/home66/gary/public_html/cloudy/c13_branch/source/thirdparty.h File Reference

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Functions
bool	linfit (long n, const double x[], const double y[], double &a, double &siga, double &b, double &sigb)
double	factorial (long n)
double	lfactorial (long n)
complex< double >	cdgamma (complex< double > x)
double	bessel_j0 (double x)
double	bessel_y0 (double x)
double	bessel_j1 (double x)
double	bessel_y1 (double x)
double	bessel_jn (int n, double x)
double	bessel_yn (int n, double x)
double	bessel_k0 (double x)
double	bessel_k0_scaled (double x)
double	bessel_k1 (double x)
double	bessel_k1_scaled (double x)
double	bessel_i0 (double x)
double	bessel_i0_scaled (double x)
double	bessel_i1 (double x)
double	bessel_i1_scaled (double x)
double	ellpk (double x)
double	expn (int n, double x)
double	erf (double)
double	erfc (double)
double	erfce (double)
void	init_genrand (unsigned long s)
void	init_by_array (unsigned long init_key[], int key_length)
unsigned long	genrand_int32 (void)
long	genrand_int31 (void)
double	genrand_real1 (void)
double	genrand_real2 (void)
double	genrand_real3 (void)
double	genrand_res53 (void)
void	spline_cubic_set (long n, const double t[], const double y[], double ypp[], int ibcbeg, double ybcbeg, int ibcend, double ybcend)
void	spline_cubic_val (long n, const double t[], double tval, const double y[], const double ypp[], double yval, double ypval, double *yppval)
void	spline (const double x[], const double y[], long int n, double yp1, double ypn, double y2a[])
void	splint (const double xa[], const double ya[], const double y2a[], long int n, double x, double *y)
void	spldrv (const double xa[], const double ya[], const double y2a[], long int n, double x, double *y)
void	splint_safe (const double xa[], const double ya[], const double y2a[], long int n, double x, double y, bool lgOutOfBounds)
void	spldrv_safe (const double xa[], const double ya[], const double y2a[], long int n, double x, double y, bool lgOutOfBounds)
double	lagrange (const double x[], const double y[], long n, double xval)
double	linint (const double x[], const double y[], long n, double xval)
template<class T >
long	hunt_bisect (const T x[], long n, T xval)
template<class T >
long	hunt_bisect_reverse (const T x[], long n, T xval)
void	getrf_wrapper (long M, long N, double A, long lda, int32 ipiv, int32 *info)
void	getrs_wrapper (char trans, long N, long nrhs, double A, long lda, int32 ipiv, double B, long ldb, int32 info)
void	humlik (int n, const realnum x[], realnum y, realnum k[])
realnum	FastVoigtH (realnum a, realnum v)
void	VoigtH (realnum a, const realnum v[], realnum y[], int n)
void	VoigtU (realnum a, const realnum v[], realnum y[], int n)
double	VoigtH0 (double a)
double	VoigtU0 (double a)
string	MD5file (const char *fnam, access_scheme scheme=AS_DATA_ONLY)
string	MD5datafile (const char *fnam, access_scheme scheme=AS_DATA_ONLY)
string	MD5string (const string &str)
Variables
static const int	NPRE_FACTORIAL = 171
static const unsigned int	NMD5 = 32

Function Documentation

double bessel_i0 ( double x )

Definition at line 1726 of file thirdparty.cpp.

References chbevl(), DEBUG_ENTRY, i0_A, and i0_B.

Referenced by bessel_k0(), and bessel_k0_scaled().

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double bessel_i0_scaled ( double x )

Definition at line 1743 of file thirdparty.cpp.

References chbevl(), DEBUG_ENTRY, i0_A, and i0_B.

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double bessel_i1 ( double x )

Definition at line 1908 of file thirdparty.cpp.

References chbevl(), DEBUG_ENTRY, i1_A, and i1_B.

Referenced by bessel_k1(), and bessel_k1_scaled().

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double bessel_i1_scaled ( double x )

Definition at line 1929 of file thirdparty.cpp.

References chbevl(), DEBUG_ENTRY, i1_A, and i1_B.

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double bessel_j0 ( double x )

Definition at line 708 of file thirdparty.cpp.

References b0_PP, b0_PQ, b0_QP, b0_QQ, b0_RP, b0_RQ, DEBUG_ENTRY, DR1, DR2, p1evl(), PIO4, polevl(), and SQ2OPI.

Referenced by bessel_jn(), and bessel_y0().

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double bessel_j1 ( double x )

Definition at line 939 of file thirdparty.cpp.

References b1_PP, b1_PQ, b1_QP, b1_QQ, b1_RP, b1_RQ, DEBUG_ENTRY, p1evl(), polevl(), SQ2OPI, THPIO4, Z1, and Z2.

