/* ****************************************************************************** * * * 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 02.01.2018 // #include #include namespace sd { namespace ops { namespace helpers { ////////////////////////////////////////////////////////////////////////// HHsequence::HHsequence(NDArray* vectors, NDArray* coeffs, const char type) : _vectors(vectors), _coeffs(coeffs) { _diagSize = math::sd_min(_vectors->sizeAt(0), _vectors->sizeAt(1)); _shift = 0; _type = type; } ////////////////////////////////////////////////////////////////////////// template void HHsequence::mulLeft_(NDArray* matrix) { const int rows = _vectors->sizeAt(0); const int cols = _vectors->sizeAt(1); const int inRows = matrix->sizeAt(0); NDArray matrixRef = *matrix; NDArray vectorsRef = *_vectors; for (int i = _diagSize - 1; i >= 0; --i) { if (_type == 'u') { NDArray *blockPtr = matrixRef({inRows - rows + _shift + i, inRows, 0, 0}, true); NDArray block = *blockPtr; NDArray *vectorPtr = vectorsRef({i + 1 + _shift, rows, i, i + 1}, true); NDArray vector = *vectorPtr; Householder::mulLeft(block, vector, _coeffs->t(i)); delete blockPtr; delete vectorPtr; } else { NDArray *blockPtr = matrixRef({inRows - cols + _shift + i, inRows, 0, 0}, true); NDArray block = *blockPtr; NDArray *vectorPtr = vectorsRef({i, i + 1, i + 1 + _shift, cols}, true); NDArray vector = *vectorPtr; Householder::mulLeft(block, vector, _coeffs->t(i)); delete blockPtr; delete vectorPtr; } } } ////////////////////////////////////////////////////////////////////////// NDArray HHsequence::getTail(const int idx) const { int first = idx + 1 + _shift; NDArray vectorsRef = *_vectors; if (_type == 'u') { NDArray *tailPtr = vectorsRef({first, -1, idx, idx + 1}, true); NDArray tail = *tailPtr; delete tailPtr; return tail; } else { NDArray *tailPtr = vectorsRef({idx, idx + 1, first, -1}, true); NDArray tail = *tailPtr; delete tailPtr; return tail; } } ////////////////////////////////////////////////////////////////////////// template void HHsequence::applyTo_(NDArray* dest) { int size = _type == 'u' ? _vectors->sizeAt(0) : _vectors->sizeAt(1); NDArray *originalDest = dest; NDArray destRef = *dest; std::vector sizeShape = {size,size}; if (dest->rankOf() != 2 || (dest->sizeAt(0) != size && dest->sizeAt(1) != size)) { dest = new NDArray(dest->ordering(), sizeShape, dest->dataType(), dest->getContext()); destRef = *dest; } dest->setIdentity(); for (int k = _diagSize - 1; k >= 0; --k) { int curNum = size - k - _shift; if (curNum < 1 || (k + 1 + _shift) >= size) continue; NDArray *blockPtr = destRef({dest->sizeAt(0) - curNum, dest->sizeAt(0), dest->sizeAt(1) - curNum, dest->sizeAt(1)}, true); NDArray block = *blockPtr; NDArray tailK = getTail(k); Householder::mulLeft(block, tailK, _coeffs->t(k)); delete blockPtr; } if(originalDest != dest) { delete dest; } } ////////////////////////////////////////////////////////////////////////// void HHsequence::applyTo(NDArray* dest) { auto xType = _coeffs->dataType(); BUILD_SINGLE_SELECTOR(xType, applyTo_, (dest), SD_FLOAT_TYPES); } ////////////////////////////////////////////////////////////////////////// void HHsequence::mulLeft(NDArray* matrix) { auto xType = _coeffs->dataType(); BUILD_SINGLE_SELECTOR(xType, mulLeft_, (matrix), SD_FLOAT_TYPES); } BUILD_SINGLE_TEMPLATE( void HHsequence::applyTo_, (sd::NDArray * dest), SD_FLOAT_TYPES); BUILD_SINGLE_TEMPLATE( void HHsequence::mulLeft_, (NDArray * matrix), SD_FLOAT_TYPES); } // namespace helpers } // namespace ops } // namespace sd