[gatest] Parse division and dual operations

ruamoko/gatest/main.r

@@ -117,7 +117,7 @@ typedef enum {
 	OPENS, CLOSES,
 	MUL, DIV, PLUS, MINUS,
 	WEDGE, ANTIWEDGE, DOT,
-	REVERSE,
+	REVERSE, DUAL,
 } token_e;
 
 script_t script;
@@ -157,6 +157,7 @@ get_token ()
 		case "&":   return {ANTIWEDGE, nil};
 		case ".":   return {DOT, nil};
 		case "~":   return {REVERSE, nil};
+		case "!":   return {DUAL, nil};
 	}
 	return {ID, .name = token_str };
 }
@@ -164,7 +165,8 @@ get_token ()
 static void
 syntax_error ()
 {
-	obj_error (nil, 0, "syntax error: %d\n", Script_GetLine (script));
+	obj_error (nil, 0, "syntax error before `%s': %d\n", token_str,
+			   Script_GetLine (script));
 }
 
 static int
@@ -206,10 +208,13 @@ factor ()
 	MultiVector *vec;
 	if (match (REVERSE)) {
 		advance ();
-		vec = [expression () reverse];
+		vec = [factor () reverse];
+	} else if (match (DUAL)) {
+		advance ();
+		vec = [factor () dual];
 	} else if (match (MINUS)) {
 		advance ();
-		vec = [minus_one product:expression ()];
+		vec = [minus_one product:factor ()];
 	} else if (match (OPENP)) {
 		advance ();
 		vec = expression ();
@@ -289,10 +294,11 @@ term ()
 		} else {
 			vec = high_term ();
 		}
-		if (match (REVERSE) || match (OPENP) || match (ID)) {
+		if (match (REVERSE) || match (DUAL) || match (OPENP) || match (ID)) {
 			op = @selector(product:);
-//		} else if (match (DIV)) {
+		} else if (match (DIV)) {
-//			advance ();
+			op = @selector(divide:);
+			advance ();
 		} else {
 			return vec;
 		}
@@ -362,7 +368,7 @@ static int
 parse_script (string name, QFile file)
 {
 	script = Script_New ();
-	Script_SetSingle (script, "()[]{}/+-^&.~=;");
+	Script_SetSingle (script, "()[]{}/+-^&.~=;!");
 	token_str = Script_FromFile (script, name, file);
 
 	while (!match (EOF)) {

ruamoko/gatest/multivector.h

@@ -26,6 +26,7 @@
 -(double *) componentFor:(BasisBlade *) blade;
 
 -(MultiVector *) product:(MultiVector *) rhs;
+-(MultiVector *) divide:(MultiVector *) rhs;
 -(MultiVector *) wedge:(MultiVector *) rhs;
 -(MultiVector *) dot:(MultiVector *) rhs;
 -(MultiVector *) plus:(MultiVector *) rhs;

ruamoko/gatest/multivector.r

@@ -131,6 +131,17 @@ static MultiVector *new_mv (Algebra *algebra, BasisLayout *layout)
 	return prod;
 }
 
+-(MultiVector *) divide:(MultiVector *) rhs
+{
+	MultiVector *sqr = [rhs product:rhs];
+	double      smag = sqr.components[[sqr indexFor:0]];
+	MultiVector *div = [self product:rhs];
+	for (int i = 0; i < div.num_components; i++) {
+		div.components[i] /= smag;
+	}
+	return div;
+}
+
 -(MultiVector *) wedge:(MultiVector *) rhs
 {
 	MultiVector *prod = new_mv (algebra, nil);
@@ -246,7 +257,6 @@ static MultiVector *new_mv (Algebra *algebra, BasisLayout *layout)
 {
 	MultiVector *dual = new_mv (algebra, nil);
 	unsigned dual_mask = (1 << [algebra dimension]) - 1;
-	printf ("dual: %x %d\n", dual_mask, [algebra dimension]);
 	for (int i = 0; i < num_components; i++) {
 		if (!components[i]) {
 			continue;
@@ -256,7 +266,6 @@ static MultiVector *new_mv (Algebra *algebra, BasisLayout *layout)
 		unsigned mask = [lb mask] ^ dual_mask;
 		double s = 1;
 		int ind = [layout bladeIndex:mask];
-		printf ("    : %x %d\n", mask, ind);
 		dual.components[ind] += s * lc;
 	}
 	return dual;