/**
 * @license
 * Copyright 2021 Google LLC. All Rights Reserved.
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 * =============================================================================
 */
import { backend_util, Einsum, util } from '@tensorflow/tfjs-core';
import { multiply } from './Multiply';
import { reshape } from './Reshape';
import { sum } from './Sum';
import { transpose } from './Transpose';
export function einsum(args) {
    const { inputs, backend, attrs } = args;
    const { equation } = attrs;
    const tensors = inputs;
    const { allDims, summedDims, idDims } = backend_util.decodeEinsumEquation(equation, tensors.length);
    backend_util.checkEinsumDimSizes(allDims.length, idDims, tensors);
    const { path, steps } = backend_util.getEinsumComputePath(summedDims, idDims);
    const nSteps = steps.length;
    let out = null;
    let numDimsRemaining = allDims.length;
    const tensorsToDispose = [];
    for (let i = 0; i < nSteps; ++i) {
        for (const idTerm of steps[i]) {
            const { permutationIndices: perm, expandDims: dimsToExpand } = backend_util.getEinsumPermutation(numDimsRemaining, idDims[idTerm]);
            let x;
            if (backend_util.isIdentityPermutation(perm)) {
                x = tensors[idTerm];
            }
            else {
                x = transpose({ inputs: { x: tensors[idTerm] }, backend, attrs: { perm } });
                tensorsToDispose.push(x);
            }
            const targetShape = x.shape.slice();
            for (let k = 0; k < dimsToExpand.length; ++k) {
                targetShape.splice(dimsToExpand[k], 0, 1);
            }
            if (!util.arraysEqual(x.shape, targetShape)) {
                x = reshape({ inputs: { x }, backend, attrs: { shape: targetShape } });
                tensorsToDispose.push(x);
            }
            if (out === null) {
                out = x;
            }
            else {
                // tslint:disable-next-line: no-unnecessary-type-assertion
                out = multiply({ inputs: { a: x, b: out }, backend });
                tensorsToDispose.push(out);
            }
        }
        if (i < nSteps - 1) {
            if (path[i] >= 0) {
                out = sum({
                    inputs: { x: out },
                    backend,
                    attrs: {
                        axis: path[i] - (allDims.length - numDimsRemaining),
                        keepDims: false
                    }
                });
                tensorsToDispose.push(out);
            }
            numDimsRemaining--;
        }
    }
    // Clean up intermediate tensors.
    for (const tensorInfo of tensorsToDispose) {
        if (tensorInfo === out) {
            continue;
        }
        backend.disposeIntermediateTensorInfo(tensorInfo);
    }
    return out;
}
export const einsumConfig = {
    kernelName: Einsum,
    backendName: 'cpu',
    kernelFunc: einsum
};
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All Rights Reserved.\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n *\n * Unless required by applicable law or agreed to in writing, software\n * distributed under the License is distributed on an \"AS IS\" BASIS,\n * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n * See the License for the specific language governing permissions and\n * limitations under the License.\n * =============================================================================\n */\n\nimport {backend_util, Einsum, EinsumAttrs, EinsumInputs, KernelConfig, KernelFunc, Tensor, TensorInfo, util} from '@tensorflow/tfjs-core';\n\nimport {MathBackendCPU} from '../backend_cpu';\n\nimport {multiply} from './Multiply';\nimport {reshape} from './Reshape';\nimport {sum} from './Sum';\nimport {transpose} from './Transpose';\n\nexport function einsum(\n    args: {inputs: EinsumInputs, backend: MathBackendCPU, attrs: EinsumAttrs}):\n    TensorInfo {\n  const {inputs, backend, attrs} = args;\n  const {equation} = attrs;\n  const tensors = inputs as Tensor[];\n\n  const {allDims, summedDims, idDims} =\n      backend_util.decodeEinsumEquation(equation, tensors.length);\n  backend_util.checkEinsumDimSizes(allDims.length, idDims, tensors);\n  const {path, steps} = backend_util.getEinsumComputePath(summedDims, idDims);\n\n  const nSteps = steps.length;\n  let out: TensorInfo|null = null;\n  let numDimsRemaining = allDims.length;\n  const tensorsToDispose: TensorInfo[] = [];\n  for (let i = 0; i < nSteps; ++i) {\n    for (const idTerm of steps[i]) {\n      const {permutationIndices: perm, expandDims: dimsToExpand} =\n          backend_util.getEinsumPermutation(numDimsRemaining, idDims[idTerm]);\n      let x: TensorInfo;\n      if (backend_util.isIdentityPermutation(perm)) {\n        x = tensors[idTerm];\n      } else {\n        x = transpose({inputs: {x: tensors[idTerm]}, backend, attrs: {perm}});\n        tensorsToDispose.push(x);\n      }\n      const targetShape: number[] = x.shape.slice();\n      for (let k = 0; k < dimsToExpand.length; ++k) {\n        targetShape.splice(dimsToExpand[k], 0, 1);\n      }\n\n      if (!util.arraysEqual(x.shape, targetShape)) {\n        x = reshape({inputs: {x}, backend, attrs: {shape: targetShape}});\n        tensorsToDispose.push(x);\n      }\n      if (out === null) {\n        out = x;\n      } else {\n        // tslint:disable-next-line: no-unnecessary-type-assertion\n        out = multiply({inputs: {a: x, b: out}, backend}) as TensorInfo;\n        tensorsToDispose.push(out);\n      }\n    }\n    if (i < nSteps - 1) {\n      if (path[i] >= 0) {\n        out = sum({\n          inputs: {x: out},\n          backend,\n          attrs: {\n            axis: path[i] - (allDims.length - numDimsRemaining),\n            keepDims: false\n          }\n        });\n        tensorsToDispose.push(out);\n      }\n      numDimsRemaining--;\n    }\n  }\n\n  // Clean up intermediate tensors.\n  for (const tensorInfo of tensorsToDispose) {\n    if (tensorInfo === out) {\n      continue;\n    }\n    backend.disposeIntermediateTensorInfo(tensorInfo);\n  }\n\n  return out;\n}\n\nexport const einsumConfig: KernelConfig = {\n  kernelName: Einsum,\n  backendName: 'cpu',\n  kernelFunc: einsum as unknown as KernelFunc\n};\n"]}