polynomial.hpp File Reference

#include <cmath>
#include "cartesian_point.hpp"
#include "function_math.hpp"
#include "pascals_triangle.hpp"
#include <ecl/config/macros.hpp>
#include <ecl/concepts/macros.hpp>
#include <ecl/concepts/streams.hpp>
#include <ecl/containers/array.hpp>
#include <ecl/exceptions/standard_exception.hpp>
#include <ecl/errors/compile_time_assert.hpp>
#include <ecl/utilities/blueprints.hpp>
#include <ecl/formatters/floats.hpp>
#include <iostream>
#include "macros.hpp"

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Classes
class	ecl::BluePrintFactory< CubicPolynomial >
	Blueprint factory for cubic polynomials.
class	ecl::BluePrintFactory< LinearFunction >
	Blueprint factory for linear functions.
class	ecl::BluePrintFactory< Polynomial< N > >
	Primary template for the Polynomial blueprint factories.
class	ecl::BluePrintFactory< QuinticPolynomial >
	Blueprint factory for quintic polynomials.
class	ecl::blueprints::CubicDerivativeInterpolation
	Blueprint for interpolating a cubic polynomial between end point conditions.
class	ecl::blueprints::CubicSecondDerivativeInterpolation
	Blueprint for interpolating a cubic polynomial between end point conditions.
class	ecl::Division< CubicPolynomial >
	Synthetic division between cubic and a factor.
class	ecl::Division< QuadraticPolynomial >
	Synthetic division between quadratic and a factor.
class	ecl::FunctionMath< CubicPolynomial >
	Specialises the function math loader for cubics.
class	ecl::FunctionMath< LinearFunction >
	Specialises the function math loader for linear functions.
class	ecl::FunctionMath< QuadraticPolynomial >
	Specialises the function math loader for quadratics.
class	ecl::Intersection< LinearFunction >
	Intersection of two linear functions.
class	ecl::blueprints::LinearInterpolation
	Blueprint for interpolating a linear function connecting end point conditions.
class	ecl::blueprints::LinearPointSlopeForm
	Blueprint for generating a linear function from slope and point pair.
class	ecl::Maximum< CubicPolynomial >
	Mathematical maximum on a compact interval for cubic polynomials.
class	ecl::Maximum< LinearFunction >
	Mathematical maximum on a compact interval for linear functions.
class	ecl::Minimum< CubicPolynomial >
	Mathematical minimum on a compact interval for cubic polynomials.
class	ecl::Minimum< LinearFunction >
	Mathematical minimum on a compact interval for linear functions.
class	ecl::Polynomial< N >
	Representation of a polynomial function of n-th degree.
class	ecl::Polynomial< N >
	Representation of a polynomial function of n-th degree.
class	ecl::Polynomial< 0 >
	Specialisation for the zero-th order polynomial.
class	ecl::blueprints::QuinticInterpolation
	Blueprint for interpolating a quintic polynomial between end point conditions.
class	ecl::Roots< CubicPolynomial >
	X axis intercepts for cubic polynomials.
class	ecl::Roots< LinearFunction >
	X axis intercepts for linear functions.
class	ecl::Roots< QuadraticPolynomial >
	X axis intercepts for quadratics.

Namespaces
	ecl
	ecl::blueprints

Typedefs
typedef Polynomial< 3 >	ecl::CubicPolynomial
	Mathematical term for 3rd order polynomials. More...
typedef Polynomial< 1 >	ecl::LinearFunction
	Mathematical term for 1st order polynomials. More...
typedef Polynomial< 2 >	ecl::QuadraticPolynomial
	Mathematical term for 2nd order polynomials. More...
typedef Polynomial< 5 >	ecl::QuinticPolynomial
	Mathematical term for 5th order polynomials. More...

Functions
OutputStream &	ecl::operator<< (OutputStream &ostream, const Polynomial< Degree > &polynomial)