symbolic Class Reference

#include <symbolic.h>

Collaboration diagram for symbolic:

Public Member Functions
	symbolic ()
	~symbolic ()
void	init ()
sym	regvar (const std::string &name)
sym	regconst (const std::string &name)
sym	regvar_indep (const std::string &name)
sym	var (const std::string &name)
void	set_value (const char *name, const matrix &value, int parity=0)
void	set_map (const mapping &map)
sym::sym_expr *	derive (const sym::sym_expr &, const sym::symbol &)
matrix	get_value (const sym::sym_expr &)
sym	Dz (const sym &)
sym	Dt (const sym &)
sym	Dphi (const sym &)
sym	det (const sym_tens &)
sym_tens	inv (const sym_tens &)
sym_vec	contravariant (const sym_vec &)
sym_vec	covariant (const sym_vec &)
sym_tens	contravariant_contravariant (const sym_tens &)
sym_tens	contravariant_covariant (const sym_tens &)
sym_tens	covariant_contravariant (const sym_tens &)
sym_tens	covariant_covariant (const sym_tens &)
double	perm (int i, int j, int k)
sym_vec	gradient (const sym &)
sym	christoffel (int, int, int)
sym	covderiv (const sym_vec &, int, int)
sym_tens	gradient (const sym_vec &)
sym	divergence (const sym_vec &v)
sym_vec	divergence (const sym_tens &t)
sym	laplacian (const sym &s)
	Returns the symbolic expression of the laplacian of s. More...
sym_vec	curl (const sym_vec &v)
sym_vec	laplacian (const sym_vec &v)
sym_tens	stress (const sym_vec &v)

Static Public Member Functions
static double	round_to_tol (double)

Public Attributes
sym	r
sym	zeta
sym	theta
sym	phi
sym	sqrt_g
sym	rz
sym	rt
sym	rzz
sym	rzt
sym	rtt
sym_tens	g
sym_tens	g_
sym	x [3]
const sym &	one

Static Public Attributes
static double	tol =1e-14
static bool	expand_products =true
static bool	trig_simplify =false
static bool	axisymmetric =true
static bool	spherical =false

Private Member Functions
sym	d (const sym &s, int k)
sym	G (int i, int j, int k)
void	add (const sym &s, solver *op, int n, std::string type, std::string eq_name, std::string var_name, const matrix &d)
void	add_bc (const sym &s, solver *op, int n, std::string type, std::string eq_name, std::string var_name, const matrix &d)

Private Attributes
std::map< std::string, sym::symbol >	vars
std::map< std::string, matrix >	val
std::map< std::string, int >	par
mapping	map
sym	one_
int	maxder

Friends
class	sym

Constructor & Destructor Documentation

symbolic::symbolic

(

)

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symbolic::~symbolic ( )

inline

Member Function Documentation

void symbolic::add ( const sym &  s, solver *  op, int  n, std::string  type, std::string  eq_name, std::string  var_name, const matrix &  d  )

private

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void symbolic::add_bc ( const sym &  s, solver *  op, int  n, std::string  type, std::string  eq_name, std::string  var_name, const matrix &  d  )

private

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sym symbolic::christoffel	(	int	i,
		int	j,
		int	k
	)

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sym_vec symbolic::contravariant

(

const sym_vec &

s

)

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sym_tens symbolic::contravariant_contravariant

(

const sym_tens &

s

)

sym_tens symbolic::contravariant_covariant

(

const sym_tens &

s

)

sym_vec symbolic::covariant

(

const sym_vec &

s

)

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sym_tens symbolic::covariant_contravariant

(

const sym_tens &

s

)

sym_tens symbolic::covariant_covariant

(

const sym_tens &

s

)

sym symbolic::covderiv	(	const sym_vec &	v,
		int	i,
		int	k
	)

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sym_vec symbolic::curl

(

const sym_vec &

v

)

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sym symbolic::d ( const sym &  s, int  k  )

inlineprivate

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sym::sym_expr * symbolic::derive	(	const sym::sym_expr &	f,
		const sym::symbol &	x
	)

sym symbolic::det

(

const sym_tens &

g

)

sym symbolic::divergence

(

const sym_vec &

v

)

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sym_vec symbolic::divergence

(

const sym_tens &

t

)

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sym symbolic::Dphi

(

const sym &

s

)

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sym symbolic::Dt

(

const sym &

s

)

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sym symbolic::Dz

(

const sym &

s

)

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sym symbolic::G ( int  i, int  j, int  k  )

inlineprivate

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matrix symbolic::get_value

(

const sym::sym_expr &

s

)

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sym_vec symbolic::gradient

(

const sym &

s

)

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sym_tens symbolic::gradient

(

const sym_vec &

v

)

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void symbolic::init

(

)

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sym_tens symbolic::inv

(

const sym_tens &

g

)

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sym symbolic::laplacian

(

const sym &

s

)

Returns the symbolic expression of the laplacian of s.

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sym_vec symbolic::laplacian

(

const sym_vec &

v

)

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double symbolic::perm	(	int	i,
		int	j,
		int	k
	)

sym symbolic::regconst

(

const std::string &

name

)

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sym symbolic::regvar

(

const std::string &

name

)

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sym symbolic::regvar_indep

(

const std::string &

name

)

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double symbolic::round_to_tol ( double  value )

static

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void symbolic::set_map

(

const mapping &

map

)

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void symbolic::set_value	(	const char *	name,
		const matrix &	value,
		int	parity = 0
	)

sym_tens symbolic::stress

(

const sym_vec &

v

)

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sym symbolic::var

(

const std::string &

name

)

Friends And Related Function Documentation

friend class sym

friend

Member Data Documentation

bool symbolic::axisymmetric =true

static

bool symbolic::expand_products =true

static

sym_tens symbolic::g

sym_tens symbolic::g_

mapping symbolic::map

private

int symbolic::maxder

private

const sym& symbolic::one

sym symbolic::one_

private

std::map<std::string,int> symbolic::par

private

sym symbolic::phi

sym symbolic::r

sym symbolic::rt

sym symbolic::rtt

sym symbolic::rz

sym symbolic::rzt

sym symbolic::rzz

bool symbolic::spherical =false

static

sym symbolic::sqrt_g

sym symbolic::theta

double symbolic::tol =1e-14

static

bool symbolic::trig_simplify =false

static

std::map<std::string,matrix> symbolic::val

private

std::map<std::string,sym::symbol> symbolic::vars

private

sym symbolic::x[3]

sym symbolic::zeta

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

• src/include/symbolic.h
• src/symbolic/symbolic.cpp