org.jruby

Class RubyMath

java.lang.Object

org.jruby.RubyMath

public class RubyMath
extends java.lang.Object

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
private static class	RubyMath.NemesLogGamma Inner class to help with Γ functions

Field Summary

Fields

Modifier and Type	Field and Description
private static double[]	ASINH_COEF
private static double[]	ATANH_COEF
private static double[]	ERFC_COEF
private static double[]	ERFC2_COEF
private static double[]	ERFCC_COEF
private static double[]	FACTORIAL
private static double[]	NEMES_GAMMA_COEFF

Constructor Summary

Constructors

Constructor and Description
RubyMath()

Method Summary

Modifier and Type	Method and Description
static RubyFloat	acos(IRubyObject recv, IRubyObject x)
static RubyFloat	acos19(IRubyObject recv, IRubyObject x)
static RubyFloat	acosh(IRubyObject recv, IRubyObject x)
static RubyFloat	acosh19(IRubyObject recv, IRubyObject x)
static RubyFloat	asin(IRubyObject recv, IRubyObject x)
static RubyFloat	asin19(IRubyObject recv, IRubyObject x)
static RubyFloat	asinh(IRubyObject recv, IRubyObject x)
static RubyFloat	asinh19(IRubyObject recv, IRubyObject x)
static RubyFloat	atan(IRubyObject recv, IRubyObject x)
static RubyFloat	atan19(IRubyObject recv, IRubyObject x)
static RubyFloat	atan2(IRubyObject recv, IRubyObject x, IRubyObject y)
static RubyFloat	atan219(IRubyObject recv, IRubyObject x, IRubyObject y)
static RubyFloat	atanh_19(IRubyObject recv, IRubyObject x)
private static double	atanh_common(IRubyObject recv, IRubyObject x)
static RubyFloat	atanh(IRubyObject recv, IRubyObject x)
static RubyFloat	cbrt(IRubyObject recv, IRubyObject x)
private static double	chebylevSerie(double x, double[] coef)
static RubyFloat	cos(IRubyObject recv, IRubyObject x)
static RubyFloat	cos19(IRubyObject recv, IRubyObject x)
static RubyFloat	cosh(IRubyObject recv, IRubyObject x)
static RubyFloat	cosh19(IRubyObject recv, IRubyObject x)
static RubyModule	createMathModule(Ruby runtime) Create the Math module and add it to the Ruby runtime.
private static void	domainCheck(IRubyObject recv, double value, java.lang.String msg)
private static void	domainCheck19(IRubyObject recv, double value, java.lang.String msg)
static RubyFloat	erf(IRubyObject recv, IRubyObject x)
static RubyFloat	erf19(IRubyObject recv, IRubyObject x)
static RubyFloat	erfc(IRubyObject recv, IRubyObject x)
static RubyFloat	erfc19(IRubyObject recv, IRubyObject x)
static RubyFloat	exp(IRubyObject recv, IRubyObject exponent)
static RubyFloat	exp19(IRubyObject recv, IRubyObject exponent)
static RubyArray	frexp(IRubyObject recv, IRubyObject other)
static RubyArray	frexp19(IRubyObject recv, IRubyObject other)
static RubyFloat	gamma(IRubyObject recv, IRubyObject x) Based on Gergő Nemes's Gamma Function approximation formula, we compute approximate value of Gamma function of x.
static RubyFloat	hypot(IRubyObject recv, IRubyObject x, IRubyObject y)
static RubyFloat	hypot19(IRubyObject recv, IRubyObject x, IRubyObject y)
static RubyFloat	ldexp(IRubyObject recv, IRubyObject mantissa, IRubyObject exponent)
static RubyFloat	ldexp19(IRubyObject recv, IRubyObject mantissa, IRubyObject exponent)
static RubyArray	lgamma(IRubyObject recv, IRubyObject x) Based on Gergő Nemes's Gamma Function approximation formula, we compute Log Gamma function for real number x.
static RubyFloat	log_19(IRubyObject recv, IRubyObject[] args)
private static RubyFloat	log_common(IRubyObject recv, double value, double base, java.lang.String msg)
private static RubyFloat	log_common19(IRubyObject recv, double value, double base, java.lang.String msg)
static RubyFloat	log(IRubyObject recv, IRubyObject x) Returns the natural logarithm of x.
static RubyFloat	log10_19(IRubyObject recv, IRubyObject x)
static RubyFloat	log10(IRubyObject recv, IRubyObject x) Returns the base 10 logarithm of x.
static RubyFloat	log2_19(IRubyObject recv, IRubyObject x)
static RubyFloat	log2(IRubyObject recv, IRubyObject x) Returns the base 2 logarithm of x.
private static RubyFloat	needFloat(IRubyObject x)
private static double	nemes_gamma(double x)
private static double	sign(double x, double y)
static RubyFloat	sin(IRubyObject recv, IRubyObject x)
static RubyFloat	sin19(IRubyObject recv, IRubyObject x)
static RubyFloat	sinh(IRubyObject recv, IRubyObject x)
static RubyFloat	sinh19(IRubyObject recv, IRubyObject x)
static RubyFloat	sqrt(IRubyObject recv, IRubyObject x)
static RubyFloat	sqrt19(IRubyObject recv, IRubyObject x)
static RubyFloat	tan(IRubyObject recv, IRubyObject x)
static RubyFloat	tan19(IRubyObject recv, IRubyObject x)
static RubyFloat	tanh(IRubyObject recv, IRubyObject x)
static RubyFloat	tanh19(IRubyObject recv, IRubyObject x)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

