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openpilot is an open source driver assistance system. openpilot performs the functions of Automated Lane Centering and Adaptive Cruise Control for over 200 supported car makes and models.
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openpilot_comma/phonelibs/android_hardware_libhardware/include/hardware/keymaster_defs.h

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/*
* Copyright (C) 2014 The Android Open Source Project
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#ifndef ANDROID_HARDWARE_KEYMASTER_DEFS_H
#define ANDROID_HARDWARE_KEYMASTER_DEFS_H
#include <stdint.h>
#include <stdlib.h>
#include <string.h>
#ifdef __cplusplus
extern "C" {
#endif // __cplusplus
/**
* Authorization tags each have an associated type. This enumeration facilitates tagging each with
* a type, by using the high four bits (of an implied 32-bit unsigned enum value) to specify up to
* 16 data types. These values are ORed with tag IDs to generate the final tag ID values.
*/
typedef enum {
KM_INVALID = 0 << 28, /* Invalid type, used to designate a tag as uninitialized */
KM_ENUM = 1 << 28,
KM_ENUM_REP = 2 << 28, /* Repeatable enumeration value. */
KM_UINT = 3 << 28,
KM_UINT_REP = 4 << 28, /* Repeatable integer value */
KM_ULONG = 5 << 28,
KM_DATE = 6 << 28,
KM_BOOL = 7 << 28,
KM_BIGNUM = 8 << 28,
KM_BYTES = 9 << 28,
KM_ULONG_REP = 10 << 28, /* Repeatable long value */
} keymaster_tag_type_t;
typedef enum {
KM_TAG_INVALID = KM_INVALID | 0,
/*
* Tags that must be semantically enforced by hardware and software implementations.
*/
/* Crypto parameters */
KM_TAG_PURPOSE = KM_ENUM_REP | 1, /* keymaster_purpose_t. */
KM_TAG_ALGORITHM = KM_ENUM | 2, /* keymaster_algorithm_t. */
KM_TAG_KEY_SIZE = KM_UINT | 3, /* Key size in bits. */
KM_TAG_BLOCK_MODE = KM_ENUM_REP | 4, /* keymaster_block_mode_t. */
KM_TAG_DIGEST = KM_ENUM_REP | 5, /* keymaster_digest_t. */
KM_TAG_PADDING = KM_ENUM_REP | 6, /* keymaster_padding_t. */
KM_TAG_CALLER_NONCE = KM_BOOL | 7, /* Allow caller to specify nonce or IV. */
KM_TAG_MIN_MAC_LENGTH = KM_UINT | 8, /* Minimum length of MAC or AEAD authentication tag in
* bits. */
/* Algorithm-specific. */
KM_TAG_RSA_PUBLIC_EXPONENT = KM_ULONG | 200,
/* Other hardware-enforced. */
KM_TAG_BLOB_USAGE_REQUIREMENTS = KM_ENUM | 301, /* keymaster_key_blob_usage_requirements_t */
KM_TAG_BOOTLOADER_ONLY = KM_BOOL | 302, /* Usable only by bootloader */
/*
* Tags that should be semantically enforced by hardware if possible and will otherwise be
* enforced by software (keystore).
*/
/* Key validity period */
KM_TAG_ACTIVE_DATETIME = KM_DATE | 400, /* Start of validity */
KM_TAG_ORIGINATION_EXPIRE_DATETIME = KM_DATE | 401, /* Date when new "messages" should no
longer be created. */
KM_TAG_USAGE_EXPIRE_DATETIME = KM_DATE | 402, /* Date when existing "messages" should no
longer be trusted. */
KM_TAG_MIN_SECONDS_BETWEEN_OPS = KM_UINT | 403, /* Minimum elapsed time between
cryptographic operations with the key. */
KM_TAG_MAX_USES_PER_BOOT = KM_UINT | 404, /* Number of times the key can be used per
boot. */
/* User authentication */
KM_TAG_ALL_USERS = KM_BOOL | 500, /* Reserved for future use -- ignore */
KM_TAG_USER_ID = KM_UINT | 501, /* Reserved for future use -- ignore */
KM_TAG_USER_SECURE_ID = KM_ULONG_REP | 502, /* Secure ID of authorized user or authenticator(s).
