Index: src/BasicTypes-gen.cc
===================================================================
--- src/BasicTypes-gen.cc	(revision fba51ab7e7342c8e2f909f1ac3eaddb4c088c888)
+++ src/BasicTypes-gen.cc	(revision fba51ab7e7342c8e2f909f1ac3eaddb4c088c888)
@@ -0,0 +1,445 @@
+#include <queue>
+#include <iostream>
+#include <iomanip>
+#include <fstream>
+#include <utility>
+#include <string>
+using namespace std;
+#include <assert.h>
+#include <string.h>										// strlen
+#include "../config.h"									// configure info
+
+enum Kind {
+	Bool,
+	Char,
+	SignedChar,
+	UnsignedChar,
+	ShortSignedInt,
+	ShortUnsignedInt,
+	SignedInt,
+	UnsignedInt,
+	LongSignedInt,
+	LongUnsignedInt,
+	LongLongSignedInt,
+	LongLongUnsignedInt,
+	SignedInt128,
+	UnsignedInt128,
+	uFloat16,
+	uFloat16Complex,
+	uFloat32,
+	uFloat32Complex,
+	Float,
+	FloatComplex,
+	// FloatImaginary,
+	uFloat32x,
+	uFloat32xComplex,
+	uFloat64,
+	uFloat64Complex,
+	Double,
+	DoubleComplex,
+	// DoubleImaginary,
+	uFloat64x,
+	uFloat64xComplex,
+	uuFloat80,
+	uFloat128,
+	uFloat128Complex,
+	uuFloat128,
+	LongDouble,
+	LongDoubleComplex,
+	// LongDoubleImaginary,
+	uFloat128x,
+	uFloat128xComplex,
+	NUMBER_OF_BASIC_TYPES
+};
+
+enum NumSort {											// floating point types act as both signed and unsigned
+	Signed = 0x1,
+	Unsigned = 0x2,
+	Floating = 0x3
+};
+
+struct Node {
+	Kind basicType;										// basic type
+	const char * name;									// basic-type name
+	const char * abbrev;								// internal abbreviation (documentation only)
+	const char * type;									// actual type name
+	const char * mangled;								// mangled abbreviation
+	NumSort sign;										// is this a signed integral type?
+	int left, middle, right;							// 3-ary tree, -1 => nullptr
+	int rank;											// integral rank (C standard 6.3.1.1.1, extended)
+} graph[NUMBER_OF_BASIC_TYPES] = {
+	{ Bool, "Bool", "B", "_Bool", "b", Signed, Char, SignedChar, -1, 0 }, // root
+	{ Char, "Char", "C", "char", "c", Signed, SignedChar, UnsignedChar, ShortSignedInt, 1 },
+	{ SignedChar, "SignedChar", "SC", "signed char", "a", Signed, UnsignedChar, ShortSignedInt, -1, 1 },
+	{ UnsignedChar, "UnsignedChar", "UC", "unsigned char", "h", Unsigned, ShortUnsignedInt, ShortSignedInt, -1, 1 },
+	{ ShortSignedInt, "ShortSignedInt", "SI", "signed short int", "s", Signed, ShortUnsignedInt, SignedInt, -1, 2 },
+	{ ShortUnsignedInt, "ShortUnsignedInt", "SUI", "unsigned short int", "t", Unsigned, UnsignedInt, SignedInt, -1, 2 },
+	{ SignedInt, "SignedInt", "I", "signed int", "i", Signed, UnsignedInt, LongSignedInt, -1, 3 },
+	{ UnsignedInt, "UnsignedInt", "UI", "unsigned int", "j", Unsigned, LongUnsignedInt, LongSignedInt, -1, 3 },
+	{ LongSignedInt, "LongSignedInt", "LI", "signed long int", "l", Signed, LongUnsignedInt, LongLongSignedInt, -1, 4 },
+	{ LongUnsignedInt, "LongUnsignedInt", "LUI", "unsigned long int", "m", Unsigned, LongLongSignedInt, LongLongUnsignedInt, -1, 4 },
+	{ LongLongSignedInt, "LongLongSignedInt", "LLI", "signed long long int", "x", Signed, LongLongUnsignedInt, SignedInt128, -1, 5 },
