Merge remote-tracking branch 'upstream/master'
This commit is contained in:
@@ -1,3 +1,5 @@
|
||||
## Relevant Articles
|
||||
- [Sequenced Collections in Java 21](https://www.baeldung.com/java-21-sequenced-collections)
|
||||
- [String Templates in Java 21](https://www.baeldung.com/java-21-string-templates)
|
||||
- [Unnamed Classes and Instance Main Methods in Java 21](https://www.baeldung.com/java-21-unnamed-class-instance-main)
|
||||
- [Unnamed Patterns and Variables in Java 21](https://www.baeldung.com/java-unnamed-patterns-variables)
|
||||
|
||||
@@ -5,3 +5,4 @@ This module contains articles about Java Character Class
|
||||
### Relevant Articles:
|
||||
- [Character#isAlphabetic vs. Character#isLetter](https://www.baeldung.com/java-character-isletter-isalphabetic)
|
||||
- [Difference Between Java’s “char” and “String”](https://www.baeldung.com/java-char-vs-string)
|
||||
- [Increment Character in Java](https://www.baeldung.com/java-char-sequence)
|
||||
|
||||
@@ -5,4 +5,6 @@
|
||||
### Relevant Articles:
|
||||
- [Introduction to Roaring Bitmap](https://www.baeldung.com/java-roaring-bitmap-intro)
|
||||
- [Creating Custom Iterator in Java](https://www.baeldung.com/java-creating-custom-iterator)
|
||||
- [Difference Between Arrays.sort() and Collections.sort()](https://www.baeldung.com/java-arrays-collections-sort-methods)
|
||||
- [Skipping the First Iteration in Java](https://www.baeldung.com/java-skip-first-iteration)
|
||||
- More articles: [[<-- prev]](/core-java-modules/core-java-collections-4)
|
||||
|
||||
@@ -3,4 +3,4 @@
|
||||
This module contains articles about the Java ArrayList collection
|
||||
|
||||
### Relevant Articles:
|
||||
- [Create an ArrayList with Multiple Object Types](https://www.baeldung.com/arraylist-with-multiple-object-types)
|
||||
- [Create an ArrayList with Multiple Object Types](https://www.baeldung.com/java-arraylist-multiple-object-types)
|
||||
|
||||
@@ -3,3 +3,4 @@
|
||||
This module contains articles about conversions among Collection types in Java.
|
||||
|
||||
### Relevant Articles:
|
||||
- [Converting HashMap Values to an ArrayList in Java](https://www.baeldung.com/java-hashmap-arraylist)
|
||||
|
||||
+2
-2
@@ -12,10 +12,10 @@ public class EpochTimeToLocalDateTimeConverterUnitTest {
|
||||
@Test
|
||||
public void testConvertEpochTimeToLocalDateTime() {
|
||||
long epochTimeMillis = 1624962431000L; // Example epoch time in milliseconds
|
||||
LocalDateTime expectedDateTime = LocalDateTime.of(2021, 6, 29, 12, 13, 51);
|
||||
LocalDateTime expectedDateTime = LocalDateTime.of(2021, 6, 29, 10, 27, 11);
|
||||
|
||||
Instant instant = Instant.ofEpochMilli(epochTimeMillis);
|
||||
ZoneId zoneId = ZoneId.systemDefault();
|
||||
ZoneId zoneId = ZoneId.of("UTC");
|
||||
LocalDateTime actualDateTime = instant.atZone(zoneId).toLocalDateTime();
|
||||
|
