/**
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* @license
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* Copyright 2017 Google LLC. All Rights Reserved.
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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* =============================================================================
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*/
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import { add } from './engine';
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import * as tf from './index';
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import { ALL_ENVS, describeWithFlags } from './jasmine_util';
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import { zerosLike } from './ops/ops';
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import { backpropagateGradients, getFilteredNodesXToY } from './tape';
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import { expectArraysClose } from './test_util';
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describeWithFlags('getFilteredNodesXToY', ALL_ENVS, () => {
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it('no paths from x to y', () => {
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const x = tf.scalar(1);
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const intermediate1 = tf.scalar(0);
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const intermediate2 = tf.scalar(0);
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const y = tf.scalar(2);
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const tape = [
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{
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id: 0,
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kernelName: 'node0',
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inputs: { x },
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outputs: [intermediate1],
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gradient: null
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},
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{
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id: 1,
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kernelName: 'node1',
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inputs: { intermediate2 },
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outputs: [y],
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gradient: null
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}
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];
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const filteredTapeNodes = getFilteredNodesXToY(tape, [x], y);
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expect(filteredTapeNodes.length).toBe(0);
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expect(filteredTapeNodes).toEqual([]);
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});
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it('one operation x => y', () => {
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const x = tf.scalar(1);
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const y = tf.scalar(2);
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const tape = [
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{ id: 0, kernelName: 'node0', inputs: { x }, outputs: [y], gradient: null }
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];
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const filteredTapeNodes = getFilteredNodesXToY(tape, [x], y);
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expect(filteredTapeNodes.length).toBe(1);
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expect(filteredTapeNodes).toEqual(tape);
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});
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it('1 operation [x0, x1] => y, all input paths', () => {
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const x0 = tf.scalar(0);
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const x1 = tf.scalar(1);
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const y = tf.scalar(2);
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const tape = [{
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id: 0,
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kernelName: 'node0',
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inputs: { x0, x1 },
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outputs: [y],
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gradient: null
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}];
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const filteredTapeNodes = getFilteredNodesXToY(tape, [x0, x1], y);
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expect(filteredTapeNodes.length).toBe(1);
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expect(filteredTapeNodes).toEqual(tape);
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});
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it('one operation [x0, x1] => y, one input paths', () => {
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const x0 = tf.scalar(0);
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const x1 = tf.scalar(1);
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const y = tf.scalar(2);
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const tape = [{
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id: 0,
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kernelName: 'node0',
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inputs: { x0, x1 },
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outputs: [y],
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gradient: null
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}];
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const filteredTapeNodes = getFilteredNodesXToY(tape, [x0], y);
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expect(filteredTapeNodes.length).toBe(1);
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// x1 input should be pruned, we don't ask for the gradient of x1.
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expect(filteredTapeNodes[0]).toEqual({
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id: 0,
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kernelName: 'node0',
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inputs: { x0 },
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outputs: [y],
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gradient: null
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});
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});
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it('two operations x => intermediate => y', () => {
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const x = tf.scalar(1);
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const intermediate = tf.scalar(0);
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const y = tf.scalar(2);
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const tape = [
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{
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id: 0,
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kernelName: 'node0',
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inputs: { x },
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outputs: [intermediate],
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gradient: null
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},
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{
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id: 1,
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kernelName: 'node1',
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inputs: { intermediate },
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outputs: [y],
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gradient: null
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}
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];
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const filteredTapeNodes = getFilteredNodesXToY(tape, [x], y);
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expect(filteredTapeNodes.length).toBe(2);
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expect(filteredTapeNodes).toEqual(tape);
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});
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it('two operations [x0, x1], [x2] => ' +
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'intermediate => y', () => {
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const x0 = tf.scalar(1);
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const x1 = tf.scalar(2);
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const x2 = tf.scalar(3);
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const intermediate = tf.scalar(4);
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const y = tf.scalar(2);
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const tape = [
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{
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id: 0,
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kernelName: 'node0',
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inputs: { x0, x1 },
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outputs: [intermediate],
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gradient: null
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},
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{
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id: 1,
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kernelName: 'node1',
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inputs: { x2, intermediate },
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outputs: [y],
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gradient: null
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}
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];
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const filteredTapeNodes = getFilteredNodesXToY(tape, [x0, x1, x2], y);
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expect(filteredTapeNodes.length).toBe(2);
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expect(filteredTapeNodes).toEqual(tape);
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});
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it('x => y and x => orphan', () => {
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const x = tf.scalar(1);
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const orphan = tf.scalar(0);
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const y = tf.scalar(2);
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const tape = [
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{
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id: 0,
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kernelName: 'node0',
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inputs: { x },
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outputs: [orphan],
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gradient: null
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},
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{ id: 1, kernelName: 'node1', inputs: { x }, outputs: [y], gradient: null }
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];
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const filteredTapeNodes = getFilteredNodesXToY(tape, [x], y);
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expect(filteredTapeNodes.length).toBe(1);
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// The orphan should be removed.
