Merge pull request #88 from yushli/master

Update quat.h

.gitignore

@@ -69,3 +69,4 @@ win/cglm_test_*
 win/x64
 win/x85
 win/Debug
+cglm-test-ios*

.travis.yml

@@ -57,3 +57,6 @@ after_success:
         --gcov-options '\-lp'
         --verbose;
     fi
+
+after_failure:
+  - cat ./test-suite.log

CREDITS

@@ -52,3 +52,12 @@ https://gamedev.stackexchange.com/questions/28395/rotating-vector3-by-a-quaterni
 
 9. Sphere AABB intersect
 https://github.com/erich666/GraphicsGems/blob/master/gems/BoxSphere.c
+
+10. Horizontal add
+https://stackoverflow.com/questions/6996764/fastest-way-to-do-horizontal-float-vector-sum-on-x86
+
+11. de casteljau implementation and comments
+https://forums.khronos.org/showthread.php/10264-Animations-in-1-4-1-release-notes-revision-A/page2?highlight=bezier
+https://forums.khronos.org/showthread.php/10644-Animation-Bezier-interpolation
+https://forums.khronos.org/showthread.php/10387-2D-Tangents-in-Bezier-Splines?p=34164&viewfull=1#post34164
+https://forums.khronos.org/showthread.php/10651-Animation-TCB-Spline-Interpolation-in-COLLADA?highlight=bezier

README.md

@@ -24,6 +24,8 @@ you have the latest version
 - **[major change]** by starting v0.4.0, quaternions are stored as [x, y, z, w], it was [w, x, y, z] in v0.3.5 and earlier versions
 - **[api rename]** by starting v0.4.5, **glm_simd** functions are renamed to **glmm_**  
 - **[new option]** by starting v0.4.5, you can disable alignment requirement, check options in docs.  
+- **[major change]** by starting v0.5.0, vec3 functions use **glm_vec3_** namespace, it was **glm_vec_** until v0.5.0
+- **[major change]** by starting v0.5.1, built-in alignment is removed from **vec3** and **mat3** types
 
 #### Note for C++ developers:
 If you don't aware about original GLM library yet, you may also want to look at:
@@ -80,7 +82,12 @@ Currently *cglm* uses default clip space configuration (-1, 1) for camera functi
 - inline or pre-compiled function call
 - frustum (extract view frustum planes, corners...)
 - bounding box  (AABB in Frustum (culling), crop, merge...)
+- bounding sphere
 - project, unproject
+- easing functions
+- curves
+- curve interpolation helpers (S*M*C, deCasteljau...)
+- and other...
 
 <hr />
 
@@ -122,39 +129,6 @@ glm_mul(T, R, modelMat);
 glm_inv_tr(modelMat);
 ```
 
-## Contributors
-
-This project exists thanks to all the people who contribute. [[Contribute](CONTRIBUTING.md)].
-<a href="graphs/contributors"><img src="https://opencollective.com/cglm/contributors.svg?width=890&button=false" /></a>
-
-
-## Backers
-
-Thank you to all our backers! 🙏 [[Become a backer](https://opencollective.com/cglm#backer)]
-
-<a href="https://opencollective.com/cglm#backers" target="_blank"><img src="https://opencollective.com/cglm/backers.svg?width=890"></a>
-
-
-## Sponsors
-
-Support this project by becoming a sponsor. Your logo will show up here with a link to your website. [[Become a sponsor](https://opencollective.com/cglm#sponsor)]
-
-<a href="https://opencollective.com/cglm/sponsor/0/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/0/avatar.svg"></a>
-<a href="https://opencollective.com/cglm/sponsor/1/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/1/avatar.svg"></a>
-<a href="https://opencollective.com/cglm/sponsor/2/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/2/avatar.svg"></a>
-<a href="https://opencollective.com/cglm/sponsor/3/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/3/avatar.svg"></a>
-<a href="https://opencollective.com/cglm/sponsor/4/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/4/avatar.svg"></a>
-<a href="https://opencollective.com/cglm/sponsor/5/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/5/avatar.svg"></a>
-<a href="https://opencollective.com/cglm/sponsor/6/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/6/avatar.svg"></a>
-<a href="https://opencollective.com/cglm/sponsor/7/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/7/avatar.svg"></a>
-<a href="https://opencollective.com/cglm/sponsor/8/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/8/avatar.svg"></a>
-<a href="https://opencollective.com/cglm/sponsor/9/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/9/avatar.svg"></a>
-
-
-
-## License
-MIT. check the LICENSE file
-
 ## Build
 
 ### Unix (Autotools)
@@ -284,3 +258,35 @@ You can pass same way to another APIs e.g. Vulkan, DX...
 - [ ] Unaligned operations (e.g. `glm_umat4_mul`)
 - [x] Extra documentation
 - [ ] ARM Neon Arch (In Progress)
+
+
+## Contributors
+
+This project exists thanks to all the people who contribute. [[Contribute](CONTRIBUTING.md)].
+<a href="graphs/contributors"><img src="https://opencollective.com/cglm/contributors.svg?width=890&button=false" /></a>
+
+
+## Backers
+
+Thank you to all our backers! 🙏 [[Become a backer](https://opencollective.com/cglm#backer)]
+
+<a href="https://opencollective.com/cglm#backers" target="_blank"><img src="https://opencollective.com/cglm/backers.svg?width=890"></a>
+
+
+## Sponsors
+
+Support this project by becoming a sponsor. Your logo will show up here with a link to your website. [[Become a sponsor](https://opencollective.com/cglm#sponsor)]
+
+<a href="https://opencollective.com/cglm/sponsor/0/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/0/avatar.svg"></a>
+<a href="https://opencollective.com/cglm/sponsor/1/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/1/avatar.svg"></a>
+<a href="https://opencollective.com/cglm/sponsor/2/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/2/avatar.svg"></a>
+<a href="https://opencollective.com/cglm/sponsor/3/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/3/avatar.svg"></a>
+<a href="https://opencollective.com/cglm/sponsor/4/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/4/avatar.svg"></a>
+<a href="https://opencollective.com/cglm/sponsor/5/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/5/avatar.svg"></a>
+<a href="https://opencollective.com/cglm/sponsor/6/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/6/avatar.svg"></a>
+<a href="https://opencollective.com/cglm/sponsor/7/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/7/avatar.svg"></a>
+<a href="https://opencollective.com/cglm/sponsor/8/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/8/avatar.svg"></a>
+<a href="https://opencollective.com/cglm/sponsor/9/website" target="_blank"><img src="https://opencollective.com/cglm/sponsor/9/avatar.svg"></a>
+
+## License
+MIT. check the LICENSE file

cglm.podspec

@@ -2,7 +2,7 @@ Pod::Spec.new do |s|
 
   # Description
   s.name         = "cglm"
-  s.version      = "0.4.6"
+  s.version      = "0.5.1"
   s.summary      = "📽 Optimized OpenGL/Graphics Math (glm) for C"
   s.description  = <<-DESC
 cglm is math library for graphics programming for C. It is similar to original glm but it is written for C instead of C++ (you can use here too). See the documentation or README for all features.

configure.ac

@@ -7,7 +7,7 @@
 #*****************************************************************************
 
 AC_PREREQ([2.69])
-AC_INIT([cglm], [0.5.0], [info@recp.me])
+AC_INIT([cglm], [0.5.4], [info@recp.me])
 AM_INIT_AUTOMAKE([-Wall -Werror foreign subdir-objects])
 
 AC_CONFIG_MACRO_DIR([m4])
@@ -29,6 +29,7 @@ LT_INIT
 # Checks for libraries.
 AC_CHECK_LIB([m], [floor])
 
+m4_ifdef([AM_SILENT_RULES], [AM_SILENT_RULES([yes])])
 AC_SYS_LARGEFILE
 
 # Checks for header files.

docs/source/api.rst

@@ -46,3 +46,5 @@ Follow the :doc:`build` documentation for this
    io
    call
    sphere
+   curve
+   bezier

docs/source/bezier.rst

@@ -0,0 +1,89 @@
+.. default-domain:: C
+
+Bezier
+================================================================================
+
+Header: cglm/bezier.h
+
+Common helpers for cubic bezier and similar curves.
+
+Table of contents (click to go):
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+Functions:
+
+1. :c:func:`glm_bezier`
+2. :c:func:`glm_hermite`
+3. :c:func:`glm_decasteljau`
+
+Functions documentation
+~~~~~~~~~~~~~~~~~~~~~~~
+
+.. c:function:: float glm_bezier(float s, float p0, float c0, float c1, float p1)
+
+    | cubic bezier interpolation
+    | formula:
+
+    .. code-block:: text
+
+      B(s) = P0*(1-s)^3 + 3*C0*s*(1-s)^2 + 3*C1*s^2*(1-s) + P1*s^3
+
+    | similar result using matrix:
+
+    .. code-block:: text
+
+      B(s) = glm_smc(t, GLM_BEZIER_MAT, (vec4){p0, c0, c1, p1})
+
+    | glm_eq(glm_smc(...), glm_bezier(...)) should return TRUE
+
+    Parameters:
+      | *[in]*  **s**   parameter between 0 and 1
+      | *[in]*  **p0**  begin point
+      | *[in]*  **c0**  control point 1
+      | *[in]*  **c1**  control point 2
+      | *[in]*  **p1**  end point
+
+    Returns:
+        B(s)
+
+.. c:function:: float glm_hermite(float s, float p0, float t0, float t1, float p1)
+
+    | cubic hermite interpolation
+    | formula:
+
+    .. code-block:: text
+
+      H(s) = P0*(2*s^3 - 3*s^2 + 1) + T0*(s^3 - 2*s^2 + s) + P1*(-2*s^3 + 3*s^2) + T1*(s^3 - s^2)
+
+    | similar result using matrix:
+
+    .. code-block:: text
+
+      H(s) = glm_smc(t, GLM_HERMITE_MAT, (vec4){p0, p1, c0, c1})
+
+    | glm_eq(glm_smc(...), glm_hermite(...)) should return TRUE
+
+
+    Parameters:
+      | *[in]*  **s**   parameter between 0 and 1
+      | *[in]*  **p0**  begin point
+      | *[in]*  **t0**  tangent 1
+      | *[in]*  **t1**  tangent 2
+      | *[in]*  **p1**  end point
+
+    Returns:
+        B(s)
+
+.. c:function:: float glm_decasteljau(float prm, float p0, float c0, float c1, float p1)
+
+    | iterative way to solve cubic equation
+
+    Parameters:
+      | *[in]*  **prm** parameter between 0 and 1
+      | *[in]*  **p0**  begin point
+      | *[in]*  **c0**  control point 1
+      | *[in]*  **c1**  control point 2
+      | *[in]*  **p1**  end point
+
+    Returns:
+        parameter to use in cubic equation

docs/source/build.rst

@@ -1,9 +1,7 @@
-Building cglm
+Build cglm
 ================================
 
-| **cglm** does not have external dependencies except for unit testing.
+| **cglm** does not have external dependencies except for unit testing. When you pulled **cglm** repo with submodules all dependencies will be pulled too. `build-deps.sh` will pull all dependencies/submodules and build for you.
-| When you pulled cglm repo with submodules all dependencies will be pulled too.
-| `build-deps.sh` will pull all dependencies/submodules and build for you.
 
 External dependencies:
   * cmocka - for unit testing
@@ -12,7 +10,8 @@ External dependencies:
 If you only need to inline versions, you don't need to build **cglm**, you don't need to link it to your program.
 Just import cglm to your project as dependency / external lib by copy-paste then use it as usual
 
-**Unix (Autotools):**
+Unix (Autotools):
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 
 .. code-block:: bash
   :linenos:
@@ -26,11 +25,12 @@ Just import cglm to your project as dependency / external lib by copy-paste then
   $ [sudo] make install   # install to system (optional)
 
 **make** will build cglm to **.libs** sub folder in project folder.
-If you don't want to install cglm to your system's folder you can get static and dynamic libs in this folder.
+If you don't want to install **cglm** to your system's folder you can get static and dynamic libs in this folder.
 
-**Build dependencies (windows):**
+Windows (MSBuild):
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 
-Windows related build files, project files are located in win folder,
+Windows related build files, project files are located in `win` folder,
 make sure you are inside in cglm/win folder.
 
 Code Analysis are enabled, it may take awhile to build.
@@ -50,3 +50,19 @@ then try to build with *devenv*:
   $ devenv cglm.sln /Build Release
 
 Currently tests are not available on Windows.
+
+Documentation (Sphinx):
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+**cglm** uses sphinx framework for documentation, it allows lot of formats for documentation. To see all options see sphinx build page:
+
+https://www.sphinx-doc.org/en/master/man/sphinx-build.html
+
+Example build:
+
+.. code-block:: bash
+  :linenos:
+
+  $ cd cglm/docs
+  $ sphinx-build source build
+

docs/source/cam.rst

@@ -36,6 +36,7 @@ Functions:
 #. :c:func:`glm_ortho_default`
 #. :c:func:`glm_ortho_default_s`
 #. :c:func:`glm_perspective`
+#. :c:func:`glm_persp_move_far`
 #. :c:func:`glm_perspective_default`
 #. :c:func:`glm_perspective_resize`
 #. :c:func:`glm_lookat`
@@ -145,6 +146,16 @@ Functions documentation
       | *[in]*  **farVal**  far clipping planes
       | *[out]* **dest**    result matrix
 
+.. c:function:: void  glm_persp_move_far(mat4 proj, float deltaFar)
+
+    | extend perspective projection matrix's far distance
+
+    | this function does not guarantee far >= near, be aware of that!
+
+    Parameters:
+      | *[in, out]*  **proj**      projection matrix to extend
+      | *[in]*       **deltaFar**  distance from existing far (negative to shink)
+
 .. c:function:: void glm_perspective_default(float aspect, mat4 dest)
 
      | set up perspective projection matrix with default near/far

docs/source/conf.py

@@ -62,9 +62,9 @@ author = u'Recep Aslantas'
 # built documents.
 #
 # The short X.Y version.
-version = u'0.5.0'
+version = u'0.5.4'
 # The full version, including alpha/beta/rc tags.
-release = u'0.5.0'
+release = u'0.5.4'
 
 # The language for content autogenerated by Sphinx. Refer to documentation
 # for a list of supported languages.
@@ -90,7 +90,7 @@ todo_include_todos = False
 # The theme to use for HTML and HTML Help pages.  See the documentation for
 # a list of builtin themes.
 #
-html_theme = 'alabaster'
+html_theme = 'sphinx_rtd_theme'
 
 # Theme options are theme-specific and customize the look and feel of a theme
 # further.  For a list of options available for each theme, see the
@@ -99,13 +99,13 @@ html_theme = 'alabaster'
 # html_theme_options = {}
 
 html_theme_options = {
-    'github_banner': 'true',
+    # 'github_banner': 'true',
-    'github_button': 'true',
+    # 'github_button': 'true',
-    'github_user': 'recp',
+    # 'github_user': 'recp',
-    'github_repo': 'cglm',
+    # 'github_repo': 'cglm',
-    'travis_button': 'true',
+    # 'travis_button': 'true',
-    'show_related': 'true',
+    # 'show_related': 'true',
-    'fixed_sidebar': 'true'
+    # 'fixed_sidebar': 'true'
 }
 
 # Add any paths that contain custom static files (such as style sheets) here,

docs/source/curve.rst

@@ -0,0 +1,41 @@
+.. default-domain:: C
+
+Curve
+================================================================================
+
+Header: cglm/curve.h
+
+Common helpers for common curves. For specific curve see its header/doc
+e.g bezier
+
+Table of contents (click to go):
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+Functions:
+
+1. :c:func:`glm_smc`
+
+Functions documentation
+~~~~~~~~~~~~~~~~~~~~~~~
+
+.. c:function:: float  glm_smc(float s, mat4 m, vec4 c)
+
+    | helper function to calculate **S** * **M** * **C** multiplication for curves
+
+    | this function does not encourage you to use SMC, instead it is a helper if you use SMC.
+
+    | if you want to specify S as vector then use more generic glm_mat4_rmc() func.
+
+    | Example usage:
+
+    .. code-block:: c
+
+       Bs = glm_smc(s, GLM_BEZIER_MAT, (vec4){p0, c0, c1, p1})
+
+    Parameters:
+      | *[in]*  **s**  parameter between 0 and 1 (this will be [s3, s2, s, 1])
+      | *[in]*  **m**  basis matrix
+      | *[out]* **c**  position/control vector
+
+    Returns:
+        scalar value e.g. Bs

docs/source/features.rst

@@ -0,0 +1,23 @@
+Features
+================================================================================
+
+* general purpose matrix operations (mat4, mat3)
+* chain matrix multiplication (square only)
+* general purpose vector operations (cross, dot, rotate, proj, angle...)
+* affine transforms
+* matrix decomposition (extract rotation, scaling factor)
+* optimized affine transform matrices (mul, rigid-body inverse)
+* camera (lookat)
+* projections (ortho, perspective)
+* quaternions
+* euler angles / yaw-pitch-roll to matrix
+* extract euler angles
+* inline or pre-compiled function call
+* frustum (extract view frustum planes, corners...)
+* bounding box (AABB in Frustum (culling), crop, merge...)
+* bounding sphere
+* project, unproject
+* easing functions
+* curves
+* curve interpolation helpers (SMC, deCasteljau...)
+* and other...

docs/source/getting_started.rst

@@ -9,23 +9,26 @@ Types:
 .. code-block:: c
   :linenos:
 
-   typedef float vec3[3];
+  typedef float                   vec2[2];
-   typedef int  ivec3[3];
+  typedef float                   vec3[3];
-   typedef CGLM_ALIGN(16) float vec4[4];
+  typedef int                    ivec3[3];
+  typedef CGLM_ALIGN_IF(16) float vec4[4];
+  typedef vec4                    versor;
+  typedef vec3                    mat3[3];
 
-   typedef vec3 mat3[3];
+  #ifdef __AVX__
-   typedef vec4 mat4[4];
+  typedef CGLM_ALIGN_IF(32) vec4  mat4[4];
-
+  #else
-   typedef vec4 versor;
+  typedef CGLM_ALIGN_IF(16) vec4  mat4[4];
+  #endif
 
 As you can see types don't store extra informations in favor of space.
 You can send these values e.g. matrix to OpenGL directly without casting or calling a function like *value_ptr*
 
-Alignment is Required:
+Alignment Is Required:
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 
-**vec4** and **mat4** requires 16 byte alignment because vec4 and mat4 operations are
+**vec4** and **mat4** requires 16 (32 for **mat4** if AVX is enabled) byte alignment because **vec4** and **mat4** operations are vectorized by SIMD instructions (SSE/AVX/NEON).
-vectorized by SIMD instructions (SSE/AVX).
 
 **UPDATE:**
   By starting v0.4.5 cglm provides an option to disable alignment requirement, it is enabled as default
@@ -37,10 +40,9 @@ vectorized by SIMD instructions (SSE/AVX).
 Allocations:
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 *cglm* doesn't alloc any memory on heap. So it doesn't provide any allocator.
-You must allocate memory yourself. You should alloc memory for out parameters too if you pass pointer of memory location.
+You must allocate memory yourself. You should alloc memory for out parameters too if you pass pointer of memory location. When allocating memory, don't forget that **vec4** and **mat4** require alignment.
-When allocating memory don't forget that **vec4** and **mat4** requires alignment.
 
-**NOTE:** Unaligned vec4 and unaligned mat4 operations will be supported in the future. Check todo list.
+**NOTE:** Unaligned **vec4** and unaligned **mat4** operations will be supported in the future. Check todo list.
 Because you may want to multiply a CGLM matrix with external matrix.
 There is no guarantee that non-CGLM matrix is aligned. Unaligned types will have *u* prefix e.g. **umat4**
 

docs/source/index.rst

@@ -3,7 +3,7 @@
    You can adapt this file completely to your liking, but it should at least
    contain the root `toctree` directive.
 
-Welcome to cglm's documentation!
+cglm Documentation
 ================================
 
 **cglm** is optimized 3D math library written in C99 (compatible with C89).
@@ -14,33 +14,36 @@ is considered to be supported as optional.
 
 Also currently only **float** type is supported for most operations.
 
-**Features**
-
-* general purpose matrix operations (mat4, mat3)
-* chain matrix multiplication (square only)
-* general purpose vector operations (cross, dot, rotate, proj, angle...)
-* affine transforms
-* matrix decomposition (extract rotation, scaling factor)
-* optimized affine transform matrices (mul, rigid-body inverse)
-* camera (lookat)
-* projections (ortho, perspective)
-* quaternions
-* euler angles / yaw-pitch-roll to matrix
-* extract euler angles
-* inline or pre-compiled function call
-* frustum (extract view frustum planes, corners...)
-* bounding box (AABB in Frustum (culling), crop, merge...)
-
-
 .. toctree::
-   :maxdepth: 1
+   :maxdepth: 2
-   :caption: Table Of Contents:
+   :caption: Getting Started:
 
+   features
    build
    getting_started
+
+.. toctree::
+   :maxdepth: 2
+   :caption: How To:
+
    opengl
+
+.. toctree::
+   :maxdepth: 2
+   :caption: API:
+
    api
+
+.. toctree::
+   :maxdepth: 2
+   :caption: Options:
+
    opt
+
+.. toctree::
+   :maxdepth: 2
+   :caption: Troubleshooting:
+
    troubleshooting
 
 Indices and tables

docs/source/mat3.rst

@@ -21,6 +21,7 @@ Functions:
 1. :c:func:`glm_mat3_copy`
 #. :c:func:`glm_mat3_identity`
 #. :c:func:`glm_mat3_identity_array`
+#. :c:func:`glm_mat3_zero`
 #. :c:func:`glm_mat3_mul`
 #. :c:func:`glm_mat3_transpose_to`
 #. :c:func:`glm_mat3_transpose`
@@ -29,8 +30,10 @@ Functions:
 #. :c:func:`glm_mat3_scale`
 #. :c:func:`glm_mat3_det`
 #. :c:func:`glm_mat3_inv`
+#. :c:func:`glm_mat3_trace`
 #. :c:func:`glm_mat3_swap_col`
 #. :c:func:`glm_mat3_swap_row`
+#. :c:func:`glm_mat3_rmc`
 
 Functions documentation
 ~~~~~~~~~~~~~~~~~~~~~~~
@@ -58,6 +61,13 @@ Functions documentation
       | *[in,out]* **mat**  matrix array (must be aligned (16/32) if alignment is not disabled)
       | *[in]* **count**  count of matrices
 
