Optimize.py

import re
import copy
import codecs
import itertools

from . import TypeSlots
from .ExprNodes import not_a_constant
import cython
cython.declare(UtilityCode=object, EncodedString=object, bytes_literal=object, encoded_string=object,
               Nodes=object, ExprNodes=object, PyrexTypes=object, Builtin=object,
               UtilNodes=object, _py_int_types=object)

_py_string_types = (bytes, str)


from . import Nodes
from . import ExprNodes
from . import PyrexTypes
from . import Visitor
from . import Builtin
from . import UtilNodes
from . import Options

from .Code import UtilityCode, TempitaUtilityCode
from .StringEncoding import EncodedString, bytes_literal, encoded_string
from .Errors import error, warning
from .ParseTreeTransforms import SkipDeclarations
from .. import Utils

from functools import reduce


def load_c_utility(name):
    return UtilityCode.load_cached(name, "Optimize.c")


def unwrap_coerced_node(node, coercion_nodes=(ExprNodes.CoerceToPyTypeNode, ExprNodes.CoerceFromPyTypeNode)):
    if isinstance(node, coercion_nodes):
        return node.arg
    return node


def unwrap_node(node):
    while isinstance(node, UtilNodes.ResultRefNode):
        node = node.expression
    return node


def is_common_value(a, b):
    a = unwrap_node(a)
    b = unwrap_node(b)
    if isinstance(a, ExprNodes.NameNode) and isinstance(b, ExprNodes.NameNode):
        return a.name == b.name
    if isinstance(a, ExprNodes.AttributeNode) and isinstance(b, ExprNodes.AttributeNode):
        return not a.is_py_attr and is_common_value(a.obj, b.obj) and a.attribute == b.attribute
    return False


def filter_none_node(node):
    if node is not None and node.constant_result is None:
        return None
    return node


class _YieldNodeCollector(Visitor.TreeVisitor):
    """
    YieldExprNode finder for generator expressions.
    """
    def __init__(self):
        Visitor.TreeVisitor.__init__(self)
        self.yield_stat_nodes = {}
        self.yield_nodes = []

    visit_Node = Visitor.TreeVisitor.visitchildren

    def visit_YieldExprNode(self, node):
        self.yield_nodes.append(node)
        self.visitchildren(node)

    def visit_ExprStatNode(self, node):
        self.visitchildren(node)
        if node.expr in self.yield_nodes:
            self.yield_stat_nodes[node.expr] = node

    # everything below these nodes is out of scope:

    def visit_GeneratorExpressionNode(self, node):
        pass

    def visit_LambdaNode(self, node):
        pass

    def visit_FuncDefNode(self, node):
        pass


def _find_single_yield_expression(node):
    yield_statements = _find_yield_statements(node)
    if len(yield_statements) != 1:
        return None, None
    return yield_statements[0]


def _find_yield_statements(node):
    collector = _YieldNodeCollector()
    collector.visitchildren(node)
    try:
        yield_statements = [
            (yield_node.arg, collector.yield_stat_nodes[yield_node])
            for yield_node in collector.yield_nodes
        ]
    except KeyError:
        # found YieldExprNode without ExprStatNode (i.e. a non-statement usage of 'yield')
        yield_statements = []
    return yield_statements


class IterationTransform(Visitor.EnvTransform):
    """Transform some common for-in loop patterns into efficient C loops:

    - for-in-dict loop becomes a while loop calling PyDict_Next()
    - for-in-enumerate is replaced by an external counter variable
    - for-in-range loop becomes a plain C for loop
    """
    def visit_PrimaryCmpNode(self, node):
        if node.is_ptr_contains():

            # for t in operand2:
            #     if operand1 == t:
            #         res = True
            #         break
            # else:
            #     res = False

            pos = node.pos
            result_ref = UtilNodes.ResultRefNode(node)
            if node.operand2.is_subscript:
                base_type = node.operand2.base.type.base_type
            else:
                base_type = node.operand2.type.base_type
            target_handle = UtilNodes.TempHandle(base_type)
            target = target_handle.ref(pos)
            cmp_node = ExprNodes.PrimaryCmpNode(
                pos, operator='==', operand1=node.operand1, operand2=target)
            if_body = Nodes.StatListNode(
                pos,
                stats = [Nodes.SingleAssignmentNode(pos, lhs=result_ref, rhs=ExprNodes.BoolNode(pos, value=1)),
                         Nodes.BreakStatNode(pos)])
            if_node = Nodes.IfStatNode(
                pos,
                if_clauses=[Nodes.IfClauseNode(pos, condition=cmp_node, body=if_body)],
                else_clause=None)
            for_loop = UtilNodes.TempsBlockNode(
                pos,
                temps = [target_handle],
                body = Nodes.ForInStatNode(
                    pos,
                    target=target,
                    iterator=ExprNodes.IteratorNode(node.operand2.pos, sequence=node.operand2),
                    body=if_node,
                    else_clause=Nodes.SingleAssignmentNode(pos, lhs=result_ref, rhs=ExprNodes.BoolNode(pos, value=0))))
            for_loop = for_loop.analyse_expressions(self.current_env())
            for_loop = self.visit(for_loop)
            new_node = UtilNodes.TempResultFromStatNode(result_ref, for_loop)

            if node.operator == 'not_in':
                new_node = ExprNodes.NotNode(pos, operand=new_node)
            return new_node

        else:
            self.visitchildren(node)
            return node

    def visit_ForInStatNode(self, node):
        self.visitchildren(node)
        return self._optimise_for_loop(node, node.iterator.sequence)

    def _optimise_for_loop(self, node, iterable, reversed=False):
        annotation_type = None
        if (iterable.is_name or iterable.is_attribute) and iterable.entry and iterable.entry.annotation:
            annotation = iterable.entry.annotation.expr
            if annotation.is_subscript:
                annotation = annotation.base  # container base type

        if Builtin.dict_type in (iterable.type, annotation_type):
            # like iterating over dict.keys()
            if reversed:
                # CPython raises an error here: not a sequence
                return node
            return self._transform_dict_iteration(
                node, dict_obj=iterable, method=None, keys=True, values=False)

        if (Builtin.set_type in (iterable.type, annotation_type) or
                Builtin.frozenset_type in (iterable.type, annotation_type)):
            if reversed:
                # CPython raises an error here: not a sequence
                return node
            return self._transform_set_iteration(node, iterable)

        # C array (slice) iteration?
        if iterable.type.is_ptr or iterable.type.is_array:
            return self._transform_carray_iteration(node, iterable, reversed=reversed)
        if iterable.type is Builtin.bytes_type:
            return self._transform_bytes_iteration(node, iterable, reversed=reversed)
        if iterable.type is Builtin.unicode_type:
            return self._transform_unicode_iteration(node, iterable, reversed=reversed)
        # in principle _transform_indexable_iteration would work on most of the above, and
        # also tuple and list. However, it probably isn't quite as optimized
        if iterable.type is Builtin.bytearray_type:
            return self._transform_indexable_iteration(node, iterable, is_mutable=True, reversed=reversed)
        if isinstance(iterable, ExprNodes.CoerceToPyTypeNode) and iterable.arg.type.is_memoryviewslice:
            return self._transform_indexable_iteration(node, iterable.arg, is_mutable=False, reversed=reversed)

        # the rest is based on function calls
        if not isinstance(iterable, ExprNodes.SimpleCallNode):
            return node

        if iterable.args is None:
            arg_count = iterable.arg_tuple and len(iterable.arg_tuple.args) or 0
        else:
            arg_count = len(iterable.args)
            if arg_count and iterable.self is not None:
                arg_count -= 1

        function = iterable.function
        # dict iteration?
        if function.is_attribute and not reversed and not arg_count:
            base_obj = iterable.self or function.obj
            method = function.attribute
            # in Py3, items() is equivalent to Py2's iteritems()
            is_safe_iter = self.global_scope().context.language_level >= 3

            if not is_safe_iter and method in ('keys', 'values', 'items'):
                # try to reduce this to the corresponding .iter*() methods
                if isinstance(base_obj, ExprNodes.CallNode):
                    inner_function = base_obj.function
                    if (inner_function.is_name and inner_function.name == 'dict'
                            and inner_function.entry
                            and inner_function.entry.is_builtin):
                        # e.g. dict(something).items() => safe to use .iter*()
                        is_safe_iter = True

            keys = values = False
            if method == 'iterkeys' or (is_safe_iter and method == 'keys'):
                keys = True
            elif method == 'itervalues' or (is_safe_iter and method == 'values'):
                values = True
            elif method == 'iteritems' or (is_safe_iter and method == 'items'):
                keys = values = True

            if keys or values:
                return self._transform_dict_iteration(
                    node, base_obj, method, keys, values)

        # enumerate/reversed ?
        if iterable.self is None and function.is_name and \
               function.entry and function.entry.is_builtin:
            if function.name == 'enumerate':
                if reversed:
                    # CPython raises an error here: not a sequence
                    return node
                return self._transform_enumerate_iteration(node, iterable)
            elif function.name == 'reversed':
                if reversed:
                    # CPython raises an error here: not a sequence
                    return node
                return self._transform_reversed_iteration(node, iterable)

        # range() iteration?
        if Options.convert_range and 1 <= arg_count <= 3 and (
                iterable.self is None and
                function.is_name and function.name in ('range', 'xrange') and
                function.entry and function.entry.is_builtin):
            if node.target.type.is_int or node.target.type.is_enum:
                return self._transform_range_iteration(node, iterable, reversed=reversed)
            if node.target.type.is_pyobject:
                # Assume that small integer ranges (C long >= 32bit) are best handled in C as well.
                for arg in (iterable.arg_tuple.args if iterable.args is None else iterable.args):
                    if isinstance(arg, ExprNodes.IntNode):
                        if arg.has_constant_result() and -2**30 <= arg.constant_result < 2**30:
                            continue
                    break
                else:
                    return self._transform_range_iteration(node, iterable, reversed=reversed)

        return node

    def _transform_reversed_iteration(self, node, reversed_function):
        args = reversed_function.arg_tuple.args
        if len(args) == 0:
            error(reversed_function.pos,
                  "reversed() requires an iterable argument")
            return node
        elif len(args) > 1:
            error(reversed_function.pos,
                  "reversed() takes exactly 1 argument")
            return node
        arg = args[0]

        # reversed(list/tuple) ?
        if arg.type in (Builtin.tuple_type, Builtin.list_type):
            node.iterator.sequence = arg.as_none_safe_node("'NoneType' object is not iterable")
            node.iterator.reversed = True
            return node

        return self._optimise_for_loop(node, arg, reversed=True)

    def _transform_indexable_iteration(self, node, slice_node, is_mutable, reversed=False):
        """In principle can handle any iterable that Cython has a len() for and knows how to index"""
        unpack_temp_node = UtilNodes.LetRefNode(
            slice_node.as_none_safe_node("'NoneType' is not iterable"),
            may_hold_none=False, is_temp=True
            )

        start_node = ExprNodes.IntNode(
            node.pos, value='0', constant_result=0, type=PyrexTypes.c_py_ssize_t_type)
        def make_length_call():
            # helper function since we need to create this node for a couple of places
            builtin_len = ExprNodes.NameNode(node.pos, name="len",
                                             entry=Builtin.builtin_scope.lookup("len"))
            return ExprNodes.SimpleCallNode(node.pos,
                                    function=builtin_len,
                                    args=[unpack_temp_node]
                                    )
        length_temp = UtilNodes.LetRefNode(make_length_call(), type=PyrexTypes.c_py_ssize_t_type, is_temp=True)
        end_node = length_temp

        if reversed:
            relation1, relation2 = '>', '>='
            start_node, end_node = end_node, start_node
        else:
            relation1, relation2 = '<=', '<'

        counter_ref = UtilNodes.LetRefNode(pos=node.pos, type=PyrexTypes.c_py_ssize_t_type)

        target_value = ExprNodes.IndexNode(slice_node.pos, base=unpack_temp_node,
                                           index=counter_ref)

        target_assign = Nodes.SingleAssignmentNode(
            pos = node.target.pos,
            lhs = node.target,
            rhs = target_value)

        # analyse with boundscheck and wraparound
        # off (because we're confident we know the size)
        env = self.current_env()
        new_directives = Options.copy_inherited_directives(env.directives, boundscheck=False, wraparound=False)
        target_assign = Nodes.CompilerDirectivesNode(
            target_assign.pos,
            directives=new_directives,
            body=target_assign,
        )

        body = Nodes.StatListNode(
            node.pos,
            stats = [target_assign])  # exclude node.body for now to not reanalyse it
        if is_mutable:
            # We need to be slightly careful here that we are actually modifying the loop
            # bounds and not a temp copy of it. Setting is_temp=True on length_temp seems
            # to ensure this.
            # If this starts to fail then we could insert an "if out_of_bounds: break" instead
            loop_length_reassign = Nodes.SingleAssignmentNode(node.pos,
                                                        lhs = length_temp,
                                                        rhs = make_length_call())
            body.stats.append(loop_length_reassign)

        loop_node = Nodes.ForFromStatNode(
            node.pos,
            bound1=start_node, relation1=relation1,
            target=counter_ref,
            relation2=relation2, bound2=end_node,
            step=None, body=body,
            else_clause=node.else_clause,
            from_range=True)

        ret = UtilNodes.LetNode(
                    unpack_temp_node,
                    UtilNodes.LetNode(
                        length_temp,
                        # TempResultFromStatNode provides the framework where the "counter_ref"
                        # temp is set up and can be assigned to. However, we don't need the
                        # result it returns so wrap it in an ExprStatNode.
                        Nodes.ExprStatNode(node.pos,
                            expr=UtilNodes.TempResultFromStatNode(
                                    counter_ref,
                                    loop_node
                            )
                        )
                    )
                ).analyse_expressions(env)
        body.stats.insert(1, node.body)
        return ret

    PyBytes_AS_STRING_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_char_ptr_type, [
            PyrexTypes.CFuncTypeArg("s", Builtin.bytes_type, None)
            ], exception_value="NULL")

    PyBytes_GET_SIZE_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_py_ssize_t_type, [
            PyrexTypes.CFuncTypeArg("s", Builtin.bytes_type, None)
            ], exception_value="-1")

    def _transform_bytes_iteration(self, node, slice_node, reversed=False):
        target_type = node.target.type
        if not target_type.is_int and target_type is not Builtin.bytes_type:
            # bytes iteration returns bytes objects in Py2, but
            # integers in Py3
            return node

        unpack_temp_node = UtilNodes.LetRefNode(
            slice_node.as_none_safe_node("'NoneType' is not iterable"))

        slice_base_node = ExprNodes.PythonCapiCallNode(
            slice_node.pos, "__Pyx_PyBytes_AsWritableString",
            self.PyBytes_AS_STRING_func_type,
            args = [unpack_temp_node],
            is_temp = 1,
            # TypeConversions utility code is always included
            )
        len_node = ExprNodes.PythonCapiCallNode(
            slice_node.pos, "__Pyx_PyBytes_GET_SIZE",
            self.PyBytes_GET_SIZE_func_type,
            args = [unpack_temp_node],
            is_temp = 1,
            )

        return UtilNodes.LetNode(
            unpack_temp_node,
            self._transform_carray_iteration(
                node,
                ExprNodes.SliceIndexNode(
                    slice_node.pos,
                    base = slice_base_node,
                    start = None,
                    step = None,
                    stop = len_node,
                    type = slice_base_node.type,
                    is_temp = 1,
                    ),
                reversed = reversed))

    PyUnicode_READ_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_py_ucs4_type, [
            PyrexTypes.CFuncTypeArg("kind", PyrexTypes.c_int_type, None),
            PyrexTypes.CFuncTypeArg("data", PyrexTypes.c_void_ptr_type, None),
            PyrexTypes.CFuncTypeArg("index", PyrexTypes.c_py_ssize_t_type, None)
        ])

    init_unicode_iteration_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_int_type, [
            PyrexTypes.CFuncTypeArg("s", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("length", PyrexTypes.c_py_ssize_t_ptr_type, None),
            PyrexTypes.CFuncTypeArg("data", PyrexTypes.c_void_ptr_ptr_type, None),
            PyrexTypes.CFuncTypeArg("kind", PyrexTypes.c_int_ptr_type, None)
        ],
        exception_value = '-1')

    def _transform_unicode_iteration(self, node, slice_node, reversed=False):
        if slice_node.is_literal:
            # try to reduce to byte iteration for plain Latin-1 strings
            try:
                bytes_value = bytes_literal(slice_node.value.encode('latin1'), 'iso8859-1')
            except UnicodeEncodeError:
                pass
            else:
                bytes_slice = ExprNodes.SliceIndexNode(
                    slice_node.pos,
                    base=ExprNodes.BytesNode(
                        slice_node.pos, value=bytes_value,
                        constant_result=bytes_value,
                        type=PyrexTypes.c_const_char_ptr_type).coerce_to(
                            PyrexTypes.c_const_uchar_ptr_type, self.current_env()),
                    start=None,
                    stop=ExprNodes.IntNode(
                        slice_node.pos, value=str(len(bytes_value)),
                        constant_result=len(bytes_value),
                        type=PyrexTypes.c_py_ssize_t_type),
                    type=Builtin.unicode_type,  # hint for Python conversion
                )
                return self._transform_carray_iteration(node, bytes_slice, reversed)

        unpack_temp_node = UtilNodes.LetRefNode(
            slice_node.as_none_safe_node("'NoneType' is not iterable"))

        start_node = ExprNodes.IntNode(
            node.pos, value='0', constant_result=0, type=PyrexTypes.c_py_ssize_t_type)
        length_temp = UtilNodes.TempHandle(PyrexTypes.c_py_ssize_t_type)
        end_node = length_temp.ref(node.pos)
        if reversed:
            relation1, relation2 = '>', '>='
            start_node, end_node = end_node, start_node
        else:
            relation1, relation2 = '<=', '<'

        kind_temp = UtilNodes.TempHandle(PyrexTypes.c_int_type)
        data_temp = UtilNodes.TempHandle(PyrexTypes.c_void_ptr_type)
        counter_temp = UtilNodes.TempHandle(PyrexTypes.c_py_ssize_t_type)

        target_value = ExprNodes.PythonCapiCallNode(
            slice_node.pos, "__Pyx_PyUnicode_READ",
            self.PyUnicode_READ_func_type,
            args = [kind_temp.ref(slice_node.pos),
                    data_temp.ref(slice_node.pos),
                    counter_temp.ref(node.target.pos)],
            is_temp = False,
            )
        if target_value.type != node.target.type:
            target_value = target_value.coerce_to(node.target.type,
                                                  self.current_env())
        target_assign = Nodes.SingleAssignmentNode(
            pos = node.target.pos,
            lhs = node.target,
            rhs = target_value)
        body = Nodes.StatListNode(
            node.pos,
            stats = [target_assign, node.body])

        loop_node = Nodes.ForFromStatNode(
            node.pos,
            bound1=start_node, relation1=relation1,
            target=counter_temp.ref(node.target.pos),
            relation2=relation2, bound2=end_node,
            step=None, body=body,
            else_clause=node.else_clause,
            from_range=True)

        setup_node = Nodes.ExprStatNode(
            node.pos,
            expr = ExprNodes.PythonCapiCallNode(
                slice_node.pos, "__Pyx_init_unicode_iteration",
                self.init_unicode_iteration_func_type,
                args = [unpack_temp_node,
                        ExprNodes.AmpersandNode(slice_node.pos, operand=length_temp.ref(slice_node.pos),
                                                type=PyrexTypes.c_py_ssize_t_ptr_type),
                        ExprNodes.AmpersandNode(slice_node.pos, operand=data_temp.ref(slice_node.pos),
                                                type=PyrexTypes.c_void_ptr_ptr_type),
                        ExprNodes.AmpersandNode(slice_node.pos, operand=kind_temp.ref(slice_node.pos),
                                                type=PyrexTypes.c_int_ptr_type),
                        ],
                is_temp = True,
                result_is_used = False,
                utility_code=UtilityCode.load_cached("unicode_iter", "Optimize.c"),
                ))
        return UtilNodes.LetNode(
            unpack_temp_node,
            UtilNodes.TempsBlockNode(
                node.pos, temps=[counter_temp, length_temp, data_temp, kind_temp],
                body=Nodes.StatListNode(node.pos, stats=[setup_node, loop_node])))

    def _transform_carray_iteration(self, node, slice_node, reversed=False):
        neg_step = False
        if isinstance(slice_node, ExprNodes.SliceIndexNode):
            slice_base = slice_node.base
            start = filter_none_node(slice_node.start)
            stop = filter_none_node(slice_node.stop)
            step = None
            if not stop:
                if not slice_base.type.is_pyobject:
                    error(slice_node.pos, "C array iteration requires known end index")
                return node

        elif slice_node.is_subscript:
            assert isinstance(slice_node.index, ExprNodes.SliceNode)
            slice_base = slice_node.base
            index = slice_node.index
            start = filter_none_node(index.start)
            stop = filter_none_node(index.stop)
            step = filter_none_node(index.step)
            if step:
                if not isinstance(step.constant_result, int) \
                       or step.constant_result == 0 \
                       or step.constant_result > 0 and not stop \
                       or step.constant_result < 0 and not start:
                    if not slice_base.type.is_pyobject:
                        error(step.pos, "C array iteration requires known step size and end index")
                    return node
                else:
                    # step sign is handled internally by ForFromStatNode
                    step_value = step.constant_result
                    if reversed:
                        step_value = -step_value
                    neg_step = step_value < 0
                    step = ExprNodes.IntNode(step.pos, type=PyrexTypes.c_py_ssize_t_type,
                                             value=str(abs(step_value)),
                                             constant_result=abs(step_value))

        elif slice_node.type.is_array:
            if slice_node.type.size is None:
                error(slice_node.pos, "C array iteration requires known end index")
                return node
            slice_base = slice_node
            start = None
            stop = ExprNodes.IntNode(
                slice_node.pos, value=str(slice_node.type.size),
                type=PyrexTypes.c_py_ssize_t_type, constant_result=slice_node.type.size)
            step = None

        else:
            if not slice_node.type.is_pyobject:
                error(slice_node.pos, "C array iteration requires known end index")
            return node

        if start:
            start = start.coerce_to(PyrexTypes.c_py_ssize_t_type, self.current_env())
        if stop:
            stop = stop.coerce_to(PyrexTypes.c_py_ssize_t_type, self.current_env())
        if stop is None:
            if neg_step:
                stop = ExprNodes.IntNode(
                    slice_node.pos, value='-1', type=PyrexTypes.c_py_ssize_t_type, constant_result=-1)
            else:
                error(slice_node.pos, "C array iteration requires known step size and end index")
                return node

        if reversed:
            if not start:
                start = ExprNodes.IntNode(slice_node.pos, value="0",  constant_result=0,
                                          type=PyrexTypes.c_py_ssize_t_type)
            # if step was provided, it was already negated above
            start, stop = stop, start

        ptr_type = slice_base.type
        if ptr_type.is_array:
            ptr_type = ptr_type.element_ptr_type()
        carray_ptr = slice_base.coerce_to_simple(self.current_env())

        if start and start.constant_result != 0:
            start_ptr_node = ExprNodes.AddNode(
                start.pos,
                operand1=carray_ptr,
                operator='+',
                operand2=start,
                type=ptr_type)
        else:
            start_ptr_node = carray_ptr

        if stop and stop.constant_result != 0:
            stop_ptr_node = ExprNodes.AddNode(
                stop.pos,
                operand1=ExprNodes.CloneNode(carray_ptr),
                operator='+',
                operand2=stop,
                type=ptr_type
                ).coerce_to_simple(self.current_env())
        else:
            stop_ptr_node = ExprNodes.CloneNode(carray_ptr)

        counter = UtilNodes.TempHandle(ptr_type)
        counter_temp = counter.ref(node.target.pos)

        if slice_base.type.is_string and node.target.type.is_pyobject:
            # special case: char* -> bytes/unicode
            if slice_node.type is Builtin.unicode_type:
                target_value = ExprNodes.CastNode(
                    ExprNodes.DereferenceNode(
                        node.target.pos, operand=counter_temp,
                        type=ptr_type.base_type),
                    PyrexTypes.c_py_ucs4_type).coerce_to(
                        node.target.type, self.current_env())
            else:
                # char* -> bytes coercion requires slicing, not indexing
                target_value = ExprNodes.SliceIndexNode(
                    node.target.pos,
                    start=ExprNodes.IntNode(node.target.pos, value='0',
                                            constant_result=0,
                                            type=PyrexTypes.c_int_type),
                    stop=ExprNodes.IntNode(node.target.pos, value='1',
                                           constant_result=1,
                                           type=PyrexTypes.c_int_type),
                    base=counter_temp,
                    type=Builtin.bytes_type,
                    is_temp=1)
        elif node.target.type.is_ptr and not node.target.type.assignable_from(ptr_type.base_type):
            # Allow iteration with pointer target to avoid copy.
            target_value = counter_temp
        else:
            # TODO: can this safely be replaced with DereferenceNode() as above?
            target_value = ExprNodes.IndexNode(
                node.target.pos,
                index=ExprNodes.IntNode(node.target.pos, value='0',
                                        constant_result=0,
                                        type=PyrexTypes.c_int_type),
                base=counter_temp,
                type=ptr_type.base_type)

        if target_value.type != node.target.type:
            target_value = target_value.coerce_to(node.target.type,
                                                  self.current_env())

        target_assign = Nodes.SingleAssignmentNode(
            pos = node.target.pos,
            lhs = node.target,
            rhs = target_value)

        body = Nodes.StatListNode(
            node.pos,
            stats = [target_assign, node.body])

        relation1, relation2 = self._find_for_from_node_relations(neg_step, reversed)

        for_node = Nodes.ForFromStatNode(
            node.pos,
            bound1=start_ptr_node, relation1=relation1,
            target=counter_temp,
            relation2=relation2, bound2=stop_ptr_node,
            step=step, body=body,
            else_clause=node.else_clause,
            from_range=True)

        return UtilNodes.TempsBlockNode(
            node.pos, temps=[counter],
            body=for_node)

    def _transform_enumerate_iteration(self, node, enumerate_function):
        args = enumerate_function.arg_tuple.args
        if len(args) == 0:
            error(enumerate_function.pos,
                  "enumerate() requires an iterable argument")
            return node
        elif len(args) > 2:
            error(enumerate_function.pos,
                  "enumerate() takes at most 2 arguments")
            return node

        if not node.target.is_sequence_constructor:
            # leave this untouched for now
            return node
        targets = node.target.args
        if len(targets) != 2:
            # leave this untouched for now
            return node

        enumerate_target, iterable_target = targets
        counter_type = enumerate_target.type

        if not counter_type.is_pyobject and not counter_type.is_int:
            # nothing we can do here, I guess
            return node

        if len(args) == 2:
            start = unwrap_coerced_node(args[1]).coerce_to(counter_type, self.current_env())
        else:
            start = ExprNodes.IntNode(enumerate_function.pos,
                                      value='0',
                                      type=counter_type,
                                      constant_result=0)
        temp = UtilNodes.LetRefNode(start)

        inc_expression = ExprNodes.AddNode(
            enumerate_function.pos,
            operand1 = temp,
            operand2 = ExprNodes.IntNode(node.pos, value='1',
                                         type=counter_type,
                                         constant_result=1),
            operator = '+',
            type = counter_type,
            #inplace = True,   # not worth using in-place operation for Py ints
            is_temp = counter_type.is_pyobject
            )

        loop_body = [
            Nodes.SingleAssignmentNode(
                pos = enumerate_target.pos,
                lhs = enumerate_target,
                rhs = temp),
            Nodes.SingleAssignmentNode(
                pos = enumerate_target.pos,
                lhs = temp,
                rhs = inc_expression)
            ]

        if isinstance(node.body, Nodes.StatListNode):
            node.body.stats = loop_body + node.body.stats
        else:
            loop_body.append(node.body)
            node.body = Nodes.StatListNode(
                node.body.pos,
                stats = loop_body)

        node.target = iterable_target
        node.item = node.item.coerce_to(iterable_target.type, self.current_env())
        node.iterator.sequence = args[0]

