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numba / tests / test_flow_control.py
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from __future__ import print_function

import itertools

import numba.unittest_support as unittest
from numba.controlflow import CFGraph, Loop
from numba.compiler import compile_isolated, Flags
from numba import types
from .support import TestCase, tag

enable_pyobj_flags = Flags()
enable_pyobj_flags.set("enable_pyobject")

forceobj_flags = Flags()
forceobj_flags.set("force_pyobject")

no_pyobj_flags = Flags()
no_pyobj_flags.set("nrt")


def for_loop_usecase1(x, y):
    result = 0
    for i in range(x):
        result += i
    return result

def for_loop_usecase2(x, y):
    result = 0
    for i, j in enumerate(range(x, y, -1)):
        result += i * j
    return result

def for_loop_usecase3(x, y):
    result = 0
    lst = [x, y]
    for i in lst:
        result += i
    return result

def for_loop_usecase4(x, y):
    result = 0
    for i in range(10):
        for j in range(10):
            result += 1
    return result

def for_loop_usecase5(x, y):
    result = 0
    for i in range(x):
        result += 1
        if result > y:
            break
    return result

def for_loop_usecase6(x, y):
    result = 0
    for i in range(x):
        if i > y:
            continue
        result += 1
    return result

def for_loop_usecase7(x, y):
    for i in range(x):
        x = 0
        for j in range(x):
            return 1
        else:
            pass
    return 0

def for_loop_usecase8(x, y):
    result = 0
    for i in range(x, y, y - x + 1):
        result += 1
    return result

def for_loop_usecase9(x, y):
    z = 0
    for i in range(x):
        x = 0
        for j in range(x):
            if j == x / 2:
                z += j
                break
        else:
            z += y

    return z

def for_loop_usecase10(x, y):
    for i in range(x):
        if i == y:
            z = y
            break
    else:
        z = i * 2
    return z


def while_loop_usecase1(x, y):
    result = 0
    i = 0
    while i < x:
        result += i
        i += 1
    return result

def while_loop_usecase2(x, y):
    result = 0
    while result != x:
        result += 1
    return result

def while_loop_usecase3(x, y):
    result = 0
    i = 0
    j = 0
    while i < x:
        while j < y:
            result += i + j
            i += 1
            j += 1
    return result

def while_loop_usecase4(x, y):
    result = 0
    while True:
        result += 1
        if result > x:
            break
    return result

def while_loop_usecase5(x, y):
    result = 0
    while result < x:
        if result > y:
            result += 2
            continue
        result += 1
    return result

def ifelse_usecase1(x, y):
    if x > 0:
        pass
    elif y > 0:
        pass
    else:
        pass
    return True

def ifelse_usecase2(x, y):
    if x > y:
        return 1
    elif x == 0 or y == 0:
        return 2
    else:
        return 3

def ifelse_usecase3(x, y):
    if x > 0:
        if y > 0:
            return 1
        elif y < 0:
            return 1
        else:
            return 0
    elif x < 0:
        return 1
    else:
        return 0

def ifelse_usecase4(x, y):
    if x == y:
        return 1

def ternary_ifelse_usecase1(x, y):
    return True if x > y else False


class TestFlowControl(TestCase):

    def run_test(self, pyfunc, x_operands, y_operands,
                 flags=enable_pyobj_flags):
        cr = compile_isolated(pyfunc, (types.intp, types.intp), flags=flags)
        cfunc = cr.entry_point
        for x, y in itertools.product(x_operands, y_operands):
            pyerr = None
            cerr = None
            try:
                pyres = pyfunc(x, y)
            except Exception as e:
                pyerr = e

            try:
                cres = cfunc(x, y)
            except Exception as e:
                if pyerr is None:
                    raise
                cerr = e
                self.assertEqual(type(pyerr), type(cerr))
            else:
                if pyerr is not None:
                    self.fail("Invalid for pure-python but numba works\n" +
                              pyerr)
                self.assertEqual(pyres, cres)

    def test_for_loop1(self, flags=enable_pyobj_flags):
        self.run_test(for_loop_usecase1, [-10, 0, 10], [0], flags=flags)

    @tag('important')
    def test_for_loop1_npm(self):
        self.test_for_loop1(flags=no_pyobj_flags)

    def test_for_loop2(self, flags=enable_pyobj_flags):
        self.run_test(for_loop_usecase2, [-10, 0, 10], [-10, 0, 10],
                      flags=flags)

