Class Tools

Set of mathematical tools.

Inheritance

System.Object

Tools

Namespace: ISynergy.Framework.Mathematics.Common

Assembly: ISynergy.Framework.Mathematics.dll

Syntax

public static class Tools : object

Methods

View Source

Acosh(Double)

Returns the hyperbolic arc cosine of the specified value.

Declaration

public static double Acosh(double x)

Parameters

Type	Name	Description
System.Double	x

Returns

Type	Description
System.Double

View Source

Angle(Point, Point)

Gets the displacement angle between two points.

Declaration

public static double Angle(Point previous, Point next)

Parameters

Type	Name	Description
Point	previous
Point	next

Returns

Type	Description
System.Double

View Source

Angle(Double, Double)

Gets the angle formed by the vector [x,y].

Declaration

public static double Angle(double x, double y)

Parameters

Type	Name	Description
System.Double	x
System.Double	y

Returns

Type	Description
System.Double

View Source

Angle(Single, Single)

Gets the angle formed by the vector [x,y].

Declaration

public static float Angle(float x, float y)

Parameters

Type	Name	Description
System.Single	x
System.Single	y

Returns

Type	Description
System.Single

View Source

Asinh(Double)

Returns the hyperbolic arc sine of the specified value.

Declaration

public static double Asinh(double d)

Parameters

Type	Name	Description
System.Double	d

Returns

Type	Description
System.Double

View Source

Atanh(Double)

Returns the hyperbolic arc tangent of the specified value.

Declaration

public static double Atanh(double d)

Parameters

Type	Name	Description
System.Double	d

Returns

Type	Description
System.Double

View Source

Direction(Point, Point)

Gets the displacement angle between two points, coded as an integer varying from 0 to 20.

Declaration

public static int Direction(Point previous, Point next)

Parameters

Type	Name	Description
Point	previous
Point	next

Returns

Type	Description
System.Int32

View Source

FactorialPower(Int32, Int32)

Returns the factorial falling power of the specified value.

Declaration

public static int FactorialPower(int value, int degree)

Parameters

Type	Name	Description
System.Int32	value
System.Int32	degree

Returns

Type	Description
System.Int32

View Source

GetDecimalCount(Decimal)

Get decimals behind comma.

Declaration

public static int GetDecimalCount(decimal value)

Parameters

Type	Name	Description
System.Decimal	value

Returns

Type	Description
System.Int32

View Source

GetDecimalCount(Double)

Get decimals behind comma.

Declaration

public static int GetDecimalCount(double value)

Parameters

Type	Name	Description
System.Double	value

Returns

Type	Description
System.Int32

View Source

GreatestCommonDivisor(Int32, Int32)

Gets the greatest common divisor between two integers.

Declaration

public static int GreatestCommonDivisor(int a, int b)

Parameters

Type	Name	Description
System.Int32	a	First value.
System.Int32	b	Second value.

Returns

Type	Description
System.Int32	The greatest common divisor.

View Source

Hypotenuse(Decimal, Decimal)

Hypotenuse calculus without overflow/underflow

Declaration

public static decimal Hypotenuse(decimal a, decimal b)

Parameters

Type	Name	Description
System.Decimal	a	first value
System.Decimal	b	second value

Returns

Type	Description
System.Decimal	The hypotenuse Sqrt(a^2 + b^2)

View Source

Hypotenuse(Double, Double)

Hypotenuse calculus without overflow/underflow

Declaration

public static double Hypotenuse(double a, double b)

Parameters

Type	Name	Description
System.Double	a	First value
System.Double	b	Second value

Returns

Type	Description
System.Double	The hypotenuse Sqrt(a^2 + b^2)

View Source

Hypotenuse(Single, Single)

Hypotenuse calculus without overflow/underflow

Declaration

public static float Hypotenuse(float a, float b)

Parameters

Type	Name	Description
System.Single	a	first value
System.Single	b	second value

Returns

Type	Description
System.Single	The hypotenuse Sqrt(a^2 + b^2)

View Source

Interpolate1D(Double, Double[], Double[], Double, Double)

Interpolates data using a piece-wise linear function.