        # recurse into loop to check for further optimisations
        return UtilNodes.LetNode(temp, self._optimise_for_loop(node, node.iterator.sequence))

    def _find_for_from_node_relations(self, neg_step_value, reversed):
        if reversed:
            if neg_step_value:
                return '<', '<='
            else:
                return '>', '>='
        else:
            if neg_step_value:
                return '>=', '>'
            else:
                return '<=', '<'

    def _transform_range_iteration(self, node, range_function, reversed=False):
        args = range_function.arg_tuple.args
        if len(args) < 3:
            step_pos = range_function.pos
            step_value = 1
            step = ExprNodes.IntNode(step_pos, value='1', constant_result=1)
        else:
            step = args[2]
            step_pos = step.pos
            if not isinstance(step.constant_result, int):
                # cannot determine step direction
                return node
            step_value = step.constant_result
            if step_value == 0:
                # will lead to an error elsewhere
                return node
            step = ExprNodes.IntNode(step_pos, value=str(step_value),
                                     constant_result=step_value)

        if len(args) == 1:
            bound1 = ExprNodes.IntNode(range_function.pos, value='0',
                                       constant_result=0)
            bound2 = args[0].coerce_to_index(self.current_env())
        else:
            bound1 = args[0].coerce_to_index(self.current_env())
            bound2 = args[1].coerce_to_index(self.current_env())

        relation1, relation2 = self._find_for_from_node_relations(step_value < 0, reversed)

        bound2_ref_node = None
        if reversed:
            bound1, bound2 = bound2, bound1
            abs_step = abs(step_value)
            if abs_step != 1:
                if (isinstance(bound1.constant_result, int) and
                        isinstance(bound2.constant_result, int)):
                    # calculate final bounds now
                    if step_value < 0:
                        begin_value = bound2.constant_result
                        end_value = bound1.constant_result
                        bound1_value = begin_value - abs_step * ((begin_value - end_value - 1) // abs_step) - 1
                    else:
                        begin_value = bound1.constant_result
                        end_value = bound2.constant_result
                        bound1_value = end_value + abs_step * ((begin_value - end_value - 1) // abs_step) + 1

                    bound1 = ExprNodes.IntNode(
                        bound1.pos, value=str(bound1_value), constant_result=bound1_value,
                        type=PyrexTypes.spanning_type(bound1.type, bound2.type))
                else:
                    # evaluate the same expression as above at runtime
                    bound2_ref_node = UtilNodes.LetRefNode(bound2)
                    bound1 = self._build_range_step_calculation(
                        bound1, bound2_ref_node, step, step_value)

        if step_value < 0:
            step_value = -step_value
        step.value = str(step_value)
        step.constant_result = step_value
        step = step.coerce_to_index(self.current_env())

        if not bound2.is_literal:
            # stop bound must be immutable => keep it in a temp var
            bound2_is_temp = True
            bound2 = bound2_ref_node or UtilNodes.LetRefNode(bound2)
        else:
            bound2_is_temp = False

        for_node = Nodes.ForFromStatNode(
            node.pos,
            target=node.target,
            bound1=bound1, relation1=relation1,
            relation2=relation2, bound2=bound2,
            step=step, body=node.body,
            else_clause=node.else_clause,
            from_range=True)
        for_node.set_up_loop(self.current_env())

        if bound2_is_temp:
            for_node = UtilNodes.LetNode(bound2, for_node)

        return for_node

    def _build_range_step_calculation(self, bound1, bound2_ref_node, step, step_value):
        abs_step = abs(step_value)
        spanning_type = PyrexTypes.spanning_type(bound1.type, bound2_ref_node.type)
        if step.type.is_int and abs_step < 0x7FFF:
            # Avoid loss of integer precision warnings.
            spanning_step_type = PyrexTypes.spanning_type(spanning_type, PyrexTypes.c_int_type)
        else:
            spanning_step_type = PyrexTypes.spanning_type(spanning_type, step.type)
        if step_value < 0:
            begin_value = bound2_ref_node
            end_value = bound1
            final_op = '-'
        else:
            begin_value = bound1
            end_value = bound2_ref_node
            final_op = '+'

        step_calculation_node = ExprNodes.binop_node(
            bound1.pos,
            operand1=ExprNodes.binop_node(
                bound1.pos,
                operand1=bound2_ref_node,
                operator=final_op,  # +/-
                operand2=ExprNodes.MulNode(
                    bound1.pos,
                    operand1=ExprNodes.IntNode(
                        bound1.pos,
                        value=str(abs_step),
                        constant_result=abs_step,
                        type=spanning_step_type),
                    operator='*',
                    operand2=ExprNodes.DivNode(
                        bound1.pos,
                        operand1=ExprNodes.SubNode(
                            bound1.pos,
                            operand1=ExprNodes.SubNode(
                                bound1.pos,
                                operand1=begin_value,
                                operator='-',
                                operand2=end_value,
                                type=spanning_type),
                            operator='-',
                            operand2=ExprNodes.IntNode(
                                bound1.pos,
                                value='1',
                                constant_result=1),
                            type=spanning_step_type),
                        operator='//',
                        operand2=ExprNodes.IntNode(
                            bound1.pos,
                            value=str(abs_step),
                            constant_result=abs_step,
                            type=spanning_step_type),
                        type=spanning_step_type),
                    type=spanning_step_type),
                type=spanning_step_type),
            operator=final_op,  # +/-
            operand2=ExprNodes.IntNode(
                bound1.pos,
                value='1',
                constant_result=1),
            type=spanning_type)
        return step_calculation_node

    def _transform_dict_iteration(self, node, dict_obj, method, keys, values):
        temps = []
        temp = UtilNodes.TempHandle(PyrexTypes.py_object_type)
        temps.append(temp)
        dict_temp = temp.ref(dict_obj.pos)
        temp = UtilNodes.TempHandle(PyrexTypes.c_py_ssize_t_type)
        temps.append(temp)
        pos_temp = temp.ref(node.pos)

        key_target = value_target = tuple_target = None
        if keys and values:
            if node.target.is_sequence_constructor:
                if len(node.target.args) == 2:
                    key_target, value_target = node.target.args
                else:
                    # unusual case that may or may not lead to an error
                    return node
            else:
                tuple_target = node.target
        elif keys:
            key_target = node.target
        else:
            value_target = node.target

        if isinstance(node.body, Nodes.StatListNode):
            body = node.body
        else:
            body = Nodes.StatListNode(pos = node.body.pos,
                                      stats = [node.body])

        # keep original length to guard against dict modification
        dict_len_temp = UtilNodes.TempHandle(PyrexTypes.c_py_ssize_t_type)
        temps.append(dict_len_temp)
        dict_len_temp_addr = ExprNodes.AmpersandNode(
            node.pos, operand=dict_len_temp.ref(dict_obj.pos),
            type=PyrexTypes.c_ptr_type(dict_len_temp.type))
        temp = UtilNodes.TempHandle(PyrexTypes.c_int_type)
        temps.append(temp)
        is_dict_temp = temp.ref(node.pos)
        is_dict_temp_addr = ExprNodes.AmpersandNode(
            node.pos, operand=is_dict_temp,
            type=PyrexTypes.c_ptr_type(temp.type))

        iter_next_node = Nodes.DictIterationNextNode(
            dict_temp, dict_len_temp.ref(dict_obj.pos), pos_temp,
            key_target, value_target, tuple_target,
            is_dict_temp)
        iter_next_node = iter_next_node.analyse_expressions(self.current_env())
        body.stats[0:0] = [iter_next_node]

        if method:
            method_node = ExprNodes.StringNode(
                dict_obj.pos, is_identifier=True, value=method)
            dict_obj = dict_obj.as_none_safe_node(
                "'NoneType' object has no attribute '%{}s'".format('.30' if len(method) <= 30 else ''),
                error = "PyExc_AttributeError",
                format_args = [method])
        else:
            method_node = ExprNodes.NullNode(dict_obj.pos)
            dict_obj = dict_obj.as_none_safe_node("'NoneType' object is not iterable")

        def flag_node(value):
            value = value and 1 or 0
            return ExprNodes.IntNode(node.pos, value=str(value), constant_result=value)

        result_code = [
            Nodes.SingleAssignmentNode(
                node.pos,
                lhs = pos_temp,
                rhs = ExprNodes.IntNode(node.pos, value='0',
                                        constant_result=0)),
            Nodes.SingleAssignmentNode(
                dict_obj.pos,
                lhs = dict_temp,
                rhs = ExprNodes.PythonCapiCallNode(
                    dict_obj.pos,
                    "__Pyx_dict_iterator",
                    self.PyDict_Iterator_func_type,
                    utility_code = UtilityCode.load_cached("dict_iter", "Optimize.c"),
                    args = [dict_obj, flag_node(dict_obj.type is Builtin.dict_type),
                            method_node, dict_len_temp_addr, is_dict_temp_addr,
                            ],
                    is_temp=True,
                )),
            Nodes.WhileStatNode(
                node.pos,
                condition = None,
                body = body,
                else_clause = node.else_clause
                )
            ]

        return UtilNodes.TempsBlockNode(
            node.pos, temps=temps,
            body=Nodes.StatListNode(
                node.pos,
                stats = result_code
                ))

    PyDict_Iterator_func_type = PyrexTypes.CFuncType(
        PyrexTypes.py_object_type, [
            PyrexTypes.CFuncTypeArg("dict",  PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("is_dict",  PyrexTypes.c_int_type, None),
            PyrexTypes.CFuncTypeArg("method_name",  PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("p_orig_length",  PyrexTypes.c_py_ssize_t_ptr_type, None),
            PyrexTypes.CFuncTypeArg("p_is_dict",  PyrexTypes.c_int_ptr_type, None),
            ])

    PySet_Iterator_func_type = PyrexTypes.CFuncType(
        PyrexTypes.py_object_type, [
            PyrexTypes.CFuncTypeArg("set",  PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("is_set",  PyrexTypes.c_int_type, None),
            PyrexTypes.CFuncTypeArg("p_orig_length",  PyrexTypes.c_py_ssize_t_ptr_type, None),
            PyrexTypes.CFuncTypeArg("p_is_set",  PyrexTypes.c_int_ptr_type, None),
            ])

    def _transform_set_iteration(self, node, set_obj):
        temps = []
        temp = UtilNodes.TempHandle(PyrexTypes.py_object_type)
        temps.append(temp)
        set_temp = temp.ref(set_obj.pos)
        temp = UtilNodes.TempHandle(PyrexTypes.c_py_ssize_t_type)
        temps.append(temp)
        pos_temp = temp.ref(node.pos)

        if isinstance(node.body, Nodes.StatListNode):
            body = node.body
        else:
            body = Nodes.StatListNode(pos = node.body.pos,
                                      stats = [node.body])

        # keep original length to guard against set modification
        set_len_temp = UtilNodes.TempHandle(PyrexTypes.c_py_ssize_t_type)
        temps.append(set_len_temp)
        set_len_temp_addr = ExprNodes.AmpersandNode(
            node.pos, operand=set_len_temp.ref(set_obj.pos),
            type=PyrexTypes.c_ptr_type(set_len_temp.type))
        temp = UtilNodes.TempHandle(PyrexTypes.c_int_type)
        temps.append(temp)
        is_set_temp = temp.ref(node.pos)
        is_set_temp_addr = ExprNodes.AmpersandNode(
            node.pos, operand=is_set_temp,
            type=PyrexTypes.c_ptr_type(temp.type))

        value_target = node.target
        iter_next_node = Nodes.SetIterationNextNode(
            set_temp, set_len_temp.ref(set_obj.pos), pos_temp, value_target, is_set_temp)
        iter_next_node = iter_next_node.analyse_expressions(self.current_env())
        body.stats[0:0] = [iter_next_node]

        def flag_node(value):
            value = value and 1 or 0
            return ExprNodes.IntNode(node.pos, value=str(value), constant_result=value)

        result_code = [
            Nodes.SingleAssignmentNode(
                node.pos,
                lhs=pos_temp,
                rhs=ExprNodes.IntNode(node.pos, value='0', constant_result=0)),
            Nodes.SingleAssignmentNode(
                set_obj.pos,
                lhs=set_temp,
                rhs=ExprNodes.PythonCapiCallNode(
                    set_obj.pos,
                    "__Pyx_set_iterator",
                    self.PySet_Iterator_func_type,
                    utility_code=UtilityCode.load_cached("set_iter", "Optimize.c"),
                    args=[set_obj, flag_node(set_obj.type is Builtin.set_type),
                          set_len_temp_addr, is_set_temp_addr,
                          ],
                    is_temp=True,
                )),
            Nodes.WhileStatNode(
                node.pos,
                condition=None,
                body=body,
                else_clause=node.else_clause,
                )
            ]

        return UtilNodes.TempsBlockNode(
            node.pos, temps=temps,
            body=Nodes.StatListNode(
                node.pos,
                stats = result_code
                ))


class SwitchTransform(Visitor.EnvTransform):
    """
    This transformation tries to turn long if statements into C switch statements.
    The requirement is that every clause be an (or of) var == value, where the var
    is common among all clauses and both var and value are ints.
    """
    NO_MATCH = (None, None, None)

    def extract_conditions(self, cond, allow_not_in):
        while True:
            if isinstance(cond, (ExprNodes.CoerceToTempNode,
                                 ExprNodes.CoerceToBooleanNode)):
                cond = cond.arg
            elif isinstance(cond, ExprNodes.BoolBinopResultNode):
                cond = cond.arg.arg
            elif isinstance(cond, UtilNodes.EvalWithTempExprNode):
                # this is what we get from the FlattenInListTransform
                cond = cond.subexpression
            elif isinstance(cond, ExprNodes.TypecastNode):
                cond = cond.operand
            else:
                break

        if isinstance(cond, ExprNodes.PrimaryCmpNode):
            if cond.cascade is not None:
                return self.NO_MATCH
            elif cond.is_c_string_contains() and \
                   isinstance(cond.operand2, (ExprNodes.UnicodeNode, ExprNodes.BytesNode)):
                not_in = cond.operator == 'not_in'
                if not_in and not allow_not_in:
                    return self.NO_MATCH
                if isinstance(cond.operand2, ExprNodes.UnicodeNode) and \
                       cond.operand2.contains_surrogates():
                    # dealing with surrogates leads to different
                    # behaviour on wide and narrow Unicode
                    # platforms => refuse to optimise this case
                    return self.NO_MATCH
                return not_in, cond.operand1, self.extract_in_string_conditions(cond.operand2)
            elif not cond.is_python_comparison():
                if cond.operator == '==':
                    not_in = False
                elif allow_not_in and cond.operator == '!=':
                    not_in = True
                else:
                    return self.NO_MATCH
                # this looks somewhat silly, but it does the right
                # checks for NameNode and AttributeNode
                if is_common_value(cond.operand1, cond.operand1):
                    if cond.operand2.is_literal:
                        return not_in, cond.operand1, [cond.operand2]
                    elif getattr(cond.operand2, 'entry', None) \
                             and cond.operand2.entry.is_const:
                        return not_in, cond.operand1, [cond.operand2]
                if is_common_value(cond.operand2, cond.operand2):
                    if cond.operand1.is_literal:
                        return not_in, cond.operand2, [cond.operand1]
                    elif getattr(cond.operand1, 'entry', None) \
                             and cond.operand1.entry.is_const:
                        return not_in, cond.operand2, [cond.operand1]
        elif isinstance(cond, ExprNodes.BoolBinopNode):
            if cond.operator == 'or' or (allow_not_in and cond.operator == 'and'):
                allow_not_in = (cond.operator == 'and')
                not_in_1, t1, c1 = self.extract_conditions(cond.operand1, allow_not_in)
                not_in_2, t2, c2 = self.extract_conditions(cond.operand2, allow_not_in)
                if t1 is not None and not_in_1 == not_in_2 and is_common_value(t1, t2):
                    if (not not_in_1) or allow_not_in:
                        return not_in_1, t1, c1+c2
        return self.NO_MATCH

    def extract_in_string_conditions(self, string_literal):
        if isinstance(string_literal, ExprNodes.UnicodeNode):
            charvals = list(map(ord, set(string_literal.value)))
            charvals.sort()
            return [ ExprNodes.IntNode(string_literal.pos, value=str(charval),
                                       constant_result=charval)
                     for charval in charvals ]
        else:
            # this is a bit tricky as Py3's bytes type returns
            # integers on iteration, whereas Py2 returns 1-char byte
            # strings
            characters = string_literal.value
            characters = list({ characters[i:i+1] for i in range(len(characters)) })
            characters.sort()
            return [ ExprNodes.CharNode(string_literal.pos, value=charval,
                                        constant_result=charval)
                     for charval in characters ]

    def extract_common_conditions(self, common_var, condition, allow_not_in):
        not_in, var, conditions = self.extract_conditions(condition, allow_not_in)
        if var is None:
            return self.NO_MATCH
        elif common_var is not None and not is_common_value(var, common_var):
            return self.NO_MATCH
        elif not (var.type.is_int or var.type.is_enum) or any(
                [not (cond.type.is_int or cond.type.is_enum) for cond in conditions]):
            return self.NO_MATCH
        return not_in, var, conditions

    def has_duplicate_values(self, condition_values):
        # duplicated values don't work in a switch statement
        seen = set()
        for value in condition_values:
            if value.has_constant_result():
                if value.constant_result in seen:
                    return True
                seen.add(value.constant_result)
            else:
                # this isn't completely safe as we don't know the
                # final C value, but this is about the best we can do
                try:
                    value_entry = value.entry
                    if ((value_entry.type.is_enum or value_entry.type.is_cpp_enum)
                            and value_entry.enum_int_value is not None):
                        value_for_seen = value_entry.enum_int_value
                    else:
                        value_for_seen = value_entry.cname
                except AttributeError:
                    return True  # play safe
                if value_for_seen in seen:
                    return True
                seen.add(value_for_seen)
        return False

    def visit_IfStatNode(self, node):
        if not self.current_directives.get('optimize.use_switch'):
            self.visitchildren(node)
            return node

        common_var = None
        cases = []
        for if_clause in node.if_clauses:
            _, common_var, conditions = self.extract_common_conditions(
                common_var, if_clause.condition, False)
            if common_var is None:
                self.visitchildren(node)
                return node
            cases.append(Nodes.SwitchCaseNode(pos=if_clause.pos,
                                              conditions=conditions,
                                              body=if_clause.body))

        condition_values = [
            cond for case in cases for cond in case.conditions]
        if len(condition_values) < 2:
            self.visitchildren(node)
            return node
        if self.has_duplicate_values(condition_values):
            self.visitchildren(node)
            return node

        # Recurse into body subtrees that we left untouched so far.
        self.visitchildren(node, 'else_clause')
        for case in cases:
            self.visitchildren(case, 'body')

        common_var = unwrap_node(common_var)
        switch_node = Nodes.SwitchStatNode(pos=node.pos,
                                           test=common_var,
                                           cases=cases,
                                           else_clause=node.else_clause)
        return switch_node

    def visit_CondExprNode(self, node):
        if not self.current_directives.get('optimize.use_switch'):
            self.visitchildren(node)
            return node

        not_in, common_var, conditions = self.extract_common_conditions(
            None, node.test, True)
        if common_var is None \
                or len(conditions) < 2 \
                or self.has_duplicate_values(conditions):
            self.visitchildren(node)
            return node

        return self.build_simple_switch_statement(
            node, common_var, conditions, not_in,
            node.true_val, node.false_val)

    def visit_BoolBinopNode(self, node):
        if not self.current_directives.get('optimize.use_switch'):
            self.visitchildren(node)
            return node

        not_in, common_var, conditions = self.extract_common_conditions(
            None, node, True)
        if common_var is None \
                or len(conditions) < 2 \
                or self.has_duplicate_values(conditions):
            self.visitchildren(node)
            node.wrap_operands(self.current_env())  # in case we changed the operands
            return node

        return self.build_simple_switch_statement(
            node, common_var, conditions, not_in,
            ExprNodes.BoolNode(node.pos, value=True, constant_result=True),
            ExprNodes.BoolNode(node.pos, value=False, constant_result=False))

    def visit_PrimaryCmpNode(self, node):
        if not self.current_directives.get('optimize.use_switch'):
            self.visitchildren(node)
            return node

        not_in, common_var, conditions = self.extract_common_conditions(
            None, node, True)
        if common_var is None \
                or len(conditions) < 2 \
                or self.has_duplicate_values(conditions):
            self.visitchildren(node)
            return node

        return self.build_simple_switch_statement(
            node, common_var, conditions, not_in,
            ExprNodes.BoolNode(node.pos, value=True, constant_result=True),
            ExprNodes.BoolNode(node.pos, value=False, constant_result=False))

    def build_simple_switch_statement(self, node, common_var, conditions,
                                      not_in, true_val, false_val):
        result_ref = UtilNodes.ResultRefNode(node)
        true_body = Nodes.SingleAssignmentNode(
            node.pos,
            lhs=result_ref,
            rhs=true_val.coerce_to(node.type, self.current_env()),
            first=True)
        false_body = Nodes.SingleAssignmentNode(
            node.pos,
            lhs=result_ref,
            rhs=false_val.coerce_to(node.type, self.current_env()),
            first=True)

        if not_in:
            true_body, false_body = false_body, true_body

        cases = [Nodes.SwitchCaseNode(pos = node.pos,
                                      conditions = conditions,
                                      body = true_body)]

        common_var = unwrap_node(common_var)
        switch_node = Nodes.SwitchStatNode(pos = node.pos,
                                           test = common_var,
                                           cases = cases,
                                           else_clause = false_body)
        replacement = UtilNodes.TempResultFromStatNode(result_ref, switch_node)
        return replacement

    def visit_EvalWithTempExprNode(self, node):
        if not self.current_directives.get('optimize.use_switch'):
            self.visitchildren(node)
            return node

