exp_eps: Verify Second Order Forward Sweep
Keywords: exp_eps: verify second order forward sweep first exp_2

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exp_eps: Verify Second Order Forward Sweep
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    # include <cmath>                     // for fabs function
    extern bool exp_eps_for0(double *v0); // computes zero order forward sweep
    extern bool exp_eps_for1(double *v1); // computes first order forward sweep
    bool exp_eps_for2(void)
    {    bool ok = true;
         double v0[8], v1[8], v2[8];

         // set the value of v0[j], v1[j] for j = 1 , ... , 7
         ok &= exp_eps_for0(v0);
         ok &= exp_eps_for1(v1);

         v2[1] = 0.;                                      // v1 = x
         ok    &= std::fabs( v2[1] - 0. ) <= 1e-10;

         v2[2] = 1. * v2[1];                              // v2 = 1 * v1
         ok    &= std::fabs( v2[2] - 0. ) <= 1e-10;

         v2[3] = v2[2] / 1.;                              // v3 = v2 / 1
         ok    &= std::fabs( v2[3] - 0. ) <= 1e-10;

         v2[4] = v2[3];                                   // v4 = 1 + v3
         ok    &= std::fabs( v2[4] - 0. ) <= 1e-10;

         v2[5] = v2[3] * v0[1] + 2. * v1[3] * v1[1]       // v5 = v3 * v1
               + v0[3] * v2[1];
         ok    &= std::fabs( v2[5] - 2. ) <= 1e-10;

         v2[6] = v2[5] / 2.;                              // v6 = v5 / 2
         ok    &= std::fabs( v2[6] - 1. ) <= 1e-10;

         v2[7] = v2[4] + v2[6];                           // v7 = v4 + v6
         ok    &= std::fabs( v2[7] - 1. ) <= 1e-10;

         return ok;
    }

`

Input File: introduction/exp_apx/exp_eps_for2.cpp