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expect(filteredTapeNodes[0]).toEqual(tape[1]);
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});
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it('x => y and orphan => y', () => {
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const x = tf.scalar(1);
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const orphan = tf.scalar(0);
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const y = tf.scalar(2);
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const tape = [{
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id: 0,
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kernelName: 'node0',
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inputs: { x, orphan },
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outputs: [y],
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gradient: null
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}];
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const filteredTapeNodes = getFilteredNodesXToY(tape, [x], y);
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expect(filteredTapeNodes.length).toBe(1);
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// The orphan should be pruned from the node's input.
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expect(filteredTapeNodes[0]).toEqual({
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id: 0,
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kernelName: 'node0',
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inputs: { x },
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outputs: [y],
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gradient: null
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});
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});
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it('1 op with 3 outputs x => y1, y2, y3', () => {
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const x = tf.scalar(1);
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const y1 = tf.scalar(2);
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const y2 = tf.scalar(2);
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const y3 = tf.scalar(2);
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const tape = [{
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id: 0,
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kernelName: 'node0',
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inputs: { x },
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outputs: [y1, y2, y3],
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gradient: null
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}];
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const filteredNodes1 = getFilteredNodesXToY(tape, [x], y1);
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expect(filteredNodes1.length).toBe(1);
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expect(filteredNodes1).toEqual(tape);
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const filteredNodes2 = getFilteredNodesXToY(tape, [x], y2);
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expect(filteredNodes2.length).toBe(1);
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expect(filteredNodes2).toEqual(tape);
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const filteredNodes3 = getFilteredNodesXToY(tape, [x], y3);
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expect(filteredNodes3.length).toBe(1);
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expect(filteredNodes3).toEqual(tape);
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});
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});
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describeWithFlags('backpropagateGradients', ALL_ENVS, () => {
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it('Throws if gradient is not defined', () => {
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const x = tf.scalar(0);
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const y = tf.scalar(1);
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const dy = tf.scalar(1);
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const accumulatedGradientsMap = {};
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accumulatedGradientsMap[y.id] = dy;
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const tape = [
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{ id: 0, kernelName: 'node0', inputs: { x }, outputs: [y], gradient: null }
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];
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expect(() => backpropagateGradients(accumulatedGradientsMap, tape, f => tf.tidy(f), add))
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.toThrowError();
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});
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it('basic backprop with 1 node', async () => {
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const x = tf.scalar(0);
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const y = tf.scalar(1);
