This appendix contains several namespace algorithms, such as namespace normalization algorithm
    that fixes namespace information in the Document Object Model to produce a 
    namespace well-formed document.  
    If [XML 1.0] is in use (see Document.xmlVersion) the algorithms 
    conform to [XML Namespaces], otherwise if  
    [XML 1.1] is in use, algorithms conform to [XML Namespaces 1.1].
  
      Namespace declaration attributes and prefixes are normalized as
      part of the normalizeDocument method of the
      Document interface as if the following method
      described in pseudo code was called on the document element.
    
void Element.normalizeNamespaces()
{
  // Pick up local namespace declarations
  // 
  for ( all DOM Level 2 valid local namespace declaration attributes of Element ) 
  {    
      if (the namespace declaration is invalid) 
      {
          // Note: The prefix xmlns is used only to declare namespace bindings and
          // is by definition bound to the namespace name http://www.w3.org/2000/xmlns/.
          // It must not be declared. No other prefix may be bound to this namespace name.         
               
          ==> Report an error.
      } 
      else 
      {
          ==>  Record the namespace declaration
      }
  }
  // Fixup element's namespace
  //
  if ( Element's namespaceURI != null )
  {
    if ( Element's prefix/namespace pair (or default namespace,
         if no prefix) are within the scope of a binding )
    {
      ==> do nothing, declaration in scope is inherited
      See section "B.1.1: Scope of a binding" for an example
    }
    else
    {
      ==> Create a local namespace declaration attr for this namespace,
          with Element's current prefix (or a default namespace, if
          no prefix). If there's a conflicting local declaration
          already present, change its value to use this namespace.
          See section "B.1.2: Conflicting namespace declaration" for an example
          // NOTE that this may break other nodes within this Element's
          // subtree, if they're already using this prefix.
          // They will be repaired when we reach them.
    }
  }
  else
  {
    // Element has no namespace URI:
    if ( Element's localName is null )
    {
       // DOM Level 1 node
       ==> if in process of validation against a namespace aware schema 
           (i.e XML Schema) report a fatal error: the processor can not recover 
           in this situation. 
           Otherwise, report an error: no namespace fixup will be performed on this node.
    }
    else
    {
      // Element has no namespace URI 
      // Element has no pseudo-prefix
      if ( default Namespace in scope is "no namespace" )
      {
        ==> do nothing, we're fine as we stand
      }
      else
      {
        if ( there's a conflicting local default namespace declaration
             already present )
        {
          ==> change its value to use this empty namespace.
        }
        else
        {
          ==> Set the default namespace to "no namespace" by creating or
          changing a local declaration attribute: xmlns="". 
        }
        // NOTE that this may break other nodes within this Element's
        // subtree, if they're already using the default namespaces.
        // They will be repaired when we reach them.
      }
    }
  }
  // Examine and polish the attributes
  //
  for ( all non-namespace Attrs of Element )
  {
     if ( Attr[i] has a namespace URI )
     {
        if ( attribute has no prefix (default namespace decl does not apply to attributes) 
             OR
             attribute prefix is not declared
             OR
             conflict: attribute has a prefix that conflicts with a binding
                       already active in scope)
        {              
           if (namespaceURI matches an in scope declaration of one or more prefixes) 
           {
               // pick the most local binding available; 
               // if there is more than one pick one arbitrarily
               ==> change attribute's prefix.
           }
           else 
           {
               if (the current prefix is not null and it has no in scope declaration) 
               {
                   ==> declare this prefix
               } 
               else 
               {
                   // find a prefix following the pattern "NS" +index (starting at 1)
                   // make sure this prefix is not declared in the current scope.
                   // create a local namespace declaration attribute
                   ==> change attribute's prefix.
               }
           }           
        }
     }    
     else
     {
        // Attr[i] has no namespace URI
            
        if ( Attr[i] has no localName )
        {
           // DOM Level 1 node
           ==> if in process of validation against a namespace aware schema 
               (i.e XML Schema) report a fatal error: the processor can not recover 
                in this situation. 
                Otherwise, report an error: no namespace fixup will be performed on this node.
        }
        else
        { 
           // attr has no namespace URI and no prefix
           // no action is required, since attrs don't use default
           ==> do nothing 
        }
     }
  } // end for-all-Attrs
  // do this recursively
  for ( all child elements of Element )
  {
    childElement.normalizeNamespaces()
  }
} // end Element.normalizeNamespaces
      
Note: This section is informative.
An element is said to be within the scope of a binding if its namespace prefix is bound to the same namespace URI in the [in-scope namespaces] defined in [XML Information set].
As an example, the following document is loaded in a DOM tree:
<root>
  <parent xmlns:ns="http://www.example.org/ns1"
          xmlns:bar="http://www.example.org/ns2">
    <ns:child1 xmlns:ns="http://www.example.org/ns2"/>
  </parent>
</root>
      
	In the case of the child1 element, the namespace
	prefix and namespace URI are within the scope of the appropriate
	namespace declaration given that the namespace prefix
	ns of child1 is bound to
	http://www.example.org/ns2.
      
