-
Notifications
You must be signed in to change notification settings - Fork 0
/
mandelbrot.bf
341 lines (296 loc) · 7.09 KB
/
mandelbrot.bf
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
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
+++>
+++>
++++++++++++++++>
> storage space
+++>
+++>
++++++++++++++++> 16 to begin with
+>+>+++++++++++++++
>>+>+++++++++++++++
>>>>>>>
48 for zero character
++++++++++++++++
++++++++++++++++
++++++++++++++++
number of iterations
>+++++++++<
<<<<<<<
<<<<<<<<
<
<<<
[->[->[-
>>
[->[->[-
>
sign
[->>>>>>+>>>>>>>>>+<<<<<<<<<<<<<<<]
> int
[->>>>>>+>>>>>>>>>+<<<<<<<<<<<<<<<]
> frac
[->>>>>>+>>>>>>>>>+<<<<<<<<<<<<<<<]
> sign
[->>>>>>+>>>>>>>>>+<<<<<<<<<<<<<<<]
> int
[->>>>>>+>>>>>>>>>+<<<<<<<<<<<<<<<]
> frac
[->>>>>>+>>>>>>>>>+<<<<<<<<<<<<<<<]
zzzzzzzzzzzzzzzzzzzzzzz
>>>>>>>>[->+<<<<<<<<<+>>>>>>>>]>>>
in ii; try to square
START AT IR
[->>>>>+>>>>>++++++++++++++++<<<<<<<<<[->>>>>+>+>>>++<<<<<<<<<]<]
>[->>>>>+>+<<<<<<]>>>>[-<<<<<+>>>>>]
real ipart is nonzero
add 2fr and 16 into accumulator
<<[->>+>>>>>++++++++++++++++<<<<<<[->>>>>>++>>>+>+<<<<<<<<<<]<]
>[->>>>>>>>>+>+<<<<<<<<<<]>[-<<+>>]>
square fr
[->[->+>+<<]>[-<+>]<<]
>>>
[-[-[-[-
[-[-[-[-
[-[-[-[-
[-[-[-[->+>]]]]]]]]]]]]]]]
<[<<]>]
>>>>>
square fi
[-<[-<+<+>>]<[->+<]>>]
<<<
[-[-[-[-
[-[-[-[-
[-[-[-[-
[-[-[-[-<+<]]]]]]]]]]]]]]]
>[>>]<]
>>
move fi back
[-<<<<<<<<<+>>>>>>>>>]<<<
check upper bits of result only
[-[-[-[-
[-[-[-[-
[-[-[-[-
[-[-[-[->+>]]]]]]]]]]]]]]]
<[<<]>]
compare to 2 squared
>>+<<<++++
move the counter if exceeded circle bounds
[[->]>[-<]<]+>>>[<<<<<<<<<<<<<<[-<+<+>>]>>>>>>>>>>>>>>>]
<-<[-]<[-]<[-]
move fr back
<<[-<<<<<<+>>>>>>]<<<<<<<<<
[>>
ir and ii so
we move fr plus fi plus 16 into the im accumulator
2fr into the plus re accumulator and
2fi into the minus re accumulator
[>>>[-<<<->[->>>>+>>>>+>++>>>+>+<<<<<<<<<<<<<]>>>[->>+>>>+>>>++>+>>>+<<<<<<<<<<<<]>>>>>++++++++++++++++<<<<<<]
else double check the ir is still 1 (and ii is 0)
so we move fi into the im accumulator
and 16 plus 2fr into the plus re accumulator
<<<[->[->>>>+>>>>>++>>>+>+<<<<<<<<<<<<<]>>>[->>+>>>+>>>>+>>>+<<<<<<<<<<<<]>>>>>>++++++++++++++++<<<<<<<<<<]
else if ii is 1 and ir was 0
move fr into the im accumulator
and 16 plus 2fi into the minus re accumulator
]>>>[-<<[->>>>+>>>>+>>>>+>+<<<<<<<<<<<<<]>>>[->>+>>>>>>++>+>>>+<<<<<<<<<<<<]>>>>>>>>++++++++++++++++<<<<<<<<<]
if there's any data left in fr and fi cells
move them to their 'registers'
