summaryrefslogtreecommitdiff
path: root/2024/01/23/G-Machine/index.html
blob: 70d24db38eabc6daa328f7fda635fa3b1be54a30 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
<!DOCTYPE html>
<html lang="en">
  <head>
    <meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0, maximum-scale=1.0, minimum-scale=1.0">
<meta http-equiv="X-UA-Compatible" content="ie=edge">

    <meta name="author" content="韩暮秋">
    
        
            <meta name="subtitle" content="暮秋小屋">
            
                
                    <meta name="description" content="这里是暮秋小屋,思念和灵感的寄存处">
                    
                        
                            <meta name="keywords" content="韩暮秋,MuqiuHan,'Muqiu Han', 'muqiu han', muqiuhan">
                            

                                

                                    <title>
                                        
                                            G-Machine | 
                                                    暮秋小屋
                                    </title>

                                    
                                        
                                            <link rel="icon" href="/favicon.ico">
                                            

                                                <style>
                                                    @font-face {
                                                        font-family: CarroisSong;
                                                        src: url('/fonts/CarroisSong.ttf');
                                                    }
                                                </style>

                                                
                                                    
                                                        <!-- stylesheets list from _config.yml -->
                                                        
                                                            <link rel="stylesheet" href="/css/style.css">
                                                            
                                                                

                                                                    
                                                                        
                                                                            <!-- scripts list from _config.yml -->
                                                                            
                                                                                <script
                                                                                    src="/js/menu.js"></script>
                                                                                
                                                                                    

                                                                                        
                                                                                            
                                                                                                <script
                                                                                                    src="https://polyfill.alicdn.com/polyfill.js?features=es6"></script>
                                                                                                <script
                                                                                                    id="MathJax-script"
                                                                                                    async
                                                                                                    src="https://lf6-cdn-tos.bytecdntp.com/cdn/expire-1-M/mathjax/3.2.0/es5/tex-mml-chtml.js"></script>
                                                                                                

                                                                                                    
                                                                                                        
  <meta name="generator" content="Hexo 6.3.0"></head>
  <body>
    <div class="mask-border">
    </div>

    <div class="wrapper">

      <div class="header">
  <div class="flex-container">
    <div class="header-inner">
      <div class="site-brand-container">
        <a href="/">
          
              暮秋小屋
                
        </a>
      </div>
      <div id="menu-btn" class="menu-btn" onclick="toggleMenu()">
        Menu
      </div>
      <nav class="site-nav">
        <ul class="menu-list">
          
            
                <li class="menu-item">
                  <a href="/">
                    主页
                  </a>
                </li>
                
                  
            
                <li class="menu-item">
                  <a href="/categories/gallery/">
                    日记本
                  </a>
                </li>
                
                  
            
                <li class="menu-item">
                  <a href="/tags/Medicine/">
                    医学
                  </a>
                </li>
                
                  
            
                <li class="menu-item">
                  <a href="/tags/Technique/">
                    计算机/互联网
                  </a>
                </li>
                
                  
            
                <li class="menu-item">
                  <a href="/tags/Life/">
                    生活
                  </a>
                </li>
                
                  
            
                <li class="menu-item">
                  <a href="/archives">
                    全部
                  </a>
                </li>
                
                  
            
                <li class="menu-item">
                  <a href="/about">
                    关于
                  </a>
                </li>
                
                  
                    
                      <li class="menu-item search-btn">
                        <a href="#">Search</a>
                      </li>
                      
        </ul>
      </nav>
    </div>
  </div>
</div>

      <div class="main">
        <div class="flex-container">
          <article id="post">

  
    <div class="post-head">
    <div class="post-info">
        <div class="tag-list">
            
                
                    <span class="post-tag">
                        <a href="/tags/Technique/">
                            Technique
                        </a>
                    </span>    
                           
            
        </div>
        <div class="post-title">
            
            
                G-Machine
            
            
        </div>
        <span class="post-date">
            Jan 23, 2024
        </span>
    </div>
    <div class="post-img">
        
