Module: Bayonetta::Linalg

Defined in:
lib/bayonetta/linalg.rb

Defined Under Namespace

Classes: Matrix, Vector

Class Method Summary collapse

Class Method Details

.get_inverse_rotation_matrix(*args, center: nil, order: nil) ⇒ Object 



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# File 'lib/bayonetta/linalg.rb', line 324

def self.get_inverse_rotation_matrix(*args, center: nil, order: nil)
  v = get_rotation_vector(*args)
  if center
    vt = get_translation_vector(*[center].flatten)
    mt1 = get_translation_matrix(-vt)
    mt2 = get_translation_matrix(vt)
  else
    mt1 = get_unit_matrix
    mt2 = get_unit_matrix
  end
  m = mt2
  if order
    case order
    when 0
      m = m * rotation_matrix( -v[2], Vector::new(0.0, 0.0, 1.0))
      m = m * rotation_matrix( -v[1], Vector::new(0.0, 1.0, 0.0))
      m = m * rotation_matrix( -v[0], Vector::new(1.0, 0.0, 0.0))
    when 1
      m = m * rotation_matrix( -v[1], Vector::new(0.0, 1.0, 0.0))
      m = m * rotation_matrix( -v[2], Vector::new(0.0, 0.0, 1.0))
      m = m * rotation_matrix( -v[0], Vector::new(1.0, 0.0, 0.0))
    when 2
      m = m * rotation_matrix( -v[2], Vector::new(0.0, 0.0, 1.0))
      m = m * rotation_matrix( -v[0], Vector::new(1.0, 0.0, 0.0))
      m = m * rotation_matrix( -v[1], Vector::new(0.0, 1.0, 0.0))
    when 3
      m = m * rotation_matrix( -v[0], Vector::new(1.0, 0.0, 0.0))
      m = m * rotation_matrix( -v[2], Vector::new(0.0, 0.0, 1.0))
      m = m * rotation_matrix( -v[1], Vector::new(0.0, 1.0, 0.0))
    when 4
      m = m * rotation_matrix( -v[1], Vector::new(0.0, 1.0, 0.0))
      m = m * rotation_matrix( -v[0], Vector::new(1.0, 0.0, 0.0))
      m = m * rotation_matrix( -v[2], Vector::new(0.0, 0.0, 1.0))
    else
      m = m * rotation_matrix( -v[0], Vector::new(1.0, 0.0, 0.0))
      m = m * rotation_matrix( -v[1], Vector::new(0.0, 1.0, 0.0))
      m = m * rotation_matrix( -v[2], Vector::new(0.0, 0.0, 1.0))
    end
  else
    m = m * rotation_matrix( -v[0], Vector::new(1.0, 0.0, 0.0))
    m = m * rotation_matrix( -v[1], Vector::new(0.0, 1.0, 0.0))
    m = m * rotation_matrix( -v[2], Vector::new(0.0, 0.0, 1.0))
  end
  m = m * mt1
  m
end

.get_inverse_scaling_matrix(*args) ⇒ Object 



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# File 'lib/bayonetta/linalg.rb', line 257

def self.get_inverse_scaling_matrix(*args)
  m = get_unit_matrix
  v = get_scaling_vector(*args)
  m.data[0][0] = 1.0/v[0]
  m.data[1][1] = 1.0/v[1]
  m.data[2][2] = 1.0/v[2]
  m
end

.get_inverse_transformation_matrix(translate, rotate, scale, parent_scale, order: nil) ⇒ Object 



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# File 'lib/bayonetta/linalg.rb', line 386

def self.get_inverse_transformation_matrix(translate, rotate, scale, parent_scale, order: nil)
  get_inverse_scaling_matrix(scale) *
  get_inverse_rotation_matrix(rotate, order: order) *
  get_scaling_matrix(parent_scale) *
  get_inverse_translation_matrix(translate)
end

.get_inverse_translation_matrix(*args) ⇒ Object 



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# File 'lib/bayonetta/linalg.rb', line 228

def self.get_inverse_translation_matrix(*args)
  m = get_unit_matrix
  v = get_translation_vector(*args)
  m.data[0][3] = -v[0]
  m.data[1][3] = -v[1]
  m.data[2][3] = -v[2]
  m
end

