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```SUBROUTINE BDTR

PURPOSE
COMPUTES P(X) = PROBABILITY THAT THE RANDOM VARIABLE U,
DISTRIBUTED ACCORDING TO THE BETA DISTRIBUTION WITH
PARAMETERS A AND B, IS LESS THAN OR EQUAL TO X.  F(A,B,X),
THE ORDINATE OF THE BETA DENSITY AT X, IS ALSO COMPUTED.

USAGE
CALL BDTR(X,A,B,P,D,IER)

DESCRIPTION OF PARAMETERS
X   - INPUT SCALAR FOR WHICH P(X) IS COMPUTED.
A   - BETA DISTRIBUTION PARAMETER (CONTINUOUS).
B   - BETA DISTRIBUTION PARAMETER (CONTINUOUS).
P   - OUTPUT PROBABILITY.
D   - OUTPUT DENSITY.
IER - RESULTANT ERROR CODE WHERE
IER= 0 --- NO ERROR
IER=-1,+1  CDTR HAS BEEN CALLED AND AN ERROR HAS
OCCURRED.  SEE CDTR.
IER=-2 --- AN INPUT PARAMETER IS INVALID.  X IS LESS
THAN 0.0 OR GREATER THAN 1.0, OR EITHER A OR
B IS LESS THAN 0.5 OR GREATER THAN 10**(+5).
P AND D ARE SET TO -1.E75.
IER=+2 --- INVALID OUTPUT.  P IS LESS THAN ZERO OR
GREATER THAN ONE.  P IS SET TO 1.E75.

REMARKS
SEE MATHEMATICAL DESCRIPTION.

SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED
DLGAM
NDTR
CDTR

METHOD
REFER TO R.E. BARGMANN AND S.P. GHOSH, STATISTICAL
DISTRIBUTION PROGRAMS FOR A COMPUTER LANGUAGE,
IBM RESEARCH REPORT RC-1094, 1963.

```