Penultimate draft

[ipdf/sam.git] / chapters / Background / Floats.tex

diff --git a/chapters/Background/Floats.tex b/chapters/Background/Floats.tex
index 1be1113..17ec51c 100644 (file)
--- a/chapters/Background/Floats.tex
+++ b/chapters/Background/Floats.tex
@@ -3,12 +3,12 @@
 \input{chapters/Background/Floats/Visualisation}
 
 
-\subsection{Floating Point Operations}
-\input{chapters/Background/Floats/Operations}
+%\subsection{Floating Point Operations}
+%\input{chapters/Background/Floats/Operations}
 
 
-\subsection{Arbitrary Precision Floating Point Numbers}
+\section{Arbitrary Precision Floating Point Numbers}\label{Arbitrary Precision Floating Point Numbers}
 
-Arbitrary precision floating point numbers are implemented in a variety of software libraries which will dynamically allocate extra bits for the exponent or mantissa as required. An example is the GNU MPFR library discussed by Fousse in 2007\cite{fousse2007mpfr}. Although many arbitrary precision libraries already existed, MPFR intends to be fully compliant with some of the more obscure IEEE-754 requirements such as rounding rules and exceptions. 
+Arbitrary precision floating point numbers are implemented in a variety of software libraries which will allocate extra bits for the exponent or mantissa as required. An example is the GNU MPFR library discussed by Fousse in 2007\cite{fousse2007mpfr}. Although many arbitrary precision libraries already existed, MPFR intends to be fully compliant with some of the more obscure IEEE-754 requirements such as rounding rules and exceptions. 
 
-It is trivial to find real numbers that would require an infinite number of bits to represent exactly (for example, $\frac{1}{3} = 0.333333\text{...}$). The GMP and MPFR libraries require a fixed (but arbitrarily large) precision be set; although it is possible to increase or decrease the precision of individual numbers as desired.
+It is trivial to find real numbers that would require an infinite number of bits to represent exactly (for example, $\frac{1}{3} = 0.333333\text{...}$). The GMP and MPFR libraries require a fixed but arbitrarily large precision (size of the mantissa) be set; although it is possible to increase or decrease the precision of individual numbers as desired.