.get_rotation_matrix(*args, center: nil, order: nil) ⇒ Object 



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# File 'lib/bayonetta/linalg.rb', line 277

def self.get_rotation_matrix(*args, center: nil, order: nil)
  v = get_rotation_vector(*args)
  if center
    vt = get_translation_vector(*[center].flatten)
    mt1 = get_translation_matrix(-vt)
    mt2 = get_translation_matrix(vt)
  else
    mt1 = get_unit_matrix
    mt2 = get_unit_matrix
  end
  m = mt2
  if order
    case order
    when 0
      m = m * rotation_matrix( v[0], Vector::new(1.0, 0.0, 0.0))
      m = m * rotation_matrix( v[1], Vector::new(0.0, 1.0, 0.0))
      m = m * rotation_matrix( v[2], Vector::new(0.0, 0.0, 1.0))
    when 1
      m = m * rotation_matrix( v[0], Vector::new(1.0, 0.0, 0.0))
      m = m * rotation_matrix( v[2], Vector::new(0.0, 0.0, 1.0))
      m = m * rotation_matrix( v[1], Vector::new(0.0, 1.0, 0.0))
    when 2
      m = m * rotation_matrix( v[1], Vector::new(0.0, 1.0, 0.0))
      m = m * rotation_matrix( v[0], Vector::new(1.0, 0.0, 0.0))
      m = m * rotation_matrix( v[2], Vector::new(0.0, 0.0, 1.0))
    when 3
      m = m * rotation_matrix( v[1], Vector::new(0.0, 1.0, 0.0))
      m = m * rotation_matrix( v[2], Vector::new(0.0, 0.0, 1.0))
      m = m * rotation_matrix( v[0], Vector::new(1.0, 0.0, 0.0))
    when 4
      m = m * rotation_matrix( v[2], Vector::new(0.0, 0.0, 1.0))
      m = m * rotation_matrix( v[0], Vector::new(1.0, 0.0, 0.0))
      m = m * rotation_matrix( v[1], Vector::new(0.0, 1.0, 0.0))
    else
      m = m * rotation_matrix( v[2], Vector::new(0.0, 0.0, 1.0))
      m = m * rotation_matrix( v[1], Vector::new(0.0, 1.0, 0.0))
      m = m * rotation_matrix( v[0], Vector::new(1.0, 0.0, 0.0))
    end
  else
    m = m * rotation_matrix( v[2], Vector::new(0.0, 0.0, 1.0))
    m = m * rotation_matrix( v[1], Vector::new(0.0, 1.0, 0.0))
    m = m * rotation_matrix( v[0], Vector::new(1.0, 0.0, 0.0))
  end
  m = m * mt1
  m
end

.get_rotation_vector(*args) ⇒ Object 



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# File 'lib/bayonetta/linalg.rb', line 266

def self.get_rotation_vector(*args)
  if args.length == 1
    v = args.first.dup
  elsif args.length == 3
    v = Vector::new(*args)
  else
    raise "Invalid translation arguments: #{args.inspect}!"
  end
  v
end

.get_scaling_matrix(*args) ⇒ Object 



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# File 'lib/bayonetta/linalg.rb', line 248

def self.get_scaling_matrix(*args)
  m = get_unit_matrix
  v = get_scaling_vector(*args)
  m.data[0][0] = v[0]
  m.data[1][1] = v[1]
  m.data[2][2] = v[2]
  m
end

.get_scaling_vector(*args) ⇒ Object 



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# File 'lib/bayonetta/linalg.rb', line 237

def self.get_scaling_vector(*args)
  if args.length == 1
    v = args.first.dup
  elsif args.length == 3
    v = Vector::new(*args)
  else
    raise "Invalid translation arguments: #{args.inspect}!"
  end
  v
end

.get_transformation_matrix(translate, rotate, scale, parent_scale, order: nil) ⇒ Object 



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# File 'lib/bayonetta/linalg.rb', line 379

def self.get_transformation_matrix(translate, rotate, scale, parent_scale, order: nil)
  get_translation_matrix(translate) *
  get_inverse_scaling_matrix(parent_scale) *
  get_rotation_matrix(rotate, order: order) *
  get_scaling_matrix(scale)
end

.get_translation_matrix(*args) ⇒ Object 



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# File 'lib/bayonetta/linalg.rb', line 219

def self.get_translation_matrix(*args)
  m = get_unit_matrix
  v = get_translation_vector(*args)
  m.data[0][3] = v[0]
  m.data[1][3] = v[1]
  m.data[2][3] = v[2]
  m
end

.get_translation_vector(*args) ⇒ Object

Vector



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# File 'lib/bayonetta/linalg.rb', line 208

def self.get_translation_vector(*args)
  if args.length == 1
    v = args.first.dup
  elsif args.length == 3
    v = Vector::new(*args)
  else
    raise "Invalid translation arguments: #{args.inspect}!"
  end
  v
end

.get_unit_matrix ⇒ Object 



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# File 'lib/bayonetta/linalg.rb', line 371

def self.get_unit_matrix
  Matrix::new
end

.get_zero_matrix ⇒ Object 



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# File 'lib/bayonetta/linalg.rb', line 375

def self.get_zero_matrix
  Matrix::new * 0.0
end