LINE Solver (C++): line::qsys::resdetail Namespace Reference

LINE Solver (C++)

Templated C++ port of the LINE queueing solver

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Functions
double	gammaln (double x)
	MATLAB's gammaln.
double	gammainc_upper (double x, double a)
	MATLAB's gammainc(x, a, 'upper'), the regularized upper tail Q(a, x).
double	gammainc_lower (double x, double a)
	MATLAB's gammainc(x, a, 'lower'), the regularized lower tail P(a, x).
double	besseli1_scaled (double x)
	MATLAB's besseli(1, x, 1) = I_1(x) exp(-x), x >= 0.
std::vector< double >	geometric (double c, double r, long nmax)
	The 0:nmax power law c*r.
double	ccdf_inverse (const std::function< double(double)> &ccdf, double target, double hi)
	The bisection inverse of a complementary CDF shared by the reference's functions (ccdf_inverse / mmck_ccdf_inverse / mmckk_ccdf_inverse): the time at which ccdf falls to target, bracketing upward from hi.
double	vsum (const std::vector< double > &x)
	sum(x)
std::vector< double >	lognormalize (const std::vector< double > &logp, const std::vector< double > &lognorm)
	exp(logp - logsumexp(lognorm)), the reference's log-space normalization.
std::vector< double >	cdf_of (const std::function< double(double)> &ccdf, const std::vector< double > &t)
	Fills out with 1 - ccdf(t) at each t, as 1 - arrayfun(ccdf, t).
std::vector< double >	pct_of (const std::function< double(double)> &ccdf, const std::vector< double > &pct, double hi)
	The percentiles by bisection, arrayfun(@(r) ccdf_inverse(ccdf, 1 - r/100, hi), pct).
void	require_stable (double rho, const char *fn)
	The reference's LINE:input:Unstable refusal.
void	throw_unstable (const char fn, const char what, double v)
	A LINE:input:Unstable refusal "fn: unstable system: <what> = %g >= 1".
void	throw_unknown_option (const char *fn, const std::string &name, bool argument_id)
	MATLAB's "unknown option 'name'" refusal, as LINE:input:Argument or as a bare LINE:Error.
double	nchoosek_r (double n, double k)
	The reference's nchoosek_r: exp(gammaln) rounded to the integer it is while that integer is exactly representable (below 2^52).
void	check_percentiles (const std::vector< double > &pct, const char *fn)
	A percentile vector checked against (0, 100), MATLAB's LINE:Error refusal.

Function Documentation

◆ besseli1_scaled()

double line::qsys::resdetail::besseli1_scaled ( double x )

inline

MATLAB's besseli(1, x, 1) = I_1(x) exp(-x), x >= 0.

Past the range where I_1 itself is finite the Hankel asymptotic expansion of the scaled function is used (six terms, relative error far below 1e-15 at x > 600).

Definition at line 132 of file qsys_res.h.

References besseli1_scaled().

Referenced by besseli1_scaled().

◆ ccdf_inverse()

double line::qsys::resdetail::ccdf_inverse	(	const std::function< double(double)> &	ccdf,
		double	target,
		double	hi )

inline

The bisection inverse of a complementary CDF shared by the reference's functions (ccdf_inverse / mmck_ccdf_inverse / mmckk_ccdf_inverse): the time at which ccdf falls to target, bracketing upward from hi.

Definition at line 156 of file qsys_res.h.

References ccdf_inverse().

Referenced by ccdf_inverse(), and pct_of().

◆ cdf_of()

std::vector< double > line::qsys::resdetail::cdf_of	(	const std::function< double(double)> &	ccdf,
		const std::vector< double > &	t )

inline

Fills out with 1 - ccdf(t) at each t, as 1 - arrayfun(ccdf, t).

Definition at line 189 of file qsys_res.h.

References cdf_of().

Referenced by cdf_of().

◆ check_percentiles()

void line::qsys::resdetail::check_percentiles	(	const std::vector< double > &	pct,
		const char *	fn )

inline

A percentile vector checked against (0, 100), MATLAB's LINE:Error refusal.

Definition at line 236 of file qsys_res.h.

References check_percentiles(), and line::Error::Error().

Referenced by check_percentiles().

