Generate overloaded function definitions

.gitignore

@@ -1,5 +1,6 @@
 *.pyc
 *~
+tags
 depend
 ispc
 ispc_test
@@ -12,6 +13,7 @@ tests*/*cpp
 tests*/*run
 tests*/*.o
 tests_ispcpp/*.h
+tests_ispcpp/*.out
 tests_ispcpp/*pre*
 logs/
 notify_log.log
@@ -23,5 +25,8 @@ examples/*/ref
 examples/*/test
 *.swp
 check_isa.exe
+.vscode
+configure
+ispc.dSYM
 
 

ast.cpp

@@ -42,8 +42,11 @@
 #include "func.h"
 #include "stmt.h"
 #include "sym.h"
+#include "type.h"
 #include "util.h"
 
+#include <map>
+
 ///////////////////////////////////////////////////////////////////////////
 // ASTNode
 
@@ -55,10 +58,21 @@ ASTNode::~ASTNode() {
 // AST
 
 void
-AST::AddFunction(Symbol *sym, Stmt *code) {
+AST::AddFunction(Symbol *sym, Stmt *code, SymbolTable *symbolTable) {
     if (sym == NULL)
         return;
-    functions.push_back(new Function(sym, code));
+
+    Function *f = new Function(sym, code);
+
+    if (f->IsPolyFunction()) {
+        std::vector<Function *> *expanded = f->ExpandPolyArguments(symbolTable);
+        for (size_t i=0; i<expanded->size(); i++) {
+            functions.push_back((*expanded)[i]);
+        }
+        delete expanded;
+    } else {
+        functions.push_back(f);
+    }
 }
 
 
@@ -508,3 +522,25 @@ SafeToRunWithMaskAllOff(ASTNode *root) {
     WalkAST(root, lCheckAllOffSafety, NULL, &safe);
     return safe;
 }
+
+struct PolyData {
+    const PolyType *polyType;
+    const Type *replacement;
+};
+
+
+static ASTNode *
+lTranslatePolyNode(ASTNode *node, void *d) {
+    struct PolyData *data = (struct PolyData*)d;
+
+    return node->ReplacePolyType(data->polyType, data->replacement);
+}
+
+ASTNode *
+TranslatePoly(ASTNode *root, const PolyType *polyType, const Type *replacement) {
+    struct PolyData data;
+    data.polyType = polyType;
+    data.replacement = replacement;
+
+    return WalkAST(root, NULL, lTranslatePolyNode, &data);
+}

ast.h

@@ -39,6 +39,7 @@
 #define ISPC_AST_H 1
 
 #include "ispc.h"
+#include "type.h"
 #include <vector>
 
 /** @brief Abstract base class for nodes in the abstract syntax tree (AST).
@@ -67,6 +68,8 @@ public:
         pointer in place of the original ASTNode *. */
     virtual ASTNode *TypeCheck() = 0;
 
+    virtual ASTNode *ReplacePolyType(const PolyType *, const Type *) = 0;
+
     /** Estimate the execution cost of the node (not including the cost of
         the children.  The value returned should be based on the COST_*
         enumerant values defined in ispc.h. */
@@ -145,7 +148,7 @@ class AST {
 public:
     /** Add the AST for a function described by the given declaration
         information and source code. */
-    void AddFunction(Symbol *sym, Stmt *code);
+    void AddFunction(Symbol *sym, Stmt *code, SymbolTable *symbolTable=NULL);
 
     /** Generate LLVM IR for all of the functions into the current
         module. */
@@ -204,6 +207,8 @@ extern Stmt *TypeCheck(Stmt *);
     the given root. */
 extern int EstimateCost(ASTNode *root);
 
+extern ASTNode * TranslatePoly(ASTNode *root, const PolyType *polyType, const Type *replacement);
+
 /** Returns true if it would be safe to run the given code with an "all
     off" mask. */
 extern bool SafeToRunWithMaskAllOff(ASTNode *root);

expr.cpp

@@ -112,6 +112,11 @@ Expr::GetBaseSymbol() const {
     return NULL;
 }
 
+Expr *
+Expr::ReplacePolyType(const PolyType *polyType, const Type *replacement) {
+    return this;
+}
+
 
 #if 0
 /** If a conversion from 'fromAtomicType' to 'toAtomicType' may cause lost
@@ -276,6 +281,8 @@ lDoTypeConv(const Type *fromType, const Type *toType, Expr **expr,
     const AtomicType *fromAtomicType = CastType<AtomicType>(fromType);
     const PointerType *fromPointerType = CastType<PointerType>(fromType);
     const PointerType *toPointerType = CastType<PointerType>(toType);
+    const PolyType *fromPolyType = CastType<PolyType>(fromType);
+    const PolyType *toPolyType = CastType<PolyType>(toType);
 
     // Do this early, since for the case of a conversion like
     // "float foo[10]" -> "float * uniform foo", we have what's seemingly
@@ -544,6 +551,20 @@ lDoTypeConv(const Type *fromType, const Type *toType, Expr **expr,
         goto typecast_ok;
     }
 
+    // atomic -> polymorphic
+    if ((fromAtomicType || fromPolyType) && toPolyType) {
+        if (toPolyType->CanBeType(fromType)) {
+            goto typecast_ok;
+        } else {
+            if (!failureOk) {
+                Error(pos, "Can't convert between \"%s\" and polymorphic type "
+                      "\"%s\" for %s", fromType->GetString().c_str(),
+                      toPolyType->GetString().c_str(), errorMsgBase);
+            }
+        }
+    }
+
+
     // from here on out, the from type can only be atomic something or
     // other...
     if (fromAtomicType == NULL) {
@@ -4653,6 +4674,23 @@ IndexExpr::TypeCheck() {
     return this;
 }
 
+Expr *
+IndexExpr::ReplacePolyType(const PolyType *from, const Type *to) {
+    if (index == NULL || baseExpr == NULL)
+        return NULL;
+
+    if (Type::EqualForReplacement(this->GetType()->GetBaseType(), from)) {
+        type = PolyType::ReplaceType(type, to);
+    }
+
+    if (Type::EqualForReplacement(this->GetLValueType()->GetBaseType(), from)) {
+        lvalueType = new PointerType(to, lvalueType->GetVariability(),
+                                     lvalueType->IsConstType());
+    }
+
+    return this;
+}
+
 
 int
 IndexExpr::EstimateCost() const {
@@ -5295,6 +5333,23 @@ MemberExpr::Optimize() {
     return expr ? this : NULL;
 }
 
+Expr *
+MemberExpr::ReplacePolyType(const PolyType *from, const Type *to) {
+    if (expr == NULL)
+        return NULL;
+
+    if (Type::EqualForReplacement(this->GetType()->GetBaseType(), from)) {
+        type = PolyType::ReplaceType(type, to);
+    }
+
+    if (Type::EqualForReplacement(this->GetLValueType()->GetBaseType(), from)) {
+        lvalueType =  PolyType::ReplaceType(lvalueType, lvalueType);
+    }
+
+    return this;
+}
+
+
 
 int
 MemberExpr::EstimateCost() const {
@@ -7097,6 +7152,9 @@ TypeCastExpr::GetValue(FunctionEmitContext *ctx) const {
     else {
         const AtomicType *toAtomic = CastType<AtomicType>(toType);
         // typechecking should ensure this is the case
+        if (!toAtomic) {
+            fprintf(stderr, "I want %s to be atomic\n", toType->GetString().c_str());
+        }
         AssertPos(pos, toAtomic != NULL);
 
         return lTypeConvAtomic(ctx, exprVal, toAtomic, fromAtomic, pos);
@@ -7326,6 +7384,18 @@ TypeCastExpr::Optimize() {
     return this;
 }
 
+Expr *
+TypeCastExpr::ReplacePolyType(const PolyType *from, const Type *to) {
+    if (type == NULL)
+        return NULL;
+
+    if (Type::EqualForReplacement(type->GetBaseType(), from)) {
+        type = PolyType::ReplaceType(type, to);
+    }
+
+    return this;
+}
+
 
 int
 TypeCastExpr::EstimateCost() const {
@@ -7996,6 +8066,18 @@ SymbolExpr::Optimize() {
         return this;
 }
 
+Expr *
+SymbolExpr::ReplacePolyType(const PolyType *from, const Type *to) {
+    if (!symbol)
+        return NULL;
+
+    if (Type::EqualForReplacement(symbol->type->GetBaseType(), from)) {
+        symbol->type = PolyType::ReplaceType(symbol->type, to);
+    }
+
+    return this;
+}
+
 
 int
 SymbolExpr::EstimateCost() const {
@@ -8794,6 +8876,18 @@ NewExpr::Optimize() {
     return this;
 }
 
