java.lang.Object
- gov.nih.mipav.model.algorithms.CDFLIB

```
public class CDFLIB
extends java.lang.Object
```
Legalities ========== We place our efforts in writing this package in the public domain. However, code from ACM publications is subject to the ACM policy (below). References ========== Incomplete Beta --------------- DiDinato, A. R. and Morris, A. H. (1993) ``Algorithm 708: Significant Digit Computation of the Incomplete Beta Function Ratios.'' ACM Trans. Math. Softw. 18, 360-373. Incomplete Gamma ---------------- DiDinato, A. R. and Morris, A. H. (1986) ``Computation of the incomplete gamma function ratios and their inverse.'' ACM Trans. Math. Softw. 12, 377-393. Cumulative Normal ----------------- Cody, W.D. (1993). ``ALGORITHM 715: SPECFUN - A Portable FORTRAN Package of Special Function Routines and Test Drivers'' ACM Trans. Math. Softw. 19, 22-32. Inverse Normal -------------- ``Algorithm AS241'' (1988) Appl. Statist. 37, NO. 3, 477-484. Finding a Zero of a Monotone Function ------------------------------------- Alefeld, G. E., Potra, F. A., Shi, Y. (1995) ``Algorithm 748: Enclosing Zeros of Continuous Functions.'', by G. E. Alefeld, F. A. Potra, YiXun Shi, ACM Trans. Math. Softw., 21, No. 3, 327-344 ACM Policy on Use of Code ========================= Here is the software Policy of the ACM. Submittal of an algorithm for publication in one of the ACM Transactions implies that unrestricted use of the algorithm within a computer is permissible. General permission to copy and distribute the algorithm without fee is granted provided that the copies are not made or distributed for direct commercial advantage. The ACM copyright notice and the title of the publication and its date appear, and notice is given that copying is by permission of the Association for Computing Machinery. To copy otherwise, or to republish, requires a fee and/or specific permission. Krogh, F. (1997) ``Algorithms Policy.'' ACM Tran. Math. Softw. 13, 183-186. We do not know the policy of the Royal Statistical Society; they have discontinued publishing algorithms. However, they made a number of these programs available on Statlib on condition that there be no charge for their distribution. Here is our standard disclaimer. NO WARRANTY WE PROVIDE ABSOLUTELY NO WARRANTY OF ANY KIND EITHER EXPRESSED OR IMPLIED, INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THIS PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING, REPAIR OR CORRECTION.IN NO EVENT SHALL THE UNIVERSITY OF TEXAS OR ANY OF ITS COMPONENT INSTITUTIONS INCLUDING M. D. ANDERSON HOSPITAL BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY LOST PROFITS, LOST MONIES, OR OTHER SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE USE OR INABILITY TO USE (INCLUDING BUT NOT LIMITED TO LOSS OF DATA OR DATA OR ITS ANALYSIS BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY THIRD PARTIES) THE PROGRAM.

Field Summary

Fields
Modifier and Type	Field	Description
`private double`	`a_dzror`
`private double`	`absstp`
`private double`	`abstol`
`private double`	`b_dzror`
`private double`	`big`
`private double`	`c_dzror`
`private double`	`d_dzror`
`private int`	`ext_dzror`
`private double`	`fa_dzror`
`private double`	`fb_dzror`
`private double`	`fbig_dinvr`
`private double`	`fc_dzror`
`private double`	`fd_dzror`
`private double`	`fda_dzror`
`private double`	`fdb_dzror`
`private boolean`	`first_dzror`
`private double`	`fsmall_dinvr`
`private int`	`i99999_dinvr`
`private int`	`i99999_dzror`
`private double`	`m_dzror`
`private double`	`mb_dzror`
`private double`	`p_dzror`
`private double`	`q_dzror`
`private boolean`	`qbdd_dinvr`
`private boolean`	`qcond_dinvr`
`private boolean[]`	`qdum1_dinvr`
`private boolean[]`	`qdum2_dinvr`
`private boolean`	`qincr_dinvr`
`private boolean`	`qlim_dinvr`
`private boolean`	`qrzero_dzror`
`private boolean`	`qup_dinvr`
`private double`	`relstp`
`private double`	`reltol`
`private double`	`small`
`private double`	`step_dinvr`
`private double`	`stpmul`
`private double`	`tol_dzror`
`private double`	`w_dzror`
`private double[]`	`xhi_dinvr`
`private double`	`xlb_dinvr`
`private double[]`	`xlo_dinvr`
`private double`	`xsave_dinvr`
`private double`	`xub_dinvr`
`private double`	`xxhi`
`private double`	`xxlo`
`private double`	`yy_dinvr`

Constructor Summary

Constructors
Constructor Description

CDFLIB()

