%% lpic.sty
%% Copyright 2010 R. Matveyev
%
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
% The latest version of this license is in
%   http://www.latex-project.org/lppl.txt
% and version 1.3 or later is part of all distributions of LaTeX
% version 2005/12/01 or later.
%
% This work has the LPPL maintenance status `maintained'.
% 
% The Current Maintainer of this work is R. Matveyev.
%
% This work consists of the files: 
%       lpic.sty  instructions.tex
%       instructions.pdf instructions-differential.eps 
%       instructions-differential.pdf README 

% lpic.sty V0.8, 23.12.2010
% 

\ProvidesPackage{lpic}
    [2010/12/23, version 0.8]

\NeedsTeXFormat{LaTeX2e}
\RequirePackage{epsfig}
\RequirePackage{rotating}
\RequirePackage{calc}
\RequirePackage{ifthen}
\RequirePackage{color}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% debugging stuff
%

\newcommand{\lp@skipthis}[1]{\relax}
\newcommand{\lp@msg}[1]{\message{^^J! lpic message: #1^^J}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Counters, lengths, boxes
%

% Adjustable parameters
\newlength{\lpunitlength}\setlength{\lpunitlength}{1mm}

\newlength{\lpmarginright}\setlength{\lpmarginright}{0mm}
\newlength{\lpmarginleft}\setlength{\lpmarginleft}{0mm}
\newlength{\lpmargintop}\setlength{\lpmargintop}{0mm}
\newlength{\lpmarginbottom}\setlength{\lpmarginbottom}{0mm}

\newlength{\lpbgboxsep}\setlength{\lpbgboxsep}{\fboxsep}

\newlength{\lpgridthickness}\setlength{\lpgridthickness}{0.01mm}
\newlength{\lpframethickness}\setlength{\lpframethickness}{0.7mm}
\newlength{\lplblframethickness}\setlength{\lplblframethickness}{0.01mm}
\newlength{\lpfigframethickness}\setlength{\lpfigframethickness}{0.2mm}

\newcounter{lpgridstep}\setcounter{lpgridstep}{5}
\newcounter{lpcoordstep}\setcounter{lpcoordstep}{10}

% Internal parameters
\newlength{\lp@marginright}
\newlength{\lp@marginleft}
\newlength{\lp@margintop}
\newlength{\lp@marginbottom}
\newlength{\lp@xsizeorig}
\newlength{\lp@ysizeorig}
\newlength{\lp@xtotalsizeorig}
\newlength{\lp@ytotalsizeorig}
\newlength{\lp@gridstep}
\newlength{\lp@coordstep}
\newlength{\lp@coordx}
\newlength{\lp@coordy}

\newcounter{lp@xtotalsize}
\newcounter{lp@ytotalsize}
\newcounter{lp@xorigin}
\newcounter{lp@yorigin}
\newcounter{lp@coordx}
\newcounter{lp@coordy}

\newsavebox{\lp@pictbox}		%box to save (ps or pdf)-figure

% Temp stuff
\newlength{\lp@tmpa}
\newlength{\lp@tmpb}
\newlength{\lp@tmpc}
\newlength{\lp@tmpd}
\newlength{\lp@tmpx}
\newlength{\lp@tmpy}
\newlength{\lp@tmpdx}
\newlength{\lp@tmpdy}

\newcounter{lp@tmpa}
\newcounter{lp@tmpb}
\newcounter{lp@tmpc}
\newcounter{lp@tmpd}
\newcounter{lp@tmpe}
\newcounter{lp@tmpf}
\newcounter{lp@tmpx}
\newcounter{lp@tmpy}
\newcounter{lp@tmpdx}
\newcounter{lp@tmpdy}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Procedure to check whether argument is a number or length
% we need a way to check whether given argument is a number or 
% length \lp@ifnumber{arg}{true cmds}{false cmds}

\def\lp@substring#1 in #2;%
   {%
     \def\lp@check##1#1##2ENDOFTHEARGS%
		  {\edef\lp@foundsubstring{\lp@foundsubstring##2}}%
     \expandafter\lp@check#2#1ENDOFTHEARGS%
   }

\def\lp@ifsubstring#1 in #2;#3#4%
   {%
     \edef\lp@foundsubstring{}%
     \lp@substring #1 in #2;%
     \ifthenelse{\equal{x}{x\lp@foundsubstring}}{#4}{#3}%
   }