+Expr *
+NewExpr::ReplacePolyType(const PolyType *from, const Type *to) {
+    if (!allocType)
+        return this;
+
+    if (Type::EqualForReplacement(allocType->GetBaseType(), from)) {
+        allocType = PolyType::ReplaceType(allocType, to);
+    }
+
+    return this;
+}
+
 
 void
 NewExpr::Print() const {

expr.h

@@ -96,6 +96,10 @@ public:
         encountered, NULL should be returned. */
     virtual Expr *TypeCheck() = 0;
 
+
+    /** This method replaces a polymorphic type with a specific atomic type */
+    Expr *ReplacePolyType(const PolyType *polyType, const Type *replacement);
+
     /** Prints the expression to standard output (used for debugging). */
     virtual void Print() const = 0;
 };
@@ -324,6 +328,7 @@ public:
 
     Expr *Optimize();
     Expr *TypeCheck();
+    Expr *ReplacePolyType(const PolyType *from, const Type *to);
     int EstimateCost() const;
 
     Expr *baseExpr, *index;
@@ -357,6 +362,7 @@ public:
     void Print() const;
     Expr *Optimize();
     Expr *TypeCheck();
+    Expr *ReplacePolyType(const PolyType *from, const Type *to);
     int EstimateCost() const;
 
     virtual int getElementNumber() const = 0;
@@ -522,6 +528,7 @@ public:
     void Print() const;
     Expr *TypeCheck();
     Expr *Optimize();
+    Expr *ReplacePolyType(const PolyType *from, const Type *to);
     int EstimateCost() const;
     Symbol *GetBaseSymbol() const;
     llvm::Constant *GetConstant(const Type *type) const;
@@ -681,6 +688,7 @@ public:
     Symbol *GetBaseSymbol() const;
     Expr *TypeCheck();
     Expr *Optimize();
+    Expr *ReplacePolyType(const PolyType *from, const Type *to);
     void Print() const;
     int EstimateCost() const;
 
@@ -809,6 +817,7 @@ public:
     const Type *GetType() const;
     Expr *TypeCheck();
     Expr *Optimize();
+    Expr *ReplacePolyType(const PolyType *from, const Type *to);
     void Print() const;
     int EstimateCost() const;
 

func.cpp

@@ -45,6 +45,7 @@
 #include "sym.h"
 #include "util.h"
 #include <stdio.h>
+#include <set>
 
 #if ISPC_LLVM_VERSION == ISPC_LLVM_3_2 // 3.2
 #ifdef ISPC_NVPTX_ENABLED
@@ -627,3 +628,57 @@ Function::GenerateIR() {
         }
     }
 }
+
+const bool
+Function::IsPolyFunction() const {
+    for (size_t i = 0; i < args.size(); i++) {
+        if (args[i]->type->IsPolymorphicType()) {
+            return true;
+        }
+    }
+
+    return false;
+}
+
+
+std::vector<Function *> *
+Function::ExpandPolyArguments(SymbolTable *symbolTable) const {
+    Assert(symbolTable != NULL);
+
+    std::vector<Function *> *expanded = new std::vector<Function *>();
+
+    std::vector<Symbol *> versions = symbolTable->LookupPolyFunction(sym->name.c_str());
+
+    const FunctionType *func = CastType<FunctionType>(sym->type);
+
+    printf("%s before replacing anything:\n", sym->name.c_str());
+    code->Print(0);
+
+    for (size_t i=0; i<versions.size(); i++) {
+        const FunctionType *ft = CastType<FunctionType>(versions[i]->type);
+        Stmt *ncode = code;
+
+        for (int j=0; j<ft->GetNumParameters(); j++) {
+            if (func->GetParameterType(j)->IsPolymorphicType()) {
+                const PolyType *from = CastType<PolyType>(
+                        func->GetParameterType(j)->GetBaseType());
+
+                ncode = (Stmt*)TranslatePoly(ncode, from,
+                        ft->GetParameterType(j)->GetBaseType());
+                printf("%s after replacing %s with %s:\n\n",
+                        sym->name.c_str(), from->GetString().c_str(),
+                        ft->GetParameterType(j)->GetBaseType()->GetString().c_str());
+
+                ncode->Print(0);
+
+                printf("------------------------------------------\n\n");
+            }
+        }
+
+        Symbol *s = symbolTable->LookupFunction(versions[i]->name.c_str(), ft);
+
+        expanded->push_back(new Function(s, ncode));
+    }
+
+    return expanded;
+}

func.h

@@ -39,6 +39,7 @@
 #define ISPC_FUNC_H 1
 
 #include "ispc.h"
+#include "sym.h"
 #include <vector>
 
 class Function {
@@ -51,6 +52,11 @@ public:
     /** Generate LLVM IR for the function into the current module. */
     void GenerateIR();
 
+    /** Checks if the function has polymorphic parameters */
+    const bool IsPolyFunction() const;
+
+    std::vector<Function *> *ExpandPolyArguments(SymbolTable *symbolTable) const;
+
 private:
     void emitCode(FunctionEmitContext *ctx, llvm::Function *function,
                   SourcePos firstStmtPos);

lex.ll

@@ -63,31 +63,28 @@ inline int isatty(int) { return 0; }
 #endif // ISPC_IS_WINDOWS
 
 static int allTokens[] = {
-  TOKEN_ASSERT, TOKEN_BOOL, TOKEN_BREAK, TOKEN_CASE,
+  TOKEN_ASSERT, TOKEN_BOOL, TOKEN_BREAK, TOKEN_CASE, TOKEN_CDO, TOKEN_CFOR,
-  TOKEN_CDO, TOKEN_CFOR, TOKEN_CIF, TOKEN_CWHILE,
+  TOKEN_CIF, TOKEN_CWHILE, TOKEN_CONST, TOKEN_CONTINUE, TOKEN_DEFAULT, TOKEN_DO,
-  TOKEN_CONST, TOKEN_CONTINUE, TOKEN_DEFAULT, TOKEN_DO,
+  TOKEN_DELETE, TOKEN_DOUBLE, TOKEN_ELSE, TOKEN_ENUM, TOKEN_EXPORT,
-  TOKEN_DELETE, TOKEN_DOUBLE, TOKEN_ELSE, TOKEN_ENUM,
+  TOKEN_EXTERN, TOKEN_FALSE, TOKEN_FLOAT, TOKEN_FLOATING, TOKEN_FOR,
-  TOKEN_EXPORT, TOKEN_EXTERN, TOKEN_FALSE, TOKEN_FLOAT, TOKEN_FOR,
   TOKEN_FOREACH, TOKEN_FOREACH_ACTIVE, TOKEN_FOREACH_TILED,
-  TOKEN_FOREACH_UNIQUE, TOKEN_GOTO, TOKEN_IF, TOKEN_IN, TOKEN_INLINE,
+  TOKEN_FOREACH_UNIQUE, TOKEN_GOTO, TOKEN_IF, TOKEN_IN, TOKEN_INLINE, TOKEN_INT,
-  TOKEN_INT, TOKEN_INT8, TOKEN_INT16, TOKEN_INT, TOKEN_INT64, TOKEN_LAUNCH,
+  TOKEN_INT8, TOKEN_INT16, TOKEN_INT, TOKEN_INT64, TOKEN_INTEGER, TOKEN_LAUNCH,
-  TOKEN_NEW, TOKEN_NULL, TOKEN_PRINT, TOKEN_RETURN, TOKEN_SOA, TOKEN_SIGNED,
+  TOKEN_NEW, TOKEN_NULL, TOKEN_NUMBER, TOKEN_PRINT, TOKEN_RETURN, TOKEN_SOA,
-  TOKEN_SIZEOF, TOKEN_STATIC, TOKEN_STRUCT, TOKEN_SWITCH, TOKEN_SYNC,
+  TOKEN_SIGNED, TOKEN_SIZEOF, TOKEN_STATIC, TOKEN_STRUCT, TOKEN_SWITCH,
-  TOKEN_TASK, TOKEN_TRUE, TOKEN_TYPEDEF, TOKEN_UNIFORM, TOKEN_UNMASKED,
+  TOKEN_SYNC, TOKEN_TASK, TOKEN_TRUE, TOKEN_TYPEDEF, TOKEN_UNIFORM,
-  TOKEN_UNSIGNED, TOKEN_VARYING, TOKEN_VOID, TOKEN_WHILE,
+  TOKEN_UNMASKED, TOKEN_UNSIGNED, TOKEN_VARYING, TOKEN_VOID, TOKEN_WHILE,
-  TOKEN_STRING_C_LITERAL, TOKEN_DOTDOTDOT,
+  TOKEN_STRING_C_LITERAL, TOKEN_DOTDOTDOT, TOKEN_FLOAT_CONSTANT,
-  TOKEN_FLOAT_CONSTANT, TOKEN_DOUBLE_CONSTANT,
+  TOKEN_DOUBLE_CONSTANT, TOKEN_INT8_CONSTANT, TOKEN_UINT8_CONSTANT,
-  TOKEN_INT8_CONSTANT, TOKEN_UINT8_CONSTANT,
+  TOKEN_INT16_CONSTANT, TOKEN_UINT16_CONSTANT, TOKEN_INT32_CONSTANT,
-  TOKEN_INT16_CONSTANT, TOKEN_UINT16_CONSTANT,
+  TOKEN_UINT32_CONSTANT, TOKEN_INT64_CONSTANT, TOKEN_UINT64_CONSTANT,
-  TOKEN_INT32_CONSTANT, TOKEN_UINT32_CONSTANT,
-  TOKEN_INT64_CONSTANT, TOKEN_UINT64_CONSTANT,
   TOKEN_INC_OP, TOKEN_DEC_OP, TOKEN_LEFT_OP, TOKEN_RIGHT_OP, TOKEN_LE_OP,
   TOKEN_GE_OP, TOKEN_EQ_OP, TOKEN_NE_OP, TOKEN_AND_OP, TOKEN_OR_OP,
   TOKEN_MUL_ASSIGN, TOKEN_DIV_ASSIGN, TOKEN_MOD_ASSIGN, TOKEN_ADD_ASSIGN,
   TOKEN_SUB_ASSIGN, TOKEN_LEFT_ASSIGN, TOKEN_RIGHT_ASSIGN, TOKEN_AND_ASSIGN,
   TOKEN_XOR_ASSIGN, TOKEN_OR_ASSIGN, TOKEN_PTR_OP,
   ';', '{', '}', ',', ':', '=', '(', ')', '[', ']', '.', '&', '!', '~', '-',
-  '+', '*', '/', '%', '<', '>', '^', '|', '?',
+  '+', '*', '/', '%', '<', '>', '^', '|', '?', '$'
 };
 
