diff --git a/Doc/Sd1/languageFundamentals.xml b/Doc/Sd1/languageFundamentals.xml
index 8fa818bce5825321daf49c51468cc1e02bcc5bd3..5e410707fcf7244a1368359009a946c7918c22e2 100644
--- a/Doc/Sd1/languageFundamentals.xml
+++ b/Doc/Sd1/languageFundamentals.xml
@@ -1194,7 +1194,7 @@ Seconds:31</programlisting>
<qandaentry>
<question>
<para>A programmer named Joe intends to map <code>long</code>
- values to <code>int</code> values. This requires mapping the
+ values to <code>int</code> values. This requires scaling the
<code>long</code> data type's range <inlineequation>
<m:math display="inline">
<m:mrow>
@@ -1229,7 +1229,7 @@ Seconds:31</programlisting>
<m:mo>]</m:mo>
</m:mrow>
</m:math>
- </inlineequation> to an <code>int</code>'s range of
+ </inlineequation> down to an <code>int</code>'s range of
<inlineequation>
<m:math display="inline">
<m:mrow>
@@ -1264,142 +1264,75 @@ Seconds:31</programlisting>
<m:mo>]</m:mo>
</m:mrow>
</m:math>
- </inlineequation>. Joe's first attempt reads:</para>
+ </inlineequation>. </para>
- <programlisting language="java">final long longValue = ...;
- ...
-final int reducedValue = (int) (longValue / (2 * (Integer.MAX_VALUE + 1)));</programlisting>
-
- <para>Unfortunately the results are not promising. May you help
- Joe correcting his error? Provide an example showing the
- problem.</para>
- </question>
-
- <answer>
- <para>We consider:</para>
-
- <programlisting language="java">final long longValue = Long.MAX_VALUE;
-
-final int reducedValue = (int) (longValue / (2 * (Integer.MAX_VALUE + 1)));
-System.out.println(reducedValue);</programlisting>
-
- <para>The intended result should assign Integer.MAX_VALUE to the
- variable <code>reducedValue</code>. Actually Joe created a
- runtime error:</para>
-
- <programlisting language="none">Exception in thread "main" java.lang.ArithmeticException: / by zero</programlisting>
-
- <para>Joe's idea is dividing a long value reducing it to an
- <code>int</code> accordingly. Since
- <code>Integer.MAX_VALUE</code> is equal to <inlineequation>
+ <para>Joe thinks of dividing long values by <inlineequation>
<m:math display="inline">
- <m:mrow>
- <m:msup>
- <m:mi>2</m:mi>
-
- <m:mi>31</m:mi>
- </m:msup>
-
- <m:mo>-</m:mo>
+ <m:msup>
+ <m:mi>2</m:mi>
- <m:mi>1</m:mi>
- </m:mrow>
+ <m:mi>32</m:mi>
+ </m:msup>
</m:math>
- </inlineequation> Joe assumes <code>(2 * (Integer.MAX_VALUE +
- 1)</code> to be equal to <inlineequation>
+ </inlineequation>. As a result a long value of <inlineequation>
<m:math display="inline">
<m:mrow>
- <m:mrow>
- <m:mi>2</m:mi>
-
- <m:mo>×</m:mo>
-
- <m:msup>
- <m:mi>2</m:mi>
-
- <m:mi>31</m:mi>
- </m:msup>
- </m:mrow>
-
- <m:mo>=</m:mo>
+ <m:mo>-</m:mo>
<m:msup>
<m:mi>2</m:mi>
- <m:mi>32</m:mi>
+ <m:mi>63</m:mi>
</m:msup>
</m:mrow>
</m:math>
- </inlineequation>. Dividing a <code>long</code> indeed maps
+ </inlineequation> will be reduced to the intended value of
<inlineequation>
<m:math display="inline">
<m:mrow>
- <m:mo>[</m:mo>
-
- <m:mrow>
- <m:mrow>
- <m:mo>-</m:mo>
-
- <m:msup>
- <m:mi>2</m:mi>
-
- <m:mi>63</m:mi>
- </m:msup>
- </m:mrow>
-
- <m:mo>,</m:mo>
-
- <m:mrow>
- <m:msup>
- <m:mi>2</m:mi>
-
- <m:mi>63</m:mi>
- </m:msup>
-
- <m:mo>-</m:mo>
+ <m:mo>-</m:mo>
- <m:mi>1</m:mi>
- </m:mrow>
- </m:mrow>
+ <m:msup>
+ <m:mi>2</m:mi>
- <m:mo>]</m:mo>
+ <m:mi>31</m:mi>
+ </m:msup>
</m:mrow>
</m:math>
- </inlineequation> to <inlineequation>
+ </inlineequation>. Since <inlineequation>
<m:math display="inline">
- <m:mrow>
- <m:mo>[</m:mo>
-
- <m:mrow>
- <m:mrow>
- <m:mo>-</m:mo>
-
- <m:msup>
- <m:mi>2</m:mi>
+ <m:msup>
+ <m:mi>2</m:mi>
- <m:mi>31</m:mi>
- </m:msup>
- </m:mrow>
+ <m:mi>32</m:mi>
+ </m:msup>
+ </m:math>
+ </inlineequation> seems to be equal to <code>2 *
+ (Integer.MAX_VALUE + 1))</code> (why?) Joe's first attempt
+ reads:</para>
- <m:mo>,</m:mo>
+ <programlisting language="java">final long longValue = ...;
+ ...
+final int reducedValue = (int) (longValue / (2 * (Integer.MAX_VALUE + 1)));</programlisting>
- <m:mrow>
- <m:msup>
- <m:mi>2</m:mi>
+ <para>Unfortunately the results are not promising. May you help
+ Joe correcting his error? Provide an example showing the
+ problem.</para>
+ </question>
- <m:mi>31</m:mi>
- </m:msup>
+ <answer>
+ <para>We consider:</para>
- <m:mo>-</m:mo>
+ <programlisting language="java">final long longValue = Long.MAX_VALUE;
+
+final int reducedValue = (int) (longValue / (2 * (Integer.MAX_VALUE + 1)));
+System.out.println(reducedValue);</programlisting>
- <m:mi>1</m:mi>
- </m:mrow>
- </m:mrow>
+ <para>The intended result should assign Integer.MAX_VALUE to the
+ variable <code>reducedValue</code>. Actually Joe's attempt
+ creates a runtime error:</para>
- <m:mo>]</m:mo>
- </m:mrow>
- </m:math>
- </inlineequation>.</para>
+ <programlisting language="none">Exception in thread "main" java.lang.ArithmeticException: / by zero</programlisting>
<para>Unfortunately Joe's assumption is seriously flawed:</para>