Math

Matrices, vectors, configurations, and more. More...

Classes
class	Polynomial< T >
	Representation of an ordinary polynomial with scalar coefficients (that can be both real and complex). More...
class	PolynomialND< Coef, Scalar >
	Representation of a polynomial that can have non-scalar coefficients (polynomial matrix). More...
class	PolynomialSolver
	Find solutions for roots of real and complex polynomial equations. More...
class	Random
	Generation of random numbers. More...

Functions
Polynomial	operator* (const PolynomialND< Eigen::Matrix< double, 1, 3 >> &a, const PolynomialND< Eigen::Matrix< double, 3, 1 >> &b)
	Multiply 3D polynomial vector with 3D polynomial vector. More...
PolynomialND< Eigen::Vector3d >	operator* (const PolynomialND< Eigen::Vector3d > &polynomial, const Polynomial<> &p)
	Multiply 3D polynomial vector with a polynomial with scalar coefficients. More...
PolynomialND< Eigen::Matrix< double, 1, 3 > >	operator* (const PolynomialND< Eigen::Matrix< double, 1, 3 >> &polynomial, const Polynomial<> &p)
	Multiply 3D polynomial vector with a polynomial with scalar coefficients. More...
PolynomialND< Eigen::Matrix3d >	operator* (const PolynomialND< Eigen::Matrix3d > &polynomial, const Polynomial<> &p)
	Multiply 3D polynomial matrix with a polynomial with scalar coefficients. More...
Polynomial< float >	operator* (const PolynomialND< Eigen::Matrix< float, 1, 3 >, float > &a, const PolynomialND< Eigen::Matrix< float, 3, 1 >, float > &b)
PolynomialND< Eigen::Vector3f, float >	operator* (const PolynomialND< Eigen::Vector3f, float > &polynomial, const Polynomial< float > &p)
	Multiply 3D polynomial vector with a polynomial with scalar coefficients. More...
PolynomialND< Eigen::Matrix< float, 1, 3 >, float >	operator* (const PolynomialND< Eigen::Matrix< float, 1, 3 >, float > &polynomial, const Polynomial< float > &p)
PolynomialND< Eigen::Matrix3f, float >	operator* (const PolynomialND< Eigen::Matrix3f, float > &polynomial, const Polynomial< float > &p)
	Multiply 3D polynomial matrix with a polynomial with scalar coefficients. More...
PolynomialND< Eigen::Vector3d >	operator* (const PolynomialND< Eigen::Matrix3d > &A, const PolynomialND< Eigen::Vector3d > &b)
	Multiply 3D polynomial matrix with 3D polynomial vector. More...
PolynomialND< Eigen::Matrix< double, 1, 3 > >	operator* (const PolynomialND< Eigen::Matrix< double, 1, 3 >> &a, const PolynomialND< Eigen::Matrix3d > &A)
	Multiply 3D polynomial vector with 3D polynomial matrix. More...
PolynomialND< Eigen::Vector3d >	operator* (const PolynomialND< Eigen::Matrix3d > &A, const Eigen::Vector3d &b)
PolynomialND< Eigen::Matrix< double, 1, 3 > >	operator* (const PolynomialND< Eigen::Matrix< double, 1, 3 >> &a, const Eigen::Matrix3d &A)
PolynomialND< Eigen::Vector3f, float >	operator* (const PolynomialND< Eigen::Matrix3f, float > &A, const PolynomialND< Eigen::Vector3f, float > &b)
PolynomialND< Eigen::Matrix< float, 1, 3 >, float >	operator* (const PolynomialND< Eigen::Matrix< float, 1, 3 >, float > &a, const PolynomialND< Eigen::Matrix3f, float > &A)
PolynomialND< Eigen::Vector3f, float >	operator* (const PolynomialND< Eigen::Matrix3f, float > &A, const Eigen::Vector3f &b)
PolynomialND< Eigen::Matrix< float, 1, 3 >, float >	operator* (const PolynomialND< Eigen::Matrix< float, 1, 3 >, float > &a, const Eigen::Matrix3f &A)

Detailed Description

Matrices, vectors, configurations, and more.

Function Documentation

operator*() [1/16]

PolynomialND<Eigen::Vector3d> rw::math::operator*	(	const PolynomialND< Eigen::Matrix3d > &	A,
		const Eigen::Vector3d &	b
	)

operator*() [2/16]

PolynomialND<Eigen::Vector3d> rw::math::operator*	(	const PolynomialND< Eigen::Matrix3d > &	A,
		const PolynomialND< Eigen::Vector3d > &	b
	)

Multiply 3D polynomial matrix with 3D polynomial vector.

Parameters

A	[in] the matrix expression.
b	[in] the vector expression.

