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Taddeüs Kroes
uva
Commits
62ef2c0d
Commit
62ef2c0d
authored
Feb 09, 2011
by
Sander Mathijs van Veen
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Fixed typo's
parent
7a7b83d6
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simmod/ass1/Makefile
simmod/ass1/Makefile
+1
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simmod/ass1/report.tex
simmod/ass1/report.tex
+4
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simmod/ass1/Makefile
View file @
62ef2c0d
...
...
@@ -21,7 +21,7 @@ speed: speed.c
touch
$@
pr
:
extra_precision.o
$(CC)
$(FLAGS)
-o
$@
$^
$(CC)
$(FLAGS)
-
mfpmath
=
387
-O2
-
o
$@
$^
fp
:
floating_point.o
$(CC)
$(FLAGS)
-o
$@
$^
...
...
simmod/ass1/report.tex
View file @
62ef2c0d
...
...
@@ -122,20 +122,20 @@ Type & N & Forward & Backward \\
\noindent
\textbf
{
Observations
}
\begin{itemize}
\item
Since the results for the
\texttt
{
double
}
data
type are ea
qual for both
\item
Since the results for the
\texttt
{
double
}
data
type are e
qual for both
the forward and backward summation approach, we can say that these are the
correct results.
\item
For the
\texttt
{
float
}
data type, we observe that the backward approach
yields a higher result than the forward approach. This can be explained as
follows. When using the forward approach, we start with a small
$
i
$
, thus
with a large
$
1
/
i
$
. This means that the initial value of
\texttt
{
sum
}
is
large. The value will keep growing until
l
the significance of
$
1
/
i
$
is too
large. The value will keep growing until the significance of
$
1
/
i
$
is too
small to add to the result. From this point, no more
$
1
/
i
$
will be added to
the result because the significane of the individual numbers is too small.
the result because the significan
c
e of the individual numbers is too small.
However, the sum of the ignored numbers would be a large enough number to
add to the result. This is why the backward approach yields a higher number:
the sum of the ignored numbers is computed and later the larger numbers
are added. The remaining i
n
precision is probably due to rounding problems and
are added. The remaining i
m
precision is probably due to rounding problems and
the fact that
$
1
/
10
^
8
$
and a range of larger numbers are represented as
zeroes in
\texttt
{
float
}
representation and therefore not added to the
result. This problem does not occur when using the
\texttt
{
double
}
data type
...
...
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