Example #1
0
    def handle_call(self, op, trace):
        stack = self.stack

        gas = stack.pop()
        addr = stack.pop()
        if op == "call":
            wei = stack.pop()
        else:
            assert op == "staticcall"
            wei = 0

        arg_start = stack.pop()
        arg_len = stack.pop()
        ret_start = stack.pop()
        ret_len = stack.pop()

        if addr == 4:  # Identity

            m = mem_load(arg_start, arg_len)
            trace(("setmem", ("range", ret_start, arg_len), m))

            stack.append("memcopy.success")

        elif type(addr) == int and addr in precompiled:

            m = mem_load(arg_start, arg_len)
            args = mem_load(arg_start, arg_len)
            var_name = precompiled_var_names[addr]

            trace(("precompiled", var_name, precompiled[addr], args))
            trace(("setmem", ("range", ret_start, ret_len), ("var", var_name)))

            stack.append("{}.result".format(precompiled[addr]))

        else:
            assert op in ("call", "staticcall")
            call_trace = (
                op,
                gas,
                addr,
                wei,
            )

            if arg_len == 0:
                call_trace += None, None

            elif arg_len == 4:

                call_trace += mem_load(arg_start, 4), None

            else:
                fname = mem_load(arg_start, 4)
                fparams = mem_load(add_op(arg_start, 4), sub_op(arg_len, 4))
                call_trace += fname, fparams

            trace(call_trace)
            #           trace(('comment', mem_load(arg_start, arg_len)))

            self.call_len = ret_len

            stack.append("ext_call.success")

            if lt_op(0, ret_len):
                return_data = ("ext_call.return_data", 0, ret_len)
                trace(("setmem", ("range", ret_start, ret_len), return_data))
Example #2
0
    def apply_stack(self, ret, line):

        def trace(exp, *format_args):
            if '--verbose' in sys.argv: # otherwise breaks sometimes, e.g. 0x00a159d41a5bc12dce2f8AcA8e5BB5Beb8F6ABc8.update
                logger.debug("Trace: %s", str(exp).format(*format_args))

            if type(exp) == str:
                ret.append(exp.format(*format_args))
            else:
                ret.append(exp)

        def trace_extend(l):
            assert type(l) == list

            for r in l:
                trace(r)

        stack = self.stack

        op = line[1]

        previous_len = stack.len()

        if '--verbose' in sys.argv or '--explain' in sys.argv:
            trace(C.asm('       '+str(stack)))
            trace('')

            if "push" not in op and "dup" not in op and "swap" not in op:
                trace('[{}] {}',line[0],C.asm(op))
            else:
                if type(line[2]) == str:
                    trace('[{}] {} {}',line[0],C.asm(op),C.asm(" ”"+line[2]+"”"))
                elif line[2] > 0x1000000000:
                    trace('[{}] {} {}',line[0],C.asm(op),C.asm(hex(line[2])))
                else:                
                    trace('[{}] {} {}',line[0],C.asm(op),C.asm(str(line[2])))

        assert op not in ['jump', 'jumpi', 'revert', 'return', 'stop', 'jumpdest']

        param = 0
        if len(line)>2:
            param = line[2]

        if op in ['exp', 'and', 'eq', 'div', 'lt', 'gt', 'slt', 'sgt', 'mod', 'xor', 'signextend', 'smod', 'sdiv']:
            stack.append(arithmetic.eval((op, stack.pop(), stack.pop(),)))

        if op in ['mulmod', 'addmod']:
            stack.append(('mulmod', stack.pop(), stack.pop(), stack.pop()))

        if op == 'mul':
            stack.append(mul_op(stack.pop(), stack.pop()))

        if op == 'or':
            stack.append(or_op(stack.pop(), stack.pop()))

        if op == 'shl':
            off = stack.pop()
            exp = stack.pop()
            if all_concrete(off, exp):
                stack.append(exp << off)
            else:
                stack.append(mask_op(exp, shl = off))

        if op == 'shr':
            off = stack.pop()
            exp = stack.pop()
            if all_concrete(off, exp):
                stack.append(exp >> off)
            else:
                stack.append(mask_op(exp, offset=minus_op(off), shr = off))

        if op == 'add':
            stack.append(add_op(stack.pop(), stack.pop()))

        if op == 'sub':
            left = stack.pop()
            right = stack.pop()

