Fixed bugs in the parsing of explicit type arguments.

Fixed resolution bug where some type arguments were not checked to have been determined.
Fixed resolution bugs where checking for equality-supporting types was missing.

5 files changed, 220 insertions, 47 deletions

diff --git a/Source/Dafny/Dafny.atg b/Source/Dafny/Dafny.atg
index 7b51fb5e..1710be05 100644
--- a/Source/Dafny/Dafny.atg
+++ b/Source/Dafny/Dafny.atg
@@ -299,6 +299,9 @@ bool IsGenericInstantiation() {
       return false;

   }

 }

+/* Returns true if the next thing is of the form:

+ *     "<" Type { "," Type } ">"

+ */

 bool IsTypeList(ref IToken pt) {

   if (pt.kind != _openAngleBracket) {

     return false;

@@ -306,6 +309,10 @@ bool IsTypeList(ref IToken pt) {
   pt = scanner.Peek();

   return IsTypeSequence(ref pt, _closeAngleBracket);

 }

+/* Returns true if the next thing is of the form:

+ *     Type { "," Type }

+ * followed by an endBracketKind.

+ */

 bool IsTypeSequence(ref IToken pt, int endBracketKind) {

   while (true) {

     if (!IsType(ref pt)) {

@@ -343,7 +350,7 @@ bool IsType(ref IToken pt) {
     case _map:

     case _imap:

       pt = scanner.Peek();

-      return IsTypeList(ref pt);

+      return pt.kind != _openAngleBracket || IsTypeList(ref pt);

     case _ident:

       while (true) {

         // invariant: next token is an ident

@@ -362,6 +369,11 @@ bool IsType(ref IToken pt) {
       }

     case _openparen:

       pt = scanner.Peek();

+      if (pt.kind == _closeparen) {

+        // end of type list

+        pt = scanner.Peek();

+        return true;

+      }

       return IsTypeSequence(ref pt, _closeparen);

     default:

       return false;

diff --git a/Source/Dafny/Parser.cs b/Source/Dafny/Parser.cs
index a90e650a..8d14b9df 100644
--- a/Source/Dafny/Parser.cs
+++ b/Source/Dafny/Parser.cs
@@ -74,8 +74,8 @@ public class Parser {
 	public const int _ellipsis = 58;

 	public const int maxT = 138;

 

-	const bool _T = true;

-	const bool _x = false;

+	const bool T = true;

+	const bool x = false;

 	const int minErrDist = 2;

 

 	public Scanner/*!*/ scanner;

@@ -370,6 +370,9 @@ bool IsGenericInstantiation() {
       return false;

   }

 }

+/* Returns true if the next thing is of the form:

+ *     "<" Type { "," Type } ">"

+ */

 bool IsTypeList(ref IToken pt) {

   if (pt.kind != _openAngleBracket) {

     return false;

@@ -377,6 +380,10 @@ bool IsTypeList(ref IToken pt) {
   pt = scanner.Peek();

   return IsTypeSequence(ref pt, _closeAngleBracket);

 }

+/* Returns true if the next thing is of the form:

+ *     Type { "," Type }

+ * followed by an endBracketKind.

+ */

 bool IsTypeSequence(ref IToken pt, int endBracketKind) {

   while (true) {

     if (!IsType(ref pt)) {

@@ -414,7 +421,7 @@ bool IsType(ref IToken pt) {
     case _map:

     case _imap:

       pt = scanner.Peek();

-      return IsTypeList(ref pt);

+      return pt.kind != _openAngleBracket || IsTypeList(ref pt);

     case _ident:

       while (true) {

         // invariant: next token is an ident

@@ -433,6 +440,11 @@ bool IsType(ref IToken pt) {
       }

     case _openparen:

       pt = scanner.Peek();

+      if (pt.kind == _closeparen) {

+        // end of type list

+        pt = scanner.Peek();

+        return true;

+      }

       return IsTypeSequence(ref pt, _closeparen);

     default:

       return false;

@@ -4377,38 +4389,38 @@ List<Expression/*!*/>/*!*/ decreases, ref Attributes decAttrs, ref Attributes mo
 	}

