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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<state>
<option name="PREFERRED_PROJECT_CODE_STYLE" value="Default" />
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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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<?xml version="1.0" encoding="UTF-8"?>
<project version="4">
<component name="ProjectRootManager" version="2" languageLevel="JDK_1_8" default="false" project-jdk-name="1.8" project-jdk-type="JavaSDK">
<output url="file://$PROJECT_DIR$/out" />
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</project>

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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" />
</content>
<orderEntry type="inheritedJdk" />
<orderEntry type="sourceFolder" forTests="false" />
<orderEntry type="module" module-name="algorithms_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="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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@ -0,0 +1,13 @@
<?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" />
</content>
<orderEntry type="inheritedJdk" />
<orderEntry type="sourceFolder" forTests="false" />
</component>
</module>

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@ -0,0 +1,17 @@
<?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. algorithms that I have learned of, and develop a working implementation.
These implementations may not be the most efficient, so please do point it 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. 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

Binary file not shown.

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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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@ -0,0 +1,3 @@
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}
},
};
}
}