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…4.Decompose` and `VectorXD.Transform(Vector, Quaternion)`.
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This PR is a continuation of #2459 and supersedes it.
Status snapshot:
Vector structs:
TdefinesIRootFunctions<T>.+,-,*,/, and%operators defined between two vectors of the same type which returns a vector which has had each operation applied component-wise.+,-,*,/, and%operators defined between a vector and a scalar value that matches the generic type which returns a vector which has had each operation applied component-wise with the scalar value. Both vector first and scalar first should be implemented.-unary operator which returns the negated vector.+unary operator which returns the vector.Vector2D<T>toVector2D<float>)Matrix2Xn,Matrix3Xn, andMatrix4Xn) and return a vector containing the output (type should match the outer type e.g.Vector2D.Transform(Matrix4X4)returnsVector2D)VectorND<T> * MatrixNXMoperators where N is the same for both Vector and Matrix, but M is any numberMatrix2Xn,Matrix3Xn, andMatrix4Xn) and return a vector containing the output (type should match the outer type e.g.Vector2D.Transform(Matrix4X4)returnsVector2D)BitwiseAnd,BitwiseOr, andBitwiseXorExclusiveOrstatic methods defined between two vectors which returns a vector which has had these operators applied on a component-wise basis.BitwiseAnd,BitwiseOr, andBitwiseXorExclusiveOrstatic methods operators defined between a vectors and a scalar value that matches the generic type which returns a vector which has had these operators applied on a component-wise basis with the scalar.BitwiseNotOnesComplementstatic method defined which negates the bits of the vector components.TimplementsIRootFunctions<T>VectorND<int>, where N matches the dimensionality of the vectorint digitsMidpointRounding modeint digits, MidpointRounding modeVectorND<int>, where N matches the dimensionality of the vectorVectorND<int>, where N matches the dimensionality of the vectorVectorND<int>, where N matches the dimensionality of the vectorVectorND<int>, where N matches the dimensionality of the vectorSystem.Runtime.Intrinsics.Vector64<TScalar>System.Runtime.Intrinsics.Vector128<TScalar>System.Runtime.Intrinsics.Vector256<TScalar>System.Runtime.Intrinsics.Vector512<TScalar>Matrix structs must fulfill the following requirements:
IEquatable<T>whereTis the same matrix classImplicitExplicit conversion to and from the System.Numerics matrix type, if availableSeveral of these functions exist, but not for all types or not for both LH/RH versions.
A Quaternion struct:
Twhich is constrained byINumber<T>, IRootFunctions<T>, ITrigonometricFunctions<T>representing the scalar typeVector3D<T>and a Scalar, with the vector 3 mapping to X, Y, Z and the Scalar to the WVector4D<T>Vector3D<T>Axis property mapping to (X, Y, Z)+,-,*, and/between two Quaternions*withTmultiplying each component by the scalar value returning a new quaternion~A Dot function which takes another Quaternion and returns its the dotproduct between themInverseInvert function must be available but it returns the inverse rather than affecting the originalA Concatenate function which takes another Quaternion and concatenates it with this quaternionA Conjugate function which returns the conjugate of this quaternionVector3D<T>and an angle and returns a Quaternion representing that rotationVector3D<T>and outputs a Quaternion representing that rotationGeometric Types:
Geometric Types details: