Class Algebra

Contains algebraic and general-purpose mathematical functions.

Inheritance

object

Algebra

Inherited Members

object.Equals(object)

object.Equals(object, object)

object.GetHashCode()

object.GetType()

object.MemberwiseClone()

object.ReferenceEquals(object, object)

object.ToString()

Namespace: TheXDS.MCART.Math

Assembly: MCART.dll

Syntax

public static class Algebra

Methods

AreNegative<T>(IEnumerable<T>)

Returns true if all numbers are negative.

Declaration

public static bool AreNegative<T>(this IEnumerable<T> values) where T : struct, IComparable<T>

Parameters

Type	Name	Description
IEnumerable<T>	values	Numbers to check.

Returns

Type	Description
bool	true if all numbers in the collection are negative, false otherwise.

Type Parameters

Name	Description
T

AreNegative<T>(params T[])

Returns true if all numbers are negative.

Declaration

public static bool AreNegative<T>(params T[] values) where T : struct, IComparable<T>

Parameters

Type	Name	Description
T[]	values	Numbers to check.

Returns

Type	Description
bool	true if all numbers in the collection are negative, false otherwise.

Type Parameters

Name	Description
T

AreNotZero<T>(IEnumerable<T>)

Returns true if all numbers are not equal to zero.

Declaration

public static bool AreNotZero<T>(this IEnumerable<T> x) where T : struct, IComparable<T>

Parameters

Type	Name	Description
IEnumerable<T>	x	Numbers to check.

Returns

Type	Description
bool	true if all numbers in the collection are not equal to zero, false otherwise.

Type Parameters

Name	Description
T	Type of elements to check.

AreNotZero<T>(params T[])

Returns true if all numbers are not equal to zero.

Declaration

public static bool AreNotZero<T>(params T[] x) where T : struct, IComparable<T>

Parameters

Type	Name	Description
T[]	x	Numbers to check.

Returns

Type	Description
bool	true if all numbers in the collection are not equal to zero, false otherwise.

Type Parameters

Name	Description
T	Type of elements to check.

ArePositive<T>(IEnumerable<T>)

Returns true if all numbers are positive.

Declaration

public static bool ArePositive<T>(this IEnumerable<T> values) where T : struct, IComparable<T>

Parameters

Type	Name	Description
IEnumerable<T>	values	Numbers to check.

Returns

Type	Description
bool	true if all numbers in the collection are positive, false otherwise.

Type Parameters

Name	Description
T

ArePositive<T>(params T[])

Returns true if all numbers are positive.

Declaration

public static bool ArePositive<T>(params T[] values) where T : struct, IComparable<T>

Parameters

Type	Name	Description
T[]	values	Numbers to check.

Returns

Type	Description
bool	true if all numbers in the collection are positive, false otherwise.

Type Parameters

Name	Description
T

AreValid(IEnumerable<double>)

Determines if a collection of double are valid operable real numbers.

Declaration

public static bool AreValid(this IEnumerable<double> values)

Parameters

Type	Name	Description
IEnumerable<double>	values	Collection of double to check.

Returns

Type	Description
bool	true if all elements of values are operable numbers, in other words, if they are not NaN or Infinity; otherwise, returns false.

AreValid(IEnumerable<float>)

Determines if a collection of float are valid operable real numbers.

Declaration

public static bool AreValid(this IEnumerable<float> values)

Parameters

Type	Name	Description
IEnumerable<float>	values	Collection of float to check.

Returns

Type	Description
bool	true if all elements of values are operable numbers, in other words, if they are not NaN or Infinity; otherwise, returns false.

AreValid(params double[])

Determines if a collection of double are valid operable real numbers.

Declaration

public static bool AreValid(params double[] values)

Parameters

Type	Name	Description
double[]	values	Collection of double to check.

Returns

Type	Description
bool	true if all elements of values are operable numbers, in other words, if they are not NaN or Infinity; otherwise, returns false.

AreValid(params float[])

Determines if a collection of float are valid operable real numbers.

Declaration

public static bool AreValid(params float[] values)

Parameters

Type	Name	Description
float[]	values	Collection of float to check.

Returns

Type	Description
bool	true if all elements of values are operable numbers, in other words, if they are not NaN or Infinity; otherwise, returns false.

AreZero<T>(IEnumerable<T>)

Returns true if all numbers are equal to zero.

