NAG Library Manual, Mark 30
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NAG AD Library Introduction
Example description

E02BC_P0W_F C++ Header Example Program

        x             Spline    1st deriv   2nd deriv   3rd deriv
 0.0000e+00   Left  1.0000e+01  6.0000e+00 -1.0000e+01  1.0667e+01
 0.0000e+00  Right  1.0000e+01  6.0000e+00 -1.0000e+01  1.0667e+01

 1.0000e+00   Left  1.2778e+01  1.3333e+00  6.6667e-01  1.0667e+01
 1.0000e+00  Right  1.2778e+01  1.3333e+00  6.6667e-01  3.9167e+00

 2.0000e+00   Left  1.5097e+01  3.9583e+00  4.5833e+00  3.9167e+00
 2.0000e+00  Right  1.5097e+01  3.9583e+00  4.5833e+00  3.9167e+00

 3.0000e+00   Left  2.2000e+01  1.0500e+01  8.5000e+00  3.9167e+00
 3.0000e+00  Right  2.2000e+01  1.2000e+01 -3.6000e+01  3.6000e+01

 4.0000e+00   Left  2.2000e+01 -6.0000e+00  0.0000e+00  3.6000e+01
 4.0000e+00  Right  2.2000e+01 -6.0000e+00  0.0000e+00  1.5000e+00

 5.0000e+00   Left  1.6250e+01 -5.2500e+00  1.5000e+00  1.5000e+00
 5.0000e+00  Right  1.6250e+01 -5.2500e+00  1.5000e+00  1.5000e+00