diff --git a/README.md b/README.md index 6b71edb..760b438 100644 --- a/README.md +++ b/README.md @@ -32,3 +32,7 @@ Ascend tools，昇腾工具仓库。 6. [pt2pb](https://gitee.com/ascend/tools/tree/master/pt2pb) **pytorch模型转tensorflow pb模型工具**：输入pytorch权重参数模型，转为onnx，再转为pb模型 + +7. [dnmetis](https://gitee.com/ascend/tools/tree/master/dnmetis) + + **NPU推理精度和性能测试工具**：使用Python封装ACL的C++接口，输入om模型和原始数据集图片、标签，即可执行模型推理，输出精度数据和性能数据 diff --git a/README_EN.md b/README_EN.md index 335f593..54aa3f1 100644 --- a/README_EN.md +++ b/README_EN.md @@ -32,5 +32,9 @@ Ascend tools **pytorch model transform to tensorflow pb model tool**：input pytorch weights parameters model，transform to onnx file，then transform to pb model +7. [dnmetis](https://gitee.com/ascend/tools/tree/master/dnmetis) + + **Test tool for NPU inference precision and performance**：Using Python to encapsulate the C++ interface of ACL, inputting om model and original dataset images and tags, we can execute model inference and give out precision and performance of the om model + diff --git a/dnmetis/.keep b/dnmetis/.keep new file mode 100644 index 0000000..e69de29 diff --git a/dnmetis/README.md b/dnmetis/README.md new file mode 100644 index 0000000..06d2103 --- /dev/null +++ b/dnmetis/README.md @@ -0,0 +1,114 @@ +中文|[英文](README_EN.md) + +## 1.安装依赖： +``` +pip3.7.5 install python-opencv +cd backend_C++/dnmetis_backend +pip3.7.5 setup.py install +``` +安装dnmetis_backend的细节可以在backend_C++/dnmetis_backend/README.md看到，对于一个全新的Ai1推理环境，只需要安装一次依赖，不需要重复安装。 + +## 2.下载om模型(.om) + +如下示例展示如果在NPU上运行efficientnet-b8模型:\ +1.下载efficientnet-b8 model(.om): \ +链接：[百度网盘](https://pan.baidu.com/s/1N-kpQoDe3NRxvjFKjAT9AA) \ +提取码：tvg0 +下载的om模型放到model文件夹. + +原生的TensorFlow模型efficientnet-b8(.pb):\ +链接：[百度网盘](https://pan.baidu.com/s/1CajdSlNTh6k35RoyOn-3Ug)\ +提取码：slqm + +如果想了解如果从pb模型如何转换成om模型，请下载efficientnet-b8.pb模型，使用ATC模型转换工具，或者执行转换命令：\ +.atc --model=MODELDIR/efficientnet−b8.pb −−framework=3 −−inputshape=′images:1,672,672,3′−−output=MODELDIR/efficientnet-b8 --mode=0 --out_nodes='Softmax:0' --soc_version=Ascend310 --input_fp16_nodes=images --output_type=FP16 + +2.Imagenet-val数据集和标签: + +这里的示例仅仅展示了从Imagenet-val数据集挑选的10张图片：/ +![输入图片说明](https://images.gitee.com/uploads/images/2020/0918/234302_a572d632_5418572.jpeg "无标题.jpg") + + + +## 3.执行推理: +建议提交的PR代码统一使用run_inference.sh作为入口：\ +bash run_inference.sh + +执行日志: +``` +[INFO] start backend_predict is -1518493925 +[INFO] start Execute is -1518490258 +[INFO] model execute success +[INFO] end Execute is -1518350716 +[INFO] npu compute cost 139.476000 ms +[INFO] 1.output data success +[INFO] 2.output data success +[INFO] execute sample success +[INFO] Pure device execute time is 0.000000 ms +[INFO] end backend_predict is -1518346882 +img_orig: ILSVRC2012_val_00000010.JPEG label: 332 predictions: 332 + +Predict total jpeg: 10 Accuracy: 0.8 +``` +如上所示, "139.476 ms"是NPU的推理时间，"0.8" 是10张图片的top1精度。 + +## 4.完整的5w张Imagenet2012-val数据集精度: + +![输入图片说明](https://images.gitee.com/uploads/images/2020/0919/010210_5cf496fc_5418572.png "屏幕截图.png") + + +## 5.main.py修改点: + +如果需要使用你自己的模型来推理和计算精度，请修改main.py\ +只需要关心数据集、预处理和后处理代码部分： + +### 预处理: +``` +def resize_with_aspectratio(img, out_height, out_width, scale=87.5, inter_pol=cv2.INTER_LINEAR): + height, width = img.shape[:2] + new_height = int(100. * out_height / scale) + new_width = int(100. * out_width / scale) + if height > width: + w = new_width + h = int(new_height * height / width) + else: + h = new_height + w = int(new_width * width / height) + img = cv2.resize(img, (w, h), interpolation=inter_pol) + return img + +def center_crop(img, out_height, out_width): + height, width = img.shape[:2] + left = int((width - out_width) / 2) + right = int((width + out_width) / 2) + top = int((height - out_height) / 2) + bottom = int((height + out_height) / 2) + img = img[top:bottom, left:right] + return img +def pre_process_noisy(img, dims=None, precision="fp32"): + img = cv2.cvtColor(img, cv2.COLOR_BGR2RGB) + output_height, output_width, _ = dims + cv2_interpol = cv2.INTER_CUBIC + img = resize_with_aspectratio(img, output_height, output_width, inter_pol=cv2_interpol) + img = center_crop(img, output_height, output_width) + MEAN_RGB = [0.485 * 255, 0.456 * 255, 0.406 * 255] + STDDEV_RGB = [0.229 * 255, 0.224 * 255, 0.225 * 255] + + if precision=="fp32": + img = np.asarray(img, dtype='float32') + if precision=="fp16": + img = np.asarray(img, dtype='float16') + + means = np.array([0.485 * 255, 0.456 * 255, 0.406 * 255], dtype=np.float32) + img -= means + stddev = np.array([0.229 * 255, 0.224 * 255, 0.225 * 255], dtype=np.float32) + img /= stddev + return img +``` + +### 推理和后处理: +``` + predictions = backend.predict(args.feed[i]) + #print(args.feed[i].shape) + print('img_orig:',args.image_list[i],'label:',args.label_list[i],'predictions:',np.argmax(predictions),'\n') +``` \ No newline at end of file diff --git a/dnmetis/README_EN.md b/dnmetis/README_EN.md new file mode 100644 index 0000000..7b7174e --- /dev/null +++ b/dnmetis/README_EN.md @@ -0,0 +1,114 @@ +EN|[CH](README.md) + +## 1.Install requirements： +``` +pip3.7.5 install python-opencv +cd backend_C++/dnmetis_backend +pip3.7.5 setup.py install +``` +Details of dnmetis_backend installation can be found in backend_C++/dnmetis_backend/README.md. Notice that, you just need to install requirements once for a brand new Ai1-Inference environment。 + +## 2.Download model(.om) + +Here is an example of how to run npu inference of efficientnet-b8:\ +1.download efficientnet-b8 model(.om): \ +URL：[baidu pan](https://pan.baidu.com/s/1N-kpQoDe3NRxvjFKjAT9AA) \ +Extracted code：tvg0 + +Original tensorflow model of efficientnet-b8(.pb):\ +URL：[baidu pan](https://pan.baidu.com/s/1CajdSlNTh6k35RoyOn-3Ug)\ +Extracted code：slqm + +If you want to acknowledge how to generate om from pb，pls download efficientnet-b8.pb and execute ATC cmd：\ +.atc --model=MODELDIR/efficientnet−b8.pb −−framework=3 −−inputshape=′images:1,672,672,3′−−output=MODELDIR/efficientnet-b8 --mode=0 --out_nodes='Softmax:0' --soc_version=Ascend310 --input_fp16_nodes=images --output_type=FP16 + +2.Imagenet-val dataset and labels in val_map.txt: + +Here is an example of 10 pictures of Imagenet-val dataset：/ +![输入图片说明](https://images.gitee.com/uploads/images/2020/0918/234302_a572d632_5418572.jpeg "无标题.jpg") + + + +## 3.Start execute the inference: + +bash run_inference.sh + +Log: +``` +[INFO] start backend_predict is -1518493925 +[INFO] start Execute is -1518490258 +[INFO] model execute success +[INFO] end Execute is -1518350716 +[INFO] npu compute cost 139.476000 ms +[INFO] 1.output data success +[INFO] 2.output data success +[INFO] execute sample success +[INFO] Pure device execute time is 0.000000 ms +[INFO] end backend_predict is -1518346882 +img_orig: ILSVRC2012_val_00000010.JPEG label: 332 predictions: 332 + +Predict total jpeg: 10 Accuracy: 0.8 +``` +As you seen, "139.47 ms" is the npu inference time，"0.8" is the top1 Accuracy of 10 pictures。 + +## 4.Top1 Accuracy of entire Imagenet2012-val Datasets(5w pictures): + +![输入图片说明](https://images.gitee.com/uploads/images/2020/0919/010210_5cf496fc_5418572.png "屏幕截图.png") + + +## 5.modify main.py for your own model: + +Only need to concern about the dataset，pre-process，post-process： + +### pre-process: +``` +def resize_with_aspectratio(img, out_height, out_width, scale=87.5, inter_pol=cv2.INTER_LINEAR): + height, width = img.shape[:2] + new_height = int(100. * out_height / scale) + new_width = int(100. * out_width / scale) + if height > width: + w = new_width + h = int(new_height * height / width) + else: + h = new_height + w = int(new_width * width / height) + img = cv2.resize(img, (w, h), interpolation=inter_pol) + return img + +def center_crop(img, out_height, out_width): + height, width = img.shape[:2] + left = int((width - out_width) / 2) + right = int((width + out_width) / 2) + top = int((height - out_height) / 2) + bottom = int((height + out_height) / 2) + img = img[top:bottom, left:right] + return img +def pre_process_noisy(img, dims=None, precision="fp32"): + img = cv2.cvtColor(img, cv2.COLOR_BGR2RGB) + output_height, output_width, _ = dims + cv2_interpol = cv2.INTER_CUBIC + img = resize_with_aspectratio(img, output_height, output_width, inter_pol=cv2_interpol) + img = center_crop(img, output_height, output_width) + MEAN_RGB = [0.485 * 255, 0.456 * 255, 0.406 * 255] + STDDEV_RGB = [0.229 * 255, 0.224 * 255, 0.225 * 255] + + if precision=="fp32": + img = np.asarray(img, dtype='float32') + if precision=="fp16": + img = np.asarray(img, dtype='float16') + + means = np.array([0.485 * 255, 0.456 * 255, 0.406 * 255], dtype=np.float32) + img -= means + stddev = np.array([0.229 * 255, 0.224 * 255, 0.225 * 255], dtype=np.float32) + img /= stddev + return img +``` + +### inference and post-process: +``` + predictions = backend.predict(args.feed[i]) + #print(args.feed[i].shape) + print('img_orig:',args.image_list[i],'label:',args.label_list[i],'predictions:',np.argmax(predictions),'\n') +``` + + diff --git a/dnmetis/backend/__pycache__/backend.cpython-37.pyc b/dnmetis/backend/__pycache__/backend.cpython-37.pyc new file mode 100644 index 0000000..a629cf6 Binary files /dev/null and b/dnmetis/backend/__pycache__/backend.cpython-37.pyc differ diff --git a/dnmetis/backend/__pycache__/backend_acl.cpython-37.pyc b/dnmetis/backend/__pycache__/backend_acl.cpython-37.pyc new file mode 100644 index 0000000..5d0e825 Binary files /dev/null and b/dnmetis/backend/__pycache__/backend_acl.cpython-37.pyc differ diff --git a/dnmetis/backend/backend.py b/dnmetis/backend/backend.py new file mode 100644 index 0000000..758c860 --- /dev/null +++ b/dnmetis/backend/backend.py @@ -0,0 +1,26 @@ +""" +abstract backend class +""" + + +# pylint: disable=unused-argument,missing-docstring + +class Backend(): + def __init__(self): + self.inputs = [] + self.outputs = [] + + def version(self): + raise NotImplementedError("Backend:version") + + def name(self): + raise NotImplementedError("Backend:name") + + def load(self, args): + raise NotImplementedError("Backend:load") + + def predict(self, feed): + raise NotImplementedError("Backend:predict") + + def get_predict_time(self): + return 0 diff --git a/dnmetis/backend/backend_acl.py b/dnmetis/backend/backend_acl.py new file mode 100644 index 0000000..5733323 --- /dev/null +++ b/dnmetis/backend/backend_acl.py @@ -0,0 +1,64 @@ +""" +acl backend +""" + + +import dnmetis_backend as dnmetis_backend +import backend.backend as backend +import numpy as np +import os +import pdb + +class AclBackend(backend.Backend): + def __init__(self): + super(AclBackend, self).__init__() + self.ACL=5 + self.outputs = "" + self.inputs = "" + self.model_path = "" + self.cfg_path = "" + + def version(self): + return "1.0" + + def name(self): + return "AclBackend" + + def image_format(self): + # By default tensorflow uses NHWC (and the cpu implementation only does NHWC) + return "NHWC" + + def load(self, args): + # there is no input/output meta data i the graph so it need to come from config. + if not args.inputs: + raise ValueError("AclBackend needs inputs") + if not args.outputs: + raise ValueError("AclBackend needs outputs") + self.outputs = args.outputs + self.inputs = args.inputs + self.model_path = args.model + self.cfg_path = args.cfg_path + #s.path.join(args.pwd, 'backend_cfg/built-in_config.txt') + dnmetis_backend.backend_setconfig(self.cfg_path) + dnmetis_backend.backend_load(self.ACL,self.model_path,"") + return self + + def predict(self, feed): + #fed=feed[self.inputs[0]] + result_list=[] + result = dnmetis_backend.backend_predict(self.ACL,self.model_path,feed) + + for _ in range(len(self.outputs)): + #resnet50 tf & caffe + if 'softmax_tensor' in self.outputs[_] or 'prob' in self.outputs[_]: + result_list.append(np.argmax(result[_],1)) + # resnet50 tf + if 'ArgMax' in self.outputs[_]: + result_list.append(result[_]) + if result_list == []: + # ssd-resnet34 tf + result_list = result + return result_list + + def unload(self): + return dnmetis_backend.backend_unload(self.ACL,self.model_path,"") diff --git a/dnmetis/backend_C++/.keep b/dnmetis/backend_C++/.keep new file mode 100644 index 0000000..e69de29 diff --git a/dnmetis/backend_C++/dnmetis_backend/.keep b/dnmetis/backend_C++/dnmetis_backend/.keep new file mode 100644 index 0000000..e69de29 diff --git a/dnmetis/backend_C++/dnmetis_backend/LICENSE b/dnmetis/backend_C++/dnmetis_backend/LICENSE new file mode 100644 index 0000000..99f6068 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/LICENSE @@ -0,0 +1,36 @@ +Copyright (c) 2016 The Pybind Development Team, All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are met: + +1. Redistributions of source code must retain the above copyright notice, this + list of conditions and the following disclaimer. + +2. Redistributions in binary form must reproduce the above copyright notice, + this list of conditions and the following disclaimer in the documentation + and/or other materials provided with the distribution. + +3. Neither the name of the copyright holder nor the names of its contributors + may be used to endorse or promote products derived from this software + without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND +ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED +WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE +DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE +FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL +DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR +SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, +OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + +You are under no obligation whatsoever to provide any bug fixes, patches, or +upgrades to the features, functionality or performance of the source code +("Enhancements") to anyone; however, if you choose to make your Enhancements +available either publicly, or directly to the author of this software, without +imposing a separate written license agreement for such Enhancements, then you +hereby grant the following license: a non-exclusive, royalty-free perpetual +license to install, use, modify, prepare derivative works, incorporate into +other computer software, distribute, and sublicense such enhancements or +derivative works thereof, in binary and source code form. diff --git a/dnmetis/backend_C++/dnmetis_backend/README.md b/dnmetis/backend_C++/dnmetis_backend/README.md new file mode 100644 index 0000000..8eee1a1 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/README.md @@ -0,0 +1,87 @@ +## dnmetis_backend + + It contains one AclBackend(C++), It can be called by DNMetis when tester tests NPU perf&accuracy + + The third-party C++ Backends can be easily added + +1.install dnmetis_backend + + python3.7.5 setup.py install + +2.Install log: + +/usr/local/python3.7.5/lib/python3.7/site-packages/setuptools/dist.py:474: UserWarning: Normalizing 'V1.0.2' to '1.0.2' + normalized_version, +running install +running bdist_egg +running egg_info +creating dnmetis_backend.egg-info +writing dnmetis_backend.egg-info/PKG-INFO +writing dependency_links to dnmetis_backend.egg-info/dependency_links.txt +writing top-level names to dnmetis_backend.egg-info/top_level.txt +writing manifest file 'dnmetis_backend.egg-info/SOURCES.txt' +reading manifest file 'dnmetis_backend.egg-info/SOURCES.txt' +writing manifest file 'dnmetis_backend.egg-info/SOURCES.txt' +installing library code to build/bdist.linux-x86_64/egg +running install_lib +running build_ext +creating tmp +gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O3 -Wall -fPIC -I/usr/local/python3.7.5/include/python3.7m -c /tmp/tmp4o2xo183.cpp -o tmp/tmp4o2xo183.o -std=c++14 +gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O3 -Wall -fPIC -I/usr/local/python3.7.5/include/python3.7m -c /tmp/tmptazg09at.cpp -o tmp/tmptazg09at.o -fvisibility=hidden +building 'dnmetis_backend' extension +creating build +creating build/temp.linux-x86_64-3.7 +creating build/temp.linux-x86_64-3.7/src +creating build/temp.linux-x86_64-3.7/backend +creating build/temp.linux-x86_64-3.7/backend/built-in +creating build/temp.linux-x86_64-3.7/backend/built-in/src +creating build/temp.linux-x86_64-3.7/backend/custom +gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O3 -Wall -fPIC -DVERSION_INFO="1.0.2" -I/home/c00506053/dnmetis/backend_C++/dnmetis_backend/.eggs/pybind11-2.5.0-py3.7.egg/pybind11/include -I./inc/ -I./backend/inc -I./backend/built-in -I./backend/built-in/inc -I./backend/custom -I./backend/custom/inc -I/usr/local/Ascend/acllib/include/ -I/usr/local/python3.7.5/include/python3.7m -c src/main.cpp -o build/temp.linux-x86_64-3.7/src/main.o -w -O0 -fpermissive -std=c++14 -fvisibility=hidden +gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O3 -Wall -fPIC -DVERSION_INFO="1.0.2" -I/home/c00506053/dnmetis/backend_C++/dnmetis_backend/.eggs/pybind11-2.5.0-py3.7.egg/pybind11/include -I./inc/ -I./backend/inc -I./backend/built-in -I./backend/built-in/inc -I./backend/custom -I./backend/custom/inc -I/usr/local/Ascend/acllib/include/ -I/usr/local/python3.7.5/include/python3.7m -c src/Config.cpp -o build/temp.linux-x86_64-3.7/src/Config.o -w -O0 -fpermissive -std=c++14 -fvisibility=hidden +gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O3 -Wall -fPIC -DVERSION_INFO="1.0.2" -I/home/c00506053/dnmetis/backend_C++/dnmetis_backend/.eggs/pybind11-2.5.0-py3.7.egg/pybind11/include -I./inc/ -I./backend/inc -I./backend/built-in -I./backend/built-in/inc -I./backend/custom -I./backend/custom/inc -I/usr/local/Ascend/acllib/include/ -I/usr/local/python3.7.5/include/python3.7m -c backend/BaseBackend.cpp -o build/temp.linux-x86_64-3.7/backend/BaseBackend.o -w -O0 -fpermissive -std=c++14 -fvisibility=hidden +gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O3 -Wall -fPIC -DVERSION_INFO="1.0.2" -I/home/c00506053/dnmetis/backend_C++/dnmetis_backend/.eggs/pybind11-2.5.0-py3.7.egg/pybind11/include -I./inc/ -I./backend/inc -I./backend/built-in -I./backend/built-in/inc -I./backend/custom -I./backend/custom/inc -I/usr/local/Ascend/acllib/include/ -I/usr/local/python3.7.5/include/python3.7m -c backend/BackendFactory.cpp -o build/temp.linux-x86_64-3.7/backend/BackendFactory.o -w -O0 -fpermissive -std=c++14 -fvisibility=hidden +gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O3 -Wall -fPIC -DVERSION_INFO="1.0.2" -I/home/c00506053/dnmetis/backend_C++/dnmetis_backend/.eggs/pybind11-2.5.0-py3.7.egg/pybind11/include -I./inc/ -I./backend/inc -I./backend/built-in -I./backend/built-in/inc -I./backend/custom -I./backend/custom/inc -I/usr/local/Ascend/acllib/include/ -I/usr/local/python3.7.5/include/python3.7m -c backend/built-in/aclbackend.cpp -o build/temp.linux-x86_64-3.7/backend/built-in/aclbackend.o -w -O0 -fpermissive -std=c++14 -fvisibility=hidden +gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O3 -Wall -fPIC -DVERSION_INFO="1.0.2" -I/home/c00506053/dnmetis/backend_C++/dnmetis_backend/.eggs/pybind11-2.5.0-py3.7.egg/pybind11/include -I./inc/ -I./backend/inc -I./backend/built-in -I./backend/built-in/inc -I./backend/custom -I./backend/custom/inc -I/usr/local/Ascend/acllib/include/ -I/usr/local/python3.7.5/include/python3.7m -c backend/built-in/src/model_process.cpp -o build/temp.linux-x86_64-3.7/backend/built-in/src/model_process.o -w -O0 -fpermissive -std=c++14 -fvisibility=hidden +gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O3 -Wall -fPIC -DVERSION_INFO="1.0.2" -I/home/c00506053/dnmetis/backend_C++/dnmetis_backend/.eggs/pybind11-2.5.0-py3.7.egg/pybind11/include -I./inc/ -I./backend/inc -I./backend/built-in -I./backend/built-in/inc -I./backend/custom -I./backend/custom/inc -I/usr/local/Ascend/acllib/include/ -I/usr/local/python3.7.5/include/python3.7m -c backend/built-in/src/sample_process.cpp -o build/temp.linux-x86_64-3.7/backend/built-in/src/sample_process.o -w -O0 -fpermissive -std=c++14 -fvisibility=hidden +gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O3 -Wall -fPIC -DVERSION_INFO="1.0.2" -I/home/c00506053/dnmetis/backend_C++/dnmetis_backend/.eggs/pybind11-2.5.0-py3.7.egg/pybind11/include -I./inc/ -I./backend/inc -I./backend/built-in -I./backend/built-in/inc -I./backend/custom -I./backend/custom/inc -I/usr/local/Ascend/acllib/include/ -I/usr/local/python3.7.5/include/python3.7m -c backend/built-in/src/utils.cpp -o build/temp.linux-x86_64-3.7/backend/built-in/src/utils.o -w -O0 -fpermissive -std=c++14 -fvisibility=hidden +gcc -pthread -Wno-unused-result -Wsign-compare -DNDEBUG -g -fwrapv -O3 -Wall -fPIC -DVERSION_INFO="1.0.2" -I/home/c00506053/dnmetis/backend_C++/dnmetis_backend/.eggs/pybind11-2.5.0-py3.7.egg/pybind11/include -I./inc/ -I./backend/inc -I./backend/built-in -I./backend/built-in/inc -I./backend/custom -I./backend/custom/inc -I/usr/local/Ascend/acllib/include/ -I/usr/local/python3.7.5/include/python3.7m -c backend/custom/trtbackend.cpp -o build/temp.linux-x86_64-3.7/backend/custom/trtbackend.o -w -O0 -fpermissive -std=c++14 -fvisibility=hidden +creating build/lib.linux-x86_64-3.7 +g++ -pthread -shared build/temp.linux-x86_64-3.7/src/main.o build/temp.linux-x86_64-3.7/src/Config.o build/temp.linux-x86_64-3.7/backend/BaseBackend.o build/temp.linux-x86_64-3.7/backend/BackendFactory.o build/temp.linux-x86_64-3.7/backend/built-in/aclbackend.o build/temp.linux-x86_64-3.7/backend/built-in/src/model_process.o build/temp.linux-x86_64-3.7/backend/built-in/src/sample_process.o build/temp.linux-x86_64-3.7/backend/built-in/src/utils.o build/temp.linux-x86_64-3.7/backend/custom/trtbackend.o -L/usr/local/Ascend/acllib/lib64/ -L/usr/local/python3.7.5/lib -lascendcl -lpython3.7m -o build/lib.linux-x86_64-3.7/dnmetis_backend.cpython-37m-x86_64-linux-gnu.so -O0 +creating build/bdist.linux-x86_64 +creating build/bdist.linux-x86_64/egg +copying build/lib.linux-x86_64-3.7/dnmetis_backend.cpython-37m-x86_64-linux-gnu.so -> build/bdist.linux-x86_64/egg +creating stub loader for dnmetis_backend.cpython-37m-x86_64-linux-gnu.so +byte-compiling build/bdist.linux-x86_64/egg/dnmetis_backend.py to dnmetis_backend.cpython-37.pyc +creating build/bdist.linux-x86_64/egg/EGG-INFO +copying dnmetis_backend.egg-info/PKG-INFO -> build/bdist.linux-x86_64/egg/EGG-INFO +copying dnmetis_backend.egg-info/SOURCES.txt -> build/bdist.linux-x86_64/egg/EGG-INFO +copying dnmetis_backend.egg-info/dependency_links.txt -> build/bdist.linux-x86_64/egg/EGG-INFO +copying dnmetis_backend.egg-info/not-zip-safe -> build/bdist.linux-x86_64/egg/EGG-INFO +copying dnmetis_backend.egg-info/top_level.txt -> build/bdist.linux-x86_64/egg/EGG-INFO +writing build/bdist.linux-x86_64/egg/EGG-INFO/native_libs.txt +creating dist +creating 'dist/dnmetis_backend-1.0.2-py3.7-linux-x86_64.egg' and adding 'build/bdist.linux-x86_64/egg' to it +removing 'build/bdist.linux-x86_64/egg' (and everything under it) +Processing dnmetis_backend-1.0.2-py3.7-linux-x86_64.egg +removing '/usr/local/python3.7.5/lib/python3.7/site-packages/dnmetis_backend-1.0.2-py3.7-linux-x86_64.egg' (and everything under it) +creating /usr/local/python3.7.5/lib/python3.7/site-packages/dnmetis_backend-1.0.2-py3.7-linux-x86_64.egg +Extracting dnmetis_backend-1.0.2-py3.7-linux-x86_64.egg to /usr/local/python3.7.5/lib/python3.7/site-packages +dnmetis-backend 1.0.2 is already the active version in easy-install.pth + +Installed /usr/local/python3.7.5/lib/python3.7/site-packages/dnmetis_backend-1.0.2-py3.7-linux-x86_64.egg +Processing dependencies for dnmetis-backend==1.0.2 +Finished processing dependencies for dnmetis-backend==1.0.2 + + +3、Check result of installation:\ +"dnmetis-backend" will be seen +````pip3.7.5 list +Packag Version +--------------- --------- +attrs 20.2.0 +certifi 2020.6.20 +cffi 1.14.2 +chardet 3.0.4 +decorator 4.4.2 +dnmetis-backend 1.0.2 +grpcio 1.31.0 \ No newline at end of file diff --git a/dnmetis/backend_C++/dnmetis_backend/backend/BackendFactory.cpp b/dnmetis/backend_C++/dnmetis_backend/backend/BackendFactory.cpp new file mode 100644 index 0000000..e184187 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/backend/BackendFactory.cpp @@ -0,0 +1,61 @@ +/** + * Copyright 2020 Huawei Technologies Co., Ltd + + * 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 "BackendFactory.h" + +BackendFactory *BackendFactory::Instance() { + static BackendFactory instance; + return &instance; +} + +int BackendFactory::Init() { + if (!is_init_) { + std::string skt_bin = "libaclbackend.so"; + //handle_ = dlopen(skt_bin.c_str(), RTLD_NOW | RTLD_GLOBAL); + //if (handle_ == nullptr) { + // GELOGE(FAILED, "SKT: open skt lib failed, please check LD_LIBRARY_PATH."); + //} + } + is_init_ = true; + + return 0; +} + + +std::shared_ptr BackendFactory::CreateBaseBackend(const FrameworkType type) { + std::map::iterator iter = creator_map_.find(type); + if (iter != creator_map_.end()) { + return iter->second(); + } + + return nullptr; +} + +void BackendFactory::RegisterCreator(const FrameworkType type, BASE_BACKEND_CREATOR_FUN fun) { + std::map::iterator iter = creator_map_.find(type); + if (iter != creator_map_.end()) { + return; + } + + creator_map_[type] = fun; +} + +BackendFactory::~BackendFactory() { + creator_map_.clear(); +} + + + diff --git a/dnmetis/backend_C++/dnmetis_backend/backend/BaseBackend.cpp b/dnmetis/backend_C++/dnmetis_backend/backend/BaseBackend.cpp new file mode 100644 index 0000000..ad5d9b2 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/backend/BaseBackend.cpp @@ -0,0 +1,49 @@ +/** + * Copyright 2020 Huawei Technologies Co., Ltd + + * 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 "BaseBackend.h" + + + +int BaseBackend::param() +{ + return 0; +} + +int BaseBackend::runner() +{ + return 0; +} + +int BaseBackend::runnerthread() +{ + return 0; +} + +int BaseBackend::statistic() +{ + return 0; +} + + + + + + + + + + diff --git a/dnmetis/backend_C++/dnmetis_backend/backend/built-in/aclbackend.cpp b/dnmetis/backend_C++/dnmetis_backend/backend/built-in/aclbackend.cpp new file mode 100644 index 0000000..0d00fb4 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/backend/built-in/aclbackend.cpp @@ -0,0 +1,46 @@ +#include "aclbackend.h" + + +CREATE_BACKEND_INIT(AclBackend,model,data) +{ + Result ret = processSample.InitResource(model); + if (ret != SUCCESS) { + ERROR_LOG("sample init resource failed"); + return FAILED; + } + return SUCCESS; +} + +CREATE_BACKEND_LOAD(AclBackend,model,data) +{ + INFO_LOG("AclBackend LOAD model success"); + return SUCCESS; +} + +CREATE_BACKEND_PREDICT(AclBackend,model,data,len,output,npuTime) +{ + Result ret = processSample.Process(data,len,output,npuTime); + if (ret != SUCCESS) { + ERROR_LOG("sample process failed"); + return FAILED; + } + INFO_LOG("execute sample success"); + return SUCCESS; +} + +CREATE_BACKEND_UNLOAD(AclBackend,model,data) +{ + Result ret = processSample.Unload(); + if (ret != SUCCESS) { + ERROR_LOG("sample unload failed"); + return FAILED; + } + INFO_LOG("AclBackend UNLOAD model success"); + return SUCCESS; +} + + + +REGISTER_BASE_BACKEND_CREATOR(ACL, AclBackend) + + diff --git a/dnmetis/backend_C++/dnmetis_backend/backend/built-in/aclbackend.h b/dnmetis/backend_C++/dnmetis_backend/backend/built-in/aclbackend.h new file mode 100644 index 0000000..51945c1 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/backend/built-in/aclbackend.h @@ -0,0 +1,8 @@ +#include "BackendFactory.h" +#include "sample_process.h" +#include +using namespace std; + +CREATE_BACKEND(AclBackend) + +SampleProcess processSample; diff --git a/dnmetis/backend_C++/dnmetis_backend/backend/built-in/inc/model_process.h b/dnmetis/backend_C++/dnmetis_backend/backend/built-in/inc/model_process.h new file mode 100644 index 0000000..0b57135 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/backend/built-in/inc/model_process.h @@ -0,0 +1,113 @@ +/** +* @file model_process.h +* +* Copyright (C) 2020. Huawei Technologies Co., Ltd. All rights reserved. +* +* This program is distributed in the hope that it will be useful, +* but WITHOUT ANY WARRANTY; without even the implied warranty of +* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +*/ +#pragma once +#include +#include "utils.h" +#include "acl/acl.h" +#include +using namespace std; + +/** +* ModelProcess +*/ +class ModelProcess { +public: + /** + * @brief Constructor + */ + ModelProcess(); + + /** + * @brief Destructor + */ + ~ModelProcess(); + + /** + * @brief load model from file with mem + * @param [in] modelPath: model path + * @return result + */ + Result LoadModelFromFileWithMem(const char *modelPath); + + /** + * @brief unload model + */ + void Unload(); + + /** + * @brief create model desc + * @return result + */ + Result CreateDesc(); + + /** + * @brief destroy desc + */ + void DestroyDesc(); + + aclmdlDesc *GetDesc(){return modelDesc_;}; + + /** + * @brief create model input + * @param [in] inputDataBuffer: input buffer + * @param [in] bufferSize: input buffer size + * @return result + */ + Result CreateInput(void *inputDataBuffer, size_t bufferSize); + + /** + * @brief destroy input resource + */ + void DestroyInput(); + + /** + * @brief create output buffer + * @return result + */ + Result CreateOutput(); + + /** + * @brief destroy output resource + */ + void DestroyOutput(); + + //void * GetOutput(){return outputdata;}; + + /** + * @brief model execute + * @return result + */ + Result Execute(); + + /** + * @brief dump model output result to file + */ + void DumpModelOutputResult(); + + /** + * @brief get model output result + */ + void OutputModelResult(); + + void OutputModelResult(vector &output); + +public: + uint32_t modelId_; + size_t modelMemSize_; + size_t modelWeightSize_; + void *modelMemPtr_; + void *modelWeightPtr_; + bool loadFlag_; // model load flag + aclmdlDesc *modelDesc_; + aclmdlDataset *input_; + aclmdlDataset *output_; + vector outputdata; +}; + diff --git a/dnmetis/backend_C++/dnmetis_backend/backend/built-in/inc/sample_process.h b/dnmetis/backend_C++/dnmetis_backend/backend/built-in/inc/sample_process.h new file mode 100644 index 0000000..1933120 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/backend/built-in/inc/sample_process.h @@ -0,0 +1,62 @@ +/** +* @file sample_process.h +* +* Copyright (C) 2020. Huawei Technologies Co., Ltd. All rights reserved. +* +* This program is distributed in the hope that it will be useful, +* but WITHOUT ANY WARRANTY; without even the implied warranty of +* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +*/ +#pragma once +#include "utils.h" +#include "acl/acl.h" +#include "model_process.h" +#include +using namespace std; + +/** +* SampleProcess +*/ +class SampleProcess { +public: + /** + * @brief Constructor + */ + SampleProcess(); + + /** + * @brief Destructor + */ + ~SampleProcess(); + + /** + * @brief init reousce + * @return result + */ + Result InitResource(char* omModelPath); + + /** + * @brief sample process + * @return result + */ + //Result Process(char* binfile); + + Result Process(void* binfile,int len); + + Result Process(void* binfile,int len, vector &output, long &npuTime); + + + Result Unload(); + + //ModelProcess GetModelProcess(); + ModelProcess GetModelProcess(){return processModel;}; + +public: + void DestroyResource(); + + int32_t deviceId_; + aclrtContext context_; + aclrtStream stream_; + ModelProcess processModel; +}; + diff --git a/dnmetis/backend_C++/dnmetis_backend/backend/built-in/inc/utils.h b/dnmetis/backend_C++/dnmetis_backend/backend/built-in/inc/utils.h new file mode 100644 index 0000000..23e7734 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/backend/built-in/inc/utils.h @@ -0,0 +1,69 @@ +/** +* @file utils.h +* +* Copyright (C) 2020. Huawei Technologies Co., Ltd. All rights reserved. +* +* This program is distributed in the hope that it will be useful, +* but WITHOUT ANY WARRANTY; without even the implied warranty of +* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +*/ +#pragma once +#include +#include "common.h" +#include +#include "acl/acl_base.h" +//#include "Config.h" +/** +* Utils +*/ + +struct aclmdlTensorDesc { + aclmdlTensorDesc() : name(""), size(0), format(ACL_FORMAT_UNDEFINED), dataType(ACL_DT_UNDEFINED) {} + std::string name; + size_t size; + aclFormat format; + aclDataType dataType; + std::vector dims; +}; + +struct aclmdlDesc { + void Clear() + { + inputDesc.clear(); + outputDesc.clear(); + dynamicBatch.clear(); + dynamicHW.clear(); + } + std::vector inputDesc; + std::vector outputDesc; + std::vector dynamicBatch; + std::vector> dynamicHW; +}; + + + +class Utils { +public: + /** + * @brief create device buffer of file + * @param [in] fileName: file name + * @param [out] fileSize: size of file + * @return device buffer of file + */ + static void *GetDeviceBufferOfFile(std::string fileName, uint32_t &fileSize); + + /** + * @brief create buffer of file + * @param [in] fileName: file name + * @param [out] fileSize: size of file + * @return buffer of pic + */ + static void* ReadBinFile(std::string fileName, uint32_t& fileSize); + + static void* GetDeviceBufferOfptr(void* fileName, uint32_t fileSize); + + static long getCurrentTime(); + +}; + +#pragma once diff --git a/dnmetis/backend_C++/dnmetis_backend/backend/built-in/src/model_process.cpp b/dnmetis/backend_C++/dnmetis_backend/backend/built-in/src/model_process.cpp new file mode 100644 index 0000000..17970f9 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/backend/built-in/src/model_process.cpp @@ -0,0 +1,444 @@ +/** +* @file