/usr/include/deal.II/base/tensor_deprecated.h is in libdeal.ii-dev 8.4.2-2+b1.
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//
// Copyright (C) 1998 - 2016 by the deal.II authors
//
// This file is part of the deal.II library.
//
// The deal.II library is free software; you can use it, redistribute
// it, and/or modify it under the terms of the GNU Lesser General
// Public License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
// The full text of the license can be found in the file LICENSE at
// the top level of the deal.II distribution.
//
// ---------------------------------------------------------------------
#ifndef dealii__tensor_deprecated_h
#define dealii__tensor_deprecated_h
#include <deal.II/base/tensor.h>
/* --------- Deprecated non-member functions operating on tensors. ---------- */
DEAL_II_NAMESPACE_OPEN
/**
* @name Deprecated Tensor operations
*/
//@{
/**
* Exception.
*
* @deprecated
*/
DeclException1 (ExcInvalidTensorContractionIndex,
int,
<< "You have requested contraction of tensors over index "
<< arg1
<< ", but this is not possible for tensors of the current type.");
/**
* Double contract two tensors of rank 2, thus computing the Frobenius inner
* product <tt>sum<sub>i,j</sub> src1[i][j]*src2[i][j]</tt>.
*
* @deprecated Use the double_contract() function that takes indices as
* template arguments and returns its result instead.
* @relates Tensor
*/
template <int dim, typename Number>
inline
Number double_contract (const Tensor<2, dim, Number> &src1,
const Tensor<2, dim, Number> &src2) DEAL_II_DEPRECATED;
/**
* Contract the last two indices of <tt>src1</tt> with the two indices
* <tt>src2</tt>, creating a rank-2 tensor. This is the matrix-vector product
* analog operation between tensors of rank 4 and rank 2.
*
* @deprecated Use the double_contract() function that takes indices as
* template arguments and returns its result instead.
* @relates Tensor
*/
template <int dim, typename Number>
inline
void double_contract (Tensor<2,dim,Number> &dest,
const Tensor<4,dim,Number> &src1,
const Tensor<2,dim,Number> &src2) DEAL_II_DEPRECATED;
/**
* Contract a tensor of rank 2 with a tensor of rank 2. The contraction is
* performed over index <tt>index1</tt> of the first tensor, and
* <tt>index2</tt> of the second tensor. Note that the number of the index is
* counted from 1 on, not from zero as usual.
*
* @deprecated Use the contract() function that takes indices as template
* arguments and returns its result instead.
* @relates Tensor
*/
template <int dim, typename Number>
inline
void contract (Tensor<2,dim,Number> &dest,
const Tensor<2,dim,Number> &src1,
const unsigned int index1,
const Tensor<2,dim,Number> &src2,
const unsigned int index3) DEAL_II_DEPRECATED;
/**
* Contract a tensor of rank 3 with a tensor of rank 1. The contraction is
* performed over index <tt>index1</tt> of the first tensor. Note that the
* number of the index is counted from 1 on, not from zero as usual.
*
* @deprecated Use the contract() function that takes indices as template
* arguments and returns its result instead.
* @relates Tensor
*/
template <int dim, typename Number>
inline
void contract (Tensor<2,dim,Number> &dest,
const Tensor<3,dim,Number> &src1,
const unsigned int index1,
const Tensor<1,dim,Number> &src2) DEAL_II_DEPRECATED;
/**
* Contract a tensor of rank 3 with a tensor of rank 2. The contraction is
* performed over index <tt>index1</tt> of the first tensor, and
* <tt>index2</tt> of the second tensor. Note that the number of the index is
* counted from 1 on, not from zero as usual.
*
* @deprecated Use the contract() function that takes indices as template
* arguments and returns its result instead.
* @relates Tensor
*/
template <int dim, typename Number>
inline
void contract (Tensor<3,dim,Number> &dest,
const Tensor<3,dim,Number> &src1,
const unsigned int index1,
const Tensor<2,dim,Number> &src2,
const unsigned int index2) DEAL_II_DEPRECATED;
/**
* Single contraction for tensors: contract the last index of a tensor @p src1
* of rank @p rank_1 with the first index of a tensor @p src2 of rank @p
* rank_2.
