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
|
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd">
<html>
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<title>Mu - 021arithmetic.cc</title>
<meta name="Generator" content="Vim/7.4">
<meta name="plugin-version" content="vim7.4_v1">
<meta name="syntax" content="cpp">
<meta name="settings" content="use_css,pre_wrap,no_foldcolumn,expand_tabs,prevent_copy=">
<meta name="colorscheme" content="minimal">
<style type="text/css">
<!--
pre { white-space: pre-wrap; font-family: monospace; color: #d0d0d0; background-color: #080808; }
body { font-family: monospace; color: #d0d0d0; background-color: #080808; }
* { font-size: 1em; }
.traceContains { color: #008000; }
.Constant { color: #008080; }
.Comment { color: #8080ff; }
.Delimiter { color: #c000c0; }
.Special { color: #ff6060; }
.Identifier { color: #008080; }
-->
</style>
<script type='text/javascript'>
<!--
-->
</script>
</head>
<body>
<pre id='vimCodeElement'>
<span class="Comment">//: Arithmetic primitives</span>
<span class="Delimiter">:(before "End Primitive Recipe Declarations")</span>
ADD<span class="Delimiter">,</span>
<span class="Delimiter">:(before "End Primitive Recipe Numbers")</span>
Recipe_number[<span class="Constant">"add"</span>] = ADD<span class="Delimiter">;</span>
<span class="Delimiter">:(before "End Primitive Recipe Implementations")</span>
case ADD: <span class="Delimiter">{</span>
double result = <span class="Constant">0</span><span class="Delimiter">;</span>
for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i < SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
assert<span class="Delimiter">(</span>scalar<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)));</span>
result += ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span class="Delimiter">}</span>
products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
<span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(scenario add_literal)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>add <span class="Constant">23</span>:literal<span class="Delimiter">,</span> <span class="Constant">34</span>:literal
]
<span class="traceContains">+mem: storing 57 in location 1</span>
<span class="Delimiter">:(scenario add)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>copy <span class="Constant">23</span>:literal
<span class="Constant">2</span>:number<span class="Special"> <- </span>copy <span class="Constant">34</span>:literal
<span class="Constant">3</span>:number<span class="Special"> <- </span>add <span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number
]
<span class="traceContains">+mem: storing 57 in location 3</span>
<span class="Delimiter">:(scenario add_multiple)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>add <span class="Constant">3</span>:literal<span class="Delimiter">,</span> <span class="Constant">4</span>:literal<span class="Delimiter">,</span> <span class="Constant">5</span>:literal
]
<span class="traceContains">+mem: storing 12 in location 1</span>
<span class="Delimiter">:(before "End Primitive Recipe Declarations")</span>
SUBTRACT<span class="Delimiter">,</span>
<span class="Delimiter">:(before "End Primitive Recipe Numbers")</span>
Recipe_number[<span class="Constant">"subtract"</span>] = SUBTRACT<span class="Delimiter">;</span>
<span class="Delimiter">:(before "End Primitive Recipe Implementations")</span>
case SUBTRACT: <span class="Delimiter">{</span>
assert<span class="Delimiter">(</span>scalar<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)));</span>
double result = ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
for <span class="Delimiter">(</span>long long int i = <span class="Constant">1</span><span class="Delimiter">;</span> i < SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
assert<span class="Delimiter">(</span>scalar<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)));</span>
result -= ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span class="Delimiter">}</span>
products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
<span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(scenario subtract_literal)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>subtract <span class="Constant">5</span>:literal<span class="Delimiter">,</span> <span class="Constant">2</span>:literal
]
<span class="traceContains">+mem: storing 3 in location 1</span>
<span class="Delimiter">:(scenario subtract)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>copy <span class="Constant">23</span>:literal
<span class="Constant">2</span>:number<span class="Special"> <- </span>copy <span class="Constant">34</span>:literal
<span class="Constant">3</span>:number<span class="Special"> <- </span>subtract <span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number
]
<span class="traceContains">+mem: storing -11 in location 3</span>
<span class="Delimiter">:(scenario subtract_multiple)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>subtract <span class="Constant">6</span>:literal<span class="Delimiter">,</span> <span class="Constant">3</span>:literal<span class="Delimiter">,</span> <span class="Constant">2</span>:literal
]
<span class="traceContains">+mem: storing 1 in location 1</span>
<span class="Delimiter">:(before "End Primitive Recipe Declarations")</span>
MULTIPLY<span class="Delimiter">,</span>
<span class="Delimiter">:(before "End Primitive Recipe Numbers")</span>
Recipe_number[<span class="Constant">"multiply"</span>] = MULTIPLY<span class="Delimiter">;</span>
<span class="Delimiter">:(before "End Primitive Recipe Implementations")</span>
case MULTIPLY: <span class="Delimiter">{</span>
double result = <span class="Constant">1</span><span class="Delimiter">;</span>
for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i < SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
assert<span class="Delimiter">(</span>scalar<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)));</span>
result *= ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span class="Delimiter">}</span>
products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
<span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(scenario multiply_literal)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>multiply <span class="Constant">2</span>:literal<span class="Delimiter">,</span> <span class="Constant">3</span>:literal
]
<span class="traceContains">+mem: storing 6 in location 1</span>
<span class="Delimiter">:(scenario multiply)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>copy <span class="Constant">4</span>:literal
<span class="Constant">2</span>:number<span class="Special"> <- </span>copy <span class="Constant">6</span>:literal
