diff --git a/example.py b/example.py
index 148f479..12765f8 100644
--- a/example.py
+++ b/example.py
@@ -3,49 +3,63 @@ from transformer import SimpleTransformer, create_padding_mask, create_look_ahea
 
 
 def main():
-    vocab_size = 1000
-    d_model = 512
-    num_heads = 8
-    num_layers = 6
-    d_ff = 2048
-    max_seq_len = 100
+    """主函数：演示Transformer模型的使用"""
     
+    # 模型超参数配置
+    vocab_size = 1000   # 词汇表大小
+    d_model = 512       # 模型维度（嵌入维度）
+    num_heads = 8       # 多头注意力的头数
+    num_layers = 6      # Transformer编码器层数
+    d_ff = 2048         # 前馈网络隐藏层维度
+    max_seq_len = 100   # 最大序列长度
+    
+    # 创建Transformer模型实例
     model = SimpleTransformer(vocab_size, d_model, num_heads, num_layers, d_ff, max_seq_len)
     
-    batch_size = 2
-    seq_len = 10
+    # 创建随机输入数据（模拟token ids）
+    batch_size = 2  # 批次大小
+    seq_len = 10    # 序列长度
     x = np.random.randint(0, vocab_size, (batch_size, seq_len))
     
-    print("=== Simple Transformer Example ===")
-    print(f"Vocabulary size: {vocab_size}")
-    print(f"Model dimension: {d_model}")
-    print(f"Number of heads: {num_heads}")
-    print(f"Number of layers: {num_layers}")
-    print(f"Feed-forward dimension: {d_ff}")
-    print(f"Max sequence length: {max_seq_len}")
+    # 打印模型配置信息
+    print("=== 简单Transformer示例 ===")
+    print(f"词汇表大小: {vocab_size}")
+    print(f"模型维度: {d_model}")
+    print(f"注意力头数: {num_heads}")
+    print(f"编码器层数: {num_layers}")
+    print(f"前馈网络维度: {d_ff}")
+    print(f"最大序列长度: {max_seq_len}")
     print()
     
-    print(f"Input shape: {x.shape}")
-    print(f"Input sample: {x[0]}")
+    # 打印输入信息
+    print(f"输入形状: {x.shape}")
+    print(f"输入样本: {x[0]}")
     print()
     
+    # 执行前向传播
     output = model.forward(x)
     
-    print(f"Output shape: {output.shape}")
-    print(f"Output sample (first 5 values): {output[0, 0, :5]}")
+    # 打印输出信息
+    print(f"输出形状: {output.shape}")
+    print(f"输出样本（前5个值）: {output[0, 0, :5]}")
     print()
     
+    # 打印模型参数统计
     total_params = model.count_parameters()
-    print(f"Total parameters: {total_params:,}")
+    print(f"总参数量: {total_params:,}")
     print()
     
-    print("=== Attention Mask Examples ===")
-    padding_mask = create_padding_mask(x)
-    print(f"Padding mask shape: {padding_mask.shape}")
+    # 演示掩码创建
+    print("=== 注意力掩码示例 ===")
     
+    # 填充掩码（用于忽略padding位置）
+    padding_mask = create_padding_mask(x)
+    print(f"填充掩码形状: {padding_mask.shape}")
+    
+    # 前瞻掩码（用于解码器，防止看到未来信息）
     look_ahead_mask = create_look_ahead_mask(seq_len)
-    print(f"Look-ahead mask shape: {look_ahead_mask.shape}")
-    print(f"Look-ahead mask sample:\n{look_ahead_mask[:5, :5]}")
+    print(f"前瞻掩码形状: {look_ahead_mask.shape}")
+    print(f"前瞻掩码示例:\n{look_ahead_mask[:5, :5]}")
 
 
 if __name__ == "__main__":
diff --git a/transformer.py b/transformer.py
index 5c3794b..a7770e8 100644
--- a/transformer.py
+++ b/transformer.py
@@ -2,155 +2,237 @@ import numpy as np
 
 
 def softmax(x, axis=-1):
+    """Softmax激活函数，用于将 logits 转换为概率分布"""
+    # 减去最大值防止数值溢出
     e_x = np.exp(x - np.max(x, axis=axis, keepdims=True))
     return e_x / np.sum(e_x, axis=axis, keepdims=True)
 
 
 def relu(x):
+    """ReLU激活函数"""
     return np.maximum(0, x)
 
 
 class Linear:
+    """全连接层（线性层）"""
     def __init__(self, in_features, out_features):
+        # 使用He初始化权重
         self.weight = np.random.randn(in_features, out_features) * np.sqrt(2.0 / in_features)
+        # 偏置初始化为0
         self.bias = np.zeros(out_features)
         