 std::map<int, std::string> tokenToName;
@@ -114,6 +111,7 @@ void ParserInit() {
     tokenToName[TOKEN_EXTERN] = "extern";
     tokenToName[TOKEN_FALSE] = "false";
     tokenToName[TOKEN_FLOAT] = "float";
+    tokenToName[TOKEN_FLOATING] = "floating";
     tokenToName[TOKEN_FOR] = "for";
     tokenToName[TOKEN_FOREACH] = "foreach";
     tokenToName[TOKEN_FOREACH_ACTIVE] = "foreach_active";
@@ -127,10 +125,12 @@ void ParserInit() {
     tokenToName[TOKEN_INT8] = "int8";
     tokenToName[TOKEN_INT16] = "int16";
     tokenToName[TOKEN_INT] = "int";
+    tokenToName[TOKEN_INTEGER] = "integer";
     tokenToName[TOKEN_INT64] = "int64";
     tokenToName[TOKEN_LAUNCH] = "launch";
     tokenToName[TOKEN_NEW] = "new";
     tokenToName[TOKEN_NULL] = "NULL";
+    tokenToName[TOKEN_NUMBER] = "number";
     tokenToName[TOKEN_PRINT] = "print";
     tokenToName[TOKEN_RETURN] = "return";
     tokenToName[TOKEN_SOA] = "soa";
@@ -207,6 +207,7 @@ void ParserInit() {
     tokenToName['|'] = "|";
     tokenToName['?'] = "?";
     tokenToName[';'] = ";";
+    tokenToName['$'] = "$";
 
     tokenNameRemap["TOKEN_ASSERT"] = "\'assert\'";
     tokenNameRemap["TOKEN_BOOL"] = "\'bool\'";
@@ -228,6 +229,7 @@ void ParserInit() {
     tokenNameRemap["TOKEN_EXTERN"] = "\'extern\'";
     tokenNameRemap["TOKEN_FALSE"] = "\'false\'";
     tokenNameRemap["TOKEN_FLOAT"] = "\'float\'";
+    tokenNameRemap["TOKEN_FLOATING"] = "\'floating\'";
     tokenNameRemap["TOKEN_FOR"] = "\'for\'";
     tokenNameRemap["TOKEN_FOREACH"] = "\'foreach\'";
     tokenNameRemap["TOKEN_FOREACH_ACTIVE"] = "\'foreach_active\'";
@@ -243,9 +245,11 @@ void ParserInit() {
     tokenNameRemap["TOKEN_INT16"] = "\'int16\'";
     tokenNameRemap["TOKEN_INT"] = "\'int\'";
     tokenNameRemap["TOKEN_INT64"] = "\'int64\'";
+    tokenNameRemap["TOKEN_INTEGER"] = "\'integer\'";
     tokenNameRemap["TOKEN_LAUNCH"] = "\'launch\'";
     tokenNameRemap["TOKEN_NEW"] = "\'new\'";
     tokenNameRemap["TOKEN_NULL"] = "\'NULL\'";
+    tokenNameRemap["TOKEN_NUMBER"] = "\'number\'";
     tokenNameRemap["TOKEN_PRINT"] = "\'print\'";
     tokenNameRemap["TOKEN_RETURN"] = "\'return\'";
     tokenNameRemap["TOKEN_SOA"] = "\'soa\'";
@@ -381,6 +385,7 @@ export { RT; return TOKEN_EXPORT; }
 extern { RT; return TOKEN_EXTERN; }
 false { RT; return TOKEN_FALSE; }
 float { RT; return TOKEN_FLOAT; }
+floating { RT; return TOKEN_FLOATING; }
 for { RT; return TOKEN_FOR; }
 foreach { RT; return TOKEN_FOREACH; }
 foreach_active { RT; return TOKEN_FOREACH_ACTIVE; }
@@ -395,9 +400,11 @@ int8 { RT; return TOKEN_INT8; }
 int16 { RT; return TOKEN_INT16; }
 int32 { RT; return TOKEN_INT; }
 int64 { RT; return TOKEN_INT64; }
+integer { RT; return TOKEN_INTEGER; }
 launch { RT; return TOKEN_LAUNCH; }
 new { RT; return TOKEN_NEW; }
 NULL { RT; return TOKEN_NULL; }
+number { RT; return TOKEN_NUMBER; }
 print { RT; return TOKEN_PRINT; }
 return { RT; return TOKEN_RETURN; }
 soa { RT; return TOKEN_SOA; }
@@ -521,6 +528,7 @@ L?\"(\\.|[^\\"])*\" { lStringConst(&yylval, &yylloc); return TOKEN_STRING_LITERA
 "^"             { RT; return '^'; }
 "|"             { RT; return '|'; }
 "?"             { RT; return '?'; }
+"$"             { RT; return '$'; }
 
 {WHITESPACE} { }
 

module.cpp

@@ -1009,6 +1009,91 @@ Module::AddFunctionDeclaration(const std::string &name,
         }
     }
 