        # drop unused expression temp from FlattenInListTransform
        orig_expr = node.subexpression
        temp_ref = node.lazy_temp
        self.visitchildren(node)
        if node.subexpression is not orig_expr:
            # node was restructured => check if temp is still used
            if not Visitor.tree_contains(node.subexpression, temp_ref):
                return node.subexpression
        return node

    visit_Node = Visitor.VisitorTransform.recurse_to_children


class FlattenInListTransform(Visitor.VisitorTransform, SkipDeclarations):
    """
    This transformation flattens "x in [val1, ..., valn]" into a sequential list
    of comparisons.
    """

    def visit_PrimaryCmpNode(self, node):
        self.visitchildren(node)
        if node.cascade is not None:
            return node
        elif node.operator == 'in':
            conjunction = 'or'
            eq_or_neq = '=='
        elif node.operator == 'not_in':
            conjunction = 'and'
            eq_or_neq = '!='
        else:
            return node

        if not isinstance(node.operand2, (ExprNodes.TupleNode,
                                          ExprNodes.ListNode,
                                          ExprNodes.SetNode)):
            return node

        args = node.operand2.args
        if len(args) == 0:
            # note: lhs may have side effects
            return node

        if any([arg.is_starred for arg in args]):
            # Starred arguments do not directly translate to comparisons or "in" tests.
            return node

        lhs = UtilNodes.ResultRefNode(node.operand1)

        conds = []
        temps = []
        for arg in args:
            try:
                # Trial optimisation to avoid redundant temp
                # assignments.  However, since is_simple() is meant to
                # be called after type analysis, we ignore any errors
                # and just play safe in that case.
                is_simple_arg = arg.is_simple()
            except Exception:
                is_simple_arg = False
            if not is_simple_arg:
                # must evaluate all non-simple RHS before doing the comparisons
                arg = UtilNodes.LetRefNode(arg)
                temps.append(arg)
            cond = ExprNodes.PrimaryCmpNode(
                                pos = node.pos,
                                operand1 = lhs,
                                operator = eq_or_neq,
                                operand2 = arg,
                                cascade = None)
            conds.append(ExprNodes.TypecastNode(
                                pos = node.pos,
                                operand = cond,
                                type = PyrexTypes.c_bint_type))
        def concat(left, right):
            return ExprNodes.BoolBinopNode(
                                pos = node.pos,
                                operator = conjunction,
                                operand1 = left,
                                operand2 = right)

        condition = reduce(concat, conds)
        new_node = UtilNodes.EvalWithTempExprNode(lhs, condition)
        for temp in temps[::-1]:
            new_node = UtilNodes.EvalWithTempExprNode(temp, new_node)
        return new_node

    visit_Node = Visitor.VisitorTransform.recurse_to_children


class DropRefcountingTransform(Visitor.VisitorTransform):
    """Drop ref-counting in safe places.
    """
    visit_Node = Visitor.VisitorTransform.recurse_to_children

    def visit_ParallelAssignmentNode(self, node):
        """
        Parallel swap assignments like 'a,b = b,a' are safe.
        """
        left_names, right_names = [], []
        left_indices, right_indices = [], []
        temps = []

        for stat in node.stats:
            if isinstance(stat, Nodes.SingleAssignmentNode):
                if not self._extract_operand(stat.lhs, left_names,
                                             left_indices, temps):
                    return node
                if not self._extract_operand(stat.rhs, right_names,
                                             right_indices, temps):
                    return node
            elif isinstance(stat, Nodes.CascadedAssignmentNode):
                # FIXME
                return node
            else:
                return node

        if left_names or right_names:
            # lhs/rhs names must be a non-redundant permutation
            lnames = [ path for path, n in left_names ]
            rnames = [ path for path, n in right_names ]
            if set(lnames) != set(rnames):
                return node
            if len(set(lnames)) != len(right_names):
                return node

        if left_indices or right_indices:
            # base name and index of index nodes must be a
            # non-redundant permutation
            lindices = []
            for lhs_node in left_indices:
                index_id = self._extract_index_id(lhs_node)
                if not index_id:
                    return node
                lindices.append(index_id)
            rindices = []
            for rhs_node in right_indices:
                index_id = self._extract_index_id(rhs_node)
                if not index_id:
                    return node
                rindices.append(index_id)

            if set(lindices) != set(rindices):
                return node
            if len(set(lindices)) != len(right_indices):
                return node

            # really supporting IndexNode requires support in
            # __Pyx_GetItemInt(), so let's stop short for now
            return node

        temp_args = [t.arg for t in temps]
        for temp in temps:
            temp.use_managed_ref = False

        for _, name_node in left_names + right_names:
            if name_node not in temp_args:
                name_node.use_managed_ref = False

        for index_node in left_indices + right_indices:
            index_node.use_managed_ref = False

        return node

    def _extract_operand(self, node, names, indices, temps):
        node = unwrap_node(node)
        if not node.type.is_pyobject:
            return False
        if isinstance(node, ExprNodes.CoerceToTempNode):
            temps.append(node)
            node = node.arg
        name_path = []
        obj_node = node
        while obj_node.is_attribute:
            if obj_node.is_py_attr:
                return False
            name_path.append(obj_node.member)
            obj_node = obj_node.obj
        if obj_node.is_name:
            name_path.append(obj_node.name)
            names.append( ('.'.join(name_path[::-1]), node) )
        elif node.is_subscript:
            if node.base.type != Builtin.list_type:
                return False
            if not node.index.type.is_int:
                return False
            if not node.base.is_name:
                return False
            indices.append(node)
        else:
            return False
        return True

    def _extract_index_id(self, index_node):
        base = index_node.base
        index = index_node.index
        if isinstance(index, ExprNodes.NameNode):
            index_val = index.name
        elif isinstance(index, ExprNodes.ConstNode):
            # FIXME:
            return None
        else:
            return None
        return (base.name, index_val)


class EarlyReplaceBuiltinCalls(Visitor.EnvTransform):
    """Optimize some common calls to builtin types *before* the type
    analysis phase and *after* the declarations analysis phase.

    This transform cannot make use of any argument types, but it can
    restructure the tree in a way that the type analysis phase can
    respond to.

    Introducing C function calls here may not be a good idea.  Move
    them to the OptimizeBuiltinCalls transform instead, which runs
    after type analysis.
    """
    # only intercept on call nodes
    visit_Node = Visitor.VisitorTransform.recurse_to_children

    def visit_SimpleCallNode(self, node):
        self.visitchildren(node)
        function = node.function
        if not self._function_is_builtin_name(function):
            return node
        return self._dispatch_to_handler(node, function, node.args)

    def visit_GeneralCallNode(self, node):
        self.visitchildren(node)
        function = node.function
        if not self._function_is_builtin_name(function):
            return node
        arg_tuple = node.positional_args
        if not isinstance(arg_tuple, ExprNodes.TupleNode):
            return node
        args = arg_tuple.args
        return self._dispatch_to_handler(
            node, function, args, node.keyword_args)

    def _function_is_builtin_name(self, function):
        if not function.is_name:
            return False
        env = self.current_env()
        entry = env.lookup(function.name)
        if entry is not env.builtin_scope().lookup_here(function.name):
            return False
        # if entry is None, it's at least an undeclared name, so likely builtin
        return True

    def _dispatch_to_handler(self, node, function, args, kwargs=None):
        if kwargs is None:
            handler_name = '_handle_simple_function_%s' % function.name
        else:
            handler_name = '_handle_general_function_%s' % function.name
        handle_call = getattr(self, handler_name, None)
        if handle_call is not None:
            if kwargs is None:
                return handle_call(node, args)
            else:
                return handle_call(node, args, kwargs)
        return node

    def _inject_capi_function(self, node, cname, func_type, utility_code=None):
        node.function = ExprNodes.PythonCapiFunctionNode(
            node.function.pos, node.function.name, cname, func_type,
            utility_code = utility_code)

    def _error_wrong_arg_count(self, function_name, node, args, expected=None):
        if not expected:  # None or 0
            arg_str = ''
        elif isinstance(expected, str) or expected > 1:
            arg_str = '...'
        elif expected == 1:
            arg_str = 'x'
        else:
            arg_str = ''
        if expected is not None:
            expected_str = 'expected %s, ' % expected
        else:
            expected_str = ''
        error(node.pos, "%s(%s) called with wrong number of args, %sfound %d" % (
            function_name, arg_str, expected_str, len(args)))

    # specific handlers for simple call nodes

    def _handle_simple_function_float(self, node, pos_args):
        if not pos_args:
            return ExprNodes.FloatNode(node.pos, value='0.0')
        if len(pos_args) > 1:
            self._error_wrong_arg_count('float', node, pos_args, 1)
        arg_type = getattr(pos_args[0], 'type', None)
        if arg_type in (PyrexTypes.c_double_type, Builtin.float_type):
            return pos_args[0]
        return node

    def _handle_simple_function_slice(self, node, pos_args):
        arg_count = len(pos_args)
        start = step = None
        if arg_count == 1:
            stop, = pos_args
        elif arg_count == 2:
            start, stop = pos_args
        elif arg_count == 3:
            start, stop, step = pos_args
        else:
            self._error_wrong_arg_count('slice', node, pos_args)
            return node
        return ExprNodes.SliceNode(
            node.pos,
            start=start or ExprNodes.NoneNode(node.pos),
            stop=stop,
            step=step or ExprNodes.NoneNode(node.pos))

    def _handle_simple_function_ord(self, node, pos_args):
        """Unpack ord('X').
        """
        if len(pos_args) != 1:
            return node
        arg = pos_args[0]
        if isinstance(arg, (ExprNodes.UnicodeNode, ExprNodes.BytesNode)):
            if len(arg.value) == 1:
                return ExprNodes.IntNode(
                    arg.pos, type=PyrexTypes.c_long_type,
                    value=str(ord(arg.value)),
                    constant_result=ord(arg.value)
                )
        elif isinstance(arg, ExprNodes.StringNode):
            if arg.unicode_value and len(arg.unicode_value) == 1 \
                    and ord(arg.unicode_value) <= 255:  # Py2/3 portability
                return ExprNodes.IntNode(
                    arg.pos, type=PyrexTypes.c_int_type,
                    value=str(ord(arg.unicode_value)),
                    constant_result=ord(arg.unicode_value)
                )
        return node

    # sequence processing

    def _handle_simple_function_all(self, node, pos_args):
        """Transform

        _result = all(p(x) for L in LL for x in L)

        into

        for L in LL:
            for x in L:
                if not p(x):
                    return False
        else:
            return True
        """
        return self._transform_any_all(node, pos_args, False)

    def _handle_simple_function_any(self, node, pos_args):
        """Transform

        _result = any(p(x) for L in LL for x in L)

        into

        for L in LL:
            for x in L:
                if p(x):
                    return True
        else:
            return False
        """
        return self._transform_any_all(node, pos_args, True)

    def _transform_any_all(self, node, pos_args, is_any):
        if len(pos_args) != 1:
            return node
        if not isinstance(pos_args[0], ExprNodes.GeneratorExpressionNode):
            return node
        gen_expr_node = pos_args[0]
        generator_body = gen_expr_node.def_node.gbody
        loop_node = generator_body.body
        yield_expression, yield_stat_node = _find_single_yield_expression(loop_node)
        if yield_expression is None:
            return node

        if is_any:
            condition = yield_expression
        else:
            condition = ExprNodes.NotNode(yield_expression.pos, operand=yield_expression)

        test_node = Nodes.IfStatNode(
            yield_expression.pos, else_clause=None, if_clauses=[
                Nodes.IfClauseNode(
                    yield_expression.pos,
                    condition=condition,
                    body=Nodes.ReturnStatNode(
                        node.pos,
                        value=ExprNodes.BoolNode(yield_expression.pos, value=is_any, constant_result=is_any))
                )]
        )
        loop_node.else_clause = Nodes.ReturnStatNode(
            node.pos,
            value=ExprNodes.BoolNode(yield_expression.pos, value=not is_any, constant_result=not is_any))

        Visitor.recursively_replace_node(gen_expr_node, yield_stat_node, test_node)

        return ExprNodes.InlinedGeneratorExpressionNode(
            gen_expr_node.pos, gen=gen_expr_node, orig_func='any' if is_any else 'all')

    PySequence_List_func_type = PyrexTypes.CFuncType(
        Builtin.list_type,
        [PyrexTypes.CFuncTypeArg("it", PyrexTypes.py_object_type, None)])

    def _handle_simple_function_sorted(self, node, pos_args):
        """Transform sorted(genexpr) and sorted([listcomp]) into
        [listcomp].sort().  CPython just reads the iterable into a
        list and calls .sort() on it.  Expanding the iterable in a
        listcomp is still faster and the result can be sorted in
        place.
        """
        if len(pos_args) != 1:
            return node

        arg = pos_args[0]
        if isinstance(arg, ExprNodes.ComprehensionNode) and arg.type is Builtin.list_type:
            list_node = arg
            loop_node = list_node.loop

        elif isinstance(arg, ExprNodes.GeneratorExpressionNode):
            gen_expr_node = arg
            loop_node = gen_expr_node.loop
            yield_statements = _find_yield_statements(loop_node)
            if not yield_statements:
                return node

            list_node = ExprNodes.InlinedGeneratorExpressionNode(
                node.pos, gen_expr_node, orig_func='sorted',
                comprehension_type=Builtin.list_type)

            for yield_expression, yield_stat_node in yield_statements:
                append_node = ExprNodes.ComprehensionAppendNode(
                    yield_expression.pos,
                    expr=yield_expression,
                    target=list_node.target)
                Visitor.recursively_replace_node(gen_expr_node, yield_stat_node, append_node)

        elif arg.is_sequence_constructor:
            # sorted([a, b, c]) or sorted((a, b, c)).  The result is always a list,
            # so starting off with a fresh one is more efficient.
            list_node = loop_node = arg.as_list()

        else:
            # Interestingly, PySequence_List works on a lot of non-sequence
            # things as well.
            list_node = loop_node = ExprNodes.PythonCapiCallNode(
                node.pos,
                "__Pyx_PySequence_ListKeepNew"
                    if arg.is_temp and arg.type in (PyrexTypes.py_object_type, Builtin.list_type)
                    else "PySequence_List",
                self.PySequence_List_func_type,
                args=pos_args, is_temp=True)

        result_node = UtilNodes.ResultRefNode(
            pos=loop_node.pos, type=Builtin.list_type, may_hold_none=False)
        list_assign_node = Nodes.SingleAssignmentNode(
            node.pos, lhs=result_node, rhs=list_node, first=True)

        sort_method = ExprNodes.AttributeNode(
            node.pos, obj=result_node, attribute=EncodedString('sort'),
            # entry ? type ?
            needs_none_check=False)
        sort_node = Nodes.ExprStatNode(
            node.pos, expr=ExprNodes.SimpleCallNode(
                node.pos, function=sort_method, args=[]))

        sort_node.analyse_declarations(self.current_env())

        return UtilNodes.TempResultFromStatNode(
            result_node,
            Nodes.StatListNode(node.pos, stats=[list_assign_node, sort_node]))

    def __handle_simple_function_sum(self, node, pos_args):
        """Transform sum(genexpr) into an equivalent inlined aggregation loop.
        """
        if len(pos_args) not in (1,2):
            return node
        if not isinstance(pos_args[0], (ExprNodes.GeneratorExpressionNode,
                                        ExprNodes.ComprehensionNode)):
            return node
        gen_expr_node = pos_args[0]
        loop_node = gen_expr_node.loop

        if isinstance(gen_expr_node, ExprNodes.GeneratorExpressionNode):
            yield_expression, yield_stat_node = _find_single_yield_expression(loop_node)
            # FIXME: currently nonfunctional
            yield_expression = None
            if yield_expression is None:
                return node
        else:  # ComprehensionNode
            yield_stat_node = gen_expr_node.append
            yield_expression = yield_stat_node.expr
            try:
                if not yield_expression.is_literal or not yield_expression.type.is_int:
                    return node
            except AttributeError:
                return node  # in case we don't have a type yet
            # special case: old Py2 backwards compatible "sum([int_const for ...])"
            # can safely be unpacked into a genexpr

        if len(pos_args) == 1:
            start = ExprNodes.IntNode(node.pos, value='0', constant_result=0)
        else:
            start = pos_args[1]

        result_ref = UtilNodes.ResultRefNode(pos=node.pos, type=PyrexTypes.py_object_type)
        add_node = Nodes.SingleAssignmentNode(
            yield_expression.pos,
            lhs = result_ref,
            rhs = ExprNodes.binop_node(node.pos, '+', result_ref, yield_expression)
            )

        Visitor.recursively_replace_node(gen_expr_node, yield_stat_node, add_node)

        exec_code = Nodes.StatListNode(
            node.pos,
            stats = [
                Nodes.SingleAssignmentNode(
                    start.pos,
                    lhs = UtilNodes.ResultRefNode(pos=node.pos, expression=result_ref),
                    rhs = start,
                    first = True),
                loop_node
                ])

        return ExprNodes.InlinedGeneratorExpressionNode(
            gen_expr_node.pos, loop = exec_code, result_node = result_ref,
            expr_scope = gen_expr_node.expr_scope, orig_func = 'sum',
            has_local_scope = gen_expr_node.has_local_scope)

    def _handle_simple_function_min(self, node, pos_args):
        return self._optimise_min_max(node, pos_args, '<')

    def _handle_simple_function_max(self, node, pos_args):
        return self._optimise_min_max(node, pos_args, '>')

    def _optimise_min_max(self, node, args, operator):
        """Replace min(a,b,...) and max(a,b,...) by explicit comparison code.
        """
        if len(args) <= 1:
            if len(args) == 1 and args[0].is_sequence_constructor:
                args = args[0].args
            if len(args) <= 1:
                # leave this to Python
                return node

        cascaded_nodes = list(map(UtilNodes.ResultRefNode, args[1:]))

        last_result = args[0]
        for arg_node in cascaded_nodes:
            result_ref = UtilNodes.ResultRefNode(last_result)
            last_result = ExprNodes.CondExprNode(
                arg_node.pos,
                true_val = arg_node,
                false_val = result_ref,
                test = ExprNodes.PrimaryCmpNode(
                    arg_node.pos,
                    operand1 = arg_node,
                    operator = operator,
                    operand2 = result_ref,
                    )
                )
            last_result = UtilNodes.EvalWithTempExprNode(result_ref, last_result)

        for ref_node in cascaded_nodes[::-1]:
            last_result = UtilNodes.EvalWithTempExprNode(ref_node, last_result)

        return last_result

    # builtin type creation

    def _DISABLED_handle_simple_function_tuple(self, node, pos_args):
        if not pos_args:
            return ExprNodes.TupleNode(node.pos, args=[], constant_result=())
        # This is a bit special - for iterables (including genexps),
        # Python actually overallocates and resizes a newly created
        # tuple incrementally while reading items, which we can't
        # easily do without explicit node support. Instead, we read
        # the items into a list and then copy them into a tuple of the
        # final size.  This takes up to twice as much memory, but will
        # have to do until we have real support for genexps.
        result = self._transform_list_set_genexpr(node, pos_args, Builtin.list_type)
        if result is not node:
            return ExprNodes.AsTupleNode(node.pos, arg=result)
        return node

    def _handle_simple_function_frozenset(self, node, pos_args):
        """Replace frozenset([...]) by frozenset((...)) as tuples are more efficient.
        """
        if len(pos_args) != 1:
            return node
        if pos_args[0].is_sequence_constructor and not pos_args[0].args:
            del pos_args[0]
        elif isinstance(pos_args[0], ExprNodes.ListNode):
            pos_args[0] = pos_args[0].as_tuple()
        return node

    def _handle_simple_function_list(self, node, pos_args):
        if not pos_args:
            return ExprNodes.ListNode(node.pos, args=[], constant_result=[])
        return self._transform_list_set_genexpr(node, pos_args, Builtin.list_type)

    def _handle_simple_function_set(self, node, pos_args):
        if not pos_args:
            return ExprNodes.SetNode(node.pos, args=[], constant_result=set())
        return self._transform_list_set_genexpr(node, pos_args, Builtin.set_type)

    def _transform_list_set_genexpr(self, node, pos_args, target_type):
        """Replace set(genexpr) and list(genexpr) by an inlined comprehension.
        """
        if len(pos_args) > 1:
            return node
        if not isinstance(pos_args[0], ExprNodes.GeneratorExpressionNode):
            return node
        gen_expr_node = pos_args[0]
        loop_node = gen_expr_node.loop

        yield_statements = _find_yield_statements(loop_node)
        if not yield_statements:
            return node

        result_node = ExprNodes.InlinedGeneratorExpressionNode(
            node.pos, gen_expr_node,
            orig_func='set' if target_type is Builtin.set_type else 'list',
            comprehension_type=target_type)

        for yield_expression, yield_stat_node in yield_statements:
            append_node = ExprNodes.ComprehensionAppendNode(
                yield_expression.pos,
                expr=yield_expression,
                target=result_node.target)
            Visitor.recursively_replace_node(gen_expr_node, yield_stat_node, append_node)

        return result_node

    def _handle_simple_function_dict(self, node, pos_args):
        """Replace dict( (a,b) for ... ) by an inlined { a:b for ... }
        """
        if len(pos_args) == 0:
            return ExprNodes.DictNode(node.pos, key_value_pairs=[], constant_result={})
        if len(pos_args) > 1:
            return node
        if not isinstance(pos_args[0], ExprNodes.GeneratorExpressionNode):
            return node
        gen_expr_node = pos_args[0]
        loop_node = gen_expr_node.loop

        yield_statements = _find_yield_statements(loop_node)
        if not yield_statements:
            return node

        for yield_expression, _ in yield_statements:
            if not isinstance(yield_expression, ExprNodes.TupleNode):
                return node
            if len(yield_expression.args) != 2:
                return node

        result_node = ExprNodes.InlinedGeneratorExpressionNode(
            node.pos, gen_expr_node, orig_func='dict',
            comprehension_type=Builtin.dict_type)

        for yield_expression, yield_stat_node in yield_statements:
            append_node = ExprNodes.DictComprehensionAppendNode(
                yield_expression.pos,
                key_expr=yield_expression.args[0],
                value_expr=yield_expression.args[1],
                target=result_node.target)
            Visitor.recursively_replace_node(gen_expr_node, yield_stat_node, append_node)

        return result_node

    # specific handlers for general call nodes

    def _handle_general_function_dict(self, node, pos_args, kwargs):
        """Replace dict(a=b,c=d,...) by the underlying keyword dict
        construction which is done anyway.
        """
        if len(pos_args) > 0:
            return node
        if not isinstance(kwargs, ExprNodes.DictNode):
            return node
        return kwargs


class InlineDefNodeCalls(Visitor.NodeRefCleanupMixin, Visitor.EnvTransform):
    visit_Node = Visitor.VisitorTransform.recurse_to_children

    def get_constant_value_node(self, name_node):
        if name_node.cf_state is None:
            return None
        if name_node.cf_state.cf_is_null:
            return None
        entry = self.current_env().lookup(name_node.name)
        if not entry or (not entry.cf_assignments
                         or len(entry.cf_assignments) != 1):
            # not just a single assignment in all closures
            return None
        return entry.cf_assignments[0].rhs

    def visit_SimpleCallNode(self, node):
        self.visitchildren(node)
        if not self.current_directives.get('optimize.inline_defnode_calls'):
            return node
        function_name = node.function
        if not function_name.is_name:
            return node
        function = self.get_constant_value_node(function_name)
        if not isinstance(function, ExprNodes.PyCFunctionNode):
            return node
        inlined = ExprNodes.InlinedDefNodeCallNode(
            node.pos, function_name=function_name,
            function=function, args=node.args,
            generator_arg_tag=node.generator_arg_tag)
        if inlined.can_be_inlined():
            return self.replace(node, inlined)
        return node


class OptimizeBuiltinCalls(Visitor.NodeRefCleanupMixin,
                           Visitor.MethodDispatcherTransform):
    """Optimize some common methods calls and instantiation patterns
    for builtin types *after* the type analysis phase.