ASINH_COEF

private static final double[] ASINH_COEF

ATANH_COEF

private static final double[] ATANH_COEF

ERFC_COEF

private static final double[] ERFC_COEF

ERFC2_COEF

private static final double[] ERFC2_COEF

ERFCC_COEF

private static final double[] ERFCC_COEF

FACTORIAL

private static final double[] FACTORIAL

NEMES_GAMMA_COEFF

private static final double[] NEMES_GAMMA_COEFF

Constructor Detail

RubyMath

public RubyMath()

Method Detail

createMathModule

public static RubyModule createMathModule(Ruby runtime)

Create the Math module and add it to the Ruby runtime.

domainCheck

private static void domainCheck(IRubyObject recv,
                                double value,
                                java.lang.String msg)

domainCheck19

private static void domainCheck19(IRubyObject recv,
                                  double value,
                                  java.lang.String msg)

chebylevSerie

private static double chebylevSerie(double x,
                                    double[] coef)

sign

private static double sign(double x,
                           double y)

needFloat

private static RubyFloat needFloat(IRubyObject x)

atan2

public static RubyFloat atan2(IRubyObject recv,
                              IRubyObject x,
                              IRubyObject y)

atan219

public static RubyFloat atan219(IRubyObject recv,
                                IRubyObject x,
                                IRubyObject y)

cos

public static RubyFloat cos(IRubyObject recv,
                            IRubyObject x)

cos19

public static RubyFloat cos19(IRubyObject recv,
                              IRubyObject x)

sin

public static RubyFloat sin(IRubyObject recv,
                            IRubyObject x)

sin19

public static RubyFloat sin19(IRubyObject recv,
                              IRubyObject x)

tan

public static RubyFloat tan(IRubyObject recv,
                            IRubyObject x)

tan19

public static RubyFloat tan19(IRubyObject recv,
                              IRubyObject x)

asin

public static RubyFloat asin(IRubyObject recv,
                             IRubyObject x)

asin19

public static RubyFloat asin19(IRubyObject recv,
                               IRubyObject x)

acos

public static RubyFloat acos(IRubyObject recv,
                             IRubyObject x)

acos19

public static RubyFloat acos19(IRubyObject recv,
                               IRubyObject x)

atan

public static RubyFloat atan(IRubyObject recv,
                             IRubyObject x)

atan19

public static RubyFloat atan19(IRubyObject recv,
                               IRubyObject x)

cosh

public static RubyFloat cosh(IRubyObject recv,
                             IRubyObject x)

cosh19

public static RubyFloat cosh19(IRubyObject recv,
                               IRubyObject x)

sinh

public static RubyFloat sinh(IRubyObject recv,
                             IRubyObject x)

sinh19

public static RubyFloat sinh19(IRubyObject recv,
                               IRubyObject x)

tanh

public static RubyFloat tanh(IRubyObject recv,
                             IRubyObject x)

