silentpayments: receiving

Add routine for scanning a transaction and returning the necessary
spending data for any found outputs. This function works with labels via
a lookup callback and requires access to the transaction outputs.
Requiring access to the transaction outputs is not suitable for light
clients, but light client support is enabled by exposing the
`_create_shared_secret` and `_create_output_pubkey` functions in the
API. This means the light client will need to manage their own scanning
state, so wherever possible it is preferrable to use the
`_recipient_scan_ouputs` function.

Add an opaque data type for passing around the summed input public key (A_sum)
and the input hash tweak (input_hash). This data is passed to the scanner
before the ECDH step as two separate elements so that the scanner can
multiply b_scan * input_hash before doing ECDH.

Add functions for deserializing / serializing a public_data object to
and from a public key. When serializing a public_data object, the
input_hash is multplied into A_sum. This is so the object can be stored
as public key for wallet rescanning later, or to vend to light clients.
For the light client, a `_parse` function is added which parses the
compressed public key serialization into a `public_data` object.

Finally, add test coverage for the recieiving API.

include/secp256k1_silentpayments.h

@@ -158,6 +158,247 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_silentpayments_recipien
     const secp256k1_pubkey *label
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
 
+/** Opaque data structure that holds silent payments public input data.
+ *
+ *  This structure does not contain secret data. Guaranteed to be 98 bytes in
+ *  size. It can be safely copied/moved. Created with
+ *  `secp256k1_silentpayments_public_data_create`. Can be serialized as a
+ *  compressed public key using
+ *  `secp256k1_silentpayments_public_data_serialize`. The serialization is
+ *  intended for sending the public input data to light clients. Light clients
+ *  can use this serialization with
+ *  `secp256k1_silentpayments_public_data_parse`.
+ */
+typedef struct {
+    unsigned char data[98];
+} secp256k1_silentpayments_public_data;
+
+/** Compute Silent Payment public data from input public keys and transaction
+ * inputs.
+ *
+ *  Given a list of n public keys A_1...A_n (one for each silent payment
+ *  eligible input to spend) and a serialized outpoint_smallest, create a
+ *  `public_data` object. This object summarizes the public data from the
+ *  transaction inputs needed for scanning.
+ *
+ *  `outpoint_smallest36` refers to the smallest outpoint lexicographically
+ *  from the transaction inputs (both silent payments eligible and non-eligible
+ *  inputs). This value MUST be the smallest outpoint out of all of the
+ *  transaction inputs, otherwise the recipient will be unable to find the the
+ *  payment.
+ *
+ *  The public keys have to be passed in via two different parameter pairs, one
+ *  for regular and one for x-only public keys, in order to avoid the need of
+ *  users converting to a common pubkey format before calling this function.
+ *  The resulting data can be used for scanning on the recipient side, or
+ *  stored in an index for later use (e.g. wallet rescanning, vending data to
+ *  light clients).
+ *
+ *  If calling this function for simply aggregating the public transaction data
+ *  for later use, the caller can save the result with
+ *  `silentpayments_public_data_serialize`.
+ *
+ *  Returns: 1 if tweak data creation was successful. 0 if an error occured.
+ *  Args:                 ctx: pointer to a context object
+ *  Out:          public_data: pointer to public_data object containing the
+ *                             summed public key and input_hash.
+ *  In:   outpoint_smallest36: serialized smallest outpoint (lexicographically)
+ *                             from the transaction inputs
+ *              xonly_pubkeys: pointer to an array of pointers to taproot
+ *                             x-only public keys (can be NULL if no taproot
+ *                             inputs are used)
+ *            n_xonly_pubkeys: the number of taproot input public keys
+ *              plain_pubkeys: pointer to an array of pointers to non-taproot
+ *                             public keys (can be NULL if no non-taproot
+ *                             inputs are used)
+ *            n_plain_pubkeys: the number of non-taproot input public keys
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_silentpayments_recipient_public_data_create(
+    const secp256k1_context *ctx,
+    secp256k1_silentpayments_public_data *public_data,
