Class: Three::Euler

Inherits:
Object
  • Object
show all
Includes:
Enumerable
Defined in:
lib/three/math/euler.rb

Constant Summary collapse

DEFAULT_ORDER = 
"XYZ"
ORDERS = 
%w[XYZ YXZ ZXY ZYX YZX XZY].freeze

Instance Attribute Summary collapse

Instance Method Summary collapse

Constructor Details

#initialize(x = 0, y = 0, z = 0, order = DEFAULT_ORDER) ⇒ Euler

Returns a new instance of Euler.



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# File 'lib/three/math/euler.rb', line 15

def initialize(x = 0, y = 0, z = 0, order = DEFAULT_ORDER)
  validate_order!(order)

  @x = x
  @y = y
  @z = z
  @order = order
  @on_change_callback = proc {}
end

Instance Attribute Details

#order ⇒ Object

Returns the value of attribute order.



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# File 'lib/three/math/euler.rb', line 13

def order
  @order
end

#x ⇒ Object

Returns the value of attribute x.



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# File 'lib/three/math/euler.rb', line 13

def x
  @x
end

#y ⇒ Object

Returns the value of attribute y.



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# File 'lib/three/math/euler.rb', line 13

def y
  @y
end

#z ⇒ Object

Returns the value of attribute z.



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# File 'lib/three/math/euler.rb', line 13

def z
  @z
end

Instance Method Details

#==(other) ⇒ Object 



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# File 'lib/three/math/euler.rb', line 153

def ==(other)
  other.is_a?(self.class) && equals?(other)
end

#clone ⇒ Object 



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# File 'lib/three/math/euler.rb', line 57

def clone
  self.class.new(@x, @y, @z, @order)
end

#copy(euler, update: true) ⇒ Object 



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# File 'lib/three/math/euler.rb', line 61

def copy(euler, update: true)
  set(euler.x, euler.y, euler.z, euler.order, update: update)
end

#deconstruct ⇒ Object 



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# File 'lib/three/math/euler.rb', line 177

def deconstruct
  to_a
end

#each {|@x| ... } ⇒ Object

Yields:

  • (@x) 


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# File 'lib/three/math/euler.rb', line 164

def each
  return enum_for(:each) unless block_given?

  yield @x
  yield @y
  yield @z
  yield @order
end

#equals?(euler, epsilon: 0.0) ⇒ Boolean

Returns:

  • (Boolean) 


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# File 'lib/three/math/euler.rb', line 146

def equals?(euler, epsilon: 0.0)
  @order == euler.order &&
    (@x - euler.x).abs <= epsilon &&
    (@y - euler.y).abs <= epsilon &&
    (@z - euler.z).abs <= epsilon
end

#inspect ⇒ Object 



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# File 'lib/three/math/euler.rb', line 181

def inspect
  "#<#{self.class} x=#{@x.inspect} y=#{@y.inspect} z=#{@z.inspect} order=#{@order.inspect}>"
end

#on_change(&callback) ⇒ Object Also known as: _on_change 



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# File 'lib/three/math/euler.rb', line 157

def on_change(&callback)
  @on_change_callback = callback || proc {}
  self
end

#set(x, y, z, order = @order, update: true) ⇒ Object 



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# File 'lib/three/math/euler.rb', line 46

def set(x, y, z, order = @order, update: true)
  validate_order!(order)

  @x = x
  @y = y
  @z = z
  @order = order
  changed! if update
  self
end

#set_from_quaternion(quaternion, order = @order, update: true) ⇒ Object 



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# File 'lib/three/math/euler.rb', line 141

def set_from_quaternion(quaternion, order = @order, update: true)
  matrix = Matrix4.new.make_rotation_from_quaternion(quaternion)
  set_from_rotation_matrix(matrix, order, update: update)
end

#set_from_rotation_matrix(matrix, order = @order, update: true) ⇒ Object 



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# File 'lib/three/math/euler.rb', line 65

def set_from_rotation_matrix(matrix, order = @order, update: true)
  validate_order!(order)

  elements = matrix.elements
  m11 = elements[0]
  m12 = elements[4]
  m13 = elements[8]
  m21 = elements[1]
  m22 = elements[5]
  m23 = elements[9]
  m31 = elements[2]
  m32 = elements[6]
  m33 = elements[10]

  case order
  when "XYZ"
    @y = Math.asin(MathUtils.clamp(m13, -1, 1))
    if m13.abs < 0.9999999
      @x = Math.atan2(-m23, m33)
      @z = Math.atan2(-m12, m11)
    else
      @x = Math.atan2(m32, m22)
      @z = 0
    end
  when "YXZ"
    @x = Math.asin(-MathUtils.clamp(m23, -1, 1))
    if m23.abs < 0.9999999
      @y = Math.atan2(m13, m33)
      @z = Math.atan2(m21, m22)
    else
      @y = Math.atan2(-m31, m11)
      @z = 0
    end
  when "ZXY"
    @x = Math.asin(MathUtils.clamp(m32, -1, 1))
    if m32.abs < 0.9999999
      @y = Math.atan2(-m31, m33)
      @z = Math.atan2(-m12, m22)
    else
      @y = 0
      @z = Math.atan2(m21, m11)
    end
  when "ZYX"
    @y = Math.asin(-MathUtils.clamp(m31, -1, 1))
    if m31.abs < 0.9999999
      @x = Math.atan2(m32, m33)
      @z = Math.atan2(m21, m11)
    else
      @x = 0
      @z = Math.atan2(-m12, m22)
    end
  when "YZX"
    @z = Math.asin(MathUtils.clamp(m21, -1, 1))
    if m21.abs < 0.9999999
      @x = Math.atan2(-m23, m22)
      @y = Math.atan2(-m31, m11)
    else
      @x = 0
      @y = Math.atan2(m13, m33)
    end
  when "XZY"
    @z = Math.asin(-MathUtils.clamp(m12, -1, 1))
    if m12.abs < 0.9999999
      @x = Math.atan2(m32, m22)
      @y = Math.atan2(m13, m11)
    else
      @x = Math.atan2(-m23, m33)
      @y = 0
    end
  end

  @order = order
  changed! if update
  self
end

#to_a ⇒ Object 



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# File 'lib/three/math/euler.rb', line 173

def to_a
  [@x, @y, @z, @order]
end