\newcommand{\lp@ifnumber}[3]%
   {%
     \edef\lp@foundsubstring{}%
     \lp@substring pt in #1;%
     \lp@substring pc in #1;%
     \lp@substring in in #1;%
     \lp@substring bp in #1;%
     \lp@substring cm in #1;%
     \lp@substring mm in #1;%
     \lp@substring dd in #1;%
     \lp@substring cc in #1;%
     \lp@substring sp in #1;%
     \lp@substring em in #1;%
     \lp@substring ex in #1;%
     \ifthenelse{\equal{\lp@foundsubstring}{}}{#2}{#3}%
   }

%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Save scaled picture in \lp@pictbox, calculate its sizes, calculate
% sizes and the origin of the whole picture box and define procedure
% for calculating coordinates
% \lp@dimens defines \lp@xtotalsize!, \lp@ytotalsize!, \lp@xorig!,
% \lp@yorig!, \lp@xcoord{original_length_in_\lp@units},
% \lp@ycoord{original_length_in_\lp@units} 
%

\newcommand{\lp@dimens}
{%
  % Save unscaled pict and calculate sizes
  \sbox{\lp@pictbox}{\epsfig{figure=\lp@epsfile}}%
  \settowidth{\lp@xsizeorig}{\usebox{\lp@pictbox}}% Original x-size
  \settoheight{\lp@ysizeorig}{\usebox{\lp@pictbox}}% Original y-size
  %
  % Are we given absolute dimensions or scale coefficients?
  \ifthenelse{\equal{\lp@xscale}{}}%
      % x scale is not given
      {%
	%\lp@msg{x=\lp@xscale, y=\lp@yscale}
	\ifthenelse{\equal{\lp@yscale}{}}
	    % x - no, y - no
	    {%
	      \edef\lp@xnum{1cm}\edef\lp@xdenom{1cm}%
	      \edef\lp@ynum{1cm}\edef\lp@ydenom{1cm}%
	    }%
	    % x - no, y - yes
	    {%
	      \lp@ifnumber{\lp@yscale}
		 {%
		   \edef\lp@ynum{\lp@yscale cm}\edef\lp@ydenom{1cm}% 
		   \edef\lp@xnum{\lp@yscale cm}\edef\lp@xdenom{1cm}%
		 }%
		 {%
		   \edef\lp@ynum{\lp@yscale}\def\lp@ydenom{\lp@ysizeorig}%
		   \edef\lp@xnum{\lp@yscale}\def\lp@xdenom{\lp@ysizeorig}% 
		 }%
	    }%
      }%
      % x is given
      {%
	\ifthenelse{\equal{\lp@yscale}{}}
	    % x - yes, y - no
	    {%
	      \lp@ifnumber{\lp@xscale}
		 {%
		   \edef\lp@ynum{\lp@xscale cm}\edef\lp@ydenom{1cm}%
		   \edef\lp@xnum{\lp@xscale cm}\edef\lp@xdenom{1cm}%
		 }%
		 {%
		   \edef\lp@ynum{\lp@xscale}\def\lp@ydenom{\lp@xsizeorig}%
		   \edef\lp@xnum{\lp@xscale}\def\lp@xdenom{\lp@xsizeorig}%
		 }%
	    }%
	    % x - yes, y - yes
	    {%
	      \lp@ifnumber{\lp@xscale}
	         {%
		   \edef\lp@xnum{\lp@xscale cm}\edef\lp@xdenom{1cm}%
		 }
		 {%
		   \edef\lp@xnum{\lp@xscale}\def\lp@xdenom{\lp@xsizeorig}%
		 }
	      \lp@ifnumber{\lp@yscale}
	         {%
		   \edef\lp@ynum{\lp@yscale cm}\edef\lp@ydenom{1cm}%
		 }
		 {%
		   \edef\lp@ynum{\lp@yscale}\def\lp@ydenom{\lp@ysizeorig}%
		 }%
		 
