#include "codac_Trajectory.h"
#include "codac_TrajectoryVector.h"
#include "codac_Matrix.h"

Include dependency graph for codac_traj_arithmetic.h:

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Namespaces
namespace	codac
	FixPoint of a separator The fixpoint of a separator is computed by calling the "::"separate function on a given box until the Hausdorff distance between two iterations is less than a given ratio. This operation can be seen as a contractor on the boundary of the solution set.

Functions
Scalar outputs
const Trajectory	codac::cos (const Trajectory &x)
	\(\cos(x(\cdot))\)

const Trajectory	codac::sin (const Trajectory &x)
	\(\sin(x(\cdot))\)

const Trajectory	codac::abs (const Trajectory &x)
	\(\mid x(\cdot)\mid\)

const Trajectory	codac::sqr (const Trajectory &x)
	\(x^2(\cdot)\)

const Trajectory	codac::sqrt (const Trajectory &x)
	\(\sqrt{x(\cdot)}\)

const Trajectory	codac::exp (const Trajectory &x)
	\(\exp(x(\cdot))\)

const Trajectory	codac::log (const Trajectory &x)
	\(\log(x(\cdot))\)

const Trajectory	codac::tan (const Trajectory &x)
	\(\tan(x(\cdot))\)

const Trajectory	codac::acos (const Trajectory &x)
	\(\arccos(x(\cdot))\)

const Trajectory	codac::asin (const Trajectory &x)
	\(\arcsin(x(\cdot))\)

const Trajectory	codac::atan (const Trajectory &x)
	\(\arctan(x(\cdot))\)

const Trajectory	codac::cosh (const Trajectory &x)
	\(\cosh(x(\cdot))\)

const Trajectory	codac::sinh (const Trajectory &x)
	\(\sinh(x(\cdot))\)

const Trajectory	codac::tanh (const Trajectory &x)
	\(\tanh(x(\cdot))\)

const Trajectory	codac::acosh (const Trajectory &x)
	\(\mathrm{arccosh}(x(\cdot))\)

const Trajectory	codac::asinh (const Trajectory &x)
	\(\mathrm{arcsinh}(x(\cdot))\)

const Trajectory	codac::atanh (const Trajectory &x)
	\(\mathrm{arctanh}(x(\cdot))\)

const Trajectory	codac::atan2 (const Trajectory &y, const Trajectory &x)
	\(\mathrm{arctan2}(y(\cdot),x(\cdot))\)

const Trajectory	codac::atan2 (const Trajectory &y, double x)
	\(\mathrm{arctan2}(y(\cdot),x)\)

const Trajectory	codac::atan2 (double y, const Trajectory &x)
	\(\mathrm{arctan2}(y, x(\cdot))\)

const Trajectory	codac::min (const Trajectory &y, const Trajectory &x)
	\(\min(y(\cdot),x(\cdot))\)

const Trajectory	codac::min (const Trajectory &y, double x)
	\(\min(y(\cdot),x)\)

const Trajectory	codac::min (double y, const Trajectory &x)
	\(\min(y, x(\cdot))\)

const Trajectory	codac::max (const Trajectory &y, const Trajectory &x)
	\(\max(y(\cdot),x(\cdot))\)

const Trajectory	codac::max (const Trajectory &y, double x)
	\(\max(y(\cdot),x)\)

const Trajectory	codac::max (double y, const Trajectory &x)
	\(\max(y, x(\cdot))\)

const Trajectory	codac::pow (const Trajectory &x, int p)
	\(x^p(\cdot)\)

const Trajectory	codac::pow (const Trajectory &x, double p)
	\(x^p(\cdot)\)

const Trajectory	codac::root (const Trajectory &x, int p)
	\(\sqrt[p]{x(\cdot)}\)

const Trajectory	codac::operator+ (const Trajectory &x)
	\(x(\cdot)\)

const Trajectory	codac::operator+ (const Trajectory &x, const Trajectory &y)
	\(x(\cdot)+y(\cdot)\)

const Trajectory	codac::operator+ (const Trajectory &x, double y)
	\(x(\cdot)+y\)

const Trajectory	codac::operator+ (double x, const Trajectory &y)
	\(x+y(\cdot)\)

const Trajectory	codac::operator- (const Trajectory &x)
	\(-x(\cdot)\)

const Trajectory	codac::operator- (const Trajectory &x, const Trajectory &y)
	\(x(\cdot)-y(\cdot)\)

