% Copyright 2006 by Till Tantau % % This file may be distributed and/or modified % % 1. under the LaTeX Project Public License and/or % 2. under the GNU Public License. % % See the file doc/generic/pgf/licenses/LICENSE for more details. \ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/rendering/pgfrendertransform.code.tex,v 1.1 2006/11/12 14:18:46 tantau Exp $ % Create a 3D transformation matrix % % #1 = macro name in which the transformation matrix should be stored % #2 = three comma-separated numbers, representing the first line of % the matrix. % #3 = three numbers, representing the second line of the matrix. % #4 = three numbers, representing the thrid line of the matrix. % #5 = 3D point object, used for the offset. % % Example: % % \pgfrendertransformcreate{\mymatrix}{1,0,0}{0,1,0}{0,0,1}{\pgfrenderobjorigin} \def\pgfrendertransformcreate#1#2#3#4#5{% \pgf@render@unpack#5% \edef#1{{#2}{#3}{#4}{\pgf@xa=\the\pgf@xa\pgf@xb=\the\pgf@xb\pgf@xc=\the\pgf@xc}}% } % Apply a 3D transformation matrix to a 3D point % % #1 = new point (may be the old point) (#1 := #2*#3) % #2 = transformation matrix object % #3 = point to be transformed % % Example: % % \pgfrendertransform{\newvec}{\mymatrix}{\oldvec} \def\pgfrendertransform#1#2#3{% \pgf@render@unpack#3% \expandafter\pgf@rendertransform#2% \pgf@xa=\pgf@ya% \pgf@xb=\pgf@yb% \pgf@xc=\pgf@yc% } \def\pgf@rendertransform#1#2#3#4{% \pgf@@rendertransform\pgf@ya#1\relax% \pgf@@rendertransform\pgf@yb#2\relax% \pgf@@rendertransform\pgf@yc#3\relax% #4% \advance\pgf@ya by \pgf@xa% \advance\pgf@yb by \pgf@xb% \advance\pgf@yc by \pgf@xc% } \def\pgf@@rendertransform#1#2,#3,#4\relax{% #1=#2\pgf@xa% \advance#1by#3\pgf@xb% \advance#1by#4\pgf@xc% } % Concatenate two 3D transformation matrices % % #1 = new matrix, (#1 := #2*#3) % #2 = first matrix % #3 = second matrix % % Example: % % \pgfrendertransformconcat{\mymatrix}{\rotationmatrix}{\mymatrix} \def\pgfrendertransformconcat#1#2#3{% \expandafter\pgf@render@extract@columns#3% \pgfrendertransform\pgf@render@temp@a#2\pgf@render@temp@a% \pgfrendertransform\pgf@render@temp@b#2\pgf@render@temp@b% \pgfrendertransform\pgf@render@temp@c#2\pgf@render@temp@c% \pgfrendertransform\pgf@render@temp@d#2\pgf@render@temp@d% \pgf@render@unpack\pgf@render@temp@a% \edef\pgf@temp@a{\pgf@sys@tonumber\pgf@xa}% \edef\pgf@temp@b{\pgf@sys@tonumber\pgf@xb}% \edef\pgf@temp@c{\pgf@sys@tonumber\pgf@xc}% \pgf@render@unpack\pgf@render@temp@b% \edef\pgf@temp@a{\pgf@temp@a,\pgf@sys@tonumber\pgf@xa}% \edef\pgf@temp@b{\pgf@temp@b,\pgf@sys@tonumber\pgf@xb}% \edef\pgf@temp@c{\pgf@temp@c,\pgf@sys@tonumber\pgf@xc}% \pgf@render@unpack\pgf@render@temp@c% \edef\pgf@temp@a{\pgf@temp@a,\pgf@sys@tonumber\pgf@xa}% \edef\pgf@temp@b{\pgf@temp@b,\pgf@sys@tonumber\pgf@xb}% \edef\pgf@temp@c{\pgf@temp@c,\pgf@sys@tonumber\pgf@xc}% \pgfrendertransformcreate#1{\pgf@temp@a}{\pgf@temp@b}{\pgf@temp@c}{\pgf@render@temp@c}% } \def\pgf@render@extract@columns#1#2#3#4{% \pgf@@render@extract@columns#1,#2,#3\relax% \def\pgf@render@temp@d{#4}% } \def\pgf@@render@extract@columns#1,#2,#3,#4,#5,#6,#7,#8,#9\relax{% \pgfqrenderpointcreate\pgf@render@temp@a{#1pt}{#4pt}{#7pt}% \pgfqrenderpointcreate\pgf@render@temp@b{#2pt}{#5pt}{#8pt}% \pgfqrenderpointcreate\pgf@render@temp@c{#3pt}{#6pt}{#9pt}% } \endinput