secp256k1.h raw

   1  #ifndef SECP256K1_H
   2  #define SECP256K1_H
   3  
   4  #ifdef __cplusplus
   5  extern "C" {
   6  #endif
   7  
   8  #include <stddef.h>
   9  
  10  /** Unless explicitly stated all pointer arguments must not be NULL.
  11   *
  12   * The following rules specify the order of arguments in API calls:
  13   *
  14   * 1. Context pointers go first, followed by output arguments, combined
  15   *    output/input arguments, and finally input-only arguments.
  16   * 2. Array lengths always immediately follow the argument whose length
  17   *    they describe, even if this violates rule 1.
  18   * 3. Within the OUT/OUTIN/IN groups, pointers to data that is typically generated
  19   *    later go first. This means: signatures, public nonces, secret nonces,
  20   *    messages, public keys, secret keys, tweaks.
  21   * 4. Arguments that are not data pointers go last, from more complex to less
  22   *    complex: function pointers, algorithm names, messages, void pointers,
  23   *    counts, flags, booleans.
  24   * 5. Opaque data pointers follow the function pointer they are to be passed to.
  25   */
  26  
  27  /** Opaque data structure that holds context information
  28   *
  29   *  The primary purpose of context objects is to store randomization data for
  30   *  enhanced protection against side-channel leakage. This protection is only
  31   *  effective if the context is randomized after its creation. See
  32   *  secp256k1_context_create for creation of contexts and
  33   *  secp256k1_context_randomize for randomization.
  34   *
  35   *  A secondary purpose of context objects is to store pointers to callback
  36   *  functions that the library will call when certain error states arise. See
  37   *  secp256k1_context_set_error_callback as well as
  38   *  secp256k1_context_set_illegal_callback for details. Future library versions
  39   *  may use context objects for additional purposes.
  40   *
  41   *  A constructed context can safely be used from multiple threads
  42   *  simultaneously, but API calls that take a non-const pointer to a context
  43   *  need exclusive access to it. In particular this is the case for
  44   *  secp256k1_context_destroy, secp256k1_context_preallocated_destroy,
  45   *  and secp256k1_context_randomize.
  46   *
  47   *  Regarding randomization, either do it once at creation time (in which case
  48   *  you do not need any locking for the other calls), or use a read-write lock.
  49   */
  50  typedef struct secp256k1_context_struct secp256k1_context;
  51  
  52  /** Opaque data structure that holds a parsed and valid public key.
  53   *
  54   *  The exact representation of data inside is implementation defined and not
  55   *  guaranteed to be portable between different platforms or versions. It is
  56   *  however guaranteed to be 64 bytes in size, and can be safely copied/moved.
  57   *  If you need to convert to a format suitable for storage or transmission,
  58   *  use secp256k1_ec_pubkey_serialize and secp256k1_ec_pubkey_parse. To
  59   *  compare keys, use secp256k1_ec_pubkey_cmp.
  60   */
  61  typedef struct secp256k1_pubkey {
  62      unsigned char data[64];
  63  } secp256k1_pubkey;
  64  
  65  /** Opaque data structure that holds a parsed ECDSA signature.
  66   *
  67   *  The exact representation of data inside is implementation defined and not
  68   *  guaranteed to be portable between different platforms or versions. It is
  69   *  however guaranteed to be 64 bytes in size, and can be safely copied/moved.
  70   *  If you need to convert to a format suitable for storage, transmission, or
  71   *  comparison, use the secp256k1_ecdsa_signature_serialize_* and
  72   *  secp256k1_ecdsa_signature_parse_* functions.
  73   */
  74  typedef struct secp256k1_ecdsa_signature {
  75      unsigned char data[64];
  76  } secp256k1_ecdsa_signature;
  77  
  78  /** A pointer to a function to deterministically generate a nonce.
  79   *
  80   * Returns: 1 if a nonce was successfully generated. 0 will cause signing to fail.
  81   * Out:     nonce32:   pointer to a 32-byte array to be filled by the function.
  82   * In:      msg32:     the 32-byte message hash being verified (will not be NULL)
  83   *          key32:     pointer to a 32-byte secret key (will not be NULL)
  84   *          algo16:    pointer to a 16-byte array describing the signature
  85   *                     algorithm (will be NULL for ECDSA for compatibility).
  86   *          data:      Arbitrary data pointer that is passed through.
  87   *          attempt:   how many iterations we have tried to find a nonce.
  88   *                     This will almost always be 0, but different attempt values
  89   *                     are required to result in a different nonce.
  90   *
  91   * Except for test cases, this function should compute some cryptographic hash of
  92   * the message, the algorithm, the key and the attempt.
  93   */
  94  typedef int (*secp256k1_nonce_function)(
  95      unsigned char *nonce32,
  96      const unsigned char *msg32,
  97      const unsigned char *key32,
  98      const unsigned char *algo16,
  99      void *data,
 100      unsigned int attempt
 101  );
 102  
 103  # if !defined(SECP256K1_GNUC_PREREQ)
 104  #  if defined(__GNUC__)&&defined(__GNUC_MINOR__)
 105  #   define SECP256K1_GNUC_PREREQ(_maj,_min) \
 106   ((__GNUC__<<16)+__GNUC_MINOR__>=((_maj)<<16)+(_min))
 107  #  else
 108  #   define SECP256K1_GNUC_PREREQ(_maj,_min) 0
 109  #  endif
 110  # endif
 111  
 112  /*  When this header is used at build-time the SECP256K1_BUILD define needs to be set
 113   *  to correctly setup export attributes and nullness checks.  This is normally done
 114   *  by secp256k1.c but to guard against this header being included before secp256k1.c
 115   *  has had a chance to set the define (e.g. via test harnesses that just includes
 116   *  secp256k1.c) we set SECP256K1_NO_BUILD when this header is processed without the
 117   *  BUILD define so this condition can be caught.
