FTensor Namespace Reference

Tensors class implemented by Walter Landry. More...

Classes
class	Christof
class	Christof< PackPtr< T *, I >, Tensor_Dim0, Tensor_Dim12 >
class	Christof< T *, Tensor_Dim0, Tensor_Dim12 >
class	Christof_constructor
class	Christof_constructor< T, 2, 2 >
class	Christof_constructor< T, 3, 3 >
class	Christof_constructor< T, 3, 4 >
class	Christof_constructor< T, 4, 4 >
class	Christof_Expr
class	Christof_number_0
class	Christof_numeral_0
class	Christof_numeral_1
class	conj_Tensor2
class	d_boundary_Tensor0
class	d_boundary_Tensor2_symmetric
class	d_one_sided_Tensor1
class	d_one_sided_Tensor2_symmetric
class	dd_boundary_Tensor0
class	dd_boundary_Tensor2_symmetric
class	Ddg
class	Ddg< PackPtr< T *, I >, Tensor_Dim01, Tensor_Dim23 >
class	Ddg< T *, Tensor_Dim01, Tensor_Dim23 >
class	Ddg_and_Ddg0213
class	Ddg_and_Ddg0321
class	Ddg_and_Tensor2_symmetric
class	Ddg_and_Tensor2_symmetric< A, B, T, U, Dim01, Dim23, Dim01, i, j, k, l, i, j >
class	Ddg_and_Tensor2_symmetric< A, B, T, U, Dim01, Dim23, Dim23, i, j, k, l, k, l >
class	Ddg_carat_Ddg_13
class	Ddg_carat_Tensor2_symmetric_13
class	Ddg_Expr
class	Ddg_Expr< Ddg< A, Tensor_Dim01, Tensor_Dim23 >, T, Dim01, Dim23, i, j, k, l >
class	Ddg_minus_Ddg
class	Ddg_mod_Ddg
class	Ddg_mod_Tensor2_symmetric
class	Ddg_mod_Tensor2_symmetric< A, B, T, U, Dim01, Dim23, Dim01, i, j, k, l, i, j >
class	Ddg_mod_Tensor2_symmetric< A, B, T, U, Dim01, Dim23, Dim23, i, j, k, l, k, l >
class	Ddg_number_0
class	Ddg_number_01
class	Ddg_number_rhs_0
class	Ddg_number_rhs_01
class	Ddg_numeral_0
class	Ddg_numeral_01
class	Ddg_numeral_02
class	Ddg_numeral_123
class	Ddg_numeral_23
class	Ddg_or_Ddg
class	Ddg_or_Tensor2_symmetric_13
class	Ddg_plus_Ddg
class	Ddg_plus_Ddg< A, B, T, U, Dim01, Dim23, Dim01, Dim23, i, j, k, l, i, j, k, l >
class	Ddg_plus_Ddg< A, B, T, U, Dim01, Dim23, Dim23, Dim01, i, j, k, l, k, l, i, j >
class	Ddg_times_Ddg_0101
class	Ddg_times_Ddg_0123
class	Ddg_times_Ddg_2301
class	Ddg_times_Ddg_2323
class	Ddg_times_Dg_01
class	Ddg_times_Dg_23
class	Ddg_times_Tensor1_0
class	Ddg_times_Tensor1_1
class	Ddg_times_Tensor1_2
class	Ddg_times_Tensor1_3
class	Ddg_times_Tensor2_01
class	Ddg_times_Tensor2_0_0
class	Ddg_times_Tensor2_0_1
class	Ddg_times_Tensor2_13
class	Ddg_times_Tensor2_1_0
class	Ddg_times_Tensor2_1_1
class	Ddg_times_Tensor2_23
class	Ddg_times_Tensor2_2_0
class	Ddg_times_Tensor2_2_1
class	Ddg_times_Tensor2_32
class	Ddg_times_Tensor2_3_0
class	Ddg_times_Tensor2_3_1
class	Ddg_times_Tensor2_symmetric_01
class	Ddg_times_Tensor2_symmetric_13
class	Ddg_times_Tensor2_symmetric_23
class	Ddg_times_Tensor4_2301
class	ddTensor0
class	ddTensor1
class	ddTensor2_symmetric
class	Dg
class	Dg< PackPtr< T *, I >, Tensor_Dim01, Tensor_Dim2 >
class	Dg< T *, Tensor_Dim01, Tensor_Dim2 >
class	Dg_and_Dg_02
class	Dg_and_Dg_12
class	Dg_and_Tensor1
class	Dg_and_Tensor2_symmetric
class	Dg_constructor
class	Dg_constructor< T, 2, 2 >
class	Dg_constructor< T, 3, 3 >
class	Dg_constructor< T, 4, 3 >
class	Dg_constructor< T, 4, 4 >
class	Dg_divide_generic
class	Dg_Expr
class	Dg_Expr< Christof< A, Tensor_Dim0, Tensor_Dim12 >, T, Dim12, Dim0, i, j, k >
class	Dg_Expr< const Christof< A, Tensor_Dim0, Tensor_Dim12 >, T, Dim12, Dim0, i, j, k >
class	Dg_Expr< Ddg_number_rhs_0< A, T, N0 >, T, Dim23, Dim1, i, j, k >
class	Dg_Expr< Dg< A, Tensor_Dim01, Tensor_Dim2 >, T, Dim01, Dim2, i, j, k >
class	Dg_minus_Dg
class	Dg_minus_Dg_02
class	Dg_number_0
class	Dg_number_01
class	Dg_number_12
class	Dg_number_2
class	Dg_number_rhs_0
class	Dg_number_rhs_01
class	Dg_number_rhs_12
class	Dg_number_rhs_2
class	Dg_numeral_0
class	Dg_numeral_01
class	Dg_numeral_12
class	Dg_numeral_2
class	Dg_or_Dg_02
class	Dg_or_Dg_12
class	Dg_plus_Dg
class	Dg_plus_Dg_10
class	Dg_plus_Dg_210
class	Dg_times_Dg_01_01
class	Dg_times_Dg_12_01
class	Dg_times_Dg_12_20
class	Dg_times_Dg_2
class	Dg_times_generic
class	Dg_times_Tensor1_0
class	Dg_times_Tensor1_1
class	Dg_times_Tensor1_2
class	Dg_times_Tensor2_0
class	Dg_times_Tensor2_01
class	Dg_times_Tensor2_02
class	Dg_times_Tensor2_1
class	Dg_times_Tensor2_10
class	Dg_times_Tensor2_12
class	Dg_times_Tensor2_1_0
class	Dg_times_Tensor2_1_1
class	Dg_times_Tensor2_20
class	Dg_times_Tensor2_21
class	Dg_times_Tensor2_symmetric_0
class	Dg_times_Tensor2_symmetric_01
class	Dg_times_Tensor2_symmetric_02
class	Dg_times_Tensor2_symmetric_1
class	Dg_times_Tensor2_symmetric_10
class	Dg_times_Tensor2_symmetric_12
class	Dg_times_Tensor2_symmetric_1_0
class	Dg_times_Tensor2_symmetric_1_1
class	Dg_times_Tensor2_symmetric_20
class	Dg_times_Tensor2_symmetric_21
class	diffusion_Tensor1
class	diffusion_Tensor2_symmetric
class	dTensor0
class	dTensor1
class	dTensor2_symmetric
class	generic_minus_Tensor1
class	generic_minus_Tensor2_symmetric
class	Index
class	interpolate_Tensor1
class	interpolate_Tensor2_symmetric
class	Kronecker_Delta
	Kronecker Delta class. More...
class	Kronecker_Delta_symmetric
	Kronecker Delta class symmetric. More...
class	Levi_Civita
	Levi_Civita Classes. More...
class	minus_Ddg
class	minus_Dg
class	minus_Tensor1
class	minus_Tensor2
class	minus_Tensor2_symmetric
class	minus_Tensor3
class	Number
class	PackPtr
struct	Permutation2
struct	Permutation3
struct	Permutation4
class	promote
class	Riemann
class	Riemann< T, 3 >
class	Riemann_Expr
class	Riemann_Expr< Riemann< A, Dim >, T, Dim, i, j, k, l >
class	Riemann_minus_Riemann
class	Riemann_plus_Riemann
class	Riemann_times_Tensor1_0
class	Riemann_times_Tensor1_1
class	Riemann_times_Tensor1_2
class	Riemann_times_Tensor1_3
class	Riemann_times_Tensor2_symmetric_0
struct	Sign_of_T3dg_plus_equals_T3dg
struct	Sign_of_T3dg_plus_equals_T3dg< false >
struct	Sign_of_T3dg_plus_equals_T3dg< true >
struct	Sign_of_T4ddg_plus_equals_T4ddg
struct	Sign_of_T4ddg_plus_equals_T4ddg< false >
struct	Sign_of_T4ddg_plus_equals_T4ddg< true >
struct	T3ch_equals_T3dg_Op
struct	T3ch_equals_T3dg_Op< 0 >
struct	T3ch_equals_T3dg_Op< 1 >
struct	T3ch_equals_T3dg_Op< 2 >
class	T4Ddg_equals_generic
class	T4Ddg_times_equals_generic
class	Tensor0
class	Tensor0< PackPtr< T *, I > >
class	Tensor0< T * >
class	Tensor1
class	Tensor1< PackPtr< T *, I >, Tensor_Dim >
class	Tensor1< T *, Tensor_Dim >
class	Tensor1_and_Tensor1
class	Tensor1_carat_Tensor1
class	Tensor1_constructor
class	Tensor1_constructor< T, 1 >
class	Tensor1_constructor< T, 2 >
class	Tensor1_constructor< T, 3 >
class	Tensor1_constructor< T, 4 >
class	Tensor1_constructor< T, 6 >
class	Tensor1_divide_generic
class	Tensor1_Expr
class	Tensor1_Expr< Dg_number_rhs_01< A, T, N1, N2 >, T, Dim, i >
class	Tensor1_Expr< Dg_number_rhs_12< A, T, N1, N2 >, T, Dim, i >
class	Tensor1_Expr< Tensor1< A, Tensor_Dim >, T, Dim, i >
class	Tensor1_Expr< Tensor2_number_rhs_0< A, T, N >, T, Dim1, i >
class	Tensor1_Expr< Tensor2_number_rhs_1< A, T, N >, T, Dim1, i >
class	Tensor1_minus_generic
class	Tensor1_minus_Tensor1
class	Tensor1_or_Tensor1
class	Tensor1_plus_generic
class	Tensor1_plus_Tensor1
class	Tensor1_times_generic
class	Tensor1_times_Tensor1
class	Tensor2
class	Tensor2< PackPtr< T *, I >, Tensor_Dim0, Tensor_Dim1 >
class	Tensor2< T *, Tensor_Dim0, Tensor_Dim1 >
class	Tensor2_and_Tensor1
class	Tensor2_and_Tensor1< A, B, T, U, Dim0, Dim1, Dim0, i, j, i >
class	Tensor2_and_Tensor1< A, B, T, U, Dim0, Dim1, Dim1, i, j, j >
class	Tensor2_antisymmetric
class	Tensor2_antisymmetric_constructor
class	Tensor2_antisymmetric_constructor< T, 2 >
class	Tensor2_antisymmetric_constructor< T, 3 >
class	Tensor2_antisymmetric_constructor< T, 4 >
class	Tensor2_antisymmetric_Expr
class	Tensor2_antisymmetric_Expr< Tensor2_antisymmetric< A, Tensor_Dim >, T, Dim, i, j >
class	Tensor2_carat_Tensor2
class	Tensor2_carat_Tensor2< A, B, T, U, Dim, Dim1, Dim, Dim1, i, j, k, j >
class	Tensor2_carat_Tensor2< A, B, T, U, Dim, Dim1, Dim1, Dim, i, j, j, k >
class	Tensor2_carat_Tensor2< A, B, T, U, Dim1, Dim, Dim, Dim1, j, i, k, j >
class	Tensor2_carat_Tensor2< A, B, T, U, Dim1, Dim, Dim1, Dim, j, i, j, k >
class	Tensor2_constructor
class	Tensor2_constructor< T, 1, 2, column_major >
class	Tensor2_constructor< T, 1, 2, row_major >
class	Tensor2_constructor< T, 2, 1, column_major >
class	Tensor2_constructor< T, 2, 1, row_major >
class	Tensor2_constructor< T, 2, 2, column_major >
class	Tensor2_constructor< T, 2, 2, row_major >
class	Tensor2_constructor< T, 3, 2, column_major >
class	Tensor2_constructor< T, 3, 2, row_major >
class	Tensor2_constructor< T, 3, 3, column_major >
class	Tensor2_constructor< T, 3, 3, row_major >
class	Tensor2_constructor< T, 4, 4, column_major >
class	Tensor2_constructor< T, 4, 4, row_major >
class	Tensor2_divide_generic
class	Tensor2_Expr
class	Tensor2_Expr< Dg_number_rhs_0< A, T, N >, T, Dim0, Dim1, i, j >
class	Tensor2_Expr< Tensor2< A, Tensor_Dim0, Tensor_Dim1 >, T, Dim0, Dim1, i, j >
class	Tensor2_minus_Tensor2
class	Tensor2_minus_Tensor2< A, B, T, U, Dim0, Dim1, Dim0, Dim1, i, j, i, j >
class	Tensor2_minus_Tensor2< A, B, T, U, Dim0, Dim1, Dim1, Dim0, i, j, j, i >
class	Tensor2_minus_Tensor2_symmetric
class	Tensor2_minus_Tensor2_symmetric< A, B, T, U, Dim, Dim, Dim, i, j, i, j >
class	Tensor2_minus_Tensor2_symmetric< A, B, T, U, Dim, Dim, Dim, i, j, j, i >
class	Tensor2_number_0
class	Tensor2_number_1
class	Tensor2_number_rhs_0
class	Tensor2_number_rhs_1
class	Tensor2_numeral_0
class	Tensor2_numeral_1
class	Tensor2_or_Tensor2
class	Tensor2_or_Tensor2< A, B, T, U, Dim, Dim, Dim, Dim, i, j, i, j >
class	Tensor2_or_Tensor2< A, B, T, U, Dim, Dim, Dim, Dim, i, j, j, i >
class	Tensor2_plus_Tensor2
class	Tensor2_plus_Tensor2< A, B, T, U, Dim0, Dim1, Dim0, Dim1, i, j, i, j >
class	Tensor2_plus_Tensor2< A, B, T, U, Dim0, Dim1, Dim1, Dim0, i, j, j, i >
class	Tensor2_symmetric
class	Tensor2_symmetric< PackPtr< T *, I >, Tensor_Dim >
class	Tensor2_symmetric< T *, Tensor_Dim >
class	Tensor2_symmetric_and_Tensor2_symmetric
class	Tensor2_symmetric_and_Tensor2_symmetric< A, B, T, U, Dim, Dim, i, j, i, j >
class	Tensor2_symmetric_and_Tensor2_symmetric< A, B, T, U, Dim, Dim, i, j, j, i >
class	Tensor2_symmetric_carat_Tensor2
class	Tensor2_symmetric_carat_Tensor2< A, B, T, U, Dim, Dim, Dim, i, j, j, k >
class	Tensor2_symmetric_carat_Tensor2< A, B, T, U, Dim, Dim, Dim, i, j, k, j >
class	Tensor2_symmetric_carat_Tensor2< A, B, T, U, Dim, Dim, Dim, j, i, j, k >
class	Tensor2_symmetric_carat_Tensor2< A, B, T, U, Dim, Dim, Dim, j, i, k, j >
class	Tensor2_symmetric_carat_Tensor2_symmetric
class	Tensor2_symmetric_constructor
class	Tensor2_symmetric_constructor< T, 1 >
class	Tensor2_symmetric_constructor< T, 2 >
class	Tensor2_symmetric_constructor< T, 3 >
class	Tensor2_symmetric_constructor< T, 4 >
class	Tensor2_symmetric_divide_generic
class	Tensor2_symmetric_Expr
class	Tensor2_symmetric_Expr< Ddg_number_rhs_01< A, T, N0, N1 >, T, Dim, i, j >
class	Tensor2_symmetric_Expr< Dg_number_rhs_2< A, T, N >, T, Dim, i, j >
class	Tensor2_symmetric_Expr< Tensor2_symmetric< A, Tensor_Dim >, T, Dim, i, j >
class	Tensor2_symmetric_minus_generic
class	Tensor2_symmetric_minus_Tensor2
class	Tensor2_symmetric_minus_Tensor2< A, B, T, U, Dim, Dim, Dim, i, j, i, j >
class	Tensor2_symmetric_minus_Tensor2< A, B, T, U, Dim, Dim, Dim, i, j, j, i >
class	Tensor2_symmetric_minus_Tensor2_symmetric
class	Tensor2_symmetric_minus_Tensor2_symmetric< A, B, T, U, Dim, Dim, i, j, i, j >
class	Tensor2_symmetric_minus_Tensor2_symmetric< A, B, T, U, Dim, Dim, i, j, j, i >
class	Tensor2_symmetric_mod_Tensor2_symmetric
class	Tensor2_symmetric_mod_Tensor2_symmetric< A, B, T, U, Dim, Dim, i, j, i, j >
class	Tensor2_symmetric_mod_Tensor2_symmetric< A, B, T, U, Dim, Dim, i, j, j, i >
class	Tensor2_symmetric_plus_Tensor2
class	Tensor2_symmetric_plus_Tensor2< A, B, T, U, Dim, Dim, Dim, i, j, i, j >
class	Tensor2_symmetric_plus_Tensor2< A, B, T, U, Dim, Dim, Dim, i, j, j, i >
class	Tensor2_symmetric_plus_Tensor2_symmetric
class	Tensor2_symmetric_plus_Tensor2_symmetric< A, B, T, U, Dim, Dim, i, j, i, j >
class	Tensor2_symmetric_plus_Tensor2_symmetric< A, B, T, U, Dim, Dim, i, j, j, i >
class	Tensor2_symmetric_times_Tensor1
class	Tensor2_symmetric_times_Tensor1_0
class	Tensor2_symmetric_times_Tensor1_1
class	Tensor2_symmetric_times_Tensor2_00
class	Tensor2_symmetric_times_Tensor2_01
class	Tensor2_symmetric_times_Tensor2_10
class	Tensor2_symmetric_times_Tensor2_11
class	Tensor2_symmetric_times_Tensor2_symmetric
class	Tensor2_symmetric_times_Tensor2_symmetric_00
class	Tensor2_symmetric_times_Tensor2_symmetric_01
class	Tensor2_symmetric_times_Tensor2_symmetric_10
class	Tensor2_symmetric_times_Tensor2_symmetric_11
class	Tensor2_times_generic
class	Tensor2_times_Tensor1
class	Tensor2_times_Tensor1_single
class	Tensor2_times_Tensor2
class	Tensor2_times_Tensor2_00
class	Tensor2_times_Tensor2_01
class	Tensor2_times_Tensor2_10
class	Tensor2_times_Tensor2_11
class	Tensor3
class	Tensor3< PackPtr< T *, I >, Tensor_Dim0, Tensor_Dim1, Tensor_Dim2 >
class	Tensor3< T *, Tensor_Dim0, Tensor_Dim1, Tensor_Dim2 >
class	Tensor3_antisymmetric
class	Tensor3_antisymmetric< T *, Tensor_Dim0, Tensor_Dim12 >
class	Tensor3_antisymmetric_constructor
class	Tensor3_antisymmetric_constructor< T, 2, 2 >
class	Tensor3_antisymmetric_constructor< T, 3, 3 >
class	Tensor3_antisymmetric_constructor< T, 4, 4 >
class	Tensor3_antisymmetric_Expr
class	Tensor3_antisymmetric_Expr< Tensor3_antisymmetric< A, Dim0, Dim12 >, T, Dim0, Dim12, i, j, k >
class	Tensor3_antisymmetric_mod_Tensor1
class	Tensor3_antisymmetric_or_Tensor3_antisymmetric
class	Tensor3_antisymmetric_plus_Tensor3_antisymmetric
class	Tensor3_antisymmetric_plus_Tensor3_antisymmetric_12
class	Tensor3_antisymmetric_times_generic
class	Tensor3_constructor
class	Tensor3_constructor< T, 2, 2, 2 >
class	Tensor3_constructor< T, 3, 3, 3 >
class	Tensor3_constructor< T, 4, 4, 4 >
class	Tensor3_contracted_01
class	Tensor3_contracted_02
class	Tensor3_contracted_12
class	Tensor3_Expr
class	Tensor3_Expr< Tensor3< A, Tensor_Dim0, Tensor_Dim1, Tensor_Dim2 >, T, Dim0, Dim1, Dim2, i, j, k >
class	Tensor3_Expr< Tensor4_number_rhs_2< A, T, N >, T, Dim0, Dim1, Dim2, i, j, k >
class	Tensor3_Expr< Tensor4_number_rhs_3< A, T, N >, T, Dim0, Dim1, Dim2, i, j, k >
class	Tensor3_minus_Tensor3
class	Tensor3_minus_Tensor3< A, B, T, U, Dim0, Dim1, Dim2, Dim0, Dim1, Dim2, i, j, k, i, j, k >
