Pytorch实现RNN预测模型并使用C++相应的ONNX模型推理

Pytorch实现RNN模型

代码

python 复制代码
import torch
import torch.nn as nn

class RNN(nn.Module):
    def __init__(self, seq_len, input_size, hidden_size, output_size, num_layers, device):
        super(RNN, self).__init__()
        self._seq_len = seq_len
        self._input_size = input_size
        self._output_size = output_size
        self._hidden_size = hidden_size
        self._device = device
        self._num_layers = num_layers

        self.rnn = nn.RNN(
            input_size=input_size,
            hidden_size=self._hidden_size,
            num_layers=self._num_layers,
            batch_first=True
        )

        self.fc = nn.Linear(self._seq_len * self._hidden_size, self._output_size)

    def forward(self, x, hidden_prev):
        out, hidden_prev = self.rnn(x, hidden_prev)
        out = out.contiguous().view(out.shape[0], -1)
        out = self.fc(out)
        return out, hidden_prev

seq_len = 10
batch_size = 20
input_size = 10
output_size = 10
hidden_size = 32
num_layers = 2
model = RNN(seq_len, input_size, hidden_size, output_size, num_layers, "cpu")
hidden_prev = torch.zeros(num_layers, batch_size, hidden_size).to("cpu")
model.eval() 

input_names = ["input", "hidden_prev_in"]
output_names  = ["output", "hidden_prev_out"]

x = torch.randn((batch_size, seq_len, input_size))
y, hidden_prev = model(x, hidden_prev)
print(x.shape)
print(hidden_prev.shape)
print(y.shape)
print(hidden_prev.shape)

torch.onnx.export(model, (x, hidden_prev), 'RNN.onnx', verbose=True, input_names=input_names, output_names=output_names,
  dynamic_axes={'input':[0], 'hidden_prev_in':[1], 'output':[0], 'hidden_prev_out':[1]} )

import onnx
model = onnx.load("RNN.onnx")
print("load model done.")
onnx.checker.check_model(model)
print(onnx.helper.printable_graph(model.graph))
print("check model done.")

