Add merge sort algorithm

This commit is contained in:
William Brawner 2018-10-05 02:20:16 -05:00
parent e761b0c857
commit db62e6140b
23 changed files with 624 additions and 0 deletions

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.idea/compiler.xml Normal file
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<?xml version="1.0" encoding="UTF-8"?>
<project version="4">
<component name="CompilerConfiguration">
<bytecodeTargetLevel>
<module name="algorithms_main" target="1.8" />
<module name="algorithms_test" target="1.8" />
<module name="sorting_main" target="1.8" />
<module name="sorting_test" target="1.8" />
</bytecodeTargetLevel>
</component>
</project>

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.idea/gradle.xml Normal file
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<?xml version="1.0" encoding="UTF-8"?>
<project version="4">
<component name="GradleSettings">
<option name="linkedExternalProjectsSettings">
<GradleProjectSettings>
<option name="distributionType" value="DEFAULT_WRAPPED" />
<option name="externalProjectPath" value="$PROJECT_DIR$" />
<option name="modules">
<set>
<option value="$PROJECT_DIR$" />
<option value="$PROJECT_DIR$/sorting" />
</set>
</option>
</GradleProjectSettings>
</option>
</component>
</project>

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.idea/misc.xml Normal file
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<project version="4">
<component name="ProjectRootManager" version="2" languageLevel="JDK_1_8" default="false" project-jdk-name="1.8" project-jdk-type="JavaSDK">
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.idea/modules.xml Normal file
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<?xml version="1.0" encoding="UTF-8"?>
<project version="4">
<component name="ProjectModuleManager">
<modules>
<module fileurl="file://$PROJECT_DIR$/.idea/modules/algorithms.iml" filepath="$PROJECT_DIR$/.idea/modules/algorithms.iml" />
<module fileurl="file://$PROJECT_DIR$/.idea/modules/algorithms_main.iml" filepath="$PROJECT_DIR$/.idea/modules/algorithms_main.iml" group="algorithms" />
<module fileurl="file://$PROJECT_DIR$/.idea/modules/algorithms_test.iml" filepath="$PROJECT_DIR$/.idea/modules/algorithms_test.iml" group="algorithms" />
<module fileurl="file://$PROJECT_DIR$/.idea/modules/sorting.iml" filepath="$PROJECT_DIR$/.idea/modules/sorting.iml" group="sorting" />
<module fileurl="file://$PROJECT_DIR$/.idea/modules/sorting/sorting_main.iml" filepath="$PROJECT_DIR$/.idea/modules/sorting/sorting_main.iml" group="sorting" />
<module fileurl="file://$PROJECT_DIR$/.idea/modules/sorting/sorting_test.iml" filepath="$PROJECT_DIR$/.idea/modules/sorting/sorting_test.iml" group="sorting" />
</modules>
</component>
</project>

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<?xml version="1.0" encoding="UTF-8"?>
<module external.linked.project.id="algorithms" external.linked.project.path="$MODULE_DIR$/../.." external.root.project.path="$MODULE_DIR$/../.." external.system.id="GRADLE" external.system.module.group="com.wbrawner" external.system.module.version="1.0-SNAPSHOT" type="JAVA_MODULE" version="4">
<component name="NewModuleRootManager" inherit-compiler-output="true">
<exclude-output />
<content url="file://$MODULE_DIR$/../..">
<excludeFolder url="file://$MODULE_DIR$/../../.gradle" />
<excludeFolder url="file://$MODULE_DIR$/../../build" />
<excludeFolder url="file://$MODULE_DIR$/../../out" />
</content>
<orderEntry type="inheritedJdk" />
<orderEntry type="sourceFolder" forTests="false" />
</component>
</module>