+.. c:function:: void  glm_mat3_zero(mat3 mat)
+
+    make given matrix zero
+
+    Parameters:
+      | *[in,out]* **mat**  matrix to
+
 .. c:function:: void  glm_mat3_mul(mat3 m1, mat3 m2, mat3 dest)
 
     multiply m1 and m2 to dest
@@ -133,6 +143,16 @@ Functions documentation
       | *[in]*  **mat**  matrix
       | *[out]* **dest** destination (inverse matrix)
 
+.. c:function:: void glm_mat3_trace(mat3 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_mat3_swap_col(mat3 mat, int col1, int col2)
 
     swap two matrix columns
@@ -150,3 +170,20 @@ Functions documentation
       | *[in, out]*  **mat**   matrix
       | *[in]*       **row1**  row1
       | *[in]*       **row2**  row2
+
+.. c:function:: float  glm_mat3_rmc(vec3 r, mat3 m, vec3 c)
+
+    | **rmc** stands for **Row** * **Matrix** * **Column**
+
+    | helper for  R (row vector) * M (matrix) * C (column vector)
+
+    | the result is scalar because R * M = Matrix1x3 (row vector),
+    | then Matrix1x3 * Vec3 (column vector) = Matrix1x1 (Scalar)
+
+    Parameters:
+      | *[in]*  **r**  row vector or matrix1x3
+      | *[in]*  **m**  matrix3x3
+      | *[in]*  **c**  column vector or matrix3x1
+
+    Returns:
+        scalar value e.g. Matrix1x1

docs/source/mat4.rst

@@ -26,6 +26,7 @@ Functions:
 #. :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`
@@ -33,6 +34,8 @@ Functions:
 #. :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`
@@ -43,6 +46,7 @@ Functions:
 #. :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
 ~~~~~~~~~~~~~~~~~~~~~~~
@@ -78,6 +82,13 @@ Functions documentation
       | *[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
@@ -156,6 +167,27 @@ Functions documentation
     | *[in]*  **v**     vec3 (right, column vector)
     | *[out]* **dest**  vec3 (result, column vector)
 
+.. 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
@@ -247,3 +279,20 @@ Functions documentation
       | *[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

docs/source/opengl.rst

@@ -45,7 +45,7 @@ array of matrices:
 
 in this way, passing aray of matrices is same
 
-Passing / Uniforming Vectors to OpenGL:¶
+Passing / Uniforming Vectors to OpenGL:
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 
 You don't need to do extra thing when passing cglm vectors to OpengL or other APIs.

docs/source/opt.rst

@@ -40,3 +40,13 @@ SSE and SSE2 Shuffle Option
 **_mm_shuffle_ps** generates **shufps** instruction even if registers are same.
 You can force it to generate **pshufd** instruction by defining
 **CGLM_USE_INT_DOMAIN** macro. As default it is not defined.
+
+SSE3 and SSE4 Dot Product Options
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+You have to extra options for dot product: **CGLM_SSE4_DOT** and **CGLM_SSE3_DOT**.
+
+- If **SSE4** is enabled then you can define **CGLM_SSE4_DOT** to force cglm to use **_mm_dp_ps** instruction.
+- If **SSE3** is enabled then you can define **CGLM_SSE3_DOT** to force cglm to use **_mm_hadd_ps** instructions.
+
+otherwise cglm will use custom cglm's hadd functions which are optimized too.

docs/source/vec3.rst

@@ -39,7 +39,6 @@ Functions:
 #. :c:func:`glm_vec3_zero`
 #. :c:func:`glm_vec3_one`
 #. :c:func:`glm_vec3_dot`
-#. :c:func:`glm_vec3_cross`
 #. :c:func:`glm_vec3_norm2`
 #. :c:func:`glm_vec3_norm`
 #. :c:func:`glm_vec3_add`
@@ -65,6 +64,8 @@ Functions:
 #. :c:func:`glm_vec3_negate_to`
 #. :c:func:`glm_vec3_normalize`
 #. :c:func:`glm_vec3_normalize_to`
+#. :c:func:`glm_vec3_cross`
+#. :c:func:`glm_vec3_crossn`
 #. :c:func:`glm_vec3_distance2`
 #. :c:func:`glm_vec3_distance`
 #. :c:func:`glm_vec3_angle`
@@ -125,12 +126,21 @@ Functions documentation
 
 .. c:function:: void  glm_vec3_cross(vec3 a, vec3 b, vec3 d)
 
-    cross product
+    cross product of two vector (RH)
 
     Parameters:
-      | *[in]*  **a**  source 1
+      | *[in]*  **a**     vector 1
-      | *[in]*  **b**  source 2
+      | *[in]*  **b**     vector 2
-      | *[out]* **d**  destination
+      | *[out]* **dest**  destination
+
+.. c:function:: void  glm_vec3_crossn(vec3 a, vec3 b, vec3 dest)
+
+    cross product of two vector (RH) and normalize the result
+
+    Parameters:
+      | *[in]*  **a**     vector 1
+      | *[in]*  **b**     vector 2
+      | *[out]* **dest**  destination
 
 .. c:function:: float  glm_vec3_norm2(vec3 v)
 

docs/source/vec4.rst

@@ -58,11 +58,7 @@ Functions:
 #. :c:func:`glm_vec4_minv`
 #. :c:func:`glm_vec4_clamp`
 #. :c:func:`glm_vec4_lerp`
-#. :c:func:`glm_vec4_isnan`
+#. :c:func:`glm_vec4_cubic`
-#. :c:func:`glm_vec4_isinf`
-#. :c:func:`glm_vec4_isvalid`
-#. :c:func:`glm_vec4_sign`
-#. :c:func:`glm_vec4_sqrt`
 
 Functions documentation
 ~~~~~~~~~~~~~~~~~~~~~~~
@@ -401,3 +397,11 @@ Functions documentation
       | *[in]*  **to**     to value
       | *[in]*  **t**      interpolant (amount) clamped between 0 and 1
       | *[out]* **dest**   destination
+
+.. c:function:: void  glm_vec4_cubic(float s, vec4 dest)
+
+    helper to fill vec4 as [S^3, S^2, S, 1]
+
+    Parameters:
+      | *[in]*  **s**      parameter
+      | *[out]* **dest**   destination

include/cglm/affine-mat.h

@@ -152,7 +152,7 @@ glm_inv_tr(mat4 mat) {
   glm_inv_tr_sse2(mat);
 #else
   CGLM_ALIGN_MAT mat3 r;
-  CGLM_ALIGN(16) vec3 t;
+  CGLM_ALIGN(8)  vec3 t;
 
