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<chapter annotations="slide" version="5.1"
xml:id="sd1_workingWithNumbers_chap"
xmlns="http://docbook.org/ns/docbook"
xmlns:xlink="http://www.w3.org/1999/xlink"
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xmlns:html="http://www.w3.org/1999/xhtml"
xmlns:db="http://docbook.org/ns/docbook">
<title>Working with Numbers</title>
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<section xml:id="sd1_numbers_sect_boxAndUnbox">
<title>Boxing and Unboxing</title>
<figure xml:id="sd1_numbers_fig_stack">
<title><classname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/util/Stack.html">Stack</classname>
of integer values</title>
<informaltable border="0">
<colgroup width="83%"/>
<colgroup width="17%"/>
<tr>
<td valign="top"><programlisting language="java">final Stack<Integer> values = new Stack<>();
values.push(3);
values.push(1);
values.push(10);
while (!values.empty()) {
final int i = values.pop();
System.out.println(i);
}</programlisting></td>
<td valign="top"><screen>10
1
3</screen></td>
</tr>
</informaltable>
</figure>
<figure xml:id="sd1_numbers_fig_collectionProperties">
<title><xref linkend="glo_Java"/> collection features</title>
<itemizedlist>
<listitem>
<para>Supports searching of objects based on:</para>
<itemizedlist>
<listitem>
<para><methodname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Object.html#equals-java.lang.Object-">public
boolean equals</methodname>(<classname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Object.html">Object</classname>
obj)</para>
</listitem>
<listitem>
<para><methodname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Object.html#hashCode--">public
int hashCode()</methodname></para>
</listitem>
</itemizedlist>
</listitem>
<listitem>
<para>Objects only, no primitive types!</para>
</listitem>
</itemizedlist>
</figure>
<figure xml:id="sd1_numbers_fig_stackBehindTheScenes">
<title>Behind the scenes</title>
<informaltable border="0">
<colgroup width="48%"/>
<colgroup width="50%"/>
<tr>
<td valign="top"><programlisting language="java">final Stack<Integer> values =
new Stack<>();
values.push(3);
values.push(1);
values.push(10);
while (!values.empty()) {
System.out.println(values.pop().
getClass().getTypeName());
}</programlisting></td>
<td valign="top"><screen>java.lang.Integer
java.lang.Integer
java.lang.Integer</screen></td>
</tr>
</informaltable>
</figure>
<figure xml:id="sd1_numbers_fig_boxingAndUnboxing">
<title><link
xlink:href="https://docs.oracle.com/javase/tutorial/java/data/autoboxing.html">Boxing
and unboxing</link></title>
<informaltable border="0">
<colgroup width="50%"/>
<colgroup width="50%"/>
<tr>
<td valign="top"><programlisting language="none">int iPrimitive <co
linkends="sd1_numbers_fig_boxingAndUnboxing-1"
xml:id="sd1_numbers_fig_boxingAndUnboxing-1-co"/> = 7;
Integer iInteger = <co linkends="sd1_numbers_fig_boxingAndUnboxing-2"
xml:id="sd1_numbers_fig_boxingAndUnboxing-2-co"/>
iPrimitive;
int iPrimitiveFromInteger = <co linkends="sd1_numbers_fig_boxingAndUnboxing-3"
xml:id="sd1_numbers_fig_boxingAndUnboxing-3-co"/>
iInteger;</programlisting></td>
<td valign="top"><programlisting language="none">int iPrimitive <co
linkends="sd1_numbers_fig_conventional-1"
xml:id="sd1_numbers_fig_conventional-1-co"/> = 7;
Integer iInteger = <co linkends="sd1_numbers_fig_conventional-2"
xml:id="sd1_numbers_fig_conventional-2-co"/>
Integer.valueOf(iPrimitive);
int iPrimitiveFromInteger = <co linkends="sd1_numbers_fig_conventional-3"
xml:id="sd1_numbers_fig_conventional-3-co"/>
iInteger.intValue();</programlisting></td>
</tr>
</informaltable>
</figure>
<informaltable border="1">
<colgroup width="50%"/>
<colgroup width="50%"/>
<tr>
<th>Boxing and unboxing</th>
<th><quote>Conventional</quote> <xref linkend="glo_Java"/></th>
</tr>
<tr>
<td valign="top"><calloutlist>
<callout arearefs="sd1_numbers_fig_boxingAndUnboxing-1-co"
xml:id="sd1_numbers_fig_boxingAndUnboxing-1">
<para>Defining a primitive <code language="java">int</code>
value.</para>
</callout>
<callout arearefs="sd1_numbers_fig_boxingAndUnboxing-2-co"
xml:id="sd1_numbers_fig_boxingAndUnboxing-2">
