Class MATH contains mathematic functions and constants More...

Public Member Functions
bool	LineIntersection (object A1, object A2, object B1, object B2, out object Intersection)
	Calculates intersection of two lines More...

double	GetAreaOfPolygon (IList Points)
	Calculates area of non-self-intersecting closed polygon More...

PointD	GetCenterOfGravityOfPolygon (IList Points)
	Get center of gravity of the non-self-intersecting closed polygon More...

TStructure	GetMOIOfPolygon (IList Points)
	Calculates main moments of innertia (Iy, Iz, Iyz) of the non-self-intersecting closed polygon. Moments are relative to the horizontal (Y) and vertical (Z) axis, with origin in center of gravity More...

TStructure	GetMOIOfPolygon (IList Points, double Origin_Y, double Origin_Z)
	Calculates main moments of innertia (Iy, Iz, Iyz) of the non-self-intersecting closed polygon. Moments are relative to the horizontal (Y) and vertical (Z) axis, with origin in given coordinates More...

List< object >	GetPolynomRoots (IList Coefficients)
	Calculate real roots of given polynomial More...

List< Complex >	GetPolynomComplexRoots (IList Coefficients)
	Calculate complex roots of given polynomial More...

List< object >	GetPolynomRoots0 (IList Coefficients)
	Calculate real roots of given polynomial More...

List< Complex >	GetPolynomComplexRoots0 (IList Coefficients)
	Calculate complex roots of given polynomial More...

List< object >	GetPolynomRoots (double X0, double X1, double X2, double X3, double X4, double X5, double X6)
	Calculate real roots of given polynomial More...

List< Complex >	GetPolynomComplexRoots (double X0, double X1, double X2, double X3, double X4, double X5, double X6)
	Calculate complext roots of given polynomial More...

TStructure	SolveQuadraticEquation (double A, double B, double C)
	Solve quadratic equation More...

TStructure	SolveCubicEquation (double A, double B, double C, double D)
	Solve cubic equation More...

TMatrix	GetTransformationMatrix3D (TVector3D Axis, double Angle)

TMatrix	GetIsometryMatrix3D (double Alpha, double Beta)
	Return isometry transformation matrix More...

double	Dist (double X1, double Y1, double X2, double Y2)
	Calculate distance of two 2D points More...

double	Dist (object P1, object P2)
	Calculate distance of two 2D points More...

Public Attributes
double	PI = Math.PI
	π = 3.14159265359 More...

double	E = Math.E
	Euler's constant e = 2.71828182846 More...

double	NaN = double.NaN
	NotAnyNumber More...

Detailed Description

Class MATH contains mathematic functions and constants

Member Function Documentation

double Dist	(	double	X1,
		double	Y1,
		double	X2,
		double	Y2
	)

Calculate distance of two 2D points

Parameters

X1	X coordinate of first point
Y1	Y coordinate of first point
X2	X coordinate of second point
Y2	Y coordinate of second point

Returns: Distance of points

double Dist	(	object	P1,
		object	P2
	)

Calculate distance of two 2D points

Parameters

P1	First point
P2	Second point

Returns: Distance of points

double GetAreaOfPolygon ( IList Points )

Calculates area of non-self-intersecting closed polygon

Parameters

Points Points defining non-self-intersecting closed polygon

Returns: Area of the polygon

PointD GetCenterOfGravityOfPolygon ( IList Points )

Get center of gravity of the non-self-intersecting closed polygon

Parameters

Points Points defining non-self-intersecting closed polygon

Returns: Point [X, Y] in center of gravity

TMatrix GetIsometryMatrix3D	(	double	Alpha,
		double	Beta
	)

Return isometry transformation matrix

Parameters

Alpha	Rotation around X-axis
Beta	Rotation around Y-axis

Returns: Transformation matrix

TStructure GetMOIOfPolygon ( IList Points )

Calculates main moments of innertia (Iy, Iz, Iyz) of the non-self-intersecting closed polygon. Moments are relative to the horizontal (Y) and vertical (Z) axis, with origin in center of gravity

Parameters

Points Points defining non-self-intersecting closed polygon

Returns

"Iy" - Moment of innertia to the axis y-y
"Iz" - Moment of innertia to the axis z-z
"Iyz" - Moment of innertia to the axis y-z

