计算二项式系数和使用 Apache Math 包

This commit is contained in:
Yucheng Hu 2018-12-29 19:36:53 -05:00
parent dd15b81b3a
commit c3d2a81f36
2 changed files with 288 additions and 252 deletions

503
pom.xml
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@ -1,253 +1,252 @@
<project xmlns="http://maven.apache.org/POM/4.0.0"
xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 http://maven.apache.org/xsd/maven-4.0.0.xsd">
<modelVersion>4.0.0</modelVersion>
<groupId>com.ossez</groupId>
<artifactId>codebank-algorithm</artifactId>
<version>0.0.1</version>
<properties>
<!-- Generic properties -->
<java.version>1.8</java.version>
<project.build.sourceEncoding>UTF-8</project.build.sourceEncoding>
<project.reporting.outputEncoding>UTF-8</project.reporting.outputEncoding>
<!-- Logging -->
<slf4j.version>1.7.12</slf4j.version>
<log4j2.version>2.2</log4j2.version>
<!-- Hibernate / JPA -->
<hibernate.version>4.3.5.Final</hibernate.version>
<!-- Bean validation -->
<hibernate-validator.version>4.3.1.Final</hibernate-validator.version>
<!-- Database access -->
<tomcat-jdbc.version>7.0.42</tomcat-jdbc.version>
<ehcache.version>2.6.8</ehcache.version>
<hsqldb.version>2.3.2</hsqldb.version>
<!-- CDN & CLOUD -->
<jclouds.version>1.9.0</jclouds.version>
</properties>
<dependencies>
<!-- LOG -->
<dependency>
<groupId>org.apache.logging.log4j</groupId>
<artifactId>log4j-slf4j-impl</artifactId>
<version>2.11.0</version>
</dependency>
<!-- TEST -->
<dependency>
<groupId>junit</groupId>
<artifactId>junit</artifactId>
<version>4.12</version>
</dependency>
<!-- EMAIL -->
<dependency>
<groupId>org.apache.commons</groupId>
<artifactId>commons-email</artifactId>
<version>1.5</version>
</dependency>
<!-- APACHE COMMONS -->
<dependency>
<groupId>org.apache.commons</groupId>
<artifactId>commons-compress</artifactId>
<version>1.18</version>
</dependency>
<dependency>
<groupId>org.apache.commons</groupId>
<artifactId>commons-math3</artifactId>
<version>3.6.1</version>
</dependency>
<dependency>
<groupId>antlr</groupId>
<artifactId>antlr</artifactId>
<version>2.7.6</version>
</dependency>
<dependency>
<groupId>dom4j</groupId>
<artifactId>dom4j</artifactId>
<version>1.6.1</version>
</dependency>
<dependency>
<groupId>commons-cli</groupId>
<artifactId>commons-cli</artifactId>
<version>1.2</version>
</dependency>
<dependency>
<groupId>org.apache.velocity</groupId>
<artifactId>velocity-tools</artifactId>
<version>2.0</version>
</dependency>
<dependency>
<groupId>jaxen</groupId>
<artifactId>jaxen</artifactId>
<version>1.1.6</version>
</dependency>
<dependency>
<groupId>javax.persistence</groupId>
<artifactId>persistence-api</artifactId>
<version>1.0.2</version>
</dependency>
<dependency>
<groupId>com.google.guava</groupId>
<artifactId>guava</artifactId>
<version>17.0</version>
</dependency>
<dependency>
<groupId>com.google.gdata</groupId>
<artifactId>core</artifactId>
<version>1.47.1</version>
</dependency>
<dependency>
<groupId>org.ow2.orchestra.eclipse.birt</groupId>
<artifactId>org.ow2.orchestra.eclipse.birt.core</artifactId>
<version>3.7.0</version>
</dependency>
<dependency>
<groupId>org.ow2.orchestra.eclipse.birt</groupId>
