mpblocks::polynomial Namespace Reference

polynomial arithmetic and algorithms with no dynamic memory access More...

Classes
class	Difference
	expression template for sum of two matrix expressions More...
class	LValue
	expression template for rvalues More...
struct	Max
struct	MaxSelect
struct	MaxSelect< Val1, Val2, false >
struct	Min
struct	MinSelect
struct	MinSelect< Val1, Val2, false >
class	Negative
	expression template for sum of two matrix expressions More...
class	Normalized
	expression template for sum of two matrix expressions More...
class	Polynomial
	A dense, statically sized polynomial. More...
class	Polynomial< Scalar, Dynamic >
	A dense, dynamically sized polynomial. More...
class	Product
	expression template for sum of two matrix expressions More...
class	Quotient
	expression template for sum of two matrix expressions More...
class	RValue
	expression template for rvalues More...
class	SparsePolynomial
class	StreamAssignment
	assignment More...
class	SturmSequence
class	Sum
	expression template for sum of two matrix expressions More...

Functions
template<typename Scalar , class Exp1 , class Exp2 >
void	differentiate (const RValue< Scalar, Exp1 > &in, LValue< Scalar, Exp2 > &out, int n)
	evaluate a polynomial More...
template<typename Scalar , class Exp >
LValue< Scalar, Exp > &	lvalue (LValue< Scalar, Exp > &exp)
template<typename Scalar , class Exp >
Normalized< Scalar, Exp >	normalized (RValue< Scalar, Exp > const &exp)
template<typename Scalar , class Exp1 , class Exp2 >
Product< Scalar, Exp1, Exp2 >	operator* (RValue< Scalar, Exp1 > const &A, RValue< Scalar, Exp2 > const &B)
template<typename Scalar , class Exp1 , class Exp2 >
Sum< Scalar, Exp1, Exp2 >	operator+ (RValue< Scalar, Exp1 > const &A, RValue< Scalar, Exp2 > const &B)
template<typename Scalar , class Exp >
Negative< Scalar, Exp >	operator- (RValue< Scalar, Exp > const &exp)
template<typename Scalar , class Exp1 , class Exp2 >
Difference< Scalar, Exp1, Exp2 >	operator- (RValue< Scalar, Exp1 > const &A, RValue< Scalar, Exp2 > const &B)
template<typename Scalar , class Exp1 , class Exp2 >
Quotient< Scalar, Exp1, Exp2 >	operator/ (RValue< Scalar, Exp1 > const &A, RValue< Scalar, Exp2 > const &B)
template<typename Scalar , class Exp >
std::ostream &	operator<< (std::ostream &out, RValue< Scalar, Exp > const &p)
template<typename Scalar >
std::ostream &	operator<< (std::ostream &out, SturmSequence< Scalar > const &seq)
template<typename Scalar , class Exp >
Scalar	polyval (const RValue< Scalar, Exp > &poly, Scalar x)
	evaluate a polynomial More...
template<typename Scalar , class Exp >
void	preprint (std::vector< int > &spec, RValue< Scalar, Exp > const &p, const std::string &var="x")
template<typename Scalar , class Exp >
std::ostream &	print (std::ostream &out, RValue< Scalar, Exp > const &p, const std::string &var="x")
template<typename Scalar , class Exp >
std::ostream &	print (std::ostream &out, RValue< Scalar, Exp > const &p, const std::vector< int > &spec, const std::string &var="x")
template<typename Scalar >
std::ostream &	print (std::ostream &out, SturmSequence< Scalar > const &seq, const std::string &var="x")
template<typename T >
int	sgn (T val)
	signum More...

Detailed Description

polynomial arithmetic and algorithms with no dynamic memory access

polynomial arithmetic and algorithms

Function Documentation

template<typename Scalar , class Exp1 , class Exp2 >

void mpblocks::polynomial::differentiate	(	const RValue< Scalar, Exp1 > &	in,
		LValue< Scalar, Exp2 > &	out,
		int	n
	)

evaluate a polynomial

Definition at line 36 of file differentiate.h.

template<typename Scalar , class Exp >

LValue<Scalar,Exp>& mpblocks::polynomial::lvalue

(

LValue< Scalar, Exp > &

exp

)

Definition at line 97 of file LValue.h.

template<typename Scalar , class Exp >

Normalized<Scalar,Exp> mpblocks::polynomial::normalized

(

RValue< Scalar, Exp > const &

exp

)

Definition at line 70 of file Normalized.h.

template<typename Scalar , class Exp1 , class Exp2 >

Product<Scalar,Exp1,Exp2> mpblocks::polynomial::operator*	(	RValue< Scalar, Exp1 > const &	A,
		RValue< Scalar, Exp2 > const &	B
	)

Definition at line 82 of file Product.h.

template<typename Scalar , class Exp1 , class Exp2 >

Sum<Scalar,Exp1,Exp2> mpblocks::polynomial::operator+	(	RValue< Scalar, Exp1 > const &	A,
		RValue< Scalar, Exp2 > const &	B
	)

Definition at line 82 of file Sum.h.

template<typename Scalar , class Exp >

Negative<Scalar,Exp> mpblocks::polynomial::operator-

(

RValue< Scalar, Exp > const &

exp

)

Definition at line 70 of file Negative.h.

template<typename Scalar , class Exp1 , class Exp2 >

Difference<Scalar,Exp1,Exp2> mpblocks::polynomial::operator-	(	RValue< Scalar, Exp1 > const &	A,
		RValue< Scalar, Exp2 > const &	B
	)

Definition at line 81 of file Difference.h.

template<typename Scalar , class Exp1 , class Exp2 >

Quotient<Scalar,Exp1,Exp2> mpblocks::polynomial::operator/	(	RValue< Scalar, Exp1 > const &	A,
		RValue< Scalar, Exp2 > const &	B
	)

Definition at line 90 of file Quotient.h.

template<typename Scalar , class Exp >

std::ostream& mpblocks::polynomial::operator<<	(	std::ostream &	out,
		RValue< Scalar, Exp > const &	p
	)

Definition at line 103 of file ostream.h.

template<typename Scalar >

std::ostream& mpblocks::polynomial::operator<<	(	std::ostream &	out,
		SturmSequence< Scalar > const &	seq
	)

Definition at line 124 of file ostream.h.

template<typename Scalar , class Exp >

Scalar mpblocks::polynomial::polyval	(	const RValue< Scalar, Exp > &	poly,
		Scalar	x
	)

evaluate a polynomial

Definition at line 35 of file polyval.h.

template<typename Scalar , class Exp >

void mpblocks::polynomial::preprint	(	std::vector< int > &	spec,
		RValue< Scalar, Exp > const &	p,
		const std::string &	var = "x"
	)

Definition at line 82 of file ostream.h.

template<typename Scalar , class Exp >

std::ostream& mpblocks::polynomial::print	(	std::ostream &	out,
		RValue< Scalar, Exp > const &	p,
		const std::string &	var = "x"
	)

Definition at line 42 of file ostream.h.

template<typename Scalar , class Exp >

std::ostream& mpblocks::polynomial::print	(	std::ostream &	out,
		RValue< Scalar, Exp > const &	p,
		const std::vector< int > &	spec,
		const std::string &	var = "x"
	)

Definition at line 59 of file ostream.h.

template<typename Scalar >

std::ostream& mpblocks::polynomial::print	(	std::ostream &	out,
		SturmSequence< Scalar > const &	seq,
		const std::string &	var = "x"
	)

Definition at line 110 of file ostream.h.

template<typename T >

int mpblocks::polynomial::sgn

(

T

val

)

signum

Definition at line 40 of file polynomial.h.