IGLib 1.4
The IGLib base library for development of numerical, technical and business applications.
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Represents 3D vector functions of 2 variables. More...
Public Member Functions | |
double | Value1 (double x, double y) |
Calculates and returns value of the first component of the current function. | |
double | Value2 (double x, double y) |
Calculates and returns value of the second component of the current function. | |
double | Value3 (double x, double y) |
Calculates and returns value of the third component of the current function. | |
double | Value1 (vec2 parameters) |
Calculates and returns value of the first component of the current function. | |
double | Value2 (vec2 parameters) |
Calculates and returns value of the second component of the current function. | |
double | Value3 (vec2 parameters) |
Calculates and returns value of the third component of the current function. | |
void | Gradient1 (double x, double y, out double gradx, out double grady) |
Calculates gradient of the first component of the current function and returns its components through the specified output variables. | |
void | Gradient2 (double x, double y, out double gradx, out double grady) |
Calculates gradient of the second component of the current function and returns its components through the specified output variables. | |
void | Gradient3 (double x, double y, out double gradx, out double grady) |
Calculates gradient of the third component of the current function and returns its components through the specified output variables. | |
vec2 | Gradient1 (vec2 parameters) |
Calculates and returns gradient of the first component of the current function. | |
vec2 | Gradient2 (vec2 parameters) |
Calculates and returns gradient of the second component of the current function. | |
vec2 | Gradient3 (vec2 parameters) |
Calculates and returns gradient of the third component of the current function. | |
void | Hessian1 (double x, double y, out double dxx, out double dyy, out double dxy) |
Calculates Hessian of the first component of the current function and returns its component through the specified output variables. | |
void | Hessian2 (double x, double y, out double dxx, out double dyy, out double dxy) |
Calculates Hessian of the second component of the current function and returns its component through the specified output variables. | |
void | Hessian3 (double x, double y, out double dxx, out double dyy, out double dxy) |
Calculates Hessian of the third component of the current function and returns its component through the specified output variables. | |
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). | |
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). | |
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). | |
Properties | |
bool | ValueDefined [get] |
Whether calculation of function value is defined. | |
bool | GradientDefined [get] |
Whether calculation of function ngradient is defined. | |
bool | HessianDefined [get] |
Whether calculation of function Hessian is defined. | |
Func2dBase | Component1 [get] |
Returns the scalar function that represents the first component of the current 3D vector function of 2 variables. | |
Func2dBase | Component2 [get] |
Returns the scalar function that represents the second component of the current 3D vector function of 2 variables. | |
Func2dBase | Component3 [get] |
Returns the scalar function that represents the third component of the current 3D vector function of 2 variables. |
Represents 3D vector functions of 2 variables.
$A Igor Oct09;
double IG::Num::IFunc3d2d::Value1 | ( | double | x, |
double | y | ||
) |
Calculates and returns value of the first component of the current function.
x | First parameter. |
y | Second parameter. |
Implemented in IG::Num::Func3d2dBase, and IG::Num::Func3d2dExamples::ParametricSurface.
double IG::Num::IFunc3d2d::Value2 | ( | double | x, |
double | y | ||
) |
Calculates and returns value of the second component of the current function.
x | First parameter. |
y | Second parameter. |
Implemented in IG::Num::Func3d2dBase, and IG::Num::Func3d2dExamples::ParametricSurface.
double IG::Num::IFunc3d2d::Value3 | ( | double | x, |
double | y | ||
) |
Calculates and returns value of the third component of the current function.
x | First parameter. |
y | Second parameter. |
Implemented in IG::Num::Func3d2dBase, and IG::Num::Func3d2dExamples::ParametricSurface.
double IG::Num::IFunc3d2d::Value1 | ( | vec2 | parameters | ) |
Calculates and returns value of the first component of the current function.
parameters | Vector of function parameters (in form of the Value) struct. |
Implemented in IG::Num::Func3d2dBase.
double IG::Num::IFunc3d2d::Value2 | ( | vec2 | parameters | ) |
Calculates and returns value of the second component of the current function.
parameters | Vector of function parameters (in form of the Value) struct. |
Implemented in IG::Num::Func3d2dBase.
double IG::Num::IFunc3d2d::Value3 | ( | vec2 | parameters | ) |
Calculates and returns value of the third component of the current function.
parameters | Vector of function parameters (in form of the Value) struct. |
Implemented in IG::Num::Func3d2dBase.
void IG::Num::IFunc3d2d::Gradient1 | ( | double | x, |
double | y, | ||
out double | gradx, | ||
out double | grady | ||
) |
Calculates gradient of the first component of the current function and returns its components through the specified output variables.
x | First parameter. |
y | Second parameter. |
gradx | First component of the returned gradient. |
grady | Second component of the returned gradient. |
Implemented in IG::Num::Func3d2dBaseNoGradient, and IG::Num::Func3d2dBase.
