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/* ******************************************************************************
*
*
* 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.
*
* See the NOTICE file distributed with this work for additional
* information regarding copyright ownership.
* 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
******************************************************************************/
//
// Created by Yurii Shyrma on 03.01.2018
//
#ifndef LIBND4J_SVD_H
#define LIBND4J_SVD_H
#include <helpers/hhSequence.h>
#include "array/NDArray.h"
namespace sd {
namespace ops {
namespace helpers {
template <typename T>
class SVD {
public:
int _switchSize = 10;
NDArray _m;
NDArray _s;
NDArray _u;
NDArray _v;
int _diagSize;
bool _transp;
bool _calcU;
bool _calcV;
bool _fullUV;
/**
* constructor
*/
SVD(NDArray& matrix, const int switchSize, const bool calcV, const bool calcU, const bool fullUV);
SVD(NDArray& matrix, const int switchSize, const bool calcV, const bool calcU, const bool fullUV, const char t);
void deflation1(int col1, int shift, int ind, int size);
void deflation2(int col1U, int col1M, int row1W, int col1W, int ind1, int ind2, int size);
void deflation(int col1, int col2, int ind, int row1W, int col1W, int shift);
// FIXME: proper T support required here
T secularEq(const T diff, NDArray& col0, NDArray& diag, NDArray permut, NDArray& diagShifted,
const T shift);
void calcSingVals(NDArray col0, NDArray& diag, NDArray& permut, NDArray& singVals, NDArray& shifts,
NDArray& mus);
void perturb(NDArray col0, NDArray& diag, NDArray permut, NDArray& singVals,
NDArray& shifts, NDArray& mus, NDArray& zhat);
void calcSingVecs(NDArray zhat, NDArray& diag, NDArray perm, NDArray& singVals,
NDArray& shifts, NDArray& mus, NDArray& U, NDArray& V);
void calcBlockSVD(int firstCol, int size, NDArray& U, NDArray& singVals, NDArray& V);
void DivideAndConquer(int col1, int col2, int row1W, int col1W, int shift);
void exchangeUV(HHsequence& hhU, HHsequence& hhV, NDArray& U, NDArray& V);
void evalData(NDArray& matrix);
SD_INLINE NDArray& getS();
SD_INLINE NDArray& getU();
SD_INLINE NDArray& getV();
};
//////////////////////////////////////////////////////////////////////////
template <typename T>
SD_INLINE NDArray& SVD<T>::getS() {
return _s;
}
//////////////////////////////////////////////////////////////////////////
template <typename T>
SD_INLINE NDArray& SVD<T>::getU() {
return _u;
}
//////////////////////////////////////////////////////////////////////////
template <typename T>
SD_INLINE NDArray& SVD<T>::getV() {
return _v;
}
} // namespace helpers
} // namespace ops
} // namespace sd
#endif // LIBND4J_SVD_H