    Running after type analysis, this transform can only perform
    function replacements that do not alter the function return type
    in a way that was not anticipated by the type analysis.
    """
    ### cleanup to avoid redundant coercions to/from Python types

    def visit_PyTypeTestNode(self, node):
        """Flatten redundant type checks after tree changes.
        """
        self.visitchildren(node)
        return node.reanalyse()

    def _visit_TypecastNode(self, node):
        # disabled - the user may have had a reason to put a type
        # cast, even if it looks redundant to Cython
        """
        Drop redundant type casts.
        """
        self.visitchildren(node)
        if node.type == node.operand.type:
            return node.operand
        return node

    def visit_ExprStatNode(self, node):
        """
        Drop dead code and useless coercions.
        """
        self.visitchildren(node)
        if isinstance(node.expr, ExprNodes.CoerceToPyTypeNode):
            node.expr = node.expr.arg
        expr = node.expr
        if expr is None or expr.is_none or expr.is_literal:
            # Expression was removed or is dead code => remove ExprStatNode as well.
            return None
        if expr.is_name and expr.entry and (expr.entry.is_local or expr.entry.is_arg):
            # Ignore dead references to local variables etc.
            return None
        return node

    def visit_CoerceToBooleanNode(self, node):
        """Drop redundant conversion nodes after tree changes.
        """
        self.visitchildren(node)
        arg = node.arg
        if isinstance(arg, ExprNodes.PyTypeTestNode):
            arg = arg.arg
        if isinstance(arg, ExprNodes.CoerceToPyTypeNode):
            if arg.type in (PyrexTypes.py_object_type, Builtin.bool_type):
                return arg.arg.coerce_to_boolean(self.current_env())
        return node

    PyNumber_Float_func_type = PyrexTypes.CFuncType(
        PyrexTypes.py_object_type, [
            PyrexTypes.CFuncTypeArg("o", PyrexTypes.py_object_type, None)
            ])

    def visit_CoerceToPyTypeNode(self, node):
        """Drop redundant conversion nodes after tree changes."""
        self.visitchildren(node)
        arg = node.arg
        if isinstance(arg, ExprNodes.CoerceFromPyTypeNode):
            arg = arg.arg
        if isinstance(arg, ExprNodes.PythonCapiCallNode):
            if arg.function.name == 'float' and len(arg.args) == 1:
                # undo redundant Py->C->Py coercion
                func_arg = arg.args[0]
                if func_arg.type is Builtin.float_type:
                    return func_arg.as_none_safe_node("float() argument must be a string or a number, not 'NoneType'")
                elif func_arg.type.is_pyobject and arg.function.cname == "__Pyx_PyObject_AsDouble":
                    return ExprNodes.PythonCapiCallNode(
                        node.pos, '__Pyx_PyNumber_Float', self.PyNumber_Float_func_type,
                        args=[func_arg],
                        py_name='float',
                        is_temp=node.is_temp,
                        utility_code = UtilityCode.load_cached("pynumber_float", "TypeConversion.c"),
                        result_is_used=node.result_is_used,
                    ).coerce_to(node.type, self.current_env())
        return node

    def visit_CoerceFromPyTypeNode(self, node):
        """Drop redundant conversion nodes after tree changes.

        Also, optimise away calls to Python's builtin int() and
        float() if the result is going to be coerced back into a C
        type anyway.
        """
        self.visitchildren(node)
        arg = node.arg
        if not arg.type.is_pyobject:
            # no Python conversion left at all, just do a C coercion instead
            if node.type != arg.type:
                arg = arg.coerce_to(node.type, self.current_env())
            return arg
        if isinstance(arg, ExprNodes.PyTypeTestNode):
            arg = arg.arg
        if arg.is_literal:
            if (node.type.is_int and isinstance(arg, ExprNodes.IntNode) or
                    node.type.is_float and isinstance(arg, ExprNodes.FloatNode) or
                    node.type.is_int and isinstance(arg, ExprNodes.BoolNode)):
                return arg.coerce_to(node.type, self.current_env())
        elif isinstance(arg, ExprNodes.CoerceToPyTypeNode):
            if arg.type is PyrexTypes.py_object_type:
                if node.type.assignable_from(arg.arg.type):
                    # completely redundant C->Py->C coercion
                    return arg.arg.coerce_to(node.type, self.current_env())
            elif arg.type is Builtin.unicode_type:
                if arg.arg.type.is_unicode_char and node.type.is_unicode_char:
                    return arg.arg.coerce_to(node.type, self.current_env())
        elif isinstance(arg, ExprNodes.SimpleCallNode):
            if node.type.is_int or node.type.is_float:
                return self._optimise_numeric_cast_call(node, arg)
        elif arg.is_subscript:
            index_node = arg.index
            if isinstance(index_node, ExprNodes.CoerceToPyTypeNode):
                index_node = index_node.arg
            if index_node.type.is_int:
                return self._optimise_int_indexing(node, arg, index_node)
        return node

    PyBytes_GetItemInt_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_char_type, [
            PyrexTypes.CFuncTypeArg("bytes", Builtin.bytes_type, None),
            PyrexTypes.CFuncTypeArg("index", PyrexTypes.c_py_ssize_t_type, None),
            PyrexTypes.CFuncTypeArg("check_bounds", PyrexTypes.c_int_type, None),
            ],
        exception_value = "((char)-1)",
        exception_check = True)

    def _optimise_int_indexing(self, coerce_node, arg, index_node):
        env = self.current_env()
        bound_check_bool = env.directives['boundscheck'] and 1 or 0
        if arg.base.type is Builtin.bytes_type:
            if coerce_node.type in (PyrexTypes.c_char_type, PyrexTypes.c_uchar_type):
                # bytes[index] -> char
                bound_check_node = ExprNodes.IntNode(
                    coerce_node.pos, value=str(bound_check_bool),
                    constant_result=bound_check_bool)
                node = ExprNodes.PythonCapiCallNode(
                    coerce_node.pos, "__Pyx_PyBytes_GetItemInt",
                    self.PyBytes_GetItemInt_func_type,
                    args=[
                        arg.base.as_none_safe_node("'NoneType' object is not subscriptable"),
                        index_node.coerce_to(PyrexTypes.c_py_ssize_t_type, env),
                        bound_check_node,
                        ],
                    is_temp=True,
                    utility_code=UtilityCode.load_cached(
                        'bytes_index', 'StringTools.c'))
                if coerce_node.type is not PyrexTypes.c_char_type:
                    node = node.coerce_to(coerce_node.type, env)
                return node
        return coerce_node

    float_float_func_types = {
        float_type: PyrexTypes.CFuncType(
            float_type, [
                PyrexTypes.CFuncTypeArg("arg", float_type, None)
            ])
        for float_type in (PyrexTypes.c_float_type, PyrexTypes.c_double_type, PyrexTypes.c_longdouble_type)
    }

    def _optimise_numeric_cast_call(self, node, arg):
        function = arg.function
        args = None
        if isinstance(arg, ExprNodes.PythonCapiCallNode):
            args = arg.args
        elif isinstance(function, ExprNodes.NameNode):
            if function.type.is_builtin_type and isinstance(arg.arg_tuple, ExprNodes.TupleNode):
                args = arg.arg_tuple.args

        if args is None or len(args) != 1:
            return node
        func_arg = args[0]
        if isinstance(func_arg, ExprNodes.CoerceToPyTypeNode):
            func_arg = func_arg.arg
        elif func_arg.type.is_pyobject:
            # play it safe: Python conversion might work on all sorts of things
            return node

        if function.name == 'int':
            if func_arg.type.is_int or node.type.is_int:
                if func_arg.type == node.type:
                    return func_arg
                elif func_arg.type in (PyrexTypes.c_py_ucs4_type, PyrexTypes.c_py_unicode_type):
                    # need to parse (<Py_UCS4>'1') as digit 1
                    return self._pyucs4_to_number(node, function.name, func_arg)
                elif node.type.assignable_from(func_arg.type) or func_arg.type.is_float:
                    return ExprNodes.TypecastNode(node.pos, operand=func_arg, type=node.type)
            elif func_arg.type.is_float and node.type.is_numeric:
                if func_arg.type.math_h_modifier == 'l':
                    # Work around missing Cygwin definition.
                    truncl = '__Pyx_truncl'
                else:
                    truncl = 'trunc' + func_arg.type.math_h_modifier
                return ExprNodes.PythonCapiCallNode(
                    node.pos, truncl,
                    func_type=self.float_float_func_types[func_arg.type],
                    args=[func_arg],
                    py_name='int',
                    is_temp=node.is_temp,
                    result_is_used=node.result_is_used,
                ).coerce_to(node.type, self.current_env())
        elif function.name == 'float':
            if func_arg.type.is_float or node.type.is_float:
                if func_arg.type == node.type:
                    return func_arg
                elif func_arg.type in (PyrexTypes.c_py_ucs4_type, PyrexTypes.c_py_unicode_type):
                    # need to parse (<Py_UCS4>'1') as digit 1
                    return self._pyucs4_to_number(node, function.name, func_arg)
                elif node.type.assignable_from(func_arg.type) or func_arg.type.is_float:
                    return ExprNodes.TypecastNode(
                        node.pos, operand=func_arg, type=node.type)
        return node

    pyucs4_int_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_int_type, [
            PyrexTypes.CFuncTypeArg("arg", PyrexTypes.c_py_ucs4_type, None)
        ],
        exception_value="-1")

    pyucs4_double_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_double_type, [
            PyrexTypes.CFuncTypeArg("arg", PyrexTypes.c_py_ucs4_type, None)
        ],
        exception_value="-1.0")

    def _pyucs4_to_number(self, node, py_type_name, func_arg):
        assert py_type_name in ("int", "float")
        return ExprNodes.PythonCapiCallNode(
            node.pos, "__Pyx_int_from_UCS4" if py_type_name == "int" else "__Pyx_double_from_UCS4",
            func_type=self.pyucs4_int_func_type if py_type_name == "int" else self.pyucs4_double_func_type,
            args=[func_arg],
            py_name=py_type_name,
            is_temp=node.is_temp,
            result_is_used=node.result_is_used,
            utility_code=UtilityCode.load_cached("int_pyucs4" if py_type_name == "int" else "float_pyucs4", "Builtins.c"),
        ).coerce_to(node.type, self.current_env())

    def _error_wrong_arg_count(self, function_name, node, args, expected=None):
        if not expected:  # None or 0
            arg_str = ''
        elif isinstance(expected, str) or expected > 1:
            arg_str = '...'
        elif expected == 1:
            arg_str = 'x'
        else:
            arg_str = ''
        if expected is not None:
            expected_str = 'expected %s, ' % expected
        else:
            expected_str = ''
        error(node.pos, "%s(%s) called with wrong number of args, %sfound %d" % (
            function_name, arg_str, expected_str, len(args)))

    ### generic fallbacks

    def _handle_function(self, node, function_name, function, arg_list, kwargs):
        return node

    def _handle_method(self, node, type_name, attr_name, function,
                       arg_list, is_unbound_method, kwargs):
        """
        Try to inject C-API calls for unbound method calls to builtin types.
        While the method declarations in Builtin.py already handle this, we
        can additionally resolve bound and unbound methods here that were
        assigned to variables ahead of time.
        """
        if kwargs:
            return node
        if not function or not function.is_attribute or not function.obj.is_name:
            # cannot track unbound method calls over more than one indirection as
            # the names might have been reassigned in the meantime
            return node
        type_entry = self.current_env().lookup(type_name)
        if not type_entry:
            return node
        method = ExprNodes.AttributeNode(
            node.function.pos,
            obj=ExprNodes.NameNode(
                function.pos,
                name=type_name,
                entry=type_entry,
                type=type_entry.type),
            attribute=attr_name,
            is_called=True).analyse_as_type_attribute(self.current_env())
        if method is None:
            return self._optimise_generic_builtin_method_call(
                node, attr_name, function, arg_list, is_unbound_method)
        args = node.args
        if args is None and node.arg_tuple:
            args = node.arg_tuple.args
        call_node = ExprNodes.SimpleCallNode(
            node.pos,
            function=method,
            args=args)
        if not is_unbound_method:
            call_node.self = function.obj
        call_node.analyse_c_function_call(self.current_env())
        call_node.analysed = True
        return call_node.coerce_to(node.type, self.current_env())

    ### builtin types

    def _optimise_generic_builtin_method_call(self, node, attr_name, function, arg_list, is_unbound_method):
        """
        Try to inject an unbound method call for a call to a method of a known builtin type.
        This enables caching the underlying C function of the method at runtime.
        """
        arg_count = len(arg_list)
        if is_unbound_method or arg_count >= 3 or not (function.is_attribute and function.is_py_attr):
            return node
        if not function.obj.type.is_builtin_type:
            return node
        if function.obj.type.name in ('basestring', 'type'):
            # these allow different actual types => unsafe
            return node
        return ExprNodes.CachedBuiltinMethodCallNode(
            node, function.obj, attr_name, arg_list)

    PyObject_String_func_type = PyrexTypes.CFuncType(
        PyrexTypes.py_object_type, [  # Change this to Builtin.str_type when removing Py2 support.
            PyrexTypes.CFuncTypeArg("obj", PyrexTypes.py_object_type, None)
            ])

    def _handle_simple_function_str(self, node, function, pos_args):
        """Optimize single argument calls to str().
        """
        if len(pos_args) != 1:
            if len(pos_args) == 0:
                return ExprNodes.StringNode(node.pos, value=EncodedString(), constant_result='')
            return node
        arg = pos_args[0]

        if arg.type is Builtin.str_type:
            if not arg.may_be_none():
                return arg

            cname = "__Pyx_PyStr_Str"
            utility_code = UtilityCode.load_cached('PyStr_Str', 'StringTools.c')
        else:
            cname = '__Pyx_PyObject_Str'
            utility_code = UtilityCode.load_cached('PyObject_Str', 'StringTools.c')

        return ExprNodes.PythonCapiCallNode(
            node.pos, cname, self.PyObject_String_func_type,
            args=pos_args,
            is_temp=node.is_temp,
            utility_code=utility_code,
            py_name="str"
        )

    PyObject_Unicode_func_type = PyrexTypes.CFuncType(
        Builtin.unicode_type, [
            PyrexTypes.CFuncTypeArg("obj", PyrexTypes.py_object_type, None)
            ])

    def _handle_simple_function_unicode(self, node, function, pos_args):
        """Optimise single argument calls to unicode().
        """
        if len(pos_args) != 1:
            if len(pos_args) == 0:
                return ExprNodes.UnicodeNode(node.pos, value=EncodedString(), constant_result='')
            return node
        arg = pos_args[0]
        if arg.type is Builtin.unicode_type:
            if not arg.may_be_none():
                return arg
            cname = "__Pyx_PyUnicode_Unicode"
            utility_code = UtilityCode.load_cached('PyUnicode_Unicode', 'StringTools.c')
        else:
            cname = "__Pyx_PyObject_Unicode"
            utility_code = UtilityCode.load_cached('PyObject_Unicode', 'StringTools.c')
        return ExprNodes.PythonCapiCallNode(
            node.pos, cname, self.PyObject_Unicode_func_type,
            args=pos_args,
            is_temp=node.is_temp,
            utility_code=utility_code,
            py_name="unicode")

    def visit_FormattedValueNode(self, node):
        """Simplify or avoid plain string formatting of a unicode value.
        This seems misplaced here, but plain unicode formatting is essentially
        a call to the unicode() builtin, which is optimised right above.
        """
        self.visitchildren(node)
        if node.value.type is Builtin.unicode_type and not node.c_format_spec and not node.format_spec:
            if not node.conversion_char or node.conversion_char == 's':
                # value is definitely a unicode string and we don't format it any special
                return self._handle_simple_function_unicode(node, None, [node.value])
        return node

    PyDict_Copy_func_type = PyrexTypes.CFuncType(
        Builtin.dict_type, [
            PyrexTypes.CFuncTypeArg("dict", Builtin.dict_type, None)
            ])

    def _handle_simple_function_dict(self, node, function, pos_args):
        """Replace dict(some_dict) by PyDict_Copy(some_dict).
        """
        if len(pos_args) != 1:
            return node
        arg = pos_args[0]
        if arg.type is Builtin.dict_type:
            arg = arg.as_none_safe_node("'NoneType' is not iterable")
            return ExprNodes.PythonCapiCallNode(
                node.pos, "PyDict_Copy", self.PyDict_Copy_func_type,
                args = [arg],
                is_temp = node.is_temp
                )
        return node

    PySequence_List_func_type = PyrexTypes.CFuncType(
        Builtin.list_type,
        [PyrexTypes.CFuncTypeArg("it", PyrexTypes.py_object_type, None)])

    def _handle_simple_function_list(self, node, function, pos_args):
        """Turn list(ob) into PySequence_List(ob).
        """
        if len(pos_args) != 1:
            return node
        arg = pos_args[0]
        return ExprNodes.PythonCapiCallNode(
            node.pos,
            "__Pyx_PySequence_ListKeepNew"
                if node.is_temp and arg.is_temp and arg.type in (PyrexTypes.py_object_type, Builtin.list_type)
                else "PySequence_List",
            self.PySequence_List_func_type,
            args=pos_args,
            is_temp=node.is_temp,
        )

    PyList_AsTuple_func_type = PyrexTypes.CFuncType(
        Builtin.tuple_type, [
            PyrexTypes.CFuncTypeArg("list", Builtin.list_type, None)
            ])

    def _handle_simple_function_tuple(self, node, function, pos_args):
        """Replace tuple([...]) by PyList_AsTuple or PySequence_Tuple.
        """
        if len(pos_args) != 1 or not node.is_temp:
            return node
        arg = pos_args[0]
        if arg.type is Builtin.tuple_type and not arg.may_be_none():
            return arg
        if arg.type is Builtin.list_type:
            pos_args[0] = arg.as_none_safe_node(
                "'NoneType' object is not iterable")

            return ExprNodes.PythonCapiCallNode(
                node.pos, "PyList_AsTuple", self.PyList_AsTuple_func_type,
                args=pos_args, is_temp=node.is_temp)
        else:
            return ExprNodes.AsTupleNode(node.pos, arg=arg, type=Builtin.tuple_type)

    PySet_New_func_type = PyrexTypes.CFuncType(
        Builtin.set_type, [
            PyrexTypes.CFuncTypeArg("it", PyrexTypes.py_object_type, None)
        ])

    def _handle_simple_function_set(self, node, function, pos_args):
        if len(pos_args) != 1:
            return node
        if pos_args[0].is_sequence_constructor:
            # We can optimise set([x,y,z]) safely into a set literal,
            # but only if we create all items before adding them -
            # adding an item may raise an exception if it is not
            # hashable, but creating the later items may have
            # side-effects.
            args = []
            temps = []
            for arg in pos_args[0].args:
                if not arg.is_simple():
                    arg = UtilNodes.LetRefNode(arg)
                    temps.append(arg)
                args.append(arg)
            result = ExprNodes.SetNode(node.pos, is_temp=1, args=args)
            self.replace(node, result)
            for temp in temps[::-1]:
                result = UtilNodes.EvalWithTempExprNode(temp, result)
            return result
        else:
            # PySet_New(it) is better than a generic Python call to set(it)
            return self.replace(node, ExprNodes.PythonCapiCallNode(
                node.pos, "PySet_New",
                self.PySet_New_func_type,
                args=pos_args,
                is_temp=node.is_temp,
                py_name="set"))

    PyFrozenSet_New_func_type = PyrexTypes.CFuncType(
        Builtin.frozenset_type, [
            PyrexTypes.CFuncTypeArg("it", PyrexTypes.py_object_type, None)
        ])

    def _handle_simple_function_frozenset(self, node, function, pos_args):
        if not pos_args:
            pos_args = [ExprNodes.NullNode(node.pos)]
        elif len(pos_args) > 1:
            return node
        elif pos_args[0].type is Builtin.frozenset_type and not pos_args[0].may_be_none():
            return pos_args[0]
        # PyFrozenSet_New(it) is better than a generic Python call to frozenset(it)
        return ExprNodes.PythonCapiCallNode(
            node.pos, "__Pyx_PyFrozenSet_New",
            self.PyFrozenSet_New_func_type,
            args=pos_args,
            is_temp=node.is_temp,
            utility_code=UtilityCode.load_cached('pyfrozenset_new', 'Builtins.c'),
            py_name="frozenset")

    PyObject_AsDouble_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_double_type, [
            PyrexTypes.CFuncTypeArg("obj", PyrexTypes.py_object_type, None),
            ],
        exception_value = "((double)-1)",
        exception_check = True)

    def _handle_simple_function_float(self, node, function, pos_args):
        """Transform float() into either a C type cast or a faster C
        function call.
        """
        # Note: this requires the float() function to be typed as
        # returning a C 'double'
        if len(pos_args) == 0:
            return ExprNodes.FloatNode(
                node, value="0.0", constant_result=0.0
                ).coerce_to(Builtin.float_type, self.current_env())
        elif len(pos_args) != 1:
            self._error_wrong_arg_count('float', node, pos_args, '0 or 1')
            return node

        func_arg = pos_args[0]
        if isinstance(func_arg, ExprNodes.CoerceToPyTypeNode):
            func_arg = func_arg.arg
        if func_arg.type is PyrexTypes.c_double_type:
            return func_arg
        elif func_arg.type in (PyrexTypes.c_py_ucs4_type, PyrexTypes.c_py_unicode_type):
            # need to parse (<Py_UCS4>'1') as digit 1
            return self._pyucs4_to_number(node, function.name, func_arg)
        elif node.type.assignable_from(func_arg.type) or func_arg.type.is_numeric:
            return ExprNodes.TypecastNode(
                node.pos, operand=func_arg, type=node.type)

        arg = pos_args[0].as_none_safe_node(
            "float() argument must be a string or a number, not 'NoneType'")

        if func_arg.type is Builtin.bytes_type:
            cfunc_name = "__Pyx_PyBytes_AsDouble"
            utility_code_name = 'pybytes_as_double'
        elif func_arg.type is Builtin.bytearray_type:
            cfunc_name = "__Pyx_PyByteArray_AsDouble"
            utility_code_name = 'pybytes_as_double'
        elif func_arg.type is Builtin.unicode_type:
            cfunc_name = "__Pyx_PyUnicode_AsDouble"
            utility_code_name = 'pyunicode_as_double'
        elif func_arg.type is Builtin.str_type:
            cfunc_name = "__Pyx_PyString_AsDouble"
            utility_code_name = 'pystring_as_double'
        elif func_arg.type is Builtin.int_type:
            cfunc_name = "PyLong_AsDouble"
            utility_code_name = None
        else:
            arg = pos_args[0]  # no need for an additional None check
            cfunc_name = "__Pyx_PyObject_AsDouble"
            utility_code_name = 'pyobject_as_double'

        return ExprNodes.PythonCapiCallNode(
            node.pos, cfunc_name,
            self.PyObject_AsDouble_func_type,
            args = [arg],
            is_temp = node.is_temp,
            utility_code = load_c_utility(utility_code_name) if utility_code_name else None,
            py_name = "float")

    PyNumber_Int_func_type = PyrexTypes.CFuncType(
        PyrexTypes.py_object_type, [
            PyrexTypes.CFuncTypeArg("o", PyrexTypes.py_object_type, None)
            ])

    PyInt_FromDouble_func_type = PyrexTypes.CFuncType(
        PyrexTypes.py_object_type, [
            PyrexTypes.CFuncTypeArg("value", PyrexTypes.c_double_type, None)
            ])

    def _handle_simple_function_int(self, node, function, pos_args):
        """Transform int() into a faster C function call.
        """
        if len(pos_args) == 0:
            return ExprNodes.IntNode(node.pos, value="0", constant_result=0,
                                     type=PyrexTypes.py_object_type)
        elif len(pos_args) != 1:
            return node  # int(x, base)
        func_arg = pos_args[0]
        if isinstance(func_arg, ExprNodes.CoerceToPyTypeNode):
            if func_arg.arg.type.is_float:
                return ExprNodes.PythonCapiCallNode(
                    node.pos, "__Pyx_PyInt_FromDouble", self.PyInt_FromDouble_func_type,
                    args=[func_arg.arg], is_temp=True, py_name='int',
                    utility_code=UtilityCode.load_cached("PyIntFromDouble", "TypeConversion.c"))
            else:
                return node  # handled in visit_CoerceFromPyTypeNode()
        if func_arg.type.is_pyobject and node.type.is_pyobject:
            return ExprNodes.PythonCapiCallNode(
                node.pos, "__Pyx_PyNumber_Int", self.PyNumber_Int_func_type,
                args=pos_args, is_temp=True, py_name='int')
        return node

    def _handle_simple_function_bool(self, node, function, pos_args):
        """Transform bool(x) into a type coercion to a boolean.
        """
        if len(pos_args) == 0:
            return ExprNodes.BoolNode(
                node.pos, value=False, constant_result=False
                ).coerce_to(Builtin.bool_type, self.current_env())
        elif len(pos_args) != 1:
            self._error_wrong_arg_count('bool', node, pos_args, '0 or 1')
            return node
        else:
            # => !!<bint>(x)  to make sure it's exactly 0 or 1
            operand = pos_args[0].coerce_to_boolean(self.current_env())
            operand = ExprNodes.NotNode(node.pos, operand = operand)
            operand = ExprNodes.NotNode(node.pos, operand = operand)
            # coerce back to Python object as that's the result we are expecting
            return operand.coerce_to_pyobject(self.current_env())