Referenced by bessel_jn(), and bessel_y1().

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double bessel_jn	(	int	n,
		double	x
	)

Definition at line 1042 of file thirdparty.cpp.

References bessel_j0(), bessel_j1(), DEBUG_ENTRY, factorial(), powi(), and sign().

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double bessel_k0 ( double x )

Definition at line 1359 of file thirdparty.cpp.

References bessel_i0(), cdEXIT, chbevl(), DEBUG_ENTRY, EXIT_FAILURE, ioQQQ, k0_A, and k0_B.

Referenced by S62_Therm_ave_coll_str().

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double bessel_k0_scaled ( double x )

Definition at line 1382 of file thirdparty.cpp.

References bessel_i0(), cdEXIT, chbevl(), DEBUG_ENTRY, EXIT_FAILURE, ioQQQ, k0_A, and k0_B.

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double bessel_k1 ( double x )

Definition at line 1535 of file thirdparty.cpp.

References bessel_i1(), cdEXIT, chbevl(), DEBUG_ENTRY, EXIT_FAILURE, ioQQQ, k1_A, and k1_B.

Referenced by S62_Therm_ave_coll_str().

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double bessel_k1_scaled ( double x )

Definition at line 1557 of file thirdparty.cpp.

References bessel_i1(), cdEXIT, chbevl(), DEBUG_ENTRY, EXIT_FAILURE, ioQQQ, k1_A, and k1_B.

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double bessel_y0 ( double x )

Definition at line 746 of file thirdparty.cpp.

References b0_PP, b0_PQ, b0_QP, b0_QQ, b0_YP, b0_YQ, bessel_j0(), cdEXIT, DEBUG_ENTRY, EXIT_FAILURE, ioQQQ, p1evl(), PIO4, polevl(), SQ2OPI, and TWOOPI.

Referenced by bessel_yn().

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double bessel_y1 ( double x )

Definition at line 966 of file thirdparty.cpp.

References b1_PP, b1_PQ, b1_QP, b1_QQ, b1_YP, b1_YQ, bessel_j1(), cdEXIT, DEBUG_ENTRY, EXIT_FAILURE, ioQQQ, p1evl(), polevl(), SQ2OPI, THPIO4, and TWOOPI.

Referenced by bessel_yn().

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double bessel_yn	(	int	n,
		double	x
	)

Definition at line 1177 of file thirdparty.cpp.

References bessel_y0(), bessel_y1(), cdEXIT, DEBUG_ENTRY, EXIT_FAILURE, ioQQQ, and sign().

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complex<double> cdgamma ( complex< double > x )

Definition at line 432 of file thirdparty.cpp.

References DEBUG_ENTRY.

Referenced by DoSutherland(), and Hypergeometric2F1().

double ellpk ( double x )

Definition at line 2041 of file thirdparty.cpp.

References C1, cdEXIT, DEBUG_ENTRY, elk_P, elk_Q, EXIT_FAILURE, ioQQQ, and polevl().

Referenced by StarkCollTransProb_VF01().

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double erf ( double )

the standard error functions

Definition at line 2492 of file thirdparty.cpp.

References DEBUG_ENTRY, erf_T, erf_U, erfc(), p1evl(), and polevl().

Referenced by erfc().

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double erfc ( double )

Definition at line 2404 of file thirdparty.cpp.

References DEBUG_ENTRY, erf(), erf_P, erf_Q, erf_R, erf_S, expx2(), lgUSE_EXPXSQ, MAXLOG, p1evl(), and polevl().

Referenced by erf().

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double erfce ( double )

erfce(a) returns erfc(a)*exp(a^2)

Definition at line 2454 of file thirdparty.cpp.

References DEBUG_ENTRY, erf_P, erf_Q, erf_R, erf_S, p1evl(), and polevl().

Referenced by VoigtH0(), and VoigtU0().

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double expn	(	int	n,
		double	x
	)

expn, returns exponential integral,

Parameters:

	n	is order, 1 for first integral integral
	x	is argument, must be positive

Definition at line 2121 of file thirdparty.cpp.

References BIG, cdEXIT, DEBUG_ENTRY, EULER, EXIT_FAILURE, factorial(), ioQQQ, is_odd(), MAXLOG, and powi().

Referenced by k2DampArg::operator()(), ParseDrive(), and SanityCheckBegin().

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double factorial ( long n )

factorial: compute n! by lookup in table of predefined factorials

Definition at line 356 of file thirdparty.cpp.

References cdEXIT, DEBUG_ENTRY, EXIT_FAILURE, ioQQQ, NPRE_FACTORIAL, and pre_factorial.

Referenced by bessel_jn(), bhg(), bhG(), DoSutherland(), expn(), fsff(), and hrii().

realnum FastVoigtH	(	realnum	a,
		realnum	v
	)

Definition at line 3171 of file thirdparty.cpp.

