NumberTheory (MathParser.org-mXparser - Math Expressions Parser / Formula Evaluator library for JAVA Android C# .NET/MONO CLS compliant 4.0.0 API)

java.lang.Object
- org.mariuszgromada.math.mxparser.mathcollection.NumberTheory

```
public final class NumberTheory
extends Object
```
NumberTheory - summation / products etc...

Version:

3.0.0

Author:

Mariusz Gromada
mariuszgromada.org@gmail.com
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

Constructor Summary

Constructors
Constructor and Description

NumberTheory()

Constructors
Constructor and Description
`NumberTheory()`

Method Summary

Methods
Modifier and Type	Method and Description
`static double`	`gcd(double... numbers)` Greatest common divisor (GCD)
`static double`	`gcd(double a, double b)` Greatest common divisor (GCD)
`static double`	`gcd(int... numbers)` Greatest common divisor (GCD)
`static double`	`gcd(int a, int b)` Greatest common divisor (GCD)
`static double`	`lcm(double... numbers)` Latest common multiply (LCM)
`static double`	`lcm(double a, double b)` Latest common multiply (LCM)
`static double`	`lcm(int... numbers)` Latest common multiply (LCM)
`static double`	`lcm(int a, int b)` Latest common multiply (LCM)
`static double`	`max(double... numbers)` Maximum function.
`static double`	`max(double a, double b)` Maximum function.
`static double`	`max(Expression f, Argument index, double from, double to, double delta)` Maximum value - iterative operator.
`static double`	`min(double... numbers)` Minimum function.
`static double`	`min(double a, double b)` Minimum function.
`static double`	`min(Expression f, Argument index, double from, double to, double delta)` Minimum value - iterative operator.
`static double`	`piProduct(Expression f, Argument index, double from, double to, double delta)` Product operator
`static double`	`primeCount(double n)` Prime counting function
`static long`	`primeCount(long n)` Prime counting function
`static double`	`primeTest(double n)` Prime test
`static boolean`	`primeTest(long n)` Prime test
`static double`	`prod(double... numbers)` Numbers multiplication.
`static double`	`sigmaSummation(Expression f, Argument index, double from, double to, double delta)` Summation operator (SIGMA FROM i = a, to b, f(i) by delta
`static double`	`sum(double... numbers)` Adding numbers.

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Constructor Detail
  - NumberTheory
```
public NumberTheory()
```
- Method Detail
  - min
```
public static final double min(double a,
         double b)
```
    Minimum function.
    
    Parameters:
    a - the a function parameter
    b - the b function parameter
    
    Returns:
    if a,b <> Double.NaN returns Math.min(a, b), otherwise returns Double.NaN.
  - min
```
public static final double min(double... numbers)
```
    Minimum function.
    
    Parameters:
    numbers - the a function parameter
    
    Returns:
    if each number form numbers <> Double.NaN returns the smallest number, otherwise returns Double.NaN.
  - max
```
public static final double max(double a,
         double b)
```
    Maximum function.
    
    Parameters:
    a - the a function parameter
    b - the b function parameter
    
    Returns:
    if a,b <> Double.NaN returns Math.max(a, b), otherwise returns Double.NaN.
  - max
```
public static final double max(double... numbers)
```
    Maximum function.
    
    Parameters:
    numbers - the a function parameter
    
    Returns:
    if each number form numbers <> Double.NaN returns the highest number, otherwise returns Double.NaN.
  - gcd
```
public static final double gcd(int a,
         int b)
```
    Greatest common divisor (GCD)
    
    Parameters:
    a - the a function parameter
    b - the b function parameter
    
    Returns:
    GCD(a,b)
  - gcd
```
public static final double gcd(double a,
         double b)
```
    Greatest common divisor (GCD)
    
    Parameters:
    a - the a function parameter
    b - the b function parameter
    
    Returns:
    if a, b <> Double.NaN returns gcd( (int)Math.round(a),(int)Math.round(b) ), otherwise returns Double.NaN.
  - gcd
```
public static final double gcd(int... numbers)
```
    Greatest common divisor (GCD)
    
    Parameters:
    numbers - the numbers
    
    Returns:
    GCD(a_1,...,a_n) a_1,...,a_n in numbers
  - gcd
```
public static final double gcd(double... numbers)
```
    Greatest common divisor (GCD)
    
