%%%% cubd_01.ldf
%%%% Created  by Laurence D. Finston (LDF) Fri Dec 16 15:26:59 CET 2005
%%%% Modified by Laurence D. Finston (LDF) Fri Dec 16 17:30:29 CET 2005

%% * (1) Copyright and License.

%%%% This file is part of GNU 3DLDF, a package for three-dimensional drawing. 
%%%% Copyright (C) 2003, 2004, 2005, 2006, 2007, 2008 The Free Software Foundation 

%%%% GNU 3DLDF is free software; you can redistribute it and/or modify 
%%%% it under the terms of the GNU General Public License as published by 
%%%% the Free Software Foundation; either version 3 of the License, or 
%%%% (at your option) any later version. 

%%%% GNU 3DLDF is distributed in the hope that it will be useful, 
%%%% but WITHOUT ANY WARRANTY; without even the implied warranty of 
%%%% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the 
%%%% GNU General Public License for more details. 

%%%% You should have received a copy of the GNU General Public License 
%%%% along with GNU 3DLDF; if not, write to the Free Software 
%%%% Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA

%%%% GNU 3DLDF is a GNU package.  
%%%% It is part of the GNU Project of the  
%%%% Free Software Foundation 
%%%% and is published under the GNU General Public License. 
%%%% See the website http://www.gnu.org 
%%%% for more information.   
%%%% GNU 3DLDF is available for downloading from 
%%%% http://www.gnu.org/software/3dldf/LDF.html. 
%%%% It is also available from 
%%%% http://www.dante.de/software/ctan/, the Dante www-server  
%%%% and from http://wwwuser.gwdg.de/~lfinsto1, 
%%%% the author's website.  

%%%% Please send bug reports to lfinsto1@gwdg.de
%%%% The mailing list help-3dldf@gnu.org is available for people to 
%%%% ask other users for help.  
%%%% The mailing list info-3dldf@gnu.org is for the maintainer of 
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%%%% The author can be contacted at: 

%%%% Laurence D. Finston 
%%%% c/o The Free Software Foundation, Inc.
%%%% 51 Franklin St, Fifth Floor 
%%%% Boston, MA  02110-1301 
%%%% USA 

%%%% lfinsto1@gwdg.de 
%%%% s246794@stud.uni-goettingen.de 


%% *** (3) Classifying `points' with respect to a `cuboid'.

verbatim_metapost "verbatimtex \magnification=\magstep5 etex";

pen dot_pen;
dot_pen := pencircle scaled (2mm, 2mm);

pickup pencircle scaled (.75mm, .75mm);

focus f;
set f with_position (-12, 15, -30) with_direction (-12, 15, 100) with_distance 20; 


beginfig(1);
cuboid c;
c := unit_cuboid scaled (20, 16, 10) rotated (-20, 15);
draw c;

point p[];

p0 := (0, 1, 1);

message "p0 location c:";
show p0 location c;

string s;

s :=   "\\setbox0=\\hbox{$p_0$}\\hbox to \\wd0{\\box0 , $l = " 
     & decimal (p0 location c) & "$\\hss}"; 

drawdot p0 with_pen dot_pen with_color blue;
label.top(s, p0 shifted (0, .25));


rectangle r[];
r0 := get_rectangle 0 c;

p1 := mediate(get_point 0 r0, get_point 3 r0, 1/3);

message "p1 location c:";
show p1 location c;


s :=   "\\setbox0=\\hbox{$p_1$}\\hbox to \\wd0{\\box0 , $l = " 
     & decimal (p1 location c) & "$\\hss}"; 

drawdot p1 with_pen dot_pen with_color blue;
label.rt(s, p1 shifted .25);



r1 := get_rectangle 2 c;

p2 := mediate(get_point 0 r1, get_point 2 r1);

message "p2 location c:";
show p2 location c;

s :=   "\\setbox0=\\hbox{$p_2$}\\hbox to \\wd0{\\box0 , $l = " 
     & decimal (p2 location c) & "$\\hss}"; 

drawdot p2 with_pen dot_pen with_color blue;
label.rt(s, p2 shifted .25);

r2 := get_rectangle 4 c;

p3 := mediate(get_point 0 r2, get_point 2 r2) shifted (0, 2);

message "p3 location c:";
show p3 location c;

s :=   "\\setbox0=\\hbox{$p_3$}\\hbox to \\wd0{\\box0 , $l = " 
     & decimal (p3 location c) & "$\\hss}"; 

drawdot p3 with_pen dot_pen with_color blue;
label.top(s, p3 shifted (0, .25));

endfig with_focus f no_sort;  

verbatim_metapost "end";
end;