   /* rotate */
   glm_mat4_pick3t(mat, r);

include/cglm/bezier.h

@@ -0,0 +1,154 @@
+/*
+ * Copyright (c), Recep Aslantas.
+ *
+ * MIT License (MIT), http://opensource.org/licenses/MIT
+ * Full license can be found in the LICENSE file
+ */
+
+#ifndef cglm_bezier_h
+#define cglm_bezier_h
+
+#include "common.h"
+
+#define GLM_BEZIER_MAT_INIT  {{-1.0f,  3.0f, -3.0f,  1.0f},                   \
+                              { 3.0f, -6.0f,  3.0f,  0.0f},                   \
+                              {-3.0f,  3.0f,  0.0f,  0.0f},                   \
+                              { 1.0f,  0.0f,  0.0f,  0.0f}}
+#define GLM_HERMITE_MAT_INIT {{ 2.0f, -3.0f,  0.0f,  1.0f},                   \
+                              {-2.0f,  3.0f,  0.0f,  0.0f},                   \
+                              { 1.0f, -2.0f,  1.0f,  0.0f},                   \
+                              { 1.0f, -1.0f,  0.0f,  0.0f}}
+/* for C only */
+#define GLM_BEZIER_MAT  ((mat4)GLM_BEZIER_MAT_INIT)
+#define GLM_HERMITE_MAT ((mat4)GLM_HERMITE_MAT_INIT)
+
+#define CGLM_DECASTEL_EPS   1e-9
+#define CGLM_DECASTEL_MAX   1000
+#define CGLM_DECASTEL_SMALL 1e-20
+
+/*!
+ * @brief cubic bezier interpolation
+ *
+ * Formula:
+ *  B(s) = P0*(1-s)^3 + 3*C0*s*(1-s)^2 + 3*C1*s^2*(1-s) + P1*s^3
+ *
+ * similar result using matrix:
+ *  B(s) = glm_smc(t, GLM_BEZIER_MAT, (vec4){p0, c0, c1, p1})
+ *
+ * glm_eq(glm_smc(...), glm_bezier(...)) should return TRUE
+ *
+ * @param[in]  s    parameter between 0 and 1
+ * @param[in]  p0   begin point
+ * @param[in]  c0   control point 1
+ * @param[in]  c1   control point 2
+ * @param[in]  p1   end point
+ *
+ * @return B(s)
+ */
+CGLM_INLINE
+float
+glm_bezier(float s, float p0, float c0, float c1, float p1) {
+  float x, xx, ss, xs3, a;
+
+  x   = 1.0f - s;
+  xx  = x * x;
+  ss  = s * s;
+  xs3 = (s - ss) * 3.0f;
+  a   = p0 * xx + c0 * xs3;
+
+  return a + s * (c1 * xs3 + p1 * ss - a);
+}
+
+/*!
+ * @brief cubic hermite interpolation
+ *
+ * Formula:
+ *  H(s) = P0*(2*s^3 - 3*s^2 + 1) + T0*(s^3 - 2*s^2 + s)
+ *            + P1*(-2*s^3 + 3*s^2) + T1*(s^3 - s^2)
+ *
+ * similar result using matrix:
+ *  H(s) = glm_smc(t, GLM_HERMITE_MAT, (vec4){p0, p1, c0, c1})
+ *
+ * glm_eq(glm_smc(...), glm_hermite(...)) should return TRUE
+ *
+ * @param[in]  s    parameter between 0 and 1
+ * @param[in]  p0   begin point
+ * @param[in]  t0   tangent 1
+ * @param[in]  t1   tangent 2
+ * @param[in]  p1   end point
+ *
+ * @return H(s)
+ */
+CGLM_INLINE
+float
+glm_hermite(float s, float p0, float t0, float t1, float p1) {
+  float ss, d, a, b, c, e, f;
+
+  ss = s  * s;
+  a  = ss + ss;
+  c  = a  + ss;
+  b  = a  * s;
+  d  = s  * ss;
+  f  = d  - ss;
+  e  = b  - c;
+
+  return p0 * (e + 1.0f) + t0 * (f - ss + s) + t1 * f - p1 * e;
+}
+
+/*!
+ * @brief iterative way to solve cubic equation
+ *
+ * @param[in]  prm  parameter between 0 and 1
+ * @param[in]  p0   begin point
+ * @param[in]  c0   control point 1
+ * @param[in]  c1   control point 2
+ * @param[in]  p1   end point
+ *
+ * @return parameter to use in cubic equation
+ */
+CGLM_INLINE
+float
+glm_decasteljau(float prm, float p0, float c0, float c1, float p1) {
+  float u, v, a, b, c, d, e, f;
+  int   i;
+
+  if (prm - p0 < CGLM_DECASTEL_SMALL)
+    return 0.0f;
+
+  if (p1 - prm < CGLM_DECASTEL_SMALL)
+    return 1.0f;
+
+  u  = 0.0f;
+  v  = 1.0f;
+
+  for (i = 0; i < CGLM_DECASTEL_MAX; i++) {
+    /* de Casteljau Subdivision */
+    a  = (p0 + c0) * 0.5f;
+    b  = (c0 + c1) * 0.5f;
+    c  = (c1 + p1) * 0.5f;
+    d  = (a  + b)  * 0.5f;
+    e  = (b  + c)  * 0.5f;
+    f  = (d  + e)  * 0.5f; /* this one is on the curve! */
+
+    /* The curve point is close enough to our wanted t */
+    if (fabsf(f - prm) < CGLM_DECASTEL_EPS)
+      return glm_clamp_zo((u  + v) * 0.5f);
+
+    /* dichotomy */
+    if (f < prm) {
+      p0 = f;
+      c0 = e;
+      c1 = c;
+      u  = (u  + v) * 0.5f;
+    } else {
+      c0 = a;
+      c1 = d;
+      p1 = f;
+      v  = (u  + v) * 0.5f;
+    }
+  }
+
+  return glm_clamp_zo((u  + v) * 0.5f);
+}
+
+#endif /* cglm_bezier_h */

include/cglm/call.h

@@ -27,6 +27,8 @@ extern "C" {
 #include "call/project.h"
 #include "call/sphere.h"
 #include "call/ease.h"
+#include "call/curve.h"
+#include "call/bezier.h"
 
 #ifdef __cplusplus
 }

include/cglm/call/bezier.h

@@ -0,0 +1,31 @@
+/*
+ * Copyright (c), Recep Aslantas.
+ *
+ * MIT License (MIT), http://opensource.org/licenses/MIT
+ * Full license can be found in the LICENSE file
+ */
+
+#ifndef cglmc_bezier_h
+#define cglmc_bezier_h
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#include "../cglm.h"
+
+CGLM_EXPORT
+float
+glmc_bezier(float s, float p0, float c0, float c1, float p1);
+
+CGLM_EXPORT
+float
+glmc_hermite(float s, float p0, float t0, float t1, float p1);
+
+CGLM_EXPORT
+float
+glmc_decasteljau(float prm, float p0, float c0, float c1, float p1);
+
+#ifdef __cplusplus
+}
+#endif
+#endif /* cglmc_bezier_h */

include/cglm/call/cam.h

@@ -61,6 +61,10 @@ glmc_perspective(float fovy,
                  float farVal,
                  mat4 dest);
 
+CGLM_EXPORT
+void
+glmc_persp_move_far(mat4 proj, float deltaFar);
+
 CGLM_EXPORT
 void
 glmc_perspective_default(float aspect, mat4 dest);

include/cglm/call/curve.h

@@ -0,0 +1,23 @@
+/*
+ * Copyright (c), Recep Aslantas.
+ *
+ * MIT License (MIT), http://opensource.org/licenses/MIT
+ * Full license can be found in the LICENSE file
+ */
+
+#ifndef cglmc_curve_h
+#define cglmc_curve_h
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#include "../cglm.h"
+
+CGLM_EXPORT
+float
+glmc_smc(float s, mat4 m, vec4 c);
+
+#ifdef __cplusplus
+}
+#endif
+#endif /* cglmc_curve_h */

include/cglm/call/ease.h

@@ -137,4 +137,7 @@ CGLM_EXPORT
 float
 glmc_ease_bounce_inout(float t);
 
+#ifdef __cplusplus
+}
+#endif
 #endif /* cglmc_ease_h */

include/cglm/call/mat3.h

@@ -44,6 +44,10 @@ CGLM_EXPORT
 void
 glmc_mat3_mulv(mat3 m, vec3 v, vec3 dest);
 
+CGLM_EXPORT
+float
+glmc_mat3_trace(mat3 m);
+
 CGLM_EXPORT
 void
 glmc_mat3_quat(mat3 m, versor dest);
@@ -68,6 +72,10 @@ CGLM_EXPORT
 void
 glmc_mat3_swap_row(mat3 mat, int row1, int row2);
 
+CGLM_EXPORT
+float
+glmc_mat3_rmc(vec3 r, mat3 m, vec3 c);
+
 #ifdef __cplusplus
 }
 #endif

include/cglm/call/mat4.h

@@ -61,6 +61,14 @@ CGLM_EXPORT
 void
 glmc_mat4_mulv3(mat4 m, vec3 v, float last, vec3 dest);
 
+CGLM_EXPORT
+float
+glmc_mat4_trace(mat4 m);
+
+CGLM_EXPORT
+float
+glmc_mat4_trace3(mat4 m);
+
 CGLM_EXPORT
 void
 glmc_mat4_quat(mat4 m, versor dest);
@@ -105,6 +113,10 @@ CGLM_EXPORT
 void
 glmc_mat4_swap_row(mat4 mat, int row1, int row2);
 
+CGLM_EXPORT
+float
+glmc_mat4_rmc(vec4 r, mat4 m, vec4 c);
+
 #ifdef __cplusplus
 }
 #endif

include/cglm/call/sphere.h

@@ -33,4 +33,7 @@ CGLM_EXPORT
 bool
 glmc_sphere_point(vec4 s, vec3 point);
 
+#ifdef __cplusplus
+}
+#endif
 #endif /* cglmc_sphere_h */

include/cglm/call/vec3.h

@@ -42,7 +42,11 @@ glmc_vec3_dot(vec3 a, vec3 b);
 
 CGLM_EXPORT
 void
-glmc_vec3_cross(vec3 a, vec3 b, vec3 d);
+glmc_vec3_cross(vec3 a, vec3 b, vec3 dest);
+
+CGLM_EXPORT
+void
+glmc_vec3_crossn(vec3 a, vec3 b, vec3 dest);
 
 CGLM_EXPORT
 float

include/cglm/call/vec4.h

@@ -153,6 +153,10 @@ CGLM_EXPORT
 void
 glmc_vec4_lerp(vec4 from, vec4 to, float t, vec4 dest);
 
+CGLM_EXPORT
+void
+glmc_vec4_cubic(float s, vec4 dest);
+
 /* ext */
 
 CGLM_EXPORT

include/cglm/cam.h

@@ -84,7 +84,7 @@ glm_frustum(float left,
             mat4  dest) {
   float rl, tb, fn, nv;
 
-  glm__memzero(float, dest, sizeof(mat4));
+  glm_mat4_zero(dest);
 
   rl = 1.0f / (right  - left);
   tb = 1.0f / (top    - bottom);
@@ -122,7 +122,7 @@ glm_ortho(float left,
           mat4  dest) {
   float rl, tb, fn;
 
-  glm__memzero(float, dest, sizeof(mat4));
+  glm_mat4_zero(dest);
 
   rl = 1.0f / (right  - left);
   tb = 1.0f / (top    - bottom);
@@ -259,7 +259,7 @@ glm_perspective(float fovy,
                 mat4  dest) {
   float f, fn;
 
-  glm__memzero(float, dest, sizeof(mat4));
+  glm_mat4_zero(dest);
 
   f  = 1.0f / tanf(fovy * 0.5f);
   fn = 1.0f / (nearVal - farVal);
@@ -271,6 +271,30 @@ glm_perspective(float fovy,
   dest[3][2] = 2.0f * nearVal * farVal * fn;
 }
 
+/*!
+ * @brief extend perspective projection matrix's far distance
+ *
+ * this function does not guarantee far >= near, be aware of that!
+ *
+ * @param[in, out] proj      projection matrix to extend
+ * @param[in]      deltaFar  distance from existing far (negative to shink)
+ */
+CGLM_INLINE
+void
+glm_persp_move_far(mat4 proj, float deltaFar) {
+  float fn, farVal, nearVal, p22, p32;
+
+  p22        = proj[2][2];
+  p32        = proj[3][2];
+
+  nearVal    = p32 / (p22 - 1.0f);
+  farVal     = p32 / (p22 + 1.0f) + deltaFar;
+  fn         = 1.0f / (nearVal - farVal);
+
+  proj[2][2] = (nearVal + farVal) * fn;
+  proj[3][2] = 2.0f * nearVal * farVal * fn;
+}
+
 /*!
  * @brief set up perspective projection matrix with default near/far
  *        and angle values
@@ -323,9 +347,7 @@ glm_lookat(vec3 eye,
   glm_vec3_sub(center, eye, f);
   glm_vec3_normalize(f);
 