References ASSERT, dawson(), DEBUG_ENTRY, dsexp(), order(), pow2(), and SQRTPI.

Referenced by VoigtH().

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long genrand_int31 ( void )

Definition at line 2918 of file thirdparty.cpp.

References next_state(), nexxt, and nleft.

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unsigned long genrand_int32 ( void )

Definition at line 2901 of file thirdparty.cpp.

References next_state(), nexxt, and nleft.

Referenced by genrand_res53().

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double genrand_real1 ( void )

Definition at line 2935 of file thirdparty.cpp.

References next_state(), nexxt, and nleft.

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double genrand_real2 ( void )

Definition at line 2953 of file thirdparty.cpp.

References next_state(), nexxt, and nleft.

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double genrand_real3 ( void )

Definition at line 2971 of file thirdparty.cpp.

References next_state(), nexxt, and nleft.

Referenced by RandGauss().

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double genrand_res53 ( void )

Definition at line 2989 of file thirdparty.cpp.

References genrand_int32().

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void getrf_wrapper	(	long	M,
		long	N,
		double *	A,
		long	lda,
		int32 *	ipiv,
		int32 *	info
	)

getrf_wrapper return value is zero for success, non-zero is error condition

Parameters:

	M
	N
	*A
	lda
	*ipiv
	*info

Definition at line 47 of file thirdparty_lapack.cpp.

References ASSERT, DGETRF(), and INT32_MAX.

Referenced by atom_pop5(), AtomSeqBeryllium(), FeIILevelPops(), find_solution(), iso_level(), oi_level_pops(), SanityCheckBegin(), and solve_system().

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void getrs_wrapper	(	char	trans,
		long	N,
		long	nrhs,
		double *	A,
		long	lda,
		int32 *	ipiv,
		double *	B,
		long	ldb,
		int32 *	info
	)

getrs_wrapper return value is zero for success, non-zero is error condition

Parameters:

	trans
	N
	nrhs
	*A
	lda
	*ipiv
	*B
	ldb
	*info

Definition at line 69 of file thirdparty_lapack.cpp.

References ASSERT, DGETRS(), and INT32_MAX.

Referenced by atom_pop5(), AtomSeqBeryllium(), FeIILevelPops(), find_solution(), iso_level(), oi_level_pops(), SanityCheckBegin(), and solve_system().

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void humlik	(	int	n,
		const realnum	x[],
		realnum	y,
		realnum	k[]
	)

Definition at line 3257 of file thirdparty.cpp.

References a0, DEBUG_ENTRY, e2(), and h2.

Referenced by VoigtH().

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template<class T >

long hunt_bisect	(	const T	x[],
		long	n,
		T	xval
	)			`[inline]`

find index ilo such that x[ilo] <= xval < x[ilo+1] using bisection this version implicitly assumes that x is monotonically increasing

Definition at line 270 of file thirdparty.h.

Referenced by t_fe2ovr_la::fe2par(), GrainsInit(), iso_collapsed_bnl_set(), iso_dielec_recomb_rate(), linint(), qheat_init(), spline_cubic_val(), TempInterp(), TempInterp2(), and UpdatePot1().

template<class T >

long hunt_bisect_reverse	(	const T	x[],
		long	n,
		T	xval
	)			`[inline]`

find index ilo such that x[ilo] <= xval < x[ilo+1] using bisection this version implicitly assumes that x is monotonically decreasing

Definition at line 290 of file thirdparty.h.

void init_by_array	(	unsigned long	init_key[],
		int	key_length
	)

Definition at line 2853 of file thirdparty.cpp.

References init_genrand(), initf, N, nleft, and state.

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void init_genrand ( unsigned long s )

Definition at line 2834 of file thirdparty.cpp.

References initf, N, nleft, and state.

Referenced by init_by_array(), next_state(), ParseAtomH2(), ParseAtomISO(), and ParseSet().

double lagrange	(	const double	x[],
		const double	y[],
		long	n,
		double	xval
	)

lagrange: do lagrange interpolation of order n on x[], y[] use with caution, especialy for high order n! using spline interpolation above is preferred

Parameters:

	x[]
	y[]
	n
	xval	do lagrange interpolation of order n on x[], y[]

Definition at line 433 of file thirdparty_interpolate.cpp.

References DEBUG_ENTRY.

Referenced by TempInterp(), and TempInterp2().

double lfactorial ( long n )

lfactorial: compute log10(n!), this sroutine cahes its results for efficiency

Definition at line 399 of file thirdparty.cpp.

References cdEXIT, DEBUG_ENTRY, EXIT_FAILURE, t_lfact::get_lfact(), Singleton< t_lfact >::Inst(), and ioQQQ.

Referenced by bhg_log(), bhG_mx(), hrii_log(), and log10_fsff().

