mixedInvariants.hh

/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
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/*   This file is part of the C++-library RFFGen.                              */
/*   Copyright 2015 Lars Lubkoll                                               */
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#ifndef RFFGEN_LINEAR_ALGEBRA_MIXED_INVARIANTS_HH
#define RFFGEN_LINEAR_ALGEBRA_MIXED_INVARIANTS_HH

#include "../MathematicalOperations/chain.hh"
#include "../MathematicalOperations/product.hh"
#include "../MathematicalOperations/squared.hh"
#include "../constant.hh"
#include "../identity.hh"
#include "principalInvariants.hh"
#include "shiftedInvariant.hh"

namespace RFFGen
{

  namespace LinearAlgebra
  {
    template <class Matrix>
    using FirstMixedInvariant  = MathematicalOperations::Chain< FirstPrincipalInvariant<Matrix> , MathematicalOperations::Product< Identity<Matrix> , Constant<Matrix> > >;

    template <class Matrix>
    using SecondMixedInvariant = MathematicalOperations::Chain< FirstPrincipalInvariant<Matrix> , MathematicalOperations::Product< MathematicalOperations::Squared<Identity<Matrix> >  , Constant<Matrix> > >;

    template <class Matrix>
    using ThirdMixedInvariant  = MathematicalOperations::Chain< FirstPrincipalInvariant<Matrix> , MathematicalOperations::Product< Identity<Matrix> , MathematicalOperations::Squared< Constant<Matrix> > > >;

    template <class Matrix>
    using ShiftedFirstMixedInvariant  = ShiftedInvariant< FirstMixedInvariant<Matrix>  , 1 >;

    template <class Matrix>
    using ShiftedSecondMixedInvariant = ShiftedInvariant< SecondMixedInvariant<Matrix> , 1 >;

    template <class Matrix>
    using ShiftedThirdMixedInvariant = ShiftedInvariant< ThirdMixedInvariant<Matrix>   , 1 >;
  }
}

#endif // RFFGEN_LINEAR_ALGEBRA_MIXED_INVARIANTS_HH