COX Library specfun.cox

file specfun



specfun Library

written 1996 by J\"orn Sierwald

Matlab-alike special functions
bessel et al.

!

double infix operator !(double n; double k) precedence infix *;

symbol type
infix operator (prototype)
declaration 
double infix operator !(double n; double k) precedence infix *;
description
Binomial coefficient with double arguments.
remarks
Computation using Gamma function.
location
"specfun.h", line 80

BesselI

VECTOR FUNCTION BesselI( REAL x, INT order, REAL orderFrac) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
VECTOR FUNCTION BesselI( REAL x, INT order, REAL orderFrac) PRECEDENCE_FUNC;
description
ribesl.c
location
"specfun.h", line 59

BesselI0

REAL FUNCTION BesselI0( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION BesselI0( REAL x ) PRECEDENCE_FUNC;
description
i0.c
location
"specfun.h", line 43

BesselI1

REAL FUNCTION BesselI1( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION BesselI1( REAL x ) PRECEDENCE_FUNC;
description
i1.c
location
"specfun.h", line 47

BesselJ

VECTOR FUNCTION BesselJ( REAL x, INT order, REAL orderFrac) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
VECTOR FUNCTION BesselJ( REAL x, INT order, REAL orderFrac) PRECEDENCE_FUNC;
description
rjbesl.c
location
"specfun.h", line 67

BesselJ0

REAL FUNCTION BesselJ0( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION BesselJ0( REAL x ) PRECEDENCE_FUNC;
description
j0y0.c
location
"specfun.h", line 35

BesselJ1

REAL FUNCTION BesselJ1( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION BesselJ1( REAL x ) PRECEDENCE_FUNC;
description
j1y1.c
location
"specfun.h", line 39

BesselK

VECTOR FUNCTION BesselK( REAL x, INT order, REAL orderFrac) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
VECTOR FUNCTION BesselK( REAL x, INT order, REAL orderFrac) PRECEDENCE_FUNC;
description
rkbesl.c
location
"specfun.h", line 63

BesselK0

REAL FUNCTION BesselK0( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION BesselK0( REAL x ) PRECEDENCE_FUNC;
description
k0.c
location
"specfun.h", line 51

BesselK1

REAL FUNCTION BesselK1( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION BesselK1( REAL x ) PRECEDENCE_FUNC;
description
k1.c
location
"specfun.h", line 55

BesselY

VECTOR FUNCTION BesselY( REAL x, INT order, REAL orderFrac) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
VECTOR FUNCTION BesselY( REAL x, INT order, REAL orderFrac) PRECEDENCE_FUNC;
description
rybesl.c
location
"specfun.h", line 70

BesselY0

REAL FUNCTION BesselY0( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION BesselY0( REAL x ) PRECEDENCE_FUNC;
description
location
"specfun.h", line 36

BesselY1

REAL FUNCTION BesselY1( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION BesselY1( REAL x ) PRECEDENCE_FUNC;
description
location
"specfun.h", line 40

Dawson

REAL FUNCTION Dawson ( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION Dawson ( REAL x ) PRECEDENCE_FUNC;
description
daw.c
location
"specfun.h", line 19

E1

REAL FUNCTION E1 ( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION E1 ( REAL x ) PRECEDENCE_FUNC;
description
location
"specfun.h", line 23

Ei

REAL FUNCTION Ei ( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION Ei ( REAL x ) PRECEDENCE_FUNC;
description
ei.c
location
"specfun.h", line 22

Erf

REAL FUNCTION Erf ( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION Erf ( REAL x ) PRECEDENCE_FUNC;
description
erf.c
location
"specfun.h", line 27

Erfc

REAL FUNCTION Erfc ( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION Erfc ( REAL x ) PRECEDENCE_FUNC;
description
location
"specfun.h", line 28

Erfcx

REAL FUNCTION Erfcx ( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION Erfcx ( REAL x ) PRECEDENCE_FUNC;
description
location
"specfun.h", line 29