model_process.cpp +* +* Copyright (C) 2020. Huawei Technologies Co., Ltd. All rights reserved. +* +* This program is distributed in the hope that it will be useful, +* but WITHOUT ANY WARRANTY; without even the implied warranty of +* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +*/ +#include "model_process.h" +#include +#include +#include +#include +#include "utils.h" +using namespace std; +extern bool g_isDevice; +//extern Config configSettings; +extern std::map ACLdt; +extern std::map ACLdt_size; + +ModelProcess::ModelProcess() :modelId_(0), modelMemSize_(0), modelWeightSize_(0), modelMemPtr_(nullptr), +modelWeightPtr_(nullptr), loadFlag_(false), modelDesc_(nullptr), input_(nullptr), output_(nullptr) +{ +} + +ModelProcess::~ModelProcess() +{ +} + + + +Result ModelProcess::LoadModelFromFileWithMem(const char *modelPath) +{ + if (loadFlag_) { + ERROR_LOG("has already loaded a model"); + return FAILED; + } + + aclError ret = aclmdlQuerySize(modelPath, &modelMemSize_, &modelWeightSize_); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("query model failed, model file is %s", modelPath); + return FAILED; + } + //int mem_malloc_type=configSettings.Read("aclrtMemMallocPolicy", 0); + ret = aclrtMalloc(&modelMemPtr_, modelMemSize_, (aclrtMemMallocPolicy)(Config::getInstance()->Read("aclrtMemMallocPolicy", 0))); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("malloc buffer for mem failed, require size is %zu", modelMemSize_); + return FAILED; + } + + ret = aclrtMalloc(&modelWeightPtr_, modelWeightSize_, (aclrtMemMallocPolicy)(Config::getInstance()->Read("aclrtMemMallocPolicy", 0))); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("malloc buffer for weight failed, require size is %zu", modelWeightSize_); + return FAILED; + } + + ret = aclmdlLoadFromFileWithMem(modelPath, &modelId_, modelMemPtr_, + modelMemSize_, modelWeightPtr_, modelWeightSize_); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("load model from file failed, model file is %s", modelPath); + return FAILED; + } + + loadFlag_ = true; + INFO_LOG("load model %s success", modelPath); + return SUCCESS; +} + +Result ModelProcess::CreateDesc() +{ + modelDesc_ = aclmdlCreateDesc(); + if (modelDesc_ == nullptr) { + ERROR_LOG("create model description failed"); + return FAILED; + } + + aclError ret = aclmdlGetDesc(modelDesc_, modelId_); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("get model description failed"); + return FAILED; + } + + INFO_LOG("create model description success"); + + return SUCCESS; +} + +void ModelProcess::DestroyDesc() +{ + if (modelDesc_ != nullptr) { + (void)aclmdlDestroyDesc(modelDesc_); + modelDesc_ = nullptr; + } +} + + +Result ModelProcess::CreateInput(void *inputDataBuffer, size_t bufferSize) +{ + input_ = aclmdlCreateDataset(); + if (input_ == nullptr) { + ERROR_LOG("can't create dataset, create input failed"); + return FAILED; + } + //INFO_LOG("start CreateInput::aclCreateDataBuffer is %d", Utils::getCurrentTime()); + aclDataBuffer* inputData = aclCreateDataBuffer(inputDataBuffer, bufferSize); + //INFO_LOG("end CreateInput::aclCreateDataBuffer is %d", Utils::getCurrentTime()); + if (inputData == nullptr) { + ERROR_LOG("can't create data buffer, create input failed"); + return FAILED; + } + //INFO_LOG("start CreateInput::aclmdlAddDatasetBuffer is %d", Utils::getCurrentTime()); + aclError ret = aclmdlAddDatasetBuffer(input_, inputData); + //INFO_LOG("end CreateInput::aclmdlAddDatasetBuffer is %d", Utils::getCurrentTime()); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("add input dataset buffer failed"); + aclDestroyDataBuffer(inputData); + inputData = nullptr; + return FAILED; + } + + return SUCCESS; +} + +void ModelProcess::DestroyInput() +{ + if (input_ == nullptr) { + return; + } + + for (size_t i = 0; i < aclmdlGetDatasetNumBuffers(input_); ++i) { + aclDataBuffer* dataBuffer = aclmdlGetDatasetBuffer(input_, i); + aclDestroyDataBuffer(dataBuffer); + } + aclmdlDestroyDataset(input_); + input_ = nullptr; +} + +Result ModelProcess::CreateOutput() +{ + if (modelDesc_ == nullptr) { + ERROR_LOG("no model description, create ouput failed"); + return FAILED; + } + + output_ = aclmdlCreateDataset(); + if (output_ == nullptr) { + ERROR_LOG("can't create dataset, create output failed"); + return FAILED; + } + + size_t outputSize = aclmdlGetNumOutputs(modelDesc_); + for (size_t i = 0; i < outputSize; ++i) { + size_t buffer_size = aclmdlGetOutputSizeByIndex(modelDesc_, i); + + void *outputBuffer = nullptr; + aclError ret = aclrtMalloc(&outputBuffer, buffer_size, (aclrtMemMallocPolicy)(Config::getInstance()->Read("aclrtMemMallocPolicy", 0))); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("can't malloc buffer, size is %zu, create output failed", buffer_size); + return FAILED; + } + + aclDataBuffer* outputData = aclCreateDataBuffer(outputBuffer, buffer_size); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("can't create data buffer, create output failed"); + aclrtFree(outputBuffer); + return FAILED; + } + + ret = aclmdlAddDatasetBuffer(output_, outputData); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("can't add data buffer, create output failed"); + aclrtFree(outputBuffer); + aclDestroyDataBuffer(outputData); + return FAILED; + } + } + + INFO_LOG("create model output success"); + return SUCCESS; +} + +void ModelProcess::DumpModelOutputResult() +{ + stringstream ss; + size_t outputNum = aclmdlGetDatasetNumBuffers(output_); + static int executeNum = 0; + for (size_t i = 0; i < outputNum; ++i) { + ss << "output" << ++executeNum << "_" << i << ".bin"; + string outputFileName = ss.str(); + FILE *outputFile = fopen(outputFileName.c_str(), "wb"); + if (outputFile) { + aclDataBuffer* dataBuffer = aclmdlGetDatasetBuffer(output_, i); + void* data = aclGetDataBufferAddr(dataBuffer); + uint32_t len = aclGetDataBufferSize(dataBuffer); + + void* outHostData = NULL; + aclError ret = ACL_ERROR_NONE; + if (!g_isDevice) { + ret = aclrtMallocHost(&outHostData, len); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("aclrtMallocHost failed, ret[%d]", ret); + return; + } + + ret = aclrtMemcpy(outHostData, len, data, len, ACL_MEMCPY_DEVICE_TO_HOST); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("aclrtMemcpy failed, ret[%d]", ret); + (void)aclrtFreeHost(outHostData); + return; + } + + fwrite(outHostData, len, sizeof(char), outputFile); + + ret = aclrtFreeHost(outHostData); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("aclrtFreeHost failed, ret[%d]", ret); + return; + } + } else { + fwrite(data, len, sizeof(char), outputFile); + } + fclose(outputFile); + outputFile = nullptr; + } else { + ERROR_LOG("create output file [%s] failed", outputFileName.c_str()); + return; + } + } + + INFO_LOG("dump data success"); + return; +} + +void ModelProcess::OutputModelResult() +{ + + aclError ret = ACL_ERROR_NONE; + + if(outputdata.size()!=0) + { + for(auto it=outputdata.begin();it!=outputdata.end();++it){ + ret = aclrtFreeHost(*it); + } + outputdata.clear(); + } + for (size_t i = 0; i < aclmdlGetDatasetNumBuffers(output_); ++i) { + aclDataBuffer* dataBuffer = aclmdlGetDatasetBuffer(output_, i); + void* data = aclGetDataBufferAddr(dataBuffer); + uint32_t len = aclGetDataBufferSize(dataBuffer); + //INFO_LOG("OutputModelResult::len %d", len); + //void *outHostData = NULL; + outputdata.push_back(NULL); + ret = ACL_ERROR_NONE; + float *outData = NULL; + if (!g_isDevice) { + //INFO_LOG("start OutputModelResult::aclrtMallocHost is %d", Utils::getCurrentTime()); + aclError ret = aclrtMallocHost(&outputdata[i], len); + //INFO_LOG("end OutputModelResult::aclrtMallocHost is %d", Utils::getCurrentTime()); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("aclrtMallocHost failed, ret[%d]", ret); + return; + } + //INFO_LOG("start OutputModelResult::aclrtMemcpy is %d", Utils::getCurrentTime()); + ret = aclrtMemcpy(outputdata[i], len, data, len, ACL_MEMCPY_DEVICE_TO_HOST); + //INFO_LOG("end OutputModelResult::aclrtMemcpy is %d", Utils::getCurrentTime()); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("aclrtMemcpy failed, ret[%d]", ret); + return; + } + + outData = reinterpret_cast(outputdata[i]); + //outputdata.push_back(outHostData); + } else { + outData = reinterpret_cast(data); + outputdata.push_back(data); + } + map > resultMap; + for (unsigned int j = 0; j < len / sizeof(float); ++j) { + resultMap[*outData] = j; + outData++; + } + + int cnt = 0; + for (auto it = resultMap.begin(); it != resultMap.end(); ++it) { + // print top 5 + if (++cnt > 5) { + break; + } + + //INFO_LOG("top %d: index[%d] value[%lf]", cnt, it->second, it->first); + } + } + + INFO_LOG("1.output data success"); + return; +} + +void ModelProcess::OutputModelResult(vector &output) +{ + + OutputModelResult(); + + size_t outputSize = aclmdlGetNumOutputs(modelDesc_); + + + for (size_t i = 0; i < outputSize; ++i) { + Output_buf tmp_output; + //ptr + tmp_output.ptr = outputdata[i]; + //size + tmp_output.size = aclmdlGetOutputSizeByIndex(modelDesc_, i); + //ndim & shape + aclmdlIODims d={{'a'},0,{1,2,3}}; + aclmdlIODims *dims=&d; + aclError ret = aclmdlGetOutputDims((const aclmdlDesc *)modelDesc_, i, dims); + tmp_output.ndim = (*dims).dimCount; + for(int j=0;j<(*dims).dimCount;j++) + tmp_output.shape.push_back((*dims).dims[j]); + + //itemsize & format + aclDataType dt = aclmdlGetOutputDataType(modelDesc_, i); + tmp_output.itemsize=ACLdt_size[dt]; + tmp_output.format=ACLdt[dt]; +// if(dt==ACL_FLOAT) +// { +// tmp_output.itemsize=4; +// tmp_output.format="float"; +// } +// if(dt==ACL_FLOAT16) +// { +// tmp_output.itemsize=2; +// tmp_output.format="float16"; +// } +// if(dt==ACL_UINT8) +// { +// tmp_output.itemsize=1; +// tmp_output.format="uint8"; +// } +// if(dt==ACL_INT8) +// { +// tmp_output.itemsize=1; +// tmp_output.format="int8"; +// } + + //strides + int strides=tmp_output.itemsize; + std::vector tmp_strides; + std::vector tmp1_strides; + //vector::reverse_iterator it;//声明一个迭代器，来访问vector容器，作用：遍历或者指向vector容器的元素 + for(auto it=tmp_output.shape.rbegin();it!=tmp_output.shape.rend();++it) + { + tmp_strides.push_back(strides); + strides = strides * (*it); + } + //for (int index = 0 ; index < tmp_output.ndim; index++) { + // tmp_strides.push_back(strides); + // strides = strides * tmp_output.shape[index]; + //} + for(auto it=tmp_strides.rbegin();it!=tmp_strides.rend();++it){ + //for (int index=0;index < tmp_strides.size(); index++) { + tmp1_strides.push_back(*it); + } + tmp_output.strides = tmp1_strides; + output.push_back(tmp_output); + } + INFO_LOG("2.output data success"); +} +void ModelProcess::DestroyOutput() +{ + if (output_ == nullptr) { + return; + } + + for (size_t i = 0; i < aclmdlGetDatasetNumBuffers(output_); ++i) { + aclDataBuffer* dataBuffer = aclmdlGetDatasetBuffer(output_, i); + void* data = aclGetDataBufferAddr(dataBuffer); + (void)aclrtFree(data); + (void)aclDestroyDataBuffer(dataBuffer); + } + + (void)aclmdlDestroyDataset(output_); + output_ = nullptr; +} + +Result ModelProcess::Execute() +{ + aclError ret = aclmdlExecute(modelId_, input_, output_); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("execute model failed, modelId is %u", modelId_); + return FAILED; + } + + INFO_LOG("model execute success"); + return SUCCESS; +} + +void ModelProcess::Unload() +{ + aclError ret; + if (!g_isDevice) { + //INFO_LOG("start Unload::aclrtFreeHost is %d", Utils::getCurrentTime()); + //for (int index = 0 ; index < outputdata.size(); index++) { + // ret = aclrtFreeHost(outputdata[index]); + //} + for(auto it=outputdata.begin();it!=outputdata.end();++it){ + ret = aclrtFreeHost(*it); + } + //INFO_LOG("end Unload::aclrtFreeHost is %d", Utils::getCurrentTime()); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("aclrtFreeHost failed, ret[%d]", ret); + return; + } + } + if (!loadFlag_) { + WARN_LOG("no model had been loaded, unload failed"); + return; + } + + ret = aclmdlUnload(modelId_); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("unload model failed, modelId is %u", modelId_); + } + + if (modelDesc_ != nullptr) { + (void)aclmdlDestroyDesc(modelDesc_); + modelDesc_ = nullptr; + } + + if (modelMemPtr_ != nullptr) { + aclrtFree(modelMemPtr_); + modelMemPtr_ = nullptr; + modelMemSize_ = 0; + } + + if (modelWeightPtr_ != nullptr) { + aclrtFree(modelWeightPtr_); + modelWeightPtr_ = nullptr; + modelWeightSize_ = 0; + } + + loadFlag_ = false; + INFO_LOG("unload model success, modelId is %u", modelId_); +} diff --git a/dnmetis/backend_C++/dnmetis_backend/backend/built-in/src/sample_process.cpp b/dnmetis/backend_C++/dnmetis_backend/backend/built-in/src/sample_process.cpp new file mode 100644 index 0000000..49156de --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/backend/built-in/src/sample_process.cpp @@ -0,0 +1,249 @@ +/** +* @file sample_process.cpp +* +* Copyright (C) 2020. Huawei Technologies Co., Ltd. All rights reserved. +* +* This program is distributed in the hope that it will be useful, +* but WITHOUT ANY WARRANTY; without even the implied warranty of +* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +*/ +#include "sample_process.h" +#include +#include "acl/acl.h" +#include "utils.h" +using namespace std; +extern bool g_isDevice; + + +SampleProcess::SampleProcess() :deviceId_(0), context_(nullptr), stream_(nullptr) +{ +} + +SampleProcess::~SampleProcess() +{ +} + +Result SampleProcess::InitResource(char* omModelPath) +{ + // ACL init + const char *aclConfigPath; + if((aclConfigPath = getenv("ACL_CONFIG_PATH"))) { + INFO_LOG("acl init with config file:%s", aclConfigPath); + } else { + aclConfigPath = ""; + } + aclError ret = aclInit(aclConfigPath); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("acl init failed"); + return FAILED; + } + INFO_LOG("acl init success"); + + // open device + ret = aclrtSetDevice(deviceId_); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("acl open device %d failed", deviceId_); + return FAILED; + } + INFO_LOG("open device %d success", deviceId_); + + // create context (set current) + ret = aclrtCreateContext(&context_, deviceId_); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("acl create context failed"); + return FAILED; + } + INFO_LOG("create context success"); + + // create stream + ret = aclrtCreateStream(&stream_); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("acl create stream failed"); + return FAILED; + } + INFO_LOG("create stream success"); + + // get run mode + aclrtRunMode runMode; + ret = aclrtGetRunMode(&runMode); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("acl get run mode failed"); + return FAILED; + } + g_isDevice = (runMode == ACL_DEVICE); + INFO_LOG("get run mode success"); + Result r_ret = processModel.LoadModelFromFileWithMem(omModelPath); + if (r_ret != SUCCESS) { + ERROR_LOG("load model from file failed"); + return FAILED; + } + + ret = processModel.CreateDesc(); + if (ret != SUCCESS) { + ERROR_LOG("create model description failed"); + return FAILED; + } + + ret = processModel.CreateOutput(); + if (ret != SUCCESS) { + ERROR_LOG("create model output failed"); + return FAILED; + } + + return SUCCESS; +} + +Result SampleProcess::Process(void* binfile,int len) +{ + //for (size_t index = 0; index < sizeof(testFile) / sizeof(testFile[0]); ++index) { + //INFO_LOG("start to process file:%s", binfile.c_str()); + // model process + //INFO_LOG("start memcpy is %d", Utils::getCurrentTime()); + uint32_t devBufferSize = len; + void *picDevBuffer = Utils::GetDeviceBufferOfptr(binfile,len); + //ERROR_LOG("devBufferSize is %d", len); + //ERROR_LOG("picDevBuffer:%f.", *((float*)picDevBuffer)); + if (picDevBuffer == nullptr) { + ERROR_LOG("get pic device buffer failed,index is %zu", 0); + return FAILED; + } + //INFO_LOG("end memcpy is %d", Utils::getCurrentTime()); + + //INFO_LOG("start CreateInput is %d", Utils::getCurrentTime()); + Result ret = processModel.CreateInput(picDevBuffer, devBufferSize); + if (ret != SUCCESS) { + ERROR_LOG("model create input failed"); + aclrtFree(picDevBuffer); + return FAILED; + } + //INFO_LOG("end CreateInput is %d", Utils::getCurrentTime()); + + INFO_LOG("start Execute is %d", Utils::getCurrentTime()); + ret = processModel.Execute(); + if (ret != SUCCESS) { + ERROR_LOG("model execute failed"); + aclrtFree(picDevBuffer); + return FAILED; + } + INFO_LOG("end Execute is %d", Utils::getCurrentTime()); + + //INFO_LOG("start aclrtFree is %d", Utils::getCurrentTime()); + // release model input buffer + aclrtFree(picDevBuffer); + //INFO_LOG("end aclrtFree is %d", Utils::getCurrentTime()); + + // print the top 5 confidence values with indexes.use function DumpModelOutputResult + // if want to dump output result to file in the current directory + processModel.OutputModelResult(); + + //} + // loop end + + + return SUCCESS; +} + +Result SampleProcess::Process(void* binfile,int len, vector &output, long &npuTime) +{ + //for (size_t index = 0; index < sizeof(testFile) / sizeof(testFile[0]); ++index) { + //INFO_LOG("start to process file:%s", binfile.c_str()); + // model process + //INFO_LOG("start memcpy is %d", Utils::getCurrentTime()); + uint32_t devBufferSize = len; + void *picDevBuffer = Utils::GetDeviceBufferOfptr(binfile,len); + //ERROR_LOG("devBufferSize is %d", len); + //ERROR_LOG("picDevBuffer:%f.", *((float*)picDevBuffer)); + if (picDevBuffer == nullptr) { + ERROR_LOG("get pic device buffer failed,index is %zu", 0); + return FAILED; + } + //INFO_LOG("end memcpy is %d", Utils::getCurrentTime()); + + //INFO_LOG("start CreateInput is %d", Utils::getCurrentTime()); + Result ret = processModel.CreateInput(picDevBuffer, devBufferSize); + if (ret != SUCCESS) { + ERROR_LOG("model create input failed"); + aclrtFree(picDevBuffer); + return FAILED; + } + //INFO_LOG("end CreateInput is %d", Utils::getCurrentTime()); + + INFO_LOG("start Execute is %d", Utils::getCurrentTime()); + long start = Utils::getCurrentTime(); + ret = processModel.Execute(); + if (ret != SUCCESS) { + ERROR_LOG("model execute failed"); + aclrtFree(picDevBuffer); + return FAILED; + } + long end = Utils::getCurrentTime(); + INFO_LOG("end Execute is %d", end); + + npuTime = end - start; + if (npuTime < 0) { + ERROR_LOG("NPU time not correct: %d start: %d end: %d", npuTime, start, end); + aclrtFree(picDevBuffer); + return FAILED; + } + INFO_LOG("npu compute cost %f ms", 1.0*(npuTime)/1000.0); + + //INFO_LOG("start aclrtFree is %d", Utils::getCurrentTime()); + // release model input buffer + aclrtFree(picDevBuffer); + //INFO_LOG("end aclrtFree is %d", Utils::getCurrentTime()); + + // print the top 5 confidence values with indexes.use function DumpModelOutputResult + // if want to dump output result to file in the current directory + processModel.OutputModelResult(output); + + //} + // loop end + + + return SUCCESS; +} + +Result SampleProcess::Unload() +{ + processModel.Unload(); + processModel.DestroyDesc(); + processModel.DestroyInput(); + processModel.DestroyOutput(); + DestroyResource(); + return SUCCESS; +} + +void SampleProcess::DestroyResource() +{ + aclError ret; + if (stream_ != nullptr) { + ret = aclrtDestroyStream(stream_); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("destroy stream failed"); + } + stream_ = nullptr; + INFO_LOG("end to destroy stream"); + } + + if (context_ != nullptr) { + ret = aclrtDestroyContext(context_); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("destroy context failed"); + } + context_ = nullptr; + INFO_LOG("end to destroy context"); + } + + ret = aclrtResetDevice(deviceId_); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("reset device failed"); + } + INFO_LOG("end to reset device is %d", deviceId_); + + ret = aclFinalize(); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("finalize acl failed"); + } + INFO_LOG("end to finalize acl"); + +} diff --git a/dnmetis/backend_C++/dnmetis_backend/backend/built-in/src/utils.cpp b/dnmetis/backend_C++/dnmetis_backend/backend/built-in/src/utils.cpp new file mode 100644 index 0000000..0d11469 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/backend/built-in/src/utils.cpp @@ -0,0 +1,171 @@ +/** +* @file utils.cpp +* +* Copyright (C) 2020. Huawei Technologies Co., Ltd. All rights reserved. +* +* This program is distributed in the hope that it will be useful, +* but WITHOUT ANY WARRANTY; without even the implied warranty of +* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +*/ +#include "utils.h" +#include +#include +#include +#include "acl/acl.h" +#include +#include + +bool g_isDevice = false; + +std::map ACLdt{{ ACL_DT_UNDEFINED , "undefined"}, +{ ACL_FLOAT , "float"}, +{ ACL_FLOAT16 , "float16"}, +{ ACL_INT8 , "int8"}, +{ ACL_INT32 , "int32"}, +{ ACL_UINT8 , "uint8"}, +{ ACL_INT16 , "int16"}, +{ ACL_UINT16 , "uint16"}, +{ ACL_UINT32 , "uint32"}, +{ ACL_INT64 , "int64"}, +{ ACL_UINT64 , "uint64"}, +{ ACL_DOUBLE , "double"}, +{ ACL_BOOL , "bool"}}; +std::map ACLdt_size{{ ACL_DT_UNDEFINED , -1}, +{ ACL_FLOAT , 4}, +{ ACL_FLOAT16 , 2}, +{ ACL_INT8 , 1}, +{ ACL_INT32 , 4}, +{ ACL_UINT8 , 1}, +{ ACL_INT16 , 2}, +{ ACL_UINT16 , 2}, +{ ACL_UINT32 , 4}, +{ ACL_INT64 , 8}, +{ ACL_UINT64 , 8}, +{ ACL_DOUBLE , 8}, +{ ACL_BOOL , 1}}; + +//Config configSettings("cfg/built-in_config.txt"); + +void* Utils::ReadBinFile(std::string fileName, uint32_t &fileSize) +{ + std::ifstream binFile(fileName, std::ifstream::binary); + if (binFile.is_open() == false) { + ERROR_LOG("open file %s failed", fileName.c_str()); + return nullptr; + } + + binFile.seekg(0, binFile.end); + uint32_t binFileBufferLen = binFile.tellg(); + if (binFileBufferLen == 0) { + ERROR_LOG("binfile is empty, filename is %s", fileName.c_str()); + binFile.close(); + return nullptr; + } + //ERROR_LOG("binFileBufferLen is %d", binFileBufferLen); + + binFile.seekg(0, binFile.beg); + + void* binFileBufferData = nullptr; + aclError ret = ACL_ERROR_NONE; + if (!g_isDevice) { + ret = aclrtMallocHost(&binFileBufferData, binFileBufferLen); + if (binFileBufferData == nullptr) { + ERROR_LOG("malloc binFileBufferData failed"); + binFile.close(); + return nullptr; + } + } else { + ret = aclrtMalloc(&binFileBufferData, binFileBufferLen, (aclrtMemMallocPolicy)(Config::getInstance()->Read("aclrtMemMallocPolicy", 0))); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("malloc device buffer failed. size is %u", binFileBufferLen); + binFile.close(); + return nullptr; + } + } + binFile.read(static_cast(binFileBufferData), binFileBufferLen); + binFile.close(); + fileSize = binFileBufferLen; + return binFileBufferData; +} + +void* Utils::GetDeviceBufferOfFile(std::string fileName, uint32_t &fileSize) +{ + uint32_t inputHostBuffSize = 0; + void* inputHostBuff = Utils::ReadBinFile(fileName, inputHostBuffSize); + if (inputHostBuff == nullptr) { + return nullptr; + } + if (!g_isDevice) { + void *inBufferDev = nullptr; + uint32_t inBufferSize = inputHostBuffSize; + aclError ret = aclrtMalloc(&inBufferDev, inBufferSize, (aclrtMemMallocPolicy)(Config::getInstance()->Read("aclrtMemMallocPolicy", 0))); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("malloc device buffer failed. size is %u", inBufferSize); + aclrtFreeHost(inputHostBuff); + return nullptr; + } + + ret = aclrtMemcpy(inBufferDev, inBufferSize, inputHostBuff, inputHostBuffSize, ACL_MEMCPY_HOST_TO_DEVICE); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("memcpy failed. device buffer size is %u, input host buffer size is %u", + inBufferSize, inputHostBuffSize); + aclrtFree(inBufferDev); + aclrtFreeHost(inputHostBuff); + return nullptr; + } + aclrtFreeHost(inputHostBuff); + fileSize = inBufferSize; + return inBufferDev; + } else { + fileSize = inputHostBuffSize; + return inputHostBuff; + } +} + +void* Utils::GetDeviceBufferOfptr(void* fileName, uint32_t len) +{ + uint32_t inputHostBuffSize = len; + void* inputHostBuff = fileName; + if (inputHostBuff == nullptr) { + return nullptr; + } + if (!g_isDevice) { + void *inBufferDev = nullptr; + uint32_t inBufferSize = inputHostBuffSize; + //INFO_LOG("start memcpy::aclrtMalloc is %d", Utils::getCurrentTime()); + aclError ret = aclrtMalloc(&inBufferDev, inBufferSize, (aclrtMemMallocPolicy)(Config::getInstance()->Read("aclrtMemMallocPolicy", 0))); + //INFO_LOG("end memcpy::aclrtMalloc is %d", Utils::getCurrentTime()); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("malloc device buffer failed. size is %u", inBufferSize); + aclrtFreeHost(inputHostBuff); + return nullptr; + } + //INFO_LOG("start memcpy::aclrtMemcpy is %d", Utils::getCurrentTime()); + ret = aclrtMemcpy(inBufferDev, inBufferSize, inputHostBuff, inputHostBuffSize, ACL_MEMCPY_HOST_TO_DEVICE); + //INFO_LOG("end memcpy::aclrtMemcpy is %d", Utils::getCurrentTime()); + if (ret != ACL_ERROR_NONE) { + ERROR_LOG("memcpy failed. device buffer size is %u, input host buffer size is %u", + inBufferSize, inputHostBuffSize); + aclrtFree(inBufferDev); + aclrtFreeHost(inputHostBuff); + return nullptr; + } + //INFO_LOG("start memcpy::aclrtFreeHost is %d", Utils::getCurrentTime()); + aclrtFreeHost(inputHostBuff); + //INFO_LOG("end memcpy::aclrtFreeHost is %d", Utils::getCurrentTime()); + //fileSize = inBufferSize; + return inBufferDev; + } else { + //fileSize = inputHostBuffSize; + return inputHostBuff; + } +} + + +long Utils::getCurrentTime() +{ + struct timeval tv; + gettimeofday(&tv,NULL); + return tv.tv_sec * 1000000 + tv.tv_usec; + // return tv.tv_usec; +} diff --git a/dnmetis/backend_C++/dnmetis_backend/backend/custom/trtbackend.cpp b/dnmetis/backend_C++/dnmetis_backend/backend/custom/trtbackend.cpp new file mode 100644 index 0000000..9811d28 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/backend/custom/trtbackend.cpp @@ -0,0 +1,29 @@ +#include "trtbackend.h" + +CREATE_BACKEND_INIT(TrtBackend,model,data) +{ + INFO_LOG("TrtBackend INIT model success"); + return 0; +} + +CREATE_BACKEND_LOAD(TrtBackend,model,data) +{ + INFO_LOG("TrtBackend LOAD model success"); + return 0; +} + +CREATE_BACKEND_PREDICT(TrtBackend,model,data,len,output,gpuTime) +{ + INFO_LOG("TrtBackend PREDICT model success"); + return 0; +} +CREATE_BACKEND_UNLOAD(TrtBackend,model,data) +{ + INFO_LOG("TrtBackend UNLOAD model success"); + return 0; +} + + +REGISTER_BASE_BACKEND_CREATOR(TRT, TrtBackend) + + diff --git a/dnmetis/backend_C++/dnmetis_backend/backend/custom/trtbackend.h b/dnmetis/backend_C++/dnmetis_backend/backend/custom/trtbackend.h new file mode 100644 index 0000000..42e4592 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/backend/custom/trtbackend.h @@ -0,0 +1,7 @@ +#include "BackendFactory.h" +#include + +CREATE_BACKEND(TrtBackend) + + + diff --git a/dnmetis/backend_C++/dnmetis_backend/backend/inc/BackendFactory.h b/dnmetis/backend_C++/dnmetis_backend/backend/inc/BackendFactory.h new file mode 100644 index 0000000..6942a20 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/backend/inc/BackendFactory.h @@ -0,0 +1,91 @@ +/** + * Copyright 2020 Huawei Technologies Co., Ltd + + * 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. +*/ + +#ifndef BASE_BACKEND_FACTORY_H_ +#define BASE_BACKEND_FACTORY_H_ + +#include +#include +#include +#include +#include "BaseBackend.h" + + + +typedef std::shared_ptr (*BASE_BACKEND_CREATOR_FUN)(void); + +class BackendFactory { + public: + static BackendFactory *Instance(); + int Init(); + /** + * @ingroup domi_omg + * @brief Create a backend based on the type entered + * @param [in] type Framework type + * @return Created backend + */ + std::shared_ptr CreateBaseBackend(const FrameworkType type); + + /** + * @ingroup domi_omg + * @brief Register create function + * @param [in] type Framework type + * @param [in] fun ModelParser's create function + */ + void RegisterCreator(const FrameworkType type, BASE_BACKEND_CREATOR_FUN fun); + + protected: + BackendFactory() {} + ~BackendFactory(); + + private: + std::map creator_map_; + bool is_init_ = false; +}; // end class BackendFactory + +class BaseBackendRegisterar { + public: + BaseBackendRegisterar(const FrameworkType type, BASE_BACKEND_CREATOR_FUN fun) { + BackendFactory::Instance()->RegisterCreator(type, fun); + } + ~BaseBackendRegisterar() {} +}; + +// Registration macros for backend +typedef std::shared_ptr (*BASE_BACKEND_CREATOR_FUN)(void); + +// Registration macros for BaseBackend +#define REGISTER_BASE_BACKEND_CREATOR(type, clazz) \ + std::shared_ptr Creator_##type##_Base_Backend() { \ + std::shared_ptr ptr = nullptr; \ + try { \ + ptr = std::make_shared(); \ + } catch (...) { \ + ptr = nullptr; \ + } \ + return std::shared_ptr(ptr); \ + } \ + BaseBackendRegisterar g_##type##_Base_Backend_Creator(type, Creator_##type##_Base_Backend); + + +#endif + + + + + + + diff --git a/dnmetis/backend_C++/dnmetis_backend/backend/inc/BaseBackend.h b/dnmetis/backend_C++/dnmetis_backend/backend/inc/BaseBackend.h new file mode 100644 index 0000000..caa9dff --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/backend/inc/BaseBackend.h @@ -0,0 +1,78 @@ + +/** + * Copyright 2020 Huawei Technologies Co., Ltd + + * 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. +*/ + +#ifndef BASE_BACKEND_H_ +#define BASE_BACKEND_H_ + +//#include "utils.h" +#include "common.h" +#include +using namespace std; + +class BaseBackend { + public: + BaseBackend() {}; + /** + * @ingroup domi_omg + * @brief Deconstructor + */ + ~BaseBackend() {}; + + virtual int init(char* model,char* data){}; + + virtual int load(char* model,char* data){}; + + virtual int predict(char* model,void* data,int len, std::vector &output, long &deviceTime){}; + + virtual int unload(char* model,char* data){}; + + int param(); + + int runner(); + + int runnerthread(); + + int statistic(); + +}; + + + +#define CREATE_BACKEND(x) \ +class x : public BaseBackend{ \ +public: \ + x(){}; \ + ~x(){}; \ + int init(char* model,char* data); \ + int load(char* model,char* data); \ + int predict(char* model,void* data,int len, vector &output, long &deviceTime); \ + int unload(char* model,char* data); \ + char* model; \ + char* data; \ + }; \ + +#define CREATE_BACKEND_INIT(x,model,data) \ + int x::init(char* model,char* data) +#define CREATE_BACKEND_LOAD(x,model,data) \ + int x::load(char* model,char* data) +#define CREATE_BACKEND_PREDICT(x,model,data,len,output,deviceTime) \ + int x::predict(char* model,void* data,int len,vector &output, long &deviceTime) +#define CREATE_BACKEND_UNLOAD(x,model,data) \ + int x::unload(char* model,char* data) + +#endif + diff --git a/dnmetis/backend_C++/dnmetis_backend/inc/Config.h b/dnmetis/backend_C++/dnmetis_backend/inc/Config.h new file mode 100644 index 0000000..072a76d --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/inc/Config.h @@ -0,0 +1,198 @@ +//Config.h +#pragma once + +#include +#include +#include +#include +#include + + +/* +* \brief Generic configuration Class +* +*/ +class Config { + // Data +protected: + std::string m_Delimiter; //!< separator between key and value + std::string m_Comment; //!< separator between value and comments + std::map m_Contents; //!