+    /* Handle Polymorphic functions
+     * a function
+     *    int  foo(number n, floating, f)
+     * will produce versions such as
+     *    int foo(int n, float f)
+     *
+     * these functions will be overloaded if they are not exported, or mangled
+     * if exported */
+
+    std::set<const Type *, bool(*)(const Type*, const Type*)> toExpand(&PolyType::Less);
+    std::vector<const FunctionType *> expanded;
+    expanded.push_back(functionType);
+
+    for (int i=0; i<functionType->GetNumParameters(); i++) {
+        const Type *param = functionType->GetParameterType(i);
+        if (param->IsPolymorphicType() &&
+                !toExpand.count(param->GetBaseType())) {
+
+            toExpand.insert(param->GetBaseType());
+        }
+    }
+
+    std::vector<const FunctionType *> nextExpanded;
+    std::set<const Type*>::iterator iter;
+    for (iter = toExpand.begin(); iter != toExpand.end(); iter++) {
+        for (size_t j=0; j<expanded.size(); j++) {
+            const FunctionType *eft = expanded[j];
+
+            const PolyType *pt=CastType<PolyType>(*iter);
+
+            std::vector<AtomicType *>::iterator te;
+            for (te = pt->ExpandBegin(); te != pt->ExpandEnd(); te++) {
+                llvm::SmallVector<const Type *, 8> nargs;
+                llvm::SmallVector<std::string, 8> nargsn;
+                llvm::SmallVector<Expr *, 8> nargsd;
+                llvm::SmallVector<SourcePos, 8> nargsp;
+                for (size_t k=0; k<eft->GetNumParameters(); k++) {
+                    if (Type::Equal(eft->GetParameterType(k)->GetBaseType(),
+                                    pt)) {
+                        const Type *r;
+                        r = PolyType::ReplaceType(eft->GetParameterType(k),*te);
+                        nargs.push_back(r);
+                    } else {
+                        nargs.push_back(eft->GetParameterType(k));
+                    }
+
+                    nargsn.push_back(eft->GetParameterName(k));
+                    nargsd.push_back(eft->GetParameterDefault(k));
+                    nargsp.push_back(eft->GetParameterSourcePos(k));
+                }
+
+                nextExpanded.push_back(new FunctionType(eft->GetReturnType(),
+                                                        nargs,
+                                                        nargsn,
+                                                        nargsd,
+                                                        nargsp,
+                                                        eft->isTask,
+                                                        eft->isExported,
+                                                        eft->isExternC,
+                                                        eft->isUnmasked));
+            }
+        }
+
+        expanded.swap(nextExpanded);
+        nextExpanded.clear();
+    }
+
+    if (expanded.size() > 1) {
+        for (size_t i=0; i<expanded.size(); i++) {
+            std::string nname = name;
+            if (functionType->isExported || functionType->isExternC) {
+                for (int j=0; j<expanded[i]->GetNumParameters(); j++) {
+                    nname += "_";
+                    nname += expanded[i]->GetParameterType(j)->Mangle();
+                }
+            }
+
+
+            symbolTable->MapPolyFunction(name, nname, expanded[i]);
+            AddFunctionDeclaration(nname, expanded[i], storageClass,
+                                        isInline, pos);
+        }
+        return;
+    }
+
     // Get the LLVM FunctionType
     bool disableMask = (storageClass == SC_EXTERN_C);
     llvm::FunctionType *llvmFunctionType =
@@ -1177,14 +1262,7 @@ Module::AddFunctionDefinition(const std::string &name, const FunctionType *type,
 
     sym->pos = code->pos;
 
-    // FIXME: because we encode the parameter names in the function type,
+    ast->AddFunction(sym, code, symbolTable);
-    // we need to override the function type here in case the function had
-    // earlier been declared with anonymous parameter names but is now
-    // defined with actual names.  This is yet another reason we shouldn't
-    // include the names in FunctionType...
-    sym->type = type;
-
-    ast->AddFunction(sym, code);
 }
 
 
@@ -1899,6 +1977,27 @@ lPrintFunctionDeclarations(FILE *file, const std::vector<Symbol *> &funcs,
     // fprintf(file, "#ifdef __cplusplus\n} /* end extern C */\n#endif // __cplusplus\n");
 }
 
+static void
+lPrintPolyFunctionWrappers(FILE *file, const std::vector<std::string> &funcs) {
+    fprintf(file, "#if defined(__cplusplus)\n");
+
+    for (size_t i=0; i<funcs.size(); i++) {
+        std::vector<Symbol *> poly = m->symbolTable->LookupPolyFunction(funcs[i].c_str());
+
+        for (size_t j=0; j<poly.size(); j++) {
+            const FunctionType *ftype = CastType<FunctionType>(poly[j]->type);
+            Assert(ftype);
+            std::string decl = ftype->GetCDeclaration(funcs[i]);
+            fprintf(file, "    %s {\n", decl.c_str());
+
+            std::string call = ftype->GetCCall(poly[j]->name);
+            fprintf(file, "        return %s;\n    }\n", call.c_str());
+        }
+    }
+
+    fprintf(file, "#endif // __cplusplus\n");
+}
+
 
 
 
@@ -2275,8 +2374,10 @@ Module::writeHeader(const char *fn) {
     // Collect single linear arrays of the exported and extern "C"
     // functions
     std::vector<Symbol *> exportedFuncs, externCFuncs;
+    std::vector<std::string> polyFuncs;
     m->symbolTable->GetMatchingFunctions(lIsExported, &exportedFuncs);
     m->symbolTable->GetMatchingFunctions(lIsExternC, &externCFuncs);
+    m->symbolTable->GetPolyFunctions(&polyFuncs);
 
     // Get all of the struct, vector, and enumerant types used as function
     // parameters.  These vectors may have repeats.
@@ -2313,6 +2414,16 @@ Module::writeHeader(const char *fn) {
         fprintf(f, "///////////////////////////////////////////////////////////////////////////\n");
         lPrintFunctionDeclarations(f, exportedFuncs);
     }
+
+    // emit wrappers for polymorphic functions
+    if (polyFuncs.size() > 0) {
+        fprintf(f, "\n");
+        fprintf(f, "///////////////////////////////////////////////////////////////////////////\n");
+        fprintf(f, "// Polymorphic function wrappers\n");
+        fprintf(f, "///////////////////////////////////////////////////////////////////////////\n");
+        lPrintPolyFunctionWrappers(f, polyFuncs);
+    }
+
 #if 0
     if (externCFuncs.size() > 0) {
         fprintf(f, "\n");

parse.yy

@@ -118,21 +118,20 @@ static void lFinalizeEnumeratorSymbols(std::vector<Symbol *> &enums,
                                        const EnumType *enumType);
 
 static const char *lBuiltinTokens[] = {
-    "assert", "bool", "break", "case", "cdo",
+    "assert", "bool", "break", "case", "cdo", "cfor", "cif", "cwhile", "const",
-    "cfor", "cif", "cwhile", "const", "continue", "default",
+    "continue", "default", "do", "delete", "double", "else", "enum", "export",
-    "do", "delete", "double", "else", "enum", "export", "extern", "false",
+    "extern", "false", "float", "floating", "for", "foreach", "foreach_active",
-    "float", "for", "foreach", "foreach_active", "foreach_tiled",
+    "foreach_tiled", "foreach_unique", "goto", "if", "in", "inline", "int",
-     "foreach_unique", "goto", "if", "in", "inline",
+    "int8", "int16", "int32", "int64", "integer", "launch", "new", "NULL",
-    "int", "int8", "int16", "int32", "int64", "launch", "new", "NULL",
+    "number", "print", "return", "signed", "sizeof", "static", "struct",
-    "print", "return", "signed", "sizeof", "static", "struct", "switch",
+    "switch", "sync", "task", "true", "typedef", "uniform", "unmasked",
-    "sync", "task", "true", "typedef", "uniform", "unmasked", "unsigned",
+    "unsigned", "varying", "void", "while", NULL
-    "varying", "void", "while", NULL
 };
 
 static const char *lParamListTokens[] = {
-    "bool", "const", "double", "enum", "false", "float", "int",
+    "bool", "const", "double", "enum", "false", "float", "floating", "int",
-    "int8", "int16", "int32", "int64", "signed", "struct", "true",
+    "int8", "int16", "int32", "int64", "integer", "number", "signed", "struct",
-    "uniform", "unsigned", "varying", "void", NULL
+    "true", "uniform", "unsigned", "varying", "void", NULL
 };
 
 struct ForeachDimension {
@@ -159,6 +158,7 @@ struct ForeachDimension {
     const Type *type;
     std::vector<std::pair<const Type *, SourcePos> > *typeList;
     const AtomicType *atomicType;
+    const PolyType *polyType;
     int typeQualifier;
     StorageClass storageClass;
     Stmt *stmt;
@@ -198,6 +198,7 @@ struct ForeachDimension {
 %token TOKEN_EXTERN TOKEN_EXPORT TOKEN_STATIC TOKEN_INLINE TOKEN_TASK TOKEN_DECLSPEC
 %token TOKEN_UNIFORM TOKEN_VARYING TOKEN_TYPEDEF TOKEN_SOA TOKEN_UNMASKED
 %token TOKEN_CHAR TOKEN_INT TOKEN_SIGNED TOKEN_UNSIGNED TOKEN_FLOAT TOKEN_DOUBLE
+%token TOKEN_INTEGER TOKEN_FLOATING TOKEN_NUMBER
 %token TOKEN_INT8 TOKEN_INT16 TOKEN_INT64 TOKEN_CONST TOKEN_VOID TOKEN_BOOL
 %token TOKEN_ENUM TOKEN_STRUCT TOKEN_TRUE TOKEN_FALSE
 
@@ -244,6 +245,7 @@ struct ForeachDimension {
 %type <type> short_vec_specifier
 %type <typeList> type_specifier_list
 %type <atomicType> atomic_var_type_specifier
+%type <polyType> poly_type_specifier poly_quant_type_specifier
 