||||
assertEquals(expectedDateTime, actualDateTime);
|
||||
|
||||
@@ -3,6 +3,6 @@
|
||||
This module contains articles about core Java input and output (IO)
|
||||
|
||||
### Relevant Articles:
|
||||
|
||||
- [Get File Extension From MIME Type in Java](https://www.baeldung.com/java-mime-type-file-extension)
|
||||
- [[<-- Prev]](/core-java-modules/core-java-io-4)
|
||||
|
||||
|
||||
@@ -25,8 +25,12 @@
|
||||
<version>${commons-codec}</version>
|
||||
<scope>test</scope>
|
||||
</dependency>
|
||||
<dependency>
|
||||
<groupId>com.google.guava</groupId>
|
||||
<artifactId>guava</artifactId>
|
||||
<version>${guava.version}</version>
|
||||
</dependency>
|
||||
</dependencies>
|
||||
|
||||
<build>
|
||||
<finalName>core-java-numbers-6</finalName>
|
||||
<resources>
|
||||
@@ -39,5 +43,6 @@
|
||||
|
||||
<properties>
|
||||
<commons-codec>1.15</commons-codec>
|
||||
<guava.version>32.1.2-jre</guava.version>
|
||||
</properties>
|
||||
</project>
|
||||
+8
@@ -0,0 +1,8 @@
|
||||
package com.baeldung.bigintegerroot;
|
||||
|
||||
public class BenchmarkRunner {
|
||||
public static void main(String[] args) throws Exception {
|
||||
org.openjdk.jmh.Main.main(args);
|
||||
}
|
||||
}
|
||||
|
||||
+10
@@ -0,0 +1,10 @@
|
||||
package com.baeldung.bigintegerroot;
|
||||
|
||||
public class BigIntegerHolder {
|
||||
|
||||
private BigIntegerHolder() {
|
||||
}
|
||||
public static final String BIG_NUMBER = "179769313000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000";
|
||||
public static final String VERY_BIG_NUMBER = "32473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834";
|
||||
public static final String INSANELY_BIG_NUMBER = "3247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834324739274923749279342847923749237492374987230480128343247392749237492793428479237492374923749872304801283432473927492374927934284792374923749237498723048012834";
|
||||
}
|
||||
+60
@@ -0,0 +1,60 @@
|
||||
package com.baeldung.bigintegerroot;
|
||||
|
||||
import static com.baeldung.bigintegerroot.BigIntegerHolder.*;
|
||||
|
||||
import com.baeldung.bigintegerroot.algorithms.Newton;
|
||||
import com.baeldung.bigintegerroot.algorithms.NewtonPlus;
|
||||
import com.google.common.math.BigIntegerMath;
|
||||
import java.math.BigInteger;
|
||||
import java.math.RoundingMode;
|
||||
import java.util.concurrent.TimeUnit;
|
||||
import org.openjdk.jmh.annotations.Benchmark;
|
||||
import org.openjdk.jmh.annotations.BenchmarkMode;
|
||||
import org.openjdk.jmh.annotations.Fork;
|
||||
import org.openjdk.jmh.annotations.Measurement;
|
||||
import org.openjdk.jmh.annotations.Mode;
|
||||
import org.openjdk.jmh.annotations.Param;
|
||||
import org.openjdk.jmh.annotations.Scope;
|
||||
import org.openjdk.jmh.annotations.State;
|
||||
import org.openjdk.jmh.annotations.Warmup;
|
||||
import org.openjdk.jmh.infra.Blackhole;