 118   */
 119  #ifndef SECP256K1_BUILD
 120  # define SECP256K1_NO_BUILD
 121  #endif
 122  
 123  /* Symbol visibility. */
 124  #if defined(_WIN32)
 125    /* GCC for Windows (e.g., MinGW) accepts the __declspec syntax
 126     * for MSVC compatibility. A __declspec declaration implies (but is not
 127     * exactly equivalent to) __attribute__ ((visibility("default"))), and so we
 128     * actually want __declspec even on GCC, see "Microsoft Windows Function
 129     * Attributes" in the GCC manual and the recommendations in
 130     * https://gcc.gnu.org/wiki/Visibility. */
 131  # if defined(SECP256K1_BUILD)
 132  #  if defined(DLL_EXPORT) || defined(SECP256K1_DLL_EXPORT)
 133      /* Building libsecp256k1 as a DLL.
 134       * 1. If using Libtool, it defines DLL_EXPORT automatically.
 135       * 2. In other cases, SECP256K1_DLL_EXPORT must be defined. */
 136  #   define SECP256K1_API extern __declspec (dllexport)
 137  #  else
 138      /* Building libsecp256k1 as a static library on Windows.
 139       * No declspec is needed, and so we would want the non-Windows-specific
 140       * logic below take care of this case. However, this may result in setting
 141       * __attribute__ ((visibility("default"))), which is supposed to be a noop
 142       * on Windows but may trigger warnings when compiling with -flto due to a
 143       * bug in GCC, see
 144       * https://gcc.gnu.org/bugzilla/show_bug.cgi?id=116478 . */
 145  #   define SECP256K1_API extern
 146  #  endif
 147    /* The user must define SECP256K1_STATIC when consuming libsecp256k1 as a static
 148     * library on Windows. */
 149  # elif !defined(SECP256K1_STATIC)
 150     /* Consuming libsecp256k1 as a DLL. */
 151  #  define SECP256K1_API extern __declspec (dllimport)
 152  # endif
 153  #endif
 154  #ifndef SECP256K1_API
 155  /* All cases not captured by the Windows-specific logic. */
 156  # if defined(__GNUC__) && (__GNUC__ >= 4) && defined(SECP256K1_BUILD)
 157     /* Building libsecp256k1 using GCC or compatible. */
 158  #  define SECP256K1_API extern __attribute__ ((visibility ("default")))
 159  # else
 160     /* Fall back to standard C's extern. */
 161  #  define SECP256K1_API extern
 162  # endif
 163  #endif
 164  
 165  /* Warning attributes
 166   * NONNULL is not used if SECP256K1_BUILD is set to avoid the compiler optimizing out
 167   * some paranoid null checks. */
 168  # if defined(__GNUC__) && SECP256K1_GNUC_PREREQ(3, 4)
 169  #  define SECP256K1_WARN_UNUSED_RESULT __attribute__ ((__warn_unused_result__))
 170  # else
 171  #  define SECP256K1_WARN_UNUSED_RESULT
 172  # endif
 173  # if !defined(SECP256K1_BUILD) && defined(__GNUC__) && SECP256K1_GNUC_PREREQ(3, 4)
 174  #  define SECP256K1_ARG_NONNULL(_x)  __attribute__ ((__nonnull__(_x)))
 175  # else
 176  #  define SECP256K1_ARG_NONNULL(_x)
 177  # endif
 178  
 179  /* Attribute for marking functions, types, and variables as deprecated */
 180  #if !defined(SECP256K1_BUILD) && defined(__has_attribute)
 181  # if __has_attribute(__deprecated__)
 182  #  define SECP256K1_DEPRECATED(_msg) __attribute__ ((__deprecated__(_msg)))
 183  # else
 184  #  define SECP256K1_DEPRECATED(_msg)
 185  # endif
 186  #else
 187  # define SECP256K1_DEPRECATED(_msg)
 188  #endif
 189  
 190  /* All flags' lower 8 bits indicate what they're for. Do not use directly. */
 191  #define SECP256K1_FLAGS_TYPE_MASK ((1 << 8) - 1)
 192  #define SECP256K1_FLAGS_TYPE_CONTEXT (1 << 0)
 193  #define SECP256K1_FLAGS_TYPE_COMPRESSION (1 << 1)
 194  /* The higher bits contain the actual data. Do not use directly. */
 195  #define SECP256K1_FLAGS_BIT_CONTEXT_VERIFY (1 << 8)
 196  #define SECP256K1_FLAGS_BIT_CONTEXT_SIGN (1 << 9)
 197  #define SECP256K1_FLAGS_BIT_CONTEXT_DECLASSIFY (1 << 10)
 198  #define SECP256K1_FLAGS_BIT_COMPRESSION (1 << 8)
 199  
 200  /** Context flags to pass to secp256k1_context_create, secp256k1_context_preallocated_size, and
 201   *  secp256k1_context_preallocated_create. */
 202  #define SECP256K1_CONTEXT_NONE (SECP256K1_FLAGS_TYPE_CONTEXT)
 203  
 204  /** Deprecated context flags. These flags are treated equivalent to SECP256K1_CONTEXT_NONE. */
 205  #define SECP256K1_CONTEXT_VERIFY (SECP256K1_FLAGS_TYPE_CONTEXT | SECP256K1_FLAGS_BIT_CONTEXT_VERIFY)
 206  #define SECP256K1_CONTEXT_SIGN (SECP256K1_FLAGS_TYPE_CONTEXT | SECP256K1_FLAGS_BIT_CONTEXT_SIGN)
 207  
 208  /* Testing flag. Do not use. */
 209  #define SECP256K1_CONTEXT_DECLASSIFY (SECP256K1_FLAGS_TYPE_CONTEXT | SECP256K1_FLAGS_BIT_CONTEXT_DECLASSIFY)
 210  
 211  /** Flag to pass to secp256k1_ec_pubkey_serialize. */
 212  #define SECP256K1_EC_COMPRESSED (SECP256K1_FLAGS_TYPE_COMPRESSION | SECP256K1_FLAGS_BIT_COMPRESSION)
 213  #define SECP256K1_EC_UNCOMPRESSED (SECP256K1_FLAGS_TYPE_COMPRESSION)
 214  
 215  /** Prefix byte used to tag various encoded curvepoints for specific purposes */
 216  #define SECP256K1_TAG_PUBKEY_EVEN 0x02
 217  #define SECP256K1_TAG_PUBKEY_ODD 0x03
 218  #define SECP256K1_TAG_PUBKEY_UNCOMPRESSED 0x04
 219  #define SECP256K1_TAG_PUBKEY_HYBRID_EVEN 0x06
 220  #define SECP256K1_TAG_PUBKEY_HYBRID_ODD 0x07
 221  
 222  /** A built-in constant secp256k1 context object with static storage duration, to be
 223   *  used in conjunction with secp256k1_selftest.
