C# Класс YAMP.Numerics.Helpers

Provides some commonly used methods for numeric algorithms.

Открытые свойства

Свойство	Тип	Описание
BernoulliNumbers	Double[]
LanczosD	Double[]
LogPI	Double
LogTwo	Double
SqrtPI	Double
SqrtThree	Double
SqrtTwo	Double
SqrtTwoPI	Double
TwoPIpow	Double[]

Открытые методы

Метод	Описание
BinomialCoefficient ( Double n, Double k ) : Double	Computes the real binomial coefficient (almost general) given two values, n choose k.
BinomialCoefficient ( ScalarValue n, ScalarValue k ) : ScalarValue	Computes the complex binomial coefficient (very general) given two values, n choose k.
ChebEval ( ChebSeries cs, Double x ) : Double	Evaluate a real Chebyshev polynomial on an interval, given the coefficients.
ChebEval ( Int32 n, Double coefficients, Double x ) : Double	Evaluate a real Chebyshev polynomial on an interval, given the coefficients.
ChebEval ( ChebSeries cs, ScalarValue z ) : ScalarValue	Evaluate a complex Chebyshev polynomial on an interval, given the coefficients.
ComputeRoots ( Int32 N, Int32 sign ) : ScalarValue[]	computes the N-th roots of unity, which are the factors in a length-N Fourier transform.
Factorial ( Int32 n ) : Double	Computes the factorial of an integer and returns a double with the result.
GCD ( Int32 A, Int32 B ) : Int32	Computes the greatest common divisor of two numbers.
Hypot ( Double a, Double b ) : Double	Computes the length of a right triangle's hypotenuse.
IsPrimeNumber ( Int32 n ) : System.Boolean	Returns a boolean if the given integer is a prime number.
PowMod ( Int32 b, Int32 e, Int32 m ) : Int32	Computes a power of an integer in modular arithmetic.
Power ( ScalarValue z, Int32 n ) : ScalarValue	Takes the power of z to an integer n.

Приватные методы

Метод	Описание
IsProbablyPrime ( Int32 n, Int32 m, Int32 s, Int32 d, Int32 w ) : System.Boolean

Описание методов

BinomialCoefficient() публичный статический Метод

Computes the real binomial coefficient (almost general) given two values, n choose k.

public static BinomialCoefficient ( Double n, Double k ) : Double
n	Double	We have n elements.
k	Double	We choose k elements.
Результат	Double

BinomialCoefficient() публичный статический Метод

Computes the complex binomial coefficient (very general) given two values, n choose k.

public static BinomialCoefficient ( ScalarValue n, ScalarValue k ) : ScalarValue
n	ScalarValue	We have n elements.
k	ScalarValue	We choose k elements.
Результат	ScalarValue

ChebEval() публичный статический Метод

Evaluate a real Chebyshev polynomial on an interval, given the coefficients.

public static ChebEval ( ChebSeries cs, Double x ) : Double
cs	ChebSeries	The coefficients to consider.
x	Double	The real evaluation argument.
Результат	Double

ChebEval() публичный статический Метод

Evaluate a real Chebyshev polynomial on an interval, given the coefficients.

public static ChebEval ( Int32 n, Double coefficients, Double x ) : Double
n	System.Int32	The order for the summation of the polynomial.
coefficients	Double	The coefficients to consider.
x	Double	The real evaluation argument.
Результат	Double

ChebEval() публичный статический Метод

Evaluate a complex Chebyshev polynomial on an interval, given the coefficients.

public static ChebEval ( ChebSeries cs, ScalarValue z ) : ScalarValue
cs	ChebSeries	The coefficients to consider.
z	ScalarValue	The complex evaluation argument.
Результат	ScalarValue

ComputeRoots() публичный статический Метод

computes the N-th roots of unity, which are the factors in a length-N Fourier transform.

public static ComputeRoots ( Int32 N, Int32 sign ) : ScalarValue[]
N	System.Int32	What number of roots.
sign	System.Int32	The sign to take.
Результат	ScalarValue[]

Factorial() публичный статический Метод

Computes the factorial of an integer and returns a double with the result.

public static Factorial ( Int32 n ) : Double
n	System.Int32	The argument to take the factorial.
Результат	Double

GCD() публичный статический Метод

Computes the greatest common divisor of two numbers.

public static GCD ( Int32 A, Int32 B ) : Int32
A	System.Int32	The first number.
B	System.Int32	The second number.
Результат	System.Int32

Hypot() публичный статический Метод

Computes the length of a right triangle's hypotenuse.

public static Hypot ( Double a, Double b ) : Double
a	Double	The length of one side.
b	Double	The length of another side.
Результат	Double

IsPrimeNumber() публичный статический Метод

Returns a boolean if the given integer is a prime number.

public static IsPrimeNumber ( Int32 n ) : System.Boolean
n	System.Int32	The integer to examine.
Результат	System.Boolean

PowMod() публичный статический Метод

Computes a power of an integer in modular arithmetic.

public static PowMod ( Int32 b, Int32 e, Int32 m ) : Int32
b	System.Int32	The base, which must be positive.
e	System.Int32	The exponent, which must be positive.
m	System.Int32	The modulus, which must be positive.
Результат	System.Int32

Power() публичный статический Метод

Takes the power of z to an integer n.

public static Power ( ScalarValue z, Int32 n ) : ScalarValue
z	ScalarValue	The complex value z in C.
n	System.Int32	The power n in N.
Результат	ScalarValue

Описание свойств

BernoulliNumbers публичное статическое свойство

Provides access to the first 21 bernoulli numbers.

public static Double[] BernoulliNumbers
Результат	Double[]

LanczosD публичное статическое свойство

Provides access do some Lanczos numbers.

public static Double[] LanczosD
Результат	Double[]

LogPI публичное статическое свойство

Value of ln(Pi)

public static Double LogPI
Результат	Double

LogTwo публичное статическое свойство

Value of ln(2)

public static Double LogTwo
Результат	Double

SqrtPI публичное статическое свойство

Value of Sqrt(Pi)

public static Double SqrtPI
Результат	Double

SqrtThree публичное статическое свойство

Value of Sqrt(3)

public static Double SqrtThree
Результат	Double

SqrtTwo публичное статическое свойство

Value of Sqrt(2)

public static Double SqrtTwo
Результат	Double

SqrtTwoPI публичное статическое свойство

Value of Sqrt(2 * Pi)

public static Double SqrtTwoPI
Результат	Double

TwoPIpow публичное статическое свойство

Provides access to (2*pi)^(10*n) with n = 0, ..., 17.

public static Double[] TwoPIpow
Результат	Double[]