/* Copyright (c) 2018 PaddlePaddle Authors. All Rights Reserved. Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://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. */ #include #include "paddle/fluid/framework/op_registry.h" #include "paddle/fluid/operators/detection/bbox_util.h" #include "paddle/fluid/operators/math/math_function.h" namespace paddle { namespace operators { using Tensor = framework::Tensor; using LoDTensor = framework::LoDTensor; template using EigenMatrix = framework::EigenMatrix; class RpnTargetAssignOp : public framework::OperatorWithKernel { public: using framework::OperatorWithKernel::OperatorWithKernel; void InferShape(framework::InferShapeContext* ctx) const override { PADDLE_ENFORCE(ctx->HasInput("Anchor"), "Input(Anchor) of RpnTargetAssignOp should not be null"); PADDLE_ENFORCE(ctx->HasInput("GtBoxes"), "Input(GtBoxes) of RpnTargetAssignOp should not be null"); PADDLE_ENFORCE(ctx->HasInput("IsCrowd"), "Input(Anchor) of RpnTargetAssignOp should not be null"); PADDLE_ENFORCE(ctx->HasInput("ImInfo"), "Input(ImInfo) of RpnTargetAssignOp should not be null"); PADDLE_ENFORCE( ctx->HasOutput("LocationIndex"), "Output(LocationIndex) of RpnTargetAssignOp should not be null"); PADDLE_ENFORCE( ctx->HasOutput("ScoreIndex"), "Output(ScoreIndex) of RpnTargetAssignOp should not be null"); PADDLE_ENFORCE( ctx->HasOutput("TargetLabel"), "Output(TargetLabel) of RpnTargetAssignOp should not be null"); PADDLE_ENFORCE( ctx->HasOutput("TargetBBox"), "Output(TargetBBox) of RpnTargetAssignOp should not be null"); PADDLE_ENFORCE( ctx->HasOutput("BBoxInsideWeight"), "Output(BBoxInsideWeight) of RpnTargetAssignOp should not be null"); auto anchor_dims = ctx->GetInputDim("Anchor"); auto gt_boxes_dims = ctx->GetInputDim("GtBoxes"); auto im_info_dims = ctx->GetInputDim("ImInfo"); PADDLE_ENFORCE_EQ(anchor_dims.size(), 2, "The rank of Input(Anchor) must be 2."); PADDLE_ENFORCE_EQ(gt_boxes_dims.size(), 2, "The rank of Input(GtBoxes) must be 2."); PADDLE_ENFORCE_EQ(im_info_dims.size(), 2, "The rank of Input(ImInfo) must be 2."); ctx->SetOutputDim("LocationIndex", {-1}); ctx->SetOutputDim("ScoreIndex", {-1}); ctx->SetOutputDim("TargetLabel", {-1, 1}); ctx->SetOutputDim("TargetBBox", {-1, 4}); ctx->SetOutputDim("BBoxInsideWeight", {-1, 4}); } protected: framework::OpKernelType GetExpectedKernelType( const framework::ExecutionContext& ctx) const override { return framework::OpKernelType( framework::ToDataType( ctx.Input("Anchor")->type()), platform::CPUPlace()); } }; template void AppendRpns(LoDTensor* out, int64_t offset, Tensor* to_add) { auto* out_data = out->data(); auto* to_add_data = to_add->data(); memcpy(out_data + offset, to_add_data, to_add->numel() * sizeof(T)); } template std::vector FilterStraddleAnchor( const platform::CPUDeviceContext& context, const Tensor* anchor, const float rpn_straddle_thresh, T im_height, T im_width) { std::vector inds_inside; int anchor_num = anchor->dims()[0]; auto* anchor_data = anchor->data(); if (rpn_straddle_thresh >= 0) { int index; for (int i = 0; i < anchor_num; ++i) { index = i * 4; if ((anchor_data[index + 0] >= -rpn_straddle_thresh) && (anchor_data[index + 1] >= -rpn_straddle_thresh) && (anchor_data[index + 2] < im_width + rpn_straddle_thresh) && (anchor_data[index + 3] < im_height + rpn_straddle_thresh)) { inds_inside.emplace_back(i); } } } else { for (int i = 0; i < anchor_num; ++i) { inds_inside.emplace_back(i); } } int