-  glm_vec3_cross(f, up, s);
+  glm_vec3_crossn(f, up, s);
-  glm_vec3_normalize(s);
-
   glm_vec3_cross(s, f, u);
 
   dest[0][0] = s[0];

include/cglm/cglm.h

@@ -26,5 +26,7 @@
 #include "project.h"
 #include "sphere.h"
 #include "ease.h"
+#include "curve.h"
+#include "bezier.h"
 
 #endif /* cglm_h */

include/cglm/common.h

@@ -11,8 +11,10 @@
 #define _USE_MATH_DEFINES /* for windows */
 
 #include <stdint.h>
+#include <stddef.h>
 #include <math.h>
 #include <float.h>
+#include <stdbool.h>
 
 #if defined(_MSC_VER)
 #  ifdef CGLM_DLL
@@ -26,34 +28,6 @@
 #  define CGLM_INLINE static inline __attribute((always_inline))
 #endif
 
-#define glm__memcpy(type, dest, src, size)                                    \
-  do {                                                                        \
-    type *srci;                                                               \
-    type *srci_end;                                                           \
-    type *desti;                                                              \
-                                                                              \
-    srci     = (type *)src;                                                   \
-    srci_end = (type *)((char *)srci + size);                                 \
-    desti    = (type *)dest;                                                  \
-                                                                              \
-    while (srci != srci_end)                                                  \
-      *desti++ = *srci++;                                                     \
-  } while (0)
-
-#define glm__memset(type, dest, size, val)                                    \
-  do {                                                                        \
-    type *desti;                                                              \
-    type *desti_end;                                                          \
-                                                                              \
-    desti     = (type *)dest;                                                 \
-    desti_end = (type *)((char *)desti + size);                               \
-                                                                              \
-    while (desti != desti_end)                                                \
-      *desti++ = val;                                                         \
-  } while (0)
-
-#define glm__memzero(type, dest, size) glm__memset(type, dest, size, 0)
-
 #include "types.h"
 #include "simd/intrin.h"
 

include/cglm/curve.h

@@ -0,0 +1,40 @@
+/*
+ * Copyright (c), Recep Aslantas.
+ *
+ * MIT License (MIT), http://opensource.org/licenses/MIT
+ * Full license can be found in the LICENSE file
+ */
+
+#ifndef cglm_curve_h
+#define cglm_curve_h
+
+#include "common.h"
+#include "vec4.h"
+#include "mat4.h"
+
+/*!
+ * @brief helper function to calculate S*M*C multiplication for curves
+ *
+ * This function does not encourage you to use SMC,
+ * instead it is a helper if you use SMC.
+ *
+ * if you want to specify S as vector then use more generic glm_mat4_rmc() func.
+ *
+ * Example usage:
+ *  B(s) = glm_smc(s, GLM_BEZIER_MAT, (vec4){p0, c0, c1, p1})
+ *
+ * @param[in]  s  parameter between 0 and 1 (this will be [s3, s2, s, 1])
+ * @param[in]  m  basis matrix
+ * @param[in]  c  position/control vector
+ *
+ * @return B(s)
+ */
+CGLM_INLINE
+float
+glm_smc(float s, mat4 m, vec4 c) {
+  vec4 vs;
+  glm_vec4_cubic(s, vs);
+  return glm_mat4_rmc(vs, m, c);
+}
+
+#endif /* cglm_curve_h */

include/cglm/mat3.h

@@ -17,15 +17,19 @@
    CGLM_INLINE void  glm_mat3_copy(mat3 mat, mat3 dest);
    CGLM_INLINE void  glm_mat3_identity(mat3 mat);
    CGLM_INLINE void  glm_mat3_identity_array(mat3 * restrict mat, size_t count);
+   CGLM_INLINE void  glm_mat3_zero(mat3 mat);
    CGLM_INLINE void  glm_mat3_mul(mat3 m1, mat3 m2, mat3 dest);
    CGLM_INLINE void  glm_mat3_transpose_to(mat3 m, mat3 dest);
    CGLM_INLINE void  glm_mat3_transpose(mat3 m);
    CGLM_INLINE void  glm_mat3_mulv(mat3 m, vec3 v, vec3 dest);
+   CGLM_INLINE float glm_mat3_trace(mat3 m);
+   CGLM_INLINE void  glm_mat3_quat(mat3 m, versor dest);
    CGLM_INLINE void  glm_mat3_scale(mat3 m, float s);
    CGLM_INLINE float glm_mat3_det(mat3 mat);
    CGLM_INLINE void  glm_mat3_inv(mat3 mat, mat3 dest);
    CGLM_INLINE void  glm_mat3_swap_col(mat3 mat, int col1, int col2);
    CGLM_INLINE void  glm_mat3_swap_row(mat3 mat, int row1, int row2);
+   CGLM_INLINE float glm_mat3_rmc(vec3 r, mat3 m, vec3 c);
  */
 
 #ifndef cglm_mat3_h
@@ -62,7 +66,17 @@
 CGLM_INLINE
 void
 glm_mat3_copy(mat3 mat, mat3 dest) {
-  glm__memcpy(float, dest, mat, sizeof(mat3));
+  dest[0][0] = mat[0][0];
+  dest[0][1] = mat[0][1];
+  dest[0][2] = mat[0][2];
+
+  dest[1][0] = mat[1][0];
+  dest[1][1] = mat[1][1];
+  dest[1][2] = mat[1][2];
+
+  dest[2][0] = mat[2][0];
+  dest[2][1] = mat[2][1];
+  dest[2][2] = mat[2][2];
 }
 
 /*!
@@ -105,6 +119,18 @@ glm_mat3_identity_array(mat3 * __restrict mat, size_t count) {
   }
 }
 
+/*!
+ * @brief make given matrix zero.
+ *
+ * @param[in, out]  mat  matrix
+ */
+CGLM_INLINE
+void
+glm_mat3_zero(mat3 mat) {
+  CGLM_ALIGN_MAT mat3 t = GLM_MAT3_ZERO_INIT;
+  glm_mat3_copy(t, mat);
+}
+
 /*!
  * @brief multiply m1 and m2 to dest
  *
@@ -207,6 +233,18 @@ glm_mat3_mulv(mat3 m, vec3 v, vec3 dest) {
   dest[2] = m[0][2] * v[0] + m[1][2] * v[1] + m[2][2] * v[2];
 }
 
+/*!
+ * @brief trace of matrix
+ *
+ * sum of the elements on the main diagonal from upper left to the lower right
+ *
+ * @param[in]  m matrix
+ */
+CGLM_INLINE
+float
+glm_mat3_trace(mat3 m) {
+  return m[0][0] + m[1][1] + m[2][2];
+}
 
 /*!
  * @brief convert mat3 to quaternion
@@ -359,4 +397,26 @@ glm_mat3_swap_row(mat3 mat, int row1, int row2) {
   mat[2][row2] = tmp[2];
 }
 
+/*!
+ * @brief helper for  R (row vector) * M (matrix) * C (column vector)
+ *
+ * rmc stands for Row * Matrix * Column
+ *
+ * the result is scalar because R * M = Matrix1x3 (row vector),
+ * then Matrix1x3 * Vec3 (column vector) = Matrix1x1 (Scalar)
+ *
+ * @param[in]  r   row vector or matrix1x3
+ * @param[in]  m   matrix3x3
+ * @param[in]  c   column vector or matrix3x1
+ *
+ * @return scalar value e.g. Matrix1x1
+ */
+CGLM_INLINE
+float
+glm_mat3_rmc(vec3 r, mat3 m, vec3 c) {
+  vec3 tmp;
+  glm_mat3_mulv(m, c, tmp);
+  return glm_vec3_dot(r, tmp);
+}
+
 #endif /* cglm_mat3_h */

include/cglm/mat4.h

@@ -22,6 +22,7 @@
    CGLM_INLINE void  glm_mat4_copy(mat4 mat, mat4 dest);
    CGLM_INLINE void  glm_mat4_identity(mat4 mat);
    CGLM_INLINE void  glm_mat4_identity_array(mat4 * restrict mat, size_t count);
+   CGLM_INLINE void  glm_mat4_zero(mat4 mat);
    CGLM_INLINE void  glm_mat4_pick3(mat4 mat, mat3 dest);
    CGLM_INLINE void  glm_mat4_pick3t(mat4 mat, mat3 dest);
    CGLM_INLINE void  glm_mat4_ins3(mat3 mat, mat4 dest);
@@ -29,6 +30,9 @@
    CGLM_INLINE void  glm_mat4_mulN(mat4 *matrices[], int len, mat4 dest);
    CGLM_INLINE void  glm_mat4_mulv(mat4 m, vec4 v, vec4 dest);
    CGLM_INLINE void  glm_mat4_mulv3(mat4 m, vec3 v, vec3 dest);
+   CGLM_INLINE float glm_mat4_trace(mat4 m);
+   CGLM_INLINE float glm_mat4_trace3(mat4 m);
+   CGLM_INLINE void  glm_mat4_quat(mat4 m, versor dest) ;
    CGLM_INLINE void  glm_mat4_transpose_to(mat4 m, mat4 dest);
    CGLM_INLINE void  glm_mat4_transpose(mat4 m);
    CGLM_INLINE void  glm_mat4_scale_p(mat4 m, float s);
@@ -38,6 +42,7 @@
    CGLM_INLINE void  glm_mat4_inv_fast(mat4 mat, mat4 dest);
    CGLM_INLINE void  glm_mat4_swap_col(mat4 mat, int col1, int col2);
    CGLM_INLINE void  glm_mat4_swap_row(mat4 mat, int row1, int row2);
+   CGLM_INLINE float glm_mat4_rmc(vec4 r, mat4 m, vec4 c);
  */
 
 #ifndef cglm_mat_h
@@ -96,7 +101,15 @@
 CGLM_INLINE
 void
 glm_mat4_ucopy(mat4 mat, mat4 dest) {
-  glm__memcpy(float, dest, mat, sizeof(mat4));
+  dest[0][0] = mat[0][0];  dest[1][0] = mat[1][0];
+  dest[0][1] = mat[0][1];  dest[1][1] = mat[1][1];
+  dest[0][2] = mat[0][2];  dest[1][2] = mat[1][2];
+  dest[0][3] = mat[0][3];  dest[1][3] = mat[1][3];
+
+  dest[2][0] = mat[2][0];  dest[3][0] = mat[3][0];
+  dest[2][1] = mat[2][1];  dest[3][1] = mat[3][1];
+  dest[2][2] = mat[2][2];  dest[3][2] = mat[3][2];
+  dest[2][3] = mat[2][3];  dest[3][3] = mat[3][3];
 }
 
 /*!
@@ -116,6 +129,11 @@ glm_mat4_copy(mat4 mat, mat4 dest) {
   glmm_store(dest[1], glmm_load(mat[1]));
   glmm_store(dest[2], glmm_load(mat[2]));
   glmm_store(dest[3], glmm_load(mat[3]));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(dest[0], vld1q_f32(mat[0]));
+  vst1q_f32(dest[1], vld1q_f32(mat[1]));
+  vst1q_f32(dest[2], vld1q_f32(mat[2]));
+  vst1q_f32(dest[3], vld1q_f32(mat[3]));
 #else
   glm_mat4_ucopy(mat, dest);
 #endif
@@ -161,6 +179,18 @@ glm_mat4_identity_array(mat4 * __restrict mat, size_t count) {
   }
 }
 
+/*!
+ * @brief make given matrix zero.
+ *
+ * @param[in, out]  mat  matrix
+ */
+CGLM_INLINE
+void
+glm_mat4_zero(mat4 mat) {
+  CGLM_ALIGN_MAT mat4 t = GLM_MAT4_ZERO_INIT;
+  glm_mat4_copy(t, mat);
+}
+
 /*!
  * @brief copy upper-left of mat4 to mat3
  *
@@ -250,7 +280,7 @@ glm_mat4_mul(mat4 m1, mat4 m2, mat4 dest) {
   glm_mat4_mul_avx(m1, m2, dest);
 #elif defined( __SSE__ ) || defined( __SSE2__ )
   glm_mat4_mul_sse2(m1, m2, dest);
-#elif defined( __ARM_NEON_FP )
+#elif defined(CGLM_NEON_FP)
   glm_mat4_mul_neon(m1, m2, dest);
 #else
   float a00 = m1[0][0], a01 = m1[0][1], a02 = m1[0][2], a03 = m1[0][3],
@@ -338,6 +368,32 @@ glm_mat4_mulv(mat4 m, vec4 v, vec4 dest) {
 #endif
 }
 
+/*!
+ * @brief trace of matrix
+ *
+ * sum of the elements on the main diagonal from upper left to the lower right
+ *
+ * @param[in]  m matrix
+ */
+CGLM_INLINE
+float
+glm_mat4_trace(mat4 m) {
+  return m[0][0] + m[1][1] + m[2][2] + m[3][3];
+}
+
+/*!
+ * @brief trace of matrix (rotation part)
+ *
+ * sum of the elements on the main diagonal from upper left to the lower right
+ *
+ * @param[in]  m matrix
+ */
+CGLM_INLINE
+float
+glm_mat4_trace3(mat4 m) {
+  return m[0][0] + m[1][1] + m[2][2];
+}
+
 /*!
  * @brief convert mat4's rotation part to quaternion
  *
@@ -441,10 +497,8 @@ glm_mat4_transpose(mat4 m) {
   glm_mat4_transp_sse2(m, m);
 #else
   mat4 d;
-
   glm_mat4_transpose_to(m, d);
-
+  glm_mat4_ucopy(d, m);
-  glm__memcpy(float, m, d, sizeof(mat4));
 #endif
 }
 
