+++ /dev/null
-\appendix
-
-\chapter{Simple Graphics Package}\label{appendix}\index{Simple Graphics Package}
-\setheader{{\it Appendix \thechapter}}{}{}{\ctsimheadtitle}{}{{\it Appendix \thechapter}}%
-\ctsimfooter%
-
-Simple Graphics Package was created in 1980 by Kevin Rosenberg and
-is modelled after the hypothetical graphics library described by Foley and van
-Dam\cite{FOLEY82}. It is designed to be platform-independent.
-
-\section{Transformation Sequence}
-\latexonly{
-\parbox{11cm}{
-\centerline{Master coordinate (MC) level}
-\centerline{$\downarrow$}
-\centerline{Apply \emph{Current transformation matrix}}
-\centerline{$\downarrow$}
-\centerline{World coordinate (WC) level}
-\centerline{$\downarrow$}
-\centerline{Clipping against Window}
-\centerline{$\downarrow$}
-\centerline{Convert to Normalized device coordinates (NDC)}
-\centerline{$\downarrow$}
-\centerline{Clipping against Viewport}
-\centerline{$\downarrow$}
-\centerline{Convert to Physical device coordinates (PDC)}
-}}
-\latexignore{
-\centerline{Master coordinate (MC) level}
-\centerline{Apply \emph{Current transformation matrix}}
-\centerline{World coordinate (WC) level}
-\centerline{Clipping against Window}
-\centerline{Convert to Normalized device coordinates (NDC)}
-\centerline{Clipping against Viewport}
-\centerline{Convert to Physical device coordinates (PDC)}
-}
-
-\section{Functions}%
-
-\subsection{Master coordinate functions}
-\begin{twocollist}
-\twocolitem{\texttt{setWindow(xmin,ymin,xmax,ymax)}}{Set window for world
-coordinates}
-\twocolitem{\texttt{moveAbs(x,y)}}{Move graphics cursor to absolute position}
-\twocolitem{\texttt{moveRel(dx,dy)}}{Move graphics cursor relative to current position}
-\twocolitem{\texttt{pointAbs(x,y)}}{Draw point at current position}
-\twocolitem{\texttt{pointRel(dx,dy)}}{Draw point relative to current position}
-\twocolitem{\texttt{lineAbs(x,y)}}{Draw line from current position to
-absolute position}
-\twocolitem{\texttt{lineRel(dx,dy)}}{Draw line from current position to position
-relative to current position}
-\twocolitem{\texttt{markerAbs(x,y)}}{Draw marker at current position}
-\twocolitem{\texttt{markerRel(dx,dy)}}{Draw marker relative to current position}
-\twocolitem{\texttt{polylineAbs(x[],y[],n)}}{Draw a series of lines to absolute position}
-\twocolitem{\texttt{polylineRel(dx[],dy[],n)}}{Draw series of lines relative to current position}
-\twocolitem{\texttt{drawString(str)}}{Draw text string at current positon}
-\twocolitem{\texttt{drawCircle(r)}}{Draw circle at current positon}
-\twocolitem{\texttt{drawArc(r,start,stop)}}{Draw arc with center at current positon}
-\twocolitem{\texttt{drawRect(xmin,ymin,xmax,ymax)}}{Draw rectangle}
-\end{twocollist}
-
-\subsection{Normalized coordinate functions}%
-\begin{twocollist}
-\twocolitem{\texttt{Viewport(xmin,ymin,xmax,ymax)}}{Viewport for window
-in NDC}
-\twocolitem{\texttt{stylus(x,y,beam)}}{Draw a line from current
-position if beam = 1, otherwise move stylus to new position}
-\twocolitem{\texttt{markerNDC(xndc,yndc)}}{Draw marker at NDC position}
-\end{twocollist}
-
-\subsection{Master coordinate to World coordinate transformations}%
-These transformation functions operate on the \emph{Current transformation
-matrix} (CTM).
-
-\begin{twocollist}
-\twocolitem{\texttt{clearCTM()}}{Sets the CTM to an identity matrix}
-\twocolitem{\texttt{preTranslate(x,y)}}{Apply translation to CTM}
-\twocolitem{\texttt{postTranslate(x,y)}}{Apply translation to CTM}
-\twocolitem{\texttt{preScale(x,y)}}{Apply scale to CTM}
-\twocolitem{\texttt{postScale(x,y)}}{Apply scale to CTM}
-\twocolitem{\texttt{preRotate(angle)}}{Apply rotation to CTM}
-\twocolitem{\texttt{postRotate(angle)}}{Apply rotation to CTM}
-\twocolitem{\texttt{preShear(x,y)}}{Apply shear to CTM}
-\twocolitem{\texttt{postShear(x,y)}}{Apply shear to CTM}
-\end{twocollist}
-
-\subsection{Coordinate transformation functions}%
-\begin{twocollist}
-\twocolitem{\texttt{transformMCtoNDC(\&x,\&y)}}{Convert from master
-coordinates to NDC}
-\twocolitem{\texttt{transformNDCtoMC(\&x,\&y)}}{Convert from NDC to master
-coordinates}
-\end{twocollist}
-
-\subsection{State functions}
-\begin{twocollist}
-\twocolitem{\texttt{eraseWindow()}}{Clears the screen}
-\twocolitem{\texttt{setColor(color)}}{Set current pen color}
-\twocolitem{\texttt{setLinestyle(style)}}{Set current pen style}
-\twocolitem{\texttt{setLinewidth(width)}}{Set current pen width}
-\twocolitem{\texttt{setTextColor(foreground, background)}}{Set text colors}
-\twocolitem{\texttt{setMarker(type,color)}}{Set marker attibutes}
-\twocolitem{\texttt{setRasterOp(rasterOp)}}{Set raster operator}
-\end{twocollist}
-
-\section{Coordinate Mapping}
-
-\subsection{Dimensions}
-Window (World Coordinates): $X_{wmin}, X_{wmax}, Y_{wmin}, Y_{wmax}$ \\
-Viewport (Normalized Device Coordinates): $X_{vmin}, X_{vmax}, Y_{vmin}, Y_{vmax}$\\
-Physical (Physicial Device Coordinates): $X_{pmax}, Y_{pmax}$\\
-
-\subsection{Formulas}
-To convert from Master coordinates to World coordinates: \\
-\centerline{Apply \emph{current transformation matrix}}
-
-To convert from WC to NDC:\\
-\begin{equation}
-X_{ndc} = X_{vmin} + (X_{vmax} - X_{vmin}) (X_{wc} - X_{wmin}) / (X_{wmax} - X_{wmin})
-\end{equation}
-\begin{equation}
-Y_{ndc} = Y_{vmin} + (Y_{vmax} - Y_{vmin}) (Y_{wc} - Y_{wmin}) / (Y_{wmax} - Y_{wmin})
-\end{equation}
-
-To convert from NDC to PDC:
-\begin{equation}
- X_{pdc} = X_{ndc} X_{pmax}
-\end{equation}
-\begin{equation}
- Y_{pdc} = X_{ndc} Y_{pmax}
-\end{equation}
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