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`private double`	`algdiv(double a, double b)`
`private double`	`alnrel(double a)`
`private double`	`apser(double a, double b, double x, double eps)`
`private double`	`basym(double a, double b, double lambda, double eps)`
`private double`	`bcorr(double a0, double b0)`
`private double`	`betaln(double a0, double b0)`
`private double`	`bfrac(double a, double b, double x, double y, double lambda, double eps)`
`private void`	`bgrat(double a, double b, double x, double y, double[] w, double eps, int[] ierr)`
`private double`	`bpser(double a, double b, double x, double eps)`
`private void`	`bratio(double a, double b, double x, double y, double[] w, double[] w1, int[] ierr)`
`private double`	`brcmp1(int mu, double a, double b, double x, double y)`
`private double`	`brcomp(double a, double b, double x, double y)`
`private double`	`bup(double a, double b, double x, double y, int n, double eps)`
`private void`	`cdff(int which, double[] p, double[] q, double[] f, double[] dfn, double[] dfd, int[] status, double[] bound)`
`private void`	`cumf(double f, double dfn, double dfd, double[] cum, double[] ccum)`
`private void`	`dinvr(int[] status, double[] x, double[] fx, boolean[] qleft, boolean[] qhi)`
`private void`	`dstinv(double zsmall, double zbig, double zabsst, double zrelst, double zstpmu, double zabsto, double zrelto)`
`private void`	`dstzr(double zxlo, double zxhi, double zabstl, double zreltl)`
`private void`	`dzror(int[] status, double[] x, double[] fx, double[] xlo, double[] xhi, boolean[] qleft, boolean[] qhi)`
`private double`	`EPSILON()`
`private double`	`erf(double x)`
`private double`	`erfc1(int ind, double x)`
`private double`	`esum(int mu, double x)`
`private double`	`evaluate_polynomial(double[] a, double x)`
`private double`	`exparg(int l)`
`private double`	`fpser(double a, double b, double x, double eps)`
`private double`	`ftol(double zx)`
`private double`	`gam1(double a)`
`private double`	`gamln(double a)`
`private double`	`gamln1(double a)`
`private void`	`grat1(double a, double x, double r, double[] p, double[] q, double eps)`
`private double`	`gsumln(double a, double b)`
`private int`	`ipmpar(int i)`
`private double`	`psi(double xx)`
`private boolean`	`qxmon(double zx, double zy, double zz)`
`private double`	`rexp(double x)`
`private double`	`rlog1(double x)`
`void`	`selfTest()`
`private double`	`spmpar(int i)`

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

small
```
private double small
```

big
```
private double big
```

absstp
```
private double absstp
```

relstp
```
private double relstp
```

stpmul
```
private double stpmul
```

abstol
```
private double abstol
```

reltol
```
private double reltol
```

xxlo
```
private double xxlo
```

xxhi
```
private double xxhi
```

i99999_dinvr
```
private int i99999_dinvr
```

fbig_dinvr
```
private double fbig_dinvr
```

fsmall_dinvr
```
private double fsmall_dinvr
```

xsave_dinvr
```
private double xsave_dinvr
```

yy_dinvr
```
private double yy_dinvr
```

step_dinvr
```
private double step_dinvr
```

xub_dinvr
```
private double xub_dinvr
```

xlb_dinvr
```
private double xlb_dinvr
```

xlo_dinvr
```
private double[] xlo_dinvr
```

xhi_dinvr
```
private double[] xhi_dinvr
```

qdum1_dinvr
```
private boolean[] qdum1_dinvr
```

qdum2_dinvr
```
private boolean[] qdum2_dinvr
```

qup_dinvr
```
private boolean qup_dinvr
```

qincr_dinvr
```
private boolean qincr_dinvr
```

qcond_dinvr
```
private boolean qcond_dinvr
```

qlim_dinvr
```
private boolean qlim_dinvr
```

qbdd_dinvr
```
private boolean qbdd_dinvr
```

i99999_dzror
```
private int i99999_dzror
```

fda_dzror
```
private double fda_dzror
```

fdb_dzror
```
private double fdb_dzror
```

m_dzror
```
private double m_dzror
```

fb_dzror
```
private double fb_dzror
```

a_dzror
```
private double a_dzror
```

fa_dzror
```
private double fa_dzror
```

b_dzror
```
private double b_dzror
```

c_dzror
```
private double c_dzror
```

fc_dzror
```
private double fc_dzror
```

mb_dzror
```
private double mb_dzror
```

tol_dzror
```
private double tol_dzror
```

d_dzror
```
private double d_dzror
```

fd_dzror
```
private double fd_dzror
```

p_dzror
```
private double p_dzror
```

q_dzror
```
private double q_dzror
```

w_dzror
```
private double w_dzror
```

ext_dzror
```
private int ext_dzror
```

first_dzror
```
private boolean first_dzror
```

qrzero_dzror
```
private boolean qrzero_dzror
```

Constructor Detail
- CDFLIB
```
public CDFLIB()
```

Method Detail

selfTest
```
public void selfTest()
```

cdff

private void cdff(int which,
                  double[] p,
                  double[] q,
                  double[] f,
                  double[] dfn,
                  double[] dfd,
                  int[] status,
                  double[] bound)