< extracted keys and values + + typedef std::map::iterator mapi; + typedef std::map::const_iterator mapci; + // Methods +public: + static Config *instance; + static Config *setInstance(char* cfg){ + if(instance == nullptr){ + instance = new Config(cfg); + } + return instance; + } + static Config *getInstance(){ + return instance; + } + Config( std::string filename,std::string delimiter = "=",std::string comment = "#" ); + Config(); + template T Read( const std::string& in_key ) const; //! + template T Read( const std::string& in_key, const T& in_value ) const; + template bool ReadInto( T& out_var, const std::string& in_key ) const; + template + bool ReadInto( T& out_var, const std::string& in_key, const T& in_value ) const; + bool FileExist(std::string filename); + void ReadFile(std::string filename,std::string delimiter = "=",std::string comment = "#" ); + + // Check whether key exists in configuration + bool KeyExists( const std::string& in_key ) const; + + // Modify keys and values + template void Add( const std::string& in_key, const T& in_value ); + void Remove( const std::string& in_key ); + + // Check or change configuration syntax + std::string GetDelimiter() const { return m_Delimiter; } + std::string GetComment() const { return m_Comment; } + std::string SetDelimiter( const std::string& in_s ) + { std::string old = m_Delimiter; m_Delimiter = in_s; return old; } + std::string SetComment( const std::string& in_s ) + { std::string old = m_Comment; m_Comment = in_s; return old; } + + // Write or read configuration + friend std::ostream& operator<<( std::ostream& os, const Config& cf ); + friend std::istream& operator>>( std::istream& is, Config& cf ); + +protected: + template static std::string T_as_string( const T& t ); + template static T string_as_T( const std::string& s ); + static void Trim( std::string& inout_s ); + + + // Exception types +public: + struct File_not_found { + std::string filename; + File_not_found( const std::string& filename_ = std::string() ) + : filename(filename_) {} }; + struct Key_not_found { // thrown only by T read(key) variant of read() + std::string key; + Key_not_found( const std::string& key_ = std::string() ) + : key(key_) {} }; +}; + + +/* static */ +template +std::string Config::T_as_string( const T& t ) +{ + // Convert from a T to a string + // Type T must support << operator + std::ostringstream ost; + ost << t; + return ost.str(); +} + + +/* static */ +template +T Config::string_as_T( const std::string& s ) +{ + // Convert from a string to a T + // Type T must support >> operator + T t; + std::istringstream ist(s); + ist >> t; + return t; +} + + +/* static */ +template<> +inline std::string Config::string_as_T( const std::string& s ) +{ + // Convert from a string to a string + // In other words, do nothing + return s; +} + + +/* static */ +template<> +inline bool Config::string_as_T( const std::string& s ) +{ + // Convert from a string to a bool + // Interpret "false", "F", "no", "n", "0" as false + // Interpret "true", "T", "yes", "y", "1", "-1", or anything else as true + bool b = true; + std::string sup = s; + for( std::string::iterator p = sup.begin(); p != sup.end(); ++p ) + *p = toupper(*p); // make string all caps + if( sup==std::string("FALSE") || sup==std::string("F") || + sup==std::string("NO") || sup==std::string("N") || + sup==std::string("0") || sup==std::string("NONE") ) + b = false; + return b; +} + + +template +T Config::Read( const std::string& key ) const +{ + // Read the value corresponding to key + mapci p = m_Contents.find(key); + if( p == m_Contents.end() ) throw Key_not_found(key); + return string_as_T( p->second ); +} + + +template +T Config::Read( const std::string& key, const T& value ) const +{ + // Return the value corresponding to key or given default value + // if key is not found + mapci p = m_Contents.find(key); + if( p == m_Contents.end() ) return value; + return string_as_T( p->second ); +} + + +template +bool Config::ReadInto( T& var, const std::string& key ) const +{ + // Get the value corresponding to key and store in var + // Return true if key is found + // Otherwise leave var untouched + mapci p = m_Contents.find(key); + bool found = ( p != m_Contents.end() ); + if( found ) var = string_as_T( p->second ); + return found; +} + + +template +bool Config::ReadInto( T& var, const std::string& key, const T& value ) const +{ + // Get the value corresponding to key and store in var + // Return true if key is found + // Otherwise set var to given default + mapci p = m_Contents.find(key); + bool found = ( p != m_Contents.end() ); + if( found ) + var = string_as_T( p->second ); + else + var = value; + return found; +} + + +template +void Config::Add( const std::string& in_key, const T& value ) +{ + // Add a key with given value + std::string v = T_as_string( value ); + std::string key=in_key; + trim(key); + trim(v); + m_Contents[key] = v; + return; +} \ No newline at end of file diff --git a/dnmetis/backend_C++/dnmetis_backend/inc/common.h b/dnmetis/backend_C++/dnmetis_backend/inc/common.h new file mode 100644 index 0000000..0872504 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/inc/common.h @@ -0,0 +1,101 @@ +/** +* @file common.h +* +* Copyright (C) 2020. Huawei Technologies Co., Ltd. All rights reserved. +* +* This program is distributed in the hope that it will be useful, +* but WITHOUT ANY WARRANTY; without even the implied warranty of +* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +*/ +#pragma once +#include +#include +#include +#include +#include "half.hpp" +#include "Config.h" + +#define LOG 2 + +#define INFO_LOG(fmt, args...) if(Config::getInstance()->Read("backend_loglevel", 0)>=3) fprintf(stdout, "[INFO] " fmt "\n", ##args) +#define WARN_LOG(fmt, args...) if(Config::getInstance()->Read("backend_loglevel", 0)>=2) fprintf(stdout, "[WARN] " fmt "\n", ##args) +#define ERROR_LOG(fmt, args...) if(Config::getInstance()->Read("backend_loglevel", 0)>=1) fprintf(stdout, "[ERROR] " fmt "\n", ##args) + +namespace py = pybind11; +// half_float::half behaviors like float, but with different precision + +using float16 = half_float::half; + +NAMESPACE_BEGIN(pybind11) +NAMESPACE_BEGIN(detail) + +template <> +struct type_caster { +public: + PYBIND11_TYPE_CASTER(float16, _("float16")); + using float_caster = type_caster; + + bool load(handle src, bool convert) { + float_caster caster; + if (caster.load(src, convert)) { + this->value = float16(float(caster)); // Implicit cast defined by `type_caster`. + return true; + + } + return false; + } + static handle cast(float16 src, return_value_policy policy, handle parent) { + return float_caster::cast(float(src), policy, parent); + } +}; + +constexpr int NPY_FLOAT16 = 23; + +template <> +struct npy_format_descriptor { + static pybind11::dtype dtype() { + handle ptr = npy_api::get().PyArray_DescrFromType_(NPY_FLOAT16); + return reinterpret_borrow(ptr); + } + static std::string format() { + // following: https://docs.python.org/3/library/struct.html#format-characters + return "e"; + } + static constexpr auto name() { + return _("float16"); + } +}; + +NAMESPACE_END(detail) +NAMESPACE_END(pybind11) + + + +typedef enum Result { + SUCCESS = 0, + FAILED = 1 +} Result; + +enum FrameworkType { + CAFFE = 0, + MINDSPORE = 1, + TENSORFLOW = 3, + ANDROID_NN, + ACL, + TRT, + HIAI_ENGINE, + FRAMEWORK_RESERVED, +}; + +struct Output_buf { + void *ptr = nullptr; // Pointer to the underlying storage + int64_t itemsize = 0; // Size of individual items in bytes + int64_t size = 0; // Total number of entries + std::string format; // For homogeneous buffers, this should be set to format_descriptor::format() + int64_t ndim = 0; // Number of dimensions + std::vector shape; // Shape of the tensor (1 entry per dimension) + std::vector strides; // Number of bytes between adjacent entries (for each per dimension) + bool readonly = false; // flag to indicate if the underlying storage may be written to +}; + + diff --git a/dnmetis/backend_C++/dnmetis_backend/inc/half.hpp b/dnmetis/backend_C++/dnmetis_backend/inc/half.hpp new file mode 100644 index 0000000..0f60403 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/inc/half.hpp @@ -0,0 +1,4575 @@ +// half - IEEE 754-based half-precision floating-point library. +// +// Copyright (c) 2012-2019 Christian Rau +// +// Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation +// files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, +// modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the +// Software is furnished to do so, subject to the following conditions: +// +// The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. +// +// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE +// WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR +// COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, +// ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. + +// Version 2.1.0 + +/// \file +/// Main header file for half-precision functionality. + +#ifndef HALF_HALF_HPP +#define HALF_HALF_HPP + +#define HALF_GCC_VERSION (__GNUC__*100+__GNUC_MINOR__) + +#if defined(__INTEL_COMPILER) + #define HALF_ICC_VERSION __INTEL_COMPILER +#elif defined(__ICC) + #define HALF_ICC_VERSION __ICC +#elif defined(__ICL) + #define HALF_ICC_VERSION __ICL +#else + #define HALF_ICC_VERSION 0 +#endif + +// check C++11 language features +#if defined(__clang__) // clang + #if __has_feature(cxx_static_assert) && !defined(HALF_ENABLE_CPP11_STATIC_ASSERT) + #define HALF_ENABLE_CPP11_STATIC_ASSERT 1 + #endif + #if __has_feature(cxx_constexpr) && !defined(HALF_ENABLE_CPP11_CONSTEXPR) + #define HALF_ENABLE_CPP11_CONSTEXPR 1 + #endif + #if __has_feature(cxx_noexcept) && !defined(HALF_ENABLE_CPP11_NOEXCEPT) + #define HALF_ENABLE_CPP11_NOEXCEPT 1 + #endif + #if __has_feature(cxx_user_literals) && !defined(HALF_ENABLE_CPP11_USER_LITERALS) + #define HALF_ENABLE_CPP11_USER_LITERALS 1 + #endif + #if __has_feature(cxx_thread_local) && !defined(HALF_ENABLE_CPP11_THREAD_LOCAL) + #define HALF_ENABLE_CPP11_THREAD_LOCAL 1 + #endif + #if (defined(__GXX_EXPERIMENTAL_CXX0X__) || __cplusplus >= 201103L) && !defined(HALF_ENABLE_CPP11_LONG_LONG) + #define HALF_ENABLE_CPP11_LONG_LONG 1 + #endif +#elif HALF_ICC_VERSION && defined(__INTEL_CXX11_MODE__) // Intel C++ + #if HALF_ICC_VERSION >= 1500 && !defined(HALF_ENABLE_CPP11_THREAD_LOCAL) + #define HALF_ENABLE_CPP11_THREAD_LOCAL 1 + #endif + #if HALF_ICC_VERSION >= 1500 && !defined(HALF_ENABLE_CPP11_USER_LITERALS) + #define HALF_ENABLE_CPP11_USER_LITERALS 1 + #endif + #if HALF_ICC_VERSION >= 1400 && !defined(HALF_ENABLE_CPP11_CONSTEXPR) + #define HALF_ENABLE_CPP11_CONSTEXPR 1 + #endif + #if HALF_ICC_VERSION >= 1400 && !defined(HALF_ENABLE_CPP11_NOEXCEPT) + #define HALF_ENABLE_CPP11_NOEXCEPT 1 + #endif + #if HALF_ICC_VERSION >= 1110 && !defined(HALF_ENABLE_CPP11_STATIC_ASSERT) + #define HALF_ENABLE_CPP11_STATIC_ASSERT 1 + #endif + #if HALF_ICC_VERSION >= 1110 && !defined(HALF_ENABLE_CPP11_LONG_LONG) + #define HALF_ENABLE_CPP11_LONG_LONG 1 + #endif +#elif defined(__GNUC__) // gcc + #if defined(__GXX_EXPERIMENTAL_CXX0X__) || __cplusplus >= 201103L + #if HALF_GCC_VERSION >= 408 && !defined(HALF_ENABLE_CPP11_THREAD_LOCAL) + #define HALF_ENABLE_CPP11_THREAD_LOCAL 1 + #endif + #if HALF_GCC_VERSION >= 407 && !defined(HALF_ENABLE_CPP11_USER_LITERALS) + #define HALF_ENABLE_CPP11_USER_LITERALS 1 + #endif + #if HALF_GCC_VERSION >= 406 && !defined(HALF_ENABLE_CPP11_CONSTEXPR) + #define HALF_ENABLE_CPP11_CONSTEXPR 1 + #endif + #if HALF_GCC_VERSION >= 406 && !defined(HALF_ENABLE_CPP11_NOEXCEPT) + #define HALF_ENABLE_CPP11_NOEXCEPT 1 + #endif + #if HALF_GCC_VERSION >= 403 && !defined(HALF_ENABLE_CPP11_STATIC_ASSERT) + #define HALF_ENABLE_CPP11_STATIC_ASSERT 1 + #endif + #if !defined(HALF_ENABLE_CPP11_LONG_LONG) + #define HALF_ENABLE_CPP11_LONG_LONG 1 + #endif + #endif + #define HALF_TWOS_COMPLEMENT_INT 1 +#elif defined(_MSC_VER) // Visual C++ + #if _MSC_VER >= 1900 && !defined(HALF_ENABLE_CPP11_THREAD_LOCAL) + #define HALF_ENABLE_CPP11_THREAD_LOCAL 1 + #endif + #if _MSC_VER >= 1900 && !defined(HALF_ENABLE_CPP11_USER_LITERALS) + #define HALF_ENABLE_CPP11_USER_LITERALS 1 + #endif + #if _MSC_VER >= 1900 && !defined(HALF_ENABLE_CPP11_CONSTEXPR) + #define HALF_ENABLE_CPP11_CONSTEXPR 1 + #endif + #if _MSC_VER >= 1900 && !defined(HALF_ENABLE_CPP11_NOEXCEPT) + #define HALF_ENABLE_CPP11_NOEXCEPT 1 + #endif + #if _MSC_VER >= 1600 && !defined(HALF_ENABLE_CPP11_STATIC_ASSERT) + #define HALF_ENABLE_CPP11_STATIC_ASSERT 1 + #endif + #if _MSC_VER >= 1310 && !defined(HALF_ENABLE_CPP11_LONG_LONG) + #define HALF_ENABLE_CPP11_LONG_LONG 1 + #endif + #define HALF_TWOS_COMPLEMENT_INT 1 + #define HALF_POP_WARNINGS 1 + #pragma warning(push) + #pragma warning(disable : 4099 4127 4146) //struct vs class, constant in if, negative unsigned +#endif + +// check C++11 library features +#include +#if defined(_LIBCPP_VERSION) // libc++ + #if defined(__GXX_EXPERIMENTAL_CXX0X__) || __cplusplus >= 201103 + #ifndef HALF_ENABLE_CPP11_TYPE_TRAITS + #define HALF_ENABLE_CPP11_TYPE_TRAITS 1 + #endif + #ifndef HALF_ENABLE_CPP11_CSTDINT + #define HALF_ENABLE_CPP11_CSTDINT 1 + #endif + #ifndef HALF_ENABLE_CPP11_CMATH + #define HALF_ENABLE_CPP11_CMATH 1 + #endif + #ifndef HALF_ENABLE_CPP11_HASH + #define HALF_ENABLE_CPP11_HASH 1 + #endif + #ifndef HALF_ENABLE_CPP11_CFENV + #define HALF_ENABLE_CPP11_CFENV 1 + #endif + #endif +#elif defined(__GLIBCXX__) // libstdc++ + #if defined(__GXX_EXPERIMENTAL_CXX0X__) || __cplusplus >= 201103 + #ifdef __clang__ + #if __GLIBCXX__ >= 20080606 && !defined(HALF_ENABLE_CPP11_TYPE_TRAITS) + #define HALF_ENABLE_CPP11_TYPE_TRAITS 1 + #endif + #if __GLIBCXX__ >= 20080606 && !defined(HALF_ENABLE_CPP11_CSTDINT) + #define HALF_ENABLE_CPP11_CSTDINT 1 + #endif + #if __GLIBCXX__ >= 20080606 && !defined(HALF_ENABLE_CPP11_CMATH) + #define HALF_ENABLE_CPP11_CMATH 1 + #endif + #if __GLIBCXX__ >= 20080606 && !defined(HALF_ENABLE_CPP11_HASH) + #define HALF_ENABLE_CPP11_HASH 1 + #endif + #if __GLIBCXX__ >= 20080606 && !defined(HALF_ENABLE_CPP11_CFENV) + #define HALF_ENABLE_CPP11_CFENV 1 + #endif + #else + #if HALF_GCC_VERSION >= 403 && !defined(HALF_ENABLE_CPP11_TYPE_TRAITS) + #define HALF_ENABLE_CPP11_TYPE_TRAITS 1 + #endif + #if HALF_GCC_VERSION >= 403 && !defined(HALF_ENABLE_CPP11_CSTDINT) + #define HALF_ENABLE_CPP11_CSTDINT 1 + #endif + #if HALF_GCC_VERSION >= 403 && !defined(HALF_ENABLE_CPP11_CMATH) + #define HALF_ENABLE_CPP11_CMATH 1 + #endif + #if HALF_GCC_VERSION >= 403 && !defined(HALF_ENABLE_CPP11_HASH) + #define HALF_ENABLE_CPP11_HASH 1 + #endif + #if HALF_GCC_VERSION >= 403 && !defined(HALF_ENABLE_CPP11_CFENV) + #define HALF_ENABLE_CPP11_CFENV 1 + #endif + #endif + #endif +#elif defined(_CPPLIB_VER) // Dinkumware/Visual C++ + #if _CPPLIB_VER >= 520 && !defined(HALF_ENABLE_CPP11_TYPE_TRAITS) + #define HALF_ENABLE_CPP11_TYPE_TRAITS 1 + #endif + #if _CPPLIB_VER >= 520 && !defined(HALF_ENABLE_CPP11_CSTDINT) + #define HALF_ENABLE_CPP11_CSTDINT 1 + #endif + #if _CPPLIB_VER >= 520 && !defined(HALF_ENABLE_CPP11_HASH) + #define HALF_ENABLE_CPP11_HASH 1 + #endif + #if _CPPLIB_VER >= 610 && !defined(HALF_ENABLE_CPP11_CMATH) + #define HALF_ENABLE_CPP11_CMATH 1 + #endif + #if _CPPLIB_VER >= 610 && !defined(HALF_ENABLE_CPP11_CFENV) + #define HALF_ENABLE_CPP11_CFENV 1 + #endif +#endif +#undef HALF_GCC_VERSION +#undef HALF_ICC_VERSION + +// any error throwing C++ exceptions? +#if defined(HALF_ERRHANDLING_THROW_INVALID) || defined(HALF_ERRHANDLING_THROW_DIVBYZERO) || defined(HALF_ERRHANDLING_THROW_OVERFLOW) || defined(HALF_ERRHANDLING_THROW_UNDERFLOW) || defined(HALF_ERRHANDLING_THROW_INEXACT) +#define HALF_ERRHANDLING_THROWS 1 +#endif + +// any error handling enabled? +#define HALF_ERRHANDLING (HALF_ERRHANDLING_FLAGS||HALF_ERRHANDLING_ERRNO||HALF_ERRHANDLING_FENV||HALF_ERRHANDLING_THROWS) + +#if HALF_ERRHANDLING + #define HALF_UNUSED_NOERR(name) name +#else + #define HALF_UNUSED_NOERR(name) +#endif + +// support constexpr +#if HALF_ENABLE_CPP11_CONSTEXPR + #define HALF_CONSTEXPR constexpr + #define HALF_CONSTEXPR_CONST constexpr + #if HALF_ERRHANDLING + #define HALF_CONSTEXPR_NOERR + #else + #define HALF_CONSTEXPR_NOERR constexpr + #endif +#else + #define HALF_CONSTEXPR + #define HALF_CONSTEXPR_CONST const + #define HALF_CONSTEXPR_NOERR +#endif + +// support noexcept +#if HALF_ENABLE_CPP11_NOEXCEPT + #define HALF_NOEXCEPT noexcept + #define HALF_NOTHROW noexcept +#else + #define HALF_NOEXCEPT + #define HALF_NOTHROW throw() +#endif + +// support thread storage +#if HALF_ENABLE_CPP11_THREAD_LOCAL + #define HALF_THREAD_LOCAL thread_local +#else + #define HALF_THREAD_LOCAL static +#endif + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#if HALF_ENABLE_CPP11_TYPE_TRAITS + #include +#endif +#if HALF_ENABLE_CPP11_CSTDINT + #include +#endif +#if HALF_ERRHANDLING_ERRNO + #include +#endif +#if HALF_ENABLE_CPP11_CFENV + #include +#endif +#if HALF_ENABLE_CPP11_HASH + #include +#endif +#if HALF_ENABLE_F16C_INTRINSICS + #include +#endif + + +#ifndef HALF_ENABLE_F16C_INTRINSICS + /// Enable F16C intruction set intrinsics. + /// Defining this to 1 enables the use of [F16C compiler intrinsics](https://en.wikipedia.org/wiki/F16C) for converting between + /// half-precision and single-precision values which may result in improved performance. This will not perform additional checks + /// for support of the F16C instruction set, so an appropriate target platform is required when enabling this feature. + /// + /// Unless predefined it will be enabled automatically when the `__F16C__` symbol is defined, which some compilers do on supporting platforms. + #define HALF_ENABLE_F16C_INTRINSICS __F16C__ +#endif + +#ifdef HALF_DOXYGEN_ONLY +/// Type for internal floating-point computations. +/// This can be predefined to a built-in floating-point type (`float`, `double` or `long double`) to override the internal +/// half-precision implementation to use this type for computing arithmetic operations and mathematical function (if available). +/// This can result in improved performance for arithmetic operators and mathematical functions but might cause results to +/// deviate from the specified half-precision rounding mode and inhibits proper detection of half-precision exceptions. +#define HALF_ARITHMETIC_TYPE (undefined) + +/// Enable internal exception flags. +/// Defining this to 1 causes operations on half-precision values to raise internal floating-point exception flags according to +/// the IEEE 754 standard. These can then be cleared and checked with clearexcept(), testexcept(). +#define HALF_ERRHANDLING_FLAGS 0 + +/// Enable exception propagation to `errno`. +/// Defining this to 1 causes operations on half-precision values to propagate floating-point exceptions to +/// [errno](https://en.cppreference.com/w/cpp/error/errno) from ``. Specifically this will propagate domain errors as +/// [EDOM](https://en.cppreference.com/w/cpp/error/errno_macros) and pole, overflow and underflow errors as +/// [ERANGE](https://en.cppreference.com/w/cpp/error/errno_macros). Inexact errors won't be propagated. +#define HALF_ERRHANDLING_ERRNO 0 + +/// Enable exception propagation to built-in floating-point platform. +/// Defining this to 1 causes operations on half-precision values to propagate floating-point exceptions to the built-in +/// single- and double-precision implementation's exception flags using the +/// [C++11 floating-point environment control](https://en.cppreference.com/w/cpp/numeric/fenv) from ``. However, this +/// does not work in reverse and single- or double-precision exceptions will not raise the corresponding half-precision +/// exception flags, nor will explicitly clearing flags clear the corresponding built-in flags. +#define HALF_ERRHANDLING_FENV 0 + +/// Throw C++ exception on domain errors. +/// Defining this to a string literal causes operations on half-precision values to throw a +/// [std::domain_error](https://en.cppreference.com/w/cpp/error/domain_error) with the specified message on domain errors. +#define HALF_ERRHANDLING_THROW_INVALID (undefined) + +/// Throw C++ exception on pole errors. +/// Defining this to a string literal causes operations on half-precision values to throw a +/// [std::domain_error](https://en.cppreference.com/w/cpp/error/domain_error) with the specified message on pole errors. +#define HALF_ERRHANDLING_THROW_DIVBYZERO (undefined) + +/// Throw C++ exception on overflow errors. +/// Defining this to a string literal causes operations on half-precision values to throw a +/// [std::overflow_error](https://en.cppreference.com/w/cpp/error/overflow_error) with the specified message on overflows. +#define HALF_ERRHANDLING_THROW_OVERFLOW (undefined) + +/// Throw C++ exception on underflow errors. +/// Defining this to a string literal causes operations on half-precision values to throw a +/// [std::underflow_error](https://en.cppreference.com/w/cpp/error/underflow_error) with the specified message on underflows. +#define HALF_ERRHANDLING_THROW_UNDERFLOW (undefined) + +/// Throw C++ exception on rounding errors. +/// Defining this to 1 causes operations on half-precision values to throw a +/// [std::range_error](https://en.cppreference.com/w/cpp/error/range_error) with the specified message on general rounding errors. +#define HALF_ERRHANDLING_THROW_INEXACT (undefined) +#endif + +#ifndef HALF_ERRHANDLING_OVERFLOW_TO_INEXACT +/// Raise INEXACT exception on overflow. +/// Defining this to 1 (default) causes overflow errors to automatically raise inexact exceptions in addition. +/// These will be raised after any possible handling of the underflow exception. +#define HALF_ERRHANDLING_OVERFLOW_TO_INEXACT 1 +#endif + +#ifndef HALF_ERRHANDLING_UNDERFLOW_TO_INEXACT +/// Raise INEXACT exception on underflow. +/// Defining this to 1 (default) causes underflow errors to automatically raise inexact exceptions in addition. +/// These will be raised after any possible handling of the underflow exception. +/// +/// **Note:** This will actually cause underflow (and the accompanying inexact) exceptions to be raised *only* when the result +/// is inexact, while if disabled bare underflow errors will be raised for *any* (possibly exact) subnormal result. +#define HALF_ERRHANDLING_UNDERFLOW_TO_INEXACT 1 +#endif + +/// Default rounding mode. +/// This specifies the rounding mode used for all conversions between [half](\ref half_float::half)s and more precise types +/// (unless using half_cast() and specifying the rounding mode directly) as well as in arithmetic operations and mathematical +/// functions. It can be redefined (before including half.hpp) to one of the standard rounding modes using their respective +/// constants or the equivalent values of +/// [std::float_round_style](https://en.cppreference.com/w/cpp/types/numeric_limits/float_round_style): +/// +/// `std::float_round_style` | value | rounding +/// ---------------------------------|-------|------------------------- +/// `std::round_indeterminate` | -1 | fastest +/// `std::round_toward_zero` | 0 | toward zero +/// `std::round_to_nearest` | 1 | to nearest (default) +/// `std::round_toward_infinity` | 2 | toward positive infinity +/// `std::round_toward_neg_infinity` | 3 | toward negative infinity +/// +/// By default this is set to `1` (`std::round_to_nearest`), which rounds results to the nearest representable value. It can even +/// be set to [std::numeric_limits::round_style](https://en.cppreference.com/w/cpp/types/numeric_limits/round_style) to synchronize +/// the rounding mode with that of the built-in single-precision implementation (which is likely `std::round_to_nearest`, though). +#ifndef HALF_ROUND_STYLE + #define HALF_ROUND_STYLE 1 // = std::round_to_nearest +#endif + +/// Value signaling overflow. +/// In correspondence with `HUGE_VAL[F|L]` from `` this symbol expands to a positive value signaling the overflow of an +/// operation, in particular it just evaluates to positive infinity. +/// +/// **See also:** Documentation for [HUGE_VAL](https://en.cppreference.com/w/cpp/numeric/math/HUGE_VAL) +#define HUGE_VALH std::numeric_limits::infinity() + +/// Fast half-precision fma function. +/// This symbol is defined if the fma() function generally executes as fast as, or faster than, a separate +/// half-precision multiplication followed by an addition, which is always the case. +/// +/// **See also:** Documentation for [FP_FAST_FMA](https://en.cppreference.com/w/cpp/numeric/math/fma) +#define FP_FAST_FMAH 1 + +/// Half rounding mode. +/// In correspondence with `FLT_ROUNDS` from `` this symbol expands to the rounding mode used for +/// half-precision operations. It is an alias for [HALF_ROUND_STYLE](\ref HALF_ROUND_STYLE). +/// +/// **See also:** Documentation for [FLT_ROUNDS](https://en.cppreference.com/w/cpp/types/climits/FLT_ROUNDS) +#define HLF_ROUNDS HALF_ROUND_STYLE + +#ifndef FP_ILOGB0 + #define FP_ILOGB0 INT_MIN +#endif +#ifndef FP_ILOGBNAN + #define FP_ILOGBNAN INT_MAX +#endif +#ifndef FP_SUBNORMAL + #define FP_SUBNORMAL 0 +#endif +#ifndef FP_ZERO + #define FP_ZERO 1 +#endif +#ifndef FP_NAN + #define FP_NAN 2 +#endif +#ifndef FP_INFINITE + #define FP_INFINITE 3 +#endif +#ifndef FP_NORMAL + #define FP_NORMAL 4 +#endif + +#if !HALF_ENABLE_CPP11_CFENV && !defined(FE_ALL_EXCEPT) + #define FE_INVALID 0x10 + #define FE_DIVBYZERO 0x08 + #define FE_OVERFLOW 0x04 + #define FE_UNDERFLOW 0x02 + #define FE_INEXACT 0x01 + #define FE_ALL_EXCEPT (FE_INVALID|FE_DIVBYZERO|FE_OVERFLOW|FE_UNDERFLOW|FE_INEXACT) +#endif + + +/// Main namespace for half-precision functionality. +/// This namespace contains all the functionality provided by the library. +namespace half_float +{ + class half; + +#if HALF_ENABLE_CPP11_USER_LITERALS + /// Library-defined half-precision literals. + /// Import this namespace to enable half-precision floating-point literals: + /// ~~~~{.cpp} + /// using namespace half_float::literal; + /// half_float::half = 4.2_h; + /// ~~~~ + namespace literal + { + half operator "" _h(long double); + } +#endif + + /// \internal + /// \brief Implementation details. + namespace detail + { + #if HALF_ENABLE_CPP11_TYPE_TRAITS + /// Conditional type. + template struct conditional : std::conditional {}; + + /// Helper for tag dispatching. + template struct bool_type : std::integral_constant {}; + using std::true_type; + using std::false_type; + + /// Type traits for floating-point types. + template struct is_float : std::is_floating_point {}; + #else + /// Conditional type. + template struct conditional { typedef T type; }; + template struct conditional { typedef F type; }; + + /// Helper for tag dispatching. + template struct bool_type {}; + typedef bool_type true_type; + typedef bool_type false_type; + + /// Type traits for floating-point types. + template struct is_float : false_type {}; + template struct is_float : is_float {}; + template struct is_float : is_float {}; + template struct is_float : is_float {}; + template<> struct is_float : true_type {}; + template<> struct is_float : true_type {}; + template<> struct is_float : true_type {}; + #endif + + /// Type traits for floating-point bits. + template struct bits { typedef unsigned char type; }; + template struct bits : bits {}; + template struct bits : bits {}; + template struct bits : bits {}; + + #if HALF_ENABLE_CPP11_CSTDINT + /// Unsigned integer of (at least) 16 bits width. + typedef std::uint_least16_t uint16; + + /// Fastest unsigned integer of (at least) 32 bits width. + typedef std::uint_fast32_t uint32; + + /// Fastest signed integer of (at least) 32 bits width. + typedef std::int_fast32_t int32; + + /// Unsigned integer of (at least) 32 bits width. + template<> struct bits { typedef std::uint_least32_t type; }; + + /// Unsigned integer of (at least) 64 bits width. + template<> struct bits { typedef std::uint_least64_t type; }; + #else + /// Unsigned integer of (at least) 16 bits width. + typedef unsigned short uint16; + + /// Fastest unsigned integer of (at least) 32 bits width. + typedef unsigned long uint32; + + /// Fastest unsigned integer of (at least) 32 bits width. + typedef long int32; + + /// Unsigned integer of (at least) 32 bits width. + template<> struct bits : conditional::digits>=32,unsigned int,unsigned long> {}; + + #if HALF_ENABLE_CPP11_LONG_LONG + /// Unsigned integer of (at least) 64 bits width. + template<> struct bits : conditional::digits>=64,unsigned long,unsigned long long> {}; + #else + /// Unsigned integer of (at least) 64 bits width. + template<> struct bits { typedef unsigned long type; }; + #endif + #endif + + #ifdef HALF_ARITHMETIC_TYPE + /// Type to use for arithmetic computations and mathematic functions internally. + typedef HALF_ARITHMETIC_TYPE internal_t; + #endif + + /// Tag type for binary construction. + struct binary_t {}; + + /// Tag for binary construction. + HALF_CONSTEXPR_CONST binary_t binary = binary_t(); + + /// \name Implementation defined classification and arithmetic + /// \{ + + /// Check for infinity. + /// \tparam T argument type (builtin floating-point type) + /// \param arg value to query + /// \retval true if infinity + /// \retval false else + template bool builtin_isinf(T arg) + { + #if HALF_ENABLE_CPP11_CMATH + return std::isinf(arg); + #elif defined(_MSC_VER) + return !::_finite(static_cast(arg)) && !::_isnan(static_cast(arg)); + #else + return arg == std::numeric_limits::infinity() || arg == -std::numeric_limits::infinity(); + #endif + } + + /// Check for NaN. + /// \tparam T argument type (builtin floating-point type) + /// \param arg value to query + /// \retval true if not a number + /// \retval false else + template bool builtin_isnan(T arg) + { + #if HALF_ENABLE_CPP11_CMATH + return std::isnan(arg); + #elif defined(_MSC_VER) + return ::_isnan(static_cast(arg)) != 0; + #else + return arg != arg; + #endif + } + + /// Check sign. + /// \tparam T argument type (builtin floating-point type) + /// \param arg value to query + /// \retval true if signbit set + /// \retval false else + template bool builtin_signbit(T arg) + { + #if HALF_ENABLE_CPP11_CMATH + return std::signbit(arg); + #else + return arg < T() || (arg == T() && T(1)/arg < T()); + #endif + } + + /// Platform-independent sign mask. + /// \param arg integer value in two's complement + /// \retval -1 if \a arg negative + /// \retval 0 if \a arg positive + inline uint32 sign_mask(uint32 arg) + { + static const int N = std::numeric_limits::digits - 1; + #if HALF_TWOS_COMPLEMENT_INT + return static_cast(arg) >> N; + #else + return -((arg>>N)&1); + #endif + } + + /// Platform-independent arithmetic right shift. + /// \param arg integer value in two's complement + /// \param i shift amount (at most 31) + /// \return \a arg right shifted for \a i bits with possible sign extension + inline uint32 arithmetic_shift(uint32 arg, int i) + { + #if HALF_TWOS_COMPLEMENT_INT + return static_cast(arg) >> i; + #else + return static_cast(arg)/(static_cast(1)<>(std::numeric_limits::digits-1))&1); + #endif + } + + /// \} + /// \name Error handling + /// \{ + + /// Internal exception flags. + /// \return reference to global exception flags + inline int& errflags() { HALF_THREAD_LOCAL int flags = 0; return flags; } + + /// Raise floating-point exception. + /// \param flags exceptions to raise + /// \param cond condition to raise exceptions for + inline void raise(int HALF_UNUSED_NOERR(flags), bool HALF_UNUSED_NOERR(cond) = true) + { + #if HALF_ERRHANDLING + if(!cond) + return; + #if HALF_ERRHANDLING_FLAGS + errflags() |= flags; + #endif + #if HALF_ERRHANDLING_ERRNO + if(flags & FE_INVALID) + errno = EDOM; + else if(flags & (FE_DIVBYZERO|FE_OVERFLOW|FE_UNDERFLOW)) + errno = ERANGE; + #endif + #if HALF_ERRHANDLING_FENV && HALF_ENABLE_CPP11_CFENV + std::feraiseexcept(flags); + #endif + #ifdef HALF_ERRHANDLING_THROW_INVALID + if(flags & FE_INVALID) + throw std::domain_error(HALF_ERRHANDLING_THROW_INVALID); + #endif + #ifdef HALF_ERRHANDLING_THROW_DIVBYZERO + if(flags & FE_DIVBYZERO) + throw std::domain_error(HALF_ERRHANDLING_THROW_DIVBYZERO); + #endif + #ifdef HALF_ERRHANDLING_THROW_OVERFLOW + if(flags & FE_OVERFLOW) + throw std::overflow_error(HALF_ERRHANDLING_THROW_OVERFLOW); + #endif + #ifdef HALF_ERRHANDLING_THROW_UNDERFLOW + if(flags & FE_UNDERFLOW) + throw std::underflow_error(HALF_ERRHANDLING_THROW_UNDERFLOW); + #endif + #ifdef HALF_ERRHANDLING_THROW_INEXACT + if(flags & FE_INEXACT) + throw std::range_error(HALF_ERRHANDLING_THROW_INEXACT); + #endif + #if HALF_ERRHANDLING_UNDERFLOW_TO_INEXACT + if((flags & FE_UNDERFLOW) && !(flags & FE_INEXACT)) + raise(FE_INEXACT); + #endif + #if HALF_ERRHANDLING_OVERFLOW_TO_INEXACT + if((flags & FE_OVERFLOW) && !(flags & FE_INEXACT)) + raise(FE_INEXACT); + #endif + #endif + } + + /// Check and signal for any NaN. + /// \param x first half-precision value to check + /// \param y second half-precision value to check + /// \retval true if either \a x or \a y is NaN + /// \retval false else + /// \exception FE_INVALID if \a x or \a y is NaN + inline HALF_CONSTEXPR_NOERR bool compsignal(unsigned int x, unsigned int y) + { + #if HALF_ERRHANDLING + raise(FE_INVALID, (x&0x7FFF)>0x7C00 || (y&0x7FFF)>0x7C00); + #endif + return (x&0x7FFF) > 0x7C00 || (y&0x7FFF) > 0x7C00; + } + + /// Signal and silence signaling NaN. + /// \param nan half-precision NaN value + /// \return quiet NaN + /// \exception FE_INVALID if \a nan is signaling NaN + inline HALF_CONSTEXPR_NOERR unsigned int signal(unsigned int nan) + { + #if HALF_ERRHANDLING + raise(FE_INVALID, !(nan&0x200)); + #endif + return nan | 0x200; + } + + /// Signal and silence signaling NaNs. + /// \param x first half-precision value to check + /// \param y second half-precision value to check + /// \return quiet NaN + /// \exception FE_INVALID if \a x or \a y is signaling NaN + inline HALF_CONSTEXPR_NOERR unsigned int signal(unsigned int x, unsigned int y) + { + #if HALF_ERRHANDLING + raise(FE_INVALID, ((x&0x7FFF)>0x7C00 && !(x&0x200)) || ((y&0x7FFF)>0x7C00 && !(y&0x200))); + #endif + return ((x&0x7FFF)>0x7C00) ? (x|0x200) : (y|0x200); + } + + /// Signal and silence signaling NaNs. + /// \param x first half-precision value to check + /// \param y second half-precision value to check + /// \param z third half-precision value to check + /// \return quiet NaN + /// \exception FE_INVALID if \a x, \a y or \a z is signaling NaN + inline HALF_CONSTEXPR_NOERR unsigned int signal(unsigned int x, unsigned int y, unsigned int z) + { + #if HALF_ERRHANDLING + raise(FE_INVALID, ((x&0x7FFF)>0x7C00 && !(x&0x200)) || ((y&0x7FFF)>0x7C00 && !(y&0x200)) || ((z&0x7FFF)>0x7C00 && !(z&0x200))); + #endif + return ((x&0x7FFF)>0x7C00) ? (x|0x200) : ((y&0x7FFF)>0x7C00) ? (y|0x200) : (z|0x200); + } + + /// Select value or signaling NaN. + /// \param x preferred half-precision value + /// \param y ignored half-precision value except for signaling NaN + /// \return \a y if signaling NaN, \a x otherwise + /// \exception FE_INVALID if \a y is signaling NaN + inline HALF_CONSTEXPR_NOERR unsigned int select(unsigned int x, unsigned int HALF_UNUSED_NOERR(y)) + { + #if HALF_ERRHANDLING + return (((y&0x7FFF)>0x7C00) && !(y&0x200)) ? signal(y) : x; + #else + return x; + #endif + } + + /// Raise domain error and return NaN. + /// return quiet NaN + /// \exception FE_INVALID + inline HALF_CONSTEXPR_NOERR unsigned int invalid() + { + #if HALF_ERRHANDLING + raise(FE_INVALID); + #endif + return 0x7FFF; + } + + /// Raise pole error and return infinity. + /// \param sign half-precision value with sign bit only + /// \return half-precision infinity with sign of \a sign + /// \exception FE_DIVBYZERO + inline HALF_CONSTEXPR_NOERR unsigned int pole(unsigned int sign = 0) + { + #if HALF_ERRHANDLING + raise(FE_DIVBYZERO); + #endif + return sign | 0x7C00; + } + + /// Check value for underflow. + /// \param arg non-zero half-precision value to check + /// \return \a arg + /// \exception FE_UNDERFLOW if arg is subnormal + inline HALF_CONSTEXPR_NOERR unsigned int check_underflow(unsigned int arg) + { + #if HALF_ERRHANDLING && !HALF_ERRHANDLING_UNDERFLOW_TO_INEXACT + raise(FE_UNDERFLOW, !