Vector Class

Vector Class features breakdown:

---

Operators:

• Adding (Addition of two vectors)
• Subtracting (Subtraction of two vectors)
• Multiplication (scalar only)
• Division (scalar only)
• Negation (Negates every value inside the vector)
• Equal boolean test (==)

Special cases:

• cross (Cross product for 3D vectors only)
• reflect (reflect a 3D vector)
• refract (refract a 3D vector)

Functions:

• Clone (Returns exact copy of a vector)
• One (Returns a vector with all its components 1)
• Zero (Returns a vector with all its components 0)
• negate (Negates a vector)
• maxV (Returns the max vector between two vectors)
• maxS (Returns the max component between two vectors)
• minV (Returns the min vector between two vectors)
• minS (Returns the min component between two vectors)
• magnitude (Returns magnitude of a vector)
• clamp (Clamps a vector)
• normalize (Normalized the vector)
• dot (dot product of two vectors)
• isInSameDirection
• isInOppositeDirection
• barycentric (Get a coordinates with respect to a triangle)
• transform (matrix multiplication for transformation)

Swizzling:

This is similar to GLSL and will work with 3D or 4D vectors. Returns a 2D or 3D vector depends on the case.

• xy
• yz
• xz
• xw
• yw
• zw
• xyw
• yzw
• xzw
• xyw

Identities:

These are only for 3D vectors.

• right
• left
• front
• back
• up
• down

Examples:

It is a 1D, 2D, ... , ND Vector class. However, some functions only apply for certain dimensions only so for example a 8D vector will be limited in functionality.

Declaration of a vector:

from gem import vector

vectorA = vector.Vector(3, data=[1.0, 2.0, 3.0])
vectorB = vector.Vector(3)
vectorC = vector.Vector(3).one()
vectorD = vector.Vector(3).zero()

vectorData = [5.0, 6.0, 9.0]
vectorE = vector.Vector(3, vectorData)


# Output:
# VectorA: 1.0, 2.0, 3.0
# VectorB: 0.0, 0.0, 0.0
# VectorC: 1.0, 1.0, 1.0
# VectorD: 0.0, 0.0, 0.0
# VectorE: 5.0, 6.0, 9.0