 

 	static readonly bool[,]/*!*/ set = {

-		{_T,_T,_T,_T, _T,_x,_x,_x, _T,_x,_T,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_x,_x,_T, _x,_x,_x,_T, _x,_x,_T,_T, _T,_x,_x,_T, _T,_x,_x,_T, _T,_x,_T,_T, _T,_T,_T,_x, _x,_T,_x,_x, _x,_x,_x,_x, _x,_x,_T,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_x,_T, _T,_x,_x,_T, _T,_T,_x,_x, _T,_x,_x,_T, _T,_T,_T,_T, _T,_T,_x,_T, _T,_x,_x,_T, _x,_x,_T,_T, _T,_T,_T,_T, _T,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_T,_T,_T, _T,_x,_x,_x},

-		{_x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_T,_T, _T,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _T,_T,_x,_x, _T,_x,_x,_x, _x,_T,_x,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_x,_x,_T, _T,_T,_T,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x},

-		{_x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_T,_T, _T,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _T,_T,_T,_x, _x,_T,_x,_x, _x,_x,_x,_T, _T,_T,_T,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x},

-		{_x,_T,_x,_x, _x,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x},

-		{_T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_T,_T, _T,_T,_x,_x, _x,_x,_T,_x, _x,_x,_x,_T, _x,_x,_x,_x, _x,_x,_x,_x, _T,_T,_x,_x, _T,_x,_T,_x, _x,_T,_x,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_x,_x,_T, _T,_T,_T,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x},

-		{_x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _x,_x,_x,_x, _x,_x,_T,_T, _T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x},

-		{_x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_T,_T,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x},

-		{_x,_T,_T,_T, _T,_x,_x,_x, _T,_x,_T,_x, _x,_T,_T,_T, _x,_T,_T,_T, _T,_x,_x,_T, _x,_x,_x,_x, _x,_x,_T,_T, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_x,_T, _x,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _T,_x,_x,_x, _x,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _x,_x,_x,_x, _x,_x,_T,_x, _T,_T,_x,_T, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_T,_T, _T,_T,_x,_x, _T,_x,_x,_T, _T,_T,_T,_T, _T,_x,_x,_x},

-		{_T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _x,_T,_T,_T, _T,_T,_x,_T, _T,_T,_T,_x, _x,_T,_x,_T, _x,_x,_x,_x, _x,_x,_x,_x, _T,_T,_x,_x, _T,_x,_x,_x, _x,_T,_x,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_x,_x,_T, _T,_T,_T,_x, _T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x},

-		{_x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _x,_x,_x,_x, _x,_x,_x,_T, _T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x},

-		{_T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_T,_T,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x},

-		{_x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _x,_x,_x,_x, _x,_x,_T,_x, _T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x},

-		{_x,_T,_T,_x, _x,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x},

-		{_T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _x,_x,_x,_x, _x,_x,_T,_T, _T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x},

-		{_x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x},

-		{_x,_T,_T,_T, _T,_x,_x,_x, _T,_x,_T,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_x,_x,_T, _x,_x,_x,_x, _x,_x,_T,_T, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_x,_x, _x,_T,_x,_x, _x,_x,_x,_x, _x,_x,_T,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _T,_x,_x,_x, _x,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_x,_T, _T,_x,_x,_T, _x,_x,_T,_T, _T,_T,_T,_T, _T,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_T,_T,_T, _T,_x,_x,_x},

-		{_T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _x,_x,_x,_x, _x,_x,_T,_x, _T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x},

-		{_T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _x,_x,_x,_x, _x,_x,_x,_T, _T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x},

-		{_x,_T,_T,_T, _T,_x,_x,_x, _T,_x,_T,_x, _x,_T,_T,_T, _x,_T,_T,_T, _T,_x,_x,_T, _x,_x,_x,_x, _x,_x,_T,_T, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_x,_T, _x,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _T,_x,_x,_x, _x,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_T,_T, _x,_x,_x,_x, _x,_x,_T,_x, _T,_T,_x,_T, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_T,_T, _T,_T,_x,_x, _T,_x,_x,_T, _T,_T,_T,_T, _T,_x,_x,_x},

-		{_T,_T,_T,_T, _T,_x,_x,_x, _T,_x,_T,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_x,_x,_T, _x,_x,_x,_x, _x,_x,_T,_T, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_x,_x, _x,_T,_x,_x, _x,_x,_x,_x, _x,_x,_T,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _T,_x,_x,_x, _x,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_x,_T, _T,_x,_x,_T, _x,_x,_T,_T, _T,_T,_T,_T, _T,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_T,_T,_T, _T,_x,_x,_x},