<artifactId>org.ow2.orchestra.eclipse.birt.report.engine</artifactId>
<version>3.7.0</version>
</dependency>
<dependency>
<groupId>commons-net</groupId>
<artifactId>commons-net</artifactId>
<version>2.0</version>
</dependency>
<dependency>
<groupId>com.mchange</groupId>
<artifactId>mchange-commons-java</artifactId>
<version>0.2.9</version>
</dependency>
<dependency>
<groupId>org.jasypt</groupId>
<artifactId>jasypt</artifactId>
<version>1.5</version>
</dependency>
<dependency>
<groupId>httpunit</groupId>
<artifactId>httpunit</artifactId>
<version>1.7</version>
</dependency>
<dependency>
<groupId>net.sf.jazzy</groupId>
<artifactId>jazzy</artifactId>
<version>0.5.2-rtext-1.4.1</version>
</dependency>
<dependency>
<groupId>net.sf.json-lib</groupId>
<artifactId>json-lib</artifactId>
<version>2.4</version>
<classifier>jdk15</classifier>
</dependency>
<dependency>
<groupId>rome</groupId>
<artifactId>rome</artifactId>
<version>0.9</version>
</dependency>
<dependency>
<groupId>org.apache.httpcomponents</groupId>
<artifactId>httpmime</artifactId>
<version>4.5.1</version>
</dependency>
<dependency>
<groupId>org.jsoup</groupId>
<artifactId>jsoup</artifactId>
<version>1.7.2</version>
</dependency>
<dependency>
<groupId>net.lingala.zip4j</groupId>
<artifactId>zip4j</artifactId>
<version>1.3.2</version>
</dependency>
</dependencies>
<build>
<defaultGoal>package</defaultGoal>
<plugins>
<plugin>
<artifactId>maven-compiler-plugin</artifactId>
<version>3.1</version>
<configuration>
<source>${java.version}</source>
<target>${java.version}</target>
</configuration>
</plugin>
<plugin>
<groupId>org.apache.maven.plugins</groupId>
<artifactId>maven-surefire-plugin</artifactId>
<version>2.12.4</version>
<configuration>
<skipTests>true</skipTests>
</configuration>
</plugin>
<plugin>
<groupId>org.apache.maven.plugins</groupId>
<artifactId>maven-jar-plugin</artifactId>
<version>2.6</version>
<configuration>
<archive>
<manifest>
<mainClass>com.ossez.reoc.rets.Main</mainClass>
<addClasspath>true</addClasspath>
<classpathPrefix>lib/</classpathPrefix>
</manifest>
</archive>
</configuration>
</plugin>
<plugin>
<groupId>org.apache.maven.plugins</groupId>
<artifactId>maven-assembly-plugin</artifactId>
<version>2.6</version>
<executions>
<execution>
<phase>package</phase> <!-- bind to the packaging phase -->
<goals>
<goal>single</goal>
</goals>
<configuration>
<descriptor>src/assembly/zipAssembly.xml</descriptor>
<finalName>reoc-rets</finalName>
<archive>
<manifest>
<mainClass>com.ossez.reoc.rets.Main</mainClass>
</manifest>
<manifestEntries>
<Class-Path>./</Class-Path>
</manifestEntries>
</archive>
</configuration>
</execution>
</executions>
</plugin>
</plugins>
</build>
<project xmlns="http://maven.apache.org/POM/4.0.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 http://maven.apache.org/xsd/maven-4.0.0.xsd">
<modelVersion>4.0.0</modelVersion>
<groupId>com.ossez</groupId>
<artifactId>codebank-algorithm</artifactId>
<version>0.0.1</version>
<properties>
<!-- Generic properties -->
<java.version>1.8</java.version>
<project.build.sourceEncoding>UTF-8</project.build.sourceEncoding>
<project.reporting.outputEncoding>UTF-8</project.reporting.outputEncoding>