<para>Creating an instance of <classname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Integer.html">Integer</classname>
by means of boxing.</para>
</callout>
<callout arearefs="sd1_numbers_fig_boxingAndUnboxing-3-co"
xml:id="sd1_numbers_fig_boxingAndUnboxing-3">
<para>Assigning an <classname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Integer.html">Integer</classname>'s
value to a primitive <code language="java">int</code> by means
of unboxing.</para>
</callout>
</calloutlist></td>
<td valign="top"><calloutlist>
<callout arearefs="sd1_numbers_fig_conventional-1-co"
xml:id="sd1_numbers_fig_conventional-1">
<para>Defining a primitive <code language="java">int</code>
value.</para>
</callout>
<callout arearefs="sd1_numbers_fig_conventional-2-co"
xml:id="sd1_numbers_fig_conventional-2">
<para>Creating a new instance of <classname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Integer.html">Integer</classname>
using the class method <methodname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Integer.html#valueOf-int-">Integer
valueOf(int i)</methodname>.</para>
</callout>
<callout arearefs="sd1_numbers_fig_conventional-3-co"
xml:id="sd1_numbers_fig_conventional-3">
<para>Assigning an <classname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Integer.html">Integer</classname>'s
value to a primitive <code language="java">int</code> using the
<methodname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Integer.html#intValue--">int
intValue()</methodname> instance method.</para>
</callout>
</calloutlist></td>
</tr>
</informaltable>
<figure xml:id="sd1_numbers_fig_stackBoxUnboxVsConventional">
<title><classname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/util/Stack.html">Stack</classname>
usage comparison</title>
<informaltable border="0">
<colgroup width="50%"/>
<colgroup width="50%"/>
<tr>
<td valign="top"><programlisting language="java">final Stack<Integer> values
= new Stack<>();
values.push(Integer.valueOf(3));
values.push(Integer.valueOf(1));
values.push(Integer.valueOf(10));
while (!values.empty()) {
System.out.println(values.pop().intValue());
}</programlisting></td>
<td valign="top"><programlisting language="java">final Stack<Integer> values =
new Stack<>();
values.push(3);
values.push(1);
values.push(10);
while (!values.empty()) {
System.out.println(values.pop());
}</programlisting></td>
</tr>
</informaltable>
</figure>
</section>
<section xml:id="sd1_numbers_sect_numberParsing">
<title>Number Parsing</title>
<figure xml:id="sd1_numbers_fig_parseIntegerString">
<title> Parsing <classname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Integer.html">Integer</classname>
user input</title>
<informaltable border="0">
<colgroup width="65%"/>
<colgroup width="35%"/>
<tr>
<td valign="top"><programlisting language="java">String userInput = "dummyValue";
try (final Scanner scanner =
new Scanner(System.in)){
System.out.print("Enter an integer:");
userInput = scanner.nextLine();
final int value = Integer.parseInt(userInput);
System.out.println("You entered " + value);
} catch (final NumberFormatException e) {
System.out.println("Sorry, but '" +
userInput + "' is not an integer.");
}</programlisting></td>
<td valign="top"><screen>Enter an integer:-34
You entered -34</screen><screen>Enter an integer:five
Sorry, but 'five' is
not an integer.</screen></td>
</tr>
</informaltable>
</figure>
<qandaset defaultlabel="qanda" xml:id="sd1_numbers_qanda_whyDummyString">
<title>Why using <code language="java">String userInput =
"dummyValue"</code>?</title>
<qandadiv>
<qandaentry>
<question>
<para>The former listing initializes the <code
language="java">userInput</code> variable using a default value
<code language="java">"dummyValue"</code>. Why is that?</para>
<orderedlist>
<listitem>
<para>The variable <code language="java">userInput</code> is
being assigned inside the <code language="java">try
{...}</code> block before being used in any assignment.</para>
</listitem>
<listitem>
<para>The <methodname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/util/Scanner.html#nextLine--">Scanner.nextLine()</methodname>
method does not throw a <classname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/NumberFormatException.html">NumberFormatException</classname>.