运行结果

Shell 复制代码
torch.Size([20, 10, 10])
torch.Size([2, 20, 32])
torch.Size([20, 10])
torch.Size([2, 20, 32])
/home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/onnx/utils.py:2041: UserWarning: No names were found for specified dynamic axes of provided input.Automatically generated names will be applied to each dynamic axes of input input
  "No names were found for specified dynamic axes of provided input."
/home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/onnx/utils.py:2041: UserWarning: No names were found for specified dynamic axes of provided input.Automatically generated names will be applied to each dynamic axes of input hidden_prev
  "No names were found for specified dynamic axes of provided input."
/home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/onnx/utils.py:2041: UserWarning: No names were found for specified dynamic axes of provided input.Automatically generated names will be applied to each dynamic axes of input output
  "No names were found for specified dynamic axes of provided input."
/home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/onnx/symbolic_opset9.py:4322: UserWarning: Exporting a model to ONNX with a batch_size other than 1, with a variable length with RNN_TANH can cause an error when running the ONNX model with a different batch size. Make sure to save the model with a batch size of 1, or define the initial states (h0/c0) as inputs of the model. 
  + "or define the initial states (h0/c0) as inputs of the model. "
/home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/onnx/_internal/jit_utils.py:258: UserWarning: The shape inference of prim::Constant type is missing, so it may result in wrong shape inference for the exported graph. Please consider adding it in symbolic function. (Triggered internally at ../torch/csrc/jit/passes/onnx/shape_type_inference.cpp:1884.)
  _C._jit_pass_onnx_node_shape_type_inference(node, params_dict, opset_version)
/home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/onnx/utils.py:688: UserWarning: The shape inference of prim::Constant type is missing, so it may result in wrong shape inference for the exported graph. Please consider adding it in symbolic function. (Triggered internally at ../torch/csrc/jit/passes/onnx/shape_type_inference.cpp:1884.)
  graph, params_dict, GLOBALS.export_onnx_opset_version
/home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/onnx/utils.py:1179: UserWarning: The shape inference of prim::Constant type is missing, so it may result in wrong shape inference for the exported graph. Please consider adding it in symbolic function. (Triggered internally at ../torch/csrc/jit/passes/onnx/shape_type_inference.cpp:1884.)
  graph, params_dict, GLOBALS.export_onnx_opset_version
Exported graph: graph(%input : Float(*, 10, 10, strides=[100, 10, 1], requires_grad=0, device=cpu),
      %hidden_prev.1 : Float(2, *, 32, strides=[640, 32, 1], requires_grad=1, device=cpu),
      %fc.weight : Float(10, 320, strides=[320, 1], requires_grad=1, device=cpu),
      %fc.bias : Float(10, strides=[1], requires_grad=1, device=cpu),
      %onnx::RNN_58 : Float(1, 32, 10, strides=[320, 10, 1], requires_grad=0, device=cpu),
      %onnx::RNN_59 : Float(1, 32, 32, strides=[1024, 32, 1], requires_grad=0, device=cpu),
      %onnx::RNN_60 : Float(1, 64, strides=[64, 1], requires_grad=0, device=cpu),
      %onnx::RNN_62 : Float(1, 32, 32, strides=[1024, 32, 1], requires_grad=0, device=cpu),
      %onnx::RNN_63 : Float(1, 32, 32, strides=[1024, 32, 1], requires_grad=0, device=cpu),
      %onnx::RNN_64 : Float(1, 64, strides=[64, 1], requires_grad=0, device=cpu)):
  %/rnn/Transpose_output_0 : Float(10, *, 10, device=cpu) = onnx::Transpose[perm=[1, 0, 2], onnx_name="/rnn/Transpose"](%input), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %onnx::RNN_13 : Tensor? = prim::Constant(), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %/rnn/Constant_output_0 : Long(1, strides=[1], device=cpu) = onnx::Constant[value={0}, onnx_name="/rnn/Constant"](), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %/rnn/Constant_1_output_0 : Long(1, strides=[1], device=cpu) = onnx::Constant[value={0}, onnx_name="/rnn/Constant_1"](), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %/rnn/Constant_2_output_0 : Long(1, strides=[1], device=cpu) = onnx::Constant[value={1}, onnx_name="/rnn/Constant_2"](), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %/rnn/Slice_output_0 : Float(1, *, 32, device=cpu) = onnx::Slice[onnx_name="/rnn/Slice"](%hidden_prev.1, %/rnn/Constant_1_output_0, %/rnn/Constant_2_output_0, %/rnn/Constant_output_0), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %/rnn/RNN_output_0 : Float(10, 1, *, 32, device=cpu), %/rnn/RNN_output_1 : Float(1, *, 32, device=cpu) = onnx::RNN[activations=["Tanh"], hidden_size=32, onnx_name="/rnn/RNN"](%/rnn/Transpose_output_0, %onnx::RNN_58, %onnx::RNN_59, %onnx::RNN_60, %onnx::RNN_13, %/rnn/Slice_output_0), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %/rnn/Constant_3_output_0 : Long(1, strides=[1], device=cpu) = onnx::Constant[value={1}, onnx_name="/rnn/Constant_3"](), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %/rnn/Squeeze_output_0 : Float(10, *, 32, device=cpu) = onnx::Squeeze[onnx_name="/rnn/Squeeze"](%/rnn/RNN_output_0, %/rnn/Constant_3_output_0), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %/rnn/Constant_4_output_0 : Long(1, strides=[1], device=cpu) = onnx::Constant[value={0}, onnx_name="/rnn/Constant_4"](), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %/rnn/Constant_5_output_0 : Long(1, strides=[1], device=cpu) = onnx::Constant[value={1}, onnx_name="/rnn/Constant_5"](), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %/rnn/Constant_6_output_0 : Long(1, strides=[1], device=cpu) = onnx::Constant[value={2}, onnx_name="/rnn/Constant_6"](), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %/rnn/Slice_1_output_0 : Float(1, *, 32, device=cpu) = onnx::Slice[onnx_name="/rnn/Slice_1"](%hidden_prev.1, %/rnn/Constant_5_output_0, %/rnn/Constant_6_output_0, %/rnn/Constant_4_output_0), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %/rnn/RNN_1_output_0 : Float(10, 1, *, 32, device=cpu), %/rnn/RNN_1_output_1 : Float(1, *, 32, device=cpu) = onnx::RNN[activations=["Tanh"], hidden_size=32, onnx_name="/rnn/RNN_1"](%/rnn/Squeeze_output_0, %onnx::RNN_62, %onnx::RNN_63, %onnx::RNN_64, %onnx::RNN_13, %/rnn/Slice_1_output_0), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %/rnn/Constant_7_output_0 : Long(1, strides=[1], device=cpu) = onnx::Constant[value={1}, onnx_name="/rnn/Constant_7"](), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %/rnn/Squeeze_1_output_0 : Float(10, *, 32, device=cpu) = onnx::Squeeze[onnx_name="/rnn/Squeeze_1"](%/rnn/RNN_1_output_0, %/rnn/Constant_7_output_0), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %/rnn/Transpose_1_output_0 : Float(*, 10, 32, strides=[320, 32, 1], requires_grad=1, device=cpu) = onnx::Transpose[perm=[1, 0, 2], onnx_name="/rnn/Transpose_1"](%/rnn/Squeeze_1_output_0), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %hidden_prev : Float(2, *, 32, strides=[640, 32, 1], requires_grad=1, device=cpu) = onnx::Concat[axis=0, onnx_name="/rnn/Concat"](%/rnn/RNN_output_1, %/rnn/RNN_1_output_1), scope: __main__.RNN::/torch.nn.modules.rnn.RNN::rnn # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/rnn.py:478:0
  %/Shape_output_0 : Long(3, strides=[1], device=cpu) = onnx::Shape[onnx_name="/Shape"](%/rnn/Transpose_1_output_0), scope: __main__.RNN:: # /zengli/20230320/ao/test/test_onnx_rnn.py:25:0
  %/Constant_output_0 : Long(device=cpu) = onnx::Constant[value={0}, onnx_name="/Constant"](), scope: __main__.RNN:: # /zengli/20230320/ao/test/test_onnx_rnn.py:25:0
  %/Gather_output_0 : Long(device=cpu) = onnx::Gather[axis=0, onnx_name="/Gather"](%/Shape_output_0, %/Constant_output_0), scope: __main__.RNN:: # /zengli/20230320/ao/test/test_onnx_rnn.py:25:0
  %onnx::Unsqueeze_50 : Long(1, strides=[1], device=cpu) = onnx::Constant[value={0}]()
  %/Unsqueeze_output_0 : Long(1, strides=[1], device=cpu) = onnx::Unsqueeze[onnx_name="/Unsqueeze"](%/Gather_output_0, %onnx::Unsqueeze_50), scope: __main__.RNN::
  %/Constant_1_output_0 : Long(1, strides=[1], requires_grad=0, device=cpu) = onnx::Constant[value={-1}, onnx_name="/Constant_1"](), scope: __main__.RNN::
  %/Concat_output_0 : Long(2, strides=[1], device=cpu) = onnx::Concat[axis=0, onnx_name="/Concat"](%/Unsqueeze_output_0, %/Constant_1_output_0), scope: __main__.RNN:: # /zengli/20230320/ao/test/test_onnx_rnn.py:25:0
  %/Reshape_output_0 : Float(*, *, strides=[320, 1], requires_grad=1, device=cpu) = onnx::Reshape[allowzero=0, onnx_name="/Reshape"](%/rnn/Transpose_1_output_0, %/Concat_output_0), scope: __main__.RNN:: # /zengli/20230320/ao/test/test_onnx_rnn.py:25:0
  %output : Float(*, 10, strides=[10, 1], requires_grad=1, device=cpu) = onnx::Gemm[alpha=1., beta=1., transB=1, onnx_name="/fc/Gemm"](%/Reshape_output_0, %fc.weight, %fc.bias), scope: __main__.RNN::/torch.nn.modules.linear.Linear::fc # /home/ubuntu/anaconda3/envs/py37/lib/python3.7/site-packages/torch/nn/modules/linear.py:114:0
  return (%output, %hidden_prev)

