Utility

Collaboration diagram for Utility:

Namespaces
namespace	suanpan
namespace	interpolation
namespace	area
namespace	shape
namespace	tensor
namespace	transform

Concepts
concept	Differentiable

Classes
class	ExternalModule
	A ExternalModule class handles communication between the main program and external library. More...
class	load
class	B2DC
	A B2DC class. More...
class	B2DL
	A B2DL class. More...
class	B3DC
	A B3DC class. More...
class	B3DL
	A B3DL class. More...
class	B3DOSC
	A B3DOSC class. More...
class	B3DOSL
	A B3DOSL class. More...
struct	IGA
class	BSpline
class	BSplineCurve2D
class	BSplineCurve3D
class	BSplineCurve4D
class	BSplineSurface
class	BSplineSurface2D
class	BSplineSurface3D
class	BSplineSurface4D
class	BSplineVolume
class	BSplineVolume3D
class	BSplineVolume4D
class	NURBSBase
class	NURBS
class	NURBSCurve2D
class	NURBSCurve3D
class	NURBSCurve4D
class	NURBSSurface
class	NURBSSurface2D
class	NURBSSurface3D
class	NURBSSurface4D
class	NURBSVolume
class	NURBSVolume3D
class	NURBSVolume4D
class	Orientation
	A Orientation class. More...
struct	PhaseFieldData
class	PhaseField
	A PhaseField class. More...
class	T2DC
	A T2DC class. More...
class	T2DL
	A T2DL class. More...
class	T3DC
	A T3DC class. More...
class	T3DL
	A T3DL class. More...
class	Expression
	A Expression class represents a maths expression. More...
class	SimpleScalarExpression
class	SimpleVectorExpression
class	IntegrationPlan
	An IntegrationPlan class. More...
class	LBFGS
	The LBFGS class defines a solver using LBFGS iteration method. More...
class	Quaternion< T >
	An Quaternion class. More...
class	ResourceHolder< T >
class	Oscillator< T >

Enumerations
enum class	OrientationType {   OrientationType::T2D , OrientationType::T3D , OrientationType::B2D , OrientationType::B3D ,   OrientationType::B3DOS }
enum class	IntegrationType {   IntegrationType::GAUSS , IntegrationType::HERMITE , IntegrationType::CHEBYSHEV , IntegrationType::LOBATTO ,   IntegrationType::RADAU , IntegrationType::LAGUERRE , IntegrationType::IRONS , IntegrationType::TRIANGLE }

