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+.. default-domain:: C
+
+mat4
+====
+
+Header: cglm/mat4.h
+
+Important: :c:func:`glm_mat4_scale` multiplies mat4 with scalar, if you need to
+apply scale transform use :c:func:`glm_scale` functions.
+
+Table of contents (click to go):
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+Macros:
+
+1. GLM_MAT4_IDENTITY_INIT
+#. GLM_MAT4_ZERO_INIT
+#. GLM_MAT4_IDENTITY
+#. GLM_MAT4_ZERO
+#. glm_mat4_udup(mat, dest)
+#. glm_mat4_dup(mat, dest)
+
+Functions:
+
+1. :c:func:`glm_mat4_ucopy`
+#. :c:func:`glm_mat4_copy`
+#. :c:func:`glm_mat4_identity`
+#. :c:func:`glm_mat4_identity_array`
+#. :c:func:`glm_mat4_zero`
+#. :c:func:`glm_mat4_pick3`
+#. :c:func:`glm_mat4_pick3t`
+#. :c:func:`glm_mat4_ins3`
+#. :c:func:`glm_mat4_mul`
+#. :c:func:`glm_mat4_mulN`
+#. :c:func:`glm_mat4_mulv`
+#. :c:func:`glm_mat4_mulv3`
+#. :c:func:`glm_mat3_trace`
+#. :c:func:`glm_mat3_trace3`
+#. :c:func:`glm_mat4_quat`
+#. :c:func:`glm_mat4_transpose_to`
+#. :c:func:`glm_mat4_transpose`
+#. :c:func:`glm_mat4_scale_p`
+#. :c:func:`glm_mat4_scale`
+#. :c:func:`glm_mat4_det`
+#. :c:func:`glm_mat4_inv`
+#. :c:func:`glm_mat4_inv_fast`
+#. :c:func:`glm_mat4_swap_col`
+#. :c:func:`glm_mat4_swap_row`
+#. :c:func:`glm_mat4_rmc`
+
+Functions documentation
+~~~~~~~~~~~~~~~~~~~~~~~
+
+.. c:function:: void glm_mat4_ucopy(mat4 mat, mat4 dest)
+
+ copy mat4 to another one (dest). u means align is not required for dest
+
+ Parameters:
+ | *[in]* **mat** source
+ | *[out]* **dest** destination
+
+.. c:function:: void glm_mat4_copy(mat4 mat, mat4 dest)
+
+ copy mat4 to another one (dest).
+
+ Parameters:
+ | *[in]* **mat** source
+ | *[out]* **dest** destination
+
+.. c:function:: void glm_mat4_identity(mat4 mat)
+
+ copy identity mat4 to mat, or makes mat to identiy
+
+ Parameters:
+ | *[out]* **mat** matrix
+
+.. c:function:: void glm_mat4_identity_array(mat4 * __restrict mat, size_t count)
+
+ make given matrix array's each element identity matrix
+
+ Parameters:
+ | *[in,out]* **mat** matrix array (must be aligned (16/32) if alignment is not disabled)
+ | *[in]* **count** count of matrices
+
+.. c:function:: void glm_mat4_zero(mat4 mat)
+
+ make given matrix zero
+
+ Parameters:
+ | *[in,out]* **mat** matrix to
+
+.. c:function:: void glm_mat4_pick3(mat4 mat, mat3 dest)
+
+ copy upper-left of mat4 to mat3
+
+ Parameters:
+ | *[in]* **mat** source
+ | *[out]* **dest** destination
+
+.. c:function:: void glm_mat4_pick3t(mat4 mat, mat4 dest)
+
+ copy upper-left of mat4 to mat3 (transposed)
+ the postfix t stands for transpose
+
+ Parameters:
+ | *[in]* **mat** source
+ | *[out]* **dest** destination
+
+.. c:function:: void glm_mat4_ins3(mat3 mat, mat4 dest)
+
+ copy mat3 to mat4's upper-left. this function does not fill mat4's other
+ elements. To do that use glm_mat4.
+
+ Parameters:
+ | *[in]* **mat** source
+ | *[out]* **dest** destination
+
+.. c:function:: void glm_mat4_mul(mat4 m1, mat4 m2, mat4 dest)
+
+ multiply m1 and m2 to dest
+ m1, m2 and dest matrices can be same matrix, it is possible to write this:
+
+ .. code-block:: c
+
+ mat4 m = GLM_MAT4_IDENTITY_INIT;
+ glm_mat4_mul(m, m, m);
+
+ Parameters:
+ | *[in]* **m1** left matrix
+ | *[in]* **m2** right matrix
+ | *[out]* **dest** destination matrix
+
+.. c:function:: void glm_mat4_mulN(mat4 * __restrict matrices[], int len, mat4 dest)
+
+ mupliply N mat4 matrices and store result in dest
+ | this function lets you multiply multiple (more than two or more...)
