[C++ 基于Eigen库实现CRN前向推理] 第三部分：TransposedConv2d实现 （含dilation）

• 前言：(Eigen库使用记录)
• 第一部分：WavFile.class (实现读取wav/pcm,实现STFT)
• 第二部分：Conv2d实现
• 第三部分：TransposedConv2d实现 (mimo,padding,stride,dilation,kernel,outpadding)
• 第四部分：NonLinearity （Sigmoid，Tanh，ReLU，ELU，Softplus）
• 第五部分：LSTM
• GITHUB仓库

1. LSTM介绍 1.1 pytorch LSTM介绍

Lstm是RNN网络中最有趣的结构之一，不仅仅使得模型可以从长序列中学习，还创建了长短期记忆模块，模块中所记忆的数值在需要时可以得到更改。

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• 遗忘门
  遗忘单元可以将输入信息和隐藏信息进行信息整合，并进行信息更替，更替步骤如右图公式，其中与乘上权重矩阵后，加上偏置项后，经过激活函数，此时输出值为位于[0,1]之间,并将上一个时间步的与激活函数输出值相乘，更新为
  

• 输入门
  当有输入进入时，输入门会结合输入信息与隐藏信息进行整合，并对信息进行更替
  过程与 过程类似，中间公式使用了tanh函数，可以将输出缩放到[-1,1]之间，再更新
  

• 输出门
  输出门也会对输出过程进行控制，与输入门不同的是，输出门使用tannh激活函数
  

1.2 LSTM递推公式

pytorch的lstm递推公式如下图所示。
在pytorch中，4个权重矩阵Wii,Wif,Wig,Wio被合并为一个权重矩阵Wih,Whh也类似，方便一步计算。

1.3 python实现手动lstm

可以根据公式简单的写出手动实现的版本
这是一个两层的lstm，w和b都写死了，就是固定两层的参数。hidden为1024.

def test_lstm(input, wih0, bih0, whh0, bhh0, wih1, bih1, whh1, bhh1):
    # 手动模拟
    B, T, F = input.shape
    hidden_size = 1024
    inp_pointer = input
    for layer in range(2):
        h_t, c_t = (torch.zeros(B, hidden_size).cuda(), torch.zeros(B, hidden_size).cuda())
        output = torch.zeros(B, T, hidden_size).cuda()
        batch, time, freq = output.shape
        if layer == 0:
            cur_w_ih = wih0
            cur_w_hh = whh0
            cur_b_ih = bih0
            cur_b_hh = bhh0
        else:
            cur_w_ih = wih1
            cur_w_hh = whh1
            cur_b_ih = bih1
            cur_b_hh = bhh1
        for t in range(time):
            x_t = inp_pointer[:, t, :]
            gates = x_t @ cur_w_ih.T + cur_b_ih + h_t @ cur_w_hh.T + cur_b_hh
            i_t, f_t, g_t, o_t = (
                torch.sigmoid(gates[:, :hidden_size]),  # input
                torch.sigmoid(gates[:, hidden_size:hidden_size * 2]),  # forget
                torch.tanh(gates[:, hidden_size * 2:hidden_size * 3]),
                torch.sigmoid(gates[:, hidden_size * 3:]),  # output
            )

            c_t = f_t * c_t + i_t * g_t
            h_t = o_t * torch.tanh(c_t)
            output[:, t, :] = h_t
        inp_pointer = output
    return inp_pointer

