IGLib 1.4
The IGLib base library for development of numerical, technical and business applications.

IG::Num::Func3d2dExamples::HyperboloidParametricMinus Class Reference

Alternative parameterization of an origin-centered hyperboloid surface (x^2/a^2+y^2/b^2-z^2/c^2=1) in form of 3D vector function of 2 variables. One set of parameter curves are straight lines running in counter clockwise direction when watched from above. More...

Inheritance diagram for IG::Num::Func3d2dExamples::HyperboloidParametricMinus:
Collaboration diagram for IG::Num::Func3d2dExamples::HyperboloidParametricMinus:

List of all members.

Public Member Functions

 HyperboloidParametricMinus ()
 Construct a rotationally symmetric hyperboloid.
 HyperboloidParametricMinus (double r, double c)
 Construct a rotationally symmetric hyperboloid.
 HyperboloidParametricMinus (double a, double b, double c)
 Constructs parametric definition of an origin-centered hyperboloid with the specified parameter-stretching factors.

Protected Member Functions

override double f1 (double u, double v)
override double f2 (double u, double v)
override double f3 (double u, double v)

Detailed Description

Alternative parameterization of an origin-centered hyperboloid surface (x^2/a^2+y^2/b^2-z^2/c^2=1) in form of 3D vector function of 2 variables.

One set of parameter curves are straight lines running in counter clockwise direction when watched from above.

Parameterization is similar to HyperboloidParametricPlus, with difference in signs. $A Igor Oct09;


Constructor & Destructor Documentation

IG::Num::Func3d2dExamples::HyperboloidParametricMinus::HyperboloidParametricMinus ( ) [inline]

Construct a rotationally symmetric hyperboloid.

IG::Num::Func3d2dExamples::HyperboloidParametricMinus::HyperboloidParametricMinus ( double  r,
double  c 
) [inline]

Construct a rotationally symmetric hyperboloid.

Parameters:
rRadius of the smallest cross-section.
cHeight of the hyperboloid.
IG::Num::Func3d2dExamples::HyperboloidParametricMinus::HyperboloidParametricMinus ( double  a,
double  b,
double  c 
) [inline]

Constructs parametric definition of an origin-centered hyperboloid with the specified parameter-stretching factors.

Parameters:
aHalf-axis in the first coordinate direction at the smallest cross-section.
bHalf-axis in the second coordinate direction at the smallest cross-section.
cHeight.

Member Function Documentation

override double IG::Num::Func3d2dExamples::HyperboloidParametricMinus::f1 ( double  u,
double  v 
) [inline, protected, virtual]
override double IG::Num::Func3d2dExamples::HyperboloidParametricMinus::f2 ( double  u,
double  v 
) [inline, protected, virtual]
override double IG::Num::Func3d2dExamples::HyperboloidParametricMinus::f3 ( double  u,
double  v 
) [inline, protected, virtual]

The documentation for this class was generated from the following file:
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