 224   *
 225   *  This context object offers *only limited functionality* , i.e., it cannot be used
 226   *  for API functions that perform computations involving secret keys, e.g., signing
 227   *  and public key generation. If this restriction applies to a specific API function,
 228   *  it is mentioned in its documentation. See secp256k1_context_create if you need a
 229   *  full context object that supports all functionality offered by the library.
 230   *
 231   *  It is highly recommended to call secp256k1_selftest before using this context.
 232   */
 233  SECP256K1_API const secp256k1_context *secp256k1_context_static;
 234  
 235  /** Deprecated alias for secp256k1_context_static. */
 236  SECP256K1_API const secp256k1_context *secp256k1_context_no_precomp
 237  SECP256K1_DEPRECATED("Use secp256k1_context_static instead");
 238  
 239  /** Perform basic self tests (to be used in conjunction with secp256k1_context_static)
 240   *
 241   *  This function performs self tests that detect some serious usage errors and
 242   *  similar conditions, e.g., when the library is compiled for the wrong endianness.
 243   *  This is a last resort measure to be used in production. The performed tests are
 244   *  very rudimentary and are not intended as a replacement for running the test
 245   *  binaries.
 246   *
 247   *  It is highly recommended to call this before using secp256k1_context_static.
 248   *  It is not necessary to call this function before using a context created with
 249   *  secp256k1_context_create (or secp256k1_context_preallocated_create), which will
 250   *  take care of performing the self tests.
 251   *
 252   *  If the tests fail, this function will call the default error handler to abort the
 253   *  program (see secp256k1_context_set_error_callback).
 254   */
 255  SECP256K1_API void secp256k1_selftest(void);
 256  
 257  
 258  /** Create a secp256k1 context object (in dynamically allocated memory).
 259   *
 260   *  This function uses malloc to allocate memory. It is guaranteed that malloc is
 261   *  called at most once for every call of this function. If you need to avoid dynamic
 262   *  memory allocation entirely, see secp256k1_context_static and the functions in
 263   *  secp256k1_preallocated.h.
 264   *
 265   *  Returns: pointer to a newly created context object.
 266   *  In:      flags: Always set to SECP256K1_CONTEXT_NONE (see below).
 267   *
 268   *  The only valid non-deprecated flag in recent library versions is
 269   *  SECP256K1_CONTEXT_NONE, which will create a context sufficient for all functionality
 270   *  offered by the library. All other (deprecated) flags will be treated as equivalent
 271   *  to the SECP256K1_CONTEXT_NONE flag. Though the flags parameter primarily exists for
 272   *  historical reasons, future versions of the library may introduce new flags.
 273   *
 274   *  If the context is intended to be used for API functions that perform computations
 275   *  involving secret keys, e.g., signing and public key generation, then it is highly
 276   *  recommended to call secp256k1_context_randomize on the context before calling
 277   *  those API functions. This will provide enhanced protection against side-channel
 278   *  leakage, see secp256k1_context_randomize for details.
 279   *
 280   *  Do not create a new context object for each operation, as construction and
 281   *  randomization can take non-negligible time.
 282   */
 283  SECP256K1_API secp256k1_context *secp256k1_context_create(
 284      unsigned int flags
 285  ) SECP256K1_WARN_UNUSED_RESULT;
 286  
 287  /** Copy a secp256k1 context object (into dynamically allocated memory).
 288   *
 289   *  This function uses malloc to allocate memory. It is guaranteed that malloc is
 290   *  called at most once for every call of this function. If you need to avoid dynamic
 291   *  memory allocation entirely, see the functions in secp256k1_preallocated.h.
 292   *
 293   *  Cloning secp256k1_context_static is not possible, and should not be emulated by
 294   *  the caller (e.g., using memcpy). Create a new context instead.
 295   *
 296   *  Returns: pointer to a newly created context object.
 297   *  Args:    ctx: pointer to a context to copy (not secp256k1_context_static).
 298   */
 299  SECP256K1_API secp256k1_context *secp256k1_context_clone(
 300      const secp256k1_context *ctx
 301  ) SECP256K1_ARG_NONNULL(1) SECP256K1_WARN_UNUSED_RESULT;
 302  
 303  /** Destroy a secp256k1 context object (created in dynamically allocated memory).