Functions
	ExternalModule::ExternalModule (string)
	ExternalModule::ExternalModule (const ExternalModule &)=delete
	ExternalModule::ExternalModule (ExternalModule &&)=delete
ExternalModule &	ExternalModule::operator= (const ExternalModule &)=delete
ExternalModule &	ExternalModule::operator= (ExternalModule &&)=delete
	ExternalModule::~ExternalModule ()
bool	ExternalModule::locate_c_module (const string &)
bool	ExternalModule::locate_cpp_module (const string &)
void	ExternalModule::new_object (unique_ptr< Element > &, istringstream &) const
void	ExternalModule::new_object (unique_ptr< Load > &, istringstream &) const
void	ExternalModule::new_object (unique_ptr< Material > &, istringstream &) const
void	ExternalModule::new_object (unique_ptr< Section > &, istringstream &) const
void	ExternalModule::new_object (unique_ptr< Solver > &, istringstream &) const
void	ExternalModule::new_object (unique_ptr< Amplitude > &, istringstream &) const
void	ExternalModule::new_object (unique_ptr< Modifier > &, istringstream &) const
void	ExternalModule::new_object (unique_ptr< Constraint > &, istringstream &) const
void	ExternalModule::new_adapter (unique_ptr< Element > &, istringstream &) const
void	ExternalModule::new_adapter (unique_ptr< Load > &, istringstream &) const
void	ExternalModule::new_adapter (unique_ptr< Material > &, istringstream &) const
void	ExternalModule::new_adapter (unique_ptr< Section > &, istringstream &) const
void	ExternalModule::new_adapter (unique_ptr< Solver > &, istringstream &) const
void	ExternalModule::new_adapter (unique_ptr< Amplitude > &, istringstream &) const
void	ExternalModule::new_adapter (unique_ptr< Modifier > &, istringstream &) const
void	ExternalModule::new_adapter (unique_ptr< Constraint > &, istringstream &) const
template<typename T >
static void	load::object (unique_ptr< T > &, const shared_ptr< DomainBase > &, const string &, istringstream &)
int	test_material (const std::shared_ptr< DomainBase > &, std::istringstream &, unsigned)
int	test_material_with_base3d (const std::shared_ptr< DomainBase > &, std::istringstream &)
int	test_material_by_load (const std::shared_ptr< DomainBase > &, std::istringstream &, unsigned)
int	test_material_by_load_with_base3d (const std::shared_ptr< DomainBase > &, std::istringstream &)
int	test_material_by_strain_history (const std::shared_ptr< DomainBase > &, std::istringstream &)
int	test_material_by_stress_history (const std::shared_ptr< DomainBase > &, std::istringstream &)
int	test_section (const std::shared_ptr< DomainBase > &, std::istringstream &, unsigned)
int	test_section_by_deformation_history (const std::shared_ptr< DomainBase > &, std::istringstream &)
void	argument_parser (int, char **)
void	print_version ()
void	print_helper ()
void	cli_mode (const shared_ptr< Bead > &)
void	test_mode ()
int	eig_solve (vec &, mat &, const std::shared_ptr< MetaMat< double > > &, const std::shared_ptr< MetaMat< double > > &, unsigned, const char *="SM")
int	eig_solve (cx_vec &, cx_mat &, const std::shared_ptr< MetaMat< double > > &, const std::shared_ptr< MetaMat< double > > &, unsigned, const char *="LM")
int	process_command (const shared_ptr< Bead > &, istringstream &)
bool	normalise_command (string &, string &)
int	process_file (const shared_ptr< Bead > &, const char *)
int	execute_command (istringstream &)
fs::path	get_history_path ()
template<sp_i T>
uvec	to_uvec (const suanpan::set< T > &in)
template<sp_i T>
uvec	to_uvec (const suanpan::unordered_set< T > &in)
template<>
void	IntegrationPlan::generate< IntegrationType::GAUSS > (unsigned, unsigned)
template<>
void	IntegrationPlan::generate< IntegrationType::HERMITE > (unsigned, unsigned)
template<>
void	IntegrationPlan::generate< IntegrationType::CHEBYSHEV > (unsigned, unsigned)
template<>
void	IntegrationPlan::generate< IntegrationType::LOBATTO > (unsigned, unsigned)
template<>
void	IntegrationPlan::generate< IntegrationType::RADAU > (unsigned, unsigned)
template<>
void	IntegrationPlan::generate< IntegrationType::LAGUERRE > (unsigned, unsigned)
template<>
void	IntegrationPlan::generate< IntegrationType::IRONS > (unsigned, unsigned)
template<>
void	IntegrationPlan::generate< IntegrationType::TRIANGLE > (unsigned, unsigned)
	Oscillator< T >::Oscillator (const T O, const T Z)
Mat< T >	Oscillator< T >::compute_response (const T interval, const Col< T > &motion)
Col< T >	Oscillator< T >::compute_maximum_response (const T interval, const Col< T > &motion)
template<sp_d T>
Mat< T >	response_spectrum (const T damping_ratio, const T interval, const Col< T > &motion, const Col< T > &period)
	compute response spectrum of the given ground motion More...
template<sp_d T>
Mat< T >	sdof_response (const T damping_ratio, const T interval, const T freq, const Col< T > &motion)
	compute response of a linear SDOF system More...
template<typename T >
