>>, no IV is used. This is intended for ciphers without an  IV  (nounce).
              See crypto_init/3.

              If IV = undefined, the IV must be added by calls to crypto_dyn_iv_update/3. This is
              intended for cases where the IV (nounce) need to be changed for each encryption and
              decryption. See crypto_dyn_iv_init/3.

              The   actual   encryption   or   decryption   is   done   by   crypto_update/2  (or
              crypto_dyn_iv_update/3 ).

              For encryption, set the FlagOrOptions to true or [{encrypt,true}]. For  decryption,
              set it to false or [{encrypt,false}].

              Padding  could  be enabled with the option {padding,Padding}. The cryptolib_padding
              enables pkcs_padding or no padding (none). The paddings zero or  random  fills  the
              last  part  of  the  last  block  with zeroes or random bytes. If the last block is
              already full, nothing is added.

              In  decryption,  the  cryptolib_padding  removes  such  padding,  if  present.  The
              otp_padding is not removed - it has to be done elsewhere.

              If  padding  is  {padding,none}  or  not  specified  and  the  total  data from all
              subsequent crypto_updates does not fill the last block fully,  that  last  data  is
              lost.  In case of {padding,none} there will be an error in this case. If padding is
              not specified, the bytes of the unfilled block is silently discarded.

              The actual padding is performed by crypto_final/1.

              For blocksizes call cipher_info/1.

              See  examples in the User's Guide.

       crypto_update(State, Data) -> Result | descriptive_error()

              Types:

                 State = crypto_state()
                 Data = iodata()
                 Result = binary()

              It does an actual crypto operation on a part of the full text. If the part is  less
              than a number of full blocks, only the full blocks (possibly none) are encrypted or
              decrypted and the remaining bytes are saved to the  next  crypto_update  operation.
              The State should be created with crypto_init/3 or crypto_init/4.

              See  examples in the User's Guide.

       crypto_dyn_iv_init(Cipher, Key, FlagOrOptions) ->
                             State | descriptive_error()

              Types:

                 Cipher = cipher_iv()
                 Key = iodata()
                 FlagOrOptions = crypto_opts() | boolean()
                 State = crypto_state()

              Initializes  a series of encryptions or decryptions where the IV is provided later.
              The actual encryption or decryption is done by crypto_dyn_iv_update/3.

              The function is equivalent to crypto_init(Cipher, Key, undefined, FlagOrOptions).

       crypto_final(State) -> FinalResult | descriptive_error()

              Types:

                 State = crypto_state()
                 FinalResult = binary()

              Finalizes a series of encryptions or decryptions and delivers the  final  bytes  of
              the  final  block.  The data returned from this function may be empty if no padding
              was enabled in crypto_init/3,4 or crypto_dyn_iv_init/3.

       crypto_get_data(State) -> Result

              Types:

                 State = crypto_state()
                 Result = map()

              Returns information about the State in the argument. The information is the form of
              a map, which currently contains at least:

                size:
                  The number of bytes encrypted or decrypted so far.

                padding_size:
                  After  a  call  to  crypto_final/1  it  contains  the  number  of bytes padded.
                  Otherwise 0.

                padding_type:
                  The type of the padding as provided in the call to crypto_init/3,4.

                encrypt:
                  Is true if encryption is performed. It is false otherwise.

       crypto_dyn_iv_update(State, Data, IV) ->
                               Result | descriptive_error()

              Types:

                 State = crypto_state()
                 Data = IV = iodata()
                 Result = binary()

              Do an actual crypto operation on a part of the full text and the IV is supplied for
              each part. The State should be created with crypto_dyn_iv_init/3.

       crypto_one_time(Cipher, Key, Data, FlagOrOptions) ->
                          Result | descriptive_error()

              Types:

                 Cipher = cipher_no_iv()
                 Key = Data = iodata()
                 FlagOrOptions = crypto_opts() | boolean()
                 Result = binary()

              As crypto_one_time/5 but for ciphers without IVs.

       crypto_one_time(Cipher, Key, IV, Data, FlagOrOptions) ->
                          Result | descriptive_error()

              Types:

                 Cipher = cipher_iv()
                 Key = IV = Data = iodata()
                 FlagOrOptions = crypto_opts() | boolean()
                 Result = binary()

              Do a complete encrypt or decrypt of the full text in the argument Data.

              For encryption, set the FlagOrOptions to true. For decryption, set it to false. For
              setting other options, see crypto_init/4.