*
* @deprecated Use operator* instead. It denotes a single contraction.
* @relates Tensor
*/
template <int rank_1, int rank_2, int dim, typename Number>
inline
void contract (Tensor<rank_1 + rank_2 - 2, dim, Number> &dest,
const Tensor<rank_1 ,dim, Number> &src1,
const Tensor<rank_2 ,dim, Number> &src2) DEAL_II_DEPRECATED;
/**
* Contract a tensor of rank 1 with a tensor of rank 1 and return the result.
*
* @deprecated Use operator* instead. It denotes a single contraction.
* @relates Tensor
*/
template <int dim, typename Number, typename OtherNumber>
inline
typename ProductType<Number,OtherNumber>::type
contract (const Tensor<1,dim,Number> &src1,
const Tensor<1,dim,OtherNumber> &src2) DEAL_II_DEPRECATED;
/**
* The cross product of one vector in 2d. This is just a rotation by 90
* degrees.
*
* @deprecated Use the function cross_product_2d() that returns the value.
* @relates Tensor
*/
template <int dim, typename Number>
inline
void
cross_product (Tensor<1,dim,Number> &dst,
const Tensor<1,dim,Number> &src) DEAL_II_DEPRECATED;
/**
* The cross product of 2 vectors in 3d.
*
* @deprecated Use the function cross_product_3d() that returns the value.
* @relates Tensor
*/
template <int dim, typename Number>
inline
void
cross_product (Tensor<1,dim,Number> &dst,
const Tensor<1,dim,Number> &src1,
const Tensor<1,dim,Number> &src2) DEAL_II_DEPRECATED;
/**
* Form the outer product of two tensors.
*
* @deprecated Use the generic version that returns its result instead.
* @relates Tensor
*/
template <int rank_1, int rank_2, int dim, typename Number>
inline
void outer_product(Tensor<rank_1 + rank_2, dim, Number> &dst,
const Tensor<rank_1, dim, Number> &src1,
const Tensor<rank_2, dim, Number> &src2) DEAL_II_DEPRECATED;
/**
* Multiply a Tensor<1,dim,Number> with a Number.
*
* @deprecated Use operator* instead.
* @relates Tensor
*/
template <int dim, typename Number>
inline
void outer_product (Tensor<1,dim,Number> &dst,
const Number src1,
const Tensor<1,dim,Number> &src2) DEAL_II_DEPRECATED;
/**
* Multiply a Tensor<1,dim,Number> with a Number.
*
* @deprecated Use operator* instead.
* @relates Tensor
*/
template <int dim, typename Number>
inline
void outer_product (Tensor<1,dim,Number> &dst,
const Tensor<1,dim,Number> src1,
const Number src2) DEAL_II_DEPRECATED;
/**
* @deprecated Do not use this function, evaluate the value manually.
* @relates Tensor
*/
template <int rank, typename Number>
inline
Number determinant (const Tensor<rank,1,Number> &t) DEAL_II_DEPRECATED;
/**
* @deprecated Do not use this function, evaluate the value manually.