	Using the method Node.appendChild, a
	child2 element is added as a sibling of
	child1 with the same namespace prefix and namespace
	URI, i.e. "ns" and
	"http://www.example.org/ns2" respectively. Unlike
	child1 which contains the appropriate namespace
	declaration in its attributes, child2 is within the
	scope of the namespace declaration of its parent, and the
	namespace prefix "ns" is bound to
	"http://www.example.org/ns1". child2
	is therefore not within the scope of a binding. In order to put
	child2 within a scope of a binding, the namespace
	normalization algorithm will create a namespace declaration
	attribute value to bind the namespace prefix "ns"
	to the namespace URI "http://www.example.org/ns2"
	and will attach to child2. The XML representation
	of the document after the completion of the namespace
	normalization algorithm will be:
      
<root>
  <parent xmlns:ns="http://www.example.org/ns1"
          xmlns:bar="http://www.example.org/ns2">
    <ns:child1 xmlns:ns="http://www.example.org/ns2"/>
    <ns:child2 xmlns:ns="http://www.example.org/ns2"/>
  </parent>
</root>
      
	To determine if an element is within the scope of a binding, one
	can invoke Node.lookupNamespaceURI, using its
	namespace prefix as the parameter, and compare the resulting
	namespace URI against the desired URI, or one can invoke
	Node.isDefaultNamespaceURI using its namespace URI
	if the element has no namespace prefix.
      
Note: This section is informative.
	A conflicting namespace declaration could occur on an element if
	an Element node and a namespace declaration
	attribute use the same prefix but map them to two different
	namespace URIs.
      
As an example, the following document is loaded in a DOM tree:
<root>
  <ns:child1 xmlns:ns="http://www.example.org/ns1">
    <ns:child2/> 
  </ns:child1>   
</root>
      
	Using the method Node.renameNode, the namespace URI
	of the element child1 is renamed from
	"http://www.example.org/ns1" to
	"http://www.example.org/ns2". The namespace prefix
	"ns" is now mapped to two different namespace URIs
	at the element child1 level and thus the namespace
	declaration is declared conflicting. The namespace normalization
	algorithm will resolved the namespace prefix conflict by
	modifying the namespace declaration attribute value from
	"http://www.example.org/ns1" to
	"http://www.example.org/ns2". The algorithm will
	then continue and consider the element child2, will
	no longer find a namespace declaration mapping the namespace
	prefix "ns" to
	"http://www.example.org/ns1" in the element's
	scope, and will create a new one.  The XML representation of the
	document after the completion of the namespace normalization
	algorithm will be:
      
<root>
  <ns:child1 xmlns:ns="http://www.example.org/ns2">
    <ns:child2  xmlns:ns="http://www.example.org/ns1"/> 
  </ns:child1>   
</root>
      
      The following describes in pseudo code the algorithm used in the
      lookupPrefix method of the Node
      interface. Before returning found prefix the algorithm needs to
      make sure that the prefix is not redefined on an element from
      which the lookup started. This methods ignores DOM Level 1
      nodes.
    
Note: 
	This method ignores all default
	namespace declarations.  To look up default namespace use
	isDefaultNamespace method.
      