tanh19

public static RubyFloat tanh19(IRubyObject recv,
                               IRubyObject x)

acosh

public static RubyFloat acosh(IRubyObject recv,
                              IRubyObject x)

acosh19

public static RubyFloat acosh19(IRubyObject recv,
                                IRubyObject x)

asinh

public static RubyFloat asinh(IRubyObject recv,
                              IRubyObject x)

asinh19

public static RubyFloat asinh19(IRubyObject recv,
                                IRubyObject x)

atanh

public static RubyFloat atanh(IRubyObject recv,
                              IRubyObject x)

atanh_19

public static RubyFloat atanh_19(IRubyObject recv,
                                 IRubyObject x)

atanh_common

private static double atanh_common(IRubyObject recv,
                                   IRubyObject x)

exp

public static RubyFloat exp(IRubyObject recv,
                            IRubyObject exponent)

exp19

public static RubyFloat exp19(IRubyObject recv,
                              IRubyObject exponent)

log_common

private static RubyFloat log_common(IRubyObject recv,
                                    double value,
                                    double base,
                                    java.lang.String msg)

log_common19

private static RubyFloat log_common19(IRubyObject recv,
                                      double value,
                                      double base,
                                      java.lang.String msg)

log

public static RubyFloat log(IRubyObject recv,
                            IRubyObject x)

Returns the natural logarithm of x.

log_19

public static RubyFloat log_19(IRubyObject recv,
                               IRubyObject[] args)

log10

public static RubyFloat log10(IRubyObject recv,
                              IRubyObject x)

Returns the base 10 logarithm of x.

log10_19

public static RubyFloat log10_19(IRubyObject recv,
                                 IRubyObject x)

log2

public static RubyFloat log2(IRubyObject recv,
                             IRubyObject x)

Returns the base 2 logarithm of x.

log2_19

public static RubyFloat log2_19(IRubyObject recv,
                                IRubyObject x)

sqrt

public static RubyFloat sqrt(IRubyObject recv,
                             IRubyObject x)

sqrt19

public static RubyFloat sqrt19(IRubyObject recv,
                               IRubyObject x)

cbrt

public static RubyFloat cbrt(IRubyObject recv,
                             IRubyObject x)

hypot

public static RubyFloat hypot(IRubyObject recv,
                              IRubyObject x,
                              IRubyObject y)

hypot19

public static RubyFloat hypot19(IRubyObject recv,
                                IRubyObject x,
                                IRubyObject y)

frexp

public static RubyArray frexp(IRubyObject recv,
                              IRubyObject other)

frexp19

public static RubyArray frexp19(IRubyObject recv,
                                IRubyObject other)

ldexp

public static RubyFloat ldexp(IRubyObject recv,
                              IRubyObject mantissa,
                              IRubyObject exponent)

ldexp19

public static RubyFloat ldexp19(IRubyObject recv,
                                IRubyObject mantissa,
                                IRubyObject exponent)

erf

public static RubyFloat erf(IRubyObject recv,
                            IRubyObject x)

erf19

public static RubyFloat erf19(IRubyObject recv,
                              IRubyObject x)

erfc

public static RubyFloat erfc(IRubyObject recv,
                             IRubyObject x)

erfc19

public static RubyFloat erfc19(IRubyObject recv,
                               IRubyObject x)

gamma

public static RubyFloat gamma(IRubyObject recv,
                              IRubyObject x)

Based on Gergő Nemes's Gamma Function approximation formula, we compute approximate value of Gamma function of x.

Parameters:

recv - Math module

x - a real number

Returns:

Γ(x) for real number x

See Also:

New asymptotic expansion for the Γ(x) function

lgamma

public static RubyArray lgamma(IRubyObject recv,
                               IRubyObject x)

Based on Gergő Nemes's Gamma Function approximation formula, we compute Log Gamma function for real number x.

Parameters:

recv - Math module

x - a real number

Returns:

2-element array [ln(Γ(x)), sgn] for real number x, where sgn is the sign of Γ(x) when exponentiated

See Also:

gamma(org.jruby.runtime.builtin.IRubyObject, org.jruby.runtime.builtin.IRubyObject)

nemes_gamma

private static double nemes_gamma(double x)