evaluation_compare ( 314.15 )

evaluation_compare:
  Compare methods of polynomial evaluation.

  De Boor, Exercise 2.1-1, page 37: Evaluate the cubic
  polynomial p(x)=(x-99 pi)(x-100 pi)(x-101 pi) at
  x=314.15.  Then use nested multiplication to obtain p(x)
  in power form, and evaluate the power form at x=314.15
  and compare!

  Do calculations in double precision (the default).

  Power form, term-by-term evaluation =   0.0914446339011192
  Power form, nested evaluation       =   0.0914446376264095
  Factor form, product evaluation     =   0.0914446323581178
  Power form, polyval evaluation      =   0.0914446376264095

  Repeat, in single precision.

  Power form, term-by-term evaluation =   1.9473682641983032
  Power form, nested evaluation       =   2.0000000000000000
  Factor form, product evaluation     =   0.0914446264505386
  Power form, polyval evaluation      =   2.0000000000000000
exit