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 @Howard Trickey (howardt) opinion on the matter.
- The noexcept on the copy constructor of mpq(2|3) is being removed.
  But according to @Jacques Lucke (JacquesLucke) it is not a real problem
  for now.

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

Reviewed By: brecht, sergey, JacquesLucke

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

4 files changed, 33 insertions, 3 deletions

diff --git a/build_files/build_environment/cmake/gmp.cmake b/build_files/build_environment/cmake/gmp.cmake
index dbcce12d24b..6ca81678a32 100644
--- a/build_files/build_environment/cmake/gmp.cmake
+++ b/build_files/build_environment/cmake/gmp.cmake
@@ -38,6 +38,13 @@ elseif(UNIX AND NOT APPLE)
   )
 endif()
 
+if(BLENDER_PLATFORM_ARM)
+  set(GMP_OPTIONS
+    ${GMP_OPTIONS}
+    --disable-assembly
+  )
+endif()
+
 ExternalProject_Add(external_gmp
   URL file://${PACKAGE_DIR}/${GMP_FILE}
   DOWNLOAD_DIR ${DOWNLOAD_DIR}
diff --git a/build_files/build_environment/cmake/versions.cmake b/build_files/build_environment/cmake/versions.cmake
index c758dbd265e..f2c245dc380 100644
--- a/build_files/build_environment/cmake/versions.cmake
+++ b/build_files/build_environment/cmake/versions.cmake
@@ -474,9 +474,9 @@ set(ISPC_HASH 2e3abedbc0ea9aaec17d6562c632454d)
 set(ISPC_HASH_TYPE MD5)
 set(ISPC_FILE ispc-${ISPC_VERSION}.tar.gz)
 
-set(GMP_VERSION 6.2.1)
+set(GMP_VERSION 6.2.0)
 set(GMP_URI https://gmplib.org/download/gmp/gmp-${GMP_VERSION}.tar.xz)
-set(GMP_HASH 0b82665c4a92fd2ade7440c13fcaa42b)
+set(GMP_HASH a325e3f09e6d91e62101e59f9bda3ec1)
 set(GMP_HASH_TYPE MD5)
 set(GMP_FILE gmp-${GMP_VERSION}.tar.xz)
 
diff --git a/build_files/cmake/macros.cmake b/build_files/cmake/macros.cmake
index 25a8b66af51..34c2c9a684d 100644
--- a/build_files/cmake/macros.cmake
+++ b/build_files/cmake/macros.cmake
@@ -1292,6 +1292,29 @@ macro(openmp_delayload
     endif()
 endmacro()
 
+macro(blender_precompile_headers target cpp header)
+  if(MSVC)
+    # get the name for the pch output file
+    get_filename_component(pchbase ${cpp} NAME_WE)
+    set(pchfinal "${CMAKE_CURRENT_BINARY_DIR}/${CMAKE_CFG_INTDIR}/${pchbase}.pch")
+
+    # mark the cpp as the one outputting the pch
+    set_property(SOURCE ${cpp} APPEND PROPERTY OBJECT_OUTPUTS "${pchfinal}")
+
+    # get all sources for the target
+    get_target_property(sources ${target} SOURCES)
+
+    # make all sources depend on the pch to enforce the build order
+    foreach(src ${sources})
+      set_property(SOURCE ${src} APPEND PROPERTY OBJECT_DEPENDS "${pchfinal}")
+    endforeach()
+
+    target_sources(${target} PRIVATE ${cpp} ${header})
+    set_target_properties(${target} PROPERTIES COMPILE_FLAGS "/Yu${header} /Fp${pchfinal} /FI${header}")
+    set_source_files_properties(${cpp} PROPERTIES COMPILE_FLAGS "/Yc${header} /Fp${pchfinal}")
+  endif()
+endmacro()
+
 macro(set_and_warn_dependency
   _dependency _setting _val)
   # when $_dependency is disabled, forces $_setting = $_val
diff --git a/build_files/cmake/platform/platform_unix.cmake b/build_files/cmake/platform/platform_unix.cmake
index 0aaec3083a3..2f1a622c63d 100644
--- a/build_files/cmake/platform/platform_unix.cmake
+++ b/build_files/cmake/platform/platform_unix.cmake
@@ -18,7 +18,7 @@
 # All rights reserved.
 # ***** END GPL LICENSE BLOCK *****
 
-# Libraries configuration for any *nix system including Linux and Unix (excluding APPLE).
+# Libraries configuration for any *nix system including Linux and Unix.
 
 # Detect precompiled library directory
 if(NOT DEFINED LIBDIR)