Disallowed if KM_TAG_ALL_USERS or
KM_TAG_NO_AUTH_REQUIRED is present. */
KM_TAG_NO_AUTH_REQUIRED = KM_BOOL | 503, /* If key is usable without authentication. */
KM_TAG_USER_AUTH_TYPE = KM_ENUM | 504, /* Bitmask of authenticator types allowed when
* KM_TAG_USER_SECURE_ID contains a secure user ID,
* rather than a secure authenticator ID. Defined in
* hw_authenticator_type_t in hw_auth_token.h. */
KM_TAG_AUTH_TIMEOUT = KM_UINT | 505, /* Required freshness of user authentication for
private/secret key operations, in seconds.
Public key operations require no authentication.
If absent, authentication is required for every
use. Authentication state is lost when the
device is powered off. */
/* Application access control */
KM_TAG_ALL_APPLICATIONS = KM_BOOL | 600, /* Reserved for future use -- ignore */
KM_TAG_APPLICATION_ID = KM_BYTES | 601, /* Reserved for fugure use -- ignore */
/*
* Semantically unenforceable tags, either because they have no specific meaning or because
* they're informational only.
*/
KM_TAG_APPLICATION_DATA = KM_BYTES | 700, /* Data provided by authorized application. */
KM_TAG_CREATION_DATETIME = KM_DATE | 701, /* Key creation time */
KM_TAG_ORIGIN = KM_ENUM | 702, /* keymaster_key_origin_t. */
KM_TAG_ROLLBACK_RESISTANT = KM_BOOL | 703, /* Whether key is rollback-resistant. */
KM_TAG_ROOT_OF_TRUST = KM_BYTES | 704, /* Root of trust ID. */
/* Tags used only to provide data to or receive data from operations */
KM_TAG_ASSOCIATED_DATA = KM_BYTES | 1000, /* Used to provide associated data for AEAD modes. */
KM_TAG_NONCE = KM_BYTES | 1001, /* Nonce or Initialization Vector */
KM_TAG_AUTH_TOKEN = KM_BYTES | 1002, /* Authentication token that proves secure user
authentication has been performed. Structure
defined in hw_auth_token_t in hw_auth_token.h. */
KM_TAG_MAC_LENGTH = KM_UINT | 1003, /* MAC or AEAD authentication tag length in bits. */
/* Tags used only for SOTER */
/* Tags used only to check if the key is for SOTER */
KM_TAG_SOTER_IS_FROM_SOTER = KM_BOOL | 11000,
/* Attach signature signed with ATTK[pri] while exporting public key */
KM_TAG_SOTER_IS_AUTO_SIGNED_WITH_ATTK_WHEN_GET_PUBLIC_KEY = KM_BOOL | 11001,
/* Attach signature signed with specified private key while exporting public key */
KM_TAG_SOTER_IS_AUTO_SIGNED_WITH_COMMON_KEY_WHEN_GET_PUBLIC_KEY = KM_BOOL | 11002,
/* keyalias for the keypair of KM_TAG_SOTER_IS_AUTO_SIGNED_WITH_COMMON_KEY_WHEN_GET_PUBLIC_KEY */
KM_TAG_SOTER_AUTO_SIGNED_COMMON_KEY_WHEN_GET_PUBLIC_KEY = KM_BYTES | 11003,
/* Attach counter while exporting publick key */
KM_TAG_SOTER_AUTO_ADD_COUNTER_WHEN_GET_PUBLIC_KEY = KM_BOOL | 11004,
/* Attach secmsg(TEE_Name, TEE_Version, Fingerprint_Sensor_Name, Fingerprint_Sensor_Version)
fingerprint_id and counter while signing */
KM_TAG_SOTER_IS_SECMSG_FID_COUNTER_SIGNED_WHEN_SIGN = KM_BOOL | 11005,
/* use and set ATTK index to next backup ATTK */
KM_TAG_SOTER_USE_NEXT_ATTK = KM_BOOL | 11006,
/* attach soter uid */
KM_TAG_SOTER_UID = KM_UINT | 11007,
/* attach key blob of KM_TAG_SOTER_AUTO_SIGNED_COMMON_KEY_WHEN_GET_PUBLIC_KEY if needed */
KM_TAG_SOTER_AUTO_SIGNED_COMMON_KEY_WHEN_GET_PUBLIC_KEY_BLOB = KM_BYTES | 11008,
} keymaster_tag_t;
/**
* Algorithms that may be provided by keymaster implementations. Those that must be provided by all
* implementations are tagged as "required".
