From 842b5f5f79785b055b495db99f6ba269e022b4bc Mon Sep 17 00:00:00 2001 From: zjuchujinjin <10746161@qq.com> Date: Sat, 25 Mar 2023 14:13:50 +0800 Subject: [PATCH] update ch05 (#432) Co-authored-by: chujinjin Co-authored-by: Jiarong Han --- .../compute_schedule_and_execute.md | 19 +- .../graph_optimizer.md | 15 +- chapter_backend_and_runtime/index.md | 8 +- .../kernel_selecter.md | 25 +-- .../memory_allocator.md | 41 ++-- chapter_backend_and_runtime/op_compiler.md | 193 ++++++++++++++++++ chapter_backend_and_runtime/overview.md | 8 +- chapter_backend_and_runtime/summary.md | 5 +- img/ch05/SIMD.png | Bin 0 -> 30957 bytes img/ch05/SIMT.png | Bin 0 -> 67141 bytes img/ch05/memory_architecture.png | Bin 0 -> 108296 bytes img/ch05/parallel_computing.png | Bin 0 -> 259375 bytes img/ch05/poly.png | Bin 0 -> 62100 bytes img/ch05/poly_test.png | Bin 0 -> 37306 bytes 14 files changed, 248 insertions(+), 66 deletions(-) create mode 100644 chapter_backend_and_runtime/op_compiler.md create mode 100644 img/ch05/SIMD.png create mode 100644 img/ch05/SIMT.png create mode 100644 img/ch05/memory_architecture.png create mode 100644 img/ch05/parallel_computing.png create mode 100644 img/ch05/poly.png create mode 100644 img/ch05/poly_test.png diff --git a/chapter_backend_and_runtime/compute_schedule_and_execute.md b/chapter_backend_and_runtime/compute_schedule_and_execute.md index 3d191bd..9bdb12b 100644 --- a/chapter_backend_and_runtime/compute_schedule_and_execute.md +++ b/chapter_backend_and_runtime/compute_schedule_and_execute.md @@ -4,7 +4,7 @@ ### 单算子调度 -单算子调度是相对于计算图而言,算法或者模型中包含的算子通过Python语言的运行时被逐个调度执行。例如PyTorch的默认执行方式,TensorFlow的eager模式,以及MindSpore的PyNative模式。以如下MindSpore示例代码所示: +单算子调度是相对于计算图而言,算法或者模型中包含的算子通过Python语言的运行时被逐个调度执行。例如PyTorch的默认执行方式,TensorFlow的eager模式,以及MindSpore的PyNative模式。以MindSpore为例,如代码所示。 ```python import mindspore.nn as nn @@ -29,7 +29,7 @@ print(c) 上述脚本将所有的计算逻辑定义在Computation类的construct方法中,由于在脚本开头的context中预先设置了单算子执行模式,construct中的计算将被Python的运行时逐行调用执行,同时可以在代码中的任意位置添加print命令以便打印中间的计算结果。 -单算子执行的调用链路如 :numref:`single_op_exec`所示,算子在Python侧被触发执行后,会经过AI框架初始化,其中需要确定包括算子的精度,输入与输出的类型和大小以及对应的硬件设备等信息,接着框架会为该算子分配计算所需的内存,最后交给具体的硬件计算设备完成计算的执行。 +单算子执行的调用链路如 :numref:`single_op_exec`所示,算子在Python侧被触发执行后,会经过机器学习框架初始化,其中需要确定包括算子的精度,输入与输出的类型和大小以及对应的硬件设备等信息,接着框架会为该算子分配计算所需的内存,最后交给具体的硬件计算设备完成计算的执行。 ![单算子执行](../img/ch05/single_op_exec.PNG) :width:`800px` @@ -65,7 +65,7 @@ print(c) 异构计算图能够被正确表达的首要条件是准确标识算子执行所在的设备,例如异构计算图 :numref:`computation_graph`中所标识的CPU、GPU和Ascend Kernel,以及被标记为被Python语言运行时执行的Python -Kernel。主流框架均提供了指定算子所在运行设备的能力,以MindSpore为例,一段简单的异构计算代码如下所示: +Kernel。主流框架均提供了指定算子所在运行设备的能力,以MindSpore为例,一段简单的异构计算代码如下所示。 ```python import numpy as np @@ -92,13 +92,12 @@ z = Tensor(np.ones([2, 2]).astype(np.float32)) output = compute(x, y, z) ``` -上述代码片段完成了x + y - -z的计算逻辑,其中Add算子被设置为在CPU上执行,Sub算子被设置为在GPU上执行,从而形成了CPU与GPU协同的异构计算,通过类似的标签机制,可以实现任意复杂的多硬件协同的异构计算表达。 -另外一类较为特殊的异构是Python算子,Python语言的优势在于表达的灵活性和开发效率,以及丰富的周边生态,因此将Python算子引入到计算图中和其它异构硬件的算子协同计算,对计算的灵活性会产生非常大的帮助。与CPU、GPU分别执行在不同设备上的异构不同,Python算子和C++实现的CPU算子都是通过主机侧的CPU核执行,差异在于Python算子是通过统一的计算图进行描述,因此也需要在计算图的执行引擎中被触发执行。为了在计算图中能够表达Python算子,框架需要提供相应的支持。 +上述代码片段完成了x + y - z的计算逻辑,其中Add算子被设置为在CPU上执行,Sub算子被设置为在GPU上执行,从而形成了CPU与GPU协同的异构计算,通过类似的标签机制,可以实现任意复杂的多硬件协同的异构计算表达。 +另外一类较为特殊的异构是Python算子,Python语言的优势在于表达的灵活性和开发效率,以及丰富的周边生态,因此将Python算子引入到计算图中和其他异构硬件的算子协同计算,对计算的灵活性会产生非常大的帮助。与CPU、GPU分别执行在不同设备上的异构不同,Python算子和C++实现的CPU算子都是通过主机侧的CPU核执行,差异在于Python算子是通过统一的计算图进行描述,因此也需要在后端运行时中触发执行。为了在计算图中能够表达Python算子,框架需要提供相应的支持。 -完成计算图中算子对应设备的标记以后,计算图已经准备好被调度与执行,根据硬件能力的差异,可以将异构计算图的执行分为三种模式,分别是逐算子交互式执行,整图下沉执行与子图下沉执行。交互式执行主要针对CPU和GPU的场景,计算图中的算子按照输入和输出的依赖关系被逐个调度与执行;而整图下沉执行模式主要是针对NPU芯片而言,这类芯片主要的优势是能够将整个神经网络的计算图一次性下发到设备上,无需借助主机的CPU能力而独立完成计算图中所有算子的调度与执行,减少了主机和芯片的交互次数,借助NPU的Tensor加速能力,提高了计算效率和性能;子图下沉执行模式是前面两种执行模式的结合,由于计算图自身表达的灵活性,对于复杂场景的计算图在NPU芯片上进行整图下沉执行的效率不一定能达到最优,因此可以将对于NPU芯片执行效率低下的部分分离出来,交给CPU或者GPU等执行效率更高的设备处理,而将部分更适合NPU计算的子图下沉到NPU进行计算,这样可以兼顾性能和灵活性两方面。 +完成计算图中算子对应设备的标记以后,计算图已经准备好被调度与执行,根据硬件能力的差异,可以将异构计算图的执行分为三种模式,分别是逐算子交互式执行,整图下沉执行与子图下沉执行。交互式执行主要针对CPU和GPU的场景,计算图中的算子按照输入和输出的依赖关系被逐个调度与执行;而整图下沉执行模式主要是针对NPU芯片而言,这类芯片主要的优势是能够将整个神经网络的计算图一次性下发到设备上,无需借助主机的CPU能力而独立完成计算图中所有算子的调度与执行,减少了主机和芯片的交互次数,借助NPU的张量加速能力,提高了计算效率和性能;子图下沉执行模式是前面两种执行模式的结合,由于计算图自身表达的灵活性,对于复杂场景的计算图在NPU芯片上进行整图下沉执行的效率不一定能达到最优,因此可以将对于NPU芯片执行效率低下的部分分离出来,交给CPU或者GPU等执行效率更高的设备处理,而将部分更适合NPU计算的子图下沉到NPU进行计算,这样可以兼顾性能和灵活性两方面。 -上述异构计算图可以实现两个目的,一个是异构硬件加速,将特定的计算放置到合适的硬件上执行;第二个是实现算子间的并发执行,从计算图上可以看出,Kernel_1和Kernel_2之间没有依赖关系,Kernel_3和Kernel_4之间也没有依赖关系,因此这两组CPU和GPU算子在逻辑上可以被框架并发调用,而Kernel_5依赖Kernel_3和Kernel_4的输出作为输入,因此Kernel_5需要等待Kernel_3和Kernel_4执行完成后再被触发执行。 +上述异构计算图可以实现两个目的,一个是异构硬件加速,将特定的计算放置到合适的硬件上执行;第二个是实现算子间的并发执行,从计算图上可以看出,kernel_1和kernel_2之间没有依赖关系,kernel_3和kernel_4之间也没有依赖关系,因此这两组CPU和GPU算子在逻辑上可以被框架并发调用,而kernel_5依赖kernel_3和kernel_4的输出作为输入,因此kernel_5需要等待kernel_3和kernel_4执行完成后再被触发执行。 虽然在计算图上可以充分表达算子间的并发关系,在实际代码中会产生由于并发而引起的一些不预期的副作用场景,例如如下代码所示: @@ -132,13 +131,13 @@ compute(y, z) x = x - y ``` -这段简单的计算逻辑翻译到计算图上可以表示为: +这段简单的计算逻辑翻译到计算图上可以表示为 :numref:`side_effect_1`所示。 ![并发算子执行](../img/ch05/side_effect_1.png) :width:`800px` :label:`side_effect_1` -代码中所示三行计算之间并没有依赖关系,因此这三个算子在计算图的逻辑上可以被并发执行,并发关系如 :numref:`side_effect_1`所示,然而根据代码的语义,显而易见是需要确保程序能够被顺序执行,这里引入的问题被称为副作用,副作用是指函数修改了在函数外部定义的状态变量的行为。由于副作用的引入而导致了错误并发关系的发生,一种解决方案是在计算图编译阶段通过添加算子间的依赖,将并发执行逻辑转换为顺序执行逻辑,转换后的计算图如 :numref:`side_effect_2`所示: +代码中所示三行计算之间并没有依赖关系,因此这三个算子在计算图的逻辑上可以被并发执行,然而根据代码的语义,显而易见是需要确保程序能够被顺序执行,这里引入的问题被称为副作用,副作用是指修改了在函数外部定义的状态变量的行为。由于副作用的引入而导致了错误并发关系的发生,一种解决方案是在计算图编译阶段通过添加算子间的依赖,将并发执行逻辑转换为顺序执行逻辑,转换后的计算图如 :numref:`side_effect_2`所示。 ![消除副作用](../img/ch05/side_effect_2.png) :width:`800px` diff --git a/chapter_backend_and_runtime/graph_optimizer.md b/chapter_backend_and_runtime/graph_optimizer.md index 1d8bb27..68475f7 100644 --- a/chapter_backend_and_runtime/graph_optimizer.md +++ b/chapter_backend_and_runtime/graph_optimizer.md @@ -4,25 +4,20 @@ ### 通用硬件优化 -通用硬件优化主要指与特定硬件类型无关系的计算图优化,优化的核心是子图的等价变换:在计算图中尝试匹配特定的子图结构,找到目标子图结构后,通过等价替换方式,将其替换成对硬件更友好的子图结构。 +通用硬件优化主要指与特定硬件类型无关的计算图优化,优化的核心是子图的等价变换:在计算图中尝试匹配特定的子图结构,找到目标子图结构后,通过等价替换方式,将其替换成对硬件更友好的子图结构。 以优化内存IO为例。深度学习算子按其对资源的需求可以分为两类: 计算密集型算子,这些算子的时间绝大部分花在计算上,如卷积、全连接等; -访存密集型算子,这些算子的时间绝大部分花在访存上,他们大部分是Element-Wise算子,例如 -ReLU、Element-Wise Sum等。 -在典型的深度学习模型中,一般计算密集型和访存密集型算子是相伴出现的,最简单的例子是"Conv + -ReLU"。Conv卷积算子是计算密集型,ReLU算子是访存密集型算子,ReLU算子可以直接取Conv算子的计算结果进行计算,因此我们可以将二者融合成一个算子来进行计算,从而减少内存访问延时和带宽压力,提高执行效率。 +访存密集型算子,这些算子的时间绝大部分花在访存上,他们大部分是Element-Wise算子,例如 ReLU、Element-Wise Sum等。 +在典型的深度学习模型中,一般计算密集型和访存密集型算子是相伴出现的,最简单的例子是“Conv + ReLU”。Conv卷积算子是计算密集型,ReLU算子是访存密集型算子,ReLU算子可以直接取Conv算子的计算结果进行计算,因此可以将二者融合成一个算子来进行计算,从而减少内存访问延时和带宽压力,提高执行效率。 -例如:"Conv + Conv + Sum + -ReLU"的融合,从 :numref:`conv_sum_relu`中我们可以看到融合后的算子减少了两个内存的读和写的操作,优化了Conv的输出和Sum的输出的读和写的操作。 +例如:“Conv + Conv + Sum + ReLU”的融合,从图\ref{fig:ch07/ch07-compiler-backend-03}中可以看到融合后的算子减少了两个内存的读和写的操作,优化了Conv的输出和Sum的输出的读和写的操作。 ![Elementwise算子融合](../img/ch05/conv_sum_relu.png) :width:`800px` :label:`conv_sum_relu` -除了上述针对特定算子类型结构的融合优化外,基于自动算子生成技术,还可以实现更灵活、更极致的通用优化。以 -MindSpore -的图算融合技术为例,图算融合通过"算子拆解、算子聚合、算子重建"三个主要阶段(如图)让计算图中的计算更密集,并进一步减少低效的内存访问。 +除了上述针对特定算子类型结构的融合优化外,基于自动算子生成技术,还可以实现更灵活、更极致的通用优化。以 MindSpore 的图算融合技术为例,图算融合通过“算子拆解、算子聚合、算子重建”三个主要阶段让计算图中的计算更密集,并进一步减少低效的内存访问。 ![图算融合](../img/ch05/graph_kernel.png) :width:`800px` diff --git a/chapter_backend_and_runtime/index.md b/chapter_backend_and_runtime/index.md index 5d166f9..e52d5a8 100644 --- a/chapter_backend_and_runtime/index.md +++ b/chapter_backend_and_runtime/index.md @@ -1,9 +1,8 @@ # 编译器后端和运行时 -在上一章节,我们详细讲述了一个编译器前端的主要功能,重点介绍了中间表示以及自动微分。在得到中间表示后,如何充分利用硬件资源高效地执行,是编译器后端和运行时要解决的问题。 +在上一章节,详细讲述了一个AI编译器前端的主要功能,重点介绍了中间表示以及自动微分。在得到中间表示后,如何充分利用硬件资源高效地执行,是编译器后端和运行时要解决的问题。 -在本章节中, -我们将会介绍编译器后端的一些基本概念,详细描述后端的计算图优化、算子选择等流程。通过对编译器前端提供的中间表示进行优化,充分发挥硬件能力,从而提高程序的执行效率。在此基础上,介绍运行时是如何对计算任务进行内存分配以及高效的调度执行。 +在本章节中, 将会介绍AI编译器后端的一些基本概念,详细描述后端的计算图优化、算子选择等流程。通过对编译器前端提供的中间表示进行优化,充分发挥硬件能力,从而提高程序的执行效率。在此基础上,介绍运行时是如何对计算任务进行内存分配以及高效地调度执行。 本章的学习目标包括: @@ -17,6 +16,8 @@ - 掌握计算图调度和执行的常用方法 +- 了解目前算子编译器的基本特点以及其尚未收敛的几个问题 + ```toc :maxdepth: 2 @@ -25,5 +26,6 @@ graph_optimizer kernel_selecter memory_allocator compute_schedule_and_execute +op_compiler summary ``` \ No newline at end of file diff --git a/chapter_backend_and_runtime/kernel_selecter.md b/chapter_backend_and_runtime/kernel_selecter.md index 57a1d0e..869f607 100644 --- a/chapter_backend_and_runtime/kernel_selecter.md +++ b/chapter_backend_and_runtime/kernel_selecter.md @@ -1,10 +1,10 @@ ## 算子选择 -经过计算图优化后,需要对IR图上的每个节点进行算子选择,才能生成真正在设备上执行的算子序列。由于IR图上的节点可能有后端的很多算子与其对应,不同规格的算子在不同的情况下执行效率各不相同,在算子选择阶段的主要任务就是如何根据IR图中的信息在众多算子中选择出最合适的一个算子去目标设备上执行。 +过计算图优化后,需要对IR图上的每个节点进行算子选择,才能生成真正在设备上执行的算子序列。由于IR图上的节点可能有后端的很多算子与其对应,不同规格的算子在不同的情况下执行效率各不相同,在算子选择阶段的主要任务就是如何根据IR图中的信息在众多算子中选择出最合适的一个算子去目标设备上执行。 ### 算子选择的基础概念 -经历了后端的图优化后,IR图中的每一个节点都有一组算子与之对应。此时的IR图中的每一个节点可以认为是用户可见的最小硬件执行单元。但是此时IR图中的一个节点代表了用户代码的一个操作,对于这个操作还没有具体生成有关设备信息的细节描述。这些信息是算子选择所选择的内容信息,我们称之为算子信息。算子信息主要包括以下内容: +经历了后端的图优化后,IR图中的每一个节点都有一组算子与之对应。此时的IR图中的每一个节点可以认为是用户可见的最小硬件执行单元,代表了用户代码的一个操作,对于这个操作还没有具体生成有关设备信息的细节描述。这些信息是算子选择所选择的内容信息,称之为算子信息。算子信息主要包括以下内容: 1. 针对不同特点的计算平台和不同的算子,为了追求最好的性能,一般都需要选择不同的数据排布格式。机器学习系统常见的数据排布格式有NCHW和NHWC等。 @@ -19,17 +19,17 @@ :width:`800px` :label:`matmuldatalayout` -在机器学习系统中我们常见的数据格式一般有两种,分别为NCHW类型和NHWC类型。其中N代表了数据输入的BatchSize大小,C代表了图像的通道,H和W分别代表图像输入的长和宽。 :numref:`data_format`展示了BatchSize为2,通道数16和长度为5\*4大小的数据逻辑示意图。 +在机器学习系统中常见的数据格式一般有两种,分别为NCHW类型和NHWC类型。其中N代表了数据输入的批大小,C代表了图像的通道,H和W分别代表图像输入的高和宽。:numref:`data_format`展示了BatchSize为2,通道数16和大小为5\*4的数据逻辑示意图。 ![常见数据格式](../img/ch05/data_format.png) :width:`800px` :label:`data_format` -但是计算机的存储并不能够直接将这样的矩阵放到内存中,需要将其展平成1维后存储,这样就涉及我们逻辑上的索引如何映射成为内存中的索引,即我们如何根据逻辑数据索引来映射到内存中的1维数据索引。 +但是计算机的存储并不能够直接将这样的矩阵放到内存中,需要将其展平成1维后存储,这样就涉及逻辑上的索引如何映射成为内存中的索引,即如何根据逻辑数据索引来映射到内存中的1维数据索引。 对于NCHW的数据是先取W轴方向数据,再取H轴方向数据,再取C轴方向,最后取N轴方向。其中物理存储与逻辑存储的之间的映射关系为 $$offsetnchw(n,c,h,w) = n*CHW + c*HW + h*W +w$$ -如 :numref:`nchw`所示,这种格式中,是按照最低维度W轴方向进行展开,W轴相邻的元素在内存排布中同样是相邻的。如果需要取下一个图片上的相同位置的元素,就必须跳过整个图像的尺寸($C*H*W$)。比如我有8张32\*32的RGB图像,此时$N=8,C=3,H=32,W=32$。在内存中存储它们需要先按照W轴方向进行展开,然后按照H轴排列,这样之后便完成了一个通道的处理,之后按照同样的方式处理下一个通道。处理完全部通道后,处理下一张图片。PyTorch和MindSpore框架默认使用NCHW格式。 +如 :numref:`nchw`所示,这种格式中,是按照最低维度W轴方向进行展开,W轴相邻的元素在内存排布中同样是相邻的。如果需要取下一个图片上的相同位置的元素,就必须跳过整个图像的尺寸($C*H*W$)。比如有8张32\*32的RGB图像,此时$N=8,C=3,H=32,W=32$。在内存中存储它们需要先按照W轴方向进行展开,然后按照H轴排列,这样之后便完成了一个通道的处理,之后按照同样的方式处理下一个通道。处理完全部通道后,处理下一张图片。PyTorch和MindSpore框架默认使用NCHW格式。 ![RGB图片下的NHWC数据格式](../img/ch05/nchw.png) :width:`800px` @@ -49,38 +49,35 @@ $$offsetnhwc(n,h,w,c) = n*HWC + h*WC + w*C +c$$ **数据精度** -通常深度学习的系统,一般使用的是单精度float(Single -Precision)浮点表示。这种数据类型占用32位内存。还有一种精度较低的数据类型float16,其内部占用了16位的内存。由于很多硬件会对float16数据类型进行优化,float16半精度的计算吞吐量可以是float32的$2\sim 8$倍,且float16可以占用的数据更小,这样可以输入更大的BatchSize,进而减少总体训练时间。接下来我们详细看一下半精度浮点数与单精度浮点数的区别。 +通常深度学习的系统,使用的是单精度(float32)表示。这种数据类型占用32位内存。还有一种精度较低的数据类型为半精度(float16),其内部占用了16位的内存。由于很多硬件会对半精度数据类型进行优化,半精度的计算吞吐量可以是单精度的$2\sim 8$倍,且半精度占用的内存更小,这样可以输入更大的批大小(BatchSize),进而减少总体训练时间。接下来详细看一下半精度浮点数与精度浮点数的区别。 ![浮点数的二进制表示](../img/ch05/floatdtype.png) :width:`800px` :label:`floatdtype` -如 :numref:`floatdtype`其中sign代表符号位,占1位,表示了机器数的正负,exponent表示指数位,Mantissa为尾数位。其中float16类型的数据采用二进制的科学计数法转换为十进制的计算方式如下: -$$(-1)^{sign}\times 2^{exponent-15}\times (\frac{mantissa}{1024}+1)$$ +如 :numref:`floatdtype`中Sig代表符号位,占1位,表示了机器数的正负,Exponent表示指数位,Mantissa为尾数位。其中float16类型的数据采用二进制的科学计数法转换为十进制的计算方式如式$$(-1)^{sign}\times 2^{exponent-15}\times (\frac{mantissa}{1024}+1)$$所示。 其中如果指数位全为0时,且尾数位全为0时表示数字0。 如果指数位全为0,尾数位不全为0则表示一个非常小的数值。 当指数全为1,尾数位全为0表示根据符号位正无穷大,或者负无穷大。 若指数全为1,但是尾数位不为0,则表示NAN。 -其中bfloat16并不属于一个通用的数据类型,是google提出的一种特殊的类型,现在一般只在一些TPU上训练使用,其指数位数与float32位数保持一致,可以较快的与float32进行数据转换。由于并不是一种通用类型。IEEE中也并没有提出该类型的标准。 +其中bfloat16并不属于一个通用的数据类型,是Google提出的一种特殊的类型,现在一般只在一些TPU上训练使用,其指数位数与float32位数保持一致,可以较快的与float32进行数据转换。由于bfloat16并不是一种通用类型,IEEE中也并没有提出该类型的标准。 **算子信息库** -前面我们讲述了数据格式和数据精度的概念,基于这两个概念,在不同硬件下会有不同的算子支持,此时需要有一个硬件上支持的所有算子的集合,该集合我们称之为算子信息库。算子选择过程就是从算子信息库中选择最合适的算子的过程。 +前面讲述了数据格式和数据精度的概念,基于这两个概念,在不同硬件下会有不同的算子支持,一个硬件上支持的所有算子的集合定义为该硬件的算子信息库。算子选择过程就是从算子信息库中选择最合适算子的过程。 ### 算子选择的过程 前文介绍了算子选择主要是针对IR图中的每一个操作节点选择出最为合适的算子。其中算子信息主要包括了支持设备类型、数据类型和数据排布格式三个方面。经过编译器前端类型推导与静态分析的阶段后,IR图中已经推导出了用户代码侧的数据类型。下面介绍算子选择的基本过程。 -首先,选择算子执行的硬件设备。不同的硬件设备上,算子的实现、支持数据类型、执行效率通常会有所差别。这一步往往是用户自己指定的,若用户未指定,则编译器后端会为用户匹配一个默认的设备。 +如图 :numref:`select_kernel`所示,展示了算子选择过程。首先,选择算子执行的硬件设备。不同的硬件设备上,算子的实现、支持数据类型、执行效率通常会有所差别。这一步往往是用户自己指定的,若用户未指定,则编译器后端会为用户匹配一个默认的设备。 然后,后端会根据IR图中推导出的数据类型和内存排布格式选择对应的算子。 ![算子选择过程](../img/ch05/select_kernel.png) :width:`800px` :label:`select_kernel` -理想情况下算子选择所选择出的算子类型,应该与用户预期的类型保持一致。但是由于软硬件的限制,很可能算子的数据类型不能满足用户所期待的数据类型,此时需要对该节点进行升精度或者降精度处理才能匹配到合适的算子。比如在MindSpore -的Ascend后端由于硬件限制导致Conv2D算子只存在float16一种数据类型。如果用户设置的整网使用的数据类型为float32数据,那么只能对Conv2D算子的输入数据进行降精度处理,即将输入数据类型从float32转换成float16。 +理想情况下算子选择所选择出的算子类型,应该与用户预期的类型保持一致。但是由于软硬件的限制,很可能算子的数据类型不能满足用户所期待的数据类型,此时需要对该节点进行升精度或者降精度处理才能匹配到合适的算子。比如在MindSpore 的Ascend后端由于硬件限制导致Conv2D算子只存在float16一种数据类型。