inside_num = inds_inside.size(); Tensor inds_inside_t; int* inds_inside_data = inds_inside_t.mutable_data({inside_num}, context.GetPlace()); std::copy(inds_inside.begin(), inds_inside.end(), inds_inside_data); Tensor inside_anchor_t; T* inside_anchor_data = inside_anchor_t.mutable_data({inside_num, 4}, context.GetPlace()); Gather(anchor->data(), 4, inds_inside_data, inside_num, inside_anchor_data); std::vector res; res.emplace_back(inds_inside_t); res.emplace_back(inside_anchor_t); return res; } template Tensor FilterCrowdGt(const platform::CPUDeviceContext& context, Tensor* gt_boxes, Tensor* is_crowd) { int gt_num = gt_boxes->dims()[0]; std::vector not_crowd_inds; auto* is_crowd_data = is_crowd->data(); for (int i = 0; i < gt_num; ++i) { if (is_crowd_data[i] == 0) { not_crowd_inds.emplace_back(i); } } int ncrowd_num = not_crowd_inds.size(); Tensor ncrowd_gt_boxes; T* ncrowd_gt_boxes_data = ncrowd_gt_boxes.mutable_data({ncrowd_num, 4}, context.GetPlace()); Gather(gt_boxes->data(), 4, not_crowd_inds.data(), ncrowd_num, ncrowd_gt_boxes_data); return ncrowd_gt_boxes; } void ReservoirSampling(const int num, std::vector* inds, std::minstd_rand engine, bool use_random) { std::uniform_real_distribution uniform(0, 1); size_t len = inds->size(); if (len > static_cast(num)) { if (use_random) { for (size_t i = num; i < len; ++i) { int rng_ind = std::floor(uniform(engine) * i); if (rng_ind < num) std::iter_swap(inds->begin() + rng_ind, inds->begin() + i); } } inds->resize(num); } } template void ScoreAssign(const T* anchor_by_gt_overlap_data, const Tensor& anchor_to_gt_max, const Tensor& gt_to_anchor_max, const int rpn_batch_size_per_im, const float rpn_fg_fraction, const float rpn_positive_overlap, const float rpn_negative_overlap, std::vector* fg_inds, std::vector* bg_inds, std::vector* tgt_lbl, std::vector* fg_fake, std::vector* bbox_inside_weight, std::minstd_rand engine, bool use_random) { float epsilon = 0.00001; int anchor_num = anchor_to_gt_max.dims()[0]; int gt_num = gt_to_anchor_max.dims()[0]; std::vector target_label(anchor_num, -1); std::vector fg_inds_fake; std::vector bg_inds_fake; const T* anchor_to_gt_max_data = anchor_to_gt_max.data(); const T* gt_to_anchor_max_data = gt_to_anchor_max.data(); // TODO(buxingyuan): Match with Detectron now // but it seems here is a bug in two directions assignment // in which the later one may overwrites the former one. for (int64_t i = 0; i < anchor_num; ++i) { bool is_anchors_with_max_overlap = false; for (int64_t j = 0; j < gt_num; ++j) { T value = anchor_by_gt_overlap_data[i * gt_num + j]; T diff = std::abs(value - gt_to_anchor_max_data[j]); if (diff < epsilon) { is_anchors_with_max_overlap = true; break; } } bool is_anchor_great_than_thresh = (anchor_to_gt_max_data[i] >= rpn_positive_overlap); if (is_anchors_with_max_overlap || is_anchor_great_than_thresh) { fg_inds_fake.push_back(i); } } // Reservoir Sampling int fg_num = static_cast(rpn_fg_fraction * rpn_batch_size_per_im); ReservoirSampling(fg_num, &fg_inds_fake, engine, use_random); int fg_fake_num = static_cast(fg_inds_fake.size()); for (int64_t i = 0; i < fg_fake_num; ++i) { target_label[fg_inds_fake[i]] = 1; } int bg_num = rpn_batch_size_per_im - fg_fake_num; for (int64_t i = 0; i < anchor_num; ++i) { if (anchor_to_gt_max_data[i] < rpn_negative_overlap) { bg_inds_fake.push_back(i); } } ReservoirSampling(bg_num, &bg_inds_fake, engine, use_random); bg_num = static_cast(bg_inds_fake.size()); int fake_num = 0; for (int64_t i = 0; i < bg_num; ++i) { // fg fake found if (target_label[bg_inds_fake[i]] == 1) { fake_num++; fg_fake->emplace_back(fg_inds_fake[0]); for (int j = 0; j < 4; ++j) { bbox_inside_weight->emplace_back(T(0.)); } } target_label[bg_inds_fake[i]] = 0; } for (int64_t i = 0; i < (fg_fake_num - fake_num) * 4; ++i) { bbox_inside_weight->emplace_back(T(1.)); } for (int64_t i = 0; i < anchor_num; ++i) { if (target_label[i] == 1) { fg_inds->emplace_back(i); fg_fake->emplace_back(i); } if (target_label[i] == 0) bg_inds->emplace_back(i); } fg_num = fg_inds->size(); bg_num = bg_inds->size(); tgt_lbl->resize(fg_num + bg_num, 0); std::vector fg_lbl(fg_num, 1); std::vector bg_lbl(bg_num, 0); std::copy(fg_lbl.begin(), fg_lbl.end(), tgt_lbl->data()); std::copy(bg_lbl.begin(), bg_lbl.end(), tgt_lbl->data() + fg_num); } template std::vector SampleRpnFgBgGt(const platform::CPUDeviceContext& ctx, const Tensor& anchor_by_gt_overlap, const int rpn_batch_size_per_im, const float rpn_positive_overlap, const float rpn_negative_overlap, const float rpn_fg_fraction, std::minstd_rand engine, bool use_random) { auto* anchor_by_gt_overlap_data = anchor_by_gt_overlap.data(); int anchor_num = anchor_by_gt_overlap.dims()[0]; int gt_num = anchor_by_gt_overlap.dims()[1]; std::vector fg_inds; std::vector bg_inds; std::vector gt_inds; std::vector tgt_lbl; std::vector fg_fake; std::vector bbox_inside_weight; // Calculate the max IoU between anchors and gt boxes // Map from anchor to gt box that has highest overlap auto place = ctx.GetPlace(); Tensor anchor_to_gt_max, anchor_to_gt_argmax, gt_to_anchor_max; anchor_to_gt_max.mutable_data({anchor_num}, place); int* argmax = anchor_to_gt_argmax.mutable_data({anchor_num}, place); gt_to_anchor_max.mutable_data({gt_num}, place); auto anchor_by_gt_overlap_et = framework::EigenMatrix::From(anchor_by_gt_overlap); auto anchor_to_gt_max_et = framework::EigenVector::Flatten(anchor_to_gt_max); auto gt_to_anchor_max_et = framework::EigenVector::Flatten(gt_to_anchor_max); auto anchor_to_gt_argmax_et = framework::EigenVector::Flatten(anchor_to_gt_argmax); anchor_to_gt_max_et = anchor_by_gt_overlap_et.maximum(Eigen::DSizes(1)); anchor_to_gt_argmax_et = anchor_by_gt_overlap_et.argmax(1).template cast(); gt_to_anchor_max_et = anchor_by_gt_overlap_et.maximum(Eigen::DSizes(0)); // Follow the Faster RCNN's implementation ScoreAssign(anchor_by_gt_overlap_data, anchor_to_gt_max, gt_to_anchor_max, rpn_batch_size_per_im, rpn_fg_fraction, rpn_positive_overlap, rpn_negative_overlap, &fg_inds, &bg_inds, &tgt_lbl, &fg_fake, &bbox_inside_weight, engine, use_random); int fg_num = fg_inds.size(); int bg_num = bg_inds.size(); int fg_fake_num = fg_fake.size(); gt_inds.reserve(fg_fake_num); for (int i = 0; i < fg_fake_num; ++i) { gt_inds.emplace_back(argmax[fg_fake[i]]); } Tensor loc_index_t, score_index_t, tgt_lbl_t, gt_inds_t, bbox_inside_weight_t; int* loc_index_data = loc_index_t.mutable_data({fg_fake_num}, place); int* score_index_data = score_index_t.mutable_data({fg_num + bg_num}, place); int* tgt_lbl_data = tgt_lbl_t.mutable_data({fg_num + bg_num}, place); int* gt_inds_data = gt_inds_t.mutable_data({fg_fake_num}, place); T* bbox_inside_weight_data = bbox_inside_weight_t.mutable_data({fg_fake_num, 4}, place); std::copy(fg_fake.begin(), fg_fake.end(), loc_index_data); std::copy(fg_inds.begin(), fg_inds.end(), score_index_data); std::copy(bg_inds.begin(), bg_inds.end(), score_index_data + fg_num); std::copy(tgt_lbl.begin(), tgt_lbl.end(), tgt_lbl_data); std::copy(gt_inds.begin(), gt_inds.end(), gt_inds_data); std::copy(bbox_inside_weight.begin(), bbox_inside_weight.end(), bbox_inside_weight_data); std::vector loc_score_tgtlbl_gt; loc_score_tgtlbl_gt.emplace_back(loc_index_t); loc_score_tgtlbl_gt.emplace_back(score_index_t); loc_score_tgtlbl_gt.emplace_back(tgt_lbl_t); loc_score_tgtlbl_gt.emplace_back(gt_inds_t); loc_score_tgtlbl_gt.emplace_back(bbox_inside_weight_t); return loc_score_tgtlbl_gt; } template class RpnTargetAssignKernel : public framework::OpKernel { public: void Compute(const framework::ExecutionContext& context) const override { auto* anchor = context.Input("Anchor"); // (H*W*A) * 4 auto* gt_boxes = context.Input("GtBoxes"); auto* is_crowd = context.Input("IsCrowd"); auto* im_info = context.Input("ImInfo"); auto* loc_index = context.Output("LocationIndex"); auto* score_index = context.Output("ScoreIndex"); auto* tgt_bbox = context.Output("TargetBBox"); auto* tgt_lbl = context.Output("TargetLabel"); auto* bbox_inside_weight = context.Output("BBoxInsideWeight"); PADDLE_ENFORCE_EQ(gt_boxes->lod().size(), 1UL, "RpnTargetAssignOp gt_boxes needs 1 level of LoD"); PADDLE_ENFORCE_EQ(is_crowd->lod().size(), 1UL, "RpnTargetAssignOp is_crowd needs 1 level of LoD"); int64_t anchor_num = static_cast(anchor->dims()[0]); int64_t batch_num = static_cast(gt_boxes->lod().back().size() - 1); int rpn_batch_size_per_im = context.Attr("rpn_batch_size_per_im"); float rpn_straddle_thresh = context.Attr("rpn_straddle_thresh"); float rpn_positive_overlap = context.Attr("rpn_positive_overlap"); float rpn_negative_overlap = context.Attr("rpn_negative_overlap"); float rpn_fg_fraction = context.Attr("rpn_fg_fraction"); bool use_random = context.Attr("use_random"); int64_t max_num = batch_num * rpn_batch_size_per_im; auto place = context.GetPlace(); loc_index->mutable_data({max_num}, place); score_index->mutable_data({max_num}, place); tgt_bbox->mutable_data({max_num, 4}, place); tgt_lbl->mutable_data({max_num, 1}, place); bbox_inside_weight->mutable_data({max_num, 4}, place); auto& dev_ctx = context.device_context(); std::random_device rnd; std::minstd_rand engine; int seed = rnd(); engine.seed(seed); framework::LoD lod_loc, loc_score; std::vector lod0_loc(1, 0); std::vector lod0_score(1, 0); int total_loc_num = 0; int total_score_num = 0; auto gt_boxes_lod = gt_boxes->lod().back(); auto is_crowd_lod = is_crowd->lod().back(); for (int i = 0; i < batch_num; ++i) { Tensor gt_boxes_slice = gt_boxes->Slice(gt_boxes_lod[i], gt_boxes_lod[i + 1]); Tensor is_crowd_slice = is_crowd->Slice(is_crowd_lod[i], is_crowd_lod[i + 1]); Tensor im_info_slice = im_info->Slice(i, i + 1); auto* im_info_data = im_info_slice.data(); auto im_height = im_info_data[0]; auto im_width = im_info_data[1]; auto im_scale = im_info_data[2]; // Filter straddle anchor std::vector filter_output = FilterStraddleAnchor( dev_ctx, anchor, rpn_straddle_thresh, im_height, im_width); Tensor inds_inside = filter_output[0]; Tensor inside_anchor = filter_output[1]; // Filter crowd gt Tensor ncrowd_gt_boxes = FilterCrowdGt(dev_ctx, >_boxes_slice, &is_crowd_slice); auto ncrowd_gt_boxes_et = framework::EigenTensor::From(ncrowd_gt_boxes); ncrowd_gt_boxes_et = ncrowd_gt_boxes_et * im_scale; Tensor