-		{_x,_T,_T,_T, _T,_x,_x,_x, _T,_x,_T,_x, _x,_T,_T,_T, _x,_T,_T,_T, _T,_x,_x,_T, _x,_x,_x,_x, _x,_x,_T,_T, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_x,_T, _x,_T,_x,_x, _x,_x,_x,_x, _T,_x,_T,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _T,_x,_x,_x, _x,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _x,_x,_x,_x, _x,_x,_T,_x, _T,_T,_x,_T, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_T,_T, _T,_T,_x,_x, _T,_x,_x,_T, _T,_T,_T,_T, _T,_x,_x,_x},

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-		{_x,_T,_T,_T, _T,_x,_x,_x, _T,_x,_T,_x, _x,_T,_T,_T, _x,_T,_T,_T, _T,_x,_x,_T, _x,_x,_x,_x, _x,_x,_T,_T, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_x,_T, _x,_T,_x,_x, _x,_x,_x,_x, _T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _T,_x,_x,_x, _x,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _x,_x,_x,_x, _x,_T,_T,_x, _T,_T,_x,_T, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_T,_T, _T,_T,_x,_x, _T,_x,_x,_T, _T,_T,_T,_T, _T,_x,_x,_x},

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-		{_T,_T,_T,_T, _T,_x,_x,_x, _T,_x,_T,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_x,_x,_T, _x,_x,_x,_x, _x,_x,_T,_T, _T,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_T,_x, _x,_T,_x,_x, _x,_x,_x,_x, _x,_x,_T,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _T,_x,_x,_x, _x,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_x,_T, _T,_x,_x,_T, _x,_x,_T,_T, _T,_T,_T,_T, _T,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_T,_T,_T, _T,_x,_x,_x},

-		{_x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_T,_T,_x, _x,_T,_T,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_T,_T, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _T,_x,_x,_x, _x,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _x,_x,_x,_x, _x,_x,_T,_x, _T,_T,_x,_T, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_T,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x, _x,_x,_x,_x},

-		{_T,_T,_T,_T, _T,_x,_x,_x, _T,_x,_T,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_x, _T,_T,_x,_x, _T,_x,_x,_x, _x,_T,_x,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_x,_x,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_x,_T,_T, _T,_x,_T,_T, _T,_T,_T,_T, _T,_T,_x,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_x,_x, _x,_x,_T,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_x,_x},

-		{_T,_T,_T,_T, _T,_x,_x,_x, _T,_x,_T,_x, _x,_x,_x,_x, _x,_x,_x,_T, _T,_T,_T,_T, _T,_T,_x,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_x, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_x, _T,_T,_x,_x, _T,_x,_x,_x, _x,_T,_x,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_x,_x,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_x,_T,_T, _x,_x,_T,_T, _T,_T,_T,_T, _T,_T,_x,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_x,_x, _x,_x,_T,_T, _T,_T,_T,_T, _T,_T,_T,_T, _T,_T,_x,_x}

+		{T,T,T,T, T,x,x,x, T,x,T,x, x,x,x,x, x,x,x,T, T,x,x,T, x,x,x,T, x,x,T,T, T,x,x,T, T,x,x,T, T,x,T,T, T,T,T,x, x,T,x,x, x,x,x,x, x,x,T,x, x,x,x,x, x,x,x,x, x,T,x,T, T,x,x,T, T,T,x,x, T,x,x,T, T,T,T,T, T,T,x,T, T,x,x,T, x,x,T,T, T,T,T,T, T,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,T,T,T, T,x,x,x},

+		{x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,T,T,T, T,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, T,T,x,x, T,x,x,x, x,T,x,T, T,T,T,T, T,T,T,T, T,x,x,T, T,T,T,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,T,T,T, T,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, T,T,T,x, x,T,x,x, x,x,x,T, T,T,T,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{x,T,x,x, x,T,T,T, T,T,T,T, T,T,T,T, T,T,T,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, x,x,x,x, x,x,x,x, x,T,T,T, T,T,x,x, x,x,T,x, x,x,x,T, x,x,x,x, x,x,x,x, T,T,x,x, T,x,T,x, x,T,x,T, T,T,T,T, T,T,T,T, T,x,x,T, T,T,T,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, x,x,x,x, x,x,T,T, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,T,T,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{x,T,T,T, T,x,x,x, T,x,T,x, x,T,T,T, x,T,T,T, T,x,x,T, x,x,x,x, x,x,T,T, x,x,x,x, x,x,x,x, x,x,x,x, x,T,x,T, x,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,x, x,T,x,x, x,x,x,x, x,x,x,x, x,x,x,T, x,x,x,x, x,x,T,x, T,T,x,T, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,T,T,T, T,T,x,x, T,x,x,T, T,T,T,T, T,x,x,x},