+	{ LongLongUnsignedInt, "LongLongUnsignedInt", "LLUI", "unsigned long long int", "y", Unsigned, SignedInt128, UnsignedInt128, -1, 5 },
+	{ SignedInt128, "SignedInt128", "IB", "__int128", "n", Signed, UnsignedInt128, uFloat16, -1, 6 },
+	{ UnsignedInt128, "UnsignedInt128", "UIB", "unsigned __int128", "o", Unsigned, uFloat16, -1, -1, 6 },
+	{ uFloat16, "uFloat16", "_FH", "_Float16", "DF16_", Floating, uFloat32, uFloat16Complex, -1, 7 },
+	{ uFloat16Complex, "uFloat16Complex", "_FH", "_Float16 _Complex", "CDF16_", Floating, uFloat32Complex, -1, -1, 7 },
+	{ uFloat32, "uFloat32", "_F", "_Float32", "DF32_", Floating, Float, uFloat32Complex, -1, 8 },
+	{ uFloat32Complex, "uFloat32Complex", "_FC", "_Float32 _Complex", "CDF32_", Floating, FloatComplex, -1, -1, 8 },
+	{ Float, "Float", "F", "float", "f", Floating, uFloat32x, FloatComplex, -1, 9 },
+	{ FloatComplex, "FloatComplex", "FC", "float _Complex", "Cf", Floating, uFloat32xComplex, -1, -1, 9 },
+	// { FloatImaginary, "FloatImaginary", "FI", "float _Imaginary", "If", false, DoubleImaginary, FloatComplex, -1, 9 },
+	{ uFloat32x, "uFloat32x", "_FX", "_Float32x", "DF32x_", Floating, uFloat64, uFloat32xComplex, -1, 10 },
+	{ uFloat32xComplex, "uFloat32xComplex", "_FXC", "_Float32x _Complex", "CDF32x_", Floating, uFloat64Complex, -1, -1, 10 },
+	{ uFloat64, "uFloat64", "FD", "_Float64", "DF64_", Floating, Double, uFloat64Complex, -1, 11 },
+	{ uFloat64Complex, "uFloat64Complex", "_FDC", "_Float64 _Complex", "CDF64_", Floating, DoubleComplex, -1, -1, 11 },
+	{ Double, "Double", "D", "double", "d", Floating, uFloat64x, DoubleComplex, -1, 12 },
+	{ DoubleComplex, "DoubleComplex", "DC", "double _Complex", "Cd", Floating, uFloat64xComplex, -1, -1, 12 },
+	// { DoubleImaginary, "DoubleImaginary", "DI", "double _Imaginary", "Id", false, LongDoubleImaginary, DoubleComplex, -1, 12 },
+	{ uFloat64x, "uFloat64x", "F80X", "_Float64x", "DF64x_", Floating, uuFloat80, uFloat64xComplex, -1, 13 },
+	{ uFloat64xComplex, "uFloat64xComplex", "_FDXC", "_Float64x _Complex", "CDF64x_", Floating, uFloat128Complex, -1, -1, 13 },
+	{ uuFloat80, "uuFloat80", "F80", "__float80", "Dq", Floating, uFloat128, uFloat64xComplex, -1, 14 },
+	{ uFloat128, "uFloat128", "_FB", "_Float128", "DF128_", Floating, uuFloat128, uFloat128Complex, -1, 15 },
+	{ uFloat128Complex, "uFloat128Complex", "_FLDC", "_Float128 _Complex", "CDF128_", Floating, LongDoubleComplex, -1, -1, 15 },
+	{ uuFloat128, "uuFloat128", "FB", "__float128", "g", Floating, LongDouble, uFloat128Complex, -1, 16 },
+	{ LongDouble, "LongDouble", "LD", "long double", "e", Floating, uFloat128x, LongDoubleComplex, -1, 17 },
+	{ LongDoubleComplex, "LongDoubleComplex", "LDC", "long double _Complex", "Ce", Floating, uFloat128xComplex, -1, -1, 17 },
+	// { LongDoubleImaginary, "LongDoubleImaginary", "LDI", "long double _Imaginary", "Ie", false, LongDoubleComplex, -1, -1, 17 },
+	{ uFloat128x, "uFloat128x", "_FBX", "_Float128x", "DF128x_", Floating, uFloat128xComplex, -1, -1, 18 },	
+	{ uFloat128xComplex, "uFloat128xComplex", "_FLDXC", "_Float128x _Complex", "CDF128x_", Floating, -1, -1, -1, 18 }
