public void Test01b()
{
string[][] successors = new string[][]
{
/* 0 */ new string[] { }, // 0 has no successors
/* 1 */ new string[] { },
/* 2 */ new string[] { "3" },
/* 3 */ new string[] { "1" },
/* 4 */ new string[] { "0", "1" },
/* 5 */ new string[] { "0", "2" },
};
Func <string, IEnumerable <string> > succF = x => successors[int.Parse(x)];
var sorted = TopologicalSort.IterativeSort <string>(new[] { "4", "5" }, i => succF(i).ToImmutableArray());
AssertTopologicallySorted(sorted, succF, "Test01");
Assert.Equal(6, sorted.Length);
AssertEx.Equal(new[] { "4", "5", "2", "3", "1", "0" }, sorted);
}
public void Test01()
{
int[][] successors = new int[][]
{
/* 0 */ new int[] { }, // 0 has no successors
/* 1 */ new int[] { },
/* 2 */ new int[] { 3 },
/* 3 */ new int[] { 1 },
/* 4 */ new int[] { 0, 1, 0, 1 }, // tolerate duplicate edges
/* 5 */ new int[] { 0, 2 },
};
Func <int, IEnumerable <int> > succF = x => successors[x];
var sorted = TopologicalSort.IterativeSort <int>(new[] { 4, 5 }, i => succF(i).ToImmutableArray());
AssertTopologicallySorted(sorted, succF, "Test01");
Assert.Equal(6, sorted.Length);
AssertEx.Equal(new[] { 4, 5, 2, 3, 1, 0 }, sorted);
}
public void TestCycle()
{
int[][] successors = new int[][]
{
/* 0 */ new int[] { },
/* 1 */ new int[] { 2, 4 },
/* 2 */ new int[] { },
/* 3 */ new int[] { 2, 5 },
/* 4 */ new int[] { 2, 3 },
/* 5 */ new int[] { 2, 1 },
/* 6 */ new int[] { 2, 7 },
/* 7 */ new int[] { }
};
// 1 -> 4 -> 3 -> 5 -> 1
Assert.Throws <ArgumentException>(() =>
{
var sorted = TopologicalSort.IterativeSort <int>(new[] { 1 }, x => successors[x].ToImmutableArray());
});
}
public void Test02()
{
int[][] successors = new int[][]
{
/* 0 */ new int[] { },
/* 1 */ new int[] { 2, 4 },
/* 2 */ new int[] { },
/* 3 */ new int[] { 2, 5 },
/* 4 */ new int[] { 2, 3 },
/* 5 */ new int[] { 2, },
/* 6 */ new int[] { 2, 7 },
/* 7 */ new int[] { }
};
Func <int, IEnumerable <int> > succF = x => successors[x];
var sorted = TopologicalSort.IterativeSort <int>(new[] { 1, 6 }, i => succF(i).ToImmutableArray());
AssertTopologicallySorted(sorted, succF, "Test02");
Assert.Equal(7, sorted.Length);
AssertEx.Equal(new[] { 1, 4, 3, 5, 6, 7, 2 }, sorted);
}
/// <summary>
/// Build the decision dag, giving an error if some cases are subsumed and a warning if the switch expression is not exhaustive.
/// </summary>
/// <param name="node"></param>
/// <param name="boundInputExpression"></param>
/// <param name="switchArms"></param>
/// <param name="decisionDag"></param>
/// <param name="diagnostics"></param>
/// <returns>true if there was a non-exhaustive warning reported</returns>
private bool CheckSwitchExpressionExhaustive(
SwitchExpressionSyntax node,
BoundExpression boundInputExpression,
ImmutableArray <BoundSwitchExpressionArm> switchArms,
out BoundDecisionDag decisionDag,
out LabelSymbol defaultLabel,
DiagnosticBag diagnostics)
{
defaultLabel = new GeneratedLabelSymbol("default");
decisionDag = DecisionDagBuilder.CreateDecisionDagForSwitchExpression(this.Compilation, node, boundInputExpression, switchArms, defaultLabel, diagnostics);
var reachableLabels = decisionDag.ReachableLabels;
foreach (BoundSwitchExpressionArm arm in switchArms)
{
if (!reachableLabels.Contains(arm.Label))
{
diagnostics.Add(ErrorCode.ERR_SwitchArmSubsumed, arm.Pattern.Syntax.Location);
}
}
if (!reachableLabels.Contains(defaultLabel))
{
// switch expression is exhaustive; no default label needed.
