/******************************************************************************* * 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 ******************************************************************************/ // // @author Yurii Shyrma (iuriish@yahoo.com), created on 20.04.2018 // #include #include #include #include #include #include #include #include #include namespace nd4j { namespace ops { namespace helpers { ////////////////////////////////////////////////////////////////////////// template static void triuBP_(nd4j::LaunchContext * context, const NDArray& input, const NDArray& gradO, NDArray& gradI, const int diagonal) { auto dOdI = NDArray(&gradO); // dO/dI const_cast(input).fillAsTriangular(0, diagonal, dOdI.sizeAt(-1), 'b', &dOdI); int dLen = dOdI.lengthOf(); auto func = PRAGMA_THREADS_FOR { for (auto i = start; i < stop; i += increment) { if (dOdI.t(i) != static_cast(0.f)) dOdI.t(i) = static_cast(1.f); } }; samediff::Threads::parallel_for(func, 0, dLen); // FIXME: !!! gradI.assign(dOdI * gradO); // chain rule: dLoss/dI = dO/dI * dLoss/dO } void triuBP(nd4j::LaunchContext * context, const NDArray& input, const NDArray& gradO, NDArray& gradI, const int diagonal) { BUILD_SINGLE_SELECTOR(gradO.dataType(), triuBP_, (context, input, gradO, gradI, diagonal), LIBND4J_TYPES); } ////////////////////////////////////////////////////////////////////////// template static void trace_(const NDArray& input, NDArray& output) { const int inRank = input.rankOf(); auto setOfSubArrs = input.allTensorsAlongDimension({inRank-2, inRank-1}); auto func = PRAGMA_THREADS_FOR { for (auto i = start; i < stop; i += increment) output.p(i, setOfSubArrs->at(i)->getTrace()); }; samediff::Threads::parallel_for(func, 0, setOfSubArrs->size()); delete setOfSubArrs; } void trace(nd4j::LaunchContext * context, const NDArray& input, NDArray& output) { BUILD_SINGLE_SELECTOR(input.dataType(), trace_, (input, output), LIBND4J_TYPES); } ////////////////////////////////////////////////////////////////////////// template void randomShuffle_(NDArray& input, NDArray& output, nd4j::graph::RandomGenerator& rng, const bool isInplace) { // check edge cases first int temp; const int firstDim = input.sizeAt(0); if(input.lengthOf() == 1 || firstDim == 1) { if(!isInplace) output.assign(input); } else if (input.isVector() || shape::isLikeVector(input.getShapeInfo(), temp)) { // apply Fisher-Yates shuffle if(isInplace) { //PRAGMA_OMP_PARALLEL_FOR_IF((firstDim-1) > Environment::getInstance()->tadThreshold()) for(int i = firstDim-1; i > 0; --i) { int r = rng.relativeInt(i) % i; if(i == r) continue; T t0 = input.t(i); T t1 = input.t(r); //math::nd4j_swap(input(i), input(r)); input.t(i) = t1; input.t(r) = t0; } } else { std::vector indices(firstDim); std::iota(indices.begin(), indices.end(), 0); output.p(Nd4jLong(0), input.e(0)); // FIXME: parallelism!! for(int i = firstDim-1; i > 0; --i) { int r = rng.relativeInt(i) % i; output.t(i) = input.t(indices[r]); if(i == r) continue; output.t(r) = input.t(indices[i]); math::nd4j_swap(indices[i], indices[r]); } rng.rewindH(firstDim-1); } } else { // evaluate sub-arrays list of input array through all dimensions excluding first one std::vector dimensions = ShapeUtils::evalDimsToExclude(input.rankOf(), {0}); auto subArrsListIn = input.allTensorsAlongDimension(dimensions); // apply Fisher-Yates shuffle if(isInplace) { //PRAGMA_OMP_PARALLEL_FOR_IF((firstDim-1) > Environment::getInstance()->elementwiseThreshold()) for(int i = firstDim - 1; i > 0; --i) { int r = rng.relativeInt(i) % i; if(i == r) continue; subArrsListIn->at(i)->swapUnsafe(*subArrsListIn->at(r)); } } else { // evaluate sub-arrays list of output array through all dimensions excluding first one auto subArrsListOut = output.allTensorsAlongDimension(dimensions); std::vector indices(firstDim); std::iota(indices.begin(), indices.end(), 0); bool isZeroShuffled = false; //PRAGMA_OMP_PARALLEL_FOR_IF((firstDim-1) > Environment::getInstance()->tadThreshold()) for(int i = firstDim - 1; i > 0; --i) { int r = rng.relativeInt(i) % i; subArrsListOut->at(i)->assign(subArrsListIn->at(indices[r])); if(r == 0) isZeroShuffled = true; if(i == r) continue; subArrsListOut->at(r)->assign(subArrsListIn->at(indices[i])); math::nd4j_swap(indices[i], indices[r]); } if(!isZeroShuffled) subArrsListOut->at(0)->assign(subArrsListIn->at(0)); delete subArrsListOut; } rng.rewindH(firstDim-1); delete subArrsListIn; } } void randomShuffle(nd4j::LaunchContext * context, NDArray& input, NDArray& output, nd4j::graph::RandomGenerator& rng, const bool isInplace) { BUILD_SINGLE_SELECTOR(input.dataType(), randomShuffle_, (input, output, rng, isInplace), LIBND4J_TYPES); } ////////////////////////////////////////////////////////////////////////// template void pad_(const int mode, const NDArray& input, const NDArray& paddings, NDArray& output, const NDArray& padValue) { const T* x = input.bufferAsT(); T* z = output.bufferAsT(); const Nd4jLong* xShape = input.shapeOf(); const Nd4jLong* zShape = output.shapeOf(); const int rank = input.rankOf(); // both input and output have the same rank const int rankMinusOne = rank - 1; const auto zLen = output.lengthOf(); if(mode == 0) { // CONSTANT case const T padVal = padValue.e(0); auto func = PRAGMA_THREADS_FOR { Nd4jLong coords[MAX_RANK]; for (auto i = start; i < stop; i += increment) { shape::index2coords(i, output.getShapeInfo(), coords); const auto zOffset = shape::getOffset(output.getShapeInfo(), coords); bool within = true; for (int j = rankMinusOne; j >= 0; --j) { if (xShape[j] == zShape[j]) continue; const auto left = paddings.e(j, 0); if (coords[j] < left || coords[j] >= left + xShape[j]) { within = false; break; } else { coords[j] = coords[j] - left; } } if (within) z[zOffset] = x[shape::getOffset(input.getShapeInfo(), coords)]; else z[zOffset] = padVal; } }; samediff::Threads::parallel_tad(func, 0, zLen); } else { // REFLECT and SYMMETRIC cases const Nd4jLong shift1 = mode == 1 ? 0 : 1; // REFLECT : SYMMETRIC const Nd4jLong shift2 = mode == 1 ? 2 : 1; // REFLECT : SYMMETRIC auto func = PRAGMA_THREADS_FOR { Nd4jLong coords[MAX_RANK]; for (auto i = start; i < stop; i += increment) { shape::index2coords(i, output.getShapeInfo(), coords); const auto zOffset = shape::getOffset(output.getShapeInfo(), coords); for (int j = rankMinusOne; j >= 0; --j) { if (xShape[j] == zShape[j]) continue; coords[j] = coords[j] - paddings.e(j, 0); // are ready to fill middle (within input dimension range) if (coords[j] < 0) coords[j] = -coords[j] - shift1; // means fill from left else if (coords[j] >= xShape[j]) coords[j] = 2 * xShape[j] - coords[j] - shift2; // means fill from right } const auto xOffset = shape::getOffset(input.getShapeInfo(), coords); z[zOffset] = x[xOffset]; } }; samediff::Threads::parallel_tad(func, 0, zLen); } } // ////////////////////////////////////////////////////////////////////////// // template // void pad2_(const int mode, const NDArray& input, const NDArray& paddings, NDArray& output, NDArray const& padValue) { // const int rank = output.rankOf(); // std::vector dimsToExclude(rank); // std::iota(dimsToExclude.begin(), dimsToExclude.end(), 0); // fill with 0, 1, ... rank-1 // Nd4jLong numLeft = paddings.e(rank-1,0); // Nd4jLong numRight = paddings.e(rank-1,1); // Nd4jLong inDimSize = input.sizeAt(rank-1); // Nd4jLong outDimSize = output.sizeAt(rank-1); // std::vector> outIdx = { std::vector(2*rank), {numLeft, numLeft + inDimSize}, {0, numLeft}, {numLeft + inDimSize, outDimSize} }; // for(int i = 0; i < rank-1; ++i) { // outIdx[0][2*i] = paddings.e(i, 0); // outIdx[0][2*i + 1] = outIdx[0][2*i] + input.sizeAt(i); // } // outIdx[0][2*rank-1] = outIdx[0][2*rank-2] = 0; // // ***** populate innermost sub-arrays firstly ***** // // dimsToExclude.pop_back(); // Nd4jLong startL = mode == 1 ? 1 : 0; // REFLECT or SYMMETRIC // Nd4jLong startR = mode == 1 ? inDimSize-2 : inDimSize-1; // REFLECT or SYMMETRIC // Nd4jLong numOfSubArrs = ShapeUtils::getNumOfSubArrs(input.getShapeInfo(), dimsToExclude); // NDArray outSubArr0 = output(outIdx[0], true); // PRAGMA_OMP_PARALLEL_FOR // for(Nd4jLong j = 0; j < numOfSubArrs; ++j) { // NDArray outSubArr1 = outSubArr0(j, dimsToExclude); // NDArray inSubArr = input(j, dimsToExclude); // NDArray outSubArrMid = outSubArr1(outIdx[1]); // outSubArrMid.assign(inSubArr); // assign middle // if(mode == 0) { // CONSTANT // if(numLeft != 0) { // NDArray temp = outSubArr1(outIdx[2]); // temp.assign(padValue); // assign left // } // if(numRight != 0) { // NDArray temp = outSubArr1(outIdx[3]); // temp.assign(padValue); // assign right // } // } // else { // REFLECT or SYMMETRIC // for(Nd4jLong k = numLeft-1, e = startL; k >= 0; --k, ++e) // fill left side // outSubArr1.t(k) = inSubArr.t(e); // for(Nd4jLong k = numLeft + inDimSize, e = startR; k < outDimSize; ++k, --e) // fill right side // outSubArr1.t(k) = inSubArr.t(e); // } // } // // ***** fill rest of outer sub-arrays ***** // // std::vector outIdxInner(2, 0); // std::vector outIdxOuter(2, 0); // for(int i = rankBorder - 1; i >= 0; --i) { // dimsToExclude.pop_back(); // outIdxInner.push_back(0), outIdxInner.push_back(0); // outIdxOuter.push_back(0), outIdxOuter.push_back(0); // Nd4jLong numLeft = paddings.e(i, 0); // Nd4jLong numRight = paddings.e(i, 1); // if(numLeft == 0 && numRight == 0) // continue; // Nd4jLong inDimSize = input.sizeAt(i); // Nd4jLong outDimSize = output.sizeAt(i); // if(mode == 0) { // outIdxOuter[0] = 0; outIdxOuter[1] = numLeft; // outIdxInner[0] = numLeft + inDimSize; outIdxInner[1] = outDimSize; // } // startL = mode == 1 ? numLeft + 1 : numLeft; // REFLECT or SYMMETRIC // startR = mode == 1 ? numLeft + inDimSize - 2 : numLeft + inDimSize-1; // REFLECT or SYMMETRIC // numOfSubArrs = ShapeUtils::getNumOfSubArrs(output.getShapeInfo(), dimsToExclude); // PRAGMA_OMP_PARALLEL_FOR_ARGS(firstprivate(outIdxOuter, outIdxInner)) // for(Nd4jLong j = 0; j < numOfSubArrs; ++j) { // NDArray outSubArr = output(j, dimsToExclude); // if(mode == 0) { // CONSTANT // if(numLeft != 0) { // NDArray tempO = outSubArr(outIdxOuter); // tempO.assign(padValue); // assign left // } // if(numRight != 0) { // NDArray tempI = outSubArr(outIdxInner); // tempI.assign(padValue); // assign right // } // } // else { // REFLECT or SYMMETRIC // for(Nd4jLong k = numLeft-1, e = startL; k >= 0; --k, ++e) { // fill