 304   *
 305   *  The context pointer may not be used afterwards.
 306   *
 307   *  The context to destroy must have been created using secp256k1_context_create
 308   *  or secp256k1_context_clone. If the context has instead been created using
 309   *  secp256k1_context_preallocated_create or secp256k1_context_preallocated_clone, the
 310   *  behaviour is undefined. In that case, secp256k1_context_preallocated_destroy must
 311   *  be used instead.
 312   *
 313   *  Args:   ctx: pointer to a context to destroy, constructed using
 314   *               secp256k1_context_create or secp256k1_context_clone
 315   *               (i.e., not secp256k1_context_static).
 316   */
 317  SECP256K1_API void secp256k1_context_destroy(
 318      secp256k1_context *ctx
 319  ) SECP256K1_ARG_NONNULL(1);
 320  
 321  /** Set a callback function to be called when an illegal argument is passed to
 322   *  an API call. It will only trigger for violations that are mentioned
 323   *  explicitly in the header.
 324   *
 325   *  The philosophy is that these shouldn't be dealt with through a
 326   *  specific return value, as calling code should not have branches to deal with
 327   *  the case that this code itself is broken.
 328   *
 329   *  On the other hand, during debug stage, one would want to be informed about
 330   *  such mistakes, and the default (crashing) may be inadvisable.
 331   *  When this callback is triggered, the API function called is guaranteed not
 332   *  to cause a crash, though its return value and output arguments are
 333   *  undefined.
 334   *
 335   *  When this function has not been called (or called with fn==NULL), then the
 336   *  default handler will be used. The library provides a default handler which
 337   *  writes the message to stderr and calls abort. This default handler can be
 338   *  replaced at link time if the preprocessor macro
 339   *  USE_EXTERNAL_DEFAULT_CALLBACKS is defined, which is the case if the build
 340   *  has been configured with --enable-external-default-callbacks. Then the
 341   *  following two symbols must be provided to link against:
 342   *   - void secp256k1_default_illegal_callback_fn(const char *message, void *data);
 343   *   - void secp256k1_default_error_callback_fn(const char *message, void *data);
 344   *  The library can call these default handlers even before a proper callback data
 345   *  pointer could have been set using secp256k1_context_set_illegal_callback or
 346   *  secp256k1_context_set_error_callback, e.g., when the creation of a context
 347   *  fails. In this case, the corresponding default handler will be called with
 348   *  the data pointer argument set to NULL.
 349   *
 350   *  Args: ctx:  pointer to a context object.
 351   *  In:   fun:  pointer to a function to call when an illegal argument is
 352   *              passed to the API, taking a message and an opaque pointer.
 353   *              (NULL restores the default handler.)
 354   *        data: the opaque pointer to pass to fun above, must be NULL for the default handler.
 355   *
 356   *  See also secp256k1_context_set_error_callback.
 357   */
 358  SECP256K1_API void secp256k1_context_set_illegal_callback(
 359      secp256k1_context *ctx,
 360      void (*fun)(const char *message, void *data),
 361      const void *data
 362  ) SECP256K1_ARG_NONNULL(1);
 363  
 364  /** Set a callback function to be called when an internal consistency check
 365   *  fails.
 366   *
 367   *  The default callback writes an error message to stderr and calls abort
 368   *  to abort the program.
 369   *
 370   *  This can only trigger in case of a hardware failure, miscompilation,
 371   *  memory corruption, serious bug in the library, or other error would can
 372   *  otherwise result in undefined behaviour. It will not trigger due to mere
 373   *  incorrect usage of the API (see secp256k1_context_set_illegal_callback
 374   *  for that). After this callback returns, anything may happen, including
 375   *  crashing.
 376   *
 377   *  Args: ctx:  pointer to a context object.
 378   *  In:   fun:  pointer to a function to call when an internal error occurs,
 379   *              taking a message and an opaque pointer (NULL restores the
 380   *              default handler, see secp256k1_context_set_illegal_callback
 381   *              for details).
 382   *        data: the opaque pointer to pass to fun above, must be NULL for the default handler.
 383   *
 384   *  See also secp256k1_context_set_illegal_callback.
 385   */
 386  SECP256K1_API void secp256k1_context_set_error_callback(
 387      secp256k1_context *ctx,
 388      void (*fun)(const char *message, void *data),
 389      const void *data
 390  ) SECP256K1_ARG_NONNULL(1);
 391  
 392  /** Parse a variable-length public key into the pubkey object.
 393   *
 394   *  Returns: 1 if the public key was fully valid.
 395   *           0 if the public key could not be parsed or is invalid.
 396   *  Args: ctx:      pointer to a context object.
 397   *  Out:  pubkey:   pointer to a pubkey object. If 1 is returned, it is set to a
 398   *                  parsed version of input. If not, its value is undefined.
 399   *  In:   input:    pointer to a serialized public key
 400   *        inputlen: length of the array pointed to by input
 401   *
 402   *  This function supports parsing compressed (33 bytes, header byte 0x02 or
 403   *  0x03), uncompressed (65 bytes, header byte 0x04), or hybrid (65 bytes, header
 404   *  byte 0x06 or 0x07) format public keys.
 405   */
 406  SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_parse(
 407      const secp256k1_context *ctx,
 408      secp256k1_pubkey *pubkey,
 409      const unsigned char *input,
 410      size_t inputlen
 411  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 412  
 413  /** Serialize a pubkey object into a serialized byte sequence.
 414   *
 415   *  Returns: 1 always.