|
||||
|
||||
@Warmup(iterations = 1)
|
||||
@Measurement(iterations = 1, time = 1, timeUnit = TimeUnit.MINUTES)
|
||||
@Fork(1)
|
||||
@State(Scope.Benchmark)
|
||||
public class BigIntegerSquareRootBenchmark {
|
||||
|
||||
@Param({BIG_NUMBER, VERY_BIG_NUMBER, INSANELY_BIG_NUMBER})
|
||||
public String number;
|
||||
@Benchmark
|
||||
@BenchmarkMode(Mode.Throughput)
|
||||
public void calculateRootWithJava(Blackhole blackhole) {
|
||||
final BigInteger integer = new BigInteger(number);
|
||||
final BigInteger root = integer.sqrt();
|
||||
blackhole.consume(root);
|
||||
}
|
||||
|
||||
@Benchmark
|
||||
@BenchmarkMode(Mode.Throughput)
|
||||
public void calculateRootWithGuava(Blackhole blackhole) {
|
||||
final BigInteger integer = new BigInteger(number);
|
||||
final BigInteger root = BigIntegerMath.sqrt(integer, RoundingMode.DOWN);
|
||||
blackhole.consume(root);
|
||||
}
|
||||
|
||||
@Benchmark
|
||||
@BenchmarkMode(Mode.Throughput)
|
||||
public void calculateRootWithNewtonPlus(Blackhole blackhole) {
|
||||
final BigInteger integer = new BigInteger(number);
|
||||
final BigInteger root = NewtonPlus.sqrt(integer);
|
||||
blackhole.consume(root);
|
||||
}
|
||||
@Benchmark
|
||||
@BenchmarkMode(Mode.Throughput)
|
||||
public void calculateRootWithNewton(Blackhole blackhole) {
|
||||
final BigInteger integer = new BigInteger(number);
|
||||
final BigInteger root = Newton.sqrt(integer);
|
||||
blackhole.consume(root);
|
||||
}
|
||||
}
|
||||
+29
@@ -0,0 +1,29 @@
|
||||
package com.baeldung.bigintegerroot.algorithms;
|
||||
|
||||
import java.math.BigInteger;
|
||||
|
||||
public class Newton {
|
||||
|
||||
private Newton() {
|
||||
}
|
||||
|
||||
public static BigInteger sqrt(BigInteger n) {
|
||||
// Initial approximation
|
||||
BigInteger x = n.divide(BigInteger.TWO);
|
||||
|
||||
// Tolerance level (small positive integer)
|
||||
BigInteger tolerance = BigInteger.ONE;
|
||||
|
||||
while (true) {
|
||||
// x_new = 0.5 * (x + n / x)
|
||||
BigInteger xNew = x.add(n.divide(x)).divide(BigInteger.TWO);
|
||||
|
||||
// Check for convergence within tolerance
|
||||
if (x.subtract(xNew).abs().compareTo(tolerance) <= 0) {
|
||||
return xNew;
|
||||
}
|
||||
|
||||
x = xNew;
|
||||
}
|
||||
}
|
||||
}
|
||||
+108
@@ -0,0 +1,108 @@
|
||||
package com.baeldung.bigintegerroot.algorithms;
|
||||
|
||||
import java.math.BigInteger;
|
||||
|
||||
public class NewtonPlus {
|
||||
|
||||
private NewtonPlus() {
|
||||
}
|
||||
|
||||
// A fast square root by Ryan Scott White.
|
||||
public static BigInteger sqrt(BigInteger x) {
|
||||
if (x.compareTo(BigInteger.valueOf(144838757784765629L)) < 0) {
|
||||
long xAsLong = x.longValue();
|
||||
long vInt = (long)Math.sqrt(xAsLong);
|
||||
if (vInt * vInt > xAsLong)
|
||||
vInt--;
|
||||
return BigInteger.valueOf(vInt); }
|
||||
|
||||
double xAsDub = x.doubleValue();