+		{T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,T,x,x, x,x,x,x, x,x,x,x, x,x,x,T, x,T,T,T, T,T,x,T, T,T,T,x, x,T,x,T, x,x,x,x, x,x,x,x, T,T,x,x, T,x,x,x, x,T,x,T, T,T,T,T, T,T,T,T, T,x,x,T, T,T,T,x, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, x,x,x,x, x,x,x,T, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,T,T,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, x,x,x,x, x,x,T,x, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{x,T,T,x, x,T,T,T, T,T,T,T, T,T,T,T, T,T,T,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, x,x,x,x, x,x,T,T, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{x,T,T,T, T,x,x,x, T,x,T,x, x,x,x,x, x,x,x,T, T,x,x,T, x,x,x,x, x,x,T,T, x,x,x,x, x,x,x,x, x,x,x,x, x,T,x,x, x,T,x,x, x,x,x,x, x,x,T,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,x, x,T,x,x, x,x,x,x, x,x,x,x, x,T,x,T, T,x,x,T, x,x,T,T, T,T,T,T, T,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,T,T,T, T,x,x,x},

+		{T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, x,x,x,x, x,x,T,x, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, x,x,x,x, x,x,x,T, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{x,T,T,T, T,x,x,x, T,x,T,x, x,T,T,T, x,T,T,T, T,x,x,T, x,x,x,x, x,x,T,T, x,x,x,x, x,x,x,x, x,x,x,x, x,T,x,T, x,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,x, x,T,x,x, x,x,x,x, x,x,x,x, x,x,T,T, x,x,x,x, x,x,T,x, T,T,x,T, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,T,T,T, T,T,x,x, T,x,x,T, T,T,T,T, T,x,x,x},

+		{T,T,T,T, T,x,x,x, T,x,T,x, x,x,x,x, x,x,x,T, T,x,x,T, x,x,x,x, x,x,T,T, x,x,x,x, x,x,x,x, x,x,x,x, x,T,x,x, x,T,x,x, x,x,x,x, x,x,T,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,x, x,T,x,x, x,x,x,x, x,x,x,x, x,T,x,T, T,x,x,T, x,x,T,T, T,T,T,T, T,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,T,T,T, T,x,x,x},

+		{x,T,T,T, T,x,x,x, T,x,T,x, x,T,T,T, x,T,T,T, T,x,x,T, x,x,x,x, x,x,T,T, x,x,x,x, x,x,x,x, x,x,x,x, x,T,x,T, x,T,x,x, x,x,x,x, T,x,T,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,x, x,T,x,x, x,x,x,x, x,x,x,x, x,x,x,T, x,x,x,x, x,x,T,x, T,T,x,T, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,T,T,T, T,T,x,x, T,x,x,T, T,T,T,T, T,x,x,x},

+		{x,T,T,T, T,x,x,x, T,x,T,x, x,T,T,T, x,T,T,T, T,x,x,T, x,x,x,x, x,x,T,T, x,x,x,x, x,x,x,x, x,x,x,x, x,T,x,T, x,T,x,x, x,x,x,x, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,x, x,T,x,x, x,x,x,x, x,x,x,x, x,x,x,T, x,x,x,x, x,x,T,x, T,T,x,T, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,T,T,T, T,T,x,x, T,x,x,T, T,T,T,T, T,x,x,x},

+		{x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,x,x,x, x,x,T,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{x,T,T,T, T,x,x,x, T,x,T,x, x,x,x,x, x,x,x,T, T,x,x,T, x,x,x,x, x,x,T,T, T,x,x,x, x,x,x,x, x,x,x,x, x,T,T,x, x,T,x,x, x,x,x,x, x,x,T,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,x, x,T,x,x, x,x,x,x, x,x,x,x, x,T,x,T, T,x,x,T, x,x,T,T, T,T,T,T, T,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,T,T,T, T,x,x,x},

+		{x,T,T,T, T,x,x,x, T,x,T,x, x,x,x,x, x,x,x,T, T,x,x,T, x,x,x,x, x,x,T,T, T,x,x,x, x,x,x,x, x,x,x,x, x,T,T,x, x,T,x,x, x,x,x,x, x,x,T,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,x, x,T,x,x, x,x,x,x, x,x,x,T, T,T,x,T, T,x,x,T, x,x,T,T, T,T,T,T, T,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,T,T,T, T,x,x,x},