    PyMemoryView_FromObject_func_type = PyrexTypes.CFuncType(
        Builtin.memoryview_type, [
            PyrexTypes.CFuncTypeArg("value", PyrexTypes.py_object_type, None)
            ])

    PyMemoryView_FromBuffer_func_type = PyrexTypes.CFuncType(
        Builtin.memoryview_type, [
            PyrexTypes.CFuncTypeArg("value", Builtin.py_buffer_type, None)
            ])

    def _handle_simple_function_memoryview(self, node, function, pos_args):
        if len(pos_args) != 1:
            self._error_wrong_arg_count('memoryview', node, pos_args, '1')
            return node
        else:
            if pos_args[0].type.is_pyobject:
                return ExprNodes.PythonCapiCallNode(
                    node.pos, "PyMemoryView_FromObject",
                    self.PyMemoryView_FromObject_func_type,
                    args = [pos_args[0]],
                    is_temp = node.is_temp,
                    py_name = "memoryview")
            elif pos_args[0].type.is_ptr and pos_args[0].base_type is Builtin.py_buffer_type:
                # TODO - this currently doesn't work because the buffer fails a
                # "can coerce to python object" test earlier. But it'd be nice to support
                return ExprNodes.PythonCapiCallNode(
                    node.pos, "PyMemoryView_FromBuffer",
                    self.PyMemoryView_FromBuffer_func_type,
                    args = [pos_args[0]],
                    is_temp = node.is_temp,
                    py_name = "memoryview")
        return node


    ### builtin functions

    Pyx_ssize_strlen_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_py_ssize_t_type, [
            PyrexTypes.CFuncTypeArg("bytes", PyrexTypes.c_const_char_ptr_type, None)
        ],
        exception_value="-1")

    Pyx_Py_UNICODE_strlen_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_py_ssize_t_type, [
            PyrexTypes.CFuncTypeArg("unicode", PyrexTypes.c_const_py_unicode_ptr_type, None)
        ],
        exception_value="-1")

    PyObject_Size_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_py_ssize_t_type, [
            PyrexTypes.CFuncTypeArg("obj", PyrexTypes.py_object_type, None)
        ],
        exception_value="-1")

    _map_to_capi_len_function = {
        Builtin.unicode_type:    "__Pyx_PyUnicode_GET_LENGTH",
        Builtin.bytes_type:      "__Pyx_PyBytes_GET_SIZE",
        Builtin.bytearray_type:  '__Pyx_PyByteArray_GET_SIZE',
        Builtin.list_type:       "__Pyx_PyList_GET_SIZE",
        Builtin.tuple_type:      "__Pyx_PyTuple_GET_SIZE",
        Builtin.set_type:        "__Pyx_PySet_GET_SIZE",
        Builtin.frozenset_type:  "__Pyx_PySet_GET_SIZE",
        Builtin.dict_type:       "PyDict_Size",
    }.get

    _ext_types_with_pysize = {"cpython.array.array"}

    def _handle_simple_function_len(self, node, function, pos_args):
        """Replace len(char*) by the equivalent call to strlen(),
        len(Py_UNICODE) by the equivalent Py_UNICODE_strlen() and
        len(known_builtin_type) by an equivalent C-API call.
        """
        if len(pos_args) != 1:
            self._error_wrong_arg_count('len', node, pos_args, 1)
            return node
        arg = pos_args[0]
        if isinstance(arg, ExprNodes.CoerceToPyTypeNode):
            arg = arg.arg
        if arg.type.is_string:
            new_node = ExprNodes.PythonCapiCallNode(
                node.pos, "__Pyx_ssize_strlen", self.Pyx_ssize_strlen_func_type,
                args = [arg],
                is_temp = node.is_temp)
        elif arg.type.is_pyunicode_ptr:
            new_node = ExprNodes.PythonCapiCallNode(
                node.pos, "__Pyx_Py_UNICODE_ssize_strlen", self.Pyx_Py_UNICODE_strlen_func_type,
                args = [arg],
                is_temp = node.is_temp,
                utility_code = UtilityCode.load_cached("ssize_pyunicode_strlen", "StringTools.c"))
        elif arg.type.is_memoryviewslice:
            func_type = PyrexTypes.CFuncType(
                PyrexTypes.c_py_ssize_t_type, [
                    PyrexTypes.CFuncTypeArg("memoryviewslice", arg.type, None)
                ], nogil=True)
            new_node = ExprNodes.PythonCapiCallNode(
                node.pos, "__Pyx_MemoryView_Len", func_type,
                args=[arg], is_temp=node.is_temp)
        elif arg.type.is_pyobject:
            cfunc_name = self._map_to_capi_len_function(arg.type)
            if cfunc_name is None:
                arg_type = arg.type
                if ((arg_type.is_extension_type or arg_type.is_builtin_type)
                        and arg_type.entry.qualified_name in self._ext_types_with_pysize):
                    cfunc_name = 'Py_SIZE'
                else:
                    return node
            arg = arg.as_none_safe_node(
                "object of type 'NoneType' has no len()")
            new_node = ExprNodes.PythonCapiCallNode(
                node.pos, cfunc_name, self.PyObject_Size_func_type,
                args=[arg], is_temp=node.is_temp)
        elif arg.type.is_unicode_char:
            return ExprNodes.IntNode(node.pos, value='1', constant_result=1,
                                     type=node.type)
        else:
            return node
        if node.type not in (PyrexTypes.c_size_t_type, PyrexTypes.c_py_ssize_t_type):
            new_node = new_node.coerce_to(node.type, self.current_env())
        return new_node

    Pyx_Type_func_type = PyrexTypes.CFuncType(
        Builtin.type_type, [
            PyrexTypes.CFuncTypeArg("object", PyrexTypes.py_object_type, None)
            ])

    def _handle_simple_function_type(self, node, function, pos_args):
        """Replace type(o) by a macro call to Py_TYPE(o).
        """
        if len(pos_args) != 1:
            return node
        node = ExprNodes.PythonCapiCallNode(
            node.pos, "Py_TYPE", self.Pyx_Type_func_type,
            args = pos_args,
            is_temp = False)
        return ExprNodes.CastNode(node, PyrexTypes.py_object_type)

    Py_type_check_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_bint_type, [
            PyrexTypes.CFuncTypeArg("arg", PyrexTypes.py_object_type, None)
            ])

    def _handle_simple_function_isinstance(self, node, function, pos_args):
        """Replace isinstance() checks against builtin types by the
        corresponding C-API call.
        """
        if len(pos_args) != 2:
            return node
        arg, types = pos_args
        temps = []
        if isinstance(types, ExprNodes.TupleNode):
            types = types.args
            if len(types) == 1 and not types[0].type is Builtin.type_type:
                return node  # nothing to improve here
            if arg.is_attribute or not arg.is_simple():
                arg = UtilNodes.ResultRefNode(arg)
                temps.append(arg)
        elif types.type is Builtin.type_type:
            types = [types]
        else:
            return node

        tests = []
        test_nodes = []
        env = self.current_env()
        for test_type_node in types:
            builtin_type = None
            if test_type_node.is_name:
                if test_type_node.entry:
                    entry = env.lookup(test_type_node.entry.name)
                    if entry and entry.type and entry.type.is_builtin_type:
                        builtin_type = entry.type
            if builtin_type is Builtin.type_type:
                # all types have type "type", but there's only one 'type'
                if entry.name != 'type' or not (
                        entry.scope and entry.scope.is_builtin_scope):
                    builtin_type = None
            if builtin_type is not None:
                type_check_function = entry.type.type_check_function(exact=False)
                if type_check_function in tests:
                    continue
                tests.append(type_check_function)
                type_check_args = [arg]
            elif test_type_node.type is Builtin.type_type:
                type_check_function = '__Pyx_TypeCheck'
                type_check_args = [arg, test_type_node]
            else:
                if not test_type_node.is_literal:
                    test_type_node = UtilNodes.ResultRefNode(test_type_node)
                    temps.append(test_type_node)
                type_check_function = 'PyObject_IsInstance'
                type_check_args = [arg, test_type_node]
            test_nodes.append(
                ExprNodes.PythonCapiCallNode(
                    test_type_node.pos, type_check_function, self.Py_type_check_func_type,
                    args=type_check_args,
                    is_temp=True,
                ))

        def join_with_or(a, b, make_binop_node=ExprNodes.binop_node):
            or_node = make_binop_node(node.pos, 'or', a, b)
            or_node.type = PyrexTypes.c_bint_type
            or_node.wrap_operands(env)
            return or_node

        test_node = reduce(join_with_or, test_nodes).coerce_to(node.type, env)
        for temp in temps[::-1]:
            test_node = UtilNodes.EvalWithTempExprNode(temp, test_node)
        return test_node

    def _handle_simple_function_ord(self, node, function, pos_args):
        """Unpack ord(Py_UNICODE) and ord('X').
        """
        if len(pos_args) != 1:
            return node
        arg = pos_args[0]
        if isinstance(arg, ExprNodes.CoerceToPyTypeNode):
            if arg.arg.type.is_unicode_char:
                return ExprNodes.TypecastNode(
                    arg.pos, operand=arg.arg, type=PyrexTypes.c_long_type
                    ).coerce_to(node.type, self.current_env())
        elif isinstance(arg, ExprNodes.UnicodeNode):
            if len(arg.value) == 1:
                return ExprNodes.IntNode(
                    arg.pos, type=PyrexTypes.c_int_type,
                    value=str(ord(arg.value)),
                    constant_result=ord(arg.value)
                    ).coerce_to(node.type, self.current_env())
        elif isinstance(arg, ExprNodes.StringNode):
            if arg.unicode_value and len(arg.unicode_value) == 1 \
                    and ord(arg.unicode_value) <= 255:  # Py2/3 portability
                return ExprNodes.IntNode(
                    arg.pos, type=PyrexTypes.c_int_type,
                    value=str(ord(arg.unicode_value)),
                    constant_result=ord(arg.unicode_value)
                    ).coerce_to(node.type, self.current_env())
        return node

    ### special methods

    Pyx_tp_new_func_type = PyrexTypes.CFuncType(
        PyrexTypes.py_object_type, [
            PyrexTypes.CFuncTypeArg("type",   PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("args",   Builtin.tuple_type, None),
            ])

    Pyx_tp_new_kwargs_func_type = PyrexTypes.CFuncType(
        PyrexTypes.py_object_type, [
            PyrexTypes.CFuncTypeArg("type",   PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("args",   Builtin.tuple_type, None),
            PyrexTypes.CFuncTypeArg("kwargs", Builtin.dict_type, None),
        ])

    def _handle_any_slot__new__(self, node, function, args,
                                is_unbound_method, kwargs=None):
        """Replace 'exttype.__new__(exttype, ...)' by a call to exttype->tp_new()
        """
        obj = function.obj
        if not is_unbound_method or len(args) < 1:
            return node
        type_arg = args[0]
        if not obj.is_name or not type_arg.is_name:
            return node  # not a simple case
        if obj.type != Builtin.type_type or type_arg.type != Builtin.type_type:
            return node  # not a known type
        if not type_arg.type_entry or not obj.type_entry:
            if obj.name != type_arg.name:
                return node
            # otherwise, we know it's a type and we know it's the same
            # type for both - that should do
        elif type_arg.type_entry != obj.type_entry:
            # different types - may or may not lead to an error at runtime
            return node

        args_tuple = ExprNodes.TupleNode(node.pos, args=args[1:])
        args_tuple = args_tuple.analyse_types(
            self.current_env(), skip_children=True)

        if type_arg.type_entry:
            ext_type = type_arg.type_entry.type
            if (ext_type.is_extension_type and ext_type.typeobj_cname and
                    ext_type.scope.global_scope() == self.current_env().global_scope()):
                # known type in current module
                tp_slot = TypeSlots.ConstructorSlot("tp_new", '__new__')
                slot_func_cname = TypeSlots.get_slot_function(ext_type.scope, tp_slot)
                if slot_func_cname:
                    cython_scope = self.context.cython_scope
                    PyTypeObjectPtr = PyrexTypes.CPtrType(
                        cython_scope.lookup('PyTypeObject').type)
                    pyx_tp_new_kwargs_func_type = PyrexTypes.CFuncType(
                        ext_type, [
                            PyrexTypes.CFuncTypeArg("type",   PyTypeObjectPtr, None),
                            PyrexTypes.CFuncTypeArg("args",   PyrexTypes.py_object_type, None),
                            PyrexTypes.CFuncTypeArg("kwargs", PyrexTypes.py_object_type, None),
                            ])

                    type_arg = ExprNodes.CastNode(type_arg, PyTypeObjectPtr)
                    if not kwargs:
                        kwargs = ExprNodes.NullNode(node.pos, type=PyrexTypes.py_object_type)  # hack?
                    return ExprNodes.PythonCapiCallNode(
                        node.pos, slot_func_cname,
                        pyx_tp_new_kwargs_func_type,
                        args=[type_arg, args_tuple, kwargs],
                        may_return_none=False,
                        is_temp=True)
        else:
            # arbitrary variable, needs a None check for safety
            type_arg = type_arg.as_none_safe_node(
                "object.__new__(X): X is not a type object (NoneType)")

        utility_code = UtilityCode.load_cached('tp_new', 'ObjectHandling.c')
        if kwargs:
            return ExprNodes.PythonCapiCallNode(
                node.pos, "__Pyx_tp_new_kwargs", self.Pyx_tp_new_kwargs_func_type,
                args=[type_arg, args_tuple, kwargs],
                utility_code=utility_code,
                is_temp=node.is_temp
                )
        else:
            return ExprNodes.PythonCapiCallNode(
                node.pos, "__Pyx_tp_new", self.Pyx_tp_new_func_type,
                args=[type_arg, args_tuple],
                utility_code=utility_code,
                is_temp=node.is_temp
            )

    def _handle_any_slot__class__(self, node, function, args,
                                is_unbound_method, kwargs=None):
        # The purpose of this function is to handle calls to instance.__class__() so that
        # it doesn't get handled by the __Pyx_CallUnboundCMethod0 mechanism.
        # TODO: optimizations of the instance.__class__() call might be possible in future.
        return node

    ### methods of builtin types

    PyObject_Append_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_returncode_type, [
            PyrexTypes.CFuncTypeArg("list", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("item", PyrexTypes.py_object_type, None),
            ],
        exception_value="-1")

    def _handle_simple_method_object_append(self, node, function, args, is_unbound_method):
        """Optimistic optimisation as X.append() is almost always
        referring to a list.
        """
        if len(args) != 2 or node.result_is_used or node.function.entry:
            return node

        return ExprNodes.PythonCapiCallNode(
            node.pos, "__Pyx_PyObject_Append", self.PyObject_Append_func_type,
            args=args,
            may_return_none=False,
            is_temp=node.is_temp,
            result_is_used=False,
            utility_code=load_c_utility('append')
        )

    def _handle_simple_method_list_extend(self, node, function, args, is_unbound_method):
        """Replace list.extend([...]) for short sequence literals values by sequential appends
        to avoid creating an intermediate sequence argument.
        """
        if len(args) != 2:
            return node
        obj, value = args
        if not value.is_sequence_constructor:
            return node
        items = list(value.args)
        if value.mult_factor is not None or len(items) > 8:
            # Appending wins for short sequences but slows down when multiple resize operations are needed.
            # This seems to be a good enough limit that avoids repeated resizing.
            if False and isinstance(value, ExprNodes.ListNode):
                # One would expect that tuples are more efficient here, but benchmarking with
                # Py3.5 and Py3.7 suggests that they are not. Probably worth revisiting at some point.
                # Might be related to the usage of PySequence_FAST() in CPython's list.extend(),
                # which is probably tuned more towards lists than tuples (and rightly so).
                tuple_node = args[1].as_tuple().analyse_types(self.current_env(), skip_children=True)
                Visitor.recursively_replace_node(node, args[1], tuple_node)
            return node
        wrapped_obj = self._wrap_self_arg(obj, function, is_unbound_method, 'extend')
        if not items:
            # Empty sequences are not likely to occur, but why waste a call to list.extend() for them?
            wrapped_obj.result_is_used = node.result_is_used
            return wrapped_obj
        cloned_obj = obj = wrapped_obj
        if len(items) > 1 and not obj.is_simple():
            cloned_obj = UtilNodes.LetRefNode(obj)
        # Use ListComp_Append() for all but the last item and finish with PyList_Append()
        # to shrink the list storage size at the very end if necessary.
        temps = []
        arg = items[-1]
        if not arg.is_simple():
            arg = UtilNodes.LetRefNode(arg)
            temps.append(arg)
        new_node = ExprNodes.PythonCapiCallNode(
            node.pos, "__Pyx_PyList_Append", self.PyObject_Append_func_type,
            args=[cloned_obj, arg],
            is_temp=True,
            utility_code=load_c_utility("ListAppend"))
        for arg in items[-2::-1]:
            if not arg.is_simple():
                arg = UtilNodes.LetRefNode(arg)
                temps.append(arg)
            new_node = ExprNodes.binop_node(
                node.pos, '|',
                ExprNodes.PythonCapiCallNode(
                    node.pos, "__Pyx_ListComp_Append", self.PyObject_Append_func_type,
                    args=[cloned_obj, arg], py_name="extend",
                    is_temp=True,
                    utility_code=load_c_utility("ListCompAppend")),
                new_node,
                type=PyrexTypes.c_returncode_type,
            )
        new_node.result_is_used = node.result_is_used
        if cloned_obj is not obj:
            temps.append(cloned_obj)
        for temp in temps:
            new_node = UtilNodes.EvalWithTempExprNode(temp, new_node)
            new_node.result_is_used = node.result_is_used
        return new_node

    PyByteArray_Append_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_returncode_type, [
            PyrexTypes.CFuncTypeArg("bytearray", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("value", PyrexTypes.c_int_type, None),
            ],
        exception_value="-1")

    PyByteArray_AppendObject_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_returncode_type, [
            PyrexTypes.CFuncTypeArg("bytearray", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("value", PyrexTypes.py_object_type, None),
            ],
        exception_value="-1")

    def _handle_simple_method_bytearray_append(self, node, function, args, is_unbound_method):
        if len(args) != 2:
            return node
        func_name = "__Pyx_PyByteArray_Append"
        func_type = self.PyByteArray_Append_func_type

        value = unwrap_coerced_node(args[1])
        if value.type.is_int or isinstance(value, ExprNodes.IntNode):
            value = value.coerce_to(PyrexTypes.c_int_type, self.current_env())
            utility_code = UtilityCode.load_cached("ByteArrayAppend", "StringTools.c")
        elif value.is_string_literal:
            if not value.can_coerce_to_char_literal():
                return node
            value = value.coerce_to(PyrexTypes.c_char_type, self.current_env())
            utility_code = UtilityCode.load_cached("ByteArrayAppend", "StringTools.c")
        elif value.type.is_pyobject:
            func_name = "__Pyx_PyByteArray_AppendObject"
            func_type = self.PyByteArray_AppendObject_func_type
            utility_code = UtilityCode.load_cached("ByteArrayAppendObject", "StringTools.c")
        else:
            return node

        new_node = ExprNodes.PythonCapiCallNode(
            node.pos, func_name, func_type,
            args=[args[0], value],
            may_return_none=False,
            is_temp=node.is_temp,
            utility_code=utility_code,
        )
        if node.result_is_used:
            new_node = new_node.coerce_to(node.type, self.current_env())
        return new_node

    PyObject_Pop_func_type = PyrexTypes.CFuncType(
        PyrexTypes.py_object_type, [
            PyrexTypes.CFuncTypeArg("list", PyrexTypes.py_object_type, None),
            ])

    PyObject_PopIndex_func_type = PyrexTypes.CFuncType(
        PyrexTypes.py_object_type, [
            PyrexTypes.CFuncTypeArg("list", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("py_index", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("c_index", PyrexTypes.c_py_ssize_t_type, None),
            PyrexTypes.CFuncTypeArg("is_signed", PyrexTypes.c_int_type, None),
        ],
        has_varargs=True)  # to fake the additional macro args that lack a proper C type

    def _handle_simple_method_list_pop(self, node, function, args, is_unbound_method):
        return self._handle_simple_method_object_pop(
            node, function, args, is_unbound_method, is_list=True)

    def _handle_simple_method_object_pop(self, node, function, args, is_unbound_method, is_list=False):
        """Optimistic optimisation as X.pop([n]) is almost always
        referring to a list.
        """
        if not args:
            return node
        obj = args[0]
        if is_list:
            type_name = 'List'
            obj = obj.as_none_safe_node(
                "'NoneType' object has no attribute '%.30s'",
                error="PyExc_AttributeError",
                format_args=['pop'])
        else:
            type_name = 'Object'
        if len(args) == 1:
            return ExprNodes.PythonCapiCallNode(
                node.pos, "__Pyx_Py%s_Pop" % type_name,
                self.PyObject_Pop_func_type,
                args=[obj],
                may_return_none=True,
                is_temp=node.is_temp,
                utility_code=load_c_utility('pop'),
            )
        elif len(args) == 2:
            index = unwrap_coerced_node(args[1])
            py_index = ExprNodes.NoneNode(index.pos)
            orig_index_type = index.type
            if not index.type.is_int:
                if isinstance(index, ExprNodes.IntNode):
                    py_index = index.coerce_to_pyobject(self.current_env())
                    index = index.coerce_to(PyrexTypes.c_py_ssize_t_type, self.current_env())
                elif is_list:
                    if index.type.is_pyobject:
                        py_index = index.coerce_to_simple(self.current_env())
                        index = ExprNodes.CloneNode(py_index)
                    index = index.coerce_to(PyrexTypes.c_py_ssize_t_type, self.current_env())
                else:
                    return node
            elif not PyrexTypes.numeric_type_fits(index.type, PyrexTypes.c_py_ssize_t_type):
                return node
            elif isinstance(index, ExprNodes.IntNode):
                py_index = index.coerce_to_pyobject(self.current_env())
            # real type might still be larger at runtime
            if not orig_index_type.is_int:
                orig_index_type = index.type
            if not orig_index_type.create_to_py_utility_code(self.current_env()):
                return node
            convert_func = orig_index_type.to_py_function
            conversion_type = PyrexTypes.CFuncType(
                PyrexTypes.py_object_type, [PyrexTypes.CFuncTypeArg("intval", orig_index_type, None)])
            return ExprNodes.PythonCapiCallNode(
                node.pos, "__Pyx_Py%s_PopIndex" % type_name,
                self.PyObject_PopIndex_func_type,
                args=[obj, py_index, index,
                      ExprNodes.IntNode(index.pos, value=str(orig_index_type.signed and 1 or 0),
                                        constant_result=orig_index_type.signed and 1 or 0,
                                        type=PyrexTypes.c_int_type),
                      ExprNodes.RawCNameExprNode(index.pos, PyrexTypes.c_void_type,
                                                 orig_index_type.empty_declaration_code()),
                      ExprNodes.RawCNameExprNode(index.pos, conversion_type, convert_func)],
                may_return_none=True,
                is_temp=node.is_temp,
                utility_code=load_c_utility("pop_index"),
            )

        return node

    single_param_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_returncode_type, [
            PyrexTypes.CFuncTypeArg("obj", PyrexTypes.py_object_type, None),
            ],
        exception_value = "-1")

    def _handle_simple_method_list_sort(self, node, function, args, is_unbound_method):
        """Call PyList_Sort() instead of the 0-argument l.sort().
        """
        if len(args) != 1:
            return node
        return self._substitute_method_call(
            node, function, "PyList_Sort", self.single_param_func_type,
            'sort', is_unbound_method, args).coerce_to(node.type, self.current_env)

    Pyx_PyDict_GetItem_func_type = PyrexTypes.CFuncType(
        PyrexTypes.py_object_type, [
            PyrexTypes.CFuncTypeArg("dict", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("key", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("default", PyrexTypes.py_object_type, None),
            ])

    def _handle_simple_method_dict_get(self, node, function, args, is_unbound_method):
        """Replace dict.get() by a call to PyDict_GetItem().
        """
        if len(args) == 2:
            args.append(ExprNodes.NoneNode(node.pos))
        elif len(args) != 3:
            self._error_wrong_arg_count('dict.get', node, args, "2 or 3")
            return node

        return self._substitute_method_call(
            node, function,
            "__Pyx_PyDict_GetItemDefault", self.Pyx_PyDict_GetItem_func_type,
            'get', is_unbound_method, args,
            may_return_none = True,
            utility_code = load_c_utility("dict_getitem_default"))