*/
typedef enum {
/* Asymmetric algorithms. */
KM_ALGORITHM_RSA = 1,
// KM_ALGORITHM_DSA = 2, -- Removed, do not re-use value 2.
KM_ALGORITHM_EC = 3,
/* Block ciphers algorithms */
KM_ALGORITHM_AES = 32,
/* MAC algorithms */
KM_ALGORITHM_HMAC = 128,
} keymaster_algorithm_t;
/**
* Symmetric block cipher modes provided by keymaster implementations.
*/
typedef enum {
/* Unauthenticated modes, usable only for encryption/decryption and not generally recommended
* except for compatibility with existing other protocols. */
KM_MODE_ECB = 1,
KM_MODE_CBC = 2,
KM_MODE_CTR = 3,
/* Authenticated modes, usable for encryption/decryption and signing/verification. Recommended
* over unauthenticated modes for all purposes. */
KM_MODE_GCM = 32,
} keymaster_block_mode_t;
/**
* Padding modes that may be applied to plaintext for encryption operations. This list includes
* padding modes for both symmetric and asymmetric algorithms. Note that implementations should not
* provide all possible combinations of algorithm and padding, only the
* cryptographically-appropriate pairs.
*/
typedef enum {
KM_PAD_NONE = 1, /* deprecated */
KM_PAD_RSA_OAEP = 2,
KM_PAD_RSA_PSS = 3,
KM_PAD_RSA_PKCS1_1_5_ENCRYPT = 4,
KM_PAD_RSA_PKCS1_1_5_SIGN = 5,
KM_PAD_PKCS7 = 64,
} keymaster_padding_t;
/**
* Digests provided by keymaster implementations.
*/
typedef enum {
KM_DIGEST_NONE = 0,
KM_DIGEST_MD5 = 1, /* Optional, may not be implemented in hardware, will be handled in software
* if needed. */
KM_DIGEST_SHA1 = 2,
KM_DIGEST_SHA_2_224 = 3,
KM_DIGEST_SHA_2_256 = 4,
KM_DIGEST_SHA_2_384 = 5,
KM_DIGEST_SHA_2_512 = 6,
} keymaster_digest_t;
/**
* The origin of a key (or pair), i.e. where it was generated. Note that KM_TAG_ORIGIN can be found
* in either the hardware-enforced or software-enforced list for a key, indicating whether the key
* is hardware or software-based. Specifically, a key with KM_ORIGIN_GENERATED in the
* hardware-enforced list is guaranteed never to have existed outide the secure hardware.
*/
typedef enum {
KM_ORIGIN_GENERATED = 0, /* Generated in keymaster */
KM_ORIGIN_IMPORTED = 2, /* Imported, origin unknown */
KM_ORIGIN_UNKNOWN = 3, /* Keymaster did not record origin. This value can only be seen on
* keys in a keymaster0 implementation. The keymaster0 adapter uses
* this value to document the fact that it is unkown whether the key
* was generated inside or imported into keymaster. */
} keymaster_key_origin_t;
/**
* Usability requirements of key blobs. This defines what system functionality must be available
* for the key to function. For example, key "blobs" which are actually handles referencing
* encrypted key material stored in the file system cannot be used until the file system is
* available, and should have BLOB_REQUIRES_FILE_SYSTEM. Other requirements entries will be added
* as needed for implementations. This type is new in 0_4.
*/
typedef enum {
KM_BLOB_STANDALONE = 0,
KM_BLOB_REQUIRES_FILE_SYSTEM = 1,
} keymaster_key_blob_usage_requirements_t;
/**
* Possible purposes of a key (or pair). This type is new in 0_4.
