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Class graph.SpecialFunction

java.lang.Object
   |
   +----graph.SpecialFunction

public final class SpecialFunction
extends Object

This class contains physical constants and special functions not found in the java.lang.Math class. Like the java.lang.Math class this class is final and cannot be subclassed. All physical constants are in cgs units.

NOTE: These special functions do not necessarily use the fastest or most accurate algorithms.

Version:: $Revision: 1.1.1.1 $, $Date: 1999/11/15 20:37:49 $.
Author:: Leigh Brookshaw Author's original version: Revision: 1.7, Date: 1996/08/19 06:04:15

AU: Astronomical Unit (radius of the Earth's orbit).
AVOGADRO: Avogadro Number.
BOLTZMAN: Boltzman Constant.
ECHARGE: Elementary Charge.
EMASS: Electron Mass.
GASCONSTANT: Gas Constant.
GRAV: Gravitational Constant.
GRAVACC: Gravitational Acceleration at the Earths surface.
LIGHTSPEED: Speed of Light in a Vacuum.
PLANCK: Planck constant.
PMASS: Proton Mass.
SOLARFLUX: Solar Flux.
SOLARLUM: Solar Luminosity.
SOLARMASS: Solar Mass.
SOLARRADIUS: Solar Radius.
STEFANBOLTZ: Stefan-Boltzman Constant.

acosh(double)
asinh(double)
atanh(double)
chisq(double, double): Returns the area under the left hand tail (from 0 to x) of the Chi square probability density function with v degrees of freedom.
chisqc(double, double): Returns the area under the right hand tail (from x to infinity) of the Chi square probability density function with v degrees of freedom:
cosh(double)
erf(double)
erfc(double)
fac(double)
fac(int)
gamma(double)
ibeta(double, double, double)
igam(double, double)
igamc(double, double)
j0(double)
j1(double)
jn(int, double)
log10(double)
normal(double)
poisson(int, double): Returns the sum of the first k terms of the Poisson distribution.
poissonc(int, double): Returns the sum of the terms k+1 to infinity of the Poisson distribution.
sinh(double)
tanh(double)
y0(double)
y1(double)
yn(int, double)

BOLTZMAN

 public static final double BOLTZMAN

Boltzman Constant. Units erg/deg(K)

ECHARGE

 public static final double ECHARGE

Elementary Charge. Units statcoulomb

EMASS

 public static final double EMASS

Electron Mass. Units g

PMASS

 public static final double PMASS

Proton Mass. Units g

GRAV

 public static final double GRAV

Gravitational Constant. Units dyne-cm^2/g^2

PLANCK

 public static final double PLANCK

Planck constant. Units erg-sec

LIGHTSPEED

 public static final double LIGHTSPEED

Speed of Light in a Vacuum. Units cm/sec

STEFANBOLTZ

 public static final double STEFANBOLTZ

Stefan-Boltzman Constant. Units erg/cm^2-sec-deg^4

AVOGADRO

 public static final double AVOGADRO

Avogadro Number. Units 1/mol

GASCONSTANT

 public static final double GASCONSTANT

Gas Constant. Units erg/deg-mol

GRAVACC

 public static final double GRAVACC

Gravitational Acceleration at the Earths surface. Units cm/sec^2

SOLARMASS

 public static final double SOLARMASS

Solar Mass. Units g

SOLARRADIUS

 public static final double SOLARRADIUS

Solar Radius. Units cm

SOLARLUM

 public static final double SOLARLUM

Solar Luminosity. Units erg/sec

SOLARFLUX

 public static final double SOLARFLUX

Solar Flux. Units erg/cm^2-sec

 public static final double AU

Astronomical Unit (radius of the Earth's orbit). Units cm

log10

 public static double log10(double x) throws ArithmeticException

Parameters:: x - a double value
Returns:: The log₁₀

cosh

 public static double cosh(double x) throws ArithmeticException

Parameters:: x - a double value
Returns:: the hyperbolic cosine of the argument

sinh

 public static double sinh(double x) throws ArithmeticException

Parameters:: x - a double value
Returns:: the hyperbolic sine of the argument

tanh

 public static double tanh(double x) throws ArithmeticException

Parameters:: x - a double value
Returns:: the hyperbolic tangent of the argument

acosh

 public static double acosh(double x) throws ArithmeticException

Parameters:: x - a double value
Returns:: the hyperbolic arc cosine of the argument

asinh

 public static double asinh(double xx) throws ArithmeticException

Parameters:: x - a double value
Returns:: the hyperbolic arc sine of the argument

atanh

 public static double atanh(double x) throws ArithmeticException

Parameters:: x - a double value
Returns:: the hyperbolic arc tangent of the argument

 public static double j0(double x) throws ArithmeticException

Parameters:: x - a double value
Returns:: the Bessel function of order 0 of the argument.

