This patch implements the matrix types (i.e:float4x4) by making heavy
usage of templating. All matrix functions are now outside of the vector
classes (inside the blender::math namespace) and are not vector size
dependent for the most part.
###Motivations
The goal/motivations of this rewrite are the same as the Vector C++ API (D13791):
- Template everything for making it work with any types and avoid code duplication.
- Use functional style instead of Object Oriented function call to allow a simple compatibility layer with GLSL syntax (see T103026 for more details).
- Allow most convenient constructor syntax and accessors (array subscript `matrix[c][r]`, or component alias `matrix.y.z`).
- Make it cover all features the current C API supports for adoption.
- Keep compilation time and debug performance somehow acceptable.
###Consideration:
- The new `MatView` class can be generated by `my_float.view<NumCol, NumRow, StartCol, StartRow>()` (with the last 2 being optionnal). This one allows modifying parts of the source matrix in place. It isn't pretty and duplicates a lot of code, but it is needed mainly to replace `normalize_m4`. At least I think it is a good starting point that can refined further.
- An exhaustive list of missing `BLI_math_matrix.h` functions from the new API can be found here P3373.
- This adds new Rotation types in order to have a clean API. This will be extended when we port the full Rotation API. The types are made so that they don't allow implicit down-casting to their vector representation.
- Some functions make direct use of the Eigen library, bypassing the Eigen C API defined in `intern/eigen`. Its use is contained inside `math_matrix.cc`. There is conflicting opinion wether we should use it more so I contained its usage to almost the tasks as in the C API for now.
Reviewed By: sergey, JacquesLucke, HooglyBoogly, Severin, brecht
Differential Revision: https://developer.blender.org/D16625
Previously, the base math headers included GMP headers in all cases.
This was problematic because we don't want all modules that use the
math headers to depend on GMP, and the unnecessary includes could
theoretically have detrimental effects to compile times.
Now `BLI_math_mpq.hh` depends on `BLI_math_base.hh`, so if a file
needs to use exact arithmatic, it can just include the former.
Differential Revision: https://developer.blender.org/D15079
Sometimes integers are mixed using float weights. In those cases
the mixed result has to be converted from into float again.
Previously, this was done using a simple cast, which was unexpected
because e.g. 14.999 would be cast to 14 instead of 15.
Now, the values are rounded properly.
This can affect existing files unfortunately without a good option
for versioning. Gladly, very few files seem to depend on the details
of the old behavior.
Differential Revision: https://developer.blender.org/D14892
Since {rBeae36be372a6b16ee3e76eff0485a47da4f3c230} the distinction
between float and byte colors is more explicit in the ui. So far, geometry
nodes couldn't really deal with byte colors in general. This patch fixes that.
There is still only one color socket, which contains float colors. Conversion
to and from byte colors is done when read from or writing to attributes.
* Support writing to byte color attributes in Store Named Attribute node.
* Support converting to/from byte color in attribute conversion operator.
* Support propagating byte color attributes.
* Add all the implicit conversions from byte colors to the other types.
* Display byte colors as integers in spreadsheet.
Differential Revision: https://developer.blender.org/D14705
In order to allow interpolation of integers with a float, add a separate
template parameter for the factor and multiplication types.
Also move some helper constexpr variables to the "base" header
(reversing the dependency to "base" -> "vector").
This also adds a distance function for scalar types, which is
helpful to allow sharing code between vectors and basic types.
Differential Revision: https://developer.blender.org/D14446
This is meant to complement the `blender::math` functions recently
added by D13791. It's sometimes desired to template an operation to work
on vector types, but also basic types like `float` and `int`. This patch
adds that ability with a new `BLI_math_base.hh` header.
The existing vector math header is changed to use the `vec_base` type
more explicitly, to allow the compiler's generic function overload resolution
to determine which implementation of each math function to use.
This is a relatively large change, but it also makes the file significantly
easier to understand by reducing the use of macros.
Differential Revision: https://developer.blender.org/D14113