+		{x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,T,T,T, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,T,T,T, T,T,T,T, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{x,T,T,T, T,x,x,x, T,x,T,x, x,T,T,T, x,T,T,T, T,x,x,T, x,x,x,x, x,x,T,T, x,x,x,x, x,x,x,x, x,x,x,x, x,T,x,T, x,T,x,x, x,x,x,x, T,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,x, x,T,x,x, x,x,x,x, x,x,x,x, x,x,x,T, x,x,x,x, x,T,T,x, T,T,x,T, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,T,T,T, T,T,x,x, T,x,x,T, T,T,T,T, T,x,x,x},

+		{x,x,T,T, T,x,x,x, T,x,T,x, x,x,x,x, x,x,x,T, T,x,x,T, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,T,T,T, T,x,x,x},

+		{T,T,T,T, T,x,x,x, T,x,T,x, x,x,x,x, x,x,x,T, T,x,x,T, x,x,x,x, x,x,T,T, T,x,x,x, x,x,x,x, x,x,x,x, x,T,T,x, x,T,x,x, x,x,x,x, x,x,T,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,x, x,T,x,x, x,x,x,x, x,x,x,x, x,T,x,T, T,x,x,T, x,x,T,T, T,T,T,T, T,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,T,T,T, T,x,x,x},

+		{x,x,x,x, x,x,x,x, x,x,x,x, x,T,T,x, x,T,T,x, x,x,x,x, x,x,x,x, x,x,T,T, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, T,x,x,x, x,T,x,x, x,x,x,x, x,x,x,x, x,x,x,T, x,x,x,x, x,x,T,x, T,T,x,T, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,x, x,x,x,T, T,T,x,x, x,x,x,x, x,x,x,x, x,x,x,x},

+		{T,T,T,T, T,x,x,x, T,x,T,x, x,x,x,x, x,x,x,T, T,T,T,T, T,T,T,T, T,T,T,T, T,T,T,T, T,T,T,T, T,T,T,T, T,T,T,T, T,T,T,T, T,T,T,T, T,T,T,x, T,T,x,x, T,x,x,x, x,T,x,T, T,T,T,T, T,T,T,T, T,x,x,T, T,T,T,T, T,T,T,T, T,x,T,T, T,x,T,T, T,T,T,T, T,T,x,T, T,T,T,T, T,T,T,T, T,T,T,T, T,T,x,x, x,x,T,T, T,T,T,T, T,T,T,T, T,T,x,x},

+		{T,T,T,T, T,x,x,x, T,x,T,x, x,x,x,x, x,x,x,T, T,T,T,T, T,T,x,T, T,T,T,T, T,T,T,T, T,T,T,T, T,T,T,T, T,T,T,x, T,T,T,T, T,T,T,T, T,T,T,x, T,T,x,x, T,x,x,x, x,T,x,T, T,T,T,T, T,T,T,T, T,x,x,T, T,T,T,T, T,T,T,T, T,x,T,T, x,x,T,T, T,T,T,T, T,T,x,T, T,T,T,T, T,T,T,T, T,T,T,T, T,T,x,x, x,x,T,T, T,T,T,T, T,T,T,T, T,T,x,x}

 

 	};

 } // end Parser

diff --git a/Source/Dafny/Resolver.cs b/Source/Dafny/Resolver.cs
index 3e308e76..99b8ba1e 100644
--- a/Source/Dafny/Resolver.cs
+++ b/Source/Dafny/Resolver.cs
@@ -2166,7 +2166,8 @@ namespace Microsoft.Dafny
           proxy.T = new ObjectType();

           return true;

         }

-        return !(t is TypeProxy);  // all other proxies indicate the type has not yet been determined

+        // all other proxies indicate the type has not yet been determined, provided their type parameters have been

+        return !(t is TypeProxy) && t.TypeArgs.All(tt => IsDetermined(tt.Normalize()));

       }

       ISet<TypeProxy> UnderspecifiedTypeProxies = new HashSet<TypeProxy>();

       bool CheckTypeIsDetermined(IToken tok, Type t, string what) {

@@ -2738,6 +2739,14 @@ namespace Microsoft.Dafny
           foreach (var v in s.BoundVars) {

             CheckEqualityTypes_Type(v.Tok, v.Type);

