R2Base.h

// Copyright 2024, UChicago Argonne, LLC
// All Rights Reserved
// Software Name: NEML2 -- the New Engineering material Model Library, version 2
// By: Argonne National Laboratory
// OPEN SOURCE LICENSE (MIT)
//
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// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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#pragma once
 
#include "neml2/tensors/PrimitiveTensor.h"
 
namespace neml2
{
class Scalar;
class Vec;
class SR2;
class R3;
class R4;
class Rot;
class WR2;
class R2;
 
template <class>
class VecBase;
 
template <class Derived>
class R2Base : public PrimitiveTensor<Derived, 3, 3>
{
public:
  using PrimitiveTensor<Derived, 3, 3>::PrimitiveTensor;
 
  explicit operator SR2() const;
 
  [[nodiscard]] static Derived fill(const CScalar & a,
                                    const TensorOptions & options = default_tensor_options());
  [[nodiscard]] static Derived fill(const Scalar & a);
  [[nodiscard]] static Derived fill(const CScalar & a11,
                                    const CScalar & a22,
                                    const CScalar & a33,
                                    const TensorOptions & options = default_tensor_options());
  [[nodiscard]] static Derived fill(const Scalar & a11, const Scalar & a22, const Scalar & a33);
  [[nodiscard]] static Derived fill(const CScalar & a11,
                                    const CScalar & a22,
                                    const CScalar & a33,
                                    const CScalar & a23,
                                    const CScalar & a13,
                                    const CScalar & a12,
                                    const TensorOptions & options = default_tensor_options());
  [[nodiscard]] static Derived fill(const Scalar & a11,
                                    const Scalar & a22,
                                    const Scalar & a33,
                                    const Scalar & a23,
                                    const Scalar & a13,
                                    const Scalar & a12);
  [[nodiscard]] static Derived fill(const CScalar & a11,
                                    const CScalar & a12,
                                    const CScalar & a13,
                                    const CScalar & a21,
                                    const CScalar & a22,
                                    const CScalar & a23,
                                    const CScalar & a31,
                                    const CScalar & a32,
                                    const CScalar & a33,
                                    const TensorOptions & options = default_tensor_options());
  [[nodiscard]] static Derived fill(const Scalar & a11,
                                    const Scalar & a12,
                                    const Scalar & a13,
                                    const Scalar & a21,
                                    const Scalar & a22,
                                    const Scalar & a23,
                                    const Scalar & a31,
                                    const Scalar & a32,
                                    const Scalar & a33);
  [[nodiscard]] static Derived skew(const Vec & v);
  [[nodiscard]] static Derived identity(const TensorOptions & options = default_tensor_options());
 
  Derived rotate(const Rot & r) const;
 
  Derived rotate(const R2 & R) const;
 
  R3 drotate(const Rot & r) const;
 
  R4 drotate(const R2 & R) const;
 
  Scalar operator()(Size i, Size j) const;
 
  Vec row(Size i) const;
 
  Vec col(Size i) const;
 
  Scalar det() const;
 
  Scalar inner(const R2 & other) const;
 
  R4 outer(const R2 & other) const;
 
  Derived inverse() const;
 
  Derived transpose() const;
};
 
// TODO: Fix the return type
template <class Derived1,
          class Derived2,
          typename = typename std::enable_if_t<std::is_base_of_v<R2Base<Derived1>, Derived1>>,
          typename = typename std::enable_if_t<std::is_base_of_v<VecBase<Derived2>, Derived2>>>
Vec operator*(const Derived1 & A, const Derived2 & b);
 
// TODO: Fix the return type
template <class Derived1,
          class Derived2,
          typename = typename std::enable_if_t<std::is_base_of_v<R2Base<Derived1>, Derived1>>,
          typename = typename std::enable_if_t<std::is_base_of_v<R2Base<Derived2>, Derived2>>>
R2 operator*(const Derived1 & A, const Derived2 & B);
 
} // namespace neml2