            <div class="h-line-primary"></div>
              
    </div>
</div>
    <div class="post-content">
    <ul>
<li><a target="_blank" rel="noopener" href="https://link.springer.com/chapter/10.1007/3-540-15975-4_50">The G-machine: A fast, graph-reduction evaluator</a></li>
</ul>
<p>G-Machine 是一种通过图规约来对函数式语言程序求值的抽象架构。<br>与组合子规约不同,组合子规约的control是从表达式图本身动态导出的,而G-Machine是由通过编译Application表达式导出的指令序列指定的。</p>
<hr>
<p>FP的程序基本上都可以用一个表达式的图表示,图计算机就是对这个图求值的机器,总的说来对图的求值是一个不停合并图上的节点生产新节点的过程。</p>
<p>例如:</p>
<figure class="highlight ocaml"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br></pre></td><td class="code"><pre><span class="line"><span class="keyword">let</span> x = <span class="number">2</span> + <span class="number">3</span> <span class="keyword">in</span> </span><br><span class="line">  x * x</span><br></pre></td></tr></table></figure>

<p>先计算出5,然后创建一个新的节点 <code>5 * 5</code>,然后再对这个节点求值,于是求值过程中就产生了很多临时的节点,这些中间节点也被叫做是 spine,求值过程是沿着 spine 进行的。</p>
<p>但是这样就产生了很多额外的开销,lambda lifting 里提到:可以把程序里,很多捕捉了外围绑定的闭包函数中的这些绑定,转换成函数的参数,从而消除闭包,得到的这个函数就可以自由脱离作用域,被静态的编译到机器码里。这些被 float out 的函数也叫 supercombinator.</p>
<p>在上面的代码中,如果不创建新的节点,顺序计算完了第一个 <code>x</code>,第二个 <code>x</code> 还会再被算一遍。</p>
<p>Spineless reduction 的概念:只有当面临需要重复计算的情况时,才去创建节点,不然就一路顺序算下去</p>
<ul>
<li><a target="_blank" rel="noopener" href="https://en.wikipedia.org/wiki/Graph_reduction">Graph reduction</a></li>
<li><a target="_blank" rel="noopener" href="https://en.wikipedia.org/wiki/Graph_reduction_machine">Graph reduction machine</a></li>
<li><a target="_blank" rel="noopener" href="https://www.zhihu.com/question/54834531/answer/144213668">https://www.zhihu.com/question/54834531/answer/144213668</a></li>
</ul>

</div> 

<script>
    window.onload = detectors();
</script>
    <div class="post-footer">
    <div class="h-line-primary"></div>
    <nav class="post-nav">
        <div class="prev-item">
           
                <div class="icon arrow-left"></div>
                <div class="post-link">
                    <a href="/2024/01/25/%E6%80%A5%E8%AF%8A%E4%B8%8E%E7%81%BE%E9%9A%BE%E5%8C%BB%E5%AD%A6-%E7%83%A7%E4%BC%A4/">Prev</a>
                </div>
            
        </div>
        <div class="next-item">
            
                <div class="icon arrow-right"></div>
                <div class="post-link">
                  <a href="/2024/01/23/%E6%85%A2%E6%80%A7%E8%82%BA%E6%BA%90%E6%80%A7%E5%BF%83%E8%84%8F%E7%97%85/">Next</a>  
                </div>  
            
        </div>
    </nav>
</div>

    
      <div class="post-comment">

     

     
    
    

</div>
     
  
</article>
        </div>
      </div>
      
      <div class="footer">
    <div class="flex-container">
        <div class="footer-text">
            
            
                韩暮秋 | 
            
            
                希望路过的人可以添点柴火让这里暖和点
                
        </div>
    </div>
</div>

    </div>

    
      <div class="search-popup">
    <div class="search-popup-overlay">  
    </div>
    <div class="search-popup-window" >
        <div class="search-header">
            <div class="search-input-container">
              <input autocomplete="off" autocapitalize="off" maxlength="80"
                     placeholder="Search Anything" spellcheck="false"
                     type="search" class="search-input">
            </div>
            <div class="search-close-btn">
                <div class="icon close-btn"></div>
            </div>
        </div>
        <div class="search-result-container">
        </div>
    </div>
</div>

<script>
    const searchConfig = {
        path             : "/search.xml",
        top_n_per_article: "1",
        unescape         : "false",
        trigger: "auto",
        preload: "false"
    }
</script>
<script src="https://cdn.jsdelivr.net/npm/[email protected]/dist/search.js"></script>
<script src="/js/search.js"></script>
    
    

  </body>
</html>