    @tag('important')
    def test_for_loop2_npm(self):
        self.test_for_loop2(flags=no_pyobj_flags)

    def test_for_loop3(self, flags=enable_pyobj_flags):
        """
        List requires pyobject
        """
        self.run_test(for_loop_usecase3, [1], [2],
                      flags=flags)

    def test_for_loop3_npm(self):
        self.test_for_loop3(flags=no_pyobj_flags)

    def test_for_loop4(self, flags=enable_pyobj_flags):
        self.run_test(for_loop_usecase4, [10], [10], flags=flags)

    @tag('important')
    def test_for_loop4_npm(self):
        self.test_for_loop4(flags=no_pyobj_flags)

    def test_for_loop5(self, flags=enable_pyobj_flags):
        self.run_test(for_loop_usecase5, [100], [50], flags=flags)

    @tag('important')
    def test_for_loop5_npm(self):
        self.test_for_loop5(flags=no_pyobj_flags)

    def test_for_loop6(self, flags=enable_pyobj_flags):
        self.run_test(for_loop_usecase6, [100], [50], flags=flags)

    @tag('important')
    def test_for_loop6_npm(self):
        self.test_for_loop6(flags=no_pyobj_flags)

    def test_for_loop7(self, flags=enable_pyobj_flags):
        self.run_test(for_loop_usecase7, [5], [0], flags=flags)

    @tag('important')
    def test_for_loop7_npm(self):
        self.test_for_loop7(flags=no_pyobj_flags)

    def test_for_loop8(self, flags=enable_pyobj_flags):
        self.run_test(for_loop_usecase8, [0, 1], [0, 2, 10], flags=flags)

    @tag('important')
    def test_for_loop8_npm(self):
        self.test_for_loop8(flags=no_pyobj_flags)

    def test_for_loop9(self, flags=enable_pyobj_flags):
        self.run_test(for_loop_usecase9, [0, 1], [0, 2, 10], flags=flags)

    @tag('important')
    def test_for_loop9_npm(self):
        self.test_for_loop9(flags=no_pyobj_flags)

    def test_for_loop10(self, flags=enable_pyobj_flags):
        self.run_test(for_loop_usecase10, [5], [2, 7], flags=flags)

    @tag('important')
    def test_for_loop10_npm(self):
        self.test_for_loop10(flags=no_pyobj_flags)

    def test_while_loop1(self, flags=enable_pyobj_flags):
        self.run_test(while_loop_usecase1, [10], [0], flags=flags)

    def test_while_loop1_npm(self):
        self.test_while_loop1(flags=no_pyobj_flags)

    def test_while_loop2(self, flags=enable_pyobj_flags):
        self.run_test(while_loop_usecase2, [10], [0], flags=flags)

    def test_while_loop2_npm(self):
        self.test_while_loop2(flags=no_pyobj_flags)

    def test_while_loop3(self, flags=enable_pyobj_flags):
        self.run_test(while_loop_usecase3, [10], [10], flags=flags)

    @tag('important')
    def test_while_loop3_npm(self):
        self.test_while_loop3(flags=no_pyobj_flags)

    def test_while_loop4(self, flags=enable_pyobj_flags):
        self.run_test(while_loop_usecase4, [10], [0], flags=flags)

    @tag('important')
    def test_while_loop4_npm(self):
        self.test_while_loop4(flags=no_pyobj_flags)

    def test_while_loop5(self, flags=enable_pyobj_flags):
        self.run_test(while_loop_usecase5, [0, 5, 10], [0, 5, 10], flags=flags)

    @tag('important')
    def test_while_loop5_npm(self):
        self.test_while_loop5(flags=no_pyobj_flags)

    def test_ifelse1(self, flags=enable_pyobj_flags):
        self.run_test(ifelse_usecase1, [-1, 0, 1], [-1, 0, 1], flags=flags)

    def test_ifelse1_npm(self):
        self.test_ifelse1(flags=no_pyobj_flags)

    def test_ifelse2(self, flags=enable_pyobj_flags):
        self.run_test(ifelse_usecase2, [-1, 0, 1], [-1, 0, 1], flags=flags)

    @tag('important')
    def test_ifelse2_npm(self):
        self.test_ifelse2(flags=no_pyobj_flags)

    def test_ifelse3(self, flags=enable_pyobj_flags):
        self.run_test(ifelse_usecase3, [-1, 0, 1], [-1, 0, 1], flags=flags)