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bool linfit	(	long	n,
		const double	x[],
		const double	y[],
		double &	a,
		double &	siga,
		double &	b,
		double &	sigb
	)

Definition at line 46 of file thirdparty.cpp.

References ASSERT, DEBUG_ENTRY, and pow2().

Referenced by iter_track::deriv(), and iter_track::zero_fit().

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double linint	(	const double	x[],
		const double	y[],
		long	n,
		double	xval
	)

do linear interpolation on x[], y[]; it is assumed that x[] is strictly monotonically increasing

Parameters:

	x[]
	y[]
	n
	xval	do linear interpolation on x[], y[]; it is assumed that x[] is strictly monotonically increasing

Definition at line 456 of file thirdparty_interpolate.cpp.

References ASSERT, DEBUG_ENTRY, and hunt_bisect().

Referenced by CHIANTI_Upsilon(), cross_section(), DynaIterStart(), GetHS98CrossSection(), InterpCollRate(), lines_helium(), MolDissocCrossSection(), and StoutCollRate().

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string MD5datafile	(	const char *	fnam,
		access_scheme	scheme = `AS_DATA_ONLY`
	)

non-standard MD5 algorithm that skips eol characters and comments lines

Definition at line 3444 of file thirdparty.cpp.

References DEBUG_ENTRY, MD5string(), mode_r, and open_data().

Referenced by t_continuum::t_continuum().

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string MD5file	(	const char *	fnam,
		access_scheme	scheme = `AS_DATA_ONLY`
	)

calculate the MD5 sum of a file

Definition at line 3425 of file thirdparty.cpp.

References DEBUG_ENTRY, MD5string(), mode_r, and open_data().

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string MD5string ( const string & str )

calculate the MD5 sum of a string

Definition at line 3461 of file thirdparty.cpp.

References ASSERT, cpu, DEBUG_ENTRY, t_cpu::i(), t_cpu_i::little_endian(), MD5_Transform(), and state.

Referenced by MD5datafile(), and MD5file().

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void spldrv	(	const double	xa[],
		const double	ya[],
		const double	y2a[],
		long int	n,
		double	x,
		double *	y
	)			`[inline]`

Definition at line 151 of file thirdparty.h.

References spline_cubic_val().

Referenced by spldrv_safe().

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void spldrv_safe	(	const double	xa[],
		const double	ya[],
		const double	y2a[],
		long int	n,
		double	x,
		double *	y,
		bool *	lgOutOfBounds
	)			`[inline]`

Definition at line 206 of file thirdparty.h.

References DEBUG_ENTRY, MAX2, MIN2, SAFETY, and spldrv().

Referenced by GetProbDistr_LowLimit(), and qheat().

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void spline	(	const double	x[],
		const double	y[],
		long int	n,
		double	yp1,
		double	ypn,
		double	y2a[]
	)			`[inline]`

spline: set of routines to do spline interpolation call spline first to set coefficients up, then call splint to interpolate spldrv gives dy/dx(x) rather than y(x) splint_safe and spldrv_safe check whether x is within bounds

Parameters:

	x[]	- array of x values given
	y[]	- array of y values given
	n	- number of points in these arrays
	yp1	some sort of boundary condition, set to 2e31
	yp2	some sort of boundary condition, set to 2e31
	y2a[]	- array n long to save coefficients

Definition at line 117 of file thirdparty.h.

References spline_cubic_set().

Referenced by atmdat_2phot_setSplineCoefs(), atmdat_CHIANTI_readin(), hmiopc(), InitEmissivities(), and InitEnthalpy().

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void spline_cubic_set	(	long	n,
		const double	t[],
		const double	y[],
		double	ypp[],
		int	ibcbeg,
		double	ybcbeg,
		int	ibcend,
		double	ybcend
	)

Definition at line 105 of file thirdparty_interpolate.cpp.

References ASSERT, cdEXIT, d3_np_fs(), DEBUG_ENTRY, EXIT_FAILURE, ioQQQ, and MALLOC.

Referenced by spline().

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void spline_cubic_val	(	long	n,
		const double	t[],
		double	tval,
		const double	y[],
		const double	ypp[],
		double *	yval,
		double *	ypval,
		double *	yppval
	)

Definition at line 331 of file thirdparty_interpolate.cpp.

References DEBUG_ENTRY, and hunt_bisect().

Referenced by spldrv(), and splint().

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void splint	(	const double	xa[],
		const double	ya[],
		const double	y2a[],
		long int	n,
		double	x,
		double *	y
	)			`[inline]`

splint: do spline interpolation

Parameters:

	x[]	- array of x values given
	y[]	- array of y valus
	y2a[]	- array of save values found above
	n	- number of points in these arrays
	x	value where x is desired
	y2a[]	- array n long to save coefficients