lc::maths::Equation Class Reference

#include <equation.h>

Public Member Functions
	Equation ()
Equation &	operator= (const Equation qm)
	Equation (Eigen::Matrix3d &mat)
	Equation (double a, double b, double c, double d, double e, double f)
	creates a new quadratic Equation More...
	Equation (const std::vector< double > &vec)
	creates a new equation with values in vector More...
const std::vector< double >	Coefficients () const
	Coefficients of the equation. More...
const Equation	move (const geo::Coordinate &v) const
	move the quadratic equation by value V More...
const Equation	rotate (double angle) const
	rotate the quadratic equation by value V More...
const Equation	rotate (const geo::Coordinate &center, double angle) const
	rotate the quadratic equation by value V at specific center. More...
const Eigen::Matrix3d	Matrix () const
	Matrix Returns matrix of equation. More...
const Equation	flipXY () const
	flipXY Flips the matrix values More...

Static Public Member Functions
static Eigen::Matrix3d	rotationMatrix (double angle)
	rotationMatrix Rotates the matrix by an angle More...
static Eigen::Matrix3d	translateMatrix (const geo::Coordinate &v)
	translateMatrix Translates the matrix by some coordinate value More...

Private Attributes
Eigen::Matrix3d	matrix_

Detailed Description

Definition at line 14 of file equation.h.

Constructor & Destructor Documentation

Equation::Equation

(

)

Definition at line 10 of file equation.cpp.

                   : matrix_(Eigen::Matrix3d::Zero()) {

}

Equation::Equation

(

Eigen::Matrix3d &

mat

)

Definition at line 14 of file equation.cpp.

                                     : matrix_(mat) {

}

Equation::Equation	(	double	a,
		double	b,
		double	c,
		double	d,
		double	e,
		double	f
	)

creates a new quadratic Equation

Parameters

a	X^2 double value
b	Y^2 double value
c	XY double value
d	X double value
e	Y double value
f	constant double

Definition at line 23 of file equation.cpp.

                                                   :
            matrix_((Eigen::Matrix3d() <<
            a, b*.5, d*.5,
            b*.5, c, e*.5,
            d*.5, e*.5, f
            ).finished()) {
}

Equation::Equation

(

const std::vector< double > &

vec

)

creates a new equation with values in vector

Parameters

vec	vector of quadratic equation

Definition at line 32 of file equation.cpp.

                                               :
        matrix_((Eigen::Matrix3d() <<
                vec[0], vec[1]*.5, vec[3]*.5,
                vec[1]*.5, vec[2], vec[4]*.5,
                vec[3]*.5, vec[4]*.5, vec[5]
        ).finished()) {
}

Member Function Documentation

const std::vector< double > Equation::Coefficients

(

)

const

Coefficients of the equation.

Returns

vector of coefficients.

Definition at line 40 of file equation.cpp.

                                                     {
    std::vector<double> vec {{
            matrix_(0,0), matrix_(0,1) + matrix_(1,0),
            matrix_(1,1), matrix_(0,2) + matrix_(2,0),
            matrix_(2,1) + matrix_(1,2), matrix_(2,2) }};
    return vec;
}

const Equation Equation::flipXY

(

)

const

flipXY Flips the matrix values

Returns

equation vith flipped XY

Definition at line 88 of file equation.cpp.

                                      {
    Eigen::Matrix3d ret;

    /*
     * swap a with c
     * swap d with e
     * no swaps for consant i.e f
     */

    auto lin1 = (matrix_(2,0) + matrix_(0,2)) / 2;
    auto lin2 = (matrix_(2,1) + matrix_(1,2)) / 2;

    ret <<  matrix_(1,1), matrix_(1,0),         lin2,
            matrix_(0,1), matrix_(0,0),         lin1,
            lin2        , lin1        , matrix_(2,2);

    return ret;
}

const Eigen::Matrix3d Equation::Matrix

(

)

const

Matrix Returns matrix of equation.

Returns

Matrix equation

Definition at line 76 of file equation.cpp.

                                           {
    return matrix_;
}

const Equation Equation::move

(

const geo::Coordinate &

v

)

const

move the quadratic equation by value V

Parameters

v	the coordinate value to move equation by.

Returns

moved equation.

Definition at line 48 of file equation.cpp.

                                      {
    Eigen::Matrix3d mat = translateMatrix(v).transpose() * matrix_ *  translateMatrix(v);
    return Equation(mat);
}

Equation & Equation::operator=

(

const Equation

qm

)

Definition at line 18 of file equation.cpp.

                                                 {
    matrix_ = qm.Matrix();
    return *this;
}

const Equation Equation::rotate

(

double

angle

)

const

rotate the quadratic equation by value V

Parameters

v	the angle value to rotate equation by.

Returns

rotated equation.

Definition at line 54 of file equation.cpp.

                                                  {
    const auto & m = rotationMatrix(angle);
    const auto & t = m.transpose();
    Eigen::Matrix3d ret = t * matrix_ * m;
    return Equation(ret);
}

const Equation Equation::rotate	(	const geo::Coordinate &	center,
		double	angle
	)		const

rotate the quadratic equation by value V at specific center.

Parameters

v	the angle value to rotate equation by.

Returns

rotated equation.

Definition at line 61 of file equation.cpp.

                                                         {
    return move(geo::Coordinate(-center.x(), -center.y()))
            .rotate(angle)
            .move(center);
}

Eigen::Matrix3d Equation::rotationMatrix ( double  angle )

static

rotationMatrix Rotates the matrix by an angle

Parameters

angle

Returns

Matrix equation

Definition at line 68 of file equation.cpp.

                                                   {
    Eigen::Matrix3d mat;
    mat <<  std::cos(angle)  , std::sin(angle) , 0,
            -std::sin(angle) , std::cos(angle) , 0,
            0                , 0               , 1;
    return mat;
}

Eigen::Matrix3d Equation::translateMatrix ( const geo::Coordinate &  v )

static

translateMatrix Translates the matrix by some coordinate value

Parameters

v	offset coordinate value

Returns

Matrix equation

Definition at line 80 of file equation.cpp.

                                                              {
    Eigen::Matrix3d mat;
    mat <<  1 , 0 , -v.x(),
            0 , 1 , -v.y(),
            0 , 0 ,  1;
    return mat;
}

Member Data Documentation

Eigen::Matrix3d lc::maths::Equation::matrix_

private

Definition at line 95 of file equation.h.

---

The documentation for this class was generated from the following files:

• lckernel/cad/math/equation.h
• lckernel/cad/math/equation.cpp