Adding boxes to a list

The procedure ALIAS_Add_Box allows to add boxes to a list:

 
int ALIAS_Add_Box(int DimVar,INTERVAL_MATRIX &Box,int *Current_Box,int *Nb_Box,
         INTERVAL_MATRIX New_Box, int Nb_New_Box,int MaxBox)

where

• DimVar: number of ranges in the box
• Box: the list of box
• Current_Box: the insertion point for the new boxes
• Nb_Box: the current number of boxes in the list. Afterward the new number of boxes in the list
• New_Box: the list of boxes to add
• Nb_New_Box: the number of boxes to add
• MaxBox: the maximal number of boxes in the list

If Reverse_Storage is set to 0 the new boxes will be added at the end of the list. Otherwise all the boxes to add that are smaller (i.e. have a smaller width or if the width are identical a smaller mean diameter) than the box in position Current_Box+1 in the list are added to the list starting at position Current_Box.

There is a similar procedure if the simplified jacobian is also stored:

 
int ALIAS_Add_Box_Gradient(int DimVar,int DimEq,INTERVAL_MATRIX &Box,
             INTEGER_MATRIX &GBox,
             int *Current_Box,int *Nb_Box,
             INTERVAL_MATRIX New_Box, 
             INTEGER_MATRIX GNew_Box,int Nb_New_Box,int MaxBox)

where

• GBox: the list of simplified jacobian
• GNew_Box: the simplified jacobian of the new boxes

If the jacobian is stored instead of the simplified jacobian you may use

 
int ALIAS_Add_Box_Hessian(int DimVar,int DimEq,INTERVAL_MATRIX &Box,
                   INTERVAL_MATRIX &GBox,
                   int *Current_Box,int *Nb_Box,
                   INTERVAL_MATRIX New_Box, 
                   INTERVAL_MATRIX GNew_Box,int Nb_New_Box,int MaxBox)