+    const unsigned char *outpoint_smallest36,
+    const secp256k1_xonly_pubkey * const *xonly_pubkeys,
+    size_t n_xonly_pubkeys,
+    const secp256k1_pubkey * const *plain_pubkeys,
+    size_t n_plain_pubkeys
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
+/** Serialize a silentpayments_public_data object into a 33-byte sequence.
+ *
+ *  Returns: 1 always.
+ *
+ *  Args:         ctx: pointer to a context object
+ *  Out:     output33: pointer to a 33-byte array to place the serialized
+ *                     `silentpayments_public_data` in
+ *  In:   public_data: pointer to an initialized silentpayments_public_data
+ *                     object
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_silentpayments_recipient_public_data_serialize(
+    const secp256k1_context *ctx,
+    unsigned char *output33,
+    const secp256k1_silentpayments_public_data *public_data
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
+/** Parse a 33-byte sequence into a silent_payments_public_data object.
+ *
+ *  Returns: 1 if the data was able to be parsed. 
+ *           0 if the sequence is invalid (e.g. does not represent a valid
+ *           public key).
+ *
+ *  Args:         ctx: pointer to a context object.
+ *  Out:  public_data: pointer to a silentpayments_public_data object. If 1 is
+ *                     returned, it is set to a parsed version of input33.
+ *  In:       input33: pointer to a serialized silentpayments_public_data.
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_silentpayments_recipient_public_data_parse(
+    const secp256k1_context *ctx,
+    secp256k1_silentpayments_public_data *public_data,
+    const unsigned char *input33
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
+/** Callback function for label lookups
+ *
+ *  This function is implemented by the recipient to check if a value exists in
+ *  the recipients label cache during scanning.
+ *
+ *  Returns: pointer to the 32-byte label tweak if there is a match.
+ *           NULL pointer if there is no match.
+ *
+ *  In:         label: pointer to the label value to check (computed during
+ *                     scanning)
+ *      label_context: pointer to the recipients label cache.
+ */
+typedef const unsigned char* (*secp256k1_silentpayments_label_lookup)(const unsigned char* label33, const void* label_context);
+
+/** Found outputs struct
+ *
+ *  Struct for holding a found output along with data needed to spend it later.
+ *
+ *            output: the x-only public key for the taproot output
+ *             tweak: the 32-byte tweak needed to spend the output
+ *  found_with_label: boolean value to indicate if the output was sent to a
+ *                    labelled address. If true, label will be set with a valid
+ *                    public key.
+ *             label: public key representing the label used.
+ *                    If found_with_label = false, this is set to an invalid
+ *                    public key.
+ */
+typedef struct {
+    secp256k1_xonly_pubkey output;
+    unsigned char tweak[32];
+    int found_with_label;
+    secp256k1_pubkey label;
+} secp256k1_silentpayments_found_output;
+
+/** Scan for Silent Payment transaction outputs.
+ *
+ *  Given a input public sum, an input_hash, a recipient's spend public key
+ *  B_spend, and the relevant transaction outputs, scan for outputs belonging to
+ *  the recipient and return the tweak(s) needed for spending the output(s). An
+ *  optional label_lookup callback function and label_context can be passed if
+ *  the recipient uses labels. This allows for checking if a label exists in
+ *  the recipients label cache and retrieving the label tweak during scanning.
+ *
+ *  Returns: 1 if output scanning was successful.
+ *           0 if an error occured.
+ *
+ *  Args:                   ctx: pointer to a context object
+ *  Out:          found_outputs: pointer to an array of pointers to found
+ *                               output objects. The found outputs array MUST
+ *                               be initialized to be the same length as the
+ *                               tx_outputs array
+ *              n_found_outputs: pointer to an integer indicating the final
+ *                               size of the found outputs array. This number
+ *                               represents the number of outputs found while
+ *                               scanning (0 if none are found)
+ *  In:              tx_outputs: pointer to the tx's x-only public key outputs
+ *                 n_tx_outputs: the number of tx_outputs being scanned
+ *           recipient_scan_key: pointer to the recipient's scan key
