BLI: Refactor vector types & functions to use templates

This patch implements the vector types (i.e:`float2`) by making heavy
usage of templating. All vector functions are now outside of the vector
classes (inside the `blender::math` namespace) and are not vector size
dependent for the most part.

In the ongoing effort to make shaders less GL centric, we are aiming
to share more code between GLSL and C++ to avoid code duplication.

####Motivations:
 - We are aiming to share UBO and SSBO structures between GLSL and C++.
 This means we will use many of the existing vector types and others
 we currently don't have (uintX, intX). All these variations were
 asking for many more code duplication.
 - Deduplicate existing code which is duplicated for each vector size.
 - We also want to share small functions. Which means that vector
 functions should be static and not in the class namespace.
 - Reduce friction to use these types in new projects due to their
 incompleteness.
 - The current state of the `BLI_(float|double|mpq)(2|3|4).hh` is a
 bit of a let down. Most clases are incomplete, out of sync with each
 others with different codestyles, and some functions that should be
 static are not (i.e: `float3::reflect()`).

####Upsides:
 - Still support `.x, .y, .z, .w` for readability.
 - Compact, readable and easilly extendable.
 - All of the vector functions are available for all the vectors types
 and can be restricted to certain types. Also template specialization
 let us define exception for special class (like mpq).
 - With optimization ON, the compiler unroll the loops and performance
 is the same.

####Downsides:
 - Might impact debugability. Though I would arge that the bugs are
 rarelly caused by the vector class itself (since the operations are
 quite trivial) but by the type conversions.
 - Might impact compile time. I did not saw a significant impact since
 the usage is not really widespread.
 - Functions needs to be rewritten to support arbitrary vector length.
 For instance, one can't call `len_squared_v3v3` in
 `math::length_squared()` and call it a day.
 - Type cast does not work with the template version of the `math::`
 vector functions. Meaning you need to manually cast `float *` and
 `(float *)[3]` to `float3` for the function calls.
 i.e: `math::distance_squared(float3(nearest.co), positions[i]);`
 - Some parts might loose in readability:
 `float3::dot(v1.normalized(), v2.normalized())`
 becoming
 `math::dot(math::normalize(v1), math::normalize(v2))`
 But I propose, when appropriate, to use
 `using namespace blender::math;` on function local or file scope to
 increase readability.
 `dot(normalize(v1), normalize(v2))`

####Consideration:
 - Include back `.length()` method. It is quite handy and is more C++
 oriented.
 - I considered the GLM library as a candidate for replacement. It felt
 like too much for what we need and would be difficult to extend / modify
 to our needs.
 - I used Macros to reduce code in operators declaration and potential
 copy paste bugs. This could reduce debugability and could be reverted.
 - This touches `delaunay_2d.cc` and the intersection code. I would like
 to know @howardt opinion on the matter.
 - The `noexcept` on the copy constructor of `mpq(2|3)` is being removed.
 But according to @JacquesLucke it is not a real problem for now.

I would like to give a huge thanks to @JacquesLucke who helped during this
and pushed me to reduce the duplication further.

Reviewed By: brecht, sergey, JacquesLucke

Differential Revision: https://developer.blender.org/D13791

1 files changed, 19 insertions, 11 deletions

diff --git a/source/blender/imbuf/IMB_imbuf.h b/source/blender/imbuf/IMB_imbuf.h
index 65d7631445d..c7481c6ea67 100644
--- a/source/blender/imbuf/IMB_imbuf.h
+++ b/source/blender/imbuf/IMB_imbuf.h
@@ -544,7 +544,7 @@ bool IMB_prepare_write_ImBuf(bool isfloat, struct ImBuf *ibuf);
  */
 bool IMB_ispic(const char *filepath);
 bool IMB_ispic_type_matches(const char *filepath, int filetype);
-int IMB_ispic_type_from_memory(const unsigned char *buf, size_t buf_size);
+int IMB_ispic_type_from_memory(const unsigned char *buf, const size_t buf_size);
 int IMB_ispic_type(const char *filepath);
 
 /**
@@ -972,20 +972,28 @@ void IMB_update_gpu_texture_sub(struct GPUTexture *tex,
 /**
  * \attention defined in stereoimbuf.c
  */
-void IMB_stereo3d_write_dimensions(
-    char mode, bool is_squeezed, size_t width, size_t height, size_t *r_width, size_t *r_height);
-void IMB_stereo3d_read_dimensions(
-    char mode, bool is_squeezed, size_t width, size_t height, size_t *r_width, size_t *r_height);
+void IMB_stereo3d_write_dimensions(char mode,
+                                   bool is_squeezed,
+                                   const size_t width,
+                                   const size_t height,
+                                   size_t *r_width,
+                                   size_t *r_height);
+void IMB_stereo3d_read_dimensions(char mode,
+                                  bool is_squeezed,
+                                  const size_t width,
+                                  const size_t height,
+                                  size_t *r_width,
+                                  size_t *r_height);
 int *IMB_stereo3d_from_rect(struct ImageFormatData *im_format,
-                            size_t x,
-                            size_t y,
-                            size_t channels,
+                            const size_t x,
+                            const size_t y,
+                            const size_t channels,
                             int *rect_left,
                             int *rect_right);
 float *IMB_stereo3d_from_rectf(struct ImageFormatData *im_format,
-                               size_t x,
-                               size_t y,
-                               size_t channels,
+                               const size_t x,
+                               const size_t y,
+                               const size_t channels,
                                float *rectf_left,
                                float *rectf_right);
 /**