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<?xml version="1.0" encoding="UTF-8"?>
<module external.linked.project.id="algorithms:main" external.linked.project.path="$MODULE_DIR$/../.." external.root.project.path="$MODULE_DIR$/../.." external.system.id="GRADLE" external.system.module.group="com.wbrawner" external.system.module.type="sourceSet" external.system.module.version="1.0-SNAPSHOT" type="JAVA_MODULE" version="4">
<component name="NewModuleRootManager">
<output url="file://$MODULE_DIR$/../../out/production/classes" />
<exclude-output />
<content url="file://$MODULE_DIR$/../../src/main">
<sourceFolder url="file://$MODULE_DIR$/../../src/main/java" isTestSource="false" />
<sourceFolder url="file://$MODULE_DIR$/../../src/main/resources" type="java-resource" />
</content>
<orderEntry type="inheritedJdk" />
<orderEntry type="sourceFolder" forTests="false" />
</component>
</module>

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<?xml version="1.0" encoding="UTF-8"?>
<module external.linked.project.id="algorithms:test" external.linked.project.path="$MODULE_DIR$/../.." external.root.project.path="$MODULE_DIR$/../.." external.system.id="GRADLE" external.system.module.group="com.wbrawner" external.system.module.type="sourceSet" external.system.module.version="1.0-SNAPSHOT" type="JAVA_MODULE" version="4">
<component name="NewModuleRootManager">
<output-test url="file://$MODULE_DIR$/../../out/test/classes" />
<exclude-output />
<content url="file://$MODULE_DIR$/../../src/test">
<sourceFolder url="file://$MODULE_DIR$/../../src/test/java" isTestSource="true" />
<sourceFolder url="file://$MODULE_DIR$/../../src/test/resources" type="java-test-resource" />
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<orderEntry type="library" name="Gradle: junit:junit:4.12" level="project" />
<orderEntry type="library" name="Gradle: org.hamcrest:hamcrest-core:1.3" level="project" />
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<component name="TestModuleProperties" production-module="algorithms_main" />
</module>

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.idea/modules/sorting.iml Normal file
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<?xml version="1.0" encoding="UTF-8"?>
<module external.linked.project.id=":sorting" external.linked.project.path="$MODULE_DIR$/../../sorting" external.root.project.path="$MODULE_DIR$/../.." external.system.id="GRADLE" external.system.module.group="com.wbrawner" external.system.module.version="1.0-SNAPSHOT" type="JAVA_MODULE" version="4">
<component name="NewModuleRootManager" inherit-compiler-output="true">
<exclude-output />
<content url="file://$MODULE_DIR$/../../sorting">
<excludeFolder url="file://$MODULE_DIR$/../../sorting/.gradle" />
<excludeFolder url="file://$MODULE_DIR$/../../sorting/build" />
<excludeFolder url="file://$MODULE_DIR$/../../sorting/out" />
</content>
<orderEntry type="inheritedJdk" />
<orderEntry type="sourceFolder" forTests="false" />
</component>
</module>

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<?xml version="1.0" encoding="UTF-8"?>
<module external.linked.project.id=":sorting:main" external.linked.project.path="$MODULE_DIR$/../../../sorting" external.root.project.path="$MODULE_DIR$/../../.." external.system.id="GRADLE" external.system.module.group="com.wbrawner" external.system.module.type="sourceSet" external.system.module.version="1.0-SNAPSHOT" type="JAVA_MODULE" version="4">
<component name="NewModuleRootManager">
<output url="file://$MODULE_DIR$/../../../sorting/out/production/classes" />
<exclude-output />
<content url="file://$MODULE_DIR$/../../../sorting/src/main">
<sourceFolder url="file://$MODULE_DIR$/../../../sorting/src/main/java" isTestSource="false" />
<sourceFolder url="file://$MODULE_DIR$/../../../sorting/src/main/resources" type="java-resource" />
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<orderEntry type="inheritedJdk" />
<orderEntry type="sourceFolder" forTests="false" />
</component>
</module>