TStructure GetMOIOfPolygon	(	IList	Points,
		double	Origin_Y,
		double	Origin_Z
	)

Calculates main moments of innertia (Iy, Iz, Iyz) of the non-self-intersecting closed polygon. Moments are relative to the horizontal (Y) and vertical (Z) axis, with origin in given coordinates

Parameters

Points	Points defining non-self-intersecting closed polygon
Origin_Y	Y-coordinate of the origin of coordination system
Origin_Z	Z-coordinate of the origin of coordination system

Returns

"Iy" - Moment of innertia to the axis y-y
"Iz" - Moment of innertia to the axis z-z
"Iyz" - Moment of innertia to the axis y-z

List<Complex> GetPolynomComplexRoots ( IList Coefficients )

Calculate complex roots of given polynomial

Parameters

Coefficients List of polynom coefficients sorted from highest grade to the lowest (Xn, ... X2, X1, X0)

Returns: Complex roots of the polynom

List<Complex> GetPolynomComplexRoots	(	double	X0,
		double	X1,
		double	X2,
		double	X3,
		double	X4,
		double	X5,
		double	X6
	)

Calculate complext roots of given polynomial

Parameters

X0	Coefficient of X^0
X1	Coefficient of X^1
X2	Coefficient of X^2
X3	Coefficient of X^3
X4	Coefficient of X^4
X5	Coefficient of X^5
X6	Coefficient of X^6

Returns: Complext roots of the polynom

List<Complex> GetPolynomComplexRoots0 ( IList Coefficients )

Calculate complex roots of given polynomial

Parameters

Coefficients List of polynom coefficients sorted from 0 to N (X0, X1, X2 ... Xn)

Returns: Complex roots of the polynom

List<object> GetPolynomRoots ( IList Coefficients )

Calculate real roots of given polynomial

Parameters

Coefficients List of polynom coefficients sorted from highest grade to the lowest (Xn, ... X2, X1, X0)

Returns: Real roots of the polynom

List<object> GetPolynomRoots	(	double	X0,
		double	X1,
		double	X2,
		double	X3,
		double	X4,
		double	X5,
		double	X6
	)

Calculate real roots of given polynomial

Parameters

X0	Coefficient of X^0
X1	Coefficient of X^1
X2	Coefficient of X^2
X3	Coefficient of X^3
X4	Coefficient of X^4
X5	Coefficient of X^5
X6	Coefficient of X^6

Returns: Real roots of the polynom

List<object> GetPolynomRoots0 ( IList Coefficients )

Calculate real roots of given polynomial

Parameters

Coefficients List of polynom coefficients sorted from 0 to N (X0, X1, X2 ... Xn)

Returns: Real roots of the polynom

TMatrix GetTransformationMatrix3D	(	TVector3D	Axis,
		double	Angle
	)

Parameters

Axis
Angle

Returns

bool LineIntersection	(	object	A1,
		object	A2,
		object	B1,
		object	B2,
		out object	Intersection
	)

Calculates intersection of two lines

Parameters

A1	First point of the first line
A2	Second point of the first line
B1	First point of the second line
B2	Second point of the second line
Intersection	Out parameter - intersection point

Returns: TRUE, if intersection is found AND intersection is inside both lines; otherwise false

TStructure SolveCubicEquation	(	double	A,
		double	B,
		double	C,
		double	D
	)

Solve cubic equation

Parameters

A	Coefficient of X3
B	Coefficient of X2
C	Coefficient of X1
D	Coefficient of X0

Returns: Structure with roots and/or additional message (one/two roots, no real roots, ...)

TStructure SolveQuadraticEquation	(	double	A,
		double	B,
		double	C
	)

Solve quadratic equation

Parameters

A	Coefficient of X2
B	Coefficient of X1
C	Coefficient of X0

Returns: Structure with roots and/or additional message (one root, no real roots)

Member Data Documentation

double E = Math.E

Euler's constant e = 2.71828182846

double NaN = double.NaN

NotAnyNumber

double PI = Math.PI

π = 3.14159265359

Public Member Functions

Public Attributes

Detailed Description

Member Function Documentation

Member Data Documentation