 %type <typeQualifier> type_qualifier type_qualifier_list
 %type <storageClass> storage_class_specifier
@@ -908,6 +910,7 @@ storage_class_specifier
 
 type_specifier
     : atomic_var_type_specifier { $$ = $1; }
+    | poly_quant_type_specifier { $$ = $1; }
     | TOKEN_TYPE_NAME
     {
         const Type *t = m->symbolTable->LookupType(yytext);
@@ -950,6 +953,20 @@ atomic_var_type_specifier
     | TOKEN_INT64 { $$ = AtomicType::UniformInt64->GetAsUnboundVariabilityType(); }
     ;
 
+poly_type_specifier
+    : TOKEN_FLOATING { $$ = PolyType::UniformFloating->GetAsUnboundVariabilityType(); }
+    | TOKEN_INTEGER { $$ = PolyType::UniformInteger->GetAsUnboundVariabilityType(); }
+    | TOKEN_NUMBER { $$ = PolyType::UniformNumber->GetAsUnboundVariabilityType(); }
+    ;
+
+poly_quant_type_specifier
+    : poly_type_specifier '$' int_constant
+    {
+        $$ = $1->Quantify($3);
+    }
+    | poly_type_specifier { $$ = $1; }
+    ;
+
 short_vec_specifier
     : atomic_var_type_specifier '<' int_constant '>'
     {

stmt.cpp

@@ -77,6 +77,11 @@ Stmt::Optimize() {
     return this;
 }
 
+Stmt *
+Stmt::ReplacePolyType(const PolyType *polyType, const Type *replacement) {
+    return this;
+}
+
 
 ///////////////////////////////////////////////////////////////////////////
 // ExprStmt
@@ -494,6 +499,18 @@ DeclStmt::TypeCheck() {
     return encounteredError ? NULL : this;
 }
 
+Stmt *
+DeclStmt::ReplacePolyType(const PolyType *from, const Type *to) {
+    for (size_t i = 0; i < vars.size(); i++) {
+        Symbol *s = vars[i].sym;
+        if (Type::EqualForReplacement(s->type->GetBaseType(), from)) {
+            s->type = PolyType::ReplaceType(s->type, to);
+        }
+    }
+
+    return this;
+}
+
 
 void
 DeclStmt::Print(int indent) const {
@@ -2174,6 +2191,21 @@ ForeachStmt::TypeCheck() {
     return anyErrors ? NULL : this;
 }
 
+Stmt *
+ForeachStmt::ReplacePolyType(const PolyType *from, const Type *to) {
+    if (!stmts)
+        return NULL;
+
+    for (size_t i=0; i<dimVariables.size(); i++) {
+        const Type *t = dimVariables[i]->type;
+        if (Type::EqualForReplacement(t->GetBaseType(), from)) {
+            t = PolyType::ReplaceType(t, to);
+        }
+    }
+
+    return this;
+}
+
 
 int
 ForeachStmt::EstimateCost() const {

stmt.h

@@ -70,6 +70,7 @@ public:
     // Stmts don't have anything to do here.
     virtual Stmt *Optimize();
     virtual Stmt *TypeCheck() = 0;
+    Stmt *ReplacePolyType(const PolyType *polyType, const Type *replacement);
 };
 
 
@@ -117,6 +118,7 @@ public:
 
     Stmt *Optimize();
     Stmt *TypeCheck();
+    Stmt *ReplacePolyType(const PolyType *from, const Type *to);
     int EstimateCost() const;
 
     std::vector<VariableDeclaration> vars;
@@ -281,6 +283,7 @@ public:
     void Print(int indent) const;
 
     Stmt *TypeCheck();
+    Stmt *ReplacePolyType(const PolyType *from, const Type *to);
     int EstimateCost() const;
 
     std::vector<Symbol *> dimVariables;

sym.cpp

@@ -157,6 +157,14 @@ SymbolTable::AddFunction(Symbol *symbol) {
     return true;
 }
 
+void
+SymbolTable::MapPolyFunction(std::string name, std::string polyname,
+                             const FunctionType *type) {
+    std::vector<Symbol *> &polyExpansions = polyFunctions[name];
+    SourcePos p;
+    polyExpansions.push_back(new Symbol(polyname, p, type, SC_NONE));
+}
+
 
 bool
 SymbolTable::LookupFunction(const char *name, std::vector<Symbol *> *matches) {
@@ -184,9 +192,28 @@ SymbolTable::LookupFunction(const char *name, const FunctionType *type) {
                 return funcs[j];
         }
     }
+    // Try looking for a polymorphic function
+    if (polyFunctions[name].size() > 0) {
+        std::string n = name;
+        return new Symbol(name, polyFunctions[name][0]->pos, type);
+    }
+
     return NULL;
 }
 
+std::vector<Symbol *>&
+SymbolTable::LookupPolyFunction(const char *name) {
+    return polyFunctions[name];
+}
+
+void
+SymbolTable::GetPolyFunctions(std::vector<std::string> *funcs) {
+    FunctionMapType::iterator it = polyFunctions.begin();
+    for (; it != polyFunctions.end(); it++) {
+        funcs->push_back(it->first);
+    }
+}
+
 
 bool
 SymbolTable::AddType(const char *name, const Type *type, SourcePos pos) {

sym.h

@@ -108,6 +108,7 @@ public:
 };
 
 
+
 /** @brief Symbol table that holds all known symbols during parsing and compilation.
 
     A single instance of a SymbolTable is stored in the Module class
@@ -159,6 +160,14 @@ public:
         already present in the symbol table. */
     bool AddFunction(Symbol *symbol);
 
+    /** Adds the given function to the list of polymorphic definitions for the
+        given name
+        @param name The name of the original function
+        @param type The expanded FunctionType */
+
+    void MapPolyFunction(std::string name, std::string polyname,
+                         const FunctionType *type);
+
     /** Looks for the function or functions with the given name in the
         symbol name.  If a function has been overloaded and multiple
         definitions are present for a given function name, all of them will
@@ -174,6 +183,10 @@ public:
         @return pointer to matching Symbol; NULL if none is found. */
     Symbol *LookupFunction(const char *name, const FunctionType *type);
 
+    std::vector<Symbol *>& LookupPolyFunction(const char *name);
+
+    void GetPolyFunctions(std::vector<std::string> *funcs);
+
     /** Returns all of the functions in the symbol table that match the given
         predicate.
 
@@ -276,6 +289,8 @@ private:
     typedef std::map<std::string, std::vector<Symbol *> > FunctionMapType;
     FunctionMapType functions;
 
+    FunctionMapType polyFunctions;
+
     /** Type definitions can't currently be scoped.
      */
     typedef std::map<std::string, const Type *> TypeMapType;

tests_ispcpp/Makefile

@@ -0,0 +1,13 @@
+CXX=g++
+CXXFLAGS=-std=c++11
+
+ISPC=../ispc
+ISPCFLAGS=--target=sse4-x2 -O2 --arch=x86-64
+
+%.out : %.cpp %.o
+	$(CXX) $(CXXFLAGS) -o $@ $^
+
+$ : $.o
+
+%.o : %.ispc
+	$(ISPC) $(ISPCFLAGS) -h $*.h -o $*.o $<

tests_ispcpp/error_0.ispc

@@ -0,0 +1,6 @@
+//@error
+//assigning mismatched polymorphic types
+
+export void foo(uniform floating$0 bar) {
+    floating$1 baz = bar;
+}

tests_ispcpp/error_1.ispc

@@ -0,0 +1,6 @@
+//@error
+//assigning mismatched polymorphic types
+
+export void foo(floating$0 bar) {
+    floating baz = bar;
+}

tests_ispcpp/error_2.ispc

@@ -0,0 +1,6 @@
+//@error
+//assigning mismatched polymorphic types
+
+export void foo(uniform floating$0 bar) {
+    integer baz = bar;
+}

tests_ispcpp/error_3.ispc

@@ -0,0 +1,6 @@
+//@error
+//assigning mismatched polymorphic types
+
+export void foo(number$0 bar) {
+    integer baz = bar;
+}

tests_ispcpp/error_4.ispc

@@ -0,0 +1,19 @@
+//@error
+// cannot determine return type for mult
+
+
+floating mult(floating$0 x, floating$1 y) {
+    return x * y;
+}
+
+export void saxpy(uniform int N,
+                  uniform floating$0 scale,
+                  uniform floating$1 X[],
+                  uniform floating$1 Y[],
+                  uniform floating$2 result[])
+{
+    foreach (i = 0 ... N) {
+        floating$2 tmp = mult(scale, X[i]) + Y[i];
+        result[i] = tmp;
+    }
+}