 416   *  Args:   ctx:        pointer to a context object.
 417   *  Out:    output:     pointer to a 65-byte (if compressed==0) or 33-byte (if
 418   *                      compressed==1) byte array to place the serialized key
 419   *                      in.
 420   *  In/Out: outputlen:  pointer to an integer which is initially set to the
 421   *                      size of output, and is overwritten with the written
 422   *                      size.
 423   *  In:     pubkey:     pointer to a secp256k1_pubkey containing an
 424   *                      initialized public key.
 425   *          flags:      SECP256K1_EC_COMPRESSED if serialization should be in
 426   *                      compressed format, otherwise SECP256K1_EC_UNCOMPRESSED.
 427   */
 428  SECP256K1_API int secp256k1_ec_pubkey_serialize(
 429      const secp256k1_context *ctx,
 430      unsigned char *output,
 431      size_t *outputlen,
 432      const secp256k1_pubkey *pubkey,
 433      unsigned int flags
 434  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
 435  
 436  /** Compare two public keys using lexicographic (of compressed serialization) order
 437   *
 438   *  Returns: <0 if the first public key is less than the second
 439   *           >0 if the first public key is greater than the second
 440   *           0 if the two public keys are equal
 441   *  Args: ctx:      pointer to a context object
 442   *  In:   pubkey1:  first public key to compare
 443   *        pubkey2:  second public key to compare
 444   */
 445  SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_cmp(
 446      const secp256k1_context *ctx,
 447      const secp256k1_pubkey *pubkey1,
 448      const secp256k1_pubkey *pubkey2
 449  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 450  
 451  /** Sort public keys using lexicographic (of compressed serialization) order
 452   *
 453   *  Returns: 0 if the arguments are invalid. 1 otherwise.
 454   *
 455   *  Args:     ctx: pointer to a context object
 456   *  In:   pubkeys: array of pointers to pubkeys to sort
 457   *      n_pubkeys: number of elements in the pubkeys array
 458   */
 459  SECP256K1_API int secp256k1_ec_pubkey_sort(
 460      const secp256k1_context *ctx,
 461      const secp256k1_pubkey **pubkeys,
 462      size_t n_pubkeys
 463  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2);
 464  
 465  /** Parse an ECDSA signature in compact (64 bytes) format.
 466   *
 467   *  Returns: 1 when the signature could be parsed, 0 otherwise.
 468   *  Args: ctx:      pointer to a context object
 469   *  Out:  sig:      pointer to a signature object
 470   *  In:   input64:  pointer to the 64-byte array to parse
 471   *
 472   *  The signature must consist of a 32-byte big endian R value, followed by a
 473   *  32-byte big endian S value. If R or S fall outside of [0..order-1], the
 474   *  encoding is invalid. R and S with value 0 are allowed in the encoding.
 475   *
 476   *  After the call, sig will always be initialized. If parsing failed or R or
 477   *  S are zero, the resulting sig value is guaranteed to fail verification for
 478   *  any message and public key.
 479   */
 480  SECP256K1_API int secp256k1_ecdsa_signature_parse_compact(
 481      const secp256k1_context *ctx,
 482      secp256k1_ecdsa_signature *sig,
 483      const unsigned char *input64
 484  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 485  
 486  /** Parse a DER ECDSA signature.
 487   *
 488   *  Returns: 1 when the signature could be parsed, 0 otherwise.
 489   *  Args: ctx:      pointer to a context object
 490   *  Out:  sig:      pointer to a signature object
 491   *  In:   input:    pointer to the signature to be parsed
 492   *        inputlen: the length of the array pointed to be input
 493   *
 494   *  This function will accept any valid DER encoded signature, even if the
 495   *  encoded numbers are out of range.
 496   *
 497   *  After the call, sig will always be initialized. If parsing failed or the
 498   *  encoded numbers are out of range, signature verification with it is
 499   *  guaranteed to fail for every message and public key.
 500   */
 501  SECP256K1_API int secp256k1_ecdsa_signature_parse_der(
 502      const secp256k1_context *ctx,
 503      secp256k1_ecdsa_signature *sig,
 504      const unsigned char *input,
 505      size_t inputlen
 506  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 507  
 508  /** Serialize an ECDSA signature in DER format.
 509   *
 510   *  Returns: 1 if enough space was available to serialize, 0 otherwise
 511   *  Args:   ctx:       pointer to a context object
 512   *  Out:    output:    pointer to an array to store the DER serialization
 513   *  In/Out: outputlen: pointer to a length integer. Initially, this integer
 514   *                     should be set to the length of output. After the call
 515   *                     it will be set to the length of the serialization (even
 516   *                     if 0 was returned).
 517   *  In:     sig:       pointer to an initialized signature object
 518   */
 519  SECP256K1_API int secp256k1_ecdsa_signature_serialize_der(
 520      const secp256k1_context *ctx,
 521      unsigned char *output,
 522      size_t *outputlen,
 523      const secp256k1_ecdsa_signature *sig
 524  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
 525  
 526  /** Serialize an ECDSA signature in compact (64 byte) format.
 527   *
 528   *  Returns: 1
 529   *  Args:   ctx:       pointer to a context object
 530   *  Out:    output64:  pointer to a 64-byte array to store the compact serialization
 531   *  In:     sig:       pointer to an initialized signature object
 532   *
 533   *  See secp256k1_ecdsa_signature_parse_compact for details about the encoding.
 534   */
 535  SECP256K1_API int secp256k1_ecdsa_signature_serialize_compact(
 536      const secp256k1_context *ctx,
 537      unsigned char *output64,
 538      const secp256k1_ecdsa_signature *sig
 539  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 540  
 541  /** Verify an ECDSA signature.