            if type(left) == int and type(right) == int:
                stack.append(arithmetic.sub(left, right))
            else:
                stack.append(sub_op(left, right))

        elif op in ['not', 'iszero']:
            stack.append((op, stack.pop()))

        elif op == 'sha3':
            p = stack.pop()
            n = stack.pop()
            res = mem_load(p, n)

            self.counter += 1
            vname = f'_{self.counter}'
            vval = ('sha3', res, )
            trace(('setvar', vname, vval))
            stack.append(('var', vname))

        elif op == 'calldataload':
            stack.append(('cd', stack.pop(),))

        elif op == 'byte':
            val = stack.pop()
            num = stack.pop()
            off = sub_op(256, to_bytes(num))
            stack.append(mask_op(val, 8, off, shr=off))

        elif op == 'balance':
            addr = stack.pop()
            if opcode(addr) == 'mask_shl' and addr[:4] == ('mask_shl', 160, 0, 0):
                stack.append(('balance', addr[4],))
            else:
                stack.append(('balance', addr,))

        elif op == 'swap':
            stack.swap(param)


        elif op[:3] == 'log':
            p = stack.pop()
            s = stack.pop()
            topics = []
            param = int(op[3])
            for i in range(param):
                el = stack.pop()
                topics.append(el)

            trace(('log', mem_load(p, s), ) + tuple(topics))

        elif op == 'sload':
            sloc = stack.pop()
            stack.append(('storage', 256, 0, sloc))

        elif op == 'sstore':
            sloc = stack.pop()
            val = stack.pop()
            trace(('store', 256, 0, sloc, val))

        elif op == 'mload':
            memloc = stack.pop()
            loaded = mem_load(memloc)

            self.counter += 1
            vname = f'_{self.counter}'
            trace(('setvar', vname, ('mem', ('range', memloc, 32))))
            stack.append(('var',vname))

        elif op == 'mstore':
            memloc = stack.pop()
            val = stack.pop()
            trace(('setmem', ('range', memloc, 32), val,))

        elif op == 'mstore8':
            memloc = stack.pop()
            val = stack.pop()

            trace(('setmem', ('range', memloc, 8), val,))


        elif op == 'extcodecopy':
            addr = stack.pop()
            mem_pos =  stack.pop()
            code_pos = stack.pop()
            data_len = stack.pop()

            trace(('setmem', ('range', mem_pos, data_len), ('extcodecopy', addr, ('range', code_pos, data_len))))

        elif op == 'codecopy':
            mem_pos = stack.pop()
            call_pos = stack.pop()
            data_len = stack.pop()

            if (type(call_pos), type(data_len)) == (int, int) and call_pos+data_len < len(self.loader.binary):
                res = 0
                for i in range(call_pos-1, call_pos+data_len-1):
                    res = res << 8
                    res += self.loader.binary[i] # this breaks with out of range for some contracts
                                                 # may be because we're usually getting compiled code binary
                                                 # and not runtime binary
                trace(('setmem', ('range', mem_pos, data_len), res))# ('bytes', data_len, res)))

            else:

                trace(('setmem', ('range', mem_pos, data_len), ('code.data', call_pos, data_len, ),))


        elif op == 'codesize':
            stack.append(len(self.loader.binary))

        elif op == 'calldatacopy':
            mem_pos = stack.pop()
            call_pos = stack.pop()
            data_len = stack.pop()

            if data_len != 0:   
                call_data = ('call.data', call_pos, data_len)         
#                call_data = mask_op(('call.data', bits(add_op(data_len, call_pos))), size=bits(data_len), shl=bits(call_pos))
                trace(('setmem', ('range', mem_pos, data_len), call_data))


        elif op == 'returndatacopy':
            mem_pos = stack.pop()
            ret_pos = stack.pop()
            data_len = stack.pop()

            if data_len != 0:
                return_data = ('ext_call.return_data', ret_pos, data_len)
#                return_data = mask_op(('ext_call.return_data', bits(add_op(data_len, ret_pos))), size=bits(data_len), shl=bits(ret_pos))
                trace(('setmem', ('range', mem_pos, data_len), return_data))

        elif op == 'call':
            self.handle_call(op, trace)

        elif op == 'staticcall':
            self.handle_call(op, trace)


        elif op == 'delegatecall':
            gas = stack.pop()
            addr = stack.pop()

