IGLib 1.4
The IGLib base library for development of numerical, technical and business applications.
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Represents scalar functions of 2 variables. More...
Public Member Functions | |
double | Value (double x, double y, double z) |
Calculates and returns value of the current 3D scalar function. | |
double | Value (vec3 parameters) |
Calculates and returns value of the current 3D scalar function. | |
void | Gradient (double x, double y, double z, out double gradx, out double grady, out double gradz) |
Calculates gradient of the current 3D scalar function and returns its components through the specified output variables. | |
vec3 | Gradient (vec3 parameters) |
Calculates and returns gradient of the current 3D scalar function. | |
void | Hessian (double x, double y, double z, out double dxx, out double dyy, out double dzz, out double dxy, out double dxz, out double dyz) |
Calculates Hessian of the current 3D scalar function and returns its component through the specified output variables. | |
mat3 | Hessian (vec3 parameters) |
Calculates and returns Hessian of the current 3D scalar function and returns it (in the form of a mat3 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. |
Represents scalar functions of 2 variables.
$A Igor Apr09;
double IG::Num::IFunc3d::Value | ( | double | x, |
double | y, | ||
double | z | ||
) |
Calculates and returns value of the current 3D scalar function.
x | First parameter. |
y | Second parameter. |
z | Third parameter. |
Implemented in IG::Num::Func3dBase, IG::Num::Func3dVectorFormBase, IG::Num::Func3dExamples::Func3dXYZ, IG::Gr3d::ExampleValueFunctionDiff3D, IG::Num::Func3dFromScalarFunction, IG::Gr3d::VtkPlotBase::Func3dZ, IG::Gr3d::VtkPlotBase::Func3dZero, and IG::Gr3d::VtkPlotBase::ExampleValueFunctionDiff21.
double IG::Num::IFunc3d::Value | ( | vec3 | parameters | ) |
Calculates and returns value of the current 3D scalar function.
Implemented in IG::Num::Func3dBase, IG::Num::Func3dVectorFormBase, IG::Num::Func3dLinear, and IG::Num::Func3dQuadratic.
void IG::Num::IFunc3d::Gradient | ( | double | x, |
double | y, | ||
double | z, | ||
out double | gradx, | ||
out double | grady, | ||
out double | gradz | ||
) |
Calculates gradient of the current 3D scalar function and returns its components through the specified output variables.
x | First parameter. |
y | Second parameter. |
z | Third parameter. |
gradx | First component of the returned gradient. |
grady | Second component of the returned gradient. |
gradz | Third component of the returned gradient. |
Implemented in IG::Num::Func3dBaseNoGradient, IG::Num::Func3dBase, IG::Num::Func3dVectorFormBase, IG::Num::Func3dExamples::Func3dXYZ, IG::Num::Func3dFromScalarFunction, IG::Gr3d::VtkPlotBase::Func3dZ, and IG::Gr3d::VtkPlotBase::Func3dZero.
Calculates and returns gradient of the current 3D scalar function.
<returnreturns>Gradient of the current 3D scalar function (in form of the vec3 struct)</returnreturns>
Implemented in IG::Num::Func3dBase, IG::Num::Func3dVectorFormBase, IG::Num::Func3dLinear, and IG::Num::Func3dQuadratic.
void IG::Num::IFunc3d::Hessian | ( | double | x, |
double | y, | ||
double | z, | ||
out double | dxx, | ||
out double | dyy, | ||
out double | dzz, | ||
out double | dxy, | ||
out double | dxz, | ||
out double | dyz | ||
) |
Calculates Hessian of the current 3D scalar function and returns its component through the specified output variables.
x | First parameter. |
y | Second parameter. |
z | Third parameter. |
dxx | Component 1-1 of the calculated Hessian. |
dyy | Component 2-2 of the calculated Hessian. |
dzz | Component 3-3 of the calculated Hessian. |
dxy | Component 1-2 of the calculated Hessian. |
dxz | Component 1-3 of the calculated Hessian. |
dyz | Component 2-3 of the calculated Hessian. |
Implemented in IG::Num::Func3dBaseNoHessian, IG::Num::Func3dBaseNoGradient, IG::Num::Func3dBase, IG::Num::Func3dVectorFormBase, and IG::Num::Func3dFromScalarFunction.
Calculates and returns Hessian of the current 3D scalar function and returns it (in the form of a mat3 struct).
Implemented in IG::Num::Func3dBase, IG::Num::Func3dVectorFormBase, IG::Num::Func3dLinear, and IG::Num::Func3dQuadratic.
bool IG::Num::IFunc3d::ValueDefined [get] |
Whether calculation of function value is defined.
Implemented in IG::Num::Func3dBase.
bool IG::Num::IFunc3d::GradientDefined [get] |
Whether calculation of function ngradient is defined.
Implemented in IG::Num::Func3dBase.
bool IG::Num::IFunc3d::HessianDefined [get] |
Whether calculation of function Hessian is defined.
Implemented in IG::Num::Func3dBase.