              See examples in the User's Guide.

       crypto_one_time_aead(Cipher, Key, IV, InText, AAD,
                            EncFlag :: true) ->
                               Result | descriptive_error()

       crypto_one_time_aead(Cipher, Key, IV, InText, AAD, TagOrTagLength,
                            EncFlag) ->
                               Result | descriptive_error()

              Types:

                 Cipher = cipher_aead()
                 Key = IV = InText = AAD = iodata()
                 TagOrTagLength = EncryptTagLength | DecryptTag
                 EncryptTagLength = integer() >= 0
                 DecryptTag = iodata()
                 EncFlag = boolean()
                 Result = EncryptResult | DecryptResult
                 EncryptResult = {OutCryptoText, OutTag}
                 DecryptResult = OutPlainText | error
                 OutCryptoText = OutTag = OutPlainText = binary()

              Do a complete encrypt or decrypt with an AEAD cipher of the full text.

              For encryption, set the EncryptFlag to true  and  set  the  TagOrTagLength  to  the
              wanted  size  (in bytes) of the tag, that is, the tag length. If the default length
              is wanted, the crypto_aead/6 form may be used.

              For decryption, set the EncryptFlag to false and put the tag to be checked  in  the
              argument TagOrTagLength.

              See examples in the User's Guide.

       supports(Type) -> Support

              Types:

                 Type = hashs | ciphers | public_keys | macs | curves | rsa_opts
                 Support = Hashs | Ciphers | PKs | Macs | Curves | RSAopts
                 Hashs =
                     [sha1() |
                      sha2() |
                      sha3() |
                      blake2() |
                      ripemd160 |
                      compatibility_only_hash()]
                 Ciphers = [cipher()]
                 PKs = [rsa | dss | ecdsa | dh | ecdh | eddh | ec_gf2m]
                 Macs = [hmac | cmac | poly1305]
                 Curves =
                     [ec_named_curve() | edwards_curve_dh() | edwards_curve_ed()]
                 RSAopts = [rsa_sign_verify_opt() | rsa_opt()]

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

              See hash_info/1 and  cipher_info/1  for  information  about  the  hash  and  cipher
              algorithms.

       mac(Type :: poly1305, Key, Data) -> Mac | descriptive_error()

              Types:

                 Key = Data = iodata()
                 Mac = binary()

              Short for mac(Type, undefined, Key, Data).

       mac(Type, SubType, Key, Data) -> Mac | descriptive_error()

              Types:

                 Type = hmac | cmac | poly1305
                 SubType =
                     hmac_hash_algorithm() | cmac_cipher_algorithm() | undefined
                 Key = Data = iodata()
                 Mac = binary()

              Computes a MAC (Message Authentication Code) of type Type from Data.

              SubType depends on the MAC Type:

                * For hmac it is a hash algorithm, see Algorithm Details in the User's Guide.

                * For  cmac it is a cipher suitable for cmac, see Algorithm Details in the User's
                  Guide.

                * For poly1305 it should be set to undefined or the mac/2 function could be  used
                  instead, see Algorithm Details in the User's Guide.

              Key  is the authentication key with a length according to the Type and SubType. The
              key length could be found with the hash_info/1 (hmac) for and cipher_info/1  (cmac)
              functions.  For  poly1305  the  key length is 32 bytes. Note that the cryptographic
              quality of the key is not checked.

              The Mac result will have a default length depending on the Type and SubType. To set
              a shorter length, use macN/4 or macN/5 instead. The default length is documented in
              Algorithm Details in the User's Guide.

       macN(Type :: poly1305, Key, Data, MacLength) ->
               Mac | descriptive_error()

              Types:

                 Key = Data = iodata()
                 Mac = binary()
                 MacLength = integer() >= 1

              Short for macN(Type, undefined, Key, Data, MacLength).

       macN(Type, SubType, Key, Data, MacLength) ->
               Mac | descriptive_error()

              Types:

                 Type = hmac | cmac | poly1305
                 SubType =
                     hmac_hash_algorithm() | cmac_cipher_algorithm() | undefined
                 Key = Data = iodata()
                 Mac = binary()
                 MacLength = integer() >= 1

              Computes a MAC (Message Authentication Code) as mac/3 and mac/4 but MacLength  will
              limit  the  size  of  the  resultant  Mac  to at most MacLength bytes. Note that if
              MacLength is greater than the actual number of bytes returned from  the  underlying
              hash, the returned hash will have that shorter length instead.

