/**
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* @license
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* Copyright 2020 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 * as tf from '../index';
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import { ALL_ENVS, describeWithFlags } from '../jasmine_util';
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import { expectArraysClose } from '../test_util';
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describeWithFlags('rsqrt', ALL_ENVS, () => {
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it('rsqrt', async () => {
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const a = tf.tensor1d([2, 4]);
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const r = tf.rsqrt(a);
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expectArraysClose(await r.data(), [1 / Math.sqrt(2), 1 / Math.sqrt(4)]);
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});
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it('rsqrt propagates NaNs', async () => {
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const a = tf.tensor1d([1, NaN]);
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const r = tf.rsqrt(a);
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expectArraysClose(await r.data(), [1 / Math.sqrt(1), NaN]);
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});
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it('gradients: Scalar', async () => {
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const a = tf.scalar(4);
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const dy = tf.scalar(8);
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const da = tf.grad(a => tf.rsqrt(a))(a, dy);
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expect(da.shape).toEqual(a.shape);
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expect(da.dtype).toEqual('float32');
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expectArraysClose(await da.data(), [(-1 * 8) / (2 * Math.pow(4, 1.5))]);
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});
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it('gradients: Scalar', async () => {
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const a = tf.scalar(4);
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const dy = tf.scalar(8);
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const da = tf.grad(a => tf.rsqrt(a.clone()).clone())(a, dy);
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expect(da.shape).toEqual(a.shape);
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expect(da.dtype).toEqual('float32');
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expectArraysClose(await da.data(), [(-1 * 8) / (2 * Math.pow(4, 1.5))]);
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});
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it('gradients: Tensor1D', async () => {
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const a = tf.tensor1d([1, 2, 3, 5]);
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const dy = tf.tensor1d([1, 2, 3, 4]);
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const gradients = tf.grad(a => tf.rsqrt(a))(a, dy);
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expect(gradients.shape).toEqual(a.shape);
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expect(gradients.dtype).toEqual('float32');
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expectArraysClose(await gradients.data(), [
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-1 * 1 / (2 * Math.pow(1, 1.5)), -1 * 2 / (2 * Math.pow(2, 1.5)),
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-1 * 3 / (2 * Math.pow(3, 1.5)), -1 * 4 / (2 * Math.pow(5, 1.5))
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], 1e-1);
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});
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it('gradients: Tensor2D', async () => {
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const a = tf.tensor2d([3, 1, 2, 3], [2, 2]);
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const dy = tf.tensor2d([1, 2, 3, 4], [2, 2]);
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const gradients = tf.grad(a => tf.rsqrt(a))(a, dy);
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expect(gradients.shape).toEqual(a.shape);
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expect(gradients.dtype).toEqual('float32');
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expectArraysClose(await gradients.data(), [
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-1 * 1 / (2 * Math.pow(3, 1.5)), -1 * 2 / (2 * Math.pow(1, 1.5)),
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-1 * 3 / (2 * Math.pow(2, 1.5)), -1 * 4 / (2 * Math.pow(3, 1.5))