anchor_by_gt_overlap; anchor_by_gt_overlap.mutable_data( {inside_anchor.dims()[0], ncrowd_gt_boxes.dims()[0]}, place); BboxOverlaps(inside_anchor, ncrowd_gt_boxes, &anchor_by_gt_overlap); auto loc_score_tgtlbl_gt = SampleRpnFgBgGt( dev_ctx, anchor_by_gt_overlap, rpn_batch_size_per_im, rpn_positive_overlap, rpn_negative_overlap, rpn_fg_fraction, engine, use_random); Tensor sampled_loc_index = loc_score_tgtlbl_gt[0]; Tensor sampled_score_index = loc_score_tgtlbl_gt[1]; Tensor sampled_tgtlbl = loc_score_tgtlbl_gt[2]; Tensor sampled_gt_index = loc_score_tgtlbl_gt[3]; Tensor sampled_bbox_inside_weight = loc_score_tgtlbl_gt[4]; int loc_num = sampled_loc_index.dims()[0]; int score_num = sampled_score_index.dims()[0]; // unmap to all anchor Tensor sampled_loc_index_unmap, sampled_score_index_unmap; sampled_loc_index_unmap.mutable_data({loc_num}, place); sampled_score_index_unmap.mutable_data({score_num}, place); Gather(inds_inside.data(), 1, sampled_loc_index.data(), loc_num, sampled_loc_index_unmap.data()); Gather(inds_inside.data(), 1, sampled_score_index.data(), score_num, sampled_score_index_unmap.data()); // get target bbox deltas Tensor sampled_anchor, sampled_gt, sampled_tgt_bbox; auto* sampled_anchor_data = sampled_anchor.mutable_data({loc_num, 4}, place); auto* sampled_gt_data = sampled_gt.mutable_data({loc_num, 4}, place); Gather(anchor->data(), 4, sampled_loc_index_unmap.data(), loc_num, sampled_anchor_data); Gather(ncrowd_gt_boxes.data(), 4, sampled_gt_index.data(), loc_num, sampled_gt_data); sampled_tgt_bbox.mutable_data({loc_num, 4}, place); BoxToDelta(loc_num, sampled_anchor, sampled_gt, nullptr, false, &sampled_tgt_bbox); // Add anchor offset int anchor_offset = i * anchor_num; auto sampled_loc_index_unmap_et = framework::EigenTensor::From(sampled_loc_index_unmap); sampled_loc_index_unmap_et = sampled_loc_index_unmap_et + anchor_offset; auto sampled_score_index_unmap_et = framework::EigenTensor::From(sampled_score_index_unmap); sampled_score_index_unmap_et = sampled_score_index_unmap_et + anchor_offset; AppendRpns(loc_index, total_loc_num, &sampled_loc_index_unmap); AppendRpns(score_index, total_score_num, &sampled_score_index_unmap); AppendRpns(tgt_bbox, total_loc_num * 4, &sampled_tgt_bbox); AppendRpns(tgt_lbl, total_score_num, &sampled_tgtlbl); AppendRpns(bbox_inside_weight, total_loc_num * 4, &sampled_bbox_inside_weight); total_loc_num += loc_num; total_score_num += score_num; lod0_loc.emplace_back(total_loc_num); lod0_score.emplace_back(total_score_num); } PADDLE_ENFORCE_LE(total_loc_num, max_num); PADDLE_ENFORCE_LE(total_score_num, max_num); lod_loc.emplace_back(lod0_loc); loc_score.emplace_back(lod0_score); loc_index->set_lod(lod_loc); score_index->set_lod(loc_score); tgt_bbox->set_lod(lod_loc); tgt_lbl->set_lod(loc_score); bbox_inside_weight->set_lod(lod_loc); loc_index->Resize({total_loc_num}); score_index->Resize({total_score_num}); tgt_bbox->Resize({total_loc_num, 4}); tgt_lbl->Resize({total_score_num, 1}); bbox_inside_weight->Resize({total_loc_num, 4}); } }; class RpnTargetAssignOpMaker : public framework::OpProtoAndCheckerMaker { public: void Make() override { AddInput("Anchor", "(Tensor) input anchor is a 2-D Tensor with shape [H*W*A, 4]."); AddInput("GtBoxes", "(LoDTensor) input groud-truth bbox with shape [K, 4]."); AddInput("IsCrowd", "(LoDTensor) input which indicates groud-truth is crowd."); AddInput("ImInfo", "(LoDTensor) input image information with shape [N, 3]. " "N is the batch size, each