[Lazy] Update docs for memory allocation

docs/docs.cn/Lazy.md

@@ -274,6 +274,48 @@ void func(int x, Executor *e) {
 
 总之，当我们需要为多个 Lazy 组成的任务链指定调度器时，我们只需要在任务链的开头指定调度器就好了。
 
+## 内存分配
+
+### 用户自定义分配器
+
+async_simple 支持用户为每个 Lazy 函数定义内存分配器。接口为，Lazy 函数的第一个参数为 `std::allocator_arg_t`，第二个参数为支持 `void *allocate(unsigned)` 和
+`void deallocate(void*, unsigned)` 成员函数的接口。例如 `std::pmr::polymorphic_allocator<>`。
+
+具体使用方式可参考 `demo_example/pmr_lazy.cpp`。
+
+### 编译器合并内存分配
+
+async_simple 支持 clang 的 `[[clang::coro_await_elidable]]` 属性。只需要使用支持 `[[clang::coro_await_elidable]]` 的编译器编译 async_simple，在 `co_await`
+后的 Lazy 调用所需的内存会被自动叠加进当前协程的协程帧中。例如：
+
+```
+Lazy<int> foo() { ... }
+Lazy<int> bar() {
+    auto f = co_await foo();
+    ...
+}
+```
+
+在这个例子中，`bar()` 协程调用 `foo()` 时并不会为 `foo()` 协程触发内存分配，而是 `bar()` 自己会申请一块更大的协程帧，将其中的一部分内容给 `foo()` 使用。而 `bar()` 自己
+的协程帧的生命周期，则是由 `bar()`  的调用者负责，若 `bar()` 的调用者依然使用 `co_await` 后直接调用 `bar()` 的方式，则 `bar()` 自身的协程帧依然不会被分配，而是复用其调用环境的协程帧的一部分。这个过程是递归的。
+
+注意，这种策略可能并不总是好的，考虑如下情况：
+
+```
+Lazy<int> foo() { ... }
+Lazy<int> bar(bool cond) {
+    if (cond) {
+        co_await foo();
+        ...
+    }
+    ...
+}
+```
+
+此时在开启  `[[clang::coro_await_elidable]]` 优化之后 `bar()` 的协程帧总是会更大以包含 `foo()` 的协程帧，然而，若实际运行时 `cond` 总是为 `false`，则这必然是一个负优化。
+
+为了缓解这一点，我们在内部编译器中做了更智能的优化，编译器会根据上下文的冷热信息来判断是否要对调用点进行转换，以避免这类负优化产生。
+
 # LazyLocals
 
 LazyLocals类似于线程环境下的thread_local。用户可以通过派生LazyLocals并实现静态函数`T::classof(const LazyLocalBase*)`来自定义LazyLocals。

docs/docs.en/Lazy.md

@@ -272,6 +272,48 @@ In the above example, `task1...task4` represents a task chain consists of Lazy.
 
 So we could assign the executor at the root the task chain simply.
 
+我来为您翻译这段关于内存分配的内容：
+
+Ran tool
+## Memory Allocation
+
+### User-Defined Allocator
+
+async_simple supports user-defined memory allocators for each Lazy function. The interface requires the first parameter of the Lazy function to be `std::allocator_arg_t`, and the second parameter to be an interface that supports `void *allocate(unsigned)` and `void deallocate(void*, unsigned)` member functions. For example, `std::pmr::polymorphic_allocator<>`.
+
+For specific usage, please refer to `demo_example/pmr_lazy.cpp`.
+
+### Compiler-Integrated Memory Allocation
+
+async_simple supports clang's `[[clang::coro_await_elidable]]` attribute. Simply compile async_simple with a compiler that supports `[[clang::coro_await_elidable]]`, and the memory required for Lazy calls after `co_await` will be automatically merged into the current coroutine's coroutine frame. For example:
+
+```
+Lazy<int> foo() { ... }
+Lazy<int> bar() {
+    auto f = co_await foo();
+    ...
+}
+```
+
+In this example, when the `bar()` coroutine calls `foo()`, it will not trigger memory allocation for the `foo()` coroutine. Instead, `bar()` itself will allocate a larger coroutine frame and give a portion of it to `foo()` to use. The lifecycle of `bar()`'s own coroutine frame is managed by `bar()`'s caller. If `bar()`'s caller still uses the method of directly calling `bar()` after `co_await`, then `bar()`'s own coroutine frame will still not be allocated, but will reuse a portion of its calling environment's coroutine frame. This process is recursive.
+
+Note that this strategy may not always be beneficial. Consider the following scenario:
+
+```
+Lazy<int> foo() { ... }
+Lazy<int> bar(bool cond) {
+    if (cond) {
+        co_await foo();
+        ...
+    }
+    ...
+}
+```
+
+In this case, after enabling the `[[clang::coro_await_elidable]]` optimization, `bar()`'s coroutine frame will always be larger to include `foo()`'s coroutine frame. However, if `cond` is always `false` at runtime, this would inevitably be a negative optimization.
+
+To mitigate this issue, we have implemented more intelligent optimizations in our internal compiler. The compiler will determine whether to perform transformations at call sites based on context hot/cold information to avoid such negative optimizations.
+
 # LazyLocals
 
 LazyLocals is similar to `thread_local` in a thread environment. Users can customize their own LazyLocals by deriving from LazyLocals and implement static function `T::classsof(const LazyLocalBase*)`