ExpBesselI

VECTOR FUNCTION ExpBesselI( REAL x, INT order, REAL orderFrac) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
VECTOR FUNCTION ExpBesselI( REAL x, INT order, REAL orderFrac) PRECEDENCE_FUNC;
description
location
"specfun.h", line 60

ExpBesselI0

REAL FUNCTION ExpBesselI0( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION ExpBesselI0( REAL x ) PRECEDENCE_FUNC;
description
location
"specfun.h", line 44

ExpBesselI1

REAL FUNCTION ExpBesselI1( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION ExpBesselI1( REAL x ) PRECEDENCE_FUNC;
description
location
"specfun.h", line 48

ExpBesselK

VECTOR FUNCTION ExpBesselK( REAL x, INT order, REAL orderFrac) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
VECTOR FUNCTION ExpBesselK( REAL x, INT order, REAL orderFrac) PRECEDENCE_FUNC;
description
location
"specfun.h", line 64

ExpBesselK0

REAL FUNCTION ExpBesselK0( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION ExpBesselK0( REAL x ) PRECEDENCE_FUNC;
description
location
"specfun.h", line 52

ExpBesselK1

REAL FUNCTION ExpBesselK1( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION ExpBesselK1( REAL x ) PRECEDENCE_FUNC;
description
location
"specfun.h", line 56

ExpEi

REAL FUNCTION ExpEi ( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION ExpEi ( REAL x ) PRECEDENCE_FUNC;
description
location
"specfun.h", line 24

Gamma

REAL FUNCTION Gamma ( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION Gamma ( REAL x ) PRECEDENCE_FUNC;
description
gamma.c
location
"specfun.h", line 32

GammaLn

REAL FUNCTION GammaLn ( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION GammaLn ( REAL x ) PRECEDENCE_FUNC;
description
algama.c :
location
"specfun.h", line 16

Psi

REAL FUNCTION Psi( REAL x ) PRECEDENCE_FUNC;

symbol type
prefix operator (prototype)
declaration 
REAL FUNCTION Psi( REAL x ) PRECEDENCE_FUNC;
description
psi.c
location
"specfun.h", line 74

Ren

REAL NULLFIX operator Ren;

symbol type
nullfix operator (prototype)
declaration 
REAL NULLFIX operator Ren;
description
ren.c
location
"specfun.h", line 77

besei0_

function doublereal besei0_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal besei0_( doublereal* );
description
location
"specfun.cox", line 31

besei1_

function doublereal besei1_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal besei1_( doublereal* );
description
location
"specfun.cox", line 33

besek0_

function doublereal besek0_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal besek0_( doublereal* );
description
location
"specfun.cox", line 35

besek1_

function doublereal besek1_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal besek1_( doublereal* );
description
location
"specfun.cox", line 37

besi0_

function doublereal besi0_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal besi0_( doublereal* );
description
location
"specfun.cox", line 30

besi1_

function doublereal besi1_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal besi1_( doublereal* );
description
location
"specfun.cox", line 32

besj0_

function doublereal besj0_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal besj0_( doublereal* );
description
location
"specfun.cox", line 26

besj1_

function doublereal besj1_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal besj1_( doublereal* );
description
location
"specfun.cox", line 28

besk0_

function doublereal besk0_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal besk0_( doublereal* );
description
location
"specfun.cox", line 34

besk1_

function doublereal besk1_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal besk1_( doublereal* );
description
location
"specfun.cox", line 36

besy0_

function doublereal besy0_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal besy0_( doublereal* );
description
location
"specfun.cox", line 27

besy1_

function doublereal besy1_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal besy1_( doublereal* );
description
location
"specfun.cox", line 29

daw_

function doublereal daw_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal daw_( doublereal* );
description
location
"specfun.cox", line 17

derf_

function doublereal derf_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal derf_( doublereal* );
description
location
"specfun.cox", line 21

derfc_

function doublereal derfc_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal derfc_( doublereal* );
description
location
"specfun.cox", line 22

derfcx_

function doublereal derfcx_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal derfcx_( doublereal* );
description
location
"specfun.cox", line 23

