docs/doc/fromDyalog.html


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

<head>
  <link href="../favicon.ico" rel="shortcut icon" type="image/x-icon"/>
  <link href="../style.css" rel="stylesheet"/>
  <title>BQN–Dyalog APL dictionary</title>
</head>
<div class="nav"><a href="https://github.com/mlochbaum/BQN">BQN</a></div>
<h1 id="bqndyalog-apl-dictionary">BQN–Dyalog APL dictionary</h1>
<p>A few tables to help users of Dyalog APL (or similar) get started quickly on BQN. Here we assume <code><span class='Value'>⎕</span><span class='Function'>ML</span></code> is 1 for Dyalog.</p>
<h2 id="for-reading">For reading</h2>
<p>Here are some closest equivalents in Dyalog APL for the BQN functions that don't use the same glyphs as APL. Correspondence can be approximate, and <code><span class='Function'>⌽</span></code> is just used as a decorator to mean &quot;reverse some things&quot;.</p>
<table>
<thead>
<tr>
<th>BQN</th>
<th><code><span class='Function'>⋆</span></code></th>
<th><code><span class='Function'>√</span></code></th>
<th><code><span class='Function'>∧</span></code></th>
<th><code><span class='Function'>∨</span></code></th>
<th><code><span class='Function'>¬</span></code></th>
<th><code><span class='Function'>≠</span></code></th>
<th><code><span class='Function'>&lt;</span></code></th>
<th><code><span class='Function'>&gt;</span></code></th>
<th><code><span class='Function'>≢</span></code></th>
<th><code><span class='Function'>⥊</span></code></th>
<th><code><span class='Function'>∾</span></code></th>
<th><code><span class='Function'>≍</span></code></th>
</tr>
</thead>
<tbody>
<tr>
<td>Monad</td>
<td><code><span class='Value'>*</span></code></td>
<td><code><span class='Value'>*</span><span class='Modifier2'>∘</span><span class='Paren'>(</span><span class='Function'>÷</span><span class='Number'>2</span><span class='Paren'>)</span></code></td>
<td><code><span class='Value'>[</span><span class='Function'>⍋</span><span class='Value'>]</span></code></td>
<td><code><span class='Value'>[</span><span class='Function'>⍒</span><span class='Value'>]</span></code></td>
<td><code><span class='Value'>~</span></code></td>
<td><code><span class='Function'>≢</span></code></td>
<td><code><span class='Value'>⊂</span></code></td>
<td><code><span class='Function'>↑</span></code></td>
<td><code><span class='Value'>⍴</span></code></td>
<td><code><span class='Separator'>,</span></code></td>
<td><code><span class='Value'>⊃</span><span class='Separator'>,</span><span class='Value'>⌿</span></code></td>
<td><code><span class='Function'>↑</span><span class='Separator'>,</span><span class='Value'>⍥⊂</span></code></td>
</tr>
<tr>
<td>Dyad</td>
<td><code><span class='Value'>*</span></code></td>
<td><code><span class='Value'>*</span><span class='Modifier2'>∘</span><span class='Function'>÷</span><span class='Value'>⍨</span></code></td>
<td><code><span class='Function'>∧</span></code></td>
<td><code><span class='Function'>∨</span></code></td>
<td><code><span class='Number'>1</span><span class='Function'>+-</span></code></td>
<td><code><span class='Function'>≠</span></code></td>
<td><code><span class='Function'>&lt;</span></code></td>
<td><code><span class='Function'>&gt;</span></code></td>
<td><code><span class='Function'>≢</span></code></td>
<td><code><span class='Value'>⍴</span></code></td>
<td><code><span class='Value'>⍪</span></code></td>
<td><code><span class='Function'>↑</span><span class='Separator'>,</span><span class='Value'>⍥⊂</span></code></td>
</tr>
</tbody>
</table>
<table>
<thead>
<tr>
<th>BQN</th>
<th><code><span class='Function'>↑</span></code></th>
<th><code><span class='Function'>↓</span></code></th>
<th><code><span class='Function'>↕</span></code></th>
<th><code><span class='Function'>/</span></code></th>
<th><code><span class='Function'>⍋</span></code></th>
<th><code><span class='Function'>⍒</span></code></th>
<th><code><span class='Function'>⊏</span></code></th>