	    }%
      }%
  %\lp@msg{xscale=\lp@xnum/\lp@xdenom, yscale=\lp@ynum/\lp@ydenom}
  \setlength{\lp@tmpx}{\lp@xsizeorig * \ratio{\lp@xnum}{\lp@xdenom}}% x-size in the doc
  \setlength{\lp@tmpy}{\lp@ysizeorig * \ratio{\lp@ynum}{\lp@ydenom}}% y-size in the doc
  % Save scaled picture  
  \sbox{\lp@pictbox}% 
       {\epsfig{figure=\lp@epsfile, width=\lp@tmpx, height=\lp@tmpy}}%
  % Calculate sizes and coordinates of the origin of the whole pict 
  \setlength{\lp@tmpa}{\lp@tmpx + \lpmarginleft + \lpmarginright}%
  \setcounter{lp@xtotalsize}{\lp@tmpa / \unitlength}%
  \def\lp@xtotalsize{\value{lp@xtotalsize}}%
  \setlength{\lp@tmpa}{\lp@tmpy + \lpmargintop + \lpmarginbottom}%
  \setcounter{lp@ytotalsize}{\lp@tmpa / \unitlength}%
  \def\lp@ytotalsize{\value{lp@ytotalsize}}%
  \setcounter{lp@xorigin}{-\lpmarginleft / \unitlength}%
  \def\lp@xorigin{\value{lp@xorigin}}%
  \setcounter{lp@yorigin}{-\lpmarginbottom / \unitlength}%
  \def\lp@yorigin{\value{lp@yorigin}}%
  % Redefine margins in units of the original
  \setlength{\lp@marginleft}{\lpmarginleft / \ratio{\lp@xnum}{\lp@xdenom}}%
  \setlength{\lp@marginright}{\lpmarginright / \ratio{\lp@xnum}{\lp@xdenom}}%
  \setlength{\lp@margintop}{\lpmargintop / \ratio{\lp@ynum}{\lp@ydenom}}%
  \setlength{\lp@marginbottom}{\lpmarginbottom / \ratio{\lp@ynum}{\lp@ydenom}}%
  \setlength{\lp@xtotalsizeorig}%
	    {\lp@xsizeorig + \lp@marginleft + \lp@marginright}%
  \setlength{\lp@ytotalsizeorig}%
	    {\lp@ysizeorig + \lp@margintop + \lp@marginbottom}%
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Define \lp@put(x,y)[position]{object}
% \lp@multiput(x,y)(deltax,deltay)[position]{count}{object} 
% where (x,y)(deltax,deltay) are lengths in the original unscaled eps
% picture.
% 
\def\lp@put(#1,#2)[#3]#4%
{{%
  \setlength{\lp@tmpx}{( #1 ) * \ratio{\lp@xnum}{\lp@xdenom}}%
  \setlength{\lp@tmpy}{( #2 ) * \ratio{\lp@ynum}{\lp@ydenom}}%
  \setcounter{lp@tmpx}{\lp@tmpx / \unitlength}%
  \setcounter{lp@tmpy}{\lp@tmpy / \unitlength}%
  \put(\value{lp@tmpx},\value{lp@tmpy})%
      {\makebox(0,0)[#3]{#4}}%
}}
 
\def\lp@multiput(#1,#2)(#3,#4)(#5)[#6]#7%
{{%
  \setlength{\lp@tmpx}{( #1 ) * \ratio{\lp@xnum}{\lp@xdenom}}%
  \setlength{\lp@tmpy}{( #2 ) * \ratio{\lp@ynum}{\lp@ydenom}}%
  \setcounter{lp@tmpx}{\lp@tmpx / \unitlength}%
  \setcounter{lp@tmpy}{\lp@tmpy / \unitlength}%
  \setlength{\lp@tmpdx}{( #3 ) * \ratio{\lp@xnum}{\lp@xdenom}}%
  \setlength{\lp@tmpdy}{( #4 ) * \ratio{\lp@ynum}{\lp@ydenom}}%
  \setcounter{lp@tmpdx}{\lp@tmpdx / \unitlength}%
  \setcounter{lp@tmpdy}{\lp@tmpdy / \unitlength}%
  \multiput(\value{lp@tmpx},\value{lp@tmpy})%
           (\value{lp@tmpdx},\value{lp@tmpdy})%
           {#5}%
	   {\makebox(0,0)[#6]{#7}}%
}}

\def\lp@hline#1%
{{%
  \setlength{\lp@tmpa}{#1}%
  \setlength{\lp@tmpa}{\lp@tmpa * \ratio{\lp@xnum}{\lp@xdenom}}%
  \setcounter{lp@tmpa}{\lp@tmpa / \unitlength}%
  \line(1,0){\value{lp@tmpa}}%
}}