    @tag('important')
    def test_ifelse3_npm(self):
        self.test_ifelse3(flags=no_pyobj_flags)

    def test_ifelse4(self, flags=enable_pyobj_flags):
        self.run_test(ifelse_usecase4, [-1, 0, 1], [-1, 0, 1], flags=flags)

    @tag('important')
    def test_ifelse4_npm(self):
        self.test_ifelse4(flags=no_pyobj_flags)

    def test_ternary_ifelse1(self, flags=enable_pyobj_flags):
        self.run_test(ternary_ifelse_usecase1, [-1, 0, 1], [-1, 0, 1],
                      flags=flags)

    @tag('important')
    def test_ternary_ifelse1_npm(self):
        self.test_ternary_ifelse1(flags=no_pyobj_flags)


class TestCFGraph(TestCase):
    """
    Test the numba.controlflow.CFGraph class.
    """

    def from_adj_list(self, d, entry_point=0):
        """
        Build a CFGraph class from a dict of adjacency lists.
        """
        g = CFGraph()
        # Need to add all nodes before adding edges
        for node in d:
            g.add_node(node)
        for node, dests in d.items():
            for dest in dests:
                g.add_edge(node, dest)
        return g

    def loopless1(self):
        """
        A simple CFG corresponding to the following code structure:

            c = (... if ... else ...) + ...
            return b + c
        """
        g = self.from_adj_list({0: [18, 12], 12: [21], 18: [21], 21: []})
        g.set_entry_point(0)
        g.process()
        return g

    def loopless1_dead_nodes(self):
        """
        Same as loopless1(), but with added dead blocks (some of them
        in a loop).
        """
        g = self.from_adj_list(
            {0: [18, 12],
             12: [21],
             18: [21],
             21: [],
             91: [12, 0],
             92: [91, 93],
             93: [92],
             94: [],
             })
        g.set_entry_point(0)
        g.process()
        return g

    def loopless2(self):
        """
        A loopless CFG corresponding to the following code structure:

            c = (... if ... else ...) + ...
            if c:
                return ...
            else:
                return ...

        Note there are two exit points, and the entry point has been
        changed to a non-zero value.
        """
        g = self.from_adj_list(
            {99: [18, 12], 12: [21], 18: [21], 21: [42, 34], 34: [], 42: []})
        g.set_entry_point(99)
        g.process()
        return g

    def multiple_loops(self):
        """
        A CFG with multiple nested loops:

            for y in b:
                for x in a:
                    # This loop has two back edges
                    if b:
                        continue
                    else:
                        continue
            for z in c:
                if z:
                    return ...
        """
        g = self.from_adj_list(
            {0: [7],
             7: [10, 60],
             10: [13],
             13: [20],
             20: [56, 23],
             23: [32, 44],
             32: [20],
             44: [20],
             56: [57],
             57: [7],
             60: [61],
             61: [68],
             68: [87, 71],
             71: [80, 68],
             80: [],
             87: [88],
             88: []}
            )
        g.set_entry_point(0)
        g.process()
        return g

    def multiple_exits(self):
        """
        A CFG with three loop exits, one of which is also a function
        exit point, and another function exit point:

            for x in a:
                if a:
                    return b
                elif b:
                    break
            return c
        """
        g = self.from_adj_list(
            {0: [7],
             7: [10, 36],
             10: [19, 23],
             19: [],
             23: [29, 7],
             29: [37],
             36: [37],
             37: []
             })
        g.set_entry_point(0)
        g.process()
        return g

    def infinite_loop1(self):
        """
        A CFG with a infinite loop and an alternate exit point:

            if c:
                return
            while True:
                if a:
                    ...
                else:
                    ...
        """
        g = self.from_adj_list(
            {0: [10, 6], 6: [], 10: [13], 13: [26, 19], 19: [13], 26: [13]})
        g.set_entry_point(0)
        g.process()
        return g

    def infinite_loop2(self):
        """
        A CFG with no exit point at all:

            while True:
                if a:
                    ...
                else:
                    ...
        """
        g = self.from_adj_list({0: [3], 3: [16, 9], 9: [3], 16: [3]})
        g.set_entry_point(0)
        g.process()
        return g

    def test_simple_properties(self):
        g = self.loopless1()
        self.assertEqual(sorted(g.successors(0)), [(12, None), (18, None)])
        self.assertEqual(sorted(g.successors(21)), [])
        self.assertEqual(sorted(g.predecessors(0)), [])
        self.assertEqual(sorted(g.predecessors(21)), [(12, None), (18, None)])