tests_ispcpp/function.ispc

@@ -0,0 +1,17 @@
+floating saxpy_helper(floating scale,
+                      floating<0> x,
+                      floating<0> y) {
+    return scale * x + y;
+}
+
+
+export void saxpy(uniform int N,
+                  uniform floating<0> scale,
+                  uniform floating<1> X[],
+                  uniform floating<1> Y[],
+                  uniform floating<2> result[])
+{
+    foreach (i = 0 ... N) {
+        result[i] = saxpy_helper(scale, X[i], Y[i]);
+    }
+}

tests_ispcpp/hello.ispc

@@ -1,11 +1,11 @@
 export void saxpy(uniform int N,
-                  uniform floating<0> scale,
+                  uniform floating$0 scale,
-                  uniform floating<1> X[],
+                  uniform floating$1 X[],
-                  uniform floating<1> Y[],
+                  uniform floating$1 Y[],
-                  uniform floating<2> result[])
+                  uniform floating$2 result[])
 {
     foreach (i = 0 ... N) {
-        floating<2> tmp = scale * X[i] + Y[i];
+        floating$2 tmp = scale * X[i] + Y[i];
         result[i] = tmp;
     }
 }

tests_ispcpp/simple.ispc

@@ -0,0 +1,6 @@
+export void foo(uniform int N, uniform floating$1 X[])
+{
+    foreach (i = 0 ... N) {
+        X[i] = X[i] + 1.0;
+    }
+}

type.cpp

@@ -247,6 +247,20 @@ Type::IsVoidType() const {
     return EqualIgnoringConst(this, AtomicType::Void);
 }
 
+bool
+Type::IsPolymorphicType() const {
+    const FunctionType *ft = CastType<FunctionType>(this);
+    if (ft) {
+        for (int i=0; i<ft->GetNumParameters(); i++) {
+            if (ft->GetParameterType(i)->IsPolymorphicType())
+                return true;
+        }
+
+        return false;
+    }
+    return (CastType<PolyType>(GetBaseType()) != NULL);
+}
+
 bool
 AtomicType::IsFloatType() const {
     return (basicType == TYPE_FLOAT || basicType == TYPE_DOUBLE);
@@ -673,6 +687,452 @@ llvm::DIType *AtomicType::GetDIType(llvm::DIScope *scope) const {
     }
 }
 