另外，还实现了一个双向LSTM的版本，用了一个小样本进行测试，同样参数都是写死了。

def test_lstm():
    input_size = 4
    hidden_size = 6
    num_layer = 2
    bidirectional = True
    direction = 2 if bidirectional else 1
    input = torch.Tensor([[[[0.896227, 0.713551],
                            [0.605188, 0.0700275],
                            [0.827175, 0.186436]],
                           [[0.872269, 0.032015],
                            [0.259925, 0.517878],
                            [0.224867, 0.943635]]],
                          [[[0.290171, 0.0767354],
                            [0.251816, 0.31538],
                            [0.828251, 0.730255]],
                           [[0.24641, 0.757985],
                            [0.354927, 0.694123],
                            [0.990138, 0.946459]]]]).float().transpose(1, 2).reshape(2, 3, 4)
    B, T, F = input.shape

    lstm = nn.LSTM(input_size=input_size, hidden_size=hidden_size, num_layers=num_layer, batch_first=True,
                   bidirectional=bidirectional)

    state = OrderedDict()
    state['weight_ih_l0'] = torch.ones([4 * hidden_size, input_size])
    state['weight_hh_l0'] = torch.ones([4 * hidden_size, hidden_size]) * 2
    state['bias_ih_l0'] = torch.zeros(4 * hidden_size) + 0.5
    state['bias_hh_l0'] = torch.zeros(4 * hidden_size) + 1.0
    state['weight_ih_l1'] = torch.ones([4 * hidden_size, hidden_size * direction]) * 2
    state['weight_hh_l1'] = torch.ones([4 * hidden_size, hidden_size]) * 3
    state['bias_ih_l1'] = torch.zeros(4 * hidden_size) + 0.5
    state['bias_hh_l1'] = torch.zeros(4 * hidden_size) + 1.0
    state['weight_ih_l0_reverse'] = torch.ones([4 * hidden_size, input_size])
    state['weight_hh_l0_reverse'] = torch.ones([4 * hidden_size, hidden_size]) * 2
    state['bias_ih_l0_reverse'] = torch.zeros(4 * hidden_size) + 0.5
    state['bias_hh_l0_reverse'] = torch.zeros(4 * hidden_size) + 1.0
    state['weight_ih_l1_reverse'] = torch.ones([4 * hidden_size, hidden_size * direction]) * 2
    state['weight_hh_l1_reverse'] = torch.ones([4 * hidden_size, hidden_size]) * 3
    state['bias_ih_l1_reverse'] = torch.zeros(4 * hidden_size) + 0.5
    state['bias_hh_l1_reverse'] = torch.zeros(4 * hidden_size) + 1.0
    lstm.load_state_dict(state, strict=False)

    # 手动模拟
    inp_pointer = input
    for layer in range(num_layer):
        h_t, c_t = (torch.zeros(B, hidden_size), torch.zeros(B, hidden_size))
        h_t_reverse, c_t_reverse = (torch.zeros(B, hidden_size), torch.zeros(B, hidden_size))
        output = torch.zeros(B, T, hidden_size)
        output_reverse = torch.zeros(B, T, hidden_size)
        batch, time, freq = output.shape
        cur_w_ih = state['weight_ih_l{}'.format(layer)]
        cur_w_ih_reverse = state['weight_ih_l{}_reverse'.format(layer)]
        cur_w_hh = state['weight_hh_l{}'.format(layer)]
        cur_w_hh_reverse = state['weight_hh_l{}_reverse'.format(layer)]
        cur_b_ih = state['bias_ih_l{}'.format(layer)]
        cur_b_ih_reverse = state['bias_ih_l{}_reverse'.format(layer)]
        cur_b_hh = state['bias_hh_l{}'.format(layer)]
        cur_b_hh_reverse = state['bias_hh_l{}_reverse'.format(layer)]
        for t in range(time):
            x_t = inp_pointer[:, t, :]
            r_t = inp_pointer[:, time - t - 1, :]
            gates = x_t @ cur_w_ih.T + cur_b_ih + h_t @ cur_w_hh.T + cur_b_hh
            gates_r = r_t @ cur_w_ih_reverse.T + cur_b_ih_reverse + h_t_reverse @ cur_w_hh_reverse.T + cur_b_hh_reverse
            i_t, f_t, g_t, o_t = (
                torch.sigmoid(gates[:, :hidden_size]),  # input
                torch.sigmoid(gates[:, hidden_size:hidden_size * 2]),  # forget
                torch.tanh(gates[:, hidden_size * 2:hidden_size * 3]),
                torch.sigmoid(gates[:, hidden_size * 3:]),  # output
            )
            i_r, f_r, g_r, o_r = (
                torch.sigmoid(gates_r[:, :hidden_size]),  # input
                torch.sigmoid(gates_r[:, hidden_size:hidden_size * 2]),  # forget
                torch.tanh(gates_r[:, hidden_size * 2:hidden_size * 3]),
                torch.sigmoid(gates_r[:, hidden_size * 3:]),  # output
            )
            c_t = f_t * c_t + i_t * g_t
            c_t_reverse = f_r * c_t_reverse + i_r * g_r
            h_t = o_t * torch.tanh(c_t)
            h_t_reverse = o_r * torch.tanh(c_t_reverse)
            output[:, t, :] = h_t
            output_reverse[:, time - t - 1, :] = h_t_reverse