(arg&0x7C00)); + #endif + return arg; + } + + /// \} + /// \name Conversion and rounding + /// \{ + + /// Half-precision overflow. + /// \tparam R rounding mode to use + /// \param sign half-precision value with sign bit only + /// \return rounded overflowing half-precision value + /// \exception FE_OVERFLOW + template HALF_CONSTEXPR_NOERR unsigned int overflow(unsigned int sign = 0) + { + #if HALF_ERRHANDLING + raise(FE_OVERFLOW); + #endif + return (R==std::round_toward_infinity) ? (sign+0x7C00-(sign>>15)) : + (R==std::round_toward_neg_infinity) ? (sign+0x7BFF+(sign>>15)) : + (R==std::round_toward_zero) ? (sign|0x7BFF) : + (sign|0x7C00); + } + + /// Half-precision underflow. + /// \tparam R rounding mode to use + /// \param sign half-precision value with sign bit only + /// \return rounded underflowing half-precision value + /// \exception FE_UNDERFLOW + template HALF_CONSTEXPR_NOERR unsigned int underflow(unsigned int sign = 0) + { + #if HALF_ERRHANDLING + raise(FE_UNDERFLOW); + #endif + return (R==std::round_toward_infinity) ? (sign+1-(sign>>15)) : + (R==std::round_toward_neg_infinity) ? (sign+(sign>>15)) : + sign; + } + + /// Round half-precision number. + /// \tparam R rounding mode to use + /// \tparam I `true` to always raise INEXACT exception, `false` to raise only for rounded results + /// \param value finite half-precision number to round + /// \param g guard bit (most significant discarded bit) + /// \param s sticky bit (or of all but the most significant discarded bits) + /// \return rounded half-precision value + /// \exception FE_OVERFLOW on overflows + /// \exception FE_UNDERFLOW on underflows + /// \exception FE_INEXACT if value had to be rounded or \a I is `true` + template HALF_CONSTEXPR_NOERR unsigned int rounded(unsigned int value, int g, int s) + { + #if HALF_ERRHANDLING + value += (R==std::round_to_nearest) ? (g&(s|value)) : + (R==std::round_toward_infinity) ? (~(value>>15)&(g|s)) : + (R==std::round_toward_neg_infinity) ? ((value>>15)&(g|s)) : 0; + if((value&0x7C00) == 0x7C00) + raise(FE_OVERFLOW); + else if(value & 0x7C00) + raise(FE_INEXACT, I || (g|s)!=0); + else + raise(FE_UNDERFLOW, !(HALF_ERRHANDLING_UNDERFLOW_TO_INEXACT) || I || (g|s)!=0); + return value; + #else + return (R==std::round_to_nearest) ? (value+(g&(s|value))) : + (R==std::round_toward_infinity) ? (value+(~(value>>15)&(g|s))) : + (R==std::round_toward_neg_infinity) ? (value+((value>>15)&(g|s))) : + value; + #endif + } + + /// Round half-precision number to nearest integer value. + /// \tparam R rounding mode to use + /// \tparam E `true` for round to even, `false` for round away from zero + /// \tparam I `true` to raise INEXACT exception (if inexact), `false` to never raise it + /// \param value half-precision value to round + /// \return half-precision bits for nearest integral value + /// \exception FE_INVALID for signaling NaN + /// \exception FE_INEXACT if value had to be rounded and \a I is `true` + template unsigned int integral(unsigned int value) + { + unsigned int abs = value & 0x7FFF; + if(abs < 0x3C00) + { + raise(FE_INEXACT, I); + return ((R==std::round_to_nearest) ? (0x3C00&-static_cast(abs>=(0x3800+E))) : + (R==std::round_toward_infinity) ? (0x3C00&-(~(value>>15)&(abs!=0))) : + (R==std::round_toward_neg_infinity) ? (0x3C00&-static_cast(value>0x8000)) : + 0) | (value&0x8000); + } + if(abs >= 0x6400) + return (abs>0x7C00) ? signal(value) : value; + unsigned int exp = 25 - (abs>>10), mask = (1<>exp)&E)) : + (R==std::round_toward_infinity) ? (mask&((value>>15)-1)) : + (R==std::round_toward_neg_infinity) ? (mask&-(value>>15)) : + 0) + value) & ~mask; + } + + /// Convert fixed point to half-precision floating-point. + /// \tparam R rounding mode to use + /// \tparam F number of fractional bits (at least 11) + /// \tparam S `true` for signed, `false` for unsigned + /// \tparam N `true` for additional normalization step, `false` if already normalized to 1.F + /// \tparam I `true` to always raise INEXACT exception, `false` to raise only for rounded results + /// \param m mantissa in Q1.F fixed point format + /// \param exp exponent + /// \param sign half-precision value with sign bit only + /// \param s sticky bit (or of all but the most significant already discarded bits) + /// \return value converted to half-precision + /// \exception FE_OVERFLOW on overflows + /// \exception FE_UNDERFLOW on underflows + /// \exception FE_INEXACT if value had to be rounded or \a I is `true` + template unsigned int fixed2half(uint32 m, int exp = 14, unsigned int sign = 0, int s = 0) + { + if(S) + { + uint32 msign = sign_mask(m); + m = (m^msign) - msign; + sign = msign & 0x8000; + } + if(N) + for(; m<(static_cast(1)<(sign+(m>>(F-10-exp)), (m>>(F-11-exp))&1, s|((m&((static_cast(1)<<(F-11-exp))-1))!=0)); + return rounded(sign+(exp<<10)+(m>>(F-10)), (m>>(F-11))&1, s|((m&((static_cast(1)<<(F-11))-1))!=0)); + } + + /// Convert IEEE single-precision to half-precision. + /// Credit for this goes to [Jeroen van der Zijp](ftp://ftp.fox-toolkit.org/pub/fasthalffloatconversion.pdf). + /// \tparam R rounding mode to use + /// \param value single-precision value to convert + /// \return rounded half-precision value + /// \exception FE_OVERFLOW on overflows + /// \exception FE_UNDERFLOW on underflows + /// \exception FE_INEXACT if value had to be rounded + template unsigned int float2half_impl(float value, true_type) + { + #if HALF_ENABLE_F16C_INTRINSICS + return _mm_cvtsi128_si32(_mm_cvtps_ph(_mm_set_ss(value), + (R==std::round_to_nearest) ? _MM_FROUND_TO_NEAREST_INT : + (R==std::round_toward_zero) ? _MM_FROUND_TO_ZERO : + (R==std::round_toward_infinity) ? _MM_FROUND_TO_POS_INF : + (R==std::round_toward_neg_infinity) ? _MM_FROUND_TO_NEG_INF : + _MM_FROUND_CUR_DIRECTION)); + #else + bits::type fbits; + std::memcpy(&fbits, &value, sizeof(float)); + #if 1 + unsigned int sign = (fbits>>16) & 0x8000; + fbits &= 0x7FFFFFFF; + if(fbits >= 0x7F800000) + return sign | 0x7C00 | ((fbits>0x7F800000) ? (0x200|((fbits>>13)&0x3FF)) : 0); + if(fbits >= 0x47800000) + return overflow(sign); + if(fbits >= 0x38800000) + return rounded(sign|(((fbits>>23)-112)<<10)|((fbits>>13)&0x3FF), (fbits>>12)&1, (fbits&0xFFF)!=0); + if(fbits >= 0x33000000) + { + int i = 125 - (fbits>>23); + fbits = (fbits&0x7FFFFF) | 0x800000; + return rounded(sign|(fbits>>(i+1)), (fbits>>i)&1, (fbits&((static_cast(1)<(sign); + return sign; + #else + static const uint16 base_table[512] = { + 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, + 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, + 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, + 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, + 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, + 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, + 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0001, 0x0002, 0x0004, 0x0008, 0x0010, 0x0020, 0x0040, 0x0080, 0x0100, + 0x0200, 0x0400, 0x0800, 0x0C00, 0x1000, 0x1400, 0x1800, 0x1C00, 0x2000, 0x2400, 0x2800, 0x2C00, 0x3000, 0x3400, 0x3800, 0x3C00, + 0x4000, 0x4400, 0x4800, 0x4C00, 0x5000, 0x5400, 0x5800, 0x5C00, 0x6000, 0x6400, 0x6800, 0x6C00, 0x7000, 0x7400, 0x7800, 0x7BFF, + 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, + 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, + 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, + 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, + 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, + 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, + 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7BFF, 0x7C00, + 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, + 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, + 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, + 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, + 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, + 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, + 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8000, 0x8001, 0x8002, 0x8004, 0x8008, 0x8010, 0x8020, 0x8040, 0x8080, 0x8100, + 0x8200, 0x8400, 0x8800, 0x8C00, 0x9000, 0x9400, 0x9800, 0x9C00, 0xA000, 0xA400, 0xA800, 0xAC00, 0xB000, 0xB400, 0xB800, 0xBC00, + 0xC000, 0xC400, 0xC800, 0xCC00, 0xD000, 0xD400, 0xD800, 0xDC00, 0xE000, 0xE400, 0xE800, 0xEC00, 0xF000, 0xF400, 0xF800, 0xFBFF, + 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, + 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, + 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, + 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, + 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, + 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, + 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFBFF, 0xFC00 }; + static const unsigned char shift_table[256] = { + 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, + 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, + 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, + 25, 25, 25, 25, 25, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, + 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 13 }; + int sexp = fbits >> 23, exp = sexp & 0xFF, i = shift_table[exp]; + fbits &= 0x7FFFFF; + uint32 m = (fbits|((exp!=0)<<23)) & -static_cast(exp!=0xFF); + return rounded(base_table[sexp]+(fbits>>i), (m>>(i-1))&1, (((static_cast(1)<<(i-1))-1)&m)!=0); + #endif + #endif + } + + /// Convert IEEE double-precision to half-precision. + /// \tparam R rounding mode to use + /// \param value double-precision value to convert + /// \return rounded half-precision value + /// \exception FE_OVERFLOW on overflows + /// \exception FE_UNDERFLOW on underflows + /// \exception FE_INEXACT if value had to be rounded + template unsigned int float2half_impl(double value, true_type) + { + #if HALF_ENABLE_F16C_INTRINSICS + if(R == std::round_indeterminate) + return _mm_cvtsi128_si32(_mm_cvtps_ph(_mm_cvtpd_ps(_mm_set_sd(value)), _MM_FROUND_CUR_DIRECTION)); + #endif + bits::type dbits; + std::memcpy(&dbits, &value, sizeof(double)); + uint32 hi = dbits >> 32, lo = dbits & 0xFFFFFFFF; + unsigned int sign = (hi>>16) & 0x8000; + hi &= 0x7FFFFFFF; + if(hi >= 0x7FF00000) + return sign | 0x7C00 | ((dbits&0xFFFFFFFFFFFFF) ? (0x200|((hi>>10)&0x3FF)) : 0); + if(hi >= 0x40F00000) + return overflow(sign); + if(hi >= 0x3F100000) + return rounded(sign|(((hi>>20)-1008)<<10)|((hi>>10)&0x3FF), (hi>>9)&1, ((hi&0x1FF)|lo)!=0); + if(hi >= 0x3E600000) + { + int i = 1018 - (hi>>20); + hi = (hi&0xFFFFF) | 0x100000; + return rounded(sign|(hi>>(i+1)), (hi>>i)&1, ((hi&((static_cast(1)<(sign); + return sign; + } + + /// Convert non-IEEE floating-point to half-precision. + /// \tparam R rounding mode to use + /// \tparam T source type (builtin floating-point type) + /// \param value floating-point value to convert + /// \return rounded half-precision value + /// \exception FE_OVERFLOW on overflows + /// \exception FE_UNDERFLOW on underflows + /// \exception FE_INEXACT if value had to be rounded + template unsigned int float2half_impl(T value, ...) + { + unsigned int hbits = static_cast(builtin_signbit(value)) << 15; + if(value == T()) + return hbits; + if(builtin_isnan(value)) + return hbits | 0x7FFF; + if(builtin_isinf(value)) + return hbits | 0x7C00; + int exp; + std::frexp(value, &exp); + if(exp > 16) + return overflow(hbits); + if(exp < -13) + value = std::ldexp(value, 25); + else + { + value = std::ldexp(value, 12-exp); + hbits |= ((exp+13)<<10); + } + T ival, frac = std::modf(value, &ival); + int m = std::abs(static_cast(ival)); + return rounded(hbits+(m>>1), m&1, frac!=T()); + } + + /// Convert floating-point to half-precision. + /// \tparam R rounding mode to use + /// \tparam T source type (builtin floating-point type) + /// \param value floating-point value to convert + /// \return rounded half-precision value + /// \exception FE_OVERFLOW on overflows + /// \exception FE_UNDERFLOW on underflows + /// \exception FE_INEXACT if value had to be rounded + template unsigned int float2half(T value) + { + return float2half_impl(value, bool_type::is_iec559&&sizeof(typename bits::type)==sizeof(T)>()); + } + + /// Convert integer to half-precision floating-point. + /// \tparam R rounding mode to use + /// \tparam T type to convert (builtin integer type) + /// \param value integral value to convert + /// \return rounded half-precision value + /// \exception FE_OVERFLOW on overflows + /// \exception FE_INEXACT if value had to be rounded + template unsigned int int2half(T value) + { + unsigned int bits = static_cast(value<0) << 15; + if(!value) + return bits; + if(bits) + value = -value; + if(value > 0xFFFF) + return overflow(bits); + unsigned int m = static_cast(value), exp = 24; + for(; m<0x400; m<<=1,--exp) ; + for(; m>0x7FF; m>>=1,++exp) ; + bits |= (exp<<10) + m; + return (exp>24) ? rounded(bits, (value>>(exp-25))&1, (((1<<(exp-25))-1)&value)!=0) : bits; + } + + /// Convert half-precision to IEEE single-precision. + /// Credit for this goes to [Jeroen van der Zijp](ftp://ftp.fox-toolkit.org/pub/fasthalffloatconversion.pdf). + /// \param value half-precision value to convert + /// \return single-precision value + inline float half2float_impl(unsigned int value, float, true_type) + { + #if HALF_ENABLE_F16C_INTRINSICS + return _mm_cvtss_f32(_mm_cvtph_ps(_mm_cvtsi32_si128(value))); + #else + #if 0 + bits::type fbits = static_cast::type>(value&0x8000) << 16; + int abs = value & 0x7FFF; + if(abs) + { + fbits |= 0x38000000 << static_cast(abs>=0x7C00); + for(; abs<0x400; abs<<=1,fbits-=0x800000) ; + fbits += static_cast::type>(abs) << 13; + } + #else + static const bits::type mantissa_table[2048] = { + 0x00000000, 0x33800000, 0x34000000, 0x34400000, 0x34800000, 0x34A00000, 0x34C00000, 0x34E00000, 0x35000000, 0x35100000, 0x35200000, 0x35300000, 0x35400000, 0x35500000, 0x35600000, 0x35700000, + 0x35800000, 0x35880000, 0x35900000, 0x35980000, 0x35A00000, 0x35A80000, 0x35B00000, 0x35B80000, 0x35C00000, 0x35C80000, 0x35D00000, 0x35D80000, 0x35E00000, 0x35E80000, 0x35F00000, 0x35F80000, + 0x36000000, 0x36040000, 0x36080000, 0x360C0000, 0x36100000, 0x36140000, 0x36180000, 0x361C0000, 0x36200000, 0x36240000, 0x36280000, 0x362C0000, 0x36300000, 0x36340000, 0x36380000, 0x363C0000, + 0x36400000, 0x36440000, 0x36480000, 0x364C0000, 0x36500000, 0x36540000, 0x36580000, 0x365C0000, 0x36600000, 0x36640000, 0x36680000, 0x366C0000, 0x36700000, 0x36740000, 0x36780000, 0x367C0000, + 0x36800000, 0x36820000, 0x36840000, 0x36860000, 0x36880000, 0x368A0000, 0x368C0000, 0x368E0000, 0x36900000, 0x36920000, 0x36940000, 0x36960000, 0x36980000, 0x369A0000, 0x369C0000, 0x369E0000, + 0x36A00000, 0x36A20000, 0x36A40000, 0x36A60000, 0x36A80000, 0x36AA0000, 0x36AC0000, 0x36AE0000, 0x36B00000, 0x36B20000, 0x36B40000, 0x36B60000, 0x36B80000, 0x36BA0000, 0x36BC0000, 0x36BE0000, + 0x36C00000, 0x36C20000, 0x36C40000, 0x36C60000, 0x36C80000, 0x36CA0000, 0x36CC0000, 0x36CE0000, 0x36D00000, 0x36D20000, 0x36D40000, 0x36D60000, 0x36D80000, 0x36DA0000, 0x36DC0000, 0x36DE0000, + 0x36E00000, 0x36E20000, 0x36E40000, 0x36E60000, 0x36E80000, 0x36EA0000, 0x36EC0000, 0x36EE0000, 0x36F00000, 0x36F20000, 0x36F40000, 0x36F60000, 0x36F80000, 0x36FA0000, 0x36FC0000, 0x36FE0000, + 0x37000000, 0x37010000, 0x37020000, 0x37030000, 0x37040000, 0x37050000, 0x37060000, 0x37070000, 0x37080000, 0x37090000, 0x370A0000, 0x370B0000, 0x370C0000, 0x370D0000, 0x370E0000, 0x370F0000, + 0x37100000, 0x37110000, 0x37120000, 0x37130000, 0x37140000, 0x37150000, 0x37160000, 0x37170000, 0x37180000, 0x37190000, 0x371A0000, 0x371B0000, 0x371C0000, 0x371D0000, 0x371E0000, 0x371F0000, + 0x37200000, 0x37210000, 0x37220000, 0x37230000, 0x37240000, 0x37250000, 0x37260000, 0x37270000, 0x37280000, 0x37290000, 0x372A0000, 0x372B0000, 0x372C0000, 0x372D0000, 0x372E0000, 0x372F0000, + 0x37300000, 0x37310000, 0x37320000, 0x37330000, 0x37340000, 0x37350000, 0x37360000, 0x37370000, 0x37380000, 0x37390000, 0x373A0000, 0x373B0000, 0x373C0000, 0x373D0000, 0x373E0000, 0x373F0000, + 0x37400000, 0x37410000, 0x37420000, 0x37430000, 0x37440000, 0x37450000, 0x37460000, 0x37470000, 0x37480000, 0x37490000, 0x374A0000, 0x374B0000, 0x374C0000, 0x374D0000, 0x374E0000, 0x374F0000, + 0x37500000, 0x37510000, 0x37520000, 0x37530000, 0x37540000, 0x37550000, 0x37560000, 0x37570000, 0x37580000, 0x37590000, 0x375A0000, 0x375B0000, 0x375C0000, 0x375D0000, 0x375E0000, 0x375F0000, + 0x37600000, 0x37610000, 0x37620000, 0x37630000, 0x37640000, 0x37650000, 0x37660000, 0x37670000, 0x37680000, 0x37690000, 0x376A0000, 0x376B0000, 0x376C0000, 0x376D0000, 0x376E0000, 0x376F0000, + 0x37700000, 0x37710000, 0x37720000, 0x37730000, 0x37740000, 0x37750000, 0x37760000, 0x37770000, 0x37780000, 0x37790000, 0x377A0000, 0x377B0000, 0x377C0000, 0x377D0000, 0x377E0000, 0x377F0000, + 0x37800000, 0x37808000, 0x37810000, 0x37818000, 0x37820000, 0x37828000, 0x37830000, 0x37838000, 0x37840000, 0x37848000, 0x37850000, 0x37858000, 0x37860000, 0x37868000, 0x37870000, 0x37878000, + 0x37880000, 0x37888000, 0x37890000, 0x37898000, 0x378A0000, 0x378A8000, 0x378B0000, 0x378B8000, 0x378C0000, 0x378C8000, 0x378D0000, 0x378D8000, 0x378E0000, 0x378E8000, 0x378F0000, 0x378F8000, + 0x37900000, 0x37908000, 0x37910000, 0x37918000, 0x37920000, 0x37928000, 0x37930000, 0x37938000, 0x37940000, 0x37948000, 0x37950000, 0x37958000, 0x37960000, 0x37968000, 0x37970000, 0x37978000, + 0x37980000, 0x37988000, 0x37990000, 0x37998000, 0x379A0000, 0x379A8000, 0x379B0000, 0x379B8000, 0x379C0000, 0x379C8000, 0x379D0000, 0x379D8000, 0x379E0000, 0x379E8000, 0x379F0000, 0x379F8000, + 0x37A00000, 0x37A08000, 0x37A10000, 0x37A18000, 0x37A20000, 0x37A28000, 0x37A30000, 0x37A38000, 0x37A40000, 0x37A48000, 0x37A50000, 0x37A58000, 0x37A60000, 0x37A68000, 0x37A70000, 0x37A78000, + 0x37A80000, 0x37A88000, 0x37A90000, 0x37A98000, 0x37AA0000, 0x37AA8000, 0x37AB0000, 0x37AB8000, 0x37AC0000, 0x37AC8000, 0x37AD0000, 0x37AD8000, 0x37AE0000, 0x37AE8000, 0x37AF0000, 0x37AF8000, + 0x37B00000, 0x37B08000, 0x37B10000, 0x37B18000, 0x37B20000, 0x37B28000, 0x37B30000, 0x37B38000, 0x37B40000, 0x37B48000, 0x37B50000, 0x37B58000, 0x37B60000, 0x37B68000, 0x37B70000, 0x37B78000, + 0x37B80000, 0x37B88000, 0x37B90000, 0x37B98000, 0x37BA0000, 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0x3833E000, + 0x38340000, 0x38342000, 0x38344000, 0x38346000, 0x38348000, 0x3834A000, 0x3834C000, 0x3834E000, 0x38350000, 0x38352000, 0x38354000, 0x38356000, 0x38358000, 0x3835A000, 0x3835C000, 0x3835E000, + 0x38360000, 0x38362000, 0x38364000, 0x38366000, 0x38368000, 0x3836A000, 0x3836C000, 0x3836E000, 0x38370000, 0x38372000, 0x38374000, 0x38376000, 0x38378000, 0x3837A000, 0x3837C000, 0x3837E000, + 0x38380000, 0x38382000, 0x38384000, 0x38386000, 0x38388000, 0x3838A000, 0x3838C000, 0x3838E000, 0x38390000, 0x38392000, 0x38394000, 0x38396000, 0x38398000, 0x3839A000, 0x3839C000, 0x3839E000, + 0x383A0000, 0x383A2000, 0x383A4000, 0x383A6000, 0x383A8000, 0x383AA000, 0x383AC000, 0x383AE000, 0x383B0000, 0x383B2000, 0x383B4000, 0x383B6000, 0x383B8000, 0x383BA000, 0x383BC000, 0x383BE000, + 0x383C0000, 0x383C2000, 0x383C4000, 0x383C6000, 0x383C8000, 0x383CA000, 0x383CC000, 0x383CE000, 0x383D0000, 0x383D2000, 0x383D4000, 0x383D6000, 0x383D8000, 0x383DA000, 0x383DC000, 0x383DE000, + 0x383E0000, 0x383E2000, 0x383E4000, 0x383E6000, 0x383E8000, 0x383EA000, 0x383EC000, 0x383EE000, 0x383F0000, 0x383F2000, 0x383F4000, 0x383F6000, 0x383F8000, 0x383FA000, 0x383FC000, 0x383FE000, + 0x38400000, 0x38402000, 0x38404000, 0x38406000, 0x38408000, 0x3840A000, 0x3840C000, 0x3840E000, 0x38410000, 0x38412000, 0x38414000, 0x38416000, 0x38418000, 0x3841A000, 0x3841C000, 0x3841E000, + 0x38420000, 0x38422000, 0x38424000, 0x38426000, 0x38428000, 0x3842A000, 0x3842C000, 0x3842E000, 0x38430000, 0x38432000, 0x38434000, 0x38436000, 0x38438000, 0x3843A000, 0x3843C000, 0x3843E000, + 0x38440000, 0x38442000, 0x38444000, 0x38446000, 0x38448000, 0x3844A000, 0x3844C000, 0x3844E000, 0x38450000, 0x38452000, 0x38454000, 0x38456000, 0x38458000, 0x3845A000, 0x3845C000, 0x3845E000, + 0x38460000, 0x38462000, 0x38464000, 0x38466000, 0x38468000, 0x3846A000, 0x3846C000, 0x3846E000, 0x38470000, 0x38472000, 0x38474000, 0x38476000, 0x38478000, 0x3847A000, 0x3847C000, 0x3847E000, + 0x38480000, 0x38482000, 0x38484000, 0x38486000, 0x38488000, 0x3848A000, 0x3848C000, 0x3848E000, 0x38490000, 0x38492000, 0x38494000, 0x38496000, 0x38498000, 0x3849A000, 0x3849C000, 0x3849E000, + 0x384A0000, 0x384A2000, 0x384A4000, 0x384A6000, 0x384A8000, 0x384AA000, 0x384AC000, 0x384AE000, 0x384B0000, 0x384B2000, 0x384B4000, 0x384B6000, 0x384B8000, 0x384BA000, 0x384BC000, 0x384BE000, + 0x384C0000, 0x384C2000, 0x384C4000, 0x384C6000, 0x384C8000, 0x384CA000, 0x384CC000, 0x384CE000, 0x384D0000, 0x384D2000, 0x384D4000, 0x384D6000, 0x384D8000, 0x384DA000, 0x384DC000, 0x384DE000, + 0x384E0000, 0x384E2000, 0x384E4000, 0x384E6000, 0x384E8000, 0x384EA000, 0x384EC000, 0x384EE000, 0x384F0000, 0x384F2000, 0x384F4000, 0x384F6000, 0x384F8000, 0x384FA000, 0x384FC000, 0x384FE000, + 0x38500000, 0x38502000, 0x38504000, 0x38506000, 0x38508000, 0x3850A000, 0x3850C000, 0x3850E000, 0x38510000, 0x38512000, 0x38514000, 0x38516000, 0x38518000, 0x3851A000, 0x3851C000, 0x3851E000, + 0x38520000, 0x38522000, 0x38524000, 0x38526000, 0x38528000, 0x3852A000, 0x3852C000, 0x3852E000, 0x38530000, 0x38532000, 0x38534000, 0x38536000, 0x38538000, 0x3853A000, 0x3853C000, 0x3853E000, + 0x38540000, 0x38542000, 0x38544000, 0x38546000, 0x38548000, 0x3854A000, 0x3854C000, 0x3854E000, 0x38550000, 0x38552000, 0x38554000, 0x38556000, 0x38558000, 0x3855A000, 0x3855C000, 0x3855E000, + 0x38560000, 0x38562000, 0x38564000, 0x38566000, 0x38568000, 0x3856A000, 0x3856C000, 0x3856E000, 0x38570000, 0x38572000, 0x38574000, 0x38576000, 0x38578000, 0x3857A000, 0x3857C000, 0x3857E000, + 0x38580000, 0x38582000, 0x38584000, 0x38586000, 0x38588000, 0x3858A000, 0x3858C000, 0x3858E000, 0x38590000, 0x38592000, 0x38594000, 0x38596000, 0x38598000, 0x3859A000, 0x3859C000, 0x3859E000, + 0x385A0000, 0x385A2000, 0x385A4000, 0x385A6000, 0x385A8000, 0x385AA000, 0x385AC000, 0x385AE000, 0x385B0000, 0x385B2000, 0x385B4000, 0x385B6000, 0x385B8000, 0x385BA000, 0x385BC000, 0x385BE000, + 0x385C0000, 0x385C2000, 0x385C4000, 0x385C6000, 0x385C8000, 0x385CA000, 0x385CC000, 0x385CE000, 0x385D0000, 0x385D2000, 0x385D4000, 0x385D6000, 0x385D8000, 0x385DA000, 0x385DC000, 0x385DE000, + 0x385E0000, 0x385E2000, 0x385E4000, 0x385E6000, 0x385E8000, 0x385EA000, 0x385EC000, 0x385EE000, 0x385F0000, 0x385F2000, 0x385F4000, 0x385F6000, 0x385F8000, 0x385FA000, 0x385FC000, 0x385FE000, + 0x38600000, 0x38602000, 0x38604000, 0x38606000, 0x38608000, 0x3860A000, 0x3860C000, 0x3860E000, 0x38610000, 0x38612000, 0x38614000, 0x38616000, 0x38618000, 0x3861A000, 0x3861C000, 0x3861E000, + 0x38620000, 0x38622000, 0x38624000, 0x38626000, 0x38628000, 0x3862A000, 0x3862C000, 0x3862E000, 0x38630000, 0x38632000, 0x38634000, 0x38636000, 0x38638000, 0x3863A000, 0x3863C000, 0x3863E000, + 0x38640000, 0x38642000, 0x38644000, 0x38646000, 0x38648000, 0x3864A000, 0x3864C000, 0x3864E000, 0x38650000, 0x38652000, 0x38654000, 0x38656000, 0x38658000, 0x3865A000, 0x3865C000, 0x3865E000, + 0x38660000, 0x38662000, 0x38664000, 0x38666000, 0x38668000, 0x3866A000, 0x3866C000, 0x3866E000, 0x38670000, 0x38672000, 0x38674000, 0x38676000, 0x38678000, 0x3867A000, 0x3867C000, 0x3867E000, + 0x38680000, 0x38682000, 0x38684000, 0x38686000, 0x38688000, 0x3868A000, 0x3868C000, 0x3868E000, 0x38690000, 0x38692000, 0x38694000, 0x38696000, 0x38698000, 0x3869A000, 0x3869C000, 0x3869E000, + 0x386A0000, 0x386A2000, 0x386A4000, 0x386A6000, 0x386A8000, 0x386AA000, 0x386AC000, 0x386AE000, 0x386B0000, 0x386B2000, 0x386B4000, 0x386B6000, 0x386B8000, 0x386BA000, 0x386BC000, 0x386BE000, + 0x386C0000, 0x386C2000, 0x386C4000, 0x386C6000, 0x386C8000, 0x386CA000, 0x386CC000, 0x386CE000, 0x386D0000, 0x386D2000, 0x386D4000, 0x386D6000, 0x386D8000, 0x386DA000, 0x386DC000, 0x386DE000, + 0x386E0000, 0x386E2000, 0x386E4000, 0x386E6000, 0x386E8000, 0x386EA000, 0x386EC000, 0x386EE000, 0x386F0000, 0x386F2000, 0x386F4000, 0x386F6000, 0x386F8000, 0x386FA000, 0x386FC000, 0x386FE000, + 0x38700000, 0x38702000, 0x38704000, 0x38706000, 0x38708000, 0x3870A000, 0x3870C000, 0x3870E000, 0x38710000, 0x38712000, 0x38714000, 0x38716000, 0x38718000, 0x3871A000, 0x3871C000, 0x3871E000, + 0x38720000, 0x38722000, 0x38724000, 0x38726000, 0x38728000, 0x3872A000, 0x3872C000, 0x3872E000, 0x38730000, 0x38732000, 0x38734000, 0x38736000, 0x38738000, 0x3873A000, 0x3873C000, 0x3873E000, + 0x38740000, 0x38742000, 0x38744000, 0x38746000, 0x38748000, 0x3874A000, 0x3874C000, 0x3874E000, 0x38750000, 0x38752000, 0x38754000, 0x38756000, 0x38758000, 0x3875A000, 0x3875C000, 0x3875E000, + 0x38760000, 0x38762000, 0x38764000, 0x38766000, 0x38768000, 0x3876A000, 0x3876C000, 0x3876E000, 0x38770000, 0x38772000, 0x38774000, 0x38776000, 0x38778000, 0x3877A000, 0x3877C000, 0x3877E000, + 0x38780000, 0x38782000, 0x38784000, 0x38786000, 0x38788000, 0x3878A000, 0x3878C000, 0x3878E000, 0x38790000, 0x38792000, 0x38794000, 0x38796000, 0x38798000, 0x3879A000, 0x3879C000, 0x3879E000, + 0x387A0000, 0x387A2000, 0x387A4000, 0x387A6000, 0x387A8000, 0x387AA000, 0x387AC000, 0x387AE000, 0x387B0000, 0x387B2000, 0x387B4000, 0x387B6000, 0x387B8000, 0x387BA000, 0x387BC000, 0x387BE000, + 0x387C0000, 0x387C2000, 0x387C4000, 0x387C6000, 0x387C8000, 0x387CA000, 0x387CC000, 0x387CE000, 0x387D0000, 0x387D2000, 0x387D4000, 0x387D6000, 0x387D8000, 0x387DA000, 0x387DC000, 0x387DE000, + 0x387E0000, 0x387E2000, 0x387E4000, 0x387E6000, 0x387E8000, 0x387EA000, 0x387EC000, 0x387EE000, 0x387F0000, 0x387F2000, 0x387F4000, 0x387F6000, 0x387F8000, 0x387FA000, 0x387FC000, 0x387FE000 }; + static const bits::type exponent_table[64] = { + 0x00000000, 0x00800000, 0x01000000, 0x01800000, 0x02000000, 0x02800000, 0x03000000, 0x03800000, 0x04000000, 0x04800000, 0x05000000, 0x05800000, 0x06000000, 0x06800000, 0x07000000, 0x07800000, + 0x08000000, 0x08800000, 0x09000000, 0x09800000, 0x0A000000, 0x0A800000, 0x0B000000, 0x0B800000, 0x0C000000, 0x0C800000, 0x0D000000, 0x0D800000, 0x0E000000, 0x0E800000, 0x0F000000, 0x47800000, + 0x80000000, 0x80800000, 0x81000000, 0x81800000, 0x82000000, 0x82800000, 0x83000000, 0x83800000, 0x84000000, 0x84800000, 0x85000000, 0x85800000, 0x86000000, 0x86800000, 0x87000000, 0x87800000, + 0x88000000, 0x88800000, 0x89000000, 0x89800000, 0x8A000000, 0x8A800000, 0x8B000000, 0x8B800000, 0x8C000000, 0x8C800000, 0x8D000000, 0x8D800000, 0x8E000000, 0x8E800000, 0x8F000000, 0xC7800000 }; + static const unsigned short offset_table[64] = { + 0, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, + 0, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024 }; + bits::type fbits = mantissa_table[offset_table[value>>10]+(value&0x3FF)] + exponent_table[value>>10]; + #endif + float out; + std::memcpy(&out, &fbits, sizeof(float)); + return out; + #endif + } + + /// Convert half-precision to IEEE double-precision. + /// \param value half-precision value to convert + /// \return double-precision value + inline double half2float_impl(unsigned int value, double, true_type) + { + #if HALF_ENABLE_F16C_INTRINSICS + return _mm_cvtsd_f64(_mm_cvtps_pd(_mm_cvtph_ps(_mm_cvtsi32_si128(value)))); + #else + uint32 hi = static_cast(value&0x8000) << 16; + unsigned int abs = value & 0x7FFF; + if(abs) + { + hi |= 0x3F000000 << static_cast(abs>=0x7C00); + for(; abs<0x400; abs<<=1,hi-=0x100000) ; + hi += static_cast(abs) << 10; + } + bits::type dbits = static_cast::type>(hi) << 32; + double out; + std::memcpy(&out, &dbits, sizeof(double)); + return out; + #endif + } + + /// Convert half-precision to non-IEEE floating-point. + /// \tparam T type to convert to (builtin integer type) + /// \param value half-precision value to convert + /// \return floating-point value + template T half2float_impl(unsigned int value, T, ...) + { + T out; + unsigned int abs = value & 0x7FFF; + if(abs > 0x7C00) + out = (std::numeric_limits::has_signaling_NaN && !(abs&0x200)) ? std::numeric_limits::signaling_NaN() : + std::numeric_limits::has_quiet_NaN ? std::numeric_limits::quiet_NaN() : T(); + else if(abs == 0x7C00) + out = std::numeric_limits::has_infinity ? std::numeric_limits::infinity() : std::numeric_limits::max(); + else if(abs > 0x3FF) + out = std::ldexp(static_cast((abs&0x3FF)|0x400), (abs>>10)-25); + else + out = std::ldexp(static_cast(abs), -24); + return (value&0x8000) ? -out : out; + } + + /// Convert half-precision to floating-point. + /// \tparam T type to convert to (builtin integer type) + /// \param value half-precision value to convert + /// \return floating-point value + template T half2float(unsigned int value) + { + return half2float_impl(value, T(), bool_type::is_iec559&&sizeof(typename bits::type)==sizeof(T)>()); + } + + /// Convert half-precision floating-point to integer. + /// \tparam R rounding mode to use + /// \tparam E `true` for round to even, `false` for round away from zero + /// \tparam I `true` to raise INEXACT exception (if inexact), `false` to never raise it + /// \tparam T type to convert to (buitlin integer type with at least 16 bits precision, excluding any implicit sign bits) + /// \param value half-precision value to convert + /// \return rounded integer value + /// \exception FE_INVALID if value is not representable in type \a T + /// \exception FE_INEXACT if value had to be rounded and \a I is `true` + template T half2int(unsigned int value) + { + unsigned int abs = value & 0x7FFF; + if(abs >= 0x7C00) + { + raise(FE_INVALID); + return (value&0x8000) ? std::numeric_limits::min() : std::numeric_limits::max(); + } + if(abs < 0x3800) + { + raise(FE_INEXACT, I); + return (R==std::round_toward_infinity) ? T(~(value>>15)&(abs!=0)) : + (R==std::round_toward_neg_infinity) ? -T(value>0x8000) : + T(); + } + int exp = 25 - (abs>>10); + unsigned int m = (value&0x3FF) | 0x400; + int32 i = static_cast((exp<=0) ? (m<<-exp) : ((m+( + (R==std::round_to_nearest) ? ((1<<(exp-1))-(~(m>>exp)&E)) : + (R==std::round_toward_infinity) ? (((1<>15)-1)) : + (R==std::round_toward_neg_infinity) ? (((1<>15)) : 0))>>exp)); + if((!std::numeric_limits::is_signed && (value&0x8000)) || (std::numeric_limits::digits<16 && + ((value&0x8000) ? (-i::min()) : (i>std::numeric_limits::max())))) + raise(FE_INVALID); + else if(I && exp > 0 && (m&((1<((value&0x8000) ? -i : i); + } + + /// \} + /// \name Mathematics + /// \{ + + /// upper part of 64-bit multiplication. + /// \tparam R rounding mode to use + /// \param x first factor + /// \param y second factor + /// \return upper 32 bit of \a x * \a y + template uint32 mulhi(uint32 x, uint32 y) + { + uint32 xy = (x>>16) * (y&0xFFFF), yx = (x&0xFFFF) * (y>>16), c = (xy&0xFFFF) + (yx&0xFFFF) + (((x&0xFFFF)*(y&0xFFFF))>>16); + return (x>>16)*(y>>16) + (xy>>16) + (yx>>16) + (c>>16) + + ((R==std::round_to_nearest) ? ((c>>15)&1) : (R==std::round_toward_infinity) ? ((c&0xFFFF)!=0) : 0); + } + + /// 64-bit multiplication. + /// \param x first factor + /// \param y second factor + /// \return upper 32 bit of \a x * \a y rounded to nearest + inline uint32 multiply64(uint32 x, uint32 y) + { + #if HALF_ENABLE_CPP11_LONG_LONG + return static_cast((static_cast(x)*static_cast(y)+0x80000000)>>32); + #else + return mulhi(x, y); + #endif + } + + /// 64-bit division. + /// \param x upper 32 bit of dividend + /// \param y divisor + /// \param s variable to store sticky bit for rounding + /// \return (\a x << 32) / \a y + inline uint32 divide64(uint32 x, uint32 y, int &s) + { + #if HALF_ENABLE_CPP11_LONG_LONG + unsigned long long xx = static_cast(x) << 32; + return s = (xx%y!