First, removed functions which can be done with Vector's member
functions and functions from Functions.h. More flexibility and less
redundant code which leads to easier SIMD implementation later.
Vector4 a;
Float b = a.maxAbs(); // before
Float b = Math::abs(a).max(); // now
Second, removed all functions from RectangularMatrix which are
implemented in Vector and added conversion from RectangularMatrix to
Vector and back. Also for more flexibility and less redundant code (i.e.
reusing SIMD-optimized Vector::max() instead of writing it again).
Matrix4x3 a;
Float b = a.max(); // before
Float b = a.toVector().max(); // now
It does too much harm on GCC 4.6 (all these constexpr constructors are
not constexpr now). We can disable that `-pedantic` warning for GCC 4.6
only and live with that.
This reverts commit 2d92d497d9.
Awesome bug. In GCC 4.6 it throws plenty of ungoogleable `-pedantic`
warnings and in GCC 4.5 it fails directly with "error: bad array
initializer". Fallback to initialization using for-cycle.
Hello, performance? You can go home now.
Comparing squared length to 1 is not sufficient to compare within range
[1 - epsilon, 1 + epsilon], as e.g. Quaternion with dot() = 1 + 1e-7
when converted to matrix has column vectors with dot() = 1 + 1e-6, which
is just above 1 + epsilon. Thus it's needed to compare sqrt(dot()) in
range [1 - epsilon, 1 + epsilon] or dot() in range [1 - 2*epsilon +
epsilon^2, 1 + 2*epsilon + epsilon^2]. Because epsilon^2 is way off
machine precision, it's omitted, thus dot() in all isNormalized()
implementations is now compared this way:
abs(dot() - 1) < 2*epsilon;
DualQuaternion and DualComplex has now only rotation() which returns
full rotation part, rotationAngle() and rotationAxis() on Quaternion and
Complex were renamed to angle() and axis().
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.