class	Tensor3_minus_Tensor3< A, B, T, U, Dim0, Dim1, Dim2, Dim0, Dim2, Dim1, i, j, k, i, k, j >
class	Tensor3_minus_Tensor3< A, B, T, U, Dim0, Dim1, Dim2, Dim1, Dim0, Dim2, i, j, k, j, i, k >
class	Tensor3_minus_Tensor3< A, B, T, U, Dim0, Dim1, Dim2, Dim1, Dim2, Dim0, i, j, k, j, k, i >
class	Tensor3_minus_Tensor3< A, B, T, U, Dim0, Dim1, Dim2, Dim2, Dim0, Dim1, i, j, k, k, i, j >
class	Tensor3_minus_Tensor3< A, B, T, U, Dim0, Dim1, Dim2, Dim2, Dim1, Dim0, i, j, k, k, j, i >
class	Tensor3_number_0
class	Tensor3_number_01
class	Tensor3_number_02
class	Tensor3_number_1
class	Tensor3_number_12
class	Tensor3_number_2
class	Tensor3_number_rhs_0
class	Tensor3_number_rhs_01
class	Tensor3_number_rhs_02
class	Tensor3_number_rhs_1
class	Tensor3_number_rhs_12
class	Tensor3_number_rhs_2
class	Tensor3_numeral_0
class	Tensor3_numeral_01
class	Tensor3_numeral_12
class	Tensor3_numeral_2
class	Tensor3_or_Tensor3
class	Tensor3_or_Tensor3< A, B, T, U, Dim0, Dim12, Dim12, Dim0, Dim12, Dim12, i, j, k, i, k, j >
class	Tensor3_or_Tensor3< A, B, T, U, Dim02, Dim1, Dim02, Dim02, Dim1, Dim02, i, j, k, j, i, k >
class	Tensor3_or_Tensor3< A, B, T, U, Dim02, Dim1, Dim02, Dim02, Dim1, Dim02, i, j, k, k, j, i >
class	Tensor3_plus_Tensor3
class	Tensor3_plus_Tensor3< A, B, T, U, Dim0, Dim1, Dim2, Dim0, Dim1, Dim2, i, j, k, i, j, k >
class	Tensor3_plus_Tensor3< A, B, T, U, Dim0, Dim1, Dim2, Dim0, Dim2, Dim1, i, j, k, i, k, j >
class	Tensor3_plus_Tensor3< A, B, T, U, Dim0, Dim1, Dim2, Dim1, Dim0, Dim2, i, j, k, j, i, k >
class	Tensor3_plus_Tensor3< A, B, T, U, Dim0, Dim1, Dim2, Dim1, Dim2, Dim0, i, j, k, j, k, i >
class	Tensor3_plus_Tensor3< A, B, T, U, Dim0, Dim1, Dim2, Dim2, Dim0, Dim1, i, j, k, k, i, j >
class	Tensor3_plus_Tensor3< A, B, T, U, Dim0, Dim1, Dim2, Dim2, Dim1, Dim0, i, j, k, k, j, i >
class	Tensor3_times_Dg
class	Tensor3_times_Dg_02_20
class	Tensor3_times_Dg_12_12
class	Tensor3_times_Tensor1_0
class	Tensor3_times_Tensor1_1
class	Tensor3_times_Tensor1_2
class	Tensor3_times_Tensor2_0_01
class	Tensor3_times_Tensor2_0_10
class	Tensor3_times_Tensor2_1_01
class	Tensor3_times_Tensor2_1_10
class	Tensor3_times_Tensor2_2_01
class	Tensor3_times_Tensor2_2_10
class	Tensor3_times_Tensor2_double
class	Tensor3_times_Tensor2_symmetric_0
class	Tensor3_times_Tensor2_symmetric_01
class	Tensor3_times_Tensor2_symmetric_02
class	Tensor3_times_Tensor2_symmetric_1
class	Tensor3_times_Tensor2_symmetric_12
class	Tensor3_times_Tensor3_12_12
class	Tensor3_times_Tensor3_12_21
class	Tensor3_times_Tensor3_21
class	Tensor3_times_Tensor3_23_23
class	Tensor3_times_Tensor3_23_32
class	Tensor4
class	Tensor4< PackPtr< T *, I >, Tensor_Dim0, Tensor_Dim1, Tensor_Dim2, Tensor_Dim3 >
class	Tensor4< T *, Tensor_Dim0, Tensor_Dim1, Tensor_Dim2, Tensor_Dim3 >
class	Tensor4_constructor
class	Tensor4_constructor< T, 2, 2, 2, 2 >
class	Tensor4_constructor< T, 3, 3, 3, 3 >
class	Tensor4_contracted_01
class	Tensor4_contracted_02
class	Tensor4_contracted_03
class	Tensor4_contracted_12
class	Tensor4_contracted_13
class	Tensor4_contracted_23
class	Tensor4_Expr
class	Tensor4_Expr< Tensor4< A, Dim0, Dim1, Dim2, Dim3 >, T, Dim0, Dim1, Dim2, Dim3, i, j, k, l >
class	Tensor4_minus_Tensor4
class	Tensor4_number_2
class	Tensor4_number_3
class	Tensor4_number_rhs_2
class	Tensor4_number_rhs_3
class	Tensor4_numeral_2
class	Tensor4_numeral_3
class	Tensor4_or_Tensor4
class	Tensor4_or_Tensor4< A, B, T, U, Dim01, Dim01, Dim23, Dim23, Dim01, Dim01, Dim23, Dim23, i, j, k, l, j, i, l, k >
class	Tensor4_plus_Tensor4
class	Tensor4_times_Dg_01
class	Tensor4_times_Dg_23
class	Tensor4_times_Tensor1_0
class	Tensor4_times_Tensor1_1
class	Tensor4_times_Tensor1_2
class	Tensor4_times_Tensor1_3
class	Tensor4_times_Tensor2_03
class	Tensor4_times_Tensor2_0_0
class	Tensor4_times_Tensor2_0_1
class	Tensor4_times_Tensor2_13
class	Tensor4_times_Tensor2_1_0
class	Tensor4_times_Tensor2_1_1
class	Tensor4_times_Tensor2_23
class	Tensor4_times_Tensor2_2_0
class	Tensor4_times_Tensor2_2_1
class	Tensor4_times_Tensor2_30
class	Tensor4_times_Tensor2_32
class	Tensor4_times_Tensor2_3_0
class	Tensor4_times_Tensor2_3_1
class	Tensor4_times_Tensor2_double
class	Tensor4_times_Tensor2_single
class	Tensor4_times_Tensor2_symmetric_01
class	Tensor4_times_Tensor2_symmetric_02
class	Tensor4_times_Tensor2_symmetric_03
class	Tensor4_times_Tensor2_symmetric_23
class	Tensor4_times_Tensor2_symmetric_30
class	Tensor4_times_Tensor2_symmetric_32
class	Tensor4_times_Tensor3_12_21
class	Tensor4_times_Tensor3_23
class	Tensor4_times_Tensor3_triple
class	Tensor4_times_Tensor4_2345
class	transform_Tensor2

Enumerations
enum	Layout { column_major , row_major }

Functions
template<class A , class B , class T , class U , char i, char j, char k>
auto	cross (const Tensor1_Expr< A, T, 3, i > &a, const Tensor1_Expr< B, U, 3, j > &b, const Index< k, 3 > &)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Riemann_Expr< Ddg_and_Ddg0321< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, i, j, k, l >	operator&& (const Ddg_Expr< A, T, Dim, Dim, i, k, j, l > &a, const Ddg_Expr< B, U, Dim, Dim, i, l, k, j > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Riemann_Expr< Ddg_and_Ddg0213< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, i, j, k, l >	operator&& (const Ddg_Expr< A, T, Dim, Dim, i, k, l, j > &a, const Ddg_Expr< B, U, Dim, Dim, i, l, k, j > &b)
template<class A , class B , class T , class U , int Dim01_0, int Dim23_0, int Dim_1, char i0, char j0, char k0, char l0, char i1, char j1>
Ddg_Expr< Ddg_and_Tensor2_symmetric< A, B, T, U, Dim01_0, Dim23_0, Dim_1, i0, j0, k0, l0, i1, j1 >, typename promote< T, U >::V, Dim01_0, Dim23_0, i0, j0, k0, l0 >	operator& (const Ddg_Expr< A, T, Dim01_0, Dim23_0, i0, j0, k0, l0 > &a, const Tensor2_symmetric_Expr< B, U, Dim_1, i1, j1 > &b)
template<class A , class B , class T , class U , int Dim01_0, int Dim23_0, int Dim_1, char i0, char j0, char k0, char l0, char i1, char j1>
Ddg_Expr< Ddg_and_Tensor2_symmetric< A, B, T, U, Dim01_0, Dim23_0, Dim_1, i0, j0, k0, l0, i1, j1 >, typename promote< T, U >::V, Dim01_0, Dim23_0, i0, j0, k0, l0 >	operator& (const Tensor2_symmetric_Expr< B, U, Dim_1, i1, j1 > &b, const Ddg_Expr< A, T, Dim01_0, Dim23_0, i0, j0, k0, l0 > &a)
template<class A , class B , class T , class U , int Dim, int Dim23, char i, char j, char k, char l, char m, char n>
Ddg_Expr< Ddg_carat_Ddg_13< A, B, T, U, Dim, Dim23, i, j, k, l, m, n >, typename promote< T, U >::V, Dim, Dim23, i, k, m, n >	operator^ (const Ddg_Expr< A, T, Dim, Dim, i, j, k, l > &a, const Ddg_Expr< B, U, Dim, Dim23, j, l, m, n > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Ddg_carat_Tensor2_symmetric_13< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, i, k >	operator^ (const Ddg_Expr< A, T, Dim, Dim, i, j, k, l > &a, const Tensor2_symmetric_Expr< B, U, Dim, j, l > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Ddg_carat_Tensor2_symmetric_13< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, i, k >	operator^ (const Tensor2_symmetric_Expr< B, U, Dim, j, l > &b, const Ddg_Expr< A, T, Dim, Dim, i, j, k, l > &a)
template<class A , class B , class U , int Current_Dim0, int Current_Dim1, int Current_Dim2, int Current_Dim3, int Dim01, int Dim23, char i, char j, char k, char l>
void	T4ddg_equals_T4ddg (A &iter, const Ddg_Expr< B, U, Dim01, Dim23, i, j, k, l > &result, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &, const Number< Current_Dim3 > &)
template<class A , class B , class U , int Current_Dim1, int Current_Dim2, int Current_Dim3, int Dim01, int Dim23, char i, char j, char k, char l>
void	T4ddg_equals_T4ddg (A &iter, const Ddg_Expr< B, U, Dim01, Dim23, i, j, k, l > &result, const Number< 1 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &, const Number< Current_Dim3 > &)
template<class A , class B , class U , int Current_Dim2, int Current_Dim3, int Dim01, int Dim23, char i, char j, char k, char l>
void	T4ddg_equals_T4ddg (A &iter, const Ddg_Expr< B, U, Dim01, Dim23, i, j, k, l > &result, const Number< 1 > &, const Number< 1 > &, const Number< Current_Dim2 > &, const Number< Current_Dim3 > &)
template<class A , class B , class U , int Current_Dim3, int Dim01, int Dim23, char i, char j, char k, char l>
void	T4ddg_equals_T4ddg (A &iter, const Ddg_Expr< B, U, Dim01, Dim23, i, j, k, l > &result, const Number< 1 > &, const Number< 1 > &, const Number< 1 > &, const Number< Current_Dim3 > &)
template<class A , class B , class U , int Dim01, int Dim23, char i, char j, char k, char l>
void	T4ddg_equals_T4ddg (A &iter, const Ddg_Expr< B, U, Dim01, Dim23, i, j, k, l > &result, const Number< 1 > &, const Number< 1 > &, const Number< 1 > &, const Number< 1 > &)
template<class A , class B , class U , int Current_Dim0, int Current_Dim1, int Current_Dim2, int Current_Dim3, int Dim01, int Dim23, char i, char j, char k, char l, class Op >
void	T4ddg_plus_equals_T4ddg (A &iter, const Ddg_Expr< B, U, Dim01, Dim23, i, j, k, l > &result, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &, const Number< Current_Dim3 > &, const Op &)
template<class A , class B , class U , int Current_Dim1, int Current_Dim2, int Current_Dim3, int Dim01, int Dim23, char i, char j, char k, char l, class Op >
void	T4ddg_plus_equals_T4ddg (A &iter, const Ddg_Expr< B, U, Dim01, Dim23, i, j, k, l > &result, const Number< 1 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &, const Number< Current_Dim3 > &, const Op &)
template<class A , class B , class U , int Current_Dim2, int Current_Dim3, int Dim01, int Dim23, char i, char j, char k, char l, class Op >
void	T4ddg_plus_equals_T4ddg (A &iter, const Ddg_Expr< B, U, Dim01, Dim23, i, j, k, l > &result, const Number< 1 > &, const Number< 1 > &, const Number< Current_Dim2 > &, const Number< Current_Dim3 > &, const Op &)
template<class A , class B , class U , int Current_Dim3, int Dim01, int Dim23, char i, char j, char k, char l, class Op >
void	T4ddg_plus_equals_T4ddg (A &iter, const Ddg_Expr< B, U, Dim01, Dim23, i, j, k, l > &result, const Number< 1 > &, const Number< 1 > &, const Number< 1 > &, const Number< Current_Dim3 > &, const Op &)
template<class A , class B , class U , int Dim01, int Dim23, char i, char j, char k, char l, class Op >
void	T4ddg_plus_equals_T4ddg (A &iter, const Ddg_Expr< B, U, Dim01, Dim23, i, j, k, l > &result, const Number< 1 > &, const Number< 1 > &, const Number< 1 > &, const Number< 1 > &, const Op &)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Ddg_Expr< Ddg_minus_Ddg< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim23, i, j, k, l >	operator- (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Ddg_Expr< B, U, Dim01, Dim23, i, j, k, l > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Riemann_Expr< Ddg_mod_Ddg< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, i, j, k, l >	operator% (const Ddg_Expr< A, T, Dim, Dim, i, j, k, l > &a, const Ddg_Expr< B, U, Dim, Dim, i, l, k, j > &b)
template<class A , class B , class T , class U , int Dim01_0, int Dim23_0, int Dim_1, char i0, char j0, char k0, char l0, char i1, char j1>
Ddg_Expr< Ddg_mod_Tensor2_symmetric< A, B, T, U, Dim01_0, Dim23_0, Dim_1, i0, j0, k0, l0, i1, j1 >, typename promote< T, U >::V, Dim01_0, Dim23_0, i0, j0, k0, l0 >	operator% (const Ddg_Expr< A, T, Dim01_0, Dim23_0, i0, j0, k0, l0 > &a, const Tensor2_symmetric_Expr< B, U, Dim_1, i1, j1 > &b)
template<class A , class B , class T , class U , int Dim01_0, int Dim23_0, int Dim_1, char i0, char j0, char k0, char l0, char i1, char j1>
Ddg_Expr< Ddg_mod_Tensor2_symmetric< A, B, T, U, Dim01_0, Dim23_0, Dim_1, i0, j0, k0, l0, i1, j1 >, typename promote< T, U >::V, Dim01_0, Dim23_0, i0, j0, k0, l0 >	operator% (const Tensor2_symmetric_Expr< B, U, Dim_1, i1, j1 > &b, const Ddg_Expr< A, T, Dim01_0, Dim23_0, i0, j0, k0, l0 > &a)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Ddg_Expr< Ddg_or_Ddg< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, Dim, i, k, j, l >	operator|| (const Ddg_Expr< A, T, Dim, Dim, i, j, k, l > &a, const Ddg_Expr< B, U, Dim, Dim, i, l, k, j > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Ddg_or_Tensor2_symmetric_13< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, i, k >	operator| (const Ddg_Expr< A, T, Dim, Dim, i, j, k, l > &a, const Tensor2_symmetric_Expr< B, U, Dim, j, l > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Ddg_or_Tensor2_symmetric_13< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, i, k >	operator| (const Tensor2_symmetric_Expr< B, U, Dim, j, l > &b, const Ddg_Expr< A, T, Dim, Dim, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01_0, int Dim23_0, int Dim01_1, int Dim23_1, char i0, char j0, char k0, char l0, char i1, char j1, char k1, char l1>
Ddg_Expr< Ddg_plus_Ddg< A, B, T, U, Dim01_0, Dim23_0, Dim01_1, Dim23_1, i0, j0, k0, l0, i1, j1, k1, l1 >, typename promote< T, U >::V, Dim01_0, Dim23_0, i0, j0, k0, l0 >	operator+ (const Ddg_Expr< A, T, Dim01_0, Dim23_0, i0, j0, k0, l0 > &a, const Ddg_Expr< B, U, Dim01_1, Dim23_1, i1, j1, k1, l1 > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l, int Current_Dim0, int Current_Dim1, int Current_Dim2, int Current_Dim3>
promote< T, U >::V	T4ddg_times_T4ddg_0213 (const Ddg_Expr< A, T, Dim, Dim, i, j, k, l > &a, const Ddg_Expr< B, U, Dim, Dim, i, k, j, l > &b, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &, const Number< Current_Dim3 > &)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l, int Current_Dim1, int Current_Dim2, int Current_Dim3>
promote< T, U >::V	T4ddg_times_T4ddg_0213 (const Ddg_Expr< A, T, Dim, Dim, i, j, k, l > &a, const Ddg_Expr< B, U, Dim, Dim, i, k, j, l > &b, const Number< 1 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &, const Number< Current_Dim3 > &)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l, int Current_Dim2, int Current_Dim3>
promote< T, U >::V	T4ddg_times_T4ddg_0213 (const Ddg_Expr< A, T, Dim, Dim, i, j, k, l > &a, const Ddg_Expr< B, U, Dim, Dim, i, k, j, l > &b, const Number< 1 > &, const Number< 1 > &, const Number< Current_Dim2 > &, const Number< Current_Dim3 > &)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l, int Current_Dim3>
promote< T, U >::V	T4ddg_times_T4ddg_0213 (const Ddg_Expr< A, T, Dim, Dim, i, j, k, l > &a, const Ddg_Expr< B, U, Dim, Dim, i, k, j, l > &b, const Number< 1 > &, const Number< 1 > &, const Number< 1 > &, const Number< Current_Dim3 > &)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
promote< T, U >::V	T4ddg_times_T4ddg_0213 (const Ddg_Expr< A, T, Dim, Dim, i, j, k, l > &a, const Ddg_Expr< B, U, Dim, Dim, i, k, j, l > &b, const Number< 1 > &, const Number< 1 > &, const Number< 1 > &, const Number< 1 > &)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
promote< T, U >::V	operator* (const Ddg_Expr< A, T, Dim, Dim, i, j, k, l > &a, const Ddg_Expr< B, U, Dim, Dim, i, k, j, l > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim45, char i, char j, char k, char l, char m, char n>
auto	operator* (const Ddg_Expr< A, T, Dim45, Dim01, m, n, i, j > &a, const Ddg_Expr< B, U, Dim45, Dim23, m, n, k, l > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim45, char i, char j, char k, char l, char m, char n>
Ddg_Expr< Ddg_times_Ddg_2301< A, B, T, U, Dim01, Dim23, Dim45, i, j, k, l, m, n >, typename promote< T, U >::V, Dim01, Dim23, i, j, k, l >	operator* (const Ddg_Expr< A, T, Dim01, Dim45, i, j, m, n > &a, const Ddg_Expr< B, U, Dim45, Dim23, m, n, k, l > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim45, char i, char j, char k, char l, char m, char n>
Ddg_Expr< Ddg_times_Ddg_0123< A, B, T, U, Dim01, Dim23, Dim45, i, j, k, l, m, n >, typename promote< T, U >::V, Dim01, Dim23, i, j, k, l >	operator* (const Ddg_Expr< A, T, Dim45, Dim01, m, n, i, j > &a, const Ddg_Expr< B, U, Dim23, Dim45, k, l, m, n > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim45, char i, char j, char k, char l, char m, char n>
Ddg_Expr< Ddg_times_Ddg_2323< A, B, T, U, Dim01, Dim23, Dim45, i, j, k, l, m, n >, typename promote< T, U >::V, Dim01, Dim23, i, j, k, l >	operator* (const Ddg_Expr< A, T, Dim01, Dim45, i, j, m, n > &a, const Ddg_Expr< B, U, Dim23, Dim45, k, l, m, n > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim4, char i, char j, char k, char l, char m>
auto	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Dg_Expr< B, U, Dim23, Dim4, k, l, m > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim4, char i, char j, char k, char l, char m>
auto	operator* (const Dg_Expr< B, U, Dim23, Dim4, k, l, m > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim4, char i, char j, char k, char l, char m>
auto	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Dg_Expr< B, U, Dim01, Dim4, i, j, m > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim4, char i, char j, char k, char l, char m>
auto	operator* (const Dg_Expr< B, U, Dim01, Dim4, i, j, m > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
auto	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const U &d0)
template<class A , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
auto	operator* (const U &d0, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
auto	operator/ (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const U &d0)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Dg_Expr< Ddg_times_Tensor1_2< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim23, i, j, l >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor1_Expr< B, U, Dim23, k > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Dg_Expr< Ddg_times_Tensor1_2< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim23, i, j, l >	operator* (const Tensor1_Expr< B, U, Dim23, k > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Dg_Expr< Ddg_times_Tensor1_3< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim23, i, j, k >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor1_Expr< B, U, Dim23, l > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Dg_Expr< Ddg_times_Tensor1_3< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim23, i, j, k >	operator* (const Tensor1_Expr< B, U, Dim23, l > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Dg_Expr< Ddg_times_Tensor1_0< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim23, j, k, l >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor1_Expr< B, U, Dim01, i > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Dg_Expr< Ddg_times_Tensor1_0< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim23, j, k, l >	operator* (const Tensor1_Expr< B, U, Dim01, i > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Dg_Expr< Ddg_times_Tensor1_1< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim23, i, k, l >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor1_Expr< B, U, Dim01, j > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Dg_Expr< Ddg_times_Tensor1_1< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim23, i, k, l >	operator* (const Tensor1_Expr< B, U, Dim01, j > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Ddg_times_Tensor2_23< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim01, i, j >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor2_Expr< B, U, Dim23, Dim23, k, l > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Ddg_times_Tensor2_23< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim01, i, j >	operator* (const Tensor2_Expr< B, U, Dim23, Dim23, k, l > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Ddg_times_Tensor2_32< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim01, i, j >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor2_Expr< B, U, Dim23, Dim23, l, k > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Ddg_times_Tensor2_32< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim01, i, j >	operator* (const Tensor2_Expr< B, U, Dim23, Dim23, l, k > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Ddg_times_Tensor2_01< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim23, k, l >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor2_Expr< B, U, Dim01, Dim01, i, j > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Ddg_times_Tensor2_01< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim23, k, l >	operator* (const Tensor2_Expr< B, U, Dim01, Dim01, i, j > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Ddg_times_Tensor2_01< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim23, k, l >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, j, i, k, l > &a, const Tensor2_Expr< B, U, Dim01, Dim01, i, j > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Ddg_times_Tensor2_01< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim23, k, l >	operator* (const Tensor2_Expr< B, U, Dim01, Dim01, i, j > &b, const Ddg_Expr< A, T, Dim01, Dim23, j, i, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Tensor2_Expr< Ddg_times_Tensor2_13< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim23, i, k >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor2_Expr< B, U, Dim01, Dim23, j, l > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Tensor2_Expr< Ddg_times_Tensor2_13< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim23, i, k >	operator* (const Tensor2_Expr< B, U, Dim01, Dim23, j, l > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim4, char i, char j, char k, char l, char m>
const Tensor4_Expr< const Ddg_times_Tensor2_3_1< A, B, T, U, Dim01, Dim23, Dim4, i, j, k, l, m >, typename promote< T, U >::V, Dim01, Dim01, Dim23, Dim4, i, j, k, m >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor2_Expr< B, U, Dim23, Dim4, l, m > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim4, char i, char j, char k, char l, char m>
const Tensor4_Expr< const Ddg_times_Tensor2_3_1< A, B, T, U, Dim01, Dim23, Dim4, i, j, k, l, m >, typename promote< T, U >::V, Dim01, Dim01, Dim23, Dim4, i, j, k, m >	operator* (const Tensor2_Expr< B, U, Dim23, Dim4, l, m > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim4, char i, char j, char k, char l, char m>
const Tensor4_Expr< const Ddg_times_Tensor2_3_0< A, B, T, U, Dim01, Dim23, Dim4, i, j, k, l, m >, typename promote< T, U >::V, Dim01, Dim01, Dim23, Dim4, i, j, k, m >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor2_Expr< B, U, Dim4, Dim23, m, l > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim4, char i, char j, char k, char l, char m>
const Tensor4_Expr< const Ddg_times_Tensor2_3_0< A, B, T, U, Dim01, Dim23, Dim4, i, j, k, l, m >, typename promote< T, U >::V, Dim01, Dim01, Dim23, Dim4, i, j, k, m >	operator* (const Tensor2_Expr< B, U, Dim4, Dim23, m, l > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim4, char i, char j, char k, char l, char m>
const Tensor4_Expr< const Ddg_times_Tensor2_2_0< A, B, T, U, Dim01, Dim23, Dim4, i, j, k, l, m >, typename promote< T, U >::V, Dim01, Dim01, Dim23, Dim4, i, j, m, l >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor2_Expr< B, U, Dim4, Dim23, m, k > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim4, char i, char j, char k, char l, char m>
const Tensor4_Expr< const Ddg_times_Tensor2_2_0< A, B, T, U, Dim01, Dim23, Dim4, i, j, k, l, m >, typename promote< T, U >::V, Dim01, Dim01, Dim23, Dim4, i, j, m, l >	operator* (const Tensor2_Expr< B, U, Dim4, Dim23, m, k > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim4, char i, char j, char k, char l, char m>
const Tensor4_Expr< const Ddg_times_Tensor2_2_1< A, B, T, U, Dim01, Dim23, Dim4, i, j, k, l, m >, typename promote< T, U >::V, Dim01, Dim01, Dim23, Dim4, i, j, m, l >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor2_Expr< B, U, Dim4, Dim23, k, m > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim4, char i, char j, char k, char l, char m>
const Tensor4_Expr< const Ddg_times_Tensor2_2_1< A, B, T, U, Dim01, Dim23, Dim4, i, j, k, l, m >, typename promote< T, U >::V, Dim01, Dim01, Dim23, Dim4, i, j, m, l >	operator* (const Tensor2_Expr< B, U, Dim4, Dim23, k, m > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim2, char i, char j, char k, char l, char m>
const Tensor4_Expr< const Ddg_times_Tensor2_1_0< A, B, T, U, Dim01, Dim23, Dim2, i, j, k, l, m >, typename promote< T, U >::V, Dim01, Dim2, Dim23, Dim23, i, m, k, l >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor2_Expr< B, U, Dim01, Dim2, j, m > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim2, char i, char j, char k, char l, char m>
const Tensor4_Expr< const Ddg_times_Tensor2_1_0< A, B, T, U, Dim01, Dim23, Dim2, i, j, k, l, m >, typename promote< T, U >::V, Dim01, Dim2, Dim23, Dim23, i, m, k, l >	operator* (const Tensor2_Expr< B, U, Dim01, Dim2, j, m > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim2, char i, char j, char k, char l, char m>
const Tensor4_Expr< const Ddg_times_Tensor2_1_1< A, B, T, U, Dim01, Dim23, Dim2, i, j, k, l, m >, typename promote< T, U >::V, Dim01, Dim2, Dim23, Dim23, i, m, k, l >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor2_Expr< B, U, Dim01, Dim2, m, j > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim2, char i, char j, char k, char l, char m>
const Tensor4_Expr< const Ddg_times_Tensor2_1_1< A, B, T, U, Dim01, Dim23, Dim2, i, j, k, l, m >, typename promote< T, U >::V, Dim01, Dim2, Dim23, Dim23, i, m, k, l >	operator* (const Tensor2_Expr< B, U, Dim01, Dim2, m, j > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim1, char i, char j, char k, char l, char m>
const Tensor4_Expr< const Ddg_times_Tensor2_0_0< A, B, T, U, Dim01, Dim23, Dim1, i, j, k, l, m >, typename promote< T, U >::V, Dim1, Dim01, Dim23, Dim23, m, j, k, l >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor2_Expr< B, U, Dim01, Dim1, i, m > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim1, char i, char j, char k, char l, char m>
const Tensor4_Expr< const Ddg_times_Tensor2_0_0< A, B, T, U, Dim01, Dim23, Dim1, i, j, k, l, m >, typename promote< T, U >::V, Dim01, Dim01, Dim23, Dim1, m, j, k, l >	operator* (const Tensor2_Expr< B, U, Dim01, Dim1, i, m > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim1, char i, char j, char k, char l, char m>
const Tensor4_Expr< const Ddg_times_Tensor2_0_1< A, B, T, U, Dim01, Dim23, Dim1, i, j, k, l, m >, typename promote< T, U >::V, Dim1, Dim01, Dim23, Dim23, m, j, k, l >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor2_Expr< B, U, Dim01, Dim1, m, i > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim1, char i, char j, char k, char l, char m>
const Tensor4_Expr< const Ddg_times_Tensor2_0_1< A, B, T, U, Dim01, Dim23, Dim1, i, j, k, l, m >, typename promote< T, U >::V, Dim1, Dim01, Dim23, Dim23, m, j, k, l >	operator* (const Tensor2_Expr< B, U, Dim01, Dim1, m, i > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Tensor2_Expr< Ddg_times_Tensor2_symmetric_13< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, Dim, i, k >	operator* (const Ddg_Expr< A, T, Dim, Dim, i, j, k, l > &a, const Tensor2_symmetric_Expr< B, U, Dim, j, l > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Tensor2_Expr< Ddg_times_Tensor2_symmetric_13< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, Dim, i, k >	operator* (const Tensor2_symmetric_Expr< B, U, Dim, j, l > &b, const Ddg_Expr< A, T, Dim, Dim, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Ddg_times_Tensor2_symmetric_01< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim23, k, l >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor2_symmetric_Expr< B, U, Dim01, i, j > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Ddg_times_Tensor2_symmetric_01< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim23, k, l >	operator* (const Tensor2_symmetric_Expr< B, U, Dim01, i, j > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Ddg_times_Tensor2_symmetric_23< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim01, i, j >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a, const Tensor2_symmetric_Expr< B, U, Dim23, k, l > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Ddg_times_Tensor2_symmetric_23< A, B, T, U, Dim01, Dim23, i, j, k, l >, typename promote< T, U >::V, Dim01, i, j >	operator* (const Tensor2_symmetric_Expr< B, U, Dim23, k, l > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim2, int Dim3, char i, char j, char k, char l, char m, char n>