\def\lp@vline#1%
{{%
  \setlength{\lp@tmpa}{#1}%
  \setlength{\lp@tmpa}{\lp@tmpa * \ratio{\lp@ynum}{\lp@ydenom}}%
  \setcounter{lp@tmpa}{\lp@tmpa / \unitlength}%
  \line(0,1){\value{lp@tmpa}}%
}}

% \lp@put.....
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Drawing commands
%

% \lp@pictframecmd draws a frame around all of the picture including
% margins. \lpframethickness -- thickness of the lines
\newcommand{\lp@pictframecmd}
{\begingroup%
  \linethickness{\lpframethickness}%
  \lp@put(-\lp@marginleft,-\lp@marginbottom)[l]
	 {\lp@hline{\lp@xsizeorig+\lp@marginleft+\lp@marginright}}%
  \lp@put(-\lp@marginleft,-\lp@marginbottom)[b]
	 {\lp@vline{\lp@ysizeorig+\lp@margintop+\lp@marginbottom}}%
  \lp@put(\lp@xsizeorig+\lp@marginright,\lp@ysizeorig+\lp@margintop)[r]
	 {\lp@hline{\lp@xsizeorig+\lp@marginleft+\lp@marginright}}%
  \lp@put(\lp@xsizeorig+\lp@marginright,\lp@ysizeorig+\lp@margintop)[t]
	 {\lp@vline{\lp@ysizeorig+\lp@margintop+\lp@marginbottom}}%
\endgroup}

% \lp@gridcmd draws a grid with the step \value{lpgridstep} x
% \lpunitlength wrt original and lines \lpgridthickness thick
\newcommand{\lp@gridcmd}
{%
\begingroup%
  \linethickness{\lpgridthickness} % 
  \setlength{\lp@gridstep}{\lpunitlength * \value{lpgridstep}}%
  \setcounter{lp@tmpa}{\lp@marginleft / \lp@gridstep}%
  \setlength{\lp@tmpa}{-\lp@gridstep * \value{lp@tmpa}}%
  \setcounter{lp@tmpb}
	     {(\lp@xsizeorig-\lp@tmpa+\lp@marginright ) / %
	       \lp@gridstep + 1}%
  \lp@multiput(\lp@tmpa,-\lp@marginbottom)%
              (\lp@gridstep,0mm)%
              (\value{lp@tmpb})%
              [b]%
              {\lp@vline{\lp@ysizeorig+\lp@margintop+\lp@marginbottom}}%
  \setcounter{lp@tmpa}{\lp@marginbottom / \lp@gridstep}%
  \setlength{\lp@tmpa}{-\lp@gridstep * \value{lp@tmpa}}%
  \setcounter{lp@tmpb}
	     {(\lp@ysizeorig-\lp@tmpa+\lp@margintop ) / %
	       \lp@gridstep + 1}%
  \lp@multiput(-\lp@marginleft,\lp@tmpa)%
              (0mm,\lp@gridstep)%
              (\value{lp@tmpb})%
              [l]%
              {\lp@hline{\lp@xsizeorig+\lp@marginleft+\lp@marginright}}%
\endgroup%
}

