entities.put("Uuml", "\u00dc");
        entities.put("Yacute", "\u00dd");
        entities.put("THORN", "\u00de");
        entities.put("szlig", "\u00df");
        entities.put("agrave", "\u00e0");
        entities.put("aacute", "\u00e1");
        entities.put("acirc", "\u00e2");
        entities.put("atilde", "\u00e3");
        entities.put("auml", "\u00e4");
        entities.put("aring", "\u00e5");

	"otilde":   "\u00F5",
	"ouml":     "\u00F6",
	"divide":   "\u00F7",
	"oslash":   "\u00F8",
	"ugrave":   "\u00F9",
	"uacute":   "\u00FA",
	"ucirc":    "\u00FB",
	"uuml":     "\u00FC",
	"yacute":   "\u00FD",
	"thorn":    "\u00FE",
	"yuml":     "\u00FF",
	"fnof":     "\u0192",
	"Alpha":    "\u0391",
	"Beta":     "\u0392",
	"Gamma":    "\u0393",
	"Delta":    "\u0394",
	"Epsilon":  "\u0395",

}

// z = x * y, ignoring signs of x and y for the multiplication
// but using the sign of z for rounding the result.
// x and y must have a non-empty mantissa and valid exponent.
func (z *Float) umul(x, y *Float) {
	if debugFloat {
		validateBinaryOperands(x, y)
	}

	// Note: This is doing too much work if the precision
	// of z is less than the sum of the precisions of x