warp.transform\_from\_matrix
============================

.. currentmodule:: warp._src.lang

.. function:: transform_from_matrix(mat: Matrix[float32, Literal[4], Literal[4]]) -> Transformation[float32]

   .. wp-function-tags::
      :kernel: true
      :python: true
      :differentiable: true
      :source: https://github.com/NVIDIA/warp/blob/release-1.18/warp/_src/math.py#L515-L539

   Construct a transformation from a 4x4 matrix.
   
   .. math::
       M = \begin{bmatrix}
       R_{00} & R_{01} & R_{02} & p_x \\
       R_{10} & R_{11} & R_{12} & p_y \\
       R_{20} & R_{21} & R_{22} & p_z \\
       0 & 0 & 0 & 1
       \end{bmatrix}
   
   Where:
   
   * :math:`R` is the 3x3 rotation matrix extracted from the rotational part of the input matrix.
   * :math:`p` is the 3D position vector :math:`[p_x, p_y, p_z]` extracted from the input matrix.
   
   :param mat: Matrix to convert.
   :type mat: Matrix[Float, 4, 4]
   
   :returns: The transformation.
   :rtype: Transformation[Float]
   

.. function:: transform_from_matrix(mat: Matrix[float16, Literal[4], Literal[4]]) -> Transformation[float16]
   :noindex:

   .. wp-function-tags::
      :kernel: true
      :python: true
      :differentiable: true
      :source: https://github.com/NVIDIA/warp/blob/release-1.18/warp/_src/math.py#L515-L539

   Construct a transformation from a 4x4 matrix.
   
   .. math::
       M = \begin{bmatrix}
       R_{00} & R_{01} & R_{02} & p_x \\
       R_{10} & R_{11} & R_{12} & p_y \\
       R_{20} & R_{21} & R_{22} & p_z \\
       0 & 0 & 0 & 1
       \end{bmatrix}
   
   Where:
   
   * :math:`R` is the 3x3 rotation matrix extracted from the rotational part of the input matrix.
   * :math:`p` is the 3D position vector :math:`[p_x, p_y, p_z]` extracted from the input matrix.
   
   :param mat: Matrix to convert.
   :type mat: Matrix[Float, 4, 4]
   
   :returns: The transformation.
   :rtype: Transformation[Float]
   

.. function:: transform_from_matrix(mat: Matrix[float64, Literal[4], Literal[4]]) -> Transformation[float64]
   :noindex:

   .. wp-function-tags::
      :kernel: true
      :python: true
      :differentiable: true
      :source: https://github.com/NVIDIA/warp/blob/release-1.18/warp/_src/math.py#L515-L539

   Construct a transformation from a 4x4 matrix.
   
   .. math::
       M = \begin{bmatrix}
       R_{00} & R_{01} & R_{02} & p_x \\
       R_{10} & R_{11} & R_{12} & p_y \\
       R_{20} & R_{21} & R_{22} & p_z \\
       0 & 0 & 0 & 1
       \end{bmatrix}
   
   Where:
   
   * :math:`R` is the 3x3 rotation matrix extracted from the rotational part of the input matrix.
   * :math:`p` is the 3D position vector :math:`[p_x, p_y, p_z]` extracted from the input matrix.
   
   :param mat: Matrix to convert.
   :type mat: Matrix[Float, 4, 4]
   
   :returns: The transformation.
   :rtype: Transformation[Float]