Thus the only way to enter the <code language="java">catch
{...}</code> clause is by executing of <code
language="java">Integer.parseInt(userInput)</code> yielding a
<classname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/NumberFormatException.html">NumberFormatException</classname>
. But this execution happens <emphasis>after</emphasis>
assigning <code language="java">userInput =
scanner.nextLine()</code>.</para>
</listitem>
</orderedlist>
<para>So the dummy assignment <code language="java">String
userInput = "dummyValue"</code> seems to be redundant. Is that
true?</para>
</question>
<answer>
<para>Actually the <xref linkend="glo_Java"/> compiler is not
clever enough analyzing the <code language="java">try {...}</code>
block. It cannot detect the impossibility of an uninitialized
<code language="java">userInput</code> variable inside the <code
language="java">catch {...}</code> clause.</para>
<para>Since the possibility of am uninitialized <code
language="java">userInput</code> variable using just <code
language="java">String userInput;</code> causes a compile time
error <code>Variable 'userInput' might not have been
initialized</code>.</para>
<para>Thus <code language="java">String userInput = null</code>
would be appropriate as well since the value will actually never
be used.</para>
</answer>
</qandaentry>
</qandadiv>
</qandaset>
<figure xml:id="sd1_numbers_fig_parseIntegerToRadix">
<title>Parsing binary representation</title>
<informaltable border="0">
<colgroup width="50%"/>
<colgroup width="50%"/>
<tr>
<td valign="top"><programlisting language="java">final int value = Integer.parseInt("1101", 2);
System.out.println("Value: " + value);</programlisting><screen>Value: 13</screen></td>
<td valign="top"><programlisting language="java">final int value = Integer.parseInt("201", 2);
System.out.println("Value: " + value)</programlisting><screen>Exception in thread "main"
java.lang.NumberFormatException:
For input string: "201"
...
at de.hdm_stuttgart.sd1...</screen></td>
</tr>
</informaltable>
</figure>
<figure xml:id="sd1_numbers_fig_parseMethods">
<title>Standard parse methods</title>
<informaltable border="0">
<colgroup width="50%"/>
<colgroup width="50%"/>
<tr>
<td valign="top"><itemizedlist>
<listitem>
<para><methodname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Byte.html#parseByte-java.lang.String-">parseByte()</methodname></para>
</listitem>
<listitem>
<para><methodname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Short.html#parseShort-java.lang.String-">parseShort()</methodname></para>
</listitem>
<listitem>
<para><methodname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Integer.html#parseInt-java.lang.String-">parseInt()</methodname></para>
</listitem>
<listitem>
<para><methodname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Long.html#parseLong-java.lang.String-">parseLong()</methodname></para>
</listitem>
</itemizedlist></td>
<td valign="top"><itemizedlist>
<listitem>
<para><methodname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Float.html#parseFloat-java.lang.String-">parseFloat()</methodname></para>
</listitem>
<listitem>
<para><methodname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Double.html#parseDouble-java.lang.String-">parseDouble()</methodname></para>
</listitem>
<listitem>
<para><methodname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Boolean.html#parseBoolean-java.lang.String-">parseBoolean()</methodname></para>
</listitem>
</itemizedlist></td>
</tr>
</informaltable>
</figure>
<qandaset defaultlabel="qanda" xml:id="sd1_numbers_qanda_parseShortResult">
<title>Parsing <code language="java">short</code> values</title>
<qandadiv>
<qandaentry>
<question>
<para>Which outcome do you expect? Try to answer without prior
execution.</para>
<programlisting language="java">System.out.println(Short.parseShort("32767"));
System.out.println(Short.parseShort("32768"));</programlisting>
<para>Explain the result.</para>
</question>
<answer>
<para><code language="java"
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Short.html#MAX_VALUE">MAX_VALUE</code>
for primitive type <code language="java"
xlink:href="https://docs.oracle.com/javase/specs/jls/se7/html/jls-4.html#jls-4.2.1-100-B">short</code>
is <inlineequation>
<m:math display="inline">
<m:mrow>
<m:msup>
<m:mi>2</m:mi>
<m:mrow>
<m:mi>16</m:mi>
<m:mo>-</m:mo>
<m:mi>1</m:mi>
</m:mrow>
</m:msup>
<m:mo>-</m:mo>
<m:mi>1</m:mi>
</m:mrow>
</m:math>
</inlineequation> which equals 32767. Thus 32786 is no longer
assignment compatible. So the first line will execute well but the
second one yields a <classname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/NumberFormatException.html">NumberFormatException</classname>
at runtime :</para>
<screen>Value:32767
Exception in thread "main" java.lang.NumberFormatException:
Value out of range. Value:"32768" Radix:10 at
java.lang.Short.parseShort(Short.java:120)
at java.lang.Short.parseShort(Short.java:144)
at de.hdm_stuttgart.sd1.ParseShortTooBig.main(ParseShortTooBig.java:8)</screen>
</answer>
</qandaentry>
</qandadiv>
</qandaset>
<qandaset defaultlabel="qanda" xml:id="sd1_numbers_qanda_parseHexadecimal">
<title>Parsing <code language="java">short</code> values in hexadecimal
representation</title>
<qandadiv>
<qandaentry>
<question>
<para>An image processing application yields the following type of
data:</para>
<programlisting language="java">String[] values = {"C9", "AF3", "B"}; // Hexadecimal string values</programlisting>
<para>We are looking for a class method parsing these hex values
and converting them to <code language="java">short</code>:</para>
<programlisting language="java">/**
* Convert a numerical value given as hexadecimal string to
* its counterpart of type short. Example:
*
* "2B" equals 2 * 16 + 11 == 43
*
* @param input String containing hexadecimal value.
