Inheritance diagram for investment_problem:

Public Member Functions
	investment_problem (int investor)
	Constructor. More...

void	solve ()
	allocates means (with a benchmark) to goals More...

int	get_nbr_goals ()

int	get_max_month_for_lower_goals (int g)

void	javaGraph (int g, string xtra_var="", string xtra_label="", int followup_mnth=0)

void	prepare_javaVars_colors (int g, int followup_mnth)

void	parse_javaGraph (int g, string xtra_var="", string xtra_label="")
	plots the chartOverview More...

string	get_full_name ()

float	age (int Mnbr=0)

int	months2simulate ()

int	load_from_db (string investorID)

void	load_ER (int person=0, char person_type= 'i')

void	save_ER (int person=0, char person_type= 'i')

void	load_covar (int person, char person_type= 'i')

void	save_covar (int person, char person_type= 'i')

bool	get_portf_from_db (int id)

string	get_description ()

void	set_mu (float(*AssetClass_mu))

void	set_sigma (float(*AssetClass_varCov))

Public Attributes
std::map< int, aGOAL >	goalZ
	map containing all goals More...

int	investor_id

string	user_name

string	first_name

string	last_name

string	password

string	currency
	the default currency for that customer More...

struct tm	birth_date

float	simulate_till_age

float *	assetClass_covar = new float[(NBR_ASSET_CLASSES + 1) * (NBR_ASSET_CLASSES + 1)]

float	assetClass_mu [(NBR_ASSET_CLASSES+1)]
	note: index 0 not used More...

std::map< int, string >	assetClass_name
	note: index 0 not used More...

std::map< int, float >	ER

std::map< int, std::map< int, float > >	covar

int	portfolio_id

string	description

float	weights [NBR_ASSET_CLASSES]
	the weights of the asset classes (ordered as the asset classes) More...

float	pMu
	the MONTHLY return More...

float	pLogR
	the MONTHLY log-return More...

float	pSigma
	the MONTHLY volatility More...

Protected Member Functions
void	set_followup_color_prae (float Vlow, float Vmed, float Vhigh, int g)

void	set_followup_color_post (float V, int g)

int	age2monthNbr (float theAge)

string	dateStr2Age (string the_date)

bool	save ()

int	get_from_db (string investorID, string password)

bool	add_to_db ()

bool	exists (int iid)

void	load_preferences ()
	sets the experience, knowledge and desirability vectors More...

bool	save_preferences ()
	sets the experience, knowledge and desirability vectors More...

void	set_max_exposure ()
	sets the max_exposure vector based on the experience, knowledge and desirability More...

bool	set_scale (string scale_type, int ac, int val)

void	reload_ER (int person, char person_type= 'i')
	TODO: the ER and assetClass_mu as well as the covar and assetClass_covar are redundant ==> eliminate the C-style assetClass_*. More...

void	reload_covar (int person, char what2do, char person_type= 'i')

Protected Attributes
std::map< int, portfolio >	portfolios
	the standard portfolios More...

std::map< int, int >	experience

std::map< int, int >	knowledge

std::map< int, int >	desirability

std::map< int, float >	max_exposure
	the maximum exposure per asset class More...

Private Member Functions
void	set_assets ()
	add the assets to means[1] More...

void	set_cfs ()

void	set_goals ()

void	set_means_goal (int g)
	set the cash flows that are implied by the goal (eg. regular income from portfolio) More...

void	expand_cf (float amount, string freq="M", string fromStr="", string tillStr="", int goal_nbr=0)

void	set_portfolios ()
	sets the portfolios More...

float	get_optimal_portfolio (int g)
	finds the portfolio with minimal investment More...

float	calc_alpha (int priority, int monthNbr)
	estimates $$ More...

void	set_priorityLimits ()
	sets priorityMax and priorityMin More...

float	goal_seek_means (int g, int p)
	finds the minimal means needed (first free, then remaining, etc); sets tmp_means and calls the next function More...

void	goal_seek_tmp_means (float *perc, int g, int p)
	finds the minimal percentage needed of tmp_means More...

float	calc_risk (int g, int p)
	calculate the risk More...

float	calc_V_high (int g, int p=0)
	calculates the 1-alpha quantile portfolio for the goal alpha at realization_monthNbr More...

