[WIP] Handle exponents (#1497)

* Handle exponents

* Bruteforce enumerate constraints

* Fix evm tests

* Fix imports

* Fix z3 version to avoid exception

* Fix z3 version to avoid exception

* Fix z3 version

* Fix z3 version

* Hunt the issue

* Hunt the issue

* Hunt the issue

* Hunt the issue

* Hunt the issue

* Fix issue

* Fix issue

* Add tests

* Black

* Fix issue

* Fix issue with disassembler test

* Fix issue with disassembler test

mythril/analysis/module/modules/ether_thief.py

@@ -76,7 +76,6 @@ class EtherThief(DetectionModule):
             # Pre-solve so we only add potential issues if the attacker's balance is increased.
 
             solver.get_model(constraints)
-
             potential_issue = PotentialIssue(
                 contract=state.environment.active_account.contract_name,
                 function_name=state.environment.active_function_name,

mythril/analysis/solver.py

@@ -1,22 +1,24 @@
 """This module contains analysis module helpers to solve path constraints."""
+import logging
 from typing import Dict, List, Tuple, Union
-from z3 import FuncInterp
+
 import z3
+from z3 import FuncInterp
 
-from mythril.support.model import get_model
+from mythril.exceptions import UnsatError
-from mythril.laser.ethereum.state.global_state import GlobalState
+from mythril.laser.ethereum.function_managers import (
-from mythril.laser.ethereum.state.constraints import Constraints
+    exponent_function_manager,
-from mythril.laser.ethereum.keccak_function_manager import (
     keccak_function_manager,
-    hash_matcher,
 )
+
+from mythril.laser.ethereum.state.constraints import Constraints
+from mythril.laser.ethereum.state.global_state import GlobalState
 from mythril.laser.ethereum.transaction import BaseTransaction
-from mythril.laser.smt import UGE, symbol_factory
-from mythril.exceptions import UnsatError
 from mythril.laser.ethereum.transaction.transaction_models import (
     ContractCreationTransaction,
 )
-import logging
+from mythril.laser.smt import UGE, symbol_factory
+from mythril.support.model import get_model
 
 log = logging.getLogger(__name__)
 
@@ -65,7 +67,6 @@ def get_transaction_sequence(
         model = get_model(tx_constraints, minimize=minimize)
     except UnsatError:
         raise UnsatError
-
     # Include creation account in initial state
     # Note: This contains the code, which should not exist until after the first tx
     initial_world_state = transaction_sequence[0].world_state
@@ -121,7 +122,7 @@ def _replace_with_actual_sha(
 ):
     concrete_hashes = keccak_function_manager.get_concrete_hash_data(model)
     for tx in concrete_transactions:
-        if hash_matcher not in tx["input"]:
+        if keccak_function_manager.hash_matcher not in tx["input"]:
             continue
         if code is not None and code.bytecode in tx["input"]:
             s_index = len(code.bytecode) + 2
@@ -129,7 +130,10 @@ def _replace_with_actual_sha(
             s_index = 10
         for i in range(s_index, len(tx["input"])):
             data_slice = tx["input"][i : i + 64]
-            if hash_matcher not in data_slice or len(data_slice) != 64:
+            if (
+                keccak_function_manager.hash_matcher not in data_slice
+                or len(data_slice) != 64
+            ):
                 continue
             find_input = symbol_factory.BitVecVal(int(data_slice, 16), 256)
             input_ = None

mythril/laser/ethereum/function_managers/__init__.py

@@ -0,0 +1,2 @@
+from .exponent_function_manager import exponent_function_manager
+from .keccak_function_manager import keccak_function_manager

mythril/laser/ethereum/function_managers/exponent_function_manager.py

@@ -0,0 +1,74 @@
+import logging
+from typing import Dict, List, Optional, Tuple
+
+from ethereum import utils
+
+from mythril.laser.smt import (
+    And,
+    BitVec,
+    Bool,
+    Function,
+    URem,
+    symbol_factory,
+)
+
+log = logging.getLogger(__name__)
+
+
+class ExponentFunctionManager:
+    """
+    Uses an uninterpreted function for exponentiation with the following properties:
+    1) power(a, b) > 0
+    2) if a = 256 => forall i if b = i then power(a, b) = (256 ^ i) % (2^256)
+    
+    Only these two properties are added as to handle indexing of boolean arrays.
+    Caution should be exercised when increasing the conditions since it severely affects
+    the solving time.
+    """
+
+    def __init__(self):
+        power = Function("Power", [256, 256], 256)
+        NUMBER_256 = symbol_factory.BitVecVal(256, 256)
+        self.concrete_constraints = And(
+            *[
+                power(NUMBER_256, symbol_factory.BitVecVal(i, 256))
+                == symbol_factory.BitVecVal(256 ** i, 256)
+                for i in range(0, 32)
+            ]
+        )
+        self.concrete_constraints_sent = False
+
+    def create_condition(self, base: BitVec, exponent: BitVec) -> Tuple[BitVec, Bool]:
+        """
+        Creates a condition for exponentiation
+        :param base: The base of exponentiation
+        :param exponent: The exponent of the exponentiation
+        :return: Tuple of condition and the exponentiation result
+        """
+        power = Function("Power", [256, 256], 256)
+        exponentiation = power(base, exponent)
+
+        if exponent.symbolic is False and base.symbolic is False:
+            const_exponentiation = symbol_factory.BitVecVal(
+                pow(base.value, exponent.value, 2 ** 256),
+                256,
+                annotations=base.annotations.union(exponent.annotations),
+            )
+            constraint = const_exponentiation == exponentiation
+            return const_exponentiation, constraint
+
+        constraint = exponentiation > 0
+        if self.concrete_constraints_sent is False:
+            constraint = And(constraint, self.concrete_constraints)
+            self.concrete_constraints_sent = True
+        if base.value == 256:
+            constraint = And(
+                constraint,
+                power(base, URem(exponent, symbol_factory.BitVecVal(32, 256)))
+                == power(base, exponent),
+            )
+
+        return exponentiation, constraint
+
+
+exponent_function_manager = ExponentFunctionManager()