    Pyx_PyDict_SetDefault_func_type = PyrexTypes.CFuncType(
        PyrexTypes.py_object_type, [
            PyrexTypes.CFuncTypeArg("dict", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("key", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("default", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("is_safe_type", PyrexTypes.c_int_type, None),
            ])

    def _handle_simple_method_dict_setdefault(self, node, function, args, is_unbound_method):
        """Replace dict.setdefault() by calls to PyDict_GetItem() and PyDict_SetItem().
        """
        if len(args) == 2:
            args.append(ExprNodes.NoneNode(node.pos))
        elif len(args) != 3:
            self._error_wrong_arg_count('dict.setdefault', node, args, "2 or 3")
            return node
        key_type = args[1].type
        if key_type.is_builtin_type:
            is_safe_type = int(key_type.name in
                               'str bytes unicode float int long bool')
        elif key_type is PyrexTypes.py_object_type:
            is_safe_type = -1  # don't know
        else:
            is_safe_type = 0   # definitely not
        args.append(ExprNodes.IntNode(
            node.pos, value=str(is_safe_type), constant_result=is_safe_type))

        return self._substitute_method_call(
            node, function,
            "__Pyx_PyDict_SetDefault", self.Pyx_PyDict_SetDefault_func_type,
            'setdefault', is_unbound_method, args,
            may_return_none=True,
            utility_code=load_c_utility('dict_setdefault'))

    PyDict_Pop_func_type = PyrexTypes.CFuncType(
        PyrexTypes.py_object_type, [
            PyrexTypes.CFuncTypeArg("dict", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("key", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("default", PyrexTypes.py_object_type, None),
            ])

    def _handle_simple_method_dict_pop(self, node, function, args, is_unbound_method):
        """Replace dict.pop() by a call to _PyDict_Pop().
        """
        if len(args) == 2:
            args.append(ExprNodes.NullNode(node.pos))
        elif len(args) != 3:
            self._error_wrong_arg_count('dict.pop', node, args, "2 or 3")
            return node

        return self._substitute_method_call(
            node, function,
            "__Pyx_PyDict_Pop", self.PyDict_Pop_func_type,
            'pop', is_unbound_method, args,
            may_return_none=True,
            utility_code=load_c_utility('py_dict_pop'))

    Pyx_BinopInt_func_types = {
        (ctype, ret_type): PyrexTypes.CFuncType(
            ret_type, [
                PyrexTypes.CFuncTypeArg("op1", PyrexTypes.py_object_type, None),
                PyrexTypes.CFuncTypeArg("op2", PyrexTypes.py_object_type, None),
                PyrexTypes.CFuncTypeArg("cval", ctype, None),
                PyrexTypes.CFuncTypeArg("inplace", PyrexTypes.c_bint_type, None),
                PyrexTypes.CFuncTypeArg("zerodiv_check", PyrexTypes.c_bint_type, None),
            ], exception_value=None if ret_type.is_pyobject else ret_type.exception_value)
        for ctype in (PyrexTypes.c_long_type, PyrexTypes.c_double_type)
        for ret_type in (PyrexTypes.py_object_type, PyrexTypes.c_bint_type)
        }

    def _handle_simple_method_object___add__(self, node, function, args, is_unbound_method):
        return self._optimise_num_binop('Add', node, function, args, is_unbound_method)

    def _handle_simple_method_object___sub__(self, node, function, args, is_unbound_method):
        return self._optimise_num_binop('Subtract', node, function, args, is_unbound_method)

    def _handle_simple_method_object___mul__(self, node, function, args, is_unbound_method):
        return self._optimise_num_binop('Multiply', node, function, args, is_unbound_method)

    def _handle_simple_method_object___eq__(self, node, function, args, is_unbound_method):
        return self._optimise_num_binop('Eq', node, function, args, is_unbound_method)

    def _handle_simple_method_object___ne__(self, node, function, args, is_unbound_method):
        return self._optimise_num_binop('Ne', node, function, args, is_unbound_method)

    def _handle_simple_method_object___and__(self, node, function, args, is_unbound_method):
        return self._optimise_num_binop('And', node, function, args, is_unbound_method)

    def _handle_simple_method_object___or__(self, node, function, args, is_unbound_method):
        return self._optimise_num_binop('Or', node, function, args, is_unbound_method)

    def _handle_simple_method_object___xor__(self, node, function, args, is_unbound_method):
        return self._optimise_num_binop('Xor', node, function, args, is_unbound_method)

    def _handle_simple_method_object___rshift__(self, node, function, args, is_unbound_method):
        if len(args) != 2 or not isinstance(args[1], ExprNodes.IntNode):
            return node
        if not args[1].has_constant_result() or not (1 <= args[1].constant_result <= 63):
            return node
        return self._optimise_num_binop('Rshift', node, function, args, is_unbound_method)

    def _handle_simple_method_object___lshift__(self, node, function, args, is_unbound_method):
        if len(args) != 2 or not isinstance(args[1], ExprNodes.IntNode):
            return node
        if not args[1].has_constant_result() or not (1 <= args[1].constant_result <= 63):
            return node
        return self._optimise_num_binop('Lshift', node, function, args, is_unbound_method)

    def _handle_simple_method_object___mod__(self, node, function, args, is_unbound_method):
        return self._optimise_num_div('Remainder', node, function, args, is_unbound_method)

    def _handle_simple_method_object___floordiv__(self, node, function, args, is_unbound_method):
        return self._optimise_num_div('FloorDivide', node, function, args, is_unbound_method)

    def _handle_simple_method_object___truediv__(self, node, function, args, is_unbound_method):
        return self._optimise_num_div('TrueDivide', node, function, args, is_unbound_method)

    def _handle_simple_method_object___div__(self, node, function, args, is_unbound_method):
        return self._optimise_num_div('Divide', node, function, args, is_unbound_method)

    _handle_simple_method_int___add__ = _handle_simple_method_object___add__
    _handle_simple_method_int___sub__ = _handle_simple_method_object___sub__
    _handle_simple_method_int___mul__ = _handle_simple_method_object___mul__
    _handle_simple_method_int___eq__ = _handle_simple_method_object___eq__
    _handle_simple_method_int___ne__ = _handle_simple_method_object___ne__
    _handle_simple_method_int___and__ = _handle_simple_method_object___and__
    _handle_simple_method_int___or__ = _handle_simple_method_object___or__
    _handle_simple_method_int___xor__ = _handle_simple_method_object___xor__
    _handle_simple_method_int___rshift__ = _handle_simple_method_object___rshift__
    _handle_simple_method_int___lshift__ = _handle_simple_method_object___lshift__
    _handle_simple_method_int___mod__ = _handle_simple_method_object___mod__
    _handle_simple_method_int___floordiv__ = _handle_simple_method_object___floordiv__
    _handle_simple_method_int___truediv__ = _handle_simple_method_object___truediv__

    def _optimise_num_div(self, operator, node, function, args, is_unbound_method):
        if len(args) != 2 or not args[1].has_constant_result() or args[1].constant_result == 0:
            return node
        if isinstance(args[1], ExprNodes.IntNode):
            if not (-2**30 <= args[1].constant_result <= 2**30):
                return node
        elif isinstance(args[1], ExprNodes.FloatNode):
            if not (-2**53 <= args[1].constant_result <= 2**53):
                return node
        else:
            return node
        return self._optimise_num_binop(operator, node, function, args, is_unbound_method)

    def _handle_simple_method_float___add__(self, node, function, args, is_unbound_method):
        return self._optimise_num_binop('Add', node, function, args, is_unbound_method)

    def _handle_simple_method_float___sub__(self, node, function, args, is_unbound_method):
        return self._optimise_num_binop('Subtract', node, function, args, is_unbound_method)

    def _handle_simple_method_float___truediv__(self, node, function, args, is_unbound_method):
        return self._optimise_num_binop('TrueDivide', node, function, args, is_unbound_method)

    def _handle_simple_method_float___div__(self, node, function, args, is_unbound_method):
        return self._optimise_num_binop('Divide', node, function, args, is_unbound_method)

    def _handle_simple_method_float___mod__(self, node, function, args, is_unbound_method):
        return self._optimise_num_binop('Remainder', node, function, args, is_unbound_method)

    def _handle_simple_method_float___eq__(self, node, function, args, is_unbound_method):
        return self._optimise_num_binop('Eq', node, function, args, is_unbound_method)

    def _handle_simple_method_float___ne__(self, node, function, args, is_unbound_method):
        return self._optimise_num_binop('Ne', node, function, args, is_unbound_method)

    def _optimise_num_binop(self, operator, node, function, args, is_unbound_method):
        """
        Optimise math operators for (likely) float or small integer operations.
        """
        if getattr(node, "special_bool_cmp_function", None):
            return node  # already optimized

        if len(args) != 2:
            return node

        if node.type.is_pyobject:
            ret_type = PyrexTypes.py_object_type
        elif node.type is PyrexTypes.c_bint_type and operator in ('Eq', 'Ne'):
            ret_type = PyrexTypes.c_bint_type
        else:
            return node

        result = optimise_numeric_binop(operator, node, ret_type, args[0], args[1])
        if not result:
            return node
        func_cname, utility_code, extra_args, num_type = result
        args = list(args)+extra_args

        call_node = self._substitute_method_call(
            node, function,
            func_cname,
            self.Pyx_BinopInt_func_types[(num_type, ret_type)],
            '__%s__' % operator[:3].lower(), is_unbound_method, args,
            may_return_none=True,
            with_none_check=False,
            utility_code=utility_code)

        if node.type.is_pyobject and not ret_type.is_pyobject:
            call_node = ExprNodes.CoerceToPyTypeNode(call_node, self.current_env(), node.type)
        return call_node

    ### unicode type methods

    PyUnicode_uchar_predicate_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_bint_type, [
            PyrexTypes.CFuncTypeArg("uchar", PyrexTypes.c_py_ucs4_type, None),
            ])

    def _inject_unicode_predicate(self, node, function, args, is_unbound_method):
        if is_unbound_method or len(args) != 1:
            return node
        ustring = args[0]
        if not isinstance(ustring, ExprNodes.CoerceToPyTypeNode) or \
               not ustring.arg.type.is_unicode_char:
            return node
        uchar = ustring.arg
        method_name = function.attribute
        if method_name in ('istitle', 'isprintable'):
            # istitle() doesn't directly map to Py_UNICODE_ISTITLE()
            # isprintable() is lacking C-API support in PyPy
            utility_code = UtilityCode.load_cached(
                "py_unicode_%s" % method_name, "StringTools.c")
            function_name = '__Pyx_Py_UNICODE_%s' % method_name.upper()
        else:
            utility_code = None
            function_name = 'Py_UNICODE_%s' % method_name.upper()
        func_call = self._substitute_method_call(
            node, function,
            function_name, self.PyUnicode_uchar_predicate_func_type,
            method_name, is_unbound_method, [uchar],
            utility_code = utility_code)
        if node.type.is_pyobject:
            func_call = func_call.coerce_to_pyobject(self.current_env)
        return func_call

    _handle_simple_method_unicode_isalnum   = _inject_unicode_predicate
    _handle_simple_method_unicode_isalpha   = _inject_unicode_predicate
    _handle_simple_method_unicode_isdecimal = _inject_unicode_predicate
    _handle_simple_method_unicode_isdigit   = _inject_unicode_predicate
    _handle_simple_method_unicode_islower   = _inject_unicode_predicate
    _handle_simple_method_unicode_isnumeric = _inject_unicode_predicate
    _handle_simple_method_unicode_isspace   = _inject_unicode_predicate
    _handle_simple_method_unicode_istitle   = _inject_unicode_predicate
    _handle_simple_method_unicode_isupper   = _inject_unicode_predicate
    _handle_simple_method_unicode_isprintable = _inject_unicode_predicate

    PyUnicode_uchar_conversion_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_py_ucs4_type, [
            PyrexTypes.CFuncTypeArg("uchar", PyrexTypes.c_py_ucs4_type, None),
            ])

    # DISABLED: Return value can only be one character, which is not correct.
    '''
    def _inject_unicode_character_conversion(self, node, function, args, is_unbound_method):
        if is_unbound_method or len(args) != 1:
            return node
        ustring = args[0]
        if not isinstance(ustring, ExprNodes.CoerceToPyTypeNode) or \
               not ustring.arg.type.is_unicode_char:
            return node
        uchar = ustring.arg
        method_name = function.attribute
        function_name = 'Py_UNICODE_TO%s' % method_name.upper()
        func_call = self._substitute_method_call(
            node, function,
            function_name, self.PyUnicode_uchar_conversion_func_type,
            method_name, is_unbound_method, [uchar])
        if node.type.is_pyobject:
            func_call = func_call.coerce_to_pyobject(self.current_env)
        return func_call

    #_handle_simple_method_unicode_lower = _inject_unicode_character_conversion
    #_handle_simple_method_unicode_upper = _inject_unicode_character_conversion
    #_handle_simple_method_unicode_title = _inject_unicode_character_conversion
    '''

    PyUnicode_Splitlines_func_type = PyrexTypes.CFuncType(
        Builtin.list_type, [
            PyrexTypes.CFuncTypeArg("str", Builtin.unicode_type, None),
            PyrexTypes.CFuncTypeArg("keepends", PyrexTypes.c_bint_type, None),
            ])

    def _handle_simple_method_unicode_splitlines(self, node, function, args, is_unbound_method):
        """Replace unicode.splitlines(...) by a direct call to the
        corresponding C-API function.
        """
        if len(args) not in (1,2):
            self._error_wrong_arg_count('unicode.splitlines', node, args, "1 or 2")
            return node
        self._inject_bint_default_argument(node, args, 1, False)

        return self._substitute_method_call(
            node, function,
            "PyUnicode_Splitlines", self.PyUnicode_Splitlines_func_type,
            'splitlines', is_unbound_method, args)

    PyUnicode_Split_func_type = PyrexTypes.CFuncType(
        Builtin.list_type, [
            PyrexTypes.CFuncTypeArg("str", Builtin.unicode_type, None),
            PyrexTypes.CFuncTypeArg("sep", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("maxsplit", PyrexTypes.c_py_ssize_t_type, None),
            ]
        )

    def _handle_simple_method_unicode_split(self, node, function, args, is_unbound_method):
        """Replace unicode.split(...) by a direct call to the
        corresponding C-API function.
        """
        if len(args) not in (1,2,3):
            self._error_wrong_arg_count('unicode.split', node, args, "1-3")
            return node
        if len(args) < 2:
            args.append(ExprNodes.NullNode(node.pos))
        else:
            self._inject_null_for_none(args, 1)
        self._inject_int_default_argument(
            node, args, 2, PyrexTypes.c_py_ssize_t_type, "-1")

        return self._substitute_method_call(
            node, function,
            "PyUnicode_Split", self.PyUnicode_Split_func_type,
            'split', is_unbound_method, args)

    PyUnicode_Join_func_type = PyrexTypes.CFuncType(
        Builtin.unicode_type, [
            PyrexTypes.CFuncTypeArg("str", Builtin.unicode_type, None),
            PyrexTypes.CFuncTypeArg("seq", PyrexTypes.py_object_type, None),
            ])

    def _handle_simple_method_unicode_join(self, node, function, args, is_unbound_method):
        """
        unicode.join() builds a list first => see if we can do this more efficiently
        """
        if len(args) != 2:
            self._error_wrong_arg_count('unicode.join', node, args, "2")
            return node
        if isinstance(args[1], ExprNodes.GeneratorExpressionNode):
            gen_expr_node = args[1]
            loop_node = gen_expr_node.loop

            yield_statements = _find_yield_statements(loop_node)
            if yield_statements:
                inlined_genexpr = ExprNodes.InlinedGeneratorExpressionNode(
                    node.pos, gen_expr_node, orig_func='list',
                    comprehension_type=Builtin.list_type)

                for yield_expression, yield_stat_node in yield_statements:
                    append_node = ExprNodes.ComprehensionAppendNode(
                        yield_expression.pos,
                        expr=yield_expression,
                        target=inlined_genexpr.target)

                    Visitor.recursively_replace_node(gen_expr_node, yield_stat_node, append_node)

                args[1] = inlined_genexpr

        return self._substitute_method_call(
            node, function,
            "PyUnicode_Join", self.PyUnicode_Join_func_type,
            'join', is_unbound_method, args)

    PyString_Tailmatch_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_bint_type, [
            PyrexTypes.CFuncTypeArg("str", PyrexTypes.py_object_type, None),  # bytes/str/unicode
            PyrexTypes.CFuncTypeArg("substring", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("start", PyrexTypes.c_py_ssize_t_type, None),
            PyrexTypes.CFuncTypeArg("end", PyrexTypes.c_py_ssize_t_type, None),
            PyrexTypes.CFuncTypeArg("direction", PyrexTypes.c_int_type, None),
            ],
        exception_value = '-1')

    def _handle_simple_method_unicode_endswith(self, node, function, args, is_unbound_method):
        return self._inject_tailmatch(
            node, function, args, is_unbound_method, 'unicode', 'endswith',
            unicode_tailmatch_utility_code, +1)

    def _handle_simple_method_unicode_startswith(self, node, function, args, is_unbound_method):
        return self._inject_tailmatch(
            node, function, args, is_unbound_method, 'unicode', 'startswith',
            unicode_tailmatch_utility_code, -1)

    def _inject_tailmatch(self, node, function, args, is_unbound_method, type_name,
                          method_name, utility_code, direction):
        """Replace unicode.startswith(...) and unicode.endswith(...)
        by a direct call to the corresponding C-API function.
        """
        if len(args) not in (2,3,4):
            self._error_wrong_arg_count('%s.%s' % (type_name, method_name), node, args, "2-4")
            return node
        self._inject_int_default_argument(
            node, args, 2, PyrexTypes.c_py_ssize_t_type, "0")
        self._inject_int_default_argument(
            node, args, 3, PyrexTypes.c_py_ssize_t_type, "PY_SSIZE_T_MAX")
        args.append(ExprNodes.IntNode(
            node.pos, value=str(direction), type=PyrexTypes.c_int_type))

        method_call = self._substitute_method_call(
            node, function,
            "__Pyx_Py%s_Tailmatch" % type_name.capitalize(),
            self.PyString_Tailmatch_func_type,
            method_name, is_unbound_method, args,
            utility_code = utility_code)
        return method_call.coerce_to(Builtin.bool_type, self.current_env())

    PyUnicode_Find_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_py_ssize_t_type, [
            PyrexTypes.CFuncTypeArg("str", Builtin.unicode_type, None),
            PyrexTypes.CFuncTypeArg("substring", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("start", PyrexTypes.c_py_ssize_t_type, None),
            PyrexTypes.CFuncTypeArg("end", PyrexTypes.c_py_ssize_t_type, None),
            PyrexTypes.CFuncTypeArg("direction", PyrexTypes.c_int_type, None),
            ],
        exception_value = '-2')

    def _handle_simple_method_unicode_find(self, node, function, args, is_unbound_method):
        return self._inject_unicode_find(
            node, function, args, is_unbound_method, 'find', +1)

    def _handle_simple_method_unicode_rfind(self, node, function, args, is_unbound_method):
        return self._inject_unicode_find(
            node, function, args, is_unbound_method, 'rfind', -1)

    def _inject_unicode_find(self, node, function, args, is_unbound_method,
                             method_name, direction):
        """Replace unicode.find(...) and unicode.rfind(...) by a
        direct call to the corresponding C-API function.
        """
        if len(args) not in (2,3,4):
            self._error_wrong_arg_count('unicode.%s' % method_name, node, args, "2-4")
            return node
        self._inject_int_default_argument(
            node, args, 2, PyrexTypes.c_py_ssize_t_type, "0")
        self._inject_int_default_argument(
            node, args, 3, PyrexTypes.c_py_ssize_t_type, "PY_SSIZE_T_MAX")
        args.append(ExprNodes.IntNode(
            node.pos, value=str(direction), type=PyrexTypes.c_int_type))

        method_call = self._substitute_method_call(
            node, function, "PyUnicode_Find", self.PyUnicode_Find_func_type,
            method_name, is_unbound_method, args)
        return method_call.coerce_to_pyobject(self.current_env())

    PyUnicode_Count_func_type = PyrexTypes.CFuncType(
        PyrexTypes.c_py_ssize_t_type, [
            PyrexTypes.CFuncTypeArg("str", Builtin.unicode_type, None),
            PyrexTypes.CFuncTypeArg("substring", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("start", PyrexTypes.c_py_ssize_t_type, None),
            PyrexTypes.CFuncTypeArg("end", PyrexTypes.c_py_ssize_t_type, None),
            ],
        exception_value = '-1')

    def _handle_simple_method_unicode_count(self, node, function, args, is_unbound_method):
        """Replace unicode.count(...) by a direct call to the
        corresponding C-API function.
        """
        if len(args) not in (2,3,4):
            self._error_wrong_arg_count('unicode.count', node, args, "2-4")
            return node
        self._inject_int_default_argument(
            node, args, 2, PyrexTypes.c_py_ssize_t_type, "0")
        self._inject_int_default_argument(
            node, args, 3, PyrexTypes.c_py_ssize_t_type, "PY_SSIZE_T_MAX")

        method_call = self._substitute_method_call(
            node, function, "PyUnicode_Count", self.PyUnicode_Count_func_type,
            'count', is_unbound_method, args)
        return method_call.coerce_to_pyobject(self.current_env())

    PyUnicode_Replace_func_type = PyrexTypes.CFuncType(
        Builtin.unicode_type, [
            PyrexTypes.CFuncTypeArg("str", Builtin.unicode_type, None),
            PyrexTypes.CFuncTypeArg("substring", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("replstr", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("maxcount", PyrexTypes.c_py_ssize_t_type, None),
            ])

    def _handle_simple_method_unicode_replace(self, node, function, args, is_unbound_method):
        """Replace unicode.replace(...) by a direct call to the
        corresponding C-API function.
        """
        if len(args) not in (3,4):
            self._error_wrong_arg_count('unicode.replace', node, args, "3-4")
            return node
        self._inject_int_default_argument(
            node, args, 3, PyrexTypes.c_py_ssize_t_type, "-1")

        return self._substitute_method_call(
            node, function, "PyUnicode_Replace", self.PyUnicode_Replace_func_type,
            'replace', is_unbound_method, args)

    PyUnicode_AsEncodedString_func_type = PyrexTypes.CFuncType(
        Builtin.bytes_type, [
            PyrexTypes.CFuncTypeArg("obj", Builtin.unicode_type, None),
            PyrexTypes.CFuncTypeArg("encoding", PyrexTypes.c_const_char_ptr_type, None),
            PyrexTypes.CFuncTypeArg("errors", PyrexTypes.c_const_char_ptr_type, None),
            ])

    PyUnicode_AsXyzString_func_type = PyrexTypes.CFuncType(
        Builtin.bytes_type, [
            PyrexTypes.CFuncTypeArg("obj", Builtin.unicode_type, None),
            ])

    _special_encodings = ['UTF8', 'UTF16', 'UTF-16LE', 'UTF-16BE', 'Latin1', 'ASCII',
                          'unicode_escape', 'raw_unicode_escape']

    _special_codecs = [ (name, codecs.getencoder(name))
                        for name in _special_encodings ]

    def _handle_simple_method_unicode_encode(self, node, function, args, is_unbound_method):
        """Replace unicode.encode(...) by a direct C-API call to the
        corresponding codec.
        """
        if len(args) < 1 or len(args) > 3:
            self._error_wrong_arg_count('unicode.encode', node, args, '1-3')
            return node

        string_node = args[0]

        if len(args) == 1:
            null_node = ExprNodes.NullNode(node.pos)
            return self._substitute_method_call(
                node, function, "PyUnicode_AsEncodedString",
                self.PyUnicode_AsEncodedString_func_type,
                'encode', is_unbound_method, [string_node, null_node, null_node])

        parameters = self._unpack_encoding_and_error_mode(node.pos, args)
        if parameters is None:
            return node
        encoding, encoding_node, error_handling, error_handling_node = parameters

        if encoding and isinstance(string_node, ExprNodes.UnicodeNode):
            # constant, so try to do the encoding at compile time
            try:
                value = string_node.value.encode(encoding, error_handling)
            except:
                # well, looks like we can't
                pass
            else:
                value = bytes_literal(value, encoding)
                return ExprNodes.BytesNode(string_node.pos, value=value, type=Builtin.bytes_type)

        if encoding and error_handling == 'strict':
            # try to find a specific encoder function
            codec_name = self._find_special_codec_name(encoding)
            if codec_name is not None and '-' not in codec_name:
                encode_function = "PyUnicode_As%sString" % codec_name
                return self._substitute_method_call(
                    node, function, encode_function,
                    self.PyUnicode_AsXyzString_func_type,
                    'encode', is_unbound_method, [string_node])

        return self._substitute_method_call(
            node, function, "PyUnicode_AsEncodedString",
            self.PyUnicode_AsEncodedString_func_type,
            'encode', is_unbound_method,
            [string_node, encoding_node, error_handling_node])