 542   *
 543   *  Returns: 1: correct signature
 544   *           0: incorrect or unparseable signature
 545   *  Args:    ctx:       pointer to a context object
 546   *  In:      sig:       the signature being verified.
 547   *           msghash32: the 32-byte message hash being verified.
 548   *                      The verifier must make sure to apply a cryptographic
 549   *                      hash function to the message by itself and not accept an
 550   *                      msghash32 value directly. Otherwise, it would be easy to
 551   *                      create a "valid" signature without knowledge of the
 552   *                      secret key. See also
 553   *                      https://bitcoin.stackexchange.com/a/81116/35586 for more
 554   *                      background on this topic.
 555   *           pubkey:    pointer to an initialized public key to verify with.
 556   *
 557   * To avoid accepting malleable signatures, only ECDSA signatures in lower-S
 558   * form are accepted.
 559   *
 560   * If you need to accept ECDSA signatures from sources that do not obey this
 561   * rule, apply secp256k1_ecdsa_signature_normalize to the signature prior to
 562   * verification, but be aware that doing so results in malleable signatures.
 563   *
 564   * For details, see the comments for that function.
 565   */
 566  SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_verify(
 567      const secp256k1_context *ctx,
 568      const secp256k1_ecdsa_signature *sig,
 569      const unsigned char *msghash32,
 570      const secp256k1_pubkey *pubkey
 571  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
 572  
 573  /** Convert a signature to a normalized lower-S form.
 574   *
 575   *  Returns: 1 if sigin was not normalized, 0 if it already was.
 576   *  Args: ctx:    pointer to a context object
 577   *  Out:  sigout: pointer to a signature to fill with the normalized form,
 578   *                or copy if the input was already normalized. (can be NULL if
 579   *                you're only interested in whether the input was already
 580   *                normalized).
 581   *  In:   sigin:  pointer to a signature to check/normalize (can be identical to sigout)
 582   *
 583   *  With ECDSA a third-party can forge a second distinct signature of the same
 584   *  message, given a single initial signature, but without knowing the key. This
 585   *  is done by negating the S value modulo the order of the curve, 'flipping'
 586   *  the sign of the random point R which is not included in the signature.
 587   *
 588   *  Forgery of the same message isn't universally problematic, but in systems
 589   *  where message malleability or uniqueness of signatures is important this can
 590   *  cause issues. This forgery can be blocked by all verifiers forcing signers
 591   *  to use a normalized form.
 592   *
 593   *  The lower-S form reduces the size of signatures slightly on average when
 594   *  variable length encodings (such as DER) are used and is cheap to verify,
 595   *  making it a good choice. Security of always using lower-S is assured because
 596   *  anyone can trivially modify a signature after the fact to enforce this
 597   *  property anyway.
 598   *
 599   *  The lower S value is always between 0x1 and
 600   *  0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0,
 601   *  inclusive.
 602   *
 603   *  No other forms of ECDSA malleability are known and none seem likely, but
 604   *  there is no formal proof that ECDSA, even with this additional restriction,
 605   *  is free of other malleability. Commonly used serialization schemes will also
 606   *  accept various non-unique encodings, so care should be taken when this
 607   *  property is required for an application.
 608   *
 609   *  The secp256k1_ecdsa_sign function will by default create signatures in the
 610   *  lower-S form, and secp256k1_ecdsa_verify will not accept others. In case
 611   *  signatures come from a system that cannot enforce this property,
 612   *  secp256k1_ecdsa_signature_normalize must be called before verification.
 613   */
 614  SECP256K1_API int secp256k1_ecdsa_signature_normalize(
 615      const secp256k1_context *ctx,
 616      secp256k1_ecdsa_signature *sigout,
 617      const secp256k1_ecdsa_signature *sigin
 618  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(3);
 619  
 620  /** An implementation of RFC6979 (using HMAC-SHA256) as nonce generation function.
 621   * If a data pointer is passed, it is assumed to be a pointer to 32 bytes of
 622   * extra entropy.
 623   */
 624  SECP256K1_API const secp256k1_nonce_function secp256k1_nonce_function_rfc6979;
 625  
 626  /** A default safe nonce generation function (currently equal to secp256k1_nonce_function_rfc6979). */
 627  SECP256K1_API const secp256k1_nonce_function secp256k1_nonce_function_default;
 628  
 629  /** Create an ECDSA signature.
 630   *
 631   *  Returns: 1: signature created
 632   *           0: the nonce generation function failed, or the secret key was invalid.
 633   *  Args:    ctx:       pointer to a context object (not secp256k1_context_static).
 634   *  Out:     sig:       pointer to an array where the signature will be placed.
 635   *  In:      msghash32: the 32-byte message hash being signed.
 636   *           seckey:    pointer to a 32-byte secret key.
 637   *           noncefp:   pointer to a nonce generation function. If NULL,
 638   *                      secp256k1_nonce_function_default is used.
 639   *           ndata:     pointer to arbitrary data used by the nonce generation function
 640   *                      (can be NULL). If it is non-NULL and
 641   *                      secp256k1_nonce_function_default is used, then ndata must be a
 642   *                      pointer to 32-bytes of additional data.
 643   *
 644   * The created signature is always in lower-S form. See
 645   * secp256k1_ecdsa_signature_normalize for more details.
 646   */
 647  SECP256K1_API int secp256k1_ecdsa_sign(
 648      const secp256k1_context *ctx,
 649      secp256k1_ecdsa_signature *sig,
 650      const unsigned char *msghash32,
 651      const unsigned char *seckey,
 652      secp256k1_nonce_function noncefp,
 653      const void *ndata
 654  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
 655  
 656  /** Verify an elliptic curve secret key.