如果用户设置的整网使用的数据类型为float32数据,那么只能对Conv2D算子的输入数据进行降精度处理,即将输入数据类型从float32转换成float16。 算子的数据排布格式转换是一个比较耗时的操作,为了避免频繁的格式转换所带来的内存搬运开销,数据应该尽可能地以同样的格式在算子之间传递,算子和算子的衔接要尽可能少的出现数据排布格式不一致的现象。另外,数据类型不同导致的降精度可能会使得误差变大,收敛速度变慢甚至不收敛,所以数据类型的选择也要结合具体算子分析。 diff --git a/chapter_backend_and_runtime/memory_allocator.md b/chapter_backend_and_runtime/memory_allocator.md index d07e8c0..4e80054 100644 --- a/chapter_backend_and_runtime/memory_allocator.md +++ b/chapter_backend_and_runtime/memory_allocator.md @@ -1,12 +1,11 @@ ## 内存分配 :label:`ch05-sec-memory_pool` -内存在传统计算机存储器层次结构中有着重要的地位,它是连接高速缓存和磁盘之间的桥梁,有着比高速缓存更大的空间,比磁盘更快的访问速度。随着深度学习的发展,深度神经网络的模型越来越复杂,AI芯片上的内存很可能无法容纳一个大型网络模型。因此,对内存进行复用是一个重要的优化手段。此外,通过连续内存分配和 -In-Place内存分配还可以提高某些算子的执行效率。 +内存在传统计算机存储器层次结构中有着重要的地位,它是连接高速缓存和磁盘之间的桥梁,有着比高速缓存更大的空间,比磁盘更快的访问速度。随着深度学习的发展,深度神经网络的模型越来越复杂,AI芯片\footnote{与前文中的硬件加速器指意相同,业内习惯称为AI芯片}上的内存很可能无法容纳一个大型网络模型。因此,对内存进行复用是一个重要的优化手段。此外,通过连续内存分配和 In-Place内存分配还可以提高某些算子的执行效率。 ### Device内存概念 -在深度学习体系结构中,我们通常将与硬件加速器(如GPU、AI芯片等)相邻的内存称之为设备(Device)内存,而与CPU相邻的内存称之为主机(Host)内存。如 :numref:`host-device-memory`所示,CPU可以合法地访问主机上的内存,而无法直接访问设备上的内存;同理,AI芯片可以访问设备上的内存,却无法访问主机上的内存。因此,在网络训练过程中,我们往往需要从磁盘加载数据到主机内存中,然后在主机内存中做数据处理,再从主机内存拷贝到设备内存中,最后设备才能合法地访问数据。算子全部计算完成后,用户要获取训练结果,又需要把数据从设备内存拷贝到主机内存中。 +在深度学习体系结构中,通常将与硬件加速器(如GPU、AI芯片等)相邻的内存称之为设备(Device)内存,而与CPU相邻的内存称之为主机(Host)内存。如:numref:`host-device-memory`所示,CPU可以合法地访问主机上的内存,而无法直接访问设备上的内存;同理,AI芯片可以访问设备上的内存,却无法访问主机上的内存。因此,在网络训练过程中,往往需要从磁盘加载数据到主机内存中,然后在主机内存中做数据处理,再从主机内存拷贝到设备内存中,最后设备才能合法地访问数据。算子全部计算完成后,用户要获取训练结果,又需要把数据从设备内存拷贝到主机内存中。 ![主机内存和设备内存](../img/ch05/host-device-memory.png) :width:`800px` @@ -14,20 +13,17 @@ In-Place内存分配还可以提高某些算子的执行效率。 ### 内存分配 {#内存分配-1} -内存分配模块主要负责给图中算子的输入、输出分配Device内存。用户的前端脚本经过编译器前端处理后得到中间表达,后端根据中间表达进行算子选择和相关优化,可以得到算子最终的输入输出Tensor的形状、数据类型(Data -Type)、格式(Format)等信息,根据这些信息我们可以计算出算子输入、输出Tensor的尺寸大小。基本的计算方法为: -$$size=\left (\prod_{i=0}^{dimension}shape_i\right ) * sizeof\left ( data type \right )$$ -得到Tensor的尺寸大小后,往往还需要对内存大小进行对齐操作。内存通常以4字节、8字节或16字节为一组进行访问,如果被搬运的内存大小不是这些值的倍数,内存后面会填充相应数量的空数据以使得内存长度达到这些值的倍数。因此,访问非对齐的内存可能会更加耗时。 +内存分配模块主要负责给图中算子的输入、输出分配Device内存。用户的前端脚本经过编译器前端处理后得到中间表达,后端根据中间表达进行算子选择和相关优化,可以得到算子最终的输入输出张量的形状、数据类型(Data Type)、格式(Format)等信息,根据这些信息可以计算出算子输入、输出张量的尺寸大小。基本的计算方法如式$$size=\left (\prod_{i=0}^{dimension}shape_i\right ) * sizeof\left ( data type \right )$$所示。得到张量的尺寸大小后,往往还需要对内存大小进行对齐操作。内存通常以4字节、8字节或16字节为一组进行访问,如果被搬运的内存大小不是这些值的倍数,内存后面会填充相应数量的空数据以使得内存长度达到这些值的倍数。因此,访问非对齐的内存可能会更加耗时。 ![内存分配示例](../img/ch05/memory_allocate.png) :width:`800px` :label:`memory_allocate` -下面以 :numref:`memory_allocate`为例介绍内存分配的大致流程。首先我们会给Input -Tensor、Conv2D的权重和Conv2D的输出分配内存地址。然后为BatchNorm的输入分配地址时,我们发现BatchNorm的输入就是Conv2D算子的输出,而该Tensor的地址已经在之前分配过了,因此只需要将Conv2D算子的输出地址共享给BatchNorm的输入,就可以避免内存的重复申请以及内存的冗余拷贝。以此类推,可以发现整个过程中可以将待分配的内存分成三种类型:一是整张图的输入Tensor,二是算子的权重或者属性,三是算子的输出Tensor,三种类型在训练过程中的生命周期有所不同。 +下面以 :numref:`memory_allocate`为例介绍内存分配的大致流程。首先给输入张量、Conv2D的权重和Conv2D的输出分配内存地址。然后为BatchNorm的输入分配地址时,发现BatchNorm的输入就是Conv2D算子的输出,而该张量的地址已经在之前分配过了,因此只需要将Conv2D算子的输出地址共享给BatchNorm的输入,就可以避免内存的重复申请以及内存的冗余拷贝。以此类推,可以发现整个过程中可以将待分配的内存分成三种类型:一是整张图的输入张量,二是算子的权重或者属性,三是算子的输出张量,三种类型在训练过程中的生命周期有所不同。 + +在CPU上常常使用malloc函数直接申请内存,这种方式申请内存好处是随时申请随时释放,简单易用。然而在许多对性能要求严苛的计算场景中,由于所申请内存块的大小不定,频繁申请释放会降低性能。通常会使用内存池的方式去管理内存,先申请一定数量的内存块留作备用,当程序有内存申请需求时,直接从内存池中的内存块中申请。当程序释放该内存块时,内存池会进行回收并用作后续程序内存申请时使用。 +在深度学习框架中,设备内存的申请也是非常频繁的,往往也是通过内存池的方式去管理设备内存,并让设备内存的生命周期与张量的生命周期保持一致。不同的深度学习框架在内存池的设计上大同小异,以:numref:`device_malloc`的MindSpore框架内存申请为例,进程会从设备上申请足够大的内存,然后通过双游标从两端偏移为张量分配内存。首先从申请的首地址开始进行偏移,为算子权重的张量分配内存,这部分张量生命周期较长,往往持续整个训练过程。然后从申请设备地址的末尾开始偏移,为算子的输出张量分配内存,这部分内存的生命周期较短,往往在该算子计算结束并且后续计算过程中无需再次使用该算子的输出的情况下,其生命周期就可以结束。通过这种方式,只需要从设备上申请一次足够大的内存,后续算子的内存分配都是通过指针偏移进行分配,减少了直接从设备申请内存的耗时。 -在CPU上我们常常使用malloc函数直接申请内存,这种方式申请内存好处是随时申请随时释放,简单易用。然而在许多对性能要求严苛的计算场景中,由于所申请内存块的大小不定,频繁申请释放会降低性能。通常我们会使用内存池的方式去管理内存,先申请一定数量的内存块留作备用,当程序有内存申请需求时,直接从内存池中的内存块中申请。当程序释放该内存块时,内存池会进行回收并用作后续程序内存申请时使用。 -在深度学习框架中,Device内存的申请也是非常频繁的,往往也是通过内存池的方式去管理Device内存,并让Device内存的生命周期与Tensor的生命周期保持一致。不同的深度学习框架在内存池的设计上大同小异,我们以 :numref:`device_malloc`的MindSpore框架内存申请为例,进程会从Device上申请足够大的内存,然后通过双游标从两端偏移为Tensor分配内存。首先从申请的首地址开始进行偏移,为算子权重的Tensor分配内存,这部分Tensor生命周期较长,往往持续整个训练过程。然后从申请Device地址的末尾开始偏移,为算子的输出Tensor分配内存,这部分内存的生命周期较短,往往在该算子计算结束并且后续计算过程中无需再次使用该算子的输出的情况下,其生命周期就可以结束。通过这种方式,我们只需要从Device上申请一次足够大的内存,后续算子的内存分配都是通过指针偏移进行分配,减少了直接从设备申请内存的耗时。 ![双游标法分配内存](../img/ch05/device_malloc.png) :width:`800px` @@ -35,18 +31,17 @@ Tensor、Conv2D的权重和Conv2D的输出分配内存地址。然后为BatchNor ### 内存复用 -在机器学习系统中,内存复用是指分析Tensor的生命周期,将生命周期结束的Tensor的Device内存释放回内存池并用于后续Tensor的内存分配。内存复用的目的是提高内存的利用率,让有限的设备内存容纳更大的模型。 -以 :numref:`memory_allocate`为例,当BatchNorm算子计算结束后,output1不再被任何算子使用,则该Tensor的Device内存可以被回收,并且如果output1的内存尺寸大于等于output3的内存尺寸,则从output1回收的地址可以用于output3的内存分配,从而达到复用output1地址的目的。 +在机器学习系统中,内存复用是指分析张量的生命周期,将生命周期结束的张量的设备内存释放回内存池并用于后续张量的内存分配。内存复用的目的是提高内存的利用率,让有限的设备内存容纳更大的模型。 +以 :numref:`memory_allocate`为例,当BatchNorm算子计算结束后,输出1不再被任何算子使用,则该张量的设备内存可以被回收,并且如果输出1的内存尺寸大于等于输出3的内存尺寸,则从输出1回收的地址可以用于输出3的内存分配,从而达到复用输出1地址的目的。 ![内存生命周期图](../img/ch05/combine_memory_reuse_and_no_reuse.png) :width:`800px` :label:`combine_memory_reuse_and_no_reuse` -为了更好地描述内存复用问题,我们通过内存生命周期图来辅助理解。如 :numref:`combine_memory_reuse_and_no_reuse`所示,图中横坐标表示Tensor的生命周期,图中纵坐标表示内存大小。在生命周期内,某一个Tensor将一直占用某块Device内存,直至生命周期结束才会释放相应内存块。通过Tensor生命周期和内存大小可以构造出矩形块,而内存分配要求解的目标是在内存生命周期图中容纳更多的矩形块,问题的约束是矩形块之间无碰撞。 :numref:`combine_memory_reuse_and_no_reuse`左边是在未使用任何内存复用策略的情况下的内存生命周期图,此时内存同时只能容纳T0、T1、T2、T3四个Tensor。 +为了更好地描述内存复用问题,通过内存生命周期图来辅助理解。如 :numref:`combine_memory_reuse_and_no_reuse`所示,图中横坐标表示张量的生命周期,图中纵坐标表示内存大小。在生命周期内,某一个张量将一直占用某块设备内存,直至生命周期结束才会释放相应内存块。通过张量生命周期和内存大小可以构造出矩形块,而内存分配要求解的目标是在内存生命周期图中容纳更多的矩形块,问题的约束是矩形块之间无碰撞。 :numref:`combine_memory_reuse_and_no_reuse`左边是在未使用任何内存复用策略的情况下的内存生命周期图,此时内存同时只能容纳T0、T1、T2、T3四个张量。 内存复用策略的求解是一个NP完全的问题。许多深度学习框架通常采用贪心的策略去分配内存,例如采用BestFit算法,每次直接从内存池中选取可以满足条件的最小内存块,然而这种贪心的策略往往会陷入局部最优解,而无法求得全局最优解。为了更好地逼近内存分配策略全局最优解,MindSpore框架提出了一种新的内存分配算法 -SOMAS(Safe Optimized Memory Allocation -Solver)。SOMAS将计算图并行流与数据依赖进行聚合分析,得到算子间祖先关系,构建张量全局生命周期互斥约束,使用多种启发式算法求解最优的内存静态规划,实现逼近理论极限的内存复用,从而提升支持的内存大小。 +SOMAS(Safe Optimized Memory Allocation Solver,安全优化的内存分配求解器)。SOMAS将计算图并行流与数据依赖进行聚合分析,得到算子间祖先关系,构建张量全局生命周期互斥约束,使用多种启发式算法求解最优的内存静态规划,实现逼近理论极限的内存复用,从而提升支持的内存大小。 由 :numref:`combine_memory_reuse_and_no_reuse`右边所示,经过SOMAS求解之后,同样的内存大小,可支持的Tensor数量达到了7个。 @@ -54,7 +49,7 @@ Solver)。SOMAS将计算图并行流与数据依赖进行聚合分析,得到 #### 内存融合 -上述内存分配的方式,都是以单个Tensor的维度去分配的,每个Tensor分配到的Device地址往往是离散的。但是对于某些特殊的算子,如AllReduce通信算子,我们需要为它们分配连续的内存。通信算子的执行包含通信等待、数据搬移、计算等步骤,而在大规模分布式集群的场景下,通信的耗时往往是性能瓶颈。针对这种场景,如 :numref:`memory_fusion`所示,我们可以将多个通信算子融合成一个,为通信算子的输入分配连续的内存,从而减少通信的次数。 +上述内存分配的方式,都是以单个张量的维度去分配的,每个张量分配到的设备地址往往是离散的。但是对于某些特殊的算子,如AllReduce通信算子,需要为它们分配连续的内存。通信算子的执行包含通信等待、数据搬移、计算等步骤,而在大规模分布式集群的场景下,通信的耗时往往是性能瓶颈。针对这种场景,如 :numref:`memory_fusion`所示,可以将多个通信算子融合成一个,为通信算子的输入分配连续的内存,从而减少通信的次数。 又比如分布式训练中的神经网络权重初始化,通常将一个训练进程中的权重初始化,然后将该权重广播到其他进程中。当一个网络有较多权重的时候,需要多次进行广播。通常可以为所有权重分配连续的内存地址,然后广播一次,节省大量通信的耗时。 ![通信算子内存融合](../img/ch05/memory_fusion.png) @@ -63,17 +58,11 @@ Solver)。SOMAS将计算图并行流与数据依赖进行聚合分析,得到 #### In-Place算子 -在前面的内存分配流程中,我们会为每个算子的输入和输出都分配不同的内存。然而对很多算子而言,为其分配不同的输入和输出地址,会浪费内存并且影响计算性能。例如优化器算子,其计算的目的就是更新神经网络的权重;例如Python语法中的'+='和'\*='操作符,将计算结果更新到符号左边的变量中;例如'a\[0\]=b'语法,将'a\[0\]'的值更新为'b'。诸如此类计算有一个特点,都是为了更新输入的值。下面以Tensor的'a\[0\]=b'操作为例介绍In-Place的优点。 - :numref:`inplace-op`左边是非In-Place操作的实现,step1将Tensor -a拷贝到Tensor a',step2将Tensor b赋值给Tensor a',step3将Tensor -a'拷贝到Tensor -a。 :numref:`inplace-op`右边是算子In-Place操作的实现,仅用一个步骤将Tensor -b拷贝到Tensor -a对于的位置上。对比两种实现,可以发现In-Place操作节省了两次拷贝的耗时,并且省去了Tensor -a'内存的申请。 +在内存分配流程中,会为每个算子的输入和输出都分配不同的内存。然而对很多算子而言,为其分配不同的输入和输出地址,会浪费内存并且影响计算性能。例如优化器算子,其计算的目的就是更新神经网络的权重;例如Python语法中的 += 和 *= 操作符,将计算结果更新到符号左边的变量中;例如 a[0]=b 语法,将 a[0] 的值更新为 b。诸如此类计算有一个特点,都是为了更新输入的值。下面以张量的 a[0]=b 操作为例介绍In-Place的优点。 + :numref:`inplace-op`左边是非In-Place操作的实现,step1将张量a拷贝到张量a',step2将张量b赋值给张量a',step3将张量a'拷贝到张量a。 :numref:`inplace-op`右边是算子In-Place操作的实现,仅用一个步骤将张量b拷贝到张量a对应的位置上。对比两种实现,可以发现In-Place操作节省了两次拷贝的耗时,并且省去了张量a'内存的申请。 ![In-Place算子内存分配](../img/ch05/inplace-op.png) :width:`800px` :label:`inplace-op` -这节我们简单介绍了Device内存的概念,内存分配的流程,和一些优化内存分配的方法。内存分配是编译器后端的最重要部分之一,内存的合理分配,不仅关系到相同芯片上能否支持更大的网络模型,也关系到模型在硬件上的执行效率。 +这节简单介绍了设备内存的概念,内存分配的流程,和一些优化内存分配的方法。内存分配是编译器后端的最重要部分之一,内存的合理分配,不仅关系到相同内存容量下能否支持更大的网络模型,也关系到模型在硬件上的执行效率。 diff --git a/chapter_backend_and_runtime/op_compiler.md b/chapter_backend_and_runtime/op_compiler.md new file mode 100644 index 0000000..3c2243f --- /dev/null +++ b/chapter_backend_and_runtime/op_compiler.md @@ -0,0 +1,193 @@ +## 算子编译器 + +算子编译器,顾名思义,即对算子进行编译优化的工具。这里所谓的"算子"可以来自于整个神经网络中的一部分,也可以来自于通过领域特定语言(Domain +Specific Language, +DSL)实现的代码。而所谓编译,通俗来说起到的是针对目标语言进行**表达**和**转换**。 + +从目的上来说,算子编译器致力于提高算子的**执行性能**。从工程实现上来说,算子编译器的输入一般为Python等**动态语言**描述的张量计算,而输出一般为**特定AI芯片**上的可执行文件。 + +### 算子调度策略 + +算子编译器为了实现较好地优化加速,会根据现代计算机体系结构特点,将程序运行中的每个细小操作抽象为"调度策略"。 + +如果不考虑优化和实际中芯片的体系结构特点,只需要按照算子表达式的**计算逻辑**,把输入进来的张量全部加载进计算核心里完成计算,之后再把计算结果从计算核心里面取出并保存下来即可。这里的**计算逻辑**指的就是基本数学运算(如加、减、乘、除)以及其他函数表达式(如卷积、转置、损失函数)等。 + +但是 :numref:`fig:ch05/ch05-memory_architecture`向我们展示的现代计算机存储结构表明:越靠近金字塔顶尖的存储器造价越高但是访问速度越快。 + +![代计算机存储层次图](../img/ch05/memory_architecture.png) +:width:`800px` +:label:`fig:ch05/ch05-memory_architecture` + + +基于这一硬件设计的事实,有局部性(Locality)概念: + +(1)时间局部性,相对较短时间内重复访问特定内存位置。如多次访问L1高速缓存的同一位置的效率会高于多次访问L1中不同位置的效率。 + +(2)空间局部性,在相对较近的存储位置进行访问。如,多次访问L1中相邻位置的效率会高于来回在L1和主存跳跃访问的效率。 + +满足这两者任一都会有较好的性能提升。基于局部性概念,希望尽量把需要重复处理的数据放在固定的内存位置,且这一内存位置离处理器越近越好,以通过提升访存速度而进行性能提升。 + +另外,把传统的串行计算任务按逻辑和数据依赖关系进行分割后,有机会得到多组互不相关的数据,并把他们同时计算,如 :numref:`fig:ch05/ch05-parallel_computing`所示。 + +![串行计算和并行计算区别图](../img/ch05/parallel_computing.png) +:width:`800px` +:label:`fig:ch05/ch05-parallel_computing` + +以上种种在程序实际运行的时候针对数据做出的特殊操作,统称为**调度(Schedule)**。调度定义了: + +(1)应该在何时何处计算函数中的每个值? + +(2)数据应该储存在哪里? + +(3)每个值在多个消费者(Consumer)之间访存需要花费多长时间?另外在何时由每个消费者独立重新计算?这里的消费者指使用前序结构进行计算的值。 + +通俗理解,调度策略指的是:在编译阶段根据目标硬件体系结构的特点而设计出的一整套通过提升局部性和并行性而使得编译出的可执行文件在运行时性能最优的算法。这些算法并不会影响计算结果,只是干预计算过程,以达到提升运算速度的效果。 + +### 子策略组合优化 + +算子编译器的一种优化思路是:将抽象出来的调度策略进行组合,拼接排布出一个复杂而高效的调度集合。子策略组合优化,本质上还是基于人工手动模板匹配的优化方式,依赖于开发人员对于硬件架构有较深的理解。这种方式较为直接,但组合出的优化策略无法调优,同时对各类算子精细化的优化也带来较多的人力耗费。本文以TVM为例,通过在CPU上加速优化一段实际代码,简要介绍其中几种基本调度策略组成的优化算法。 + +我们以形式为乘累加计算的代码[\[lst:before_tvm\]](#lst:before_tvm){reference-type="ref" +reference="lst:before_tvm"}为例简要分析描述这一算法。该代码的核心计算逻辑为:首先对张量C进行初始化,之后将张量A与张量B相乘后,结果累加到张量C中。 + +``` {#lst:before_tvm caption="乘累加计算代码" label="lst:before_tvm"} +for (m: int32, 0, 1024) { + for (n: int32, 0, 1024) { + C[((m*1024) + n)] = 0f32 + for (k: int32, 0, 1024) { + let cse_var_2: int32 = (m*1024) + let cse_var_1: int32 = (cse_var_2 + n) + C[cse_var_1] = (C[cse_var_1] + (A[(cse_var_2 + k)]*B[((k*1024) + n)])) + } + } +} +``` + +假定数据类型为浮点型(Float),此时张量A、B、C的大小均为1024 $\times$ +1024,三者占用的空间共为1024 $\times$ 1024 $\times$ 3 $\times$ +sizeof(float) = 12MB。这远远超出了常见缓存的大小(如L1 +Cache为32KB)。因此按照此代码形式,要将整块张量A、B、C一起计算,只能放入离计算核更远的内存进行计算。其访存效率远低于缓存。 + +为了提升性能,提出使用平铺(Tile),循环移序(Reorder)和切分(Split)的调度策略。由于L1缓存大小为32KB,为了保证每次计算都能够放入缓存中,我们选取因子(Factor)为32进行平铺,使得平铺后的每次计算时只需要关注m.inner +$\times$ +n.inner构成的小块(Block)即可,而其他的外层循环不会影响最内层小块的访存。其占用内存大小为32 +$\times$ 32 $\times$ 3 $\times$ sizeof(float) = +12KB,足够放入缓存中。代码[\[lst:after_tvm\]](#lst:after_tvm){reference-type="ref" +reference="lst:after_tvm"}展示了经过该策略优化优化后的变化。 + +``` {#lst:after_tvm caption="子策略组合优化后的代码" label="lst:after_tvm"} +// 由for (m: int32, 0, 1024)以32为因子平铺得到外层循环 +for (m.outer: int32, 0, 32) { + // 由for (n: int32, 0, 1024)以32为因子平铺得到外层循环 + for (n.outer: int32, 0, 32) { + // 由for (m: int32, 0, 1024)以32为因子平铺得到内层循环 + for (m.inner.init: int32, 0, 32) { + // 由for (n: int32, 0, 1024)以32为因子平铺得到内层循环 + for (n.inner.init: int32, 0, 32) { + // 对应地得到相应系数 + C[((((m.outer*32768) + (m.inner.init*1024)) + (n.outer*32)) + n.inner.init)] = 0f32 + } + } + // 由for (k: int32, 0, 1024)以4为因子切分得到外层循环,并进行了循环移序 + for (k.outer: int32, 0, 256) { + // 由for (k: int32, 0, 1024)以4为因子切分得到外层循环,并进行了循环移序 + for (k.inner: int32, 0, 4) { + // 由for (m: int32, 0, 1024)以32为因子平铺得到内层循环 + for (m.inner: int32, 0, 32) { + // 由for (n: int32, 0, 1024)以32为因子平铺得到内层循环 + for (n.inner: int32, 0, 32) { + // 由n轴平铺得到的外轴系数 + let cse_var_3: int32 = (n.outer*32) + // 由m轴平铺得到的外轴和内轴系数 + let cse_var_2: int32 = ((m.outer*32768) + (m.inner*1024)) + // 由m轴和n轴得到的外轴和内轴系数 + let cse_var_1: int32 = ((cse_var_2 + cse_var_3) + n.inner) + // 这里是核心计算逻辑,划分成不同层次使得每次循环计算的数据能够放入cache中 + C[cse_var_1] = (C[cse_var_1] + (A[((cse_var_2 + (k.outer*4)) + n.inner)] * B[((((k.outer*4096) + (k.inner*1024)) + cse_var_3) + n.inner)])) + } + } + } + } + } +} +``` + +本示例参照TVM提供的"在CPU上优化矩阵乘运算的实例教程"[^1]中的第一项优化,读者可深入阅读后续优化内容。 + +### 调度空间算法优化 + +算子编译器的另外一种优化思路是:通过对调度空间搜索/求解,自动生成对应算子调度。此类方案包括多面体模型编译(Polyhedral +Compilation)(基于约束对调度空间求解)和Ansor(调度空间搜索)等。这类方法的好处是提升了算子编译的泛化能力,缺点是搜索空间过程会导致编译时间过长。 +以多面体模型编译技术将代码的多层循环抽象为多维空间,将每个计算实例抽象为空间中的点,实例间的依赖关系抽象为空间中的线,主要对循环进行优化。该算法的主要思想是针对输入代码的访存特点进行建模,调整循环语句中的每一个实例的执行顺序,使得新调度下的循环代码有更好的局部性和并行性。 + +我们以代码[\[lst:before_poly\]](#lst:before_poly){reference-type="ref" +reference="lst:before_poly"}为例介绍该算法。 + +``` {#lst:before_poly caption="待优化代码" label="lst:before_poly"} +for (int i = 0; i < N; i++) + for (int j = 1; j < N; j++) + a[i+1][j] = a[i][j+1] - a[i][j] + a[i][j-1]; +``` + +如 :numref:`fig:ch05/ch05-poly_test`所示,通过多面体模型算法先对此代码的访存结构进行建模,然后分析实例(即 :numref:`fig:ch05/ch05-poly_test`中节点)间的依赖关系(即 :numref:`fig:ch05/ch05-poly_test`中箭头)。 + +![示例代码的多面体模型](../img/ch05/poly_test.png) +:width:`800px` +:label:`fig:ch05/ch05-poly_test` + + +再进行复杂的依赖分析和调度变换之后得到一个符合内存模型的最优解。代码[\[lst:after_poly\]](#lst:after_poly){reference-type="ref" +reference="lst:after_poly"}显示了经过多面体模型优化后得到的结果。 + +``` {#lst:after_poly caption="多面体模型算法优化后的代码" label="lst:after_poly"} +for (int i_new = 0; i_new < N; i_new++) + for (int j_new = i+1; j_new < i+N; j_new++) + a[i_new+1][j_new-i_new] = a[i_new][j_new-i_new+1] - a[i_new][j_new-i_new] + a[i_new][j_new-i_new-1]; +``` + +观察得到的代码,发现优化后的代码较为复杂。但是仅凭肉眼很难发现其性能优势之处。仍需对此优化后的代码进行如算法描述那样建模,并分析依赖关系后得出结论,如 :numref:`fig:ch05/ch05-poly`所示:经过算法优化后解除了原代码中的循环间的依赖关系,从而提高了并行计算的机会。即沿着 :numref:`fig:ch05/ch05-poly`中虚线方向分割并以绿色块划分后,可以实现并行计算。 +该算法较为复杂,限于篇幅,在这里不再详细展开。读者可移步到笔者专门为此例写的文章-《深度学习编译之多面体模型编译------以优化简单的两层循环代码为例》详读。 + + +![多面体模型优化结果](../img/ch05/poly.png) +:width:`800px` +:label:`fig:ch05/ch05-poly` + + +### 芯片指令集适配 + +前文讲述了算子编译器的优化方法,本小节将阐述算子编译器适配不同芯片上指令集的情况。一般意义上来说,通用编译器的设计会尽量适配多种后端。如此一来,在面临不同体系结构特点和不同编程模型的多种后端时,算子编译器承受了相当大的压力。 + +当下的AI芯片中,常见的编程模型分为:单指令多数据(Single Instruction, +Multiple Data, +SIMD),即单条指令一次性处理大量数据,如 :numref:`fig:ch05/ch05-SIMD`所示;单指令多线程(Single Instruction, +Multiple Threads, +SIMT),即单条指令一次性处理多个线程的数据,如 :numref:`fig:ch05/ch05-SIMT`所示。前者对应的是带有向量计算指令的芯片;后者对应的是带有明显的线程分级的芯片。另外,也有一些芯片开始结合这两种编程模型的特点,既有类似线程并行计算的概念,又有向量指令的支持。针对不同的编程模型,算子编译器在进行优化(如向量化等)时的策略也会有所不同。 + + +![单指令多数据流示意图](../img/ch05/SIMD.png) +:width:`800px` +:label:`fig:ch05/ch05-SIMD` + +![单指令多线程示意图](../img/ch05/SIMT.png) +:width:`800px` +:label:`fig:ch05/ch05-SIMT` + +一般来说,算子编译器在具体的代码中会按照:前端、中端、后端,逐渐差异化的思路进行实现。即在前端设计中兼容多种不同芯片后端的指令集,以帮助编译器用户(即AI程序员)不需要在乎芯片差异,而只需要专注在AI算法逻辑上即可;在中间表示(IR)设计中对不同芯片的体系结构进行区分,从而可以实现对不同芯片进行不同的优化方法;在后端的目标代码生成部分对各个芯片的不同指令集详细区分,以保证生成出的目标代码能够顺利运行在目标芯片上。 + +### 算子表达能力 + +算子表达能力指的是:算子编译器的前端识别输入代码,并在不损失语义信息的情况下转换为中间表示的能力。算子编译器承接的前端输入往往是PyTorch等的Python形式的代码,而Python中各种灵活的表达方式(包括而不限于索引、View语义等)对算子编译器的前端表达能力提出了较高要求。另外在检测网络中,输入算子往往还有大量的控制流语句。此外,还经常可以看到神经网络中存在许多的动态形状问题,即网络中的算子形状会受网络迭代次数和控制流等条件的影响。这些都对算子编译器前端的表达能力提出了很高的要求。 + +在实际工程实践中,发现大量的长尾分布般不常见但性能很差的算子(后文简称为长尾算子)往往是整体网络训练或推理的瓶颈点。而这些长尾算子大都是由于其出现频次低而不至于实现在计算库中。同时其语法过于灵活或存在大量的控制流语句以及动态形状问题而难以被目前的算子编译器前端充分表达出来,因此也难以通过算子编译器进行优化加速。于是,这些长尾算子只好以运行速度较慢的Python解释器或者虚拟机的方式执行,从而成为整个网络中的性能瓶颈。此时,提高算子编译器前端的表达能力就成为了重中之重。 + +### 相关编译优化技术 + +算子编译器与传统编译器在优化技术方面根出同源,但由于面对的问题不同,所以在优化思路上也有差别。两者都以前中后端的思路进行设计,都是以增强局部性和并行性为优化的理论依据。 +但是前者面向的问题是AI领域中的计算问题,往往在优化过程中会大量参考和借鉴高性能计算(High-Performance +Computing, +HPC)的优化思路,这种情况称为借助专家经验进行优化。另外算子编译器面对的后端AI芯片的体系结构的不同,如重点的单指令多数据和单指令多线程为代表的两种后端体系结构,决定了优化过程中更多偏向于生成对单指令多数据友好的加速指令,或者生成对单指令多线程友好的多线程并行计算模型。 +而后者面向的问题是更加通用的标量计算行为和计算机控制命令,往往在优化中围绕寄存器的使用和分支预测准确性等进行优化。 +总之,由于需要解决的问题不同,算子编译器和传统编译器在优化算法的具体实现上有着一定的区别,但是在算法设计时也有互相借鉴的机会。 + +[^1]: 在CPU上优化矩阵乘运算的实例教程: \ No newline at end of file diff --git a/chapter_backend_and_runtime/overview.md b/chapter_backend_and_runtime/overview.md index 77a0dc8..0ab166a 100644 --- a/chapter_backend_and_runtime/overview.md +++ b/chapter_backend_and_runtime/overview.md @@ -1,8 +1,8 @@ ## 概述 -编译器前端主要将用户代码进行解析翻译得到计算图IR并对其进行设备信息无关的优化,此时我们并不考虑程序执行的底层硬件信息。编译器后端的主要职责对前端下发的IR做进一步的计算图优化,让其更加贴合硬件,并为IR中的计算节点选择适合在硬件上执行的算子,然后为每个算子的输入输出分配硬件内存,最终生成一个可以在硬件上执行的任务序列。 +编译器前端主要将用户代码进行解析翻译得到计算图IR,并对其进行设备信息无关的优化,此时的优化并不考虑程序执行的底层硬件信息。编译器后端的主要职责是对前端下发的IR做进一步的计算图优化,让其更加贴合硬件,并为IR中的计算节点选择在硬件上执行的算子,然后为每个算子的输入输出分配硬件内存,最终生成一个可以在硬件上执行的任务序列。 -如 :numref:`compiler-backend-architecture`所示,编译器后端处于前端和硬件驱动层中间,主要负责计算图优化、算子选择和内存分配的任务。首先,需要根据硬件设备的特性将IR图进行等价图变换,以便在硬件上能够找到对应的执行算子,该过程是计算图优化的重要步骤之一。前端IR生成是解析用户代码,属于一个较高的抽象层次,隐藏一些底层运行的细节信息,此时无法直接对应硬件上的算子(算子是设备上的基本计算序列,例如MatMul、Convolution和ReLU等),需要将细节信息进行展开后,才能映射到目标硬件上的算子。对于某些前端IR的子集来说,一个算子便能够执行对应的功能,此时可以将这些IR节点合并成为一个计算节点,该过程称之为算子融合;对于一些复杂计算,后端并没有直接与之对应的算子,但是可以通过几个基本运算的算子组合达到同样的计算效果,此时可以将前端IR节点拆分成多个小算子。然后,我们需要进行算子选择。算子选择是在得到优化的IR图后,需要选取最合适的目标设备算子。针对用户代码所产生的IR往往可以映射成多种不同的硬件算子,但是生成不同的算子执行效率往往有很大的差别,如何根据前端IR选择出最高效的算子,是算子选择的核心问题。算子选择本质上是一个模式匹配问题。其最简单的方法就是每一个IR节点对应一个目标硬件的算子,但是这种方法往往对目标硬件的资源利用比较差。