* @return the parsed short value.
*/
public static short getHexadecimal(final String input) {
...
return ...;
}</programlisting>
<para>The provided sample data may then be processed like:</para>
<programlisting language="java">final String[] values = {"C9", "AF3", "B"};
for (final String value: values) {
System.out.println(value + ": " + getHexadecimal(value));
}</programlisting>
<para>Result:</para>
<screen>C9: 201
AF3: 2803
B: 11</screen>
<tip>
<para>Have a look to the binary parse example and think about
representations.</para>
</tip>
</question>
<answer>
<para>Hexadecimal representation uses a radix value of 16 to be
passed to <methodname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Short.html#parseShort-java.lang.String-int-">short
parseShort(String s, int radix)</methodname>:</para>
<programlisting language="java">/**
* Convert a numerical value given as hexadecimal string to
* its counterpart of type short. Example:
*
* "2B" equals 2 * 16 + 11 == 43
*
* @param input String containing hexadecimal value.
* @return the parsed short value.
*/
public static short getHexadecimal(final String input) {
return Short.parseShort(input, 16);
}</programlisting>
</answer>
<answer>
<para><code language="java"
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/Short.html#MAX_VALUE">MAX_VALUE</code>
for primitive type <code language="java"
xlink:href="https://docs.oracle.com/javase/specs/jls/se7/html/jls-4.html#jls-4.2.1-100-B">short</code>
is <inlineequation>
<m:math display="inline">
<m:mrow>
<m:msup>
<m:mi>2</m:mi>
<m:mrow>
<m:mi>16</m:mi>
<m:mo>-</m:mo>
<m:mi>1</m:mi>
</m:mrow>
</m:msup>
<m:mo>-</m:mo>
<m:mi>1</m:mi>
</m:mrow>
</m:math>
</inlineequation> which equals 32767. Thus 32786 is no longer
assignment compatible. So the first line will execute well but the
second one yields a <classname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/lang/NumberFormatException.html">NumberFormatException</classname>
at runtime :</para>
<screen>Value:32767
Exception in thread "main" java.lang.NumberFormatException:
Value out of range. Value:"32768" Radix:10 at
java.lang.Short.parseShort(Short.java:120)
at java.lang.Short.parseShort(Short.java:144)
at de.hdm_stuttgart.sd1.ParseShortTooBig.main(ParseShortTooBig.java:8)</screen>
</answer>
</qandaentry>
</qandadiv>
</qandaset>
</section>
<section xml:id="sd1_numbers_sect_NumberFormatting">
<title>Number Formatting</title>
<para/>
<qandaset defaultlabel="qanda"
xml:id="sd1_numbers_qanda_formatIntDoubleDate">
<title>Formatting <code language="java">int</code>, <code
language="java">double</code> and <classname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/time/LocalDate.html">LocaleDate</classname></title>
<qandadiv>
<qandaentry>
<question>
<para>Implement the following three overloaded class
methods:</para>
<programlisting language="java">/**
* Print an int value using the given locale. Example:
*
* Using Locale.GERMANY a value of 1234567 should appear as "1.234.567"
*
* @param value The value to be formatted.
* @param locale The locale to be used.
