Class: Assimp::Matrix4x4

Inherits:
FFI::Struct
  • Object
show all
Extended by:
StructAccessors
Defined in:
lib/assimp/matrix4x4.rb

Class Method Summary collapse

Instance Method Summary collapse

Methods included from StructAccessors

extended, has_ref?, struct_array_attr_accessor, struct_array_attr_checker, struct_array_attr_reader, struct_array_attr_writer, struct_attr_accessor, struct_attr_reader, struct_attr_writer, struct_ref_array_attr_accessor, struct_ref_array_attr_reader, struct_ref_array_attr_writer

Class Method Details

.identity ⇒ Object 



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# File 'lib/assimp/matrix4x4.rb', line 14

def self.identity
  m = Matrix4x4::new
  Assimp::aiIdentityMatrix4(m)
  m
end

.rotation(a, axis) ⇒ Object 



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# File 'lib/assimp/matrix4x4.rb', line 20

def self.rotation(a, axis)
  # https://en.wikipedia.org/wiki/Rotation_matrix#Axis_and_angle
  c = Math::cos(a)
  s = Math::sin(a)
  t = 1 - c
  x = axis.x
  y = axis.y
  z = axis.z

  out = Matrix4x4
  out.a1 = t*x*x + c
  out.a2 = t*x*y - s*z
  out.a3 = t*x*z + s*y
  out.a4 = 0.0
  out.b1 = t*x*y + s*z
  out.b2 = t*y*y + c
  out.b3 = t*y*z - s*x
  out.b4 = 0.0
  out.c1 = t*x*z - s*y
  out.c2 = t*y*z + s*x
  out.c3 = t*z*z + c
  out.c4 = 0.0
  out.d1 = 0.0
  out.d2 = 0.0
  out.d3 = 0.0
  out.d4 = 1.0
  out
end

.scaling(vec) ⇒ Object 



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# File 'lib/assimp/matrix4x4.rb', line 57

def self.scaling(vec)
   out = identity
   out.a1 = v.x
   out.b2 = v.y
   out.c3 = v.z
   out
end

.translation(vec) ⇒ Object 



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# File 'lib/assimp/matrix4x4.rb', line 49

def self.translation(vec)
  out = identity
  out.a4 = vec.x
  out.b4 = vec.y
  out.c4 = vec.z
  out
end

Instance Method Details

#*(other) ⇒ Object 



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# File 'lib/assimp/matrix4x4.rb', line 97

def *(other)
  if other.kind_of?(Matrix4x4)
    m = self.dup
    Assimp::aiMultiplyMatrix4(m, other)
    m
  elsif other.kind_of?(Vector3D)
    v = other.dup
    Assimp::aiTransformVecByMatrix4(v, self)
    v
  else
    raise "Unsupported operand: #{other.inspect}!"
  end
end

#decompose ⇒ Object 



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# File 'lib/assimp/matrix4x4.rb', line 79

def decompose
  scaling = Vector3D::new
  rotation = Quaternion::new
  position = Vector3D::new
  Assimp::aiDecomposeMatrix(self, scaling, rotation, position)
  [scaling, rotation, position]
end

#determinant ⇒ Object 



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# File 'lib/assimp/matrix4x4.rb', line 111

def determinant
  a1*b2*c3*d4 - a1*b2*c4*d3 + a1*b3*c4*d2 - a1*b3*c2*d4 +
  a1*b4*c2*d3 - a1*b4*c3*d2 - a2*b3*c4*d1 + a2*b3*c1*d4 -
  a2*b4*c1*d3 + a2*b4*c3*d1 - a2*b1*c3*d4 + a2*b1*c4*d3 +
  a3*b4*c1*d2 - a3*b4*c2*d1 + a3*b1*c2*d4 - a3*b1*c4*d2 +
  a3*b2*c4*d1 - a3*b2*c1*d4 - a4*b1*c2*d3 + a4*b1*c3*d2 -
  a4*b2*c3*d1 + a4*b2*c1*d3 - a4*b3*c1*d2 + a4*b3*c2*d1
end