@@ -478,6 +532,13 @@ void
 glm_mat4_scale(mat4 m, float s) {
 #if defined( __SSE__ ) || defined( __SSE2__ )
   glm_mat4_scale_sse2(m, s);
+#elif defined(CGLM_NEON_FP)
+  float32x4_t v0;
+  v0 = vdupq_n_f32(s);
+  vst1q_f32(m[0], vmulq_f32(vld1q_f32(m[0]), v0));
+  vst1q_f32(m[1], vmulq_f32(vld1q_f32(m[1]), v0));
+  vst1q_f32(m[2], vmulq_f32(vld1q_f32(m[2]), v0));
+  vst1q_f32(m[3], vmulq_f32(vld1q_f32(m[3]), v0));
 #else
   glm_mat4_scale_p(m, s);
 #endif
@@ -637,4 +698,26 @@ glm_mat4_swap_row(mat4 mat, int row1, int row2) {
   mat[3][row2] = tmp[3];
 }
 
+/*!
+ * @brief helper for  R (row vector) * M (matrix) * C (column vector)
+ *
+ * rmc stands for Row * Matrix * Column
+ *
+ * the result is scalar because R * M = Matrix1x4 (row vector),
+ * then Matrix1x4 * Vec4 (column vector) = Matrix1x1 (Scalar)
+ *
+ * @param[in]  r   row vector or matrix1x4
+ * @param[in]  m   matrix4x4
+ * @param[in]  c   column vector or matrix4x1
+ *
+ * @return scalar value e.g. B(s)
+ */
+CGLM_INLINE
+float
+glm_mat4_rmc(vec4 r, mat4 m, vec4 c) {
+  vec4 tmp;
+  glm_mat4_mulv(m, c, tmp);
+  return glm_vec4_dot(r, tmp);
+}
+
 #endif /* cglm_mat_h */

include/cglm/project.h

@@ -8,6 +8,7 @@
 #ifndef cglm_project_h
 #define cglm_project_h
 
+#include "common.h"
 #include "vec3.h"
 #include "vec4.h"
 #include "mat4.h"

include/cglm/quat.h

@@ -218,7 +218,7 @@ glm_quat_normalize_to(versor q, versor dest) {
   float  dot;
 
   x0   = glmm_load(q);
-  xdot = glmm_dot(x0, x0);
+  xdot = glmm_vdot(x0, x0);
   dot  = _mm_cvtss_f32(xdot);
 
   if (dot <= 0.0f) {
@@ -233,7 +233,7 @@ glm_quat_normalize_to(versor q, versor dest) {
   dot = glm_vec4_norm2(q);
 
   if (dot <= 0.0f) {
-    glm_quat_identity(q);
+    glm_quat_identity(dest);
     return;
   }
 

include/cglm/simd/arm.h

@@ -0,0 +1,41 @@
+/*
+ * Copyright (c), Recep Aslantas.
+ *
+ * MIT License (MIT), http://opensource.org/licenses/MIT
+ * Full license can be found in the LICENSE file
+ */
+
+#ifndef cglm_simd_arm_h
+#define cglm_simd_arm_h
+#include "intrin.h"
+#ifdef CGLM_SIMD_ARM
+
+#define glmm_load(p)      vld1q_f32(p)
+#define glmm_store(p, a)  vst1q_f32(p, a)
+
+static inline
+float
+glmm_hadd(float32x4_t v) {
+#if defined(__aarch64__)
+  return vaddvq_f32(v);
+#else
+  v = vaddq_f32(v, vrev64q_f32(v));
+  v = vaddq_f32(v, vcombine_f32(vget_high_f32(v), vget_low_f32(v)));
+  return vgetq_lane_f32(v, 0);
+#endif
+}
+
+static inline
+float
+glmm_dot(float32x4_t a, float32x4_t b) {
+  return glmm_hadd(vmulq_f32(a, b));
+}
+
+static inline
+float
+glmm_norm(float32x4_t a) {
+  return sqrtf(glmm_dot(a, a));
+}
+
+#endif
+#endif /* cglm_simd_arm_h */

include/cglm/simd/intrin.h

@@ -27,90 +27,64 @@
 #if defined( __SSE__ ) || defined( __SSE2__ )
 #  include <xmmintrin.h>
 #  include <emmintrin.h>
-
-/* OPTIONAL: You may save some instructions but latency (not sure) */
-#ifdef CGLM_USE_INT_DOMAIN
-#  define glmm_shuff1(xmm, z, y, x, w)                                        \
-     _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(xmm),                \
-                                        _MM_SHUFFLE(z, y, x, w)))
-#else
-#  define glmm_shuff1(xmm, z, y, x, w)                                        \
-     _mm_shuffle_ps(xmm, xmm, _MM_SHUFFLE(z, y, x, w))
-#endif
-
-#define glmm_shuff1x(xmm, x) glmm_shuff1(xmm, x, x, x, x)
-#define glmm_shuff2(a, b, z0, y0, x0, w0, z1, y1, x1, w1)                     \
-     glmm_shuff1(_mm_shuffle_ps(a, b, _MM_SHUFFLE(z0, y0, x0, w0)),           \
-                 z1, y1, x1, w1)
-
-static inline
-__m128
-glmm_dot(__m128 a, __m128 b) {
-  __m128 x0;
-  x0 = _mm_mul_ps(a, b);
-  x0 = _mm_add_ps(x0, glmm_shuff1(x0, 1, 0, 3, 2));
-  return _mm_add_ps(x0, glmm_shuff1(x0, 0, 1, 0, 1));
-}
-
-static inline
-__m128
-glmm_norm(__m128 a) {
-  return _mm_sqrt_ps(glmm_dot(a, a));
-}
-
-static inline
-__m128
-glmm_load3(float v[3]) {
-  __m128i xy;
-  __m128  z;
-
-  xy = _mm_loadl_epi64((const __m128i *)v);
-  z  = _mm_load_ss(&v[2]);
-
-  return _mm_movelh_ps(_mm_castsi128_ps(xy), z);
-}
-
-static inline
-void
-glmm_store3(__m128 vx, float v[3]) {
-  _mm_storel_pi((__m64 *)&v[0], vx);
-  _mm_store_ss(&v[2], glmm_shuff1(vx, 2, 2, 2, 2));
-}
-
-#ifdef CGLM_ALL_UNALIGNED
-#  define glmm_load(p)      _mm_loadu_ps(p)
-#  define glmm_store(p, a)  _mm_storeu_ps(p, a)
-#else
-#  define glmm_load(p)      _mm_load_ps(p)
-#  define glmm_store(p, a)  _mm_store_ps(p, a)
-#endif
-
-#endif
-
-/* x86, x64 */
-#if defined( __SSE__ ) || defined( __SSE2__ )
 #  define CGLM_SSE_FP 1
+#  ifndef CGLM_SIMD_x86
+#    define CGLM_SIMD_x86
+#  endif
+#endif
+
+#if defined(__SSE3__)
+#  include <x86intrin.h>
+#  ifndef CGLM_SIMD_x86
+#    define CGLM_SIMD_x86
+#  endif
+#endif
+
+#if defined(__SSE4_1__)
+#  include <smmintrin.h>
+#  ifndef CGLM_SIMD_x86
+#    define CGLM_SIMD_x86
+#  endif
+#endif
+
+#if defined(__SSE4_2__)
+#  include <nmmintrin.h>
+#  ifndef CGLM_SIMD_x86
+#    define CGLM_SIMD_x86
+#  endif
 #endif
 
 #ifdef __AVX__
+#  include <immintrin.h>
 #  define CGLM_AVX_FP 1
-
+#  ifndef CGLM_SIMD_x86
-#ifdef CGLM_ALL_UNALIGNED
+#    define CGLM_SIMD_x86
-#  define glmm_load256(p)      _mm256_loadu_ps(p)
+#  endif
-#  define glmm_store256(p, a)  _mm256_storeu_ps(p, a)
-#else
-#  define glmm_load256(p)      _mm256_load_ps(p)
-#  define glmm_store256(p, a)  _mm256_store_ps(p, a)
-#endif
-
 #endif
 
 /* ARM Neon */
-#if defined(__ARM_NEON) && defined(__ARM_NEON_FP)
+#if defined(__ARM_NEON)
 #  include <arm_neon.h>
-#  define CGLM_NEON_FP 1
+#  if defined(__ARM_NEON_FP)
-#else
+#    define CGLM_NEON_FP 1
-#  undef  CGLM_NEON_FP
+#    ifndef CGLM_SIMD_ARM
+#      define CGLM_SIMD_ARM
+#    endif
+#  endif
+#endif
+
+#if defined(CGLM_SIMD_x86) || defined(CGLM_NEON_FP)
+#  ifndef CGLM_SIMD
+#    define CGLM_SIMD
+#  endif
+#endif
+
+#if defined(CGLM_SIMD_x86)
+#  include "x86.h"
+#endif
+
+#if defined(CGLM_SIMD_ARM)
+#  include "arm.h"
 #endif
 
 #endif /* cglm_intrin_h */

include/cglm/simd/x86.h

@@ -0,0 +1,136 @@
+/*
+ * Copyright (c), Recep Aslantas.
+ *
+ * MIT License (MIT), http://opensource.org/licenses/MIT
+ * Full license can be found in the LICENSE file
+ */
+
+#ifndef cglm_simd_x86_h
+#define cglm_simd_x86_h
+#include "intrin.h"
+#ifdef CGLM_SIMD_x86
+
+#ifdef CGLM_ALL_UNALIGNED
+#  define glmm_load(p)      _mm_loadu_ps(p)
+#  define glmm_store(p, a)  _mm_storeu_ps(p, a)
+#else
+#  define glmm_load(p)      _mm_load_ps(p)
+#  define glmm_store(p, a)  _mm_store_ps(p, a)
+#endif
+
+#ifdef CGLM_USE_INT_DOMAIN
+#  define glmm_shuff1(xmm, z, y, x, w)                                        \
+     _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(xmm),                \
+                                        _MM_SHUFFLE(z, y, x, w)))
+#else
+#  define glmm_shuff1(xmm, z, y, x, w)                                        \
+       _mm_shuffle_ps(xmm, xmm, _MM_SHUFFLE(z, y, x, w))
+#endif
+
+#define glmm_shuff1x(xmm, x) glmm_shuff1(xmm, x, x, x, x)
+#define glmm_shuff2(a, b, z0, y0, x0, w0, z1, y1, x1, w1)                     \
+     glmm_shuff1(_mm_shuffle_ps(a, b, _MM_SHUFFLE(z0, y0, x0, w0)),           \
+                 z1, y1, x1, w1)
+
+#ifdef __AVX__
+#  ifdef CGLM_ALL_UNALIGNED
+#    define glmm_load256(p)      _mm256_loadu_ps(p)
+#    define glmm_store256(p, a)  _mm256_storeu_ps(p, a)
+#  else
+#    define glmm_load256(p)      _mm256_load_ps(p)
+#    define glmm_store256(p, a)  _mm256_store_ps(p, a)
+#  endif
+#endif
+
+static inline
+__m128
+glmm_vhadds(__m128 v) {
+#if defined(__SSE3__)
+  __m128 shuf, sums;
+  shuf = _mm_movehdup_ps(v);
+  sums = _mm_add_ps(v, shuf);
+  shuf = _mm_movehl_ps(shuf, sums);
+  sums = _mm_add_ss(sums, shuf);
+  return sums;
+#else
+  __m128 shuf, sums;
+  shuf = glmm_shuff1(v, 2, 3, 0, 1);
+  sums = _mm_add_ps(v, shuf);
+  shuf = _mm_movehl_ps(shuf, sums);
+  sums = _mm_add_ss(sums, shuf);
+  return sums;
+#endif
+}
+
+static inline
+float
+glmm_hadd(__m128 v) {
+  return _mm_cvtss_f32(glmm_vhadds(v));
+}
+
+static inline
+__m128
+glmm_vdots(__m128 a, __m128 b) {
+#if (defined(__SSE4_1__) || defined(__SSE4_2__)) && defined(CGLM_SSE4_DOT)
+  return _mm_dp_ps(a, b, 0xFF);
+#elif defined(__SSE3__) && defined(CGLM_SSE3_DOT)
+  __m128 x0, x1;
+  x0 = _mm_mul_ps(a, b);
+  x1 = _mm_hadd_ps(x0, x0);
+  return _mm_hadd_ps(x1, x1);
+#else
+  return glmm_vhadds(_mm_mul_ps(a, b));
+#endif
+}
+
+static inline
+__m128
+glmm_vdot(__m128 a, __m128 b) {
+#if (defined(__SSE4_1__) || defined(__SSE4_2__)) && defined(CGLM_SSE4_DOT)
+  return _mm_dp_ps(a, b, 0xFF);
+#elif defined(__SSE3__) && defined(CGLM_SSE3_DOT)
+  __m128 x0, x1;
+  x0 = _mm_mul_ps(a, b);
+  x1 = _mm_hadd_ps(x0, x0);
+  return _mm_hadd_ps(x1, x1);
+#else
+  __m128 x0;
+  x0 = _mm_mul_ps(a, b);
+  x0 = _mm_add_ps(x0, glmm_shuff1(x0, 1, 0, 3, 2));
+  return _mm_add_ps(x0, glmm_shuff1(x0, 0, 1, 0, 1));
+#endif
+}
+
+static inline
+float
+glmm_dot(__m128 a, __m128 b) {
+  return _mm_cvtss_f32(glmm_vdots(a, b));
+}
+
+static inline
+float
+glmm_norm(__m128 a) {
+  return _mm_cvtss_f32(_mm_sqrt_ss(glmm_vhadds(_mm_mul_ps(a, a))));
+}
+
+static inline
+__m128
+glmm_load3(float v[3]) {
+  __m128i xy;
+  __m128  z;
+
+  xy = _mm_loadl_epi64((const __m128i *)v);
+  z  = _mm_load_ss(&v[2]);
+
+  return _mm_movelh_ps(_mm_castsi128_ps(xy), z);
+}
+
+static inline
+void
+glmm_store3(__m128 vx, float v[3]) {
+  _mm_storel_pi((__m64 *)&v[0], vx);
+  _mm_store_ss(&v[2], glmm_shuff1(vx, 2, 2, 2, 2));
+}
+
+#endif
+#endif /* cglm_simd_x86_h */

include/cglm/types.h

@@ -10,12 +10,12 @@
 
 #if defined(_MSC_VER)
 /* do not use alignment for older visual studio versions */
-#if _MSC_VER < 1913 /*  Visual Studio 2017 version 15.6  */
+#  if _MSC_VER < 1913 /*  Visual Studio 2017 version 15.6  */
-#  define CGLM_ALL_UNALIGNED
+#    define CGLM_ALL_UNALIGNED
-#  define CGLM_ALIGN(X) /* no alignment */
+#    define CGLM_ALIGN(X) /* no alignment */
-#else
+#  else
-#  define CGLM_ALIGN(X) __declspec(align(X))
+#    define CGLM_ALIGN(X) __declspec(align(X))
-#endif
+#  endif
 #else
 #  define CGLM_ALIGN(X) __attribute((aligned(X)))
 #endif
@@ -33,20 +33,18 @@
 #endif
 
 typedef float                   vec2[2];
-typedef CGLM_ALIGN_IF(8)  float vec3[3];
+typedef float                   vec3[3];
 typedef int                    ivec3[3];
 typedef CGLM_ALIGN_IF(16) float vec4[4];
+typedef vec4                    versor;
+typedef vec3                    mat3[3];
 