Declaration

public static bool AreZero<T>(this IEnumerable<T> values) where T : struct, IComparable<T>

Parameters

Type	Name	Description
IEnumerable<T>	values	Numbers to check.

Returns

Type	Description
bool	true if all numbers in the collection are equal to zero, false otherwise.

Type Parameters

Name	Description
T	Type of elements to check.

AreZero<T>(params T[])

Returns true if all numbers are equal to zero.

Declaration

public static bool AreZero<T>(params T[] values) where T : struct, IComparable<T>

Parameters

Type	Name	Description
T[]	values	Numbers to check.

Returns

Type	Description
bool	true if all numbers in the collection are equal to zero, false otherwise.

Type Parameters

Name	Description
T	Type of elements to check.

IsPrime(in byte)

Checks if a number is prime.

Declaration

public static bool IsPrime(this in byte number)

Parameters

Type	Name	Description
byte	number	Number to check.

Returns

Type	Description
bool	true if the number is prime, false otherwise.

IsPrime(in short)

Checks if a number is prime.

Declaration

public static bool IsPrime(this in short number)

Parameters

Type	Name	Description
short	number	Number to check.

Returns

Type	Description
bool	true if the number is prime, false otherwise.

IsPrime(in int)

Checks if a number is prime.

Declaration

public static bool IsPrime(this in int number)

Parameters

Type	Name	Description
int	number	Number to check.

Returns

Type	Description
bool	true if the number is prime, false otherwise.

IsPrime(in long)

Checks if a number is prime using trial division.

Declaration

public static bool IsPrime(this in long number)

Parameters

Type	Name	Description
long	number	Number to check.

Returns

Type	Description
bool	true if the number is prime, false otherwise.

IsPrime(in sbyte)

Checks if a number is prime.

Declaration

[CLSCompliant(false)]
public static bool IsPrime(this in sbyte number)

Parameters

Type	Name	Description
sbyte	number	Number to check.

Returns

Type	Description
bool	trueif the number is prime, false otherwise.

IsPrime(in ushort)

Checks if a number is prime.

Declaration

[CLSCompliant(false)]
public static bool IsPrime(this in ushort number)

Parameters

Type	Name	Description
ushort	number	Number to check.

Returns

Type	Description
bool	trueif the number is prime, false otherwise.

IsPrime(in uint)

Checks if a number is prime.

Declaration

[CLSCompliant(false)]
public static bool IsPrime(this in uint number)

Parameters

Type	Name	Description
uint	number	Number to check.

Returns

Type	Description
bool	trueif the number is prime, false otherwise.

IsPrimeMp(in byte)

Checks if a number is prime using trial division, executing the operation on all processors in the system.

Declaration

public static bool IsPrimeMp(this in byte number)

Parameters

Type	Name	Description
byte	number	Number to check.

Returns

Type	Description
bool	trueif the number is prime, false otherwise.

IsPrimeMp(in short)

Checks if a number is prime using trial division, executing the operation on all processors in the system.

Declaration

public static bool IsPrimeMp(this in short number)

Parameters

Type	Name	Description
short	number	Number to check.

Returns

Type	Description
bool	true if the number is prime, false otherwise.

IsPrimeMp(in int)

Checks if a number is prime using trial division, executing the operation on all processors in the system.

Declaration

public static bool IsPrimeMp(this in int number)

Parameters

Type	Name	Description
int	number	Number to check.

Returns

Type	Description
bool	true if the number is prime, false otherwise.

IsPrimeMp(long)

Checks if a number is prime using trial division, executing the operation on all processors in the system.

Declaration

public static bool IsPrimeMp(this long number)

Parameters

Type	Name	Description
long	number	Number to check.

Returns

Type	Description
bool	true if the number is prime, false otherwise.

IsPrimeMp(in sbyte)

Checks if a number is prime using trial division, executing the operation on all processors in the system.

Declaration

[CLSCompliant(false)]
public static bool IsPrimeMp(this in sbyte number)

Parameters

Type	Name	Description
sbyte	number	Number to check.

Returns

Type	Description
bool	true if the number is prime, false otherwise.

IsPrimeMp(in ushort)

Checks if a number is prime using trial division, executing the operation on all processors in the system.

Declaration

[CLSCompliant(false)]
public static bool IsPrimeMp(this in ushort number)

Parameters

Type	Name	Description
ushort	number	Number to check.

