#include "ester-config.h"
#include <vector>
#include <map>
#include <string>
#include <iostream>
#include <cmath>
#include "matrix.h"
#include "mapping.h"
#include "solver.h"

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Classes
class	rational

class	sym

class	sym_vec

class	sym_tens

class	symbolic

class	sym::sym_expr

class	sym::sym_num

class	sym::symbol

class	sym::sym_deriv

class	sym::sym_add

class	sym::sym_prod

class	sym::sym_sin

class	sym::sym_cos

class	sym::sym_exp

class	sym::sym_log

Enumerations
enum	sym_vec_type { COVARIANT, CONTRAVARIANT }

Functions
rational	operator+ (const int &n, const rational &q)

rational	operator- (const int &n, const rational &q)

rational	operator* (const int &n, const rational &q)

rational	operator/ (const int &n, const rational &q)

rational	operator+ (const rational &q, const int &n)

rational	operator- (const rational &q, const int &n)

rational	operator* (const rational &q, const int &n)

rational	operator/ (const rational &q, const int &n)

double	operator+ (const double &n, const rational &q)

double	operator- (const double &n, const rational &q)

double	operator* (const double &n, const rational &q)

double	operator/ (const double &n, const rational &q)

double	operator+ (const rational &q, const double &n)

double	operator- (const rational &q, const double &n)

double	operator* (const rational &q, const double &n)

double	operator/ (const rational &q, const double &n)

rational	abs (const rational &q)

std::ostream &	operator<< (std::ostream &os, const rational &)

sym	operator+ (const sym &, const sym &)

sym	operator+ (double n, const sym &s)

sym	operator+ (const sym &s, double n)

sym	operator+ (const sym &s)

sym	operator* (const sym &, const sym &)

sym	operator* (double n, const sym &s)

sym	operator* (const sym &s, double n)

sym	operator- (const sym &s)

template<class T >
sym	operator- (const sym &s1, const T &s2)

sym	operator- (double n, const sym &s2)

sym	pow (const sym &, const rational &)

sym	pow (const sym &s, const int &n)

template<class T >
sym	operator/ (const sym &s1, const T &s2)

sym	operator/ (double n, const sym &s2)

sym	sqrt (const sym &s)

sym	sin (const sym &)

sym	cos (const sym &)

sym	tan (const sym &)

sym	exp (const sym &)

sym	log (const sym &)

sym	pow (const sym &, const sym &)

sym	pow (const sym &s, const double &n)

sym	pow (const double &n, const sym &s)

sym	diff (const sym &, const sym &)

sym	jacobian (const sym &, const sym &)

std::ostream &	operator<< (std::ostream &os, const sym &)

sym	trig_simplify (const sym &)

sym_vec	trig_simplify (const sym_vec &)

sym_tens	trig_simplify (const sym_tens &)

sym_vec	operator+ (const sym_vec &v)

sym_vec	operator- (const sym_vec &v)

sym_vec	operator- (const sym_vec &v, const sym_vec &w)

sym_vec	operator* (const sym &s, const sym_vec &v)

sym_vec	operator* (double n, const sym_vec &v)

sym_vec	cross (const sym_vec &, const sym_vec &)

sym_tens	tensor (const sym_vec &, const sym_vec &)

std::ostream &	operator<< (std::ostream &os, const sym_vec &)

sym_tens	operator+ (const sym_tens &v)

sym_tens	operator- (const sym_tens &v)

sym_tens	operator- (const sym_tens &v, const sym_tens &w)

sym_tens	operator* (const sym &s, const sym_tens &v)

sym_tens	operator* (double n, const sym_tens &v)

std::ostream &	operator<< (std::ostream &os, const sym_tens &)

sym_vec	contravariant (const sym_vec &s)

sym_vec	covariant (const sym_vec &s)

sym_tens	contravariant_contravariant (const sym_tens &s)

sym_tens	contravariant_covariant (const sym_tens &s)

sym_tens	covariant_contravariant (const sym_tens &s)

sym_tens	covariant_covariant (const sym_tens &s)

sym_vec	grad (const sym &s)

sym_tens	grad (const sym_vec &v)

sym	div (const sym_vec &v)

sym_vec	div (const sym_tens &t)

sym	lap (const sym &s)
	Returns the laplacian of the expression `s`. More...

sym_vec	curl (const sym_vec &v)

sym_vec	lap (const sym_vec &v)

sym_tens	stress (const sym_vec &v)

sym	Dz (const sym &s)

sym	Dt (const sym &s)

sym	Dphi (const sym &s)

std::ostream &	operator<< (std::ostream &os, const sym::sym_expr &)

bool	sort_pair_d (const std::pair< sym::sym_expr , double > &, const std::pair< sym::sym_expr , double > &)

bool	sort_pair_r (const std::pair< sym::sym_expr , rational > &, const std::pair< sym::sym_expr , rational > &)

Enumeration Type Documentation

enum sym_vec_type

Enumerator
COVARIANT
CONTRAVARIANT

Function Documentation

rational abs ( const rational & q )

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sym_vec contravariant ( const sym_vec & s )

inline

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sym_tens contravariant_contravariant ( const sym_tens & s )

inline

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sym_tens contravariant_covariant ( const sym_tens & s )

inline

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sym cos ( const sym & )