mythril/laser/ethereum/function_managers/keccak_function_manager.py

@@ -17,7 +17,6 @@ import logging
 TOTAL_PARTS = 10 ** 40
 PART = (2 ** 256 - 1) // TOTAL_PARTS
 INTERVAL_DIFFERENCE = 10 ** 30
-hash_matcher = "fffffff"  # This is usually the prefix for the hash in the output
 log = logging.getLogger(__name__)
 
 
@@ -32,6 +31,8 @@ class KeccakFunctionManager:
     For more info https://files.sri.inf.ethz.ch/website/papers/sp20-verx.pdf
     """
 
+    hash_matcher = "fffffff"  # This is usually the prefix for the hash in the output
+
     def __init__(self):
         self.store_function = {}  # type: Dict[int, Tuple[Function, Function]]
         self.interval_hook_for_size = {}  # type: Dict[int, int]
@@ -65,8 +66,8 @@ class KeccakFunctionManager:
         try:
             func, inverse = self.store_function[length]
         except KeyError:
-            func = Function("keccak256_{}".format(length), length, 256)
+            func = Function("keccak256_{}".format(length), [length], 256)
-            inverse = Function("keccak256_{}-1".format(length), 256, length)
+            inverse = Function("keccak256_{}-1".format(length), [256], length)
             self.store_function[length] = (func, inverse)
             self.hash_result_store[length] = []
         return func, inverse

mythril/laser/ethereum/instructions.py

@@ -8,6 +8,7 @@ from typing import cast, Callable, List, Union
 from mythril.laser.smt import (
     Extract,
     Expression,
+    Function,
     UDiv,
     simplify,
     Concat,
@@ -32,7 +33,11 @@ from mythril.laser.ethereum.state.calldata import ConcreteCalldata, SymbolicCall
 
 import mythril.laser.ethereum.util as helper
 from mythril.laser.ethereum import util
-from mythril.laser.ethereum.keccak_function_manager import keccak_function_manager
+from mythril.laser.ethereum.function_managers import (
+    keccak_function_manager,
+    exponent_function_manager,
+)
+
 from mythril.laser.ethereum.call import (
     get_call_parameters,
     native_call,
@@ -601,30 +606,11 @@ class Instruction:
         """
         state = global_state.mstate
         base, exponent = util.pop_bitvec(state), util.pop_bitvec(state)
-
+        exponentiation, constraint = exponent_function_manager.create_condition(
-        if base.symbolic or exponent.symbolic:
+            base, exponent
-
-            state.stack.append(
-                global_state.new_bitvec(
-                    "invhash("
-                    + str(hash(simplify(base)))
-                    + ")**invhash("
-                    + str(hash(simplify(exponent)))
-                    + ")",
-                    256,
-                    base.annotations.union(exponent.annotations),
-                )
-            )  # Hash is used because str(symbol) takes a long time to be converted to a string
-        else:
-
-            state.stack.append(
-                symbol_factory.BitVecVal(
-                    pow(base.value, exponent.value, 2 ** 256),
-                    256,
-                    annotations=base.annotations.union(exponent.annotations),
-                )
         )
-
+        state.stack.append(exponentiation)
+        global_state.world_state.constraints.append(constraint)
         return [global_state]
 
     @StateTransition()

mythril/laser/smt/function.py

@@ -1,4 +1,4 @@
-from typing import cast
+from typing import cast, List, Any, Set
 import z3
 
 from mythril.laser.smt.bitvec import BitVec
@@ -7,19 +7,23 @@ from mythril.laser.smt.bitvec import BitVec
 class Function:
     """An uninterpreted function."""
 
-    def __init__(self, name: str, domain: int, value_range: int):
+    def __init__(self, name: str, domain: List[int], value_range: int):
         """Initializes an uninterpreted function.
 