+///////////////////////////////////////////////////////////////////////////
+// PolyType
+
+const PolyType *PolyType::UniformInteger =
+    new PolyType(PolyType::TYPE_INTEGER, Variability::Uniform, false);
+const PolyType *PolyType::VaryingInteger =
+    new PolyType(PolyType::TYPE_INTEGER, Variability::Varying, false);
+const PolyType *PolyType::UniformFloating =
+    new PolyType(PolyType::TYPE_FLOATING, Variability::Uniform, false);
+const PolyType *PolyType::VaryingFloating =
+    new PolyType(PolyType::TYPE_FLOATING, Variability::Varying, false);
+const PolyType *PolyType::UniformNumber =
+    new PolyType(PolyType::TYPE_NUMBER, Variability::Uniform, false);
+const PolyType *PolyType::VaryingNumber =
+    new PolyType(PolyType::TYPE_NUMBER, Variability::Varying, false);
+
+const Type *
+PolyType::ReplaceType(const Type *from, const Type *to) {
+    const Type *t = to;
+
+    if (from->IsPointerType()) {
+        t = new PointerType(to,
+                            from->GetVariability(),
+                            from->IsConstType());
+    } else if (from->IsArrayType()) {
+        t = new ArrayType(to,
+                          CastType<ArrayType>(from)->GetElementCount());
+    } else if (from->IsReferenceType()) {
+        t = new ReferenceType(to);
+    }
+
+    if (from->IsVaryingType())
+        t = t->GetAsVaryingType();
+
+    fprintf(stderr, "Replacing type \"%s\" with \"%s\"\n",
+            from->GetString().c_str(),
+            t->GetString().c_str());
+
+    return t;
+}
+
+bool
+PolyType::Less(const Type *a, const Type *b) {
+    const PolyType *pa = CastType<PolyType>(a->GetBaseType());
+    const PolyType *pb = CastType<PolyType>(b->GetBaseType());
+
+    if (!pa || !pb) {
+        char buf[1024];
+        snprintf(buf, 1024, "Calling lPolyTypeLess on non-polymorphic types"
+               "\"%s\" and \"%s\"\n",
+                a->GetString().c_str(), b->GetString().c_str());
+        FATAL(buf);
+    }
+
+
+    if (pa->restriction < pb->restriction)
+        return true;
+    if (pa->restriction > pb->restriction)
+        return false;
+
+    if (pa->GetQuant() < pb->GetQuant())
+        return true;
+
+    return false;
+}
+
+PolyType::PolyType(PolyRestriction r, Variability v, bool ic)
+    : Type(POLY_TYPE), restriction(r), variability(v), isConst(ic), quant(-1) {
+    asOtherConstType = NULL;
+    asUniformType = asVaryingType = NULL;
+    expandedTypes = NULL;
+}
+
+PolyType::PolyType(PolyRestriction r, Variability v, bool ic, int q)
+    : Type(POLY_TYPE), restriction(r), variability(v), isConst(ic), quant(q) {
+    asOtherConstType = NULL;
+    asUniformType = asVaryingType = NULL;
+    expandedTypes = NULL;
+}
+
+
+Variability
+PolyType::GetVariability() const {
+    return variability;
+}
+
+int
+PolyType::GetQuant() const {
+    return quant;
+}
+
+
+bool
+PolyType::IsFloatType() const {
+    return (restriction == TYPE_FLOATING);
+}
+
+bool
+PolyType::IsIntType() const {
+    return (restriction == TYPE_INTEGER);
+}
+
+
+bool
+PolyType::IsUnsignedType() const {
+    return false;
+}
+
+
+bool
+PolyType::IsBoolType() const {
+    return false;
+}
+
+
+bool
+PolyType::IsConstType() const {
+    return isConst;
+}
+
+
+const PolyType *
+PolyType::GetAsUnsignedType() const {
+    return NULL;
+}
+
+
+const PolyType *
+PolyType::GetAsConstType() const {
+    if (isConst == true)
+        return this;
+
+    if (asOtherConstType == NULL) {
+        asOtherConstType = new PolyType(restriction, variability, true, quant);
+        asOtherConstType->asOtherConstType = this;
+    }
+    return asOtherConstType;
+}
+
+
+const PolyType *
+PolyType::GetAsNonConstType() const {
+    if (isConst == false)
+        return this;
+
+    if (asOtherConstType == NULL) {
+        asOtherConstType = new PolyType(restriction, variability, false, quant);
+        asOtherConstType->asOtherConstType = this;
+    }
+    return asOtherConstType;
+}
+
+
+const PolyType *
+PolyType::GetBaseType() const {
+    return this;
+}
+
+
+const PolyType *
+PolyType::GetAsVaryingType() const {
+    if (variability == Variability::Varying)
+        return this;
+
+    if (asVaryingType == NULL) {
+        asVaryingType = new PolyType(restriction, Variability::Varying,
+                                     isConst, quant);
+        if (variability == Variability::Uniform)
+            asVaryingType->asUniformType = this;
+    }
+    return asVaryingType;
+}
+
+
+const PolyType *
+PolyType::GetAsUniformType() const {
+    if (variability == Variability::Uniform)
+        return this;
+
+    if (asUniformType == NULL) {
+        asUniformType = new PolyType(restriction, Variability::Uniform,
+                                     isConst, quant);
+        if (variability == Variability::Varying)
+            asUniformType->asVaryingType = this;
+    }
+    return asUniformType;
+}
+
+const std::vector<AtomicType *>::iterator
+PolyType::ExpandBegin() const {
+    if (expandedTypes)
+        return expandedTypes->begin();
+
+    expandedTypes = new std::vector<AtomicType *>();
+
+    if (restriction == TYPE_INTEGER || restriction == TYPE_NUMBER) {
+        expandedTypes->push_back(new AtomicType(AtomicType::TYPE_INT8, variability, isConst));
+        expandedTypes->push_back(new AtomicType(AtomicType::TYPE_UINT8, variability, isConst));
+        expandedTypes->push_back(new AtomicType(AtomicType::TYPE_INT16, variability, isConst));
+        expandedTypes->push_back(new AtomicType(AtomicType::TYPE_UINT16, variability, isConst));
+        expandedTypes->push_back(new AtomicType(AtomicType::TYPE_INT32, variability, isConst));
+        expandedTypes->push_back(new AtomicType(AtomicType::TYPE_UINT32, variability, isConst));
+        expandedTypes->push_back(new AtomicType(AtomicType::TYPE_INT64, variability, isConst));
+        expandedTypes->push_back(new AtomicType(AtomicType::TYPE_UINT64, variability, isConst));
+    }
+    if (restriction == TYPE_FLOATING || restriction == TYPE_NUMBER) {
+        expandedTypes->push_back(new AtomicType(AtomicType::TYPE_FLOAT, variability, isConst));
+        expandedTypes->push_back(new AtomicType(AtomicType::TYPE_DOUBLE, variability, isConst));
+    }
+
+    return expandedTypes->begin();
+}
+
+const std::vector<AtomicType *>::iterator
+PolyType::ExpandEnd() const {
+    Assert(expandedTypes != NULL);
+
+    return expandedTypes->end();
+}
+
+
+
+const PolyType *
+PolyType::GetAsUnboundVariabilityType() const {
+    if (variability == Variability::Unbound)
+        return this;
+    return new PolyType(restriction, Variability::Unbound, isConst, quant);
+}
+
+
+const PolyType *
+PolyType::GetAsSOAType(int width) const {
+    if (variability == Variability(Variability::SOA, width))
+        return this;
+    return new PolyType(restriction, Variability(Variability::SOA, width),
+                        isConst, quant);
+}
+
+
+const PolyType *
+PolyType::ResolveUnboundVariability(Variability v) const {
+    Assert(v != Variability::Unbound);
+    if (variability != Variability::Unbound)
+        return this;
+    return new PolyType(restriction, v, isConst, quant);
+}
+
+const PolyType *
+PolyType::Quantify(int q) const {
+    return new PolyType(restriction, variability, isConst, q);
+}
+
+bool
+PolyType::CanBeType(const Type *t) const {
+    const PolyType *pt = CastType<PolyType>(t);
+    if (pt) {
+        return (restriction == pt->restriction ||
+                restriction == TYPE_NUMBER);
+    }
+
+    const AtomicType *at = CastType<AtomicType>(t);
+
+    if (at) {
+        switch (restriction) {
+            case TYPE_INTEGER:
+                return at->IsIntType();
+            case TYPE_FLOATING:
+                return at->IsFloatType();
+            case TYPE_NUMBER:
+                return at->IsIntType() || at->IsFloatType();
+            default:
+                FATAL("Unmatched case for polymorphic restriction");
+        }
+    }
+
+    // not an atomic type or polymorphic type
+    return false;
+}
+
+
+std::string
+PolyType::GetString() const {
+    std::string ret;
+    if (isConst)   ret += "const ";
+
+    ret += variability.GetString();
+    ret += " ";
+
+    switch (restriction) {
+    case TYPE_INTEGER:    ret += "integer";     break;
+    case TYPE_FLOATING:   ret += "floating";    break;
+    case TYPE_NUMBER:     ret += "number";      break;
+    default: FATAL("Logic error in PolyType::GetString()");
+    }
+
+    if (quant >= 0) {
+        ret += "$";
+        ret += std::to_string(quant);
+    }
+
+    return ret;
+}
+
+
+std::string
+PolyType::Mangle() const {
+    std::string ret;
+    if (isConst)   ret += "C";
+    ret += variability.MangleString();
+
+    switch (restriction) {
+    case TYPE_INTEGER:    ret += "Z";   break;
+    case TYPE_FLOATING:   ret += "Q";   break;
+    case TYPE_NUMBER:     ret += "R";   break;
+    default: FATAL("Logic error in PolyType::Mangle()");
+    }
+    return ret;
+}
+
+
+std::string
+PolyType::GetCDeclaration(const std::string &name) const {
+    std::string ret;
+    if (variability == Variability::Unbound) {
+        Assert(m->errorCount > 0);
+        return ret;
+    }
+    if (isConst) ret += "const ";
+
+    switch (restriction) {
+    case TYPE_INTEGER:    ret += "int32_t";   break;
+    case TYPE_FLOATING:   ret += "double";    break;
+    case TYPE_NUMBER:     ret += "double";    break;
+    default: FATAL("Logic error in PolyType::GetCDeclaration()");
+    }
+
+    if (lShouldPrintName(name)) {
+        ret += " ";
+        ret += name;
+    }
+
+    if (variability == Variability::SOA) {
+        char buf[32];
+        sprintf(buf, "[%d]", variability.soaWidth);
+        ret += buf;
+    }
+
+    return ret;
+}
+
+
+llvm::Type *
+PolyType::LLVMType(llvm::LLVMContext *ctx) const {
+    Assert(variability.type != Variability::Unbound);
+    bool isUniform = (variability == Variability::Uniform);
+    bool isVarying = (variability == Variability::Varying);
+
+    if (isUniform || isVarying) {
+        switch (restriction) {
+        case TYPE_INTEGER:
+            return isUniform ? LLVMTypes::Int32Type : LLVMTypes::Int32VectorType;
+        case TYPE_FLOATING:
+        case TYPE_NUMBER:
+            return isUniform ? LLVMTypes::DoubleType : LLVMTypes::DoubleVectorType;
+        default:
+            FATAL("logic error in PolyType::LLVMType");
+            return NULL;
+        }
+    }
+    else {
+        ArrayType at(GetAsUniformType(), variability.soaWidth);
+        return at.LLVMType(ctx);
+    }
+}
+
+
+#if ISPC_LLVM_VERSION <= ISPC_LLVM_3_6
+llvm::DIType PolyType::GetDIType(llvm::DIDescriptor scope) const {
+#else //LLVM 3.7++
+llvm::DIType *PolyType::GetDIType(llvm::DIScope *scope) const {
+#endif
+    Assert(variability.type != Variability::Unbound);
+
+    if (variability.type == Variability::Uniform) {
+        switch (restriction) {
+#if ISPC_LLVM_VERSION <= ISPC_LLVM_3_9
+        case TYPE_INTEGER:
+            return m->diBuilder->createBasicType("int32", 32 /* size */, 32 /* align */,
+                                                 llvm::dwarf::DW_ATE_signed);
+            break;
+        case TYPE_FLOATING:
+        case TYPE_NUMBER:
+            return m->diBuilder->createBasicType("double", 64 /* size */, 64 /* align */,
+                                                 llvm::dwarf::DW_ATE_float);
+            break;
+#else // LLVM 4.0+
+        case TYPE_INTEGER:
+            return m->diBuilder->createBasicType("int32", 32 /* size */,
+                                                 llvm::dwarf::DW_ATE_signed);
+            break;
+        case TYPE_FLOATING:
+        case TYPE_NUMBER:
+            return m->diBuilder->createBasicType("double", 64 /* size */,
+                                                 llvm::dwarf::DW_ATE_float);
+            break;
+#endif
+
+        default:
+            FATAL("unhandled basic type in PolyType::GetDIType()");
+#if ISPC_LLVM_VERSION <= ISPC_LLVM_3_6
+            return llvm::DIType();
+#else //LLVM 3.7+
+            return NULL;
+#endif
+        }
+    }
+    else if (variability == Variability::Varying) {
+#if ISPC_LLVM_VERSION == ISPC_LLVM_3_2
+        llvm::Value *sub = m->diBuilder->getOrCreateSubrange(0, g->target->getVectorWidth()-1);
+#elif ISPC_LLVM_VERSION > ISPC_VERSION_3_2 && ISPC_LLVM_VERSION <= ISPC_LLVM_3_5
+        llvm::Value *sub = m->diBuilder->getOrCreateSubrange(0, g->target->getVectorWidth());
+#else // LLVM 3.6+
+        llvm::Metadata *sub = m->diBuilder->getOrCreateSubrange(0, g->target->getVectorWidth());
+#endif
+#if ISPC_LLVM_VERSION > ISPC_VERSION_3_2 && ISPC_LLVM_VERSION <= ISPC_LLVM_3_6
+        llvm::DIArray subArray = m->diBuilder->getOrCreateArray(sub);
+        llvm::DIType unifType = GetAsUniformType()->GetDIType(scope);
+        uint64_t size =  unifType.getSizeInBits()  * g->target->getVectorWidth();
+        uint64_t align = unifType.getAlignInBits() * g->target->getVectorWidth();
+#else // LLVM 3.7+
+        llvm::DINodeArray subArray = m->diBuilder->getOrCreateArray(sub);
+        llvm::DIType *unifType = GetAsUniformType()->GetDIType(scope);
+        //llvm::DebugNodeArray subArray = m->diBuilder->getOrCreateArray(sub);
+        //llvm::MDType *unifType = GetAsUniformType()->GetDIType(scope);
+        uint64_t size =  unifType->getSizeInBits() * g->target->getVectorWidth();
+        uint64_t align = unifType->getAlignInBits()* g->target->getVectorWidth();
+#endif
+        return m->diBuilder->createVectorType(size, align, unifType, subArray);
+    }
+    else {
+        Assert(variability == Variability::SOA);
+        ArrayType at(GetAsUniformType(), variability.soaWidth);
+        return at.GetDIType(scope);
+    }
+}
+
 