           }

+          // do substatements and subexpressions, except attributes and ensures clauses, since they are not compiled

+          foreach (var ss in s.SubStatements) {

+            Visit(ss, st);

+          }

+          if (s.Range != null) {

+            Visit(s.Range, st);

+          }

+          return false;  // we're done

         }

         return true;

       }

@@ -2796,6 +2805,18 @@ namespace Microsoft.Dafny
           foreach (var bv in e.BoundVars) {

             CheckEqualityTypes_Type(bv.tok, bv.Type);

           }

+        } else if (expr is MemberSelectExpr) {

+          var e = (MemberSelectExpr)expr;

+          if (e.Member is Function || e.Member is Method) {

+            var i = 0;

+            foreach (var tp in ((ICallable)e.Member).TypeArgs) {

+              var actualTp = e.TypeApplication[e.Member.EnclosingClass.TypeArgs.Count + i];

+              if (tp.MustSupportEquality && !actualTp.SupportsEquality) {

+                Error(e.tok, "type parameter {0} ({1}) passed to {5} '{2}' must support equality (got {3}){4}", i, tp.Name, e.Member.Name, actualTp, TypeEqualityErrorMessageHint(actualTp), e.Member.WhatKind);

+              }

+              i++;

+            }

+          }

         } else if (expr is FunctionCallExpr) {

           var e = (FunctionCallExpr)expr;

           Contract.Assert(e.Function.TypeArgs.Count <= e.TypeArgumentSubstitutions.Count);

@@ -2818,7 +2839,7 @@ namespace Microsoft.Dafny
             i++;

           }

           return false;  // we've done what there is to be done

-        } else if (expr is SetDisplayExpr || expr is MultiSetDisplayExpr || expr is MapDisplayExpr || expr is MultiSetFormingExpr) {

+        } else if (expr is SetDisplayExpr || expr is MultiSetDisplayExpr || expr is MapDisplayExpr || expr is MultiSetFormingExpr || expr is StaticReceiverExpr) {

           // This catches other expressions whose type may potentially be illegal

           CheckEqualityTypes_Type(expr.tok, expr.Type);

         }

@@ -2834,11 +2855,8 @@ namespace Microsoft.Dafny
         } else if (type is SetType) {

           var st = (SetType)type;

           var argType = st.Arg;

-          if (!st.Finite) {

-            Error(tok, "isets do not support equality: {0}", st);

-          }

           if (!argType.SupportsEquality) {

-            Error(tok, "set argument type must support equality (got {0}){1}", argType, TypeEqualityErrorMessageHint(argType));

+            Error(tok, "{2}set argument type must support equality (got {0}){1}", argType, TypeEqualityErrorMessageHint(argType), st.Finite ? "" : "i");

           }

           CheckEqualityTypes_Type(tok, argType);

 

@@ -2851,11 +2869,8 @@ namespace Microsoft.Dafny
 

         } else if (type is MapType) {

           var mt = (MapType)type;

-          if (!mt.Finite) {

-            Error(tok, "imaps do not support equality: {0}", mt);

-          }

           if (!mt.Domain.SupportsEquality) {

-            Error(tok, "map domain type must support equality (got {0}){1}", mt.Domain, TypeEqualityErrorMessageHint(mt.Domain));

+            Error(tok, "{2}map domain type must support equality (got {0}){1}", mt.Domain, TypeEqualityErrorMessageHint(mt.Domain), mt.Finite ? "" : "i");

           }

           CheckEqualityTypes_Type(tok, mt.Domain);

           CheckEqualityTypes_Type(tok, mt.Range);

diff --git a/Test/dafny0/EqualityTypes.dfy b/Test/dafny0/EqualityTypes.dfy
index b2812759..c510cfb1 100644
--- a/Test/dafny0/EqualityTypes.dfy
+++ b/Test/dafny0/EqualityTypes.dfy
@@ -241,3 +241,115 @@ module Deep {
     var m1 := map[ko := 5];  // error: bad type

   }

 }

+

+//--------------------------

+

+module UnderspecifiedTypeParameters {

+  method UP<T>()

+  function method UG<T>(): int

+  method Callee<T(==)>()

+  class TakesParam<U> { }

+  

+  method MPG()

+  {

+    var g := UG();  // error: type parameter underspecified

+    UP();  // error: type parameter underspecified

+  }

+  method M() {

+    var zs: set;  // error: type is underspecified

+    Callee<(int)>();

+    Callee<set>();  // error: type is underspecified

+    Callee<()>();