 657   *
 658   *  A secret key is valid if it is not 0 and less than the secp256k1 curve order
 659   *  when interpreted as an integer (most significant byte first). The
 660   *  probability of choosing a 32-byte string uniformly at random which is an
 661   *  invalid secret key is negligible. However, if it does happen it should
 662   *  be assumed that the randomness source is severely broken and there should
 663   *  be no retry.
 664   *
 665   *  Returns: 1: secret key is valid
 666   *           0: secret key is invalid
 667   *  Args:    ctx: pointer to a context object.
 668   *  In:      seckey: pointer to a 32-byte secret key.
 669   */
 670  SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_verify(
 671      const secp256k1_context *ctx,
 672      const unsigned char *seckey
 673  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2);
 674  
 675  /** Compute the public key for a secret key.
 676   *
 677   *  Returns: 1: secret was valid, public key stores.
 678   *           0: secret was invalid, try again.
 679   *  Args:    ctx:    pointer to a context object (not secp256k1_context_static).
 680   *  Out:     pubkey: pointer to the created public key.
 681   *  In:      seckey: pointer to a 32-byte secret key.
 682   */
 683  SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_create(
 684      const secp256k1_context *ctx,
 685      secp256k1_pubkey *pubkey,
 686      const unsigned char *seckey
 687  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 688  
 689  /** Negates a secret key in place.
 690   *
 691   *  Returns: 0 if the given secret key is invalid according to
 692   *           secp256k1_ec_seckey_verify. 1 otherwise
 693   *  Args:   ctx:    pointer to a context object
 694   *  In/Out: seckey: pointer to the 32-byte secret key to be negated. If the
 695   *                  secret key is invalid according to
 696   *                  secp256k1_ec_seckey_verify, this function returns 0 and
 697   *                  seckey will be set to some unspecified value.
 698   */
 699  SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_negate(
 700      const secp256k1_context *ctx,
 701      unsigned char *seckey
 702  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2);
 703  
 704  /** Same as secp256k1_ec_seckey_negate, but DEPRECATED. Will be removed in
 705   *  future versions. */
 706  SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_negate(
 707      const secp256k1_context *ctx,
 708      unsigned char *seckey
 709  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2)
 710    SECP256K1_DEPRECATED("Use secp256k1_ec_seckey_negate instead");
 711  
 712  /** Negates a public key in place.
 713   *
 714   *  Returns: 1 always
 715   *  Args:   ctx:        pointer to a context object
 716   *  In/Out: pubkey:     pointer to the public key to be negated.
 717   */
 718  SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_negate(
 719      const secp256k1_context *ctx,
 720      secp256k1_pubkey *pubkey
 721  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2);
 722  
 723  /** Tweak a secret key by adding tweak to it.
 724   *
 725   *  Returns: 0 if the arguments are invalid or the resulting secret key would be
 726   *           invalid (only when the tweak is the negation of the secret key). 1
 727   *           otherwise.
 728   *  Args:    ctx:   pointer to a context object.
 729   *  In/Out: seckey: pointer to a 32-byte secret key. If the secret key is
 730   *                  invalid according to secp256k1_ec_seckey_verify, this
 731   *                  function returns 0. seckey will be set to some unspecified
 732   *                  value if this function returns 0.
 733   *  In:    tweak32: pointer to a 32-byte tweak, which must be valid according to
 734   *                  secp256k1_ec_seckey_verify or 32 zero bytes. For uniformly
 735   *                  random 32-byte tweaks, the chance of being invalid is
 736   *                  negligible (around 1 in 2^128).
 737   */
 738  SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_tweak_add(
 739      const secp256k1_context *ctx,
 740      unsigned char *seckey,
 741      const unsigned char *tweak32
 742  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 743  
 744  /** Same as secp256k1_ec_seckey_tweak_add, but DEPRECATED. Will be removed in
 745   *  future versions. */
 746  SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_add(
 747      const secp256k1_context *ctx,
 748      unsigned char *seckey,
 749      const unsigned char *tweak32
 750  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3)
 751    SECP256K1_DEPRECATED("Use secp256k1_ec_seckey_tweak_add instead");
 752  
 753  /** Tweak a public key by adding tweak times the generator to it.
 754   *
 755   *  Returns: 0 if the arguments are invalid or the resulting public key would be
 756   *           invalid (only when the tweak is the negation of the corresponding
 757   *           secret key). 1 otherwise.
 758   *  Args:    ctx:   pointer to a context object.
 759   *  In/Out: pubkey: pointer to a public key object. pubkey will be set to an
 760   *                  invalid value if this function returns 0.
 761   *  In:    tweak32: pointer to a 32-byte tweak, which must be valid according to
 762   *                  secp256k1_ec_seckey_verify or 32 zero bytes. For uniformly
 763   *                  random 32-byte tweaks, the chance of being invalid is
 764   *                  negligible (around 1 in 2^128).
 765   */
 766  SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_tweak_add(
 767      const secp256k1_context *ctx,
 768      secp256k1_pubkey *pubkey,
 769      const unsigned char *tweak32
 770  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 771  
 772  /** Tweak a secret key by multiplying it by a tweak.
 773   *
 774   *  Returns: 0 if the arguments are invalid. 1 otherwise.
 775   *  Args:   ctx:    pointer to a context object.
 776   *  In/Out: seckey: pointer to a 32-byte secret key. If the secret key is
 777   *                  invalid according to secp256k1_ec_seckey_verify, this
 778   *                  function returns 0. seckey will be set to some unspecified
 779   *                  value if this function returns 0.
