IFEM  90A354
Public Member Functions | Protected Member Functions | Private Attributes | List of all members
LinearRotZFunc Class Reference

A scalar-valued spatial function, defining a rotation about the Z-axis. More...

#include <Functions.h>

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Public Member Functions

 LinearRotZFunc (bool retX, Real a, Real x_0=Real(0), Real y_0=Real(0))
 Constructor initializing the function parameters.
 
bool isZero () const override
 Returns whether the function is identically zero or not.
 
bool isConstant () const override
 Returns whether the function is time-independent or not.
 
Real deriv (const Vec3 &, int dir) const override
 Returns first-derivative of the function.
 
- Public Member Functions inherited from RealFunc
unsigned char getType () const override
 Returns the function type flag.
 
std::vector< RealgetValue (const Vec3 &X) const override
 Returns the function value as an array.
 
virtual Vec3 gradient (const Vec3 &X) const
 Evaluates first derivatives of the function.
 
virtual SymmTensor hessian (const Vec3 &X) const
 Evaluates second derivatives of the function.
 
Real getScalarValue (const Vec3 &X) const override
 Returns a representative scalar equivalent of the function value.
 
Real timeDerivative (const Vec3 &X) const
 Returns the time derivative of the function.
 
- Public Member Functions inherited from utl::SpatialFunction< Real >
virtual Real dderiv (const Vec3 &, int, int) const
 Returns a second-derivative of the function.
 
- Public Member Functions inherited from utl::Function< Arg, Result >
virtual ~Function ()
 Empty destructor.
 
Result operator() (const Arg &x) const
 Operator returning the function value for the given argument.
 
- Public Member Functions inherited from FunctionBase
virtual ~FunctionBase ()
 Empty destructor.
 
size_t dim () const
 Returns the number of components of the return value.
 
virtual bool initPatch (size_t)
 Sets the active patch.
 
virtual bool inDomain (const Vec3 &) const
 Checks if a specified point is within the function domain.
 
virtual void setParam (const std::string &, Real)
 Sets an additional parameter in the function.
 
void setParam (const std::string &name, const Vec3 &value)
 Sets additional parameter values in the function.
 

Protected Member Functions

Real evaluate (const Vec3 &X) const override
 Evaluates the rotation function.
 
- Protected Member Functions inherited from RealFunc
 RealFunc ()
 The constructor is protected to allow sub-class instances only.
 
- Protected Member Functions inherited from utl::SpatialFunction< Real >
 SpatialFunction (const Real &val)
 The constructor is protected to allow sub-class instances only.
 
virtual std::vector< RealevalGradient (const Vec3 &) const
 Returns the gradient of the function as a 1D array.
 
virtual std::vector< RealevalHessian (const Vec3 &) const
 Returns the hessian of the function as a 1D array.
 
virtual std::vector< RealevalTimeDerivative (const Vec3 &) const
 Returns the time derivatives of the function as a 1D array.
 
- Protected Member Functions inherited from utl::Function< Arg, Result >
 Function ()
 The constructor is protected to allow sub-class instances only.
 
virtual Result evaluate (const Arg &x) const =0
 Evaluates the function for the argument x.
 
- Protected Member Functions inherited from FunctionBase
 FunctionBase ()
 The constructor is protected to allow sub-class instances only.
 

Private Attributes

bool rX
 Flag telling whether to return the X- (true) or Y-component.
 
Real A
 Magnitude of the rotation.
 
Real x0
 Global X-coordinate of rotation centre.
 
Real y0
 Global Y-coordinate of rotation centre.
 

Additional Inherited Members

- Public Types inherited from utl::Function< Arg, Result >
typedef Arg Input
 Input type.
 
typedef Result Output
 Output type.
 
- Protected Attributes inherited from utl::SpatialFunction< Real >
Real zero
 Return value for default implementations of derivatives.
 
- Protected Attributes inherited from FunctionBase
size_t ncmp
 Number of components in the return value.
 

Detailed Description

A scalar-valued spatial function, defining a rotation about the Z-axis.

The time component of the function argument multiplied with the function parameter A, is interpreted as the angle of rotation (in radians) about the global Z-axis passing through the point x0, y0. The function then returns the translation in either X- or Y-direction (depending on the retX argument to the constructor) of the global point { X.x, X.y } corresponding to this rotation.

Note
If the function is passed a Vec3 object as argument (and not a Vec4), it will always return zero.

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