void	set_goal_color (int g, float opt_perc)
	allocates a color to each goal after the benchmark is found More...

void	set_goal_remarks (int g)
	adds remarks about the benchmark afther the benchmark is found More...

void	allocate_to_unallocated_goal (int unallocated_goal_nbr)
	if necessary create an unallocated goal and put the means_left there More...

int	get_portfolio_safest ()
	returns the portfolio id of the safest acceptable portfolio More...

int	get_portfolio_riskiest ()
	returns the portfolio id of the riskiest acceptable portfolio More...

bool	set_unallocated_goal ()

Private Attributes
std::map< int, float >	means
	sum of cash flows and assets per month (not to be changed) More...

std::map< int, float >	means_left
	the percentage left to be invested of each cash-flow (carried over to next goal) More...

std::map< int, float >	means_used
	the means already used for THIS particular goal More...

std::map< int, float >	means_block
	next block of means to be used for a certain percentage More...

std::map< int, float >	means_tmp
	copy of block for goal-seek More...

int	nbr_portfolios
	the number of standard portfolios More...

int	nbr_goals
	the total number of goals More...

int	nbr_assets = 0
	the total number of assets More...

int	nbr_cfs
	the total number of cash flows More...

std::map< int, bool >	portfolio_suitable

int	priorityMax

int	priorityMin

Detailed Description

class investment_problem

copyright: (c) Philippe De Brouwer 2014

last modification: 2014-08-25

This class is the cornerstone of this software. This class solves the investment problem. The key attribute to access this class is the function solve(), that can be called once an invester is loaded and he/she has stated goals and reported assets and savings capacity.

Definition at line 15 of file investment_problem.class.cpp.

Constructor & Destructor Documentation

investment_problem::investment_problem ( int investor )

Constructor.

CONSTRUCTOR : investment_problem

initalize assets, cash flows and goals ==> all but the goals are converted to the base currency for the customer.

initialize the market parameters

some testing

Definition at line 85 of file investment_problem.class.cpp.

Member Function Documentation

bool investor::add_to_db ( )

protectedinherited

add_to_db

does not check data any more, simply tries to push it to the DB only returns 0 if the userID already exists.

Definition at line 313 of file investor.class.cpp.

float investor::age ( int Mnbr = 0 )

inlineinherited

returns the age of a customer in years (with decimal part)

Definition at line 108 of file investor.class.cpp.

int investor::age2monthNbr ( float theAge )

inlineprotectedinherited

age2monthNbr

returns the month number for a given age note that this is negative for ages younger than the actual age.

Definition at line 200 of file investor.class.cpp.

void investment_problem::allocate_to_unallocated_goal ( int unallocated_goal_nbr )

private

if necessary create an unallocated goal and put the means_left there

allocate_to_unallocated_goal

if necessary create one goal of type "unallocated" and allocate all remaining resources to that goal

Definition at line 604 of file investment_problem.class.cpp.

float investment_problem::calc_alpha	(	int	priority,
		int	monthNbr
	)

inlineprivate

estimates $$

calc_alpha estimates $$ based on the priority rank as into

Definition at line 318 of file investment_problem.class.cpp.

float investment_problem::calc_risk	(	int	g,
		int	p
	)

private

calculate the risk

calc_risk

calculates the risk (Expected Shortfall)

< the alpha'th quantile of the portfolio

< expected value of the portfolio

< the cash flows for a month (= means_used[m] + means_tmp[m] - goalZ[g].means_goal[m];)

< the weighted average standard deviation of the portfolio

< a reweight of the month number to account for large cash flows

Parameters

g	the number of the goal
p	the number of the portfolio

Definition at line 809 of file investment_problem.class.cpp.

float investment_problem::calc_V_high	(	int	g,
		int	p = `0`
	)

private

calculates the 1-alpha quantile portfolio for the goal alpha at realization_monthNbr

calc_V_high

calculates the 1-alpha quantile (for the highest limit of alpha that is plotted) at goal expiration.