Returns

a 3D polynomial vector.

operator*() [3/16]

PolynomialND<Eigen::Matrix3d> rw::math::operator*	(	const PolynomialND< Eigen::Matrix3d > &	polynomial,
		const Polynomial<> &	p
	)

Multiply 3D polynomial matrix with a polynomial with scalar coefficients.

Parameters

polynomial	[in] the polynomial matrix.
p	[in] polynomial with scalar coefficients.

Returns

a 3D polynomial matrix.

operator*() [4/16]

PolynomialND<Eigen::Vector3f, float> rw::math::operator*	(	const PolynomialND< Eigen::Matrix3f, float > &	A,
		const Eigen::Vector3f &	b
	)

operator*() [5/16]

PolynomialND<Eigen::Vector3f, float> rw::math::operator*	(	const PolynomialND< Eigen::Matrix3f, float > &	A,
		const PolynomialND< Eigen::Vector3f, float > &	b
	)

operator*() [6/16]

PolynomialND<Eigen::Matrix3f, float> rw::math::operator*	(	const PolynomialND< Eigen::Matrix3f, float > &	polynomial,
		const Polynomial< float > &	p
	)

Multiply 3D polynomial matrix with a polynomial with scalar coefficients.

Parameters

polynomial	[in] the polynomial matrix.
p	[in] polynomial with scalar coefficients.

Returns

a 3D polynomial matrix.

operator*() [7/16]

PolynomialND<Eigen::Matrix<double, 1, 3> > rw::math::operator*	(	const PolynomialND< Eigen::Matrix< double, 1, 3 >> &	a,
		const Eigen::Matrix3d &	A
	)

operator*() [8/16]

PolynomialND<Eigen::Matrix<double, 1, 3> > rw::math::operator*	(	const PolynomialND< Eigen::Matrix< double, 1, 3 >> &	a,
		const PolynomialND< Eigen::Matrix3d > &	A
	)

Multiply 3D polynomial vector with 3D polynomial matrix.

Parameters

a	[in] the vector expression.
A	[in] the matrix expression.

Returns

a 3D polynomial vector.

operator*() [9/16]

Polynomial rw::math::operator*	(	const PolynomialND< Eigen::Matrix< double, 1, 3 >> &	a,
		const PolynomialND< Eigen::Matrix< double, 3, 1 >> &	b
	)

Multiply 3D polynomial vector with 3D polynomial vector.

Parameters

a	[in] first polynomial vector (row vector).
b	[in] second polynomial vector (column vector).

Returns

a polynomial with scalar coefficients.

operator*() [10/16]

PolynomialND<Eigen::Matrix<double, 1, 3> > rw::math::operator*	(	const PolynomialND< Eigen::Matrix< double, 1, 3 >> &	polynomial,
		const Polynomial<> &	p
	)

Multiply 3D polynomial vector with a polynomial with scalar coefficients.

Parameters

polynomial	[in] the polynomial vector.
p	[in] polynomial with scalar coefficients.

Returns

a 3D polynomial vector.

operator*() [11/16]

PolynomialND<Eigen::Matrix<float, 1, 3>, float> rw::math::operator*	(	const PolynomialND< Eigen::Matrix< float, 1, 3 >, float > &	a,
		const Eigen::Matrix3f &	A
	)

operator*() [12/16]

PolynomialND<Eigen::Matrix<float, 1, 3>, float> rw::math::operator*	(	const PolynomialND< Eigen::Matrix< float, 1, 3 >, float > &	a,
		const PolynomialND< Eigen::Matrix3f, float > &	A
	)

operator*() [13/16]

Polynomial<float> rw::math::operator*	(	const PolynomialND< Eigen::Matrix< float, 1, 3 >, float > &	a,
		const PolynomialND< Eigen::Matrix< float, 3, 1 >, float > &	b
	)

operator*() [14/16]

PolynomialND<Eigen::Matrix<float, 1, 3>, float> rw::math::operator*	(	const PolynomialND< Eigen::Matrix< float, 1, 3 >, float > &	polynomial,
		const Polynomial< float > &	p
	)

operator*() [15/16]

PolynomialND<Eigen::Vector3d> rw::math::operator*	(	const PolynomialND< Eigen::Vector3d > &	polynomial,
		const Polynomial<> &	p
	)

Multiply 3D polynomial vector with a polynomial with scalar coefficients.

Parameters

polynomial	[in] the polynomial vector.
p	[in] polynomial with scalar coefficients.

Returns

a 3D polynomial vector.

operator*() [16/16]

PolynomialND<Eigen::Vector3f, float> rw::math::operator*	(	const PolynomialND< Eigen::Vector3f, float > &	polynomial,
		const Polynomial< float > &	p
	)

Multiply 3D polynomial vector with a polynomial with scalar coefficients.

Parameters

polynomial	[in] the polynomial vector.
p	[in] polynomial with scalar coefficients.

Returns

a 3D polynomial vector.