MathUtils::Domain2D Struct Reference

2D parameter domain for surfaces. More...

#include <MathUtils_Domain.hxx>

Public Member Functions
constexpr	Domain2D ()=default
	Default constructor - creates empty domain.
constexpr	Domain2D (double theUMin, double theUMax, double theVMin, double theVMax)
	Construct from bounds.
constexpr	Domain2D (const Domain1D &theUDomain, const Domain1D &theVDomain)
	Construct from two 1D domains.
constexpr Domain1D	U () const
	Returns the U subdomain.
constexpr Domain1D	V () const
	Returns the V subdomain.
constexpr double	ULength () const
	Returns U length.
constexpr double	VLength () const
	Returns V length.
constexpr double	UMid () const
	Returns U midpoint.
constexpr double	VMid () const
	Returns V midpoint.
bool	Contains (double theU, double theV, double theTol=0.0) const
	Check if UV point is within domain.
void	Clamp (double &theU, double &theV) const
	Clamp UV to domain bounds.
bool	IsLarge (double theThreshold=1000.0) const
	Check if both U and V domains are "large".
bool	IsUFullPeriod (double thePeriod, double theTol=1.0e-10) const
	Check if U domain covers a full period.
bool	IsVFullPeriod (double thePeriod, double theTol=1.0e-10) const
	Check if V domain covers a full period.
bool	IsFinite (double theInfLimit=1.0e100) const
	Check if domain has finite bounds (not effectively infinite).

Data Fields
double	UMin = 0.0
	Lower U bound.
double	UMax = 0.0
	Upper U bound.
double	VMin = 0.0
	Lower V bound.
double	VMax = 0.0
	Upper V bound.

Detailed Description

2D parameter domain for surfaces.

Represents a rectangular parameter domain [UMin, UMax] x [VMin, VMax] with utility methods for:

• Bounds checking (Contains)
• Parameter clamping (Clamp)
• Domain analysis (IsLarge, IsFullPeriod)
• Access to U and V subdomains

Note

This is a lightweight value type designed for efficiency.

Constructor & Destructor Documentation

Domain2D() [1/3]

constexpr MathUtils::Domain2D::Domain2D ( )

constexprdefault

Default constructor - creates empty domain.

Domain2D() [2/3]

constexpr MathUtils::Domain2D::Domain2D ( double theUMin, double theUMax, double theVMin, double theVMax )

inlineconstexpr

Construct from bounds.

Parameters

theUMin	lower U bound
theUMax	upper U bound
theVMin	lower V bound
theVMax	upper V bound

Domain2D() [3/3]

constexpr MathUtils::Domain2D::Domain2D ( const Domain1D & theUDomain, const Domain1D & theVDomain )

inlineconstexpr

Construct from two 1D domains.

Parameters

theUDomain	U parameter domain
theVDomain	V parameter domain

Member Function Documentation

Clamp()

void MathUtils::Domain2D::Clamp ( double & theU, double & theV ) const

inline

Clamp UV to domain bounds.

Parameters

theU	U parameter (modified in place)
theV	V parameter (modified in place)

Contains()

bool MathUtils::Domain2D::Contains ( double theU, double theV, double theTol = 0.0 ) const

inline

Check if UV point is within domain.

Parameters

theU	U parameter
theV	V parameter
theTol	tolerance for boundary check

Returns

true if (theU, theV) is in domain

IsFinite()

bool MathUtils::Domain2D::IsFinite ( double theInfLimit = 1.0e100 ) const

inline

Check if domain has finite bounds (not effectively infinite).

Parameters

theInfLimit

threshold for "infinity" (default 1e100)

IsLarge()

bool MathUtils::Domain2D::IsLarge ( double theThreshold = 1000.0 ) const

inline

Check if both U and V domains are "large".

Parameters

theThreshold

size threshold (default 1000)

Returns

true if both U and V lengths exceed threshold

IsUFullPeriod()

bool MathUtils::Domain2D::IsUFullPeriod ( double thePeriod, double theTol = 1.0e-10 ) const

inline

Check if U domain covers a full period.

Parameters

thePeriod	period of U parameter
theTol	tolerance

IsVFullPeriod()

bool MathUtils::Domain2D::IsVFullPeriod ( double thePeriod, double theTol = 1.0e-10 ) const

inline

Check if V domain covers a full period.

Parameters

thePeriod	period of V parameter
theTol	tolerance

U()

constexpr Domain1D MathUtils::Domain2D::U ( ) const

inlineconstexpr

Returns the U subdomain.

ULength()

constexpr double MathUtils::Domain2D::ULength ( ) const

inlineconstexpr

Returns U length.

UMid()

constexpr double MathUtils::Domain2D::UMid ( ) const

inlineconstexpr

Returns U midpoint.

V()

constexpr Domain1D MathUtils::Domain2D::V ( ) const

inlineconstexpr

Returns the V subdomain.

VLength()

constexpr double MathUtils::Domain2D::VLength ( ) const

inlineconstexpr

Returns V length.

VMid()

constexpr double MathUtils::Domain2D::VMid ( ) const

inlineconstexpr

Returns V midpoint.

Field Documentation

UMax

double MathUtils::Domain2D::UMax = 0.0

Upper U bound.

UMin

double MathUtils::Domain2D::UMin = 0.0

Lower U bound.

VMax

double MathUtils::Domain2D::VMax = 0.0

Upper V bound.

VMin

double MathUtils::Domain2D::VMin = 0.0

Lower V bound.

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The documentation for this struct was generated from the following file:

• MathUtils_Domain.hxx