SLATEC Routines --- DINTRV ---

*DECK DINTRV
      SUBROUTINE DINTRV (XT, LXT, X, ILO, ILEFT, MFLAG)
C***BEGIN PROLOGUE  DINTRV
C***PURPOSE  Compute the largest integer ILEFT in 1 .LE. ILEFT .LE. LXT
C            such that XT(ILEFT) .LE. X where XT(*) is a subdivision of
C            the X interval.
C***LIBRARY   SLATEC
C***CATEGORY  E3, K6
C***TYPE      DOUBLE PRECISION (INTRV-S, DINTRV-D)
C***KEYWORDS  B-SPLINE, DATA FITTING, INTERPOLATION, SPLINES
C***AUTHOR  Amos, D. E., (SNLA)
C***DESCRIPTION
C
C     Written by Carl de Boor and modified by D. E. Amos
C
C     Abstract    **** a double precision routine ****
C         DINTRV is the INTERV routine of the reference.
C
C         DINTRV computes the largest integer ILEFT in 1 .LE. ILEFT .LE.
C         LXT such that XT(ILEFT) .LE. X where XT(*) is a subdivision of
C         the X interval.  Precisely,
C
C                      X .LT. XT(1)                1         -1
C         if  XT(I) .LE. X .LT. XT(I+1)  then  ILEFT=I  , MFLAG=0
C           XT(LXT) .LE. X                         LXT        1,
C
C         That is, when multiplicities are present in the break point
C         to the left of X, the largest index is taken for ILEFT.
C
C     Description of Arguments
C
C         Input      XT,X are double precision
C          XT      - XT is a knot or break point vector of length LXT
C          LXT     - length of the XT vector
C          X       - argument
C          ILO     - an initialization parameter which must be set
C                    to 1 the first time the spline array XT is
C                    processed by DINTRV.
C
C         Output
C          ILO     - ILO contains information for efficient process-
C                    ing after the initial call and ILO must not be
C                    changed by the user.  Distinct splines require
C                    distinct ILO parameters.
C          ILEFT   - largest integer satisfying XT(ILEFT) .LE. X
C          MFLAG   - signals when X lies out of bounds
C
C     Error Conditions
C         None
C
C***REFERENCES  Carl de Boor, Package for calculating with B-splines,
C                 SIAM Journal on Numerical Analysis 14, 3 (June 1977),
C                 pp. 441-472.
C***ROUTINES CALLED  (NONE)
C***REVISION HISTORY  (YYMMDD)
C   800901  DATE WRITTEN
C   890831  Modified array declarations.  (WRB)
C   890831  REVISION DATE from Version 3.2
C   891214  Prologue converted to Version 4.0 format.  (BAB)
C   920501  Reformatted the REFERENCES section.  (WRB)
C***END PROLOGUE  DINTRV