            arg_start = stack.pop()
            arg_len = stack.pop()
            ret_start = stack.pop()
            ret_len = stack.pop()

            call_trace = ('delegatecall', gas, addr, ) # arg_start, arg_len, ret_start, ret_len)

            if arg_len == 0:
                fname = None
                fparams = None

            elif arg_len == 4:
                fname = mem_load( arg_start,  4 )
                fparams = 0

            else:
                fname = mem_load( arg_start,  4 )
                fparams = mem_load( add_op(arg_start, 4), sub_op(arg_len, 4))
                
            call_trace += (fname, fparams)

            trace(call_trace)

            self.call_len = ret_len
            stack.append('delegate.return_code')

            if 0 != ret_len:
                return_data = ('delegate.return_data', 0, ret_len)

                trace(('setmem', ('range', ret_start, ret_len), return_data))


        elif op == 'callcode':
            gas = stack.pop()
            addr = stack.pop()
            value = stack.pop()

            arg_start = stack.pop()
            arg_len = stack.pop()
            ret_start = stack.pop()
            ret_len = stack.pop()

            call_trace = ('callcode', gas, addr, value, )

            if arg_len == 0:
                fname = None
                fparams = None

            elif arg_len == 4:
                fname = mem_load( arg_start,  4 )
                fparams = 0

            else:
                fname = mem_load( arg_start,  4 )
                fparams = mem_load( add_op(arg_start, 4), sub_op(arg_len, 4))
                
            call_trace += (fname, fparams)

            trace(call_trace)

            self.call_len = ret_len
            stack.append('callcode.return_code')

            if 0 != ret_len:
                return_data = ('callcode.return_data', 0, ret_len)

                trace(('setmem', ('range', ret_start, ret_len), return_data))


        elif op == 'create':
            wei, mem_start, mem_len = stack.pop(), stack.pop(), stack.pop()

            call_trace = ('create', wei)

            code = mem_load(mem_start, mem_len)
            call_trace += (code, )

            trace(call_trace)

            stack.append('create.new_address')

        elif op == 'create2':
            wei, mem_start, mem_len, salt = stack.pop(), stack.pop(), stack.pop(), stack.pop()

            call_trace = ('create2', wei, ('mem', ('range', mem_start, mem_len)), salt)

            trace(call_trace)

            stack.append('create2.new_address')

        elif op[:4] == 'push':
            stack.append(param)

        elif op == 'pc':
            stack.append(line[0])

        elif op == 'pop':
            stack.pop()

        elif op == 'dup':
            stack.dup(param)

        elif op == 'msize':
            self.counter += 1
            vname = f'_{self.counter}'
            trace(('setvar', vname, 'msize'))
            stack.append(('var',vname))

        elif op in ('extcodesize', 'extcodehash', 'blockhash'):
            stack.append((op, stack.pop(),))

        elif op in ['callvalue', 'caller', 'address', 'number',  'gas', 'origin', 'timestamp',
                        'difficulty', 'gasprice', 'coinbase', 'gaslimit', 'calldatasize', 'returndatasize']:
            stack.append(op)


        if stack.len() - previous_len != opcode_dict.stack_diffs[op]:
            logger.error('line: %s', line)
            logger.error('stack: %s', stack)
            logger.error('expected %s, got %s stack diff', opcode_dict.stack_diffs[op], stack.len() - org_len)
            assert False, f'opcode {op} not processed correctly'

        stack.cleanup()
Example #3
0
    def apply_stack(self, ret, line):
        def trace(exp, *format_args):
            try:
                logger.debug("Trace: %s", str(exp).format(*format_args))
            except Exception:
                pass

            if type(exp) == str:
                ret.append(exp.format(*format_args))
            else:
                ret.append(exp)

        stack = self.stack

        op = line[1]

        previous_len = stack.len()

        if "--verbose" in sys.argv or "--explain" in sys.argv:
            trace(C.asm("       " + str(stack)))
            trace("")

            if "push" not in op and "dup" not in op and "swap" not in op:
                trace("[{}] {}", line[0], C.asm(op))
            else:
                if type(line[2]) == str:
                    trace("[{}] {} {}", line[0], C.asm(op),
                          C.asm(" ”" + line[2] + "”"))
                elif line[2] > 0x1000000000:
                    trace("[{}] {} {}", line[0], C.asm(op),
                          C.asm(hex(line[2])))
                else:
                    trace("[{}] {} {}", line[0], C.asm(op),
                          C.asm(str(line[2])))