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<?xml version="1.0" encoding="UTF-8"?>
<module external.linked.project.id=":sorting:test" external.linked.project.path="$MODULE_DIR$/../../../sorting" external.root.project.path="$MODULE_DIR$/../../.." external.system.id="GRADLE" external.system.module.group="com.wbrawner" external.system.module.type="sourceSet" external.system.module.version="1.0-SNAPSHOT" type="JAVA_MODULE" version="4">
<component name="NewModuleRootManager">
<output-test url="file://$MODULE_DIR$/../../../sorting/out/test/classes" />
<exclude-output />
<content url="file://$MODULE_DIR$/../../../sorting/src/test">
<sourceFolder url="file://$MODULE_DIR$/../../../sorting/src/test/java" isTestSource="true" />
<sourceFolder url="file://$MODULE_DIR$/../../../sorting/src/test/resources" type="java-test-resource" />
</content>
<orderEntry type="inheritedJdk" />
<orderEntry type="sourceFolder" forTests="false" />
<orderEntry type="module" module-name="sorting_main" />
<orderEntry type="library" name="Gradle: junit:junit:4.12" level="project" />
<orderEntry type="library" name="Gradle: org.hamcrest:hamcrest-core:1.3" level="project" />
</component>
<component name="TestModuleProperties" production-module="sorting_main" />
</module>

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@ -4,3 +4,16 @@ This repository is meant for me to compile a list of examples of different
algorithms that I have learned of, and develop a working implementation.
These implementations may not be the most efficient, so please do point it
out to me if you see something that could be improved upon.
## Sorting
- [Merge Sort](sorting/src/main/java/com/wbrawner/algorithms/sorting/MergeSort.java)
- [Tests](sorting/src/test/java/com/wbrawner/algorithms/sorting/ParameterizedMergeSortTest.java)
## Building/Testing
./gradlew test
To keep things simple, the tests share the same data where possible.
- [Sorting test data](sorting/src/test/java/com/wbrawner/algorithms/sorting/SortData.java)

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build.gradle Normal file
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group 'com.wbrawner'
version '1.0-SNAPSHOT'
apply plugin: 'java'
sourceCompatibility = 1.8
repositories {
mavenCentral()
}
dependencies {
testCompile group: 'junit', name: 'junit', version: '4.12'
}

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gradle/wrapper/gradle-wrapper.jar vendored Normal file

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#Thu Oct 04 23:45:47 CDT 2018
distributionBase=GRADLE_USER_HOME
distributionPath=wrapper/dists
zipStoreBase=GRADLE_USER_HOME
zipStorePath=wrapper/dists
distributionUrl=https\://services.gradle.org/distributions/gradle-4.0-all.zip