Tensor4_Expr< Ddg_times_Tensor4_2301< A, B, T, U, Dim01, Dim23, Dim2, Dim3, i, j, k, l, m, n >, typename promote< T, U >::V, Dim01, Dim01, Dim2, Dim3, i, j, k, l >	operator* (const Ddg_Expr< A, T, Dim01, Dim23, i, j, m, n > &a, const Tensor4_Expr< B, U, Dim23, Dim23, Dim2, Dim3, m, n, k, l > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim2, int Dim3, char i, char j, char k, char l, char m, char n>
Tensor4_Expr< Ddg_times_Tensor4_2301< A, B, T, U, Dim01, Dim23, Dim2, Dim3, i, j, k, l, m, n >, typename promote< T, U >::V, Dim01, Dim01, Dim2, Dim3, i, j, k, l >	operator* (const Tensor4_Expr< B, U, Dim23, Dim23, Dim2, Dim3, m, n, k, l > &b, const Ddg_Expr< A, T, Dim01, Dim23, i, j, m, n > &a)
template<class A , class T , int Dim01, int Dim23, char i, char j, char k, char l>
Ddg_Expr< minus_Ddg< A, T, Dim01, Dim23, i, j, k, l >, T, Dim01, Dim23, i, j, k, l >	operator- (const Ddg_Expr< A, T, Dim01, Dim23, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim, char i, char j, char k>
Tensor3_antisymmetric_Expr< Dg_and_Dg_12< A, B, T, U, Dim, i, j, k >, typename promote< T, U >::V, Dim, Dim, i, j, k >	operator&& (const Dg_Expr< A, T, Dim, Dim, i, j, k > &a, const Dg_Expr< B, U, Dim, Dim, i, k, j > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k>
Tensor3_antisymmetric_Expr< Dg_and_Dg_02< A, B, T, U, Dim, i, j, k >, typename promote< T, U >::V, Dim, Dim, j, i, k >	operator&& (const Dg_Expr< A, T, Dim, Dim, i, j, k > &a, const Dg_Expr< B, U, Dim, Dim, k, j, i > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Dg_Expr< Dg_and_Tensor1< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, Dim2, i, j, k >	operator& (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Tensor1_Expr< B, U, Dim2, k > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Dg_Expr< Dg_and_Tensor1< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, Dim2, i, j, k >	operator& (const Tensor1_Expr< B, U, Dim2, k > &b, const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Dg_Expr< Dg_and_Tensor2_symmetric< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, Dim2, i, j, k >	operator& (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Tensor2_symmetric_Expr< B, U, Dim01, i, j > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Dg_Expr< Dg_and_Tensor2_symmetric< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, Dim2, i, j, k >	operator& (const Tensor2_symmetric_Expr< B, U, Dim01, i, j > &b, const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a)
template<class A , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Dg_Expr< Dg_divide_generic< A, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, Dim2, i, j, k >	operator/ (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const U &d0)
template<class A , class B , class U , int Dim01, int Dim2, char i, char j, char k, int Current_Dim0, int Current_Dim1, int Current_Dim2>
void	T3dg_equals_T3dg (A &iter, const Dg_Expr< B, U, Dim01, Dim2, i, j, k > &result, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &)
template<class A , class B , class U , int Dim01, int Dim2, char i, char j, char k, int Current_Dim1, int Current_Dim2>
void	T3dg_equals_T3dg (A &iter, const Dg_Expr< B, U, Dim01, Dim2, i, j, k > &result, const Number< 1 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &)
template<class A , class B , class U , int Dim01, int Dim2, char i, char j, char k, int Current_Dim2>
void	T3dg_equals_T3dg (A &iter, const Dg_Expr< B, U, Dim01, Dim2, i, j, k > &result, const Number< 1 > &, const Number< 1 > &, const Number< Current_Dim2 > &)
template<class A , class B , class U , int Dim01, int Dim2, char i, char j, char k>
void	T3dg_equals_T3dg (A &iter, const Dg_Expr< B, U, Dim01, Dim2, i, j, k > &result, const Number< 1 > &, const Number< 1 > &, const Number< 1 > &)
template<class A , class B , class U , int Dim01, int Dim2, char i, char j, char k, int Current_Dim0, int Current_Dim1, int Current_Dim2, class Op >
void	T3dg_plus_equals_T3dg (A &iter, const Dg_Expr< B, U, Dim01, Dim2, i, j, k > &result, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &, const Op &)
template<class A , class B , class U , int Dim01, int Dim2, char i, char j, char k, int Current_Dim1, int Current_Dim2, class Op >
void	T3dg_plus_equals_T3dg (A &iter, const Dg_Expr< B, U, Dim01, Dim2, i, j, k > &result, const Number< 1 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &, const Op &)
template<class A , class B , class U , int Dim01, int Dim2, char i, char j, char k, int Current_Dim2, class Op >
void	T3dg_plus_equals_T3dg (A &iter, const Dg_Expr< B, U, Dim01, Dim2, i, j, k > &result, const Number< 1 > &, const Number< 1 > &, const Number< Current_Dim2 > &, const Op &)
template<class A , class B , class U , int Dim01, int Dim2, char i, char j, char k, class Op >
void	T3dg_plus_equals_T3dg (A &iter, const Dg_Expr< B, U, Dim01, Dim2, i, j, k > &result, const Number< 1 > &, const Number< 1 > &, const Number< 1 > &, const Op &)
template<class A , class U , int Dim01, int Dim2, int Current_Dim0, int Current_Dim1, int Current_Dim2>
void	T3dg_equals_generic (A &iter, const U &u, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &, const Number< Dim01 > &, const Number< Dim2 > &)
template<class A , class U , int Dim01, int Dim2, int Current_Dim1, int Current_Dim2>
void	T3dg_equals_generic (A &iter, const U &u, const Number< 1 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &, const Number< Dim01 > &, const Number< Dim2 > &)
template<class A , class U , int Dim01, int Dim2, int Current_Dim2>
void	T3dg_equals_generic (A &iter, const U &u, const Number< 1 > &, const Number< 1 > &, const Number< Current_Dim2 > &, const Number< Dim01 > &, const Number< Dim2 > &)
template<class A , class U , int Dim01, int Dim2>
void	T3dg_equals_generic (A &iter, const U &u, const Number< 1 > &, const Number< 1 > &, const Number< 1 > &, const Number< Dim01 > &, const Number< Dim2 > &)
template<class A , class B , class U , int Dim12, int Dim0, char i, char j, char k, int Current_Dim0, int Current_Dim1, int Current_Dim2, class Op >
void	T3ch_equals_T3dg (A &iter, const Dg_Expr< B, U, Dim12, Dim0, i, j, k > &result, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &, const Op &)
template<class A , class B , class U , int Dim12, int Dim0, char i, char j, char k, int Current_Dim1, int Current_Dim2, class Op >
void	T3ch_equals_T3dg (A &iter, const Dg_Expr< B, U, Dim12, Dim0, i, j, k > &result, const Number< 1 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &, const Op &)
template<class A , class B , class U , int Dim12, int Dim0, char i, char j, char k, int Current_Dim2, class Op >
void	T3ch_equals_T3dg (A &iter, const Dg_Expr< B, U, Dim12, Dim0, i, j, k > &result, const Number< 1 > &, const Number< 1 > &, const Number< Current_Dim2 > &, const Op &)
template<class A , class B , class U , int Dim12, int Dim0, char i, char j, char k, class Op >
void	T3ch_equals_T3dg (A &iter, const Dg_Expr< B, U, Dim12, Dim0, i, j, k > &result, const Number< 1 > &, const Number< 1 > &, const Number< 1 > &, const Op &)
template<class A , class U , int Dim12, int Dim0, int Current_Dim0, int Current_Dim1, int Current_Dim2>
void	T3ch_equals_generic (A &iter, const U &u, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &, const Number< Dim12 > &, const Number< Dim0 > &)
template<class A , class U , int Dim12, int Dim0, int Current_Dim1, int Current_Dim2>
void	T3ch_equals_generic (A &iter, const U &u, const Number< 1 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &, const Number< Dim12 > &, const Number< Dim0 > &)
template<class A , class U , int Dim12, int Dim0, int Current_Dim2>
void	T3ch_equals_generic (A &iter, const U &u, const Number< 1 > &, const Number< 1 > &, const Number< Current_Dim2 > &, const Number< Dim12 > &, const Number< Dim0 > &)
template<class A , class U , int Dim12, int Dim0>
void	T3ch_equals_generic (A &iter, const U &u, const Number< 1 > &, const Number< 1 > &, const Number< 1 > &, const Number< Dim12 > &, const Number< Dim0 > &)
template<class A , class B , class U , int Dim23, int Dim1, char i, char j, char k, int Current_Dim0, int Current_Dim1, int Current_Dim2, int N>
void	T4ddgrhs0_equals_T3dg (A &iter, const Dg_Expr< B, U, Dim23, Dim1, i, j, k > &result, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &, const Number< N > &)
template<class A , class B , class U , int Dim23, int Dim1, char i, char j, char k, int Current_Dim1, int Current_Dim2, int N>
void	T4ddgrhs0_equals_T3dg (A &iter, const Dg_Expr< B, U, Dim23, Dim1, i, j, k > &result, const Number< 1 > &, const Number< Current_Dim1 > &, const Number< Current_Dim2 > &, const Number< N > &)
template<class A , class B , class U , int Dim23, int Dim1, char i, char j, char k, int Current_Dim2, int N>
void	T4ddgrhs0_equals_T3dg (A &iter, const Dg_Expr< B, U, Dim23, Dim1, i, j, k > &result, const Number< 1 > &, const Number< 1 > &, const Number< Current_Dim2 > &, const Number< N > &)
template<class A , class B , class U , int Dim23, int Dim1, char i, char j, char k, int N>
void	T4ddgrhs0_equals_T3dg (A &iter, const Dg_Expr< B, U, Dim23, Dim1, i, j, k > &result, const Number< 1 > &, const Number< 1 > &, const Number< 1 > &, const Number< N > &)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Dg_Expr< Dg_minus_Dg< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, Dim2, i, j, k >	operator- (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Dg_Expr< B, U, Dim01, Dim2, i, j, k > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k>
Tensor3_Expr< Dg_minus_Dg_02< A, B, T, U, Dim, i, j, k >, typename promote< T, U >::V, Dim, Dim, Dim, i, j, k >	operator- (const Dg_Expr< A, T, Dim, Dim, i, j, k > &a, const Dg_Expr< B, U, Dim, Dim, k, j, i > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k>
Dg_Expr< Dg_or_Dg_12< A, B, T, U, Dim, i, j, k >, typename promote< T, U >::V, Dim, Dim, j, k, i >	operator|| (const Dg_Expr< A, T, Dim, Dim, i, j, k > &a, const Dg_Expr< B, U, Dim, Dim, i, k, j > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k>
Dg_Expr< Dg_or_Dg_02< A, B, T, U, Dim, i, j, k >, typename promote< T, U >::V, Dim, Dim, j, k, i >	operator|| (const Dg_Expr< A, T, Dim, Dim, j, i, k > &a, const Dg_Expr< B, U, Dim, Dim, k, i, j > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Dg_Expr< Dg_plus_Dg< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, Dim2, i, j, k >	operator+ (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Dg_Expr< B, U, Dim01, Dim2, i, j, k > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Dg_Expr< Dg_plus_Dg_10< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, Dim2, i, j, k >	operator+ (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Dg_Expr< B, U, Dim01, Dim2, j, i, k > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k>
Tensor3_Expr< Dg_plus_Dg_210< A, B, T, U, Dim, i, j, k >, typename promote< T, U >::V, Dim, Dim, Dim, i, j, k >	operator+ (const Dg_Expr< A, T, Dim, Dim, i, j, k > &a, const Dg_Expr< B, U, Dim, Dim, k, j, i > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k, char l>
Tensor2_Expr< Dg_times_Dg_12_01< A, B, T, U, Dim01, Dim2, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim2, i, l >	operator* (const Dg_Expr< A, T, Dim01, Dim01, i, j, k > &a, const Dg_Expr< B, U, Dim01, Dim2, j, k, l > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k, char l>
Tensor2_Expr< Dg_times_Dg_12_01< A, B, T, U, Dim01, Dim2, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim2, i, l >	operator* (const Dg_Expr< B, U, Dim01, Dim2, j, k, l > &b, const Dg_Expr< A, T, Dim01, Dim01, i, j, k > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k, char l>
Tensor2_Expr< Dg_times_Dg_12_20< A, B, T, U, Dim01, Dim2, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim2, i, l >	operator* (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Dg_Expr< B, U, Dim2, Dim01, k, l, j > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k, char l>
Tensor2_Expr< Dg_times_Dg_12_20< A, B, T, U, Dim01, Dim2, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim2, i, l >	operator* (const Dg_Expr< B, U, Dim2, Dim01, k, l, j > &b, const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, int Dim3, char i, char j, char k, char l>
auto	operator* (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Dg_Expr< B, U, Dim01, Dim3, i, j, l > &b)
template<class A , class B , class T , class U , int Dim01, int Dim23, int Dim2, char i, char j, char k, char l, char m>
Ddg_Expr< Dg_times_Dg_2< A, B, T, U, Dim01, Dim23, Dim2, i, j, k, l, m >, typename promote< T, U >::V, Dim01, Dim23, i, j, l, m >	operator* (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Dg_Expr< B, U, Dim23, Dim2, l, m, k > &b)
template<class A , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Dg_Expr< Dg_times_generic< A, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, Dim2, i, j, k >	operator* (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const U &d0)
template<class A , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Dg_Expr< Dg_times_generic< A, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, Dim2, i, j, k >	operator* (const U &d0, const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor2_symmetric_Expr< Dg_times_Tensor1_2< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, i, j >	operator* (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Tensor1_Expr< B, U, Dim2, k > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor2_symmetric_Expr< Dg_times_Tensor1_2< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, i, j >	operator* (const Tensor1_Expr< B, U, Dim2, k > &b, const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor2_Expr< Dg_times_Tensor1_1< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, Dim2, i, j >	operator* (const Dg_Expr< A, T, Dim01, Dim2, i, k, j > &a, const Tensor1_Expr< B, U, Dim01, k > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor2_Expr< Dg_times_Tensor1_1< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, Dim2, i, j >	operator* (const Tensor1_Expr< B, U, Dim01, k > &b, const Dg_Expr< A, T, Dim01, Dim2, i, k, j > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor2_Expr< Dg_times_Tensor1_0< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, Dim2, i, j >	operator* (const Dg_Expr< A, T, Dim01, Dim2, k, i, j > &a, const Tensor1_Expr< B, U, Dim01, k > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor2_Expr< Dg_times_Tensor1_0< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, Dim2, i, j >	operator* (const Tensor1_Expr< B, U, Dim01, k > &b, const Dg_Expr< A, T, Dim01, Dim2, k, i, j > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, int Dim3, char i, char j, char k, char l>