+ *                  public_data: pointer to the input public key sum
+ *                               (optionally, with the `input_hash` multiplied
+ *                               in, see `_recipient_public_data_create`).
+ *       recipient_spend_pubkey: pointer to the recipient's spend pubkey
+ *                 label_lookup: pointer to a callback function for looking up
+ *                               a label value. This function takes a label
+ *                               pubkey as an argument and returns a pointer to
+ *                               the label tweak if the label exists, otherwise
+ *                               returns a nullptr (NULL if labels are not
+ *                               used)
+ *                label_context: pointer to a label context object (NULL if
+ *                               labels are not used)
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_silentpayments_recipient_scan_outputs(
+    const secp256k1_context *ctx,
+    secp256k1_silentpayments_found_output **found_outputs,
+    size_t *n_found_outputs,
+    const secp256k1_xonly_pubkey * const *tx_outputs,
+    size_t n_tx_outputs,
+    const unsigned char *recipient_scan_key,
+    const secp256k1_silentpayments_public_data *public_data,
+    const secp256k1_pubkey *recipient_spend_pubkey,
+    const secp256k1_silentpayments_label_lookup label_lookup,
+    const void *label_context
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4)
+    SECP256K1_ARG_NONNULL(6) SECP256K1_ARG_NONNULL(7) SECP256K1_ARG_NONNULL(8);
+
+/** Create Silent Payment shared secret.
+ *
+ *  Given the public input data (secp256k1_silentpayments_public_data),
+ *  calculate the shared secret.
+ *
+ *  The resulting shared secret is needed as input for creating silent payments
+ *  outputs belonging to the same recipient scan public key. This function is
+ *  intended for light clients, i.e., scenarios where the caller does not have
+ *  access to the full transaction. If the caller does have access to the full
+ *  transaction, `secp256k1_silentpayments_recipient_scan_outputs` should be
+ *  used instead.
+ *
+ *  Returns: 1 if shared secret creation was successful. 0 if an error occured.
+ *  Args:                  ctx: pointer to a context object
+ *  Out:       shared_secret33: pointer to the resulting 33-byte shared secret
+ *  In:     recipient_scan_key: pointer to the recipient's scan key
+ *                 public_data: pointer to the input public key sum, tweaked
+ *                              with the input_hash (see
+ *                              `_recipient_public_data_create`)
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_silentpayments_recipient_create_shared_secret(
+    const secp256k1_context *ctx,
+    unsigned char *shared_secret33,
+    const unsigned char *recipient_scan_key,
+    const secp256k1_silentpayments_public_data *public_data
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
+
+/** Create Silent Payment output public key.
+ *
+ *  Given a shared_secret, a public key B_spend, and an output counter k,
+ *  create an output public key.
+ *
+ *  This function is used by the recipient when scanning for outputs without
+ *  access to the transaction outputs (e.g. using BIP158 block filters). When
+ *  scanning with this function, it is the scanners responsibility to determine
+ *  if the generated output exists in a block before proceeding to the next
+ *  value of `k`.
+ *
+ *  Returns: 1 if output creation was successful. 0 if an error occured.
+ *  Args:                   ctx: pointer to a context object
+ *  Out:         P_output_xonly: pointer to the resulting output x-only pubkey
+ *  In:         shared_secret33: shared secret, derived from either sender's
+ *                               or recipient's perspective with routines from
+ *                               above
+ *       recipient_spend_pubkey: pointer to the recipient's spend pubkey
+ *                               (labelled or unlabelled)
+ *                            k: output counter (initially set to 0, must be
+ *                               incremented for each additional output created
+ *                               or after each output found when scanning)
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_silentpayments_recipient_create_output_pubkey(
+    const secp256k1_context *ctx,
+    secp256k1_xonly_pubkey *P_output_xonly,
+    const unsigned char *shared_secret33,
+    const secp256k1_pubkey *recipient_spend_pubkey,
+    unsigned int k
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
+
 #ifdef __cplusplus
 }
 #endif