left side // outIdxOuter[0] = k; // outIdxOuter[1] = k+1; // outIdxInner[0] = e; // outIdxInner[1] = e+1; // NDArray outSubArrInner = outSubArr(outIdxInner); // NDArray outSubArrOuter = outSubArr(outIdxOuter); // outSubArrOuter.assign(outSubArrInner); // } // for(Nd4jLong k = numLeft + inDimSize, e = startR; k < outDimSize; ++k, --e) { // fill right side // outIdxOuter[0] = k; // outIdxOuter[1] = k+1; // outIdxInner[0] = e; // outIdxInner[1] = e+1; // NDArray outSubArrInner = outSubArr(outIdxInner); // NDArray outSubArrOuter = outSubArr(outIdxOuter); // outSubArrOuter.assign(outSubArrInner); // } // } // } // } // } void pad(nd4j::LaunchContext * context, const int mode, const NDArray& input, const NDArray& paddings, NDArray& output, NDArray const& padValue) { BUILD_SINGLE_SELECTOR(input.dataType(), pad_, (mode, input, paddings, output, padValue), LIBND4J_TYPES); } //////////////////////////////////////////////////////////////////////// /*// initial values of inIdx, outIdx, dim must be equal to zero template static void recursiveLoopForPad_(const int mode, NDArray& input, const NDArray& paddings, NDArray& output, std::vector dimensions, int dim, int inIdx, int outIdx, NDArray& padValue ) { int leftOffset; // dimensions are array of input dimensions, it is sorted in increasing order // every time at the beginning we erase first element from it (not good idea to use vector for this purpose, but luckily it is small enough) // then we use this array for tads building, every time while recursion the number of built tads becomes bigger dimensions.erase(dimensions.begin()); // build tad basing on output array, also create auxiliary arrays pointing on required output array ranges shape::TAD tadOut(output.getShapeInfo(), dimensions.data(), dimensions.size()); tadOut.createTadOnlyShapeInfo(); tadOut.createOffsets(); auto subArrOut = NDArray(output.getBuffer(), tadOut.tadOnlyShapeInfo, output.getContext()); auto subArr = NDArray(output.getBuffer(), tadOut.tadOnlyShapeInfo, output.getContext()); // build tad basing on input array, also create auxiliary array pointing on required input array range shape::TAD tadIn(input.getShapeInfo(), dimensions.data(), dimensions.size()); tadIn.createTadOnlyShapeInfo(); tadIn.createOffsets(); auto subArrIn = NDArray(input.getBuffer(), tadIn.tadOnlyShapeInfo, output.getContext()); // these indices take into account recursion and always point to actual tads numbers if (input.rankOf() > 1 && output.rankOf() > 1) {// only for non-vector cases outIdx = outIdx * output.sizeAt(dim + 1); inIdx = inIdx * input.sizeAt(dim + 1); } // current input tad number, we add to it unity in a loop int k = -1; // loop through current dimension for(int i = 0; i < output.sizeAt(dim); ++i) { // corresponds to outer range (relevant indices are absent in input) leftOffset = paddings.e(dim, 0); if(i < leftOffset || i >= (input.sizeAt(dim) + leftOffset)) continue; // increase input tads number ++k; // recursion condition allows for the fact that tad can't reduce to scalar if(dim < input.rankOf() - 2) recursiveLoopForPad(mode, input, paddings, output, dimensions, dim + 1, inIdx + k, outIdx + i, padValue); else if (paddings.sizeAt(0) > dim + 1){ leftOffset = paddings.e(dim + 1, 0); // shift buffers pointers to actual element position if (output.rankOf() > 1) { subArrOut.setBuffer(reinterpret_cast(output.getBuffer()) + tadOut.tadOffsets[outIdx + i]); subArrIn.setBuffer(reinterpret_cast(input.getBuffer()) + tadIn.tadOffsets[inIdx + i - paddings.e(dim, 0)]); } else { subArrOut.p(i, subArrIn.e(i - leftOffset)); } // most inner loop, corresponds to last dim = rank-1 switch (mode) { case 0: // CONSTANT mode for(int j = 0; j < subArrOut.lengthOf(); ++j) if(j < leftOffset || j >= (subArrIn.lengthOf() + leftOffset) ) // firstly fill with zeros outer ranges subArrOut.p(j, (T)0.f); else subArrOut.p(j, subArrIn.e(j - leftOffset)); // fill middle with elements of input array break; case 1: // REFLECT mode for(int j = 1; j <= leftOffset; ++j) // fill firstly left side subArrOut.p(leftOffset - j, subArrIn.e(j)); for(int j = 0; j < subArrIn.lengthOf(); ++j) // fill middle subArrOut.p(leftOffset + j, subArrIn.e(j)); for(int j = (subArrOut.lengthOf() - leftOffset); j < subArrOut.lengthOf(); ++j) // fill right side subArrOut.p(j, subArrIn.e(subArrOut.lengthOf() - j - 1)); break; case 2: // SYMMETRIC mode for(int j = 1; j <= leftOffset; ++j) // fill firstly left side subArrOut.p(leftOffset - j, subArrIn.e(j-1)); for(int j = 0; j < subArrIn.lengthOf(); ++j) // fill middle subArrOut.p(leftOffset + j, subArrIn.e(j)); for(int j = (subArrOut.lengthOf() - leftOffset); j < subArrOut.lengthOf(); ++j) // fill right side subArrOut.p(j, subArrIn.e(subArrOut.lengthOf() - j)); break; } } else { if (mode == 0 && input.rankOf() < 2) subArrOut.p(i, subArrIn.e(i - leftOffset)); // fill middle with elements of input array } } // populate sub-array formed previously leftOffset = paddings.e(dim,0); switch (mode) { case 0: // CONSTANT mode for(int j = 1; j <= leftOffset; ++j) { // fill left side with padValue if (output.rankOf() > 1) { subArrOut.setBuffer( reinterpret_cast(output.getBuffer()) + tadOut.tadOffsets[outIdx + leftOffset - j]); subArrOut.assign(padValue); } else { subArrOut.p(j - 1, padValue); } } // output.printIndexedBuffer("Output at"); for(int j = (output.sizeAt(dim) - leftOffset); j < output.sizeAt(dim); ++j) { // fill left side with zeros if (output.rankOf() > 1) { subArrOut.setBuffer(reinterpret_cast(output.getBuffer()) + tadOut.tadOffsets[outIdx + j]); subArrOut.assign(padValue); } else { subArrOut.p(j, padValue); } } break; case 1: // REFLECT mode for(int j = 1; j <= leftOffset; ++j) { // fill left side subArr.setBuffer(reinterpret_cast(output.getBuffer()) + tadOut.tadOffsets[outIdx + leftOffset + j]); subArrOut.setBuffer(reinterpret_cast(output.getBuffer()) + tadOut.tadOffsets[outIdx + leftOffset - j]); subArrOut.assign(&subArr); } for(int j = (output.sizeAt(dim) - leftOffset); j < output.sizeAt(dim); ++j) { // fill right side subArr.setBuffer(reinterpret_cast(output.getBuffer()) + tadOut.tadOffsets[outIdx + output.sizeAt(dim) + leftOffset - 1 - j]); subArrOut.setBuffer(reinterpret_cast(output.getBuffer()) + tadOut.tadOffsets[outIdx + j]); subArrOut.assign(&subArr); } break; case 2: // SYMMETRIC mode for(int j = 1; j <= leftOffset; ++j) { // fill left side subArr.setBuffer(reinterpret_cast(output.getBuffer()) + tadOut.tadOffsets[outIdx + leftOffset + j - 1]); subArrOut.setBuffer(reinterpret_cast(output.getBuffer()) + tadOut.tadOffsets[outIdx + leftOffset - j]); subArrOut.assign(&subArr); } for(int j = (output.sizeAt(dim) - leftOffset); j < output.sizeAt(dim); ++j) { // fill right side subArr.setBuffer(reinterpret_cast(output.getBuffer()) + tadOut.tadOffsets[outIdx + output.sizeAt(dim) + leftOffset - j]); subArrOut.setBuffer(reinterpret_cast(output.getBuffer()) + tadOut.tadOffsets[outIdx + j]); subArrOut.assign(&subArr); } break; } } */ /* void recursiveLoopForPad(const int mode, NDArray& input, const NDArray& paddings, NDArray& output, std::vector dimensions, int dim, int inIdx, int outIdx, NDArray& padValue ) { BUILD_SINGLE_SELECTOR(input.dataType(), recursiveLoopForPad_, (mode, input, paddings, output, dimensions, dim, inIdx, outIdx, padValue), LIBND4J_TYPES); } BUILD_SINGLE_TEMPLATE(template void recursiveLoopForPad_, (const int mode, NDArray& input, const NDArray& paddings, NDArray& output, std::vector dimensions, int dim, int inIdx, int outIdx, NDArray& padValue), LIBND4J_TYPES); */ //////////////////////////////////////////////////////////////////////// void invertPermutation(nd4j::LaunchContext * context, const NDArray& input, NDArray& output) { std::set uniqueElems; const int length = input.lengthOf(); for(int i = 0; i < length; ++i) { int elem = input.e(i); if(!uniqueElems.insert(elem).second) // this operation forbids us to use #pragma omp throw std::runtime_error("helpers::invertPermutation function: input array contains duplicates !"); if(elem < 0 || elem > length - 1) throw std::runtime_error("helpers::invertPermutation function: element of input array is out of range (0, length-1) !"); output.p(elem, i); } } //////////////////////////////////////////////////////////////////////// template static void gatherND_(NDArray& input, NDArray& indices, NDArray& output) { const X* x = reinterpret_cast(input.getBuffer()); const Y* y = reinterpret_cast(indices.getBuffer()); X* z = reinterpret_cast(output.getBuffer()); const int xRank = input.rankOf(); const int yRank = indices.rankOf(); const int zRank = output.rankOf(); const int maxRank = nd4j::math::nd4j_max(yRank, nd4j::math::nd4j_max(xRank, zRank)); const Nd4jLong zLen = output.lengthOf(); const int yLastDim = indices.sizeAt(-1); auto func = PRAGMA_THREADS_FOR { Nd4jLong coords[MAX_RANK * 3]; for (auto i = start; i < stop; i += increment) { Nd4jLong *zCoordStart, *xCoordStart; if (yLastDim == xRank) { zCoordStart = coords; xCoordStart = coords; } else if (zRank >= xRank) { zCoordStart = coords; xCoordStart = coords + zRank - xRank; } else { zCoordStart = coords + xRank - zRank; xCoordStart = coords; } shape::index2coords(i, output.getShapeInfo(), zCoordStart); const auto zOffset = shape::getOffset(output.getShapeInfo(), zCoordStart); // last y coordinate uint coordToRestore; if (yLastDim != xRank) coordToRestore = static_cast(zCoordStart[yRank - 1]); zCoordStart[yRank - 1] = 0; const auto yOffset = shape::getOffset(indices.getShapeInfo(), zCoordStart); //restore z coordinate if (yLastDim != xRank) zCoordStart[yRank - 1] = coordToRestore; // construct coordinates for x for (uint j = 0; j < yLastDim; ++j) xCoordStart[j] = y[yOffset + j * indices.stridesOf()[yRank - 1]]; // last stride const auto xOffset = shape::getOffset(input.getShapeInfo(), xCoordStart); z[zOffset] = x[xOffset]; } }; samediff::Threads::parallel_tad(func, 0, zLen); } //////////////////////////////////////////////////////////////////////// void gatherND(nd4j::LaunchContext * context, NDArray& input, NDArray& indices, NDArray& output) { BUILD_DOUBLE_SELECTOR(input.dataType(), indices.dataType(), gatherND_, (input, indices, output), LIBND4J_TYPES, INDEXING_TYPES); } //////////////////////////////////////////////////////////////////////// template static void gather_(NDArray* input, const NDArray* indices, NDArray* output, const