TimeStep

double t = 0.0;
    const double dt = 0.01;

    double currentTime = hires_time_in_seconds();
    double accumulator = 0.0;

    State previous;
    State current;

    while ( !quit )
    {
         double newTime = time();
         double frameTime = newTime - currentTime;
         if ( frameTime > 0.25 )
              frameTime = 0.25;   // note: max frame time to avoid spiral of death
         currentTime = newTime;

         accumulator += frameTime;

         while ( accumulator >= dt )
         {
              previousState = currentState;
              integrate( currentState, t, dt );
              t += dt;
              accumulator -= dt;
         }

         const double alpha = accumulator / dt;

         State state = currentState*alpha + previousState * ( 1.0 - alpha );

         render( state );
    }