        param = 0
        if len(line) > 2:
            param = line[2]

        if op in [
                "exp",
                "and",
                "eq",
                "div",
                "lt",
                "gt",
                "slt",
                "sgt",
                "mod",
                "xor",
                "signextend",
                "smod",
                "sdiv",
        ]:
            stack.append(arithmetic.eval((
                op,
                stack.pop(),
                stack.pop(),
            )))

        elif op[:4] == "push":
            stack.append(param)

        elif op == "pop":
            stack.pop()

        elif op == "dup":
            stack.dup(param)

        elif op == "mul":
            stack.append(mul_op(stack.pop(), stack.pop()))

        elif op == "or":
            stack.append(or_op(stack.pop(), stack.pop()))

        elif op == "add":
            stack.append(add_op(stack.pop(), stack.pop()))

        elif op == "sub":
            left = stack.pop()
            right = stack.pop()

            if type(left) == int and type(right) == int:
                stack.append(arithmetic.sub(left, right))
            else:
                stack.append(sub_op(left, right))

        elif op in ["mulmod", "addmod"]:
            stack.append(("mulmod", stack.pop(), stack.pop(), stack.pop()))

        elif op == "shl":
            off = stack.pop()
            exp = stack.pop()
            if all_concrete(off, exp):
                stack.append(exp << off)
            else:
                stack.append(mask_op(exp, shl=off))

        elif op == "shr":
            off = stack.pop()
            exp = stack.pop()
            if all_concrete(off, exp):
                stack.append(exp >> off)
            else:
                stack.append(mask_op(exp, offset=minus_op(off), shr=off))

        elif op == "sar":
            off = stack.pop()
            exp = stack.pop()
            if all_concrete(off, exp):
                sign = exp & (1 << 255)
                if off >= 256:
                    if sign:
                        stack.append(2**256 - 1)
                    else:
                        stack.append(0)
                else:
                    shifted = exp >> off
                    if sign:
                        shifted |= (2**256 - 1) << (256 - off)
                    stack.append(shifted)
            else:
                # FIXME: This won't give the right result...
                stack.append(mask_op(exp, offset=minus_op(off), shr=off))

        elif op in ["not", "iszero"]:
            stack.append((op, stack.pop()))

        elif op == "sha3":
            p = stack.pop()
            n = stack.pop()
            res = mem_load(p, n)

            self.counter += 1
            vname = f"_{self.counter}"
            vval = (
                "sha3",
                res,
            )

            trace(("setvar", vname, vval))
            stack.append(("var", vname))

        elif op == "calldataload":
            stack.append((
                "cd",
                stack.pop(),
            ))

        elif op == "byte":
            val = stack.pop()
            num = stack.pop()
            off = sub_op(256, to_bytes(num))
            stack.append(mask_op(val, 8, off, shr=off))

        elif op == "selfbalance":
            stack.append((
                "balance",
                "address",
            ))

        elif op == "balance":
            addr = stack.pop()
            if opcode(addr) == "mask_shl" and addr[:4] == ("mask_shl", 160, 0,
                                                           0):
                stack.append((
                    "balance",
                    addr[4],
                ))
            else:
                stack.append((
                    "balance",
                    addr,
                ))

        elif op == "swap":
            stack.swap(param)

        elif op[:3] == "log":
            p = stack.pop()
            s = stack.pop()
            topics = []
            param = int(op[3])
            for i in range(param):
                el = stack.pop()
                topics.append(el)

            trace((
                "log",
                mem_load(p, s),
            ) + tuple(topics))

        elif op == "sload":
            sloc = stack.pop()
            stack.append(("storage", 256, 0, sloc))

        elif op == "sstore":
            sloc = stack.pop()
            val = stack.pop()
            trace(("store", 256, 0, sloc, val))

        elif op == "mload":
            memloc = stack.pop()

            self.counter += 1
            vname = f"_{self.counter}"
            trace(("setvar", vname, ("mem", ("range", memloc, 32))))
            stack.append(("var", vname))

        elif op == "mstore":
            memloc = stack.pop()
            val = stack.pop()
            trace((
                "setmem",
                ("range", memloc, 32),
                val,
            ))

        elif op == "mstore8":
            memloc = stack.pop()
            val = stack.pop()

            trace((
                "setmem",
                ("range", memloc, 8),
                val,
            ))

