exp_eps: Verify Zero Order Forward Sweep
Keywords: exp_eps: verify zero order forward sweep exp_eps

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exp_eps: Verify Zero Order Forward Sweep
`

    # include <cmath>                // for fabs function
    bool exp_eps_for0(double *v0)    // double v0[8]
    {    bool  ok = true;
         double x = .5;

         v0[1] = x;                                  // abs_x = x;
         ok  &= std::fabs( v0[1] - 0.5) < 1e-10;

         v0[2] = 1. * v0[1];                         // temp = term * abs_x;
         ok  &= std::fabs( v0[2] - 0.5) < 1e-10;

         v0[3] = v0[2] / 1.;                         // term = temp / Type(k);
         ok  &= std::fabs( v0[3] - 0.5) < 1e-10;

         v0[4] = 1. + v0[3];                         // sum = sum + term;
         ok  &= std::fabs( v0[4] - 1.5) < 1e-10;

         v0[5] = v0[3] * v0[1];                      // temp = term * abs_x;
         ok  &= std::fabs( v0[5] - 0.25) < 1e-10;

         v0[6] = v0[5] / 2.;                         // term = temp / Type(k);
         ok  &= std::fabs( v0[6] - 0.125) < 1e-10;

         v0[7] = v0[4] + v0[6];                      // sum = sum + term;
         ok  &= std::fabs( v0[7] - 1.625) < 1e-10;

         return ok;
    }
    bool exp_eps_for0(void)
    {    double v0[8];
         return exp_eps_for0(v0);
    }

`

Input File: introduction/exp_apx/exp_eps_for0.cpp