|
||||
BigInteger val;
|
||||
if (xAsDub < 2.1267e37) // 2.12e37 largest here
|
||||
// since sqrt(long.max*long.max) > long.max
|
||||
{
|
||||
long vInt = (long)Math.sqrt(xAsDub);
|
||||
val = BigInteger.valueOf
|
||||
((vInt + x.divide(BigInteger.valueOf(vInt)).longValue()) >> 1);
|
||||
}
|
||||
else if (xAsDub < 4.3322e127) {
|
||||
// Convert a double to a BigInteger
|
||||
long bits = Double.doubleToLongBits(Math.sqrt(xAsDub));
|
||||
int exp = ((int) (bits >> 52) & 0x7ff) - 1075;
|
||||
val = BigInteger.valueOf((bits & ((1L << 52)) - 1) | (1L << 52)).shiftLeft(exp);
|
||||
|
||||
val = x.divide(val).add(val).shiftRight(1);
|
||||
if (xAsDub > 2e63) {
|
||||
val = x.divide(val).add(val).shiftRight(1); }
|
||||
}
|
||||
else // handle large numbers over 4.3322e127
|
||||
{
|
||||
int xLen = x.bitLength();
|
||||
int wantedPrecision = ((xLen + 1) / 2);
|
||||
int xLenMod = xLen + (xLen & 1) + 1;
|
||||
|
||||
//////// Do the first Sqrt on Hardware ////////
|
||||
long tempX = x.shiftRight(xLenMod - 63).longValue();
|
||||
double tempSqrt1 = Math.sqrt(tempX);
|
||||
long valLong = Double.doubleToLongBits(tempSqrt1) & 0x1fffffffffffffL;
|
||||
|
||||
if (valLong == 0)
|
||||
valLong = 1L << 53;
|
||||
|
||||
//////// Classic Newton Iterations ////////
|
||||
val = BigInteger.valueOf(valLong).shiftLeft(53 - 1)
|
||||
.add((x.shiftRight(xLenMod -
|
||||
(3 * 53))).divide(BigInteger.valueOf(valLong)));
|
||||
|
||||
int size = 106;
|
||||
for (; size < 256; size <<= 1) {
|
||||
val = val.shiftLeft(size - 1).add(x.shiftRight
|
||||
(xLenMod - (3*size)).divide(val));}
|
||||
|
||||
if (xAsDub > 4e254) { // 4e254 = 1<<845.77
|
||||
int numOfNewtonSteps = 31 -
|
||||
Integer.numberOfLeadingZeros(wantedPrecision / size)+1;
|
||||
|
||||
////// Apply Starting Size ////////
|
||||
int wantedSize = (wantedPrecision >> numOfNewtonSteps) + 2;
|
||||
int needToShiftBy = size - wantedSize;
|
||||
val = val.shiftRight(needToShiftBy);
|
||||
|
||||
size = wantedSize;
|
||||
do {
|
||||
//////// Newton Plus Iteration ////////
|
||||
int shiftX = xLenMod - (3 * size);
|
||||
BigInteger valSqrd = val.multiply(val).shiftLeft(size - 1);
|
||||
BigInteger valSU = x.shiftRight(shiftX).subtract(valSqrd);
|
||||
val = val.shiftLeft(size).add(valSU.divide(val));
|
||||
size *= 2;
|
||||
} while (size < wantedPrecision);
|
||||
}
|
||||
val = val.shiftRight(size - wantedPrecision);
|
||||
}
|
||||
|
||||
// Detect a round ups. This function can be further optimized - see article.
|
||||
// For a ~7% speed bump the following line can be removed but round-ups will occur.
|
||||
if (val.multiply(val).compareTo(x) > 0)
|
||||
val = val.subtract(BigInteger.ONE);
|
||||
|
||||
// Enabling the below will guarantee an error is stopped for larger numbers.
|
||||
// Note: As of this writing, there are no known errors.