    def test_exit_points(self):
        g = self.loopless1()
        self.assertEqual(sorted(g.exit_points()), [21])
        g = self.loopless1_dead_nodes()
        self.assertEqual(sorted(g.exit_points()), [21])
        g = self.loopless2()
        self.assertEqual(sorted(g.exit_points()), [34, 42])
        g = self.multiple_loops()
        self.assertEqual(sorted(g.exit_points()), [80, 88])
        g = self.infinite_loop1()
        self.assertEqual(sorted(g.exit_points()), [6])
        g = self.infinite_loop2()
        self.assertEqual(sorted(g.exit_points()), [])
        g = self.multiple_exits()
        self.assertEqual(sorted(g.exit_points()), [19, 37])

    def test_dead_nodes(self):
        g = self.loopless1()
        self.assertEqual(len(g.dead_nodes()), 0)
        self.assertEqual(sorted(g.nodes()),
                         [0, 12, 18, 21])
        g = self.loopless2()
        self.assertEqual(len(g.dead_nodes()), 0)
        self.assertEqual(sorted(g.nodes()),
                         [12, 18, 21, 34, 42, 99])
        g = self.multiple_loops()
        self.assertEqual(len(g.dead_nodes()), 0)
        g = self.infinite_loop1()
        self.assertEqual(len(g.dead_nodes()), 0)
        g = self.multiple_exits()
        self.assertEqual(len(g.dead_nodes()), 0)
        # Only this example has dead nodes
        g = self.loopless1_dead_nodes()
        self.assertEqual(sorted(g.dead_nodes()),
                         [91, 92, 93, 94])
        self.assertEqual(sorted(g.nodes()),
                         [0, 12, 18, 21])

    def test_descendents(self):
        g = self.loopless2()
        d = g.descendents(34)
        self.assertEqual(sorted(d), [])
        d = g.descendents(42)
        self.assertEqual(sorted(d), [])
        d = g.descendents(21)
        self.assertEqual(sorted(d), [34, 42])
        d = g.descendents(99)
        self.assertEqual(sorted(d), [12, 18, 21, 34, 42])
        g = self.infinite_loop1()
        d = g.descendents(26)
        self.assertEqual(sorted(d), [])
        d = g.descendents(19)
        self.assertEqual(sorted(d), [])
        d = g.descendents(13)
        self.assertEqual(sorted(d), [19, 26])
        d = g.descendents(10)
        self.assertEqual(sorted(d), [13, 19, 26])
        d = g.descendents(6)
        self.assertEqual(sorted(d), [])
        d = g.descendents(0)
        self.assertEqual(sorted(d), [6, 10, 13, 19, 26])

    def test_topo_order(self):
        g = self.loopless1()
        self.assertIn(g.topo_order(),
                      ([0, 12, 18, 21], [0, 18, 12, 21]))
        g = self.loopless2()
        self.assertIn(g.topo_order(),
                      ([99, 18, 12, 21, 34, 42], [99, 12, 18, 21, 34, 42]))
        g = self.infinite_loop2()
        self.assertIn(g.topo_order(),
                      ([0, 3, 9, 16], [0, 3, 16, 9]))
        g = self.infinite_loop1()
        self.assertIn(g.topo_order(),
                      ([0, 6, 10, 13, 19, 26], [0, 6, 10, 13, 26, 19],
                       [0, 10, 13, 19, 26, 6], [0, 10, 13, 26, 19, 6]))

    def test_topo_sort(self):
        def check_topo_sort(nodes, expected):
            self.assertIn(list(g.topo_sort(nodes)), expected)
            self.assertIn(list(g.topo_sort(nodes[::-1])), expected)
            self.assertIn(list(g.topo_sort(nodes, reverse=True))[::-1],
                          expected)
            self.assertIn(list(g.topo_sort(nodes[::-1], reverse=True))[::-1],
                          expected)
            self.random.shuffle(nodes)
            self.assertIn(list(g.topo_sort(nodes)), expected)
            self.assertIn(list(g.topo_sort(nodes, reverse=True))[::-1],
                          expected)

        g = self.loopless2()
        check_topo_sort([21, 99, 12, 34], ([99, 12, 21, 34],))
        # NOTE: topo_sort() is not stable
        check_topo_sort([18, 12, 42, 99],
                        ([99, 12, 18, 42], [99, 18, 12, 42]))
        g = self.multiple_exits()
        check_topo_sort([19, 10, 7, 36],
                        ([7, 10, 19, 36], [7, 10, 36, 19], [7, 36, 10, 19]))