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gradlew vendored Normal file
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#!/usr/bin/env sh
##############################################################################
##
## Gradle start up script for UN*X
##
##############################################################################
# Attempt to set APP_HOME
# Resolve links: $0 may be a link
PRG="$0"
# Need this for relative symlinks.
while [ -h "$PRG" ] ; do
ls=`ls -ld "$PRG"`
link=`expr "$ls" : '.*-> \(.*\)$'`
if expr "$link" : '/.*' > /dev/null; then
PRG="$link"
else
PRG=`dirname "$PRG"`"/$link"
fi
done
SAVED="`pwd`"
cd "`dirname \"$PRG\"`/" >/dev/null
APP_HOME="`pwd -P`"
cd "$SAVED" >/dev/null
APP_NAME="Gradle"
APP_BASE_NAME=`basename "$0"`
# Add default JVM options here. You can also use JAVA_OPTS and GRADLE_OPTS to pass JVM options to this script.
DEFAULT_JVM_OPTS=""
# Use the maximum available, or set MAX_FD != -1 to use that value.
MAX_FD="maximum"
warn () {
echo "$*"
}
die () {
echo
echo "$*"
echo
exit 1
}
# OS specific support (must be 'true' or 'false').
cygwin=false
msys=false
darwin=false
nonstop=false
case "`uname`" in
CYGWIN* )
cygwin=true
;;
Darwin* )
darwin=true
;;
MINGW* )
msys=true
;;
NONSTOP* )
nonstop=true
;;
esac
CLASSPATH=$APP_HOME/gradle/wrapper/gradle-wrapper.jar
# Determine the Java command to use to start the JVM.
if [ -n "$JAVA_HOME" ] ; then
if [ -x "$JAVA_HOME/jre/sh/java" ] ; then
# IBM's JDK on AIX uses strange locations for the executables
JAVACMD="$JAVA_HOME/jre/sh/java"
else
JAVACMD="$JAVA_HOME/bin/java"
fi
if [ ! -x "$JAVACMD" ] ; then
die "ERROR: JAVA_HOME is set to an invalid directory: $JAVA_HOME
Please set the JAVA_HOME variable in your environment to match the
location of your Java installation."
fi
else
JAVACMD="java"
which java >/dev/null 2>&1 || die "ERROR: JAVA_HOME is not set and no 'java' command could be found in your PATH.
Please set the JAVA_HOME variable in your environment to match the
location of your Java installation."
fi
# Increase the maximum file descriptors if we can.
if [ "$cygwin" = "false" -a "$darwin" = "false" -a "$nonstop" = "false" ] ; then
MAX_FD_LIMIT=`ulimit -H -n`
if [ $? -eq 0 ] ; then
if [ "$MAX_FD" = "maximum" -o "$MAX_FD" = "max" ] ; then
MAX_FD="$MAX_FD_LIMIT"
fi
ulimit -n $MAX_FD
if [ $? -ne 0 ] ; then
warn "Could not set maximum file descriptor limit: $MAX_FD"
fi
else
warn "Could not query maximum file descriptor limit: $MAX_FD_LIMIT"
fi
fi
# For Darwin, add options to specify how the application appears in the dock
if $darwin; then
GRADLE_OPTS="$GRADLE_OPTS \"-Xdock:name=$APP_NAME\" \"-Xdock:icon=$APP_HOME/media/gradle.icns\""
fi
# For Cygwin, switch paths to Windows format before running java
if $cygwin ; then
APP_HOME=`cygpath --path --mixed "$APP_HOME"`
CLASSPATH=`cygpath --path --mixed "$CLASSPATH"`
JAVACMD=`cygpath --unix "$JAVACMD"`
# We build the pattern for arguments to be converted via cygpath
ROOTDIRSRAW=`find -L / -maxdepth 1 -mindepth 1 -type d 2>/dev/null`
SEP=""
for dir in $ROOTDIRSRAW ; do
ROOTDIRS="$ROOTDIRS$SEP$dir"
SEP="|"
done
OURCYGPATTERN="(^($ROOTDIRS))"
# Add a user-defined pattern to the cygpath arguments
if [ "$GRADLE_CYGPATTERN" != "" ] ; then
OURCYGPATTERN="$OURCYGPATTERN|($GRADLE_CYGPATTERN)"
fi
# Now convert the arguments - kludge to limit ourselves to /bin/sh
i=0
for arg in "$@" ; do
CHECK=`echo "$arg"|egrep -c "$OURCYGPATTERN" -`
CHECK2=`echo "$arg"|egrep -c "^-"` ### Determine if an option
if [ $CHECK -ne 0 ] && [ $CHECK2 -eq 0 ] ; then ### Added a condition
eval `echo args$i`=`cygpath --path --ignore --mixed "$arg"`
else
eval `echo args$i`="\"$arg\""
fi
i=$((i+1))
done
case $i in
(0) set -- ;;
(1) set -- "$args0" ;;
(2) set -- "$args0" "$args1" ;;
(3) set -- "$args0" "$args1" "$args2" ;;
(4) set -- "$args0" "$args1" "$args2" "$args3" ;;
(5) set -- "$args0" "$args1" "$args2" "$args3" "$args4" ;;
(6) set -- "$args0" "$args1" "$args2" "$args3" "$args4" "$args5" ;;
(7) set -- "$args0" "$args1" "$args2" "$args3" "$args4" "$args5" "$args6" ;;
(8) set -- "$args0" "$args1" "$args2" "$args3" "$args4" "$args5" "$args6" "$args7" ;;
(9) set -- "$args0" "$args1" "$args2" "$args3" "$args4" "$args5" "$args6" "$args7" "$args8" ;;
esac
fi
# Escape application args
save () {
for i do printf %s\\n "$i" | sed "s/'/'\\\\''/g;1s/^/'/;\$s/\$/' \\\\/" ; done
echo " "
}
APP_ARGS=$(save "$@")
# Collect all arguments for the java command, following the shell quoting and substitution rules
eval set -- $DEFAULT_JVM_OPTS $JAVA_OPTS $GRADLE_OPTS "\"-Dorg.gradle.appname=$APP_BASE_NAME\"" -classpath "\"$CLASSPATH\"" org.gradle.wrapper.GradleWrapperMain "$APP_ARGS"
# by default we should be in the correct project dir, but when run from Finder on Mac, the cwd is wrong
if [ "$(uname)" = "Darwin" ] && [ "$HOME" = "$PWD" ]; then
cd "$(dirname "$0")"
fi
exec "$JAVACMD" "$@"