Definition at line 1260 of file investment_problem.class.cpp.

string investor::dateStr2Age ( string the_date )

inlineprotectedinherited

dateStr2Age

Definition at line 209 of file investor.class.cpp.

bool investor::exists ( int iid )

protectedinherited

exists

checks if a given investor-id really exists

Definition at line 343 of file investor.class.cpp.

void investment_problem::expand_cf	(	float	amount,
		string	freq = `"M"`,
		string	fromStr = `""`,
		string	tillStr = `""`,
		int	goal_nbr = `0`
	)

private

expand_CF

the string from and till are in the format YYYY-MM-DD

Definition at line 155 of file investment_problem.class.cpp.

string portfolio::get_description ( )

inherited

returns the label of the portfolio

Definition at line 86 of file portfolio.class.cpp.

int investor::get_from_db	(	string	uid,
		string	password
	)

protectedinherited

get_from_db returns the investor_id if successful (otherwise 0)

Definition at line 249 of file investor.class.cpp.

string investor::get_full_name ( )

inherited

overloading << operator overload the << operator to output the goal in a readable format get_full_name returns the full name of an investor

Definition at line 103 of file investor.class.cpp.

int investment_problem::get_max_month_for_lower_goals ( int g )

returns the maximum term of all the other LOWER ranking goals. The higher ranking goals already have allocated all the means that they require, so we can disregard them here.

goal_type = 0 is the unallocated goal type, so this goal should not be taken into account here.

Definition at line 945 of file investment_problem.class.cpp.

int investment_problem::get_nbr_goals ( )

returns the number of goals

Definition at line 936 of file investment_problem.class.cpp.

float investment_problem::get_optimal_portfolio ( int g )

private

finds the portfolio with minimal investment

get_optimal_portfolio

finds the optimal portfolio by finding that one that needs the least resources to satisfy the investment problem and adapts means_left accordingly

calculate for each portfolio how much means are used:

find the optimal portfolio

< NOTE: the consequence of the = sign is that this will select the last portfolio if the goal is not attainable!! (eg. the 100% equity portfolio)

Definition at line 677 of file investment_problem.class.cpp.

bool portfolio::get_portf_from_db ( int id )

inherited

load the definitions from the database

note: we have to create a second instance of the sql connection as this is called while the object db is in use!

Definition at line 32 of file portfolio.class.cpp.

int investment_problem::get_portfolio_riskiest ( )

private

returns the portfolio id of the riskiest acceptable portfolio

get_portfolio_riskiest

Definition at line 1363 of file investment_problem.class.cpp.

int investment_problem::get_portfolio_safest ( )

private

returns the portfolio id of the safest acceptable portfolio

get_portfolio_safest

Definition at line 1345 of file investment_problem.class.cpp.

float investment_problem::goal_seek_means	(	int	g,
		int	p
	)

private

finds the minimal means needed (first free, then remaining, etc); sets tmp_means and calls the next function

goal_seek_means

returns the percentage of the given block of this->means_block that is needed to satisfy the given goal and the given portfolio. One should seek to get all these percentages and then find the lowest one (that will then indicate which portfolio to use)

NOTE: it leaves means_block untouched

try if 0% works (if goal is in the past, etc.)

try if 100% is sufficient, if yes iterate, if not return 100%

if we're still here, then it is possible and we goal-seek the percentage

TODO: FOR INCOME FROM/TO WE SHOULD FIRST TRY IF ONE CAN SAVE ONLY BEFORE THE START_DATE

Parameters

g	the goal to be satisfied
p	the portfolio to be used

Definition at line 745 of file investment_problem.class.cpp.

void investment_problem::goal_seek_tmp_means	(	float *	perc,
		int	g,
		int	p
	)

inlineprivate

finds the minimal percentage needed of tmp_means

goal_seek_tmp_means

this if statement could be omited but it should save time for the asap goals

Definition at line 779 of file investment_problem.class.cpp.

void investment_problem::javaGraph	(	int	g,
		string	xtra_var = `""`,
		string	xtra_label = `""`,
		int	followup_mnth = `0`
	)

javaGraph

plots the overview-graph for the given goal

xtav_Var and xtra_label add a series of data that is delivered in text format xtra_var = [45,2000], [45.5,2200] xtra_label = "history" followup_mnth = 0 for feedback and simulation screen, and for the follow up screen it is the number of months we look into the future.