<<[->>>>+>>>>>>>>+>+<<<<<<<<<<<<<]>>>[->>+>>>>>>>+>>>+<<<<<<<<<<<<]
multiply fr and fi
>>[-<[->>+>+<<<]>>[-<<+>>]<]
>>
shift down four bytes
[-[-[-[-
[-[-[-[-
[-[-[-[-
[-[-[-[->+>>]]]]]]]]]]]]]]]
<<[<<<]>>]
>>>>>>>>>+<<<
[[->]>[-<]<]+>>>[>]<-<<
check if positive
[-<+[-<[->>+>+<<<]>>[-<<+>>]<]
>>
[-[-[-[-
[-[-[-[-
[-[-[-[-
[-[-[-[-<<<<<<+>]]]]]]]]]]]]]]]
<[>>>>>]>]
<]<
check if we were negative instead
[->>[-<<<[->+>+<<]>[-<+>]>>]<
[-[-[-[-
[-[-[-[-
[-[-[-[-
[-[-[-[-<<<+<]]]]]]]]]]]]]]]
>[>>>>]<]<]
remove the sum of fr and fi and replace with a balance
<[-]
there's still some fi here from earlier
<<<<[-<++>]<<<<[-]
at si
<<<[<<<[->>>-<<<]>>>[->>>>>+<<<<<]]
if sr is 1 and si is 0
<<<[->>>>>>>>+<<<<<<<<]
<<<<
nondestructively copy fi
[->>>>+>>>>>>>+<<<<<<<<<<<]>>>>[-<<<<+>>>>]<<<<<
nondestructively copy ii
[->>>>>+>>>>>>>++++++++++++++++<<<<<<<<<<<<]>>>>>[-<<<<<+>>>>>]<<<<<<
nondestructively copy si
[->>>>>>+>>>>>>+<<<<<<<<<<<<]>>>>>>[-<<<<<<+>>>>>>]
go to the sign we just calculated
>>>>>>
both negative
[>>[->[-<<+>>]<<<-<+>>>]<<
if only sign from c is negative
[>[[->]>[-<]<]+<<[<]>>>[-<+<-<+>>>]<<[->->>[-<<+>>]<<<]]
]
if only calculated sign is negative
>>[-<<+>>>[[-<]<[->]>]<<<[-<]>[-<+>>+>>[-<<+>>]<<<]>>]
both positive
>[-<<+>>]
<<
move sign over
<<[-<<+>>]>>
move fpart over
[-<<+>>>+<]
>
[-[-[-[-
[-[-[-[-
[-[-[-[-
[-[-[-[->+>]]]]]]]]]]]]]]]
<[<<]>]
>[->+<<<<<----------------<+>>>>>]
<++<<+>>
[[->]>[-<]<]+<<[<<<<<<<[-<+<+>>]>>>>>>>>]
IMPORTANT IF WE EXCEED 2i or minus 2i
>[-]>[-]>[-]
<<<<-
ended in the cell immediately past storage registers
<<<<<<<<<<<<<
Real part
move fraction
[->>>>>>>+>+<<<<<<<<]>>>>>>>[-<<<<<<<+>>>>>>>]<<<<<<<<
move integer
[->>>>>>>>+>++++++++++++++++<<<<<<<<<]>>>>>>>>[-<<<<<<<<+>>>>>>>>]<<<<<<<<<
move sign
[->>>>>>>>>+<<<<<<<<<]>>>>>>>>>
if the sign is 1; move the number into the minus register and duplicate it back
[-<<<<<<<<<+>>>>>>>>>>[->>>>>>>>>>>>+<<<<<<<<<<<<]<]>
otherwise move into the plus register
[->>>>>>>>>>+<<<<<<<<<<]
>>>>>>>>>+>>>
FINALLY subtract the registers
[[-<]<[->]>]<<<[-<]>[-<+>>+>>[-<<+>>]<<<]
move sign
<[-<<<<<<<<<+>>>>>>>>>]>
move the rest
>[-<+<<<<<<<<+>>>>>>>>>]
<
[-[-[-[-
[-[-[-[-
[-[-[-[-
[-[-[-[->+>]]]]]]]]]]]]]]]
<[<<]>]
>[-<+<<<<<<<<----------------<+>>>>>>>>>>]
<<<++<<+>>
[[->]>[-<]<]+<<[<<<<<<<[-<+<+>>]>>>>>>>>]>[-]>[-]
<<<-<<<<<<<
Circle test
if we haven't already discluded this result
[>>
[->>>>>+>>>>>++++++++++++++++<<<<<<<<<[->>>>>+>+>>>++<<<<<<<<<]<]