    Parameters:
    numbers - the numbers
    
    Returns:
    if each number form numbers <> Double.NaN returns GCD(a_1,...,a_n) a_1,...,a_n in numbers, otherwise returns Double.NaN.
  - lcm
```
public static final double lcm(int a,
         int b)
```
    Latest common multiply (LCM)
    
    Parameters:
    a - the a function parameter
    b - the b function parameter
    
    Returns:
    LCM(a,b)
  - lcm
```
public static final double lcm(double a,
         double b)
```
    Latest common multiply (LCM)
    
    Parameters:
    a - the a function parameter
    b - the b function parameter
    
    Returns:
    if a, b <> Double.NaN returns lcm( (int)Math.round(a), (int)Math.round(b) ), otherwise returns Double.NaN.
  - lcm
```
public static final double lcm(int... numbers)
```
    Latest common multiply (LCM)
    
    Parameters:
    numbers - the numbers
    
    Returns:
    LCM(a_1,...,a_n) a_1,...,a_n in numbers
  - lcm
```
public static final double lcm(double... numbers)
```
    Latest common multiply (LCM)
    
    Parameters:
    numbers - the numbers
    
    Returns:
    if each number form numbers <> Double.NaN returns LCM(a_1,...,a_n) a_1,...,a_n in numbers, otherwise returns Double.NaN.
  - sum
```
public static final double sum(double... numbers)
```
    Adding numbers.
    
    Parameters:
    numbers - the numbers
    
    Returns:
    if each number from numbers <> Double.NaN returns sum(a_1,...,a_n) a_1,...,a_n in numbers, otherwise returns Double.NaN.
  - prod
```
public static final double prod(double... numbers)
```
    Numbers multiplication.
    
    Parameters:
    numbers - the numbers
    
    Returns:
    if each number from numbers <> Double.NaN returns prod(a_1,...,a_n) a_1,...,a_n in numbers, otherwise returns Double.NaN.
  - primeTest
```
public static final boolean primeTest(long n)
```
    Prime test
    
    Parameters:
    n - The number to be tested.
    
    Returns:
    true if number is prime, otherwise false
  - primeTest
```
public static final double primeTest(double n)
```
    Prime test
    
    Parameters:
    n - The number to be tested.
    
    Returns:
    true if number is prime, otherwise false
  - primeCount
```
public static final long primeCount(long n)
```
    Prime counting function
    
    Parameters:
    n - number
    
    Returns:
    Number of primes below or equal x
  - primeCount
```
public static final double primeCount(double n)
```
    Prime counting function
    
    Parameters:
    n - number
    
    Returns:
    Number of primes below or equal x
  - sigmaSummation
```
public static final double sigmaSummation(Expression f,
                    Argument index,
                    double from,
                    double to,
                    double delta)
```
    Summation operator (SIGMA FROM i = a, to b, f(i) by delta
    
    Parameters:
    f - the expression
    index - the name of index argument
    from - FROM index = form
    to - TO index = to
    delta - BY delta
    
    Returns:
    summation operation (for empty summation operations returns 0).
  - piProduct
```
public static final double piProduct(Expression f,
               Argument index,
               double from,
               double to,
               double delta)
```
    Product operator
    
    Parameters:
    f - the expression
    index - the name of index argument
    from - FROM index = form
    to - TO index = to
    delta - BY delta
    
    Returns:
    product operation (for empty product operations returns 1).
    See Also:
    Expression, Argument
  - min
```
public static final double min(Expression f,
         Argument index,
         double from,
         double to,
         double delta)
```
    Minimum value - iterative operator.
    
    Parameters:
    f - the expression
    index - the name of index argument
    from - FROM index = form
    to - TO index = to
    delta - BY delta
    
    Returns:
    product operation (for empty product operations returns 1).
    See Also:
    Expression, Argument
  - max
```
public static final double max(Expression f,
         Argument index,
         double from,
         double to,
         double delta)
```
    Maximum value - iterative operator.
    
    Parameters:
    f - the expression
    index - the name of index argument
    from - FROM index = form
    to - TO index = to
    delta - BY delta
    
    Returns:
    product operation (for empty product operations returns 1).
    See Also:
    Expression, Argument

Class NumberTheory

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Constructor Detail

NumberTheory

Method Detail

min

min

max

max

gcd

gcd

gcd

gcd

lcm

lcm

lcm

lcm

sum

prod

primeTest

primeTest

primeCount

primeCount

sigmaSummation

piProduct

min

max