*/
typedef enum {
KM_PURPOSE_ENCRYPT = 0,
KM_PURPOSE_DECRYPT = 1,
KM_PURPOSE_SIGN = 2,
KM_PURPOSE_VERIFY = 3,
} keymaster_purpose_t;
typedef struct {
const uint8_t* data;
size_t data_length;
} keymaster_blob_t;
typedef struct {
keymaster_tag_t tag;
union {
uint32_t enumerated; /* KM_ENUM and KM_ENUM_REP */
bool boolean; /* KM_BOOL */
uint32_t integer; /* KM_INT and KM_INT_REP */
uint64_t long_integer; /* KM_LONG */
uint64_t date_time; /* KM_DATE */
keymaster_blob_t blob; /* KM_BIGNUM and KM_BYTES*/
};
} keymaster_key_param_t;
typedef struct {
keymaster_key_param_t* params; /* may be NULL if length == 0 */
size_t length;
} keymaster_key_param_set_t;
/**
* Parameters that define a key's characteristics, including authorized modes of usage and access
* control restrictions. The parameters are divided into two categories, those that are enforced by
* secure hardware, and those that are not. For a software-only keymaster implementation the
* enforced array must NULL. Hardware implementations must enforce everything in the enforced
* array.
*/
typedef struct {
keymaster_key_param_set_t hw_enforced;
keymaster_key_param_set_t sw_enforced;
} keymaster_key_characteristics_t;
typedef struct {
const uint8_t* key_material;
size_t key_material_size;
} keymaster_key_blob_t;
/**
* Formats for key import and export. At present, only asymmetric key import/export is supported.
* In the future this list will expand greatly to accommodate asymmetric key import/export.
*/
typedef enum {
KM_KEY_FORMAT_X509 = 0, /* for public key export */
KM_KEY_FORMAT_PKCS8 = 1, /* for asymmetric key pair import */
KM_KEY_FORMAT_RAW = 3, /* for symmetric key import */
} keymaster_key_format_t;
/**
* The keymaster operation API consists of begin, update, finish and abort. This is the type of the
* handle used to tie the sequence of calls together. A 64-bit value is used because it's important
* that handles not be predictable. Implementations must use strong random numbers for handle
* values.
*/
typedef uint64_t keymaster_operation_handle_t;
typedef enum {
KM_ERROR_OK = 0,
KM_ERROR_ROOT_OF_TRUST_ALREADY_SET = -1,
KM_ERROR_UNSUPPORTED_PURPOSE = -2,
KM_ERROR_INCOMPATIBLE_PURPOSE = -3,
KM_ERROR_UNSUPPORTED_ALGORITHM = -4,
KM_ERROR_INCOMPATIBLE_ALGORITHM = -5,
KM_ERROR_UNSUPPORTED_KEY_SIZE = -6,
KM_ERROR_UNSUPPORTED_BLOCK_MODE = -7,
KM_ERROR_INCOMPATIBLE_BLOCK_MODE = -8,
KM_ERROR_UNSUPPORTED_MAC_LENGTH = -9,
KM_ERROR_UNSUPPORTED_PADDING_MODE = -10,
KM_ERROR_INCOMPATIBLE_PADDING_MODE = -11,
KM_ERROR_UNSUPPORTED_DIGEST = -12,
KM_ERROR_INCOMPATIBLE_DIGEST = -13,
KM_ERROR_INVALID_EXPIRATION_TIME = -14,
KM_ERROR_INVALID_USER_ID = -15,
KM_ERROR_INVALID_AUTHORIZATION_TIMEOUT = -16,
KM_ERROR_UNSUPPORTED_KEY_FORMAT = -17,
KM_ERROR_INCOMPATIBLE_KEY_FORMAT = -18,
KM_ERROR_UNSUPPORTED_KEY_ENCRYPTION_ALGORITHM = -19, /* For PKCS8 & PKCS12 */
KM_ERROR_UNSUPPORTED_KEY_VERIFICATION_ALGORITHM = -20, /* For PKCS8 & PKCS12 */
KM_ERROR_INVALID_INPUT_LENGTH = -21,
KM_ERROR_KEY_EXPORT_OPTIONS_INVALID = -22,
KM_ERROR_DELEGATION_NOT_ALLOWED = -23,
KM_ERROR_KEY_NOT_YET_VALID = -24,