* @relates Tensor
*/
template <typename Number>
inline
Number determinant (const Tensor<1,1,Number> &t) DEAL_II_DEPRECATED;
//@}
/* ----------------------------- Definitions: ------------------------------- */
template <int dim, typename Number>
inline
Number double_contract (const Tensor<2, dim, Number> &src1,
const Tensor<2, dim, Number> &src2)
{
Number res = 0.;
for (unsigned int i=0; i<dim; ++i)
res += src1[i] * src2[i];
return res;
}
template <int dim, typename Number>
inline
void double_contract (Tensor<2,dim,Number> &dest,
const Tensor<4,dim,Number> &src1,
const Tensor<2,dim,Number> &src2)
{
dest.clear ();
for (unsigned int i=0; i<dim; ++i)
for (unsigned int j=0; j<dim; ++j)
for (unsigned int k=0; k<dim; ++k)
for (unsigned int l=0; l<dim; ++l)
dest[i][j] += src1[i][j][k][l] * src2[k][l];
}
template <int dim, typename Number>
inline
void contract (Tensor<2,dim,Number> &dest,
const Tensor<2,dim,Number> &src1, const unsigned int index1,
const Tensor<2,dim,Number> &src2, const unsigned int index2)
{
dest.clear ();
switch (index1)
{
case 1:
switch (index2)
{
case 1:
for (unsigned int i=0; i<dim; ++i)
for (unsigned int j=0; j<dim; ++j)
for (unsigned int k=0; k<dim; ++k)
dest[i][j] += src1[k][i] * src2[k][j];
break;
case 2:
for (unsigned int i=0; i<dim; ++i)
for (unsigned int j=0; j<dim; ++j)
for (unsigned int k=0; k<dim; ++k)
dest[i][j] += src1[k][i] * src2[j][k];
break;
default:
Assert (false, (ExcInvalidTensorContractionIndex (index2)));
};
break;
case 2:
switch (index2)
{
case 1:
for (unsigned int i=0; i<dim; ++i)
for (unsigned int j=0; j<dim; ++j)
for (unsigned int k=0; k<dim; ++k)
dest[i][j] += src1[i][k] * src2[k][j];
break;
case 2:
for (unsigned int i=0; i<dim; ++i)
for (unsigned int j=0; j<dim; ++j)
for (unsigned int k=0; k<dim; ++k)
dest[i][j] += src1[i][k] * src2[j][k];
break;
default:
Assert (false, (ExcInvalidTensorContractionIndex (index2)));
};
break;
default:
Assert (false, (ExcInvalidTensorContractionIndex (index1)));
};
}
template <int dim, typename Number>
inline
void contract (Tensor<2,dim,Number> &dest,
const Tensor<3,dim,Number> &src1, const unsigned int index1,
const Tensor<1,dim,Number> &src2)
{
dest.clear ();
switch (index1)
{
case 1:
for (unsigned int i=0; i<dim; ++i)
for (unsigned int j=0; j<dim; ++j)
for (unsigned int k=0; k<dim; ++k)
dest[i][j] += src1[k][i][j] * src2[k];
break;
case 2:
for (unsigned int i=0; i<dim; ++i)
for (unsigned int j=0; j<dim; ++j)
for (unsigned int k=0; k<dim; ++k)
dest[i][j] += src1[i][k][j] * src2[k];
break;
case 3:
for (unsigned int i=0; i<dim; ++i)
for (unsigned int j=0; j<dim; ++j)
for (unsigned int k=0; k<dim; ++k)
dest[i][j] += src1[i][j][k] * src2[k];
break;
default:
Assert (false, (ExcInvalidTensorContractionIndex (index1)));
};
}
template <int dim, typename Number>
inline
void contract (Tensor<3,dim,Number> &dest,
const Tensor<3,dim,Number> &src1, const unsigned int index1,
const Tensor<2,dim,Number> &src2, const unsigned int index2)
{
dest.clear ();
switch (index1)
{
case 1:
switch (index2)
{
case 1:
for (unsigned int i=0; i<dim; ++i)
for (unsigned int j=0; j<dim; ++j)
for (unsigned int k=0; k<dim; ++k)
for (unsigned int l=0; l<dim; ++l)
dest[i][j][k] += src1[l][i][j] * src2[l][k];
break;
case 2:
for (unsigned int i=0; i<dim; ++i)
for (unsigned int j=0; j<dim; ++j)
for (unsigned int k=0; k<dim; ++k)
for (unsigned int l=0; l<dim; ++l)