◆ gammainc_lower()

double line::qsys::resdetail::gammainc_lower	(	double	x,
		double	a )

inline

MATLAB's gammainc(x, a, 'lower'), the regularized lower tail P(a, x).

Definition at line 121 of file qsys_res.h.

References gammainc_lower().

Referenced by gammainc_lower().

◆ gammainc_upper()

double line::qsys::resdetail::gammainc_upper	(	double	x,
		double	a )

inline

MATLAB's gammainc(x, a, 'upper'), the regularized upper tail Q(a, x).

Definition at line 114 of file qsys_res.h.

References gammainc_upper().

Referenced by gammainc_upper().

◆ gammaln()

double line::qsys::resdetail::gammaln ( double x )

inline

MATLAB's gammaln.

Definition at line 111 of file qsys_res.h.

References gammaln().

Referenced by line::qsys::engsetdetail::engset_dist(), and gammaln().

◆ geometric()

std::vector< double > line::qsys::resdetail::geometric	(	double	c,
		double	r,
		long	nmax )

inline

The 0:nmax power law c*r.

^(0:nmax).

Definition at line 145 of file qsys_res.h.

References geometric().

Referenced by geometric().

◆ lognormalize()

std::vector< double > line::qsys::resdetail::lognormalize	(	const std::vector< double > &	logp,
		const std::vector< double > &	lognorm )

inline

exp(logp - logsumexp(lognorm)), the reference's log-space normalization.

Definition at line 177 of file qsys_res.h.

References lognormalize().

Referenced by lognormalize().

◆ nchoosek_r()

double line::qsys::resdetail::nchoosek_r	(	double	n,
		double	k )

inline

The reference's nchoosek_r: exp(gammaln) rounded to the integer it is while that integer is exactly representable (below 2^52).

Definition at line 230 of file qsys_res.h.

References nchoosek_r().

Referenced by nchoosek_r(), and line::qsys::qsys_mg1kk().

◆ pct_of()

std::vector< double > line::qsys::resdetail::pct_of	(	const std::function< double(double)> &	ccdf,
		const std::vector< double > &	pct,
		double	hi )

inline

The percentiles by bisection, arrayfun(@(r) ccdf_inverse(ccdf, 1 - r/100, hi), pct).

Definition at line 196 of file qsys_res.h.

References ccdf_inverse(), and pct_of().

Referenced by pct_of().

◆ require_stable()

void line::qsys::resdetail::require_stable	(	double	rho,
		const char *	fn )

inline

The reference's LINE:input:Unstable refusal.

Definition at line 204 of file qsys_res.h.

References line::ErrorKind::ErrorKind(), line::InputError::InputError(), and require_stable().

Referenced by require_stable().

◆ throw_unknown_option()

void line::qsys::resdetail::throw_unknown_option	(	const char *	fn,
		const std::string &	name,
		bool	argument_id )

inline

MATLAB's "unknown option 'name'" refusal, as LINE:input:Argument or as a bare LINE:Error.

Definition at line 220 of file qsys_res.h.

References line::Error::Error(), line::ErrorKind::ErrorKind(), line::InputError::InputError(), and throw_unknown_option().

Referenced by throw_unknown_option().

◆ throw_unstable()

void line::qsys::resdetail::throw_unstable	(	const char *	fn,
		const char *	what,
		double	v )

inline

A LINE:input:Unstable refusal "fn: unstable system: <what> = %g >= 1".

Definition at line 213 of file qsys_res.h.

References line::ErrorKind::ErrorKind(), line::InputError::InputError(), and throw_unstable().

Referenced by line::qsys::qsys_mg1_busy(), line::qsys::qsys_mg1_conservation(), line::qsys::qsys_mg1_exceptional(), line::qsys::qsys_mg1_prio_pr(), line::qsys::qsys_mg1_setup(), line::qsys::qsys_mg1_sjf(), line::qsys::qsys_mmc_prio(), line::qsys::qsys_mmc_prio_eta(), line::qsys::qsys_mmc_prio_tardiness(), and throw_unstable().

◆ vsum()

double line::qsys::resdetail::vsum ( const std::vector< double > & x )

inline

Definition at line 170 of file qsys_res.h.

References vsum().

Referenced by vsum().

line
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resdetail
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