=0), static_cast(xx/y); + #else + y >>= 1; + uint32 rem = x, div = 0; + for(unsigned int i=0; i<32; ++i) + { + div <<= 1; + if(rem >= y) + { + rem -= y; + div |= 1; + } + rem <<= 1; + } + return s = rem > 1, div; + #endif + } + + /// Half precision positive modulus. + /// \tparam Q `true` to compute full quotient, `false` else + /// \tparam R `true` to compute signed remainder, `false` for positive remainder + /// \param x first operand as positive finite half-precision value + /// \param y second operand as positive finite half-precision value + /// \param quo adress to store quotient at, `nullptr` if \a Q `false` + /// \return modulus of \a x / \a y + template unsigned int mod(unsigned int x, unsigned int y, int *quo = NULL) + { + unsigned int q = 0; + if(x > y) + { + int absx = x, absy = y, expx = 0, expy = 0; + for(; absx<0x400; absx<<=1,--expx) ; + for(; absy<0x400; absy<<=1,--expy) ; + expx += absx >> 10; + expy += absy >> 10; + int mx = (absx&0x3FF) | 0x400, my = (absy&0x3FF) | 0x400; + for(int d=expx-expy; d; --d) + { + if(!Q && mx == my) + return 0; + if(mx >= my) + { + mx -= my; + q += Q; + } + mx <<= 1; + q <<= static_cast(Q); + } + if(!Q && mx == my) + return 0; + if(mx >= my) + { + mx -= my; + ++q; + } + if(Q) + { + q &= (1<<(std::numeric_limits::digits-1)) - 1; + if(!mx) + return *quo = q, 0; + } + for(; mx<0x400; mx<<=1,--expy) ; + x = (expy>0) ? ((expy<<10)|(mx&0x3FF)) : (mx>>(1-expy)); + } + if(R) + { + unsigned int a, b; + if(y < 0x800) + { + a = (x<0x400) ? (x<<1) : (x+0x400); + b = y; + } + else + { + a = x; + b = y - 0x400; + } + if(a > b || (a == b && (q&1))) + { + int exp = (y>>10) + (y<=0x3FF), d = exp - (x>>10) - (x<=0x3FF); + int m = (((y&0x3FF)|((y>0x3FF)<<10))<<1) - (((x&0x3FF)|((x>0x3FF)<<10))<<(1-d)); + for(; m<0x800 && exp>1; m<<=1,--exp) ; + x = 0x8000 + ((exp-1)<<10) + (m>>1); + q += Q; + } + } + if(Q) + *quo = q; + return x; + } + + /// Fixed point square root. + /// \tparam F number of fractional bits + /// \param r radicand in Q1.F fixed point format + /// \param exp exponent + /// \return square root as Q1.F/2 + template uint32 sqrt(uint32 &r, int &exp) + { + int i = exp & 1; + r <<= i; + exp = (exp-i) / 2; + uint32 m = 0; + for(uint32 bit=static_cast(1)<>=2) + { + if(r < m+bit) + m >>= 1; + else + { + r -= m + bit; + m = (m>>1) + bit; + } + } + return m; + } + + /// Fixed point binary exponential. + /// This uses the BKM algorithm in E-mode. + /// \param m exponent in [0,1) as Q0.31 + /// \param n number of iterations (at most 32) + /// \return 2 ^ \a m as Q1.31 + inline uint32 exp2(uint32 m, unsigned int n = 32) + { + static const uint32 logs[] = { + 0x80000000, 0x4AE00D1D, 0x2934F098, 0x15C01A3A, 0x0B31FB7D, 0x05AEB4DD, 0x02DCF2D1, 0x016FE50B, + 0x00B84E23, 0x005C3E10, 0x002E24CA, 0x001713D6, 0x000B8A47, 0x0005C53B, 0x0002E2A3, 0x00017153, + 0x0000B8AA, 0x00005C55, 0x00002E2B, 0x00001715, 0x00000B8B, 0x000005C5, 0x000002E3, 0x00000171, + 0x000000B9, 0x0000005C, 0x0000002E, 0x00000017, 0x0000000C, 0x00000006, 0x00000003, 0x00000001 }; + if(!m) + return 0x80000000; + uint32 mx = 0x80000000, my = 0; + for(unsigned int i=1; i> i; + } + } + return mx; + } + + /// Fixed point binary logarithm. + /// This uses the BKM algorithm in L-mode. + /// \param m mantissa in [1,2) as Q1.30 + /// \param n number of iterations (at most 32) + /// \return log2(\a m) as Q0.31 + inline uint32 log2(uint32 m, unsigned int n = 32) + { + static const uint32 logs[] = { + 0x80000000, 0x4AE00D1D, 0x2934F098, 0x15C01A3A, 0x0B31FB7D, 0x05AEB4DD, 0x02DCF2D1, 0x016FE50B, + 0x00B84E23, 0x005C3E10, 0x002E24CA, 0x001713D6, 0x000B8A47, 0x0005C53B, 0x0002E2A3, 0x00017153, + 0x0000B8AA, 0x00005C55, 0x00002E2B, 0x00001715, 0x00000B8B, 0x000005C5, 0x000002E3, 0x00000171, + 0x000000B9, 0x0000005C, 0x0000002E, 0x00000017, 0x0000000C, 0x00000006, 0x00000003, 0x00000001 }; + if(m == 0x40000000) + return 0; + uint32 mx = 0x40000000, my = 0; + for(unsigned int i=1; i>i); + if(mz <= m) + { + mx = mz; + my += logs[i]; + } + } + return my; + } + + /// Fixed point sine and cosine. + /// This uses the CORDIC algorithm in rotation mode. + /// \param mz angle in [-pi/2,pi/2] as Q1.30 + /// \param n number of iterations (at most 31) + /// \return sine and cosine of \a mz as Q1.30 + inline std::pair sincos(uint32 mz, unsigned int n = 31) + { + static const uint32 angles[] = { + 0x3243F6A9, 0x1DAC6705, 0x0FADBAFD, 0x07F56EA7, 0x03FEAB77, 0x01FFD55C, 0x00FFFAAB, 0x007FFF55, + 0x003FFFEB, 0x001FFFFD, 0x00100000, 0x00080000, 0x00040000, 0x00020000, 0x00010000, 0x00008000, + 0x00004000, 0x00002000, 0x00001000, 0x00000800, 0x00000400, 0x00000200, 0x00000100, 0x00000080, + 0x00000040, 0x00000020, 0x00000010, 0x00000008, 0x00000004, 0x00000002, 0x00000001 }; + uint32 mx = 0x26DD3B6A, my = 0; + for(unsigned int i=0; i0x3FF)<<10); + int exp = (abs>>10) + (abs<=0x3FF) - 15; + if(abs < 0x3A48) + return k = 0, m << (exp+20); + #if HALF_ENABLE_CPP11_LONG_LONG + unsigned long long y = m * 0xA2F9836E4E442, mask = (1ULL<<(62-exp)) - 1, yi = (y+(mask>>1)) & ~mask, f = y - yi; + uint32 sign = -static_cast(f>>63); + k = static_cast(yi>>(62-exp)); + return (multiply64(static_cast((sign ? -f : f)>>(31-exp)), 0xC90FDAA2)^sign) - sign; + #else + uint32 yh = m*0xA2F98 + mulhi(m, 0x36E4E442), yl = (m*0x36E4E442) & 0xFFFFFFFF; + uint32 mask = (static_cast(1)<<(30-exp)) - 1, yi = (yh+(mask>>1)) & ~mask, sign = -static_cast(yi>yh); + k = static_cast(yi>>(30-exp)); + uint32 fh = (yh^sign) + (yi^~sign) - ~sign, fl = (yl^sign) - sign; + return (multiply64((exp>-1) ? (((fh<<(1+exp))&0xFFFFFFFF)|((fl&0xFFFFFFFF)>>(31-exp))) : fh, 0xC90FDAA2)^sign) - sign; + #endif + } + + /// Get arguments for atan2 function. + /// \param abs half-precision floating-point value + /// \return \a abs and sqrt(1 - \a abs^2) as Q0.30 + inline std::pair atan2_args(unsigned int abs) + { + int exp = -15; + for(; abs<0x400; abs<<=1,--exp) ; + exp += abs >> 10; + uint32 my = ((abs&0x3FF)|0x400) << 5, r = my * my; + int rexp = 2 * exp; + r = 0x40000000 - ((rexp>-31) ? ((r>>-rexp)|((r&((static_cast(1)<<-rexp)-1))!=0)) : 1); + for(rexp=0; r<0x40000000; r<<=1,--rexp) ; + uint32 mx = sqrt<30>(r, rexp); + int d = exp - rexp; + if(d < 0) + return std::make_pair((d<-14) ? ((my>>(-d-14))+((my>>(-d-15))&1)) : (my<<(14+d)), (mx<<14)+(r<<13)/mx); + if(d > 0) + return std::make_pair(my<<14, (d>14) ? ((mx>>(d-14))+((mx>>(d-15))&1)) : ((d==14) ? mx : ((mx<<(14-d))+(r<<(13-d))/mx))); + return std::make_pair(my<<13, (mx<<13)+(r<<12)/mx); + } + + /// Get exponentials for hyperbolic computation + /// \param abs half-precision floating-point value + /// \param exp variable to take unbiased exponent of larger result + /// \param n number of BKM iterations (at most 32) + /// \return exp(abs) and exp(-\a abs) as Q1.31 with same exponent + inline std::pair hyperbolic_args(unsigned int abs, int &exp, unsigned int n = 32) + { + uint32 mx = detail::multiply64(static_cast((abs&0x3FF)+((abs>0x3FF)<<10))<<21, 0xB8AA3B29), my; + int e = (abs>>10) + (abs<=0x3FF); + if(e < 14) + { + exp = 0; + mx >>= 14 - e; + } + else + { + exp = mx >> (45-e); + mx = (mx<<(e-14)) & 0x7FFFFFFF; + } + mx = exp2(mx, n); + int d = exp << 1, s; + if(mx > 0x80000000) + { + my = divide64(0x80000000, mx, s); + my |= s; + ++d; + } + else + my = mx; + return std::make_pair(mx, (d<31) ? ((my>>d)|((my&((static_cast(1)< unsigned int exp2_post(uint32 m, int exp, bool esign, unsigned int sign = 0) + { + int s = 0; + if(esign) + { + if(m > 0x80000000) + { + m = divide64(0x80000000, m, s); + ++exp; + } + if(exp > 25) + return underflow(sign); + else if(exp == 25) + return rounded(sign, 1, (m&0x7FFFFFFF)!=0); + exp = -exp; + } + else if(exp > 15) + return overflow(sign); + return fixed2half(m, exp+14, sign, s); + } + + /// Postprocessing for binary logarithm. + /// \tparam R rounding mode to use + /// \tparam L logarithm for base transformation as Q1.31 + /// \param m fractional part of logarithm as Q0.31 + /// \param ilog signed integer part of logarithm + /// \param exp biased exponent of result + /// \param sign sign bit of result + /// \return value base-transformed and converted to half-precision + /// \exception FE_OVERFLOW on overflows + /// \exception FE_UNDERFLOW on underflows + /// \exception FE_INEXACT if no other exception occurred + template unsigned int log2_post(uint32 m, int ilog, int exp, unsigned int sign = 0) + { + uint32 msign = sign_mask(ilog); + m = (((static_cast(ilog)<<27)+(m>>4))^msign) - msign; + if(!m) + return 0; + for(; m<0x80000000; m<<=1,--exp) ; + int i = m >= L, s; + exp += i; + m >>= 1 + i; + sign ^= msign & 0x8000; + if(exp < -11) + return underflow(sign); + m = divide64(m, L, s); + return fixed2half(m, exp, sign, 1); + } + + /// Hypotenuse square root and postprocessing. + /// \tparam R rounding mode to use + /// \param r mantissa as Q2.30 + /// \param exp unbiased exponent + /// \return square root converted to half-precision + /// \exception FE_OVERFLOW on overflows + /// \exception FE_UNDERFLOW on underflows + /// \exception FE_INEXACT if value had to be rounded + template unsigned int hypot_post(uint32 r, int exp) + { + int i = r >> 31; + if((exp+=i) > 46) + return overflow(); + if(exp < -34) + return underflow(); + r = (r>>i) | (r&i); + uint32 m = sqrt<30>(r, exp+=15); + return fixed2half(m, exp-1, 0, r!=0); + } + + /// Division and postprocessing for tangents. + /// \tparam R rounding mode to use + /// \param my dividend as Q1.31 + /// \param mx divisor as Q1.31 + /// \param exp biased exponent of result + /// \param sign sign bit of result + /// \return quotient converted to half-precision + /// \exception FE_OVERFLOW on overflows + /// \exception FE_UNDERFLOW on underflows + /// \exception FE_INEXACT if no other exception occurred + template unsigned int tangent_post(uint32 my, uint32 mx, int exp, unsigned int sign = 0) + { + int i = my >= mx, s; + exp += i; + if(exp > 29) + return overflow(sign); + if(exp < -11) + return underflow(sign); + uint32 m = divide64(my>>(i+1), mx, s); + return fixed2half(m, exp, sign, s); + } + + /// Area function and postprocessing. + /// This computes the value directly in Q2.30 using the representation `asinh|acosh(x) = log(x+sqrt(x^2+|-1))`. + /// \tparam R rounding mode to use + /// \tparam S `true` for asinh, `false` for acosh + /// \param arg half-precision argument + /// \return asinh|acosh(\a arg) converted to half-precision + /// \exception FE_OVERFLOW on overflows + /// \exception FE_UNDERFLOW on underflows + /// \exception FE_INEXACT if no other exception occurred + template unsigned int area(unsigned int arg) + { + int abs = arg & 0x7FFF, expx = (abs>>10) + (abs<=0x3FF) - 15, expy = -15, ilog, i; + uint32 mx = static_cast((abs&0x3FF)|((abs>0x3FF)<<10)) << 20, my, r; + for(; abs<0x400; abs<<=1,--expy) ; + expy += abs >> 10; + r = ((abs&0x3FF)|0x400) << 5; + r *= r; + i = r >> 31; + expy = 2*expy + i; + r >>= i; + if(S) + { + if(expy < 0) + { + r = 0x40000000 + ((expy>-30) ? ((r>>-expy)|((r&((static_cast(1)<<-expy)-1))!=0)) : 1); + expy = 0; + } + else + { + r += 0x40000000 >> expy; + i = r >> 31; + r = (r>>i) | (r&i); + expy += i; + } + } + else + { + r -= 0x40000000 >> expy; + for(; r<0x40000000; r<<=1,--expy) ; + } + my = sqrt<30>(r, expy); + my = (my<<15) + (r<<14)/my; + if(S) + { + mx >>= expy - expx; + ilog = expy; + } + else + { + my >>= expx - expy; + ilog = expx; + } + my += mx; + i = my >> 31; + static const int G = S && (R==std::round_to_nearest); + return log2_post(log2(my>>i, 26+S+G)+(G<<3), ilog+i, 17, arg&(static_cast(S)<<15)); + } + + /// Class for 1.31 unsigned floating-point computation + struct f31 + { + /// Constructor. + /// \param mant mantissa as 1.31 + /// \param e exponent + HALF_CONSTEXPR f31(uint32 mant, int e) : m(mant), exp(e) {} + + /// Constructor. + /// \param abs unsigned half-precision value + f31(unsigned int abs) : exp(-15) + { + for(; abs<0x400; abs<<=1,--exp) ; + m = static_cast((abs&0x3FF)|0x400) << 21; + exp += (abs>>10); + } + + /// Addition operator. + /// \param a first operand + /// \param b second operand + /// \return \a a + \a b + friend f31 operator+(f31 a, f31 b) + { + if(b.exp > a.exp) + std::swap(a, b); + int d = a.exp - b.exp; + uint32 m = a.m + ((d<32) ? (b.m>>d) : 0); + int i = (m&0xFFFFFFFF) < a.m; + return f31(((m+i)>>i)|0x80000000, a.exp+i); + } + + /// Subtraction operator. + /// \param a first operand + /// \param b second operand + /// \return \a a - \a b + friend f31 operator-(f31 a, f31 b) + { + int d = a.exp - b.exp, exp = a.exp; + uint32 m = a.m - ((d<32) ? (b.m>>d) : 0); + if(!m) + return f31(0, -32); + for(; m<0x80000000; m<<=1,--exp) ; + return f31(m, exp); + } + + /// Multiplication operator. + /// \param a first operand + /// \param b second operand + /// \return \a a * \a b + friend f31 operator*(f31 a, f31 b) + { + uint32 m = multiply64(a.m, b.m); + int i = m >> 31; + return f31(m<<(1-i), a.exp + b.exp + i); + } + + /// Division operator. + /// \param a first operand + /// \param b second operand + /// \return \a a / \a b + friend f31 operator/(f31 a, f31 b) + { + int i = a.m >= b.m, s; + uint32 m = divide64((a.m+i)>>i, b.m, s); + return f31(m, a.exp - b.exp + i - 1); + } + + uint32 m; ///< mantissa as 1.31. + int exp; ///< exponent. + }; + + /// Error function and postprocessing. + /// This computes the value directly in Q1.31 using the approximations given + /// [here](https://en.wikipedia.org/wiki/Error_function#Approximation_with_elementary_functions). + /// \tparam R rounding mode to use + /// \tparam C `true` for comlementary error function, `false` else + /// \param arg half-precision function argument + /// \return approximated value of error function in half-precision + /// \exception FE_OVERFLOW on overflows + /// \exception FE_UNDERFLOW on underflows + /// \exception FE_INEXACT if no other exception occurred + template unsigned int erf(unsigned int arg) + { + unsigned int abs = arg & 0x7FFF, sign = arg & 0x8000; + f31 x(abs), x2 = x * x * f31(0xB8AA3B29, 0), t = f31(0x80000000, 0) / (f31(0x80000000, 0)+f31(0xA7BA054A, -2)*x), t2 = t * t; + f31 e = ((f31(0x87DC2213, 0)*t2+f31(0xB5F0E2AE, 0))*t2+f31(0x82790637, -2)-(f31(0xBA00E2B8, 0)*t2+f31(0x91A98E62, -2))*t) * t / + ((x2.exp<0) ? f31(exp2((x2.exp>-32) ? (x2.m>>-x2.exp) : 0, 30), 0) : f31(exp2((x2.m<>(31-x2.exp))); + return (!C || sign) ? fixed2half(0x80000000-(e.m>>(C-e.exp)), 14+C, sign&(C-1U)) : + (e.exp<-25) ? underflow() : fixed2half(e.m>>1, e.exp+14, 0, e.m&1); + } + + /// Gamma function and postprocessing. + /// This approximates the value of either the gamma function or its logarithm directly in Q1.31. + /// \tparam R rounding mode to use + /// \tparam L `true` for lograithm of gamma function, `false` for gamma function + /// \param arg half-precision floating-point value + /// \return lgamma/tgamma(\a arg) in half-precision + /// \exception FE_OVERFLOW on overflows + /// \exception FE_UNDERFLOW on underflows + /// \exception FE_INEXACT if \a arg is not a positive integer + template unsigned int gamma(unsigned int arg) + { +/* static const double p[] ={ 2.50662827563479526904, 225.525584619175212544, -268.295973841304927459, 80.9030806934622512966, -5.00757863970517583837, 0.0114684895434781459556 }; + double t = arg + 4.65, s = p[0]; + for(unsigned int i=0; i<5; ++i) + s += p[i+1] / (arg+i); + return std::log(s) + (arg-0.5)*std::log(t) - t; +*/ static const f31 pi(0xC90FDAA2, 1), lbe(0xB8AA3B29, 0); + unsigned int abs = arg & 0x7FFF, sign = arg & 0x8000; + bool bsign = sign != 0; + f31 z(abs), x = sign ? (z+f31(0x80000000, 0)) : z, t = x + f31(0x94CCCCCD, 2), s = + f31(0xA06C9901, 1) + f31(0xBBE654E2, -7)/(x+f31(0x80000000, 2)) + f31(0xA1CE6098, 6)/(x+f31(0x80000000, 1)) + + f31(0xE1868CB7, 7)/x - f31(0x8625E279, 8)/(x+f31(0x80000000, 0)) - f31(0xA03E158F, 2)/(x+f31(0xC0000000, 1)); + int i = (s.exp>=2) + (s.exp>=4) + (s.exp>=8) + (s.exp>=16); + s = f31((static_cast(s.exp)<<(31-i))+(log2(s.m>>1, 28)>>i), i) / lbe; + if(x.exp != -1 || x.m != 0x80000000) + { + i = (t.exp>=2) + (t.exp>=4) + (t.exp>=8); + f31 l = f31((static_cast(t.exp)<<(31-i))+(log2(t.m>>1, 30)>>i), i) / lbe; + s = (x.exp<-1) ? (s-(f31(0x80000000, -1)-x)*l) : (s+(x-f31(0x80000000, -1))*l); + } + s = x.exp ? (s-t) : (t-s); + if(bsign) + { + if(z.exp >= 0) + { + sign &= (L|((z.m>>(31-z.exp))&1)) - 1; + for(z=f31((z.m<<(1+z.exp))&0xFFFFFFFF, -1); z.m<0x80000000; z.m<<=1,--z.exp) ; + } + if(z.exp == -1) + z = f31(0x80000000, 0) - z; + if(z.exp < -1) + { + z = z * pi; + z.m = sincos(z.m>>(1-z.exp), 30).first; + for(z.exp=1; z.m<0x80000000; z.m<<=1,--z.exp) ; + } + else + z = f31(0x80000000, 0); + } + if(L) + { + if(bsign) + { + f31 l(0x92868247, 0); + if(z.exp < 0) + { + uint32 m = log2((z.m+1)>>1, 27); + z = f31(-((static_cast(z.exp)<<26)+(m>>5)), 5); + for(; z.m<0x80000000; z.m<<=1,--z.exp) ; + l = l + z / lbe; + } + sign = static_cast(x.exp&&(l.exp(x.exp==0) << 15; + if(s.exp < -24) + return underflow(sign); + if(s.exp > 15) + return overflow(sign); + } + } + else + { + s = s * lbe; + uint32 m; + if(s.exp < 0) + { + m = s.m >> -s.exp; + s.exp = 0; + } + else + { + m = (s.m<>(31-s.exp)); + } + s.m = exp2(m, 27); + if(!x.exp) + s = f31(0x80000000, 0) / s; + if(bsign) + { + if(z.exp < 0) + s = s * z; + s = pi / s; + if(s.exp < -24) + return underflow(sign); + } + else if(z.exp > 0 && !(z.m&((1<<(31-z.exp))-1))) + return ((s.exp+14)<<10) + (s.m>>21); + if(s.exp > 15) + return overflow(sign); + } + return fixed2half(s.m, s.exp+14, sign); + } + /// \} + + template struct half_caster; + } + + /// Half-precision floating-point type. + /// This class implements an IEEE-conformant half-precision floating-point type with the usual arithmetic + /// operators and conversions. It is implicitly convertible to single-precision floating-point, which makes artihmetic + /// expressions and functions with mixed-type operands to be of the most precise operand type. + /// + /// According to the C++98/03 definition, the half type is not a POD type. But according to C++11's less strict and + /// extended definitions it is both a standard layout type and a trivially copyable type (even if not a POD type), which + /// means it can be standard-conformantly copied using raw binary copies. But in this context some more words about the + /// actual size of the type. Although the half is representing an IEEE 16-bit type, it does not neccessarily have to be of + /// exactly 16-bits size. But on any reasonable implementation the actual binary representation of this type will most + /// probably not ivolve any additional "magic" or padding beyond the simple binary representation of the underlying 16-bit + /// IEEE number, even if not strictly guaranteed by the standard. But even then it only has an actual size of 16 bits if + /// your C++ implementation supports an unsigned integer type of exactly 16 bits width. But this should be the case on + /// nearly any reasonable platform. + /// + /// So if your C++ implementation is not totally exotic or imposes special alignment requirements, it is a reasonable + /// assumption that the data of a half is just comprised of the 2 bytes of the underlying IEEE representation. + class half + { + public: + /// \name Construction and assignment + /// \{ + + /// Default constructor. + /// This initializes the half to 0. Although this does not match the builtin types' default-initialization semantics + /// and may be less efficient than no initialization, it is needed to provide proper value-initialization semantics. + HALF_CONSTEXPR half() HALF_NOEXCEPT : data_() {} + + /// Conversion constructor. + /// \param rhs float to convert + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + explicit half(float rhs) : data_(static_cast(detail::float2half(rhs))) {} + + /// Conversion to single-precision. + /// \return single precision value representing expression value + operator float() const { return detail::half2float(data_); } + + /// Assignment operator. + /// \param rhs single-precision value to copy from + /// \return reference to this half + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + half& operator=(float rhs) { data_ = static_cast(detail::float2half(rhs)); return *this; } + + /// \} + /// \name Arithmetic updates + /// \{ + + /// Arithmetic assignment. + /// \tparam T type of concrete half expression + /// \param rhs half expression to add + /// \return reference to this half + /// \exception FE_... according to operator+(half,half) + half& operator+=(half rhs) { return *this = *this + rhs; } + + /// Arithmetic assignment. + /// \tparam T type of concrete half expression + /// \param rhs half expression to subtract + /// \return reference to this half + /// \exception FE_... according to operator-(half,half) + half& operator-=(half rhs) { return *this = *this - rhs; } + + /// Arithmetic assignment. + /// \tparam T type of concrete half expression + /// \param rhs half expression to multiply with + /// \return reference to this half + /// \exception FE_... according to operator*(half,half) + half& operator*=(half rhs) { return *this = *this * rhs; } + + /// Arithmetic assignment. + /// \tparam T type of concrete half expression + /// \param rhs half expression to divide by + /// \return reference to this half + /// \exception FE_... according to operator/(half,half) + half& operator/=(half rhs) { return *this = *this / rhs; } + + /// Arithmetic assignment. + /// \param rhs single-precision value to add + /// \return reference to this half + /// \exception FE_... according to operator=() + half& operator+=(float rhs) { return *this = *this + rhs; } + + /// Arithmetic assignment. + /// \param rhs single-precision value to subtract + /// \return reference to this half + /// \exception FE_... according to operator=() + half& operator-=(float rhs) { return *this = *this - rhs; } + + /// Arithmetic assignment. + /// \param rhs single-precision value to multiply with + /// \return reference to this half + /// \exception FE_... according to operator=() + half& operator*=(float rhs) { return *this = *this * rhs; } + + /// Arithmetic assignment. + /// \param rhs single-precision value to divide by + /// \return reference to this half + /// \exception FE_... according to operator=() + half& operator/=(float rhs) { return *this = *this / rhs; } + + /// \} + /// \name Increment and decrement + /// \{ + + /// Prefix increment. + /// \return incremented half value + /// \exception FE_... according to operator+(half,half) + half& operator++() { return *this = *this + half(detail::binary, 0x3C00); } + + /// Prefix decrement. + /// \return decremented half value + /// \exception FE_... according to operator-(half,half) + half& operator--() { return *this = *this + half(detail::binary, 0xBC00); } + + /// Postfix increment. + /// \return non-incremented half value + /// \exception FE_... according to operator+(half,half) + half operator++(int) { half out(*this); ++*this; return out; } + + /// Postfix decrement. + /// \return non-decremented half value + /// \exception FE_... according to operator-(half,half) + half operator--(int) { half out(*this); --*this; return out; } + /// \} + + private: + /// Rounding mode to use + static const std::float_round_style round_style = (std::float_round_style)(HALF_ROUND_STYLE); + + /// Constructor. + /// \param bits binary representation to set half to + HALF_CONSTEXPR half(detail::binary_t, unsigned int bits) HALF_NOEXCEPT : data_(static_cast(bits)) {} + + /// Internal binary representation + detail::uint16 data_; + + #ifndef HALF_DOXYGEN_ONLY + friend HALF_CONSTEXPR_NOERR bool operator==(half, half); + friend HALF_CONSTEXPR_NOERR bool operator!=(half, half); + friend HALF_CONSTEXPR_NOERR bool operator<(half, half); + friend HALF_CONSTEXPR_NOERR bool operator>(half, half); + friend HALF_CONSTEXPR_NOERR bool operator<=(half, half); + friend HALF_CONSTEXPR_NOERR bool operator>=(half, half); + friend HALF_CONSTEXPR half operator-(half); + friend half operator+(half, half); + friend half operator-(half, half); + friend half operator*(half, half); + friend half operator/(half, half); + template friend std::basic_ostream& operator<<(std::basic_ostream&, half); + template friend std::basic_istream& operator>>(std::basic_istream&, half&); + friend HALF_CONSTEXPR half fabs(half); + friend half fmod(half, half); + friend half remainder(half, half); + friend half remquo(half, half, int*); + friend half fma(half, half, half); + friend HALF_CONSTEXPR_NOERR half fmax(half, half); + friend HALF_CONSTEXPR_NOERR half fmin(half, half); + friend half fdim(half, half); + friend half nanh(const char*); + friend half exp(half); + friend half exp2(half); + friend half expm1(half); + friend half log(half); + friend half log10(half); + friend half log2(half); + friend half log1p(half); + friend half sqrt(half); + friend half cbrt(half); + friend half hypot(half, half); + friend half hypot(half, half, half); + friend half pow(half, half); + friend void sincos(half, half*, half*); + friend half sin(half); + friend half cos(half); + friend half tan(half); + friend half asin(half); + friend half acos(half); + friend half atan(half); + friend half atan2(half, half); + friend half sinh(half); + friend half cosh(half); + friend half tanh(half); + friend half asinh(half); + friend half acosh(half); + friend half atanh(half); + friend half erf(half); + friend half erfc(half); + friend half lgamma(half); + friend half tgamma(half); + friend half ceil(half); + friend half floor(half); + friend half trunc(half); + friend half round(half); + friend long lround(half); + friend half rint(half); + friend long lrint(half); + friend half nearbyint(half); + #ifdef HALF_ENABLE_CPP11_LONG_LONG + friend long long llround(half); + friend long long llrint(half); + #endif + friend half frexp(half, int*); + friend half scalbln(half, long); + friend half modf(half, half*); + friend int ilogb(half); + friend half logb(half); + friend half nextafter(half, half); + friend half nexttoward(half, long double); + friend HALF_CONSTEXPR half copysign(half, half); + friend HALF_CONSTEXPR int fpclassify(half); + friend HALF_CONSTEXPR bool isfinite(half); + friend HALF_CONSTEXPR bool isinf(half); + friend HALF_CONSTEXPR bool isnan(half); + friend HALF_CONSTEXPR bool isnormal(half); + friend HALF_CONSTEXPR bool signbit(half); + friend HALF_CONSTEXPR bool isgreater(half, half); + friend HALF_CONSTEXPR bool isgreaterequal(half, half); + friend HALF_CONSTEXPR bool isless(half, half); + friend HALF_CONSTEXPR bool islessequal(half, half); + friend HALF_CONSTEXPR bool islessgreater(half, half); + template friend struct detail::half_caster; + friend class std::numeric_limits; + #if HALF_ENABLE_CPP11_HASH + friend struct std::hash; + #endif + #if HALF_ENABLE_CPP11_USER_LITERALS + friend half literal::operator "" _h(long double); + #endif + #endif + }; + +#if HALF_ENABLE_CPP11_USER_LITERALS + namespace literal + { + /// Half literal. + /// While this returns a properly rounded half-precision value, half literals can unfortunately not be constant + /// expressions due to rather involved conversions. So don't expect this to be a literal literal without involving + /// conversion operations at runtime. It is a convenience feature, not a performance optimization. + /// \param value literal value + /// \return half with of given value (possibly rounded) + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half operator "" _h(long double value) { return half(detail::binary, detail::float2half(value)); } + } +#endif + + namespace detail + { + /// Helper class for half casts. + /// This class template has to be specialized for all valid cast arguments to define an appropriate static + /// `cast` member function and a corresponding `type` member denoting its return type. + /// \tparam T destination type + /// \tparam U source type + /// \tparam R rounding mode to use + template struct half_caster {}; + template struct half_caster + { + #if HALF_ENABLE_CPP11_STATIC_ASSERT && HALF_ENABLE_CPP11_TYPE_TRAITS + static_assert(std::is_arithmetic::value, "half_cast from non-arithmetic type unsupported"); + #endif + + static half cast(U arg) { return cast_impl(arg, is_float()); }; + + private: + static half cast_impl(U arg, true_type) { return half(binary, float2half(arg)); } + static half cast_impl(U arg, false_type) { return half(binary, int2half(arg)); } + }; + template struct half_caster + { + #if HALF_ENABLE_CPP11_STATIC_ASSERT && HALF_ENABLE_CPP11_TYPE_TRAITS + static_assert(std::is_arithmetic::value, "half_cast to non-arithmetic type unsupported"); + #endif + + static T cast(half arg) { return cast_impl(arg, is_float()); } + + private: + static T cast_impl(half arg, true_type) { return half2float(arg.data_); } + static T cast_impl(half arg, false_type) { return half2int(arg.data_); } + }; + template struct half_caster + { + static half cast(half arg) { return arg; } + }; + } +} + +/// Extensions to the C++ standard library. +namespace std +{ + /// Numeric limits for half-precision floats. + /// **See also:** Documentation for [std::numeric_limits](https://en.cppreference.com/w/cpp/types/numeric_limits) + template<> class numeric_limits + { + public: + /// Is template specialization. + static HALF_CONSTEXPR_CONST bool is_specialized = true; + + /// Supports signed values. + static HALF_CONSTEXPR_CONST bool is_signed = true; + + /// Is not an integer type. + static HALF_CONSTEXPR_CONST bool is_integer = false; + + /// Is not exact. + static HALF_CONSTEXPR_CONST bool is_exact = false; + + /// Doesn't provide modulo arithmetic. + static HALF_CONSTEXPR_CONST bool is_modulo = false; + + /// Has a finite set of values. + static HALF_CONSTEXPR_CONST bool is_bounded = true; + + /// IEEE conformant. + static HALF_CONSTEXPR_CONST bool is_iec559 = true; + + /// Supports infinity. + static HALF_CONSTEXPR_CONST bool has_infinity = true; + + /// Supports quiet NaNs. + static HALF_CONSTEXPR_CONST bool has_quiet_NaN = true; + + /// Supports signaling NaNs. + static HALF_CONSTEXPR_CONST bool has_signaling_NaN = true; + + /// Supports subnormal values. + static HALF_CONSTEXPR_CONST float_denorm_style has_denorm = denorm_present; + + /// Supports no denormalization detection. + static HALF_CONSTEXPR_CONST bool has_denorm_loss = false; + + #if HALF_ERRHANDLING_THROWS + static HALF_CONSTEXPR_CONST bool traps = true; + #else + /// Traps only if [HALF_ERRHANDLING_THROW_...](\ref HALF_ERRHANDLING_THROW_INVALID) is acitvated. + static HALF_CONSTEXPR_CONST bool traps = false; + #endif + + /// Does not support no pre-rounding underflow detection. + static HALF_CONSTEXPR_CONST bool tinyness_before = false; + + /// Rounding mode. + static HALF_CONSTEXPR_CONST float_round_style round_style = half_float::half::round_style; + + /// Significant digits. + static HALF_CONSTEXPR_CONST int digits = 11; + + /// Significant decimal digits. + static HALF_CONSTEXPR_CONST int digits10 = 3; + + /// Required decimal digits to represent all possible values. + static HALF_CONSTEXPR_CONST int max_digits10 = 5; + + /// Number base. + static HALF_CONSTEXPR_CONST int radix = 2; + + /// One more than smallest exponent. + static HALF_CONSTEXPR_CONST int min_exponent = -13; + + /// Smallest normalized representable power of 10. + static HALF_CONSTEXPR_CONST int min_exponent10 = -4; + + /// One more than largest exponent + static HALF_CONSTEXPR_CONST int max_exponent = 16; + + /// Largest finitely representable power of 10. + static HALF_CONSTEXPR_CONST int max_exponent10 = 4; + + /// Smallest positive normal value. + static HALF_CONSTEXPR half_float::half min() HALF_NOTHROW { return half_float::half(half_float::detail::binary, 0x0400); } + + /// Smallest finite value. + static HALF_CONSTEXPR half_float::half lowest() HALF_NOTHROW { return half_float::half(half_float::detail::binary, 0xFBFF); } + + /// Largest finite value. + static HALF_CONSTEXPR half_float::half max() HALF_NOTHROW { return half_float::half(half_float::detail::binary, 0x7BFF); } + + /// Difference between 1 and next representable value. + static HALF_CONSTEXPR half_float::half epsilon() HALF_NOTHROW { return half_float::half(half_float::detail::binary, 0x1400); } + + /// Maximum rounding error in ULP (units in the last place). + static HALF_CONSTEXPR half_float::half round_error() HALF_NOTHROW + { return half_float::half(half_float::detail::binary, (round_style==std::round_to_nearest) ? 0x3800 : 0x3C00); } + + /// Positive infinity. + static HALF_CONSTEXPR half_float::half infinity() HALF_NOTHROW { return half_float::half(half_float::detail::binary, 0x7C00); } + + /// Quiet NaN. + static HALF_CONSTEXPR half_float::half quiet_NaN() HALF_NOTHROW { return half_float::half(half_float::detail::binary, 0x7FFF); } + + /// Signaling NaN. + static HALF_CONSTEXPR half_float::half signaling_NaN() HALF_NOTHROW { return half_float::half(half_float::detail::binary, 0x7DFF); } + + /// Smallest positive subnormal value. + static HALF_CONSTEXPR half_float::half denorm_min() HALF_NOTHROW { return half_float::half(half_float::detail::binary, 0x0001); } + }; + +#if HALF_ENABLE_CPP11_HASH + /// Hash function for half-precision floats. + /// This is only defined if C++11 `std::hash` is supported and enabled. + /// + /// **See also:** Documentation for [std::hash](https://en.cppreference.com/w/cpp/utility/hash) + template<> struct hash + { + /// Type of function argument. + typedef half_float::half argument_type; + + /// Function return type. + typedef size_t result_type; + + /// Compute hash function. + /// \param arg half to hash + /// \return hash value + result_type operator()(argument_type arg) const { return hash()(arg.data_&-static_cast(arg.data_!=0x8000)); } + }; +#endif +} + +namespace half_float +{ + /// \anchor compop + /// \name Comparison operators + /// \{ + + /// Comparison for equality. + /// \param x first operand + /// \param y second operand + /// \retval true if operands equal + /// \retval false else + /// \exception FE_INVALID if \a x or \a y is NaN + inline HALF_CONSTEXPR_NOERR bool operator==(half x, half y) + { + return !detail::compsignal(x.data_, y.data_) && (x.data_==y.data_ || !((x.data_|y.data_)&0x7FFF)); + } + + /// Comparison for inequality. + /// \param x first operand + /// \param y second operand + /// \retval true if operands not equal + /// \retval false else + /// \exception FE_INVALID if \a x or \a y is NaN + inline HALF_CONSTEXPR_NOERR bool operator!=(half x, half y) + { + return detail::compsignal(x.data_, y.data_) || (x.data_!