Primitive long a subtype of float

The Java language specification defines, that primitive "long" is a subtype of primitive "float" (ref, http://java.sun.com/docs/books/jls/third_edition/html/typesValues.html#4.10.1).

But XML Schema Datatypes spec, shows no relationship between xs:float and xs:long (
ref: XML Schema 1.0 data types, XML Schema 1.1 data types).

I'm a little confused, that which concept is correct (Java's definition of this data-type inheritance, or XML Schema). I seem to be in favor of XML Schema definition. But perhaps, XML Schema type system is for XML oriented data, and Java type system is for a wider class of applications. But I'm not sure, if this is the reason for the differences of definitions in Java language spec and XML Schema.