+}; // graph
+
+static int costMatrix[NUMBER_OF_BASIC_TYPES][NUMBER_OF_BASIC_TYPES];
+static int signMatrix[NUMBER_OF_BASIC_TYPES][NUMBER_OF_BASIC_TYPES];
+static Kind commonTypeMatrix[NUMBER_OF_BASIC_TYPES][NUMBER_OF_BASIC_TYPES];
+
+void generateCosts( int row ) {
+	bool seen[NUMBER_OF_BASIC_TYPES] = { false /*, ... */ };
+	
+	struct el_cost {
+		int i;
+		int path;
+		int sign;
+		
+		el_cost( int i = 0, int p = 0, int s = 0 ) : i(i), path(p), sign(s) {}
+		
+		// reverse the sense for use in largest-on-top priority queue
+		bool operator< (const el_cost& o) const {
+			return path > o.path || (path == o.path && sign > o.sign);
+		}
+	};
+
+	// initialize BFS queue with root of traversal
+	priority_queue< el_cost > q;
+	q.emplace( row, 0, 0 );
+
+	// BFS costs
+	do {
+		// visit cost element
+		int col = q.top().i;
+		// skip if already set
+		if ( seen[col] ) {
+			q.pop();
+			continue;
+		} else {
+			seen[col] = true;
+		} // if
+
+		// otherwise set min-costs into matrix
+		int cost = q.top().path;
+		int scost = q.top().sign;
+		costMatrix[row][col] = cost;
+		signMatrix[row][col] = scost;
+		q.pop();
+
+		// traverse children
+		int i = graph[col].left;
+		if ( i == -1 ) continue;
+		q.emplace( i, cost + 1, scost + ! (graph[col].sign & graph[i].sign) );
+
+		i = graph[col].middle;
+		if ( i == -1 ) continue;
+		q.emplace( i, cost + 1, scost + !(graph[col].sign & graph[i].sign) );
+
+		i = graph[col].right;
+		if ( i == -1 ) continue;
+		q.emplace( i, cost + 1, scost + !(graph[col].sign & graph[i].sign) );
+	} while ( ! q.empty() );
+} // generateCosts
+
+void generateCommonType( int row, int col ) {			// row <= col
+	if ( costMatrix[row][col] >= 0 ) {
+		// safe conversion from row => col
+		commonTypeMatrix[row][col] = commonTypeMatrix[col][row] = graph[col].basicType;
+	} else if ( costMatrix[col][row] >= 0 ) {
+		// safe conversion from col => row
+		commonTypeMatrix[row][col] = commonTypeMatrix[col][row] = graph[row].basicType;
+	} else {
+		// need to find least common ancestor
+		// can cheat a bit here, in that there is always a direct ancestor of the later (col) element
+		int i = graph[col].left;
+		if ( i == -1 ) assert("invalid ancestor assumption");
+		if ( costMatrix[row][i] >= 0 ) {
+			commonTypeMatrix[row][col] = commonTypeMatrix[col][row] = graph[i].basicType;
+			return;
+		} // if
+		
+		i = graph[col].middle;
+		if ( i == -1 ) assert("invalid ancestor assumption");
+		if ( costMatrix[row][i] >= 0 ) {
+			commonTypeMatrix[row][col] = commonTypeMatrix[col][row] = graph[i].basicType;
+			return;
+		} // if
+
+		i = graph[col].right;
+		if ( i == -1 ) assert("invalid ancestor assumption");
+		if ( costMatrix[row][i] >= 0 ) {
+			commonTypeMatrix[row][col] = commonTypeMatrix[col][row] = graph[i].basicType;
+			return;
+		} // if
+
+		assert("invalid ancestor assumption");
+	} // if
+} // generateCommonType
+
+void resetInput( fstream & file, const char * filename, stringstream & buffer, stringstream & code, string & str ) {
+	file.close();
+	buffer.str( "" );
+	code.str( "" );
+	file.open( filename, fstream::in );