              The max MacLength is documented in Algorithm Details in the User's Guide.

       mac_init(Type :: poly1305, Key) -> State | descriptive_error()

              Types:

                 Key = iodata()
                 State = mac_state()

              Short for mac_init(Type, undefined, Key).

       mac_init(Type, SubType, Key) -> State | descriptive_error()

              Types:

                 Type = hmac | cmac | poly1305
                 SubType =
                     hmac_hash_algorithm() | cmac_cipher_algorithm() | undefined
                 Key = iodata()
                 State = mac_state()

              Initializes the context for streaming MAC operations.

              Type determines which mac algorithm to use in the MAC operation.

              SubType depends on the MAC Type:

                * For hmac it is a hash algorithm, see Algorithm Details in the User's Guide.

                * For  cmac it is a cipher suitable for cmac, see Algorithm Details in the User's
                  Guide.

                * For poly1305 it should be set to undefined or the mac/2 function could be  used
                  instead, see Algorithm Details in the User's Guide.

              Key  is the authentication key with a length according to the Type and SubType. The
              key length could be found with the hash_info/1 (hmac) for and cipher_info/1  (cmac)
              functions.  For  poly1305  the  key length is 32 bytes. Note that the cryptographic
              quality of the key is not checked.

              The returned State should be used in one or more subsequent calls to  mac_update/2.
              The MAC value is finally returned by calling mac_final/1 or mac_finalN/2.

              See  examples in the User's Guide.

       mac_update(State0, Data) -> State | descriptive_error()

              Types:

                 Data = iodata()
                 State0 = State = mac_state()

              Updates  the  MAC  represented by State0 using the given Data which could be of any
              length.

              The State0 is the State  value  originally  from  a  MAC  init  function,  that  is
              mac_init/2,  mac_init/3  or  a  previous  call of mac_update/2. The value State0 is
              returned unchanged by the function as State.

       mac_final(State) -> Mac | descriptive_error()

              Types:

                 State = mac_state()
                 Mac = binary()

              Finalizes the MAC operation referenced by State. The Mac result will have a default
              length depending on the Type and SubType in the mac_init/2,3 call. To set a shorter
              length, use mac_finalN/2 instead. The default length  is  documented  in  Algorithm
              Details in the User's Guide.

       mac_finalN(State, MacLength) -> Mac | descriptive_error()

              Types:

                 State = mac_state()
                 MacLength = integer() >= 1
                 Mac = binary()

              Finalizes the MAC operation referenced by State.

              Mac  will  be  a  binary  with  at  most MacLength bytes. Note that if MacLength is
              greater than the actual number of bytes returned  from  the  underlying  hash,  the
              returned hash will have that shorter length instead.

              The max MacLength is documented in Algorithm Details in the User's Guide.

       bytes_to_integer(Bin :: binary()) -> integer()

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

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

              Types:

                 Type = dh | ecdh | eddh | srp
                 SharedSecret = binary()
                 OthersPublicKey = dh_public() | ecdh_public() | srp_public()
                 MyPrivateKey =
                     dh_private() | ecdh_private() | {srp_public(), srp_private()}
                 Params = dh_params() | ecdh_params() | srp_comp_params()

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

       exor(Bin1 :: iodata(), Bin2 :: iodata()) -> 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 | eddh | eddsa | rsa | srp
                 PublicKey =
                     dh_public() | ecdh_public() | rsa_public() | srp_public()
                 PrivKeyIn =
                     undefined |
                     dh_private() |
                     ecdh_private() |
                     rsa_private() |
                     {srp_public(), srp_private()}
                 PrivKeyOut =
                     dh_private() |
                     ecdh_private() |
                     rsa_private() |
                     {srp_public(), srp_private()}
                 Params =
                     dh_params() |
                     ecdh_params() |
                     eddsa_params() |
                     rsa_params() |
                     srp_comp_params()

              Generates a public key of type Type. See also public_key:generate_key/1. May  raise
              exception:

                * error:badarg: an argument is of wrong type or has an illegal value,

                * error:low_entropy:   the   random  generator  failed  due  to  lack  of  secure
                  "randomness",

                * error:computation_failed:  the  computation  fails  of  another   reason   than
                  low_entropy.

          Note:
              RSA  key generation is only available if the runtime was built with dirty scheduler
              support. Otherwise,  attempting  to  generate  an  RSA  key  will  raise  exception
              error:notsup.

       hash(Type, Data) -> Digest

              Types:

                 Type = hash_algorithm()
                 Data = iodata()
                 Digest = binary()

              Computes a message digest of type Type from Data.