auto	sort_color_metis (suanpan::graph< T > &element_register, const int num_color, const char method)
template<typename T >
std::vector< std::vector< T > >	sort_color_wp (const suanpan::graph< T > &node_register)
template<typename T >
std::vector< std::vector< T > >	sort_color_mis (const suanpan::graph< T > &node_register)
uvec	sort_rcm (const std::vector< uvec > &, const uvec &)
uvec	sort_rcm (const std::vector< suanpan::unordered_set< uword > > &)
template<sp_d eT>
uvec	sort_rcm (const SpMat< eT > &MEAT)
template<sp_d eT>
uvec	sort_rcm (const Mat< eT > &MEAT)
template<sp_d dt>
uvec	sort_rcm (const csc_form< dt, uword > &csc_mat)
template<sp_d dt, sp_i it>
uvec	sort_rcm (triplet_form< dt, it > &triplet_mat)
template<typename T >
static void	suanpan::mass::lumped_simple::apply (Mat< T > &)
template<typename T >
static void	suanpan::mass::lumped_scale::apply (Mat< T > &, unsigned)
template<typename T >
static void	suanpan::damping::rayleigh::apply (const shared_ptr< Element > &, T, T, T, T)
template<typename T >
static void	suanpan::damping::elemental::apply (const shared_ptr< Element > &, T)
	Quaternion< T >::Quaternion ()
	Quaternion< T >::Quaternion (T, T, T, T)
	Quaternion< T >::Quaternion (T, const Col< T > &)
	Quaternion< T >::Quaternion (T, Col< T > &&)
const T &	Quaternion< T >::real () const
const Col< T > &	Quaternion< T >::imag () const
T	Quaternion< T >::norm () const
Quaternion &	Quaternion< T >::normalise ()
Quaternion	Quaternion< T >::inv () const
Quaternion	Quaternion< T >::conj () const
Quaternion	Quaternion< T >::operator+ (const Quaternion &) const
Quaternion &	Quaternion< T >::operator+= (const Quaternion &)
Quaternion	Quaternion< T >::operator- (const Quaternion &) const
Quaternion &	Quaternion< T >::operator-= (const Quaternion &)
Quaternion	Quaternion< T >::operator* (const Quaternion &) const
Quaternion &	Quaternion< T >::operator*= (const Quaternion &)
Quaternion	Quaternion< T >::operator/ (const Quaternion &) const
Quaternion &	Quaternion< T >::operator/= (const Quaternion &)
void	Quaternion< T >::print () const
Mat< T >	Quaternion< T >::operator* (const Mat< T > &) const
Mat< T >	Quaternion< T >::to_mat () const
Col< T >	Quaternion< T >::to_pseudo () const
template<typename T >
T	area::triangle (const Mat< T > &EC)
template<typename T >
T	area::shoelace (const Mat< T > &C)
template<typename T >
Mat< T >	shape::truss (T int_pts, unsigned order=0, unsigned num_node=2)
template<typename T >
Col< T >	shape::beam (T int_pts, unsigned order, double length)
template<typename T >
Mat< T >	shape::triangle (const Col< T > &int_pts, unsigned order)
	compute the shape function or its derivative of six node triangle in global coordinate system More...
template<typename T >
Mat< T >	shape::quad (const Mat< T > &int_pts, unsigned order, unsigned num_node=4)
template<typename T >
Mat< T >	shape::cube (const Mat< T > &int_pts, unsigned order, unsigned num_node=8)
template<typename T >
Mat< T >	shape::stress (T X, T Y, unsigned S)
template<typename T >
Mat< T >	shape::stress (const Col< T > &C, unsigned S)
template<typename T >
Mat< T >	shape::stress5 (const Col< T > &C)
template<typename T >
Mat< T >	shape::stress7 (const Col< T > &C)
template<typename T >
Mat< T >	shape::stress9 (const Col< T > &C)
template<typename T >
Mat< T >	shape::stress11 (const Col< T > &C)
template<typename T >
Mat< T >	shape::stress5 (T X, T Y)
template<typename T >
Mat< T >	shape::stress7 (T X, T Y)
template<typename T >
Mat< T >	shape::stress9 (T X, T Y)
template<typename T >
Mat< T >	shape::stress11 (T X, T Y)
template<typename T >
Mat< T >	shape::strain (T X, T Y, T V, unsigned S)
template<typename T >
Mat< T >	shape::strain (const Col< T > &C, T V, unsigned S)
template<typename T >
Mat< T >	shape::strain5 (T X, T Y, T V)
template<typename T >
Mat< T >	shape::strain7 (T X, T Y, T V)
template<typename T >
Mat< T >	shape::strain9 (T X, T Y, T V)
template<typename T >
Mat< T >	shape::strain11 (T X, T Y, T V)
template<typename T >
Mat< T >	shape::strain5 (const Col< T > &C, T V)
template<typename T >
Mat< T >	shape::strain7 (const Col< T > &C, T V)
template<typename T >
Mat< T >	shape::strain9 (const Col< T > &C, T V)
template<typename T >
Mat< T >	shape::strain11 (const Col< T > &C, T V)
template<typename T >
Mat< T >	shape::linear_stress (T X, T Y)
template<typename T >
Mat< T >	shape::plate::triangle (const Col< T > &int_pts, unsigned order, unsigned num_node, const Mat< T > &nodes)
template<typename T >
Mat< T >	shape::plate::quad (const Col< T > &int_pts, unsigned order, unsigned num_node=4)
mat	shape::stress5 (const vec &C)
mat	shape::stress7 (const vec &C)
mat	shape::stress9 (const vec &C)
mat	shape::stress11 (const vec &C)
mat	shape::strain5 (const vec &C, double V)
mat	shape::strain7 (const vec &C, double V)
mat	shape::strain9 (const vec &C, double V)
mat	shape::strain11 (const vec &C, double V)