<th><code><span class='Function'>⊑</span></code></th>
<th><code><span class='Function'>⊐</span></code></th>
<th><code><span class='Function'>⊒</span></code></th>
<th><code><span class='Function'>∊</span></code></th>
<th><code><span class='Function'>⍷</span></code></th>
<th><code><span class='Function'>⊔</span></code></th>
</tr>
</thead>
<tbody>
<tr>
<td>Monad</td>
<td><code><span class='Separator'>,</span><span class='Value'>⍀</span></code></td>
<td><code><span class='Function'>⌽</span><span class='Separator'>,</span><span class='Function'>⌽</span><span class='Value'>⍀</span><span class='Function'>⌽</span></code></td>
<td><code><span class='Value'>⍳</span></code></td>
<td><code><span class='Value'>⍸</span></code></td>
<td><code><span class='Function'>⍋</span></code></td>
<td><code><span class='Function'>⍒</span></code></td>
<td><code><span class='Function'>⊣</span><span class='Value'>⌿</span></code></td>
<td><code><span class='Value'>⊃</span></code></td>
<td></td>
<td><code><span class='Value'>…</span></code></td>
<td><code><span class='Function'>≠</span></code></td>
<td><code><span class='Value'>∪</span></code></td>
<td><code><span class='Value'>⌸</span></code></td>
</tr>
<tr>
<td>Dyad</td>
<td><code><span class='Function'>↑</span></code></td>
<td><code><span class='Function'>↓</span></code></td>
<td><code><span class='Separator'>,</span><span class='Value'>⌿</span></code></td>
<td><code><span class='Value'>⌿</span></code></td>
<td><code><span class='Value'>⍸</span></code></td>
<td><code><span class='Function'>⌽</span><span class='Value'>⍸</span><span class='Function'>⌽</span></code></td>
<td><code><span class='Value'>⌷</span></code></td>
<td><code><span class='Value'>⊃</span></code></td>
<td><code><span class='Value'>⍳</span></code></td>
<td><code><span class='Value'>…</span></code></td>
<td><code><span class='Function'>∊</span></code></td>
<td><code><span class='Function'>⍷</span></code></td>
<td><code><span class='Value'>⌸</span></code> or <code><span class='Value'>⊆</span></code></td>
</tr>
</tbody>
</table>
<p>Modifiers are a little harder. Many have equivalents in some cases, but Dyalog sometimes chooses different functionality based on whether the operand is an array. In BQN an array is always treated as a constant function.</p>
<table>
<thead>
<tr>
<th>BQN</th>
<th><code><span class='Modifier'>¨</span></code></th>
<th><code><span class='Modifier'>⌜</span></code></th>
<th><code><span class='Modifier'>˝</span></code></th>
<th><code><span class='Modifier2'>⎉</span></code></th>
<th><code><span class='Modifier2'>⍟</span></code></th>
<th><code><span class='Modifier'>˜</span></code></th>
<th><code><span class='Modifier2'>∘</span></code></th>
<th><code><span class='Modifier2'>○</span></code></th>
<th><code><span class='Modifier2'>⟜</span></code></th>
</tr>
</thead>
<tbody>
<tr>
<td>Dyalog</td>
<td><code><span class='Modifier'>¨</span></code></td>
<td><code><span class='Modifier2'>∘</span><span class='Number'>.</span></code></td>
<td><code><span class='Value'>⌿</span></code></td>
<td><code><span class='Value'>⍤</span></code></td>
<td><code><span class='Value'>⍣</span></code></td>
<td><code><span class='Value'>⍨</span></code></td>
<td><code><span class='Value'>⍤</span></code></td>
<td><code><span class='Value'>⍥</span></code></td>
<td><code><span class='Modifier2'>∘</span></code></td>
</tr>
</tbody>
</table>
<p>In BQN <code><span class='Modifier2'>⎉</span></code> is Rank and <code><span class='Modifier2'>∘</span></code> is Atop. Dyalog's Atop (<code><span class='Value'>⍤</span></code>) and Over (<code><span class='Value'>⍥</span></code>) were added in version 18.0.</p>
<h2 id="for-writing">For writing</h2>
<p>The tables below give approximate implementations of Dyalog primitives for the ones that aren't the same. First- and last-axis pairs are also mostly omitted. BQN just has the first-axis form, and you can get the last-axis form with <code><span class='Modifier2'>⎉</span><span class='Number'>1</span></code>.</p>