              May  raise  exception  error:notsup in case the chosen Type is not supported by the
              underlying libcrypto implementation.

       hash_init(Type) -> State

              Types:

                 Type = hash_algorithm()
                 State = hash_state()

              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  raise  exception  error:notsup in case the chosen Type is not supported by the
              underlying libcrypto implementation.

       hash_update(State, Data) -> NewState

              Types:

                 State = NewState = hash_state()
                 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(State) -> Digest

              Types:

                 State = hash_state()
                 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.

       info_fips() -> not_supported | not_enabled | enabled

              Provides information about the FIPS operating status of crypto and  the  underlying
              libcrypto library. If crypto was built with FIPS support this can be either enabled
              (when running in FIPS mode) or not_enabled. For other builds this value  is  always
              not_supported.

              See enable_fips_mode/1 about how to enable FIPS mode.

          Warning:
              In  FIPS  mode  all  non-FIPS compliant algorithms are disabled and raise exception
              error:notsup. Check supports(ciphers) that in FIPS mode returns the restricted list
              of available algorithms.

       enable_fips_mode(Enable) -> Result

              Types:

                 Enable = Result = boolean()

              Enables (Enable = true) or disables (Enable = false) FIPS mode. Returns true if the
              operation was successful or false otherwise.

              Note that to enable FIPS mode successfully, OTP must be built  with  the  configure
              option --enable-fips, and the underlying libcrypto must also support FIPS.

              See also info_fips/0.

       info() ->
               #{compile_type := normal | debug | valgrind | asan,
                 cryptolib_version_compiled => string() | undefined,
                 cryptolib_version_linked := string(),
                 link_type := dynamic | static,
                 otp_crypto_version := string()}

              Provides a map with information about the compilation and linking of crypto.

              Example:

              1> crypto:info().
              #{compile_type => normal,
                cryptolib_version_compiled => "OpenSSL 3.0.0 7 sep 2021",
                cryptolib_version_linked => "OpenSSL 3.0.0 7 sep 2021",
                link_type => dynamic,
                otp_crypto_version => "5.0.2"}
              2>

              More association types than documented may be present in the map.

       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">>,269484095,<<"OpenSSL 1.1.0c  10 Nov 2016"">>}]

          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
              libcrypto library used at runtime. In earlier OTP versions both  numeric  and  text
              was taken from the library.

       hash_info(Type) -> Result | run_time_error()

              Types:

                 Type = hash_algorithm()
                 Result =
                     #{size := integer(),
                       block_size := integer(),
                       type := integer()}

              Provides  a  map  with  information  about  block_size,  size  and  possibly  other
              properties of the hash algorithm in question.

              For a list of supported hash algorithms, see supports(hashs).

       cipher_info(Type) -> Result | run_time_error()

              Types:

                 Type = cipher()
                 Result =
                     #{key_length := integer(),
                       iv_length := integer(),
                       block_size := integer(),
                       mode := CipherModes,
                       type := undefined | integer(),
                       prop_aead := boolean()}
                 CipherModes =
                     undefined | cbc_mode | ccm_mode | cfb_mode | ctr_mode |
                     ecb_mode | gcm_mode | ige_mode | ocb_mode | ofb_mode |
                     wrap_mode | xts_mode

              Provides a map with  information  about  block_size,  key_length,  iv_length,  aead
              support and possibly other properties of the cipher algorithm in question.

          Note:
              The  ciphers  aes_cbc,  aes_cfb8, aes_cfb128, aes_ctr, aes_ecb, aes_gcm and aes_ccm
              has no keylength in the Type as opposed to for example aes_128_ctr. They  adapt  to
              the length of the key provided in the encrypt and decrypt function. Therefore it is
              impossible to return a valid keylength in the map.

              Always use a Type with an explicit key length,

              For a list of supported cipher algorithms, see supports(ciphers).

       mod_pow(N, P, M) -> Result

              Types:

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

              Computes the function N^P mod M.

       private_decrypt(Algorithm, CipherText, PrivateKey, Options) ->
                          PlainText

              Types:

                 Algorithm = pk_encrypt_decrypt_algs()
                 CipherText = binary()
                 PrivateKey = rsa_private() | engine_key_ref()
                 Options = pk_encrypt_decrypt_opts()
                 PlainText = binary()

              Decrypts the CipherText, 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(Algorithm, PlainText, PrivateKey, Options) ->
                          CipherText

              Types:

                 Algorithm = pk_encrypt_decrypt_algs()
                 PlainText = binary()
                 PrivateKey = rsa_private() | engine_key_ref()
                 Options = pk_encrypt_decrypt_opts()
                 CipherText = 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(Algorithm, CipherText, PublicKey, Options) ->
                         PlainText