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sym_vec covariant ( const sym_vec & s )

inline

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sym_tens covariant_contravariant ( const sym_tens & s )

inline

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sym_tens covariant_covariant ( const sym_tens & s )

inline

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sym_vec cross	(	const sym_vec &	,
		const sym_vec &
	)

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sym_vec curl ( const sym_vec & v )

inline

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sym diff	(	const sym &	,
		const sym &
	)

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sym div ( const sym_vec & v )

inline

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sym_vec div ( const sym_tens & t )

inline

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sym Dphi ( const sym & s )

inline

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sym Dt ( const sym & s )

inline

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sym Dz ( const sym & s )

inline

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sym exp ( const sym & )

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sym_vec grad ( const sym & s )

inline

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sym_tens grad ( const sym_vec & v )

inline

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sym jacobian	(	const sym &	,
		const sym &
	)

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sym lap ( const sym & s )

inline

Returns the laplacian of the expression s.

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sym_vec lap ( const sym_vec & v )

inline

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sym log ( const sym & )

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rational operator*	(	const int &	n,
		const rational &	q
	)

inline

rational operator*	(	const rational &	q,
		const int &	n
	)

inline

double operator*	(	const double &	n,
		const rational &	q
	)

inline

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double operator*	(	const rational &	q,
		const double &	n
	)

inline

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sym operator*	(	const sym &	,
		const sym &
	)

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sym operator*	(	double	n,
		const sym &	s
	)

inline

sym operator*	(	const sym &	s,
		double	n
	)

inline

sym_vec operator*	(	const sym &	s,
		const sym_vec &	v
	)

inline

sym_vec operator*	(	double	n,
		const sym_vec &	v
	)

inline

sym_tens operator*	(	const sym &	s,
		const sym_tens &	v
	)

inline

sym_tens operator*	(	double	n,
		const sym_tens &	v
	)

inline

rational operator+	(	const int &	n,
		const rational &	q
	)

inline

rational operator+	(	const rational &	q,
		const int &	n
	)

inline

double operator+	(	const double &	n,
		const rational &	q
	)

inline

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double operator+	(	const rational &	q,
		const double &	n
	)

inline

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sym operator+	(	const sym &	,
		const sym &
	)

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sym operator+	(	double	n,
		const sym &	s
	)

inline

sym operator+	(	const sym &	s,
		double	n
	)

inline

sym operator+ ( const sym & s )

inline

sym_vec operator+ ( const sym_vec & v )

inline

sym_tens operator+ ( const sym_tens & v )

inline

rational operator-	(	const int &	n,
		const rational &	q
	)

inline

rational operator-	(	const rational &	q,
		const int &	n
	)

inline

double operator-	(	const double &	n,
		const rational &	q
	)

inline

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double operator-	(	const rational &	q,
		const double &	n
	)

inline

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sym operator- ( const sym & s )

inline

template<class T >

sym operator-	(	const sym &	s1,
		const T &	s2
	)

sym operator-	(	double	n,
		const sym &	s2
	)

inline

sym_vec operator- ( const sym_vec & v )

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sym_vec operator-	(	const sym_vec &	v,
		const sym_vec &	w
	)

inline

sym_tens operator- ( const sym_tens & v )

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sym_tens operator-	(	const sym_tens &	v,
		const sym_tens &	w
	)

inline

rational operator/	(	const int &	n,
		const rational &	q
	)

inline

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rational operator/	(	const rational &	q,
		const int &	n
	)

inline

double operator/	(	const double &	n,
		const rational &	q
	)

inline

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double operator/	(	const rational &	q,
		const double &	n
	)

inline

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template<class T >

sym operator/	(	const sym &	s1,
		const T &	s2
	)

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sym operator/	(	double	n,
		const sym &	s2
	)

inline

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std::ostream& operator<<	(	std::ostream &	os,
		const rational &
	)

std::ostream& operator<<	(	std::ostream &	os,
		const sym &
	)

std::ostream& operator<<	(	std::ostream &	os,
		const sym_vec &
	)

std::ostream& operator<<	(	std::ostream &	os,
		const sym_tens &
	)

std::ostream& operator<<	(	std::ostream &	os,
		const sym::sym_expr &
	)

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sym pow	(	const sym &	,
		const rational &
	)

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sym pow	(	const sym &	s,
		const int &	n
	)

inline

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sym pow	(	const sym &	,
		const sym &
	)

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sym pow	(	const sym &	s,
		const double &	n
	)

inline

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sym pow	(	const double &	n,
		const sym &	s
	)

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sym sin ( const sym & )

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bool sort_pair_d	(	const std::pair< sym::sym_expr *, double > &	,
		const std::pair< sym::sym_expr *, double > &
	)

bool sort_pair_r	(	const std::pair< sym::sym_expr *, rational > &	,
		const std::pair< sym::sym_expr *, rational > &
	)

sym sqrt ( const sym & s )

inline

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sym_tens stress ( const sym_vec & v )

inline

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sym tan ( const sym & )

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sym_tens tensor	(	const sym_vec &	,
		const sym_vec &
	)

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sym trig_simplify ( const sym & )

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sym_vec trig_simplify ( const sym_vec & )

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sym_tens trig_simplify ( const sym_tens & )

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Classes

Enumerations

Functions

Enumeration Type Documentation

Function Documentation