Variables
const string	ExternalModule::library_name

Detailed Description

Enumeration Type Documentation

IntegrationType

enum class IntegrationType

strong

Enumerator
GAUSS
HERMITE
CHEBYSHEV
LOBATTO
RADAU
LAGUERRE
IRONS
TRIANGLE

OrientationType

enum class OrientationType

strong

Enumerator
T2D
T3D
B2D
B3D
B3DOS

Function Documentation

apply() [1/4]

template<typename T >

void suanpan::damping::elemental::apply ( const shared_ptr< Element > &  element_obj, T  damping_ratio  )

static

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apply() [2/4]

template<typename T >

void suanpan::damping::rayleigh::apply ( const shared_ptr< Element > &  element_obj, T  alpha, T  beta, T  zeta, T  eta  )

static

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apply() [3/4]

template<typename T >

void suanpan::mass::lumped_simple::apply ( Mat< T > &  mass )

static

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apply() [4/4]

template<typename T >

void suanpan::mass::lumped_scale::apply ( Mat< T > &  mass, unsigned  dim  )

static

argument_parser()

void argument_parser	(	int	argc,
		char **	argv
	)

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beam()

template<typename T >

Col< T > shape::beam	(	T	int_pts,
		unsigned	order,
		double	length
	)

cli_mode()

void cli_mode

(

const shared_ptr< Bead > &

model

)

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compute_maximum_response()

template<sp_d T>

Col< T > Oscillator< T >::compute_maximum_response ( const T  interval, const Col< T > &  motion  )

inline

compute_response()

template<sp_d T>

Mat< T > Oscillator< T >::compute_response ( const T  interval, const Col< T > &  motion  )

inline

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conj()

template<typename T >

Quaternion< T > Quaternion< T >::conj

cube()

template<typename T >

Mat< T > shape::cube	(	const Mat< T > &	int_pts,
		unsigned	order,
		unsigned	num_node = 8
	)

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eig_solve() [1/2]

int eig_solve	(	cx_vec &	eigval,
		cx_mat &	eigvec,
		const std::shared_ptr< MetaMat< double > > &	K,
		const std::shared_ptr< MetaMat< double > > &	M,
		unsigned	num,
		const char *	form = "LM"
	)

eig_solve() [2/2]

int eig_solve	(	vec &	eigval,
		mat &	eigvec,
		const std::shared_ptr< MetaMat< double > > &	K,
		const std::shared_ptr< MetaMat< double > > &	M,
		unsigned	num,
		const char *	form = "SM"
	)

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execute_command()

int execute_command

(

istringstream &

command

)

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ExternalModule() [1/3]

ExternalModule::ExternalModule ( const ExternalModule &  )

delete

ExternalModule() [2/3]

ExternalModule::ExternalModule ( ExternalModule &&  )

delete

ExternalModule() [3/3]

ExternalModule::ExternalModule ( string  L )

explicit

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get_history_path()

fs::path get_history_path

(

)

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imag()

template<typename T >

const Col< T > & Quaternion< T >::imag

IntegrationPlan::generate< IntegrationType::CHEBYSHEV >()

template<>

void IntegrationPlan::generate< IntegrationType::CHEBYSHEV >	(	unsigned	D,
		unsigned	O
	)