void IG::Num::IFunc3d2d::Gradient2 | ( | double | x, |
double | y, | ||
out double | gradx, | ||
out double | grady | ||
) |
Calculates gradient of the second component of the current function and returns its components through the specified output variables.
x | First parameter. |
y | Second parameter. |
gradx | First component of the returned gradient. |
grady | Second component of the returned gradient. |
Implemented in IG::Num::Func3d2dBaseNoGradient, and IG::Num::Func3d2dBase.
void IG::Num::IFunc3d2d::Gradient3 | ( | double | x, |
double | y, | ||
out double | gradx, | ||
out double | grady | ||
) |
Calculates gradient of the third component of the current function and returns its components through the specified output variables.
x | First parameter. |
y | Second parameter. |
gradx | First component of the returned gradient. |
grady | Second component of the returned gradient. |
Implemented in IG::Num::Func3d2dBaseNoGradient, and IG::Num::Func3d2dBase.
Calculates and returns gradient of the first component of the current function.
<returnreturns>Gradient of the current 2D scalar function (in form of the vec2 struct)</returnreturns>
Implemented in IG::Num::Func3d2dBase.
Calculates and returns gradient of the second component of the current function.
<returnreturns>Gradient of the current 2D scalar function (in form of the vec2 struct)</returnreturns>
Implemented in IG::Num::Func3d2dBase.
Calculates and returns gradient of the third component of the current function.
<returnreturns>Gradient of the current 2D scalar function (in form of the vec2 struct)</returnreturns>
Implemented in IG::Num::Func3d2dBase.
void IG::Num::IFunc3d2d::Hessian1 | ( | double | x, |
double | y, | ||
out double | dxx, | ||
out double | dyy, | ||
out double | dxy | ||
) |
Calculates Hessian of the first component of the current function and returns its component through the specified output variables.
x | First parameter. |
y | Second parameter. |
dxx | Component 1-1 of the calculated Hessian. |
dyy | Component 2-2 of the calculated Hessian. |
dxy | Component 1-2 of the calculated Hessian. |
Implemented in IG::Num::Func3d2dBaseNoHessian, IG::Num::Func3d2dBaseNoGradient, and IG::Num::Func3d2dBase.
void IG::Num::IFunc3d2d::Hessian2 | ( | double | x, |
double | y, | ||
out double | dxx, | ||
out double | dyy, | ||
out double | dxy | ||
) |
Calculates Hessian of the second component of the current function and returns its component through the specified output variables.
x | First parameter. |
y | Second parameter. |
dxx | Component 1-1 of the calculated Hessian. |
dyy | Component 2-2 of the calculated Hessian. |
dxy | Component 1-2 of the calculated Hessian. |
Implemented in IG::Num::Func3d2dBaseNoHessian, IG::Num::Func3d2dBaseNoGradient, and IG::Num::Func3d2dBase.
void IG::Num::IFunc3d2d::Hessian3 | ( | double | x, |
double | y, | ||
out double | dxx, | ||
out double | dyy, | ||
out double | dxy | ||
) |
Calculates Hessian of the third component of the current function and returns its component through the specified output variables.
x | First parameter. |
y | Second parameter. |
dxx | Component 1-1 of the calculated Hessian. |
dyy | Component 2-2 of the calculated Hessian. |
dxy | Component 1-2 of the calculated Hessian. |
Implemented in IG::Num::Func3d2dBaseNoHessian, IG::Num::Func3d2dBaseNoGradient, and IG::Num::Func3d2dBase.
Calculates and returns Hessian of the first component of the current function and returns it (in the form of a mat2 struct).
Implemented in IG::Num::Func3d2dBase.
Calculates and returns Hessian of the second component of the current function and returns it (in the form of a mat2 struct).
Implemented in IG::Num::Func3d2dBase.
Calculates and returns Hessian of the third component of the current function and returns it (in the form of a mat2 struct).
Implemented in IG::Num::Func3d2dBase.
bool IG::Num::IFunc3d2d::ValueDefined [get] |
Whether calculation of function value is defined.
Implemented in IG::Num::Func3d2dBase.
bool IG::Num::IFunc3d2d::GradientDefined [get] |
Whether calculation of function ngradient is defined.
Implemented in IG::Num::Func3d2dBase.
bool IG::Num::IFunc3d2d::HessianDefined [get] |
Whether calculation of function Hessian is defined.
Implemented in IG::Num::Func3d2dBase.
Func2dBase IG::Num::IFunc3d2d::Component1 [get] |
Returns the scalar function that represents the first component of the current 3D vector function of 2 variables.
Implemented in IG::Num::Func3d2dBase.
Func2dBase IG::Num::IFunc3d2d::Component2 [get] |
Returns the scalar function that represents the second component of the current 3D vector function of 2 variables.
Implemented in IG::Num::Func3d2dBase.
Func2dBase IG::Num::IFunc3d2d::Component3 [get] |
Returns the scalar function that represents the third component of the current 3D vector function of 2 variables.
Implemented in IG::Num::Func3d2dBase.