    def check_dominators(self, got, expected):
        self.assertEqual(sorted(got), sorted(expected))
        for node in sorted(got):
            self.assertEqual(sorted(got[node]), sorted(expected[node]),
                             "mismatch for %r" % (node,))

    def test_dominators_loopless(self):
        def eq_(d, l):
            self.assertEqual(sorted(doms[d]), l)
        for g in [self.loopless1(), self.loopless1_dead_nodes()]:
            doms = g.dominators()
            eq_(0, [0])
            eq_(12, [0, 12])
            eq_(18, [0, 18])
            eq_(21, [0, 21])
        g = self.loopless2()
        doms = g.dominators()
        eq_(99, [99])
        eq_(12, [12, 99])
        eq_(18, [18, 99])
        eq_(21, [21, 99])
        eq_(34, [21, 34, 99])
        eq_(42, [21, 42, 99])

    def test_dominators_loops(self):
        g = self.multiple_exits()
        doms = g.dominators()
        self.check_dominators(doms,
            {0: [0],
             7: [0, 7],
             10: [0, 7, 10],
             19: [0, 7, 10, 19],
             23: [0, 7, 10, 23],
             29: [0, 7, 10, 23, 29],
             36: [0, 7, 36],
             37: [0, 7, 37],
             })
        g = self.multiple_loops()
        doms = g.dominators()
        self.check_dominators(doms,
            {0: [0],
             7: [0, 7],
             10: [0, 10, 7],
             13: [0, 10, 13, 7],
             20: [0, 10, 20, 13, 7],
             23: [0, 20, 23, 7, 10, 13],
             32: [32, 0, 20, 23, 7, 10, 13],
             44: [0, 20, 23, 7, 10, 44, 13],
             56: [0, 20, 7, 56, 10, 13],
             57: [0, 20, 7, 56, 57, 10, 13],
             60: [0, 60, 7],
             61: [0, 60, 61, 7],
             68: [0, 68, 60, 61, 7],
             71: [0, 68, 71, 7, 60, 61],
             80: [80, 0, 68, 71, 7, 60, 61],
             87: [0, 68, 87, 7, 60, 61],
             88: [0, 68, 87, 88, 7, 60, 61]
             })
        g = self.infinite_loop1()
        doms = g.dominators()
        self.check_dominators(doms,
            {0: [0],
             6: [0, 6],
             10: [0, 10],
             13: [0, 10, 13],
             19: [0, 10, 19, 13],
             26: [0, 10, 13, 26],
             })

    def test_post_dominators_loopless(self):
        def eq_(d, l):
            self.assertEqual(sorted(doms[d]), l)
        for g in [self.loopless1(), self.loopless1_dead_nodes()]:
            doms = g.post_dominators()
            eq_(0, [0, 21])
            eq_(12, [12, 21])
            eq_(18, [18, 21])
            eq_(21, [21])
        g = self.loopless2()
        doms = g.post_dominators()
        eq_(34, [34])
        eq_(42, [42])
        eq_(21, [21])
        eq_(18, [18, 21])
        eq_(12, [12, 21])
        eq_(99, [21, 99])

    def test_post_dominators_loops(self):
        g = self.multiple_exits()
        doms = g.post_dominators()
        self.check_dominators(doms,
            {0: [0, 7],
             7: [7],
             10: [10],
             19: [19],
             23: [23],
             29: [29, 37],
             36: [36, 37],
             37: [37],
            })
        g = self.multiple_loops()
        doms = g.post_dominators()
        self.check_dominators(doms,
            {0: [0, 60, 68, 61, 7],
             7: [60, 68, 61, 7],
             10: [68, 7, 10, 13, 20, 56, 57, 60, 61],
             13: [68, 7, 13, 20, 56, 57, 60, 61],
             20: [20, 68, 7, 56, 57, 60, 61],
             23: [68, 7, 20, 23, 56, 57, 60, 61],
             32: [32, 68, 7, 20, 56, 57, 60, 61],
             44: [68, 7, 44, 20, 56, 57, 60, 61],
             56: [68, 7, 56, 57, 60, 61],
             57: [57, 60, 68, 61, 7],
             60: [60, 68, 61],
             61: [68, 61],
             68: [68],
             71: [71],
             80: [80],
             87: [88, 87],
             88: [88]
             })