load model done.
graph torch_jit (
  %input[FLOAT, input_dynamic_axes_1x10x10]
  %hidden_prev.1[FLOAT, 2xhidden_prev.1_dim_1x32]
) initializers (
  %fc.weight[FLOAT, 10x320]
  %fc.bias[FLOAT, 10]
  %onnx::RNN_58[FLOAT, 1x32x10]
  %onnx::RNN_59[FLOAT, 1x32x32]
  %onnx::RNN_60[FLOAT, 1x64]
  %onnx::RNN_62[FLOAT, 1x32x32]
  %onnx::RNN_63[FLOAT, 1x32x32]
  %onnx::RNN_64[FLOAT, 1x64]
) {
  %/rnn/Transpose_output_0 = Transpose[perm = [1, 0, 2]](%input)
  %/rnn/Constant_output_0 = Constant[value = <Tensor>]()
  %/rnn/Constant_1_output_0 = Constant[value = <Tensor>]()
  %/rnn/Constant_2_output_0 = Constant[value = <Tensor>]()
  %/rnn/Slice_output_0 = Slice(%hidden_prev.1, %/rnn/Constant_1_output_0, %/rnn/Constant_2_output_0, %/rnn/Constant_output_0)
  %/rnn/RNN_output_0, %/rnn/RNN_output_1 = RNN[activations = ['Tanh'], hidden_size = 32](%/rnn/Transpose_output_0, %onnx::RNN_58, %onnx::RNN_59, %onnx::RNN_60, %, %/rnn/Slice_output_0)
  %/rnn/Constant_3_output_0 = Constant[value = <Tensor>]()
  %/rnn/Squeeze_output_0 = Squeeze(%/rnn/RNN_output_0, %/rnn/Constant_3_output_0)
  %/rnn/Constant_4_output_0 = Constant[value = <Tensor>]()
  %/rnn/Constant_5_output_0 = Constant[value = <Tensor>]()
  %/rnn/Constant_6_output_0 = Constant[value = <Tensor>]()
  %/rnn/Slice_1_output_0 = Slice(%hidden_prev.1, %/rnn/Constant_5_output_0, %/rnn/Constant_6_output_0, %/rnn/Constant_4_output_0)
  %/rnn/RNN_1_output_0, %/rnn/RNN_1_output_1 = RNN[activations = ['Tanh'], hidden_size = 32](%/rnn/Squeeze_output_0, %onnx::RNN_62, %onnx::RNN_63, %onnx::RNN_64, %, %/rnn/Slice_1_output_0)
  %/rnn/Constant_7_output_0 = Constant[value = <Tensor>]()
  %/rnn/Squeeze_1_output_0 = Squeeze(%/rnn/RNN_1_output_0, %/rnn/Constant_7_output_0)
  %/rnn/Transpose_1_output_0 = Transpose[perm = [1, 0, 2]](%/rnn/Squeeze_1_output_0)
  %hidden_prev = Concat[axis = 0](%/rnn/RNN_output_1, %/rnn/RNN_1_output_1)
  %/Shape_output_0 = Shape(%/rnn/Transpose_1_output_0)
  %/Constant_output_0 = Constant[value = <Scalar Tensor []>]()
  %/Gather_output_0 = Gather[axis = 0](%/Shape_output_0, %/Constant_output_0)
  %onnx::Unsqueeze_50 = Constant[value = <Tensor>]()
  %/Unsqueeze_output_0 = Unsqueeze(%/Gather_output_0, %onnx::Unsqueeze_50)
  %/Constant_1_output_0 = Constant[value = <Tensor>]()
  %/Concat_output_0 = Concat[axis = 0](%/Unsqueeze_output_0, %/Constant_1_output_0)
  %/Reshape_output_0 = Reshape[allowzero = 0](%/rnn/Transpose_1_output_0, %/Concat_output_0)
  %output = Gemm[alpha = 1, beta = 1, transB = 1](%/Reshape_output_0, %fc.weight, %fc.bias)
  return %output, %hidden_prev
}
check model done.