dstinv

private void dstinv(double zsmall,
                    double zbig,
                    double zabsst,
                    double zrelst,
                    double zstpmu,
                    double zabsto,
                    double zrelto)

dinvr

private void dinvr(int[] status,
                   double[] x,
                   double[] fx,
                   boolean[] qleft,
                   boolean[] qhi)

dstzr

private void dstzr(double zxlo,
                   double zxhi,
                   double zabstl,
                   double zreltl)

dzror

private void dzror(int[] status,
                   double[] x,
                   double[] fx,
                   double[] xlo,
                   double[] xhi,
                   boolean[] qleft,
                   boolean[] qhi)

ftol
```
private double ftol(double zx)
```

qxmon

private boolean qxmon(double zx,
                      double zy,
                      double zz)

cumf

private void cumf(double f,
                  double dfn,
                  double dfd,
                  double[] cum,
                  double[] ccum)

spmpar
```
private double spmpar(int i)
```

ipmpar
```
private int ipmpar(int i)
```

EPSILON
```
private double EPSILON()
```

bratio

private void bratio(double a,
                    double b,
                    double x,
                    double y,
                    double[] w,
                    double[] w1,
                    int[] ierr)

basym

private double basym(double a,
                     double b,
                     double lambda,
                     double eps)

bgrat

private void bgrat(double a,
                   double b,
                   double x,
                   double y,
                   double[] w,
                   double eps,
                   int[] ierr)

grat1

private void grat1(double a,
                   double x,
                   double r,
                   double[] p,
                   double[] q,
                   double eps)

rexp
```
private double rexp(double x)
```

erf
```
private double erf(double x)
```

erfc1

private double erfc1(int ind,
                     double x)

bup

private double bup(double a,
                   double b,
                   double x,
                   double y,
                   int n,
                   double eps)

brcmp1

private double brcmp1(int mu,
                      double a,
                      double b,
                      double x,
                      double y)

esum

private double esum(int mu,
                    double x)

bfrac

private double bfrac(double a,
                     double b,
                     double x,
                     double y,
                     double lambda,
                     double eps)

brcomp

private double brcomp(double a,
                      double b,
                      double x,
                      double y)

rlog1
```
private double rlog1(double x)
```

fpser

private double fpser(double a,
                     double b,
                     double x,
                     double eps)

exparg
```
private double exparg(int l)
```

apser

private double apser(double a,
                     double b,
                     double x,
                     double eps)

psi
```
private double psi(double xx)
```

evaluate_polynomial

private double evaluate_polynomial(double[] a,
                                   double x)

bpser

private double bpser(double a,
                     double b,
                     double x,
                     double eps)

gam1
```
private double gam1(double a)
```

betaln

private double betaln(double a0,
                      double b0)

bcorr

private double bcorr(double a0,
                     double b0)

gsumln

private double gsumln(double a,
                      double b)

algdiv

private double algdiv(double a,
                      double b)

alnrel
```
private double alnrel(double a)
```

gamln
```
private double gamln(double a)
```

gamln1
```
private double gamln1(double a)
```

Class CDFLIB

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

small

big

absstp

relstp

stpmul

abstol

reltol

xxlo

xxhi

i99999_dinvr

fbig_dinvr

fsmall_dinvr

xsave_dinvr

yy_dinvr

step_dinvr

xub_dinvr

xlb_dinvr

xlo_dinvr

xhi_dinvr

qdum1_dinvr

qdum2_dinvr

qup_dinvr

qincr_dinvr

qcond_dinvr

qlim_dinvr

qbdd_dinvr

i99999_dzror

fda_dzror

fdb_dzror

m_dzror

fb_dzror

a_dzror

fa_dzror

b_dzror

c_dzror

fc_dzror

mb_dzror

tol_dzror

d_dzror

fd_dzror

p_dzror

q_dzror

w_dzror

ext_dzror

first_dzror

qrzero_dzror

Constructor Detail

CDFLIB

Method Detail

selfTest

cdff

dstinv

dinvr

dstzr

dzror

ftol

qxmon

cumf

spmpar

ipmpar

EPSILON

bratio

basym

bgrat

grat1

rexp

erf

erfc1

bup

brcmp1

esum

bfrac

brcomp

rlog1