    PyUnicode_DecodeXyz_func_ptr_type = PyrexTypes.CPtrType(PyrexTypes.CFuncType(
        Builtin.unicode_type, [
            PyrexTypes.CFuncTypeArg("string", PyrexTypes.c_const_char_ptr_type, None),
            PyrexTypes.CFuncTypeArg("size", PyrexTypes.c_py_ssize_t_type, None),
            PyrexTypes.CFuncTypeArg("errors", PyrexTypes.c_const_char_ptr_type, None),
        ]))

    _decode_c_string_func_type = PyrexTypes.CFuncType(
        Builtin.unicode_type, [
            PyrexTypes.CFuncTypeArg("string", PyrexTypes.c_const_char_ptr_type, None),
            PyrexTypes.CFuncTypeArg("start", PyrexTypes.c_py_ssize_t_type, None),
            PyrexTypes.CFuncTypeArg("stop", PyrexTypes.c_py_ssize_t_type, None),
            PyrexTypes.CFuncTypeArg("encoding", PyrexTypes.c_const_char_ptr_type, None),
            PyrexTypes.CFuncTypeArg("errors", PyrexTypes.c_const_char_ptr_type, None),
            PyrexTypes.CFuncTypeArg("decode_func", PyUnicode_DecodeXyz_func_ptr_type, None),
        ])

    _decode_bytes_func_type = PyrexTypes.CFuncType(
        Builtin.unicode_type, [
            PyrexTypes.CFuncTypeArg("string", PyrexTypes.py_object_type, None),
            PyrexTypes.CFuncTypeArg("start", PyrexTypes.c_py_ssize_t_type, None),
            PyrexTypes.CFuncTypeArg("stop", PyrexTypes.c_py_ssize_t_type, None),
            PyrexTypes.CFuncTypeArg("encoding", PyrexTypes.c_const_char_ptr_type, None),
            PyrexTypes.CFuncTypeArg("errors", PyrexTypes.c_const_char_ptr_type, None),
            PyrexTypes.CFuncTypeArg("decode_func", PyUnicode_DecodeXyz_func_ptr_type, None),
        ])

    _decode_cpp_string_func_type = None  # lazy init

    def _handle_simple_method_bytes_decode(self, node, function, args, is_unbound_method):
        """Replace char*.decode() by a direct C-API call to the
        corresponding codec, possibly resolving a slice on the char*.
        """
        if not (1 <= len(args) <= 3):
            self._error_wrong_arg_count('bytes.decode', node, args, '1-3')
            return node

        # normalise input nodes
        string_node = args[0]
        start = stop = None
        if isinstance(string_node, ExprNodes.SliceIndexNode):
            index_node = string_node
            string_node = index_node.base
            start, stop = index_node.start, index_node.stop
            if not start or start.constant_result == 0:
                start = None
        if isinstance(string_node, ExprNodes.CoerceToPyTypeNode):
            string_node = string_node.arg

        string_type = string_node.type
        if string_type in (Builtin.bytes_type, Builtin.bytearray_type):
            if is_unbound_method:
                string_node = string_node.as_none_safe_node(
                    "descriptor '%s' requires a '%s' object but received a 'NoneType'",
                    format_args=['decode', string_type.name])
            else:
                string_node = string_node.as_none_safe_node(
                    "'NoneType' object has no attribute '%.30s'",
                    error="PyExc_AttributeError",
                    format_args=['decode'])
        elif not string_type.is_string and not string_type.is_cpp_string:
            # nothing to optimise here
            return node

        parameters = self._unpack_encoding_and_error_mode(node.pos, args)
        if parameters is None:
            return node
        encoding, encoding_node, error_handling, error_handling_node = parameters

        if not start:
            start = ExprNodes.IntNode(node.pos, value='0', constant_result=0)
        elif not start.type.is_int:
            start = start.coerce_to(PyrexTypes.c_py_ssize_t_type, self.current_env())
        if stop and not stop.type.is_int:
            stop = stop.coerce_to(PyrexTypes.c_py_ssize_t_type, self.current_env())

        # try to find a specific encoder function
        codec_name = None
        if encoding is not None:
            codec_name = self._find_special_codec_name(encoding)
        if codec_name is not None:
            if codec_name in ('UTF16', 'UTF-16LE', 'UTF-16BE'):
                codec_cname = "__Pyx_PyUnicode_Decode%s" % codec_name.replace('-', '')
            else:
                codec_cname = "PyUnicode_Decode%s" % codec_name
            decode_function = ExprNodes.RawCNameExprNode(
                node.pos, type=self.PyUnicode_DecodeXyz_func_ptr_type, cname=codec_cname)
            encoding_node = ExprNodes.NullNode(node.pos)
        else:
            decode_function = ExprNodes.NullNode(node.pos)

        # build the helper function call
        temps = []
        if string_type.is_string:
            # C string
            if not stop:
                # use strlen() to find the string length, just as CPython would
                if not string_node.is_name:
                    string_node = UtilNodes.LetRefNode(string_node)  # used twice
                    temps.append(string_node)
                stop = ExprNodes.PythonCapiCallNode(
                    string_node.pos, "__Pyx_ssize_strlen", self.Pyx_ssize_strlen_func_type,
                    args=[string_node],
                    is_temp=True,
                )
            helper_func_type = self._decode_c_string_func_type
            utility_code_name = 'decode_c_string'
        elif string_type.is_cpp_string:
            # C++ std::string
            if not stop:
                stop = ExprNodes.IntNode(node.pos, value='PY_SSIZE_T_MAX',
                                         constant_result=ExprNodes.not_a_constant)
            if self._decode_cpp_string_func_type is None:
                # lazy init to reuse the C++ string type
                self._decode_cpp_string_func_type = PyrexTypes.CFuncType(
                    Builtin.unicode_type, [
                        PyrexTypes.CFuncTypeArg("string", string_type, None),
                        PyrexTypes.CFuncTypeArg("start", PyrexTypes.c_py_ssize_t_type, None),
                        PyrexTypes.CFuncTypeArg("stop", PyrexTypes.c_py_ssize_t_type, None),
                        PyrexTypes.CFuncTypeArg("encoding", PyrexTypes.c_const_char_ptr_type, None),
                        PyrexTypes.CFuncTypeArg("errors", PyrexTypes.c_const_char_ptr_type, None),
                        PyrexTypes.CFuncTypeArg("decode_func", self.PyUnicode_DecodeXyz_func_ptr_type, None),
                    ])
            helper_func_type = self._decode_cpp_string_func_type
            utility_code_name = 'decode_cpp_string'
        else:
            # Python bytes/bytearray object
            if not stop:
                stop = ExprNodes.IntNode(node.pos, value='PY_SSIZE_T_MAX',
                                         constant_result=ExprNodes.not_a_constant)
            helper_func_type = self._decode_bytes_func_type
            if string_type is Builtin.bytes_type:
                utility_code_name = 'decode_bytes'
            else:
                utility_code_name = 'decode_bytearray'

        node = ExprNodes.PythonCapiCallNode(
            node.pos, '__Pyx_%s' % utility_code_name, helper_func_type,
            args=[string_node, start, stop, encoding_node, error_handling_node, decode_function],
            is_temp=node.is_temp,
            utility_code=UtilityCode.load_cached(utility_code_name, 'StringTools.c'),
        )

        for temp in temps[::-1]:
            node = UtilNodes.EvalWithTempExprNode(temp, node)
        return node

    _handle_simple_method_bytearray_decode = _handle_simple_method_bytes_decode

    def _find_special_codec_name(self, encoding):
        try:
            requested_codec = codecs.getencoder(encoding)
        except LookupError:
            return None
        for name, codec in self._special_codecs:
            if codec == requested_codec:
                if '_' in name:
                    name = ''.join([s.capitalize()
                                    for s in name.split('_')])
                return name
        return None

    def _unpack_encoding_and_error_mode(self, pos, args):
        null_node = ExprNodes.NullNode(pos)

        if len(args) >= 2:
            encoding, encoding_node = self._unpack_string_and_cstring_node(args[1])
            if encoding_node is None:
                return None
        else:
            encoding = None
            encoding_node = null_node

        if len(args) == 3:
            error_handling, error_handling_node = self._unpack_string_and_cstring_node(args[2])
            if error_handling_node is None:
                return None
            if error_handling == 'strict':
                error_handling_node = null_node
        else:
            error_handling = 'strict'
            error_handling_node = null_node

        return (encoding, encoding_node, error_handling, error_handling_node)

    def _unpack_string_and_cstring_node(self, node):
        if isinstance(node, ExprNodes.CoerceToPyTypeNode):
            node = node.arg
        if isinstance(node, ExprNodes.UnicodeNode):
            encoding = node.value
            node = ExprNodes.BytesNode(
                node.pos, value=encoding.as_utf8_string(), type=PyrexTypes.c_const_char_ptr_type)
        elif isinstance(node, (ExprNodes.StringNode, ExprNodes.BytesNode)):
            encoding = node.value.decode('ISO-8859-1')
            node = ExprNodes.BytesNode(
                node.pos, value=node.value, type=PyrexTypes.c_const_char_ptr_type)
        elif node.type is Builtin.bytes_type:
            encoding = None
            node = node.coerce_to(PyrexTypes.c_const_char_ptr_type, self.current_env())
        elif node.type.is_string:
            encoding = None
        else:
            encoding = node = None
        return encoding, node

    def _handle_simple_method_str_endswith(self, node, function, args, is_unbound_method):
        return self._inject_tailmatch(
            node, function, args, is_unbound_method, 'str', 'endswith',
            str_tailmatch_utility_code, +1)

    def _handle_simple_method_str_startswith(self, node, function, args, is_unbound_method):
        return self._inject_tailmatch(
            node, function, args, is_unbound_method, 'str', 'startswith',
            str_tailmatch_utility_code, -1)

    def _handle_simple_method_bytes_endswith(self, node, function, args, is_unbound_method):
        return self._inject_tailmatch(
            node, function, args, is_unbound_method, 'bytes', 'endswith',
            bytes_tailmatch_utility_code, +1)

    def _handle_simple_method_bytes_startswith(self, node, function, args, is_unbound_method):
        return self._inject_tailmatch(
            node, function, args, is_unbound_method, 'bytes', 'startswith',
            bytes_tailmatch_utility_code, -1)

    '''   # disabled for now, enable when we consider it worth it (see StringTools.c)
    def _handle_simple_method_bytearray_endswith(self, node, function, args, is_unbound_method):
        return self._inject_tailmatch(
            node, function, args, is_unbound_method, 'bytearray', 'endswith',
            bytes_tailmatch_utility_code, +1)

    def _handle_simple_method_bytearray_startswith(self, node, function, args, is_unbound_method):
        return self._inject_tailmatch(
            node, function, args, is_unbound_method, 'bytearray', 'startswith',
            bytes_tailmatch_utility_code, -1)
    '''

    ### helpers

    def _substitute_method_call(self, node, function, name, func_type,
                                attr_name, is_unbound_method, args=(),
                                utility_code=None, is_temp=None,
                                may_return_none=ExprNodes.PythonCapiCallNode.may_return_none,
                                with_none_check=True):
        args = list(args)
        if with_none_check and args:
            args[0] = self._wrap_self_arg(args[0], function, is_unbound_method, attr_name)
        if is_temp is None:
            is_temp = node.is_temp
        return ExprNodes.PythonCapiCallNode(
            node.pos, name, func_type,
            args = args,
            is_temp = is_temp,
            utility_code = utility_code,
            may_return_none = may_return_none,
            result_is_used = node.result_is_used,
            )

    def _wrap_self_arg(self, self_arg, function, is_unbound_method, attr_name):
        if self_arg.is_literal:
            return self_arg
        if is_unbound_method:
            self_arg = self_arg.as_none_safe_node(
                "descriptor '%s' requires a '%s' object but received a 'NoneType'",
                format_args=[attr_name, self_arg.type.name])
        else:
            self_arg = self_arg.as_none_safe_node(
                "'NoneType' object has no attribute '%{}s'".format('.30' if len(attr_name) <= 30 else ''),
                error="PyExc_AttributeError",
                format_args=[attr_name])
        return self_arg

    obj_to_obj_func_type = PyrexTypes.CFuncType(
        PyrexTypes.py_object_type, [
            PyrexTypes.CFuncTypeArg("obj", PyrexTypes.py_object_type, None)
        ])

    def _inject_null_for_none(self, args, index):
        if len(args) <= index:
            return
        arg = args[index]
        args[index] = ExprNodes.NullNode(arg.pos) if arg.is_none else ExprNodes.PythonCapiCallNode(
            arg.pos, "__Pyx_NoneAsNull",
            self.obj_to_obj_func_type,
            args=[arg.coerce_to_simple(self.current_env())],
            is_temp=0,
        )

    def _inject_int_default_argument(self, node, args, arg_index, type, default_value):
        # Python usually allows passing None for range bounds,
        # so we treat that as requesting the default.
        assert len(args) >= arg_index
        if len(args) == arg_index or args[arg_index].is_none:
            args.append(ExprNodes.IntNode(node.pos, value=str(default_value),
                                          type=type, constant_result=default_value))
        else:
            arg = args[arg_index].coerce_to(type, self.current_env())
            if isinstance(arg, ExprNodes.CoerceFromPyTypeNode):
                # Add a runtime check for None and map it to the default value.
                arg.special_none_cvalue = str(default_value)
            args[arg_index] = arg

    def _inject_bint_default_argument(self, node, args, arg_index, default_value):
        assert len(args) >= arg_index
        if len(args) == arg_index:
            default_value = bool(default_value)
            args.append(ExprNodes.BoolNode(node.pos, value=default_value,
                                           constant_result=default_value))
        else:
            args[arg_index] = args[arg_index].coerce_to_boolean(self.current_env())


def optimise_numeric_binop(operator, node, ret_type, arg0, arg1):
    """
    Optimise math operators for (likely) float or small integer operations.
    """
    # When adding IntNode/FloatNode to something else, assume other operand is also numeric.
    # Prefer constants on RHS as they allows better size control for some operators.
    num_nodes = (ExprNodes.IntNode, ExprNodes.FloatNode)
    if isinstance(arg1, num_nodes):
        if arg0.type is not PyrexTypes.py_object_type and arg0.type is not Builtin.int_type:
            return None
        numval = arg1
        arg_order = 'ObjC'
    elif isinstance(arg0, num_nodes):
        if arg1.type is not PyrexTypes.py_object_type and arg1.type is not Builtin.int_type:
            return None
        numval = arg0
        arg_order = 'CObj'
    else:
        return None

    if not numval.has_constant_result():
        return None

    # is_float is an instance check rather that numval.type.is_float because
    # it will often be a Python float type rather than a C float type
    is_float = isinstance(numval, ExprNodes.FloatNode)
    num_type = PyrexTypes.c_double_type if is_float else PyrexTypes.c_long_type
    if is_float:
        if operator not in ('Add', 'Subtract', 'Remainder', 'TrueDivide', 'Divide', 'Eq', 'Ne'):
            return None
    elif operator == 'Divide':
        # mixed old-/new-style division is not currently optimised for integers
        return None
    elif abs(numval.constant_result) > 2**30:
        # Cut off at an integer border that is still safe for all operations.
        return None

    if operator in ('TrueDivide', 'FloorDivide', 'Divide', 'Remainder'):
        if arg1.constant_result == 0:
            # Don't optimise division by 0. :)
            return None

    extra_args = []

    extra_args.append((ExprNodes.FloatNode if is_float else ExprNodes.IntNode)(
        numval.pos, value=numval.value, constant_result=numval.constant_result,
        type=num_type))
    inplace = node.inplace if isinstance(node, ExprNodes.NumBinopNode) else False
    extra_args.append(ExprNodes.BoolNode(node.pos, value=inplace, constant_result=inplace))
    if is_float or operator not in ('Eq', 'Ne'):
        # "PyFloatBinop" and "PyIntBinop" take an additional "check for zero division" argument.
        zerodivision_check = arg_order == 'CObj' and (
            not node.cdivision if isinstance(node, ExprNodes.DivNode) else False)
        extra_args.append(ExprNodes.BoolNode(node.pos, value=zerodivision_check, constant_result=zerodivision_check))

    utility_code = TempitaUtilityCode.load_cached(
        "PyFloatBinop" if is_float else "PyIntCompare" if operator in ('Eq', 'Ne') else "PyIntBinop",
        "Optimize.c",
        context=dict(op=operator, order=arg_order, ret_type=ret_type))

    func_cname = "__Pyx_Py%s_%s%s%s" % (
        'Float' if is_float else 'Int',
        '' if ret_type.is_pyobject else 'Bool',
        operator,
        arg_order)

    return func_cname, utility_code, extra_args, num_type


unicode_tailmatch_utility_code = UtilityCode.load_cached('unicode_tailmatch', 'StringTools.c')
bytes_tailmatch_utility_code = UtilityCode.load_cached('bytes_tailmatch', 'StringTools.c')
str_tailmatch_utility_code = UtilityCode.load_cached('str_tailmatch', 'StringTools.c')


class ConstantFolding(Visitor.VisitorTransform, SkipDeclarations):
    """Calculate the result of constant expressions to store it in
    ``expr_node.constant_result``, and replace trivial cases by their
    constant result.

    General rules:

    - We calculate float constants to make them available to the
      compiler, but we do not aggregate them into a single literal
      node to prevent any loss of precision.

    - We recursively calculate constants from non-literal nodes to
      make them available to the compiler, but we only aggregate
      literal nodes at each step.  Non-literal nodes are never merged
      into a single node.
    """

    def __init__(self, reevaluate=False):
        """
        The reevaluate argument specifies whether constant values that were
        previously computed should be recomputed.
        """
        super().__init__()
        self.reevaluate = reevaluate

    def _calculate_const(self, node):
        if (not self.reevaluate and
                node.constant_result is not ExprNodes.constant_value_not_set):
            return

        # make sure we always set the value
        not_a_constant = ExprNodes.not_a_constant
        node.constant_result = not_a_constant

        # check if all children are constant
        children = self.visitchildren(node)
        for child_result in children.values():
            if type(child_result) is list:
                for child in child_result:
                    if getattr(child, 'constant_result', not_a_constant) is not_a_constant:
                        return
            elif getattr(child_result, 'constant_result', not_a_constant) is not_a_constant:
                return

        # now try to calculate the real constant value
        try:
            node.calculate_constant_result()
#            if node.constant_result is not ExprNodes.not_a_constant:
#                print node.__class__.__name__, node.constant_result
        except (ValueError, TypeError, KeyError, IndexError, AttributeError, ArithmeticError):
            # ignore all 'normal' errors here => no constant result
            pass
        except Exception:
            # this looks like a real error
            import traceback, sys
            traceback.print_exc(file=sys.stdout)

    NODE_TYPE_ORDER = [ExprNodes.BoolNode, ExprNodes.CharNode,
                       ExprNodes.IntNode, ExprNodes.FloatNode]

    def _widest_node_class(self, *nodes):
        try:
            return self.NODE_TYPE_ORDER[
                max(map(self.NODE_TYPE_ORDER.index, map(type, nodes)))]
        except ValueError:
            return None

    def _bool_node(self, node, value):
        value = bool(value)
        return ExprNodes.BoolNode(node.pos, value=value, constant_result=value)

    def visit_ExprNode(self, node):
        self._calculate_const(node)
        return node

    def visit_UnopNode(self, node):
        self._calculate_const(node)
        if not node.has_constant_result():
            if node.operator == '!':
                return self._handle_NotNode(node)
            return node
        if not node.operand.is_literal:
            return node
        if node.operator == '!':
            return self._bool_node(node, node.constant_result)
        elif isinstance(node.operand, ExprNodes.BoolNode):
            return ExprNodes.IntNode(node.pos, value=str(int(node.constant_result)),
                                     type=PyrexTypes.c_int_type,
                                     constant_result=int(node.constant_result))
        elif node.operator == '+':
            return self._handle_UnaryPlusNode(node)
        elif node.operator == '-':
            return self._handle_UnaryMinusNode(node)
        return node

    _negate_operator = {
        'in': 'not_in',
        'not_in': 'in',
        'is': 'is_not',
        'is_not': 'is'
    }.get

    def _handle_NotNode(self, node):
        operand = node.operand
        if isinstance(operand, ExprNodes.PrimaryCmpNode):
            operator = self._negate_operator(operand.operator)
            if operator:
                node = copy.copy(operand)
                node.operator = operator
                node = self.visit_PrimaryCmpNode(node)
        return node

    def _handle_UnaryMinusNode(self, node):
        def _negate(value):
            if value.startswith('-'):
                value = value[1:]
            else:
                value = '-' + value
            return value

        node_type = node.operand.type
        if isinstance(node.operand, ExprNodes.FloatNode):
            # this is a safe operation
            return ExprNodes.FloatNode(node.pos, value=_negate(node.operand.value),
                                       type=node_type,
                                       constant_result=node.constant_result)
        if node_type.is_int and node_type.signed or \
                isinstance(node.operand, ExprNodes.IntNode) and node_type.is_pyobject:
            return ExprNodes.IntNode(node.pos, value=_negate(node.operand.value),
                                     type=node_type,
                                     longness=node.operand.longness,
                                     constant_result=node.constant_result)
        return node

    def _handle_UnaryPlusNode(self, node):
        if (node.operand.has_constant_result() and
                    node.constant_result == node.operand.constant_result):
            return node.operand
        return node

    def visit_BoolBinopNode(self, node):
        self._calculate_const(node)
        if not node.operand1.has_constant_result():
            return node
        if node.operand1.constant_result:
            if node.operator == 'and':
                return node.operand2
            else:
                return node.operand1
        else:
            if node.operator == 'and':
                return node.operand1
            else:
                return node.operand2

    def visit_BinopNode(self, node):
        self._calculate_const(node)
        if node.constant_result is ExprNodes.not_a_constant:
            return node
        if isinstance(node.constant_result, float):
            return node
        operand1, operand2 = node.operand1, node.operand2
        if not operand1.is_literal or not operand2.is_literal:
            return node

