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@ -12,9 +12,28 @@ struct Transform2D { |
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sealed class Transform2DComponent : Component { |
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public Transform2D transform; |
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public Transform2DComponent() { |
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public Transform2DComponent() |
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: this(0,0,0,0,0,1,1) |
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{} |
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public Transform2DComponent(float x, float y) |
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: this(x,y,0,0,0,1,1) |
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{} |
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public Transform2DComponent(float x, float y, float angle) |
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: this(x,y,angle,0,0,1,1) |
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{} |
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public Transform2DComponent(float x, float y, float angle, float center_x, float center_y) |
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: this(x,y,angle,center_x,center_y,1,1) |
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{} |
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public Transform2DComponent(float x, float y, float angle, float center_x, float center_y, float scale_x, float scale_y) { |
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transform = new Transform2D(); |
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transform.scale = Complex.ImaginaryOne + 1; |
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transform.position = y*Complex.ImaginaryOne + x; |
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transform.angle = angle; |
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transform.anchor = center_y*Complex.ImaginaryOne + center_x; |
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transform.scale = scale_y*Complex.ImaginaryOne + scale_x; |
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} |
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public Transform2D AbsoluteTransform() { |
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@ -25,17 +44,12 @@ sealed class Transform2DComponent : Component { |
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var component = up.GetComponent<Transform2DComponent>(); |
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if(component != null) { |
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Transform2D combined = component.AbsoluteTransform(); |
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var unscaled_pos = |
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(combined.position + transform.position - combined.anchor) |
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/(Complex.Exp(Complex.ImaginaryOne * combined.angle) - combined.anchor); |
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var normalized_pos = unscaled_pos/unscaled_pos.Magnitude; |
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combined.position = unscaled_pos.Magnitude*(transform.scale.Real*normalized_pos.Real + transform.scale.Imaginary*normalized_pos.Imaginary*Complex.ImaginaryOne); |
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var unscaled_anchor = |
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(combined.position + transform.anchor - combined.anchor) |
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/(Complex.Exp(Complex.ImaginaryOne * combined.angle) - combined.anchor); |
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var normalized_anchor = unscaled_anchor/unscaled_anchor.Magnitude; |
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combined.anchor = unscaled_anchor.Magnitude*(transform.scale.Real*normalized_anchor.Real + transform.scale.Imaginary*normalized_anchor.Imaginary*Complex.ImaginaryOne); |
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combined.scale *= transform.scale; |
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var unscaled_pos = (transform.position - transform.anchor)*Complex.Exp(Complex.ImaginaryOne * combined.angle) + transform.anchor; |
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combined.position = combined.scale.Real*unscaled_pos.Real + combined.scale.Imaginary*unscaled_pos.Imaginary*Complex.ImaginaryOne |
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+ combined.position + combined.anchor; |
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var unscaled_anchor = (transform.anchor - transform.position)*Complex.Exp(Complex.ImaginaryOne * combined.angle) + transform.position; |
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combined.anchor = transform.scale.Real*unscaled_anchor.Real + transform.scale.Imaginary*unscaled_anchor.Imaginary*Complex.ImaginaryOne; |
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combined.scale = transform.scale.Imaginary*combined.scale.Imaginary*Complex.ImaginaryOne + transform.scale.Real * combined.scale.Real; |
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combined.angle += transform.angle; |
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return combined; |
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} |
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