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], 1e-1);
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});
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it('throws when passed a non-tensor', () => {
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expect(() => tf.rsqrt({}))
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.toThrowError(/Argument 'x' passed to 'rsqrt' must be a Tensor/);
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});
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it('accepts a tensor-like object', async () => {
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const r = tf.rsqrt([2, 4]);
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expectArraysClose(await r.data(), [1 / Math.sqrt(2), 1 / Math.sqrt(4)]);
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});
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it('throws for string tensor', () => {
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expect(() => tf.rsqrt('q'))
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.toThrowError(/Argument 'x' passed to 'rsqrt' must be float32/);
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});
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it('throws for int32 tensor', () => {
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expect(() => tf.rsqrt(tf.tensor1d([1], 'int32')))
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.toThrowError(/Argument 'x' passed to 'rsqrt' must be float32/);
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});
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});
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* @license\n * Copyright 2020 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 * as tf from '../index';\nimport {ALL_ENVS, describeWithFlags} from '../jasmine_util';\nimport {expectArraysClose} from '../test_util';\n\ndescribeWithFlags('rsqrt', ALL_ENVS, () => {\n  it('rsqrt', async () => {\n    const a = tf.tensor1d([2, 4]);\n    const r = tf.rsqrt(a);\n    expectArraysClose(await r.data(), [1 / Math.sqrt(2), 1 / Math.sqrt(4)]);\n  });\n\n  it('rsqrt propagates NaNs', async () => {\n    const a = tf.tensor1d([1, NaN]);\n    const r = tf.rsqrt(a);\n    expectArraysClose(await r.data(), [1 / Math.sqrt(1), NaN]);\n  });\n\n  it('gradients: Scalar', async () => {\n    const a = tf.scalar(4);\n    const dy = tf.scalar(8);\n\n    const da = tf.grad(a => tf.rsqrt(a))(a, dy);\n\n    expect(da.shape).toEqual(a.shape);\n    expect(da.dtype).toEqual('float32');\n    expectArraysClose(await da.data(), [(-1 * 8) / (2 * Math.pow(4, 1.5))]);\n  });\n\n  it('gradients: Scalar', async () => {\n    const a = tf.scalar(4);\n    const dy = tf.scalar(8);\n\n    const da = tf.grad(a => tf.rsqrt(a.clone()).clone())(a, dy);\n\n    expect(da.shape).toEqual(a.shape);\n    expect(da.dtype).toEqual('float32');\n    expectArraysClose(await da.data(), [(-1 * 8) / (2 * Math.pow(4, 1.5))]);\n  });\n\n  it('gradients: Tensor1D', async () => {\n    const a = tf.tensor1d([1, 2, 3, 5]);\n    const dy = tf.tensor1d([1, 2, 3, 4]);\n\n    const gradients = tf.grad(a => tf.rsqrt(a))(a, dy);\n\n    expect(gradients.shape).toEqual(a.shape);\n    expect(gradients.dtype).toEqual('float32');\n    expectArraysClose(\n        await gradients.data(),\n        [\n          -1 * 1 / (2 * Math.pow(1, 1.5)), -1 * 2 / (2 * Math.pow(2, 1.5)),\n          -1 * 3 / (2 * Math.pow(3, 1.5)), -1 * 4 / (2 * Math.pow(5, 1.5))\n        ],\n        1e-1);\n  });\n\n  it('gradients: Tensor2D', async () => {\n    const a = tf.tensor2d([3, 1, 2, 3], [2, 2]);\n    const dy = tf.tensor2d([1, 2, 3, 4], [2, 2]);\n\n    const gradients = tf.grad(a => tf.rsqrt(a))(a, dy);\n\n    expect(gradients.shape).toEqual(a.shape);\n    expect(gradients.dtype).toEqual('float32');\n    expectArraysClose(\n        await gradients.data(),\n        [\n          -1 * 1 / (2 * Math.pow(3, 1.5)), -1 * 2 / (2 * Math.pow(1, 1.5)),\n          -1 * 3 / (2 * Math.pow(2, 1.5)), -1 * 4 / (2 * Math.pow(3, 1.5))\n        ],\n        1e-1);\n  });\n\n  it('throws when passed a non-tensor', () => {\n    expect(() => tf.rsqrt({} as tf.Tensor))\n        .toThrowError(/Argument 'x' passed to 'rsqrt' must be a Tensor/);\n  });\n\n  it('accepts a tensor-like object', async () => {\n    const r = tf.rsqrt([2, 4]);\n    expectArraysClose(await r.data(), [1 / Math.sqrt(2), 1 / Math.sqrt(4)]);\n  });\n\n  it('throws for string tensor', () => {\n    expect(() => tf.rsqrt('q'))\n        .toThrowError(/Argument 'x' passed to 'rsqrt' must be float32/);\n  });\n\n  it('throws for int32 tensor', () => {\n    expect(() => tf.rsqrt(tf.tensor1d([1], 'int32')))\n        .toThrowError(/Argument 'x' passed to 'rsqrt' must be float32/);\n  });\n});\n"]}
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