<span class="Constant">3</span>:number<span class="Special"> <- </span>multiply <span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number
]
<span class="traceContains">+mem: storing 24 in location 3</span>
<span class="Delimiter">:(scenario multiply_multiple)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>multiply <span class="Constant">2</span>:literal<span class="Delimiter">,</span> <span class="Constant">3</span>:literal<span class="Delimiter">,</span> <span class="Constant">4</span>:literal
]
<span class="traceContains">+mem: storing 24 in location 1</span>
<span class="Delimiter">:(before "End Primitive Recipe Declarations")</span>
DIVIDE<span class="Delimiter">,</span>
<span class="Delimiter">:(before "End Primitive Recipe Numbers")</span>
Recipe_number[<span class="Constant">"divide"</span>] = DIVIDE<span class="Delimiter">;</span>
<span class="Delimiter">:(before "End Primitive Recipe Implementations")</span>
case DIVIDE: <span class="Delimiter">{</span>
assert<span class="Delimiter">(</span>scalar<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)));</span>
double result = ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
for <span class="Delimiter">(</span>long long int i = <span class="Constant">1</span><span class="Delimiter">;</span> i < SIZE<span class="Delimiter">(</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
assert<span class="Delimiter">(</span>scalar<span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)));</span>
result /= ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
<span class="Delimiter">}</span>
products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">);</span>
products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>result<span class="Delimiter">);</span>
<span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(scenario divide_literal)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>divide <span class="Constant">8</span>:literal<span class="Delimiter">,</span> <span class="Constant">2</span>:literal
]
<span class="traceContains">+mem: storing 4 in location 1</span>
<span class="Delimiter">:(scenario divide)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>copy <span class="Constant">27</span>:literal
<span class="Constant">2</span>:number<span class="Special"> <- </span>copy <span class="Constant">3</span>:literal
<span class="Constant">3</span>:number<span class="Special"> <- </span>divide <span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number
]
<span class="traceContains">+mem: storing 9 in location 3</span>
<span class="Delimiter">:(scenario divide_multiple)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>divide <span class="Constant">12</span>:literal<span class="Delimiter">,</span> <span class="Constant">3</span>:literal<span class="Delimiter">,</span> <span class="Constant">2</span>:literal
]
<span class="traceContains">+mem: storing 2 in location 1</span>
<span class="Comment">//: Integer division</span>
<span class="Delimiter">:(before "End Primitive Recipe Declarations")</span>
DIVIDE_WITH_REMAINDER<span class="Delimiter">,</span>
<span class="Delimiter">:(before "End Primitive Recipe Numbers")</span>
Recipe_number[<span class="Constant">"divide-with-remainder"</span>] = DIVIDE_WITH_REMAINDER<span class="Delimiter">;</span>
<span class="Delimiter">:(before "End Primitive Recipe Implementations")</span>
case DIVIDE_WITH_REMAINDER: <span class="Delimiter">{</span>
long long int quotient = ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span> / ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>
long long int remainder = static_cast<long long int><span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">))</span> % static_cast<long long int><span class="Delimiter">(</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">));</span>
products<span class="Delimiter">.</span>resize<span class="Delimiter">(</span><span class="Constant">2</span><span class="Delimiter">);</span>
<span class="Comment">// very large integers will lose precision</span>
products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>quotient<span class="Delimiter">);</span>
products<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">1</span><span class="Delimiter">).</span>push_back<span class="Delimiter">(</span>remainder<span class="Delimiter">);</span>
<span class="Identifier">break</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
<span class="Delimiter">:(scenario divide_with_remainder_literal)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number<span class="Special"> <- </span>divide-with-remainder <span class="Constant">9</span>:literal<span class="Delimiter">,</span> <span class="Constant">2</span>:literal
]
<span class="traceContains">+mem: storing 4 in location 1</span>
<span class="traceContains">+mem: storing 1 in location 2</span>
<span class="Delimiter">:(scenario divide_with_remainder)</span>
recipe main [
<span class="Constant">1</span>:number<span class="Special"> <- </span>copy <span class="Constant">27</span>:literal
<span class="Constant">2</span>:number<span class="Special"> <- </span>copy <span class="Constant">11</span>:literal
<span class="Constant">3</span>:number<span class="Delimiter">,</span> <span class="Constant">4</span>:number<span class="Special"> <- </span>divide-with-remainder <span class="Constant">1</span>:number<span class="Delimiter">,</span> <span class="Constant">2</span>:number
]
<span class="traceContains">+mem: storing 2 in location 3</span>
<span class="traceContains">+mem: storing 5 in location 4</span>
<span class="Delimiter">:(scenario divide_with_decimal_point)</span>
recipe main [
<span class="Comment"># todo: literal floats?</span>
<span class="Constant">1</span>:number<span class="Special"> <- </span>divide <span class="Constant">5</span>:literal<span class="Delimiter">,</span> <span class="Constant">2</span>:literal
]
<span class="traceContains">+mem: storing 2.5 in location 1</span>
<span class="Delimiter">:(code)</span>
inline bool scalar<span class="Delimiter">(</span>vector<long long int>& x<span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span class="Identifier">return</span> SIZE<span class="Delimiter">(</span>x<span class="Delimiter">)</span> == <span class="Constant">1</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
inline bool scalar<span class="Delimiter">(</span>vector<double>& x<span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span class="Identifier">return</span> SIZE<span class="Delimiter">(</span>x<span class="Delimiter">)</span> == <span class="Constant">1</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>
</pre>
</body>
</html>
<!-- vim: set foldmethod=manual : -->
|