+ | matrices
+
+ | multiplication will be done in loop, this may reduce instructions
+ | size but if **len** is too small then compiler may unroll whole loop
+
+ .. code-block:: c
+
+ mat m1, m2, m3, m4, res;
+ glm_mat4_mulN((mat4 *[]){&m1, &m2, &m3, &m4}, 4, res);
+
+ Parameters:
+ | *[in]* **matrices** array of mat4
+ | *[in]* **len** matrices count
+ | *[out]* **dest** destination matrix
+
+.. c:function:: void glm_mat4_mulv(mat4 m, vec4 v, vec4 dest)
+
+ multiply mat4 with vec4 (column vector) and store in dest vector
+
+ Parameters:
+ | *[in]* **m** mat4 (left)
+ | *[in]* **v** vec4 (right, column vector)
+ | *[in]* **last** 4th item to make it vec4
+ | *[out]* **dest** vec4 (result, column vector)
+
+.. c:function:: void glm_mat4_mulv3(mat4 m, vec3 v, float last, vec3 dest)
+
+ | multiply **vec3** with **mat4** and get **vec3** as result
+ |
+ | actually the result is **vec4**, after multiplication,
+ the last component is trimmed, if you need the result's last component
+ then don't use this function and consider to use **glm_mat4_mulv()**
+
+ Parameters:
+ | *[in]* **m** mat4(affine transform)
+ | *[in]* **v** vec3
+ | *[in]* **last** 4th item to make it vec4
+ | *[out]* **dest** result vector (vec3)
+
+.. c:function:: void glm_mat4_trace(mat4 m)
+
+ | sum of the elements on the main diagonal from upper left to the lower right
+
+ Parameters:
+ | *[in]* **m** matrix
+
+ Returns:
+ trace of matrix
+
+.. c:function:: void glm_mat4_trace3(mat4 m)
+
+ | trace of matrix (rotation part)
+ | sum of the elements on the main diagonal from upper left to the lower right
+
+ Parameters:
+ | *[in]* **m** matrix
+
+ Returns:
+ trace of matrix
+
+.. c:function:: void glm_mat4_quat(mat4 m, versor dest)
+
+ convert mat4's rotation part to quaternion
+
+ Parameters:
+ | *[in]* **m** affine matrix
+ | *[out]* **dest** destination quaternion
+
+.. c:function:: void glm_mat4_transpose_to(mat4 m, mat4 dest)
+
+ transpose mat4 and store in dest
+ source matrix will not be transposed unless dest is m
+
+ Parameters:
+ | *[in]* **m** matrix
+ | *[out]* **dest** destination matrix
+
+.. c:function:: void glm_mat4_transpose(mat4 m)
+
+ tranpose mat4 and store result in same matrix
+
+ Parameters:
+ | *[in]* **m** source
+ | *[out]* **dest** destination matrix
+
+.. c:function:: void glm_mat4_scale_p(mat4 m, float s)
+
+ scale (multiply with scalar) matrix without simd optimization
+
+ Parameters:
+ | *[in, out]* **m** matrix
+ | *[in]* **s** scalar
+
+.. c:function:: void glm_mat4_scale(mat4 m, float s)
+
+ scale (multiply with scalar) matrix
+ THIS IS NOT SCALE TRANSFORM, use glm_scale for that.
+
+ Parameters:
+ | *[in, out]* **m** matrix
+ | *[in]* **s** scalar
+
+.. c:function:: float glm_mat4_det(mat4 mat)
+
+ mat4 determinant
+
+ Parameters:
+ | *[in]* **mat** matrix
+
+ Return:
+ | determinant
+
+.. c:function:: void glm_mat4_inv(mat4 mat, mat4 dest)
+
+ inverse mat4 and store in dest
+
+ Parameters:
+ | *[in]* **mat** source
+ | *[out]* **dest** destination matrix (inverse matrix)
+
+.. c:function:: void glm_mat4_inv_fast(mat4 mat, mat4 dest)
+
+ inverse mat4 and store in dest
+
+ | this func uses reciprocal approximation without extra corrections
+ | e.g Newton-Raphson. this should work faster than normal,
+ | to get more precise use glm_mat4_inv version.
+
+ | NOTE: You will lose precision, glm_mat4_inv is more accurate
+
+ Parameters:
+ | *[in]* **mat** source
+ | *[out]* **dest** destination
+
+.. c:function:: void glm_mat4_swap_col(mat4 mat, int col1, int col2)
+
+ swap two matrix columns
+
+ Parameters:
+ | *[in, out]* **mat** matrix
+ | *[in]* **col1** col1
+ | *[in]* **col2** col2
+
+.. c:function:: void glm_mat4_swap_row(mat4 mat, int row1, int row2)
+
+ swap two matrix rows
+
+ Parameters:
+ | *[in, out]* **mat** matrix
+ | *[in]* **row1** row1
+ | *[in]* **row2** row2
+
+.. c:function:: float glm_mat4_rmc(vec4 r, mat4 m, vec4 c)
+
+ | **rmc** stands for **Row** * **Matrix** * **Column**
+
+ | helper for R (row vector) * M (matrix) * C (column vector)
+
+ | the result is scalar because R * M = Matrix1x4 (row vector),
+ | then Matrix1x4 * Vec4 (column vector) = Matrix1x1 (Scalar)
+
+ Parameters:
+ | *[in]* **r** row vector or matrix1x4
+ | *[in]* **m** matrix4x4
+ | *[in]* **c** column vector or matrix4x1
+
+ Returns:
+ scalar value e.g. Matrix1x1