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IntegrationPlan::generate< IntegrationType::GAUSS >()

template<>

void IntegrationPlan::generate< IntegrationType::GAUSS >	(	unsigned	D,
		unsigned	O
	)

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IntegrationPlan::generate< IntegrationType::HERMITE >()

template<>

void IntegrationPlan::generate< IntegrationType::HERMITE >	(	unsigned	D,
		unsigned	O
	)

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IntegrationPlan::generate< IntegrationType::IRONS >()

template<>

void IntegrationPlan::generate< IntegrationType::IRONS >	(	unsigned	D,
		unsigned	O
	)

IntegrationPlan::generate< IntegrationType::LAGUERRE >()

template<>

void IntegrationPlan::generate< IntegrationType::LAGUERRE >	(	unsigned	D,
		unsigned	O
	)

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IntegrationPlan::generate< IntegrationType::LOBATTO >()

template<>

void IntegrationPlan::generate< IntegrationType::LOBATTO >	(	unsigned	D,
		unsigned	O
	)

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IntegrationPlan::generate< IntegrationType::RADAU >()

template<>

void IntegrationPlan::generate< IntegrationType::RADAU >	(	unsigned	D,
		unsigned	O
	)

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IntegrationPlan::generate< IntegrationType::TRIANGLE >()

template<>

void IntegrationPlan::generate< IntegrationType::TRIANGLE >	(	unsigned	D,
		unsigned	O
	)

inv()

template<typename T >

Quaternion< T > Quaternion< T >::inv

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linear_stress()

template<typename T >

Mat< T > shape::linear_stress	(	T	X,
		T	Y
	)

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locate_c_module()

bool ExternalModule::locate_c_module

(

const string &

module_name

)

locate_cpp_module()

bool ExternalModule::locate_cpp_module

(

const string &

module_name

)

new_adapter() [1/8]

void ExternalModule::new_adapter	(	unique_ptr< Amplitude > &	,
		istringstream &
	)		const

new_adapter() [2/8]

void ExternalModule::new_adapter	(	unique_ptr< Constraint > &	,
		istringstream &
	)		const

new_adapter() [3/8]

void ExternalModule::new_adapter	(	unique_ptr< Element > &	,
		istringstream &
	)		const

new_adapter() [4/8]

void ExternalModule::new_adapter	(	unique_ptr< Load > &	,
		istringstream &
	)		const

new_adapter() [5/8]

void ExternalModule::new_adapter	(	unique_ptr< Material > &	return_obj,
		istringstream &	command
	)		const

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new_adapter() [6/8]

void ExternalModule::new_adapter	(	unique_ptr< Modifier > &	,
		istringstream &
	)		const

new_adapter() [7/8]

void ExternalModule::new_adapter	(	unique_ptr< Section > &	,
		istringstream &
	)		const

new_adapter() [8/8]

void ExternalModule::new_adapter	(	unique_ptr< Solver > &	,
		istringstream &
	)		const

new_object() [1/8]

void ExternalModule::new_object	(	unique_ptr< Amplitude > &	return_obj,
		istringstream &	command
	)		const

new_object() [2/8]

void ExternalModule::new_object	(	unique_ptr< Constraint > &	return_obj,
		istringstream &	command
	)		const

new_object() [3/8]

void ExternalModule::new_object	(	unique_ptr< Element > &	return_obj,
		istringstream &	command
	)		const

new_object() [4/8]

void ExternalModule::new_object	(	unique_ptr< Load > &	return_obj,
		istringstream &	command
	)		const

new_object() [5/8]

void ExternalModule::new_object	(	unique_ptr< Material > &	return_obj,
		istringstream &	command
	)		const

new_object() [6/8]

void ExternalModule::new_object	(	unique_ptr< Modifier > &	return_obj,
		istringstream &	command
	)		const

new_object() [7/8]

void ExternalModule::new_object	(	unique_ptr< Section > &	return_obj,
		istringstream &	command
	)		const

new_object() [8/8]

void ExternalModule::new_object	(	unique_ptr< Solver > &	return_obj,
		istringstream &	command
	)		const

norm()

template<typename T >

T Quaternion< T >::norm

normalise()

template<typename T >

Quaternion< T > & Quaternion< T >::normalise

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normalise_command()

bool normalise_command	(	string &	all_line,
		string &	command_line
	)