Definition at line 1089 of file investment_problem.class.cpp.

void market::load_covar	(	int	person,
		char	person_type = `'i'`
	)

inherited

load_covar

< note: person_type = 'i' for persons (later to provide for 'a' advisor, organization, etc.)

< TODO eliminate this

if we did not find a personalized expectation for each asset class, then we load the default values

< TODO eliminate this

Definition at line 135 of file market.class.cpp.

void market::load_ER	(	int	person = `0`,
		char	person_type = `'i'`
	)

inherited

load_ER

< note: person_type = 'i' for persons (later to provide for 'a' advisor, organization, etc.)

Definition at line 61 of file market.class.cpp.

int investor::load_from_db ( string uid )

inherited

returns the investor_id if successful (otherwise 0) NOTE for user interaction use get_from_db(uid, password) for password verification!!

Definition at line 134 of file investor.class.cpp.

void investor::load_preferences ( )

protectedinherited

sets the experience, knowledge and desirability vectors

set_preferences

Definition at line 383 of file investor.class.cpp.

int investor::months2simulate ( )

inlineinherited

months2simulate

Definition at line 124 of file investor.class.cpp.

void investment_problem::parse_javaGraph	(	int	g,
		string	xtra_var = `""`,
		string	xtra_label = `""`
	)

plots the chartOverview

parse_javaGraph

parses the line plot of the three scenarios and the goal to the output (webbrowser). It parses as well the

that will get become the plot as the <script> with javascript that will produce the plot.

Definition at line 1103 of file investment_problem.class.cpp.

void investment_problem::prepare_javaVars_colors	(	int	g,
		int	followup_mnth
	)

prepare_javaVars_colors

followup_mnth is used as the startmonth for the followUp-Screen (in all other graphs it will be zero – its default)

exp = expected value med = median low = alpha quantile high = 1- alpha quantile

< the weighted average of the number of months that investments are in portfolio

TODO in the function below use another rate for NEGATIVE amounts, to mymic lending!

parse_javaGraph(g, s1, s2, s3, s4, xtra_var, xtra_label);

< place al the variables

Definition at line 970 of file investment_problem.class.cpp.

void market::reload_covar	(	int	person,
		char	what2do,
		char	person_type = `'i'`
	)

protectedinherited

reload_vol

the situation here is more complex as the user expect that only the volatilities will be reset to the default values and not the correlations ...

what2do = [v|c|b] as in [vol | corr | both]

< both

< volatilities

< correlations

Definition at line 281 of file market.class.cpp.

void market::reload_ER	(	int	person,
		char	person_type = `'i'`
	)

protectedinherited

TODO: the ER and assetClass_mu as well as the covar and assetClass_covar are redundant ==> eliminate the C-style assetClass_*.

set_mu

the expect value for all asset classes set_covar

the expect value for all assets reload_ER

note: person_type = 'i' for persons (later to provide for 'a' advisor, organization, etc.)

this function simply deletes the personalized expected returns. This is sufficient because later we check if they exists and only then load them (see function load_ER().

Definition at line 247 of file market.class.cpp.

bool investor::save ( )

protectedinherited

save

Definition at line 220 of file investor.class.cpp.

void market::save_covar	(	int	person,
		char	person_type = `'i'`
	)

inherited

save_covar

Definition at line 172 of file market.class.cpp.

void market::save_ER	(	int	person = `0`,
		char	person_type = `'i'`
	)

inherited

save_ER

Definition at line 109 of file market.class.cpp.

bool investor::save_preferences ( )

protectedinherited

sets the experience, knowledge and desirability vectors

save_preferences()

Definition at line 416 of file investor.class.cpp.

void investment_problem::set_assets ( )

private

add the assets to means[1]

set_assets

puts the value of the today's savings into means[1] (all converted to the base currency of the investor)

Definition at line 122 of file investment_problem.class.cpp.

void investment_problem::set_cfs ( )

private

set_cfs

load, expand and sum the expansion of all cash flows into the variable means[] (all converted to the base currency of the investor)

Definition at line 202 of file investment_problem.class.cpp.

void investment_problem::set_followup_color_post	(	float	V,
		int	g
	)

inlineprotected

set_followup_color_post sets the color of the goal in case the simulation is LONGER than the realization date of the goal