+	if ( file.fail() ) {
+		cout << "Internal error, could not open " << filename << " for input." << endl;
+		abort();
+	} // if
+	buffer << file.rdbuf();
+	str = buffer.str();
+} // resetInput
+
+void output( fstream & file, const char * filename, stringstream & code ) {
+	file.close();
+	file.open( filename, fstream::out );
+	if ( file.fail() ) {
+		cout << "Internal error, could not open " << filename << " for output." << endl;
+		abort();
+	} // if
+	file << code.rdbuf();								// overwrite file
+} // output
+
+void Abort( const char * kind, const char * file ) {
+	cerr << "Internal error, could not find " << kind << " of generated code for " << file << endl;
+} // Abort
+
+int main() {
+	for ( int r = 0; r < NUMBER_OF_BASIC_TYPES; r += 1 ) { // initialization
+		for ( int c = 0; c < NUMBER_OF_BASIC_TYPES; c += 1 ) {
+			costMatrix[r][c] = -1;
+			signMatrix[r][c] = -1;
+			commonTypeMatrix[r][c] = NUMBER_OF_BASIC_TYPES;
+		} // for
+	} // for
+
+	for ( int r = 0; r < NUMBER_OF_BASIC_TYPES; r += 1 ) { // perform breath-first traversal to generate cost graph
+		generateCosts(r);
+	} // for
+
+	for ( int r = 0; r < NUMBER_OF_BASIC_TYPES; r += 1 ) { // use cost graph to find nearest-common-ancestor
+		for (int c = r; c < NUMBER_OF_BASIC_TYPES; c += 1 ) {
+			generateCommonType(r, c);
+		} // for
+	} // for
+
+	#define startMK "// GENERATED START, DO NOT EDIT"
+	#define endMK "// GENERATED END"
+	fstream file;
+	stringstream buffer, code;
+	string str;
+	size_t start, end;
+
+
+	#define Type TOP_SRCDIR "src/SynTree/Type.h"
+	resetInput( file, Type, buffer, code, str );
+
+	if ( (start = str.find( startMK )) == string::npos ) Abort( "start", Type );
+	start += sizeof( startMK );							// includes newline
+	code << str.substr( 0, start );
+
+	code << "\t// GENERATED BY " __FILE__ << endl;
+	code << "\tenum Kind {" << endl;
+	for ( int r = 0; r < NUMBER_OF_BASIC_TYPES; r += 1 ) {
+		code << "\t\t" << graph[r].name << "," << endl;
+	} // for	
+	code << "\t\tNUMBER_OF_BASIC_TYPES" << endl;
+	code << "\t} kind;" << endl;
+	code << "\t";										// indentation for end marker
+
+	if ( (start = str.find( endMK, start + 1 )) == string::npos ) Abort( "end", Type );
+	code << str.substr( start );
+
+	output( file, Type, code );
+	// cout << code.str();
+
+	
+	#define ConversionCost TOP_SRCDIR "src/ResolvExpr/ConversionCost.cc"
+	resetInput( file, ConversionCost, buffer, code, str );
+
+	if ( (start = str.find( startMK )) == string::npos ) Abort( "start", ConversionCost );
+	start += sizeof( startMK );							// includes newline
+	code << str.substr( 0, start );
+
+	code << "\t// GENERATED BY " __FILE__ << endl;
+	code << "\t/* EXTENDED INTEGRAL RANK HIERARCHY (root to leaves)" << endl;
+	for ( int c = 0; c < NUMBER_OF_BASIC_TYPES; c += 1 ) {
+		code << '\t' << left;
+		if ( graph[c].rank != graph[c + 1].rank ) {
+			code << right << setw(30) << graph[c].type << left;
+		} else if ( graph[c].rank != graph[c + 2].rank ) {
+			code << string( 10, ' ' ) << setw(25) << graph[c].type << setw(25) << graph[c + 1].type;
+			c += 1;
+		} else {