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object()

template<typename T >

void load::object ( unique_ptr< T > &  new_object, const shared_ptr< DomainBase > &  domain, const string &  id, istringstream &  command  )

static

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operator*() [1/2]

template<typename T >

Mat< T > Quaternion< T >::operator*

(

const Mat< T > &

I

)

const

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operator*() [2/2]

template<typename T >

Quaternion< T > Quaternion< T >::operator*

(

const Quaternion< T > &

B

)

const

operator*=()

template<typename T >

Quaternion< T > & Quaternion< T >::operator*=

(

const Quaternion< T > &

B

)

operator+()

template<typename T >

Quaternion< T > Quaternion< T >::operator+

(

const Quaternion< T > &

B

)

const

operator+=()

template<typename T >

Quaternion< T > & Quaternion< T >::operator+=

(

const Quaternion< T > &

B

)

operator-()

template<typename T >

Quaternion< T > Quaternion< T >::operator-

(

const Quaternion< T > &

B

)

const

operator-=()

template<typename T >

Quaternion< T > & Quaternion< T >::operator-=

(

const Quaternion< T > &

B

)

operator/()

template<typename T >

Quaternion< T > Quaternion< T >::operator/

(

const Quaternion< T > &

B

)

const

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operator/=()

template<typename T >

Quaternion< T > & Quaternion< T >::operator/=

(

const Quaternion< T > &

B

)

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operator=() [1/2]

ExternalModule & ExternalModule::operator= ( const ExternalModule &  )

delete

operator=() [2/2]

ExternalModule & ExternalModule::operator= ( ExternalModule &&  )

delete

Oscillator()

template<sp_d T>

Oscillator< T >::Oscillator ( const T  O, const T  Z  )

inline

print()

template<typename T >

void Quaternion< T >::print

print_helper()

void print_helper

(

)

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print_version()

void print_version

(

)

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process_command()

int process_command	(	const shared_ptr< Bead > &	model,
		istringstream &	command
	)

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process_file()

int process_file	(	const shared_ptr< Bead > &	model,
		const char *	file_name
	)

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quad() [1/2]

template<typename T >

Mat< T > shape::plate::quad	(	const Col< T > &	int_pts,
		unsigned	order,
		unsigned	num_node = 4
	)

quad() [2/2]

template<typename T >

Mat< T > shape::quad	(	const Mat< T > &	int_pts,
		unsigned	order,
		unsigned	num_node = 4
	)

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Quaternion() [1/4]

template<typename T >

Quaternion< T >::Quaternion

Quaternion() [2/4]

template<typename T >

Quaternion< T >::Quaternion	(	T	R,
		Col< T > &&	I
	)

Quaternion() [3/4]

template<typename T >

Quaternion< T >::Quaternion	(	T	R,
		const Col< T > &	I
	)

Quaternion() [4/4]

template<typename T >

Quaternion< T >::Quaternion	(	T	R,
		T	I,
		T	J,
		T	K
	)

real()

template<typename T >

const T & Quaternion< T >::real

response_spectrum()

template<sp_d T>

Mat< T > response_spectrum	(	const T	damping_ratio,
		const T	interval,
		const Col< T > &	motion,
		const Col< T > &	period
	)

compute response spectrum of the given ground motion

Parameters

damping_ratio	damping ratio
interval	sampling interval of the target ground motion
motion	target ground motion stored in one column
period	periods where response spectrum needs to be computed

Returns

response spectrum stored in four columns (period, displacement, velocity, acceleration)

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sdof_response()

template<sp_d T>

Mat< T > sdof_response	(	const T	damping_ratio,
		const T	interval,
		const T	freq,
		const Col< T > &	motion
	)

compute response of a linear SDOF system

Parameters

damping_ratio	damping ratio of the system
interval	time step size
freq	frequency of the system (Hz)
motion	acceleration record

Returns

response history

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shoelace()

template<typename T >

T area::shoelace

(

const Mat< T > &

C

)

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sort_color_metis()

template<typename T >

auto sort_color_metis	(	suanpan::graph< T > &	element_register,
		const int	num_color,
		const char	method
	)

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sort_color_mis()

template<typename T >

std::vector< std::vector< T > > sort_color_mis

(

const suanpan::graph< T > &

node_register

)

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sort_color_wp()

template<typename T >

std::vector< std::vector< T > > sort_color_wp

(

const suanpan::graph< T > &

node_register

)

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sort_rcm() [1/6]

template<sp_d dt>

uvec sort_rcm

(

const csc_form< dt, uword > &

csc_mat

)

Get the size of the square matrix.