=y.data_ && ((x.data_|y.data_)&0x7FFF)); + } + + /// Comparison for less than. + /// \param x first operand + /// \param y second operand + /// \retval true if \a x less than \a y + /// \retval false else + /// \exception FE_INVALID if \a x or \a y is NaN + inline HALF_CONSTEXPR_NOERR bool operator<(half x, half y) + { + return !detail::compsignal(x.data_, y.data_) && + ((x.data_^(0x8000|(0x8000-(x.data_>>15))))+(x.data_>>15)) < ((y.data_^(0x8000|(0x8000-(y.data_>>15))))+(y.data_>>15)); + } + + /// Comparison for greater than. + /// \param x first operand + /// \param y second operand + /// \retval true if \a x greater than \a y + /// \retval false else + /// \exception FE_INVALID if \a x or \a y is NaN + inline HALF_CONSTEXPR_NOERR bool operator>(half x, half y) + { + return !detail::compsignal(x.data_, y.data_) && + ((x.data_^(0x8000|(0x8000-(x.data_>>15))))+(x.data_>>15)) > ((y.data_^(0x8000|(0x8000-(y.data_>>15))))+(y.data_>>15)); + } + + /// Comparison for less equal. + /// \param x first operand + /// \param y second operand + /// \retval true if \a x less equal \a y + /// \retval false else + /// \exception FE_INVALID if \a x or \a y is NaN + inline HALF_CONSTEXPR_NOERR bool operator<=(half x, half y) + { + return !detail::compsignal(x.data_, y.data_) && + ((x.data_^(0x8000|(0x8000-(x.data_>>15))))+(x.data_>>15)) <= ((y.data_^(0x8000|(0x8000-(y.data_>>15))))+(y.data_>>15)); + } + + /// Comparison for greater equal. + /// \param x first operand + /// \param y second operand + /// \retval true if \a x greater equal \a y + /// \retval false else + /// \exception FE_INVALID if \a x or \a y is NaN + inline HALF_CONSTEXPR_NOERR bool operator>=(half x, half y) + { + return !detail::compsignal(x.data_, y.data_) && + ((x.data_^(0x8000|(0x8000-(x.data_>>15))))+(x.data_>>15)) >= ((y.data_^(0x8000|(0x8000-(y.data_>>15))))+(y.data_>>15)); + } + + /// \} + /// \anchor arithmetics + /// \name Arithmetic operators + /// \{ + + /// Identity. + /// \param arg operand + /// \return unchanged operand + inline HALF_CONSTEXPR half operator+(half arg) { return arg; } + + /// Negation. + /// \param arg operand + /// \return negated operand + inline HALF_CONSTEXPR half operator-(half arg) { return half(detail::binary, arg.data_^0x8000); } + + /// Addition. + /// This operation is exact to rounding for all rounding modes. + /// \param x left operand + /// \param y right operand + /// \return sum of half expressions + /// \exception FE_INVALID if \a x and \a y are infinities with different signs or signaling NaNs + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half operator+(half x, half y) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(detail::half2float(x.data_)+detail::half2float(y.data_))); + #else + int absx = x.data_ & 0x7FFF, absy = y.data_ & 0x7FFF; + bool sub = ((x.data_^y.data_)&0x8000) != 0; + if(absx >= 0x7C00 || absy >= 0x7C00) + return half(detail::binary, (absx>0x7C00 || absy>0x7C00) ? detail::signal(x.data_, y.data_) : (absy!=0x7C00) ? x.data_ : + (sub && absx==0x7C00) ? detail::invalid() : y.data_); + if(!absx) + return absy ? y : half(detail::binary, (half::round_style==std::round_toward_neg_infinity) ? (x.data_|y.data_) : (x.data_&y.data_)); + if(!absy) + return x; + unsigned int sign = ((sub && absy>absx) ? y.data_ : x.data_) & 0x8000; + if(absy > absx) + std::swap(absx, absy); + int exp = (absx>>10) + (absx<=0x3FF), d = exp - (absy>>10) - (absy<=0x3FF), mx = ((absx&0x3FF)|((absx>0x3FF)<<10)) << 3, my; + if(d < 13) + { + my = ((absy&0x3FF)|((absy>0x3FF)<<10)) << 3; + my = (my>>d) | ((my&((1<(half::round_style==std::round_toward_neg_infinity)<<15); + for(; mx<0x2000 && exp>1; mx<<=1,--exp) ; + } + else + { + mx += my; + int i = mx >> 14; + if((exp+=i) > 30) + return half(detail::binary, detail::overflow(sign)); + mx = (mx>>i) | (mx&i); + } + return half(detail::binary, detail::rounded(sign+((exp-1)<<10)+(mx>>3), (mx>>2)&1, (mx&0x3)!=0)); + #endif + } + + /// Subtraction. + /// This operation is exact to rounding for all rounding modes. + /// \param x left operand + /// \param y right operand + /// \return difference of half expressions + /// \exception FE_INVALID if \a x and \a y are infinities with equal signs or signaling NaNs + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half operator-(half x, half y) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(detail::half2float(x.data_)-detail::half2float(y.data_))); + #else + return x + -y; + #endif + } + + /// Multiplication. + /// This operation is exact to rounding for all rounding modes. + /// \param x left operand + /// \param y right operand + /// \return product of half expressions + /// \exception FE_INVALID if multiplying 0 with infinity or if \a x or \a y is signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half operator*(half x, half y) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(detail::half2float(x.data_)*detail::half2float(y.data_))); + #else + int absx = x.data_ & 0x7FFF, absy = y.data_ & 0x7FFF, exp = -16; + unsigned int sign = (x.data_^y.data_) & 0x8000; + if(absx >= 0x7C00 || absy >= 0x7C00) + return half(detail::binary, (absx>0x7C00 || absy>0x7C00) ? detail::signal(x.data_, y.data_) : + ((absx==0x7C00 && !absy)||(absy==0x7C00 && !absx)) ? detail::invalid() : (sign|0x7C00)); + if(!absx || !absy) + return half(detail::binary, sign); + for(; absx<0x400; absx<<=1,--exp) ; + for(; absy<0x400; absy<<=1,--exp) ; + detail::uint32 m = static_cast((absx&0x3FF)|0x400) * static_cast((absy&0x3FF)|0x400); + int i = m >> 21, s = m & i; + exp += (absx>>10) + (absy>>10) + i; + if(exp > 29) + return half(detail::binary, detail::overflow(sign)); + else if(exp < -11) + return half(detail::binary, detail::underflow(sign)); + return half(detail::binary, detail::fixed2half(m>>i, exp, sign, s)); + #endif + } + + /// Division. + /// This operation is exact to rounding for all rounding modes. + /// \param x left operand + /// \param y right operand + /// \return quotient of half expressions + /// \exception FE_INVALID if dividing 0s or infinities with each other or if \a x or \a y is signaling NaN + /// \exception FE_DIVBYZERO if dividing finite value by 0 + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half operator/(half x, half y) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(detail::half2float(x.data_)/detail::half2float(y.data_))); + #else + int absx = x.data_ & 0x7FFF, absy = y.data_ & 0x7FFF, exp = 14; + unsigned int sign = (x.data_^y.data_) & 0x8000; + if(absx >= 0x7C00 || absy >= 0x7C00) + return half(detail::binary, (absx>0x7C00 || absy>0x7C00) ? detail::signal(x.data_, y.data_) : + (absx==absy) ? detail::invalid() : (sign|((absx==0x7C00) ? 0x7C00 : 0))); + if(!absx) + return half(detail::binary, absy ? sign : detail::invalid()); + if(!absy) + return half(detail::binary, detail::pole(sign)); + for(; absx<0x400; absx<<=1,--exp) ; + for(; absy<0x400; absy<<=1,++exp) ; + detail::uint32 mx = (absx&0x3FF) | 0x400, my = (absy&0x3FF) | 0x400; + int i = mx < my; + exp += (absx>>10) - (absy>>10) - i; + if(exp > 29) + return half(detail::binary, detail::overflow(sign)); + else if(exp < -11) + return half(detail::binary, detail::underflow(sign)); + mx <<= 12 + i; + my <<= 1; + return half(detail::binary, detail::fixed2half(mx/my, exp, sign, mx%my!=0)); + #endif + } + + /// \} + /// \anchor streaming + /// \name Input and output + /// \{ + + /// Output operator. + /// This uses the built-in functionality for streaming out floating-point numbers. + /// \param out output stream to write into + /// \param arg half expression to write + /// \return reference to output stream + template std::basic_ostream& operator<<(std::basic_ostream &out, half arg) + { + #ifdef HALF_ARITHMETIC_TYPE + return out << detail::half2float(arg.data_); + #else + return out << detail::half2float(arg.data_); + #endif + } + + /// Input operator. + /// This uses the built-in functionality for streaming in floating-point numbers, specifically double precision floating + /// point numbers (unless overridden with [HALF_ARITHMETIC_TYPE](\ref HALF_ARITHMETIC_TYPE)). So the input string is first + /// rounded to double precision using the underlying platform's current floating-point rounding mode before being rounded + /// to half-precision using the library's half-precision rounding mode. + /// \param in input stream to read from + /// \param arg half to read into + /// \return reference to input stream + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + template std::basic_istream& operator>>(std::basic_istream &in, half &arg) + { + #ifdef HALF_ARITHMETIC_TYPE + detail::internal_t f; + #else + double f; + #endif + if(in >> f) + arg.data_ = detail::float2half(f); + return in; + } + + /// \} + /// \anchor basic + /// \name Basic mathematical operations + /// \{ + + /// Absolute value. + /// **See also:** Documentation for [std::fabs](https://en.cppreference.com/w/cpp/numeric/math/fabs). + /// \param arg operand + /// \return absolute value of \a arg + inline HALF_CONSTEXPR half fabs(half arg) { return half(detail::binary, arg.data_&0x7FFF); } + + /// Absolute value. + /// **See also:** Documentation for [std::abs](https://en.cppreference.com/w/cpp/numeric/math/fabs). + /// \param arg operand + /// \return absolute value of \a arg + inline HALF_CONSTEXPR half abs(half arg) { return fabs(arg); } + + /// Remainder of division. + /// **See also:** Documentation for [std::fmod](https://en.cppreference.com/w/cpp/numeric/math/fmod). + /// \param x first operand + /// \param y second operand + /// \return remainder of floating-point division. + /// \exception FE_INVALID if \a x is infinite or \a y is 0 or if \a x or \a y is signaling NaN + inline half fmod(half x, half y) + { + unsigned int absx = x.data_ & 0x7FFF, absy = y.data_ & 0x7FFF, sign = x.data_ & 0x8000; + if(absx >= 0x7C00 || absy >= 0x7C00) + return half(detail::binary, (absx>0x7C00 || absy>0x7C00) ? detail::signal(x.data_, y.data_) : + (absx==0x7C00) ? detail::invalid() : x.data_); + if(!absy) + return half(detail::binary, detail::invalid()); + if(!absx) + return x; + if(absx == absy) + return half(detail::binary, sign); + return half(detail::binary, sign|detail::mod(absx, absy)); + } + + /// Remainder of division. + /// **See also:** Documentation for [std::remainder](https://en.cppreference.com/w/cpp/numeric/math/remainder). + /// \param x first operand + /// \param y second operand + /// \return remainder of floating-point division. + /// \exception FE_INVALID if \a x is infinite or \a y is 0 or if \a x or \a y is signaling NaN + inline half remainder(half x, half y) + { + unsigned int absx = x.data_ & 0x7FFF, absy = y.data_ & 0x7FFF, sign = x.data_ & 0x8000; + if(absx >= 0x7C00 || absy >= 0x7C00) + return half(detail::binary, (absx>0x7C00 || absy>0x7C00) ? detail::signal(x.data_, y.data_) : + (absx==0x7C00) ? detail::invalid() : x.data_); + if(!absy) + return half(detail::binary, detail::invalid()); + if(absx == absy) + return half(detail::binary, sign); + return half(detail::binary, sign^detail::mod(absx, absy)); + } + + /// Remainder of division. + /// **See also:** Documentation for [std::remquo](https://en.cppreference.com/w/cpp/numeric/math/remquo). + /// \param x first operand + /// \param y second operand + /// \param quo address to store some bits of quotient at + /// \return remainder of floating-point division. + /// \exception FE_INVALID if \a x is infinite or \a y is 0 or if \a x or \a y is signaling NaN + inline half remquo(half x, half y, int *quo) + { + unsigned int absx = x.data_ & 0x7FFF, absy = y.data_ & 0x7FFF, value = x.data_ & 0x8000; + if(absx >= 0x7C00 || absy >= 0x7C00) + return half(detail::binary, (absx>0x7C00 || absy>0x7C00) ? detail::signal(x.data_, y.data_) : + (absx==0x7C00) ? detail::invalid() : (*quo = 0, x.data_)); + if(!absy) + return half(detail::binary, detail::invalid()); + bool qsign = ((value^y.data_)&0x8000) != 0; + int q = 1; + if(absx != absy) + value ^= detail::mod(absx, absy, &q); + return *quo = qsign ? -q : q, half(detail::binary, value); + } + + /// Fused multiply add. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::fma](https://en.cppreference.com/w/cpp/numeric/math/fma). + /// \param x first operand + /// \param y second operand + /// \param z third operand + /// \return ( \a x * \a y ) + \a z rounded as one operation. + /// \exception FE_INVALID according to operator*() and operator+() unless any argument is a quiet NaN and no argument is a signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding the final addition + inline half fma(half x, half y, half z) + { + #ifdef HALF_ARITHMETIC_TYPE + detail::internal_t fx = detail::half2float(x.data_), fy = detail::half2float(y.data_), fz = detail::half2float(z.data_); + #if HALF_ENABLE_CPP11_CMATH && FP_FAST_FMA + return half(detail::binary, detail::float2half(std::fma(fx, fy, fz))); + #else + return half(detail::binary, detail::float2half(fx*fy+fz)); + #endif + #else + int absx = x.data_ & 0x7FFF, absy = y.data_ & 0x7FFF, absz = z.data_ & 0x7FFF, exp = -15; + unsigned int sign = (x.data_^y.data_) & 0x8000; + bool sub = ((sign^z.data_)&0x8000) != 0; + if(absx >= 0x7C00 || absy >= 0x7C00 || absz >= 0x7C00) + return (absx>0x7C00 || absy>0x7C00 || absz>0x7C00) ? half(detail::binary, detail::signal(x.data_, y.data_, z.data_)) : + (absx==0x7C00) ? half(detail::binary, (!absy || (sub && absz==0x7C00)) ? detail::invalid() : (sign|0x7C00)) : + (absy==0x7C00) ? half(detail::binary, (!absx || (sub && absz==0x7C00)) ? detail::invalid() : (sign|0x7C00)) : z; + if(!absx || !absy) + return absz ? z : half(detail::binary, (half::round_style==std::round_toward_neg_infinity) ? (z.data_|sign) : (z.data_&sign)); + for(; absx<0x400; absx<<=1,--exp) ; + for(; absy<0x400; absy<<=1,--exp) ; + detail::uint32 m = static_cast((absx&0x3FF)|0x400) * static_cast((absy&0x3FF)|0x400); + int i = m >> 21; + exp += (absx>>10) + (absy>>10) + i; + m <<= 3 - i; + if(absz) + { + int expz = 0; + for(; absz<0x400; absz<<=1,--expz) ; + expz += absz >> 10; + detail::uint32 mz = static_cast((absz&0x3FF)|0x400) << 13; + if(expz > exp || (expz == exp && mz > m)) + { + std::swap(m, mz); + std::swap(exp, expz); + if(sub) + sign = z.data_ & 0x8000; + } + int d = exp - expz; + mz = (d<23) ? ((mz>>d)|((mz&((static_cast(1)<(half::round_style==std::round_toward_neg_infinity)<<15); + for(; m<0x800000; m<<=1,--exp) ; + } + else + { + m += mz; + i = m >> 24; + m = (m>>i) | (m&i); + exp += i; + } + } + if(exp > 30) + return half(detail::binary, detail::overflow(sign)); + else if(exp < -10) + return half(detail::binary, detail::underflow(sign)); + return half(detail::binary, detail::fixed2half(m, exp-1, sign)); + #endif + } + + /// Maximum of half expressions. + /// **See also:** Documentation for [std::fmax](https://en.cppreference.com/w/cpp/numeric/math/fmax). + /// \param x first operand + /// \param y second operand + /// \return maximum of operands, ignoring quiet NaNs + /// \exception FE_INVALID if \a x or \a y is signaling NaN + inline HALF_CONSTEXPR_NOERR half fmax(half x, half y) + { + return half(detail::binary, (!isnan(y) && (isnan(x) || (x.data_^(0x8000|(0x8000-(x.data_>>15)))) < + (y.data_^(0x8000|(0x8000-(y.data_>>15)))))) ? detail::select(y.data_, x.data_) : detail::select(x.data_, y.data_)); + } + + /// Minimum of half expressions. + /// **See also:** Documentation for [std::fmin](https://en.cppreference.com/w/cpp/numeric/math/fmin). + /// \param x first operand + /// \param y second operand + /// \return minimum of operands, ignoring quiet NaNs + /// \exception FE_INVALID if \a x or \a y is signaling NaN + inline HALF_CONSTEXPR_NOERR half fmin(half x, half y) + { + return half(detail::binary, (!isnan(y) && (isnan(x) || (x.data_^(0x8000|(0x8000-(x.data_>>15)))) > + (y.data_^(0x8000|(0x8000-(y.data_>>15)))))) ? detail::select(y.data_, x.data_) : detail::select(x.data_, y.data_)); + } + + /// Positive difference. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::fdim](https://en.cppreference.com/w/cpp/numeric/math/fdim). + /// \param x first operand + /// \param y second operand + /// \return \a x - \a y or 0 if difference negative + /// \exception FE_... according to operator-(half,half) + inline half fdim(half x, half y) + { + if(isnan(x) || isnan(y)) + return half(detail::binary, detail::signal(x.data_, y.data_)); + return (x.data_^(0x8000|(0x8000-(x.data_>>15)))) <= (y.data_^(0x8000|(0x8000-(y.data_>>15)))) ? half(detail::binary, 0) : (x-y); + } + + /// Get NaN value. + /// **See also:** Documentation for [std::nan](https://en.cppreference.com/w/cpp/numeric/math/nan). + /// \param arg string code + /// \return quiet NaN + inline half nanh(const char *arg) + { + unsigned int value = 0x7FFF; + while(*arg) + value ^= static_cast(*arg++) & 0xFF; + return half(detail::binary, value); + } + + /// \} + /// \anchor exponential + /// \name Exponential functions + /// \{ + + /// Exponential function. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::exp](https://en.cppreference.com/w/cpp/numeric/math/exp). + /// \param arg function argument + /// \return e raised to \a arg + /// \exception FE_INVALID for signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half exp(half arg) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(std::exp(detail::half2float(arg.data_)))); + #else + int abs = arg.data_ & 0x7FFF; + if(!abs) + return half(detail::binary, 0x3C00); + if(abs >= 0x7C00) + return half(detail::binary, (abs==0x7C00) ? (0x7C00&((arg.data_>>15)-1U)) : detail::signal(arg.data_)); + if(abs >= 0x4C80) + return half(detail::binary, (arg.data_&0x8000) ? detail::underflow() : detail::overflow()); + detail::uint32 m = detail::multiply64(static_cast((abs&0x3FF)+((abs>0x3FF)<<10))<<21, 0xB8AA3B29); + int e = (abs>>10) + (abs<=0x3FF), exp; + if(e < 14) + { + exp = 0; + m >>= 14 - e; + } + else + { + exp = m >> (45-e); + m = (m<<(e-14)) & 0x7FFFFFFF; + } + return half(detail::binary, detail::exp2_post(detail::exp2(m, 26), exp, (arg.data_&0x8000)!=0)); + #endif + } + + /// Binary exponential. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::exp2](https://en.cppreference.com/w/cpp/numeric/math/exp2). + /// \param arg function argument + /// \return 2 raised to \a arg + /// \exception FE_INVALID for signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half exp2(half arg) + { + #if defined(HALF_ARITHMETIC_TYPE) && HALF_ENABLE_CPP11_CMATH + return half(detail::binary, detail::float2half(std::exp2(detail::half2float(arg.data_)))); + #else + int abs = arg.data_ & 0x7FFF; + if(!abs) + return half(detail::binary, 0x3C00); + if(abs >= 0x7C00) + return half(detail::binary, (abs==0x7C00) ? (0x7C00&((arg.data_>>15)-1U)) : detail::signal(arg.data_)); + if(abs >= 0x4E40) + return half(detail::binary, (arg.data_&0x8000) ? detail::underflow() : detail::overflow()); + int e = (abs>>10) + (abs<=0x3FF), exp = (abs&0x3FF) + ((abs>0x3FF)<<10); + detail::uint32 m = detail::exp2((static_cast(exp)<<(6+e))&0x7FFFFFFF, 28); + exp >>= 25 - e; + if(m == 0x80000000) + { + if(arg.data_&0x8000) + exp = -exp; + else if(exp > 15) + return half(detail::binary, detail::overflow()); + return half(detail::binary, detail::fixed2half(m, exp+14)); + } + return half(detail::binary, detail::exp2_post(m, exp, (arg.data_&0x8000)!=0)); + #endif + } + + /// Exponential minus one. + /// This function may be 1 ULP off the correctly rounded exact result in <0.05% of inputs for `std::round_to_nearest` + /// and in <1% of inputs for any other rounding mode. + /// + /// **See also:** Documentation for [std::expm1](https://en.cppreference.com/w/cpp/numeric/math/expm1). + /// \param arg function argument + /// \return e raised to \a arg and subtracted by 1 + /// \exception FE_INVALID for signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half expm1(half arg) + { + #if defined(HALF_ARITHMETIC_TYPE) && HALF_ENABLE_CPP11_CMATH + return half(detail::binary, detail::float2half(std::expm1(detail::half2float(arg.data_)))); + #else + unsigned int abs = arg.data_ & 0x7FFF, sign = arg.data_ & 0x8000; + if(!abs) + return arg; + if(abs >= 0x7C00) + return half(detail::binary, (abs==0x7C00) ? (0x7C00+(sign>>1)) : detail::signal(arg.data_)); + if(abs >= 0x4A00) + return half(detail::binary, (arg.data_&0x8000) ? detail::rounded(0xBBFF, 1, 1) : detail::overflow()); + detail::uint32 m = detail::multiply64(static_cast((abs&0x3FF)+((abs>0x3FF)<<10))<<21, 0xB8AA3B29); + int e = (abs>>10) + (abs<=0x3FF), exp; + if(e < 14) + { + exp = 0; + m >>= 14 - e; + } + else + { + exp = m >> (45-e); + m = (m<<(e-14)) & 0x7FFFFFFF; + } + m = detail::exp2(m); + if(sign) + { + int s = 0; + if(m > 0x80000000) + { + ++exp; + m = detail::divide64(0x80000000, m, s); + } + m = 0x80000000 - ((m>>exp)|((m&((static_cast(1)<>exp) : 1; + for(exp+=14; m<0x80000000 && exp; m<<=1,--exp) ; + if(exp > 29) + return half(detail::binary, detail::overflow()); + return half(detail::binary, detail::rounded(sign+(exp<<10)+(m>>21), (m>>20)&1, (m&0xFFFFF)!=0)); + #endif + } + + /// Natural logarithm. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::log](https://en.cppreference.com/w/cpp/numeric/math/log). + /// \param arg function argument + /// \return logarithm of \a arg to base e + /// \exception FE_INVALID for signaling NaN or negative argument + /// \exception FE_DIVBYZERO for 0 + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half log(half arg) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(std::log(detail::half2float(arg.data_)))); + #else + int abs = arg.data_ & 0x7FFF, exp = -15; + if(!abs) + return half(detail::binary, detail::pole(0x8000)); + if(arg.data_ & 0x8000) + return half(detail::binary, (arg.data_<=0xFC00) ? detail::invalid() : detail::signal(arg.data_)); + if(abs >= 0x7C00) + return (abs==0x7C00) ? arg : half(detail::binary, detail::signal(arg.data_)); + for(; abs<0x400; abs<<=1,--exp) ; + exp += abs >> 10; + return half(detail::binary, detail::log2_post( + detail::log2(static_cast((abs&0x3FF)|0x400)<<20, 27)+8, exp, 17)); + #endif + } + + /// Common logarithm. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::log10](https://en.cppreference.com/w/cpp/numeric/math/log10). + /// \param arg function argument + /// \return logarithm of \a arg to base 10 + /// \exception FE_INVALID for signaling NaN or negative argument + /// \exception FE_DIVBYZERO for 0 + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half log10(half arg) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(std::log10(detail::half2float(arg.data_)))); + #else + int abs = arg.data_ & 0x7FFF, exp = -15; + if(!abs) + return half(detail::binary, detail::pole(0x8000)); + if(arg.data_ & 0x8000) + return half(detail::binary, (arg.data_<=0xFC00) ? detail::invalid() : detail::signal(arg.data_)); + if(abs >= 0x7C00) + return (abs==0x7C00) ? arg : half(detail::binary, detail::signal(arg.data_)); + switch(abs) + { + case 0x4900: return half(detail::binary, 0x3C00); + case 0x5640: return half(detail::binary, 0x4000); + case 0x63D0: return half(detail::binary, 0x4200); + case 0x70E2: return half(detail::binary, 0x4400); + } + for(; abs<0x400; abs<<=1,--exp) ; + exp += abs >> 10; + return half(detail::binary, detail::log2_post( + detail::log2(static_cast((abs&0x3FF)|0x400)<<20, 27)+8, exp, 16)); + #endif + } + + /// Binary logarithm. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::log2](https://en.cppreference.com/w/cpp/numeric/math/log2). + /// \param arg function argument + /// \return logarithm of \a arg to base 2 + /// \exception FE_INVALID for signaling NaN or negative argument + /// \exception FE_DIVBYZERO for 0 + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half log2(half arg) + { + #if defined(HALF_ARITHMETIC_TYPE) && HALF_ENABLE_CPP11_CMATH + return half(detail::binary, detail::float2half(std::log2(detail::half2float(arg.data_)))); + #else + int abs = arg.data_ & 0x7FFF, exp = -15, s = 0; + if(!abs) + return half(detail::binary, detail::pole(0x8000)); + if(arg.data_ & 0x8000) + return half(detail::binary, (arg.data_<=0xFC00) ? detail::invalid() : detail::signal(arg.data_)); + if(abs >= 0x7C00) + return (abs==0x7C00) ? arg : half(detail::binary, detail::signal(arg.data_)); + if(abs == 0x3C00) + return half(detail::binary, 0); + for(; abs<0x400; abs<<=1,--exp) ; + exp += (abs>>10); + if(!(abs&0x3FF)) + { + unsigned int value = static_cast(exp<0) << 15, m = std::abs(exp) << 6; + for(exp=18; m<0x400; m<<=1,--exp) ; + return half(detail::binary, value+(exp<<10)+m); + } + detail::uint32 ilog = exp, sign = detail::sign_mask(ilog), m = + (((ilog<<27)+(detail::log2(static_cast((abs&0x3FF)|0x400)<<20, 28)>>4))^sign) - sign; + if(!m) + return half(detail::binary, 0); + for(exp=14; m<0x8000000 && exp; m<<=1,--exp) ; + for(; m>0xFFFFFFF; m>>=1,++exp) + s |= m & 1; + return half(detail::binary, detail::fixed2half(m, exp, sign&0x8000, s)); + #endif + } + + /// Natural logarithm plus one. + /// This function may be 1 ULP off the correctly rounded exact result in <0.05% of inputs for `std::round_to_nearest` + /// and in ~1% of inputs for any other rounding mode. + /// + /// **See also:** Documentation for [std::log1p](https://en.cppreference.com/w/cpp/numeric/math/log1p). + /// \param arg function argument + /// \return logarithm of \a arg plus 1 to base e + /// \exception FE_INVALID for signaling NaN or argument <-1 + /// \exception FE_DIVBYZERO for -1 + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half log1p(half arg) + { + #if defined(HALF_ARITHMETIC_TYPE) && HALF_ENABLE_CPP11_CMATH + return half(detail::binary, detail::float2half(std::log1p(detail::half2float(arg.data_)))); + #else + if(arg.data_ >= 0xBC00) + return half(detail::binary, (arg.data_==0xBC00) ? detail::pole(0x8000) : (arg.data_<=0xFC00) ? detail::invalid() : detail::signal(arg.data_)); + int abs = arg.data_ & 0x7FFF, exp = -15; + if(!abs || abs >= 0x7C00) + return (abs>0x7C00) ? half(detail::binary, detail::signal(arg.data_)) : arg; + for(; abs<0x400; abs<<=1,--exp) ; + exp += abs >> 10; + detail::uint32 m = static_cast((abs&0x3FF)|0x400) << 20; + if(arg.data_ & 0x8000) + { + m = 0x40000000 - (m>>-exp); + for(exp=0; m<0x40000000; m<<=1,--exp) ; + } + else + { + if(exp < 0) + { + m = 0x40000000 + (m>>-exp); + exp = 0; + } + else + { + m += 0x40000000 >> exp; + int i = m >> 31; + m >>= i; + exp += i; + } + } + return half(detail::binary, detail::log2_post(detail::log2(m), exp, 17)); + #endif + } + + /// \} + /// \anchor power + /// \name Power functions + /// \{ + + /// Square root. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::sqrt](https://en.cppreference.com/w/cpp/numeric/math/sqrt). + /// \param arg function argument + /// \return square root of \a arg + /// \exception FE_INVALID for signaling NaN and negative arguments + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half sqrt(half arg) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(std::sqrt(detail::half2float(arg.data_)))); + #else + int abs = arg.data_ & 0x7FFF, exp = 15; + if(!abs || arg.data_ >= 0x7C00) + return half(detail::binary, (abs>0x7C00) ? detail::signal(arg.data_) : (arg.data_>0x8000) ? detail::invalid() : arg.data_); + for(; abs<0x400; abs<<=1,--exp) ; + detail::uint32 r = static_cast((abs&0x3FF)|0x400) << 10, m = detail::sqrt<20>(r, exp+=abs>>10); + return half(detail::binary, detail::rounded((exp<<10)+(m&0x3FF), r>m, r!=0)); + #endif + } + + /// Cubic root. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::cbrt](https://en.cppreference.com/w/cpp/numeric/math/cbrt). + /// \param arg function argument + /// \return cubic root of \a arg + /// \exception FE_INVALID for signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half cbrt(half arg) + { + #if defined(HALF_ARITHMETIC_TYPE) && HALF_ENABLE_CPP11_CMATH + return half(detail::binary, detail::float2half(std::cbrt(detail::half2float(arg.data_)))); + #else + int abs = arg.data_ & 0x7FFF, exp = -15; + if(!abs || abs == 0x3C00 || abs >= 0x7C00) + return (abs>0x7C00) ? half(detail::binary, detail::signal(arg.data_)) : arg; + for(; abs<0x400; abs<<=1, --exp); + detail::uint32 ilog = exp + (abs>>10), sign = detail::sign_mask(ilog), f, m = + (((ilog<<27)+(detail::log2(static_cast((abs&0x3FF)|0x400)<<20, 24)>>4))^sign) - sign; + for(exp=2; m<0x80000000; m<<=1,--exp) ; + m = detail::multiply64(m, 0xAAAAAAAB); + int i = m >> 31, s; + exp += i; + m <<= 1 - i; + if(exp < 0) + { + f = m >> -exp; + exp = 0; + } + else + { + f = (m<> (31-exp); + } + m = detail::exp2(f, (half::round_style==std::round_to_nearest) ? 29 : 26); + if(sign) + { + if(m > 0x80000000) + { + m = detail::divide64(0x80000000, m, s); + ++exp; + } + exp = -exp; + } + return half(detail::binary, (half::round_style==std::round_to_nearest) ? + detail::fixed2half(m, exp+14, arg.data_&0x8000) : + detail::fixed2half((m+0x80)>>8, exp+14, arg.data_&0x8000)); + #endif + } + + /// Hypotenuse function. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::hypot](https://en.cppreference.com/w/cpp/numeric/math/hypot). + /// \param x first argument + /// \param y second argument + /// \return square root of sum of squares without internal over- or underflows + /// \exception FE_INVALID if \a x or \a y is signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding of the final square root + inline half hypot(half x, half y) + { + #ifdef HALF_ARITHMETIC_TYPE + detail::internal_t fx = detail::half2float(x.data_), fy = detail::half2float(y.data_); + #if HALF_ENABLE_CPP11_CMATH + return half(detail::binary, detail::float2half(std::hypot(fx, fy))); + #else + return half(detail::binary, detail::float2half(std::sqrt(fx*fx+fy*fy))); + #endif + #else + int absx = x.data_ & 0x7FFF, absy = y.data_ & 0x7FFF, expx = 0, expy = 0; + if(absx >= 0x7C00 || absy >= 0x7C00) + return half(detail::binary, (absx==0x7C00) ? detail::select(0x7C00, y.data_) : + (absy==0x7C00) ? detail::select(0x7C00, x.data_) : detail::signal(x.data_, y.data_)); + if(!absx) + return half(detail::binary, absy ? detail::check_underflow(absy) : 0); + if(!absy) + return half(detail::binary, detail::check_underflow(absx)); + if(absy > absx) + std::swap(absx, absy); + for(; absx<0x400; absx<<=1,--expx) ; + for(; absy<0x400; absy<<=1,--expy) ; + detail::uint32 mx = (absx&0x3FF) | 0x400, my = (absy&0x3FF) | 0x400; + mx *= mx; + my *= my; + int ix = mx >> 21, iy = my >> 21; + expx = 2*(expx+(absx>>10)) - 15 + ix; + expy = 2*(expy+(absy>>10)) - 15 + iy; + mx <<= 10 - ix; + my <<= 10 - iy; + int d = expx - expy; + my = (d<30) ? ((my>>d)|((my&((static_cast(1)<(mx+my, expx)); + #endif + } + + /// Hypotenuse function. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::hypot](https://en.cppreference.com/w/cpp/numeric/math/hypot). + /// \param x first argument + /// \param y second argument + /// \param z third argument + /// \return square root of sum of squares without internal over- or underflows + /// \exception FE_INVALID if \a x, \a y or \a z is signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding of the final square root + inline half hypot(half x, half y, half z) + { + #ifdef HALF_ARITHMETIC_TYPE + detail::internal_t fx = detail::half2float(x.data_), fy = detail::half2float(y.data_), fz = detail::half2float(z.data_); + return half(detail::binary, detail::float2half(std::sqrt(fx*fx+fy*fy+fz*fz))); + #else + int absx = x.data_ & 0x7FFF, absy = y.data_ & 0x7FFF, absz = z.data_ & 0x7FFF, expx = 0, expy = 0, expz = 0; + if(!absx) + return hypot(y, z); + if(!absy) + return hypot(x, z); + if(!absz) + return hypot(x, y); + if(absx >= 0x7C00 || absy >= 0x7C00 || absz >= 0x7C00) + return half(detail::binary, (absx==0x7C00) ? detail::select(0x7C00, detail::select(y.data_, z.data_)) : + (absy==0x7C00) ? detail::select(0x7C00, detail::select(x.data_, z.data_)) : + (absz==0x7C00) ? detail::select(0x7C00, detail::select(x.data_, y.data_)) : + detail::signal(x.data_, y.data_, z.data_)); + if(absz > absy) + std::swap(absy, absz); + if(absy > absx) + std::swap(absx, absy); + if(absz > absy) + std::swap(absy, absz); + for(; absx<0x400; absx<<=1,--expx) ; + for(; absy<0x400; absy<<=1,--expy) ; + for(; absz<0x400; absz<<=1,--expz) ; + detail::uint32 mx = (absx&0x3FF) | 0x400, my = (absy&0x3FF) | 0x400, mz = (absz&0x3FF) | 0x400; + mx *= mx; + my *= my; + mz *= mz; + int ix = mx >> 21, iy = my >> 21, iz = mz >> 21; + expx = 2*(expx+(absx>>10)) - 15 + ix; + expy = 2*(expy+(absy>>10)) - 15 + iy; + expz = 2*(expz+(absz>>10)) - 15 + iz; + mx <<= 10 - ix; + my <<= 10 - iy; + mz <<= 10 - iz; + int d = expy - expz; + mz = (d<30) ? ((mz>>d)|((mz&((static_cast(1)<>1) | (my&1); + if(++expy > expx) + { + std::swap(mx, my); + std::swap(expx, expy); + } + } + d = expx - expy; + my = (d<30) ? ((my>>d)|((my&((static_cast(1)<(mx+my, expx)); + #endif + } + + /// Power function. + /// This function may be 1 ULP off the correctly rounded exact result for any rounding mode in ~0.00025% of inputs. + /// + /// **See also:** Documentation for [std::pow](https://en.cppreference.com/w/cpp/numeric/math/pow). + /// \param x base + /// \param y exponent + /// \return \a x raised to \a y + /// \exception FE_INVALID if \a x or \a y is signaling NaN or if \a x is finite an negative and \a y is finite and not integral + /// \exception FE_DIVBYZERO if \a x is 0 and \a y is negative + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half pow(half x, half y) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(std::pow(detail::half2float(x.data_), detail::half2float(y.data_)))); + #else + int absx = x.data_ & 0x7FFF, absy = y.data_ & 0x7FFF, exp = -15; + if(!absy || x.data_ == 0x3C00) + return half(detail::binary, detail::select(0x3C00, (x.data_==0x3C00) ? y.data_ : x.data_)); + bool is_int = absy >= 0x6400 || (absy>=0x3C00 && !(absy&((1<<(25-(absy>>10)))-1))); + unsigned int sign = x.data_ & (static_cast((absy<0x6800)&&is_int&&((absy>>(25-(absy>>10)))&1))<<15); + if(absx >= 0x7C00 || absy >= 0x7C00) + return half(detail::binary, (absx>0x7C00 || absy>0x7C00) ? detail::signal(x.data_, y.data_) : + (absy==0x7C00) ? ((absx==0x3C00) ? 