#identity! ⇒ Object 



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# File 'lib/assimp/matrix4x4.rb', line 65

def identity!
  Assimp::aiIdentityMatrix4(self)
  self
end

#inverse ⇒ Object 



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# File 'lib/assimp/matrix4x4.rb', line 120

def inverse
  det = determinant
  raise "Not inversible!" if det == 0.0
  m = Matrix4x4::new
  invdet = 1.0/det
  m.a1 = invdet  * (b2 * (c3 * d4 - c4 * d3) +
                    b3 * (c4 * d2 - c2 * d4) +
                    b4 * (c2 * d3 - c3 * d2))
  m.a2 = -invdet * (a2 * (c3 * d4 - c4 * d3) +
                    a3 * (c4 * d2 - c2 * d4) +
                    a4 * (c2 * d3 - c3 * d2))
  m.a3 = invdet  * (a2 * (b3 * d4 - b4 * d3) +
                    a3 * (b4 * d2 - b2 * d4) +
                    a4 * (b2 * d3 - b3 * d2))
  m.a4 = -invdet * (a2 * (b3 * c4 - b4 * c3) +
                    a3 * (b4 * c2 - b2 * c4) +
                    a4 * (b2 * c3 - b3 * c2))
  m.b1 = -invdet * (b1 * (c3 * d4 - c4 * d3) +
                    b3 * (c4 * d1 - c1 * d4) +
                    b4 * (c1 * d3 - c3 * d1))
  m.b2 = invdet  * (a1 * (c3 * d4 - c4 * d3) +
                    a3 * (c4 * d1 - c1 * d4) +
                    a4 * (c1 * d3 - c3 * d1))
  m.b3 = -invdet * (a1 * (b3 * d4 - b4 * d3) +
                    a3 * (b4 * d1 - b1 * d4) +
                    a4 * (b1 * d3 - b3 * d1))
  m.b4 = invdet  * (a1 * (b3 * c4 - b4 * c3) +
                    a3 * (b4 * c1 - b1 * c4) +
                    a4 * (b1 * c3 - b3 * c1))
  m.c1 = invdet  * (b1 * (c2 * d4 - c4 * d2) +
                    b2 * (c4 * d1 - c1 * d4) +
                    b4 * (c1 * d2 - c2 * d1))
  m.c2 = -invdet * (a1 * (c2 * d4 - c4 * d2) +
                    a2 * (c4 * d1 - c1 * d4) +
                    a4 * (c1 * d2 - c2 * d1))
  m.c3 = invdet  * (a1 * (b2 * d4 - b4 * d2) +
                    a2 * (b4 * d1 - b1 * d4) +
                    a4 * (b1 * d2 - b2 * d1))
  m.c4 = -invdet * (a1 * (b2 * c4 - b4 * c2) +
                    a2 * (b4 * c1 - b1 * c4) +
                    a4 * (b1 * c2 - b2 * c1))
  m.d1 = -invdet * (b1 * (c2 * d3 - c3 * d2) +
                    b2 * (c3 * d1 - c1 * d3) +
                    b3 * (c1 * d2 - c2 * d1))
  m.d2 = invdet  * (a1 * (c2 * d3 - c3 * d2) +
                    a2 * (c3 * d1 - c1 * d3) +
                    a3 * (c1 * d2 - c2 * d1))
  m.d3 = -invdet * (a1 * (b2 * d3 - b3 * d2) +
                    a2 * (b3 * d1 - b1 * d3) +
                    a3 * (b1 * d2 - b2 * d1))
  m.d4 = invdet  * (a1 * (b2 * c3 - b3 * c2) +
                    a2 * (b3 * c1 - b1 * c3) +
                    a3 * (b1 * c2 - b2 * c1))
  m
end

#to_s ⇒ Object 



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# File 'lib/assimp/matrix4x4.rb', line 70

def to_s
  <<EOF
< <#{a1}, #{a2}, #{a3}, #{a4}>,
  <#{b1}, #{b2}, #{b3}, #{b4}>,
  <#{c1}, #{c2}, #{c3}, #{c4}>,
  <#{d1}, #{d2}, #{d3}, #{d4}> >
EOF
end

#transpose ⇒ Object 



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# File 'lib/assimp/matrix4x4.rb', line 92

def transpose
  t = self.dup
  t.transpose!
end

#transpose! ⇒ Object 



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# File 'lib/assimp/matrix4x4.rb', line 87

def transpose!
  Assimp::aiTransposeMatrix4(self)
  self
end