+    // The following 

+    Callee<TakesParam>();  // error: type is underspecified

+  }

+}

+

+module EqualitySupportingTypes {

+  method P<T>()

+  function method G<T>(): int

+  class AClass<V(==),Y> {

+    static function method H<W,X(==)>(): bool

+    static method Q<A,B(==)>()

+  }

+

+  method Callee<T(==)>()

+  function method FCallee<T>(): T

+

+  datatype Dt = Dt(f: int -> int)

+  codatatype Stream<T> = Cons(T, Stream)

+

+  method M<ArbitraryTypeArg>()

+  {

+    Callee<Dt>();  // error:  Dt is not an equality-supporting type

+    Callee<Stream<int>>();  // error: specified type does not support equality

+

+    // set<X> is allowed in a non-ghost context only if X is equality supporting.

+    // Ditto for multiset<X> and map<X,Y>.

+    var s3x: set<Dt>;  // error: this type not allowed in a non-ghost context

+    var is3x: iset<Dt>;  // error: this type not allowed in a non-ghost context

+    var mast: multiset<ArbitraryTypeArg>;  // error: this type not allowed in a non-ghost context

+    var qt: seq<Stream<int>>;  // allowed

+    var mp0: map<Dt,int>;  // error: this type not allowed in a non-ghost context

+    var mp1: map<int,Dt>;  // allowed

+    var imp0: imap<Dt,int>;  // error: this type not allowed in a non-ghost context

+    var imp1: imap<int,Dt>;  // allowed

+

+    var S := FCallee<set>();  // this gives s:set<?>

+    if 4 in S {              // this constrains the type further to be s:set<int>

+    }

+

+    var xy: set<set<int>>;

+    var xz: set<set<Stream<int>>>;  // error: set type argument must support equality

+    

+    Callee<set<Stream<int>>>();  // bogus: a set shouldn't ever be allowed to take a Stream as an argument (this check seems to be missing for explicit type arguments)  -- Note: language definition should be changed, because it doesn't make sense for it to talk about a type appearing in a ghost or non-ghost context. Instead, set/iset/multiset/map/imap should always be allowed to take any type argument, but these types may or may not support equality.

+    var xg := G<set<Stream<int>>>();

+    

+    var ac0: AClass<int,int>;

+    var ac1: AClass<Stream<int>,int>;  // error: type parameter 0 is required to support equality

+    var ac2: AClass<int,Stream<int>>;

+    var xd0 := ac0.H<real,real>();

+    var xd1 := ac1.H<Stream<real>,real>();  // error (remnant of the fact that the type of ac1 is not allowed)

+    var xd2 := ac2.H<real,Stream<real>>();  // error: type parameter 1 is required to support equality

+    var xe0 := ac0.H<real,real>;

+    var xe1 := ac1.H<Stream<real>,real>;  // error (remnant of the fact that the type of ac1 is not allowed)

+    var xe2 := ac2.H<real,Stream<real>>;  // error: type parameter 1 is required to support equality

+    var xh0 := AClass<int,int>.H<real,real>();

+    var xh1 := AClass<int,int>.H<Stream<real>,real>();

+    var xh2 := AClass<int,int>.H<real,Stream<real>>();  // error: type parameter 1 is required to support equality

+    var xk0 := AClass<real,real>.H<int,int>;

+    var xk1 := AClass<Stream<real>,real>.H<int,int>;  // error: class type param 0 wants an equality-supporting type

+    var xk2 := AClass<real,Stream<real>>.H<int,int>;

+    AClass<Stream<int>,int>.Q<real,real>();  // error: class type param 0 wants an equality-supporting type

+    AClass<int,Stream<int>>.Q<real,real>();

+    AClass<int,Stream<int>>.Q<Stream<real>,real>();

+    AClass<int,Stream<int>>.Q<real,Stream<real>>();  // error: method type param 1 wants an equality-supporting type

+  

+/*************************** TESTS YET TO COME

+    var ac8: AClass<real,real>;

+    var xd8 := (if 5/0 == 3 then ac0 else ac8).H<real,real>();  // error: this should be checked by the verifier

+

+    AClass<int,set<Stream<int>>>.Q<real,real>();  // error: cannot utter "set<Stream<int>>"   Or is that okay???

+    AClass<int,int>.Q<set<Stream<real>>,real>();  // error: cannot utter "set<Stream<real>>"   Or is that okay???

