NAG Library Manual, Mark 30
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NAG FL Interface Introduction
Example description

 D01RAF Example Program Results

                  Quadrature rule :             GK41            
             Maximum Subdivisions :               50
                    Extrapolation :             ON              
          Extrapolation safeguard :       1.0000E-12

 Integral |  NEEDI  |   DINEST   |   ERREST   
         1         0  -2.8431E-02   1.1234E-14
         2         0   7.9083E-03   2.6600E-09

 Information on integration: 
 NI =   2, nseg =   7, nsdiv =   3.
 Integral  1 total approximations:   2.
 Integral  2 total approximations:   4.

 Information on subdivision and evaluations over segments.

 Segment   1.
 Sid =   1, Parent =   0, Level =   1.
 Children = (  2,  3).
 Bounds ( 0.0000E+00, 3.1416E+00).
 Integral  1 approximation : -2.8431E-02.
 Integral  1 error estimate:  8.0372E-04.
 Integral  1 evaluation has been superseded by descendants.
 Integral  2 approximation : -3.6050E-01.
 Integral  2 error estimate:  4.2596E+00.
 Integral  2 evaluation has been superseded by descendants.

 Segment   2.
 Sid =   2, Parent =   1, Level =   2.
 Children = (  6,  7).
 Bounds ( 0.0000E+00, 1.5708E+00).
 Integral  1 approximation : -1.2285E-03.
 Integral  1 error estimate:  2.8161E-15.
 Integral  2 approximation :  1.9771E-03.
 Integral  2 error estimate:  4.0437E-01.
 Integral  2 evaluation has been superseded by descendants.

 Segment   3.
 Sid =   2, Parent =   1, Level =   2.
 Children = (  4,  5).
 Bounds ( 1.5708E+00, 3.1416E+00).
 Integral  1 approximation : -2.7202E-02.
 Integral  1 error estimate:  8.4182E-15.
 Integral  2 approximation :  5.9313E-03.
 Integral  2 error estimate:  3.0259E+00.
 Integral  2 evaluation has been superseded by descendants.

 Segment   4.
 Sid =   3, Parent =   3, Level =   3.
 Bounds ( 1.5708E+00, 2.3562E+00).
 Integral  2 approximation :  1.0922E-01.
 Integral  2 error estimate:  7.9151E-10.

 Segment   5.
 Sid =   3, Parent =   3, Level =   3.
 Bounds ( 2.3562E+00, 3.1416E+00).
 Integral  2 approximation : -1.0329E-01.
 Integral  2 error estimate:  1.6413E-09.

 Segment   6.
 Sid =   4, Parent =   2, Level =   3.
 Bounds ( 0.0000E+00, 7.8540E-01).
 Integral  2 approximation :  1.2343E-02.
 Integral  2 error estimate:  5.2456E-11.

 Segment   7.
 Sid =   4, Parent =   2, Level =   3.
 Bounds ( 7.8540E-01, 1.5708E+00).
 Integral  2 approximation : -1.0365E-02.
 Integral  2 error estimate:  1.7467E-10.