% \lp@coordscmd draws coordinates on all four sides of the picture
% with the step \lpunitlength * \value{lpcoordstep}
\newcommand{\lp@coordscmd}
{\begingroup%
  \setlength{\lp@coordstep}{\lpunitlength * \value{lpcoordstep}}%
  \setcounter{lp@tmpa}{\lp@marginleft / \lp@coordstep}
  \setlength{\lp@tmpa}{-\lp@coordstep * \value{lp@tmpa}}
  \setcounter{lp@tmpb}
	     {(\lp@xsizeorig-\lp@tmpa+\lp@marginright) / \lp@coordstep+1}
  \setcounter{lp@tmpc}{\lp@tmpa / \lpunitlength}
  \lp@multiput(\lp@tmpa,-\lp@marginbottom-\lpframethickness-0.1mm)%
              (\lp@coordstep,0mm)%
              (\value{lp@tmpb})%
              [t]%
              {%
		{\tiny\bf\arabic{lp@tmpc}}%
		\addtocounter{lp@tmpc}{\value{lpcoordstep}}%
	      }%
  \setcounter{lp@tmpc}{\lp@tmpa / \lpunitlength}
  \lp@multiput(\lp@tmpa,\lp@ysizeorig+\lp@margintop+\lpframethickness)%
              (\lp@coordstep,0mm)%
              (\value{lp@tmpb})%
              [b]%
              {%
		{\tiny\bf\arabic{lp@tmpc}}%
		\addtocounter{lp@tmpc}{\value{lpcoordstep}}%
	      }%
  \setcounter{lp@tmpa}{\lp@marginbottom / \lp@coordstep}
  \setlength{\lp@tmpa}{-\lp@coordstep * \value{lp@tmpa}}
  \setcounter{lp@tmpb}
	     {(\lp@ysizeorig-\lp@tmpa+\lp@margintop)/\lp@coordstep+1}
  \setcounter{lp@tmpc}{\lp@tmpa / \lpunitlength}
  \lp@multiput(-\lp@marginleft-\lpframethickness,\lp@tmpa)%
              (0mm,\lp@coordstep)%
              (\value{lp@tmpb})%
              [r]%
              {%
		{\tiny\bf\arabic{lp@tmpc}}%
		\addtocounter{lp@tmpc}{\value{lpcoordstep}}%
	      }%
  \setcounter{lp@tmpc}{\lp@tmpa / \lpunitlength}
  \lp@multiput(\lp@xsizeorig+\lp@marginright+\lpframethickness,\lp@tmpa)%
              (0mm,\lp@coordstep)%
              (\value{lp@tmpb})%
              [l]%
              {%
		{\tiny\bf\arabic{lp@tmpc}}%
		\addtocounter{lp@tmpc}{\value{lpcoordstep}}%
	      }%
\endgroup}


% \lp@lblframecmd draws a frame around each label \lplblframethickness
% thick 
\newcommand{\lp@lblframecmd}[1]
{\begingroup%
  \setlength{\linethickness}{\lplblframethickness}%
  \frame{#1}%
\endgroup}

% \lp@figframecmd draws a frame around eps figure \lpfigframethickness 
% thick 
\newcommand{\lp@figframecmd}[1]
{\begingroup%
  \setlength{\linethickness}{\lpfigframethickness}%
  \frame{#1}%
\endgroup}

%
\newcommand{\lp@putepsfigurecmd}
{%
  \put(0,0){\makebox(0,0)[bl]{\lp@figframe{\usebox{\lp@pictbox}}}}
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% options

% Print nothing but the picture and labels
\def\lpopt@clean
{%
  \let\lp@lblframe=\relax%
  \let\lp@figframe=\relax%
  \let\lp@pictframe=\relax%
  \let\lp@coords=\relax%
  \let\lp@grid=\relax%
  \let\lbl=\lbl@cmd%
  \let\lp@putepsfigure=\lp@putepsfigurecmd%
}

% Set margins
\def\lpopt@l#1%
{%
  \ifthenelse{\not\equal{#1}{}}
             {\setlength{\lpmarginleft}{#1}}
	     {}%
}
\def\lpopt@r#1%
{%
  \ifthenelse{\not\equal{#1}{}}
             {\setlength{\lpmarginright}{#1}}
	     {}%
}
\def\lpopt@t#1%
{%
  \ifthenelse{\not\equal{#1}{}}
             {\setlength{\lpmargintop}{#1}}
	     {}%
}
\def\lpopt@b#1%
{%
  \ifthenelse{\not\equal{#1}{}}
             {\setlength{\lpmarginbottom}{#1}}
	     {}%
}

% Print frame around whole picture margins included
\def\lpopt@frame#1%
{%
  \ifthenelse{\not\equal{#1}{}}
             {\setlength{\lpframethickness}{#1}}{}%
\let\lp@pictframe=\lp@pictframecmd%
}

% Print frame around eps figure
\def\lpopt@figframe#1%
{%
  \ifthenelse{\not\equal{#1}{}}
             {\setlength{\lpfigframethickness}{#1}}{}%
  \let\lp@figframe=\lp@figframecmd%
}

% Draw frames around labels
\def\lpopt@frames#1%
{%
  \ifthenelse{\not\equal{#1}{}}
             {\setlength{\lplblframethickness}{#1}}{}%
  \let\lp@lblframe=\lp@lblframecmd%
}