<table>
<tr><th colspan=3>Functions</th></tr>
<tr><th> Glyph          </th><th> Monadic                      </th><th> Dyadic </th>               </tr>
<tr><td> <code><span class='Value'>*</span></code> </td><td colspan=2><code><span class='Function'>⋆</span></code></td>                                      </tr>
<tr><td> <code><span class='Modifier2'>⍟</span></code> </td><td colspan=2><code><span class='Function'>⋆</span><span class='Modifier'>⁼</span></code></td>                                     </tr>
<tr><td> <code><span class='Function'>!</span></code> </td><td colspan=2>Implement it yourself</td>                               </tr>
<tr><td> <code><span class='Modifier2'>○</span></code> </td><td colspan=2>Some complex exponential stuff, maybe</td>               </tr>
<tr><td> <code><span class='Value'>~</span></code> </td><td> <code><span class='Function'>¬</span></code>               </td><td> <code><span class='Function'>¬</span><span class='Modifier2'>∘</span><span class='Function'>∊/⊣</span></code></td>    </tr>
<tr><td> <code><span class='Value'>?</span></code> </td><td colspan=2>Library?</td>                                            </tr>
<tr><td> <code><span class='Value'>⍲</span></code> </td><td>                              </td><td> <code><span class='Function'>¬</span><span class='Modifier2'>∘</span><span class='Function'>∧</span></code></td>      </tr>
<tr><td> <code><span class='Value'>⍱</span></code> </td><td>                              </td><td> <code><span class='Function'>¬</span><span class='Modifier2'>∘</span><span class='Function'>∨</span></code></td>      </tr>
<tr><td> <code><span class='Value'>⍴</span></code> </td><td> <code><span class='Function'>≢</span></code>               </td><td> <code><span class='Function'>⥊</span></code></td>        </tr>
<tr><td> <code><span class='Separator'>,</span></code> </td><td> <code><span class='Function'>⥊</span></code>               </td><td> <code><span class='Function'>∾</span><span class='Modifier2'>⎉</span><span class='Number'>1</span></code></td>      </tr>
<tr><td> <code><span class='Value'>⍪</span></code> </td><td> <code><span class='Function'>⥊</span><span class='Modifier'>˘</span></code>              </td><td> <code><span class='Function'>∾</span></code></td>        </tr>
<tr><td> <code><span class='Function'>↑</span></code> </td><td> <code><span class='Function'>></span></code>               </td><td> <code><span class='Function'>↑</span></code></td>        </tr>
<tr><td> <code><span class='Function'>↓</span></code> </td><td> <code><span class='Function'><</span><span class='Modifier'>˘</span></code>              </td><td> <code><span class='Function'>↑</span></code></td>        </tr>
<tr><td> <code><span class='Value'>⊂</span></code> </td><td> <code><span class='Function'><</span></code>               </td><td> <code><span class='Function'>+</span><span class='Modifier'>`</span><span class='Modifier2'>⊸</span><span class='Function'>⊔</span></code></td>     </tr>
<tr><td> <code><span class='Value'>⊆</span></code> </td><td> <code><span class='Function'><</span><span class='Modifier2'>⍟</span><span class='Paren'>(</span><span class='Number'>0</span><span class='Function'><≡</span><span class='Paren'>)</span></code>         </td><td> <code><span class='Function'>⊔</span></code></td>        </tr>
<tr><td> <code><span class='Function'>∊</span></code> </td><td> <code><span class='Brace'>{</span><span class='Number'>0</span><span class='Function'>=≡</span><span class='Value'>𝕩:</span><span class='Function'>⥊</span><span class='Value'>𝕩</span><span class='Separator'>⋄</span><span class='Function'>∾⥊</span><span class='Value'>∇</span><span class='Modifier'>¨</span><span class='Value'>𝕩</span><span class='Brace'>}</span></code> </td><td> <code><span class='Function'>∊</span></code></td>        </tr>