 public static double j1(double x) throws ArithmeticException

Parameters:: x - a double value
Returns:: the Bessel function of order 1 of the argument.

 public static double jn(int n,
                         double x) throws ArithmeticException

Parameters:: n - integer order; x - a double value
Returns:: the Bessel function of order n of the argument.

 public static double y0(double x) throws ArithmeticException

Parameters:: x - a double value
Returns:: the Bessel function of the second kind, of order 0 of the argument.

 public static double y1(double x) throws ArithmeticException

Parameters:: x - a double value
Returns:: the Bessel function of the second kind, of order 1 of the argument.

 public static double yn(int n,
                         double x) throws ArithmeticException

Parameters:: n - integer order; x - a double value
Returns:: the Bessel function of the second kind, of order n of the argument.

fac

 public static double fac(double x) throws ArithmeticException

Parameters:: x - a double value
Returns:: the factorial of the argument

fac

 public static int fac(int j) throws ArithmeticException

Parameters:: x - an integer value
Returns:: the factorial of the argument

gamma

 public static double gamma(double x) throws ArithmeticException

Parameters:: x - a double value
Returns:: the Gamma function of the value.
Converted to Java from
Cephes Math Library Release 2.2: July, 1992
Copyright 1984, 1987, 1989, 1992 by Stephen L. Moshier
Direct inquiries to 30 Frost Street, Cambridge, MA 02140

igamc

 public static double igamc(double a,
                            double x) throws ArithmeticException

Parameters:: a - double value; x - double value
Returns:: the Complemented Incomplete Gamma function.
Converted to Java from
Cephes Math Library Release 2.2: July, 1992
Copyright 1984, 1987, 1989, 1992 by Stephen L. Moshier
Direct inquiries to 30 Frost Street, Cambridge, MA 02140

igam

 public static double igam(double a,
                           double x) throws ArithmeticException

Parameters:: a - double value; x - double value
Returns:: the Incomplete Gamma function.
Converted to Java from
Cephes Math Library Release 2.2: July, 1992
Copyright 1984, 1987, 1989, 1992 by Stephen L. Moshier
Direct inquiries to 30 Frost Street, Cambridge, MA 02140

chisq

 public static double chisq(double df,
                            double x) throws ArithmeticException

Returns the area under the left hand tail (from 0 to x) of the Chi square probability density function with v degrees of freedom.

Parameters:: df - degrees of freedom; x - double value
Returns:: the Chi-Square function.

chisqc

 public static double chisqc(double df,
                             double x) throws ArithmeticException

Returns the area under the right hand tail (from x to infinity) of the Chi square probability density function with v degrees of freedom:

Parameters:: df - degrees of freedom; x - double value
Returns:: the Chi-Square function.

poisson

 public static double poisson(int k,
                              double x) throws ArithmeticException

Returns the sum of the first k terms of the Poisson distribution.

Parameters:: k - number of terms; x - double value

poissonc

 public static double poissonc(int k,
                               double x) throws ArithmeticException

Returns the sum of the terms k+1 to infinity of the Poisson distribution.

Parameters:: k - start; x - double value

normal

 public static double normal(double a) throws ArithmeticException

Parameters:: a - double value
Returns:: The area under the Gaussian probability density function, integrated from minus infinity to x:

erfc

 public static double erfc(double a) throws ArithmeticException

Parameters:: a - double value
Returns:: The complementary Error function
Converted to Java from
Cephes Math Library Release 2.2: July, 1992
Copyright 1984, 1987, 1989, 1992 by Stephen L. Moshier
Direct inquiries to 30 Frost Street, Cambridge, MA 02140

erf

 public static double erf(double x) throws ArithmeticException

Parameters:: a - double value
Returns:: The Error function
Converted to Java from
Cephes Math Library Release 2.2: July, 1992
Copyright 1984, 1987, 1989, 1992 by Stephen L. Moshier
Direct inquiries to 30 Frost Street, Cambridge, MA 02140

ibeta

 public static double ibeta(double aa,
                            double bb,
                            double xx) throws ArithmeticException

Parameters:: aa - double value; bb - double value; xx - double value
Returns:: The Incomplete Beta Function evaluated from zero to xx.
Converted to Java from
Cephes Math Library Release 2.3: July, 1995
Copyright 1984, 1995 by Stephen L. Moshier
Direct inquiries to 30 Frost Street, Cambridge, MA 02140

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