     def forward(self, x):
+        """前向传播：y = xW + b"""
         return x @ self.weight + self.bias
 
 
 class LayerNorm:
+    """层归一化（Layer Normalization）"""
     def __init__(self, d_model, eps=1e-6):
+        # 缩放参数
         self.gamma = np.ones(d_model)
+        # 偏移参数
         self.beta = np.zeros(d_model)
+        # 防止除零的小常数
         self.eps = eps
         
     def forward(self, x):
+        """前向传播：对最后一个维度进行归一化"""
         mean = np.mean(x, axis=-1, keepdims=True)
         std = np.std(x, axis=-1, keepdims=True)
         return self.gamma * (x - mean) / (std + self.eps) + self.beta
 
 
 class MultiHeadAttention:
+    """多头注意力机制"""
     def __init__(self, d_model, num_heads):
-        self.d_model = d_model
-        self.num_heads = num_heads
-        self.d_k = d_model // num_heads
+        self.d_model = d_model  # 模型维度
+        self.num_heads = num_heads  # 注意力头数
+        self.d_k = d_model // num_heads  # 每个头的维度
         
-        self.W_q = Linear(d_model, d_model)
-        self.W_k = Linear(d_model, d_model)
-        self.W_v = Linear(d_model, d_model)
-        self.W_o = Linear(d_model, d_model)
+        # 定义Q、K、V的线性变换层
+        self.W_q = Linear(d_model, d_model)  # Query变换
+        self.W_k = Linear(d_model, d_model)  # Key变换
+        self.W_v = Linear(d_model, d_model)  # Value变换
+        self.W_o = Linear(d_model, d_model)  # 输出变换
         
     def forward(self, Q, K, V, mask=None):
+        """
+        前向传播
+        Q: Query张量 [batch_size, seq_len, d_model]
+        K: Key张量 [batch_size, seq_len, d_model]
+        V: Value张量 [batch_size, seq_len, d_model]
+        mask: 注意力掩码
+        """
         batch_size = Q.shape[0]
         seq_len = Q.shape[1]
         
+        # 线性变换并分割成多头
         Q = self.W_q.forward(Q).reshape(batch_size, seq_len, self.num_heads, self.d_k).transpose(0, 2, 1, 3)
         K = self.W_k.forward(K).reshape(batch_size, seq_len, self.num_heads, self.d_k).transpose(0, 2, 1, 3)
         V = self.W_v.forward(V).reshape(batch_size, seq_len, self.num_heads, self.d_k).transpose(0, 2, 1, 3)
         
+        # 计算缩放点积注意力分数
         attn_scores = Q @ K.transpose(0, 1, 3, 2) / np.sqrt(self.d_k)
+        
+        # 应用掩码（如果提供）
         if mask is not None:
             attn_scores = np.where(mask == 0, -1e9, attn_scores)
+        
+        # Softmax得到注意力权重
         attn_probs = softmax(attn_scores, axis=-1)
+        
+        # 加权求和
         attn_output = attn_probs @ V
         
+        # 拼接多头输出
         attn_output = attn_output.transpose(0, 2, 1, 3).reshape(batch_size, seq_len, self.d_model)
+        
+        # 最终线性变换
         output = self.W_o.forward(attn_output)
         return output
 
 
 class FeedForward:
+    """前馈神经网络（两层全连接网络）"""
     def __init__(self, d_model, d_ff):
+        # 第一层：扩展维度
         self.linear1 = Linear(d_model, d_ff)
+        # 第二层：恢复维度
         self.linear2 = Linear(d_ff, d_model)
         
     def forward(self, x):
+        """前向传播：线性 -> ReLU -> 线性"""
         return self.linear2.forward(relu(self.linear1.forward(x)))
 
 
 class TransformerBlock:
+    """Transformer编码器块"""
     def __init__(self, d_model, num_heads, d_ff):
+        # 多头自注意力层
         self.attention = MultiHeadAttention(d_model, num_heads)
+        # 前馈网络层
         self.feed_forward = FeedForward(d_model, d_ff)
+        # 两个层归一化
         self.norm1 = LayerNorm(d_model)
         self.norm2 = LayerNorm(d_model)
         
     def forward(self, x, mask=None):
+        """
+        前向传播（残差连接 + 层归一化）
+        1. 自注意力 -> 残差连接 -> 层归一化
+        2. 前馈网络 -> 残差连接 -> 层归一化
+        """
+        # 自注意力子层
         attn_output = self.attention.forward(x, x, x, mask)
         x = self.norm1.forward(x + attn_output)
+        
+        # 前馈网络子层
         ff_output = self.feed_forward.forward(x)
         x = self.norm2.forward(x + ff_output)
         return x
 