              Types:

                 Algorithm = pk_encrypt_decrypt_algs()
                 CipherText = binary()
                 PublicKey = rsa_public() | engine_key_ref()
                 Options = pk_encrypt_decrypt_opts()
                 PlainText = binary()

              Decrypts  the  CipherText, 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(Algorithm, PlainText, PublicKey, Options) ->
                         CipherText

              Types:

                 Algorithm = pk_encrypt_decrypt_algs()
                 PlainText = binary()
                 PublicKey = rsa_public() | engine_key_ref()
                 Options = pk_encrypt_decrypt_opts()
                 CipherText = 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_seed(Seed :: binary()) -> ok

              Set the seed for PRNG to the given binary. This calls the RAND_seed  function  from
              openssl.  Only  use  this  if  the  system  you are running on does not have enough
              "randomness"  built  in.  Normally  this   is   when   strong_rand_bytes/1   raises
              error:low_entropy

       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.

       start() -> ok | {error, Reason :: term()}

              Equivalent to application:start(crypto).

       stop() -> ok | {error, Reason :: term()}

              Equivalent to application:stop(crypto).

       strong_rand_bytes(N :: integer() >= 0) -> binary()

              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 raise exception error:low_entropy in case the random generator  failed  due  to
              lack of secure "randomness".

       rand_seed() -> rand:state()

              Creates   state   object  for  random  number  generation,  in  order  to  generate
              cryptographically strong random numbers (based  on  OpenSSL's  BN_rand_range),  and
              saves  it  in  the  process  dictionary  before  returning  it  as  well.  See also
              rand:seed/1 and rand_seed_s/0.

              When using the state object from this function the  rand  functions  using  it  may
              raise  exception  error:low_entropy in case the random generator failed due to lack
              of secure "randomness".

              Example

              _ = crypto:rand_seed(),
              _IntegerValue = rand:uniform(42), % [1; 42]
              _FloatValue = rand:uniform().     % [0.0; 1.0[

       rand_seed_s() -> rand:state()

              Creates  state  object  for  random  number  generation,  in  order   to   generate
              cryptographically  strongly  random numbers (based on OpenSSL's BN_rand_range). See
              also rand:seed_s/1.

              When using the state object from this function the  rand  functions  using  it  may
              raise  exception  error:low_entropy in case the random generator failed due to lack
              of secure "randomness".

          Note:
              The state returned from this function cannot be used to get a  reproducible  random
              sequence  as  from  the  other rand functions, since reproducibility does not match
              cryptographically safe.

              The only supported usage is to generate one  distinct  random  sequence  from  this
              start state.

       rand_seed_alg(Alg) -> rand:state()

              Types:

                 Alg = crypto | crypto_cache

              Creates   state   object  for  random  number  generation,  in  order  to  generate
              cryptographically strong random numbers, and saves it  in  the  process  dictionary
              before returning it as well. See also rand:seed/1 and rand_seed_alg_s/1.

              When  using  the  state  object  from this function the rand functions using it may
              raise exception error:low_entropy in case the random generator failed due  to  lack
              of secure "randomness".

              Example

              _ = crypto:rand_seed_alg(crypto_cache),
              _IntegerValue = rand:uniform(42), % [1; 42]
              _FloatValue = rand:uniform().     % [0.0; 1.0[

       rand_seed_alg(Alg, Seed) -> rand:state()

              Types:

                 Alg = crypto_aes

              Creates  a  state  object  for  random  number  generation,  in  order  to generate
              cryptographically unpredictable  random  numbers,  and  saves  it  in  the  process
              dictionary before returning it as well. See also rand_seed_alg_s/2.

              Example

              _ = crypto:rand_seed_alg(crypto_aes, "my seed"),
              IntegerValue = rand:uniform(42), % [1; 42]
              FloatValue = rand:uniform(),     % [0.0; 1.0[
              _ = crypto:rand_seed_alg(crypto_aes, "my seed"),
              IntegerValue = rand:uniform(42), % Same values
              FloatValue = rand:uniform().     % again

       rand_seed_alg_s(Alg) -> rand:state()

              Types:

                 Alg = crypto | crypto_cache

              Creates   state   object  for  random  number  generation,  in  order  to  generate
              cryptographically strongly random numbers. See also rand:seed_s/1.

              If Alg is crypto this function behaves exactly like rand_seed_s/0.

