thirdparty.h File Reference

#include "physconst.h"

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Data Structures
class	UltraGen

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	ellpk (double x)
double	expn (int n, double x)
double	erf (double)
double	erfc (double)
double	erfce (double)
double	igam (double a, double x)
double	igamc (double a, double x)
double	igamc_scaled (double a, double x)
double	bessel_k0 (double x)
double	bessel_k0_scaled (double x)
double	bessel_k1 (double x)
double	bessel_k1_scaled (double x)
void	bessel_k0_k1 (double x, double *k0val, double *k1val)
void	bessel_k0_k1_scaled (double x, double *k0val, double *k1val)
double	bessel_i0 (double x)
double	bessel_i0_scaled (double x)
double	bessel_i1 (double x)
double	bessel_i1_scaled (double x)
void	bessel_i0_i1 (double x, double *k0val, double *k1val)
void	bessel_i0_i1_scaled (double x, double *k0val, double *k1val)
void	sincos (double x, double *s, double *c)
double	e1 (double x)
double	e1_scaled (double x)
double	e2 (double t)
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 (const vector< T > &x, T xval)
template<class T >
long	hunt_bisect (const vector< T > &x, size_t n, T xval)
template<class T >
long	hunt_bisect_reverse (const T x[], long n, T xval)
template<class T >
long	hunt_bisect_reverse (const vector< T > &x, T xval)
template<class T >
long	hunt_bisect_reverse (const vector< T > &x, size_t 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	FastVoigtH (realnum a, const realnum v[], realnum y[], size_t n)
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_DEFAULT)
string	MD5datafile (const char *fnam, access_scheme scheme=AS_DEFAULT)
string	MD5string (const string &str)
void	test_expn ()
void	chbfit (double a, double b, vector< double > &c, double(*func)(double))
void	svd (const int nm, const int m, const int n, double *a, double *w, bool matu, double *u, bool matv, double *v, int *ierr, double *rv1)
double	gegenbauer (long n, double al, double x)
bool	Triangle2 (long J1, long J2, long J3)
double	sjs (long j1, long j2, long j3, long l1, long l2, long l3)
double	SixJFull (long j1, long j2, long j3, long j4, long j5, long j6)
void	rec6j (double *sixcof, double l2, double l3, double l4, double l5, double l6, double *l1min, double *l1max, double *lmatch, long ndim, long *ier)

Variables
static const int	NPRE_FACTORIAL = 171
static const int	MXDSF = 340
static const unsigned int	NMD5 = 32

Function Documentation

double bessel_i0

(

double

x

)

Definition at line 2892 of file thirdparty.cpp.

References BESSEL_I0_P1, BESSEL_I0_P2, BESSEL_I0_Q1, BESSEL_I0_Q2, DEBUG_ENTRY, ratevl_15_6(), and ratevl_7_8().

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void bessel_i0_i1	(	double	x,
		double *	k0val,
		double *	k1val
	)

Definition at line 2976 of file thirdparty.cpp.

References BESSEL_I0_P1, BESSEL_I0_P2, BESSEL_I0_Q1, BESSEL_I0_Q2, BESSEL_I1_P1, BESSEL_I1_P2, BESSEL_I1_Q1, BESSEL_I1_Q2, DEBUG_ENTRY, ratevl_15_6(), ratevl_7_8(), and ratevl_8_7().

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void bessel_i0_i1_scaled	(	double	x,
		double *	k0val,
		double *	k1val
	)

Definition at line 3003 of file thirdparty.cpp.

References BESSEL_I0_P1, BESSEL_I0_P2, BESSEL_I0_Q1, BESSEL_I0_Q2, BESSEL_I1_P1, BESSEL_I1_P2, BESSEL_I1_Q1, BESSEL_I1_Q2, DEBUG_ENTRY, ratevl_15_6(), ratevl_7_8(), and ratevl_8_7().

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double bessel_i0_scaled

(

double

x

)

Definition at line 2913 of file thirdparty.cpp.

References BESSEL_I0_P1, BESSEL_I0_P2, BESSEL_I0_Q1, BESSEL_I0_Q2, DEBUG_ENTRY, ratevl_15_6(), and ratevl_7_8().

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double bessel_i1

(

double

x

)

Definition at line 2934 of file thirdparty.cpp.

References BESSEL_I1_P1, BESSEL_I1_P2, BESSEL_I1_Q1, BESSEL_I1_Q2, DEBUG_ENTRY, ratevl_15_6(), and ratevl_8_7().

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double bessel_i1_scaled

(

double

x

)

Definition at line 2955 of file thirdparty.cpp.

References BESSEL_I1_P1, BESSEL_I1_P2, BESSEL_I1_Q1, BESSEL_I1_Q2, DEBUG_ENTRY, ratevl_15_6(), and ratevl_8_7().