const Trajectory	codac::operator- (const Trajectory &x, double y)
	\(x(\cdot)-y\)

const Trajectory	codac::operator- (double x, const Trajectory &y)
	\(x-y(\cdot)\)

const Trajectory	codac::operator* (const Trajectory &x, const Trajectory &y)
	\(x(\cdot)\cdot y(\cdot)\)

const Trajectory	codac::operator* (const Trajectory &x, double y)
	\(x(\cdot)\cdot y\)

const Trajectory	codac::operator* (double x, const Trajectory &y)
	\(x\cdot y(\cdot)\)

const Trajectory	codac::operator/ (const Trajectory &x, const Trajectory &y)
	\(x(\cdot)/y(\cdot)\)

const Trajectory	codac::operator/ (const Trajectory &x, double y)
	\(x(\cdot)/y\)

const Trajectory	codac::operator/ (double x, const Trajectory &y)
	\(x/y(\cdot)\)

Vector outputs
const TrajectoryVector	codac::operator+ (const TrajectoryVector &x)
	\(\mathbf{x}(\cdot)\)

const TrajectoryVector	codac::operator+ (const TrajectoryVector &x, const TrajectoryVector &y)
	\(\mathbf{x}(\cdot)+\mathbf{y}(\cdot)\)

const TrajectoryVector	codac::operator+ (const TrajectoryVector &x, const Vector &y)
	\(\mathbf{x}(\cdot)+\mathbf{y}\)

const TrajectoryVector	codac::operator+ (const Vector &x, const TrajectoryVector &y)
	\(\mathbf{x}+\mathbf{y}(\cdot)\)

const TrajectoryVector	codac::operator- (const TrajectoryVector &x)
	\(-\mathbf{x}(\cdot)\)

const TrajectoryVector	codac::operator- (const TrajectoryVector &x, const TrajectoryVector &y)
	\(\mathbf{x}(\cdot)-\mathbf{y}(\cdot)\)

const TrajectoryVector	codac::operator- (const TrajectoryVector &x, const Vector &y)
	\(\mathbf{x}(\cdot)-\mathbf{y}\)

const TrajectoryVector	codac::operator- (const Vector &x, const TrajectoryVector &y)
	\(\mathbf{x}-\mathbf{y}(\cdot)\)

const TrajectoryVector	codac::operator* (double x, const TrajectoryVector &y)
	\(x\cdot\mathbf{y}(\cdot)\)

const TrajectoryVector	codac::operator* (const Trajectory &x, const TrajectoryVector &y)
	\(x(\cdot)\cdot\mathbf{y}(\cdot)\)

const TrajectoryVector	codac::operator* (const Trajectory &x, const Vector &y)
	\(x(\cdot)\cdot\mathbf{y}\)

const TrajectoryVector	codac::operator* (const Matrix &x, const TrajectoryVector &y)
	\(x(\cdot)\cdot\mathbf{y}\)

const TrajectoryVector	codac::operator/ (const TrajectoryVector &x, double y)
	\(\mathbf{x}(\cdot)/y\)

const TrajectoryVector	codac::operator/ (const TrajectoryVector &x, const Trajectory &y)
	\(\mathbf{x}(\cdot)/y(\cdot)\)

const TrajectoryVector	codac::operator/ (const Vector &x, const Trajectory &y)
	\(\mathbf{x}/y(\cdot)\)

const Vector	codac::vecto_product (const Vector &x, const Vector &y)
	\(\mathbf{x}\times\mathbf{y}\) (or \(\mathbf{x}\wedge\mathbf{y}\) in physics)

const TrajectoryVector	codac::vecto_product (const TrajectoryVector &x, const Vector &y)
	\(\mathbf{x}(\cdot)\times\mathbf{y}\) (or \(\mathbf{x}(\cdot)\wedge\mathbf{y}\) in physics)

const TrajectoryVector	codac::vecto_product (const Vector &x, const TrajectoryVector &y)
	\(\mathbf{x}\times\mathbf{y}(\cdot)\) (or \(\mathbf{x}\wedge\mathbf{y}(\cdot)\) in physics)

const TrajectoryVector	codac::abs (const TrajectoryVector &x)
	\(\mid\mathbf{x}(\cdot)\mid\)

Detailed Description

Arithmetic operations on trajectories

Date: 2019

Author: Simon Rohou

License: This program is distributed under the terms of: the GNU Lesser General Public License (LGPL).

Namespaces

Functions

Detailed Description

Arithmetic operations on trajectories