 #ifdef __AVX__
-typedef CGLM_ALIGN_IF(32) vec3  mat3[3];
 typedef CGLM_ALIGN_IF(32) vec4  mat4[4];
 #else
-typedef                   vec3  mat3[3];
 typedef CGLM_ALIGN_IF(16) vec4  mat4[4];
 #endif
 
-typedef vec4                    versor;
-
 #define GLM_E         2.71828182845904523536028747135266250   /* e           */
 #define GLM_LOG2E     1.44269504088896340735992468100189214   /* log2(e)     */
 #define GLM_LOG10E    0.434294481903251827651128918916605082  /* log10(e)    */

include/cglm/util.h

@@ -19,7 +19,6 @@
 #define cglm_util_h
 
 #include "common.h"
-#include <stdbool.h>
 
 #define GLM_MIN(X, Y) (((X) < (Y)) ? (X) : (Y))
 #define GLM_MAX(X, Y) (((X) > (Y)) ? (X) : (Y))

include/cglm/vec3-ext.h

@@ -31,9 +31,6 @@
 
 #include "common.h"
 #include "util.h"
-#include <stdbool.h>
-#include <math.h>
-#include <float.h>
 
 /*!
  * @brief fill a vector with specified value

include/cglm/vec3.h

@@ -21,7 +21,6 @@
    CGLM_INLINE void  glm_vec3_zero(vec3 v);
    CGLM_INLINE void  glm_vec3_one(vec3 v);
    CGLM_INLINE float glm_vec3_dot(vec3 a, vec3 b);
-   CGLM_INLINE void  glm_vec3_cross(vec3 a, vec3 b, vec3 d);
    CGLM_INLINE float glm_vec3_norm2(vec3 v);
    CGLM_INLINE float glm_vec3_norm(vec3 v);
    CGLM_INLINE void  glm_vec3_add(vec3 a, vec3 b, vec3 dest);
@@ -47,6 +46,8 @@
    CGLM_INLINE void  glm_vec3_inv_to(vec3 v, vec3 dest);
    CGLM_INLINE void  glm_vec3_normalize(vec3 v);
    CGLM_INLINE void  glm_vec3_normalize_to(vec3 v, vec3 dest);
+   CGLM_INLINE void  glm_vec3_cross(vec3 a, vec3 b, vec3 d);
+   CGLM_INLINE void  glm_vec3_crossn(vec3 a, vec3 b, vec3 dest);
    CGLM_INLINE float glm_vec3_distance(vec3 a, vec3 b);
    CGLM_INLINE float glm_vec3_angle(vec3 a, vec3 b);
    CGLM_INLINE void  glm_vec3_rotate(vec3 v, float angle, vec3 axis);
@@ -166,22 +167,6 @@ glm_vec3_dot(vec3 a, vec3 b) {
   return a[0] * b[0] + a[1] * b[1] + a[2] * b[2];
 }
 
-/*!
- * @brief vec3 cross product
- *
- * @param[in]  a source 1
- * @param[in]  b source 2
- * @param[out] d destination
- */
-CGLM_INLINE
-void
-glm_vec3_cross(vec3 a, vec3 b, vec3 d) {
-  /* (u2.v3 - u3.v2, u3.v1 - u1.v3, u1.v2 - u2.v1) */
-  d[0] = a[1] * b[2] - a[2] * b[1];
-  d[1] = a[2] * b[0] - a[0] * b[2];
-  d[2] = a[0] * b[1] - a[1] * b[0];
-}
-
 /*!
  * @brief norm * norm (magnitude) of vec
  *
@@ -443,8 +428,8 @@ glm_vec3_maxadd(vec3 a, vec3 b, vec3 dest) {
  *
  * it applies += operator so dest must be initialized
  *
- * @param[in]  a    vector
+ * @param[in]  a    vector 1
- * @param[in]  s    scalar
+ * @param[in]  b    vector 2
  * @param[out] dest dest += min(a, b)
  */
 CGLM_INLINE
@@ -521,6 +506,36 @@ glm_vec3_normalize_to(vec3 v, vec3 dest) {
   glm_vec3_scale(v, 1.0f / norm, dest);
 }
 
+/*!
+ * @brief cross product of two vector (RH)
+ *
+ * @param[in]  a    vector 1
+ * @param[in]  b    vector 2
+ * @param[out] dest destination
+ */
+CGLM_INLINE
+void
+glm_vec3_cross(vec3 a, vec3 b, vec3 dest) {
+  /* (u2.v3 - u3.v2, u3.v1 - u1.v3, u1.v2 - u2.v1) */
+  dest[0] = a[1] * b[2] - a[2] * b[1];
+  dest[1] = a[2] * b[0] - a[0] * b[2];
+  dest[2] = a[0] * b[1] - a[1] * b[0];
+}
+
+/*!
+ * @brief cross product of two vector (RH) and normalize the result
+ *
+ * @param[in]  a    vector 1
+ * @param[in]  b    vector 2
+ * @param[out] dest destination
+ */
+CGLM_INLINE
+void
+glm_vec3_crossn(vec3 a, vec3 b, vec3 dest) {
+  glm_vec3_cross(a, b, dest);
+  glm_vec3_normalize(dest);
+}
+
 /*!
  * @brief angle betwen two vector
  *

include/cglm/vec4-ext.h

@@ -31,9 +31,6 @@
 
 #include "common.h"
 #include "vec3-ext.h"
-#include <stdbool.h>
-#include <math.h>
-#include <float.h>
 
 /*!
  * @brief fill a vector with specified value

include/cglm/vec4.h

@@ -122,6 +122,8 @@ void
 glm_vec4_copy(vec4 v, vec4 dest) {
 #if defined( __SSE__ ) || defined( __SSE2__ )
   glmm_store(dest, glmm_load(v));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(dest, vld1q_f32(v));
 #else
   dest[0] = v[0];
   dest[1] = v[1];
@@ -157,6 +159,8 @@ void
 glm_vec4_zero(vec4 v) {
 #if defined( __SSE__ ) || defined( __SSE2__ )
   glmm_store(v, _mm_setzero_ps());
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(v, vdupq_n_f32(0.0f));
 #else
   v[0] = 0.0f;
   v[1] = 0.0f;
@@ -175,6 +179,8 @@ void
 glm_vec4_one(vec4 v) {
 #if defined( __SSE__ ) || defined( __SSE2__ )
   glmm_store(v, _mm_set1_ps(1.0f));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(v, vdupq_n_f32(1.0f));
 #else
   v[0] = 1.0f;
   v[1] = 1.0f;
@@ -194,11 +200,8 @@ glm_vec4_one(vec4 v) {
 CGLM_INLINE
 float
 glm_vec4_dot(vec4 a, vec4 b) {
-#if defined( __SSE__ ) || defined( __SSE2__ )
+#if defined(CGLM_SIMD)
-  __m128 x0;
+  return glmm_dot(glmm_load(a), glmm_load(b));
-  x0 = _mm_mul_ps(glmm_load(a), glmm_load(b));
-  x0 = _mm_add_ps(x0, glmm_shuff1(x0, 1, 0, 3, 2));
-  return _mm_cvtss_f32(_mm_add_ss(x0, glmm_shuff1(x0, 0, 1, 0, 1)));
 #else
   return a[0] * b[0] + a[1] * b[1] + a[2] * b[2] + a[3] * b[3];
 #endif
@@ -218,15 +221,7 @@ glm_vec4_dot(vec4 a, vec4 b) {
 CGLM_INLINE
 float
 glm_vec4_norm2(vec4 v) {
-#if defined( __SSE__ ) || defined( __SSE2__ )
+  return glm_vec4_dot(v, v);
-  __m128 x0;
-  x0 = glmm_load(v);
-  x0 = _mm_mul_ps(x0, x0);
-  x0 = _mm_add_ps(x0, glmm_shuff1(x0, 1, 0, 3, 2));
-  return _mm_cvtss_f32(_mm_add_ss(x0, glmm_shuff1(x0, 0, 1, 0, 1)));
-#else
-  return v[0] * v[0] + v[1] * v[1] + v[2] * v[2] + v[3] * v[3];
-#endif
 }
 
 /*!
@@ -239,12 +234,10 @@ glm_vec4_norm2(vec4 v) {
 CGLM_INLINE
 float
 glm_vec4_norm(vec4 v) {
-#if defined( __SSE__ ) || defined( __SSE2__ )
+#if defined(CGLM_SIMD)
-  __m128 x0;
+  return glmm_norm(glmm_load(v));
-  x0 = glmm_load(v);
-  return _mm_cvtss_f32(_mm_sqrt_ss(glmm_dot(x0, x0)));
 #else
-  return sqrtf(glm_vec4_norm2(v));
+  return sqrtf(glm_vec4_dot(v, v));
 #endif
 }
 
@@ -260,6 +253,8 @@ void
 glm_vec4_add(vec4 a, vec4 b, vec4 dest) {
 #if defined( __SSE__ ) || defined( __SSE2__ )
   glmm_store(dest, _mm_add_ps(glmm_load(a), glmm_load(b)));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(dest, vaddq_f32(vld1q_f32(a), vld1q_f32(b)));
 #else
   dest[0] = a[0] + b[0];
   dest[1] = a[1] + b[1];
@@ -280,6 +275,8 @@ void
 glm_vec4_adds(vec4 v, float s, vec4 dest) {
 #if defined( __SSE__ ) || defined( __SSE2__ )
   glmm_store(dest, _mm_add_ps(glmm_load(v), _mm_set1_ps(s)));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(dest, vaddq_f32(vld1q_f32(v), vdupq_n_f32(s)));
 #else
   dest[0] = v[0] + s;
   dest[1] = v[1] + s;
@@ -300,6 +297,8 @@ void
 glm_vec4_sub(vec4 a, vec4 b, vec4 dest) {
 #if defined( __SSE__ ) || defined( __SSE2__ )
   glmm_store(dest, _mm_sub_ps(glmm_load(a), glmm_load(b)));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(dest, vsubq_f32(vld1q_f32(a), vld1q_f32(b)));
 #else
   dest[0] = a[0] - b[0];
   dest[1] = a[1] - b[1];
@@ -320,6 +319,8 @@ void
 glm_vec4_subs(vec4 v, float s, vec4 dest) {
 #if defined( __SSE__ ) || defined( __SSE2__ )
   glmm_store(dest, _mm_sub_ps(glmm_load(v), _mm_set1_ps(s)));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(dest, vsubq_f32(vld1q_f32(v), vdupq_n_f32(s)));
 #else
   dest[0] = v[0] - s;
   dest[1] = v[1] - s;
@@ -331,15 +332,17 @@ glm_vec4_subs(vec4 v, float s, vec4 dest) {
 /*!
  * @brief multiply two vector (component-wise multiplication)
  *
- * @param a vector1
+ * @param a    vector1
- * @param b vector2
+ * @param b    vector2
- * @param d dest = (a[0] * b[0], a[1] * b[1], a[2] * b[2], a[3] * b[3])
+ * @param dest dest = (a[0] * b[0], a[1] * b[1], a[2] * b[2], a[3] * b[3])
  */
 CGLM_INLINE
 void
 glm_vec4_mul(vec4 a, vec4 b, vec4 dest) {
 #if defined( __SSE__ ) || defined( __SSE2__ )
   glmm_store(dest, _mm_mul_ps(glmm_load(a), glmm_load(b)));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(dest, vmulq_f32(vld1q_f32(a), vld1q_f32(b)));
 #else
   dest[0] = a[0] * b[0];
   dest[1] = a[1] * b[1];
@@ -360,6 +363,8 @@ void
 glm_vec4_scale(vec4 v, float s, vec4 dest) {
 #if defined( __SSE__ ) || defined( __SSE2__ )
   glmm_store(dest, _mm_mul_ps(glmm_load(v), _mm_set1_ps(s)));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(dest, vmulq_f32(vld1q_f32(v), vdupq_n_f32(s)));
 #else
   dest[0] = v[0] * s;
   dest[1] = v[1] * s;
@@ -426,7 +431,6 @@ glm_vec4_divs(vec4 v, float s, vec4 dest) {
 #endif
 }
 