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double bessel_j0

(

double

x

)

Definition at line 1065 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 1296 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 1399 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 2700 of file thirdparty.cpp.

References BESSEL_K0_P1, BESSEL_K0_P2, BESSEL_K0_P3, BESSEL_K0_Q1, BESSEL_K0_Q2, BESSEL_K0_Q3, DEBUG_ENTRY, ratevl_10_11(), ratevl_5_4(), and ratevl_6_3().

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void bessel_k0_k1	(	double	x,
		double *	k0val,
		double *	k1val
	)

Definition at line 2792 of file thirdparty.cpp.

References BESSEL_K0_P1, BESSEL_K0_P2, BESSEL_K0_P3, BESSEL_K0_Q1, BESSEL_K0_Q2, BESSEL_K0_Q3, BESSEL_K1_P1, BESSEL_K1_P2, BESSEL_K1_P3, BESSEL_K1_Q1, BESSEL_K1_Q2, BESSEL_K1_Q3, DEBUG_ENTRY, ratevl_10_11(), ratevl_11_10(), ratevl_5_4(), ratevl_6_3(), and ratevl_6_4().

Referenced by my_Integrand_S62::operator()().

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void bessel_k0_k1_scaled	(	double	x,
		double *	k0val,
		double *	k1val
	)

Definition at line 2820 of file thirdparty.cpp.

References BESSEL_K0_P1, BESSEL_K0_P2, BESSEL_K0_P3, BESSEL_K0_Q1, BESSEL_K0_Q2, BESSEL_K0_Q3, BESSEL_K1_P1, BESSEL_K1_P2, BESSEL_K1_P3, BESSEL_K1_Q1, BESSEL_K1_Q2, BESSEL_K1_Q3, DEBUG_ENTRY, ratevl_10_11(), ratevl_11_10(), ratevl_5_4(), ratevl_6_3(), and ratevl_6_4().

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double bessel_k0_scaled

(

double

x

)

Definition at line 2723 of file thirdparty.cpp.

References BESSEL_K0_P1, BESSEL_K0_P2, BESSEL_K0_P3, BESSEL_K0_Q1, BESSEL_K0_Q2, BESSEL_K0_Q3, DEBUG_ENTRY, ratevl_10_11(), ratevl_5_4(), and ratevl_6_3().

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double bessel_k1

(

double

x

)

Definition at line 2746 of file thirdparty.cpp.

References BESSEL_K1_P1, BESSEL_K1_P2, BESSEL_K1_P3, BESSEL_K1_Q1, BESSEL_K1_Q2, BESSEL_K1_Q3, DEBUG_ENTRY, ratevl_11_10(), and ratevl_6_4().

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double bessel_k1_scaled

(

double

x

)

Definition at line 2769 of file thirdparty.cpp.

References BESSEL_K1_P1, BESSEL_K1_P2, BESSEL_K1_P3, BESSEL_K1_Q1, BESSEL_K1_Q2, BESSEL_K1_Q3, DEBUG_ENTRY, ratevl_11_10(), and ratevl_6_4().

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double bessel_y0

(

double

x

)

Definition at line 1103 of file thirdparty.cpp.

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

Referenced by bessel_yn().

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double bessel_y1

(

double

x

)

Definition at line 1323 of file thirdparty.cpp.

References b1_PP, b1_PQ, b1_QP, b1_QQ, b1_YP, b1_YQ, bessel_j1(), cdEXIT, DEBUG_ENTRY, EXIT_FAILURE, fprintf(), 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 1534 of file thirdparty.cpp.

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

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complex<double> cdgamma

(

complex< double >

x

)

Definition at line 789 of file thirdparty.cpp.

References DEBUG_ENTRY.

void chbfit	(	double	a,
		double	b,
		vector< double > &	c,
		double(*)(double)	func
	)

Definition at line 3417 of file thirdparty.cpp.

References frac().

Referenced by test_expn().

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double e1

(

double

x

)

e1 first exponential integral

Parameters

x	optical depth argument

Definition at line 3258 of file thirdparty.cpp.

References cdEXIT, DEBUG_ENTRY, EXIT_FAILURE, fprintf(), and ioQQQ.

Referenced by ColStrGBar(), CS_l_mixing_PS64_expI(), dqelg_(), e1_scaled(), Hion_coll_ioniz_ratecoef(), Hydcs123(), MakeHCTData(), mie_step(), newton_step(), ParseDrive(), qelg_(), SanityCheckBegin(), and Energy::set().

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double e1_scaled

(

double

x

)

e1_scaled is exp(x)*e1(x)

Definition at line 3296 of file thirdparty.cpp.

