Add a fix for mutually-recursive infinite things

So now it will solve correctly for
  x = y + 1
  y = max(0, x + 1)

I also added in tests for this (and a slightly different form with `x`
going through another variable, `z`, for indirection).

The tests will also stop now after five seconds of execution. If they
can't be solved in five seconds then they're considered a failure.

6 files changed, 29 insertions, 5 deletions

diff --git a/impl/VariableAssignment.hpp b/impl/VariableAssignment.hpp
index 21226ac..19403a8 100644
--- a/impl/VariableAssignment.hpp
+++ b/impl/VariableAssignment.hpp
@@ -55,15 +55,26 @@ struct DynamicVariableAssignment : public VariableAssignment<Domain> {
     return _values[var];
   }
 
-  void invalidate(const Variable<Domain>& x) {
+  void invalidate(const Variable<Domain>& x, bool also_solve=true) {
     log::fixpoint << indent() << "Invalidating " << x << std::endl;
     if (_stable.contains(x)) {
       _stable.remove(x);
       _values[x] = unknown(infinity<Domain>());
 
-      solve(x);
-      if (_values[x] == infinity<Domain>())
-        _values[x] = _values[x].asKnown();
+      IdSet<Variable<Domain> > infl = _influence[x];
+      for (typename IdSet<Variable<Domain> >::iterator
+             it = infl.begin(),
+             ei = infl.end();
+           it != ei;
+           ++it) {
+        invalidate(_system.variable(*it), false);
+      }
+      
+      if (also_solve) {
+        solve(x);
+        if (_values[x] == infinity<Domain>())
+          _values[x] = _values[x].asKnown();
+      }
     }
   }
 
diff --git a/impl/test/12.eqns b/impl/test/12.eqns
new file mode 100644
index 0000000..91be47b
--- /dev/null
+++ b/impl/test/12.eqns
@@ -0,0 +1,2 @@
+x = y + 1
+y = max(0, x + 1)
diff --git a/impl/test/12.soln b/impl/test/12.soln
new file mode 100644
index 0000000..cdfcb1f
--- /dev/null
+++ b/impl/test/12.soln
@@ -0,0 +1,2 @@
+x = inf
+y = inf
diff --git a/impl/test/13.eqns b/impl/test/13.eqns
new file mode 100644
index 0000000..ce399ef
--- /dev/null
+++ b/impl/test/13.eqns
@@ -0,0 +1,3 @@
+x = y + 1
+y = max(0, z)
+z = x
diff --git a/impl/test/13.soln b/impl/test/13.soln
new file mode 100644
index 0000000..ff37347
--- /dev/null
+++ b/impl/test/13.soln
@@ -0,0 +1,3 @@
+x = inf
+y = inf
+z = inf
diff --git a/impl/test/run b/impl/test/run
index 0c1886d..826bbde 100644
--- a/impl/test/run
+++ b/impl/test/run
@@ -7,7 +7,10 @@ FAILED=0
 echo "Testing binary: $1 in directory $DIR"
 while [ -f "$DIR/$NUM.eqns" ]
 do
-  OUTPUT=$($1 "$DIR/$NUM.eqns")
+  OUTPUT=$(timeout 5s $1 "$DIR/$NUM.eqns")
+  if [ $? -eq 124 ]; then
+    OUTPUT="did not terminate"
+  fi
   DIFF=$(echo "$OUTPUT" | diff - "$DIR/$NUM.soln")
   if [ ! -z "$DIFF" ]; then
     echo "=================="