Definition of parametric surface that ressembles a snail's shell (a bit stretched along the axis) in form of 3D vector function of 2 variables.
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| SnailShell1Streched () |
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void | SetBounds (double minX, double maxX, double minY, double maxY) |
| Sets the bounds. More...
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void | SetNumPoints (int numX, int numY) |
| Sets recommended number of plot points along parameter curves. More...
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override double | Value1 (double x, double y) |
| Calculates and returns value of the first component of the current function. More...
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override double | Value2 (double x, double y) |
| Calculates and returns value of the second component of the current function. More...
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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...
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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...
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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...
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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...
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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...
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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...
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virtual double | Value2 (vec2 parameters) |
| Calculates and returns value of the second component of the current function. More...
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virtual double | Value3 (vec2 parameters) |
| Calculates and returns value of the third component of the current function. More...
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virtual vec2 | Gradient1 (vec2 parameters) |
| Calculates and returns gradient of the first component of the current function. More...
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virtual vec2 | Gradient2 (vec2 parameters) |
| Calculates and returns gradient of the second component of the current function. More...
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virtual vec2 | Gradient3 (vec2 parameters) |
| Calculates and returns gradient of the third component of the current function. More...
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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...
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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...
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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...
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static void | Example () |
| Example of use of a 2D function. More...
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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...
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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...
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double | MaxX [get, set] |
| Maximal value of the first parameter. More...
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double | MinY [get, set] |
| Minimal value of the second parameter. More...
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double | MaxY [get, set] |
| Maximal value of the second parameter. More...
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int | NumX [get, set] |
| Recommended number of points along the first parameter used to plot the surface. More...
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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...
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virtual bool | GradientDefined [get, protected set] |
| Whether calculation of functio ngradient is defined. Default is false. More...
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virtual bool | HessianDefined [get, protected set] |
| Whether calculation of function Hessian is defined. Default is false. More...
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int | NumParam [get] |
| Gets number of parameters. More...
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int | NumValues [get] |
| Gets number of components of the current vector function. More...
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virtual Func2dBase | Component1 [get] |
| Returns the scalar function that represents the first component of the current 3D vector function of 2 variables. More...
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virtual Func2dBase | Component2 [get] |
| Returns the scalar function that represents the second component of the current 3D vector function of 2 variables. More...
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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...
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bool | GradientDefined [get] |
| Whether calculation of function ngradient is defined. More...
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bool | HessianDefined [get] |
| Whether calculation of function Hessian is defined. More...
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Func2dBase | Component1 [get] |
| Returns the scalar function that represents the first component of the current 3D vector function of 2 variables. More...
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Func2dBase | Component2 [get] |
| Returns the scalar function that represents the second component of the current 3D vector function of 2 variables. More...
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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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Definition of parametric surface that ressembles a snail's shell (a bit stretched along the axis) in form of 3D vector function of 2 variables.
Precise parameterization is taken from the Mathematica notebook ParametricSurfaces.nb.
$A Igor Nov09;