KM_ERROR_KEY_EXPIRED = -25,
KM_ERROR_KEY_USER_NOT_AUTHENTICATED = -26,
KM_ERROR_OUTPUT_PARAMETER_NULL = -27,
KM_ERROR_INVALID_OPERATION_HANDLE = -28,
KM_ERROR_INSUFFICIENT_BUFFER_SPACE = -29,
KM_ERROR_VERIFICATION_FAILED = -30,
KM_ERROR_TOO_MANY_OPERATIONS = -31,
KM_ERROR_UNEXPECTED_NULL_POINTER = -32,
KM_ERROR_INVALID_KEY_BLOB = -33,
KM_ERROR_IMPORTED_KEY_NOT_ENCRYPTED = -34,
KM_ERROR_IMPORTED_KEY_DECRYPTION_FAILED = -35,
KM_ERROR_IMPORTED_KEY_NOT_SIGNED = -36,
KM_ERROR_IMPORTED_KEY_VERIFICATION_FAILED = -37,
KM_ERROR_INVALID_ARGUMENT = -38,
KM_ERROR_UNSUPPORTED_TAG = -39,
KM_ERROR_INVALID_TAG = -40,
KM_ERROR_MEMORY_ALLOCATION_FAILED = -41,
KM_ERROR_IMPORT_PARAMETER_MISMATCH = -44,
KM_ERROR_SECURE_HW_ACCESS_DENIED = -45,
KM_ERROR_OPERATION_CANCELLED = -46,
KM_ERROR_CONCURRENT_ACCESS_CONFLICT = -47,
KM_ERROR_SECURE_HW_BUSY = -48,
KM_ERROR_SECURE_HW_COMMUNICATION_FAILED = -49,
KM_ERROR_UNSUPPORTED_EC_FIELD = -50,
KM_ERROR_MISSING_NONCE = -51,
KM_ERROR_INVALID_NONCE = -52,
KM_ERROR_MISSING_MAC_LENGTH = -53,
KM_ERROR_KEY_RATE_LIMIT_EXCEEDED = -54,
KM_ERROR_CALLER_NONCE_PROHIBITED = -55,
KM_ERROR_KEY_MAX_OPS_EXCEEDED = -56,
KM_ERROR_INVALID_MAC_LENGTH = -57,
KM_ERROR_MISSING_MIN_MAC_LENGTH = -58,
KM_ERROR_UNSUPPORTED_MIN_MAC_LENGTH = -59,
KM_ERROR_UNIMPLEMENTED = -100,
KM_ERROR_VERSION_MISMATCH = -101,
/* Additional error codes may be added by implementations, but implementers should coordinate
* with Google to avoid code collision. */
KM_ERROR_UNKNOWN_ERROR = -1000,
} keymaster_error_t;
/* Convenience functions for manipulating keymaster tag types */
static inline keymaster_tag_type_t keymaster_tag_get_type(keymaster_tag_t tag) {
return (keymaster_tag_type_t)(tag & (0xF << 28));
}
static inline uint32_t keymaster_tag_mask_type(keymaster_tag_t tag) {
return tag & 0x0FFFFFFF;
}
static inline bool keymaster_tag_type_repeatable(keymaster_tag_type_t type) {
switch (type) {
case KM_UINT_REP:
case KM_ENUM_REP:
return true;
default:
return false;
}
}
static inline bool keymaster_tag_repeatable(keymaster_tag_t tag) {
return keymaster_tag_type_repeatable(keymaster_tag_get_type(tag));
}
/* Convenience functions for manipulating keymaster_key_param_t structs */
inline keymaster_key_param_t keymaster_param_enum(keymaster_tag_t tag, uint32_t value) {
// assert(keymaster_tag_get_type(tag) == KM_ENUM || keymaster_tag_get_type(tag) == KM_ENUM_REP);
keymaster_key_param_t param;
memset(&param, 0, sizeof(param));
param.tag = tag;
param.enumerated = value;
return param;
}
inline keymaster_key_param_t keymaster_param_int(keymaster_tag_t tag, uint32_t value) {
// assert(keymaster_tag_get_type(tag) == KM_INT || keymaster_tag_get_type(tag) == KM_INT_REP);
keymaster_key_param_t param;
memset(&param, 0, sizeof(param));
param.tag = tag;
param.integer = value;
return param;
}
inline keymaster_key_param_t keymaster_param_long(keymaster_tag_t tag, uint64_t value) {
// assert(keymaster_tag_get_type(tag) == KM_LONG);
keymaster_key_param_t param;
memset(&param, 0, sizeof(param));
param.tag = tag;
param.long_integer = value;
return param;
}