+    var xi0 := AClass<int,set<Stream<int>>>.H<real,real>();  // error: cannot utter "set<Stream<int>>"   Or is that okay???

+    var xi1 := AClass<int,int>.H<real,set<Stream<real>>>();  // error: cannot utter "set<Stream<real>>"   Or is that okay???

+

+    var x, t, s: seq<int -> int>, fii: int -> int;

+    if s == t {

+      x := 5;  // error: assigning to non-ghost variable in ghost context

+    }

+    if fii in s {

+      x := 4;  // error: assigning to non-ghost variable in ghost context

+    }

+    if !(fii in s) {

+      x := 3;  // error: assigning to non-ghost variable in ghost context

+    }

+

+    ghost var ghostset: set<Stream<int>> := {};  // fine, since this is ghost

+    forall u | 0 <= u < 100

+      ensures var lets: set<Stream<int>> := {}; lets == lets  // this is ghost, so the equality requirement doesn't apply

+    {

+    }

+*********************************************/

+  }

+}

diff --git a/Test/dafny0/EqualityTypes.dfy.expect b/Test/dafny0/EqualityTypes.dfy.expect
index 9f277582..1c02f3a0 100644
--- a/Test/dafny0/EqualityTypes.dfy.expect
+++ b/Test/dafny0/EqualityTypes.dfy.expect
@@ -35,4 +35,26 @@ EqualityTypes.dfy(238,24): Error: set argument type must support equality (got C
 EqualityTypes.dfy(239,21): Error: multiset argument type must support equality (got Co)

 EqualityTypes.dfy(241,8): Error: map domain type must support equality (got Co)

 EqualityTypes.dfy(241,14): Error: map domain type must support equality (got Co)

-37 resolution/type errors detected in EqualityTypes.dfy

+EqualityTypes.dfy(255,13): Error: type variable 'T' in the function call to 'UG' could not be determined

+EqualityTypes.dfy(256,4): Error: type '?' to the method 'UP' is not determined

+EqualityTypes.dfy(259,8): Error: the type of this local variable is underspecified

+EqualityTypes.dfy(261,4): Error: type 'set<?>' to the method 'Callee' is not determined

+EqualityTypes.dfy(264,4): Error: type 'TakesParam<?>' to the method 'Callee' is not determined

+EqualityTypes.dfy(284,14): Error: type parameter 0 (T) passed to method Callee must support equality (got Dt)

+EqualityTypes.dfy(285,23): Error: type parameter 0 (T) passed to method Callee must support equality (got Stream<int>)

+EqualityTypes.dfy(289,8): Error: set argument type must support equality (got Dt)

+EqualityTypes.dfy(290,8): Error: iset argument type must support equality (got Dt)

+EqualityTypes.dfy(291,8): Error: multiset argument type must support equality (got ArbitraryTypeArg) (perhaps try declaring type parameter 'ArbitraryTypeArg' on line 282 as 'ArbitraryTypeArg(==)', which says it can only be instantiated with a type that supports equality)

+EqualityTypes.dfy(293,8): Error: map domain type must support equality (got Dt)

+EqualityTypes.dfy(295,8): Error: imap domain type must support equality (got Dt)

+EqualityTypes.dfy(303,8): Error: set argument type must support equality (got Stream<int>)

+EqualityTypes.dfy(309,8): Error: type parameter 0 (V) passed to type AClass must support equality (got Stream<int>)

+EqualityTypes.dfy(312,19): Error: type parameter 0 (V) passed to type AClass must support equality (got Stream<int>)

+EqualityTypes.dfy(313,19): Error: type parameter 1 (X) passed to function H must support equality (got Stream<real>)

+EqualityTypes.dfy(315,19): Error: type parameter 0 (V) passed to type AClass must support equality (got Stream<int>)

+EqualityTypes.dfy(316,19): Error: type parameter 1 (X) passed to function 'H' must support equality (got Stream<real>)

+EqualityTypes.dfy(319,31): Error: type parameter 1 (X) passed to function H must support equality (got Stream<real>)

+EqualityTypes.dfy(321,41): Error: type parameter 0 (V) passed to type AClass must support equality (got Stream<real>)

+EqualityTypes.dfy(323,28): Error: type parameter 0 (V) passed to type AClass must support equality (got Stream<int>)

+EqualityTypes.dfy(326,48): Error: type parameter 1 (B) passed to method Q must support equality (got Stream<real>)

+59 resolution/type errors detected in EqualityTypes.dfy