dgamma_

function doublereal dgamma_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal dgamma_( doublereal* );
description
location
"specfun.cox", line 24

dlgama_

function doublereal dlgama_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal dlgama_( doublereal* );
description
location
"specfun.cox", line 16

ei_

function doublereal ei_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal ei_( doublereal* );
description
location
"specfun.cox", line 18

eone_

function doublereal eone_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal eone_( doublereal* );
description
location
"specfun.cox", line 19

expei_

function doublereal expei_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal expei_( doublereal* );
description
location
"specfun.cox", line 20

psi_

function doublereal psi_( doublereal* );

symbol type
function (prototype)
declaration 
doublereal psi_( doublereal* );
description
location
"specfun.cox", line 46

ren_

function doublereal ren_( int* );

symbol type
function (prototype)
declaration 
doublereal ren_( int* );
description
location
"specfun.cox", line 47

ribesl_

function int ribesl_(doublereal *x, doublereal *alpha, integer *nb, integer *ize, doublereal *b, integer *ncalc);

symbol type
function (prototype)
declaration 
int ribesl_(doublereal *x, doublereal *alpha, integer *nb, integer *ize, doublereal *b, 
              integer *ncalc);
description
location
"specfun.cox", line 39

rjbesl_

function int rjbesl_(doublereal *x, doublereal *alpha, integer *nb, doublereal *b, integer *ncalc);

symbol type
function (prototype)
declaration 
int rjbesl_(doublereal *x, doublereal *alpha, integer *nb, doublereal *b, integer *ncalc);
description
location
"specfun.cox", line 43

rkbesl_

function int rkbesl_(doublereal *x, doublereal *alpha, integer *nb, integer *ize, doublereal *b, integer *ncalc);

symbol type
function (prototype)
declaration 
int rkbesl_(doublereal *x, doublereal *alpha, integer *nb, integer *ize, doublereal *b, 
              integer *ncalc);
description
location
"specfun.cox", line 41

rybesl_

function int rybesl_(doublereal *x, doublereal *alpha, integer *nb, doublereal *b, integer *ncalc);

symbol type
function (prototype)
declaration 
int rybesl_(doublereal *x, doublereal *alpha, integer *nb, doublereal *b, integer *ncalc);
description
location
"specfun.cox", line 44

specfun Function Index

!

  • !, infix operator

    • b

  • besei0_, function
  • besei1_, function
  • besek0_, function
  • besek1_, function
  • besi0_, function
  • besi1_, function
  • besj0_, function
  • besj1_, function
  • besk0_, function
  • besk1_, function
  • BesselI, prefix operator
  • BesselI0, prefix operator
  • BesselI1, prefix operator
  • BesselJ, prefix operator
  • BesselJ0, prefix operator
  • BesselJ1, prefix operator
  • BesselK, prefix operator
  • BesselK0, prefix operator
  • BesselK1, prefix operator
  • BesselY, prefix operator
  • BesselY0, prefix operator
  • BesselY1, prefix operator
  • besy0_, function
  • besy1_, function

    • d

  • daw_, function
  • Dawson, prefix operator
  • derf_, function
  • derfc_, function
  • derfcx_, function
  • dgamma_, function
  • dlgama_, function

    • e

  • E1, prefix operator
  • Ei, prefix operator
  • ei_, function
  • eone_, function
  • Erf, prefix operator
  • Erfc, prefix operator
  • Erfcx, prefix operator
  • ExpBesselI, prefix operator
  • ExpBesselI0, prefix operator
  • ExpBesselI1, prefix operator
  • ExpBesselK, prefix operator
  • ExpBesselK0, prefix operator
  • ExpBesselK1, prefix operator
  • ExpEi, prefix operator
  • expei_, function

    • g

  • Gamma, prefix operator
  • GammaLn, prefix operator

    • p

  • Psi, prefix operator
  • psi_, function

    • r

  • Ren, nullfix operator
  • ren_, function
  • ribesl_, function
  • rjbesl_, function
  • rkbesl_, function
  • rybesl_, function