Collect the number of degree of each node.

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sort_rcm() [2/6]

template<sp_d eT>

uvec sort_rcm

(

const Mat< eT > &

MEAT

)

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sort_rcm() [3/6]

template<sp_d eT>

uvec sort_rcm

(

const SpMat< eT > &

MEAT

)

Get the size of the square matrix.

Collect the number of degree of each node.

Get the indices array in increasing order of degree.

Now define the mask vector to indicate if one node is numbered or not.

Define the new order vector.

Preparation is ready. The G stores all vertices increasing order of degree. The adjacency stores the neighbor vertices for each vertex sorted according to the number of degree. Now start to loop over all nodes.

Define one position indicator IDXA for numbered vertices and two other position indicator IDXB and IDXC for looping.

While the sum of mask does not equal to the size of matrix, there are vertices not numbered in the system, the algorithm should continue.

IDXC will always point to the end of the vector. For any time when IDXB==IDXC, both indicators reach the end of reorder vector, i.e., there is no sub level any more (forms an independent subset). The graph cannot grow any more, then get the vertex with minimum degree as the new start point.

IDXA should be less that S so that G(IDXA) does not overflow.

Once IDXA hits S, there is no unnumbered vertex in the graph. Quit the loop.

Push in first unnumbered element in the list.

Label it as renumbered and move IDXA to next position.

Now we at least has one root, which is indicated by the indicator IDXB, in our graph, push in all children into the vector. As they are already sorted, we can simply push in. When the loop is finished, move IDXB to next position, which may have another root or the children of current root.

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sort_rcm() [4/6]

uvec sort_rcm

(

const std::vector< suanpan::unordered_set< uword > > &

adjacency

)

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sort_rcm() [5/6]

uvec sort_rcm	(	const std::vector< uvec > &	A,
		const uvec &	E
	)

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sort_rcm() [6/6]

template<sp_d dt, sp_i it>

uvec sort_rcm

(

triplet_form< dt, it > &

triplet_mat

)

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strain() [1/2]

template<typename T >

Mat< T > shape::strain	(	const Col< T > &	C,
		T	V,
		unsigned	S
	)

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strain() [2/2]

template<typename T >

Mat< T > shape::strain	(	T	X,
		T	Y,
		T	V,
		unsigned	S
	)

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strain11() [1/3]

template<typename T >

Mat< T > shape::strain11	(	const Col< T > &	C,
		T	V
	)

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strain11() [2/3]

mat shape::strain11 ( const vec &  C, double  V  )

inline

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strain11() [3/3]

template<typename T >

Mat< T > shape::strain11	(	T	X,
		T	Y,
		T	V
	)

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strain5() [1/3]

template<typename T >

Mat< T > shape::strain5	(	const Col< T > &	C,
		T	V
	)

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strain5() [2/3]

mat shape::strain5 ( const vec &  C, double  V  )

inline

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strain5() [3/3]

template<typename T >

Mat< T > shape::strain5	(	T	X,
		T	Y,
		T	V
	)

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strain7() [1/3]

template<typename T >

Mat< T > shape::strain7	(	const Col< T > &	C,
		T	V
	)

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strain7() [2/3]

mat shape::strain7 ( const vec &  C, double  V  )

inline

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strain7() [3/3]

template<typename T >

Mat< T > shape::strain7	(	T	X,
		T	Y,
		T	V
	)

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strain9() [1/3]

template<typename T >

Mat< T > shape::strain9	(	const Col< T > &	C,
		T	V
	)

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strain9() [2/3]

mat shape::strain9 ( const vec &  C, double  V  )

inline

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strain9() [3/3]

template<typename T >

Mat< T > shape::strain9	(	T	X,
		T	Y,
		T	V
	)