|
||||
BigInteger tmp = val.multiply(val);
|
||||
if (tmp.compareTo(x) > 0) {
|
||||
System.out.println("val^2(" + val.multiply(val).toString()
|
||||
+ ") ≥ x(" + x.toString()+")");
|
||||
System.console().readLine();
|
||||
//throw new Exception("Sqrt function had internal error - value too high");
|
||||
}
|
||||
if (tmp.add(val.shiftLeft(1)).add(BigInteger.ONE).compareTo(x) <= 0) {
|
||||
System.out.println("(val+1)^2("
|
||||
+ val.add(BigInteger.ONE).multiply(val.add(BigInteger.ONE)).toString()
|
||||
+ ") ≥ x(" + x.toString() + ")");
|
||||
System.console().readLine();
|
||||
//throw new Exception("Sqrt function had internal error - value too low");
|
||||
}
|
||||
|
||||
return val;
|
||||
}
|
||||
}
|
||||
+39
@@ -0,0 +1,39 @@
|
||||
package com.baeldung.bigintegerroot;
|
||||
|
||||
|
||||
import static org.junit.jupiter.api.Assertions.assertTrue;
|
||||
|
||||
import com.baeldung.bigintegerroot.algorithms.Newton;
|
||||
import com.baeldung.bigintegerroot.algorithms.NewtonPlus;
|
||||
import com.google.common.math.BigIntegerMath;
|
||||
import java.math.BigInteger;
|
||||
import java.math.RoundingMode;
|
||||
import java.util.stream.Stream;
|
||||
import org.apache.commons.math3.util.Pair;
|
||||
import org.junit.jupiter.api.condition.EnabledForJreRange;
|
||||
import org.junit.jupiter.api.condition.JRE;
|
||||
import org.junit.jupiter.params.ParameterizedTest;
|
||||
import org.junit.jupiter.params.provider.ValueSource;
|
||||
|
||||
class BigIntegerSquareRootUnitTest {
|
||||
|
||||
@ParameterizedTest
|
||||
@ValueSource(strings = {
|
||||
BigIntegerHolder.BIG_NUMBER,
|
||||
BigIntegerHolder.VERY_BIG_NUMBER,
|
||||
BigIntegerHolder.VERY_BIG_NUMBER
|
||||
})
|
||||
void squareRootTest(String number) {
|
||||
final BigInteger bigInteger = new BigInteger(number);
|
||||
final BigInteger javaRoot = bigInteger.sqrt();
|
||||
final BigInteger guavaRoot = BigIntegerMath.sqrt(bigInteger, RoundingMode.DOWN);
|
||||
final BigInteger newtonRoot = Newton.sqrt(bigInteger);
|
||||
final BigInteger newtonPlusRoot = NewtonPlus.sqrt(bigInteger);
|
||||
|
||||
assertTrue(Stream.of(
|
||||
new Pair<>(javaRoot, guavaRoot),
|
||||
new Pair<>(guavaRoot, newtonRoot),
|
||||
new Pair<>(newtonRoot, newtonPlusRoot)
|
||||
).allMatch(pair -> pair.getFirst().equals(pair.getSecond())));
|
||||
}
|
||||
}
|
||||
@@ -14,5 +14,6 @@ This module contains articles about working with the operating system (OS) in Ja
|
||||
- [How to Run a Shell Command in Java](http://www.baeldung.com/run-shell-command-in-java)
|
||||
- [Taking Screenshots Using Java](https://www.baeldung.com/java-taking-screenshots)
|
||||
- [Java Sound API – Capturing Microphone](https://www.baeldung.com/java-sound-api-capture-mic)
|
||||
- [How to Detect the Username Using Java](https://www.baeldung.com/java-get-username)
|
||||
|
||||
This module uses Java 9, so make sure to have the JDK 9 installed to run it.
|
||||
|
||||
@@ -9,4 +9,5 @@
|
||||
- [Regular Expression: \z vs \Z Anchors in Java](https://www.baeldung.com/java-regular-expression-z-vs-z-anchors)
|
||||
- [Extract Text Between Square Brackets](https://www.baeldung.com/java-get-content-between-square-brackets)
|
||||
- [Get the Indexes of Regex Pattern Matches in Java](https://www.baeldung.com/java-indexes-regex-pattern-matches)
|
||||
- [Check if a String is Strictly Alphanumeric With Java](https://www.baeldung.com/java-check-string-contains-only-letters-numbers)
|
||||
- More articles: [[<-- prev]](/core-java-modules/core-java-regex)
|
||||
|
||||
Reference in New Issue
Block a user