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cglm/docs/source/mat4x3.rst
Vincent Davis Jr 013ac5dd07 docs: mat4x3 account for latest mulitplication changes
This also includes tables to explain how
mat4x3, column vectors, and row vectors are
represented. Also includes how resulting
matrix or vector is formed.

Signed-off-by: Vincent Davis Jr <vince@underview.tech>
2024-03-31 14:43:31 -04:00

145 lines
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ReStructuredText

.. default-domain:: C
mat4x3
======
Header: cglm/mat4x3.h
Table of contents (click to go):
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Macros:
1. GLM_MAT4X3_ZERO_INIT
#. GLM_MAT4X3_ZERO
Functions:
1. :c:func:`glm_mat4x3_copy`
#. :c:func:`glm_mat4x3_zero`
#. :c:func:`glm_mat4x3_make`
#. :c:func:`glm_mat4x3_mul`
#. :c:func:`glm_mat4x3_mulv`
#. :c:func:`glm_mat4x3_transpose`
#. :c:func:`glm_mat4x3_scale`
Represented
~~~~~~~~~~~
.. csv-table:: mat4x3
:header: "", "column 1", "column 2", "column 3", "column4"
"row 1", "m00", "m10", "m20", "m30"
"row 2", "m01", "m11", "m21", "m31"
"row 3", "m02", "m12", "m22", "m32"
Functions documentation
~~~~~~~~~~~~~~~~~~~~~~~
.. c:function:: void glm_mat4x3_copy(mat4x3 mat, mat4x3 dest)
copy mat4x3 to another one (dest).
Parameters:
| *[in]* **mat** source
| *[out]* **dest** destination
.. c:function:: void glm_mat4x3_zero(mat4x3 mat)
make given matrix zero
Parameters:
| *[in,out]* **mat** matrix
.. c:function:: void glm_mat4x3_make(const float * __restrict src, mat4x3 dest)
Create mat4x3 matrix from pointer
.. note:: **@src** must contain at least 12 elements.
Parameters:
| *[in]* **src** pointer to an array of floats
| *[out]* **dest** destination matrix4x3
.. c:function:: void glm_mat4x3_mul(mat4x3 m1, mat3x4 m2, mat3 dest)
multiply m1 and m2 to dest
.. code-block:: c
glm_mat4x3_mul(mat4x3, mat3x4, mat3);
Parameters:
| *[in]* **m1** left matrix (mat4x3)
| *[in]* **m2** right matrix (mat3x4)
| *[out]* **dest** destination matrix (mat3)
.. csv-table:: mat4x3
:header: "", "column 1", "column 2", "column 3", "column 4"
"row 1", "a00", "a10", "a20", "a30"
"row 2", "a01", "a11", "a21", "a31"
"row 3", "a02", "a12", "a22", "a32"
.. csv-table:: mat3x4
:header: "", "column 1", "column 2", "column 3"
"row 1", "b00", "b10", "b20"
"row 2", "b01", "b11", "b21"
"row 3", "b02", "b12", "b22"
"row 4", "b03", "b13", "b23"
.. csv-table:: mat3x3
:header: "", "column 1", "column 2", "column 3"
"row 1", "a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03", "a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13", "a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23"
"row 2", "a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03", "a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13", "a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23"
"row 3", "a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03", "a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13", "a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23"
.. c:function:: void glm_mat4x3_mulv(mat4x3 m, vec4 v, vec3 dest)
multiply mat4x3 with vec4 (column vector) and store in dest column vector
Parameters:
| *[in]* **m** mat4x3 (left)
| *[in]* **v** vec4 (right, column vector)
| *[out]* **dest** destination (result, column vector)
.. csv-table:: mat4x3
:header: "", "column 1", "column 2", "column 3", "column 4"
"row 1", "m00", "m10", "m20", "m30"
"row 2", "m01", "m11", "m21", "m31"
"row 3", "m02", "m12", "m22", "m32"
.. csv-table:: column vec4 (1x4)
:header: "", "column 1"
"row 1", "v0"
"row 2", "v1"
"row 3", "v2"
"row 4", "v3"
.. csv-table:: column vec3 (1x3)
:header: "", "column 1"
"row 1", "m00 * v0 + m10 * v1 + m20 * v2 + m30 * v3"
"row 2", "m01 * v0 + m11 * v1 + m21 * v2 + m31 * v3"
"row 3", "m02 * v0 + m12 * v1 + m22 * v2 + m32 * v3"
.. c:function:: void glm_mat4x3_transpose(mat4x3 m, mat3x4 dest)
transpose matrix and store in dest
Parameters:
| *[in]* **m** matrix
| *[out]* **dest** destination
.. c:function:: void glm_mat4x3_scale(mat4x3 m, float s)
multiply matrix with scalar
Parameters:
| *[in, out]* **m** matrix
| *[in]* **s** scalar