              If Alg is crypto_cache this function fetches random data with OpenSSL's  RAND_bytes
              and  caches  it  for  speed  using  an  internal  word  size  of 56 bits that makes
              calculations fast on 64 bit machines.

              When using the state object from this function the  rand  functions  using  it  may
              raise  exception  error:low_entropy in case the random generator failed due to lack
              of secure "randomness".

              The cache size can be changed from  its  default  value  using  the   crypto  app's
              configuration parameter rand_cache_size.

              When  using  the  state  object  from this function the rand functions using it may
              throw exception low_entropy in case the random generator  failed  due  to  lack  of
              secure "randomness".

          Note:
              The  state  returned from this function cannot be used to get a reproducible random
              sequence as from the other rand functions, since  reproducibility  does  not  match
              cryptographically safe.

              In fact since random data is cached some numbers may get reproduced if you try, but
              this is unpredictable.

              The only supported usage is to generate one  distinct  random  sequence  from  this
              start state.

       rand_seed_alg_s(Alg, Seed) -> rand:state()

              Types:

                 Alg = crypto_aes

              Creates  a  state  object  for  random  number  generation,  in  order  to generate
              cryptographically unpredictable random numbers. See also rand_seed_alg/1.

              To get a long period the Xoroshiro928 generator from the rand module is used  as  a
              counter  (with period 2^928 - 1) and the generator states are scrambled through AES
              to create 58-bit pseudo random values.

              The result should be statistically completely unpredictable  random  values,  since
              the scrambling is cryptographically strong and the period is ridiculously long. But
              the generated numbers are not to be  regarded  as  cryptographically  strong  since
              there is no re-keying schedule.

                * If  you need cryptographically strong random numbers use rand_seed_alg_s/1 with
                  Alg =:= crypto or Alg =:= crypto_cache.

                * If you need to be able to repeat the sequence use this function.

                * If you do not need the statistical quality of this function, there  are  faster
                  algorithms in the rand module.

              Thanks  to  the used generator the state object supports the rand:jump/0,1 function
              with distance 2^512.

              Numbers are generated in batches and cached for speed reasons. The cache  size  can
              be  changed from its default value using the  crypto app's  configuration parameter
              rand_cache_size.

       ec_curves() -> [EllipticCurve]

              Types:

                 EllipticCurve =
                     ec_named_curve() | edwards_curve_dh() | edwards_curve_ed()

              Can be used to determine which named elliptic curves are supported.

       ec_curve(CurveName) -> ExplicitCurve

              Types:

                 CurveName = ec_named_curve()
                 ExplicitCurve = ec_explicit_curve()

              Return the defining parameters of a elliptic curve.

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

       sign(Algorithm, DigestType, Msg, Key, Options) -> Signature

              Types:

                 Algorithm = pk_sign_verify_algs()
                 DigestType =
                     rsa_digest_type() |
                     dss_digest_type() |
                     ecdsa_digest_type() |
                     none
                 Msg = iodata() | {digest, iodata()}
                 Key =
                     rsa_private() |
                     dss_private() |
                     [ecdsa_private() | ecdsa_params()] |
                     [eddsa_private() | eddsa_params()] |
                     engine_key_ref()
                 Options = pk_sign_verify_opts()
                 Signature = binary()

              Creates a digital signature.

              The msg is either the binary "cleartext" data to be signed  or  it  is  the  hashed
              value of "cleartext" i.e. the digest (plaintext).

              Algorithm dss can only be used together with digest type sha.

              See also public_key:sign/3.

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

       verify(Algorithm, DigestType, Msg, Signature, Key, Options) ->
                 Result

              Types:

                 Algorithm = pk_sign_verify_algs()
                 DigestType =
                     rsa_digest_type() |
                     dss_digest_type() |
                     ecdsa_digest_type() |
                     none
                 Msg = iodata() | {digest, iodata()}
                 Signature = binary()
                 Key =
                     rsa_public() |
                     dss_public() |
                     [ecdsa_public() | ecdsa_params()] |
                     [eddsa_public() | eddsa_params()] |
                     engine_key_ref()
                 Options = pk_sign_verify_opts()
                 Result = boolean()

              Verifies a digital signature

              The  msg  is  either  the  binary "cleartext" data to be signed or it is the hashed
              value of "cleartext" i.e. the digest (plaintext).

              Algorithm dss can only be used together with digest type sha.

              See also public_key:verify/4.