std::vector& intArgs) { int axis = intArgs.size() > 0 ? intArgs[0] : 0; const int inputRank = input->rankOf(); if(axis < 0) axis += inputRank; const int numOfIntArgs = intArgs.size(); if (indices != nullptr) { for(int i = 0; i < indices->lengthOf(); ++i) if(indices->e(i) >= input->sizeAt(axis)) throw std::runtime_error("helpers::gather function: indices array contains wrong elements, each element must be smaller than corresponding dimension of input array !"); // first case: indices consist of only one scalar if(indices->isScalar()) { if(input->rankOf() <= 1){ //For scalar indices, rank 0 or 1 input: can't do tensor along dimension 0 as this is whole array... instead, we want to get a scalar auto idx = indices->e(0); auto scalarNDArray = input->e(idx); output->assign(scalarNDArray); } else { auto dimensions = ShapeUtils::evalDimsToExclude(input->rankOf(), {axis}); auto tadPack = nd4j::ConstantTadHelper::getInstance()->tadForDimensions(input->getShapeInfo(), dimensions); auto tadArr = NDArray(reinterpret_cast(reinterpret_cast(input->getBuffer()) + tadPack.primaryOffsets()[indices->e(0)]), tadPack.primaryShapeInfo(), output->getContext()); output->assign(&tadArr); } } else if (input->rankOf() == 1 && indices->isVector()) { // special case auto func = PRAGMA_THREADS_FOR { for (auto e = start; e < stop; e += increment) output->p(e, input->e(indices->e(e))); }; samediff::Threads::parallel_for(func, 0, indices->lengthOf()); } else { std::vector dimsOut(indices->rankOf()); std::iota(dimsOut.begin(), dimsOut.end(), axis); // fill with axis, axis+1, ... indices->rankOf()-1 const Nd4jLong numOfSubArrs = ShapeUtils::getNumOfSubArrs(output->getShapeInfo(), dimsOut); auto func = PRAGMA_THREADS_FOR { for (auto i = start; i < stop; i += increment) { NDArray subArrOut = (*output)(i, dimsOut); NDArray subArrIn = (*input)(indices->e(i), {axis}); subArrOut.assign(subArrIn); } }; samediff::Threads::parallel_tad(func, 0, numOfSubArrs); } } else { for(int i = 1; i < numOfIntArgs; ++i) if(intArgs[i] >= input->sizeAt(axis)) throw std::runtime_error("helpers::gather function: some of input indexes is larger than corresponding shape of input array !"); // we only allow scalar/vector case here if (numOfIntArgs == 2) { // scalar case output->assign((*input)(intArgs[1], {axis})); } else { // vector case const Nd4jLong numOfSubArrs = ShapeUtils::getNumOfSubArrs(output->getShapeInfo(), {axis}); auto func = PRAGMA_THREADS_FOR { for (auto i = start; i < stop; i += increment) { NDArray subArrOut = (*output)(i, {axis}); NDArray subArrIn = (*input)(intArgs[i + 1], {axis}); subArrOut.assign(subArrIn); } }; samediff::Threads::parallel_tad(func, 0, numOfSubArrs); } } } void gather(NDArray* input, const NDArray* indices, NDArray* output, const std::vector& intArgs) { BUILD_SINGLE_SELECTOR(input->dataType(), gather_, (input, indices, output, intArgs), LIBND4J_TYPES); } ////////////////////////////////////////////////////////////////////////// void eye(nd4j::LaunchContext * context, NDArray& output) { const int rank = output.rankOf(); auto arrs = output.allTensorsAlongDimension({rank-2, rank-1}); auto func = PRAGMA_THREADS_FOR { for (auto i = start; i < stop; i += increment) arrs->at(i)->setIdentity(); }; samediff::Threads::parallel_tad(func, 0, arrs->size()); delete arrs; } ////////////////////////////////////////////////////////////////////////// void scatterUpdate(nd4j::LaunchContext * context, NDArray& input, NDArray& updates, const std::vector* intArgs) { int opCode = (*intArgs)[0]; int dimSize = (*intArgs)[1]; Nd4jLong e; Nd4jLong limg = 2 + dimSize; std::vector tadDimensions(dimSize); for (e = 2; e < limg; e++) tadDimensions[e-2] = (*intArgs)[e]; std::vector dimsToExclude = ShapeUtils::evalDimsToExclude(input.rankOf(), tadDimensions); // increasing counter to skip numIndices e++; std::vector indices; for (; e < intArgs->size(); e++) indices.push_back((*intArgs)[e]); auto func = PRAGMA_THREADS_FOR { for (auto i = start; i < stop; i += increment) { auto inSubArr = input(indices[i], dimsToExclude, true); auto updSubArr = updates(i, dimsToExclude, true); if (inSubArr.lengthOf() != updSubArr.lengthOf()) continue; switch (opCode) { case 0: inSubArr.applyPairwiseTransform(pairwise::Add, &updSubArr, &inSubArr, nullptr); break; case 1: inSubArr.applyPairwiseTransform(pairwise::Subtract, &updSubArr, &inSubArr, nullptr); break; case 2: inSubArr.applyPairwiseTransform(pairwise::Multiply, &updSubArr, &inSubArr, nullptr); break; case 3: inSubArr.applyPairwiseTransform(pairwise::Divide, &updSubArr, &inSubArr, nullptr); break; case 4: inSubArr.applyPairwiseTransform(pairwise::ReverseSubtract, &updSubArr, &inSubArr, nullptr); break; case 5: inSubArr.applyPairwiseTransform(pairwise::ReverseDivide, &updSubArr, &inSubArr, nullptr); break; case 6: inSubArr.applyPairwiseTransform(pairwise::CopyPws, &updSubArr, &inSubArr, nullptr); break; default: continue; } } }; samediff::Threads::parallel_tad(func, 0, indices.size()); } ////////////////////////////////////////////////////////////////////////// void scatterSimple(nd4j::LaunchContext * context, const int opId, NDArray& input, const NDArray& updates, const