DOMString lookupPrefix(in DOMString namespaceURI)
{
  if (namespaceURI has no value, i.e. namespaceURI is null or empty string) {
     return null;
  }
  short type = this.getNodeType(); 
  switch (type) { 
        case Node.ELEMENT_NODE: 
        { 
             return lookupNamespacePrefix(namespaceURI, this); 
        } 
        case Node.DOCUMENT_NODE:
        { 
             return getDocumentElement().lookupNamespacePrefix(namespaceURI); 
        } 
        case Node.ENTITY_NODE : 
        case Node.NOTATION_NODE: 
        case Node.DOCUMENT_FRAGMENT_NODE: 
        case Node.DOCUMENT_TYPE_NODE: 
            return null;  // type is unknown  
        case Node.ATTRIBUTE_NODE:
        {
             if ( Attr has an owner Element ) 
             { 
                 return ownerElement.lookupNamespacePrefix(namespaceURI); 
             } 
             return null; 
        } 
        default:
        { 
           if (Node has an ancestor Element )
           // EntityReferences may have to be skipped to get to it 
           { 
                    return ancestor.lookupNamespacePrefix(namespaceURI); 
           } 
            return null; 
        } 
     } 
 } 
DOMString lookupNamespacePrefix(DOMString namespaceURI, Element originalElement){ 
        if ( Element has a namespace and Element's namespace == namespaceURI and 
             Element has a prefix and 
             originalElement.lookupNamespaceURI(Element's prefix) == namespaceURI) 
        { 
             return (Element's prefix); 
        } 
        if ( Element has attributes)
        { 
            for ( all DOM Level 2 valid local namespace declaration attributes of Element )
            {
                if (Attr's prefix == "xmlns" and 
                   Attr's value == namespaceURI and 
                   originalElement.lookupNamespaceURI(Attr's localname) == namespaceURI) 
                   { 
                      return (Attr's localname);
                   } 
            }
        } 
        if (Node has an ancestor Element ) 
           // EntityReferences may have to be skipped to get to it 
        { 
            return ancestor.lookupNamespacePrefix(namespaceURI, originalElement); 
        } 
        return null; 
    } 
      The following describes in pseudo code the algorithm used in the
      isDefaultNamespace method of the Node
      interface. This methods ignores DOM Level 1 nodes.
    
boolean isDefaultNamespace(in DOMString namespaceURI)
{
  switch (nodeType) {
  case ELEMENT_NODE:  
     if ( Element has no prefix )
     {
          return (Element's namespace == namespaceURI);
     }
     if ( Element has attributes and there is a valid DOM Level 2 
          default namespace declaration, i.e. Attr's localName == "xmlns" )
     {
	  return (Attr's value == namespaceURI);
     }
     if ( Element has an ancestor Element )
         // EntityReferences may have to be skipped to get to it
     {
          return ancestorElement.isDefaultNamespace(namespaceURI);
     }
     else {
          return unknown (false);
     }    
  case DOCUMENT_NODE:
     return documentElement.isDefaultNamespace(namespaceURI);
  case ENTITY_NODE:
  case NOTATION_NODE:
  case DOCUMENT_TYPE_NODE:
  case DOCUMENT_FRAGMENT_NODE:
     return unknown (false);
  case ATTRIBUTE_NODE:
     if ( Attr has an owner Element )
     {          
          return ownerElement.isDefaultNamespace(namespaceURI);
     }
     else {
          return unknown (false);
     }    
  default:
     if ( Node has an ancestor Element )
         // EntityReferences may have to be skipped to get to it
     {          
          return ancestorElement.isDefaultNamespace(namespaceURI);
     }
     else {
          return unknown (false);
     }    
  }
}
      
      The following describes in pseudo code the algorithm used in the
      lookupNamespaceURI method of the Node
      interface. This methods ignores DOM Level 1 nodes.
    
DOMString lookupNamespaceURI(in DOMString prefix) 
{ 
  switch (nodeType) { 
     case ELEMENT_NODE: 
     { 
         if ( Element's namespace != null and Element's prefix == prefix ) 
         { 
               // Note: prefix could be "null" in this case we are looking for default namespace 
               return (Element's namespace);
         } 
         if ( Element has attributes)
         { 
            for ( all DOM Level 2 valid local namespace declaration attributes of Element )
            {
                 if (Attr's prefix == "xmlns" and Attr's localName == prefix ) 
                       // non default namespace
                 { 
                        if (Attr's value is not empty) 
                        {
                          return (Attr's value);
                        }         
                        return unknown (null);                   
                 } 
                 else if (Attr's localname == "xmlns" and prefix == null)
                       // default namespace
                 { 
                        if (Attr's value is not empty) 
                        {
                          return (Attr's value);
                        }         
                        return unknown (null); 
                 } 
           }
         } 
         if ( Element has an ancestor Element ) 
            // EntityReferences may have to be skipped to get to it 
         { 
                   return ancestorElement.lookupNamespaceURI(prefix); 
         } 
         return null; 
     } 
     case DOCUMENT_NODE: 
          return documentElement.lookupNamespaceURI(prefix) 
     case ENTITY_NODE: 
     case NOTATION_NODE: 
     case DOCUMENT_TYPE_NODE: 
     case DOCUMENT_FRAGMENT_NODE: 
           return unknown (null); 
     case ATTRIBUTE_NODE: 
         if (Attr has an owner Element) 
         { 
             return ownerElement.lookupNamespaceURI(prefix); 
         } 
         else 
         { 
             return unknown (null); 
         } 
     default: 
         if (Node has an ancestor Element) 
          // EntityReferences may have to be skipped to get to it 
         { 
             return ancestorElement.lookupNamespaceURI(prefix); 
         } 
         else { 
             return unknown (null); 
         } 
  } 
}