0x3C00 : (!absx && y.data_==0xFC00) ? detail::pole() : + (0x7C00&-((y.data_>>15)^(absx>0x3C00)))) : (sign|(0x7C00&((y.data_>>15)-1U)))); + if(!absx) + return half(detail::binary, (y.data_&0x8000) ? detail::pole(sign) : sign); + if((x.data_&0x8000) && !is_int) + return half(detail::binary, detail::invalid()); + if(x.data_ == 0xBC00) + return half(detail::binary, sign|0x3C00); + if(y.data_ == 0x3800) + return sqrt(x); + if(y.data_ == 0x3C00) + return half(detail::binary, detail::check_underflow(x.data_)); + if(y.data_ == 0x4000) + return x * x; + for(; absx<0x400; absx<<=1,--exp) ; + detail::uint32 ilog = exp + (absx>>10), msign = detail::sign_mask(ilog), f, m = + (((ilog<<27)+((detail::log2(static_cast((absx&0x3FF)|0x400)<<20)+8)>>4))^msign) - msign; + for(exp=-11; m<0x80000000; m<<=1,--exp) ; + for(; absy<0x400; absy<<=1,--exp) ; + m = detail::multiply64(m, static_cast((absy&0x3FF)|0x400)<<21); + int i = m >> 31; + exp += (absy>>10) + i; + m <<= 1 - i; + if(exp < 0) + { + f = m >> -exp; + exp = 0; + } + else + { + f = (m<> (31-exp); + } + return half(detail::binary, detail::exp2_post(detail::exp2(f), exp, ((msign&1)^(y.data_>>15))!=0, sign)); + #endif + } + + /// \} + /// \anchor trigonometric + /// \name Trigonometric functions + /// \{ + + /// Compute sine and cosine simultaneously. + /// This returns the same results as sin() and cos() but is faster than calling each function individually. + /// + /// This function is exact to rounding for all rounding modes. + /// \param arg function argument + /// \param sin variable to take sine of \a arg + /// \param cos variable to take cosine of \a arg + /// \exception FE_INVALID for signaling NaN or infinity + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline void sincos(half arg, half *sin, half *cos) + { + #ifdef HALF_ARITHMETIC_TYPE + detail::internal_t f = detail::half2float(arg.data_); + *sin = half(detail::binary, detail::float2half(std::sin(f))); + *cos = half(detail::binary, detail::float2half(std::cos(f))); + #else + int abs = arg.data_ & 0x7FFF, sign = arg.data_ >> 15, k; + if(abs >= 0x7C00) + *sin = *cos = half(detail::binary, (abs==0x7C00) ? detail::invalid() : detail::signal(arg.data_)); + else if(!abs) + { + *sin = arg; + *cos = half(detail::binary, 0x3C00); + } + else if(abs < 0x2500) + { + *sin = half(detail::binary, detail::rounded(arg.data_-1, 1, 1)); + *cos = half(detail::binary, detail::rounded(0x3BFF, 1, 1)); + } + else + { + if(half::round_style != std::round_to_nearest) + { + switch(abs) + { + case 0x48B7: + *sin = half(detail::binary, detail::rounded((~arg.data_&0x8000)|0x1D07, 1, 1)); + *cos = half(detail::binary, detail::rounded(0xBBFF, 1, 1)); + return; + case 0x598C: + *sin = half(detail::binary, detail::rounded((arg.data_&0x8000)|0x3BFF, 1, 1)); + *cos = half(detail::binary, detail::rounded(0x80FC, 1, 1)); + return; + case 0x6A64: + *sin = half(detail::binary, detail::rounded((~arg.data_&0x8000)|0x3BFE, 1, 1)); + *cos = half(detail::binary, detail::rounded(0x27FF, 1, 1)); + return; + case 0x6D8C: + *sin = half(detail::binary, detail::rounded((arg.data_&0x8000)|0x0FE6, 1, 1)); + *cos = half(detail::binary, detail::rounded(0x3BFF, 1, 1)); + return; + } + } + std::pair sc = detail::sincos(detail::angle_arg(abs, k), 28); + switch(k & 3) + { + case 1: sc = std::make_pair(sc.second, -sc.first); break; + case 2: sc = std::make_pair(-sc.first, -sc.second); break; + case 3: sc = std::make_pair(-sc.second, sc.first); break; + } + *sin = half(detail::binary, detail::fixed2half((sc.first^-static_cast(sign))+sign)); + *cos = half(detail::binary, detail::fixed2half(sc.second)); + } + #endif + } + + /// Sine function. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::sin](https://en.cppreference.com/w/cpp/numeric/math/sin). + /// \param arg function argument + /// \return sine value of \a arg + /// \exception FE_INVALID for signaling NaN or infinity + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half sin(half arg) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(std::sin(detail::half2float(arg.data_)))); + #else + int abs = arg.data_ & 0x7FFF, k; + if(!abs) + return arg; + if(abs >= 0x7C00) + return half(detail::binary, (abs==0x7C00) ? detail::invalid() : detail::signal(arg.data_)); + if(abs < 0x2900) + return half(detail::binary, detail::rounded(arg.data_-1, 1, 1)); + if(half::round_style != std::round_to_nearest) + switch(abs) + { + case 0x48B7: return half(detail::binary, detail::rounded((~arg.data_&0x8000)|0x1D07, 1, 1)); + case 0x6A64: return half(detail::binary, detail::rounded((~arg.data_&0x8000)|0x3BFE, 1, 1)); + case 0x6D8C: return half(detail::binary, detail::rounded((arg.data_&0x8000)|0x0FE6, 1, 1)); + } + std::pair sc = detail::sincos(detail::angle_arg(abs, k), 28); + detail::uint32 sign = -static_cast(((k>>1)&1)^(arg.data_>>15)); + return half(detail::binary, detail::fixed2half((((k&1) ? sc.second : sc.first)^sign) - sign)); + #endif + } + + /// Cosine function. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::cos](https://en.cppreference.com/w/cpp/numeric/math/cos). + /// \param arg function argument + /// \return cosine value of \a arg + /// \exception FE_INVALID for signaling NaN or infinity + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half cos(half arg) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(std::cos(detail::half2float(arg.data_)))); + #else + int abs = arg.data_ & 0x7FFF, k; + if(!abs) + return half(detail::binary, 0x3C00); + if(abs >= 0x7C00) + return half(detail::binary, (abs==0x7C00) ? detail::invalid() : detail::signal(arg.data_)); + if(abs < 0x2500) + return half(detail::binary, detail::rounded(0x3BFF, 1, 1)); + if(half::round_style != std::round_to_nearest && abs == 0x598C) + return half(detail::binary, detail::rounded(0x80FC, 1, 1)); + std::pair sc = detail::sincos(detail::angle_arg(abs, k), 28); + detail::uint32 sign = -static_cast(((k>>1)^k)&1); + return half(detail::binary, detail::fixed2half((((k&1) ? sc.first : sc.second)^sign) - sign)); + #endif + } + + /// Tangent function. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::tan](https://en.cppreference.com/w/cpp/numeric/math/tan). + /// \param arg function argument + /// \return tangent value of \a arg + /// \exception FE_INVALID for signaling NaN or infinity + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half tan(half arg) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(std::tan(detail::half2float(arg.data_)))); + #else + int abs = arg.data_ & 0x7FFF, exp = 13, k; + if(!abs) + return arg; + if(abs >= 0x7C00) + return half(detail::binary, (abs==0x7C00) ? detail::invalid() : detail::signal(arg.data_)); + if(abs < 0x2700) + return half(detail::binary, detail::rounded(arg.data_, 0, 1)); + if(half::round_style != std::round_to_nearest) + switch(abs) + { + case 0x658C: return half(detail::binary, detail::rounded((arg.data_&0x8000)|0x07E6, 1, 1)); + case 0x7330: return half(detail::binary, detail::rounded((~arg.data_&0x8000)|0x4B62, 1, 1)); + } + std::pair sc = detail::sincos(detail::angle_arg(abs, k), 30); + if(k & 1) + sc = std::make_pair(-sc.second, sc.first); + detail::uint32 signy = detail::sign_mask(sc.first), signx = detail::sign_mask(sc.second); + detail::uint32 my = (sc.first^signy) - signy, mx = (sc.second^signx) - signx; + for(; my<0x80000000; my<<=1,--exp) ; + for(; mx<0x80000000; mx<<=1,++exp) ; + return half(detail::binary, detail::tangent_post(my, mx, exp, (signy^signx^arg.data_)&0x8000)); + #endif + } + + /// Arc sine. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::asin](https://en.cppreference.com/w/cpp/numeric/math/asin). + /// \param arg function argument + /// \return arc sine value of \a arg + /// \exception FE_INVALID for signaling NaN or if abs(\a arg) > 1 + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half asin(half arg) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(std::asin(detail::half2float(arg.data_)))); + #else + unsigned int abs = arg.data_ & 0x7FFF, sign = arg.data_ & 0x8000; + if(!abs) + return arg; + if(abs >= 0x3C00) + return half(detail::binary, (abs>0x7C00) ? detail::signal(arg.data_) : (abs>0x3C00) ? detail::invalid() : + detail::rounded(sign|0x3E48, 0, 1)); + if(abs < 0x2900) + return half(detail::binary, detail::rounded(arg.data_, 0, 1)); + if(half::round_style != std::round_to_nearest && (abs == 0x2B44 || abs == 0x2DC3)) + return half(detail::binary, detail::rounded(arg.data_+1, 1, 1)); + std::pair sc = detail::atan2_args(abs); + detail::uint32 m = detail::atan2(sc.first, sc.second, (half::round_style==std::round_to_nearest) ? 27 : 26); + return half(detail::binary, detail::fixed2half(m, 14, sign)); + #endif + } + + /// Arc cosine function. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::acos](https://en.cppreference.com/w/cpp/numeric/math/acos). + /// \param arg function argument + /// \return arc cosine value of \a arg + /// \exception FE_INVALID for signaling NaN or if abs(\a arg) > 1 + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half acos(half arg) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(std::acos(detail::half2float(arg.data_)))); + #else + unsigned int abs = arg.data_ & 0x7FFF, sign = arg.data_ >> 15; + if(!abs) + return half(detail::binary, detail::rounded(0x3E48, 0, 1)); + if(abs >= 0x3C00) + return half(detail::binary, (abs>0x7C00) ? detail::signal(arg.data_) : (abs>0x3C00) ? detail::invalid() : + sign ? detail::rounded(0x4248, 0, 1) : 0); + std::pair cs = detail::atan2_args(abs); + detail::uint32 m = detail::atan2(cs.second, cs.first, 28); + return half(detail::binary, detail::fixed2half(sign ? (0xC90FDAA2-m) : m, 15, 0, sign)); + #endif + } + + /// Arc tangent function. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::atan](https://en.cppreference.com/w/cpp/numeric/math/atan). + /// \param arg function argument + /// \return arc tangent value of \a arg + /// \exception FE_INVALID for signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half atan(half arg) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(std::atan(detail::half2float(arg.data_)))); + #else + unsigned int abs = arg.data_ & 0x7FFF, sign = arg.data_ & 0x8000; + if(!abs) + return arg; + if(abs >= 0x7C00) + return half(detail::binary, (abs==0x7C00) ? detail::rounded(sign|0x3E48, 0, 1) : detail::signal(arg.data_)); + if(abs <= 0x2700) + return half(detail::binary, detail::rounded(arg.data_-1, 1, 1)); + int exp = (abs>>10) + (abs<=0x3FF); + detail::uint32 my = (abs&0x3FF) | ((abs>0x3FF)<<10); + detail::uint32 m = (exp>15) ? detail::atan2(my<<19, 0x20000000>>(exp-15), (half::round_style==std::round_to_nearest) ? 26 : 24) : + detail::atan2(my<<(exp+4), 0x20000000, (half::round_style==std::round_to_nearest) ? 30 : 28); + return half(detail::binary, detail::fixed2half(m, 14, sign)); + #endif + } + + /// Arc tangent function. + /// This function may be 1 ULP off the correctly rounded exact result in ~0.005% of inputs for `std::round_to_nearest`, + /// in ~0.1% of inputs for `std::round_toward_zero` and in ~0.02% of inputs for any other rounding mode. + /// + /// **See also:** Documentation for [std::atan2](https://en.cppreference.com/w/cpp/numeric/math/atan2). + /// \param y numerator + /// \param x denominator + /// \return arc tangent value + /// \exception FE_INVALID if \a x or \a y is signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half atan2(half y, half x) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(std::atan2(detail::half2float(y.data_), detail::half2float(x.data_)))); + #else + unsigned int absx = x.data_ & 0x7FFF, absy = y.data_ & 0x7FFF, signx = x.data_ >> 15, signy = y.data_ & 0x8000; + if(absx >= 0x7C00 || absy >= 0x7C00) + { + if(absx > 0x7C00 || absy > 0x7C00) + return half(detail::binary, detail::signal(x.data_, y.data_)); + if(absy == 0x7C00) + return half(detail::binary, (absx<0x7C00) ? detail::rounded(signy|0x3E48, 0, 1) : + signx ? detail::rounded(signy|0x40B6, 0, 1) : + detail::rounded(signy|0x3A48, 0, 1)); + return (x.data_==0x7C00) ? half(detail::binary, signy) : half(detail::binary, detail::rounded(signy|0x4248, 0, 1)); + } + if(!absy) + return signx ? half(detail::binary, detail::rounded(signy|0x4248, 0, 1)) : y; + if(!absx) + return half(detail::binary, detail::rounded(signy|0x3E48, 0, 1)); + int d = (absy>>10) + (absy<=0x3FF) - (absx>>10) - (absx<=0x3FF); + if(d > (signx ? 18 : 12)) + return half(detail::binary, detail::rounded(signy|0x3E48, 0, 1)); + if(signx && d < -11) + return half(detail::binary, detail::rounded(signy|0x4248, 0, 1)); + if(!signx && d < ((half::round_style==std::round_toward_zero) ? -15 : -9)) + { + for(; absy<0x400; absy<<=1,--d) ; + detail::uint32 mx = ((absx<<1)&0x7FF) | 0x800, my = ((absy<<1)&0x7FF) | 0x800; + int i = my < mx; + d -= i; + if(d < -25) + return half(detail::binary, detail::underflow(signy)); + my <<= 11 + i; + return half(detail::binary, detail::fixed2half(my/mx, d+14, signy, my%mx!=0)); + } + detail::uint32 m = detail::atan2( ((absy&0x3FF)|((absy>0x3FF)<<10))<<(19+((d<0) ? d : (d>0) ? 0 : -1)), + ((absx&0x3FF)|((absx>0x3FF)<<10))<<(19-((d>0) ? d : (d<0) ? 0 : 1))); + return half(detail::binary, detail::fixed2half(signx ? (0xC90FDAA2-m) : m, 15, signy, signx)); + #endif + } + + /// \} + /// \anchor hyperbolic + /// \name Hyperbolic functions + /// \{ + + /// Hyperbolic sine. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::sinh](https://en.cppreference.com/w/cpp/numeric/math/sinh). + /// \param arg function argument + /// \return hyperbolic sine value of \a arg + /// \exception FE_INVALID for signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half sinh(half arg) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(std::sinh(detail::half2float(arg.data_)))); + #else + int abs = arg.data_ & 0x7FFF, exp; + if(!abs || abs >= 0x7C00) + return (abs>0x7C00) ? half(detail::binary, detail::signal(arg.data_)) : arg; + if(abs <= 0x2900) + return half(detail::binary, detail::rounded(arg.data_, 0, 1)); + std::pair mm = detail::hyperbolic_args(abs, exp, (half::round_style==std::round_to_nearest) ? 29 : 27); + detail::uint32 m = mm.first - mm.second; + for(exp+=13; m<0x80000000 && exp; m<<=1,--exp) ; + unsigned int sign = arg.data_ & 0x8000; + if(exp > 29) + return half(detail::binary, detail::overflow(sign)); + return half(detail::binary, detail::fixed2half(m, exp, sign)); + #endif + } + + /// Hyperbolic cosine. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::cosh](https://en.cppreference.com/w/cpp/numeric/math/cosh). + /// \param arg function argument + /// \return hyperbolic cosine value of \a arg + /// \exception FE_INVALID for signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half cosh(half arg) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(std::cosh(detail::half2float(arg.data_)))); + #else + int abs = arg.data_ & 0x7FFF, exp; + if(!abs) + return half(detail::binary, 0x3C00); + if(abs >= 0x7C00) + return half(detail::binary, (abs>0x7C00) ? detail::signal(arg.data_) : 0x7C00); + std::pair mm = detail::hyperbolic_args(abs, exp, (half::round_style==std::round_to_nearest) ? 23 : 26); + detail::uint32 m = mm.first + mm.second, i = (~m&0xFFFFFFFF) >> 31; + m = (m>>i) | (m&i) | 0x80000000; + if((exp+=13+i) > 29) + return half(detail::binary, detail::overflow()); + return half(detail::binary, detail::fixed2half(m, exp)); + #endif + } + + /// Hyperbolic tangent. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::tanh](https://en.cppreference.com/w/cpp/numeric/math/tanh). + /// \param arg function argument + /// \return hyperbolic tangent value of \a arg + /// \exception FE_INVALID for signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half tanh(half arg) + { + #ifdef HALF_ARITHMETIC_TYPE + return half(detail::binary, detail::float2half(std::tanh(detail::half2float(arg.data_)))); + #else + int abs = arg.data_ & 0x7FFF, exp; + if(!abs) + return arg; + if(abs >= 0x7C00) + return half(detail::binary, (abs>0x7C00) ? detail::signal(arg.data_) : (arg.data_-0x4000)); + if(abs >= 0x4500) + return half(detail::binary, detail::rounded((arg.data_&0x8000)|0x3BFF, 1, 1)); + if(abs < 0x2700) + return half(detail::binary, detail::rounded(arg.data_-1, 1, 1)); + if(half::round_style != std::round_to_nearest && abs == 0x2D3F) + return half(detail::binary, detail::rounded(arg.data_-3, 0, 1)); + std::pair mm = detail::hyperbolic_args(abs, exp, 27); + detail::uint32 my = mm.first - mm.second - (half::round_style!=std::round_to_nearest), mx = mm.first + mm.second, i = (~mx&0xFFFFFFFF) >> 31; + for(exp=13; my<0x80000000; my<<=1,--exp) ; + mx = (mx>>i) | 0x80000000; + return half(detail::binary, detail::tangent_post(my, mx, exp-i, arg.data_&0x8000)); + #endif + } + + /// Hyperbolic area sine. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::asinh](https://en.cppreference.com/w/cpp/numeric/math/asinh). + /// \param arg function argument + /// \return area sine value of \a arg + /// \exception FE_INVALID for signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half asinh(half arg) + { + #if defined(HALF_ARITHMETIC_TYPE) && HALF_ENABLE_CPP11_CMATH + return half(detail::binary, detail::float2half(std::asinh(detail::half2float(arg.data_)))); + #else + int abs = arg.data_ & 0x7FFF; + if(!abs || abs >= 0x7C00) + return (abs>0x7C00) ? half(detail::binary, detail::signal(arg.data_)) : arg; + if(abs <= 0x2900) + return half(detail::binary, detail::rounded(arg.data_-1, 1, 1)); + if(half::round_style != std::round_to_nearest) + switch(abs) + { + case 0x32D4: return half(detail::binary, detail::rounded(arg.data_-13, 1, 1)); + case 0x3B5B: return half(detail::binary, detail::rounded(arg.data_-197, 1, 1)); + } + return half(detail::binary, detail::area(arg.data_)); + #endif + } + + /// Hyperbolic area cosine. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::acosh](https://en.cppreference.com/w/cpp/numeric/math/acosh). + /// \param arg function argument + /// \return area cosine value of \a arg + /// \exception FE_INVALID for signaling NaN or arguments <1 + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half acosh(half arg) + { + #if defined(HALF_ARITHMETIC_TYPE) && HALF_ENABLE_CPP11_CMATH + return half(detail::binary, detail::float2half(std::acosh(detail::half2float(arg.data_)))); + #else + int abs = arg.data_ & 0x7FFF; + if((arg.data_&0x8000) || abs < 0x3C00) + return half(detail::binary, (abs<=0x7C00) ? detail::invalid() : detail::signal(arg.data_)); + if(abs == 0x3C00) + return half(detail::binary, 0); + if(arg.data_ >= 0x7C00) + return (abs>0x7C00) ? half(detail::binary, detail::signal(arg.data_)) : arg; + return half(detail::binary, detail::area(arg.data_)); + #endif + } + + /// Hyperbolic area tangent. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::atanh](https://en.cppreference.com/w/cpp/numeric/math/atanh). + /// \param arg function argument + /// \return area tangent value of \a arg + /// \exception FE_INVALID for signaling NaN or if abs(\a arg) > 1 + /// \exception FE_DIVBYZERO for +/-1 + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half atanh(half arg) + { + #if defined(HALF_ARITHMETIC_TYPE) && HALF_ENABLE_CPP11_CMATH + return half(detail::binary, detail::float2half(std::atanh(detail::half2float(arg.data_)))); + #else + int abs = arg.data_ & 0x7FFF, exp = 0; + if(!abs) + return arg; + if(abs >= 0x3C00) + return half(detail::binary, (abs==0x3C00) ? detail::pole(arg.data_&0x8000) : (abs<=0x7C00) ? detail::invalid() : detail::signal(arg.data_)); + if(abs < 0x2700) + return half(detail::binary, detail::rounded(arg.data_, 0, 1)); + detail::uint32 m = static_cast((abs&0x3FF)|((abs>0x3FF)<<10)) << ((abs>>10)+(abs<=0x3FF)+6), my = 0x80000000 + m, mx = 0x80000000 - m; + for(; mx<0x80000000; mx<<=1,++exp) ; + int i = my >= mx, s; + return half(detail::binary, detail::log2_post(detail::log2( + (detail::divide64(my>>i, mx, s)+1)>>1, 27)+0x10, exp+i-1, 16, arg.data_&0x8000)); + #endif + } + + /// \} + /// \anchor special + /// \name Error and gamma functions + /// \{ + + /// Error function. + /// This function may be 1 ULP off the correctly rounded exact result for any rounding mode in <0.5% of inputs. + /// + /// **See also:** Documentation for [std::erf](https://en.cppreference.com/w/cpp/numeric/math/erf). + /// \param arg function argument + /// \return error function value of \a arg + /// \exception FE_INVALID for signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half erf(half arg) + { + #if defined(HALF_ARITHMETIC_TYPE) && HALF_ENABLE_CPP11_CMATH + return half(detail::binary, detail::float2half(std::erf(detail::half2float(arg.data_)))); + #else + unsigned int abs = arg.data_ & 0x7FFF; + if(!abs || abs >= 0x7C00) + return (abs>=0x7C00) ? half(detail::binary, (abs==0x7C00) ? (arg.data_-0x4000) : detail::signal(arg.data_)) : arg; + if(abs >= 0x4200) + return half(detail::binary, detail::rounded((arg.data_&0x8000)|0x3BFF, 1, 1)); + return half(detail::binary, detail::erf(arg.data_)); + #endif + } + + /// Complementary error function. + /// This function may be 1 ULP off the correctly rounded exact result for any rounding mode in <0.5% of inputs. + /// + /// **See also:** Documentation for [std::erfc](https://en.cppreference.com/w/cpp/numeric/math/erfc). + /// \param arg function argument + /// \return 1 minus error function value of \a arg + /// \exception FE_INVALID for signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half erfc(half arg) + { + #if defined(HALF_ARITHMETIC_TYPE) && HALF_ENABLE_CPP11_CMATH + return half(detail::binary, detail::float2half(std::erfc(detail::half2float(arg.data_)))); + #else + unsigned int abs = arg.data_ & 0x7FFF, sign = arg.data_ & 0x8000; + if(abs >= 0x7C00) + return (abs>=0x7C00) ? half(detail::binary, (abs==0x7C00) ? (sign>>1) : detail::signal(arg.data_)) : arg; + if(!abs) + return half(detail::binary, 0x3C00); + if(abs >= 0x4400) + return half(detail::binary, detail::rounded((sign>>1)-(sign>>15), sign>>15, 1)); + return half(detail::binary, detail::erf(arg.data_)); + #endif + } + + /// Natural logarithm of gamma function. + /// This function may be 1 ULP off the correctly rounded exact result for any rounding mode in ~0.025% of inputs. + /// + /// **See also:** Documentation for [std::lgamma](https://en.cppreference.com/w/cpp/numeric/math/lgamma). + /// \param arg function argument + /// \return natural logarith of gamma function for \a arg + /// \exception FE_INVALID for signaling NaN + /// \exception FE_DIVBYZERO for 0 or negative integer arguments + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half lgamma(half arg) + { + #if defined(HALF_ARITHMETIC_TYPE) && HALF_ENABLE_CPP11_CMATH + return half(detail::binary, detail::float2half(std::lgamma(detail::half2float(arg.data_)))); + #else + int abs = arg.data_ & 0x7FFF; + if(abs >= 0x7C00) + return half(detail::binary, (abs==0x7C00) ? 0x7C00 : detail::signal(arg.data_)); + if(!abs || arg.data_ >= 0xE400 || (arg.data_ >= 0xBC00 && !(abs&((1<<(25-(abs>>10)))-1)))) + return half(detail::binary, detail::pole()); + if(arg.data_ == 0x3C00 || arg.data_ == 0x4000) + return half(detail::binary, 0); + return half(detail::binary, detail::gamma(arg.data_)); + #endif + } + + /// Gamma function. + /// This function may be 1 ULP off the correctly rounded exact result for any rounding mode in <0.25% of inputs. + /// + /// **See also:** Documentation for [std::tgamma](https://en.cppreference.com/w/cpp/numeric/math/tgamma). + /// \param arg function argument + /// \return gamma function value of \a arg + /// \exception FE_INVALID for signaling NaN, negative infinity or negative integer arguments + /// \exception FE_DIVBYZERO for 0 + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half tgamma(half arg) + { + #if defined(HALF_ARITHMETIC_TYPE) && HALF_ENABLE_CPP11_CMATH + return half(detail::binary, detail::float2half(std::tgamma(detail::half2float(arg.data_)))); + #else + unsigned int abs = arg.data_ & 0x7FFF; + if(!abs) + return half(detail::binary, detail::pole(arg.data_)); + if(abs >= 0x7C00) + return (arg.data_==0x7C00) ? arg : half(detail::binary, detail::signal(arg.data_)); + if(arg.data_ >= 0xE400 || (arg.data_ >= 0xBC00 && !(abs&((1<<(25-(abs>>10)))-1)))) + return half(detail::binary, detail::invalid()); + if(arg.data_ >= 0xCA80) + return half(detail::binary, detail::underflow((1-((abs>>(25-(abs>>10)))&1))<<15)); + if(arg.data_ <= 0x100 || (arg.data_ >= 0x4900 && arg.data_ < 0x8000)) + return half(detail::binary, detail::overflow()); + if(arg.data_ == 0x3C00) + return arg; + return half(detail::binary, detail::gamma(arg.data_)); + #endif + } + + /// \} + /// \anchor rounding + /// \name Rounding + /// \{ + + /// Nearest integer not less than half value. + /// **See also:** Documentation for [std::ceil](https://en.cppreference.com/w/cpp/numeric/math/ceil). + /// \param arg half to round + /// \return nearest integer not less than \a arg + /// \exception FE_INVALID for signaling NaN + /// \exception FE_INEXACT if value had to be rounded + inline half ceil(half arg) { return half(detail::binary, detail::integral(arg.data_)); } + + /// Nearest integer not greater than half value. + /// **See also:** Documentation for [std::floor](https://en.cppreference.com/w/cpp/numeric/math/floor). + /// \param arg half to round + /// \return nearest integer not greater than \a arg + /// \exception FE_INVALID for signaling NaN + /// \exception FE_INEXACT if value had to be rounded + inline half floor(half arg) { return half(detail::binary, detail::integral(arg.data_)); } + + /// Nearest integer not greater in magnitude than half value. + /// **See also:** Documentation for [std::trunc](https://en.cppreference.com/w/cpp/numeric/math/trunc). + /// \param arg half to round + /// \return nearest integer not greater in magnitude than \a arg + /// \exception FE_INVALID for signaling NaN + /// \exception FE_INEXACT if value had to be rounded + inline half trunc(half arg) { return half(detail::binary, detail::integral(arg.data_)); } + + /// Nearest integer. + /// **See also:** Documentation for [std::round](https://en.cppreference.com/w/cpp/numeric/math/round). + /// \param arg half to round + /// \return nearest integer, rounded away from zero in half-way cases + /// \exception FE_INVALID for signaling NaN + /// \exception FE_INEXACT if value had to be rounded + inline half round(half arg) { return half(detail::binary, detail::integral(arg.data_)); } + + /// Nearest integer. + /// **See also:** Documentation for [std::lround](https://en.cppreference.com/w/cpp/numeric/math/round). + /// \param arg half to round + /// \return nearest integer, rounded away from zero in half-way cases + /// \exception FE_INVALID if value is not representable as `long` + inline long lround(half arg) { return detail::half2int(arg.data_); } + + /// Nearest integer using half's internal rounding mode. + /// **See also:** Documentation for [std::rint](https://en.cppreference.com/w/cpp/numeric/math/rint). + /// \param arg half expression to round + /// \return nearest integer using default rounding mode + /// \exception FE_INVALID for signaling NaN + /// \exception FE_INEXACT if value had to be rounded + inline half rint(half arg) { return half(detail::binary, detail::integral(arg.data_)); } + + /// Nearest integer using half's internal rounding mode. + /// **See also:** Documentation for [std::lrint](https://en.cppreference.com/w/cpp/numeric/math/rint). + /// \param arg half expression to round + /// \return nearest integer using default rounding mode + /// \exception FE_INVALID if value is not representable as `long` + /// \exception FE_INEXACT if value had to be rounded + inline long lrint(half arg) { return detail::half2int(arg.data_); } + + /// Nearest integer using half's internal rounding mode. + /// **See also:** Documentation for [std::nearbyint](https://en.cppreference.com/w/cpp/numeric/math/nearbyint). + /// \param arg half expression to round + /// \return nearest integer using default rounding mode + /// \exception FE_INVALID for signaling NaN + inline half nearbyint(half arg) { return half(detail::binary, detail::integral(arg.data_)); } +#if HALF_ENABLE_CPP11_LONG_LONG + /// Nearest integer. + /// **See also:** Documentation for [std::llround](https://en.cppreference.com/w/cpp/numeric/math/round). + /// \param arg half to round + /// \return nearest integer, rounded away from zero in half-way cases + /// \exception FE_INVALID if value is not representable as `long long` + inline long long llround(half arg) { return detail::half2int(arg.data_); } + + /// Nearest integer using half's internal rounding mode. + /// **See also:** Documentation for [std::llrint](https://en.cppreference.com/w/cpp/numeric/math/rint). + /// \param arg half expression to round + /// \return nearest integer using default rounding mode + /// \exception FE_INVALID if value is not representable as `long long` + /// \exception FE_INEXACT if value had to be rounded + inline long long llrint(half arg) { return detail::half2int(arg.data_); } +#endif + + /// \} + /// \anchor float + /// \name Floating point manipulation + /// \{ + + /// Decompress floating-point number. + /// **See also:** Documentation for [std::frexp](https://en.cppreference.com/w/cpp/numeric/math/frexp). + /// \param arg number to decompress + /// \param exp address to store exponent at + /// \return significant in range [0.5, 1) + /// \exception FE_INVALID for signaling NaN + inline half frexp(half arg, int *exp) + { + *exp = 0; + unsigned int abs = arg.data_ & 0x7FFF; + if(abs >= 0x7C00 || !abs) + return (abs>0x7C00) ? half(detail::binary, detail::signal(arg.data_)) : arg; + for(; abs<0x400; abs<<=1,--*exp) ; + *exp += (abs>>10) - 14; + return half(detail::binary, (arg.data_&0x8000)|0x3800|(abs&0x3FF)); + } + + /// Multiply by power of two. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::scalbln](https://en.cppreference.com/w/cpp/numeric/math/scalbn). + /// \param arg number to modify + /// \param exp power of two to multiply with + /// \return \a arg multplied by 2 raised to \a exp + /// \exception FE_INVALID for signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half scalbln(half arg, long exp) + { + unsigned int abs = arg.data_ & 0x7FFF, sign = arg.data_ & 0x8000; + if(abs >= 0x7C00 || !abs) + return (abs>0x7C00) ? half(detail::binary, detail::signal(arg.data_)) : arg; + for(; abs<0x400; abs<<=1,--exp) ; + exp += abs >> 10; + if(exp > 30) + return half(detail::binary, detail::overflow(sign)); + else if(exp < -10) + return half(detail::binary, detail::underflow(sign)); + else if(exp > 0) + return half(detail::binary, sign|(exp<<10)|(abs&0x3FF)); + unsigned int m = (abs&0x3FF) | 0x400; + return half(detail::binary, detail::rounded(sign|(m>>(1-exp)), (m>>-exp)&1, (m&((1<<-exp)-1))!=0)); + } + + /// Multiply by power of two. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::scalbn](https://en.cppreference.com/w/cpp/numeric/math/scalbn). + /// \param arg number to modify + /// \param exp power of two to multiply with + /// \return \a arg multplied by 2 raised to \a exp + /// \exception FE_INVALID for signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half scalbn(half arg, int exp) { return scalbln(arg, exp); } + + /// Multiply by power of two. + /// This function is exact to rounding for all rounding modes. + /// + /// **See also:** Documentation for [std::ldexp](https://en.cppreference.com/w/cpp/numeric/math/ldexp). + /// \param arg number to modify + /// \param exp power of two to multiply with + /// \return \a arg multplied by 2 raised to \a exp + /// \exception FE_INVALID for signaling NaN + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + inline half ldexp(half arg, int exp) { return scalbln(arg, exp); } + + /// Extract integer and fractional parts. + /// **See also:** Documentation for [std::modf](https://en.cppreference.com/w/cpp/numeric/math/modf). + /// \param arg number to decompress + /// \param iptr address to store integer part at + /// \return fractional part + /// \exception FE_INVALID for signaling NaN + inline half modf(half arg, half *iptr) + { + unsigned int abs = arg.data_ & 0x7FFF; + if(abs > 0x7C00) + { + arg = half(detail::binary, detail::signal(arg.data_)); + return *iptr = arg, arg; + } + if(abs >= 0x6400) + return *iptr = arg, half(detail::binary, arg.data_&0x8000); + if(abs < 0x3C00) + return iptr->data_ = arg.data_ & 0x8000, arg; + unsigned int exp = abs >> 10, mask = (1<<(25-exp)) - 1, m = arg.data_ & mask; + iptr->data_ = arg.data_ & ~mask; + if(!m) + return half(detail::binary, arg.data_&0x8000); + for(; m<0x400; m<<=1,--exp) ; + return half(detail::binary, (arg.data_&0x8000)|(exp<<10)|(m&0x3FF)); + } + + /// Extract exponent. + /// **See also:** Documentation for [std::ilogb](https://en.cppreference.com/w/cpp/numeric/math/ilogb). + /// \param arg number to query + /// \return floating-point exponent + /// \retval FP_ILOGB0 for zero + /// \retval FP_ILOGBNAN for NaN + /// \retval INT_MAX for infinity + /// \exception FE_INVALID for 0 or infinite values + inline int ilogb(half arg) + { + int abs = arg.data_ & 0x7FFF, exp; + if(!abs || abs >= 0x7C00) + { + detail::raise(FE_INVALID); + return !abs ? FP_ILOGB0 : (abs==0x7C00) ? INT_MAX : FP_ILOGBNAN; + } + for(exp=(abs>>10)-15; abs<0x200; abs<<=1,--exp) ; + return exp; + } + + /// Extract exponent. + /// **See also:** Documentation for [std::logb](https://en.cppreference.com/w/cpp/numeric/math/logb). + /// \param arg number to query + /// \return floating-point exponent + /// \exception FE_INVALID for signaling NaN + /// \exception FE_DIVBYZERO for 0 + inline half logb(half arg) + { + int abs = arg.data_ & 0x7FFF, exp; + if(!abs) + return half(detail::binary, detail::pole(0x8000)); + if(abs >= 0x7C00) + return half(detail::binary, (abs==0x7C00) ? 