    def test_post_dominators_infinite_loops(self):
        # Post-dominators with infinite loops need special care
        # (the ordinary algorithm won't work).
        g = self.infinite_loop1()
        doms = g.post_dominators()
        self.check_dominators(doms,
            {0: [0],
             6: [6],
             10: [10, 13],
             13: [13],
             19: [19],
             26: [26],
             })
        g = self.infinite_loop2()
        doms = g.post_dominators()
        self.check_dominators(doms,
            {0: [0, 3],
             3: [3],
             9: [9],
             16: [16],
             })

    def test_backbone_loopless(self):
        for g in [self.loopless1(), self.loopless1_dead_nodes()]:
            self.assertEqual(sorted(g.backbone()), [0, 21])
        g = self.loopless2()
        self.assertEqual(sorted(g.backbone()), [21, 99])

    def test_backbone_loops(self):
        g = self.multiple_loops()
        self.assertEqual(sorted(g.backbone()), [0, 7, 60, 61, 68])
        g = self.infinite_loop1()
        self.assertEqual(sorted(g.backbone()), [0])
        g = self.infinite_loop2()
        self.assertEqual(sorted(g.backbone()), [0, 3])

    def test_loops(self):
        for g in [self.loopless1(), self.loopless1_dead_nodes(),
                  self.loopless2()]:
            self.assertEqual(len(g.loops()), 0)

        g = self.multiple_loops()
        # Loop headers
        self.assertEqual(sorted(g.loops()), [7, 20, 68])
        outer1 = g.loops()[7]
        inner1 = g.loops()[20]
        outer2 = g.loops()[68]
        self.assertEqual(outer1.header, 7)
        self.assertEqual(sorted(outer1.entries), [0])
        self.assertEqual(sorted(outer1.exits), [60])
        self.assertEqual(sorted(outer1.body),
                         [7, 10, 13, 20, 23, 32, 44, 56, 57])
        self.assertEqual(inner1.header, 20)
        self.assertEqual(sorted(inner1.entries), [13])
        self.assertEqual(sorted(inner1.exits), [56])
        self.assertEqual(sorted(inner1.body), [20, 23, 32, 44])
        self.assertEqual(outer2.header, 68)
        self.assertEqual(sorted(outer2.entries), [61])
        self.assertEqual(sorted(outer2.exits), [80, 87])
        self.assertEqual(sorted(outer2.body), [68, 71])
        for node in [0, 60, 61, 80, 87, 88]:
            self.assertEqual(g.in_loops(node), [])
        for node in [7, 10, 13, 56, 57]:
            self.assertEqual(g.in_loops(node), [outer1])
        for node in [20, 23, 32, 44]:
            self.assertEqual(g.in_loops(node), [inner1, outer1])
        for node in [68, 71]:
            self.assertEqual(g.in_loops(node), [outer2])

        g = self.infinite_loop1()
        # Loop headers
        self.assertEqual(sorted(g.loops()), [13])
        loop = g.loops()[13]
        self.assertEqual(loop.header, 13)
        self.assertEqual(sorted(loop.entries), [10])
        self.assertEqual(sorted(loop.exits), [])
        self.assertEqual(sorted(loop.body), [13, 19, 26])
        for node in [0, 6, 10]:
            self.assertEqual(g.in_loops(node), [])
        for node in [13, 19, 26]:
            self.assertEqual(g.in_loops(node), [loop])

        g = self.infinite_loop2()
        # Loop headers
        self.assertEqual(sorted(g.loops()), [3])
        loop = g.loops()[3]
        self.assertEqual(loop.header, 3)
        self.assertEqual(sorted(loop.entries), [0])
        self.assertEqual(sorted(loop.exits), [])
        self.assertEqual(sorted(loop.body), [3, 9, 16])
        for node in [0]:
            self.assertEqual(g.in_loops(node), [])
        for node in [3, 9, 16]:
            self.assertEqual(g.in_loops(node), [loop])

        g = self.multiple_exits()
        # Loop headers
        self.assertEqual(sorted(g.loops()), [7])
        loop = g.loops()[7]
        self.assertEqual(loop.header, 7)
        self.assertEqual(sorted(loop.entries), [0])
        self.assertEqual(sorted(loop.exits), [19, 29, 36])
        self.assertEqual(sorted(loop.body), [7, 10, 23])
        for node in [0, 19, 29, 36]:
            self.assertEqual(g.in_loops(node), [])
        for node in [7, 10, 23]:
            self.assertEqual(g.in_loops(node), [loop])


if __name__ == '__main__':
    unittest.main()