% Write coordinates on all four sides of the picture
% argument=step
\def\lpopt@coords#1%
{%
  \ifthenelse{\not\equal{#1}{}}
             {\setcounter{lpcoordstep}{#1}}{}%
  \let\lp@coords=\lp@coordscmd%
}

% Draw a grid, argument=step
\def\lpopt@grid#1%
{%
  \ifthenelse{\not\equal{#1}{}}
             {\setcounter{lpgridstep}{#1}}{}%
  \let\lp@grid=\lp@gridcmd%
}

% Ignore all the labels
\def\lpopt@nolbl{\renewcommand{\lbl}[2][]{\relax}}

% Don't insert epsfigure
\def\lpopt@nofigure{\let\lp@putepsfigure=\relax}

% Draw what is usually convenient for adjusting the labels
\def\lpopt@draft
{%
\lpopt@figframe{}\relax%
\lpopt@frame{}\relax%
\lpopt@coords{}\relax%
\lpopt@grid{}\relax%
\lpopt@frames{}\relax%
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Option processing commands
%
%

% Should be called \exec@option{name(arg)} or 
% \exec@option{name}. It executes \name and passes
% arg if present as an argument.
% That is \name should have at most one argument.

\def\exec@optionmisc#1(#2)#3ENDOFTHEARGS%
{%
  \csname#1\endcsname{#2}\relax%
}
\newcommand{\exec@option}[1]
{%
  \exec@optionmisc#1()ENDOFTHEARGS%
}


% Called with a coma-separated list of options, and then executes
% each ``name'' prefixed with the value of \option@prefix. It passes
% this command the argument if present. Each option is either
% ``name'' or ``name(arg)''. ``arg'' should not contain comas or
% should be enclosed in {}.
\def\process@optionsmisc#1,#2ENDOFTHEARGS%
{%
  %\lp@msg{1=#1, 2=#2}
  \ifthenelse{\not\equal{#1}{}}%
     {%
       \exec@option{\option@prefix#1}%
       \process@optionsmisc#2ENDOFTHEARGS%
     }%
     {}%
}
\newcommand\process@options[1]
{%
  \process@optionsmisc#1,,ENDOFTHEARGS%
}


% Next command process ``filename'' argument. 
% Defines \lp@epsfile, \lp@xscale, \lp@yscale
% Syntaxis is one of the following
% \lp@getscaleandfile{FILE}
% \lp@getscaleandfile{FILE()}
% \lp@getscaleandfile{FILE(,)}
% \lp@getscaleandfile{FILE(x)}
% \lp@getscaleandfile{FILE(x,)}
% \lp@getscaleandfile{FILE(,y)}
% \lp@getscaleandfile{FILE(x,y)}

\def\lp@getname#1(#2ENDOFTHEARGS{\edef\lp@epsfile{#1}\edef\lp@string{#2}}
\def\lp@getscales#1)#2ENDOFTHEARGS{\edef\lp@string{#1}}
\def\lp@getxscale#1,#2ENDOFTHEARGS{\edef\lp@xscale{#1}\edef\lp@string{#2}}
\def\lp@getyscale#1,#2ENDOFTHEARGS{\edef\lp@yscale{#1}\edef\lp@string{#2}}

\def\lp@getscaleandfile#1%
{%
  \edef\lp@epsfile{}%
  \edef\lp@xscale{}%
  \edef\lp@yscale{}%
  \edef\lp@string{#1}%
  \expandafter\lp@getname\lp@string(ENDOFTHEARGS%
  \expandafter\lp@getscales\lp@string)ENDOFTHEARGS%
  \expandafter\lp@getxscale\lp@string,ENDOFTHEARGS%
  \expandafter\lp@getyscale\lp@string,ENDOFTHEARGS%
  %\lp@msg{file=\lp@epsfile, x=\lp@xscale, y=\lp@yscale}%
}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \begin{lpic}[coma separated options]{filename[(xscale[,yscale])]},
% \lbl[position]{xcoord,ycoord;object}
% ....
% \end{lpic}
% Where options are clean, draft, grid, frame, frames, coords, nolbl
% Position is at most two of the following t,b,l,r
\newenvironment{lpic}[2][clean]
{\begingroup%
  %Process options
  \edef\option@prefix{lpopt@}%
  \setlength{\unitlength}{1sp}%
  \lpopt@clean%
  \process@options{#1}%
  % read scale and filename from the second argument
  \expandafter\lp@getscaleandfile{#2}%
  % Calculate parameters
  \lp@dimens%
  % Start picture environment
  \begin{picture}(\lp@xtotalsize,\lp@ytotalsize)
                 (\lp@xorigin,\lp@yorigin)%
    %insert picture. We do it before any LaTeX, so that white bg rectangles are on top
    \lp@putepsfigure%
}
{%
    %draw a frame around the whole picture
    \lp@pictframe
    % draw grid
    \lp@grid
    % draw coordinates
    \lp@coords
  \end{picture}%
\endgroup}
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% \lbl[position]{<xcoord>,<ycoord>[,angle];object}
%