        inp_pointer = torch.cat([output, output_reverse], dim=2)
    print(inp_pointer.view(2, 3, 2, -1).transpose(1, 2))
    th_out, (h, c) = lstm(input)
    print(th_out)

2. 基于Eigen实现C++ 的LSTM推理 2.1 Layer_LSTM.h

//
// Created by 65181 on 2022/10/31.
//

#ifndef CRN_LAYER_LSTM_H
#define CRN_LAYER_LSTM_H

#include "Eigen"
#include "mat.h"
#include "Eigen/CXX11/Tensor"

class Layer_LSTM {public:
    Layer_LSTM();

    Layer_LSTM(int64_t inp_size, int64_t hid_size, int64_t num_layer = 2, bool bidirectional = false);

    void LoadState(MATFile *pmFile, const std::string &state_preffix);

    void LoadTestState();

    Eigen::Tensorforward(Eigen::Tensor&input, std::vector>&h_t,
                                      std::vector>&c_t);

private:
    int64_t input_size;
    int64_t hidden_size;
    int64_t num_layers;
    int64_t direction;
    bool bidirectional;
    std::vector>weight_ih, weight_hh;
    std::vector>weight_ih_reverse, weight_hh_reverse;
    std::vector>bias_ih, bias_hh;
    std::vector>bias_ih_reverse, bias_hh_reverse;

    Eigen::Tensor_load_mat(MATFile *pmFile, const std::string &state_name);

    Eigen::Tensor_uni_lstm(Eigen::Tensor&input, std::vector>&h_t,
                                        std::vector>&c_t);

    Eigen::Tensor_bi_lstm(Eigen::Tensor&input, std::vector>&h_t,
                                       std::vector>&c_t);


    void print2(Eigen::Tensorinput);

    void print3(Eigen::Tensorinput);
};


#endif //CRN_LAYER_LSTM_H

2.2 Layer_LSTM.cpp

//
// Created by 65181 on 2022/10/31.
//

#include "iostream"
#include "../include/Layer_LSTM.h"

using namespace std;

Layer_LSTM::Layer_LSTM() {this->input_size = 64;
    this->hidden_size = 64;
    this->num_layers = 2;
    this->direction = 1;
}

Layer_LSTM::Layer_LSTM(int64_t inp_size, int64_t hid_size, int64_t num_layer, bool bidirectional) {this->input_size = inp_size;
    this->hidden_size = hid_size;
    this->num_layers = num_layer;
    this->bidirectional = bidirectional;
    this->direction = bidirectional ? 2 : 1;
}

void Layer_LSTM::LoadState(MATFile *pmFile, const std::string &state_preffix) {for (int layer_idx = 0; layer_idx< this->num_layers; layer_idx++) {std::string weight_ih_name = state_preffix + "_weight_ih_l" + std::to_string(layer_idx);
        std::string bias_ih_name = state_preffix + "_bias_ih_l" + std::to_string(layer_idx);
        std::string weight_hh_name = state_preffix + "_weight_hh_l" + std::to_string(layer_idx);
        std::string bias_hh_name = state_preffix + "_bias_hh_l" + std::to_string(layer_idx);

