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