0x7C00 : detail::signal(arg.data_)); + for(exp=(abs>>10)-15; abs<0x200; abs<<=1,--exp) ; + unsigned int value = static_cast(exp<0) << 15; + if(exp) + { + unsigned int m = std::abs(exp) << 6; + for(exp=18; m<0x400; m<<=1,--exp) ; + value |= (exp<<10) + m; + } + return half(detail::binary, value); + } + + /// Next representable value. + /// **See also:** Documentation for [std::nextafter](https://en.cppreference.com/w/cpp/numeric/math/nextafter). + /// \param from value to compute next representable value for + /// \param to direction towards which to compute next value + /// \return next representable value after \a from in direction towards \a to + /// \exception FE_INVALID for signaling NaN + /// \exception FE_OVERFLOW for infinite result from finite argument + /// \exception FE_UNDERFLOW for subnormal result + inline half nextafter(half from, half to) + { + int fabs = from.data_ & 0x7FFF, tabs = to.data_ & 0x7FFF; + if(fabs > 0x7C00 || tabs > 0x7C00) + return half(detail::binary, detail::signal(from.data_, to.data_)); + if(from.data_ == to.data_ || !(fabs|tabs)) + return to; + if(!fabs) + { + detail::raise(FE_UNDERFLOW, !HALF_ERRHANDLING_UNDERFLOW_TO_INEXACT); + return half(detail::binary, (to.data_&0x8000)+1); + } + unsigned int out = from.data_ + (((from.data_>>15)^static_cast( + (from.data_^(0x8000|(0x8000-(from.data_>>15))))<(to.data_^(0x8000|(0x8000-(to.data_>>15))))))<<1) - 1; + detail::raise(FE_OVERFLOW, fabs<0x7C00 && (out&0x7C00)==0x7C00); + detail::raise(FE_UNDERFLOW, !HALF_ERRHANDLING_UNDERFLOW_TO_INEXACT && (out&0x7C00)<0x400); + return half(detail::binary, out); + } + + /// Next representable value. + /// **See also:** Documentation for [std::nexttoward](https://en.cppreference.com/w/cpp/numeric/math/nexttoward). + /// \param from value to compute next representable value for + /// \param to direction towards which to compute next value + /// \return next representable value after \a from in direction towards \a to + /// \exception FE_INVALID for signaling NaN + /// \exception FE_OVERFLOW for infinite result from finite argument + /// \exception FE_UNDERFLOW for subnormal result + inline half nexttoward(half from, long double to) + { + int fabs = from.data_ & 0x7FFF; + if(fabs > 0x7C00) + return half(detail::binary, detail::signal(from.data_)); + long double lfrom = static_cast(from); + if(detail::builtin_isnan(to) || lfrom == to) + return half(static_cast(to)); + if(!fabs) + { + detail::raise(FE_UNDERFLOW, !HALF_ERRHANDLING_UNDERFLOW_TO_INEXACT); + return half(detail::binary, (static_cast(detail::builtin_signbit(to))<<15)+1); + } + unsigned int out = from.data_ + (((from.data_>>15)^static_cast(lfrom 0x7C00; } + + /// Check if normal number. + /// **See also:** Documentation for [std::isnormal](https://en.cppreference.com/w/cpp/numeric/math/isnormal). + /// \param arg number to check + /// \retval true if normal number + /// \retval false if either subnormal, zero, infinity or NaN + inline HALF_CONSTEXPR bool isnormal(half arg) { return ((arg.data_&0x7C00)!=0) & ((arg.data_&0x7C00)!=0x7C00); } + + /// Check sign. + /// **See also:** Documentation for [std::signbit](https://en.cppreference.com/w/cpp/numeric/math/signbit). + /// \param arg number to check + /// \retval true for negative number + /// \retval false for positive number + inline HALF_CONSTEXPR bool signbit(half arg) { return (arg.data_&0x8000) != 0; } + + /// \} + /// \anchor compfunc + /// \name Comparison + /// \{ + + /// Quiet comparison for greater than. + /// **See also:** Documentation for [std::isgreater](https://en.cppreference.com/w/cpp/numeric/math/isgreater). + /// \param x first operand + /// \param y second operand + /// \retval true if \a x greater than \a y + /// \retval false else + inline HALF_CONSTEXPR bool isgreater(half x, half y) + { + return ((x.data_^(0x8000|(0x8000-(x.data_>>15))))+(x.data_>>15)) > ((y.data_^(0x8000|(0x8000-(y.data_>>15))))+(y.data_>>15)) && !isnan(x) && !isnan(y); + } + + /// Quiet comparison for greater equal. + /// **See also:** Documentation for [std::isgreaterequal](https://en.cppreference.com/w/cpp/numeric/math/isgreaterequal). + /// \param x first operand + /// \param y second operand + /// \retval true if \a x greater equal \a y + /// \retval false else + inline HALF_CONSTEXPR bool isgreaterequal(half x, half y) + { + return ((x.data_^(0x8000|(0x8000-(x.data_>>15))))+(x.data_>>15)) >= ((y.data_^(0x8000|(0x8000-(y.data_>>15))))+(y.data_>>15)) && !isnan(x) && !isnan(y); + } + + /// Quiet comparison for less than. + /// **See also:** Documentation for [std::isless](https://en.cppreference.com/w/cpp/numeric/math/isless). + /// \param x first operand + /// \param y second operand + /// \retval true if \a x less than \a y + /// \retval false else + inline HALF_CONSTEXPR bool isless(half x, half y) + { + return ((x.data_^(0x8000|(0x8000-(x.data_>>15))))+(x.data_>>15)) < ((y.data_^(0x8000|(0x8000-(y.data_>>15))))+(y.data_>>15)) && !isnan(x) && !isnan(y); + } + + /// Quiet comparison for less equal. + /// **See also:** Documentation for [std::islessequal](https://en.cppreference.com/w/cpp/numeric/math/islessequal). + /// \param x first operand + /// \param y second operand + /// \retval true if \a x less equal \a y + /// \retval false else + inline HALF_CONSTEXPR bool islessequal(half x, half y) + { + return ((x.data_^(0x8000|(0x8000-(x.data_>>15))))+(x.data_>>15)) <= ((y.data_^(0x8000|(0x8000-(y.data_>>15))))+(y.data_>>15)) && !isnan(x) && !isnan(y); + } + + /// Quiet comarison for less or greater. + /// **See also:** Documentation for [std::islessgreater](https://en.cppreference.com/w/cpp/numeric/math/islessgreater). + /// \param x first operand + /// \param y second operand + /// \retval true if either less or greater + /// \retval false else + inline HALF_CONSTEXPR bool islessgreater(half x, half y) + { + return x.data_!=y.data_ && ((x.data_|y.data_)&0x7FFF) && !isnan(x) && !isnan(y); + } + + /// Quiet check if unordered. + /// **See also:** Documentation for [std::isunordered](https://en.cppreference.com/w/cpp/numeric/math/isunordered). + /// \param x first operand + /// \param y second operand + /// \retval true if unordered (one or two NaN operands) + /// \retval false else + inline HALF_CONSTEXPR bool isunordered(half x, half y) { return isnan(x) || isnan(y); } + + /// \} + /// \anchor casting + /// \name Casting + /// \{ + + /// Cast to or from half-precision floating-point number. + /// This casts between [half](\ref half_float::half) and any built-in arithmetic type. The values are converted + /// directly using the default rounding mode, without any roundtrip over `float` that a `static_cast` would otherwise do. + /// + /// Using this cast with neither of the two types being a [half](\ref half_float::half) or with any of the two types + /// not being a built-in arithmetic type (apart from [half](\ref half_float::half), of course) results in a compiler + /// error and casting between [half](\ref half_float::half)s returns the argument unmodified. + /// \tparam T destination type (half or built-in arithmetic type) + /// \tparam U source type (half or built-in arithmetic type) + /// \param arg value to cast + /// \return \a arg converted to destination type + /// \exception FE_INVALID if \a T is integer type and result is not representable as \a T + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + template T half_cast(U arg) { return detail::half_caster::cast(arg); } + + /// Cast to or from half-precision floating-point number. + /// This casts between [half](\ref half_float::half) and any built-in arithmetic type. The values are converted + /// directly using the specified rounding mode, without any roundtrip over `float` that a `static_cast` would otherwise do. + /// + /// Using this cast with neither of the two types being a [half](\ref half_float::half) or with any of the two types + /// not being a built-in arithmetic type (apart from [half](\ref half_float::half), of course) results in a compiler + /// error and casting between [half](\ref half_float::half)s returns the argument unmodified. + /// \tparam T destination type (half or built-in arithmetic type) + /// \tparam R rounding mode to use. + /// \tparam U source type (half or built-in arithmetic type) + /// \param arg value to cast + /// \return \a arg converted to destination type + /// \exception FE_INVALID if \a T is integer type and result is not representable as \a T + /// \exception FE_OVERFLOW, ...UNDERFLOW, ...INEXACT according to rounding + template T half_cast(U arg) { return detail::half_caster::cast(arg); } + /// \} + + /// \} + /// \anchor errors + /// \name Error handling + /// \{ + + /// Clear exception flags. + /// This function works even if [automatic exception flag handling](\ref HALF_ERRHANDLING_FLAGS) is disabled, + /// but in that case manual flag management is the only way to raise flags. + /// + /// **See also:** Documentation for [std::feclearexcept](https://en.cppreference.com/w/cpp/numeric/fenv/feclearexcept). + /// \param excepts OR of exceptions to clear + /// \retval 0 all selected flags cleared successfully + inline int feclearexcept(int excepts) { detail::errflags() &= ~excepts; return 0; } + + /// Test exception flags. + /// This function works even if [automatic exception flag handling](\ref HALF_ERRHANDLING_FLAGS) is disabled, + /// but in that case manual flag management is the only way to raise flags. + /// + /// **See also:** Documentation for [std::fetestexcept](https://en.cppreference.com/w/cpp/numeric/fenv/fetestexcept). + /// \param excepts OR of exceptions to test + /// \return OR of selected exceptions if raised + inline int fetestexcept(int excepts) { return detail::errflags() & excepts; } + + /// Raise exception flags. + /// This raises the specified floating point exceptions and also invokes any additional automatic exception handling as + /// configured with the [HALF_ERRHANDLIG_...](\ref HALF_ERRHANDLING_ERRNO) preprocessor symbols. + /// This function works even if [automatic exception flag handling](\ref HALF_ERRHANDLING_FLAGS) is disabled, + /// but in that case manual flag management is the only way to raise flags. + /// + /// **See also:** Documentation for [std::feraiseexcept](https://en.cppreference.com/w/cpp/numeric/fenv/feraiseexcept). + /// \param excepts OR of exceptions to raise + /// \retval 0 all selected exceptions raised successfully + inline int feraiseexcept(int excepts) { detail::errflags() |= excepts; detail::raise(excepts); return 0; } + + /// Save exception flags. + /// This function works even if [automatic exception flag handling](\ref HALF_ERRHANDLING_FLAGS) is disabled, + /// but in that case manual flag management is the only way to raise flags. + /// + /// **See also:** Documentation for [std::fegetexceptflag](https://en.cppreference.com/w/cpp/numeric/fenv/feexceptflag). + /// \param flagp adress to store flag state at + /// \param excepts OR of flags to save + /// \retval 0 for success + inline int fegetexceptflag(int *flagp, int excepts) { *flagp = detail::errflags() & excepts; return 0; } + + /// Restore exception flags. + /// This only copies the specified exception state (including unset flags) without incurring any additional exception handling. + /// This function works even if [automatic exception flag handling](\ref HALF_ERRHANDLING_FLAGS) is disabled, + /// but in that case manual flag management is the only way to raise flags. + /// + /// **See also:** Documentation for [std::fesetexceptflag](https://en.cppreference.com/w/cpp/numeric/fenv/feexceptflag). + /// \param flagp adress to take flag state from + /// \param excepts OR of flags to restore + /// \retval 0 for success + inline int fesetexceptflag(const int *flagp, int excepts) { detail::errflags() = (detail::errflags()|(*flagp&excepts)) & (*flagp|~excepts); return 0; } + + /// Throw C++ exceptions based on set exception flags. + /// This function manually throws a corresponding C++ exception if one of the specified flags is set, + /// no matter if automatic throwing (via [HALF_ERRHANDLING_THROW_...](\ref HALF_ERRHANDLING_THROW_INVALID)) is enabled or not. + /// This function works even if [automatic exception flag handling](\ref HALF_ERRHANDLING_FLAGS) is disabled, + /// but in that case manual flag management is the only way to raise flags. + /// \param excepts OR of exceptions to test + /// \param msg error message to use for exception description + /// \throw std::domain_error if `FE_INVALID` or `FE_DIVBYZERO` is selected and set + /// \throw std::overflow_error if `FE_OVERFLOW` is selected and set + /// \throw std::underflow_error if `FE_UNDERFLOW` is selected and set + /// \throw std::range_error if `FE_INEXACT` is selected and set + inline void fethrowexcept(int excepts, const char *msg = "") + { + excepts &= detail::errflags(); + if(excepts & (FE_INVALID|FE_DIVBYZERO)) + throw std::domain_error(msg); + if(excepts & FE_OVERFLOW) + throw std::overflow_error(msg); + if(excepts & FE_UNDERFLOW) + throw std::underflow_error(msg); + if(excepts & FE_INEXACT) + throw std::range_error(msg); + } + /// \} +} + + +#undef HALF_UNUSED_NOERR +#undef HALF_CONSTEXPR +#undef HALF_CONSTEXPR_CONST +#undef HALF_CONSTEXPR_NOERR +#undef HALF_NOEXCEPT +#undef HALF_NOTHROW +#undef HALF_THREAD_LOCAL +#undef HALF_TWOS_COMPLEMENT_INT +#ifdef HALF_POP_WARNINGS + #pragma warning(pop) + #undef HALF_POP_WARNINGS +#endif + +#endif diff --git a/dnmetis/backend_C++/dnmetis_backend/setup.py b/dnmetis/backend_C++/dnmetis_backend/setup.py new file mode 100644 index 0000000..e334f9b --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/setup.py @@ -0,0 +1,140 @@ +from setuptools import setup, Extension +from setuptools.command.build_ext import build_ext +import sys +import setuptools + +__version__ = 'V1.0.2' + + +class get_pybind_include(object): + """Helper class to determine the pybind11 include path + + The purpose of this class is to postpone importing pybind11 + until it is actually installed, so that the ``get_include()`` + method can be invoked. """ + + def __str__(self): + import pybind11 + return pybind11.get_include() + + +ext_modules = [ + Extension( + 'dnmetis_backend', + # Sort input source files to ensure bit-for-bit reproducible builds + # (https://github.com/pybind/dnmetis_backend/pull/53) + #sorted(['src/main.cpp','src/model_process.cpp','src/sample_process.cpp','src/utils.cpp']), + sources=[ + 'src/main.cpp', + 'src/Config.cpp', + 'backend/BaseBackend.cpp', + 'backend/BackendFactory.cpp', + + 'backend/built-in/aclbackend.cpp', + 'backend/built-in/src/model_process.cpp', + 'backend/built-in/src/sample_process.cpp', + 'backend/built-in/src/utils.cpp', + + 'backend/custom/trtbackend.cpp', + ], + include_dirs=[ + # Path to pybind11 headers + get_pybind_include(), + './inc/', + './backend/inc', + './backend/built-in', + './backend/built-in/inc', + './backend/custom', + './backend/custom/inc', + '/home/HwHiAiUser/Ascend/ascend-toolkit/20.10.0.B023//acllib/include/', + ], + library_dirs=['/home/HwHiAiUser/Ascend/ascend-toolkit/20.10.0.B023//acllib/lib64/',], + libraries=['ascendcl',], + language='c++' + ), +] + + +# cf http://bugs.python.org/issue26689 +def has_flag(compiler, flagname): + """Return a boolean indicating whether a flag name is supported on + the specified compiler. + """ + import tempfile + import os + with tempfile.NamedTemporaryFile('w', suffix='.cpp', delete=False) as f: + f.write('int main (int argc, char **argv) { return 0; }') + fname = f.name + try: + compiler.compile([fname], extra_postargs=[flagname]) + except setuptools.distutils.errors.CompileError: + return False + finally: + try: + os.remove(fname) + except OSError: + pass + return True + + +def cpp_flag(compiler): + """Return the -std=c++[11/14/17] compiler flag. + + The newer version is prefered over c++11 (when it is available). + """ + flags = ['-std=c++14', '-std=c++17','-std=c++11'] + + for flag in flags: + if has_flag(compiler, flag): + return flag + + raise RuntimeError('Unsupported compiler -- at least C++11 support ' + 'is needed!') + + +class BuildExt(build_ext): + """A custom build extension for adding compiler-specific options.""" + c_opts = { + 'msvc': ['/EHsc'], + 'unix': ['-w','-O0', '-fpermissive'], + } + l_opts = { + 'msvc': [], + 'unix': ['-O0'], + } + + if sys.platform == 'darwin': + darwin_opts = ['-stdlib=libc++', '-mmacosx-version-min=10.7'] + c_opts['unix'] += darwin_opts + l_opts['unix'] += darwin_opts + + def build_extensions(self): + ct = self.compiler.compiler_type + opts = self.c_opts.get(ct, []) + link_opts = self.l_opts.get(ct, []) + if ct == 'unix': + opts.append(cpp_flag(self.compiler)) + if has_flag(self.compiler, '-fvisibility=hidden'): + opts.append('-fvisibility=hidden') + + for ext in self.extensions: + ext.define_macros = [('VERSION_INFO', '"{}"'.format(self.distribution.get_version()))] + ext.extra_compile_args = opts + ext.extra_link_args = link_opts + build_ext.build_extensions(self) + + +setup( + name='dnmetis_backend', + version=__version__, + author='chegulu', + author_email='chegulu@xxx.com', + url='https://chegulu', + description='A test tool project using pybind11', + long_description='', + ext_modules=ext_modules, + setup_requires=['pybind11==2.5.0'], + #data_files=[('config', ['cfg/config.txt'])], + cmdclass={'build_ext': BuildExt}, + zip_safe=False, +) diff --git a/dnmetis/backend_C++/dnmetis_backend/src/Config.cpp b/dnmetis/backend_C++/dnmetis_backend/src/Config.cpp new file mode 100644 index 0000000..7e26cd3 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/src/Config.cpp @@ -0,0 +1,156 @@ +// Config.cpp + +#include "Config.h" + +using namespace std; + + +Config::Config( string filename, string delimiter, + string comment ) + : m_Delimiter(delimiter), m_Comment(comment) +{ + // Construct a Config, getting keys and values from given file + + std::ifstream in( filename.c_str() ); + + if( !in ) throw File_not_found( filename ); + + in >> (*this); +} + + +Config::Config() +: m_Delimiter( string(1,'=') ), m_Comment( string(1,'#') ) +{ + // Construct a Config without a file; empty +} + + + +bool Config::KeyExists( const string& key ) const +{ + // Indicate whether key is found + mapci p = m_Contents.find( key ); + return ( p != m_Contents.end() ); +} + + +/* static */ +void Config::Trim( string& inout_s ) +{ + // Remove leading and trailing whitespace + static const char whitespace[] = " \n\t\v\r\f"; + inout_s.erase( 0, inout_s.find_first_not_of(whitespace) ); + inout_s.erase( inout_s.find_last_not_of(whitespace) + 1U ); +} + + +std::ostream& operator<<( std::ostream& os, const Config& cf ) +{ + // Save a Config to os + for( Config::mapci p = cf.m_Contents.begin(); + p != cf.m_Contents.end(); + ++p ) + { + os << p->first << " " << cf.m_Delimiter << " "; + os << p->second << std::endl; + } + return os; +} + +void Config::Remove( const string& key ) +{ + // Remove key and its value + m_Contents.erase( m_Contents.find( key ) ); + return; +} + +std::istream& operator>>( std::istream& is, Config& cf ) +{ + // Load a Config from is + // Read in keys and values, keeping internal whitespace + typedef string::size_type pos; + const string& delim = cf.m_Delimiter; // separator + const string& comm = cf.m_Comment; // comment + const pos skip = delim.length(); // length of separator + + string nextline = ""; // might need to read ahead to see where value ends + + while( is || nextline.length() > 0 ) + { + // Read an entire line at a time + string line; + if( nextline.length() > 0 ) + { + line = nextline; // we read ahead; use it now + nextline = ""; + } + else + { + std::getline( is, line ); + } + + // Ignore comments + line = line.substr( 0, line.find(comm) ); + + // Parse the line if it contains a delimiter + pos delimPos = line.find( delim ); + if( delimPos < string::npos ) + { + // Extract the key + string key = line.substr( 0, delimPos ); + line.replace( 0, delimPos+skip, "" ); + + // See if value continues on the next line + // Stop at blank line, next line with a key, end of stream, + // or end of file sentry + bool terminate = false; + while( !terminate && is ) + { + std::getline( is, nextline ); + terminate = true; + + string nlcopy = nextline; + Config::Trim(nlcopy); + if( nlcopy == "" ) continue; + + nextline = nextline.substr( 0, nextline.find(comm) ); + if( nextline.find(delim) != string::npos ) + continue; + + nlcopy = nextline; + Config::Trim(nlcopy); + if( nlcopy != "" ) line += "\n"; + line += nextline; + terminate = false; + } + + // Store key and value + Config::Trim(key); + Config::Trim(line); + cf.m_Contents[key] = line; // overwrites if key is repeated + } + } + + return is; +} +bool Config::FileExist(std::string filename) +{ + bool exist= false; + std::ifstream in( filename.c_str() ); + if( in ) + exist = true; + return exist; +} + +void Config::ReadFile( string filename, string delimiter, + string comment ) +{ + m_Delimiter = delimiter; + m_Comment = comment; + std::ifstream in( filename.c_str() ); + + if( !in ) throw File_not_found( filename ); + + in >> (*this); +} \ No newline at end of file diff --git a/dnmetis/backend_C++/dnmetis_backend/src/main.cpp b/dnmetis/backend_C++/dnmetis_backend/src/main.cpp new file mode 100644 index 0000000..8a93076 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/src/main.cpp @@ -0,0 +1,150 @@ +#include +#include "BackendFactory.h" +#include "BaseBackend.h" +//#include "common.h" +#include "utils.h" +#include + +using namespace std; + +bool warmup=true; + +long deviceTime=0; + +std::shared_ptr backend; +Config * Config::instance = nullptr; + +int backend_setconfig(char* cfg) +{ + Config::setInstance(cfg); +} + +int backend_load(int backend_type,char* omModelPath,char* binfile) +{ + backend = BackendFactory::Instance()->CreateBaseBackend(FrameworkType(backend_type)); + if(backend == nullptr) + { + ERROR_LOG("FAILED, Not found the test backend, type:%d.", FrameworkType(backend_type)); + return FAILED; + } + backend->init(omModelPath,binfile); + printf("[INFO] AclBackend init OK\n"); + backend->load(omModelPath,binfile); + printf("[INFO] AclBackend load OK\n"); +} + +//py::array backend_predict(int type, char* omModelPath, py::array binfile) +vector backend_predict(int type, char* omModelPath, py::array binfile) +{ + if(warmup) + { + printf("[INFO] start warmup AclBackend predict\n"); + //warmup=false; + } + INFO_LOG("start backend_predict is %d", Utils::getCurrentTime()); + std::vector result_buf; + //INFO_LOG("binfile.nbytes is %d", binfile.nbytes()); + deviceTime = 0; + backend->predict(omModelPath, binfile.mutable_data(), binfile.nbytes(),result_buf, deviceTime); + INFO_LOG("Pure device execute time is %f ms", deviceTime); + if(warmup) + { + printf("[INFO] end warmup AclBackend predict\n"); + warmup=false; + } + + INFO_LOG("end backend_predict is %d", Utils::getCurrentTime()); + + vector vec_result; + for(int i =0 ; i::format(); + if(!result_buf[i].format.compare("int8")) + str=py::format_descriptor::format(); + if(!result_buf[i].format.compare("float")) + str=py::format_descriptor::format(); + if(!result_buf[i].format.compare("float16")) + str=py::format_descriptor::format(); + if(!result_buf[i].format.compare("int64")) + str=py::format_descriptor::format(); + if(!result_buf[i].format.compare("uint64")) + str=py::format_descriptor::format(); + py::buffer_info tmp=py::buffer_info( + result_buf[i].ptr, + (ssize_t)result_buf[i].itemsize, //itemsize + str, + (ssize_t)result_buf[i].ndim,// ndim + result_buf[i].shape, // shape + result_buf[i].strides //strides + ); + py::dtype dt = py::dtype(str); + py::array result = py::array(dt,tmp.shape, tmp.strides, tmp.ptr); + vec_result.push_back(result); + } + return vec_result; + //return result; +} + +long backend_get_device_time() +{ + return deviceTime; +} + +int backend_unload(int type,char* omModelPath,char* binfile) +{ + backend->unload(omModelPath,binfile); + printf("[INFO] AclBackend unload OK\n"); +} + +namespace py = pybind11; + +PYBIND11_MODULE(dnmetis_backend, m) { + m.doc() = R"pbdoc( + Pybind11 example plugin + ----------------------- + + .. currentmodule:: dnmetis_backend + + .. autosummary:: + :toctree: _generate + + add + subtract + )pbdoc"; + /*m.def("backend_main", &backend_main, R"pbdoc( + backend + )pbdoc");*/ + m.def("backend_setconfig", &backend_setconfig, R"pbdoc( + backend + )pbdoc"); + + m.def("backend_load", &backend_load, R"pbdoc( + backend + )pbdoc"); + + m.def("backend_predict", &backend_predict, R"pbdoc( + backend + )pbdoc"); + + m.def("backend_get_device_time", &backend_get_device_time, R"pbdoc( + backend + )pbdoc"); + + m.def("backend_unload", &backend_unload, R"pbdoc( + backend + )pbdoc"); + m.def("add", [](int i, int j) { return i + j; }, R"pbdoc( + add + )pbdoc"); + m.def("subtract", [](int i, int j) { return i - j; }, R"pbdoc( + subtract + )pbdoc"); + +#ifdef VERSION_INFO + m.attr("__version__") = VERSION_INFO; +#else + m.attr("__version__") = "dev"; +#endif +} diff --git a/dnmetis/backend_C++/dnmetis_backend/tests/test.py b/dnmetis/backend_C++/dnmetis_backend/tests/test.py new file mode 100644 index 0000000..3c10cc9 --- /dev/null +++ b/dnmetis/backend_C++/dnmetis_backend/tests/test.py @@ -0,0 +1,8 @@ +import dnmetis_backend as m + +print(m.__version__) +assert m.add(1, 2) == 3 +print("Test add Ok!") +assert m.subtract(1, 2) == -1 +print("Test subtract Ok!") +print("Test Ok!") diff --git a/dnmetis/backend_cfg/built-in_config.txt b/dnmetis/backend_cfg/built-in_config.txt new file mode 100644 index 0000000..327819c --- /dev/null +++ b/dnmetis/backend_cfg/built-in_config.txt @@ -0,0 +1,2 @@ +aclrtMemMallocPolicy=2 +backend_loglevel=3 diff --git a/dnmetis/datasets/imagenet_10/ILSVRC2012_val_00000001.JPEG b/dnmetis/datasets/imagenet_10/ILSVRC2012_val_00000001.JPEG new file mode 100644 index 0000000..fd3a93f Binary files /dev/null and b/dnmetis/datasets/imagenet_10/ILSVRC2012_val_00000001.JPEG differ diff --git 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b/dnmetis/datasets/imagenet_10/ILSVRC2012_val_00000009.JPEG new file mode 100644 index 0000000..9f6c9c0 Binary files /dev/null and b/dnmetis/datasets/imagenet_10/ILSVRC2012_val_00000009.JPEG differ diff --git a/dnmetis/datasets/imagenet_10/ILSVRC2012_val_00000010.JPEG b/dnmetis/datasets/imagenet_10/ILSVRC2012_val_00000010.JPEG new file mode 100644 index 0000000..6fcafb4 Binary files /dev/null and b/dnmetis/datasets/imagenet_10/ILSVRC2012_val_00000010.JPEG differ diff --git a/dnmetis/datasets/imagenet_10/val_map.txt b/dnmetis/datasets/imagenet_10/val_map.txt new file mode 100644 index 0000000..da362d6 --- /dev/null +++ b/dnmetis/datasets/imagenet_10/val_map.txt @@ -0,0 +1,10 @@ +ILSVRC2012_val_00000001.JPEG 65 +ILSVRC2012_val_00000002.JPEG 970 +ILSVRC2012_val_00000003.JPEG 230 +ILSVRC2012_val_00000004.JPEG 809 +ILSVRC2012_val_00000005.JPEG 516 +ILSVRC2012_val_00000006.JPEG 57 +ILSVRC2012_val_00000007.JPEG 334 +ILSVRC2012_val_00000008.JPEG 415 +ILSVRC2012_val_00000009.JPEG 674 +ILSVRC2012_val_00000010.JPEG 332 diff --git a/dnmetis/main.py b/dnmetis/main.py new file mode 100644 index 0000000..6e24e2b --- /dev/null +++ b/dnmetis/main.py @@ -0,0 +1,150 @@ +import argparse +import array +import collections +import json +import os +import sys +import threading +import time +from queue import Queue +#import env +import cv2 +import numpy as np +import re +import pdb + +# import converter.converter as converter +#from backend.backend_acl import AclBackend + + + +last_timing = [] +last_device_timing = [] + + +def get_args(): + """Parse commandline.""" + parser = argparse.ArgumentParser() + parser.add_argument("--dataset_path", default="./datasets/imagenet_10", help="path to the dataset") + parser.add_argument("--backend", default="acl", help="runtime to use") + parser.add_argument("--model", required=True, help="model file path") + parser.add_argument("--image_size",default='224,224,3',help="model inputs imagesize") + parser.add_argument("--inputs", default="input:0", help="model inputs nodes eg: data1:0 ") + parser.add_argument("--outputs",default="softmax:0", help="model outputs nodes list eg:fc1:0,fc2:0,fc3:0 ") + + # below will override DNMetis rules compliant settings - don't use for official submission + parser.add_argument("--count", default=1000, type=int, help="dataset items to infer") + parser.add_argument("--precision", default="fp16", choices=["fp32", "fp16", "int8", "uint8"], + help="precision mode, one of " + str(["fp32", "fp16", "int8", "uint8"])) + parser.add_argument("--feed", default=[], help="feed") + parser.add_argument("--image_list", default=[], help="image_list") + parser.add_argument("--label_list", default=[], help="label_list") + parser.add_argument("--cfg_path",default="./backend_cfg/built-in_config.txt") + args = parser.parse_args() + + # don't use defaults in argparser. Instead we default to a dict, override that with a profile + # and take this as default unless command line give + + + #if args.image_size is None: + # args.image_size = SUPPORTED_DATASETS[args.dataset][3]['image_size'] + + if args.inputs: + args.inputs = args.inputs.split(",") + if args.outputs: + args.outputs = args.outputs.split(",") + if args.image_size: + args.image_size = list(map(int, args.image_size.split(","))) + + return args + +def get_backend(backend): + if backend == "acl": + from backend.backend_acl import AclBackend + backend = AclBackend() + return backend + +def resize_with_aspectratio(img, out_height, out_width, scale=87.5, inter_pol=cv2.INTER_LINEAR): + height, width = img.shape[:2] + new_height = int(100. * out_height / scale) + new_width = int(100. * out_width / scale) + if height > width: + w = new_width + h = int(new_height * height / width) + else: + h = new_height + w = int(new_width * width / height) + img = cv2.resize(img, (w, h), interpolation=inter_pol) + return img + +def center_crop(img, out_height, out_width): + height, width = img.shape[:2] + left = int((width - out_width) / 2) + right = int((width + out_width) / 2) + top = int((height - out_height) / 2) + bottom = int((height + out_height) / 2) + img = img[top:bottom, left:right] + return img +def pre_process_noisy(img, dims=None, precision="fp32"): + img = cv2.cvtColor(img, cv2.COLOR_BGR2RGB) + output_height, output_width, _ = dims + cv2_interpol = cv2.INTER_CUBIC + img = resize_with_aspectratio(img, output_height, output_width, inter_pol=cv2_interpol) + img = center_crop(img, output_height, output_width) + MEAN_RGB = [0.485 * 255, 0.456 * 255, 0.406 * 255] + STDDEV_RGB = [0.229 * 255, 0.224 * 255, 0.225 * 255] + + if precision=="fp32": + img = np.asarray(img, dtype='float32') + if precision=="fp16": + img = np.asarray(img, dtype='float16') + + means = np.array([0.485 * 255, 0.456 * 255, 0.406 * 255], dtype=np.float32) + img -= means + stddev = np.array([0.229 * 255, 0.224 * 255, 0.225 * 255], dtype=np.float32) + img /= stddev + return img + + + +def preprocess_dataset(args,offset=0): + with open(args.dataset_path + '/val_map.txt', 'r') as f: + for s in f: + image_name, label = re.split(r"\s+", s.strip()) + src = os.path.join(args.dataset_path, image_name) + img_org = cv2.imread(src) + processed_img = pre_process_noisy(img_org, dims=args.image_size, precision = args.precision) + args.feed.append(processed_img) + args.image_list.append(image_name) + args.label_list.append(int(label)+offset) + + +def main(): + good = 0 + total = 0 + #args + args = get_args() + + # find backend + backend = get_backend(args.backend) + + # load model to backend + model = backend.load(args) + # + # preprocess_dataset + preprocess_dataset(args,offset=0) + + #start inference: + for i in range(len(args.feed)): + predictions = backend.predict(args.feed[i]) + #print(args.feed[i].shape) + print('img_orig:',args.image_list[i],'label:',args.label_list[i],'predictions:',np.argmax(predictions),'\n') + if args.label_list[i] == np.argmax(predictions): + good +=1 + total +=1 + print('Predict total jpeg:',len(args.image_list),' Accuracy: ',good / total) + + backend.unload() + +if __name__ == "__main__": + main() diff --git a/dnmetis/model/.keep b/dnmetis/model/.keep new file mode 100644 index 0000000..e69de29 diff --git a/dnmetis/requirements.txt b/dnmetis/requirements.txt new file mode 100644 index 0000000..19eed94 --- /dev/null +++ b/dnmetis/requirements.txt @@ -0,0 +1,3 @@ +pip3.7.5 install python-opencv +cd backend_C++/dnmetis_backend +pip3.7.5 setup.py install \ No newline at end of file diff --git a/dnmetis/run_inference.sh b/dnmetis/run_inference.sh new file mode 100644 index 0000000..2cbd1f7 --- /dev/null +++ b/dnmetis/run_inference.sh @@ -0,0 +1,4 @@ +python3.7 main.py --model=./model/efficientnet-b8.om --image_size='672,672,3' --precision=fp16 + + + diff --git a/dnmetis/version.py b/dnmetis/version.py new file mode 100644 index 0000000..2432e3c --- /dev/null +++ b/dnmetis/version.py @@ -0,0 +1,2 @@ + +version = '1.0'