From 0f8e75393b859ea4b974948a86772b8abacebfc1 Mon Sep 17 00:00:00 2001 From: Sam Moore Date: Thu, 1 May 2014 14:37:37 +0800 Subject: [PATCH] Summarise kilgarde2012gpu and more Started by looking for papers on vector graphics displays, followed the citations forward in time, ended up at kilgard2012gpu Should at least mention the GPU approaches in the Literature Review and ideally explore how this may affect the precision because of how GPUs deal with floats compared to IEEE CPUs. --- LiteratureNotes.pdf | Bin 264058 -> 272277 bytes LiteratureNotes.tex | 109 ++++++++++++++++++++++++++ papers.bib | 49 ++++++++++++ references/brassel1979analgorithm.pdf | Bin 0 -> 633096 bytes references/lane1983analgorithm.pdf | Bin 0 -> 286613 bytes 5 files changed, 158 insertions(+) create mode 100644 references/brassel1979analgorithm.pdf create mode 100644 references/lane1983analgorithm.pdf diff --git a/LiteratureNotes.pdf b/LiteratureNotes.pdf index 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It is big. +\begin{itemize} + \item First version was published BEFORE the IEEE standard and used smaller floats than binary32 + \item Now uses binary32 floats. +\end{itemize} + \section{Portable Document Format Reference Manual \cite{pdfref17}} Adobe's official reference for PDF. It is also big. +\begin{itemize} + \item Early versions did not use IEEE binary32 but 16-16 exponent/mantissa encodings (Why?) + \item Current standard is restricted to binary32 + \item It specifically says PDF creators must use at most binary32 because higher precision is not supported by Adobe Reader. +\end{itemize} + \section{IEEE Standard for Floating-Point Arithmetic \cite{ieee2008-754}} The IEEE (revised) 754 standard. It is also big. +Successes: +\begin{itemize} + \item Has been adopted by CPUs + \item Standardised floats for programmers --- accomplishes goal of allowing non-numerical experts to write reasonably sophisticated platform independent programs that may perform complex numerical operations +\end{itemize} + +Failures: +\begin{itemize} + \item Adoption by GPUs slower\cite{hillesland2004paranoia} + \item It specifies the maximum errors for operations using IEEE types but nothing about internal representations + \item Many hardware devices (GPUs and CPUs) use non-IEEE representations internally and simply truncate/round the result + \begin{itemize} + \item This isn't so much of a problem when the device uses additional bits but it is misleading when GPUs use less than binary32 and act as if they are using binary32 from the programmer's perspective. + \item Devices using {\bf less} bits internally aren't IEEE compliant + \end{itemize} + \item Thus the same program compiled and run on different architectures may give completely different results\cite{HFP} + \begin{itemize} + \item The ultimate goal of allowing people to write numerical programs in total ignorance of the hardware is not entirely realised + \end{itemize} + \item This is the sort of thing that makes people want to use a virtual machine, and thus Java + \begin{itemize} + \item Objectively I probably shouldn't say that using Java is in itself a failure + \end{itemize} + \item Standards such as PostScript and PDF were slow to adopt IEEE representations + \item The OpenVG standard accepts IEEE binary32 in the API but specifically states that hardware may use less than this\cite{rice2008openvg} +\end{itemize} + \pagebreak @@ -389,6 +427,8 @@ Performance was much improved over the software rasterization and over XRender a on all except nVidia hardware. However, nVidia's XRender implementation did slow down significantly when some transformations were applied. +In \cite{kilgard2012gpu}, Kilgard mentions that Glitz has been abandoned. He describes it as ''GPU assisted'' rather than GPU accelerated, since it used the XRender (??) extension. + %% Sam again \section{Boost Multiprecision Library \cite{boost_multiprecision}} @@ -429,6 +469,8 @@ It is probably not that useful, I don't think we'll end up writing FPU assembly? FPU's typically have 80 bit registers so they can support REAL4, REAL8 and REAL10 (single, double, extended precision). +Note: Presumably this is referring to the x86 80 bit floats that David was talking about? + \section{Floating Point Package User's Guide \cite{bishop2008floating}} @@ -702,6 +744,73 @@ Example of XML parsing using pugixml is in \shell{code/src/tests/xml.cpp} \caption{Tree representation of the above listing \cite{pugixmlDOM}} \end{figure} +\section{An Algorithm For Shading of Regions on Vector Display Devices \cite{brassel1979analgorithm}} + +All modern display devices are raster based and therefore this paper is mainly of historical interest. It provides some references for shading on a raster display. + +The algorithm described will shade an arbitrary simply-connected polygon using one or two sets of parallel lines. + +The ``traditional'' method is: +\begin{enumerate} + \item Start with a $N$ vertex polygon, rotate coords by the shading angle + \item Determine a bounding rectangle + \item For $M$ equally spaced parallel lines, compute the intersections with the boundaries of the polygon + \item Rotate coordinates back + \item Render the $M$ lines +\end{enumerate} + +This is pretty much exactly how an artist would shade a pencil drawing. It is $O(M\times