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const dy = tf.scalar(1);
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const accumulatedGradientsMap = {};
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accumulatedGradientsMap[y.id] = dy;
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const tape = [{
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id: 0,
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kernelName: 'node0',
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inputs: { x },
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outputs: [y],
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gradient: (dys) => {
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return { x: () => dys[0].add(tf.scalar(1)) };
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}
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}];
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backpropagateGradients(accumulatedGradientsMap, tape, f => tf.tidy(f), add);
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expectArraysClose(await accumulatedGradientsMap[x.id].data(), [2]);
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});
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it('basic backprop with 2 nodes', async () => {
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const x = tf.scalar(0);
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const intermediate = tf.scalar(1);
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const y = tf.scalar(2);
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const dy = tf.scalar(1);
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const accumulatedGradientsMap = {};
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accumulatedGradientsMap[y.id] = dy;
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const tape = [
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{
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id: 0,
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kernelName: 'node0',
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inputs: { x },
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outputs: [intermediate],
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gradient: (dys) => {
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return { x: () => dys[0].add(tf.scalar(1)) };
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}
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},
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{
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id: 1,
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kernelName: 'node1',
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inputs: { intermediate },
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outputs: [y],
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gradient: (dys) => {
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return { intermediate: () => dys[0].add(tf.scalar(1)) };
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}
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}
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];
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backpropagateGradients(accumulatedGradientsMap, tape, f => tf.tidy(f), add);
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// dx = dy + 1 + 1
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expectArraysClose(await accumulatedGradientsMap[x.id].data(), [3]);
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});
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it('basic backprop with a split node accumulates gradients', async () => {
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const x = tf.scalar(0);
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const intermediate1 = tf.scalar(1);
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const intermediate2 = tf.scalar(2);
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const y = tf.scalar(3);
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const dy = tf.scalar(1);
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const accumulatedGradientsMap = {};
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accumulatedGradientsMap[y.id] = dy;
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const tape = [
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{
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id: 0,
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kernelName: 'node0',
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inputs: { x },
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outputs: [intermediate1],
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gradient: (dys) => {
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return { x: () => dys[0].add(tf.scalar(1)) };
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}
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},
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{
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id: 1,
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kernelName: 'node1',