Dg_Expr< Dg_times_Tensor2_0< A, B, T, U, Dim01, Dim2, Dim3, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim3, i, j, l >	operator* (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Tensor2_Expr< B, U, Dim2, Dim3, k, l > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, int Dim3, char i, char j, char k, char l>
Dg_Expr< Dg_times_Tensor2_0< A, B, T, U, Dim01, Dim2, Dim3, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim3, i, j, l >	operator* (const Tensor2_Expr< B, U, Dim2, Dim3, k, l > &b, const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, int Dim3, char i, char j, char k, char l>
Dg_Expr< Dg_times_Tensor2_1< A, B, T, U, Dim01, Dim2, Dim3, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim3, i, j, l >	operator* (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Tensor2_Expr< B, U, Dim3, Dim2, l, k > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, int Dim3, char i, char j, char k, char l>
Dg_Expr< Dg_times_Tensor2_1< A, B, T, U, Dim01, Dim2, Dim3, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim3, i, j, l >	operator* (const Tensor2_Expr< B, U, Dim3, Dim2, l, k > &b, const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, int Dim3, char i, char j, char k, char l>
Tensor3_Expr< Dg_times_Tensor2_1_0< A, B, T, U, Dim01, Dim2, Dim3, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim2, Dim3, i, k, l >	operator* (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Tensor2_Expr< B, U, Dim01, Dim3, j, l > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, int Dim3, char i, char j, char k, char l>
Tensor3_Expr< Dg_times_Tensor2_1_0< A, B, T, U, Dim01, Dim2, Dim3, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim2, Dim3, i, k, l >	operator* (const Tensor2_Expr< B, U, Dim01, Dim3, j, l > &b, const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, int Dim3, char i, char j, char k, char l>
Tensor3_Expr< Dg_times_Tensor2_1_1< A, B, T, U, Dim01, Dim2, Dim3, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim2, Dim3, i, k, l >	operator* (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Tensor2_Expr< B, U, Dim3, Dim01, l, j > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, int Dim3, char i, char j, char k, char l>
Tensor3_Expr< Dg_times_Tensor2_1_1< A, B, T, U, Dim01, Dim2, Dim3, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim2, Dim3, i, k, l >	operator* (const Tensor2_Expr< B, U, Dim3, Dim01, l, j > &b, const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_12< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, i >	operator* (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Tensor2_Expr< B, U, Dim01, Dim2, j, k > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_12< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, i >	operator* (const Tensor2_Expr< B, U, Dim01, Dim2, j, k > &b, const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_21< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, i >	operator* (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Tensor2_Expr< B, U, Dim2, Dim01, k, j > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_21< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, i >	operator* (const Tensor2_Expr< B, U, Dim2, Dim01, k, j > &b, const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_02< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, i >	operator* (const Dg_Expr< A, T, Dim01, Dim2, j, i, k > &a, const Tensor2_Expr< B, U, Dim01, Dim2, j, k > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_02< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, i >	operator* (const Tensor2_Expr< B, U, Dim01, Dim2, j, k > &b, const Dg_Expr< A, T, Dim01, Dim2, j, i, k > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_20< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, i >	operator* (const Dg_Expr< A, T, Dim01, Dim2, k, i, j > &a, const Tensor2_Expr< B, U, Dim2, Dim01, j, k > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_20< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim01, i >	operator* (const Tensor2_Expr< B, U, Dim2, Dim01, j, k > &b, const Dg_Expr< A, T, Dim01, Dim2, k, i, j > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_01< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim2, i >	operator* (const Dg_Expr< A, T, Dim01, Dim2, j, k, i > &a, const Tensor2_Expr< B, U, Dim01, Dim01, j, k > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_01< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim2, i >	operator* (const Tensor2_Expr< B, U, Dim01, Dim01, j, k > &b, const Dg_Expr< A, T, Dim01, Dim2, j, k, i > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_10< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim2, i >	operator* (const Dg_Expr< A, T, Dim01, Dim2, j, k, i > &a, const Tensor2_Expr< B, U, Dim01, Dim01, k, j > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_10< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim2, i >	operator* (const Tensor2_Expr< B, U, Dim01, Dim01, k, j > &b, const Dg_Expr< A, T, Dim01, Dim2, j, k, i > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k, char l>
Dg_Expr< Dg_times_Tensor2_symmetric_0< A, B, T, U, Dim01, Dim2, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim2, i, j, l >	operator* (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Tensor2_symmetric_Expr< B, U, Dim2, k, l > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k, char l>
Dg_Expr< Dg_times_Tensor2_symmetric_0< A, B, T, U, Dim01, Dim2, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim2, i, j, l >	operator* (const Tensor2_symmetric_Expr< B, U, Dim2, k, l > &b, const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k, char l>
Dg_Expr< Dg_times_Tensor2_symmetric_1< A, B, T, U, Dim01, Dim2, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim2, i, j, l >	operator* (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Tensor2_symmetric_Expr< B, U, Dim2, l, k > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k, char l>
Dg_Expr< Dg_times_Tensor2_symmetric_1< A, B, T, U, Dim01, Dim2, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim2, i, j, l >	operator* (const Tensor2_symmetric_Expr< B, U, Dim2, l, k > &b, const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k, char l>
Tensor3_Expr< Dg_times_Tensor2_symmetric_1_0< A, B, T, U, Dim01, Dim2, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim2, Dim01, i, k, l >	operator* (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Tensor2_symmetric_Expr< B, U, Dim01, j, l > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k, char l>
Tensor3_Expr< Dg_times_Tensor2_symmetric_1_0< A, B, T, U, Dim01, Dim2, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim2, Dim01, i, k, l >	operator* (const Tensor2_symmetric_Expr< B, U, Dim01, j, l > &b, const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k, char l>
Tensor3_Expr< Dg_times_Tensor2_symmetric_1_1< A, B, T, U, Dim01, Dim2, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim2, Dim01, i, k, l >	operator* (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a, const Tensor2_symmetric_Expr< B, U, Dim01, l, j > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k, char l>
Tensor3_Expr< Dg_times_Tensor2_symmetric_1_1< A, B, T, U, Dim01, Dim2, i, j, k, l >, typename promote< T, U >::V, Dim01, Dim2, Dim01, i, k, l >	operator* (const Tensor2_symmetric_Expr< B, U, Dim01, l, j > &b, const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a)
template<class A , class B , class T , class U , int Dim, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_symmetric_12< A, B, T, U, Dim, i, j, k >, typename promote< T, U >::V, Dim, i >	operator* (const Dg_Expr< A, T, Dim, Dim, i, j, k > &a, const Tensor2_symmetric_Expr< B, U, Dim, j, k > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_symmetric_12< A, B, T, U, Dim, i, j, k >, typename promote< T, U >::V, Dim, i >	operator* (const Tensor2_symmetric_Expr< B, U, Dim, j, k > &b, const Dg_Expr< A, T, Dim, Dim, i, j, k > &a)
template<class A , class B , class T , class U , int Dim, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_symmetric_21< A, B, T, U, Dim, i, j, k >, typename promote< T, U >::V, Dim, i >	operator* (const Dg_Expr< A, T, Dim, Dim, i, j, k > &a, const Tensor2_symmetric_Expr< B, U, Dim, k, j > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_symmetric_21< A, B, T, U, Dim, i, j, k >, typename promote< T, U >::V, Dim, i >	operator* (const Tensor2_symmetric_Expr< B, U, Dim, k, j > &b, const Dg_Expr< A, T, Dim, Dim, i, j, k > &a)
template<class A , class B , class T , class U , int Dim, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_symmetric_02< A, B, T, U, Dim, i, j, k >, typename promote< T, U >::V, Dim, i >	operator* (const Dg_Expr< A, T, Dim, Dim, j, i, k > &a, const Tensor2_symmetric_Expr< B, U, Dim, j, k > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_symmetric_02< A, B, T, U, Dim, i, j, k >, typename promote< T, U >::V, Dim, i >	operator* (const Tensor2_symmetric_Expr< B, U, Dim, j, k > &b, const Dg_Expr< A, T, Dim, Dim, j, i, k > &a)
template<class A , class B , class T , class U , int Dim, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_symmetric_20< A, B, T, U, Dim, i, j, k >, typename promote< T, U >::V, Dim, i >	operator* (const Dg_Expr< A, T, Dim, Dim, k, i, j > &a, const Tensor2_symmetric_Expr< B, U, Dim, j, k > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_symmetric_20< A, B, T, U, Dim, i, j, k >, typename promote< T, U >::V, Dim, i >	operator* (const Tensor2_symmetric_Expr< B, U, Dim, j, k > &b, const Dg_Expr< A, T, Dim, Dim, k, i, j > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_symmetric_01< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim2, i >	operator* (const Dg_Expr< A, T, Dim01, Dim2, j, k, i > &a, const Tensor2_symmetric_Expr< B, U, Dim01, j, k > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_symmetric_01< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim2, i >	operator* (const Tensor2_symmetric_Expr< B, U, Dim01, j, k > &b, const Dg_Expr< A, T, Dim01, Dim2, j, k, i > &a)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_symmetric_10< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim2, i >	operator* (const Dg_Expr< A, T, Dim01, Dim2, j, k, i > &a, const Tensor2_symmetric_Expr< B, U, Dim01, k, j > &b)
template<class A , class B , class T , class U , int Dim01, int Dim2, char i, char j, char k>
Tensor1_Expr< Dg_times_Tensor2_symmetric_10< A, B, T, U, Dim01, Dim2, i, j, k >, typename promote< T, U >::V, Dim2, i >	operator* (const Tensor2_symmetric_Expr< B, U, Dim01, k, j > &b, const Dg_Expr< A, T, Dim01, Dim2, j, k, i > &a)
template<class A , class T , int Dim01, int Dim2, char i, char j, char k>
Dg_Expr< minus_Dg< A, T, Dim01, Dim2, i, j, k >, T, Dim01, Dim2, i, j, k >	operator- (const Dg_Expr< A, T, Dim01, Dim2, i, j, k > &a)
template<typename T >
constexpr bool	error_when_instantiated ()
template<class T = int, char i, char j, int Dim0, int Dim1>
Tensor2_Expr< Kronecker_Delta< T >, T, Dim0, Dim1, i, j >	kronecker_delta (const Index< i, Dim0 > &, const Index< j, Dim1 > &)
	Rank 2. More...
template<class T = int, char i, int Dim0>
constexpr auto	kronecker_delta (const Index< i, Dim0 > &, const int &N1)
template<class T = int, char j, int Dim1>
constexpr auto	kronecker_delta (const int &N0, const Index< j, Dim1 > &)
template<class T = int, char i, char j, int Dim>
Tensor2_symmetric_Expr< Kronecker_Delta_symmetric< T >, T, Dim, i, j >	kronecker_delta_symmetric (const Index< i, Dim > &, const Index< j, Dim > &)
template<class T = int, char i, int Dim0>
constexpr auto	kronecker_delta_symmetric (const Index< i, Dim0 > &, const int &N1)
template<class T = int, char j, int Dim1>
constexpr auto	kronecker_delta_symmetric (const int &N0, const Index< j, Dim1 > &)
template<class T = int, char i, char j, int Dim0, int Dim1>
constexpr std::enable_if<(Dim0<=2 &&Dim1<=2), Tensor2_Expr< Levi_Civita< T >, T, Dim0, Dim1, i, j > >::type	levi_civita (const Index< i, Dim0 > &, const Index< j, Dim1 > &)
	levi_civita functions to make for easy adhoc use More...
template<class T = int, char i, int Dim0>
constexpr auto	levi_civita (const Index< i, Dim0 > &, const int &N1)
template<class T = int, char j, int Dim1>
constexpr auto	levi_civita (const int &N0, const Index< j, Dim1 > &)
template<class T = int, char i, char j, char k, int Dim0, int Dim1, int Dim2>
constexpr std::enable_if<(Dim0<=3 &&Dim1<=3 &&Dim2<=3), Tensor3_Expr< Levi_Civita< T >, T, Dim0, Dim1, Dim2, i, j, k > >::type	levi_civita (const Index< i, Dim0 > &, const Index< j, Dim1 > &, const Index< k, Dim2 > &)
	Rank 3. More...
template<class T = int, char i, char j, int Dim0, int Dim1>
constexpr auto	levi_civita (const Index< i, Dim0 > &, const Index< j, Dim1 > &, const int &N2)
template<class T = int, char i, char k, int Dim0, int Dim2>
constexpr auto	levi_civita (const Index< i, Dim0 > &, const int &N1, const Index< k, Dim2 > &)
template<class T = int, char j, char k, int Dim1, int Dim2>
constexpr auto	levi_civita (const int &N0, const Index< j, Dim1 > &, const Index< k, Dim2 > &)
template<class T = int, char i, int Dim0>
constexpr auto	levi_civita (const Index< i, Dim0 > &, const int &N1, const int &N2)
template<class T = int, char j, int Dim1>
constexpr auto	levi_civita (const int &N0, const Index< j, Dim1 > &, const int &N2)
template<class T = int, char k, int Dim2>
constexpr auto	levi_civita (const int &N0, const int &N1, const Index< k, Dim2 > &)
template<class T = int, char i, char j, char k, char l, int Dim0, int Dim1, int Dim2, int Dim3>
constexpr std::enable_if<(Dim0<=4 &&Dim1<=4 &&Dim2<=4 &&Dim3<=4), Tensor4_Expr< Levi_Civita< T >, T, Dim0, Dim1, Dim2, Dim3, i, j, k, l > >::type	levi_civita (const Index< i, Dim0 > &, const Index< j, Dim1 > &, const Index< k, Dim2 > &, const Index< l, Dim3 > &)
	Rank 4. More...