*/
static public void print(final int value, final Locale locale) {...}</programlisting>
<programlisting language="java">/**
* Print a double value using the given locale. Example:
*
* Using Locale.GERMANY a value of -123.456789 should appear as "-123,457"
*
* @param value The value to be formatted.
* @param locale The locale to be used.
*/
static public void print(final double value, final Locale locale) {...}</programlisting>
<programlisting language="java">/**
* Print a {@link LocalDate} value using the given locale. Example:
*
* Using Locale.GERMANY the 22-nd of december 2024 should appear as "22. Dezember 2024".
*
* @param value The value to be formatted.
* @param locale The locale to be used.
*/
static public void print(final LocalDate date, final Locale locale) {...}</programlisting>
<para>You may use them as:</para>
<programlisting language="java">for (final Locale locale : new Locale[]{Locale.GERMANY, Locale.JAPAN, Locale.US}) {
System.out.println("Locale " + locale.getDisplayCountry());
print(1234567, locale);
print(-123.456789, locale);
print(LocalDate.of(2024, Month.DECEMBER, 22), locale);
System.out.println("----------------------\n");
}</programlisting>
<para>The expected output reads:</para>
<screen>Locale Germany
1.234.567
-123,457
22. Dezember 2024
----------------------
Locale Japan
1,234,567
-123.457
2024/12/22
----------------------
Locale United States
1,234,567
-123.457
December 22, 2024
----------------------</screen>
<tip>
<itemizedlist>
<listitem>
<para>Read the <classname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/text/NumberFormat.html">NumberFormat</classname>
documentation and its <methodname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/text/NumberFormat.html#getInstance-java.util.Locale-">static
NumberFormat getInstance(Locale inLocale)</methodname> in
particular. Also note its multiply overloaded
<methodname>String format(...)</methodname> methods partly
suiting your data type requirements.</para>
</listitem>
<listitem>
<para>Regarding dates you may want to consider <classname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/time/format/DateTimeFormatter.html">DateTimeFormatter</classname>
providing the <methodname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/time/format/DateTimeFormatter.html#ofLocalizedDate-java.time.format.FormatStyle-">static
DateTimeFormatter ofLocalizedDate(FormatStyle
dateStyle)</methodname> method. Then read about class
<classname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/time/format/FormatStyle.html">FormatStyle</classname>
and the <methodname
xlink:href="https://docs.oracle.com/javase/9/docs/api/java/time/format/DateTimeFormatter.html#withLocale-java.util.Locale-">DateTimeFormatter
withLocale(Locale locale)</methodname> method.</para>
</listitem>
</itemizedlist>
</tip>
</question>
<answer>
<para>Implementing the first two methods is relatively
simple:</para>
<programlisting language="java">/**
* Print an int value using the given locale. Example:
*
* Using Locale.GERMANY a value of 1234567 should appear as "1.234.567"
*
* @param value The value to be formatted.
* @param locale The locale to be used.
*/
static public void print(final int value, final Locale locale) {
final NumberFormat numberFormat = NumberFormat.getInstance(locale);
System.out.println(numberFormat.format(value));
}</programlisting>
<programlisting language="java">/**
* Print a double value using the given locale. Example:
*
* Using Locale.GERMANY a value of -123.456789 should appear as "-123,457"
*
* @param value The value to be formatted.
* @param locale The locale to be used.
*/
static public void print(final double value, final Locale locale) {
final NumberFormat numberFormat = NumberFormat.getInstance(locale);
System.out.println(numberFormat.format(value));
}</programlisting>
<para>Processing dates is a bit cumbersome:</para>
<programlisting language="java">/**
* Print a {@link LocalDate} value using the given locale. Example:
*
* Using Locale.GERMANY the 22-nd of december 2024 should appear as "22. Dezember 2024".
*
* @param value The value to be formatted.
* @param locale The locale to be used.
*/
static public void print(final LocalDate date, final Locale locale) {
final DateTimeFormatter dateFormat =
DateTimeFormatter.ofLocalizedDate(FormatStyle.LONG).withLocale(locale);
System.out.println(dateFormat.format(date));
}</programlisting>
</answer>
</qandaentry>
</qandadiv>
</qandaset>
</section>
<section xml:id="sd1_numbers_sect_java.lang.Math">
<title>The java.lang.Math Class</title>
<para/>
</section>
<section xml:id="sd1_numbers_sect_WorkingwithMoney">
<title>Working with Money</title>
<para/>
</section>
<section xml:id="sd1_numbers_sect_GeneratingRandomNumbers">
<title>Generating Random Numbers</title>