 
 class SimpleTransformer:
+    """简化的Transformer编码器模型"""
     def __init__(self, vocab_size, d_model, num_heads, num_layers, d_ff, max_seq_len):
         self.d_model = d_model
+        # 词嵌入层
         self.embedding = np.random.randn(vocab_size, d_model) * 0.01
+        # 位置编码
         self.positional_encoding = self._create_positional_encoding(max_seq_len, d_model)
+        # Transformer编码器层堆叠
         self.transformer_blocks = [
             TransformerBlock(d_model, num_heads, d_ff) for _ in range(num_layers)
         ]
         
     def _create_positional_encoding(self, max_seq_len, d_model):
+        """
+        创建正弦余弦位置编码
+        使用不同频率的正弦和余弦函数生成位置信息
+        """
         pe = np.zeros((max_seq_len, d_model))
         position = np.arange(0, max_seq_len).reshape(-1, 1).astype(float)
         div_term = np.exp(np.arange(0, d_model, 2).astype(float) * -(np.log(10000.0) / d_model))
-        pe[:, 0::2] = np.sin(position * div_term)
-        pe[:, 1::2] = np.cos(position * div_term)
+        pe[:, 0::2] = np.sin(position * div_term)  # 偶数维度用正弦
+        pe[:, 1::2] = np.cos(position * div_term)  # 奇数维度用余弦
         return pe
         
     def forward(self, x, mask=None):
+        """
+        前向传播
+        x: 输入序列 [batch_size, seq_len]
+        mask: 注意力掩码
+        """
         seq_len = x.shape[1]
+        
+        # 词嵌入 + 缩放
         x = self.embedding[x] * np.sqrt(self.d_model)
+        
+        # 加上位置编码
         x = x + self.positional_encoding[:seq_len, :]
         
+        # 通过所有Transformer块
         for block in self.transformer_blocks:
             x = block.forward(x, mask)
             
         return x
     
     def count_parameters(self):
+        """统计模型参数数量"""
         count = 0
-        count += self.embedding.size
+        count += self.embedding.size  # 嵌入层参数
         for block in self.transformer_blocks:
+            # 注意力层参数
             count += block.attention.W_q.weight.size + block.attention.W_q.bias.size
             count += block.attention.W_k.weight.size + block.attention.W_k.bias.size
             count += block.attention.W_v.weight.size + block.attention.W_v.bias.size
             count += block.attention.W_o.weight.size + block.attention.W_o.bias.size
+            # 前馈网络参数
             count += block.feed_forward.linear1.weight.size + block.feed_forward.linear1.bias.size
             count += block.feed_forward.linear2.weight.size + block.feed_forward.linear2.bias.size
+            # 层归一化参数
             count += block.norm1.gamma.size + block.norm1.beta.size
             count += block.norm2.gamma.size + block.norm2.beta.size
         return count
 
 
 def create_padding_mask(seq, pad_idx=0):
+    """
+    创建填充掩码
+    用于忽略序列中的填充位置（padding tokens）
+    """
     return (seq != pad_idx).astype(float)[:, np.newaxis, np.newaxis, :]
 
 
 def create_look_ahead_mask(size):
+    """
+    创建前瞻掩码（下三角掩码）
+    用于解码器中，防止位置i看到i之后的信息
+    """
     mask = np.triu(np.ones((size, size)), k=1).astype(bool)
     return (~mask).astype(float)
 
 
 if __name__ == "__main__":
-    vocab_size = 1000
-    d_model = 512
-    num_heads = 8
-    num_layers = 6
-    d_ff = 2048
-    max_seq_len = 100
+    # 模型超参数
+    vocab_size = 1000   # 词汇表大小
+    d_model = 512       # 模型维度
+    num_heads = 8       # 注意力头数
+    num_layers = 6      # Transformer层数
+    d_ff = 2048         # 前馈网络隐藏层维度
+    max_seq_len = 100   # 最大序列长度
     
+    # 创建模型
     model = SimpleTransformer(vocab_size, d_model, num_heads, num_layers, d_ff, max_seq_len)
     
+    # 创建随机输入
     batch_size = 2
     seq_len = 10
     x = np.random.randint(0, vocab_size, (batch_size, seq_len))
     
+    # 前向传播
     output = model.forward(x)
-    print(f"Input shape: {x.shape}")
-    print(f"Output shape: {output.shape}")
-    print(f"Model parameters: {model.count_parameters():,}")
\ No newline at end of file
+    print(f"输入形状: {x.shape}")
+    print(f"输出形状: {output.shape}")
+    print(f"模型参数量: {model.count_parameters():,}")
\ No newline at end of file