template<class T = int, char i, char j, char k, int Dim0, int Dim1, int Dim2>
constexpr auto	levi_civita (const Index< i, Dim0 > &, const Index< j, Dim1 > &, const Index< k, Dim2 > &, const int &N3)
template<class T = int, char i, char j, char l, int Dim0, int Dim1, int Dim3>
constexpr auto	levi_civita (const Index< i, Dim0 > &, const Index< j, Dim1 > &, const int &N2, const Index< l, Dim3 > &)
template<class T = int, char i, char k, char l, int Dim0, int Dim2, int Dim3>
constexpr auto	levi_civita (const Index< i, Dim0 > &, const int &N1, const Index< k, Dim2 > &, const Index< l, Dim3 > &)
template<class T = int, char j, char k, char l, int Dim1, int Dim2, int Dim3>
constexpr auto	levi_civita (const int &N0, const Index< j, Dim1 > &, const Index< k, Dim2 > &, const Index< l, Dim3 > &)
template<class T = int, char i, char j, int Dim0, int Dim1>
constexpr auto	levi_civita (const Index< i, Dim0 > &, const Index< j, Dim1 > &, const int &N2, const int &N3)
template<class T = int, char i, char k, int Dim0, int Dim2>
constexpr auto	levi_civita (const Index< i, Dim0 > &, const int &N1, const Index< k, Dim2 > &, const int &N3)
template<class T = int, char j, char k, int Dim1, int Dim2>
constexpr auto	levi_civita (const int &N0, const Index< j, Dim1 > &, const Index< k, Dim2 > &, const int &N3)
template<class T = int, char i, char l, int Dim0, int Dim3>
constexpr auto	levi_civita (const Index< i, Dim0 > &, const int &N1, const int &N2, const Index< l, Dim3 > &)
template<class T = int, char j, char l, int Dim1, int Dim3>
constexpr auto	levi_civita (const int &N0, const Index< j, Dim1 > &, const int &N2, const Index< l, Dim3 > &)
template<class T = int, char k, char l, int Dim2, int Dim3>
constexpr auto	levi_civita (const int &N0, const int &N1, const Index< k, Dim2 > &, const Index< l, Dim3 > &)
template<class T = int, char i, int Dim0>
constexpr auto	levi_civita (const Index< i, Dim0 > &, const int &N1, const int &N2, const int &N3)
template<class T = int, char j, int Dim1>
constexpr auto	levi_civita (const int &N0, const Index< j, Dim1 > &, const int &N2, const int &N3)
template<class T = int, char k, int Dim2>
constexpr auto	levi_civita (const int &N0, const int &N1, const Index< k, Dim2 > &, const int &N3)
template<class T = int, char l, int Dim3>
constexpr auto	levi_civita (const int &N0, const int &N1, const int &N2, const Index< l, Dim3 > &)
template<class A , class T , class B , class U , int Dim0_0, int Dim0_1, int Dim1_0, int Dim1_1, char i0, char j0, char i1, char j1>
U	permute (const Tensor2_Expr< A, T, Dim0_0, Dim0_1, i0, j0 > &, const Tensor2_Expr< B, U, Dim1_0, Dim1_1, i1, j1 > &rhs, const int N0, const int N1)
template<class A , class T , class B , class U , int Dim0_0, int Dim0_1, int Dim0_2, int Dim1_0, int Dim1_1, int Dim1_2, char i0, char j0, char k0, char i1, char j1, char k1>
U	permute (const Tensor3_Expr< A, T, Dim0_0, Dim0_1, Dim0_2, i0, j0, k0 > &, const Tensor3_Expr< B, U, Dim1_0, Dim1_1, Dim1_2, i1, j1, k1 > &rhs, const int N0, const int N1, const int N2)
template<class A , class T , class B , class U , int Dim0_0, int Dim0_1, int Dim0_2, int Dim1_01, int Dim1_2, char i0, char j0, char k0, char i1, char j1, char k1>
U	permute (const Tensor3_Expr< A, T, Dim0_0, Dim0_1, Dim0_2, i0, j0, k0 > &, const Dg_Expr< B, U, Dim1_01, Dim1_2, i1, j1, k1 > &rhs, const int N0, const int N1, const int N2)
template<class A , class T , class B , class U , int Dim0_0, int Dim0_1, int Dim0_2, int Dim0_3, int Dim1_0, int Dim1_1, int Dim1_2, int Dim1_3, char i0, char j0, char k0, char l0, char i1, char j1, char k1, char l1>
U	permute (const Tensor4_Expr< A, T, Dim0_0, Dim0_1, Dim0_2, Dim0_3, i0, j0, k0, l0 > &, const Tensor4_Expr< B, U, Dim1_0, Dim1_1, Dim1_2, Dim1_3, i1, j1, k1, l1 > &rhs, const int N0, const int N1, const int N2, const int N3)
template<class A , class T , class B , class U , int Dim0_0, int Dim0_1, int Dim0_2, int Dim0_3, int Dim1_01, int Dim1_23, char i0, char j0, char k0, char l0, char i1, char j1, char k1, char l1>
U	permute (const Tensor4_Expr< A, T, Dim0_0, Dim0_1, Dim0_2, Dim0_3, i0, j0, k0, l0 > &, const Ddg_Expr< B, U, Dim1_01, Dim1_23, i1, j1, k1, l1 > &rhs, const int N0, const int N1, const int N2, const int N3)
template<class A , class T , class B , class U , int Dim0_0, int Dim0_1, int Dim1_0, int Dim1_1, char i0, char j0, char i1, char j1>
U &	permute_ref (const Tensor2_Expr< A, T, Dim0_0, Dim0_1, i0, j0 > &, const Tensor2_Expr< B, U, Dim1_0, Dim1_1, i1, j1 > &rhs, const int N0, const int N1)
	DECLARE_PROMOTE (int, double, double)
	DECLARE_PROMOTE (double, int, double)
	DECLARE_PROMOTE (int, std::complex< double >, std::complex< double >)
	DECLARE_PROMOTE (std::complex< double >, int, std::complex< double >)
	DECLARE_PROMOTE (double, std::complex< double >, std::complex< double >)
	DECLARE_PROMOTE (std::complex< double >, double, std::complex< double >)
	DECLARE_PROMOTE (adouble, double, adouble)
	DECLARE_PROMOTE (double, adouble, adouble)
	DECLARE_PROMOTE (adouble, int, adouble)
	DECLARE_PROMOTE (int, adouble, adouble)
	DECLARE_PROMOTE (adtl::adouble, double, adtl::adouble)
	DECLARE_PROMOTE (double, adtl::adouble, adtl::adouble)
	DECLARE_PROMOTE (adtl::adouble, int, adtl::adouble)
	DECLARE_PROMOTE (int, adtl::adouble, adtl::adouble)
	DECLARE_PROMOTE (adub, double, adub)
	DECLARE_PROMOTE (double, adub, adub)
	DECLARE_PROMOTE (adub, int, adub)
	DECLARE_PROMOTE (int, adub, adub)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Riemann_Expr< Riemann_minus_Riemann< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, i, j, k, l >	operator- (const Riemann_Expr< A, T, Dim, i, j, k, l > &a, const Riemann_Expr< B, U, Dim, i, j, k, l > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Riemann_Expr< Riemann_plus_Riemann< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, i, j, k, l >	operator+ (const Riemann_Expr< A, T, Dim, i, j, k, l > &a, const Riemann_Expr< B, U, Dim, i, j, k, l > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
promote< T, U >::V	operator* (const Riemann_Expr< A, T, Dim, i, j, k, l > &a, const Ddg_Expr< B, U, Dim, Dim, i, j, k, l > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
promote< T, U >::V	operator* (const Ddg_Expr< B, U, Dim, Dim, i, j, k, l > &b, const Riemann_Expr< A, T, Dim, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
promote< T, U >::V	operator* (const Riemann_Expr< A, T, Dim, i, j, k, l > &a, const Ddg_Expr< B, U, Dim, Dim, i, k, j, l > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
promote< T, U >::V	operator* (const Ddg_Expr< B, U, Dim, Dim, i, j, k, l > &b, const Riemann_Expr< A, T, Dim, i, k, j, l > &a)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Tensor3_antisymmetric_Expr< Riemann_times_Tensor1_0< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, Dim, j, k, l >	operator* (const Riemann_Expr< A, T, Dim, i, j, k, l > &a, const Tensor1_Expr< B, U, Dim, i > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Tensor3_antisymmetric_Expr< Riemann_times_Tensor1_0< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, Dim, j, k, l >	operator* (const Tensor1_Expr< B, U, Dim, i > &b, const Riemann_Expr< A, T, Dim, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Tensor3_antisymmetric_Expr< Riemann_times_Tensor1_1< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, Dim, i, k, l >	operator* (const Riemann_Expr< A, T, Dim, i, j, k, l > &a, const Tensor1_Expr< B, U, Dim, j > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Tensor3_antisymmetric_Expr< Riemann_times_Tensor1_1< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, Dim, i, k, l >	operator* (const Tensor1_Expr< B, U, Dim, j > &b, const Riemann_Expr< A, T, Dim, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Tensor3_antisymmetric_Expr< Riemann_times_Tensor1_2< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, Dim, i, j, l >	operator* (const Riemann_Expr< A, T, Dim, i, j, k, l > &a, const Tensor1_Expr< B, U, Dim, k > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Tensor3_antisymmetric_Expr< Riemann_times_Tensor1_2< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, Dim, i, j, l >	operator* (const Tensor1_Expr< B, U, Dim, k > &b, const Riemann_Expr< A, T, Dim, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Tensor3_antisymmetric_Expr< Riemann_times_Tensor1_3< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, Dim, i, j, k >	operator* (const Riemann_Expr< A, T, Dim, i, j, k, l > &a, const Tensor1_Expr< B, U, Dim, l > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Tensor3_antisymmetric_Expr< Riemann_times_Tensor1_3< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, Dim, i, j, k >	operator* (const Tensor1_Expr< B, U, Dim, l > &b, const Riemann_Expr< A, T, Dim, i, j, k, l > &a)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Riemann_times_Tensor2_symmetric_0< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, j, l >	operator* (const Riemann_Expr< A, T, Dim, i, j, k, l > &a, const Tensor2_symmetric_Expr< B, U, Dim, i, k > &b)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Tensor2_symmetric_Expr< Riemann_times_Tensor2_symmetric_0< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, j, l >	operator* (const Tensor2_symmetric_Expr< B, U, Dim, i, k > &b, const Riemann_Expr< A, T, Dim, i, j, k, l > &a)
template<class A , class B , char i, char j, char k, char l>
double	operator* (const Riemann_Expr< A, i, j, k, l > &a, const Tensor4_Expr< B, i, j, k, l > &b)
template<class A , class B , char i, char j, char k, char l>
double	operator* (const Tensor4_Expr< B, i, j, k, l > &b, const Riemann_Expr< A, i, j, k, l > &a)
template<class T , int Dim, char i>
const Tensor1_Expr< const d_boundary_Tensor0< T, Dim, i >, typename promote< T, double >::V, Dim, i >	d_boundary (const Tensor0< T * > &a, const Index< i, Dim > index, const Tensor1< int, Dim > &d_ijk, const Tensor1< double, Dim > &d_xyz, const Tensor2< bool, Dim, 2 > &boundary)
template<class T >
promote< T, double >::V	d_one_sided (const Tensor0< T * > &a, const Number< 0 > n1, const int &di, const int &dj, const int &dk, const double &dx, const double &dy, const double &dz)
template<class T >
promote< T, double >::V	d_one_sided (const Tensor0< T * > &a, const Number< 1 > n1, const int &di, const int &dj, const int &dk, const double &dx, const double &dy, const double &dz)
template<class T >
promote< T, double >::V	d_one_sided (const Tensor0< T * > &a, const Number< 2 > n1, const int &di, const int &dj, const int &dk, const double &dx, const double &dy, const double &dz)
template<class T , int Dim, char i, char j>
const Tensor2_symmetric_Expr< const dd_boundary_Tensor0< T, Dim, i, j >, typename promote< T, double >::V, Dim, i, j >	dd_boundary (const Tensor0< T * > &a, const Index< i, Dim > index3, const Index< j, Dim > index4, const Tensor1< int, Dim > &d_ijk, const Tensor1< double, Dim > &d_xyz, const Tensor2< bool, Dim, 2 > &boundary)
template<class T , int Dim, char i, char j>
const Tensor2_symmetric_Expr< const ddTensor0< T, Dim, i, j >, typename promote< T, double >::V, Dim, i, j >	dd (const Tensor0< T * > &a, const Index< i, Dim > index1, const Index< j, Dim > index2, const Tensor1< int, Dim > &d_ijk, const Tensor1< double, Dim > &d_xyz)
template<class T >
promote< T, double >::V	diffusion (const Tensor0< T * > &a, const int &di, const int &dj, const int &dk, const double &dx)
template<class T , int Dim, char i>
const Tensor1_Expr< const dTensor0< T, Dim, i >, typename promote< T, double >::V, Dim, i >	d (const Tensor0< T * > &a, const Index< i, Dim > index, const Tensor1< int, Dim > &d_ijk, const Tensor1< double, Dim > &d_xyz)
template<class T >
promote< T, double >::V	interpolate (const Tensor0< T * > &a, const int &di, const int &dj, const int &dk, const int &i0, const int &j0, const int &k0, const double distance[3], const double conjugate[3])
template<class T , int Dim, char i, int axis>
const Tensor1_Expr< const d_one_sided_Tensor1< T, Dim, i, axis >, typename promote< T, double >::V, Dim, i >	d_one_sided (const Tensor1< T *, Dim > &a, const Number< axis > n1, const Index< i, Dim > index1, const int &di, const int &dj, const int &dk, const double &dx, const double &dy, const double &dz)
template<class T , int Dim0, int Dim12, char i, char j, char k>
const Dg_Expr< const ddTensor1< T, Dim0, Dim12, i, j, k >, typename promote< T, double >::V, Dim0, Dim12, i, j, k >	dd (const Tensor1< T *, Dim0 > &a, const Index< k, Dim0 > index0, const Index< i, Dim12 > index1, const Index< j, Dim12 > index2, const Tensor1< int, Dim12 > &d_ijk, const Tensor1< double, Dim12 > &d_xyz)
template<class T , int Dim, char i>
const Tensor1_Expr< const diffusion_Tensor1< T, Dim, i >, typename promote< T, double >::V, Dim, i >	diffusion (const Tensor1< T *, Dim > &a, const Index< i, Dim > index1, const int &di, const int &dj, const int &dk, const double &dx)
template<class T , int Dim0, int Dim1, char i, char j>
const Tensor2_Expr< const dTensor1< T, Dim0, Dim1, i, j >, typename promote< T, double >::V, Dim0, Dim1, i, j >	d (const Tensor1< T *, Dim0 > &a, const Index< i, Dim0 > index1, const Index< j, Dim1 > index2, const Tensor1< int, Dim1 > &d_ijk, const Tensor1< double, Dim1 > &d_xyz)
template<class A , class T , class U , int Dim, char i>
Tensor1_Expr< generic_minus_Tensor1< A, T, U, Dim, i >, typename promote< T, U >::V, Dim, i >	operator- (const U &d0, const Tensor1_Expr< A, T, Dim, i > &a)
template<class T , int Dim, char i>
const Tensor1_Expr< const interpolate_Tensor1< T, Dim, i >, typename promote< T, double >::V, Dim, i >	interpolate (const Tensor1< T *, Dim > &a, const Index< i, Dim > index1, const int &di, const int &dj, const int &dk, const int &i0, const int &j0, const int &k0, const double distance[3], const double conjugate[3])
template<class A , class T , int Dim, char i>
Tensor1_Expr< minus_Tensor1< A, T, Dim, i >, T, Dim, i >	operator- (const Tensor1_Expr< A, T, Dim, i > &a)
template<class A , class B , class T , class U , int Dim, char i>
Tensor1_Expr< Tensor1_and_Tensor1< A, B, T, U, Dim, i >, typename promote< T, U >::V, Dim, i >	operator& (const Tensor1_Expr< A, T, Dim, i > &a, const Tensor1_Expr< B, U, Dim, i > &b)
template<class A , class B , class T , class U , int Dim, char i, char j>
Tensor2_symmetric_Expr< Tensor1_carat_Tensor1< A, B, T, U, Dim, i, j >, typename promote< T, U >::V, Dim, i, j >	operator^ (const Tensor1_Expr< A, T, Dim, i > &a, const Tensor1_Expr< B, U, Dim, j > &b)
template<class A , class T , class U , int Dim, char i>
Tensor1_Expr< Tensor1_divide_generic< A, T, U, Dim, i >, typename promote< T, U >::V, Dim, i >	operator/ (const Tensor1_Expr< A, T, Dim, i > &a, const U &d0)
template<class A , class B , class U , int Dim, char i, int Current_Dim>
void	T1_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim, i > result, const Number< Current_Dim > &)
template<class A , class B , class U , int Dim, char i>
void	T1_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim, i > result, const Number< 1 > &)
template<class A , class B , class U , int Dim, char i, int Current_Dim>
void	T1_equals_addolc_left_T1 (A &iter, const Tensor1_Expr< B, U, Dim, i > result, const Number< Current_Dim > &)
template<class A , class B , class U , int Dim, char i>
void	T1_equals_addolc_left_T1 (A &iter, const Tensor1_Expr< B, U, Dim, i > result, const Number< 1 > &)
template<class A , class B , class U , int Dim, char i, int Current_Dim>
void	T1_equals_addolc_right_T1 (A &iter, Tensor1_Expr< B, U, Dim, i > result, const Number< Current_Dim > &)
template<class A , class B , class U , int Dim, char i>
void	T1_equals_addolc_right_T1 (A &iter, Tensor1_Expr< B, U, Dim, i > result, const Number< 1 > &)
template<class A , class B , class U , int Dim, char i, int Current_Dim>
void	T1_plus_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim, i > result, const Number< Current_Dim > &)
template<class A , class B , class U , int Dim, char i>
void	T1_plus_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim, i > result, const Number< 1 > &)
template<class A , class B , class U , int Dim, char i, int Current_Dim>
void	T1_minus_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim, i > result, const Number< Current_Dim > &)
template<class A , class B , class U , int Dim, char i>
void	T1_minus_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim, i > result, const Number< 1 > &)
template<class A , class U , int Current_Dim>
void	T1_equals_generic (A &iter, const U &u, const Number< Current_Dim > &)
template<class A , class U >
void	T1_equals_generic (A &iter, const U &u, const Number< 1 > &)
template<class A , class U , int Current_Dim>
void	T1_plus_equals_generic (A &iter, const U &u, const Number< Current_Dim > &)
template<class A , class U >
void	T1_plus_equals_generic (A &iter, const U &u, const Number< 1 > &)
template<class A , class U , int Current_Dim>
void	T1_minus_equals_generic (A &iter, const U &u, const Number< Current_Dim > &)
template<class A , class U >
void	T1_minus_equals_generic (A &iter, const U &u, const Number< 1 > &)
