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#!/usr/bin/env python3
def multiplication(Model):
prods = []
# TODO: switch operands so less steps are needed
# switch_mul = Model.productionstring(
# name="switch_mul",
# string="""
# =g>
# =imaginal>
# ==>
# =imaginal>
# """,
# )
# prods.append(switch_mul)
mul_arg1_1 = Model.productionstring(
name="mul_arg1_1",
string="""
=g>
isa math_goal
op mul
arg1 1
arg1 =arg1
arg2 =arg2
==>
=g>
isa math_goal
op done
result =arg2
+imaginal>
isa math_op
op mul
arg1 =arg1
arg2 =arg2
result =arg2
"""
)
mul_arg2_1 = Model.productionstring(
name="mul_arg2_1",
string="""
=g>
isa math_goal
op mul
arg2 1
arg1 =arg1
arg2 =arg2
==>
=g>
isa math_goal
op done
result =arg1
+imaginal>
isa math_op
op mul
arg1 =arg1
arg2 =arg2
result =arg1
"""
)
mul_arg1_0 = Model.productionstring(
name="mul_arg1_0",
string="""
=g>
isa math_goal
op mul
arg1 0
arg1 =arg1
arg2 =arg2
==>
=g>
isa math_goal
op done
result 0
+imaginal>
isa math_op
op mul
arg1 =arg1
arg2 =arg2
result 0
"""
)
mul_arg2_0 = Model.productionstring(
name="mul_arg2_0",
string="""
=g>
isa math_goal
op mul
arg2 0
arg1 =arg1
arg2 =arg2
==>
=g>
isa math_goal
op done
result 0
+imaginal>
isa math_op
op mul
arg1 =arg1
arg2 =arg2
result 0
"""
)
mul_start = Model.productionstring(
name="mul_start",
string="""
=g>
isa math_goal
op mul
arg1 ~0
arg1 ~1
arg2 ~0
arg1 ~1
arg1 =mul
arg2 =arg
ones2 =ones
tens2 =tens
hundreds2 =huns
mul_counter None
?retrieval>
state free
==>
=g>
isa math_goal
mul_counter 1
result =arg
+retrieval>
isa math_op
op add
arg1 =arg
arg2 =arg
""",
)
prods.append(mul_start)
mul_step_success = Model.productionstring(
name="mul_step_success",
string="""
=g>
isa math_goal
op mul
arg1 =mul
arg2 =arg
ones2 =ones
tens2 =tens
hundreds2 =huns
mul_counter =mul_counter
result =result
=retrieval>
isa math_op
op add
arg1 =arg
arg2 =result
result =sum
==>
=g>
isa math_goal
result =sum
+retrieval>
isa math_op
op add
arg1 =mul_counter
arg2 1
""",
)
prods.append(mul_step_success)
mul_done = Model.productionstring(
name="mul_done",
string="""
=g>
isa math_goal
op mul
arg1 =arg1
arg2 =arg2
result =result
mul_counter =mul_counter
=retrieval>
isa math_op
op add
arg1 =mul_counter
arg2 1
result =arg1
==>
=g>
isa math_goal
op done
+imaginal>
isa math_op
op mul
arg1 =arg1
arg2 =arg2
result =result
~retrieval>
""",
)
mul_continue = Model.productionstring(
name="mul_continue",
string="""
=g>
isa math_goal
op mul
arg1 =arg1
arg2 =arg2
mul_counter =mul_counter
result =result
=retrieval>
isa math_op
op add
arg1 =mul_counter
arg2 1
result ~=arg1
result =counted
==>
=g>
isa math_goal
mul_counter =counted
~retrieval>
+retrieval>
isa math_op
op add
arg1 =arg2
arg2 =result
""",
)
mul_step_failure = Model.productionstring(
name="mul_step_failure",
string="""
=g>
isa math_goal
op mul
arg1 =mul
arg2 =arg
ones2 =ones
tens2 =tens
hundreds2 =huns
mul_counter =mul_counter
result =result
?retrieval>
state error
==>
=g>
isa math_goal
nextnextop mul_fail
nextop add
op expand
arg1 =arg
arg2 =result
mem_arg1 =mul
mem_arg2 =arg
ones1 None
tens1 None
hundreds1 None
ones2 None
tens2 None
hundreds2 None
ones_ans None
tens_ans None
hundreds_ans None
result None
~retrieval>
""",
)
# instead of remembering original mult args, maybe should
# start from the beginning, with the addition results now
# retrievable
mul_step_addition_return = Model.productionstring(
name="mul_step_addition_return",
string="""
=g>
isa math_goal
op mul_fail
mul_counter =mul_counter
result =result
mem_arg1 =mem_arg1
mem_arg2 =mem_arg2
==>
=g>
isa math_goal
op mul
arg1 =mem_arg1
arg2 =mem_arg2
+retrieval>
isa math_op
op add
arg1 =mul_counter
arg2 1
""",
)
prods.append(mul_start)
return prods
|