         :param name: Name of the Function
         :param domain: The domain for the Function (10 -> all the values that a bv of size 10 could take)
         :param value_range: The range for the values of the function (10 -> all the values that a bv of size 10 could take)
         """
-        self.domain = z3.BitVecSort(domain)
+        self.domain = []
+        for element in domain:
+            self.domain.append(z3.BitVecSort(element))
         self.range = z3.BitVecSort(value_range)
-        self.raw = z3.Function(name, self.domain, self.range)
+        self.raw = z3.Function(name, *self.domain, self.range)
 
-    def __call__(self, item: BitVec) -> BitVec:
+    def __call__(self, *items) -> BitVec:
         """Function accessor, item can be symbolic."""
+        annotations: Set[Any] = set().union(*[item.annotations for item in items])
         return BitVec(
-            cast(z3.BitVecRef, self.raw(item.raw)), annotations=item.annotations
+            cast(z3.BitVecRef, self.raw(*[item.raw for item in items])),
+            annotations=annotations,
         )

tests/disassembler_test.py

@@ -1,6 +1,7 @@
 from mythril.disassembler.disassembly import Disassembly
 from mythril.ethereum import util
 from tests import *
+import os
 
 
 class DisassemblerTestCase(BaseTestCase):
@@ -13,7 +14,9 @@ class DisassemblerTestCase(BaseTestCase):
         for input_file in TESTDATA_INPUTS.iterdir():
             output_expected = TESTDATA_OUTPUTS_EXPECTED / (input_file.name + ".easm")
             output_current = TESTDATA_OUTPUTS_CURRENT / (input_file.name + ".easm")
-
+            if os.path.isfile(output_current) is False:
+                # Ignore files which do not have output data
+                continue
             code = input_file.read_text()
             disassembly = Disassembly(code)
             output_current.write_text(disassembly.get_easm())

tests/integration_tests/analysis_tests.py

@@ -0,0 +1,33 @@
+import pytest
+import json
+import sys
+
+from subprocess import check_output
+from tests import PROJECT_DIR, TESTDATA
+
+MYTH = str(PROJECT_DIR / "myth")
+test_data = (
+    (
+        "flag_array.sol.o",
+        {
+            "TX_COUNT": 1,
+            "TX_OUTPUT": 1,
+            "MODULE": "EtherThief",
+            "ISSUE_COUNT": 1,
+            "ISSUE_NUMBER": 0,
+        },
+        "0xab12585800000000000000000000000000000000000000000000000000000000000004d2",
+    ),
+)
+
+
+@pytest.mark.parametrize("file_name, tx_data, calldata", test_data)
+def test_analysis(file_name, tx_data, calldata):
+    bytecode_file = str(TESTDATA / "inputs" / file_name)
+    command = f"""python3 {MYTH} analyze -f {bytecode_file} -t {tx_data["TX_COUNT"]} -o jsonv2 -m {tx_data["MODULE"]} --solver-timeout 60000"""
+    output = json.loads(check_output(command, shell=True).decode("UTF-8"))
+
+    assert len(output[0]["issues"]) == tx_data["ISSUE_COUNT"]
+    test_case = output[0]["issues"][tx_data["ISSUE_NUMBER"]]["extra"]["testCases"][0]
+    print(test_case["steps"])
+    assert test_case["steps"][tx_data["TX_OUTPUT"]]["input"] == calldata

tests/laser/evm_testsuite/evm_test.py

@@ -2,7 +2,7 @@ from mythril.laser.ethereum.svm import LaserEVM
 from mythril.laser.ethereum.state.account import Account
 from mythril.laser.ethereum.state.world_state import WorldState
 from mythril.laser.ethereum.time_handler import time_handler
-from mythril.laser.ethereum.keccak_function_manager import keccak_function_manager
+from mythril.laser.ethereum.function_managers import keccak_function_manager
 from mythril.disassembler.disassembly import Disassembly
 from mythril.laser.ethereum.transaction.concolic import execute_message_call
 from mythril.laser.smt import Expression, BitVec, symbol_factory

tests/laser/keccak_tests.py

@@ -1,5 +1,5 @@
 from mythril.laser.smt import Solver, symbol_factory, And
-from mythril.laser.ethereum.keccak_function_manager import keccak_function_manager
+from mythril.laser.ethereum.function_managers import keccak_function_manager
 import z3
 import pytest
 

tests/testdata/input_contracts/flag_array.sol

@@ -0,0 +1,17 @@
+pragma solidity ^0.8.0;
+
+contract BasicLiquidation {
+    bool[4096] _flags;
+    constructor() payable
+    {
+        require(msg.value == 0.1 ether);
+        _flags[1234] = true;
+    }
+    function extractMoney(uint256 idx) public payable
+    {
+        require(idx >= 0);
+        require(idx < 4096);
+        require(_flags[idx]);
+        payable(msg.sender).transfer(address(this).balance);
+    }
+}

tests/testdata/inputs/flag_array.sol.o

@@ -0,0 +1 @@
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