-
 /*!
  * @brief add two vectors and add result to sum
  *
@@ -443,6 +447,10 @@ glm_vec4_addadd(vec4 a, vec4 b, vec4 dest) {
   glmm_store(dest, _mm_add_ps(glmm_load(dest),
                               _mm_add_ps(glmm_load(a),
                                          glmm_load(b))));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(dest, vaddq_f32(vld1q_f32(dest),
+                            vaddq_f32(vld1q_f32(a),
+                                      vld1q_f32(b))));
 #else
   dest[0] += a[0] + b[0];
   dest[1] += a[1] + b[1];
@@ -467,6 +475,10 @@ glm_vec4_subadd(vec4 a, vec4 b, vec4 dest) {
   glmm_store(dest, _mm_add_ps(glmm_load(dest),
                               _mm_sub_ps(glmm_load(a),
                                          glmm_load(b))));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(dest, vaddq_f32(vld1q_f32(dest),
+                            vsubq_f32(vld1q_f32(a),
+                                      vld1q_f32(b))));
 #else
   dest[0] += a[0] - b[0];
   dest[1] += a[1] - b[1];
@@ -491,6 +503,10 @@ glm_vec4_muladd(vec4 a, vec4 b, vec4 dest) {
   glmm_store(dest, _mm_add_ps(glmm_load(dest),
                               _mm_mul_ps(glmm_load(a),
                                          glmm_load(b))));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(dest, vaddq_f32(vld1q_f32(dest),
+                            vmulq_f32(vld1q_f32(a),
+                                      vld1q_f32(b))));
 #else
   dest[0] += a[0] * b[0];
   dest[1] += a[1] * b[1];
@@ -515,6 +531,10 @@ glm_vec4_muladds(vec4 a, float s, vec4 dest) {
   glmm_store(dest, _mm_add_ps(glmm_load(dest),
                               _mm_mul_ps(glmm_load(a),
                                          _mm_set1_ps(s))));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(dest, vaddq_f32(vld1q_f32(dest),
+                            vsubq_f32(vld1q_f32(a),
+                                      vdupq_n_f32(s))));
 #else
   dest[0] += a[0] * s;
   dest[1] += a[1] * s;
@@ -539,6 +559,10 @@ glm_vec4_maxadd(vec4 a, vec4 b, vec4 dest) {
   glmm_store(dest, _mm_add_ps(glmm_load(dest),
                               _mm_max_ps(glmm_load(a),
                                          glmm_load(b))));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(dest, vaddq_f32(vld1q_f32(dest),
+                            vmaxq_f32(vld1q_f32(a),
+                                      vld1q_f32(b))));
 #else
   dest[0] += glm_max(a[0], b[0]);
   dest[1] += glm_max(a[1], b[1]);
@@ -552,8 +576,8 @@ glm_vec4_maxadd(vec4 a, vec4 b, vec4 dest) {
  *
  * it applies += operator so dest must be initialized
  *
- * @param[in]  a    vector
+ * @param[in]  a    vector 1
- * @param[in]  s    scalar
+ * @param[in]  b    vector 2
  * @param[out] dest dest += min(a, b)
  */
 CGLM_INLINE
@@ -563,6 +587,10 @@ glm_vec4_minadd(vec4 a, vec4 b, vec4 dest) {
   glmm_store(dest, _mm_add_ps(glmm_load(dest),
                               _mm_min_ps(glmm_load(a),
                                          glmm_load(b))));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(dest, vaddq_f32(vld1q_f32(dest),
+                            vminq_f32(vld1q_f32(a),
+                                      vld1q_f32(b))));
 #else
   dest[0] += glm_min(a[0], b[0]);
   dest[1] += glm_min(a[1], b[1]);
@@ -582,6 +610,8 @@ void
 glm_vec4_negate_to(vec4 v, vec4 dest) {
 #if defined( __SSE__ ) || defined( __SSE2__ )
   glmm_store(dest, _mm_xor_ps(glmm_load(v), _mm_set1_ps(-0.0f)));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(dest, veorq_s32(vld1q_f32(v), vdupq_n_f32(-0.0f)));
 #else
   dest[0] = -v[0];
   dest[1] = -v[1];
@@ -615,7 +645,7 @@ glm_vec4_normalize_to(vec4 v, vec4 dest) {
   float  dot;
 
   x0   = glmm_load(v);
-  xdot = glmm_dot(x0, x0);
+  xdot = glmm_vdot(x0, x0);
   dot  = _mm_cvtss_f32(xdot);
 
   if (dot == 0.0f) {
@@ -659,10 +689,16 @@ glm_vec4_normalize(vec4 v) {
 CGLM_INLINE
 float
 glm_vec4_distance(vec4 a, vec4 b) {
+#if defined( __SSE__ ) || defined( __SSE2__ )
+  return glmm_norm(_mm_sub_ps(glmm_load(b), glmm_load(a)));
+#elif defined(CGLM_NEON_FP)
+  return glmm_norm(vsubq_f32(glmm_load(a), glmm_load(b)));
+#else
   return sqrtf(glm_pow2(b[0] - a[0])
              + glm_pow2(b[1] - a[1])
              + glm_pow2(b[2] - a[2])
              + glm_pow2(b[3] - a[3]));
+#endif
 }
 
 /*!
@@ -677,6 +713,8 @@ void
 glm_vec4_maxv(vec4 a, vec4 b, vec4 dest) {
 #if defined( __SSE__ ) || defined( __SSE2__ )
   glmm_store(dest, _mm_max_ps(glmm_load(a), glmm_load(b)));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(dest, vmaxq_f32(vld1q_f32(a), vld1q_f32(b)));
 #else
   dest[0] = glm_max(a[0], b[0]);
   dest[1] = glm_max(a[1], b[1]);
@@ -697,6 +735,8 @@ void
 glm_vec4_minv(vec4 a, vec4 b, vec4 dest) {
 #if defined( __SSE__ ) || defined( __SSE2__ )
   glmm_store(dest, _mm_min_ps(glmm_load(a), glmm_load(b)));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(dest, vminq_f32(vld1q_f32(a), vld1q_f32(b)));
 #else
   dest[0] = glm_min(a[0], b[0]);
   dest[1] = glm_min(a[1], b[1]);
@@ -718,6 +758,9 @@ glm_vec4_clamp(vec4 v, float minVal, float maxVal) {
 #if defined( __SSE__ ) || defined( __SSE2__ )
   glmm_store(v, _mm_min_ps(_mm_max_ps(glmm_load(v), _mm_set1_ps(minVal)),
                            _mm_set1_ps(maxVal)));
+#elif defined(CGLM_NEON_FP)
+  vst1q_f32(v, vminq_f32(vmaxq_f32(vld1q_f32(v), vdupq_n_f32(minVal)),
+                         vdupq_n_f32(maxVal)));
 #else
   v[0] = glm_clamp(v[0], minVal, maxVal);
   v[1] = glm_clamp(v[1], minVal, maxVal);
@@ -748,4 +791,23 @@ glm_vec4_lerp(vec4 from, vec4 to, float t, vec4 dest) {
   glm_vec4_add(from, v, dest);
 }
 
+/*!
+ * @brief helper to fill vec4 as [S^3, S^2, S, 1]
+ *
+ * @param[in]   s    parameter
+ * @param[out]  dest destination
+ */
+CGLM_INLINE
+void
+glm_vec4_cubic(float s, vec4 dest) {
+  float ss;
+
+  ss = s * s;
+
+  dest[0] = ss * s;
+  dest[1] = ss;
+  dest[2] = s;
+  dest[3] = 1.0f;
+}
+
 #endif /* cglm_vec4_h */

include/cglm/version.h

@@ -10,6 +10,6 @@
 
 #define CGLM_VERSION_MAJOR 0
 #define CGLM_VERSION_MINOR 5
-#define CGLM_VERSION_PATCH 0
+#define CGLM_VERSION_PATCH 4
 
 #endif /* cglm_version_h */

makefile.am

@@ -34,30 +34,32 @@ test_tests_CFLAGS  = $(checkCFLAGS)
 
 cglmdir=$(includedir)/cglm
 cglm_HEADERS = include/cglm/version.h \
-                  include/cglm/cglm.h \
+               include/cglm/cglm.h \
-                  include/cglm/call.h \
+               include/cglm/call.h \
-                  include/cglm/cam.h \
+               include/cglm/cam.h \
-                  include/cglm/io.h \
+               include/cglm/io.h \
-                  include/cglm/mat4.h \
+               include/cglm/mat4.h \
-                  include/cglm/mat3.h \
+               include/cglm/mat3.h \
-                  include/cglm/types.h \
+               include/cglm/types.h \
-                  include/cglm/common.h \
+               include/cglm/common.h \
-                  include/cglm/affine.h \
+               include/cglm/affine.h \
-                  include/cglm/vec3.h \
+               include/cglm/vec3.h \
-                  include/cglm/vec3-ext.h \
+               include/cglm/vec3-ext.h \
-                  include/cglm/vec4.h \
+               include/cglm/vec4.h \
-                  include/cglm/vec4-ext.h \
+               include/cglm/vec4-ext.h \
-                  include/cglm/euler.h \
+               include/cglm/euler.h \
-                  include/cglm/util.h \
+               include/cglm/util.h \
-                  include/cglm/quat.h \
+               include/cglm/quat.h \
-                  include/cglm/affine-mat.h \
+               include/cglm/affine-mat.h \
-                  include/cglm/plane.h \
+               include/cglm/plane.h \
-                  include/cglm/frustum.h \
+               include/cglm/frustum.h \
-                  include/cglm/box.h \
+               include/cglm/box.h \
-                  include/cglm/color.h \
+               include/cglm/color.h \
-                  include/cglm/project.h \
+               include/cglm/project.h \
-                  include/cglm/sphere.h \
+               include/cglm/sphere.h \
-                  include/cglm/ease.h
+               include/cglm/ease.h \
+               include/cglm/curve.h \
+               include/cglm/bezier.h
 
 cglm_calldir=$(includedir)/cglm/call
 cglm_call_HEADERS = include/cglm/call/mat4.h \
@@ -74,10 +76,14 @@ cglm_call_HEADERS = include/cglm/call/mat4.h \
                     include/cglm/call/box.h \
                     include/cglm/call/project.h \
                     include/cglm/call/sphere.h \
-                    include/cglm/call/ease.h
+                    include/cglm/call/ease.h \
+                    include/cglm/call/curve.h \
+                    include/cglm/call/bezier.h
 
 cglm_simddir=$(includedir)/cglm/simd
-cglm_simd_HEADERS = include/cglm/simd/intrin.h
+cglm_simd_HEADERS = include/cglm/simd/intrin.h \
+                    include/cglm/simd/x86.h \
+                    include/cglm/simd/arm.h
 
 cglm_simd_sse2dir=$(includedir)/cglm/simd/sse2
 cglm_simd_sse2_HEADERS = include/cglm/simd/sse2/affine.h \
@@ -107,7 +113,9 @@ libcglm_la_SOURCES=\
     src/box.c \
     src/project.c \
     src/sphere.c \
-    src/ease.c
+    src/ease.c \
+    src/curve.c \
+    src/bezier.c
 
 test_tests_SOURCES=\
     test/src/test_common.c \
@@ -121,7 +129,8 @@ test_tests_SOURCES=\
     test/src/test_vec4.c \
     test/src/test_vec3.c \
     test/src/test_mat3.c \
-    test/src/test_affine.c
+    test/src/test_affine.c \
+    test/src/test_bezier.c
 
 all-local:
 	sh ./post-build.sh

post-build.sh

@@ -8,12 +8,17 @@
 
 cd $(dirname "$0")
 
-mkdir -p .libs
+mkdir -p "$(pwd)/.libs"
+
+libmocka_folder=$(pwd)/test/lib/cmocka/build/src/
 
 if [ "$(uname)" = "Darwin" ]; then
-  ln -sf $(pwd)/test/lib/cmocka/build/src/libcmocka.0.dylib \
+  libcmocka=libcmocka.0.dylib
-      .libs/libcmocka.0.dylib;
 else
-  ln -sf $(pwd)/test/lib/cmocka/build/src/libcmocka.so.0 \
+  libcmocka=libcmocka.so.0
-      .libs/libcmocka.so.0;
+fi
+
+libcmocka_path="$libmocka_folder$libcmocka"
+if [ -f "$libcmocka_path" ]; then
+  ln -sf "$libcmocka_path" "$(pwd)/.libs/$libcmocka";
 fi

src/bezier.c

@@ -0,0 +1,27 @@
+/*
+ * Copyright (c), Recep Aslantas.
+ *
+ * MIT License (MIT), http://opensource.org/licenses/MIT
+ * Full license can be found in the LICENSE file
+ */
+
+#include "../include/cglm/cglm.h"
+#include "../include/cglm/call.h"
+
+CGLM_EXPORT
+float
+glmc_bezier(float s, float p0, float c0, float c1, float p1) {
+  return glm_bezier(s, p0, c0, c1, p1);
+}
+
+CGLM_EXPORT
+float
+glmc_hermite(float s, float p0, float t0, float t1, float p1) {
+  return glm_hermite(s, p0, t0, t1, p1);
+}
+
+CGLM_EXPORT
+float
+glmc_decasteljau(float prm, float p0, float c0, float c1, float p1) {
+  return glm_decasteljau(prm, p0, c0, c1, p1);
+}

src/cam.c

@@ -88,6 +88,12 @@ glmc_perspective(float fovy,
                   dest);
 }
 
+CGLM_EXPORT
+void
+glmc_persp_move_far(mat4 proj, float deltaFar) {
+  glm_persp_move_far(proj, deltaFar);
+}
+
 CGLM_EXPORT
 void
 glmc_perspective_default(float aspect, mat4 dest) {

src/curve.c

@@ -0,0 +1,15 @@
+/*
+ * Copyright (c), Recep Aslantas.
+ *
+ * MIT License (MIT), http://opensource.org/licenses/MIT
+ * Full license can be found in the LICENSE file
+ */
+
+#include "../include/cglm/cglm.h"
+#include "../include/cglm/call.h"
+
+CGLM_EXPORT
+float
+glmc_smc(float s, mat4 m, vec4 c) {
+  return glm_smc(s, m, c);
+}

src/mat3.c

@@ -50,6 +50,12 @@ glmc_mat3_mulv(mat3 m, vec3 v, vec3 dest) {
   glm_mat3_mulv(m, v, dest);
 }
 