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stress() [1/2]

template<typename T >

Mat< T > shape::stress	(	const Col< T > &	C,
		unsigned	S
	)

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stress() [2/2]

template<typename T >

Mat< T > shape::stress	(	T	X,
		T	Y,
		unsigned	S
	)

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stress11() [1/3]

template<typename T >

Mat< T > shape::stress11

(

const Col< T > &

C

)

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stress11() [2/3]

mat shape::stress11 ( const vec &  C )

inline

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stress11() [3/3]

template<typename T >

Mat< T > shape::stress11	(	T	X,
		T	Y
	)

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stress5() [1/3]

template<typename T >

Mat< T > shape::stress5

(

const Col< T > &

C

)

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stress5() [2/3]

mat shape::stress5 ( const vec &  C )

inline

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stress5() [3/3]

template<typename T >

Mat< T > shape::stress5	(	T	X,
		T	Y
	)

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stress7() [1/3]

template<typename T >

Mat< T > shape::stress7

(

const Col< T > &

C

)

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stress7() [2/3]

mat shape::stress7 ( const vec &  C )

inline

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stress7() [3/3]

template<typename T >

Mat< T > shape::stress7	(	T	X,
		T	Y
	)

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stress9() [1/3]

template<typename T >

Mat< T > shape::stress9

(

const Col< T > &

C

)

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stress9() [2/3]

mat shape::stress9 ( const vec &  C )

inline

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stress9() [3/3]

template<typename T >

Mat< T > shape::stress9	(	T	X,
		T	Y
	)

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test_material()

int test_material	(	const std::shared_ptr< DomainBase > &	,
		std::istringstream &	,
		unsigned
	)

test_material_by_load()

int test_material_by_load	(	const std::shared_ptr< DomainBase > &	,
		std::istringstream &	,
		unsigned
	)

test_material_by_load_with_base3d()

int test_material_by_load_with_base3d	(	const std::shared_ptr< DomainBase > &	,
		std::istringstream &
	)

test_material_by_strain_history()

int test_material_by_strain_history	(	const std::shared_ptr< DomainBase > &	,
		std::istringstream &
	)

test_material_by_stress_history()

int test_material_by_stress_history	(	const std::shared_ptr< DomainBase > &	,
		std::istringstream &
	)

test_material_with_base3d()

int test_material_with_base3d	(	const std::shared_ptr< DomainBase > &	,
		std::istringstream &
	)

test_mode()

void test_mode

(

)

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test_section()

int test_section	(	const std::shared_ptr< DomainBase > &	,
		std::istringstream &	,
		unsigned
	)

test_section_by_deformation_history()

int test_section_by_deformation_history	(	const std::shared_ptr< DomainBase > &	,
		std::istringstream &
	)

to_mat()

template<typename T >

Mat< T > Quaternion< T >::to_mat

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to_pseudo()

template<typename T >

Col< T > Quaternion< T >::to_pseudo

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to_uvec() [1/2]

template<sp_i T>

uvec to_uvec

(

const suanpan::set< T > &

in

)

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to_uvec() [2/2]

template<sp_i T>

uvec to_uvec

(

const suanpan::unordered_set< T > &

in

)

triangle() [1/3]

template<typename T >

Mat< T > shape::triangle	(	const Col< T > &	int_pts,
		unsigned	order
	)

compute the shape function or its derivative of six node triangle in global coordinate system

Template Parameters

T	double/float

Parameters

int_pts	global coordinates of integration points
order	shape function or its derivative

Returns

shape function or its derivative

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triangle() [2/3]

template<typename T >

Mat< T > shape::plate::triangle	(	const Col< T > &	int_pts,
		unsigned	order,
		unsigned	num_node,
		const Mat< T > &	nodes
	)

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triangle() [3/3]

template<typename T >

T area::triangle

(

const Mat< T > &

EC

)

truss()

template<typename T >

Mat< T > shape::truss	(	T	int_pts,
		unsigned	order = 0,
		unsigned	num_node = 2
	)

~ExternalModule()

ExternalModule::~ExternalModule

(

)

Variable Documentation

library_name

const string ExternalModule::library_name