        this->weight_ih.push_back(_load_mat(pmFile, weight_ih_name));
        this->bias_ih.push_back(_load_mat(pmFile, bias_ih_name));
        this->weight_hh.push_back(_load_mat(pmFile, weight_hh_name));
        this->bias_hh.push_back(_load_mat(pmFile, bias_hh_name));

        if (this->bidirectional) {std::string w_ih_reverse = state_preffix + "_weight_ih_l" + std::to_string(layer_idx) + "_reverse";
            std::string b_ih_reverse = state_preffix + "_bias_ih_l" + std::to_string(layer_idx) + "_reverse";
            std::string w_hh_reverse = state_preffix + "_weight_hh_l" + std::to_string(layer_idx) + "_reverse";
            std::string b_hh_reverse = state_preffix + "_bias_hh_l" + std::to_string(layer_idx) + "_reverse";

            this->weight_ih_reverse.push_back(_load_mat(pmFile, w_ih_reverse));
            this->bias_ih_reverse.push_back(_load_mat(pmFile, b_ih_reverse));
            this->weight_hh_reverse.push_back(_load_mat(pmFile, w_hh_reverse));
            this->bias_hh_reverse.push_back(_load_mat(pmFile, b_hh_reverse));
        }
    }
}

Eigen::TensorLayer_LSTM::_load_mat(MATFile *pmFile, const std::string &state_name) {mxArray *pa = matGetVariable(pmFile, state_name.c_str());
    auto *values = (float_t *) mxGetData(pa);
    long long dim1 = mxGetM(pa);
    long long dim2 = mxGetN(pa);
    Eigen::Tensormatrix(dim1, dim2);
    int idx = 0;
    for (int i = 0; i< dim2; i++) {for (int j = 0; j< dim1; j++) {matrix(j, i) = values[idx++];
        }
    }
    return matrix;
}


void Layer_LSTM::LoadTestState() {for (int layer = 0; layer< this->num_layers; layer++) {int64_t _ih_DIM = layer == 0 ? this->input_size : this->hidden_size * this->direction;
        Eigen::Tensorstate_w_ih(this->hidden_size * 4, _ih_DIM);
        Eigen::Tensorstate_w_hh(this->hidden_size * 4, this->hidden_size);
        Eigen::Tensorstate_b_ih(1, this->hidden_size * 4);
        Eigen::Tensorstate_b_hh(1, this->hidden_size * 4);
        state_w_ih.setConstant(2);
        state_w_hh.setConstant(2);
        state_b_ih.setConstant(1.0);
        state_b_hh.setConstant(1.0);
        this->weight_ih.push_back(state_w_ih);
        this->weight_hh.push_back(state_w_hh);
        this->bias_ih.push_back(state_b_ih);
        this->bias_hh.push_back(state_b_hh);

//        Eigen::Tensorstate_w_ih_reverse(this->hidden_size * 4, _ih_DIM);
//        Eigen::Tensorstate_w_hh_reverse(this->hidden_size * 4, this->hidden_size);
//        Eigen::Tensorstate_b_ih_reverse(1, this->hidden_size * 4);
//        Eigen::Tensorstate_b_hh_reverse(1, this->hidden_size * 4);
//        state_w_ih_reverse.setConstant(layer + 1);
//        state_w_hh_reverse.setConstant(layer + 2);
//        state_b_ih_reverse.setConstant(0.5);
//        state_b_hh_reverse.setConstant(1.0);
//        this->weight_ih_reverse.push_back(state_w_ih_reverse);
//        this->weight_hh_reverse.push_back(state_w_hh_reverse);
//        this->bias_ih_reverse.push_back(state_b_ih_reverse);
//        this->bias_hh_reverse.push_back(state_b_hh_reverse);
    }
}


Eigen::TensorLayer_LSTM::forward(Eigen::Tensor&input,
                                              std::vector>&h_t,
                                              std::vector>&c_t) {Eigen::Tensoroutput;
    if (this->bidirectional) {output = this->_bi_lstm(input, h_t, c_t);
    } else {output = this->_uni_lstm(input, h_t, c_t);
    }
    return output;
}

