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 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)
long hunt_bisect (const double x[], long n, double xval)
long hunt_bisect_reverse (const double x[], long n, double 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 1752 of file thirdparty.cpp.

References chbevl(), DEBUG_ENTRY, DEBUG_EXIT, 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 1773 of file thirdparty.cpp.

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

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double bessel_i1 ( double  x  ) 

Definition at line 1942 of file thirdparty.cpp.

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

Referenced by bessel_k1(), and bessel_k1_scaled().

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double bessel_i1_scaled ( double  x  ) 

Definition at line 1965 of file thirdparty.cpp.

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

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double bessel_j0 ( double  x  ) 

Definition at line 686 of file thirdparty.cpp.

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

Referenced by bessel_jn(), and bessel_y0().

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double bessel_j1 ( double  x  ) 

Definition at line 926 of file thirdparty.cpp.

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

Referenced by bessel_jn(), and bessel_y1().

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double bessel_jn ( int  n,
double  x 
)

Definition at line 1038 of file thirdparty.cpp.

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

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double bessel_k0 ( double  x  ) 

Definition at line 1365 of file thirdparty.cpp.

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

Referenced by S62_Therm_ave_coll_str().

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double bessel_k0_scaled ( double  x  ) 

Definition at line 1393 of file thirdparty.cpp.

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

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double bessel_k1 ( double  x  ) 

Definition at line 1551 of file thirdparty.cpp.

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

Referenced by S62_Therm_ave_coll_str().

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double bessel_k1_scaled ( double  x  ) 

Definition at line 1578 of file thirdparty.cpp.

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

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double bessel_y0 ( double  x  ) 

Definition at line 728 of file thirdparty.cpp.

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

Referenced by bessel_yn().

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double bessel_y1 ( double  x  ) 

Definition at line 957 of file thirdparty.cpp.

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

Referenced by bessel_yn().

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double bessel_yn ( int  n,
double  x 
)

Definition at line 1178 of file thirdparty.cpp.

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

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

Definition at line 412 of file thirdparty.cpp.

References DEBUG_ENTRY, and DEBUG_EXIT.

Referenced by DoSutherland(), and Hypergeometric2F1().

double ellpk ( double  x  ) 

Definition at line 2079 of file thirdparty.cpp.

References C1, cdEXIT(), 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 2158 of file thirdparty.cpp.

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

Referenced by FFmtRead(), and SanityCheckBegin().

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double factorial ( long  n  ) 

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

Definition at line 343 of file thirdparty.cpp.

References cdEXIT(), ioQQQ, NPRE_FACTORIAL, and pre_factorial.

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

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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_levelN(), atom_pop5(), AtomSeqBeryllium(), CO_solve(), FeIILevelPops(), HeLikeLevel(), hmole_step(), HydroLevelPop(), ion_solver(), oi_level_pops(), and SanityCheckBegin().

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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_levelN(), atom_pop5(), AtomSeqBeryllium(), CO_solve(), FeIILevelPops(), HeLikeLevel(), hmole_step(), HydroLevelPop(), ion_solver(), oi_level_pops(), and SanityCheckBegin().

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long hunt_bisect ( const double  x[],
long  n,
double  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 218 of file thirdparty.h.

Referenced by linint(), spline_cubic_val(), and TempInterp().

long hunt_bisect_reverse ( const double  x[],
long  n,
double  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 237 of file thirdparty.h.

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 444 of file thirdparty_interpolate.cpp.

References DEBUG_ENTRY, and DEBUG_EXIT.

Referenced by TempInterp().

double lfactorial ( long  n  ) 

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

Definition at line 385 of file thirdparty.cpp.

References cdEXIT(), 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,
double  x[],
double  y[],
double &  a,
double &  siga,
double &  b,
double &  sigb 
)

Definition at line 45 of file thirdparty.cpp.

References DEBUG_ENTRY, DEBUG_EXIT, 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

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

Definition at line 469 of file thirdparty_interpolate.cpp.

References ASSERT, DEBUG_ENTRY, DEBUG_EXIT, and hunt_bisect().

Referenced by cross_section(), and DynaEndIter().

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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 96 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 153 of file thirdparty.h.

References DEBUG_ENTRY, DEBUG_EXIT, 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]

Definition at line 70 of file thirdparty.h.

References spline_cubic_set().

Referenced by atmdat_2phot_shapefunction(), 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 108 of file thirdparty_interpolate.cpp.

References ASSERT, cdEXIT(), d3_np_fs(), DEBUG_ENTRY, DEBUG_EXIT, 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 340 of file thirdparty_interpolate.cpp.

References DEBUG_ENTRY, DEBUG_EXIT, 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]

Definition at line 85 of file thirdparty.h.

References spline_cubic_val().

Referenced by atmdat_2phot_shapefunction(), 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 111 of file thirdparty.h.

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

Referenced by GetProbDistr_HighLimit(), GetProbDistr_LowLimit(), GrainChargeTemp(), GrainTemperature(), 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 20 of file thirdparty.h.

Referenced by factorial(), and H_photo_cs_lin().


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