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inputs: { x },
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outputs: [intermediate2],
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gradient: (dys) => {
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return { x: () => dys[0].add(tf.scalar(1)) };
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}
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},
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{
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id: 2,
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kernelName: 'node2',
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inputs: { intermediate1, intermediate2 },
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outputs: [y],
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gradient: (dys) => {
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return {
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intermediate1: () => dys[0].add(tf.scalar(1)),
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intermediate2: () => dys[0].add(tf.scalar(1))
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};
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}
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}
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];
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backpropagateGradients(accumulatedGradientsMap, tape, f => tf.tidy(f), add);
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// dx = dy + 1 + 1 + 1 + 1 + 1
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expectArraysClose(await accumulatedGradientsMap[x.id].data(), [(await dy.data())[0] + 5]);
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});
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it('backprop over 1 node with 3 outputs, w.r.t to the 2nd output', async () => {
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const x = tf.tensor1d([1, 1, 1]);
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const y1 = tf.scalar(1);
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const y2 = tf.scalar(1);
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const y3 = tf.scalar(1);
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const accumulatedGradientsMap = {};
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// Backproping through the 2nd output.
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const dy2 = tf.scalar(5);
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accumulatedGradientsMap[y2.id] = dy2;
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let dys;
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const tape = [{
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id: 0,
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kernelName: 'node0',
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inputs: { x },
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outputs: [y1, y2, y3],
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gradient: (dys_) => {
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dys = dys_.map(dy => dy || zerosLike(y1));
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return { x: () => tf.stack(dys) };
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}
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}];
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backpropagateGradients(accumulatedGradientsMap, tape, f => tf.tidy(f), add);
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expectArraysClose(await accumulatedGradientsMap[x.id].data(), [0, 5, 0]);
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expectArraysClose(await dys[0].data(), [0]);
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expectArraysClose(await dys[1].data(), [5]);
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expectArraysClose(await dys[2].data(), [0]);
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});
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});
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* @license\n * Copyright 2017 Google LLC. 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 {add, ScopeFn} from './engine';\nimport * as tf from './index';\nimport {ALL_ENVS, describeWithFlags} from './jasmine_util';\nimport {zerosLike} from './ops/ops';\nimport {backpropagateGradients, getFilteredNodesXToY, TapeNode} from './tape';\nimport {expectArraysClose} from './test_util';\n\ndescribeWithFlags('getFilteredNodesXToY', ALL_ENVS, () => {\n  it('no paths from x to y', () => {\n    const x = tf.scalar(1);\n    const intermediate1 = tf.scalar(0);\n\n    const intermediate2 = tf.scalar(0);\n    const y = tf.scalar(2);\n\n    const tape: TapeNode[] = [\n      {\n        id: 0,\n        kernelName: 'node0',\n        inputs: {x},\n        outputs: [intermediate1],\n        gradient: null\n      },\n      {\n        id: 1,\n        kernelName: 'node1',\n        inputs: {intermediate2},\n        outputs: [y],\n        gradient: null\n      }\n    ];\n\n    const filteredTapeNodes = getFilteredNodesXToY(tape, [x], y);\n\n    expect(filteredTapeNodes.length).toBe(0);\n    