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gradlew.bat vendored Normal file
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@if "%DEBUG%" == "" @echo off
@rem ##########################################################################
@rem
@rem Gradle startup script for Windows
@rem
@rem ##########################################################################
@rem Set local scope for the variables with windows NT shell
if "%OS%"=="Windows_NT" setlocal
set DIRNAME=%~dp0
if "%DIRNAME%" == "" set DIRNAME=.
set APP_BASE_NAME=%~n0
set APP_HOME=%DIRNAME%
@rem Add default JVM options here. You can also use JAVA_OPTS and GRADLE_OPTS to pass JVM options to this script.
set DEFAULT_JVM_OPTS=
@rem Find java.exe
if defined JAVA_HOME goto findJavaFromJavaHome
set JAVA_EXE=java.exe
%JAVA_EXE% -version >NUL 2>&1
if "%ERRORLEVEL%" == "0" goto init
echo.
echo ERROR: JAVA_HOME is not set and no 'java' command could be found in your PATH.
echo.
echo Please set the JAVA_HOME variable in your environment to match the
echo location of your Java installation.
goto fail
:findJavaFromJavaHome
set JAVA_HOME=%JAVA_HOME:"=%
set JAVA_EXE=%JAVA_HOME%/bin/java.exe
if exist "%JAVA_EXE%" goto init
echo.
echo ERROR: JAVA_HOME is set to an invalid directory: %JAVA_HOME%
echo.
echo Please set the JAVA_HOME variable in your environment to match the
echo location of your Java installation.
goto fail
:init
@rem Get command-line arguments, handling Windows variants
if not "%OS%" == "Windows_NT" goto win9xME_args
:win9xME_args
@rem Slurp the command line arguments.
set CMD_LINE_ARGS=
set _SKIP=2
:win9xME_args_slurp
if "x%~1" == "x" goto execute
set CMD_LINE_ARGS=%*
:execute
@rem Setup the command line
set CLASSPATH=%APP_HOME%\gradle\wrapper\gradle-wrapper.jar
@rem Execute Gradle
"%JAVA_EXE%" %DEFAULT_JVM_OPTS% %JAVA_OPTS% %GRADLE_OPTS% "-Dorg.gradle.appname=%APP_BASE_NAME%" -classpath "%CLASSPATH%" org.gradle.wrapper.GradleWrapperMain %CMD_LINE_ARGS%
:end
@rem End local scope for the variables with windows NT shell
if "%ERRORLEVEL%"=="0" goto mainEnd
:fail
rem Set variable GRADLE_EXIT_CONSOLE if you need the _script_ return code instead of
rem the _cmd.exe /c_ return code!
if not "" == "%GRADLE_EXIT_CONSOLE%" exit 1
exit /b 1
:mainEnd
if "%OS%"=="Windows_NT" endlocal
:omega

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settings.gradle Normal file
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rootProject.name = 'algorithms'
include 'sorting'

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sorting/build.gradle Normal file
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@ -0,0 +1,14 @@
group 'com.wbrawner'
version '1.0-SNAPSHOT'
apply plugin: 'java'
sourceCompatibility = 1.8
repositories {
mavenCentral()
}
dependencies {
testCompile group: 'junit', name: 'junit', version: '4.12'
}

