[Wallet/Mint] DLEQ proofs (#175)

* produce dleq

* start working on verification

* wip dleq

* Use C_ instead of C in verify DLEQ! (#176)

* Fix comments (DLEQ sign error)
* Fix alice_verify_dleq in d_dhke.py
* Fix_generate_promise in ledger.py
* Fix verify_proofs_dleq in wallet.py

* Fix: invalid public key (#182)

* Use C_ instead of C in verify DLEQ!

* Fix comments (DLEQ sign error)
* Fix alice_verify_dleq in d_dhke.py
* Fix_generate_promise in ledger.py
* Fix verify_proofs_dleq in wallet.py

* Fix: invalid public key

* Exception: Mint Error: invalid public key

* Update cashu/wallet/wallet.py

---------

Co-authored-by: calle <93376500+callebtc@users.noreply.github.com>

* Update cashu/core/b_dhke.py

* Update tests/test_cli.py

* verify all constructed proofs

* dleq upon receive

* serialize without dleq

* all tests passing

* make format

* remove print

* remove debug

* option to send with dleq

* add tests

* fix test

* deterministic p in step2_dleq and fix mypy error for hash_to_curve

* test crypto/hash_e and crypto/step2_bob_dleq

* rename A to K in b_dhke.py and test_alice_verify_dleq

* rename tests

* make format

* store dleq in mint db (and readd balance view)

* remove `r` from dleq in tests

* add pending output

* make format

* works with pre-dleq mints

* fix comments

* make format

* fix some tests

* fix last test

* test serialize dleq fix

* flake

* flake

* keyset.id must be str

* fix test decorators

* start removing the duplicate fields from the dleq

* format

* remove print

* cleanup

* add type anotations to dleq functions

* remove unnecessary fields from BlindedSignature

* tests not working yet

* spelling mistakes

* spelling mistakes

* fix more spelling mistakes

* revert to normal

* add comments

* bdhke: generalize hash_e

* remove P2PKSecret changes

* revert tests for P2PKSecret

* revert tests

* revert test fully

* revert p2pksecret changes

* refactor proof invalidation

* store dleq proofs in wallet db

* make mypy happy

---------

Co-authored-by: moonsettler <moonsettler@protonmail.com>

cashu/wallet/helpers.py

@@ -160,7 +160,13 @@ async def receive(
 
 
 async def send(
-    wallet: Wallet, amount: int, lock: str, legacy: bool, split: bool = True
+    wallet: Wallet,
+    *,
+    amount: int,
+    lock: str,
+    legacy: bool,
+    split: bool = True,
+    include_dleq: bool = False,
 ):
     """
     Prints token to send to stdout.
@@ -207,14 +213,14 @@ async def send(
             "No proof with this amount found. Available amounts:"
             f" {set([p.amount for p in wallet.proofs])}"
         )
-        await wallet.set_reserved(send_proofs, reserved=True)
 
     token = await wallet.serialize_proofs(
         send_proofs,
         include_mints=True,
+        include_dleq=include_dleq,
     )
     print(token)
-
+    await wallet.set_reserved(send_proofs, reserved=True)
     if legacy:
         print("")
         print("Old token format:")
@@ -222,6 +228,7 @@ async def send(
         token = await wallet.serialize_proofs(
             send_proofs,
             legacy=True,
+            include_dleq=include_dleq,
         )
         print(token)