+CGLM_EXPORT
+float
+glmc_mat3_trace(mat3 m) {
+  return glm_mat3_trace(m);
+}
+
 CGLM_EXPORT
 void
 glmc_mat3_quat(mat3 m, versor dest) {
@@ -85,3 +91,9 @@ void
 glmc_mat3_swap_row(mat3 mat, int row1, int row2) {
   glm_mat3_swap_row(mat, row1, row2);
 }
+
+CGLM_EXPORT
+float
+glmc_mat3_rmc(vec3 r, mat3 m, vec3 c) {
+  return glm_mat3_rmc(r, m, c);
+}

src/mat4.c

@@ -74,6 +74,18 @@ glmc_mat4_mulv3(mat4 m, vec3 v, float last, vec3 dest) {
   glm_mat4_mulv3(m, v, last, dest);
 }
 
+CGLM_EXPORT
+float
+glmc_mat4_trace(mat4 m) {
+  return glm_mat4_trace(m);
+}
+
+CGLM_EXPORT
+float
+glmc_mat4_trace3(mat4 m) {
+  return glm_mat4_trace3(m);
+}
+
 CGLM_EXPORT
 void
 glmc_mat4_quat(mat4 m, versor dest) {
@@ -139,3 +151,9 @@ void
 glmc_mat4_swap_row(mat4 mat, int row1, int row2) {
   glm_mat4_swap_row(mat, row1, row2);
 }
+
+CGLM_EXPORT
+float
+glmc_mat4_rmc(vec4 r, mat4 m, vec4 c) {
+  return glm_mat4_rmc(r, m, c);
+}

src/vec3.c

@@ -40,8 +40,14 @@ glmc_vec3_dot(vec3 a, vec3 b) {
 
 CGLM_EXPORT
 void
-glmc_vec3_cross(vec3 a, vec3 b, vec3 d) {
+glmc_vec3_cross(vec3 a, vec3 b, vec3 dest) {
-  glm_vec3_cross(a, b, d);
+  glm_vec3_cross(a, b, dest);
+}
+
+CGLM_EXPORT
+void
+glmc_vec3_crossn(vec3 a, vec3 b, vec3 dest) {
+  glm_vec3_crossn(a, b, dest);
 }
 
 CGLM_EXPORT

src/vec4.c

@@ -206,6 +206,12 @@ glmc_vec4_lerp(vec4 from, vec4 to, float t, vec4 dest) {
   glm_vec4_lerp(from, to, t, dest);
 }
 
+CGLM_EXPORT
+void
+glmc_vec4_cubic(float s, vec4 dest) {
+  glm_vec4_cubic(s, dest);
+}
+
 /* ext */
 
 CGLM_EXPORT

test/src/test_bezier.c

@@ -0,0 +1,65 @@
+/*
+ * Copyright (c), Recep Aslantas.
+ *
+ * MIT License (MIT), http://opensource.org/licenses/MIT
+ * Full license can be found in the LICENSE file
+ */
+
+#include "test_common.h"
+
+CGLM_INLINE
+float
+test_bezier_plain(float s, float p0, float c0, float c1, float p1) {
+  float x, xx, xxx, ss, sss;
+
+  x   = 1.0f - s;
+  xx  = x * x;
+  xxx = xx * x;
+  ss  = s * s;
+  sss = ss * s;
+
+  return p0 * xxx + 3.0f * (c0 * s * xx + c1 * ss * x) + p1 * sss;
+}
+
+CGLM_INLINE
+float
+test_hermite_plain(float s, float p0, float t0, float t1, float p1) {
+  float ss, sss;
+
+  ss  = s  * s;
+  sss = ss * s;
+
+  return p0 * (2.0f * sss - 3.0f * ss + 1.0f)
+       + t0 * (sss - 2.0f * ss + s)
+       + p1 * (-2.0f * sss + 3.0f * ss)
+       + t1 * (sss - ss);
+}
+
+void
+test_bezier(void **state) {
+  float s, p0, p1, c0, c1, smc, Bs, Bs_plain;
+
+  s        = test_rand();
+  p0       = test_rand();
+  p1       = test_rand();
+  c0       = test_rand();
+  c1       = test_rand();
+
+  /* test cubic bezier */
+  smc      = glm_smc(s, GLM_BEZIER_MAT, (vec4){p0, c0, c1, p1});
+  Bs       = glm_bezier(s, p0, c0, c1, p1);
+  Bs_plain = test_bezier_plain(s, p0, c0, c1, p1);
+
+  assert_true(glm_eq(Bs,  Bs_plain));
+  test_assert_eqf(smc, Bs_plain);
+  test_assert_eqf(Bs,  smc);
+
+  /* test cubic hermite */
+  smc      = glm_smc(s, GLM_HERMITE_MAT, (vec4){p0, p1, c0, c1});
+  Bs       = glm_hermite(s, p0, c0, c1, p1);
+  Bs_plain = test_hermite_plain(s, p0, c0, c1, p1);
+
+  assert_true(glm_eq(Bs,  Bs_plain));
+  assert_true(glm_eq(smc, Bs_plain));
+  assert_true(glm_eq(Bs,  smc));
+}

test/src/test_common.c

@@ -5,6 +5,7 @@
 
 #include "test_common.h"
 #include <stdlib.h>
+#include <math.h>
 
 #define m 4
 #define n 4
@@ -58,7 +59,7 @@ test_rand_vec4(vec4 dest) {
 }
 
 float
-test_rand_angle(void) {
+test_rand(void) {
   srand((unsigned int)time(NULL));
   return drand48();
 }

test/src/test_common.h

@@ -59,7 +59,7 @@ void
 test_rand_vec4(vec4 dest) ;
 
 float
-test_rand_angle(void);
+test_rand(void);
 
 void
 test_rand_quat(versor q);

test/src/test_main.c

@@ -38,7 +38,10 @@ main(int argc, const char * argv[]) {
     cmocka_unit_test(test_vec3),
 
     /* affine */
-    cmocka_unit_test(test_affine)
+    cmocka_unit_test(test_affine),
+
+    /* bezier */
+    cmocka_unit_test(test_bezier)
   };
 
   return cmocka_run_group_tests(tests, NULL, NULL);

test/src/test_mat3.c

@@ -24,9 +24,9 @@ test_mat3(void **state) {
   for (i = 0; i < m; i++) {
     for (j = 0; j < n; j++) {
       if (i == j)
-        assert_true(m3[i][j] == 1.0f);
+        assert_true(glm_eq(m3[i][j], 1.0f));
       else
-        assert_true(m3[i][j] == 0.0f);
+        assert_true(glm_eq(m3[i][j], 0.0f));
     }
   }
 

test/src/test_mat4.c

@@ -24,9 +24,9 @@ test_mat4(void **state) {
   for (i = 0; i < m; i++) {
     for (j = 0; j < n; j++) {
       if (i == j)
-        assert_true(m3[i][j] == 1.0f);
+        assert_true(glm_eq(m3[i][j], 1.0f));
       else
-        assert_true(m3[i][j] == 0.0f);
+        assert_true(glm_eq(m3[i][j], 0.0f));
     }
   }
 

test/src/test_quat.c

@@ -25,7 +25,7 @@ test_quat(void **state) {
 
   /* 0. test identiy quat */
   glm_quat_identity(q4);
-  assert_true(glm_quat_real(q4) == cosf(glm_rad(0.0f) * 0.5f));
+  assert_true(glm_eq(glm_quat_real(q4), cosf(glm_rad(0.0f) * 0.5f)));
   glm_quat_mat4(q4, rot1);
   test_assert_mat4_eq2(rot1, GLM_MAT4_IDENTITY, 0.000009);
 
@@ -118,7 +118,7 @@ test_quat(void **state) {
   /* 9. test imag, real */
 
   /* 9.1 real */
-  assert_true(glm_quat_real(q4) == cosf(glm_rad(-90.0f) * 0.5f));
+  assert_true(glm_eq(glm_quat_real(q4), cosf(glm_rad(-90.0f) * 0.5f)));
 
   /* 9.1 imag */
   glm_quat_imag(q4, imag);

test/src/test_tests.h

@@ -40,4 +40,7 @@ test_vec3(void **state);
 void
 test_affine(void **state);
 
+void
+test_bezier(void **state);
+
 #endif /* test_tests_h */

test/src/test_vec4.c

@@ -93,6 +93,13 @@ test_vec4(void **state) {
     /* 3. test SIMD norm2 */
     test_rand_vec4(v);
     test_assert_eqf(test_vec4_norm2(v), glm_vec4_norm2(v));
+
+    /* 4. test SSE/SIMD distance */
+    test_rand_vec4(v1);
+    test_rand_vec4(v2);
+    d1 = glm_vec4_distance(v1, v2);
+    d2 = sqrtf(powf(v1[0]-v2[0], 2.0f) + pow(v1[1]-v2[1], 2.0f) + pow(v1[2]-v2[2], 2.0f) + pow(v1[3]-v2[3], 2.0f));
+    assert_true(fabsf(d1 - d2) <= 0.000009);
   }
 
   /* test zero */

win/cglm.vcxproj

@@ -20,8 +20,10 @@
   </ItemGroup>
   <ItemGroup>
     <ClCompile Include="..\src\affine.c" />
+    <ClCompile Include="..\src\bezier.c" />
     <ClCompile Include="..\src\box.c" />
     <ClCompile Include="..\src\cam.c" />
+    <ClCompile Include="..\src\curve.c" />
     <ClCompile Include="..\src\dllmain.c" />
     <ClCompile Include="..\src\ease.c" />
     <ClCompile Include="..\src\euler.c" />
@@ -39,11 +41,14 @@
   <ItemGroup>
     <ClInclude Include="..\include\cglm\affine-mat.h" />
     <ClInclude Include="..\include\cglm\affine.h" />
+    <ClInclude Include="..\include\cglm\bezier.h" />
     <ClInclude Include="..\include\cglm\box.h" />
     <ClInclude Include="..\include\cglm\call.h" />
     <ClInclude Include="..\include\cglm\call\affine.h" />
+    <ClInclude Include="..\include\cglm\call\bezier.h" />
     <ClInclude Include="..\include\cglm\call\box.h" />
     <ClInclude Include="..\include\cglm\call\cam.h" />
+    <ClInclude Include="..\include\cglm\call\curve.h" />
     <ClInclude Include="..\include\cglm\call\ease.h" />
     <ClInclude Include="..\include\cglm\call\euler.h" />
     <ClInclude Include="..\include\cglm\call\frustum.h" />
@@ -60,6 +65,7 @@
     <ClInclude Include="..\include\cglm\cglm.h" />
     <ClInclude Include="..\include\cglm\color.h" />
     <ClInclude Include="..\include\cglm\common.h" />
+    <ClInclude Include="..\include\cglm\curve.h" />
     <ClInclude Include="..\include\cglm\ease.h" />
     <ClInclude Include="..\include\cglm\euler.h" />
     <ClInclude Include="..\include\cglm\frustum.h" />
@@ -69,6 +75,7 @@
     <ClInclude Include="..\include\cglm\plane.h" />
     <ClInclude Include="..\include\cglm\project.h" />
     <ClInclude Include="..\include\cglm\quat.h" />
+    <ClInclude Include="..\include\cglm\simd\arm.h" />
     <ClInclude Include="..\include\cglm\simd\avx\affine.h" />
     <ClInclude Include="..\include\cglm\simd\avx\mat4.h" />
     <ClInclude Include="..\include\cglm\simd\intrin.h" />
@@ -77,6 +84,7 @@
     <ClInclude Include="..\include\cglm\simd\sse2\mat3.h" />
     <ClInclude Include="..\include\cglm\simd\sse2\mat4.h" />
     <ClInclude Include="..\include\cglm\simd\sse2\quat.h" />
+    <ClInclude Include="..\include\cglm\simd\x86.h" />
     <ClInclude Include="..\include\cglm\sphere.h" />
     <ClInclude Include="..\include\cglm\types.h" />
     <ClInclude Include="..\include\cglm\util.h" />

win/cglm.vcxproj.filters

@@ -84,6 +84,12 @@
     <ClCompile Include="..\src\ease.c">
       <Filter>src</Filter>
     </ClCompile>
+    <ClCompile Include="..\src\curve.c">
+      <Filter>src</Filter>
+    </ClCompile>
+    <ClCompile Include="..\src\bezier.c">
+      <Filter>src</Filter>
+    </ClCompile>
   </ItemGroup>
   <ItemGroup>
     <ClInclude Include="..\src\config.h">
@@ -233,5 +239,23 @@
     <ClInclude Include="..\include\cglm\ease.h">
       <Filter>include\cglm</Filter>
     </ClInclude>
+    <ClInclude Include="..\include\cglm\simd\arm.h">
+      <Filter>include\cglm\simd</Filter>
+    </ClInclude>
+    <ClInclude Include="..\include\cglm\simd\x86.h">
+      <Filter>include\cglm\simd</Filter>
+    </ClInclude>
+    <ClInclude Include="..\include\cglm\call\curve.h">
+      <Filter>include\cglm\call</Filter>
+    </ClInclude>
+    <ClInclude Include="..\include\cglm\curve.h">
+      <Filter>include\cglm</Filter>
+    </ClInclude>
+    <ClInclude Include="..\include\cglm\bezier.h">
+      <Filter>include\cglm</Filter>
+    </ClInclude>
+    <ClInclude Include="..\include\cglm\call\bezier.h">
+      <Filter>include\cglm\call</Filter>
+    </ClInclude>
   </ItemGroup>
 </Project>