v1.1.0

Add the Matrix3x3 class.

Change Log

• Add the Matrix3x3 class
• Perform refactoring:
  • Support multiplication by the Matrix3x3 in the Vector2D class

Features

• Classes:
  • Vector2D:
    • Constants:
      • ZERO — (0, 0)
      • BASIS_X — (1, 0)
      • BASIS_Y — (0, 1)
    • Operations:
      • equals(other) — check exact equality
      • almost_equals(other, [epsilon]) — check approximate equality within a given epsilon
      • length_squared() — compute the squared length
      • length() — compute the length
      • normalized() — return the normalized vector
      • add(other) — add another vector
      • sub(other) — subtract another vector
      • mul(value) — multiply by a scalar, matrix, or perform component-wise multiplication with another vector
      • neg() — unary minus
      • dot(other) — compute the dot product
      • div(value) — divide by a scalar or perform component-wise division by another vector
    • Operators (via metamethods):
      • == — check exact equality (__eq())
      • #vector — compute the length (__len()); supported only since Lua 5.2
      • + — add two vectors (__add())
      • - — subtract two vectors (__sub())
      • * — multiply by a scalar (vector * scalar or scalar * vector), matrix (vector * matrix or matrix * vector), or perform component-wise multiplication (vector * vector) (__mul())
      • -vector — unary minus (__unm())
      • / — divide by a scalar (vector / scalar) or perform component-wise division (vector / vector) (__div())
  • Matrix3x3:
    • Constants:
      • ZERO — zero matrix
      • IDENTITY — identity matrix
    • Operations:
      • equals(other) — check exact equality
      • almost_equals(other, [epsilon]) — check approximate equality within a given epsilon
      • add(other) — add another matrix
      • sub(other) — subtract another matrix
      • mul(value) — multiply by a scalar, vector, or another matrix
      • div(value) — divide by a scalar
    • Operators (via metamethods):
      • == — check exact equality (__eq())
      • + — add two matrices (__add())
      • - — subtract two matrices (__sub())
      • * — multiply by a scalar (matrix * scalar or scalar * matrix), vector (matrix * vector or vector * matrix), or another matrix (matrix * matrix) (__mul())
      • / — divide by a scalar (matrix / scalar) (__div())
    • Transformation matrix factories:
      • translate(delta_x, delta_y) — translation
      • rotate(angle) — rotation
      • scale(scale_x, scale_y) — scaling
      • shear(shear_x, shear_y) — shear