References cdEXIT, DEBUG_ENTRY, e1(), EXIT_FAILURE, fprintf(), and ioQQQ.

Referenced by eeBremsSpectrum(), and Recomb_Seaton59().

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double e2

(

double

t

)

e2 second exponential integral

Parameters

t	optical depth argument

Definition at line 3328 of file thirdparty.cpp.

References cdEXIT, DEBUG_ENTRY, EXIT_FAILURE, fprintf(), and ioQQQ.

Referenced by dqelg_(), DrvCaseBHS(), Hion_coll_ioniz_ratecoef(), humlik(), IterRestart(), IterStart(), MakeHCTData(), mie_step(), newton_step(), ParseDrive(), qelg_(), RT_continuum(), RT_tau_reset(), and SanityCheckBegin().

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double ellpk

(

double

x

)

Definition at line 1676 of file thirdparty.cpp.

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

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double erf

(

double

)

the standard error functions

Definition at line 2127 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 2039 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 2089 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 1756 of file thirdparty.cpp.

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

Referenced by expn2_scaled(), Hion_coll_ioniz_ratecoef(), 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, fprintf(), ioQQQ, NPRE_FACTORIAL, and pre_factorial.

Referenced by bessel_jn(), bhG(), bhg(), expn(), fc2(), fsff(), and hrii().

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realnum FastVoigtH	(	realnum	a,
		realnum	v
	)

Definition at line 4311 of file thirdparty.cpp.

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

Referenced by VoigtH().

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void FastVoigtH	(	realnum	a,
		const realnum	v[],
		realnum	y[],
		size_t	n
	)

Definition at line 4386 of file thirdparty.cpp.

References ASSERT, dawson(), DEBUG_ENTRY, order(), pow2(), avx_ptr< T, lgBC >::ptr0(), and vexp().

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double gegenbauer	(	long	n,
		double	al,
		double	x
	)

Definition at line 3464 of file thirdparty.cpp.

References DEBUG_ENTRY.

long genrand_int31

(

void

)

Definition at line 4058 of file thirdparty.cpp.

References next_state().

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unsigned long genrand_int32

(

void

)

Definition at line 4041 of file thirdparty.cpp.

References next_state().

Referenced by genrand_res53().

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double genrand_real1

(

void

)

Definition at line 4075 of file thirdparty.cpp.

References next_state().

Referenced by mc_escape().

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double genrand_real2

(

void

)

Definition at line 4093 of file thirdparty.cpp.

References next_state().

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double genrand_real3

(

void

)

Definition at line 4111 of file thirdparty.cpp.

References next_state().

Referenced by mc_escape(), and RandGauss().

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double genrand_res53

(

void

)

Definition at line 4129 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 find_solution(), iso_level(), 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 find_solution(), iso_level(), SanityCheckBegin(), and solve_system().

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

Definition at line 4447 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 303 of file thirdparty.h.

Referenced by hunt_bisect(), t_mesh::ipointC(), iso_dielec_recomb_rate(), t_mesh::ithreshC(), linint(), mc_escape(), RebinFind(), spline_cubic_val(), TempInterp(), and TempInterp2().

template<class T >

long hunt_bisect ( const vector< T > &  x, T  xval  )

inline

vector<> versions of the above

Definition at line 322 of file thirdparty.h.

References get_ptr(), and hunt_bisect().

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template<class T >

long hunt_bisect ( const vector< T > &  x, size_t  n, T  xval  )

inline

Definition at line 329 of file thirdparty.h.

References ASSERT, get_ptr(), and hunt_bisect().

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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 340 of file thirdparty.h.

Referenced by hunt_bisect_reverse().

template<class T >

long hunt_bisect_reverse ( const vector< T > &  x, T  xval  )

inline

vector<> versions of the above

Definition at line 359 of file thirdparty.h.

References get_ptr(), and hunt_bisect_reverse().

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template<class T >

long hunt_bisect_reverse ( const vector< T > &  x, size_t  n, T  xval  )

inline

Definition at line 366 of file thirdparty.h.

References ASSERT, get_ptr(), and hunt_bisect_reverse().

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double igam	(	double	a,
		double	x
	)

Definition at line 2356 of file thirdparty.cpp.

References ASSERT, DEBUG_ENTRY, igamc(), and MAXLOG.

Referenced by igamc(), and igamc_scaled().

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double igamc	(	double	a,
		double	x
	)

Definition at line 2311 of file thirdparty.cpp.

References ASSERT, DEBUG_ENTRY, igam(), igamc_fraction(), and MAXLOG.

Referenced by igam().

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double igamc_scaled	(	double	a,
		double	x
	)

Definition at line 2329 of file thirdparty.cpp.