NDArray& indices, const std::vector& dimensions) { // updates and indices have same length const Nd4jLong len = indices.lengthOf(); switch (opId) { case 6: { // copy auto func = PRAGMA_THREADS_FOR { for (auto i = start; i < stop; i += increment) { auto inSubArr = input(i, dimensions); inSubArr.p(indices.t(i), updates.e(i)); } }; samediff::Threads::parallel_for(func, 0, len); } break; default: throw std::invalid_argument("helpers::scatterSimple: operation is not implemented for given id !"); } } ////////////////////////////////////////////////////////////////////////// template static void mergeMaxIndex_(const std::vector& inArrs, NDArray& output) { const Nd4jLong numArgs = inArrs.size(); auto x = inArrs[0]; auto func = PRAGMA_THREADS_FOR { for (auto e = start; e < stop; e += increment) { T max = -DataTypeUtils::max(); Nd4jLong idx = 0; for (int i = 0; i < numArgs; i++) { T v = inArrs[i]->e(e); if (v > max) { max = v; idx = i; } } output.p(e, idx); } }; samediff::Threads::parallel_for(func, 0, x->lengthOf()); } void mergeMaxIndex(nd4j::LaunchContext * context, const std::vector& inArrs, NDArray& output) { BUILD_SINGLE_SELECTOR(inArrs[0]->dataType(), mergeMaxIndex_, (inArrs, output), LIBND4J_TYPES); } ////////////////////////////////////////////////////////////////////////// template static void mergeMax_(const std::vector& inArrs, NDArray& output) { const Nd4jLong numArgs = inArrs.size(); auto x = inArrs[0]; auto func = PRAGMA_THREADS_FOR { for (auto e = start; e < stop; e += increment) { T max = -DataTypeUtils::max(); for (int i = 0; i < numArgs; i++) { T v = inArrs[i]->e(e); if (v > max) max = v; } output.p(e, max); } }; samediff::Threads::parallel_for(func, 0, x->lengthOf()); } void mergeMax(nd4j::LaunchContext * context, const std::vector& inArrs, NDArray& output) { BUILD_SINGLE_SELECTOR(output.dataType(), mergeMax_, (inArrs, output), LIBND4J_TYPES); } ////////////////////////////////////////////////////////////////////////// template static void mergeAvg_(const std::vector& inArrs, NDArray& output) { const Nd4jLong numArgs = inArrs.size(); const T factor = 1.f / numArgs; auto x = inArrs[0]; auto func = PRAGMA_THREADS_FOR { for (auto e = start; e < stop; e += increment) { T sum = 0.; for (int i = 0; i < numArgs; i++) { T v = inArrs[i]->e(e); sum += v; } output.p(e, sum * factor); } }; samediff::Threads::parallel_for(func, 0, x->lengthOf()); } void mergeAvg(nd4j::LaunchContext * context, const std::vector& inArrs, NDArray& output) { BUILD_SINGLE_SELECTOR(output.dataType(), mergeAvg_, (inArrs, output), LIBND4J_TYPES); } ////////////////////////////////////////////////////////////////////////// template static void mergeAdd_(const std::vector& inArrs, NDArray& output) { const Nd4jLong numArgs = inArrs.size(); auto x = inArrs[0]; auto func = PRAGMA_THREADS_FOR { for (auto e = start; e < stop; e += increment) { T sum = (T) 0.f; for (int i = 0; i < numArgs; i++) sum += inArrs[i]->e(e); output.p(e, sum); } }; samediff::Threads::parallel_for(func, 0, x->lengthOf()); } void mergeAdd(nd4j::LaunchContext * context, const std::vector& inArrs, NDArray& output) { BUILD_SINGLE_SELECTOR(output.dataType(), mergeAdd_, (inArrs, output), LIBND4J_TYPES); } ////////////////////////////////////////////////////////////////////////// template static void clipByNorm_(NDArray& input, NDArray& output, const std::vector& dimensions, const NDArray& clipNorm, const bool isInplace) { const int rank = input.rankOf(); const auto norm2 = input.reduceAlongDims(reduce::Norm2, dimensions); const T normActual = norm2.e(0); const T normClip = clipNorm.e(0); if (isInplace) { if(norm2.lengthOf() == 1) { if(normActual > normClip) input *= (normClip / normActual); } else { auto listOfInSubArrs = input.allTensorsAlongDimension(dimensions); auto func = PRAGMA_THREADS_FOR { for (auto i = start; i < stop; i += increment) { const T iNormActual = norm2.e(i); if (iNormActual > normClip) *listOfInSubArrs->at(i) *= normClip / iNormActual; } }; samediff::Threads::parallel_tad(func, 0, listOfInSubArrs->size()); delete listOfInSubArrs; } } else { if(norm2.lengthOf() == 1) { if(normActual > normClip) output.assign(input * (normClip / normActual)); else output.assign(input); } else { auto listOfInSubArrs = input.allTensorsAlongDimension(dimensions); auto listOfOutSubArrs = output.allTensorsAlongDimension(dimensions); auto func = PRAGMA_THREADS_FOR { for (auto i = start; i < stop; i += increment) { auto inputSubArr = listOfInSubArrs->at(i); auto outputSubArr = listOfOutSubArrs->at(i); outputSubArr->assign(inputSubArr); const T iNormActual = norm2.e(i); if (iNormActual > clipNorm.e(0)) *outputSubArr *= clipNorm / iNormActual; } }; samediff::Threads::parallel_tad(func, 0, listOfInSubArrs->size()); delete listOfInSubArrs; delete listOfOutSubArrs; } } } ////////////////////////////////////////////////////////////////////////// void clipByNorm(nd4j::LaunchContext * context, NDArray& input, NDArray& output, const std::vector& dimensions, const NDArray& clipNorm, const bool isInplace) { BUILD_SINGLE_SELECTOR(output.dataType(), clipByNorm_, (input, output, dimensions, clipNorm, isInplace), FLOAT_TYPES); } template static void