Vec3 Class Reference

Simple class for representing a point in 3D space. More...

#include <Vec3.h>

Inheritance diagram for Vec3:

Public Member Functions
	Vec3 ()
	Default constructor creating a point at origin.
	Vec3 (Real X, Real Y, Real Z=Real(0))
	Constructor creating a point at the specified location.
	Vec3 (const Real *pos, size_t n=3)
	Constructor creating a point at the specified location.
	Vec3 (const std::vector< Real > &X)
	Constructor creating a point from the given std::vector.
	Vec3 (const Vec3 &X)
	Copy constructor.
	Vec3 (const Vec3 &X, const Vec3 &Y)
	Constructor creating a cross product of two other vectors.
virtual	~Vec3 ()
	Empty destructor.
Vec3 &	operator= (const Vec3 &X)
	Assignment operator.
Vec3 &	operator= (Real val)
	Overloaded assignment operator.
const Real &	operator() (int i) const
	Indexing operator for component reference (1-based).
const Real &	operator[] (int i) const
	Indexing operator for component reference (0-based).
Real &	operator() (int i)
	Indexing operator for component assignment (1-based).
Real &	operator[] (int i)
	Indexing operator for component assignment (0-based).
const Real *	ptr () const
	Reference through a pointer.
std::vector< Real >	vec (size_t n=3) const
	Conversion to std::vector.
Vec3 &	operator*= (Real c)
	Multiplication with a scalar.
Vec3 &	operator/= (Real d)
	Division by a scalar.
Vec3 &	operator+= (const Vec3 &X)
	Add the given vector X to *this.
Vec3 &	operator-= (const Vec3 &X)
	Subtract the given vector X from *this.
Vec3	operator- () const
	Negation operator.
Real	sum () const
	Return the sum of the vector components.
Real	asum () const
	Return the sum of absolute values of the vector components.
Real	length2 () const
	Return the square of the length of the vector.
double	length () const
	Return the length of the vector.
Real	normalize (double tol=1.0e-16)
	Normalize the vector and return its length.
Vec3 &	cross (const Vec3 &a, const Vec3 &b)
	Cross product between two vectors.
bool	equal (const Vec3 &a, double tol=1.0e-6) const
	Equality check between two vectors.
bool	isZero (double tol=1.0e-6) const
	Check if the vector is zero with the given tolerance.
bool	lessThan (const Vec3 &a, double tol=1.0e-6) const
	Check if one vector is less than the other.
bool	inside (const Vec3 &a, const Vec3 &b, double tol=1.0e-6) const
	Check if a vector is inside the box defined by two other vectors.
virtual std::ostream &	print (std::ostream &os, double tol=1.0e-12) const
	Print out a vector.

Public Attributes
Real &	x
	Reference to X-component.
Real &	y
	Reference to Y-component.
Real &	z
	Reference to Z-component.

Static Public Attributes
static double	comparisonTolerance = 1.0e-4
	Coordinate comparison tolerance.

Private Attributes
Real	v [3]
	The actual point vector.

Detailed Description

Simple class for representing a point in 3D space.

Member Function Documentation

lessThan()

bool Vec3::lessThan ( const Vec3 &  a, double  tol = 1.0e-6  ) const

inline

Check if one vector is less than the other.

First we compare the z-coordinates. Only if the z-coordinates are equal, we compare the y-coordinates, and if they are equal too, we finally compare the x-coordinates.

References v.

Referenced by operator<().

print()

virtual std::ostream & Vec3::print ( std::ostream &  os, double  tol = 1.0e-12  ) const

inlinevirtual

Print out a vector.

Reimplemented in Vec4.

References x, y, and z.

Referenced by operator<<(), and Vec4::print().

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

• /home/runner/work/IFEM-2/IFEM-2/src/Utility/Vec3.h
• /home/runner/work/IFEM-2/IFEM-2/src/Utility/Vec3Oper.C