References ASSERT, DEBUG_ENTRY, igam(), igamc_fraction(), and MAXLOG.

Referenced by Recomb_Seaton59().

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

Definition at line 3993 of file thirdparty.cpp.

References init_genrand().

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void init_genrand

(

unsigned long

s

)

Definition at line 3974 of file thirdparty.cpp.

References N.

Referenced by init_by_array(), next_state(), ParseDatabaseH2(), ParseDatabaseISO(), 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 430 of file thirdparty_interpolate.cpp.

References DEBUG_ENTRY.

Referenced by t_gaunt::gauntff(), TempInterp(), and TempInterp2().

double lfactorial

(

long

n

)

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

Definition at line 756 of file thirdparty.cpp.

References cdEXIT, DEBUG_ENTRY, EXIT_FAILURE, fprintf(), 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 453 of file thirdparty_interpolate.cpp.

References ASSERT, DEBUG_ENTRY, and hunt_bisect().

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

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

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

Definition at line 4634 of file thirdparty.cpp.

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

Referenced by check_data(), main(), and t_mesh::t_mesh().

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

calculate the MD5 sum of a file

Definition at line 4615 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 4651 of file thirdparty.cpp.

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

Referenced by MD5datafile(), and MD5file().

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void rec6j	(	double *	sixcof,
		double	l2,
		double	l3,
		double	l4,
		double	l5,
		double	l6,
		double *	l1min,
		double *	l1max,
		double *	lmatch,
		long	ndim,
		long *	ier
	)

Definition at line 3608 of file thirdparty.cpp.

References a1, a2, DEBUG_ENTRY, fprintf(), frac(), ioQQQ, max(), min(), x1, and x2.

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void sincos ( double  x, double *  s, double *  c  )

inline

Definition at line 83 of file thirdparty.h.

Referenced by sinpar().

double SixJFull	(	long	j1,
		long	j2,
		long	j3,
		long	j4,
		long	j5,
		long	j6
	)

Definition at line 3558 of file thirdparty.cpp.

References DEBUG_ENTRY, Delta(), fc2(), max(), min(), sg(), and Triangle2().

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double sjs	(	long	j1,
		long	j2,
		long	j3,
		long	l1,
		long	l2,
		long	l3
	)

Definition at line 3494 of file thirdparty.cpp.

References DEBUG_ENTRY, fc2_scl(), max(), min(), sg(), and Triangle2().

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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 184 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 239 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 150 of file thirdparty.h.

References spline_cubic_set().

Referenced by atmdat_2phot_setSplineCoefs(), atmdat_CHIANTI_readin(), hmiopc(), HyperfineCreate(), 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, fprintf(), and ioQQQ.

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 328 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 173 of file thirdparty.h.

References spline_cubic_val().

Referenced by atmdat_2phot_shapefunction(), CHIANTI_Upsilon(), hmiopc(), HyperfineCS(), 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 199 of file thirdparty.h.

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

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

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void svd	(	const int	nm,
		const int	m,
		const int	n,
		double *	a,
		double *	w,
		bool	matu,
		double *	u,
		bool	matv,
		double *	v,
		int *	ierr,
		double *	rv1
	)

Definition at line 4913 of file thirdparty.cpp.

void test_expn

(

)

Definition at line 3438 of file thirdparty.cpp.

References chbevl(), chbfit(), expn2_scaled(), fprintf(), and ioQQQ.

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bool Triangle2 ( long  J1, long  J2, long  J3  )

inline

Definition at line 495 of file thirdparty.h.

Referenced by SixJFull(), and sjs().

void VoigtH ( realnum  a, const realnum  v[], realnum  y[], int  n  )

inline

Definition at line 418 of file thirdparty.h.

References FastVoigtH(), and humlik().

Referenced by ParseDrive(), RT_line_fine_opacity(), and VoigtU().

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double VoigtH0 ( double  a )

inline

Definition at line 439 of file thirdparty.h.

References erfce().

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void VoigtU ( realnum  a, const realnum  v[], realnum  y[], int  n  )

inline

Definition at line 431 of file thirdparty.h.

References VoigtH().

Referenced by mc_escape(), and outline_base().

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double VoigtU0 ( double  a )

inline

Definition at line 445 of file thirdparty.h.

References erfce().

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Variable Documentation

const int MXDSF = 340

static

Definition at line 28 of file thirdparty.h.

Referenced by fc2_scl().

const unsigned int NMD5 = 32

static

the size of an MD5 checksum in characters

Definition at line 451 of file thirdparty.h.

Referenced by InitGridBin(), lgCompileAtmosphere(), lgValidBinFile(), mie_read_opc(), and ReadTable().

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 25 of file thirdparty.h.

Referenced by factorial(), and H_photo_cs_lin().