% read coordinates and the angle from the argument of \lbl
\def\lp@getxya#1,#2,#3,#4ENDOFTHEARGS%
{%
  \setlength{\lp@tmpx}{\lpunitlength * \real{#1} * \ratio{\lp@xnum}{\lp@xdenom}}%
  \setcounter{lp@tmpx}{\lp@tmpx / \unitlength}%
  \setlength{\lp@tmpy}{\lpunitlength * \real{#2} * \ratio{\lp@ynum}{\lp@ydenom}}%
  \setcounter{lp@tmpy}{\lp@tmpy / \unitlength}%
  \def\lp@angle{#3}%
}

% disassemble the arg of \lbl
\def\lp@getdata#1;#2#3ENDOFTHEARGS%
{%
  \lp@getxya#1,,,ENDOFTHEARGS% 
  \def\lp@lbldata{#2#3}%
}

\newcommand{\lp@getcoords}[1]
{%
  \lp@getdata#1ENDOFTHEARGS%
}

%\setlength{\lpbgboxsep}{10mm}

\newcommand{\lbl@cmd}[2][]
{\begingroup%
    % Set the defaults
    \def\lp@lblbox{\makebox(0,0)[#1]} % 
    \def\lp@bgbox{\relax}         % No background
    \setcounter{lp@tmpdx}{0}      % No shifting
    \setcounter{lp@tmpdy}{0}
    % Dissasemble the second argument
    \lp@getcoords{#2}%
    % Let's see whether angle is supplied
    \ifthenelse{\equal{\lp@angle}{}}
               {\let\lp@rotatelbl=\relax}
	       {\def\lp@rotatelbl{\turnbox{\lp@angle}}}%
    % What options are given?
    % ``W'' put white background with margins
    \lp@ifsubstring W in #1;%
	{%
	  \setlength{\lp@tmpa}{0.152mm} 
	  \setcounter{lp@tmpdx}{( \lpbgboxsep + \lp@tmpa ) / \unitlength}%
	  \setcounter{lp@tmpdy}{( \lpbgboxsep + \lp@tmpa ) / \unitlength}%
	  \def\lp@bgbox##1{%  
            \begingroup%
            \setlength{\fboxsep}{\lpbgboxsep}%
            \colorbox{white}{##1}
            \endgroup%
          }%
        }% 
	{}%
    % ``w'' put white background without margins
    \lp@ifsubstring w in #1;%
	{%
	  \def\lp@bgbox##1{%
            \begingroup%
            \setlength{\fboxsep}{0mm}%
            \colorbox{white}{##1}%
            \endgroup%
          }%
	}%
	{}%
    % Positioning
    \lp@ifsubstring t in #1;{\addtocounter{lp@tmpy}{\value{lp@tmpdy}}}{}%
    \lp@ifsubstring b in #1;{\addtocounter{lp@tmpy}{-\value{lp@tmpdy}}}{}%
    \lp@ifsubstring l in #1;{\addtocounter{lp@tmpx}{-\value{lp@tmpdx}}}{}%
    \lp@ifsubstring r in #1;{\addtocounter{lp@tmpx}{\value{lp@tmpdx}}}{}%
    % Put the material	
    \put(\value{lp@tmpx},\value{lp@tmpy})%
        {\lp@rotatelbl{\lp@lblbox{\lp@bgbox{\lp@lblframe{\lp@lbldata}}}}}%
\endgroup}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% PS definitions for the white bg
%\special{! TeXDict 
%  begin
%  /whitebgbox{% Needs : x0 y0 x1 y1.
%    newpath 2 copy moveto 3 copy pop exch lineto 4 copy pop pop
%    lineto 4 copy exch pop exch pop lineto closepath 1 setgray fill} bind def
%  end
%}