summaryrefslogtreecommitdiff
path: root/modeling/productions_math.py
blob: 4088546527995efadc05da2bb0b6b23c5c2c061a (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
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
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
#!/usr/bin/env python3

import pyactr as actr

Model = actr.ACTRModel()

DM = Model.decmem
goal = Model.goal
imaginal = Model.set_goal(name="imaginal", delay=0.2)

actr.chunktype("number", ("number", "next", "ones", "tens", "hundreds"))
actr.chunktype("math_goal", ("op", "task"))
actr.chunktype(
    "math_op",
    (
        "op",
        "arg1",
        "arg2",
        "result",
        "hundreds1",
        "tens1",
        "ones1",
        "hundreds2",
        "tens2",
        "ones2",
        "hundreds_ans",
        "tens_ans",
        "ones_ans",
        "carry",
    ),
)

goal.add(actr.makechunk("", "math_goal", op="greater", task="calc"))
imaginal.add(
    actr.makechunk(
        "",
        "math_op",
        op="add",
        arg1=5,
        arg2=2,
        ones1=5,
        tens1=0,
        hundreds1=0,
        ones2=2,
        tens2=0,
        hundreds2=0,
    )
)


# https://stackoverflow.com/a/39644726
def get_digit(number, n):
    return number // 10**n % 10


# Add numbers 0-999 to decmem
for i in range(0, 1000):
    DM.add(
        actr.makechunk(
            f"number{str(i)}",
            "number",
            number=i,
            next=i + 1,
            ones=get_digit(i, 0),
            tens=get_digit(i, 1),
            hundreds=get_digit(i, 2),
        )
    )

# Add comparison relations to single digit numbers
for i in range(0, 10):
    for j in range(0, 10):
        DM.add(
            actr.makechunk(
                f"greater{i}{j}",
                "math_op",
                op="greater",
                arg1=i,
                arg2=j,
                result=max(i, j),
            )
        )
        DM.add(
            actr.makechunk(
                f"lesser{i}{j}",
                "math_op",
                op="lesser",
                arg1=i,
                arg2=j,
                result=min(i, j),
            )
        )
        DM.add(
            actr.makechunk(
                f"plus{i}{j}", "math_op", op="add", arg1=i, arg2=j, result=i + j
            )
        )


def unwind_prod():
    # Model.productionstring(
    #     name="init_math_op",
    #     string="""
    #     =g>
    #     isa     math_op
    #     task    None
    #     arg1    =num1
    #     arg2    =num2
    #     ==>
    #     +retrieval>
    #     isa     number
    #     number    =num1
    #     =g>
    #     task      unwind_left
    #     """,
    # )

    Model.productionstring(
        name="terminate_op",
        string="""
            =g>
            isa     math_goal
            task    finished_op
            =imaginal>
            isa     math_op
            result  =answer
            ==>
            ~g>""",
    )


def greater_than_prod():
    # TODO: if two numbers are equal, extra effort to determine greater one?
    prod_start = Model.productionstring(
        name="greater_start",
        string="""
            =g>
            isa     math_goal
            task    calc
            =imaginal>
            isa     math_op
            op      greater
            hundreds1   =hun1
            hundreds2   =hun1
            tens1       =tens1
            tens2       =tens1
            ones1       =ones1
            ones2       ~=ones1
            ones2       =ones2
            ==>
            +retrieval>
            isa     math_op
            op      greater
            arg1    =ones1
            arg2    =ones2
        """,
    )
    print(prod_start)

    Model.productionstring(
        name="greater_end",
        string="""
        =g>
        isa     math_goal
        =imaginal>
        op      greater
        =retrieval>
        isa     math_op
        op      greater
        result  =ans
        ==>
        =imaginal>
        isa     math_op
        result  =ans
        ~g>
        """,
    )


def addition():
    start_add = Model.productionstring(
        name="start_add",
        string="""
        =goal>
        isa         math_goal
        =imaginal>
        isa         math_op
        op           add
        ones1        =num1
        ones2        =num2
        ones_ans      None
        ==>
        =imaginal>
        isa         math_op
        ones_ans     busy
        +retrieval>
        isa         math_op
        op          add
        arg1        =num1
        arg2        =num2
    """,
    )
    print(start_add)

    add_ones = Model.productionstring(
        name="add_ones",
        string="""
        =goal>
        isa         math_goal
        =imaginal>
        isa         math_op
        op          add
        ones_ans     busy
        ones1        =num1
        ones2        =num2
        =retrieval>
        isa         math_op
        arg1      =num1
        arg2      =num2
        result    =result
        ==>
        =goal>
        isa         math_goal
        =imaginal>
        isa         math_op
        ones_ans    =result
        carry       busy
        +retrieval>
        isa         math_op
        op          add
        arg1        10
        result      =result
    """,
    )
    print(add_ones)

    Model.productionstring(
        name="process_carry",
        string="""
        =goal>
        isa         math_goal
        =imaginal>
        isa         math_op
        op          add
        tens1       =num1
        tens2       =num2
        carry       busy
        ones_ans    =ones
        =retrieval>
        isa         math_op
        op          add
        arg1        10
        result      =ones
        arg2        =remainder
        ==>
        =goal>
        isa         math_goal
        =imaginal>
        isa         math_op
        op          add
        carry       1
        tens_ans    busy
        ones_ans     =remainder
        +retrieval>
        isa         math_op
        op          add
        arg1        =num1
        arg2        =num2
    """,
    )

    Model.productionstring(
        name="no_carry",
        string="""
        =goal>
        isa         math_goal
        =imaginal>
        isa         math_op
        op          add
        tens1       =num1
        tens2       =num2
        ones_ans    =ones
        carry       busy
        ?retrieval>
        buffer      failure
        ==>
        =goal>
        isa         math_goal
        =imaginal>
        isa         math_op
        carry       None
        tens_ans    busy
        +retrieval>
        isa         math_op
        arg1        =num1
        arg2        =num2
    """,
    )

    Model.productionstring(
        name="add_tens_done",
        string="""
        =goal>
        isa         math_goal
        =imaginal>
        isa         math_op
        op          add
        tens_ans    busy
        carry       None
        =retrieval>
        isa         math_op
        op          add
        result      =sum
        ==>
        =imaginal>
        isa         math_op
        tens_ans    =sum
        """,
    )

    add_tens_carry = Model.productionstring(
        name="add_tens_carry",
        string="""
        =goal>
        isa         math_goal
        =imaginal>
        isa         math_op
        op          add
        tens_ans    busy
        carry       1
        =retrieval>
        isa         math_op
        op          add
        result      =sum
        ==>
        =imaginal>
        isa         math_op
        carry       None
        +retrieval>
        isa         math_op
        op          add
        arg1        1
        arg2        =sum
        """,
    )

    print("add_tens_carry: ", add_tens_carry)


# print(DM)

# unwind_prod()
addition()
greater_than_prod()

# Model.goal.add(actr.makechunk("goal", "math_op", op="greater", arg1=5, arg2=9))
print("goal: ", goal)
print("imaginal: ", imaginal)
x = Model.simulation()
x.run()
# print(list(DM))
numbers = [x for x in list(DM) if x.typename != "number" and x.typename != "math_op"]
# print(numbers)