Eigen::TensorLayer_LSTM::_uni_lstm(Eigen::Tensor&input,
                                                vector>&h_t,
                                                vector>&c_t) {Eigen::Tensor::Dimensions dim_inp = input.dimensions();
    Eigen::Tensorout_pointer = input;
    if (h_t.empty() || c_t.empty()) {for (int idx_layer = 0; idx_layer< this->num_layers; idx_layer++) {Eigen::Tensorht_zeros(dim_inp[0], this->hidden_size);
            Eigen::Tensorct_zeros(dim_inp[0], this->hidden_size);
            ht_zeros.setZero();
            ct_zeros.setZero();
            h_t.push_back(ht_zeros);
            c_t.push_back(ct_zeros);
        }
    }
    for (int idx_layer = 0; idx_layer< this->num_layers; idx_layer++) {Eigen::Tensor::Dimensions dim_cur = out_pointer.dimensions();
        int64_t N_BATCH = dim_cur[0], N_TIME = dim_cur[1], N_FREQ = dim_cur[2], N_HIDDEN = this->hidden_size;
        Eigen::Tensorcur_w_ih = this->weight_ih[idx_layer];
        Eigen::Tensorcur_w_hh = this->weight_hh[idx_layer];
        Eigen::Tensorcur_b_ih = this->bias_ih[idx_layer].broadcast(Eigen::array{N_BATCH, 1});
        Eigen::Tensorcur_b_hh = this->bias_hh[idx_layer].broadcast(Eigen::array{N_BATCH, 1});
        Eigen::Tensor&cur_ht = h_t[idx_layer];
        Eigen::Tensor&cur_ct = c_t[idx_layer];
//        print2(cur_w_ih);
//        print2(cur_w_hh);
//        print2(cur_b_ih);
//        print2(cur_b_hh);
//        print2(cur_ht);
//        print2(cur_ct);

        Eigen::Tensoroutput(N_BATCH, N_TIME, N_HIDDEN);
        Eigen::TensorX_t;
        Eigen::Tensorgates;
        Eigen::Tensori_t, f_t, g_t, o_t;
        Eigen::array, 1>product_dims = {Eigen::IndexPair(1, 1)};
        Eigen::arraygate_patch = Eigen::array{N_BATCH, N_HIDDEN};
        for (int t = 0; t< N_TIME; t++) {X_t = out_pointer.chip(t, 1);
//            print2(X_t);
//            print2(X_t.contract(cur_w_ih, product_dims) + cur_b_ih);
//            print2(cur_ht.contract(cur_w_hh, product_dims) + cur_b_hh);
            gates = X_t.contract(cur_w_ih, product_dims) + cur_b_ih + cur_ht.contract(cur_w_hh, product_dims) +
                    cur_b_hh;
//            print2(gates);
            i_t = gates.slice(Eigen::array{0, N_HIDDEN * 0}, gate_patch).sigmoid();
            f_t = gates.slice(Eigen::array{0, N_HIDDEN * 1}, gate_patch).sigmoid();
            g_t = gates.slice(Eigen::array{0, N_HIDDEN * 2}, gate_patch).tanh();
            o_t = gates.slice(Eigen::array{0, N_HIDDEN * 3}, gate_patch).sigmoid();
//            print2(i_t);
//            print2(f_t);
//            print2(g_t);
//            print2(o_t);
            cur_ct = f_t * cur_ct + i_t * g_t;
            cur_ht = o_t * cur_ct.tanh();
//            print2(cur_ct);
//            print2(cur_ht);
            output.chip(t, 1) = cur_ht;
        }
        out_pointer = output;
    }
    return out_pointer;
}

