tests: add deterministic signing mode to ECDSA

This does the following:
* Adds a rfc6979 argument to test_framework/key.py's sign_ecdsa to
  select (deterministic) RFC6979-based nonce generation.
* Add a flag in feature_taproot.py's framework called "deterministic".
* Make the Schnorr signing in feature_taproot.py randomized by default,
  reverting to the old deterministic (aux_rnd=0x0000...00) behavior
  if the deterministic context flag is set.
* Make the ECDSA signing in feature_taproot.py use RFC6979-based nonces
  when the deterministic context flag is set (keeping the old randomized
  behavior otherwise).

test/functional/feature_taproot.py

@@ -253,14 +253,18 @@ def default_key_tweaked(ctx):
 def default_signature(ctx):
     """Default expression for "signature": BIP340 signature or ECDSA signature depending on mode."""
     sighash = get(ctx, "sighash")
+    deterministic = get(ctx, "deterministic")
     if get(ctx, "mode") == "taproot":
         key = get(ctx, "key_tweaked")
         flip_r = get(ctx, "flag_flip_r")
         flip_p = get(ctx, "flag_flip_p")
-        return sign_schnorr(key, sighash, flip_r=flip_r, flip_p=flip_p)
+        aux = bytes([0] * 32)
+        if not deterministic:
+            aux = random.getrandbits(256).to_bytes(32, 'big')
+        return sign_schnorr(key, sighash, flip_r=flip_r, flip_p=flip_p, aux=aux)
     else:
         key = get(ctx, "key")
-        return key.sign_ecdsa(sighash)
+        return key.sign_ecdsa(sighash, rfc6979=deterministic)
 
 def default_hashtype_actual(ctx):
     """Default expression for "hashtype_actual": hashtype, unless mismatching SIGHASH_SINGLE in taproot."""
@@ -392,6 +396,8 @@ DEFAULT_CONTEXT = {
     "leaf": None,
     # The input arguments to provide to the executed script
     "inputs": [],
+    # Use deterministic signing nonces
+    "deterministic": False,
 
     # == Parameters to be set before evaluation: ==
     # - mode: what spending style to use ("taproot", "witv0", or "legacy").

test/functional/test_framework/key.py

@@ -8,6 +8,7 @@ keys, and is trivially vulnerable to side channel attacks. Do not use for
 anything but tests."""
 import csv
 import hashlib
+import hmac
 import os
 import random
 import unittest
@@ -326,6 +327,16 @@ def generate_privkey():
     """Generate a valid random 32-byte private key."""
     return random.randrange(1, SECP256K1_ORDER).to_bytes(32, 'big')
 
+def rfc6979_nonce(key):
+    """Compute signing nonce using RFC6979."""
+    v = bytes([1] * 32)
+    k = bytes([0] * 32)
+    k = hmac.new(k, v + b"\x00" + key, 'sha256').digest()
+    v = hmac.new(k, v, 'sha256').digest()
+    k = hmac.new(k, v + b"\x01" + key, 'sha256').digest()
+    v = hmac.new(k, v, 'sha256').digest()
+    return hmac.new(k, v, 'sha256').digest()
+
 class ECKey():
     """A secp256k1 private key"""
 
@@ -368,15 +379,18 @@ class ECKey():
         ret.compressed = self.compressed
         return ret
 
-    def sign_ecdsa(self, msg, low_s=True):
+    def sign_ecdsa(self, msg, low_s=True, rfc6979=False):
         """Construct a DER-encoded ECDSA signature with this key.
 
         See https://en.wikipedia.org/wiki/Elliptic_Curve_Digital_Signature_Algorithm for the
         ECDSA signer algorithm."""
         assert(self.valid)
         z = int.from_bytes(msg, 'big')
-        # Note: no RFC6979, but a simple random nonce (some tests rely on distinct transactions for the same operation)
+        # Note: no RFC6979 by default, but a simple random nonce (some tests rely on distinct transactions for the same operation)
-        k = random.randrange(1, SECP256K1_ORDER)
+        if rfc6979:
+            k = int.from_bytes(rfc6979_nonce(self.secret.to_bytes(32, 'big') + msg), 'big')
+        else:
+            k = random.randrange(1, SECP256K1_ORDER)
         R = SECP256K1.affine(SECP256K1.mul([(SECP256K1_G, k)]))
         r = R[0] % SECP256K1_ORDER
         s = (modinv(k, SECP256K1_ORDER) * (z + self.secret * r)) % SECP256K1_ORDER