C++调用ONNX

代码

cpp 复制代码
vector<float> testOnnxRNN() {
    //设置为VERBOSE,方便控制台输出时看到是使用了cpu还是gpu执行
    //Ort::Env env(ORT_LOGGING_LEVEL_VERBOSE, "test");
    Ort::Env env(ORT_LOGGING_LEVEL_WARNING, "Default");
    Ort::SessionOptions session_options;

    session_options.SetIntraOpNumThreads(5); // 使用五个线程执行op,提升速度
    // 第二个参数代表GPU device_id = 0,注释这行就是cpu执行
    //OrtSessionOptionsAppendExecutionProvider_CUDA(session_options, 0);
    session_options.SetGraphOptimizationLevel(GraphOptimizationLevel::ORT_ENABLE_ALL);

    #ifdef _WIN32
        const wchar_t* model_path = L"C:\\Users\\xxx\\Desktop\\RNN.onnx";
    #else
        const char* model_path = "C:\\Users\\xxx\\Desktop\\RNN.onnx";
    #endif

    wprintf(L"%s\n", model_path);

    Ort::Session session(env, model_path, session_options);
    Ort::AllocatorWithDefaultOptions allocator;

    size_t num_input_nodes = session.GetInputCount();
    size_t num_output_nodes = session.GetOutputCount();

    std::vector<const char*> input_node_names = { "input" , "hidden_prev_in" }; 
    std::vector<const char*> output_node_names = { "output" , "hidden_prev_out" };

    const int input_size = 10;
    const int output_size = 10;
    const int batch_size = 1;
    const int seq_len = 10;
    const int num_layers = 2;
    const int hidden_size = 32;

    std::vector<int64_t> input_node_dims = { batch_size, seq_len, input_size };
    size_t input_tensor_size = batch_size * seq_len * input_size;
    std::vector<float> input_tensor_values(input_tensor_size);
    for (unsigned int i = 0; i < input_tensor_size; i++) {
        input_tensor_values[i] = (float)i / (input_tensor_size + 1);
    }
    auto memory_info = Ort::MemoryInfo::CreateCpu(OrtArenaAllocator, OrtMemTypeDefault);
    Ort::Value input_tensor = Ort::Value::CreateTensor<float>(memory_info, input_tensor_values.data(), input_tensor_size, input_node_dims.data(), 3);
    assert(input_tensor.IsTensor());

    std::vector<int64_t> hidden_prev_in_node_dims = { num_layers, batch_size, hidden_size };
    size_t hidden_prev_in_tensor_size = num_layers * batch_size * hidden_size;
    std::vector<float> hidden_prev_in_tensor_values(hidden_prev_in_tensor_size);
    for (unsigned int i = 0; i < hidden_prev_in_tensor_size; i++) {
        hidden_prev_in_tensor_values[i] = (float)i / (hidden_prev_in_tensor_size + 1);
    }
    auto mask_memory_info = Ort::MemoryInfo::CreateCpu(OrtArenaAllocator, OrtMemTypeDefault);
    Ort::Value hidden_prev_in_tensor = Ort::Value::CreateTensor<float>(mask_memory_info, hidden_prev_in_tensor_values.data(), hidden_prev_in_tensor_size, hidden_prev_in_node_dims.data(), 3);
    assert(hidden_prev_in_tensor.IsTensor());

    std::vector<Ort::Value> ort_inputs;
    ort_inputs.push_back(std::move(input_tensor));
    ort_inputs.push_back(std::move(hidden_prev_in_tensor));

    vector<float> ret;
    try
    {
        auto output_tensors = session.Run(Ort::RunOptions{ nullptr }, input_node_names.data(), ort_inputs.data(), ort_inputs.size(), output_node_names.data(), 2);
        float* output = output_tensors[0].GetTensorMutableData<float>();
        float* hidden_prev_out = output_tensors[1].GetTensorMutableData<float>();
           
        // output
        for (int i = 0; i < output_size; i++) {
            ret.emplace_back(output[i]);
            std::cout << output[i] << " ";
        }
        std::cout << "\n";

        // hidden_prev_out
        //for (int i = 0; i < num_layers * batch_size * hidden_size; i++) {
        //    std::cout << hidden_prev_out[i] << "\t";
        //}
        //std::cout << "\n";
    }
    catch (const std::exception& e)
    {
        std::cout << e.what() << std::endl;
    }
    return ret;
}

运行结果

bash 复制代码
C:\Users\xxx\Desktop\RNN.onnx
0.00296116 0.104443 -0.104239 0.249864 -0.155839 0.019295 0.0458037 -0.0596341 -0.129019 -0.014682
相关推荐
南境十里·墨染春水7 小时前
C++传记(面向对象)虚析构函数 纯虚函数 抽象类 final、override关键字
开发语言·c++·笔记·算法
2301_797172757 小时前
基于C++的游戏引擎开发
开发语言·c++·算法
没有不重的名么8 小时前
Pytorch深度学习快速入门教程
人工智能·pytorch·深度学习
比昨天多敲两行8 小时前
C++ 二叉搜索树
开发语言·c++·算法
Season4508 小时前
C++11之正则表达式使用指南--[正则表达式介绍]|[regex的常用函数等介绍]
c++·算法·正则表达式
问好眼8 小时前
《算法竞赛进阶指南》0x04 二分-1.最佳牛围栏
数据结构·c++·算法·二分·信息学奥赛
海海不瞌睡(捏捏王子)9 小时前
C++ 知识点概要
开发语言·c++
minji...10 小时前
Linux 进程信号(二)信号的保存,sigset_t,sigprocmask,sigpending
linux·运维·服务器·网络·数据结构·c++·算法
小菜鸡桃蛋狗13 小时前
C++——类和对象(下)
开发语言·c++
crescent_悦13 小时前
C++:Highest Price in Supply Chain
开发语言·c++