/home66/gary/public_html/cloudy/c08_branch/source/thirdparty.h File Reference

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Functions
bool	linfit (long n, double x[], 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)
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)
Variables
static const int	NPRE_FACTORIAL = 171

---

Function Documentation

double bessel_i0

(

double

x

)

Definition at line 1700 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 1717 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 1882 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 1903 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 683 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 914 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 1017 of file thirdparty.cpp.

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

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double bessel_k0

(

double

x

)

Definition at line 1333 of file thirdparty.cpp.

References bessel_i0(), cdEXIT, chbevl(), DEBUG_ENTRY, 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 1356 of file thirdparty.cpp.

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

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double bessel_k1

(

double

x

)

Definition at line 1509 of file thirdparty.cpp.

References bessel_i1(), cdEXIT, chbevl(), DEBUG_ENTRY, 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 1531 of file thirdparty.cpp.

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

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double bessel_y0

(

double

x

)

Definition at line 721 of file thirdparty.cpp.

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

Referenced by bessel_yn().

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double bessel_y1

(

double

x

)

Definition at line 941 of file thirdparty.cpp.

References b1_PP, b1_PQ, b1_QP, b1_QQ, b1_YP, b1_YQ, bessel_j1(), cdEXIT, DEBUG_ENTRY, 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 1151 of file thirdparty.cpp.

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

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complex<double> cdgamma

(

complex< double >

x

)

Definition at line 411 of file thirdparty.cpp.

References DEBUG_ENTRY.

Referenced by DoSutherland(), and Hypergeometric2F1().

double ellpk

(

double

x

)

Definition at line 2015 of file thirdparty.cpp.

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

Referenced by StarkCollTransProb_VF01().

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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 2094 of file thirdparty.cpp.

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

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double factorial

(

long

n

)

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

Definition at line 340 of file thirdparty.cpp.

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

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

long genrand_int31

(

void

)

Definition at line 2549 of file thirdparty.cpp.

References next, next_state(), and nleft.

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unsigned long genrand_int32

(

void

)

Definition at line 2532 of file thirdparty.cpp.

References next, next_state(), and nleft.

Referenced by genrand_res53().

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double genrand_real1

(

void

)

Definition at line 2566 of file thirdparty.cpp.

References next, next_state(), and nleft.

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double genrand_real2

(

void

)

Definition at line 2584 of file thirdparty.cpp.

References next, next_state(), and nleft.

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double genrand_real3

(

void

)

Definition at line 2602 of file thirdparty.cpp.

References next, next_state(), and nleft.

Referenced by RandGauss().

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double genrand_res53

(

void

)

Definition at line 2620 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(), and oi_level_pops().

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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(), and oi_level_pops().

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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 260 of file thirdparty.h.

Referenced by t_fe2ovr_la::fe2par(), iso_collapsed_bnl_set(), 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 280 of file thirdparty.h.

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

Definition at line 2484 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 2465 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
	)

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 383 of file thirdparty.cpp.

References cdEXIT, DEBUG_ENTRY, Singleton< T >::Inst(), and ioQQQ.

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

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

Definition at line 45 of file thirdparty.cpp.

References DEBUG_ENTRY, and pow2().

Referenced by ConvEdenIoniz().

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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

Definition at line 456 of file thirdparty_interpolate.cpp.

References ASSERT, DEBUG_ENTRY, and hunt_bisect().

Referenced by cross_section(), and LeidenCollRate().

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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 141 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 196 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 107 of file thirdparty.h.

References spline_cubic_set().

Referenced by atmdat_2phot_shapefunction(), 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, 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

Definition at line 130 of file thirdparty.h.

References spline_cubic_val().

Referenced by atmdat_2phot_shapefunction(), Chianti_Upsilon(), hmiopc(), InitEmissivities(), and splint_safe().

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

Definition at line 156 of file thirdparty.h.

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

Referenced by GetProbDistr_HighLimit(), GetProbDistr_LowLimit(), inv_ufunct(), RebinQHeatResults(), TryDoubleStep(), and ufunct().

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---

Variable Documentation

const int NPRE_FACTORIAL = 171 [static]

number of predefined factorials, so largest factorial that can be represented as double is (NPRE_FACTORIAL-1)!

Definition at line 24 of file thirdparty.h.

Referenced by factorial(), and H_photo_cs_lin().

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