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mXparser is a super easy, rich, fast and highly flexible math expression parser library (parser and evaluator of mathematical expressions / formulas provided as plain text / string). Software delivers easy to use API for JAVA, Android and C# .NET/MONO (Common Language Specification compliant: F#, Visual Basic, C++/CLI). *** If you find the software useful donation is something you might consider: https://mathparser.org/donate/ *** Scalar Scientific Calculator, Charts and Scripts, Scalar Lite: https://play.google.com/store/apps/details?id=org.mathparser.scalar.lite *** Scalar Pro: https://play.google.com/store/apps/details?id=org.mathparser.scalar.pro *** ScalarMath.org: https://scalarmath.org/ *** MathSpace.pl: https://mathspace.pl/ ***
/*
* @(#)PrimesCache.java 4.4.3 2022-05-28
*
* MathParser.org-mXparser DUAL LICENSE AGREEMENT as of date 2022-05-22
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package org.mariuszgromada.math.mxparser.mathcollection;
import org.mariuszgromada.math.mxparser.mXparser;
/**
* Class for generating prime numbers cache using
* Eratosthenes Sieve.
*
* @author Mariusz Gromada
* [email protected]
* MathSpace.pl
* MathParser.org - mXparser project page
* mXparser on GitHub
* mXparser on SourceForge
* mXparser on Bitbucket
* mXparser on CodePlex
* Janet Sudoku - project web page
* Janet Sudoku on GitHub
* Janet Sudoku on CodePlex
* Janet Sudoku on SourceForge
* Janet Sudoku on BitBucket
* Scalar Free
* Scalar Pro
* ScalarMath.org
*
* @version 4.4.2
*/
public class PrimesCache {
/**
* Default range of integer to store in cache
*/
public static final int DEFAULT_MAX_NUM_IN_CACHE = 10000000;
/**
* Empty cache status
*/
public static final boolean CACHE_EMPTY = false;
/**
* Cache ready to use
*/
public static final boolean CACHING_FINISHED = true;
/**
* Indicator if given number is a prime
*/
public static final int IS_PRIME = 1;
/**
* Indicator if given number is not a prime
*/
public static final int IS_NOT_PRIME = 0;
/**
* Indicator that the value is not stored
* in cache
*/
public static final int NOT_IN_CACHE = -1;
/**
* Primes between 0 ... and ... maximumNumberInCache
* will be cached
*/
int maxNumInCache;
/**
* Number of cached prime numbers
*/
int numberOfPrimes;
/**
* Time in seconds showing
* how long did it take to finalize prime numbers
* caching.
*/
double computingTime;
/**
* Caching process status
*/
boolean cacheStatus;
/**
* Integers table to store number and indicate
* whether they are prime or not
*/
boolean[] isPrime;
/**
* Internal flag marking that primes cache initialization was successful;
*/
boolean initSuccessful;
/**
* Eratosthenes Sieve implementation
*/
private void EratosthenesSieve() {
long startTime = System.currentTimeMillis();
try {
int size = maxNumInCache+1;
if (size <= 0) {
numberOfPrimes = 0;
maxNumInCache = 0;
initSuccessful = false;
long endTime = System.currentTimeMillis();
computingTime = (endTime - startTime)/1000.0;
return;
}
isPrime = new boolean[size];
numberOfPrimes = 0;
/*
* Initially assume all integers are primes
*/
isPrime[0] = false;
isPrime[1] = false;
for (int i = 2; i <= maxNumInCache; i++) {
isPrime[i] = true;
if (mXparser.isCurrentCalculationCancelled()) return;
}
/*
* Sieve of Eratosthenes - marking non-primes
*/
for (int i = 2; i*i <= maxNumInCache; i++) {
if (mXparser.isCurrentCalculationCancelled()) return;
if (isPrime[i] == true)
for (int j = i; i*j <= maxNumInCache; j++) {
isPrime[i*j] = false;
if (mXparser.isCurrentCalculationCancelled()) return;
}
}
initSuccessful = true;
} catch (OutOfMemoryError e) {
initSuccessful = false;
} finally {
long endTime = System.currentTimeMillis();
computingTime = (endTime - startTime)/1000.0;
}
}
/**
* Counting found primes
*/
private void countPrimes() {
for (int i = 0; i <= maxNumInCache; i++) {
if (isPrime[i] == true) numberOfPrimes++;
if (mXparser.isCurrentCalculationCancelled()) return;
}
}
/**
* Default constructor - setting prime cache for a default range if integers
*/
public PrimesCache() {
initSuccessful = false;
cacheStatus = CACHE_EMPTY;
maxNumInCache = DEFAULT_MAX_NUM_IN_CACHE;
EratosthenesSieve();
if (initSuccessful) {
countPrimes();
cacheStatus = CACHING_FINISHED;
} else {
maxNumInCache = 0;
numberOfPrimes = 0;
}
}
/**
* Constructor - setting prime cache for a given range if integers
* @param maxNumInCache Range of integers to be stored in prime cache
*/
public PrimesCache(int maxNumInCache) {
if (maxNumInCache > 2)
this.maxNumInCache = Math.min(maxNumInCache, Integer.MAX_VALUE - 1);
else
this.maxNumInCache = DEFAULT_MAX_NUM_IN_CACHE;
initSuccessful = false;
cacheStatus = CACHE_EMPTY;
maxNumInCache = DEFAULT_MAX_NUM_IN_CACHE;
EratosthenesSieve();
if (initSuccessful) {
countPrimes();
cacheStatus = CACHING_FINISHED;
} else {
maxNumInCache = 0;
numberOfPrimes = 0;
}
}
/**
* Returns computing time of Eratosthenes Sieve
* @return Computing time in seconds
*/
public double getComputingTime() {
return computingTime;
}
/**
* Returns cache status
* @return PrimesCache.CACHE_EMPTY or PrimesCache.CACHING_FINISHED;
*/
public boolean getCacheStatus() {
return cacheStatus;
}
/**
* Returns number of found primes.
* @return Number of found primes.
*/
public int getNumberOfPrimes() {
return numberOfPrimes;
}
/**
* Returns cache range.
* @return Maximum integera number in cache/
*/
public int getMaxNumInCache() {
return maxNumInCache;
}
/**
* Check whether given number is prime
* @param n Given integer number.
* @return PrimesCache.IS_PRIME or PrimesCache.IS_NOT_PRIME or PrimesCache.NOT_IN_CACHE
*/
public int primeTest(int n) {
if (n <= 1) return IS_NOT_PRIME;
if ( (n <= maxNumInCache) && (cacheStatus = CACHING_FINISHED) )
if ( isPrime[n] == true)
return IS_PRIME;
else
return IS_NOT_PRIME;
else
return NOT_IN_CACHE;
}
/**
* Returns true in case when primes cache initialization was successful,
* otherwise returns false.
*
* @return Returns true in case when primes cache initialization was successful,
* otherwise returns false.
*/
public boolean isInitSuccessful() {
return initSuccessful;
}
/**
* Gets underlying primes cache boolean table
* @return Underlying primes cache boolean table
*/
boolean[] getPrimes() {
return isPrime;
}
}
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