>[->>>>>+>+<<<<<<]>>>>[-<<<<<+>>>>>]
real ipart is nonzero
add 2fr and 16 into accumulator
<<[->>+>>>>>++++++++++++++++<<<<<<[->>>>>>++>>>+>+<<<<<<<<<<]<]
>[->>>>>>>>>+>+<<<<<<<<<<]>[-<<+>>]>
square fr
[->[->+>+<<]>[-<+>]<<]
>>>
[-[-[-[-
[-[-[-[-
[-[-[-[-
[-[-[-[->+>]]]]]]]]]]]]]]]
<[<<]>]
>>>>>
square fi
[-<[-<+<+>>]<[->+<]>>]
<<<
[-[-[-[-
[-[-[-[-
[-[-[-[-
[-[-[-[-<+<]]]]]]]]]]]]]]]
>[>>]<]
>>
move fi back
[-<<<<<<<<<+>>>>>>>>>]<<<
check upper bits of result only
[-[-[-[-
[-[-[-[-
[-[-[-[-
[-[-[-[->+>]]]]]]]]]]]]]]]
<[<<]>]
compare to 2 squared
>>+<<<++++
move the counter if exceeded circle bounds
[[->]>[-<]<]+>>>[<<<<<<<<<<<<<<[-<+<+>>]>>>>>>>>>>>>>>>]
<-<[-]<[-]<[-]
move fr back
<<[-<<<<<<+>>>>>>]<<<<<<<<<
[->>>>>>>+<<<<<<<]
]
move iteration tester back less than one
>>>>>>>[-[-<<<<<<<+>>>>>>>]]<<<<<<<]
output; go back to number of iterations
<<.>[-<->]<<<<<<<<[->>>>>>>>+<<<<<<<<]>>>>>>>>>>
clear out the registers
[-]>[-]>[-]>
[-]>[-]>[-]
<<<<<<<<<
zzzzzzzzzzzzzzzzzzzzzzz
move back the number
[-<<<<<<+>>>>>>]< frac
[-<<<<<<+>>>>>>]< int
[-<<<<<<+>>>>>>]< sign
[-<<<<<<+>>>>>>]< frac
[-<<<<<<+>>>>>>]< int
[-<<<<<<+>>>>>>] sign
<<<<
16 more times
if the sign is 1; decrement twice
move the fractional part into sign; decrement once
move the fractional part back; decrement again
+<<[[-<<<<+>>>>]>>-[-<<+>>]<<[-[->>+<<]]]
move back the sign
<<<<[->>>>+<<<<]>>>>
add 16 again and increment the ipart
<]++++++++++++++++>>+<
if negative; make it 15 times instead; add 31 into the real fractional part
when we subtract 16; we'll get to 15
[<->[-<<<<+>>>>]>>+++++++++++++++++++++++++++++++<<]>>----------------<<
<<<<[->>>>+<<<<]>>
take away the integer part in the actual storage register
[-[-<<+>>]>>[[-<<+>>]>--<]<<[->>+<<]]<<[->>+<<]>>
]
if we're going positive; then we have 16 in our counter instead of 15
<[-[-<+>]>>+>->[-]>[-]<<<<<]<[->+<]>>+++<]
prepare for next iteration: put the right initial value back in
+++>>>+>->++++++++++.+++++>
if the sign is negative; start adding 2
[[->>>+<<<]>>++<<]>>>[-<<<+>>>]
protect against zeroes; decrement
<[-[->+<]]>[-<+>]
<<<<<<<<<<<
]++++++++++++++++
>>>>>>>>>>+++++++++++++++<<
[[->>>+<<<]>++>-------------------------------<<]>[-[->>>+<<<]]>>[-<<<+>>>]>[-<<<+>>>]
<<<<<<<<<<<<<
[-[->>+<<]]>>[-<<+>>]<<
]
15 instead of 16 so we can increment properly
>-
flip the sign and start with 1/16
>>>>>>>>+>>[-]+<<<<<<<<<<
<<[-[->>>+<<<]]>>>[-<<<+>>>]
keep going on with 3
<<+++<
]