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/*******************************************************************************
 * Copyright (c) 2015-2018 Skymind, Inc.
 *
 * This program and the accompanying materials are made available under the
 * terms of the Apache License, Version 2.0 which is available at
 * https://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.
 *
 * SPDX-License-Identifier: Apache-2.0
 ******************************************************************************/

package org.nd4j.linalg.api.ops.impl.transforms;

import org.nd4j.autodiff.samediff.SDVariable;
import org.nd4j.autodiff.samediff.SameDiff;
import org.nd4j.imports.NoOpNameFoundException;
import org.nd4j.linalg.api.ndarray.INDArray;
import org.nd4j.linalg.api.ops.BaseTransformOp;

import java.util.Collections;
import java.util.List;

/**
 * Gaussian error function (erf) function, which is defined as
 * 

* erf(x) = 1 / sqrt(pi) * integral_(-x, x) exp(-t^2) dt * * @author [email protected] */ public class Erf extends BaseTransformOp { public Erf(SameDiff sameDiff, SDVariable i_v, boolean inPlace) { super(sameDiff, i_v, inPlace); } public Erf(SameDiff sameDiff, SDVariable i_v, long[] shape, boolean inPlace, Object[] extraArgs) { super(sameDiff, i_v, shape, inPlace, extraArgs); } public Erf(SameDiff sameDiff, SDVariable i_v, Object[] extraArgs) { super(sameDiff, i_v, extraArgs); } public Erf() { } public Erf(INDArray x, INDArray z) { super(x, z); } public Erf(INDArray x, INDArray z, long n) { super(x, z, n); } public Erf(INDArray x, INDArray y, INDArray z, long n) { super(x, y, z, n); } public Erf(INDArray x) { super(x); } @Override public int opNum() { return 78; } @Override public String opName() { return "erf"; } @Override public String onnxName() { throw new NoOpNameFoundException("No onnx op opName found for " + opName()); } @Override public String tensorflowName() { return "Erf"; } @Override public List doDiff(List i_v) { // Derivative of erf(z) is 2 / sqrt(pi) * e^(-z^2) SDVariable gradient = i_v.get(0); SDVariable z = arg(); SDVariable constant = sameDiff.onesLike(gradient).mul(2.0 / Math.sqrt(Math.PI)); SDVariable ret = constant.mul(sameDiff.exp(z.mul(z).mul(-1))).mul(gradient); return Collections.singletonList(ret); } }





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