目前来说对于现有的编译器一般都对每一个IR节点提供了多个候选的算子,算子选择目标就是从中选择最优的一个算子作为最终执行在设备上的算子。总的来说,在机器学习系统中,对前端生成的IR图上的各个节点进行拆分和融合,让前端所表示的高层次IR逐步转换为可以在硬件设备上执行的低层次IR。得到了这种更加贴合硬件的IR后,对于每个单节点的IR可能仍然有很多种不同的选择,例如可以选择不同的输入输出格式和数据类型,我们需要对IR图上每个节点选择出最为合适的算子,算子选择过程可以认为是针对IR图的细粒度优化过程,最终生成完整的算子序列。最后,遍历算子序列,为每个算子分配相应的输入输出内存,然后将算子加载到设备上执行计算。 +如 :numref:`compiler-backend-architecture`所示,编译器后端处于前端和硬件驱动层中间,主要负责计算图优化、算子选择和内存分配的任务。首先,需要根据硬件设备的特性将IR图进行等价图变换,以便在硬件上能够找到对应的执行算子,该过程是计算图优化的重要步骤之一。前端IR是通过解析用户代码生成的,属于一个较高的抽象层次,隐藏一些底层运行的细节信息,此时无法直接对应硬件上的算子(算子是设备上的基本计算序列,例如MatMul、Convolution、ReLU等),需要将细节信息进行展开后,才能映射到目标硬件上的算子。对于某些前端IR的子集来说,一个算子便能够执行对应的功能,此时可以将这些IR节点合并成为一个计算节点,该过程称之为算子融合;对于一些复杂计算,后端并没有直接与之对应的算子,但是可以通过几个基本运算的算子组合达到同样的计算效果,此时可以将前端IR节点拆分成多个小算子。在完成计算图优化之后,就要进行算子选择过程,为每个计算节点选择执行算子。算子选择是在得到优化的IR图后选取最合适的目标设备算子的过程。针对用户代码所产生的IR往往可以映射成多种不同的硬件算子,但是这些不同硬件算子的执行效率往往有很大差别,如何根据前端IR选择出最高效的算子,是算子选择的核心问题。算子选择本质上是一个模式匹配问题。其最简单的方法就是每一个IR节点对应一个目标硬件的算子,但是这种方法往往对目标硬件的资源利用比较差。现有的编译器一般都对每一个IR节点提供了多个候选的算子,算子选择目标就是从中选择最优的一个算子作为最终执行在设备上的算子。总的来说,在机器学习系统中,对前端生成的IR图上的各个节点进行拆分和融合,让前端所表示的高层次IR逐步转换为可以在硬件设备上执行的低层次IR。得到了这种更加贴合硬件的IR后,对于每个单节点的IR可能仍然有很多种不同的选择,例如可以选择不同的输入输出格式和数据类型,需要对IR图上每个节点选择出最为合适的算子,算子选择过程可以认为是针对IR图的细粒度优化过程,最终生成完整的算子序列。最后,遍历算子序列,为每个算子分配相应的输入输出内存,然后将算子加载到设备上执行计算。 ![编译器后端总体架构简图](../img/ch05/compiler-backend-architecture.png) :width:`800px` @@ -23,3 +23,7 @@ ### 计算调度与执行 经过算子选择与内存分配之后,计算任务可以通过运行时完成计算的调度与在硬件上的执行。根据是否将算子编译为计算图,计算的调度可以分为单算子调度与计算图调度两种方式。而根据硬件提供的能力差异,计算图的执行方式又可以分为逐算子下发执行的交互式执行以及将整个计算图或者部分子图一次性下发到硬件的下沉式执行两种模式。 + +### 算子编译器 + +作为AI编译器中一个重要组成部分,算子编译器把单个简单或复杂的算子经过表达和优化后编译为一个单独的可执行文件。目前业界面对算子编译器仍有许多有趣的问题尚未得出明确结论,相关的处理逻辑与方法也尚未收敛。本小节希望将这些问题简单抛出,并给出业界比较典型的几种处理方式。若能对业界朋友们和同学们有所启发甚至若能对这些问题起到促进收敛的作用,那真是再好不过!目前尚待收敛的问题包括而不限于:如何通过算子编译器进行性能优化?算子编译器如何兼容不同体系结构特点的芯片?面对输入Python代码的灵活性以及神经网络训练时动态性的情况,该如何充分将这些完美表达出来? diff --git a/chapter_backend_and_runtime/summary.md b/chapter_backend_and_runtime/summary.md index 054a7e3..b91662e 100644 --- a/chapter_backend_and_runtime/summary.md +++ b/chapter_backend_and_runtime/summary.md @@ -18,7 +18,10 @@ - 运行时对于算子的执行可以分为单算子调度和计算图调度两种模式,而在计算图调度模式中,根据具体硬件的能力又可以分为交互式执行和下沉式执行两种方式,交互式执行具备更多的灵活性,下沉执行可以获得更好的计算性能。 +- 算子编译器是优化硬件性能的关键组件。其中,调度策略的优化和基于多面体模型算法的优化是两个关键技术。 + ## 扩展阅读 - 内存分配作为机器学习后端的重要部分,建议阅读 [Sublinear Memory Cost](https://arxiv.org/abs/1604.06174)、 [Dynamic Tensor Rematerialization](https://arxiv.org/abs/2006.09616)。 -- 对于运行时的调度以及执行,建议阅读 [A Lightweight Parallel and Heterogeneous Task Graph Computing System](https://arxiv.org/abs/2004.10908)、 [Dynamic Control Flow in Large-Scale Machine Learning](https://arxiv.org/abs/1805.01772)、[DEEP LEARNING WITH DYNAMIC COMPUTATION GRAPHS](https://arxiv.org/abs/1702.02181)。 \ No newline at end of file +- 对于运行时的调度以及执行,建议阅读 [A Lightweight Parallel and Heterogeneous Task Graph Computing System](https://arxiv.org/abs/2004.10908)、 [Dynamic Control Flow in Large-Scale Machine Learning](https://arxiv.org/abs/1805.01772)、[DEEP LEARNING WITH DYNAMIC COMPUTATION GRAPHS](https://arxiv.org/abs/1702.02181)。 +- 算子编译器是本书的扩展部分,建议阅读提出计算与调度分离的论文: [Halide: A Language and Compiler for Optimizing Parallelism, Locality, and Recomputation in Image Processing Pipelines](https://dl.acm.org/doi/abs/10.1145/2499370.2462176),以及介绍调度空间优化的论文 [Ansor: Generating High-Performance Tensor Programs for Deep Learning](https://arxiv.org/abs/2006.06762)和 [olly - Polyhedral optimization in LLVM](https://arxiv.org/abs/2105.04555) diff --git a/img/ch05/SIMD.png b/img/ch05/SIMD.png new file mode 100644 index 0000000000000000000000000000000000000000..1d69f54b6fc23f04a23dc9eddc23b0b6cb0a6852 GIT binary patch literal 30957 zcmeFZWmH>T`1Tnnlu}w+yhw|?6(~^L-QA_d3KW8SutHmk6Wjt655Zk46bn*Nn-$n+&T-gG6>SQl}QW_c{isc(r-^(peh=IYEJncqepMo;mSo_Zb=Tr{c1Y=}ftI_tEG zJvop%SXuVQ2~&6axI}U9(ZouYy}bDdOzpe>>5orx!%Tca3+Ae22Aj`h5)Czuo>Fv) z&osr~cDe|Cn^B;1qV)f~5o2JHz#5Pk5JiEKJR)WB! z@0R_M%DTi8c7_fu9UlU^7dT);nZ_dmw)}T=A61x(un&RIL)FY103iPP?+2$JSZ)sh zFaXpP7S5%a(dn<=i$56yjt_rp; zL02*q97Y)8;}!dp6lY-mF1=rMAM$KrX%j-<9Swu+{lG+Edw*nw-uU?Vzu^D?u&3za z{r9Hq0T<4{Hwh$$xc`oH%;o=m@LE}y@ZawqaRsFRj(?uXvHm-L6Nps*cMP|~!wx3w ztN;Il9n{&A`Y~9h3HOhwblA{3~GYqvM^8Y06_CL&AjF5%bva?Z;VD+Ji4<5Xm!fP)OLr1}K!* zjj<3`fz&o{FKAyy`SK1RM;?psO*;GYKn!Hdf_>Yy%D6*b0d6%;>t30KuWhc0$4^yM zY3D^AmU(Txk}VSuw|ewF4CR&=wB@5vrf_xVn{gXvMW|0*Vp#3{Q!Fnb2M40^o{Rj< 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