Fix connect.rs documentation

tests/connect.rs

@@ -24,29 +24,44 @@ use utils::*;
 wasm_bindgen_test_configure!(run_in_browser);
 
 #[wasm_bindgen_test]
-/// Tests the connection process between two devices, Alice and Bob, by executing a series of secure
-/// transactions to establish a shared secret for encrypted communication.
+/// Tests the connection process between two devices, Alice and Bob, by executing a secure
+/// transaction to establish a shared secret for encrypted communication.
+/// 
+/// The basics are that one device will initiate the process by sending a transaction that pays another device.
+/// The recipient of the transaction as soon as it finds it, can extract a shared secret and send an encrypted 
+/// message back. Upon receiving this message, the initiator answers with a similar message similarly encrypted.
+/// Upon receiving this message, the recipient can be assured that the communication is safe, and start using
+/// the secret to communicate.
+/// 
+/// The security of the shared secret rest on the soundness of the silent payment protocol for Bitcoin.
+/// In its encrypted response, the initiator adds a signature that is proof that it indeed controls the 
+/// private key for the silent payment address it announced, so recipient knows there's no mitm or impostor.
 ///
-/// # Process Summary
+/// # Detailed Process
 ///
-/// ## Alice's Initialization:
+/// ## Alice sends a transaction that pays Bob:
 /// - Alice initializes her device from an `sp_wallet` object and sets it as the local device.
 /// - She retrieves her own address and obtains Bob’s address.
-/// - Alice creates a new member using Bob’s address to identify him within the transaction.
-/// - She generates a connection transaction (`connect_tx`) targeting Bob's device, initiating the process for secure message sharing.
+/// - Alice creates a new member using Bob’s device address (this is mainly for testing purpose, 
+///   because `create_connection_transaction` would take members as argument).
+/// - She generates a connection transaction (`connect_tx`) targeting Bob's device.
 /// - Alice processes her own transaction and stores the derived shared secrets in `alice_secrets_store`,
-///   associating each shared secret with Bob's addresses.
+///   associating the shared secret with Bob's addresses.
 ///
-/// ## Bob's Initialization:
+/// ## Bob parses the transaction:
 /// - Bob initializes his device from his own `sp_wallet`.
-/// - He parses Alice’s connection transaction to retrieve the shared secret Alice created for him,
-///   then responds by sending an encrypted message back to Alice in a follow-up transaction.
-/// - Bob saves these derived shared secrets in `bob_secrets_store`.
+/// - He parses Alice’s connection transaction to retrieve the shared secret Alice created for him.
+/// - Bob saves these derived shared secrets in `bob_secrets_store` but can't index it with Alice's address yet.
 ///
-/// ## Message Exchange:
-/// - **Alice’s Response**: Alice receives and decrypts the message from Bob’s response transaction.
-/// - She replies to Bob by encrypting a confirmation message, updating her secrets in `alice_secrets_store`.
-/// - **Bob’s Confirmation**: Bob receives Alice’s confirmation message, decrypts it, and updates his secrets in `bob_secrets_store`.
+/// ## Prd Connect exchange
+/// - Bob then responds by sending a prd connect back to Alice encrypted with the shared secret.
+///   This prd is very simple and basically contains the following:
+///     * All Bob's devices addresses
+///     * a commitment to the shared secret
+///     * a proof signed with Bob's device spend key
+/// - Alice receives and decrypts the message from Bob.
+/// - She replies to Bob by encrypting another prd connect which is basically the same, but keeping Bob's proof and adding her own.
+/// - **Bob’s Confirmation**: Bob receives Alice’s confirmation message, decrypts it, and updates his secret in `bob_secrets_store`.
 ///
 /// ## Verification:
 /// - Finally, the function asserts that Alice and Bob now share the same secrets, confirming successful