Eigen::TensorLayer_LSTM::_bi_lstm(Eigen::Tensor&input,
                                               vector>&h_t,
                                               vector>&c_t) {Eigen::Tensor::Dimensions dim_inp = input.dimensions();
    Eigen::Tensorout_pointer = input;
    if (h_t.empty() || c_t.empty()) {for (int idx_layer = 0; idx_layer< this->num_layers * this->direction; idx_layer++) {Eigen::Tensorht_zeros(dim_inp[0], this->hidden_size);
            Eigen::Tensorct_zeros(dim_inp[0], this->hidden_size);
            ht_zeros.setZero();
            ct_zeros.setZero();
            h_t.push_back(ht_zeros);
            c_t.push_back(ct_zeros);
        }
    }
    for (int idx_layer = 0; idx_layer< this->num_layers; idx_layer++) {Eigen::Tensor::Dimensions dim_cur = out_pointer.dimensions();
        int64_t N_BATCH = dim_cur[0], N_TIME = dim_cur[1], N_FREQ = dim_cur[2], N_HIDDEN = this->hidden_size;
        Eigen::Tensorcur_w_ih = this->weight_ih[idx_layer];
        Eigen::Tensorcur_w_ih_reverse = this->weight_ih_reverse[idx_layer];
        Eigen::Tensorcur_w_hh = this->weight_hh[idx_layer];
        Eigen::Tensorcur_w_hh_reverse = this->weight_hh_reverse[idx_layer];
        Eigen::Tensorcur_b_ih = this->bias_ih[idx_layer].broadcast(Eigen::array{N_BATCH, 1});
        Eigen::Tensorcur_b_ih_reverse = this->bias_ih_reverse[idx_layer].broadcast(
                Eigen::array{N_BATCH, 1});
        Eigen::Tensorcur_b_hh = this->bias_hh[idx_layer].broadcast(Eigen::array{N_BATCH, 1});
        Eigen::Tensorcur_b_hh_reverse = this->bias_hh_reverse[idx_layer].broadcast(
                Eigen::array{N_BATCH, 1});

        Eigen::Tensor&cur_ht = h_t[idx_layer * 2];
        Eigen::Tensor&cur_ht_reverse = h_t[idx_layer * 2 + 1];
        Eigen::Tensor&cur_ct = c_t[idx_layer * 2];
        Eigen::Tensor&cur_ct_reverse = c_t[idx_layer * 2 + 1];
        // cout<< "cur_w_ih"<< endl<< cur_w_ih<< endl;
        // cout<< "cur_w_hh"<< endl<< cur_w_hh<< endl;
        // cout<< "cur_b_ih"<< endl<< cur_b_ih<< endl;
        // cout<< "cur_b_hh"<< endl<< cur_b_hh<< endl;
        // cout<< "cur_ht"<< endl<< cur_ht<< endl;
        // cout<< "cur_ct"<< endl<< cur_ct<< endl;

        Eigen::Tensoroutput(N_BATCH, N_TIME, N_HIDDEN);
        Eigen::Tensoroutput_reverse(N_BATCH, N_TIME, N_HIDDEN);
        Eigen::TensorX_t;
        Eigen::TensorX_t_reverse;
        Eigen::Tensorgates;
        Eigen::Tensorgates_reverse;
        Eigen::Tensori_t, f_t, g_t, o_t;
        Eigen::Tensori_t_reverse, f_t_reverse, g_t_reverse, o_t_reverse;
        Eigen::Tensorcur_cat;
        Eigen::array, 1>product_dims = {Eigen::IndexPair(1, 1)};
        Eigen::arraygate_patch = Eigen::array{N_BATCH, N_HIDDEN};
        for (int t = 0; t< N_TIME; t++) {X_t = out_pointer.chip(t, 1);
            X_t_reverse = out_pointer.chip(N_TIME - t - 1, 1);
            // cout<< "X_t"<< endl<< X_t<< endl;
            // cout<< "X_t_reverse"<< endl<< X_t_reverse<< endl;
            gates = X_t.contract(cur_w_ih, product_dims) + cur_b_ih + cur_ht.contract(cur_w_hh, product_dims) +
                    cur_b_hh;
            gates_reverse = X_t_reverse.contract(cur_w_ih_reverse, product_dims) + cur_b_ih_reverse +
                            cur_ht_reverse.contract(cur_w_hh_reverse, product_dims) +
                            cur_b_hh_reverse;
            i_t = gates.slice(Eigen::array{0, N_HIDDEN * 0}, gate_patch).sigmoid();
            f_t = gates.slice(Eigen::array{0, N_HIDDEN * 1}, gate_patch).sigmoid();
            g_t = gates.slice(Eigen::array{0, N_HIDDEN * 2}, gate_patch).tanh();
            o_t = gates.slice(Eigen::array{0, N_HIDDEN * 3}, gate_patch).sigmoid();
            i_t_reverse = gates_reverse.slice(Eigen::array{0, N_HIDDEN * 0}, gate_patch).sigmoid();
            f_t_reverse = gates_reverse.slice(Eigen::array{0, N_HIDDEN * 1}, gate_patch).sigmoid();
            g_t_reverse = gates_reverse.slice(Eigen::array{0, N_HIDDEN * 2}, gate_patch).tanh();
            o_t_reverse = gates_reverse.slice(Eigen::array{0, N_HIDDEN * 3}, gate_patch).sigmoid();