clipByGlobalNorm_(std::vector const& inputs, double clipNorm, nd4j::memory::Workspace* workspace, std::vector& outputs, bool isInplace) { T globalNorm = 0; //NDArrayFactory::create(0, inputs[0]->getContext()); //sqrt(sum([l2norm(t)**2 for t in t_list])) // PRAGMA_OMP_PARALLEL_FOR_SIMD_REDUCTION(sumT : globalNorm) for (size_t i = 0; i < inputs.size(); i++) { auto input = inputs[i]; auto l2norm = input->reduceNumber(reduce::Norm2); globalNorm += l2norm.t(0) * l2norm.t(0); } //globalNorm.applyTransform(transform::Sqrt, nullptr, nullptr);// = nd4j::math::nd4j_sqrt(globalNorm); auto normS = nd4j::math::nd4j_sqrt(globalNorm); outputs[inputs.size()]->p(0, normS); const T factor = clipNorm / normS; // PRAGMA_OMP_PARALLEL_FOR for (size_t e = 0; e < inputs.size(); e++) { // all-reduce auto input = inputs[e]; auto output = outputs[e]; if (normS <= clipNorm) { output->assign(input); } else { auto lambda = LAMBDA_T(_x, factor) { return _x * factor; }; input->applyLambda(lambda, output); } } } void clipByGlobalNorm(nd4j::LaunchContext * context, std::vector const& inputs, double clipNorm, nd4j::memory::Workspace* workspace, std::vector& outputs, bool isInplace) { BUILD_SINGLE_SELECTOR(outputs[0]->dataType(), clipByGlobalNorm_, (inputs, clipNorm, workspace, outputs, isInplace), FLOAT_TYPES); } BUILD_SINGLE_TEMPLATE(template void clipByGlobalNorm_, (std::vector const& inputs, double clipNorm, nd4j::memory::Workspace* workspace, std::vector& outputs, bool isInplace), FLOAT_TYPES); ////////////////////////////////////////////////////////////////////////// template static void clipByNormBP_(const NDArray& input, const NDArray& gradO, NDArray& gradI /*output*/, const std::vector& dimensions, const NDArray& clipNorm) { const int rank = input.rankOf(); auto norm2 = input.reduceAlongDims(reduce::Norm2, dimensions); if(norm2.lengthOf() == 1) { const T N = norm2.e(0); auto cn = clipNorm.e(0); if(N > cn) { const T sumOfProd = (input * gradO).reduceNumber(reduce::Sum).e(0); // reduce to scalar const T factor1 = static_cast(1.f) / N; const T factor3 = factor1 / (N * N); // 1 / (N*N*N) auto lambda = LAMBDA_TT(elem1, elem2, cn, sumOfProd, factor1, factor3) { return cn * (factor1 * elem2 - factor3 * elem1 * sumOfProd); }; (const_cast(input)).applyPairwiseLambda(const_cast(&gradO), lambda, &gradI); } else gradI.assign(gradO); } else { const auto gradISubArrs = gradI.allTensorsAlongDimension({dimensions}); const auto gradOSubArrs = gradO.allTensorsAlongDimension({dimensions}); const auto inputSubArrs = input.allTensorsAlongDimension({dimensions}); auto cn = clipNorm.e(0); auto func = PRAGMA_THREADS_FOR { for (auto i = start; i < stop; i += increment) { T N = norm2.e(i); auto gradOSubArr = gradOSubArrs->at(i); auto gradISubArr = gradISubArrs->at(i); if (N > cn) { auto inputSubArr = inputSubArrs->at(i); const T sumOfProd = (*inputSubArr * *gradOSubArr).reduceNumber(reduce::Sum).e(0); // reduce to scalar const T factor1 = static_cast(1.f) / N; const T factor3 = factor1 / (N * N); // 1 / (N*N*N) auto lambda = LAMBDA_TT(elem1, elem2, cn, sumOfProd, factor1, factor3) { return cn * (factor1 * elem2 - factor3 * elem1 * sumOfProd); }; inputSubArr->applyPairwiseLambda(gradOSubArr, lambda, gradISubArr); } else gradISubArr->assign(gradOSubArr); } }; samediff::Threads::parallel_tad(func, 0, gradISubArrs->size()); delete gradISubArrs; delete gradOSubArrs; delete inputSubArrs; } } void clipByNormBP(nd4j::LaunchContext * context, const NDArray& input, const NDArray& gradO, NDArray& gradI /*output*/, const std::vector& dimensions, const NDArray& clipNorm) { BUILD_SINGLE_SELECTOR(gradI.dataType(), clipByNormBP_, (input, gradO, gradI, dimensions, clipNorm), FLOAT_TYPES); } BUILD_SINGLE_TEMPLATE(template void clipByNormBP_, (const NDArray& input, const NDArray& gradO, NDArray& gradI /*output*/, const std::vector& dimensions, const NDArray& clipNorm), FLOAT_TYPES); ////////////////////////////////////////////////////////////////////////// template static void clipByAveraged_(NDArray& input, NDArray& output, const std::vector& dimensions, const NDArray& clipNorm, const bool isInplace) { auto cn = clipNorm.e(0); if (dimensions.size() == 0) { // all-reduce T n2 = input.reduceNumber(reduce::Norm2).e(0) / input.lengthOf(); if (n2 <= cn) { if (!isInplace) output.assign(input); } else { const T factor = cn / n2; auto lambda = LAMBDA_T(_x, factor) { return _x * factor; }; input.applyLambda(lambda, &output); } } else { // along dimension auto norm2 = input.reduceAlongDims(reduce::Norm2, dimensions, false); if (!isInplace) output.assign(input); auto tads = output.allTensorsAlongDimension(dimensions); // TODO: make this CUDA-compliant somehow for (int e = 0; e < tads->size(); e++) { T n2 = norm2.e(e) / tads->at(e)->lengthOf(); const T factor = cn / n2; if (n2 > cn) { auto lambda = LAMBDA_T(_x, factor) {return _x * factor;}; tads->at(e)->applyLambda(lambda, &output); } } delete tads; } } void clipByAveraged(nd4j::LaunchContext * context, NDArray& input, NDArray& output, const std::vector& dimensions, const NDArray& clipNorm, const bool isInplace) { BUILD_SINGLE_SELECTOR(input.dataType(), clipByAveraged_, (input, output, dimensions, clipNorm, isInplace), FLOAT_TYPES); } BUILD_SINGLE_TEMPLATE(template