NEML2
1.4.0
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R3.cxx
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// Copyright 2023, UChicago Argonne, LLC
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// All Rights Reserved
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// Software Name: NEML2 -- the New Engineering material Model Library, version 2
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// By: Argonne National Laboratory
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// OPEN SOURCE LICENSE (MIT)
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//
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// Permission is hereby granted, free of charge, to any person obtaining a copy
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// of this software and associated documentation files (the "Software"), to deal
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// in the Software without restriction, including without limitation the rights
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// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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// copies of the Software, and to permit persons to whom the Software is
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// furnished to do so, subject to the following conditions:
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//
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// The above copyright notice and this permission notice shall be included in
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// all copies or substantial portions of the Software.
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//
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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// THE SOFTWARE.
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#include "neml2/tensors/R3.h"
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#include "neml2/tensors/Scalar.h"
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#include "neml2/tensors/Vec.h"
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#include "neml2/tensors/R2.h"
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namespace
neml2
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{
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R3
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R3::levi_civita
(
const
torch::TensorOptions & options)
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{
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return
R3
(torch::tensor({{{0, 0, 0}, {0, 0, 1}, {0, -1, 0}},
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{{0, 0, -1}, {0, 0, 0}, {1, 0, 0}},
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{{0, 1, 0}, {-1, 0, 0}, {0, 0, 0}}},
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options),
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0);
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}
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Scalar
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R3::operator()
(
TorchSize
i
,
TorchSize
j
,
TorchSize
k
)
const
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{
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return
base_index
({
i
,
j
,
k
});
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}
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R2
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R3::contract_k
(
const
Vec
&
v
)
const
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{
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neml_assert_batch_broadcastable_dbg
(*
this
,
v
);
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return
R2
(torch::einsum(
"...ijk,...k"
, {*
this
,
v
}),
broadcast_batch_dim
(*
this
,
v
));
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}
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}
// namespace neml2
neml2::BatchTensorBase::base_index
BatchTensor base_index(const TorchSlice &indices) const
Return an index sliced on the base dimensions.
Definition
BatchTensorBase.cxx:193
neml2::CrossRef
The wrapper (decorator) for cross-referencing unresolved values at parse time.
Definition
CrossRef.h:52
neml2::R2
A basic R2.
Definition
R2.h:42
neml2::R3
The (logical) full third order tensor.
Definition
R3.h:41
neml2::R3::contract_k
R2 contract_k(const Vec &v) const
R3,Vector->R2 product ijk,k->ij.
Definition
R3.cxx:49
neml2::R3::levi_civita
static R3 levi_civita(const torch::TensorOptions &options=default_tensor_options())
Alternating symbol.
Definition
R3.cxx:33
neml2::R3::operator()
Scalar operator()(TorchSize i, TorchSize j, TorchSize k) const
Accessor.
Definition
R3.cxx:43
neml2::Scalar
The (logical) scalar.
Definition
Scalar.h:38
neml2::Vec
The (logical) vector.
Definition
Vec.h:42
neml2
Definition
CrossRef.cxx:32
neml2::TorchSize
int64_t TorchSize
Definition
types.h:35
neml2::neml_assert_batch_broadcastable_dbg
void neml_assert_batch_broadcastable_dbg(T &&...)
A helper function to assert that (in Debug mode) all tensors are batch-broadcastable.
neml2::broadcast_batch_dim
TorchSize broadcast_batch_dim(T &&...)
The batch dimension after broadcasting.
src
neml2
tensors
R3.cxx
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