Template specialization to initialize a vector. Example: Vec3 v0=Vec3(ZERO); Vec3 v1=Vec3(MIN); Vec3 v2=Vec3(MAX);

Constructors and bracket-operator to initialize a vector. Example: Vec3 v0=Vec3(1,2,3); Vec3 v1(1,2,3); v2.Set(1,2,3);

Returns

A vector that consists of absolute values of this one's coordinates.

Overloaded arithmetic operator. Example: Vec3 v0=v1*4;

Returns

A vector orthogonal to this one.

Rotate a vector using angle and axis. Example: Vec3 r=v.GetRotated(axis,angle);

Rotate a vector around a center using angle and axis. Example: Vec3 r=v.GetRotated(axis,angle);

Returns

Volume of a box with this vector as diagonal.

Normalize the vector. Check for null vector - set to the passed in vector (which should be normalised!) if it is null vector.

Returns

The original length of the vector.

Cubic-Interpolation between vectors v0,v1,v2,v3. This is repeated linear interpolation from 4 points. If t is in the range [0...1], then the curve goes only through v0 and v3. Example: Vec3 ip; ip.SetCubicCurve( v0,v1,v2,v3, 0.345f );

Linear-Interpolation between Vec3 (lerp). Example: Vec3 r=Vec3::CreateLerp( p, q, 0.345f );

sets a vector orthogonal to the input vector

Example: Vec3 v; v.SetOrthogonal( i );

Project a point/vector on a (virtual) plane. Consider we have a plane going through the origin. Because d=0 we need just the normal. The vector n is assumed to be a unit-vector. Example: Vec3 result=Vec3::CreateProjection( incident, normal );

Quadratic-Interpolation between vectors v0,v1,v2. This is repeated linear interpolation from 3 points and the resulting curve is a parabola. If t is in the range [0...1], then the curve goes only through v0 and v2. Example: Vec3 ip; ip.SetQuadraticCurve( v0,v1,v2, 0.345f );

Spline-Interpolation between vectors v0,v1,v2. This is a variation of a quadratic curve. If t is in the range [0...1], then the spline goes through all 3 points. Example: Vec3 ip; ip.SetSplineInterpolation( v0,v1,v2, 0.345f );

Calculate a reflection vector. Vec3 n is assumed to be a unit-vector. Example: Vec3 result=Vec3::CreateReflection( incident, normal );

Spherical-Interpolation between 3d-vectors (geometrical slerp) both vectors are assumed to be normalized. Example: Vec3 r=Vec3::CreateSlerp( p, q, 0.5674f );