+			code << setw(20) << graph[c].type << setw(20) << graph[c + 1].type << setw(20) << graph[c + 2].type;
+			c += 2;
+		} // if
+		code << endl;
+	} // for
+	code << right << "\t*/" << endl;
+	code << "\t";										// indentation for end marker
+
+	if ( (start = str.find( endMK, start + 1 )) == string::npos ) Abort( "end", ConversionCost );
+	if ( (end = str.find( startMK, start + 1 )) == string::npos ) Abort( "start", ConversionCost );
+	end += sizeof( startMK );
+	code << str.substr( start, end - start );
+	
+	code << "\t// GENERATED BY " __FILE__ << endl;
+	code << "\tstatic const int costMatrix[BasicType::NUMBER_OF_BASIC_TYPES][BasicType::NUMBER_OF_BASIC_TYPES] = { // path length from root to node" << endl
+		 << "\t\t/*       ";
+	for ( int r = 0; r < NUMBER_OF_BASIC_TYPES; r += 1 ) { // titles
+		code << setw(4) << graph[r].abbrev << ' ';
+	} // for
+	code << "*/" << endl;
+	for ( int r = 0; r < NUMBER_OF_BASIC_TYPES; r += 1 ) { // costs
+		code << "\t\t/*" << setw(6) << graph[r].abbrev << "*/";
+		for ( int c = 0; c < NUMBER_OF_BASIC_TYPES; c += 1 ) {
+			code << setw(3) << costMatrix[r][c] << ", ";
+		} // for
+		code << endl;
+	} // for
+	code << "\t}; // costMatrix" << endl;
+	code << "\t";										// indentation for end marker
+
+	if ( (start = str.find( endMK, start + 1 )) == string::npos ) Abort( "end", ConversionCost );
+	if ( (end = str.find( startMK, start + 1 )) == string::npos ) Abort( "start", ConversionCost );
+	end += sizeof( startMK );
+	code << str.substr( start, end - start );
+
+	code << "\t// GENERATED BY " __FILE__ << endl;
+	code << "\tstatic const int signMatrix[BasicType::NUMBER_OF_BASIC_TYPES][BasicType::NUMBER_OF_BASIC_TYPES] = { // number of sign changes in safe conversion" << endl
+		 << "\t\t/*       ";
+	for ( int r = 0; r < NUMBER_OF_BASIC_TYPES; r += 1 ) { // titles
+		code << setw(4) << graph[r].abbrev << ' ';
+	} // for
+	code << "*/" << endl;
+	for ( int r = 0; r < NUMBER_OF_BASIC_TYPES; r += 1 ) { // costs
+		code << "\t\t/*" << setw(6) << graph[r].abbrev << "*/";
+		for ( int c = 0; c < NUMBER_OF_BASIC_TYPES; c += 1 ) {
+			code << setw(3) << signMatrix[r][c] << ", ";
+		} // for
+		code << endl;
+	} // for
+	code << "\t}; // signMatrix" << endl;
+	code << "\t";										// indentation for end marker
+
+	if ( (start = str.find( endMK, start + 1 )) == string::npos ) Abort( "end", ConversionCost );
+	code << str.substr( start );
+
+	output( file, ConversionCost, code );
+	// cout << code.str();
+
+
+	#define CommonType TOP_SRCDIR "src/ResolvExpr/CommonType.cc"
+	resetInput( file, CommonType, buffer, code, str );
+
+	if ( (start = str.find( startMK )) == string::npos ) Abort( "start", CommonType );
+	start += sizeof( startMK );							// includes newline
+	code << str.substr( 0, start );
+
+	enum { PER_ROW = 6 };
+	code << "\t// GENERATED BY " __FILE__ << endl;
+	code << "\t#define BT BasicType::" << endl;
+	code << "\tstatic const BasicType::Kind commonTypes[BasicType::NUMBER_OF_BASIC_TYPES][BasicType::NUMBER_OF_BASIC_TYPES] = { // nearest common ancestor" << endl
+	     << "\t\t/*       ";