Definition at line 1246 of file investment_problem.class.cpp.

void investment_problem::set_followup_color_prae	(	float	Vlow,
		float	Vmed,
		float	Vhigh,
		int	g
	)

inlineprotected

set_followup_color_prae

sets the color of the goal in case the simulations ends PRIOR to the realization date of the goal

Definition at line 1234 of file investment_problem.class.cpp.

void investment_problem::set_goal_color	(	int	g,
		float	opt_perc
	)

private

allocates a color to each goal after the benchmark is found

set_color_info()

set the appropriate color and remarks

Definition at line 546 of file investment_problem.class.cpp.

void investment_problem::set_goal_remarks ( int g )

private

adds remarks about the benchmark afther the benchmark is found

set_goal_remarks

Definition at line 588 of file investment_problem.class.cpp.

void investment_problem::set_goals ( )

private

loads all goals into this->goalZ[]

the realization_monthNbr and target_amount have to be set in function of the goal_type

calculate the means that are implied by the goal (eg as income "from/till"

and means that are allocated to this goal)

if someone has changed his/her age this has to be corrected for the means[m] vectors not to run out of index

Definition at line 225 of file investment_problem.class.cpp.

void investor::set_max_exposure ( )

protectedinherited

sets the max_exposure vector based on the experience, knowledge and desirability

get_max_exposure

sets the map max_exposure in this object

Definition at line 363 of file investor.class.cpp.

void investment_problem::set_means_goal ( int g )

private

set the cash flows that are implied by the goal (eg. regular income from portfolio)

set_goalZ[g].means_goal(int g)

only to be used for goals of type "income from/to"

creates the cash flow related to the goal and puts it into goalZ[g].means_goal

add_to_means is set to false –> the amount will be added to goalZ[g].means_goal

xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx for all goal types we add the means that are allocated by the user to this goal xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx TODO

Definition at line 654 of file investment_problem.class.cpp.

void portfolio::set_mu ( float * AssetClass_mu )

inherited

sets the expected return for the portfolio

Definition at line 94 of file portfolio.class.cpp.

void investment_problem::set_portfolios ( )

private

sets the portfolios

sets the map portfolios[]

also set the portfolio_suitable array

Definition at line 341 of file investment_problem.class.cpp.

void investment_problem::set_priorityLimits ( )

private

sets priorityMax and priorityMin

set_priorityLimits

sets the minimum and maximum of the ranking used by a given investor and stores them in this->priorityMax and priorityMin

Definition at line 300 of file investment_problem.class.cpp.

bool investor::set_scale	(	string	scale_type,
		int	ac,
		int	val
	)

protectedinherited

set_scale

Definition at line 402 of file investor.class.cpp.

void portfolio::set_sigma ( float * AssetClass_varCov )

inherited

sets the standard deviation for the portfolio: this->sigma

Definition at line 112 of file portfolio.class.cpp.

bool investment_problem::set_unallocated_goal ( )

private

set_unallocated_goal

finds if for the given investor an unallocated goal exists, if not creates it, loads it and allocates the content to the pointer

create a new one

Definition at line 1285 of file investment_problem.class.cpp.

void investment_problem::solve ( )

allocates means (with a benchmark) to goals

solve is the main attribute to be used by other classes

a cls_currency object that will facilitate currency conversions

note: set_assets, set_cfs,set_goals,set_mu are done in the constructor

< initialize means_left for g=1 (all in investor.currency)

< do nothing right now for unallocated goals, so take the next goal (for loop)

try the free means (not used by other –lower ranking– goals)

< initialize

and means that are allocated to this goal):

for the asap-goals we take the first cash flows first

for all other goal types we take the last possible

if the free means are not sufficient, try all the previous also

block the resources for this goal

set the benchmark

set comments and colors:

add the risk info

put all the remaining means into the unallocated goal

Definition at line 396 of file investment_problem.class.cpp.