Declaration

public static double Interpolate1D(double value, double[] x, double[] y, double lower, double upper)

Parameters

Type	Name	Description
System.Double	value	The value to be calculated.
System.Double[]	x	The input data points `x`. Those values need to be sorted.
System.Double[]	y	The output data points `y`.
System.Double	lower	The value to be returned for values before the first point in `x`.
System.Double	upper	The value to be returned for values after the last point in `x`.

Returns

Type	Description
System.Double	Computes the output for f(value) by using a piecewise linear interpolation of the data points `x` and `y`.

View Source

InvSqrt(Single)

Fast inverse floating-point square root.

Declaration

public static float InvSqrt(float f)

Parameters

Type	Name	Description
System.Single	f

Returns

Type	Description
System.Single

View Source

IsPowerOf2(Int32)

Checks if the specified integer is power of 2.

Declaration

public static bool IsPowerOf2(int x)

Parameters

Type	Name	Description
System.Int32	x	Integer number to check.

Returns

Type	Description
System.Boolean	Returns true if the specified number is power of 2. Otherwise returns false.

View Source

Log2(Int32)

Get base of binary logarithm.

Declaration

public static int Log2(int x)

Parameters

Type	Name	Description
System.Int32	x	Source integer number.

Returns

Type	Description
System.Int32	Power of the number (base of binary logarithm).

View Source

Max(Double, Double, Double)

Gets the maximum value among three values.

Declaration

public static double Max(double a, double b, double c)

Parameters

Type	Name	Description
System.Double	a	The first value `a`.
System.Double	b	The second value `b`.
System.Double	c	The third value `c`.

Returns

Type	Description
System.Double	The maximum value among `a`, `b` and `c`.

View Source

Min(Double, Double, Double)

Gets the minimum value among three values.

Declaration

public static double Min(double a, double b, double c)

Parameters

Type	Name	Description
System.Double	a	The first value `a`.
System.Double	b	The second value `b`.
System.Double	c	The third value `c`.

Returns

Type	Description
System.Double	The minimum value among `a`, `b` and `c`.

View Source

Mod(Double, Double)

Gets the proper modulus operation for a real value x and modulo m.

Declaration

public static double Mod(double x, double m)

Parameters

Type	Name	Description
System.Double	x
System.Double	m

Returns

Type	Description
System.Double

View Source

Mod(Int32, Int32)

Gets the proper modulus operation for an integer value x and modulo m.

Declaration

public static int Mod(int x, int m)

Parameters

Type	Name	Description
System.Int32	x
System.Int32	m

Returns

Type	Description
System.Int32

View Source

NextPowerOf2(Int32)

Returns the next power of 2 after the input value x.

Declaration

public static int NextPowerOf2(int x)

Parameters

Type	Name	Description
System.Int32	x	Input value x.

Returns

Type	Description
System.Int32	Returns the next power of 2 after the input value x.

View Source

Pow2(Int32)

Calculates power of 2.

Declaration

public static int Pow2(int power)

Parameters

Type	Name	Description
System.Int32	power	Power to raise in.

Returns

Type	Description
System.Int32	Returns specified power of 2 in the case if power is in the range of [0, 30]. Otherwise returns 0.

View Source

PreviousPowerOf2(Int32)

Returns the previous power of 2 after the input value x.

Declaration

public static int PreviousPowerOf2(int x)

Parameters

Type	Name	Description
System.Int32	x	Input value x.

Returns

Type	Description
System.Int32	Returns the previous power of 2 after the input value x.

View Source

Sqrt(Decimal, Decimal)

Returns the square root of the specified number.

Declaration

public static decimal Sqrt(decimal x, decimal epsilon = 0.0M)

Parameters

Type	Name	Description
System.Decimal	x
System.Decimal	epsilon

Returns

Type	Description
System.Decimal

View Source

TruncatedPower(Double, Double)

Truncated power function.

Declaration

public static double TruncatedPower(double value, double degree)

Parameters

Type	Name	Description
System.Double	value
System.Double	degree

Returns

Type	Description
System.Double