Was causing improper implicit conversions, such as here (example
directly from unit tests, where it was unintentionally used):
Vector3 normal;
Matrix4 transformation;
auto transformedNormal = transformation*normal;
Not only that it was possible to multiply 4x4 matrix with 3-component
vector, but the resulting type was Point3D which was absolutely
confusing. Currently it must be explicitly converted:
transformedNormal = transformation*Point3D(normal);
The comparisons have also SIMD instructions returning bool vector, this
future-proofs them. Also it isn't confusing anymore (a < b is true when
all are less or just one?).
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.
(De)normalization from/to [0, 1] for unsigned types and from/to [-1, 1]
for signed types. -1.0 is always denormalized to min+1.
Also updated some tests for Color, as they depended on previous
imprecise implementation.
* 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.