N)$. + +The algorithm in this paper does: +\begin{enumerate} + \item Rotate polygon coords by shading angle + \item Subdivide the polygon into trapezoids (special case triangle) + \item Shade the trapezoids independently + \item Rotate it all back +\end{enumerate} +It is more complicated than it seems. The subdivision requires a sort to be performed on the vertices of the polygon based on their rotated $x$ and $y$ coordinates. + +\section{An Algorithm For Filling Regions on Graphics Display Devices \cite{lane1983analgorithm}} + +This gives an algorithm for for polygons (which may have ``holes''). +It requires the ability to ``subtract'' fill from a region; this is (as far as I can tell) difficult for vector graphics devices but simple on raster graphics devices, so the paper claims it is oriented to the raster graphics devices. + +If the polygon is defined by $(x_i, y_i)$ then this algorithm iterates from $i = 2$ and alternates between filling and erasing the triangles $[(x_i, y_i), (x_{i+1}, y_{i+1}), (x_1, y_1)]$. It requires no sorting of the points. + +The paper provides a proof that the algorithm is correct and is ``optimal in the number of pixel updates required for convex polygons''. +In the conclusion it is noted that trapezoids could be used from a fixed line and edge of the polygon, but this is not pixel optimal. + +This paper doesn't have a very high citation count but it is cited by the NVIDIA article \cite{kilgard2012gpu}. +Apparently someone else adapted this algorithm for use with the stencil buffer. + +\section{GPU-accelerated path rendering \cite{kilgard2012gpu, kilgard300programming}} + +Vector graphics on the GPU; an NVIDIA extension. \cite{kilgard300programming} is the API. + +Motivations: +\begin{itemize} + \item The focus has been on 3D acceleration in GPUs; most path rendering is done by the CPU. + \item Touch devices allow the screen to be transformed rapidly; CPU rastering of the path becomes inefficient + \begin{itemize} + \item The source of the ugly pixelated effects on a smartphone when scaling? + \end{itemize} + \item Especially when combined with increased resolution of these devices + \item Standards such as HTML5, SVG, etc, expose path rendering + \item Javascript is getting fast enough that we can't blame it anymore (the path rendering is the bottleneck not the JS) + \item GPU is more power efficient than the CPU +\end{itemize} + +Results show the extension is faster than almost every renderer it was compared with for almost every test image. + +Comparisons to other attempts: +\begin{itemize} + \item Cairo and Glitz \cite{nilsson2004glitz} (abandoned) +\ \item Direct2D from Microsoft uses CPU to tesselate trapezoids and then renders these on the GPU + \item Skia in Android/Chrome uses CPU but now has Ganesh which is also hybrid CPU/GPU + \item Khronos Group created OpenVG\cite{rice2008openvg} with several companies creating hardware units to implement the standard. Performance is not as good as ``what we report'' +\end{itemize} + + \chapter{General Notes} \section{The DOM Model} diff --git a/papers.bib b/papers.bib index 7ca29f4..e99c9c8 100644 --- a/papers.bib +++ b/papers.bib @@ -632,3 +632,52 @@ language={English} journal = "pugixml 1.4 manual", howpublished = "http://pugixml.googlecode.com/svn/tags/latest/docs/manual/dom.html" } + +% Rendering vector graphics on vector display devices (historical) +%Brassel:1979:ASR:965103.807434, +@article{brassel1979analgorithm, + author = {Brassel, Kurt E. and Fegeas, Robin}, + title = {An Algorithm for Shading of Regions on Vector Display Devices}, + journal = {SIGGRAPH Comput. Graph.}, + issue_date = {August 1979}, + volume = {13}, + number = {2}, + month = aug, + year = {1979}, + issn = {0097-8930}, + pages = {126--133}, + numpages = {8}, + url = {http://doi.acm.org.ezproxy.library.uwa.edu.au/10.1145/965103.807434}, + doi = {10.1145/965103.807434}, + acmid = {807434}, + publisher = {ACM}, + address = {New York, NY, USA}, + keywords = {Cartography, Computer graphics, Line-drawing processing, Polygons, Shading, Software, Spatial information}, +} +%Lane:1983:AFR:357323.357326, +@article{lane1983analgorithm, + author = {Lane, J. M. and M. Rarick, R. and}, + title = {An Algorithm for Filling Regions on Graphics Display Devices}, + journal = {ACM Trans. Graph.}, + issue_date = {July 1983}, + volume = {2}, + number = {3}, + month = jul, + year = {1983}, + issn = {0730-0301}, + pages = {192--196}, + numpages = {5}, + url = {http://doi.acm.org.ezproxy.library.uwa.edu.au/10.1145/357323.357326}, + doi = {10.1145/357323.357326}, + acmid = {357326}, + publisher = {ACM}, + address = {New York, NY, USA}, +} + +@article{hillesland2004paranoia, + author = "Karl E Hillesland and Anselmo Lastra", + title = "GPU Floating-Point Paranoia", + journal = "Proceedings of GP 2004", + year = 2004, + url = "\url{http://www.cs.unc.edu/~ibr/projects/paranoia/}" +} diff --git a/references/brassel1979analgorithm.pdf b/references/brassel1979analgorithm.pdf new file mode 100644 index 0000000000000000000000000000000000000000..d0c4a3b407e2be0d0b78e53ce8c54119e543f6f8 GIT binary patch literal 633096 zcmbTdbzGF&_CKzOG)PKF3?U&kbax2SAR$PMgmgE;AT1qAw=}}gDU5*9lF}U_A)Nv< z&u{d^z2~0u`h4&GJ^##pHhb^2_loygdp(Q$n(~UAJY0PE_gB}3$MJFa_<2BJkkd0; 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