<!-- Logging -->
<slf4j.version>1.7.12</slf4j.version>
<log4j2.version>2.2</log4j2.version>
<!-- Hibernate / JPA -->
<hibernate.version>4.3.5.Final</hibernate.version>
<!-- Bean validation -->
<hibernate-validator.version>4.3.1.Final</hibernate-validator.version>
<!-- Database access -->
<tomcat-jdbc.version>7.0.42</tomcat-jdbc.version>
<ehcache.version>2.6.8</ehcache.version>
<hsqldb.version>2.3.2</hsqldb.version>
<!-- CDN & CLOUD -->
<jclouds.version>1.9.0</jclouds.version>
</properties>
<dependencies>
<!-- LOG -->
<dependency>
<groupId>org.apache.logging.log4j</groupId>
<artifactId>log4j-slf4j-impl</artifactId>
<version>2.11.0</version>
</dependency>
<!-- TEST -->
<dependency>
<groupId>junit</groupId>
<artifactId>junit</artifactId>
<version>4.12</version>
</dependency>
<!-- EMAIL -->
<dependency>
<groupId>org.apache.commons</groupId>
<artifactId>commons-email</artifactId>
<version>1.5</version>
</dependency>
<!-- APACHE COMMONS -->
<dependency>
<groupId>org.apache.commons</groupId>
<artifactId>commons-compress</artifactId>
<version>1.18</version>
</dependency>
<dependency>
<groupId>org.apache.commons</groupId>
<artifactId>commons-math3</artifactId>
<version>3.6.1</version>
</dependency>
<dependency>
<groupId>antlr</groupId>
<artifactId>antlr</artifactId>
<version>2.7.6</version>
</dependency>
<dependency>
<groupId>dom4j</groupId>
<artifactId>dom4j</artifactId>
<version>1.6.1</version>
</dependency>
<dependency>
<groupId>commons-cli</groupId>
<artifactId>commons-cli</artifactId>
<version>1.2</version>
</dependency>
<dependency>
<groupId>org.apache.velocity</groupId>
<artifactId>velocity-tools</artifactId>
<version>2.0</version>
</dependency>
<dependency>
<groupId>jaxen</groupId>
<artifactId>jaxen</artifactId>
<version>1.1.6</version>
</dependency>
<dependency>
<groupId>javax.persistence</groupId>
<artifactId>persistence-api</artifactId>
<version>1.0.2</version>
</dependency>
<dependency>
<groupId>com.google.guava</groupId>
<artifactId>guava</artifactId>
<version>17.0</version>
</dependency>
<dependency>
<groupId>com.google.gdata</groupId>
<artifactId>core</artifactId>
<version>1.47.1</version>
</dependency>
<dependency>
<groupId>org.ow2.orchestra.eclipse.birt</groupId>
<artifactId>org.ow2.orchestra.eclipse.birt.core</artifactId>
<version>3.7.0</version>
</dependency>
<dependency>
<groupId>org.ow2.orchestra.eclipse.birt</groupId>
<artifactId>org.ow2.orchestra.eclipse.birt.report.engine</artifactId>
<version>3.7.0</version>
</dependency>
<dependency>
<groupId>commons-net</groupId>
<artifactId>commons-net</artifactId>
<version>2.0</version>
</dependency>
<dependency>
<groupId>com.mchange</groupId>
<artifactId>mchange-commons-java</artifactId>
<version>0.2.9</version>
</dependency>
<dependency>
<groupId>org.jasypt</groupId>
<artifactId>jasypt</artifactId>
<version>1.5</version>
</dependency>
<dependency>
<groupId>httpunit</groupId>
<artifactId>httpunit</artifactId>
<version>1.7</version>
</dependency>
<dependency>
<groupId>net.sf.jazzy</groupId>
<artifactId>jazzy</artifactId>
<version>0.5.2-rtext-1.4.1</version>
</dependency>
<dependency>
<groupId>net.sf.json-lib</groupId>