ENGINE API

EXPORTS

       privkey_to_pubkey(Type, EnginePrivateKeyRef) -> PublicKey

              Types:

                 Type = rsa | dss
                 EnginePrivateKeyRef = engine_key_ref()
                 PublicKey = rsa_public() | dss_public()

              Fetches the corresponding public key from a private key stored in  an  Engine.  The
              key must be of the type indicated by the Type parameter.

       engine_get_all_methods() -> Result

              Types:

                 Result = [engine_method_type()]

              Returns a list of all possible engine methods.

              May  raise  exception  error:notsup  in  case  there  is  no  engine support in the
              underlying OpenSSL implementation.

              See also the chapter Engine Load in the User's Guide.

       engine_load(EngineId, PreCmds, PostCmds) -> Result

              Types:

                 EngineId = unicode:chardata()
                 PreCmds = PostCmds = [engine_cmnd()]
                 Result =
                     {ok, Engine :: engine_ref()} | {error, Reason :: term()}

              Loads the OpenSSL engine given by EngineId if it is available and then  returns  ok
              and  an  engine  handle.  This  function  is the same as calling engine_load/4 with
              EngineMethods set to a list of all the possible methods. An error tuple is returned
              if the engine can't be loaded.

              The  function  raises  a error:badarg if the parameters are in wrong format. It may
              also raise the exception error:notsup in case there is no  engine  support  in  the
              underlying OpenSSL implementation.

              See also the chapter Engine Load in the User's Guide.

       engine_load(EngineId, PreCmds, PostCmds, EngineMethods) -> Result

              Types:

                 EngineId = unicode:chardata()
                 PreCmds = PostCmds = [engine_cmnd()]
                 EngineMethods = [engine_method_type()]
                 Result =
                     {ok, Engine :: engine_ref()} | {error, Reason :: term()}

              Loads  the  OpenSSL engine given by EngineId if it is available and then returns ok
              and an engine handle. An error tuple is returned if the engine can't be loaded.

              The function raises a error:badarg if the parameters are in wrong  format.  It  may
              also  raise  the  exception  error:notsup in case there is no engine support in the
              underlying OpenSSL implementation.

              See also the chapter Engine Load in the User's Guide.

       engine_unload(Engine) -> Result

              Types:

                 Engine = engine_ref()
                 Result = ok | {error, Reason :: term()}

              Unloads the OpenSSL engine given by Engine. An  error  tuple  is  returned  if  the
              engine can't be unloaded.

              The function raises a error:badarg if the parameter is in wrong format. It may also
              raise the exception error:notsup  in  case  there  is  no  engine  support  in  the
              underlying OpenSSL implementation.

              See also the chapter Engine Load in the User's Guide.

       engine_by_id(EngineId) -> Result

              Types:

                 EngineId = unicode:chardata()
                 Result =
                     {ok, Engine :: engine_ref()} | {error, Reason :: term()}

              Get  a  reference  to  an  already  loaded  engine with EngineId. An error tuple is
              returned if the engine can't be unloaded.

              The function raises a error:badarg if the parameter is in wrong format. It may also
              raise  the  exception  error:notsup  in  case  there  is  no  engine support in the
              underlying OpenSSL implementation.

              See also the chapter Engine Load in the User's Guide.

       engine_ctrl_cmd_string(Engine, CmdName, CmdArg) -> Result

              Types:

                 Engine = term()
                 CmdName = CmdArg = unicode:chardata()
                 Result = ok | {error, Reason :: term()}

              Sends ctrl commands to the OpenSSL engine given by Engine.  This  function  is  the
              same as calling engine_ctrl_cmd_string/4 with Optional set to false.

              The  function  raises  a error:badarg if the parameters are in wrong format. It may
              also raise the exception error:notsup in case there is no  engine  support  in  the
              underlying OpenSSL implementation.

       engine_ctrl_cmd_string(Engine, CmdName, CmdArg, Optional) ->
                                 Result

              Types:

                 Engine = term()
                 CmdName = CmdArg = unicode:chardata()
                 Optional = boolean()
                 Result = ok | {error, Reason :: term()}

              Sends  ctrl  commands  to the OpenSSL engine given by Engine. Optional is a boolean
              argument that can relax the semantics of the function. If set to true it will  only
              return  failure  if  the  ENGINE  supported the given command name but failed while
              executing it, if the ENGINE doesn't support the command name it will simply  return
              success  without  doing anything. In this case we assume the user is only supplying
              commands specific to the given ENGINE so we set this to false.

