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[ipdf/sam.git] / chapters / Progress.tex

diff --git a/chapters/Progress.tex b/chapters/Progress.tex
index 93b9b76..5727c2a 100644 (file)
--- a/chapters/Progress.tex
+++ b/chapters/Progress.tex
@@ -28,6 +28,9 @@ The literature examined in Chapter\ref{Background} can broadly classed into thre
 To improve the Literature Review we could consider the following topics in more detail:
 \begin{enumerate}
        \item Additional approaches to arbitrary precision possibly including symbolic computation
+       \begin{itemize}
+               \item The Mathematica computational package claims to use symbolic computation, but we have yet to explore this field
+       \end{itemize}
        \item Floating point errors in the context of computing B\'{e}zier Curves or similar
        \item Algorithms for reducing overall error other than Fast2Sum
        \item Alternative number representations such as rationals (eg: $\frac{1}{3}$)
@@ -57,7 +60,7 @@ An open source Virtual FPU implemented in the VHDL language has been successfull
 
 Mainly motivated by producing Figure \ref{minifloat.pdf} we have also implemented functions to convert an arbitrary \verb/Real/ type (which may be IEEE-754 floats) to and from a fixed size floating point representation of our choosing. We have not implemented any operations for floating point arithmetic using these representations.
 
-By using the functions to convert real numbers to variable precision floats as an interface for the virtual FPU, we hope to illustrate the limitations of floating point arithmetic more clearly than would be possible using IEEE-754 binary32 as is native to the C and C++ languages.
+By using the functions to convert real numbers to variable precision floats as an interface for the virtual FPU, we hope to illustrate the limitations of floating point arithmetic more clearly than would be possible using IEEE-754 binary32 as is native to the C and C++ languages. Using the virtual FPU instead of a CPU based software library will prove useful for determining the exact performance of floating point operations.
 
 \section{Prototype Document Formats}