            cur_ct = f_t * cur_ct + i_t * g_t;
            cur_ht = o_t * cur_ct.tanh();
            cur_ct_reverse = f_t_reverse * cur_ct_reverse + i_t_reverse * g_t_reverse;
            cur_ht_reverse = o_t_reverse * cur_ct_reverse.tanh();
            output.chip(t, 1) = cur_ht;
            output_reverse.chip(N_TIME - t - 1, 1) = cur_ht_reverse;
        }

        out_pointer = output.concatenate(output_reverse, 2);
    }
    return out_pointer;
}

void Layer_LSTM::print2(Eigen::Tensorinput) {const Eigen::Tensor::Dimensions &dim_inp = input.dimensions();
    std::cout<< "Variable:"<< std::endl;
    // 0 0
    std::cout<< input(0, 0)<< " "<< input(0, 1)<< " "<< input(0, 2)<< " ";
    std::cout<< input(0, dim_inp[1] - 3)<< " "<< input(0, dim_inp[1] - 2)<< " "
   << input(0, dim_inp[1] - 1);
    std::cout<< std::endl;


    // 0 -1
    std::cout<< input(dim_inp[0] - 1, 0)<< " "<< input(dim_inp[0] - 1, 1)<< " "
   << input(dim_inp[0] - 1, 2)<< " ";
    std::cout<< input(dim_inp[0] - 1, dim_inp[1] - 3)<< " "<< input(dim_inp[0] - 1, dim_inp[1] - 2)
   << " "
   << input(dim_inp[0] - 1, dim_inp[1] - 1);
    std::cout<< std::endl;
}

void Layer_LSTM::print3(Eigen::Tensorinput) {const Eigen::Tensor::Dimensions &dim_inp = input.dimensions();
    std::cout<< "Variable:"<< std::endl;
    // 0 0
    std::cout<< input(0, 0, 0)<< " "<< input(0, 0, 1)<< " "<< input(0, 0, 2)<< " ";
    std::cout<< input(0, 0, dim_inp[2] - 3)<< " "<< input(0, 0, dim_inp[2] - 2)<< " "
   << input(0, 0, dim_inp[2] - 1);
    std::cout<< std::endl;


    // 0 -1
    std::cout<< input(0, dim_inp[1] - 1, 0)<< " "<< input(0, dim_inp[1] - 1, 1)<< " "
   << input(0, dim_inp[1] - 1, 2)<< " ";
    std::cout<< input(0, dim_inp[1] - 1, dim_inp[2] - 3)<< " "<< input(0, dim_inp[1] - 1, dim_inp[2] - 2)
   << " "
   << input(0, dim_inp[1] - 1, dim_inp[2] - 1);
    std::cout<< std::endl;
}

3.参考链接

[1] 实现LSTM-pytorch版

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