expect(filteredTapeNodes).toEqual([]);\n  });\n\n  it('one operation x => y', () => {\n    const x = tf.scalar(1);\n    const y = tf.scalar(2);\n\n    const tape: TapeNode[] = [\n      {id: 0, kernelName: 'node0', inputs: {x}, outputs: [y], gradient: null}\n    ];\n\n    const filteredTapeNodes = getFilteredNodesXToY(tape, [x], y);\n\n    expect(filteredTapeNodes.length).toBe(1);\n    expect(filteredTapeNodes).toEqual(tape);\n  });\n\n  it('1 operation [x0, x1] => y, all input paths', () => {\n    const x0 = tf.scalar(0);\n    const x1 = tf.scalar(1);\n    const y = tf.scalar(2);\n\n    const tape: TapeNode[] = [{\n      id: 0,\n      kernelName: 'node0',\n      inputs: {x0, x1},\n      outputs: [y],\n      gradient: null\n    }];\n\n    const filteredTapeNodes = getFilteredNodesXToY(tape, [x0, x1], y);\n\n    expect(filteredTapeNodes.length).toBe(1);\n    expect(filteredTapeNodes).toEqual(tape);\n  });\n\n  it('one operation [x0, x1] => y, one input paths', () => {\n    const x0 = tf.scalar(0);\n    const x1 = tf.scalar(1);\n    const y = tf.scalar(2);\n\n    const tape: TapeNode[] = [{\n      id: 0,\n      kernelName: 'node0',\n      inputs: {x0, x1},\n      outputs: [y],\n      gradient: null\n    }];\n\n    const filteredTapeNodes = getFilteredNodesXToY(tape, [x0], y);\n\n    expect(filteredTapeNodes.length).toBe(1);\n    // x1 input should be pruned, we don't ask for the gradient of x1.\n    expect(filteredTapeNodes[0]).toEqual({\n      id: 0,\n      kernelName: 'node0',\n      inputs: {x0},\n      outputs: [y],\n      gradient: null\n    });\n  });\n\n  it('two operations x => intermediate => y', () => {\n    const x = tf.scalar(1);\n    const intermediate = tf.scalar(0);\n    const y = tf.scalar(2);\n\n    const tape: TapeNode[] = [\n      {\n        id: 0,\n        kernelName: 'node0',\n        inputs: {x},\n        outputs: [intermediate],\n        gradient: null\n      },\n      {\n        id: 1,\n        kernelName: 'node1',\n        inputs: {intermediate},\n        outputs: [y],\n        gradient: null\n      }\n    ];\n\n    const filteredTapeNodes = getFilteredNodesXToY(tape, [x], y);\n\n    expect(filteredTapeNodes.length).toBe(2);\n    expect(filteredTapeNodes).toEqual(tape);\n  });\n\n  it('two operations [x0, x1], [x2] => ' +\n         'intermediate => y',\n     () => {\n       const x0 = tf.scalar(1);\n       const x1 = tf.scalar(2);\n       const x2 = tf.scalar(3);\n       const intermediate = tf.scalar(4);\n       const y = tf.scalar(2);\n\n       const tape: TapeNode[] = [\n         {\n           id: 0,\n           kernelName: 'node0',\n           inputs: {x0, x1},\n           outputs: [intermediate],\n           gradient: null\n         },\n         {\n           id: 1,\n           kernelName: 'node1',\n           inputs: {x2, intermediate},\n           outputs: [y],\n           gradient: null\n         }\n       ];\n\n       const filteredTapeNodes = getFilteredNodesXToY(tape, [x0, x1, x2], y);\n\n       expect(filteredTapeNodes.length).toBe(2);\n       expect(filteredTapeNodes).toEqual(tape);\n     });\n\n  it('x => y and x => orphan', () => {\n    const x = tf.scalar(1);\n    const orphan = tf.scalar(0);\n    const y = tf.scalar(2);\n\n    const tape: TapeNode[] = [\n      {\n        id: 0,\n        kernelName: 'node0',\n        inputs: {x},\n        outputs: [orphan],\n        gradient: null\n      },\n      {id: 1, kernelName: 'node1', inputs: {x}, outputs: [y], gradient: null}\n    ];\n\n    const filteredTapeNodes = getFilteredNodesXToY(tape, [x], y);\n\n    expect(filteredTapeNodes.length).toBe(1);\n    // The orphan should be removed.\n    expect(filteredTapeNodes[0]).toEqual(tape[1]);\n  });\n\n  it('x => y and orphan => y', () => {\n    const x = tf.scalar(1);\n    const orphan = tf.scalar(0);\n    const y = tf.scalar(2);\n\n    const tape: TapeNode[] = [{\n      id: 0,\n      kernelName: 'node0',\n      inputs: {x, orphan},\n      outputs: [y],\n      gradient: null\n    }];\n\n    const filteredTapeNodes = getFilteredNodesXToY(tape, [x], y);\n\n    expect(filteredTapeNodes.length).toBe(1);\n    // The orphan should be pruned from the node's input.\n    expect(filteredTapeNodes[0]).toEqual({\n      id: 0,\n      kernelName: 'node0',\n      inputs: {x},\n      outputs: [y],\n      gradient: null\n    });\n  });\n\n  it('1 op with 3 outputs x => y1, y2, y3', () => {\n    const x = tf.scalar(1);\n    const y1 = tf.scalar(2);\n    const y2 = tf.scalar(2);\n    const y3 = tf.scalar(2);\n\n    const tape: TapeNode[] = [{\n      id: 0,\n      kernelName: 'node0',\n      inputs: {x},\n      outputs: [y1, y2, y3],\n      gradient: null\n    }];\n\n    const filteredNodes1 = getFilteredNodesXToY(tape, [x], y1);\n    expect(filteredNodes1.length).toBe(1);\n    expect(filteredNodes1).toEqual(tape);\n\n    const filteredNodes2 = getFilteredNodesXToY(tape, [x], y2);\n    expect(filteredNodes2.length).toBe(1);\n    expect(filteredNodes2).toEqual(tape);\n\n    const filteredNodes3 = getFilteredNodesXToY(tape, [x], y3);\n    expect(filteredNodes3.length).toBe(1);\n    expect(filteredNodes3).toEqual(tape);\n  });\n});\n\ndescribeWithFlags('backpropagateGradients', ALL_ENVS, () => {\n  it('Throws if gradient is not defined', () => {\n    const x = tf.scalar(0);\n    const y = tf.scalar(1);\n\n    const dy = tf.scalar(1);\n\n    const accumulatedGradientsMap: {[tensorId: number]: tf.Tensor} = {};\n    accumulatedGradientsMap[y.id] = dy;\n\n    const tape: TapeNode[] = [\n      {id: 0, kernelName: 'node0', inputs: {x}, outputs: [y], gradient: null}\n    ];\n\n    expect(\n        () => backpropagateGradients(\n            accumulatedGradientsMap, tape,\n            f => tf.tidy(f as ScopeFn<tf.Tensor>), add))\n        .toThrowError();\n  });\n\n  it('basic backprop with 1 node', async () => {\n    const x = tf.scalar(0);\n    const y = tf.scalar(1);\n\n    const dy = tf.scalar(1);\n\n    const accumulatedGradientsMap: {[tensorId: number]: tf.Tensor} = {};\n    accumulatedGradientsMap[y.id] = dy;\n\n    const tape: TapeNode[] = [{\n      id: 0,\n      kernelName: 'node0',\n      inputs: {x},\n      outputs: [y],\n      gradient: (dys: tf.Tensor[]) => {\n        return {x: () => dys[0].add(tf.scalar(1))};\n      }\n    }];\n\n    backpropagateGradients(\n        accumulatedGradientsMap, tape, f => tf.tidy(f as ScopeFn<tf.Tensor>),\n        add);\n\n    expectArraysClose(await accumulatedGradientsMap[x.id].data(), [2]);\n  });\n\n  it('basic backprop with 2 nodes', async () => {\n    const x = tf.scalar(0);\n    const intermediate = tf.scalar(1);\n    const y = tf.scalar(2);\n\n    const dy = tf.scalar(1);\n\n    const accumulatedGradientsMap: {[tensorId: number]: tf.Tensor} = {};\n    accumulatedGradientsMap[y.id] = dy;\n\n    const tape: TapeNode[] = [\n      {\n        id: 0,\n        kernelName: 'node0',\n        inputs: {x},\n        outputs: [intermediate],\n        gradient: (dys: tf.Tensor[]) => {\n          return {x: () => dys[0].add(tf.scalar(1))};\n        }\n      },\n      {\n        id: 1,\n        kernelName: 'node1',\n        inputs: {intermediate},\n        outputs: [y],\n        gradient: (dys: tf.Tensor[]) => {\n          return {intermediate: () => dys[0].add(tf.scalar(1))};\n        }\n      }\n    ];\n\n    backpropagateGradients(\n        accumulatedGradientsMap, tape, f => tf.tidy(f as ScopeFn<tf.Tensor>),\n        add);\n\n    // dx = dy + 1 + 1\n    expectArraysClose(await accumulatedGradientsMap[x.id].data(), [3]);\n  });\n\n  it('basic backprop with a split node accumulates gradients', async () => {\n    const x = tf.scalar(0);\n    const intermediate1 = tf.scalar(1);\n    const intermediate2 = tf.scalar(2);\n    const y = tf.scalar(3);\n\n    const dy = tf.scalar(1);\n\n    const accumulatedGradientsMap: {[tensorId: number]: tf.Tensor} = {};\n    accumulatedGradientsMap[y.id] = dy;\n\n    const tape: TapeNode[] = [\n      {\n        id: 0,\n        kernelName: 'node0',\n        inputs: {x},\n        outputs: [intermediate1],\n        gradient: (dys: tf.Tensor[]) => {\n          return {x: () => dys[0].add(tf.scalar(1))};\n        }\n      },\n      {\n        id: 1,\n        kernelName: 'node1',\n        inputs: {x},\n        outputs: [intermediate2],\n        gradient: (dys: tf.Tensor[]) => {\n          return {x: () => dys[0].add(tf.scalar(1))};\n        }\n      },\n      {\n        id: 2,\n        kernelName: 'node2',\n        inputs: {intermediate1, intermediate2},\n        outputs: [y],\n        gradient: (dys: tf.Tensor[]) => {\n          return {\n            intermediate1: () => dys[0].add(tf.scalar(1)),\n            intermediate2: () => dys[0].add(tf.scalar(1))\n          };\n        }\n      }\n    ];\n\n    backpropagateGradients(\n        accumulatedGradientsMap, tape, f => tf.tidy(f as ScopeFn<tf.Tensor>),\n        add);\n\n    // dx = dy + 1 + 1 + 1 + 1 + 1\n    expectArraysClose(\n        await accumulatedGradientsMap[x.id].data(), [(await dy.data())[0] + 5]);\n  });\n\n  it('backprop over 1 node with 3 outputs, w.r.t to the 2nd output',\n     async () => {\n       const x = tf.tensor1d([1, 1, 1]);\n       const y1 = tf.scalar(1);\n       const y2 = tf.scalar(1);\n       const y3 = tf.scalar(1);\n\n       const accumulatedGradientsMap: {[tensorId: number]: tf.Tensor} = {};\n       // Backproping through the 2nd output.\n       const dy2 = tf.scalar(5);\n       accumulatedGradientsMap[y2.id] = dy2;\n\n       let dys: tf.Scalar[];\n       const tape: TapeNode[] = [{\n         id: 0,\n         kernelName: 'node0',\n         inputs: {x},\n         outputs: [y1, y2, y3],\n         gradient: (dys_: tf.Scalar[]) => {\n           dys = dys_.map(dy => dy || zerosLike(y1));\n           return {x: () => tf.stack(dys)};\n         }\n       }];\n\n       backpropagateGradients(\n           accumulatedGradientsMap, tape, f => tf.tidy(f as ScopeFn<tf.Tensor>),\n           add);\n       expectArraysClose(await accumulatedGradientsMap[x.id].data(), [0, 5, 0]);\n       expectArraysClose(await dys[0].data(), [0]);\n       expectArraysClose(await dys[1].data(), [5]);\n       expectArraysClose(await dys[2].data(), [0]);\n     });\n});\n"]}
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