Member Data Documentation

float* market::assetClass_covar = new float[(NBR_ASSET_CLASSES + 1) * (NBR_ASSET_CLASSES + 1)]

inherited

Definition at line 16 of file market.class.cpp.

float market::assetClass_mu[(NBR_ASSET_CLASSES+1)]

inherited

note: index 0 not used

Definition at line 17 of file market.class.cpp.

std::map<int, string> market::assetClass_name

inherited

note: index 0 not used

Definition at line 18 of file market.class.cpp.

struct tm investor::birth_date

inherited

Definition at line 20 of file investor.class.cpp.

std::map<int, std::map<int, float> > market::covar

inherited

Definition at line 26 of file market.class.cpp.

string investor::currency

inherited

the default currency for that customer

Definition at line 19 of file investor.class.cpp.

string portfolio::description

inherited

Definition at line 15 of file portfolio.class.cpp.

std::map<int, int> investor::desirability

protectedinherited

Definition at line 41 of file investor.class.cpp.

std::map<int, float> market::ER

inherited

Definition at line 25 of file market.class.cpp.

std::map<int, int> investor::experience

protectedinherited

Definition at line 39 of file investor.class.cpp.

string investor::first_name

inherited

Definition at line 16 of file investor.class.cpp.

std::map<int, aGOAL> investment_problem::goalZ

map containing all goals

Definition at line 22 of file investment_problem.class.cpp.

int investor::investor_id

inherited

Definition at line 14 of file investor.class.cpp.

std::map<int, int> investor::knowledge

protectedinherited

Definition at line 40 of file investor.class.cpp.

string investor::last_name

inherited

Definition at line 17 of file investor.class.cpp.

std::map<int, float> investor::max_exposure

protectedinherited

the maximum exposure per asset class

Definition at line 42 of file investor.class.cpp.

std::map<int, float> investment_problem::means

private

sum of cash flows and assets per month (not to be changed)

Definition at line 35 of file investment_problem.class.cpp.

std::map<int, float> investment_problem::means_block

private

next block of means to be used for a certain percentage

Definition at line 38 of file investment_problem.class.cpp.

std::map<int, float> investment_problem::means_left

private

the percentage left to be invested of each cash-flow (carried over to next goal)

Definition at line 36 of file investment_problem.class.cpp.

std::map<int, float> investment_problem::means_tmp

private

copy of block for goal-seek

Definition at line 39 of file investment_problem.class.cpp.

std::map<int, float> investment_problem::means_used

private

the means already used for THIS particular goal

Definition at line 37 of file investment_problem.class.cpp.

int investment_problem::nbr_assets = 0

private

the total number of assets

Definition at line 44 of file investment_problem.class.cpp.

int investment_problem::nbr_cfs

private

the total number of cash flows

Definition at line 45 of file investment_problem.class.cpp.

int investment_problem::nbr_goals

private

the total number of goals

Definition at line 43 of file investment_problem.class.cpp.

int investment_problem::nbr_portfolios

private

the number of standard portfolios

Definition at line 41 of file investment_problem.class.cpp.

string investor::password

inherited

Definition at line 18 of file investor.class.cpp.

float portfolio::pLogR

inherited

the MONTHLY log-return

Definition at line 25 of file portfolio.class.cpp.

float portfolio::pMu

inherited

the MONTHLY return

Definition at line 24 of file portfolio.class.cpp.

int portfolio::portfolio_id

inherited

Definition at line 14 of file portfolio.class.cpp.

std::map<int, bool> investment_problem::portfolio_suitable

private

Definition at line 67 of file investment_problem.class.cpp.

std::map<int, portfolio> investment_problem::portfolios

protected

the standard portfolios

Definition at line 29 of file investment_problem.class.cpp.

int investment_problem::priorityMax

private

Definition at line 72 of file investment_problem.class.cpp.

int investment_problem::priorityMin

private

Definition at line 73 of file investment_problem.class.cpp.

float portfolio::pSigma

inherited

the MONTHLY volatility

Definition at line 26 of file portfolio.class.cpp.

float investor::simulate_till_age

inherited

Definition at line 21 of file investor.class.cpp.

string investor::user_name

inherited

Definition at line 15 of file investor.class.cpp.

float portfolio::weights[NBR_ASSET_CLASSES]

inherited

the weights of the asset classes (ordered as the asset classes)

Definition at line 17 of file portfolio.class.cpp.

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

investment_problem.class.cpp

Public Member Functions

Public Attributes

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation