\ProvidesPackage{RightBandedBox}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% This Block can draw simple block of boxes with custom colors. 
% Can be used for conv, deconv etc
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\tikzset{RightBandedBox/.pic={\tikzset{/block/.cd,#1}
                
        \tikzstyle{box}=[every edge/.append style={pic actions, densely dashed, opacity=.7},fill opacity=\opacity, pic actions,fill=\fill]
        
        \tikzstyle{band}=[every edge/.append style={pic actions, densely dashed, opacity=.7},fill opacity=\bandopacity, pic actions,fill=\bandfill,draw=\bandfill]
        
        \pgfmathsetmacro{\y}{\cubey*\scale}
        \pgfmathsetmacro{\z}{\cubez*\scale}

        %Multiple concatenated boxes	 	  	
        \foreach[count=\i,%
                 evaluate=\i as \xlabel using {array({\boxlabels},\i-1)},% 
                 evaluate=\unscaledx as \k using {\unscaledx*\scale+\prev}, remember=\k as \prev (initially 0)] 
                 \unscaledx in \cubex
        {
            \pgfmathsetmacro{\x}{\unscaledx*\scale}
            \coordinate (a)     at (\k-\x   , \y/2 , \z/2); 
            \coordinate (art)   at (\k-\x/3 , \y/2 , \z/2); %a_right_third
            \coordinate (b)     at (\k-\x   ,-\y/2 , \z/2); 
            \coordinate (brt)   at (\k-\x/3 ,-\y/2 , \z/2); %b_right_third
            \coordinate (c)     at (\k      ,-\y/2 , \z/2); 
            \coordinate (d)     at (\k      , \y/2 , \z/2); 
            \coordinate (e)     at (\k      , \y/2 ,-\z/2); 
            \coordinate (f)     at (\k      ,-\y/2 ,-\z/2); 
            \coordinate (g)     at (\k-\x   ,-\y/2 ,-\z/2); 
            \coordinate (h)     at (\k-\x   , \y/2 ,-\z/2); 
            \coordinate (hrt)   at (\k-\x/3 , \y/2 ,-\z/2); %h_right_third
            
            %fill box color 			
            \draw [box] 
                (d) -- (a) -- (b) -- (c) -- cycle     
                (d) -- (a) -- (h) -- (e) -- cycle;
            %dotted edges
            \draw [box]
                (f) edge (g)
                (b) edge (g)
                (h) edge (g);
            %fill band color    
            \draw [band] 
                (d) -- (art) -- (brt) -- (c) -- cycle     
                (d) -- (art) -- (hrt) -- (e) -- cycle;
            %draw edges again which were covered by band
            \draw [box,fill opacity=0] 
                (d) -- (a) -- (b) -- (c) -- cycle     
                (d) -- (a) -- (h) -- (e) -- cycle;            
            	
            \path (b) edge ["\xlabel"',midway] (c);
            
            \xdef\LastEastx{\k} %\k persists as \LastEastx after loop 
        }%Loop ends
        \draw [box] (d) -- (e) -- (f) -- (c) -- cycle; %East face of last box
        \draw [band] (d) -- (e) -- (f) -- (c) -- cycle; %East face of last box 
        \draw [pic actions] (d) -- (e) -- (f) -- (c) -- cycle; %East face edges of last box     
        
        \coordinate (a1) at (0 , \y/2 , \z/2);
        \coordinate (b1) at (0 ,-\y/2 , \z/2);
        \tikzstyle{depthlabel}=[pos=0,text width=14*\z,text centered,sloped]       
        
        \path (c) edge ["\small\zlabels"',depthlabel](f); %depth label
        \path (b1) edge ["\ylabel",midway] (a1);  %height label 	  
        
        \tikzstyle{captionlabel}=[text width=15*\LastEastx/\scale,text centered] 
        \path (\LastEastx/2,-\y/2,+\z/2) + (0,-25pt) coordinate (cap) 
        edge ["\textcolor{black}{ \bf \caption}"',captionlabel] (cap); %Block caption/pic object label
         
        %Define nodes to be used outside on the pic object
        \coordinate (\name-west)   at (0,0,0) ;
        \coordinate (\name-east)   at (\LastEastx, 0,0) ;
        \coordinate (\name-north)  at (\LastEastx/2,\y/2,0);
        \coordinate (\name-south)  at (\LastEastx/2,-\y/2,0);       
        \coordinate (\name-anchor) at (\LastEastx/2, 0,0) ;
        
        \coordinate (\name-near) at (\LastEastx/2,0,\z/2);
        \coordinate (\name-far)  at (\LastEastx/2,0,-\z/2);       
        
        \coordinate (\name-nearwest) at (0,0,\z/2);
        \coordinate (\name-neareast) at (\LastEastx,0,\z/2);
        \coordinate (\name-farwest)  at (0,0,-\z/2);
        \coordinate (\name-fareast)  at (\LastEastx,0,-\z/2);
        
        \coordinate (\name-northeast) at (\name-north-|\name-east);
        \coordinate (\name-northwest) at (\name-north-|\name-west);
        \coordinate (\name-southeast) at (\name-south-|\name-east);
        \coordinate (\name-southwest) at (\name-south-|\name-west);
        
        \coordinate (\name-nearnortheast)  at (\LastEastx, \y/2, \z/2);
        \coordinate (\name-farnortheast)   at (\LastEastx, \y/2,-\z/2);
        \coordinate (\name-nearsoutheast)  at (\LastEastx,-\y/2, \z/2);
        \coordinate (\name-farsoutheast)   at (\LastEastx,-\y/2,-\z/2);
        
        \coordinate (\name-nearnorthwest)  at (0, \y/2, \z/2);
        \coordinate (\name-farnorthwest)   at (0, \y/2,-\z/2);
        \coordinate (\name-nearsouthwest)  at (0,-\y/2, \z/2);
        \coordinate (\name-farsouthwest)   at (0,-\y/2,-\z/2);
    },
    /block/.search also={/tikz},
    /block/.cd,
    width/.store        in=\cubex,
    height/.store       in=\cubey,
    depth/.store        in=\cubez,
    scale/.store        in=\scale,
    xlabel/.store       in=\boxlabels,
    ylabel/.store       in=\ylabel,
    zlabel/.store       in=\zlabels,
    caption/.store      in=\caption,
    name/.store         in=\name,
    fill/.store         in=\fill,
    bandfill/.store     in=\bandfill,
    opacity/.store      in=\opacity,
    bandopacity/.store  in=\bandopacity,
    fill={rgb:red,5;green,5;blue,5;white,15},
    bandfill={rgb:red,5;green,5;blue,5;white,5},
    opacity=0.4,
    bandopacity=0.6,
    width=2,
    height=13,
    depth=15,
    scale=.2,
    xlabel={{"","","","","","","","","",""}},
    ylabel=,
    zlabel=,
    caption=,
    name=,
}