        elif op == "extcodecopy":
            addr = stack.pop()
            mem_pos = stack.pop()
            code_pos = stack.pop()
            data_len = stack.pop()

            trace((
                "setmem",
                ("range", mem_pos, data_len),
                ("extcodecopy", addr, ("range", code_pos, data_len)),
            ))

        elif op == "codecopy":
            mem_pos = stack.pop()
            call_pos = stack.pop()
            data_len = stack.pop()

            if (type(call_pos), type(data_len)) == (
                    int,
                    int,
            ) and call_pos + data_len < len(self.loader.binary):
                res = 0
                for i in range(call_pos - 1, call_pos + data_len - 1):
                    res = res << 8
                    res += self.loader.binary[
                        i]  # this breaks with out of range for some contracts
                    # may be because we're usually getting compiled code binary
                    # and not runtime binary
                trace(("setmem", ("range", mem_pos, data_len),
                       res))  # ('bytes', data_len, res)))

            else:
                trace((
                    "setmem",
                    ("range", mem_pos, data_len),
                    (
                        "code.data",
                        call_pos,
                        data_len,
                    ),
                ))

        elif op == "codesize":
            stack.append(len(self.loader.binary))

        elif op == "calldatacopy":
            mem_pos = stack.pop()
            call_pos = stack.pop()
            data_len = stack.pop()

            if data_len != 0:
                call_data = ("call.data", call_pos, data_len)
                #                call_data = mask_op(('call.data', bits(add_op(data_len, call_pos))), size=bits(data_len), shl=bits(call_pos))
                trace(("setmem", ("range", mem_pos, data_len), call_data))

        elif op == "returndatacopy":
            mem_pos = stack.pop()
            ret_pos = stack.pop()
            data_len = stack.pop()

            if data_len != 0:
                return_data = ("ext_call.return_data", ret_pos, data_len)
                #                return_data = mask_op(('ext_call.return_data', bits(add_op(data_len, ret_pos))), size=bits(data_len), shl=bits(ret_pos))
                trace(("setmem", ("range", mem_pos, data_len), return_data))

        elif op == "call":
            self.handle_call(op, trace)

        elif op == "staticcall":
            self.handle_call(op, trace)

        elif op == "delegatecall":
            gas = stack.pop()
            addr = stack.pop()

            arg_start = stack.pop()
            arg_len = stack.pop()
            ret_start = stack.pop()
            ret_len = stack.pop()

            call_trace = (
                "delegatecall",
                gas,
                addr,
            )  # arg_start, arg_len, ret_start, ret_len)

            if arg_len == 0:
                fname = None
                fparams = None

            elif arg_len == 4:
                fname = mem_load(arg_start, 4)
                fparams = 0

            else:
                fname = mem_load(arg_start, 4)
                fparams = mem_load(add_op(arg_start, 4), sub_op(arg_len, 4))

            call_trace += (fname, fparams)

            trace(call_trace)

            self.call_len = ret_len
            stack.append("delegate.return_code")

            if 0 != ret_len:
                return_data = ("delegate.return_data", 0, ret_len)

                trace(("setmem", ("range", ret_start, ret_len), return_data))

        elif op == "callcode":
            gas = stack.pop()
            addr = stack.pop()
            value = stack.pop()

            arg_start = stack.pop()
            arg_len = stack.pop()
            ret_start = stack.pop()
            ret_len = stack.pop()

            call_trace = (
                "callcode",
                gas,
                addr,
                value,
            )

            if arg_len == 0:
                fname = None
                fparams = None

            elif arg_len == 4:
                fname = mem_load(arg_start, 4)
                fparams = 0

            else:
                fname = mem_load(arg_start, 4)
                fparams = mem_load(add_op(arg_start, 4), sub_op(arg_len, 4))

            call_trace += (fname, fparams)

            trace(call_trace)

            self.call_len = ret_len
            stack.append("callcode.return_code")

            if 0 != ret_len:
                return_data = ("callcode.return_data", 0, ret_len)

                trace(("setmem", ("range", ret_start, ret_len), return_data))

        elif op == "create":
            wei, mem_start, mem_len = stack.pop(), stack.pop(), stack.pop()

            call_trace = ("create", wei)

            code = mem_load(mem_start, mem_len)
            call_trace += (code, )

            trace(call_trace)

            stack.append("create.new_address")