<artifactId>json-lib</artifactId>
<version>2.4</version>
<classifier>jdk15</classifier>
</dependency>
<dependency>
<groupId>rome</groupId>
<artifactId>rome</artifactId>
<version>0.9</version>
</dependency>
<dependency>
<groupId>org.apache.httpcomponents</groupId>
<artifactId>httpmime</artifactId>
<version>4.5.1</version>
</dependency>
<dependency>
<groupId>org.jsoup</groupId>
<artifactId>jsoup</artifactId>
<version>1.7.2</version>
</dependency>
<dependency>
<groupId>net.lingala.zip4j</groupId>
<artifactId>zip4j</artifactId>
<version>1.3.2</version>
</dependency>
</dependencies>
<build>
<defaultGoal>package</defaultGoal>
<plugins>
<plugin>
<artifactId>maven-compiler-plugin</artifactId>
<version>3.1</version>
<configuration>
<source>${java.version}</source>
<target>${java.version}</target>
</configuration>
</plugin>
<plugin>
<groupId>org.apache.maven.plugins</groupId>
<artifactId>maven-surefire-plugin</artifactId>
<version>2.12.4</version>
<configuration>
<skipTests>true</skipTests>
</configuration>
</plugin>
<plugin>
<groupId>org.apache.maven.plugins</groupId>
<artifactId>maven-jar-plugin</artifactId>
<version>2.6</version>
<configuration>
<archive>
<manifest>
<mainClass>com.ossez.reoc.rets.Main</mainClass>
<addClasspath>true</addClasspath>
<classpathPrefix>lib/</classpathPrefix>
</manifest>
</archive>
</configuration>
</plugin>
<plugin>
<groupId>org.apache.maven.plugins</groupId>
<artifactId>maven-assembly-plugin</artifactId>
<version>2.6</version>
<executions>
<execution>
<phase>package</phase> <!-- bind to the packaging phase -->
<goals>
<goal>single</goal>
</goals>
<configuration>
<descriptor>src/assembly/zipAssembly.xml</descriptor>
<finalName>reoc-rets</finalName>
<archive>
<manifest>
<mainClass>com.ossez.reoc.rets.Main</mainClass>
</manifest>
<manifestEntries>
<Class-Path>./</Class-Path>
</manifestEntries>
</archive>
</configuration>
</execution>
</executions>
</plugin>
</plugins>
</build>
</project>

View File

@ -1,8 +1,10 @@
package com.ossez.codebank.interview.tests;
import java.math.BigDecimal;
import java.util.ArrayList;
import java.util.List;
import org.apache.commons.math3.util.CombinatoricsUtils;
import org.junit.Test;
import org.slf4j.Logger;
import org.slf4j.LoggerFactory;
@ -74,4 +76,39 @@ public class WayfairTest {
}
/**
* https://www.cwiki.us/display/ITCLASSIFICATION/Binomial+Coefficient
*
* Binomial Coefficient
*/
@Test
public void testBinomialCoefficient() {
int n = 40;
int k = 20;
BigDecimal bc = factorial(n).divide(factorial(k).multiply(factorial(n - k)));
// a.compareTo(new BigDecimal(1000000000))
logger.debug("{}", bc);
logger.debug("Check for Compare To - [{}]", bc.compareTo(new BigDecimal(1000000000)));
logger.debug("Value - [{}]", bc);
logger.debug("Apache CombinatoricsUtils Factorial - [{}]", CombinatoricsUtils.factorialDouble(20));
logger.debug("Apache CombinatoricsUtils Binomial Coefficient - [{}]", CombinatoricsUtils.binomialCoefficientDouble(40, 20));
}
/**
* for factorial
*
* @param x
* @return
*/
private static BigDecimal factorial(int x) {
if (x == 1 || x == 0) {
return BigDecimal.valueOf(1);
} else {
return BigDecimal.valueOf(x).multiply(factorial(x - 1));
}
}
}