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@ -0,0 +1,65 @@
package com.wbrawner.algorithms.sorting;
import java.util.Arrays;
/**
* The Merge Sort algorithm works by the "divide and conquer" strategy. The
* given array of data is recursively split into two smaller arrays that are
* sorted individually before being merged back together.
*/
public class MergeSort {
/**
* Sort a given array of ints using the Merge Sort algorithm
*
* @param unsorted an unsorted array of ints
* @return a sorted array of ints
*/
public static int[] sort(int[] unsorted) {
// An empty array or array with only a single value can't be sorted
if (unsorted.length < 2) {
return unsorted;
}
// Since the array has at least 2 elements, we should evenly (or as
// close as possible to evenly) split it, sort the values, and merge
// them back together
int midPoint = unsorted.length / 2;
int[] first = Arrays.copyOfRange(unsorted, 0, midPoint);
int[] second = Arrays.copyOfRange(unsorted, midPoint, unsorted.length);
return merge(
sort(first),
sort(second)
);
}
private static int[] merge(int[] first, int[] second) {
// Create a new array that can hold both of the given arrays
int[] sorted = new int[first.length + second.length];
// Three values are used here:
// i - keeps track of the sorted array's index
// j - keeps track of the first array's index
// k - keeps track of the second array's index
int i, j = 0, k = 0;
for (i = 0; i < sorted.length; i++) {
// If we still have values from the first array...
if (j < first.length
// ... and we either don't have values from the second
// array or the value at the current index of the first
// array is less than the value at the current index of
// the second array...
&& (k >= second.length || first[j] < second[k])
) {
// ... then we append the value at the current index of the
// first array to the sorted array.
sorted[i] = first[j];
j++;
} else if (k < second.length) {
// In any other case, we should add the value at the current
// index of the second array
sorted[i] = second[k];
k++;
}
}
return sorted;
}
}

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@ -0,0 +1,31 @@
package com.wbrawner.algorithms.sorting;
import org.junit.Test;
import org.junit.runner.RunWith;
import org.junit.runners.Parameterized;
import static org.junit.Assert.assertArrayEquals;
@RunWith(Parameterized.class)
public class ParameterizedMergeSortTest {
@Parameterized.Parameter(1)
public int[] sorted;
@Parameterized.Parameter()
public int[] unsorted;
@Test
public void sortTest() {
assertArrayEquals(
sorted,
MergeSort.sort(unsorted)
);
}
@Parameterized.Parameters
public static int[][][] getData() {
return SortData.get();
}
}

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@ -0,0 +1,56 @@
package com.wbrawner.algorithms.sorting;
public class SortData {
/**
* Test helper method to get test data for sorting tests
*
* @return a multidimensional array of unsorted and sorted arrays wrapped
* in an array
*/
public static int[][][] get() {
return new int[][][]{
// First data set - even number of integers with no repeats
new int[][]{
// Unsorted values
new int[]{5, 4, 1, 8, 7, 2, 6, 3},
// Sorted values
new int[]{1, 2, 3, 4, 5, 6, 7, 8}
},
// Second data set - odd number of integers with no repeats
new int[][]{
// Unsorted values
new int[]{9, 5, 4, 1, 8, 7, 2, 6, 3},
// Sorted values
new int[]{1, 2, 3, 4, 5, 6, 7, 8, 9}
},
// Third data set - even number of integers with repeats
new int[][]{
// Unsorted values
new int[]{9, 5, 4, 4, 8, 7, 2, 6, 3},
// Sorted values
new int[]{2, 3, 4, 4, 5, 6, 7, 8, 9}
},
// Fourth data set - odd number of integers with repeats
new int[][]{
// Unsorted values
new int[]{9, 5, 4, 4, 8, 7, 2, 6, 3, 5},
// Sorted values
new int[]{2, 3, 4, 4, 5, 5, 6, 7, 8, 9}
},
// Fifth data set - empty array
new int[][]{
// Unsorted values
new int[]{},
// Sorted values
new int[]{}
},
// Sixth data set - a single integer array
new int[][]{
// Unsorted values
new int[]{1},
// Sorted values
new int[]{1}
},
};
}
}