MathUtils::Domain1D Struct Reference

1D parameter domain for curves. More...

#include <MathUtils_Domain.hxx>

Public Member Functions
constexpr	Domain1D ()=default
	Default constructor - creates empty domain [0, 0].
constexpr	Domain1D (double theMin, double theMax)
	Construct from bounds.
constexpr double	Length () const
	Returns the length of the domain.
constexpr double	Mid () const
	Returns the midpoint of the domain.
bool	Contains (double theU, double theTol=0.0) const
	Check if value is within domain.
double	Clamp (double theU) const
	Clamp value to domain bounds.
bool	IsLarge (double theThreshold=1000.0) const
	Check if domain is "large" (effectively unbounded for optimization). Large domains allow skipping bounds checking for performance.
bool	IsFullPeriod (double thePeriod, double theTol=1.0e-10) const
	Check if domain covers a full periodic range.
constexpr double	Lerp (double theT) const
	Interpolate within domain.
double	Normalize (double theU) const
	Normalize parameter to [0, 1] range.
bool	IsFinite (double theInfLimit=1.0e100) const
	Check if domain has finite bounds (not effectively infinite).
bool	IsEqual (const Domain1D &theOther, double theTol=1.0e-10) const
	Check if this domain equals another within tolerance.

Data Fields
double	Min = 0.0
	Lower bound of the domain.
double	Max = 0.0
	Upper bound of the domain.

Detailed Description

1D parameter domain for curves.

Represents a parameter range [Min, Max] with utility methods for:

• Bounds checking (Contains)
• Parameter clamping (Clamp)
• Domain analysis (IsLarge, IsFullPeriod)

Note

This is a lightweight value type designed for efficiency. All methods are inline and constexpr where possible.

Constructor & Destructor Documentation

Domain1D() [1/2]

constexpr MathUtils::Domain1D::Domain1D ( )

constexprdefault

Default constructor - creates empty domain [0, 0].

Domain1D() [2/2]

constexpr MathUtils::Domain1D::Domain1D ( double theMin, double theMax )

inlineconstexpr

Construct from bounds.

Parameters

theMin	lower bound
theMax	upper bound

Member Function Documentation

Clamp()

double MathUtils::Domain1D::Clamp ( double theU ) const

inline

Clamp value to domain bounds.

Parameters

theU	parameter value to clamp

Returns

clamped value in [Min, Max]

Contains()

bool MathUtils::Domain1D::Contains ( double theU, double theTol = 0.0 ) const

inline

Check if value is within domain.

Parameters

theU	parameter value to check
theTol	tolerance for boundary check

Returns

true if theU is in [Min - theTol, Max + theTol]

IsEqual()

bool MathUtils::Domain1D::IsEqual ( const Domain1D & theOther, double theTol = 1.0e-10 ) const

inline

Check if this domain equals another within tolerance.

Parameters

theOther	domain to compare with
theTol	tolerance for comparison

Returns

true if domains are equal within tolerance

IsFinite()

bool MathUtils::Domain1D::IsFinite ( double theInfLimit = 1.0e100 ) const

inline

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

Parameters

theInfLimit

threshold for "infinity" (default 1e100)

Returns

true if both Min and Max are within finite range

IsFullPeriod()

bool MathUtils::Domain1D::IsFullPeriod ( double thePeriod, double theTol = 1.0e-10 ) const

inline

Check if domain covers a full periodic range.

Parameters

thePeriod	period of the parameter (e.g., 2*PI for angles)
theTol	tolerance

Returns

true if domain covers at least one full period

IsLarge()

bool MathUtils::Domain1D::IsLarge ( double theThreshold = 1000.0 ) const

inline

Check if domain is "large" (effectively unbounded for optimization). Large domains allow skipping bounds checking for performance.

Parameters

theThreshold

size threshold (default 1000)

Returns

true if Length() > theThreshold

Length()

constexpr double MathUtils::Domain1D::Length ( ) const

inlineconstexpr

Returns the length of the domain.

Lerp()

constexpr double MathUtils::Domain1D::Lerp ( double theT ) const

inlineconstexpr

Interpolate within domain.

Parameters

theT	interpolation parameter in [0, 1]

Returns

Min + theT * Length()

Mid()

constexpr double MathUtils::Domain1D::Mid ( ) const

inlineconstexpr

Returns the midpoint of the domain.

Normalize()

double MathUtils::Domain1D::Normalize ( double theU ) const

inline

Normalize parameter to [0, 1] range.

Parameters

theU	parameter value

Returns

(theU - Min) / Length(), or 0.5 if Length() == 0

Field Documentation

Max

double MathUtils::Domain1D::Max = 0.0

Upper bound of the domain.

Min

double MathUtils::Domain1D::Min = 0.0

Lower bound of the domain.

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

• MathUtils_Domain.hxx