void clipByAveraged_, (NDArray& input, NDArray& output, const std::vector& dimensions, const NDArray& clipNorm, const bool isInplace), FLOAT_TYPES); /* if (d1 > params[1]) return params[1]; else if (d1 < params[0]) return params[0]; else return d1; */ template static void clipByValue_(NDArray& input, double leftBound, double rightBound, NDArray& output) { auto routine = LAMBDA_T(_x, leftBound, rightBound) { if (_x > rightBound) return rightBound; if (_x < leftBound) return leftBound; return _x; }; input.applyLambda(routine, &output); } void clipByValue(nd4j::LaunchContext * context, NDArray& input, double leftBound, double rightBound, NDArray& output) { BUILD_SINGLE_SELECTOR(input.dataType(), clipByValue_, (input, leftBound, rightBound, output), FLOAT_TYPES); } BUILD_SINGLE_TEMPLATE(template void clipByValue_, (NDArray& input, double leftBound, double rightBound, NDArray& output);, FLOAT_TYPES); ////////////////////////////////////////////////////////////////////////// template static void mirrorPad_(const NDArray& input, const NDArray& paddings, NDArray& output, const int mode) { // mode: 0 - REFLECT, else - SYMMETRIC const int reflBorder = (bool)mode ? 1 : 0; const int rank = input.rankOf(); const Nd4jLong outLen = output.lengthOf(); if(rank <= 1) { const Nd4jLong inLen = input.lengthOf(); const auto leftSide = paddings.e(0); const auto leftSideCorrected = leftSide - reflBorder; const Nd4jLong len = 2*(inLen-1) + leftSide + reflBorder; for(int i = 0; i < outLen; ++i) { if (i < leftSide) // left side output.p(i, input.e(leftSideCorrected - i)); else if(i >= leftSide && i < leftSide + inLen) // middle output.p(i, input.e(i - leftSide)); else // right side output.p(i, input.e(len - i)); } } else { auto func = PRAGMA_THREADS_FOR { Nd4jLong inIdx[MAX_RANK]; Nd4jLong outIdx[MAX_RANK]; for (auto i = start; i < stop; i += increment) { shape::index2coords(i, output.getShapeInfo(), outIdx); for (int j = 0; j < rank; ++j) { const Nd4jLong inLen = input.sizeAt(j); const auto leftSide = paddings.e(j, 0); const auto leftSideCorrected = leftSide - reflBorder; const Nd4jLong len = 2 * (inLen - 1) + leftSide + reflBorder; if (outIdx[j] < leftSide) // left side inIdx[j] = leftSideCorrected - outIdx[j]; else if (outIdx[j] >= leftSide && outIdx[j] < leftSide + inLen) // middle inIdx[j] = outIdx[j] - leftSide; else // right side inIdx[j] = len - outIdx[j]; } auto outOffset = shape::getOffset(output.getShapeInfo(), outIdx); auto inOffset = shape::getOffset(input.getShapeInfo(), inIdx); reinterpret_cast(output.buffer())[outOffset] = reinterpret_cast(input.getBuffer())[inOffset]; } }; samediff::Threads::parallel_for(func, 0, outLen); } } void mirrorPad(nd4j::LaunchContext * context, const NDArray& input, const NDArray& paddings, NDArray& output, const int mode) { BUILD_SINGLE_SELECTOR(input.dataType(), mirrorPad_, (input, paddings, output, mode), LIBND4J_TYPES); } BUILD_SINGLE_TEMPLATE(template void mirrorPad_, (const NDArray& input, const NDArray& paddings, NDArray& output, const int mode), LIBND4J_TYPES); ////////////////////////////////////////////////////////////////////////// template static void concat_(const std::vector& inArrs, NDArray& output, const int axis) { nd4j::SpecialMethods::concatCpuGeneric(inArrs, output, axis); } void concat(nd4j::LaunchContext * context, const std::vector& inArrs, NDArray& output, const int axis) { BUILD_SINGLE_SELECTOR(output.dataType(), concat_,(inArrs, output, axis), LIBND4J_TYPES); } BUILD_SINGLE_TEMPLATE(template void concat_, (const std::vector& inArrs, NDArray& output, const int axis), LIBND4J_TYPES); ////////////////////////////////////////////////////////////////////////// template static void tileBP_(const NDArray& gradO /*input*/, NDArray& gradI /*output*/, const std::vector reps) { T* gradIBuff = reinterpret_cast(gradI.getBuffer()); const T* gradOBuff = reinterpret_cast(gradO.getBuffer()); const Nd4jLong gradILen = gradI.lengthOf(); const Nd4jLong gradOLen = gradO.lengthOf(); // gradOLen >= gradILen const Nd4jLong gradIEWS = nd4j::math::nd4j_abs(gradI.ews()); const Nd4jLong gradOEWS = gradO.ews(); // initial zeroing of gradI content if(gradIEWS == 1) memset(gradIBuff, 0, gradILen * sizeof(T)); else { //PRAGMA_OMP_PARALLEL_FOR_SIMD for (int i = 0; i < gradILen * gradIEWS; i += gradIEWS) gradIBuff[i] = static_cast(0.f); } if(gradO.ordering() == 'c' && gradOEWS == 1) { //PRAGMA_OMP_PARALLEL_FOR_SIMD for(Nd4jLong i=0; i(idx) + gradOBuff[i]); } } else if(gradO.ordering() == 'c' && gradOEWS > 1) { //PRAGMA_OMP_PARALLEL_FOR_SIMD for(Nd4jLong i=0; i(idx) + gradOBuff[i * gradOEWS]); } } else { //PRAGMA_OMP_PARALLEL_FOR_SIMD for(Nd4jLong i=0; i(fidx) + gradOBuff[shape::getIndexOffset(i, gradO.getShapeInfo())]); } } } void tileBP(nd4j::LaunchContext * context, const NDArray& gradO /*input*/, NDArray& gradI /*output*/, const std::vector reps) { BUILD_SINGLE_SELECTOR(gradI.dataType(), tileBP_, (gradO, gradI, reps), FLOAT_TYPES); } BUILD_SINGLE_TEMPLATE(template void tileBP_, (const NDArray& gradO /*input*/, NDArray& gradI /*output*/, const std::vector reps), FLOAT_TYPES); } } }