image information includes height, " "width and scale."); AddAttr("rpn_batch_size_per_im", "Total number of RPN examples per image.") .SetDefault(256); AddAttr( "rpn_straddle_thresh", "Remove RPN anchors that go outside the image by straddle_thresh " "pixels, " "Set to -1 or a large value, e.g. 100000, to disable pruning anchors."); AddAttr( "rpn_positive_overlap", "Minimum overlap required between an anchor and ground-truth " "box for the (anchor, gt box) pair to be a positive example.") .SetDefault(0.7); AddAttr( "rpn_negative_overlap", "Maximum overlap allowed between an anchor and ground-truth " "box for the (anchor, gt box) pair to be a negative examples.") .SetDefault(0.3); AddAttr( "rpn_fg_fraction", "Target fraction of RoI minibatch that " "is labeled foreground (i.e. class > 0), 0-th class is background.") .SetDefault(0.25); AddAttr("use_random", "A flag indicating whether to use a ReservoirSampling. " "NOTE: DO NOT set this flag to false in training. " "Setting this flag to false is only useful in unittest.") .SetDefault(true); AddOutput( "LocationIndex", "(Tensor), The indexes of foreground anchors in all RPN anchors, the " "shape of the LocationIndex is [F], F depends on the value of input " "tensor and attributes."); AddOutput( "ScoreIndex", "(Tensor), The indexes of foreground and background anchors in all " "RPN anchors(The rest anchors are ignored). The shape of the " "ScoreIndex is [F + B], F and B are sampled foreground and backgroud " " number."); AddOutput("TargetBBox", "(Tensor), The target bbox deltas with shape " "[F, 4], F is the sampled foreground number."); AddOutput( "TargetLabel", "(Tensor), The target labels of each anchor with shape " "[F + B, 1], F and B are sampled foreground and backgroud number."); AddOutput("BBoxInsideWeight", "(Tensor), The bbox inside weight with shape " "[F, 4], F is the sampled foreground number."); AddComment(R"DOC( This operator can be, for a given set of ground truth bboxes and the anchors, to assign classification and regression targets to each prediction. The ScoreIndex and LocationIndex will be generated according to the anchor-groundtruth IOU. The rest anchors would not contibute to the RPN training loss ScoreIndex is composed of foreground anchor indexes(positive labels) and background anchor indexes(negative labels). LocationIndex is exactly same as the foreground anchor indexes since we can not assign regression target to the background anchors. The classification targets(TargetLabel) is a binary class label (of being an object or not). Following the paper of Faster-RCNN, the positive labels are two kinds of anchors: (i) the anchor/anchors with the highest IoU overlap with a ground-truth box, or (ii) an anchor that has an IoU overlap higher than rpn_positive_overlap(0.7) with any ground-truth box. Note that a single ground-truth box may assign positive labels to multiple anchors. A non-positive anchor is when its IoU ratio is lower than rpn_negative_overlap (0.3) for all ground-truth boxes. Anchors that are neither positive nor negative do not contribute to the training objective. )DOC"); } }; } // namespace operators } // namespace paddle namespace ops = paddle::operators; REGISTER_OPERATOR(rpn_target_assign, ops::RpnTargetAssignOp, ops::RpnTargetAssignOpMaker, paddle::framework::EmptyGradOpMaker); REGISTER_OP_CPU_KERNEL(rpn_target_assign, ops::RpnTargetAssignKernel, ops::RpnTargetAssignKernel);