lass::num::Polynomial< T > Class Template Reference

an univariate polynomial. More...

#include <polynomial.h>

Public Types
typedef Polynomial< T >	TSelf
typedef NumTraits< T >	TNumTraits
typedef util::CallTraits< T > ::TValue	TValue
typedef util::CallTraits< T > ::TParam	TParam
typedef util::CallTraits< T > ::TReference	TReference
typedef util::CallTraits< T > ::TConstReference	TConstReference
typedef std::vector< TValue >	TCoefficients
typedef TCoefficients::size_type	size_type
typedef TCoefficients::const_iterator	const_iterator
Public Member Functions
	Polynomial ()
	Polynomial (TParam iScalar)
	Polynomial (const TCoefficients &iCoefficients)
template<typename InputIterator >
	Polynomial (InputIterator iBegin, InputIterator iEnd)
const TCoefficients &	coefficients () const
const TValue	operator[] (size_t iIndex) const
const TValue	at (size_t iIndex) const
const TValue	operator() (TParam iX) const
const Polynomial< T > &	operator+ () const
const Polynomial< T >	operator- () const
Polynomial< T > &	operator+= (const Polynomial< T > &iOther)
Polynomial< T > &	operator-= (const Polynomial< T > &iOther)
Polynomial< T > &	operator*= (const Polynomial< T > &iOther)
Polynomial< T > &	operator+= (TParam iScalar)
Polynomial< T > &	operator-= (TParam iScalar)
Polynomial< T > &	operator*= (TParam iScalar)
Polynomial< T > &	operator/= (TParam iScalar)
Polynomial< T >	derivative () const
Polynomial< T >	integral () const
Polynomial< T >	pow (unsigned iPower) const
const size_type	size () const
	return size of coefficients.
const const_iterator	begin () const
	return iterator to first (lowest) coefficient
const const_iterator	end () const
	return iterator to last (highest) coefficient
Static Public Member Functions
static Polynomial< T >	one ()
	return constant polynomial 1
static Polynomial< T >	x ()
	return linear polynomial x
Private Attributes
TCoefficients	a_

---

Detailed Description

template<typename T>
class lass::num::Polynomial< T >

an univariate polynomial.

Author:

Bram de Greve [BdG]

A polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients., Eric W. Weisstein. "Polynomial." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Polynomial.html

Definition at line 67 of file polynomial.h.

---

Member Typedef Documentation

template<typename T >

typedef Polynomial<T> lass::num::Polynomial< T >::TSelf

Definition at line 71 of file polynomial.h.

template<typename T >

typedef NumTraits<T> lass::num::Polynomial< T >::TNumTraits

Definition at line 72 of file polynomial.h.

template<typename T >

typedef util::CallTraits<T>::TValue lass::num::Polynomial< T >::TValue

Definition at line 73 of file polynomial.h.

template<typename T >

typedef util::CallTraits<T>::TParam lass::num::Polynomial< T >::TParam

Definition at line 74 of file polynomial.h.

template<typename T >

typedef util::CallTraits<T>::TReference lass::num::Polynomial< T >::TReference

Definition at line 75 of file polynomial.h.

template<typename T >

typedef util::CallTraits<T>::TConstReference lass::num::Polynomial< T >::TConstReference

Definition at line 76 of file polynomial.h.

template<typename T >

typedef std::vector<TValue> lass::num::Polynomial< T >::TCoefficients

Definition at line 78 of file polynomial.h.

template<typename T >

typedef TCoefficients::size_type lass::num::Polynomial< T >::size_type

Definition at line 79 of file polynomial.h.

template<typename T >

typedef TCoefficients::const_iterator lass::num::Polynomial< T >::const_iterator

Definition at line 80 of file polynomial.h.

---

Constructor & Destructor Documentation

template<typename T >

lass::num::Polynomial< T >::Polynomial

(

)

[inline]

Definition at line 57 of file polynomial.inl.

template<typename T >

lass::num::Polynomial< T >::Polynomial

(

TParam

iScalar

)

[inline, explicit]

Definition at line 63 of file polynomial.inl.

template<typename T >

lass::num::Polynomial< T >::Polynomial

(

const TCoefficients &

iCoefficients

)

[inline, explicit]

Definition at line 71 of file polynomial.inl.

template<typename T >

template<typename InputIterator >

lass::num::Polynomial< T >::Polynomial	(	InputIterator	iBegin,
		InputIterator	iEnd
	)			[inline]

Definition at line 79 of file polynomial.inl.

---

Member Function Documentation

template<typename T >

const Polynomial< T >::TCoefficients & lass::num::Polynomial< T >::coefficients

(

)

const [inline]

Definition at line 88 of file polynomial.inl.

References lass::num::Polynomial< T >::a_.

Referenced by lass::num::operator<<(), lass::num::operator==(), and lass::num::Polynomial< T >::x().

template<typename T >

const Polynomial< T >::TValue lass::num::Polynomial< T >::operator[]

(

size_t

iIndex

)

const [inline]

Definition at line 97 of file polynomial.inl.

References lass::num::Polynomial< T >::a_, and LASS_ASSERT.

template<typename T >

const Polynomial< T >::TValue lass::num::Polynomial< T >::at

(

size_t

iIndex

)

const [inline]

Definition at line 107 of file polynomial.inl.