inline keymaster_key_param_t keymaster_param_blob(keymaster_tag_t tag, const uint8_t* bytes,
size_t bytes_len) {
// assert(keymaster_tag_get_type(tag) == KM_BYTES || keymaster_tag_get_type(tag) == KM_BIGNUM);
keymaster_key_param_t param;
memset(&param, 0, sizeof(param));
param.tag = tag;
param.blob.data = (uint8_t*)bytes;
param.blob.data_length = bytes_len;
return param;
}
inline keymaster_key_param_t keymaster_param_bool(keymaster_tag_t tag) {
// assert(keymaster_tag_get_type(tag) == KM_BOOL);
keymaster_key_param_t param;
memset(&param, 0, sizeof(param));
param.tag = tag;
param.boolean = true;
return param;
}
inline keymaster_key_param_t keymaster_param_date(keymaster_tag_t tag, uint64_t value) {
// assert(keymaster_tag_get_type(tag) == KM_DATE);
keymaster_key_param_t param;
memset(&param, 0, sizeof(param));
param.tag = tag;
param.date_time = value;
return param;
}
#define KEYMASTER_SIMPLE_COMPARE(a, b) (a < b) ? -1 : ((a > b) ? 1 : 0)
inline int keymaster_param_compare(const keymaster_key_param_t* a, const keymaster_key_param_t* b) {
int retval = KEYMASTER_SIMPLE_COMPARE(a->tag, b->tag);
if (retval != 0)
return retval;
switch (keymaster_tag_get_type(a->tag)) {
case KM_INVALID:
case KM_BOOL:
return 0;
case KM_ENUM:
case KM_ENUM_REP:
return KEYMASTER_SIMPLE_COMPARE(a->enumerated, b->enumerated);
case KM_UINT:
case KM_UINT_REP:
return KEYMASTER_SIMPLE_COMPARE(a->integer, b->integer);
case KM_ULONG:
case KM_ULONG_REP:
return KEYMASTER_SIMPLE_COMPARE(a->long_integer, b->long_integer);
case KM_DATE:
return KEYMASTER_SIMPLE_COMPARE(a->date_time, b->date_time);
case KM_BIGNUM:
case KM_BYTES:
// Handle the empty cases.
if (a->blob.data_length != 0 && b->blob.data_length == 0)
return -1;
if (a->blob.data_length == 0 && b->blob.data_length == 0)
return 0;
if (a->blob.data_length == 0 && b->blob.data_length > 0)
return 1;
retval = memcmp(a->blob.data, b->blob.data, a->blob.data_length < b->blob.data_length
? a->blob.data_length
: b->blob.data_length);
if (retval != 0)
return retval;
else if (a->blob.data_length != b->blob.data_length) {
// Equal up to the common length; longer one is larger.
if (a->blob.data_length < b->blob.data_length)
return -1;
if (a->blob.data_length > b->blob.data_length)
return 1;
};
}
return 0;
}
#undef KEYMASTER_SIMPLE_COMPARE
inline void keymaster_free_param_values(keymaster_key_param_t* param, size_t param_count) {
while (param_count-- > 0) {
switch (keymaster_tag_get_type(param->tag)) {
case KM_BIGNUM:
case KM_BYTES:
free((void*)param->blob.data);
param->blob.data = NULL;
break;
default:
// NOP
break;
}
++param;
}
}
inline void keymaster_free_param_set(keymaster_key_param_set_t* set) {
if (set) {
keymaster_free_param_values(set->params, set->length);
free(set->params);
set->params = NULL;
}
}
inline void keymaster_free_characteristics(keymaster_key_characteristics_t* characteristics) {
if (characteristics) {
keymaster_free_param_set(&characteristics->hw_enforced);
keymaster_free_param_set(&characteristics->sw_enforced);
}
}
#ifdef __cplusplus
} // extern "C"
#endif // __cplusplus
#endif // ANDROID_HARDWARE_KEYMASTER_DEFS_H