+	for ( int r = 0; r < NUMBER_OF_BASIC_TYPES; r += 1 ) { // titles
+		code << setw(24) << graph[r].abbrev;
+		if ( (r+1) % PER_ROW == 0 ) {
+			code << endl << "\t\t         "; 
+		} else {
+			code << ' ';
+		}
+	} // for
+	code << "*/" << endl;
+	for ( int r = 0; r < NUMBER_OF_BASIC_TYPES; r += 1 ) { // costs
+		code << "\t\t/*" << setw(6) << graph[r].abbrev << "*/";
+		for ( int c = 0; c < NUMBER_OF_BASIC_TYPES; c += 1 ) {
+			string s = string{"BT "} + graph[commonTypeMatrix[r][c]].name;
+			code << setw(23) << s << ",";
+			if ( (c+1) % PER_ROW == 0 ) {
+				code << endl << "\t\t          ";
+			} else {
+				code << ' ';
+			}
+		} // for
+		code << endl;
+	} // for
+	code << "\t};" << endl;
+	code << "\t#undef BT" << endl;
+	code << "\t";										// indentation for end marker
+
+	if ( (start = str.find( endMK, start + 1 )) == string::npos ) Abort( "end", CommonType );
+	code << str.substr( start );
+
+	output( file, CommonType, code );
+	// cout << code.str();
+
+
+	#define ManglerCommon TOP_SRCDIR "src/SymTab/ManglerCommon.cc"
+	resetInput( file, ManglerCommon, buffer, code, str );
+
+	if ( (start = str.find( startMK )) == string::npos ) Abort( "start", ManglerCommon );
+	start += sizeof( startMK );							// includes newline
+	code << str.substr( 0, start );
+
+	code << "\t\t\t// GENERATED BY " __FILE__ << endl;
+	code <<
+		"\t\t\t// NOTES ON MANGLING:\n"
+		"\t\t\t// * Itanium spec says that Float80 encodes to \"e\" (like LongDouble), but the distinct lengths cause resolution problems.\n"
+		"\t\t\t// * Float128 is supposed to encode to \"g\", but I wanted it to mangle equal to LongDouble.\n"
+		"\t\t\t// * Mangling for non-standard complex types is by best guess\n"
+		"\t\t\t// * _FloatN is supposed to encode as \"DF\"N\"_\"; modified for same reason as above.\n"
+		"\t\t\t// * unused mangling identifiers:\n"
+		"\t\t\t//   - \"z\" ellipsis\n"
+		"\t\t\t//   - \"Dd\" IEEE 754r 64-bit decimal floating point (borrowed for _Float32x)\n"
+		"\t\t\t//   - \"De\" IEEE 754r 128-bit decimal floating point\n"
+		"\t\t\t//   - \"Df\" IEEE 754r 32-bit decimal floating point\n"
+		"\t\t\t//   - \"Dh\" IEEE 754r 16-bit decimal floating point (borrowed for _Float16)\n"
+		"\t\t\t//   - \"DF\"N\"_\" ISO/IEC TS 18661 N-bit binary floating point (_FloatN)\n"
+		"\t\t\t//   - \"Di\" char32_t\n"
+		"\t\t\t//   - \"Ds\" char16_t\n";
+		
+	code << "\t\t\tconst std::string basicTypes[BasicType::NUMBER_OF_BASIC_TYPES] = {" << endl;
+	for ( int r = 0; r < NUMBER_OF_BASIC_TYPES; r += 1 ) {
+		code << "\t\t\t\t\"" << graph[r].mangled << "\"," << setw(9 - strlen(graph[r].mangled)) << ' ' << "// " << graph[r].type << endl;
+	} // for	
+	code << "\t\t\t}; // basicTypes" << endl;
+	code << "\t\t\t";									// indentation for end marker
+
+	if ( (start = str.find( endMK, start + 1 )) == string::npos ) Abort( "end", ManglerCommon );
+	code << str.substr( start );
+
+	output( file, ManglerCommon, code );
+	// cout << code.str();
+} // main
+
+// Local Variables: //
+// tab-width: 4 //
+// mode: c++ //
+// compile-command: "g++-8 -Wall -Wextra BasicTypes-gen.cc" //
+// End: //
