Surface3DLib.MathFunc Class Reference

A static class MathFunc. More...

Static Public Member Functions
static Vector3	GetMathFunction (MathFunctionEnum enumFunc, float x, float z, List< float > parameters=null)
	Get a built-in math function. More...
static Vector3	Sinc (float x, float z)
	This method produces a Vector3 point on a 3D Sinc surface described by the Sinc function. More...
static void	SincAnimation (float speed)
	This method is used to animate the sinc function. More...
static Vector3	Peaks (float x, float z)
	This method produces a Vector3 point on a 3D Peaks surface described by the Peaks function. More...
static void	PeaksAnimation (float speed)
	This method is used to animate the peaks function. More...
static Vector3	ExpFunc (float x, float z)
	This method produces a Vector3 point on a 3D exponential surface described by the function. More...
static void	ExpFuncAnimation (float speed)
	This method is used to animate the exp function. More...
static Vector3	SinCos (float x, float z)
	this method produces a Vector3 point on a 3D sine-cosine surface described by the function. More...
static void	SinCosAnimation (float speed)
	this method is used to animate the sine-cosine function. More...

Detailed Description

A static class MathFunc.

It contains methods to define several built-in math functions used to create 3D surfaces. It also implements several animation methods that allow the user to animate the corresponding math functions.

Member Function Documentation

ExpFunc()

static Vector3 Surface3DLib.MathFunc.ExpFunc ( float  x, float  z  )

static

This method produces a Vector3 point on a 3D exponential surface described by the function.

y = exp(cos(a*r)), where r = sqrt(x^2 + z^2) and a is parameter.

Parameters

x	input variable x.
z	input variable y.

Returns

a Vector3 point.

ExpFuncAnimation()

static void Surface3DLib.MathFunc.ExpFuncAnimation ( float  speed )

static

This method is used to animate the exp function.

It uses the simulation speed as its input.

Parameters

speed

animation speed.

Returns

a Vector3 point.

GetMathFunction()

static Vector3 Surface3DLib.MathFunc.GetMathFunction ( MathFunctionEnum  enumFunc, float  x, float  z, List< float >  parameters = null  )

static

Get a built-in math function.

It can be specified using MathFunctionEnum.

Parameters

enumFunc	Enumeration used to specify a built-in math function.
x	Input variable x.
z	Input variable z.
parameters	Optional parameters of type a float list.

Returns

A Vector3 point for the selected function.

Peaks()

static Vector3 Surface3DLib.MathFunc.Peaks ( float  x, float  z  )

static

This method produces a Vector3 point on a 3D Peaks surface described by the Peaks function.

y = 3*(1-x)^2*exp(-a*(x^2) - a*(z+1)^2) - 10*(x/5 - x^3 - z^5)*exp(-b*x^2-b*z^2) - 1/3*exp(-c*(x+1)^2 - c*z^2). this function uses three parameters a > 0, b > 0, and c > 0.

Parameters

x	input variable x.
z	input variable y.

Returns

a Vector3 point.

PeaksAnimation()

static void Surface3DLib.MathFunc.PeaksAnimation ( float  speed )

static

This method is used to animate the peaks function.

It uses the simulation speed as its input.

Parameters

speed

animation speed.

Returns

a Vector3 point.

Sinc()

static Vector3 Surface3DLib.MathFunc.Sinc ( float  x, float  z  )

static

This method produces a Vector3 point on a 3D Sinc surface described by the Sinc function.

y = sin(r)/r, where r = a * sqrt(x^2 + z^2). Here a is a parameter.

Parameters

x	input variable x.
z	input variable y.

Returns

a Vector3 point.

SincAnimation()

static void Surface3DLib.MathFunc.SincAnimation ( float  speed )

static

This method is used to animate the sinc function.

It uses the simulation speed as its input.

Parameters

speed

animation speed.

Returns

a Vector3 point.

SinCos()

static Vector3 Surface3DLib.MathFunc.SinCos ( float  x, float  z  )

static

this method produces a Vector3 point on a 3D sine-cosine surface described by the function.

y = a*sin(c*x) + b*cos(c*z), where a, b, and c are parameters with default a = 1 and b = 1, and c = 1.

Parameters

x	input variable x.
z	input variable y.

Returns

a Vector3 point.

SinCosAnimation()

static void Surface3DLib.MathFunc.SinCosAnimation ( float  speed )

static

this method is used to animate the sine-cosine function.

It uses the simulation speed as its input.

Parameters

speed

animation speed.

Returns

a Vector3 point.