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Small wording fixups.

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Raymond Hettinger 2004-08-26 03:11:56 +00:00
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Doc/lib/libdecimal.tex
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@ -839,7 +839,7 @@ fixed precision.
The effects of round-off error can be amplified by the addition or subtraction The effects of round-off error can be amplified by the addition or subtraction
of nearly offsetting quantities resulting in loss of significance. Knuth of nearly offsetting quantities resulting in loss of significance. Knuth
provides two instructive examples where rounded floating point arithmetic with provides two instructive examples where rounded floating point arithmetic with
insufficient precision causes the break down of the associative and insufficient precision causes the breakdown of the associative and
distributive properties of addition: distributive properties of addition:
\begin{verbatim} \begin{verbatim}
@ -893,7 +893,7 @@ The infinities are signed (affine) and can be used in arithmetic operations
where they get treated as very large, indeterminate numbers. For instance, where they get treated as very large, indeterminate numbers. For instance,
adding a constant to infinity gives another infinite result. adding a constant to infinity gives another infinite result.
Some operations are indeterminate and return \constant{NaN} or when the Some operations are indeterminate and return \constant{NaN}, or if the
\exception{InvalidOperation} signal is trapped, raise an exception. For \exception{InvalidOperation} signal is trapped, raise an exception. For
example, \code{0/0} returns \constant{NaN} which means ``not a number''. This example, \code{0/0} returns \constant{NaN} which means ``not a number''. This
variety of \constant{NaN} is quiet and, once created, will flow through other variety of \constant{NaN} is quiet and, once created, will flow through other
@ -909,11 +909,11 @@ result needs to interrupt a calculation for special handling.
The signed zeros can result from calculations that underflow. The signed zeros can result from calculations that underflow.
They keep the sign that would have resulted if the calculation had They keep the sign that would have resulted if the calculation had
been carried out to greater precision. Since their magnitude is been carried out to greater precision. Since their magnitude is
zero, the positive and negative zero are treated as equal and their zero, both positive and negative zeros are treated as equal and their
sign is informational. sign is informational.
In addition to the two signed zeros which are distinct, yet equal, In addition to the two signed zeros which are distinct yet equal,
there are various representations of zero with differing precisions, there are various representations of zero with differing precisions
yet equivalent in value. This takes a bit of getting used to. For yet equivalent in value. This takes a bit of getting used to. For
an eye accustomed to normalized floating point representations, it an eye accustomed to normalized floating point representations, it
is not immediately obvious that the following calculation returns is not immediately obvious that the following calculation returns