              The function raises a error:badarg if the parameters are in wrong  format.  It  may
              also  raise  the  exception  error:notsup in case there is no engine support in the
              underlying OpenSSL implementation.

       engine_add(Engine) -> Result

              Types:

                 Engine = engine_ref()
                 Result = ok | {error, Reason :: term()}

              Add the engine to OpenSSL's internal list.

              The function raises a error:badarg if the parameters are in wrong  format.  It  may
              also  raise  the  exception  error:notsup in case there is no engine support in the
              underlying OpenSSL implementation.

       engine_remove(Engine) -> Result

              Types:

                 Engine = engine_ref()
                 Result = ok | {error, Reason :: term()}

              Remove the engine from OpenSSL's internal list.

              The function raises a error:badarg if the parameters are in wrong  format.  It  may
              also  raise  the  exception  error:notsup in case there is no engine support in the
              underlying OpenSSL implementation.

       engine_get_id(Engine) -> EngineId

              Types:

                 Engine = engine_ref()
                 EngineId = unicode:chardata()

              Return the ID for the engine, or an empty binary if there is no id set.

              The function raises a error:badarg if the parameters are in wrong  format.  It  may
              also  raise  the  exception  error:notsup in case there is no engine support in the
              underlying OpenSSL implementation.

       engine_get_name(Engine) -> EngineName

              Types:

                 Engine = engine_ref()
                 EngineName = unicode:chardata()

              Return the name (eg a description) for the engine, or an empty binary if  there  is
              no name set.

              The  function  raises  a error:badarg if the parameters are in wrong format. It may
              also raise the exception error:notsup in case there is no  engine  support  in  the
              underlying OpenSSL implementation.

       engine_list() -> Result

              Types:

                 Result = [EngineId :: unicode:chardata()]

              List the id's of all engines in OpenSSL's internal list.

              It  may also raise the exception error:notsup in case there is no engine support in
              the underlying OpenSSL implementation.

              See also the chapter Engine Load in the User's Guide.

              May raise exception error:notsup in case engine functionality is not  supported  by
              the underlying OpenSSL implementation.

       ensure_engine_loaded(EngineId, LibPath) -> Result

       ensure_engine_loaded(EngineId, LibPath, EngineMethods) -> Result

              Types:

                 EngineId = LibPath = unicode:chardata()
                 EngineMethods = [engine_method_type()]
                 Result =
                     {ok, Engine :: engine_ref()} | {error, Reason :: term()}

              Loads  an engine given by EngineId and the path to the dynamic library implementing
              the engine. If the function with arity three is used, one can specify which  engine
              methods it should handle. An error tuple is returned if the engine can't be loaded.

              This function differs from the normal engine_load in the sense that it also add the
              engine id to OpenSSL's internal engine list. The  reference  from  the  first  call
              holds  a  functional  reference  to  the engine. Then in the following calls to the
              function just fetch a structural reference by looking up the EngineId in  OpenSSL's
              internal engine list. Therefor there is a difference when unloading the references,
              see ensure_engine_unloaded.

              The function raises a error:badarg if the parameters are in wrong  format.  It  may
              also  raise  the  exception  error:notsup in case there is no engine support in the
              underlying OpenSSL implementation.

              See also the chapter Engine Load in the User's Guide.

       ensure_engine_unloaded(Engine) -> Result

       ensure_engine_unloaded(Engine, EngineMethods) -> Result

              Types:

                 Engine = engine_ref()
                 EngineMethods = [engine_method_type()]
                 Result = ok | {error, Reason :: term()}

              Unloads an engine loaded with the ensure_engine_loaded functions. The variant  with
              arity  two  is  used when the engine was loaded with ensure_engine_loaded/3 and the
              second parameter is the method list (same as when loaded).

              Exactly what happens differ a bit on the reference, if it's the first reference got
              by  ensure_engine_loaded  it  both removes the label from OpenSSL's internal engine
              list and unloads the engine. If it's not the reference from the first call it  just
              removes that refence.

              The  function  raises  a error:badarg if the parameters are in wrong format. It may
              also raise the exception error:notsup in case there is no  engine  support  in  the
              underlying OpenSSL implementation.

              See also the chapter Engine Load in the User's Guide.

       pbkdf2_hmac(Digest, Pass, Salt, Iter, KeyLen) -> Result

              Types:

                 Digest = sha | sha224 | sha256 | sha384 | sha512
                 Pass = Salt = binary()
                 Iter = KeyLen = integer() >= 1
                 Result = binary()

              PKCS #5 PBKDF2 (Password-Based Key Derivation Function 2) in combination with HMAC.

              The function raises a error:badarg if the parameters are in wrong format.