# SLATEC Routines --- DPPGQ8 ---

```*DECK DPPGQ8
SUBROUTINE DPPGQ8 (FUN, LDC, C, XI, LXI, KK, ID, A, B, INPPV, ERR,
+   ANS, IERR)
C***BEGIN PROLOGUE  DPPGQ8
C***SUBSIDIARY
C***LIBRARY   SLATEC
C***TYPE      DOUBLE PRECISION (PPGQ8-S, DPPGQ8-D)
C***AUTHOR  Jones, R. E., (SNLA)
C***DESCRIPTION
C
C     Abstract    **** A DOUBLE PRECISION routine ****
C
C        DPPGQ8, a modification of GAUS8, integrates the
C        product of FUN(X) by the ID-th derivative of a spline
C        DPPVAL(LDC,C,XI,LXI,KK,ID,X,INPPV)  between limits A and B.
C
C     Description of Arguments
C
C      Input-- FUN,C,XI,A,B,ERR are DOUBLE PRECISION
C        FUN - Name of external function of one argument which
C              multiplies DPPVAL.
C        LDC - Leading dimension of matrix C, LDC .GE. KK
C        C   - Matrix of Taylor derivatives of dimension at least
C              (K,LXI)
C        XI  - Breakpoint vector of length LXI+1
C        LXI - Number of polynomial pieces
C        KK  - Order of the spline, KK .GE. 1
C        ID  - Order of the spline derivative, 0 .LE. ID .LE. KK-1
C        A   - Lower limit of integral
C        B   - Upper limit of integral (may be less than A)
C        INPPV- Initialization parameter for DPPVAL
C        ERR - Is a requested pseudorelative error tolerance.  Normally
C              pick a value of ABS(ERR) .LT. 1D-3.  ANS will normally
C              have no more error than ABS(ERR) times the integral of
C              the absolute value of FUN(X)*DPPVAL(LDC,C,XI,LXI,KK,ID,X,
C              INPPV).
C
C
C      Output-- ERR,ANS are DOUBLE PRECISION
C        ERR - Will be an estimate of the absolute error in ANS if the
C              input value of ERR was negative.  (ERR Is unchanged if
C              the input value of ERR was nonnegative.)  The estimated
C              error is solely for information to the user and should
C              not be used as a correction to the computed integral.
C        ANS - Computed value of integral
C        IERR- A status code
C            --Normal Codes
C               1 ANS most likely meets requested error tolerance,
C                 or A=B.
C              -1 A and B are too nearly equal to allow normal
C                 integration.  ANS is set to zero.
C            --Abnormal Code
C               2 ANS probably does not meet requested error tolerance.
C