SLATEC Routines --- QK15I ---

*DECK QK15I
      SUBROUTINE QK15I (F, BOUN, INF, A, B, RESULT, ABSERR, RESABS,
     +   RESASC)
C***BEGIN PROLOGUE  QK15I
C***PURPOSE  The original (infinite integration range is mapped
C            onto the interval (0,1) and (A,B) is a part of (0,1).
C            it is the purpose to compute
C            I = Integral of transformed integrand over (A,B),
C            J = Integral of ABS(Transformed Integrand) over (A,B).
C***LIBRARY   SLATEC (QUADPACK)
C***CATEGORY  H2A3A2, H2A4A2
C***TYPE      SINGLE PRECISION (QK15I-S, DQK15I-D)
C***KEYWORDS  15-POINT GAUSS-KRONROD RULES, QUADPACK, QUADRATURE
C***AUTHOR  Piessens, Robert
C             Applied Mathematics and Programming Division
C             K. U. Leuven
C           de Doncker, Elise
C             Applied Mathematics and Programming Division
C             K. U. Leuven
C***DESCRIPTION
C
C           Integration Rule
C           Standard Fortran subroutine
C           Real version
C
C           PARAMETERS
C            ON ENTRY
C              F      - Real
C                       Function subprogram defining the integrand
C                       FUNCTION F(X). The actual name for F needs to be
C                       Declared E X T E R N A L in the calling program.
C
C              BOUN   - Real
C                       Finite bound of original integration
C                       Range (SET TO ZERO IF INF = +2)
C
C              INF    - Integer
C                       If INF = -1, the original interval is
C                                   (-INFINITY,BOUND),
C                       If INF = +1, the original interval is
C                                   (BOUND,+INFINITY),
C                       If INF = +2, the original interval is
C                                   (-INFINITY,+INFINITY) AND
C                       The integral is computed as the sum of two
C                       integrals, one over (-INFINITY,0) and one over
C                       (0,+INFINITY).
C
C              A      - Real
C                       Lower limit for integration over subrange
C                       of (0,1)
C
C              B      - Real
C                       Upper limit for integration over subrange
C                       of (0,1)
C
C            ON RETURN
C              RESULT - Real
C                       Approximation to the integral I
C                       Result is computed by applying the 15-POINT
C                       KRONROD RULE(RESK) obtained by optimal addition
C                       of abscissae to the 7-POINT GAUSS RULE(RESG).
C
C              ABSERR - Real
C                       Estimate of the modulus of the absolute error,
C                       WHICH SHOULD EQUAL or EXCEED ABS(I-RESULT)
C
C              RESABS - Real
C                       Approximation to the integral J
C
C              RESASC - Real
C                       Approximation to the integral of
C                       ABS((TRANSFORMED INTEGRAND)-I/(B-A)) over (A,B)
C
C***REFERENCES  (NONE)
C***ROUTINES CALLED  R1MACH
C***REVISION HISTORY  (YYMMDD)
C   800101  DATE WRITTEN
C   890531  Changed all specific intrinsics to generic.  (WRB)
C   890531  REVISION DATE from Version 3.2
C   891214  Prologue converted to Version 4.0 format.  (BAB)
C***END PROLOGUE  QK15I