        # now inject a new constant node with the calculated value
        try:
            type1, type2 = operand1.type, operand2.type
            if type1 is None or type2 is None:
                return node
        except AttributeError:
            return node

        if type1.is_numeric and type2.is_numeric:
            widest_type = PyrexTypes.widest_numeric_type(type1, type2)
        else:
            widest_type = PyrexTypes.py_object_type

        target_class = self._widest_node_class(operand1, operand2)
        if target_class is None:
            return node
        elif target_class is ExprNodes.BoolNode and node.operator in '+-//<<%**>>':
            # C arithmetic results in at least an int type
            target_class = ExprNodes.IntNode
        elif target_class is ExprNodes.CharNode and node.operator in '+-//<<%**>>&|^':
            # C arithmetic results in at least an int type
            target_class = ExprNodes.IntNode

        if target_class is ExprNodes.IntNode:
            unsigned = getattr(operand1, 'unsigned', '') and \
                       getattr(operand2, 'unsigned', '')
            longness = "LL"[:max(len(getattr(operand1, 'longness', '')),
                                 len(getattr(operand2, 'longness', '')))]
            value = hex(int(node.constant_result))
            value = Utils.strip_py2_long_suffix(value)
            new_node = ExprNodes.IntNode(pos=node.pos,
                                         unsigned=unsigned, longness=longness,
                                         value=value,
                                         constant_result=int(node.constant_result))
            # IntNode is smart about the type it chooses, so we just
            # make sure we were not smarter this time
            if widest_type.is_pyobject or new_node.type.is_pyobject:
                new_node.type = PyrexTypes.py_object_type
            else:
                new_node.type = PyrexTypes.widest_numeric_type(widest_type, new_node.type)
        else:
            if target_class is ExprNodes.BoolNode:
                node_value = node.constant_result
            else:
                node_value = str(node.constant_result)
            new_node = target_class(pos=node.pos, type = widest_type,
                                    value = node_value,
                                    constant_result = node.constant_result)
        return new_node

    def visit_AddNode(self, node):
        self._calculate_const(node)
        if node.constant_result is ExprNodes.not_a_constant:
            return node
        if node.operand1.is_string_literal and node.operand2.is_string_literal:
            # some people combine string literals with a '+'
            str1, str2 = node.operand1, node.operand2
            if isinstance(str1, ExprNodes.UnicodeNode) and isinstance(str2, ExprNodes.UnicodeNode):
                bytes_value = None
                if str1.bytes_value is not None and str2.bytes_value is not None:
                    if str1.bytes_value.encoding == str2.bytes_value.encoding:
                        bytes_value = bytes_literal(
                            str1.bytes_value + str2.bytes_value,
                            str1.bytes_value.encoding)
                string_value = EncodedString(node.constant_result)
                return ExprNodes.UnicodeNode(
                    str1.pos, value=string_value, constant_result=node.constant_result, bytes_value=bytes_value)
            elif isinstance(str1, ExprNodes.BytesNode) and isinstance(str2, ExprNodes.BytesNode):
                if str1.value.encoding == str2.value.encoding:
                    bytes_value = bytes_literal(node.constant_result, str1.value.encoding)
                    return ExprNodes.BytesNode(str1.pos, value=bytes_value, constant_result=node.constant_result)
            # all other combinations are rather complicated
            # to get right in Py2/3: encodings, unicode escapes, ...
        return self.visit_BinopNode(node)

    def visit_MulNode(self, node):
        self._calculate_const(node)
        if node.operand1.is_sequence_constructor:
            return self._calculate_constant_seq(node, node.operand1, node.operand2)
        if isinstance(node.operand1, ExprNodes.IntNode) and \
                node.operand2.is_sequence_constructor:
            return self._calculate_constant_seq(node, node.operand2, node.operand1)
        if node.operand1.is_string_literal:
            return self._multiply_string(node, node.operand1, node.operand2)
        elif node.operand2.is_string_literal:
            return self._multiply_string(node, node.operand2, node.operand1)
        return self.visit_BinopNode(node)

    def _multiply_string(self, node, string_node, multiplier_node):
        multiplier = multiplier_node.constant_result
        if not isinstance(multiplier, int):
            return node
        if not (node.has_constant_result() and isinstance(node.constant_result, _py_string_types)):
            return node
        if len(node.constant_result) > 256:
            # Too long for static creation, leave it to runtime.  (-> arbitrary limit)
            return node

        build_string = encoded_string
        if isinstance(string_node, ExprNodes.BytesNode):
            build_string = bytes_literal
        elif isinstance(string_node, ExprNodes.StringNode):
            if string_node.unicode_value is not None:
                string_node.unicode_value = encoded_string(
                    string_node.unicode_value * multiplier,
                    string_node.unicode_value.encoding)
            build_string = encoded_string if string_node.value.is_unicode else bytes_literal
        elif isinstance(string_node, ExprNodes.UnicodeNode):
            if string_node.bytes_value is not None:
                string_node.bytes_value = bytes_literal(
                    string_node.bytes_value * multiplier,
                    string_node.bytes_value.encoding)
        else:
            assert False, "unknown string node type: %s" % type(string_node)
        string_node.value = build_string(
            string_node.value * multiplier,
            string_node.value.encoding)
        # follow constant-folding and use unicode_value in preference
        if isinstance(string_node, ExprNodes.StringNode) and string_node.unicode_value is not None:
            string_node.constant_result = string_node.unicode_value
        else:
            string_node.constant_result = string_node.value
        return string_node

    def _calculate_constant_seq(self, node, sequence_node, factor):
        if factor.constant_result != 1 and sequence_node.args:
            if isinstance(factor.constant_result, int) and factor.constant_result <= 0:
                del sequence_node.args[:]
                sequence_node.mult_factor = None
            elif sequence_node.mult_factor is not None:
                if (isinstance(factor.constant_result, int) and
                        isinstance(sequence_node.mult_factor.constant_result, int)):
                    value = sequence_node.mult_factor.constant_result * factor.constant_result
                    sequence_node.mult_factor = ExprNodes.IntNode(
                        sequence_node.mult_factor.pos,
                        value=str(value), constant_result=value)
                else:
                    # don't know if we can combine the factors, so don't
                    return self.visit_BinopNode(node)
            else:
                sequence_node.mult_factor = factor
        return sequence_node

    def visit_ModNode(self, node):
        self.visitchildren(node)
        if isinstance(node.operand1, ExprNodes.UnicodeNode) and isinstance(node.operand2, ExprNodes.TupleNode):
            if not node.operand2.mult_factor:
                fstring = self._build_fstring(node.operand1.pos, node.operand1.value, node.operand2.args)
                if fstring is not None:
                    return fstring
        return self.visit_BinopNode(node)

    _parse_string_format_regex = (
        '(%(?:'              # %...
        '(?:[-0-9]+|[ ])?'   # width (optional) or space prefix fill character (optional)
        '(?:[.][0-9]+)?'     # precision (optional)
        ')?.)'               # format type (or something different for unsupported formats)
    )

    def _build_fstring(self, pos, ustring, format_args):
        # Issues formatting warnings instead of errors since we really only catch a few errors by accident.
        args = iter(format_args)
        substrings = []
        can_be_optimised = True
        for s in re.split(self._parse_string_format_regex, ustring):
            if not s:
                continue
            if s == '%%':
                substrings.append(ExprNodes.UnicodeNode(pos, value=EncodedString('%'), constant_result='%'))
                continue
            if s[0] != '%':
                if s[-1] == '%':
                    warning(pos, "Incomplete format: '...%s'" % s[-3:], level=1)
                    can_be_optimised = False
                substrings.append(ExprNodes.UnicodeNode(pos, value=EncodedString(s), constant_result=s))
                continue
            format_type = s[-1]
            try:
                arg = next(args)
            except StopIteration:
                warning(pos, "Too few arguments for format placeholders", level=1)
                can_be_optimised = False
                break
            if arg.is_starred:
                can_be_optimised = False
                break
            if format_type in 'asrfdoxX':
                format_spec = s[1:]
                conversion_char = None
                if format_type in 'doxX' and '.' in format_spec:
                    # Precision is not allowed for integers in format(), but ok in %-formatting.
                    can_be_optimised = False
                elif format_type in 'ars':
                    format_spec = format_spec[:-1]
                    conversion_char = format_type
                    if format_spec.startswith('0'):
                        format_spec = '>' + format_spec[1:]  # right-alignment '%05s' spells '{:>5}'
                elif format_type == 'd':
                    # '%d' formatting supports float, but '{obj:d}' does not => convert to int first.
                    conversion_char = 'd'

                if format_spec.startswith('-'):
                    format_spec = '<' + format_spec[1:]  # left-alignment '%-5s' spells '{:<5}'

                substrings.append(ExprNodes.FormattedValueNode(
                    arg.pos, value=arg,
                    conversion_char=conversion_char,
                    format_spec=ExprNodes.UnicodeNode(
                        pos, value=EncodedString(format_spec), constant_result=format_spec)
                        if format_spec else None,
                ))
            else:
                # keep it simple for now ...
                can_be_optimised = False
                break

        if not can_be_optimised:
            # Print all warnings we can find before finally giving up here.
            return None

        try:
            next(args)
        except StopIteration: pass
        else:
            warning(pos, "Too many arguments for format placeholders", level=1)
            return None

        node = ExprNodes.JoinedStrNode(pos, values=substrings)
        return self.visit_JoinedStrNode(node)

    def visit_FormattedValueNode(self, node):
        self.visitchildren(node)
        conversion_char = node.conversion_char or 's'
        if isinstance(node.format_spec, ExprNodes.UnicodeNode) and not node.format_spec.value:
            node.format_spec = None
        if node.format_spec is None and isinstance(node.value, ExprNodes.IntNode):
            value = EncodedString(node.value.value)
            if value.isdigit():
                return ExprNodes.UnicodeNode(node.value.pos, value=value, constant_result=value)
        if node.format_spec is None and conversion_char == 's':
            value = None
            if isinstance(node.value, ExprNodes.UnicodeNode):
                value = node.value.value
            elif isinstance(node.value, ExprNodes.StringNode):
                value = node.value.unicode_value
            if value is not None:
                return ExprNodes.UnicodeNode(node.value.pos, value=value, constant_result=value)
        return node

    def visit_JoinedStrNode(self, node):
        """
        Clean up after the parser by discarding empty Unicode strings and merging
        substring sequences.  Empty or single-value join lists are not uncommon
        because f-string format specs are always parsed into JoinedStrNodes.
        """
        self.visitchildren(node)
        unicode_node = ExprNodes.UnicodeNode

        values = []
        for is_unode_group, substrings in itertools.groupby(node.values, lambda v: isinstance(v, unicode_node)):
            if is_unode_group:
                substrings = list(substrings)
                unode = substrings[0]
                if len(substrings) > 1:
                    value = EncodedString(''.join(value.value for value in substrings))
                    unode = ExprNodes.UnicodeNode(unode.pos, value=value, constant_result=value)
                # ignore empty Unicode strings
                if unode.value:
                    values.append(unode)
            else:
                values.extend(substrings)

        if not values:
            value = EncodedString('')
            node = ExprNodes.UnicodeNode(node.pos, value=value, constant_result=value)
        elif len(values) == 1:
            node = values[0]
        elif len(values) == 2:
            # reduce to string concatenation
            node = ExprNodes.binop_node(node.pos, '+', *values)
        else:
            node.values = values
        return node

    def visit_MergedDictNode(self, node):
        """Unpack **args in place if we can."""
        self.visitchildren(node)
        args = []
        items = []

        def add(parent, arg):
            if arg.is_dict_literal:
                if items and items[-1].reject_duplicates == arg.reject_duplicates:
                    items[-1].key_value_pairs.extend(arg.key_value_pairs)
                else:
                    items.append(arg)
            elif isinstance(arg, ExprNodes.MergedDictNode) and parent.reject_duplicates == arg.reject_duplicates:
                for child_arg in arg.keyword_args:
                    add(arg, child_arg)
            else:
                if items:
                    args.extend(items)
                    del items[:]
                args.append(arg)

        for arg in node.keyword_args:
            add(node, arg)
        if items:
            args.extend(items)

        if len(args) == 1:
            arg = args[0]
            if arg.is_dict_literal or isinstance(arg, ExprNodes.MergedDictNode):
                return arg
        node.keyword_args[:] = args
        self._calculate_const(node)
        return node

    def visit_MergedSequenceNode(self, node):
        """Unpack *args in place if we can."""
        self.visitchildren(node)

        is_set = node.type is Builtin.set_type
        args = []
        values = []

        def add(arg):
            if (is_set and arg.is_set_literal) or (arg.is_sequence_constructor and not arg.mult_factor):
                if values:
                    values[0].args.extend(arg.args)
                else:
                    values.append(arg)
            elif isinstance(arg, ExprNodes.MergedSequenceNode):
                for child_arg in arg.args:
                    add(child_arg)
            else:
                if values:
                    args.append(values[0])
                    del values[:]
                args.append(arg)

        for arg in node.args:
            add(arg)
        if values:
            args.append(values[0])

        if len(args) == 1:
            arg = args[0]
            if ((is_set and arg.is_set_literal) or
                    (arg.is_sequence_constructor and arg.type is node.type) or
                    isinstance(arg, ExprNodes.MergedSequenceNode)):
                return arg
        node.args[:] = args
        self._calculate_const(node)
        return node

    def visit_SequenceNode(self, node):
        """Unpack *args in place if we can."""
        self.visitchildren(node)
        args = []
        for arg in node.args:
            if not arg.is_starred:
                args.append(arg)
            elif arg.target.is_sequence_constructor and not arg.target.mult_factor:
                args.extend(arg.target.args)
            else:
                args.append(arg)
        node.args[:] = args
        self._calculate_const(node)
        return node

    def visit_PrimaryCmpNode(self, node):
        # calculate constant partial results in the comparison cascade
        self.visitchildren(node, ['operand1'])
        left_node = node.operand1
        cmp_node = node
        while cmp_node is not None:
            self.visitchildren(cmp_node, ['operand2'])
            right_node = cmp_node.operand2
            cmp_node.constant_result = not_a_constant
            if left_node.has_constant_result() and right_node.has_constant_result():
                try:
                    cmp_node.calculate_cascaded_constant_result(left_node.constant_result)
                except (ValueError, TypeError, KeyError, IndexError, AttributeError, ArithmeticError):
                    pass  # ignore all 'normal' errors here => no constant result
            left_node = right_node
            cmp_node = cmp_node.cascade

        if not node.cascade:
            if node.has_constant_result():
                return self._bool_node(node, node.constant_result)
            return node

        # collect partial cascades: [[value, CmpNode...], [value, CmpNode, ...], ...]
        cascades = [[node.operand1]]
        final_false_result = []

        cmp_node = node
        while cmp_node is not None:
            if cmp_node.has_constant_result():
                if not cmp_node.constant_result:
                    # False => short-circuit
                    final_false_result.append(self._bool_node(cmp_node, False))
                    break
                else:
                    # True => discard and start new cascade
                    cascades.append([cmp_node.operand2])
            else:
                # not constant => append to current cascade
                cascades[-1].append(cmp_node)
            cmp_node = cmp_node.cascade

        cmp_nodes = []
        for cascade in cascades:
            if len(cascade) < 2:
                continue
            cmp_node = cascade[1]
            pcmp_node = ExprNodes.PrimaryCmpNode(
                cmp_node.pos,
                operand1=cascade[0],
                operator=cmp_node.operator,
                operand2=cmp_node.operand2,
                constant_result=not_a_constant)
            cmp_nodes.append(pcmp_node)

            last_cmp_node = pcmp_node
            for cmp_node in cascade[2:]:
                last_cmp_node.cascade = cmp_node
                last_cmp_node = cmp_node
            last_cmp_node.cascade = None

        if final_false_result:
            # last cascade was constant False
            cmp_nodes.append(final_false_result[0])
        elif not cmp_nodes:
            # only constants, but no False result
            return self._bool_node(node, True)
        node = cmp_nodes[0]
        if len(cmp_nodes) == 1:
            if node.has_constant_result():
                return self._bool_node(node, node.constant_result)
        else:
            for cmp_node in cmp_nodes[1:]:
                node = ExprNodes.BoolBinopNode(
                    node.pos,
                    operand1=node,
                    operator='and',
                    operand2=cmp_node,
                    constant_result=not_a_constant)
        return node

    def visit_CondExprNode(self, node):
        self._calculate_const(node)
        if not node.test.has_constant_result():
            return node
        if node.test.constant_result:
            return node.true_val
        else:
            return node.false_val

    def visit_IfStatNode(self, node):
        self.visitchildren(node)
        # eliminate dead code based on constant condition results
        if_clauses = []
        for if_clause in node.if_clauses:
            condition = if_clause.condition
            if condition.has_constant_result():
                if condition.constant_result:
                    # always true => subsequent clauses can safely be dropped
                    node.else_clause = if_clause.body
                    break
                # else: false => drop clause
            else:
                # unknown result => normal runtime evaluation
                if_clauses.append(if_clause)
        if if_clauses:
            node.if_clauses = if_clauses
            return node
        elif node.else_clause:
            return node.else_clause
        else:
            return Nodes.StatListNode(node.pos, stats=[])

    def visit_SliceIndexNode(self, node):
        self._calculate_const(node)
        # normalise start/stop values
        if node.start is None or node.start.constant_result is None:
            start = node.start = None
        else:
            start = node.start.constant_result
        if node.stop is None or node.stop.constant_result is None:
            stop = node.stop = None
        else:
            stop = node.stop.constant_result
        # cut down sliced constant sequences
        if node.constant_result is not not_a_constant:
            base = node.base
            if base.is_sequence_constructor and base.mult_factor is None:
                base.args = base.args[start:stop]
                return base
            elif base.is_string_literal:
                base = base.as_sliced_node(start, stop)
                if base is not None:
                    return base
        return node

    def visit_ComprehensionNode(self, node):
        self.visitchildren(node)
        if isinstance(node.loop, Nodes.StatListNode) and not node.loop.stats:
            # loop was pruned already => transform into literal
            if node.type is Builtin.list_type:
                return ExprNodes.ListNode(
                    node.pos, args=[], constant_result=[])
            elif node.type is Builtin.set_type:
                return ExprNodes.SetNode(
                    node.pos, args=[], constant_result=set())
            elif node.type is Builtin.dict_type:
                return ExprNodes.DictNode(
                    node.pos, key_value_pairs=[], constant_result={})
        return node

    def visit_ForInStatNode(self, node):
        self.visitchildren(node)
        sequence = node.iterator.sequence
        if isinstance(sequence, ExprNodes.SequenceNode):
            if not sequence.args:
                if node.else_clause:
                    return node.else_clause
                else:
                    # don't break list comprehensions
                    return Nodes.StatListNode(node.pos, stats=[])
            # iterating over a list literal? => tuples are more efficient
            if isinstance(sequence, ExprNodes.ListNode):
                node.iterator.sequence = sequence.as_tuple()
        return node

    def visit_WhileStatNode(self, node):
        self.visitchildren(node)
        if node.condition and node.condition.has_constant_result():
            if node.condition.constant_result:
                node.condition = None
                node.else_clause = None
            else:
                return node.else_clause
        return node

    def visit_ExprStatNode(self, node):
        self.visitchildren(node)
        if not isinstance(node.expr, ExprNodes.ExprNode):
            # ParallelRangeTransform does this ...
            return node
        # drop unused constant expressions
        if node.expr.has_constant_result():
            return None
        return node

    def visit_GILStatNode(self, node):
        self.visitchildren(node)
        if node.condition is None:
            return node

        if node.condition.has_constant_result():
            # Condition is True - Modify node to be a normal
            # GILStatNode with condition=None
            if node.condition.constant_result:
                node.condition = None

            # Condition is False - the body of the GILStatNode
            # should run without changing the state of the gil
            # return the body of the GILStatNode
            else:
                return node.body

        # If condition is not constant we keep the GILStatNode as it is.
        # Either it will later become constant (e.g. a `numeric is int`
        # expression in a fused type function) and then when ConstantFolding
        # runs again it will be handled or a later transform (i.e. GilCheck)
        # will raise an error
        return node

    # in the future, other nodes can have their own handler method here
    # that can replace them with a constant result node

    visit_Node = Visitor.VisitorTransform.recurse_to_children


class FinalOptimizePhase(Visitor.EnvTransform, Visitor.NodeRefCleanupMixin):
    """
    This visitor handles several commuting optimizations, and is run
    just before the C code generation phase.

    The optimizations currently implemented in this class are:
        - eliminate None assignment and refcounting for first assignment.
        - isinstance -> typecheck for cdef types
        - eliminate checks for None and/or types that became redundant after tree changes
        - eliminate useless string formatting steps
        - inject branch hints for unlikely if-cases that only raise exceptions
        - replace Python function calls that look like method calls by a faster PyMethodCallNode
    """
    in_loop = False

    def visit_SingleAssignmentNode(self, node):
        """Avoid redundant initialisation of local variables before their
        first assignment.
        """
        self.visitchildren(node)
        if node.first:
            lhs = node.lhs
            lhs.lhs_of_first_assignment = True
        return node

    def _check_optimize_method_calls(self, node):
        function = node.function
        return (node.is_temp and function.type.is_pyobject and self.current_directives.get(
                "optimize.unpack_method_calls_in_pyinit"
                if not self.in_loop and self.current_env().is_module_scope
                else "optimize.unpack_method_calls"))

    def visit_SimpleCallNode(self, node):
        """
        Replace generic calls to isinstance(x, type) by a more efficient type check.
        Replace likely Python method calls by a specialised PyMethodCallNode.
        """
        self.visitchildren(node)
        function = node.function
        if function.type.is_cfunction and function.is_name:
            if function.name == 'isinstance' and len(node.args) == 2:
                type_arg = node.args[1]
                if type_arg.type.is_builtin_type and type_arg.type.name == 'type':
                    cython_scope = self.context.cython_scope
                    function.entry = cython_scope.lookup('PyObject_TypeCheck')
                    function.type = function.entry.type
                    PyTypeObjectPtr = PyrexTypes.CPtrType(cython_scope.lookup('PyTypeObject').type)
                    node.args[1] = ExprNodes.CastNode(node.args[1], PyTypeObjectPtr)
        else:
            # optimise simple Python methods calls
            if ExprNodes.PyMethodCallNode.can_be_used_for_posargs(node.arg_tuple, has_kwargs=False):
                # simple call, now exclude calls to objects that are definitely not methods
                if ExprNodes.PyMethodCallNode.can_be_used_for_function(function):
                    if (node.self and function.is_attribute and
                            isinstance(function.obj, ExprNodes.CloneNode) and function.obj.arg is node.self):
                        # function self object was moved into a CloneNode => undo
                        function.obj = function.obj.arg
                    node = self.replace(node, ExprNodes.PyMethodCallNode.from_node(
                        node, function=function, arg_tuple=node.arg_tuple, type=node.type,
                        unpack=self._check_optimize_method_calls(node)))
        return node

    def visit_GeneralCallNode(self, node):
        """
        Replace likely Python method calls by a specialised PyMethodCallNode.
        """
        self.visitchildren(node)
        has_kwargs = bool(node.keyword_args)
        kwds_is_dict_node = isinstance(node.keyword_args, ExprNodes.DictNode)
        if not ExprNodes.PyMethodCallNode.can_be_used_for_posargs(
                node.positional_args, has_kwargs=has_kwargs, kwds_is_dict_node=kwds_is_dict_node):
            return node
        function = node.function
        if not ExprNodes.PyMethodCallNode.can_be_used_for_function(function):
            return node

        node = self.replace(node, ExprNodes.PyMethodCallNode.from_node(
            node, function=function, arg_tuple=node.positional_args, kwdict=node.keyword_args,
            type=node.type, unpack=self._check_optimize_method_calls(node)))
        return node

    def visit_NumPyMethodCallNode(self, node):
        # Exclude from replacement above.
        self.visitchildren(node)
        return node

    def visit_PyTypeTestNode(self, node):
        """Remove tests for alternatively allowed None values from
        type tests when we know that the argument cannot be None
        anyway.
        """
        self.visitchildren(node)
        if not node.notnone:
            if not node.arg.may_be_none():
                node.notnone = True
        return node

    def visit_NoneCheckNode(self, node):
        """Remove None checks from expressions that definitely do not
        carry a None value.
        """
        self.visitchildren(node)
        if not node.arg.may_be_none():
            return node.arg
        return node

    def visit_LoopNode(self, node):
        """Remember when we enter a loop as some expensive optimisations might still be worth it there.
        """
        old_val = self.in_loop
        self.in_loop = True
        self.visitchildren(node)
        self.in_loop = old_val
        return node

    def visit_IfStatNode(self, node):
        """Assign 'unlikely' branch hints to if-clauses that only raise exceptions.
        """
        self.visitchildren(node)
        last_non_unlikely_clause = None
        for i, if_clause in enumerate(node.if_clauses):
            self._set_ifclause_branch_hint(if_clause, if_clause.body)
            if not if_clause.branch_hint:
                last_non_unlikely_clause = if_clause
        if node.else_clause and last_non_unlikely_clause:
            # If the 'else' clause is 'unlikely', then set the preceding 'if' clause to 'likely' to reflect that.
            self._set_ifclause_branch_hint(last_non_unlikely_clause, node.else_clause, inverse=True)
        return node

    def _set_ifclause_branch_hint(self, clause, statements_node, inverse=False):
        """Inject a branch hint if the if-clause unconditionally leads to a 'raise' statement.
        """
        if not statements_node.is_terminator:
            return
        # Allow simple statements, but no conditions, loops, etc.
        non_branch_nodes = (
            Nodes.ExprStatNode,
            Nodes.AssignmentNode,
            Nodes.AssertStatNode,
            Nodes.DelStatNode,
            Nodes.GlobalNode,
            Nodes.NonlocalNode,
        )
        statements = [statements_node]
        for next_node_pos, node in enumerate(statements, 1):
            if isinstance(node, Nodes.GILStatNode):
                statements.insert(next_node_pos, node.body)
                continue
            if isinstance(node, Nodes.StatListNode):
                statements[next_node_pos:next_node_pos] = node.stats
                continue
            if not isinstance(node, non_branch_nodes):
                if next_node_pos == len(statements) and isinstance(node, (Nodes.RaiseStatNode, Nodes.ReraiseStatNode)):
                    # Anything that unconditionally raises exceptions at the end should be considered unlikely.
                    clause.branch_hint = 'likely' if inverse else 'unlikely'
                break


class ConsolidateOverflowCheck(Visitor.CythonTransform):
    """
    This class facilitates the sharing of overflow checking among all nodes
    of a nested arithmetic expression.  For example, given the expression
    a*b + c, where a, b, and x are all possibly overflowing ints, the entire
    sequence will be evaluated and the overflow bit checked only at the end.
    """
    overflow_bit_node = None

    def visit_Node(self, node):
        if self.overflow_bit_node is not None:
            saved = self.overflow_bit_node
            self.overflow_bit_node = None
            self.visitchildren(node)
            self.overflow_bit_node = saved
        else:
            self.visitchildren(node)
        return node

    def visit_NumBinopNode(self, node):
        if node.overflow_check and node.overflow_fold:
            top_level_overflow = self.overflow_bit_node is None
            if top_level_overflow:
                self.overflow_bit_node = node
            else:
                node.overflow_bit_node = self.overflow_bit_node
                node.overflow_check = False
            self.visitchildren(node)
            if top_level_overflow:
                self.overflow_bit_node = None
        else:
            self.visitchildren(node)
        return node