template<class A , class U , int Current_Dim>
void	T1_times_equals_generic (A &iter, const U &u, const Number< Current_Dim > &)
template<class A , class U >
void	T1_times_equals_generic (A &iter, const U &u, const Number< 1 > &)
template<class A , class U , int Current_Dim>
void	T1_divide_equals_generic (A &iter, const U &u, const Number< Current_Dim > &)
template<class A , class U >
void	T1_divide_equals_generic (A &iter, const U &u, const Number< 1 > &)
template<class A , class B , class U , int Dim1, char i, int N, int Current_Dim>
void	T2rhs0_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim1, i > &result, const Number< N > &N1, const Number< Current_Dim > &)
template<class A , class B , class U , int Dim1, char i, int N>
void	T2rhs0_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim1, i > &result, const Number< N > &, const Number< 1 > &)
template<class A , class B , class U , int Dim1, char i, int N, int Current_Dim>
void	T2rhs0_plus_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim1, i > &result, const Number< N > &N1, const Number< Current_Dim > &)
template<class A , class B , class U , int Dim1, char i, int N>
void	T2rhs0_plus_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim1, i > &result, const Number< N > &, const Number< 1 > &)
template<class A , class B , class U , int Dim1, char i, int N, int Current_Dim>
void	T2rhs0_minus_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim1, i > &result, const Number< N > &N1, const Number< Current_Dim > &)
template<class A , class B , class U , int Dim1, char i, int N>
void	T2rhs0_minus_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim1, i > &result, const Number< N > &, const Number< 1 > &)
template<class A , class U , int N, int Current_Dim>
void	T2rhs0_equals_generic (A &iter, const U &u, const Number< N > &N1, const Number< Current_Dim > &)
template<class A , class U , int N>
void	T2rhs0_equals_generic (A &iter, const U &u, const Number< N > &, const Number< 1 > &)
template<class A , class U , int N, int Current_Dim>
void	T2rhs0_plus_equals_generic (A &iter, const U &u, const Number< N > &N1, const Number< Current_Dim > &)
template<class A , class U , int N>
void	T2rhs0_plus_equals_generic (A &iter, const U &u, const Number< N > &, const Number< 1 > &)
template<class A , class U , int N, int Current_Dim>
void	T2rhs0_minus_equals_generic (A &iter, const U &u, const Number< N > &N1, const Number< Current_Dim > &)
template<class A , class U , int N>
void	T2rhs0_minus_equals_generic (A &iter, const U &u, const Number< N > &, const Number< 1 > &)
template<class A , class U , int N, int Current_Dim>
void	T2rhs0_times_equals_generic (A &iter, const U &u, const Number< N > &N1, const Number< Current_Dim > &)
template<class A , class U , int N>
void	T2rhs0_times_equals_generic (A &iter, const U &u, const Number< N > &, const Number< 1 > &)
template<class A , class U , int N, int Current_Dim>
void	T2rhs0_divide_equals_generic (A &iter, const U &u, const Number< N > &N1, const Number< Current_Dim > &)
template<class A , class U , int N>
void	T2rhs0_divide_equals_generic (A &iter, const U &u, const Number< N > &, const Number< 1 > &)
template<class A , class B , class U , int Dim1, char i, int N, int Current_Dim>
void	T2rhs1_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim1, i > &result, const Number< N > &N1, const Number< Current_Dim > &)
template<class A , class B , class U , int Dim1, char i, int N>
void	T2rhs1_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim1, i > &result, const Number< N > &, const Number< 1 > &)
template<class A , class B , class U , int Dim1, char i, int N, int Current_Dim>
void	T2rhs1_plus_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim1, i > &result, const Number< N > &N1, const Number< Current_Dim > &)
template<class A , class B , class U , int Dim1, char i, int N>
void	T2rhs1_plus_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim1, i > &result, const Number< N > &, const Number< 1 > &)
template<class A , class B , class U , int Dim1, char i, int N, int Current_Dim>
void	T2rhs1_minus_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim1, i > &result, const Number< N > &N1, const Number< Current_Dim > &)
template<class A , class B , class U , int Dim1, char i, int N>
void	T2rhs1_minus_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim1, i > &result, const Number< N > &, const Number< 1 > &)
template<class A , class U , int N, int Current_Dim>
void	T2rhs1_equals_generic (A &iter, const U &u, const Number< N > &N1, const Number< Current_Dim > &)
template<class A , class U , int N>
void	T2rhs1_equals_generic (A &iter, const U &u, const Number< N > &, const Number< 1 > &)
template<class A , class U , int N, int Current_Dim>
void	T2rhs1_plus_equals_generic (A &iter, const U &u, const Number< N > &N1, const Number< Current_Dim > &)
template<class A , class U , int N>
void	T2rhs1_plus_equals_generic (A &iter, const U &u, const Number< N > &, const Number< 1 > &)
template<class A , class U , int N, int Current_Dim>
void	T2rhs1_minus_equals_generic (A &iter, const U &u, const Number< N > &N1, const Number< Current_Dim > &)
template<class A , class U , int N>
void	T2rhs1_minus_equals_generic (A &iter, const U &u, const Number< N > &, const Number< 1 > &)
template<class A , class U , int N, int Current_Dim>
void	T2rhs1_times_equals_generic (A &iter, const U &u, const Number< N > &N1, const Number< Current_Dim > &)
template<class A , class U , int N>
void	T2rhs1_times_equals_generic (A &iter, const U &u, const Number< N > &, const Number< 1 > &)
template<class A , class U , int N, int Current_Dim>
void	T2rhs1_divide_equals_generic (A &iter, const U &u, const Number< N > &N1, const Number< Current_Dim > &)
template<class A , class U , int N>
void	T2rhs1_divide_equals_generic (A &iter, const U &u, const Number< N > &, const Number< 1 > &)
template<class A , class B , class U , int Dim, char i, int N1, int N2, int Current_Dim>
void	T3dgrhs12_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim, i > &result, const Number< N1 > &NN1, const Number< N2 > &NN2, const Number< Current_Dim > &)
template<class A , class B , class U , int Dim, char i, int N1, int N2>
void	T3dgrhs12_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim, i > &result, const Number< N1 > &, const Number< N2 > &, const Number< 1 > &)
template<class A , class B , class U , int Dim, char i, int N1, int N2, int Current_Dim>
void	T3dgrhs01_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim, i > &result, const Number< N1 > &NN1, const Number< N2 > &NN2, const Number< Current_Dim > &)
template<class A , class B , class U , int Dim, char i, int N1, int N2>
void	T3dgrhs01_equals_T1 (A &iter, const Tensor1_Expr< B, U, Dim, i > &result, const Number< N1 > &, const Number< N2 > &, const Number< 1 > &)
template<class A , class T , class U , int Dim, char i>
Tensor1_Expr< Tensor1_minus_generic< A, T, U, Dim, i >, typename promote< T, U >::V, Dim, i >	operator- (const Tensor1_Expr< A, T, Dim, i > &a, const U &d0)
template<class A , class B , class T , class U , char i, int Dim>
Tensor1_Expr< Tensor1_minus_Tensor1< A, B, T, U, Dim, i >, typename promote< T, U >::V, Dim, i >	operator- (const Tensor1_Expr< A, T, Dim, i > &a, const Tensor1_Expr< B, U, Dim, i > &b)
template<class A , class B , class T , class U , int Dim, char i, char j>
Tensor2_symmetric_Expr< Tensor1_or_Tensor1< A, B, T, U, Dim, i, j >, typename promote< T, U >::V, Dim, i, j >	operator|| (const Tensor1_Expr< A, T, Dim, i > &a, const Tensor1_Expr< B, U, Dim, j > &b)
template<class A , class T , class U , int Dim, char i>
Tensor1_Expr< Tensor1_plus_generic< A, T, U, Dim, i >, typename promote< T, U >::V, Dim, i >	operator+ (const Tensor1_Expr< A, T, Dim, i > &a, const U &d0)
template<class A , class T , class U , int Dim, char i>
Tensor1_Expr< Tensor1_plus_generic< A, T, U, Dim, i >, typename promote< T, U >::V, Dim, i >	operator+ (const U &d0, const Tensor1_Expr< A, T, Dim, i > &a)
template<class A , class B , class T , class U , char i, int Dim>
Tensor1_Expr< Tensor1_plus_Tensor1< A, B, T, U, Dim, i >, typename promote< T, U >::V, Dim, i >	operator+ (const Tensor1_Expr< A, T, Dim, i > &a, const Tensor1_Expr< B, U, Dim, i > &b)
template<class A , class T , class U , int Dim, char i>
Tensor1_Expr< Tensor1_times_generic< A, T, U, Dim, i >, typename promote< T, U >::V, Dim, i >	operator* (const Tensor1_Expr< A, T, Dim, i > &a, const U &d0)
template<class A , class T , class U , int Dim, char i>
Tensor1_Expr< Tensor1_times_generic< A, T, U, Dim, i >, typename promote< T, U >::V, Dim, i >	operator* (const U &d0, const Tensor1_Expr< A, T, Dim, i > &a)
template<class A , class B , class T , class U , int Dim, char i, int Current_Dim>
promote< T, U >::V	T1_times_T1 (const Tensor1_Expr< A, T, Dim, i > &a, const Tensor1_Expr< B, U, Dim, i > &b, const Number< Current_Dim > &)
template<class A , class B , class T , class U , int Dim, char i>
promote< T, U >::V	T1_times_T1 (const Tensor1_Expr< A, T, Dim, i > &a, const Tensor1_Expr< B, U, Dim, i > &b, const Number< 1 > &)
template<class A , class B , class T , class U , int Dim, char i>
promote< T, U >::V	operator* (const Tensor1_Expr< A, T, Dim, i > &a, const Tensor1_Expr< B, U, Dim, i > &b)
template<class A , class B , class T , class U , int Dim0, int Dim1, char i, char j>
Tensor2_Expr< Tensor1_times_Tensor1< A, B, T, U, Dim0, Dim1, i, j >, typename promote< T, U >::V, Dim0, Dim1, i, j >	operator* (const Tensor1_Expr< A, T, Dim0, i > &a, const Tensor1_Expr< B, U, Dim1, j > &b)
template<class T , int Tensor_Dim>
std::ostream &	operator<< (std::ostream &os, const FTensor::Tensor1< T, Tensor_Dim > &t)
template<class T , int Tensor_Dim>
std::istream &	operator>> (std::istream &is, FTensor::Tensor1< T, Tensor_Dim > &t)
template<class A , class T , int Dim0, int Dim1, char i, char j>
Tensor2_Expr< conj_Tensor2< A, T, Dim0, Dim1, i, j >, T, Dim0, Dim1, i, j >	conj (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a)
template<class A , class T , int Dim0, int Dim1, char i, char j>
Tensor2_Expr< minus_Tensor2< A, T, Dim0, Dim1, i, j >, T, Dim0, Dim1, i, j >	operator- (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a)
template<class A , class B , class T , class U , int Dim0_0, int Dim1_0, int Dim0_1, char i0, char j0, char i1>
auto	operator& (const Tensor2_Expr< A, T, Dim0_0, Dim1_0, i0, j0 > &a, const Tensor1_Expr< B, U, Dim0_1, i1 > &b)
template<class A , class B , class T , class U , int Dim0_0, int Dim1_0, int Dim0_1, char i0, char j0, char i1>
auto	operator& (const Tensor1_Expr< B, U, Dim0_1, i1 > &b, const Tensor2_Expr< A, T, Dim0_0, Dim1_0, i0, j0 > &a)
template<class A , class B , class T , class U , int Dim0_0, int Dim1_0, int Dim0_1, int Dim1_1, char i0, char j0, char i1, char j1>
auto	operator^ (const Tensor2_Expr< A, T, Dim0_0, Dim1_0, i0, j0 > &a, const Tensor2_Expr< B, U, Dim0_1, Dim1_1, i1, j1 > &b)
template<class A , class T , class U , int Dim0, int Dim1, char i, char j>
Tensor2_Expr< Tensor2_divide_generic< A, T, U, Dim0, Dim1, i, j >, typename promote< T, U >::V, Dim0, Dim1, i, j >	operator/ (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a, const U &d0)
template<class A , class B , class T , class U , int Dim0_0, int Dim1_0, int Dim0_1, int Dim1_1, char i0, char j0, char i1, char j1>
Tensor2_Expr< Tensor2_minus_Tensor2< A, B, T, U, Dim0_0, Dim1_0, Dim0_1, Dim1_1, i0, j0, i1, j1 >, typename promote< T, U >::V, Dim0_0, Dim1_0, i0, j0 >	operator- (const Tensor2_Expr< A, T, Dim0_0, Dim1_0, i0, j0 > &a, const Tensor2_Expr< B, U, Dim0_1, Dim1_1, i1, j1 > &b)
template<class A , class B , class T , class U , int Dim0_0, int Dim1_0, int Dim0_1, int Dim1_1, char i0, char j0, char i1, char j1>
Tensor2_symmetric_Expr< Tensor2_or_Tensor2< A, B, T, U, Dim0_0, Dim1_0, Dim0_1, Dim1_1, i0, j0, i1, j1 >, typename promote< T, U >::V, Dim0_0, i0, j0 >	operator|| (const Tensor2_Expr< A, T, Dim0_0, Dim1_0, i0, j0 > &a, const Tensor2_Expr< B, U, Dim0_1, Dim1_1, i1, j1 > &b)
template<class A , class B , class T , class U , int Dim0_0, int Dim1_0, int Dim0_1, int Dim1_1, char i0, char j0, char i1, char j1>
Tensor2_Expr< Tensor2_plus_Tensor2< A, B, T, U, Dim0_0, Dim1_0, Dim0_1, Dim1_1, i0, j0, i1, j1 >, typename promote< T, U >::V, Dim0_0, Dim1_0, i0, j0 >	operator+ (const Tensor2_Expr< A, T, Dim0_0, Dim1_0, i0, j0 > &a, const Tensor2_Expr< B, U, Dim0_1, Dim1_1, i1, j1 > &b)
template<class A , class T , class U , int Dim0, int Dim1, char i, char j>
Tensor2_Expr< Tensor2_times_generic< A, T, U, Dim0, Dim1, i, j >, typename promote< T, U >::V, Dim0, Dim1, i, j >	operator* (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a, const U &d0)
template<class A , class T , class U , int Dim0, int Dim1, char i, char j>
Tensor2_Expr< Tensor2_times_generic< A, T, U, Dim0, Dim1, i, j >, typename promote< T, U >::V, Dim0, Dim1, i, j >	operator* (const U &d0, const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a)
template<class A , class B , class T , class U , int Dim0, int Dim1, char i, char j>
auto	operator* (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a, const Tensor1_Expr< B, U, Dim1, j > &b)
template<class A , class B , class T , class U , int Dim0, int Dim1, char i, char j>
auto	operator* (const Tensor1_Expr< B, U, Dim1, j > &b, const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a)
template<class A , class B , class T , class U , int Dim0, int Dim1, char i, char j>
auto	operator* (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a, const Tensor1_Expr< B, U, Dim0, i > &b)
template<class A , class B , class T , class U , int Dim0, int Dim1, char i, char j>
auto	operator* (const Tensor1_Expr< B, U, Dim0, i > &b, const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a)
template<class A , class B , class T , class U , int Dim0, int Dim1, int Dim2, char i, char j, char k>
Tensor3_Expr< Tensor2_times_Tensor1< A, B, T, U, Dim0, Dim1, Dim2, i, j, k >, typename promote< T, U >::V, Dim0, Dim1, Dim2, i, j, k >	operator* (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a, const Tensor1_Expr< B, U, Dim2, k > &b)
template<class A , class B , class T , class U , int Dim0, int Dim1, int Dim2, char i, char j, char k>
Tensor3_Expr< Tensor2_times_Tensor1< A, B, T, U, Dim0, Dim1, Dim2, i, j, k >, typename promote< T, U >::V, Dim0, Dim1, Dim2, i, j, k >	operator* (const Tensor1_Expr< B, U, Dim2, k > &b, const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a)
template<class A , class B , class T , class U , int Dim0, int Dim1, char i, char j, int Current_Dim0, int Current_Dim1>
promote< T, U >::V	T2_times_T2 (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a, const Tensor2_Expr< B, U, Dim0, Dim1, i, j > &b, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &)
template<class A , class B , class T , class U , int Dim0, int Dim1, char i, char j, int Current_Dim1>
promote< T, U >::V	T2_times_T2 (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a, const Tensor2_Expr< B, U, Dim0, Dim1, i, j > &b, const Number< 1 > &, const Number< Current_Dim1 > &)
template<class A , class B , class T , class U , int Dim0, int Dim1, char i, char j>
promote< T, U >::V	T2_times_T2 (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a, const Tensor2_Expr< B, U, Dim0, Dim1, i, j > &b, const Number< 1 > &, const Number< 1 > &)
template<class A , class B , class T , class U , int Dim0, int Dim1, char i, char j>
promote< T, U >::V	operator* (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a, const Tensor2_Expr< B, U, Dim0, Dim1, i, j > &b)
template<class A , class B , class T , class U , int Dim0, int Dim1, char i, char j, int Current_Dim0, int Current_Dim1>
promote< T, U >::V	T2_times_switched_T2 (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a, const Tensor2_Expr< B, U, Dim1, Dim0, j, i > &b, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &)
template<class A , class B , class T , class U , int Dim0, int Dim1, char i, char j, int Current_Dim1>
promote< T, U >::V	T2_times_switched_T2 (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a, const Tensor2_Expr< B, U, Dim1, Dim0, j, i > &b, const Number< 1 > &, const Number< Current_Dim1 > &)
template<class A , class B , class T , class U , int Dim0, int Dim1, char i, char j>
promote< T, U >::V	T2_times_switched_T2 (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a, const Tensor2_Expr< B, U, Dim1, Dim0, j, i > &b, const Number< 1 > &, const Number< 1 > &)
template<class A , class B , class T , class U , int Dim0, int Dim1, char i, char j>
promote< T, U >::V	operator* (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a, const Tensor2_Expr< B, U, Dim1, Dim0, j, i > &b)
template<class A , class B , class T , class U , int Dim0, int Dim1, int Dim2, char i, char j, char k>
Tensor2_Expr< Tensor2_times_Tensor2_10< A, B, T, U, Dim0, Dim1, Dim2, i, j, k >, typename promote< T, U >::V, Dim0, Dim2, i, k >	operator* (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a, const Tensor2_Expr< B, U, Dim1, Dim2, j, k > &b)