<tr><td> <code><span class='Value'>⊃</span></code> </td><td colspan=2><code><span class='Function'>⊑</span></code></td>                                      </tr>
<tr><td> <code><span class='Value'>⍀</span></code> </td><td>                              </td><td> <code><span class='Function'>/</span><span class='Modifier'>⁼</span></code></td>       </tr>
<tr><td> <code><span class='Value'>∩</span></code> </td><td>                              </td><td> <code><span class='Function'>∊/⊣</span></code></td>      </tr>
<tr><td> <code><span class='Value'>∪</span></code> </td><td> <code><span class='Function'>⍷</span></code>               </td><td> <code><span class='Function'>⊣∾∊</span><span class='Modifier'>˜</span><span class='Function'>¬</span><span class='Modifier2'>⊸</span><span class='Function'>/⊢</span></code></td> </tr>
<tr><td> <code><span class='Value'>⍳</span></code> </td><td> <code><span class='Function'>↕</span></code>               </td><td> <code><span class='Function'>⊐</span></code></td>        </tr>
<tr><td> <code><span class='Value'>⍸</span></code> </td><td> <code><span class='Function'>/</span></code>               </td><td> <code><span class='Function'>⍋</span></code></td>        </tr>
<tr><td> <code><span class='Function'>⍋</span></code> </td><td> <code><span class='Function'>⍋</span></code>               </td><td> Give up </td>              </tr>
<tr><td> <code><span class='Function'>⍒</span></code> </td><td> <code><span class='Function'>⍒</span></code>               </td><td> Give up </td>              </tr>
<tr><td> <code><span class='Function'>≢</span></code> </td><td> <code><span class='Function'>≠</span></code>               </td><td> <code><span class='Function'>≢</span></code></td>        </tr>
<tr><td> <code><span class='Value'>⍎</span></code> </td><td colspan=2 rowspan=2>To be decided</td>                             </tr>
<tr><td> <code><span class='Value'>⍕</span></code> </td>                                                                       </tr>
<tr><td> <code><span class='Value'>⊥</span></code> </td><td>                              </td><td> <code><span class='Brace'>{</span><span class='Function'>+</span><span class='Modifier2'>⟜</span><span class='Paren'>(</span><span class='Value'>𝕨</span><span class='Modifier2'>⊸</span><span class='Function'>×</span><span class='Paren'>)</span><span class='Modifier'>´</span><span class='Function'>⌽</span><span class='Value'>𝕩</span><span class='Brace'>}</span></code>    </td> </tr>
<tr><td> <code><span class='Value'>⊤</span></code> </td><td>                              </td><td> <code><span class='Brace'>{</span><span class='Value'>𝕨</span><span class='Function'>|</span><span class='Number'>1</span><span class='Function'>↓⌊</span><span class='Modifier2'>∘</span><span class='Function'>÷</span><span class='Modifier'>`</span><span class='Modifier2'>⌾</span><span class='Function'>⌽</span><span class='Value'>𝕨</span><span class='Function'>∾<</span><span class='Value'>𝕩</span><span class='Brace'>}</span></code></td> </tr>
<tr><td> <code><span class='Value'>⌹</span></code> </td><td colspan=2><code><span class='Function'>+</span><span class='Modifier'>˝</span><span class='Modifier2'>∘</span><span class='Function'>×</span><span class='Modifier2'>⎉</span><span class='Number'>1</span><span class='Ligature'>‿</span><span class='Number'>∞</span><span class='Modifier'>⁼</span></code> I guess</td>                      </tr>
<tr><td> <code><span class='Value'>⌷</span></code> </td><td> N/A                          </td><td> <code><span class='Function'>⊏</span></code></td>        </tr>
</table>

<table>
<tr><th colspan=3>Operators</th></tr>
<tr><th> Syntax           </th><th> Monadic          </th><th> Dyadic                </th></tr>
<tr><td> <code><span class='Value'>⌿</span></code>   </td><td> <code><span class='Modifier'>¨˝</span></code>  </td><td> <code><span class='Function'>↕</span></code>        </td></tr>