defaultLabel = null;
return(false);
}
// We only report exhaustive warnings when the default label is reachable through some series of
// tests that do not include a test in which the value is known to be null. Handling paths with
// nulls is the job of the nullable walker.
foreach (var n in TopologicalSort.IterativeSort <BoundDecisionDagNode>(new[] { decisionDag.RootNode }, nonNullSuccessors))
{
if (n is BoundLeafDecisionDagNode leaf && leaf.Label == defaultLabel)
{
diagnostics.Add(ErrorCode.WRN_SwitchExpressionNotExhaustive, node.SwitchKeyword.GetLocation());
return(true);
}
}
return(false);
ImmutableArray <BoundDecisionDagNode> nonNullSuccessors(BoundDecisionDagNode n)
{
switch (n)
{
case BoundTestDecisionDagNode p:
switch (p.Test)
{
case BoundDagNonNullTest t: // checks that the input is not null
return(ImmutableArray.Create(p.WhenTrue));
case BoundDagExplicitNullTest t: // checks that the input is null
return(ImmutableArray.Create(p.WhenFalse));
default:
return(BoundDecisionDag.Successors(n));
}
default:
return(BoundDecisionDag.Successors(n));
}
}
}
public void TestRandom(int seed)
{
int numberOfNodes = 100;
Random random = new Random(seed);
// First, we produce a list of integers representing a possible (reversed)
// topological sort of the graph we will construct
var possibleSort = Enumerable.Range(0, numberOfNodes).ToArray();
shuffle(possibleSort);
// Then we produce a set of edges that is consistent with that possible topological sort
int[][] successors = new int[numberOfNodes][];
for (int i = numberOfNodes - 1; i >= 0; i--)
{
successors[possibleSort[i]] = randomSubset((int)Math.Sqrt(i), i);
}
// Perform a topological sort and check it.
Func <int, IEnumerable <int> > succF = x => successors[x];
var sorted = TopologicalSort.IterativeSort <int>(Enumerable.Range(0, numberOfNodes).ToArray(), i => succF(i).ToImmutableArray());
Assert.Equal(numberOfNodes, sorted.Length);
AssertTopologicallySorted(sorted, succF, $"TestRandom(seed: {seed})");
// Now we modify the graph to add an edge from the last node to the first node, which
// probably induces a cycle. Since the graph is random, it is possible that this does
// not induce a cycle. However, by the construction of the graph it is almost certain
// that a cycle is induced. Nevertheless, to avoid flakiness in the tests, we do not
// test with actual random graphs, but with graphs based on pseudo-random sequences using
// random seeds hardcoded into the tests. That way we are testing on the same graphs each
// time.
successors[possibleSort[0]] = successors[possibleSort[0]].Concat(new int[] { possibleSort[numberOfNodes - 1] }).ToArray();
Assert.Throws <ArgumentException>(() =>
{
TopologicalSort.IterativeSort <int>(Enumerable.Range(0, numberOfNodes).ToArray(), i => succF(i).ToImmutableArray());
});
// where
void shuffle(int[] data)
{
int length = data.Length;
for (int t = 0; t < length - 1; t++)
{
int r = random.Next(t, length);
if (t != r)
{
var tmp = data[t];
data[t] = data[r];
data[r] = tmp;
}
}
}
int[] randomSubset(int count, int limit)
{
// We don't worry about duplicate values. That's all part of the test,
// as the topological sort should tolerate duplicate edges.
var result = new int[count];
for (int i = 0; i < count; i++)
{
result[i] = possibleSort[random.Next(0, limit)];
}
return(result);
}
}