magnum

Commit Graph

Author	SHA1	Message	Date
Vladimír Vondruš	759a28ef45	Math: improved documentation for *::isNormalized().	13 years ago
Vladimír Vondruš	06a4e297bc	Math: deinlined heavy functions, removed redundant `inline`. Also fixed unary RectangularMatrix::operator-() and Vector::operator-() documentation (was stating that the operation is done in-place, which is impossible.	13 years ago
Vladimír Vondruš	ce6f999904	Math: better isNormalized() implementation. 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 - 2epsilon + epsilon^2, 1 + 2epsilon + 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;	13 years ago
Vladimír Vondruš	f4f44d9d90	Math: allow creating DualComplex/DualQuaternion from real part only. Useful when creating transformation from rotation only.	13 years ago
Vladimír Vondruš	3e0e91d7db	Math: renamed {rotationAngle, rotationAxis}() -> {rotation, angle, axis}(). 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().	13 years ago
Vladimír Vondruš	1790f37295	Math: added convenience functions {Complex,DualComplex}::isNormalized().	13 years ago
Vladimír Vondruš	9128820e35	Math: ability to create Complex and DualComplex from matrix.	13 years ago
Vladimír Vondruš	6a5d75d1e4	Relicensing to MIT/Expat license, part 2: headers.	13 years ago
Vladimír Vondruš	618b556381	Math: crosslinked documentation with missing type aliases.	13 years ago
Vladimír Vondruš	6a90b0231b	Math: using new aliases for builtin types in whole Math namespace.	13 years ago
Vladimír Vondruš	8913e38432	Math: documented this whole transformation thingy.	13 years ago
Vladimír Vondruš	14460cf0f4	Math: renamed *::matrix() to ::toMatrix(). It better visualizes the fact that neither (Dual)Complex nor (Dual)Quaternion contains the matrix inside them, but performs (possibly costly) conversion.	13 years ago
Vladimír Vondruš	e204dbc109	Brought DualComplex into Magnum namespace.	13 years ago
Vladimír Vondruš	a0af6856c7	Math: transforming points with DualComplex.	13 years ago
Vladimír Vondruš	268c07acc5	Math: converting DualComplex to matrix.	13 years ago
Vladimír Vondruš	8e562316e8	Math: creating DualComplex from Vector2.	13 years ago
Vladimír Vondruš	90f5a006c4	Math: reworked DualComplex to actually work. The tests now pass and it works similarly to transformation matrix multiplication/inversion in 2D, but it hasn't any connection to dual numbers anymore.	13 years ago
Vladimír Vondruš	bdc02ddd19	Math: translation dual complex number.	13 years ago
Vladimír Vondruš	1a5e18564e	Math: rotation dual complex number.	13 years ago
Vladimír Vondruš	fbac6662fa	Math: inversion of DualComplex.	13 years ago
Vladimír Vondruš	d7bfd91398	Math: length and normalization of DualComplex.	13 years ago
Vladimír Vondruš	f6d1a158f8	Math: initial implementation of dual complex numbers.	13 years ago

22 Commits (759a28ef45f3b01de4672698ce797ed9e3b471df)