We would need to duplicate all the functionality found in Vector, which
I don't think is needed at all. If anyone needs to do this, it is
possible to "linearize" the matrix into long vector and do the
operations on it.
Also updated subclass operator implementation, added tests for it, both
for proper returned value and proper result type.
Needed to adjust the test cases slightly, because they were firing the
assert even if they shouldn't and the "expect fail" case wasn't working
at all. I now badly need proper floating-point equality comparison.
It seems that with Clang you cannot split declaration and definition of
`constexpr` function. These should be as short as possible anyway, thus
it is non-issue.
Also fixed unary RectangularMatrix::operator-() and Vector::operator-()
documentation (was stating that the operation is done in-place, which is
impossible.
As there is no Magnum::TypeTraits struct anymore, there is no need to
have redundant name in it. Hopefully Doxygen will handle the difference
between this and Corrade's TypeTraits.h properly.
* Merged constExpressions() into other test cases, reducing duplicates
and simplifying the checks.
* Fixed old-and-forgotten operator[] overload in Matrix subclasses, it
was reinterpret_cast on T* array, it is now sufficient to do only
static_cast. Constexpr operator[] overload returns const copy to make
constexpr operations working even on returned value, e.g.:
constexpr Matrix4 a;
constexpr Vector3 b = a[2].xyz();
Square matrices already had that, (dual) quaternions too, making that
the default also with complex numbers. Updated the documentation to
reflect that.
It's now possible to conveniently transform 2D vectors and points with
3x3 matrices and 3D vectors/points with 4x4 matrices. Previous most
low-level solution:
Matrix4 m;
Vector3 v;
Vector3 a = (m*Vector4(v, 1.0f)).xyz();
Vector4 b = (m*Vector4(v, 0.0f)).xyz();
Another, more generalized solution for points was with Point2D/Point3D,
adding a lot of confusion (what is that class and what does .vector()?):
Vector3 a = (m*Point3D(v)).vector();
And the worst solution was with generic 2D/3D code (WTF!):
auto a = (m*typename DimensionTraits::PointType(v)).vector();
Now it is just this, similar for both dimensions:
Vector3 a = m.transformPoint(v);
Vector3 b = m.transformVector(v);
Note that transformation three-component vectors with 3x3 matrices or
four-component vectors with 4x4 matrices is easy enough so it doesn't
need any special convenience functions whatsoever:
Vector3 c = m.rotation()*v;
Also updated all dependent classes to follow the change, such as Color
and Rectangle. Backwards compatibility for GCC 4.6 (with lack of support
for delegating constructors) will be done as non-constexpr constructor
using operator=().
Overall architecture is simplififed with this change and also it's not
needed to use reinterpret_cast in matrix internals anymore, thus there
is no need for operator() and [][] works now always as expected without
any risk of GCC misoptimizations.
On the other side, constructing matrix from list of elements is not
possible anymore. You have to specify the elements as list of
column vectors, which might be less convenient to write, but it helps to
distinguish what is column and what is row:
Matrix<2, int> a(1, 2, // before
3, 4);
Matrix<2, int> a(Vector<2, int>(1, 2), // now
Vector<2, int>(3, 4));
For some matrix specializations (i.e. Matrix3 and Matrix4) it is
possible to use list-initialization instead of explicit type
specification:
Matrix<3, int>({1, 2, 3},
{4, 5, 6},
{7, 8, 9});
I didn't yet figure out how to properly implement the general
(constexpr) constructor to also take lists, so it's a bit ugly for now.
Matrix operations are now done column-wise, which should help with
future SIMD implementations, documentation is also updated accordingly.
I also removed forgotten remains of matrix/matrix operator*=(), which
can be confusing, as the multiplication is not commutative. Why it is
not present is explained in d9c900f076.
Removed workarounds for alias templates, variadic templates and
anonymous enums, but 1.8.2 has some bug with forward declarations
causing classes to appear in default namespace, breaking
cross-references.
* Added math equations to Quaternion, Vector and Matrix method
documentation.
* Removed confusing Quat*=Quat operator overload, as it isn't exactly
clear from which side the non-commutative multiplication is done:
Quaternion a;
a *= b; // eh?
a = a*b; // okay!
For similar reason this operator wasn't present in RectangularMatrix
either.
* Unified documentation of expected vector/quaternion normalization
state. Now it is not "assumed" but "expected", because failing to do
so results in assertion failure.
Long-standing TODO, can be used for in-game mirrors etc. I give up with
shearing, as I think that it makes sense only in 2D and I can't find any
reasonable use case for that yet.
It prevents unwanted implicit conversions from e.g. nullptr to Camera,
Vector2 to Physics::Point etc. By making all the constructors explicit
it is easier to routinely add the keyword to all new classes instead of
thinking about cases when to add and when not to.
Now whole Magnum, Magnum::SceneGraph and Magnum::Math namespaces are
fully documented -- each class has at least "getting started"
documentation, larger modules are documented on separate pages.
Vladimír Vondruš