References lass::num::Polynomial< T >::a_, and lass::num::NumTraits< C >::zero.

template<typename T >

const Polynomial< T >::TValue lass::num::Polynomial< T >::operator()

(

TParam

iX

)

const [inline]

Definition at line 116 of file polynomial.inl.

References lass::num::Polynomial< T >::a_, lass::num::NumTraits< C >::one, lass::num::Polynomial< T >::x(), and lass::num::NumTraits< C >::zero.

template<typename T >

const Polynomial< T > & lass::num::Polynomial< T >::operator+

(

)

const [inline]

Definition at line 132 of file polynomial.inl.

template<typename T >

const Polynomial< T > lass::num::Polynomial< T >::operator-

(

)

const [inline]

Definition at line 140 of file polynomial.inl.

References lass::num::Polynomial< T >::a_.

template<typename T >

Polynomial< T > & lass::num::Polynomial< T >::operator+=

(

const Polynomial< T > &

iOther

)

[inline]

Definition at line 154 of file polynomial.inl.

References lass::num::Polynomial< T >::a_, and lass::num::NumTraits< C >::zero.

template<typename T >

Polynomial< T > & lass::num::Polynomial< T >::operator-=

(

const Polynomial< T > &

iOther

)

[inline]

Definition at line 171 of file polynomial.inl.

References lass::num::Polynomial< T >::a_, and lass::num::NumTraits< C >::zero.

template<typename T >

Polynomial< T > & lass::num::Polynomial< T >::operator*=

(

const Polynomial< T > &

iOther

)

[inline]

Definition at line 188 of file polynomial.inl.

References lass::num::Polynomial< T >::a_, and lass::num::NumTraits< C >::zero.

template<typename T >

Polynomial< T > & lass::num::Polynomial< T >::operator+=

(

TParam

iScalar

)

[inline]

Definition at line 208 of file polynomial.inl.

References lass::num::Polynomial< T >::a_.

template<typename T >

Polynomial< T > & lass::num::Polynomial< T >::operator-=

(

TParam

iScalar

)

[inline]

Definition at line 224 of file polynomial.inl.

References lass::num::Polynomial< T >::a_.

template<typename T >

Polynomial< T > & lass::num::Polynomial< T >::operator*=

(

TParam

iScalar

)

[inline]

Definition at line 240 of file polynomial.inl.

References lass::num::Polynomial< T >::a_.

template<typename T >

Polynomial< T > & lass::num::Polynomial< T >::operator/=

(

TParam

iScalar

)

[inline]

Definition at line 253 of file polynomial.inl.

References lass::num::Polynomial< T >::a_.

template<typename T >

Polynomial< T > lass::num::Polynomial< T >::derivative

(

)

const [inline]

Definition at line 266 of file polynomial.inl.

References lass::num::Polynomial< T >::a_, and lass::stde::T.

Referenced by lass::num::PolynomialQuotient< T >::derivative().

template<typename T >

Polynomial< T > lass::num::Polynomial< T >::integral

(

)

const [inline]

Definition at line 284 of file polynomial.inl.

References lass::num::Polynomial< T >::a_, lass::stde::T, and lass::num::NumTraits< C >::zero.

template<typename T >

Polynomial< T > lass::num::Polynomial< T >::pow

(

unsigned

iPower

)

const [inline]

Definition at line 303 of file polynomial.inl.

Referenced by lass::num::PolynomialQuotient< T >::pow().

template<typename T >

const Polynomial< T >::size_type lass::num::Polynomial< T >::size

(

)

const [inline]

return size of coefficients.

Definition at line 318 of file polynomial.inl.

References lass::num::Polynomial< T >::a_.

template<typename T >

const Polynomial< T >::const_iterator lass::num::Polynomial< T >::begin

(

)

const [inline]

return iterator to first (lowest) coefficient

Definition at line 328 of file polynomial.inl.

References lass::num::Polynomial< T >::a_.

template<typename T >

const Polynomial< T >::const_iterator lass::num::Polynomial< T >::end

(

)

const [inline]

return iterator to last (highest) coefficient

Definition at line 338 of file polynomial.inl.

References lass::num::Polynomial< T >::a_.

template<typename T >

Polynomial< T > lass::num::Polynomial< T >::one

(

)

[inline, static]

return constant polynomial 1

Definition at line 348 of file polynomial.inl.

template<typename T >

Polynomial< T > lass::num::Polynomial< T >::x

(

)

[inline, static]

return linear polynomial x

Definition at line 359 of file polynomial.inl.

References lass::num::Polynomial< T >::coefficients().

Referenced by lass::num::Polynomial< T >::operator()().

---

Field Documentation

template<typename T >

TCoefficients lass::num::Polynomial< T >::a_ [private]

Definition at line 118 of file polynomial.h.

Referenced by lass::num::Polynomial< T >::at(), lass::num::Polynomial< T >::begin(), lass::num::Polynomial< T >::coefficients(), lass::num::Polynomial< T >::derivative(), lass::num::Polynomial< T >::end(), lass::num::Polynomial< T >::integral(), lass::num::Polynomial< T >::operator()(), lass::num::Polynomial< T >::operator*=(), lass::num::Polynomial< T >::operator+=(), lass::num::Polynomial< T >::operator-(), lass::num::Polynomial< T >::operator-=(), lass::num::Polynomial< T >::operator/=(), lass::num::Polynomial< T >::operator[](), and lass::num::Polynomial< T >::size().

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

• polynomial.h
• polynomial.inl