Some random changes to as5 specs.
Originally committed to SVN as r1412.
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4 changed files with 21 additions and 13 deletions
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@ -387,6 +387,11 @@ the next two the green component, and the last two the blue component (\#RRGGBB)
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style (Visual Basic hexadecimal) is not supported - if a parser finds any colour in \&HBBGGRR\& format,
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it \must\ issue an error.
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In the tag specification in this document, optional parameters are denoted by being enclosed by square
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brackets (``[]''), and may be ommitted. For example, \emph{\textbackslash baseline(curve1[,curve2])}
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means that the second parameter is entirely optional. It's also possible that the entire parameter set
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is enclosed in square brackets, e.g. \emph{\textbackslash vc[(c1,c2,c3,c4)]}.
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Any tag might have its parameter enclosed inside parenthesis (``()''), but some tags require it. In
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particular, any tag that has more than on parameter, or whose parameter is text requires parenthesis.
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The parser \must\ issue a warning and disregard the tag if it ommitted mandatory parenthesis.
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@ -446,9 +451,6 @@ See the alignment tags for more information regarding screen alignment.
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\subsubsection{\textbackslash bordstyle}
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\todo{Write me}
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\subsubsection{\textbackslash effect}
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\todo{Write me. Is this really desirable?}
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\subsubsection{\textbackslash relative}
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\todo{Write me}
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@ -466,7 +468,6 @@ imagery.
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\textbf{Usage:}
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\begin{verbatim}
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\distort(x1,y1,x2,y2,x3,y3)
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\distort
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\end{verbatim}
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\textbf{Description:}
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@ -478,6 +479,11 @@ $P_0$ is the origin, $P_1 = (x1,y1)$ is the corner at the end of the baseline fo
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$P_2 = (x2,y2)$ is the point above that, and $P_3 = (x3,y3)$ is the point above $P_0$. That is, they
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are listed clockwise from origin ($P_0$).
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The following picture illustrates how this tag works:\\
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\begin{center}
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\includegraphics[width=0.7\textwidth]{./distort}
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\end{center}
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If the parameter list is ommitted, the distort reverts to the style's default (none by default).
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This tag can be animated with \textbackslash t.
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@ -489,12 +495,15 @@ In order to transform a given (x,y) coordinate pair to it:
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\item Normalize the (x,y) coordinates to a (u,v) system, so that $P_0$ = (0,0) and $P_2$ = (1,1).
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This can be done by dividing x by the block's baseline length (bl) and y by the block height (h).
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The affine 3D transformation matrix for this operation is:\\
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\[ \left[\begin{array}{ c c c c }
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\begin{center}
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$\begin{bmatrix}
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\frac{1}{bl} & 0 & 0 & -\frac{P_{0x}}{bl} \\
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0 & \frac{1}{h} & 0 & -\frac{P_{0y}}{h} \\
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0 & 0 & 1 & 0 \\
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0 & 0 & 0 & 1
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\end{array} \right]\]\\
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\end{bmatrix}$
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\end{center}
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%\vspace{10pt}
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That is, $u = \frac{P_x - P_{0x}}{bl}; v = \frac{P_y - P_{0y}}{h}$.
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\item Apply the following formula: $P = P_0 + (P_1-P_0) u + (P_3-P_0) v + (P_0+P_2-P_1-P_3) u v$.\\
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This can be interpreted as simple vector operations, that is, apply that once using the x coordinates
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@ -508,8 +517,7 @@ precalculated, resulting in a very fast transformation.\\
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\subsubsection{\textbackslash bls}
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\textbf{Usage:}
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\begin{verbatim}
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\bls#
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\bls
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\bls[#]
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\end{verbatim}
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\textbf{Description:}
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BIN
specs/as5/distort.png
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specs/as5/distort.png
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After Width: | Height: | Size: 25 KiB |
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@ -11,11 +11,11 @@
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\RequirePackage[utf8x]{inputenc}
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\RequirePackage[english]{babel}
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\RequirePackage[margin=3cm]{geometry}
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%\RequirePackage{amsmath}
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%\RequirePackage{amssymb}
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%\RequirePackage{latexsym}
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%\RequirePackage{amsxtra}
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%\RequirePackage{amscd}
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\RequirePackage{amsmath}
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\RequirePackage{amssymb}
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\RequirePackage{latexsym}
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\RequirePackage{amsxtra}
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\RequirePackage{amscd}
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\RequirePackage{charter}
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\RequirePackage{fancyhdr}
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\RequirePackage{color}
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