dest[i][j][k] += src1[l][i][j] * src2[k][l];
break;
default:
Assert (false, (ExcInvalidTensorContractionIndex (index2)));
}
break;
case 2:
switch (index2)
{
case 1:
for (unsigned int i=0; i<dim; ++i)
for (unsigned int j=0; j<dim; ++j)
for (unsigned int k=0; k<dim; ++k)
for (unsigned int l=0; l<dim; ++l)
dest[i][j][k] += src1[i][l][j] * src2[l][k];
break;
case 2:
for (unsigned int i=0; i<dim; ++i)
for (unsigned int j=0; j<dim; ++j)
for (unsigned int k=0; k<dim; ++k)
for (unsigned int l=0; l<dim; ++l)
dest[i][j][k] += src1[i][l][j] * src2[k][l];
break;
default:
Assert (false, (ExcInvalidTensorContractionIndex (index2)));
}
break;
case 3:
switch (index2)
{
case 1:
for (unsigned int i=0; i<dim; ++i)
for (unsigned int j=0; j<dim; ++j)
for (unsigned int k=0; k<dim; ++k)
for (unsigned int l=0; l<dim; ++l)
dest[i][j][k] += src1[i][j][l] * src2[l][k];
break;
case 2:
for (unsigned int i=0; i<dim; ++i)
for (unsigned int j=0; j<dim; ++j)
for (unsigned int k=0; k<dim; ++k)
for (unsigned int l=0; l<dim; ++l)
dest[i][j][k] += src1[i][j][l] * src2[k][l];
break;
default:
Assert (false, (ExcInvalidTensorContractionIndex (index2)));
}
break;
default:
Assert (false, (ExcInvalidTensorContractionIndex (index1)));
}
}
template <int rank_1, int rank_2, int dim, typename Number>
inline
void contract (Tensor<rank_1 + rank_2 - 2, dim, Number> &dest,
const Tensor<rank_1 ,dim, Number> &src1,
const Tensor<rank_2 ,dim, Number> &src2)
{
TensorAccessors::internal::ReorderedIndexView<0, rank_2, const Tensor<rank_2, dim, Number> >
reordered = TensorAccessors::reordered_index_view<0, rank_2>(src2);
TensorAccessors::contract<1, rank_1, rank_2, dim>(dest, src1, reordered);
}
template <int dim, typename Number, typename OtherNumber>
inline
typename ProductType<Number,OtherNumber>::type
contract (const Tensor<1,dim,Number> &src1,
const Tensor<1,dim,OtherNumber> &src2)
{
typename ProductType<Number,OtherNumber>::type res
= typename ProductType<Number,OtherNumber>::type();
for (unsigned int i=0; i<dim; ++i)
res += src1[i] * src2[i];
return res;
}
template <int dim, typename Number>
inline
void
cross_product (Tensor<1,dim,Number> &dst,
const Tensor<1,dim,Number> &src)
{
dst = cross_product_2d(src);
}
template <int dim, typename Number>
inline
void
cross_product (Tensor<1,dim,Number> &dst,
const Tensor<1,dim,Number> &src1,
const Tensor<1,dim,Number> &src2)
{
dst = cross_product_3d(src1, src2);
}
template <int rank_1, int rank_2, int dim, typename Number>
inline
void outer_product(Tensor<rank_1 + rank_2, dim, Number> &dst,
const Tensor<rank_1, dim, Number> &src1,
const Tensor<rank_2, dim, Number> &src2)
{
TensorAccessors::contract<0, rank_1, rank_2, dim>(dst, src1, src2);
}
template <int dim, typename Number>
inline
void outer_product (Tensor<1,dim,Number> &dst,
const Number src1,
const Tensor<1,dim,Number> &src2)
{
for (unsigned int i=0; i<dim; ++i)
dst[i] = src1 * src2[i];
}
template <int dim, typename Number>
inline
void outer_product (Tensor<1,dim,Number> &dst,
const Tensor<1,dim,Number> src1,
const Number src2)
{
for (unsigned int i=0; i<dim; ++i)
dst[i] = src1[i] * src2;
}
template <int rank, typename Number>
inline
Number determinant (const Tensor<rank,1,Number> &t)
{
return determinant(t[0]);
}
template <typename Number>
inline
Number determinant (const Tensor<1,1,Number> &t)
{
return t[0];
}
DEAL_II_NAMESPACE_CLOSE
#endif
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