 780   *  In:    tweak32: pointer to a 32-byte tweak. If the tweak is invalid according to
 781   *                  secp256k1_ec_seckey_verify, this function returns 0. For
 782   *                  uniformly random 32-byte arrays the chance of being invalid
 783   *                  is negligible (around 1 in 2^128).
 784   */
 785  SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_tweak_mul(
 786      const secp256k1_context *ctx,
 787      unsigned char *seckey,
 788      const unsigned char *tweak32
 789  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 790  
 791  /** Same as secp256k1_ec_seckey_tweak_mul, but DEPRECATED. Will be removed in
 792   *  future versions. */
 793  SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_mul(
 794      const secp256k1_context *ctx,
 795      unsigned char *seckey,
 796      const unsigned char *tweak32
 797  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3)
 798    SECP256K1_DEPRECATED("Use secp256k1_ec_seckey_tweak_mul instead");
 799  
 800  /** Tweak a public key by multiplying it by a tweak value.
 801   *
 802   *  Returns: 0 if the arguments are invalid. 1 otherwise.
 803   *  Args:    ctx:   pointer to a context object.
 804   *  In/Out: pubkey: pointer to a public key object. pubkey will be set to an
 805   *                  invalid value if this function returns 0.
 806   *  In:    tweak32: pointer to a 32-byte tweak. If the tweak is invalid according to
 807   *                  secp256k1_ec_seckey_verify, this function returns 0. For
 808   *                  uniformly random 32-byte arrays the chance of being invalid
 809   *                  is negligible (around 1 in 2^128).
 810   */
 811  SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_tweak_mul(
 812      const secp256k1_context *ctx,
 813      secp256k1_pubkey *pubkey,
 814      const unsigned char *tweak32
 815  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 816  
 817  /** Randomizes the context to provide enhanced protection against side-channel leakage.
 818   *
 819   *  Returns: 1: randomization successful
 820   *           0: error
 821   *  Args:    ctx:       pointer to a context object (not secp256k1_context_static).
 822   *  In:      seed32:    pointer to a 32-byte random seed (NULL resets to initial state).
 823   *
 824   * While secp256k1 code is written and tested to be constant-time no matter what
 825   * secret values are, it is possible that a compiler may output code which is not,
 826   * and also that the CPU may not emit the same radio frequencies or draw the same
 827   * amount of power for all values. Randomization of the context shields against
 828   * side-channel observations which aim to exploit secret-dependent behaviour in
 829   * certain computations which involve secret keys.
 830   *
 831   * It is highly recommended to call this function on contexts returned from
 832   * secp256k1_context_create or secp256k1_context_clone (or from the corresponding
 833   * functions in secp256k1_preallocated.h) before using these contexts to call API
 834   * functions that perform computations involving secret keys, e.g., signing and
 835   * public key generation. It is possible to call this function more than once on
 836   * the same context, and doing so before every few computations involving secret
 837   * keys is recommended as a defense-in-depth measure. Randomization of the static
 838   * context secp256k1_context_static is not supported.
 839   *
 840   * Currently, the random seed is mainly used for blinding multiplications of a
 841   * secret scalar with the elliptic curve base point. Multiplications of this
 842   * kind are performed by exactly those API functions which are documented to
 843   * require a context that is not secp256k1_context_static. As a rule of thumb,
 844   * these are all functions which take a secret key (or a keypair) as an input.
 845   * A notable exception to that rule is the ECDH module, which relies on a different
 846   * kind of elliptic curve point multiplication and thus does not benefit from
 847   * enhanced protection against side-channel leakage currently.
 848   */
 849  SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_context_randomize(
 850      secp256k1_context *ctx,
 851      const unsigned char *seed32
 852  ) SECP256K1_ARG_NONNULL(1);
 853  
 854  /** Add a number of public keys together.
 855   *
 856   *  Returns: 1: the sum of the public keys is valid.
 857   *           0: the sum of the public keys is not valid.
 858   *  Args:   ctx:        pointer to a context object.
 859   *  Out:    out:        pointer to a public key object for placing the resulting public key.
 860   *  In:     ins:        pointer to array of pointers to public keys.
 861   *          n:          the number of public keys to add together (must be at least 1).
 862   */
 863  SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_combine(
 864      const secp256k1_context *ctx,
 865      secp256k1_pubkey *out,
 866      const secp256k1_pubkey * const *ins,
 867      size_t n
 868  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 869  
 870  /** Compute a tagged hash as defined in BIP-340.
 871   *
 872   *  This is useful for creating a message hash and achieving domain separation
 873   *  through an application-specific tag. This function returns
 874   *  SHA256(SHA256(tag)||SHA256(tag)||msg). Therefore, tagged hash
 875   *  implementations optimized for a specific tag can precompute the SHA256 state
 876   *  after hashing the tag hashes.
 877   *
 878   *  Returns: 1 always.
 879   *  Args:    ctx: pointer to a context object
 880   *  Out:  hash32: pointer to a 32-byte array to store the resulting hash
 881   *  In:      tag: pointer to an array containing the tag
 882   *        taglen: length of the tag array
 883   *           msg: pointer to an array containing the message
 884   *        msglen: length of the message array
 885   */
 886  SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_tagged_sha256(
 887      const secp256k1_context *ctx,
 888      unsigned char *hash32,
 889      const unsigned char *tag,
 890      size_t taglen,
 891      const unsigned char *msg,
 892      size_t msglen
 893  ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(5);
 894  
 895  #ifdef __cplusplus
 896  }
 897  #endif
 898  
 899  #endif /* SECP256K1_H */
 900