IGLib
1.5
The IGLib base library for development of numerical, technical and business applications.
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Parametric equation of an origin-centered sphere. More...
Public Member Functions | |
SphereParametric () | |
Constructs parametric definition of a unit sphere More... | |
SphereParametric (double r) | |
Construct a parametric definition of an origin-centered sphere with a specified radius. More... | |
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EllipsoidParametric () | |
Construct an ellipsoid with some typical values for half-axes. More... | |
EllipsoidParametric (double a, double b, double c) | |
Constructs parametric definition of an origin-centered ellipsoid by the specified values of half-axes. More... | |
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void | SetBounds (double minX, double maxX, double minY, double maxY) |
Sets the bounds. More... | |
void | SetNumPoints (int numX, int numY) |
Sets recommended number of plot points along parameter curves. More... | |
override double | Value1 (double x, double y) |
Calculates and returns value of the first component of the current function. More... | |
override double | Value2 (double x, double y) |
Calculates and returns value of the second component of the current function. More... | |
override double | Value3 (double x, double y) |
Calculates and returns value of the third component of the current function. More... | |
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override void | Gradient1 (double x, double y, out double gradx, out double grady) |
Function for calculating gradient of the first component of vector function, just throws the NotImplementedException exception. More... | |
override void | Gradient2 (double x, double y, out double gradx, out double grady) |
Function for calculating gradient of the second component of vector function, just throws the NotImplementedException exception. More... | |
override void | Gradient3 (double x, double y, out double gradx, out double grady) |
Function for calculating gradient of the third component of vector function, just throws the NotImplementedException exception. More... | |
override void | Hessian1 (double x, double y, out double dxx, out double dyy, out double dxy) |
Function for calculating Hessian of the first component, just throws the NotImplementedException exception. More... | |
override void | Hessian2 (double x, double y, out double dxx, out double dyy, out double dxy) |
Function for calculating Hessian of the second component, just throws the NotImplementedException exception. More... | |
override void | Hessian3 (double x, double y, out double dxx, out double dyy, out double dxy) |
Function for calculating Hessian of the third component, just throws the NotImplementedException exception. More... | |
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virtual double | Value1 (vec2 parameters) |
Calculates and returns value of the first component of the current function. More... | |
virtual double | Value2 (vec2 parameters) |
Calculates and returns value of the second component of the current function. More... | |
virtual double | Value3 (vec2 parameters) |
Calculates and returns value of the third component of the current function. More... | |
virtual vec2 | Gradient1 (vec2 parameters) |
Calculates and returns gradient of the first component of the current function. More... | |
virtual vec2 | Gradient2 (vec2 parameters) |
Calculates and returns gradient of the second component of the current function. More... | |
virtual vec2 | Gradient3 (vec2 parameters) |
Calculates and returns gradient of the third component of the current function. More... | |
virtual mat2 | Hessian1 (vec2 parameters) |
Calculates and returns Hessian of the first component of the current function and returns it (in the form of a mat2 struct). More... | |
virtual mat2 | Hessian2 (vec2 parameters) |
Calculates and returns Hessian of the second component of the current function and returns it (in the form of a mat2 struct). More... | |
virtual mat2 | Hessian3 (vec2 parameters) |
Calculates and returns Hessian of the third component of the current function and returns it (in the form of a mat2 struct). More... | |
Additional Inherited Members | |
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static void | Example () |
Example of use of a 2D function. More... | |
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double | a |
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override double | f1 (double u, double v) |
override double | f2 (double u, double v) |
override double | f3 (double u, double v) |
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ParametricSurface () | |
Base class for classes that define various parametric surfaces. More... | |
ParametricSurface (double minX, double maxX, double minY, double maxY) | |
Base class for classes that define various parametric surfaces. More... | |
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Func3d2dBaseNoGradient () | |
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Func3d2dBase () | |
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static void | TestFunction (IFunc2d f) |
Demonstrates use of a 2D function by printing to the console 5 values and gradients of the function on the line connecting the two points (0, 0, 0) and (1, 1, 1). More... | |
static void | TestFunction (IFunc2d f, double xmin, double xmax, double ymin, double ymax, int numPoints) |
Demonstrates use of a 2D function by printing to the console some values and gradients of the function on the line connecting the two specified points. More... | |
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double | MinX [get, set] |
Minimal value of the first parameter. More... | |
double | MaxX [get, set] |
Maximal value of the first parameter. More... | |
double | MinY [get, set] |
Minimal value of the second parameter. More... | |
double | MaxY [get, set] |
Maximal value of the second parameter. More... | |
int | NumX [get, set] |
Recommended number of points along the first parameter used to plot the surface. More... | |
int | NumY [get, set] |
Recommended number of points along the second parameter used to plot the surface. More... | |
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virtual bool | ValueDefined [get, protected set] |
Whether calculation of function value is defined. Defaulet is true. More... | |
virtual bool | GradientDefined [get, protected set] |
Whether calculation of functio ngradient is defined. Default is false. More... | |
virtual bool | HessianDefined [get, protected set] |
Whether calculation of function Hessian is defined. Default is false. More... | |
int | NumParam [get] |
Gets number of parameters. More... | |
int | NumValues [get] |
Gets number of components of the current vector function. More... | |
virtual Func2dBase | Component1 [get] |
Returns the scalar function that represents the first component of the current 3D vector function of 2 variables. More... | |
virtual Func2dBase | Component2 [get] |
Returns the scalar function that represents the second component of the current 3D vector function of 2 variables. More... | |
virtual Func2dBase | Component3 [get] |
Returns the scalar function that represents the third component of the current 3D vector function of 2 variables. More... | |
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bool | ValueDefined [get] |
Whether calculation of function value is defined. More... | |
bool | GradientDefined [get] |
Whether calculation of function ngradient is defined. More... | |
bool | HessianDefined [get] |
Whether calculation of function Hessian is defined. More... | |
Func2dBase | Component1 [get] |
Returns the scalar function that represents the first component of the current 3D vector function of 2 variables. More... | |
Func2dBase | Component2 [get] |
Returns the scalar function that represents the second component of the current 3D vector function of 2 variables. More... | |
Func2dBase | Component3 [get] |
Returns the scalar function that represents the third component of the current 3D vector function of 2 variables. More... | |
Parametric equation of an origin-centered sphere.
$A Igor Oct09;
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inline |
Constructs parametric definition of a unit sphere
in form of 3D vector function of 2 variables.
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inline |
Construct a parametric definition of an origin-centered sphere with a specified radius.
r |