Returns

Type	Description
bool	true if the number is prime, false otherwise.

IsPrimeMp(in uint)

Checks if a number is prime using trial division, executing the operation on all processors in the system.

Declaration

[CLSCompliant(false)]
public static bool IsPrimeMp(this in uint number)

Parameters

Type	Name	Description
uint	number	Number to check.

Returns

Type	Description
bool	true if the number is prime, false otherwise.

IsTwoPow(in byte)

Determines if the value is a power of 2.

Declaration

public static bool IsTwoPow(in byte value)

Parameters

Type	Name	Description
byte	value	Value to check.

Returns

Type	Description
bool	true if the value is a power of 2, false otherwise.

IsTwoPow(in short)

Determines if the value is a power of 2.

Declaration

public static bool IsTwoPow(in short value)

Parameters

Type	Name	Description
short	value	Value to check.

Returns

Type	Description
bool	true if the value is a power of 2, false otherwise.

IsTwoPow(in int)

Determines if the value is a power of 2.

Declaration

public static bool IsTwoPow(in int value)

Parameters

Type	Name	Description
int	value	Value to check.

Returns

Type	Description
bool	true if the value is a power of 2, false otherwise.

IsTwoPow(in long)

Determines if the value is a power of 2.

Declaration

public static bool IsTwoPow(in long value)

Parameters

Type	Name	Description
long	value	Value to check.

Returns

Type	Description
bool	true if the value is a power of 2, false otherwise.

IsTwoPow(in sbyte)

Determines if the value is a power of 2.

Declaration

[CLSCompliant(false)]
public static bool IsTwoPow(in sbyte value)

Parameters

Type	Name	Description
sbyte	value	Value to check.

Returns

Type	Description
bool	true if the value is a power of 2, false otherwise.

IsTwoPow(in ushort)

Determines if the value is a power of 2.

Declaration

[CLSCompliant(false)]
public static bool IsTwoPow(in ushort value)

Parameters

Type	Name	Description
ushort	value	Value to check.

Returns

Type	Description
bool	true if the value is a power of 2, false otherwise.

IsTwoPow(in uint)

Determines if the value is a power of 2.

Declaration

[CLSCompliant(false)]
public static bool IsTwoPow(in uint value)

Parameters

Type	Name	Description
uint	value	Value to check.

Returns

Type	Description
bool	true if the value is a power of 2, false otherwise.

IsTwoPow(in ulong)

Determines if the value is a power of 2.

Declaration

[CLSCompliant(false)]
public static bool IsTwoPow(in ulong value)

Parameters

Type	Name	Description
ulong	value	Value to check.

Returns

Type	Description
bool	true if the value is a power of 2, false otherwise.

IsValid(in double)

Determines if a double is a valid operable real number.

Declaration

public static bool IsValid(this in double value)

Parameters

Type	Name	Description
double	value	double to check.

Returns

Type	Description
bool	true if value is a valid real double, in other words, if it is not equal to NaN, PositiveInfinity or NegativeInfinity; otherwise, returns false.

IsValid(in float)

Determines if a float is a valid operable real number.

Declaration

public static bool IsValid(this in float value)

Parameters

Type	Name	Description
float	value	float to check.

Returns

Type	Description
bool	true if value is a valid real float, in other words, if it is not equal to NaN, PositiveInfinity or NegativeInfinity; otherwise, returns false.

IsWhole(in double)

Determines if a double is a whole number.

Declaration

public static bool IsWhole(this in double value)

Parameters

Type	Name	Description
double	value	Value to check.

Returns

Type	Description
bool	true if the value is an integer; otherwise, false

Nearest2Pow(in int)

Calculates the nearest power of two greater than or equal to the value.

Declaration

public static long Nearest2Pow(in int value)

Parameters

Type	Name	Description
int	value	Input value. A power of two greater than or equal to this value will be searched for.

Returns

Type	Description
long	A long value that is the result of the operation.

NearestPowerUp(in double, in double)

Returns the first power of powerBase that is greater than value.

Declaration

public static double NearestPowerUp(in double value, in double powerBase)

Parameters

Type	Name	Description
double	value	Target number.
double	powerBase	Power base.

Returns

Type	Description
double	A double that is the first power of powerBase that is greater than value.