 ///////////////////////////////////////////////////////////////////////////
 // EnumType
@@ -3134,6 +3594,34 @@ FunctionType::GetCDeclaration(const std::string &fname) const {
     return ret;
 }
 
+std::string
+FunctionType::GetCCall(const std::string &fname) const {
+    std::string ret;
+    ret += fname;
+    ret += "(";
+    for (unsigned int i = 0; i < paramTypes.size(); ++i) {
+        const Type *type = paramTypes[i];
+
+        // Convert pointers to arrays to unsized arrays, which are more clear
+        // to print out for multidimensional arrays (i.e. "float foo[][4] "
+        // versus "float (foo *)[4]").
+        const PointerType *pt = CastType<PointerType>(type);
+        if (pt != NULL &&
+            CastType<ArrayType>(pt->GetBaseType()) != NULL) {
+            type = new ArrayType(pt->GetBaseType(), 0);
+        }
+
+        if (paramNames[i] != "")
+          ret += paramNames[i];
+        else
+            FATAL("Exporting a polymorphic function with incomplete arguments");
+        if (i != paramTypes.size() - 1)
+          ret += ", ";
+    }
+    ret += ")";
+    return ret;
+}
+
 
 std::string
 FunctionType::GetCDeclarationForDispatch(const std::string &fname) const {
@@ -3554,6 +4042,24 @@ Type::MoreGeneralType(const Type *t0, const Type *t1, SourcePos pos, const char
         }
     }
 
+    const PolyType *pyt0 = CastType<PolyType>(t0);
+    const PolyType *pyt1 = CastType<PolyType>(t1);
+
+    if (pyt0 || pyt1) {
+        // one of the types is polymorphic
+        if (pyt0 && pyt0->CanBeType(t1)) {
+            return pyt0;
+        } else if (pyt1 && pyt1->CanBeType(t0)) {
+            return pyt1;
+        } else {
+            // polymorphic type cannot represent the other type
+            // this is most likely bad
+            Error(pos, "Polymorphic type incompatible for \"%s\" and \"%s\""
+                  " for %s.", t0->GetString().c_str(),
+                  t1->GetString().c_str(), reason);
+        }
+    }
+
     // Now all we can do is promote atomic types...
     if (at0 == NULL || at1 == NULL) {
         Assert(reason != NULL);
@@ -3592,6 +4098,14 @@ lCheckTypeEquality(const Type *a, const Type *b, bool ignoreConst) {
                 (ata->GetVariability() == atb->GetVariability()));
     }
 
+    const PolyType *pyta = CastType<PolyType>(a);
+    const PolyType *pytb = CastType<PolyType>(b);
+    if (pyta != NULL && pytb != NULL) {
+        return ((pyta->restriction == pytb->restriction) &&
+                (pyta->GetVariability() == pytb->GetVariability()) &&
+                (pyta->GetQuant() == pytb->GetQuant()));
+    }
+
     // For all of the other types, we need to see if we have the same two
     // general types.  If so, then we dig into the details of the type and
     // see if all of the relevant bits are equal...
@@ -3688,3 +4202,16 @@ bool
 Type::EqualIgnoringConst(const Type *a, const Type *b) {
     return lCheckTypeEquality(a, b, true);
 }
+
+bool
+Type::EqualForReplacement(const Type *a, const Type *b) {
+    const PolyType *pa = CastType<PolyType>(a);
+    const PolyType *pb = CastType<PolyType>(b);
+
+
+    if (!pa || !pb)
+        return false;
+
+    return pa->restriction == pb->restriction &&
+           pa->GetQuant() == pb->GetQuant();
+}

type.h

@@ -89,7 +89,8 @@ enum TypeId {
   STRUCT_TYPE,           // 5
   UNDEFINED_STRUCT_TYPE, // 6
   REFERENCE_TYPE,        // 7
-  FUNCTION_TYPE          // 8
+  FUNCTION_TYPE,         // 8
+  POLY_TYPE              // 9
 };
 
 
@@ -132,6 +133,9 @@ public:
     /** Returns true if the underlying type is either a pointer or an array */
     bool IsVoidType() const;
 
+    /** Returns true if the underlying type is polymorphic */
+    bool IsPolymorphicType() const;
+
     /** Returns true if this type is 'const'-qualified. */
     virtual bool IsConstType() const = 0;
 
@@ -240,6 +244,8 @@ public:
         the same (ignoring const-ness of the type), false otherwise. */
     static bool EqualIgnoringConst(const Type *a, const Type *b);
 
+    static bool EqualForReplacement(const Type *a, const Type *b);
+
     /** Given two types, returns the least general Type that is more general
         than both of them.  (i.e. that can represent their values without
         any loss of data.)  If there is no such Type, return NULL.
@@ -356,14 +362,84 @@ public:
     static const AtomicType *UniformDouble, *VaryingDouble;
     static const AtomicType *Void;
 
+    AtomicType(BasicType basicType, Variability v, bool isConst);
 private:
     const Variability variability;
     const bool isConst;
-    AtomicType(BasicType basicType, Variability v, bool isConst);
 
     mutable const AtomicType *asOtherConstType, *asUniformType, *asVaryingType;
 };
 
+class PolyType : public Type {
+public:
+    Variability GetVariability() const;
+    int GetQuant() const;
+
+    bool IsBoolType() const;
+    bool IsFloatType() const;
+    bool IsIntType() const;
+    bool IsUnsignedType() const;
+    bool IsConstType() const;
+
+    const PolyType *GetBaseType() const;
+    const PolyType *GetAsUniformType() const;
+    const PolyType *GetAsVaryingType() const;
+    const PolyType *GetAsUnboundVariabilityType() const;
+    const PolyType *GetAsSOAType(int width) const;
+
+    const PolyType *ResolveUnboundVariability(Variability v) const;
+    const PolyType *GetAsUnsignedType() const;
+    const PolyType *GetAsConstType() const;
+    const PolyType *GetAsNonConstType() const;
+
+    const PolyType *Quantify(int quant) const;
+
+    bool CanBeType(const Type *t) const;
+
+    std::string GetString() const;
+    std::string Mangle() const;
+    std::string GetCDeclaration(const std::string &name) const;
+
+    llvm::Type *LLVMType(llvm::LLVMContext *ctx) const;
+#if ISPC_LLVM_VERSION <= ISPC_LLVM_3_6
+    llvm::DIType GetDIType(llvm::DIDescriptor scope) const;
+#else // LLVM 3.7++
+    llvm::DIType *GetDIType(llvm::DIScope *scope) const;
+#endif
+
+    enum PolyRestriction {
+      TYPE_INTEGER,
+      TYPE_FLOATING,
+      TYPE_NUMBER
+    };
+
+    const PolyRestriction restriction;
+
+    static const Type * ReplaceType(const Type *from, const Type *to);
+
+    static bool Less(const Type *a, const Type *b);
+
+
+    static const PolyType *UniformInteger, *VaryingInteger;
+    static const PolyType *UniformFloating, *VaryingFloating;
+    static const PolyType *UniformNumber, *VaryingNumber;
+
+    // Returns the list of AtomicTypes that are valid instantiations of the
+    // polymorphic type
+    const std::vector<AtomicType *>::iterator ExpandBegin() const;
+    const std::vector<AtomicType *>::iterator ExpandEnd() const;
+
+private:
+    const Variability variability;
+    const bool isConst;
+    const int quant;
+    PolyType(PolyRestriction type, Variability v, bool isConst);
+    PolyType(PolyRestriction type, Variability v, bool isConst, int quant);
+
+    mutable const PolyType *asOtherConstType, *asUniformType, *asVaryingType;
+    mutable std::vector<AtomicType *> *expandedTypes;
+};
+
 
 /** @brief Type implementation for enumerated types
  */
@@ -912,6 +988,7 @@ public:
     std::string GetString() const;
     std::string Mangle() const;
     std::string GetCDeclaration(const std::string &fname) const;
+    std::string GetCCall(const std::string &fname) const;
     std::string GetCDeclarationForDispatch(const std::string &fname) const;
 
     llvm::Type *LLVMType(llvm::LLVMContext *ctx) const;
@@ -1002,6 +1079,14 @@ CastType(const Type *type) {
         return NULL;
 }
 
+template <> inline const PolyType *
+CastType(const Type *type) {
+    if (type != NULL && type->typeId == POLY_TYPE)
+        return (const PolyType *)type;
+    else
+        return NULL;
+}
+
 template <> inline const EnumType *
 CastType(const Type *type) {
     if (type != NULL && type->typeId == ENUM_TYPE)