template<class A , class B , class T , class U , int Dim0, int Dim1, int Dim2, char i, char j, char k>
Tensor2_Expr< Tensor2_times_Tensor2_11< A, B, T, U, Dim0, Dim1, Dim2, i, j, k >, typename promote< T, U >::V, Dim0, Dim2, i, k >	operator* (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a, const Tensor2_Expr< B, U, Dim2, Dim1, k, j > &b)
template<class A , class B , class T , class U , int Dim0, int Dim1, int Dim2, char i, char j, char k>
Tensor2_Expr< Tensor2_times_Tensor2_00< A, B, T, U, Dim0, Dim1, Dim2, i, j, k >, typename promote< T, U >::V, Dim0, Dim2, i, k >	operator* (const Tensor2_Expr< A, T, Dim1, Dim0, j, i > &a, const Tensor2_Expr< B, U, Dim1, Dim2, j, k > &b)
template<class A , class B , class T , class U , int Dim0, int Dim1, int Dim2, char i, char j, char k>
Tensor2_Expr< Tensor2_times_Tensor2_01< A, B, T, U, Dim0, Dim1, Dim2, i, j, k >, typename promote< T, U >::V, Dim0, Dim2, i, k >	operator* (const Tensor2_Expr< A, T, Dim1, Dim0, j, i > &a, const Tensor2_Expr< B, U, Dim2, Dim1, k, j > &b)
template<class A , class B , class T , class U , int Dim0, int Dim1, int Dim2, int Dim3, char i, char j, char k, char l>
Tensor4_Expr< Tensor2_times_Tensor2< A, B, T, U, Dim0, Dim1, Dim2, Dim3, i, j, k, l >, typename promote< T, U >::V, Dim0, Dim1, Dim2, Dim3, i, j, k, l >	operator* (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a, const Tensor2_Expr< B, U, Dim2, Dim3, k, l > &b)
template<class A , class B , class T , int Dim0, int Dim1, char i, char j>
Tensor2_Expr< transform_Tensor2< A, B, T, Dim0, Dim1, i, j >, T, Dim0, Dim1, i, j >	transform (const Tensor2_Expr< A, T, Dim0, Dim1, i, j > &a, B function)
template<class T , int Tensor_Dim0, int Tensor_Dim1>
std::ostream &	Tensor2_ostream_row (std::ostream &os, const FTensor::Tensor2< T, Tensor_Dim0, Tensor_Dim1 > &t, const int &i)
template<class T , int Tensor_Dim0, int Tensor_Dim1>
std::ostream &	operator<< (std::ostream &os, const FTensor::Tensor2< T, Tensor_Dim0, Tensor_Dim1 > &t)
template<class T , int Tensor_Dim0, int Tensor_Dim1>
std::istream &	Tensor2_istream_row (std::istream &is, FTensor::Tensor2< T, Tensor_Dim0, Tensor_Dim1 > &t, const int &i)
template<class T , int Tensor_Dim0, int Tensor_Dim1>
std::istream &	operator>> (std::istream &is, FTensor::Tensor2< T, Tensor_Dim0, Tensor_Dim1 > &t)
template<class T , int Tensor_Dim>
std::ostream &	Tensor2_antisymmetric_ostream_row (std::ostream &os, const FTensor::Tensor2_antisymmetric< T, Tensor_Dim > &t, const int &i)
template<class T , int Tensor_Dim>
std::istream &	Tensor2_antisymmetric_istream_row (std::istream &is, FTensor::Tensor2_antisymmetric< T, Tensor_Dim > &t, const int &i)
template<class T , int Dim01, int Dim2, char i, char j, char k>
const Dg_Expr< const d_boundary_Tensor2_symmetric< T, Dim01, Dim2, i, j, k >, typename promote< T, double >::V, Dim01, Dim2, i, j, k >	d_boundary (const Tensor2_symmetric< T *, Dim01 > &a, const Index< i, Dim01 > index1, const Index< j, Dim01 > index2, const Index< k, Dim2 > index3, const Tensor1< int, Dim2 > &d_ijk, const Tensor1< double, Dim2 > &d_xyz, const Tensor2< bool, Dim2, 2 > &boundary)
template<class T , int Dim, char i, char j, int axis>
const Tensor2_symmetric_Expr< const d_one_sided_Tensor2_symmetric< T, Dim, i, j, axis >, typename promote< T, double >::V, Dim, i, j >	d_one_sided (const Tensor2_symmetric< T *, Dim > &a, const Number< axis > n1, const Index< i, Dim > index1, const Index< j, Dim > index2, const int &di, const int &dj, const int &dk, const double &dx, const double &dy, const double &dz)
template<class T , int Dim01, int Dim23, char i, char j, char k, char l>
const Ddg_Expr< const dd_boundary_Tensor2_symmetric< T, Dim01, Dim23, i, j, k, l >, typename promote< T, double >::V, Dim01, Dim23, i, j, k, l >	dd_boundary (const Tensor2_symmetric< T *, Dim01 > &a, const Index< i, Dim01 > index1, const Index< j, Dim01 > index2, const Index< k, Dim23 > index3, const Index< l, Dim23 > index4, const Tensor1< int, Dim23 > &d_ijk, const Tensor1< double, Dim23 > &d_xyz, const Tensor2< bool, Dim23, 2 > &boundary)
template<class T , int Dim01, int Dim23, char i, char j, char k, char l>
const Ddg_Expr< const ddTensor2_symmetric< T, Dim01, Dim23, i, j, k, l >, typename promote< T, double >::V, Dim01, Dim23, i, j, k, l >	dd (const Tensor2_symmetric< T *, Dim01 > &a, const Index< i, Dim01 > index1, const Index< j, Dim01 > index2, const Index< k, Dim23 > index3, const Index< l, Dim23 > index4, const Tensor1< int, Dim23 > &d_ijk, const Tensor1< double, Dim23 > &d_xyz)
template<class T , int Dim, char i, char j>
const Tensor2_symmetric_Expr< const diffusion_Tensor2_symmetric< T, Dim, i, j >, typename promote< T, double >::V, Dim, i, j >	diffusion (const Tensor2_symmetric< T *, Dim > &a, const Index< i, Dim > index1, const Index< j, Dim > index2, const int &di, const int &dj, const int &dk, const double &dx)
template<class T , int Dim01, int Dim2, char i, char j, char k>
const Dg_Expr< const dTensor2_symmetric< T, Dim01, Dim2, i, j, k >, typename promote< T, double >::V, Dim01, Dim2, i, j, k >	d (const Tensor2_symmetric< T *, Dim01 > &a, const Index< i, Dim01 > index1, const Index< j, Dim01 > index2, const Index< k, Dim2 > index3, const Tensor1< int, Dim2 > &d_ijk, const Tensor1< double, Dim2 > &d_xyz)
template<class A , class T , class U , int Dim, char i, char j>
Tensor2_symmetric_Expr< generic_minus_Tensor2_symmetric< A, T, U, Dim, i, j >, typename promote< T, U >::V, Dim, i, j >	operator- (const U &d0, const Tensor2_symmetric_Expr< A, T, Dim, i, j > &a)
template<class T , int Dim, char i, char j>
const Tensor2_symmetric_Expr< const interpolate_Tensor2_symmetric< T, Dim, i, j >, typename promote< T, double >::V, Dim, i, j >	interpolate (const Tensor2_symmetric< T *, Dim > &a, const Index< i, Dim > index1, const Index< j, Dim > index2, const int &di, const int &dj, const int &dk, const int &i0, const int &j0, const int &k0, const double distance[3], const double conjugate[3])
template<class A , class T , int Dim, char i, char j>
Tensor2_symmetric_Expr< minus_Tensor2_symmetric< A, T, Dim, i, j >, T, Dim, i, j >	operator- (const Tensor2_symmetric_Expr< A, T, Dim, i, j > &a)
template<class A , class B , class T , class U , int Dim_0, int Dim_1, char i0, char j0, char i1, char j1>
Tensor2_symmetric_Expr< Tensor2_symmetric_and_Tensor2_symmetric< A, B, T, U, Dim_0, Dim_1, i0, j0, i1, j1 >, typename promote< T, U >::V, Dim_0, i0, j0 >	operator& (const Tensor2_symmetric_Expr< A, T, Dim_0, i0, j0 > &a, const Tensor2_symmetric_Expr< B, U, Dim_1, i1, j1 > &b)
template<class A , class B , class T , class U , int Dim_0, int Dim0_1, int Dim1_1, char i0, char j0, char i1, char j1>
auto	operator^ (const Tensor2_symmetric_Expr< A, T, Dim_0, i0, j0 > &a, const Tensor2_Expr< B, U, Dim0_1, Dim1_1, i1, j1 > &b)
template<class A , class B , class T , class U , int Dim_0, int Dim0_1, int Dim1_1, char i0, char j0, char i1, char j1>
auto	operator^ (const Tensor2_Expr< B, U, Dim0_1, Dim1_1, i1, j1 > &b, const Tensor2_symmetric_Expr< A, T, Dim_0, i0, j0 > &a)
template<class A , class B , class T , class U , int Dim, char i, char j, char k, char l>
Ddg_Expr< Tensor2_symmetric_carat_Tensor2_symmetric< A, B, T, U, Dim, i, j, k, l >, typename promote< T, U >::V, Dim, Dim, i, j, k, l >	operator^ (const Tensor2_symmetric_Expr< A, T, Dim, i, k > &a, const Tensor2_symmetric_Expr< B, U, Dim, j, l > &b)
template<class A , class T , class U , int Dim, char i, char j>
Tensor2_symmetric_Expr< Tensor2_symmetric_divide_generic< A, T, U, Dim, i, j >, typename promote< T, U >::V, Dim, i, j >	operator/ (const Tensor2_symmetric_Expr< A, T, Dim, i, j > &a, const U &d0)
template<class A , class B , class U , int Dim, char i, char j, int Current_Dim0, int Current_Dim1>
void	T2s_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim, i, j > &result, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &)
template<class A , class B , class U , int Dim, char i, char j, int Current_Dim1>
void	T2s_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim, i, j > &result, const Number< 1 > &, const Number< Current_Dim1 > &)
template<class A , class B , class U , int Dim, char i, char j>
void	T2s_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim, i, j > &result, const Number< 1 > &, const Number< 1 > &)
template<class A , class B , class U , int Dim, char i, char j, int Current_Dim0, int Current_Dim1>
void	T2s_equals_adolc_left_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim, i, j > &result, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &)
template<class A , class B , class U , int Dim, char i, char j, int Current_Dim1>
void	T2s_equals_adolc_left_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim, i, j > &result, const Number< 1 > &, const Number< Current_Dim1 > &)
template<class A , class B , class U , int Dim, char i, char j>
void	T2s_equals_adolc_left_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim, i, j > &result, const Number< 1 > &, const Number< 1 > &)
template<class A , class B , class U , int Dim, char i, char j, int Current_Dim0, int Current_Dim1>
void	T2s_plus_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim, i, j > &result, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &)
template<class A , class B , class U , int Dim, char i, char j, int Current_Dim1>
void	T2s_plus_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim, i, j > &result, const Number< 1 > &, const Number< Current_Dim1 > &)
template<class A , class B , class U , int Dim, char i, char j>
void	T2s_plus_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim, i, j > &result, const Number< 1 > &, const Number< 1 > &)
template<class A , class B , class U , int Dim, char i, char j, int Current_Dim0, int Current_Dim1>
void	T2s_minus_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim, i, j > &result, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &)
template<class A , class B , class U , int Dim, char i, char j, int Current_Dim1>
void	T2s_minus_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim, i, j > &result, const Number< 1 > &, const Number< Current_Dim1 > &)
template<class A , class B , class U , int Dim, char i, char j>
void	T2s_minus_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim, i, j > &result, const Number< 1 > &, const Number< 1 > &)
template<class A , class B , class U , int Dim, char i, char j, int Current_Dim0, int Current_Dim1>
void	T2s_and_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim, i, j > &result, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &)
template<class A , class B , class U , int Dim, char i, char j, int Current_Dim1>
void	T2s_and_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim, i, j > &result, const Number< 1 > &, const Number< Current_Dim1 > &)
template<class A , class B , class U , int Dim, char i, char j>
void	T2s_and_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim, i, j > &result, const Number< 1 > &, const Number< 1 > &)
template<class A , class U , int Current_Dim0, int Current_Dim1>
void	T2s_equals_generic (A &iter, const U &u, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &)
template<class A , class U , int Current_Dim1>
void	T2s_equals_generic (A &iter, const U &u, const Number< 1 > &, const Number< Current_Dim1 > &)
template<class A , class U >
void	T2s_equals_generic (A &iter, const U &u, const Number< 1 > &, const Number< 1 > &)
template<class A , class U , int Current_Dim0, int Current_Dim1>
void	T2s_plus_equals_generic (A &iter, const U &u, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &)
template<class A , class U , int Current_Dim1>
void	T2s_plus_equals_generic (A &iter, const U &u, const Number< 1 > &, const Number< Current_Dim1 > &)
template<class A , class U >
void	T2s_plus_equals_generic (A &iter, const U &u, const Number< 1 > &, const Number< 1 > &)
template<class A , class U , int Current_Dim0, int Current_Dim1>
void	T2s_minus_equals_generic (A &iter, const U &u, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &)
template<class A , class U , int Current_Dim1>
void	T2s_minus_equals_generic (A &iter, const U &u, const Number< 1 > &, const Number< Current_Dim1 > &)
template<class A , class U >
void	T2s_minus_equals_generic (A &iter, const U &u, const Number< 1 > &, const Number< 1 > &)
template<class A , class U , int Current_Dim0, int Current_Dim1>
void	T2s_times_equals_generic (A &iter, const U &u, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &)
template<class A , class U , int Current_Dim1>
void	T2s_times_equals_generic (A &iter, const U &u, const Number< 1 > &, const Number< Current_Dim1 > &)
template<class A , class U >
void	T2s_times_equals_generic (A &iter, const U &u, const Number< 1 > &, const Number< 1 > &)
template<class A , class U , int Current_Dim0, int Current_Dim1>
void	T2s_divide_equals_generic (A &iter, const U &u, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &)
template<class A , class U , int Current_Dim1>
void	T2s_divide_equals_generic (A &iter, const U &u, const Number< 1 > &, const Number< Current_Dim1 > &)
template<class A , class U >
void	T2s_divide_equals_generic (A &iter, const U &u, const Number< 1 > &, const Number< 1 > &)
template<class A , class B , class U , int Dim01, char i, char j, int N, int Current_Dim0, int Current_Dim1>
void	T3dgrhs2_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim01, i, j > &result, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &, const Number< N > &)
template<class A , class B , class U , int Dim01, char i, char j, int N, int Current_Dim1>
void	T3dgrhs2_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim01, i, j > &result, const Number< 1 > &, const Number< Current_Dim1 > &, const Number< N > &)
template<class A , class B , class U , int Dim01, char i, char j, int N>
void	T3dgrhs2_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim01, i, j > &result, const Number< 1 > &, const Number< 1 > &, const Number< N > &)
template<class A , class B , class U , int Dim01, char i, char j, int N0, int N1, int Current_Dim0, int Current_Dim1>
void	T4ddgrhs01_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim01, i, j > &result, const Number< Current_Dim0 > &, const Number< Current_Dim1 > &, const Number< N0 > &, const Number< N1 > &)
template<class A , class B , class U , int Dim01, char i, char j, int N0, int N1, int Current_Dim1>
void	T4ddgrhs01_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim01, i, j > &result, const Number< 1 > &, const Number< Current_Dim1 > &, const Number< N0 > &, const Number< N1 > &)
template<class A , class B , class U , int Dim01, char i, char j, int N0, int N1>
void	T4ddgrhs01_equals_T2s (A &iter, const Tensor2_symmetric_Expr< B, U, Dim01, i, j > &result, const Number< 1 > &, const Number< 1 > &, const Number< N0 > &, const Number< N1 > &)
template<class A , class T , class U , int Dim, char i, char j>
Tensor2_symmetric_Expr< Tensor2_symmetric_minus_generic< A, T, U, Dim, i, j >, typename promote< T, U >::V, Dim, i, j >	operator- (const Tensor2_symmetric_Expr< A, T, Dim, i, j > &a, const U &d0)
template<class A , class B , class T , class U , int Dim_0, int Dim0_1, int Dim1_1, char i0, char j0, char i1, char j1>
Tensor2_Expr< Tensor2_symmetric_minus_Tensor2< A, B, T, U, Dim_0, Dim0_1, Dim1_1, i0, j0, i1, j1 >, typename promote< T, U >::V, Dim_0, Dim_0, i0, j0 >	operator- (const Tensor2_symmetric_Expr< A, T, Dim_0, i0, j0 > &a, const Tensor2_Expr< B, U, Dim0_1, Dim1_1, i1, j1 > &b)
template<class A , class B , class T , class U , int Dim0_0, int Dim1_0, int Dim_1, char i0, char j0, char i1, char j1>
Tensor2_Expr< Tensor2_minus_Tensor2_symmetric< A, B, T, U, Dim0_0, Dim1_0, Dim_1, i0, j0, i1, j1 >, typename promote< T, U >::V, Dim0_0, Dim1_0, i0, j0 >	operator- (const Tensor2_Expr< A, T, Dim0_0, Dim1_0, i0, j0 > &a, const Tensor2_symmetric_Expr< B, U, Dim_1, i1, j1 > &b)
template<class A , class B , class T , class U , int Dim_0, int Dim_1, char i0, char j0, char i1, char j1>
Tensor2_symmetric_Expr< Tensor2_symmetric_minus_Tensor2_symmetric< A, B, T, U, Dim_0, Dim_1, i0, j0, i1, j1 >, typename promote< T, U >::V, Dim_0, i0, j0 >	operator- (const Tensor2_symmetric_Expr< A, T, Dim_0, i0, j0 > &a, const Tensor2_symmetric_Expr< B, U, Dim_1, i1, j1 > &b)
template<class A , class B , class T , class U , int Dim_0, int Dim_1, char i0, char j0, char i1, char j1>
Tensor2_symmetric_Expr< Tensor2_symmetric_mod_Tensor2_symmetric< A, B, T, U, Dim_0, Dim_1, i0, j0, i1, j1 >, typename promote< T, U >::V, Dim_0, i0, j0 >	operator% (const Tensor2_symmetric_Expr< A, T, Dim_0, i0, j0 > &a, const Tensor2_symmetric_Expr< B, U, Dim_1, i1, j1 > &b)
template<class A , class T , class U , int Dim, char i, char j>
auto	operator+ (const Tensor2_symmetric_Expr< A, T, Dim, i, j > &a, const U &d0)
template<class A , class T , class U , int Dim, char i, char j>
auto	operator+ (const U &d0, const Tensor2_symmetric_Expr< A, T, Dim, i, j > &a)
template<class A , class B , class T , class U , int Dim_0, int Dim0_1, int Dim1_1, char i0, char j0, char i1