<tr><td> <code><span class='Value'>⍀</span></code>   </td><td colspan=2> <code><span class='Function'>↑</span></code> or <code><span class='Modifier'>`</span></code>       </td></tr>
<tr><td> <code><span class='Modifier'>¨</span></code>   </td><td colspan=2> <code><span class='Modifier'>¨</span></code>                         </td></tr>
<tr><td> <code><span class='Value'>⍨</span></code>   </td><td colspan=2> <code><span class='Modifier'>˜</span></code>                         </td></tr>
<tr><td> <code><span class='Value'>⍣</span></code>   </td><td colspan=2> <code><span class='Modifier2'>⍟</span></code>                         </td></tr>
<tr><td> <code><span class='Value'>f.g</span></code> </td><td>                  </td><td> <code><span class='Value'>f</span><span class='Modifier'>˝</span><span class='Modifier2'>∘</span><span class='Value'>g</span><span class='Modifier2'>⎉</span><span class='Number'>1</span><span class='Ligature'>‿</span><span class='Number'>∞</span></code> </td></tr>
<tr><td> <code><span class='Modifier2'>∘</span><span class='Number'>.f</span></code> </td><td>                  </td><td> <code><span class='Value'>f</span><span class='Modifier'>⌜</span></code>       </td></tr>
<tr><td> <code><span class='Function'>A</span><span class='Modifier2'>∘</span><span class='Value'>g</span></code> </td><td> <code><span class='Function'>A</span><span class='Modifier2'>⊸</span><span class='Value'>g</span></code> </td><td>                       </td></tr>
<tr><td> <code><span class='Value'>f</span><span class='Modifier2'>∘</span><span class='Function'>B</span></code> </td><td> <code><span class='Value'>f</span><span class='Modifier2'>⟜</span><span class='Function'>B</span></code> </td><td>                       </td></tr>
<tr><td> <code><span class='Value'>f</span><span class='Modifier2'>∘</span><span class='Value'>g</span></code> </td><td colspan=2> <code><span class='Value'>f</span><span class='Modifier2'>⟜</span><span class='Value'>g</span></code>                       </td></tr>
<tr><td> <code><span class='Value'>f⍤</span><span class='Function'>B</span></code> </td><td colspan=2> <code><span class='Value'>f</span><span class='Modifier2'>⎉</span><span class='Function'>B</span></code>                       </td></tr>
<tr><td> <code><span class='Value'>f⍤g</span></code> </td><td colspan=2> <code><span class='Value'>f</span><span class='Modifier2'>∘</span><span class='Value'>g</span></code>                       </td></tr>
<tr><td> <code><span class='Value'>f⍥g</span></code> </td><td colspan=2> <code><span class='Value'>f</span><span class='Modifier2'>○</span><span class='Value'>g</span></code>                       </td></tr>
<tr><td> <code><span class='Value'>f</span><span class='String'>@</span><span class='Value'>v</span></code> </td><td colspan=2> <code><span class='Value'>f</span><span class='Modifier2'>⌾</span><span class='Paren'>(</span><span class='Value'>v</span><span class='Modifier2'>⊸</span><span class='Function'>⊏</span><span class='Paren'>)</span></code>                   </td></tr>
<tr><td> <code><span class='Value'>f⍠</span><span class='Function'>B</span></code> </td><td colspan=2> Uh                                     </td></tr>
<tr><td> <code><span class='Value'>f⌸</span></code>  </td><td><code><span class='Function'>⊐⊔↕</span><span class='Modifier2'>∘</span><span class='Function'>≠</span></code></td><td><code><span class='Function'>⊐</span><span class='Modifier2'>⊸</span><span class='Function'>⊔</span></code>       </td></tr>
<tr><td> <code><span class='Value'>f⌺</span><span class='Function'>B</span></code> </td><td colspan=2> <code><span class='Function'>↕</span></code>                         </td></tr>
<tr><td> <code><span class='Function'>A</span><span class='Value'>⌶</span></code>  </td><td colspan=2> <code><span class='Value'>•</span></code>                         </td></tr>
<tr><td> <code><span class='Value'>f&</span></code>  </td><td colspan=2> Nothing yet                            </td></tr>
</table>