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    • Guillaume Melquiond's avatar
    • Guillaume Melquiond's avatar
    • Guillaume Melquiond's avatar
      Add a new transformation that instantiates the axioms marked with the · 4d7dd217
      Guillaume Melquiond authored
      meta "instantiate : auto" on as many terms as possible.
      
      The transformation is rather naive, since it doesn't look for term
      candidates under quantifiers, if-then-else, let-in, and so on. So it can
      only appear late in the transformation pipe.
      
      It is only enabled for Gappa and its target axioms are the ones that state
      that any floating-point value is bounded. It was the last transformation
      from Why2 still missing in Why3.
      
      Thanks to this transformation, Gappa is now able to prove all the safety
      obligations from the following code, including the ones about division and
      downcast, which is definitely frightening.
      
      /*@ assigns \nothing;
        @ ensures \result == \abs(x);
        @*/
      extern double fabs(double x);
      
      /*@ requires \valid(AB_Ptr) && \valid(CD_Ptr);
        @ assigns *AB_Ptr, *CD_Ptr;
        @ ensures \abs(*AB_Ptr) <= 6.111111e-2;
        @ ensures \abs(*CD_Ptr) <= 6.111111e-2;
        @ */
      void limitValue(float *AB_Ptr, float *CD_Ptr)
      {
         double Fabs_AB, Fabs_CD;
         double max;
      
         Fabs_AB = fabs (*AB_Ptr);
         Fabs_CD = fabs (*CD_Ptr);
      
         max = Fabs_AB;
         if (Fabs_CD > Fabs_AB)  max = Fabs_CD;
      
         if ( max > 6.111111e-2)
         {
            *AB_Ptr = (float) (((*AB_Ptr) * 6.111111e-2) / max);
            *CD_Ptr = (float) (((*CD_Ptr) * 6.111111e-2) / max);
         }
      }
      4d7dd217