AUnion Class Reference

#include <AUnion.h>

Inheritance diagram for AUnion:

[legend]Collaboration diagram for AUnion:

[legend]List of all members.

Public Member Functions
	AUnion ()
	Constuctor defaults to a quadratic with radii one.
bool	indomain (double f, double g)
	Blending region is limited to f < r1, g < r2, f > 0, g > 0.
virtual double	h (double f, double g)
	Computes an elliptic union blend.
virtual double	hf (double f, double g)
	dh(f,g)/df = d f^(d-1)/r1
virtual double	hg (double f, double g)
	dh(f,g)/dg = d g^(d-1)/r2
virtual double	hff (double f, double g)
	d2h(f,g)/df2 = d(d-1) f^(d-2)/r1.
virtual double	hfg (double f, double g)
	No mixed second derivatives.
virtual double	hgg (double f, double g)
	d2h(f,g)/dg2 = d(d-1) g^(d-2)/r2
bool	indomain (Intervald f, Intervald g)
virtual Intervald	h (Intervald f, Intervald g)
virtual Intervald	hf (Intervald f, Intervald g)
virtual Intervald	hg (Intervald f, Intervald g)
virtual Intervald	hff (Intervald f, Intervald g)
virtual Intervald	hfg (Intervald f, Intervald g)
virtual Intervald	hgg (Intervald f, Intervald g)
	MAKE_NAME ()
Public Attributes
double	m_d
	Degree of blend.

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Constructor & Destructor Documentation

AUnion::AUnion (   )  [inline]

Constuctor defaults to a quadratic with radii one. Definition at line 20 of file AUnion.h. References m_d, BinaryOp::m_f, BinaryOp::m_g, Blend::m_r1, and Blend::m_r2.

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Member Function Documentation

Intervald AUnion::h (  Intervald  f, Intervald  g )  [virtual]

Reimplemented from RFunction. Definition at line 47 of file AUnion.cpp. References indomain(), Intervald, m_d, Blend::m_r1, and Blend::m_r2.

double AUnion::h (  double  f, double  g )  [virtual]

Computes an elliptic union blend. h(f,g) = -( (f - r1)^d/r1^d + (g - r2)^d/r2^d - 1). Negated such that surface is negative inside. Returns smaller of f or g if either is outside its blending radius. When f = 0 and as g approaches r2, returns zero. When g = 0 and as f approaches r1, returns zero. Reimplemented from RFunction. Definition at line 38 of file AUnion.cpp. References indomain(), m_d, Blend::m_r1, and Blend::m_r2.

Intervald AUnion::hf (  Intervald  f, Intervald  g )  [virtual]

Reimplemented from RFunction. Definition at line 68 of file AUnion.cpp. References indomain(), Intervald, m_d, and Blend::m_r1.

double AUnion::hf (  double  f, double  g )  [virtual]

dh(f,g)/df = d f^(d-1)/r1 Reimplemented from RFunction. Definition at line 60 of file AUnion.cpp. References indomain(), m_d, and Blend::m_r1.

Intervald AUnion::hff (  Intervald  f, Intervald  g )  [virtual]

Reimplemented from RFunction. Definition at line 111 of file AUnion.cpp. References indomain(), Intervald, m_d, and Blend::m_r1.

double AUnion::hff (  double  f, double  g )  [virtual]

d2h(f,g)/df2 = d(d-1) f^(d-2)/r1. m_d should be at least two. Reimplemented from RFunction. Definition at line 103 of file AUnion.cpp. References indomain(), m_d, and Blend::m_r1.

Intervald AUnion::hfg (  Intervald  f, Intervald  g )  [virtual]

Reimplemented from RFunction. Definition at line 149 of file AUnion.cpp. References Intervald.

double AUnion::hfg (  double  f, double  g )  [virtual]

No mixed second derivatives. Reimplemented from RFunction. Definition at line 144 of file AUnion.cpp.

Intervald AUnion::hg (  Intervald  f, Intervald  g )  [virtual]

Reimplemented from RFunction. Definition at line 89 of file AUnion.cpp. References indomain(), Intervald, m_d, and Blend::m_r2.

double AUnion::hg (  double  f, double  g )  [virtual]

dh(f,g)/dg = d g^(d-1)/r2 Reimplemented from RFunction. Definition at line 81 of file AUnion.cpp. References indomain(), m_d, and Blend::m_r2.

Intervald AUnion::hgg (  Intervald  f, Intervald  g )  [virtual]

Reimplemented from RFunction. Definition at line 132 of file AUnion.cpp. References indomain(), Intervald, m_d, and Blend::m_r2.

double AUnion::hgg (  double  f, double  g )  [virtual]

d2h(f,g)/dg2 = d(d-1) g^(d-2)/r2 Reimplemented from RFunction. Definition at line 124 of file AUnion.cpp. References indomain(), m_d, and Blend::m_r2.

bool AUnion::indomain (  Intervald  f, Intervald  g )

Definition at line 21 of file AUnion.cpp. References Intervald, Blend::m_r1, Blend::m_r2, and Interval< Type >::overlaps().

bool AUnion::indomain (  double  f, double  g )

Blending region is limited to f < r1, g < r2, f > 0, g > 0. Definition at line 16 of file AUnion.cpp. Referenced by h(), hf(), hff(), hg(), and hgg().

AUnion::MAKE_NAME (   )

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Member Data Documentation

double AUnion::m_d

Degree of blend. Definition at line 17 of file AUnion.h. Referenced by AUnion(), h(), hf(), hff(), hg(), and hgg().

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

• AUnion.h
• AUnion.cpp

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