Surface Class Reference

Parametrized surface in four-space defined by . More...

#include <Surface.h>

Inheritance diagram for Surface:

Collaboration diagram for Surface:

List of all members.

Classes
struct	Impl
Public Types
typedef VecMath::Vector< 4 > &	function_type (double, double)
typedef VecMath::Vector< 4 >	raw_function_type (double, double)
	the real, raw type of the function used to generate values
Public Member Functions
	Surface ()
	Surface default c'tor, zeroes everything.
	Surface (double umin, double umax, double du, double vmin, double vmax, double dv, ParameterMap parms=ParameterMap())
virtual void	ReInit (double _tmin, double _tmax, double _dt, double _umin, double _umax, double _du, double _vmin, double _vmax, double _dv)
	re-initialize a Surface if the definition set has changed
VecMath::Vector< 4 > &	operator() (double u, double v, double=0)
	Function evaluation operator for three parameters.
virtual unsigned	getNumParameters ()
Protected Member Functions
virtual VecMath::MultiDimensionalVector < VecMath::Vector< 4 >, 1 >	df (double, double)
void	Initialize (void)
	allocate and initialize X[][] with values of f()
Protected Attributes
virtual function_type	normal
	calculate normal to function at a given point in definition set
std::shared_ptr < ParametricFunction< 4, 2 > >	_function
	Pointer to the actual ParametricFunction doing all the work.
Private Attributes
Impl *	pImpl_

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Detailed Description

Parametrized surface in four-space defined by .

Author:

Lene Preuss <lene.preuss@gmail.com>

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Member Typedef Documentation

typedef VecMath::Vector<4>& Surface::function_type(double, double)

type of the function used to generate values, optimized with a reference as return value

Reimplemented from FunctionHolder< 4, 2, double >.

Reimplemented in ComplexFunction.

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Constructor & Destructor Documentation

Surface::Surface	(	double	umin,
		double	umax,
		double	du,
		double	vmin,
		double	vmax,
		double	dv,
		ParameterMap	parms = ParameterMap()
	)

Surface c'tor given a definition set in (as parameter space)

Parameters:

umin	minimal value in u
umax	maximal value in u
du	stepsize in u
vmin	minimal value in v
vmax	maximal value in v
dv	stepsize in v
parms	Parameter for the function

References DepthCueUtil::calibrateColorForSurface(), VertexHolder< N, P, double >::setColorCalibrationFunction(), and this.

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Member Function Documentation

VecMath::MultiDimensionalVector< VecMath::Vector< 4 >, 1 > Surface::df	(	double	uu,
		double	vv
	)		[protected, virtual]

numerical calculation of the derivatives in u and v:

Parameters:

uu	u value
vv	v value

Returns:

gradient in t, u and v as array

References operator()().

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unsigned int Surface::getNumParameters

(

)

[virtual]

Returns:

number of parameters for the function

Reimplemented from FunctionHolder< 4, 2, double >.

void Surface::Initialize

(

void

)

[protected, virtual]

allocate and initialize X[][] with values of f()

call InitMem () above

Reimplemented from FunctionHolder< 4, 2, double >.

References _function, VertexHolder< N, P, double >::calibrateColors(), max(), min(), and VertexHolder< N, P, double >::setX().

Referenced by coshz::coshz(), cosz::cosz(), CustomComplexFunction::CustomComplexFunction(), CustomSurface::CustomSurface(), emz2::emz2(), ez::ez(), Horizon::Horizon(), lnz::lnz(), Polynomial::Polynomial(), ReInit(), sinhz::sinhz(), sinz::sinz(), sqrtz::sqrtz(), Surface1::Surface1(), tanz::tanz(), Torus3::Torus3(), z2::z2(), z3::z3(), zA::zA(), zm1::zm1(), and zm2::zm2().

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Vector< 4 > & Surface::operator()	(	double	u,
		double	v,
		double	= 0
	)		[virtual]

Function evaluation operator for three parameters.

Parameters:

u	first argument, e.g. y or u
v	second argument, e.g. z or v

Returns:

f(t, u, v)

Reimplemented from Displayable.

References _function.

Referenced by df().

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Member Data Documentation

Vector< 4 > & Surface::normal [protected]

calculate normal to function at a given point in definition set

no further assumption is made than that f () is continuous

this function is not yet used anywhere, but i like it

Parameters:

uu	u value
vv	v value

Returns:

surface normal, normalized

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

• HyperspaceExplorer/src/Displayable/Surface/Surface.h
• HyperspaceExplorer/src/Displayable/Surface/Surface.C