        elif op == "create2":
            wei, mem_start, mem_len, salt = (
                stack.pop(),
                stack.pop(),
                stack.pop(),
                stack.pop(),
            )

            call_trace = ("create2", wei, ("mem", ("range", mem_start,
                                                   mem_len)), salt)

            trace(call_trace)

            stack.append("create2.new_address")

        elif op == "pc":
            stack.append(line[0])

        elif op == "msize":
            self.counter += 1
            vname = f"_{self.counter}"
            trace(("setvar", vname, "msize"))
            stack.append(("var", vname))

        elif op in ("extcodesize", "extcodehash", "blockhash"):
            stack.append((
                op,
                stack.pop(),
            ))

        elif op in [
                "callvalue",
                "caller",
                "address",
                "number",
                "gas",
                "origin",
                "timestamp",
                "chainid",
                "difficulty",
                "gasprice",
                "coinbase",
                "gaslimit",
                "calldatasize",
                "returndatasize",
        ]:
            stack.append(op)

        else:
            # TODO: Maybe raise an error directly?
            assert op not in [
                "jump",
                "jumpi",
                "revert",
                "return",
                "stop",
                "jumpdest",
                "UNKNOWN",
            ]

        if stack.len() - previous_len != opcode_dict.stack_diffs[op]:
            logger.error("line: %s", line)
            logger.error("stack: %s", stack)
            logger.error(
                "expected %s, got %s stack diff",
                opcode_dict.stack_diffs[op],
                stack.len() - previous_len,
            )
            assert False, f"opcode {op} not processed correctly"

        stack.cleanup()
def eval_bool(exp, known_true=True, symbolic=True):
    if exp == known_true:
        return True

    if is_zero(exp) == known_true:
        return False

    if exp == is_zero(known_true):
        return False

    if type(exp) == int:
        return exp > 0

    if exp in (True, False):
        return True

    if opcode(exp) == "bool":
        return eval_bool(exp[1], known_true=known_true, symbolic=symbolic)

    if opcode(exp) == "iszero":
        e = eval_bool(exp[1], known_true=known_true, symbolic=symbolic)
        if e is not None:
            return not e

    if opcode(exp) == "or":
        res = 0
        for e in exp[1:]:
            ev = eval_bool(e, known_true=known_true, symbolic=symbolic)
            if ev is None:
                return None
            res = res or ev
        return res

        #'ge', 'gt', 'eq' - tbd
    if opcode(exp) in ["le", "lt"] and opcode(exp) == opcode(known_true):
        if exp[1] == known_true[1]:
            # ('le', x, sth) while ('le', x, sth2) is known to be true
            if eval_bool((opcode(exp), known_true[2], exp[2])) is True:
                return True

    if not symbolic:
        r = eval(exp)

        if type(r) == int:
            return r != 0

        return None

    if opcode(exp) == "le":
        left = eval(exp[1])
        right = eval(exp[2])

        if left == right:
            return True

        if type(left) == int and type(right) == int:
            return left <= right

        try:
            return algebra.le_op(left, right)
        except Exception:
            return None

    if opcode(exp) == "lt":
        left = eval(exp[1])
        right = eval(exp[2])

        if left == right:
            return False

        if type(left) == int and type(right) == int:
            return left < right

        try:
            return algebra.lt_op(left, right)
        except Exception:
            return None

    if opcode(exp) == "gt":
        left = eval(exp[1])
        right = eval(exp[2])

        if type(left) == int and type(right) == int:
            return left > right

        if left == right:
            return False

        try:  # a > b iff b < a iff b+1 <= a
            le = algebra.lt_op(algebra.add_op(left, 1), right, 1)
            logger.debug("le %s %s %s", le, left, right)

            if le == True:
                return False
            if le == False:
                return True
            if le is None:
                return None
        except Exception:
            pass

    if opcode(exp) == "ge":
        left = eval(exp[1])
        right = eval(exp[2])

        if type(left) == int and type(right) == int:
            return left >= right

        if left == right:
            return True

        try:
            lt = algebra.lt_op(left, right)
            if lt == True:
                return False
            if lt == False:
                return True
            if lt is None:
                return None
        except Exception:
            pass

    if opcode(exp) == "eq":
        left = eval(exp[1])
        right = eval(exp[2])

        if left == right:
            return True

        if algebra.sub_op(left, right) == 0:
            return True

    return None