using System;

namespace HeuristicLab.Problems.DataAnalysis.Symbolic {
  public interface IAlgebraicType<T> {
    T Zero { get; } // Zero and One must create new objects
    T One { get; }

    T AssignAbs(T a); // set this to assign abs(a)
    T Assign(T a); // assign this to same value as a (copy!)
    T AssignNeg(T a); // set this to negative(a)
    T AssignInv(T a); // set this to inv(a);
    T Scale(double s); // scale this with s
    T Add(T a); // add a to this
    T Sub(T a); // subtract a from this
    T Mul(T a); // multiply this with a
    T Div(T a); // divide this by a
    T AssignLog(T a); // set this to log a
    T AssignExp(T a); // set this to exp(a)
    T AssignSin(T a); // set this to sin(a)
    T AssignCos(T a); // set this to cos(a)
    T AssignTanh(T a); // set this to tanh(a)
    T AssignIntPower(T a, int p);
    T AssignIntRoot(T a, int r);
    T AssignSgn(T a); // set this to sign(a)
    //T AssignMin(T other); // set this min(this, other)
    //T AssignMax(T other); // set this max(this, other)
    T Clone();
  }

  public interface IComparableAlgebraicType<T> : IAlgebraicType<T>, IComparable<T> {

  }
}