Class: Bayonetta::Linalg::Matrix

Inherits:
Object
  • Object
show all
Defined in:
lib/bayonetta/linalg.rb

Instance Attribute Summary collapse

Instance Method Summary collapse

Constructor Details

#initialize ⇒ Matrix

Returns a new instance of Matrix.



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# File 'lib/bayonetta/linalg.rb', line 7

def initialize
  @data = [[1.0, 0.0, 0.0, 0.0],
           [0.0, 1.0, 0.0, 0.0],
           [0.0, 0.0, 1.0, 0.0],
           [0.0, 0.0, 0.0, 1.0]]
end

Instance Attribute Details

#data ⇒ Object (readonly)

Returns the value of attribute data.



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# File 'lib/bayonetta/linalg.rb', line 6

def data
  @data
end

Instance Method Details

#*(other) ⇒ Object 



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# File 'lib/bayonetta/linalg.rb', line 81

def *(other)
  if other.kind_of?(Matrix)
    m = Matrix::new
    4.times { |i|
      4.times { |j|
        m.data[i][j] = 0.0
        4.times { |k|
          m.data[i][j] += data[i][k] * other.data[k][j]
        }
      }
    }
    return m
  elsif other.kind_of?(Vector) || (other.kind_of?(Array) && other.length == 4)
    return Vector::new(
      @data[0][0] * other[0] + @data[0][1] * other[1] + @data[0][2] * other[2] + @data[0][3] * other[3],
      @data[1][0] * other[0] + @data[1][1] * other[1] + @data[1][2] * other[2] + @data[1][3] * other[3],
      @data[2][0] * other[0] + @data[2][1] * other[1] + @data[2][2] * other[2] + @data[2][3] * other[3],
      @data[3][0] * other[0] + @data[3][1] * other[1] + @data[3][2] * other[2] + @data[3][3] * other[3]
    )
  elsif other.kind_of?(Numeric)
    m = Matrix::new
    4.times { |i|
      4.times { |j|
        m.data[i][j] = data[i][j] * other
      }
    }
    return m
  else
    raise "Invalid argument for matrix miltiply: #{other.inspect}!"
  end
end

#+(other) ⇒ Object 



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# File 'lib/bayonetta/linalg.rb', line 67

def +(other)
  if other.kind_of?(Matrix)
    m = Matrix::new
    4.times { |i|
      4.times { |j|
        m.data[i][j] = data[i][j] + other.data[i][j]
      }
    }
    return m
  else
    raise "Invalid argument for matrix add: #{other.inspect}!"
  end
end

#[](i) ⇒ Object 



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# File 'lib/bayonetta/linalg.rb', line 14

def [](i)
  @data[i]
end

#inverse ⇒ Object 



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# File 'lib/bayonetta/linalg.rb', line 28

def inverse
  m = Matrix::new
  s0 = data[0][0] * data[1][1] - data[1][0] * data[0][1]
  s1 = data[0][0] * data[1][2] - data[1][0] * data[0][2]
  s2 = data[0][0] * data[1][3] - data[1][0] * data[0][3]
  s3 = data[0][1] * data[1][2] - data[1][1] * data[0][2]
  s4 = data[0][1] * data[1][3] - data[1][1] * data[0][3]
  s5 = data[0][2] * data[1][3] - data[1][2] * data[0][3]

  c5 = data[2][2] * data[3][3] - data[3][2] * data[2][3]
  c4 = data[2][1] * data[3][3] - data[3][1] * data[2][3]
  c3 = data[2][1] * data[3][2] - data[3][1] * data[2][2]
  c2 = data[2][0] * data[3][3] - data[3][0] * data[2][3]
  c1 = data[2][0] * data[3][2] - data[3][0] * data[2][2]
  c0 = data[2][0] * data[3][1] - data[3][0] * data[2][1]

  invdet = 1.0 / (s0 * c5 - s1 * c4 + s2 * c3 + s3 * c2 - s4 * c1 + s5 * c0)
  m.data[0][0] = ( data[1][1] * c5 - data[1][2] * c4 + data[1][3] * c3) * invdet
  m.data[0][1] = (-data[0][1] * c5 + data[0][2] * c4 - data[0][3] * c3) * invdet
  m.data[0][2] = ( data[3][1] * s5 - data[3][2] * s4 + data[3][3] * s3) * invdet
  m.data[0][3] = (-data[2][1] * s5 + data[2][2] * s4 - data[2][3] * s3) * invdet

  m.data[1][0] = (-data[1][0] * c5 + data[1][2] * c2 - data[1][3] * c1) * invdet
  m.data[1][1] = ( data[0][0] * c5 - data[0][2] * c2 + data[0][3] * c1) * invdet
  m.data[1][2] = (-data[3][0] * s5 + data[3][2] * s2 - data[3][3] * s1) * invdet
  m.data[1][3] = ( data[2][0] * s5 - data[2][2] * s2 + data[2][3] * s1) * invdet

  m.data[2][0] = ( data[1][0] * c4 - data[1][1] * c2 + data[1][3] * c0) * invdet
  m.data[2][1] = (-data[0][0] * c4 + data[0][1] * c2 - data[0][3] * c0) * invdet
  m.data[2][2] = ( data[3][0] * s4 - data[3][1] * s2 + data[3][3] * s0) * invdet
  m.data[2][3] = (-data[2][0] * s4 + data[2][1] * s2 - data[2][3] * s0) * invdet

  m.data[3][0] = (-data[1][0] * c3 + data[1][1] * c1 - data[1][2] * c0) * invdet
  m.data[3][1] = ( data[0][0] * c3 - data[0][1] * c1 + data[0][2] * c0) * invdet
  m.data[3][2] = (-data[3][0] * s3 + data[3][1] * s1 - data[3][2] * s0) * invdet
  m.data[3][3] = ( data[2][0] * s3 - data[2][1] * s1 + data[2][2] * s0) * invdet
  m
end

#transpose ⇒ Object 



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# File 'lib/bayonetta/linalg.rb', line 18

def transpose
  m = Matrix::new
  4.times { |i|
    4.times { |j|
      m.data[i][j] = data[j][i]
    }
  }
  m
end