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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.

       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_ofb | aes_192_ofb | aes_256_ofb | 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.

EXCEPTIONS

   Atoms - the older style
       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).

   3-tuples - the new style
       The exception is:

       error:{Tag, C_FileInfo, Description}

       Tag = badarg | notsup | error
       C_FileInfo = term()    % Usually only useful for the OTP maintainer
       Description = string() % Clear text, sometimes only useful for the OTP maintainer

       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.

       Usually  there  are more information in the call stack about which argument caused the exception and what
       the values where.

       To catch the exception, use for example:

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

EXPORTS

       crypto_init(Cipher, Key, FlagOrOptions) -> State

              Types:

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

              Uses the 3-tuple style for error handling.

              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

              Types:

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

              Uses the 3-tuple style for error handling.

              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

              Types:

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

              Uses the 3-tuple style for error handling.

              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

              Types:

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

              Uses the 3-tuple style for error handling.

              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

              Types:

                 State = crypto_state()
                 FinalResult = binary()

              Uses the 3-tuple style for error handling.

              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()

              Uses the 3-tuple style for error handling.

              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

              Types:

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

              Uses the 3-tuple style for error handling.

              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

              Types:

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

              Uses the 3-tuple style for error handling.

              As crypto_one_time/5 but for ciphers without IVs.

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

              Types:

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

              Uses the 3-tuple style for error handling.

              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

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

              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()

              Uses the 3-tuple style for error handling.

              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

              Types:

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

              Uses the 3-tuple style for error handling.

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

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

              Types:

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

              Uses the 3-tuple style for error handling.

              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

              Types:

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

              Uses the 3-tuple style for error handling.

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

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

              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

              Types:

                 Key = iodata()
                 State = mac_state()

              Uses the 3-tuple style for error handling.

              Short for mac_init(Type, undefined, Key).

       mac_init(Type, SubType, Key) -> State

              Types:

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

              Uses the 3-tuple style for error handling.

              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

              Types:

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

              Uses the 3-tuple style for error handling.

              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

              Types:

                 State = mac_state()
                 Mac = binary()

              Uses the 3-tuple style for error handling.

              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

              Types:

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

              Uses the 3-tuple style for error handling.

              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()

              Uses the 3-tuple style for error handling.

              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()

              Uses the 3-tuple style for error handling.

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

          Note:
              If the linked version of cryptolib is OpenSSL 3.0

                * and the Type is dh (diffie-hellman)

                * and the parameter P (in dh_params()) is one of the MODP groups (see RFC 3526)

                * and the optional PrivateKeyBitLength parameter (in dh_params()) is present,

              then the optional key length parameter must be at least 224, 256, 302, 352 and 400 for group sizes
              of 2048, 3072, 4096, 6144 and 8192, respectively.

          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 the exception error:notsup.

       hash(Type, Data) -> Digest

              Types:

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

              Uses the 3-tuple style for error handling.

              Computes a message digest of type Type from Data.

       hash_init(Type) -> State

              Types:

                 Type = hash_algorithm()
                 State = hash_state()

              Uses the 3-tuple style for error handling.

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

       hash_update(State, Data) -> NewState

              Types:

                 State = NewState = hash_state()
                 Data = iodata()

              Uses the 3-tuple style for error handling.

              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()

              Uses the 3-tuple style for error handling.

              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

              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

              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()

              Uses the 3-tuple style for error handling.

              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()

              Uses the 3-tuple style for error handling.

              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()

              Uses the 3-tuple style for error handling.

              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()

              Uses the 3-tuple style for error handling.

              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()

              Uses the 3-tuple style for error handling.

              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()

              Uses the 3-tuple style for error handling.

              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 intialize it. Returns ok and  an
              engine handle, if the engine can't be loaded an error tuple is returned.

              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_register(Engine, EngineMethods) -> Result

              Types:

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

              Register engine to handle some type of methods, for example engine_method_digests.

              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_unregister(Engine, EngineMethods) -> Result

              Types:

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

              Unregister engine so it don't handle some type of methods.

              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

              Types:

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

              Loads an engine given by EngineId and the path to the dynamic library implementing the engine.  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 difference between the first call and the  following  is  that
              the  first  loads  the  engine with the dynamical engine and the following calls fetch it from the
              OpenSSL's engine list. All references that is returned are equal.

              Use engine_unload/1 function to remove the references.  But  remember  that  engine_unload/1  just
              removes the references to the engine and not the tag in OpenSSL's engine list. That has to be done
              with the engine_remove/1 function when needed (just called once, from any of  the  references  you
              got).

              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.

       hash_equals(BinA, BinB) -> Result

              Types:

                 BinA = BinB = binary()
                 Result = boolean()

              Constant time memory comparison for fixed length binaries, such as results of HMAC computations.

              Returns  true  if  the  binaries  are  identical,  false  if  they  are of the same length but not
              identical. The function raises an error:badarg exception if the binaries are of different size.

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

              Types:

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

              Uses the 3-tuple style for error handling.

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