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from typing import List, Dict
from mathgap.logicalforms.logicalform import LogicalForm
from mathgap.natlang.templates.template import WHITESPACE
from mathgap.trees.generators import MultiGenerator
from mathgap.trees.sampling.order import OrderSampler
from mathgap.generation_util import *
from data.util import DATA_FOLDER
def generate_linear_comparison(nr_problems: int, min_depth: int, max_depth: int, seed: int = None, data_folder: str = DATA_FOLDER) -> List[Dict[str, str]]:
"""
Generates a dataset of linear mwps with comparison inference rules, where the underlying proof tree is of depth between min_depth and max_depth.
"""
# 1. Define the generators for generating the proof-trees
# In our case, we want a mixture of depths, where each depth is equally likely to occur
# (hence all sub-generators have weight 1.0)
weights_by_generator = {
default_generator(use_attribute=atrr_unit[0], use_unit=atrr_unit[1],
comp_same_entity_prob=1.0, compeq_same_entity_prob=1.0,
stopping_criterion=BranchDepthCriterion(i),
start_types=CONT_START_TYPE, inference_rules=COMP_RULESET): 1.0
for i in range(min_depth, max_depth+1) for atrr_unit in [[False, False], [True, False], [False, True]]
}
generator = MultiGenerator(weights_by_generator)
# 2. Load the default instantiator but use the agents, entities etc specified in the data-folder of this experiment
# The instantiator will be used to instantiate properties with values (e.g. agent1 -> Alice, quantity1 -> 4)
instantiator = default_instantiator(data_folder=data_folder, dataversion="v1", leaf_min_value=2, leaf_max_value=20,
inner_min_value=2, inner_max_value=10_000)
# 3. Load template renderers and samplers
# They will be used to express logical forms and deduction steps as natural language
ps_template_sampler, ps_answers_template_sampler, ps_renderer, rt_template_sampler, rt_renderer \
= default_templates_and_samplers(data_folder, "v1", WHITESPACE)
# 4. Now, we actually generate the mwps
mwps = generate_mwps(nr_problems, generator, instantiator, CANONICAL_ORDER_SAMPLER,
ps_template_sampler, ps_answers_template_sampler, ps_renderer,
rt_template_sampler, rt_renderer, seed)
# 5. extract the required information from the mwps
return [{
"problem": mwp.ps_nl,
"reasoning_trace": mwp.rt_nl,
"answer": mwp.numerical_answers[-1],
"answer_nl": mwp.answers_nl,
"depth": mwp.tree.depth,
"width": len(mwp.tree.leaf_nodes)
} for mwp in mwps]
def generate_linear_transfer(nr_problems: int, min_depth: int, max_depth: int, seed: int = None, data_folder: str = DATA_FOLDER) -> List[Dict[str, str]]:
"""
Generates a dataset of linear mwps with transfer inference rules, where the underlying proof tree is of depth between min_depth and max_depth.
"""
weights_by_generator = {
default_generator(use_attribute=atrr_unit[0], use_unit=atrr_unit[1],
comp_same_entity_prob=1.0, compeq_same_entity_prob=1.0,
stopping_criterion=BranchDepthCriterion(i),
start_types=CONT_START_TYPE, inference_rules=TRANSFER_RULESET): 1.0
for i in range(min_depth, max_depth+1) for atrr_unit in [[False, False], [True, False], [False, True]]
}
generator = MultiGenerator(weights_by_generator)
instantiator = default_instantiator(data_folder=data_folder, dataversion="v1", leaf_min_value=2, leaf_max_value=20,
inner_min_value=2, inner_max_value=10_000)
ps_template_sampler, ps_answers_template_sampler, ps_renderer, rt_template_sampler, rt_renderer \
= default_templates_and_samplers(data_folder, "v1", WHITESPACE)
mwps = generate_mwps(nr_problems, generator, instantiator, CANONICAL_ORDER_SAMPLER,
ps_template_sampler, ps_answers_template_sampler, ps_renderer,
rt_template_sampler, rt_renderer, seed)
return [{
"problem": mwp.ps_nl,
"reasoning_trace": mwp.rt_nl,
"answer": mwp.numerical_answers[-1],
"answer_nl": mwp.answers_nl,
"depth": mwp.tree.depth,
"width": len(mwp.tree.leaf_nodes)
} for mwp in mwps]
def generate_linear_depth(nr_problems: int, min_depth: int, max_depth: int, seed: int = None, data_folder: str = DATA_FOLDER) -> List[Dict[str, str]]:
"""
Generates a dataset of linear mwps with transfer and commparison inference rules, where the underlying proof tree is of depth between min_depth and max_depth.
"""
weights_by_generator = {
default_generator(use_attribute=False, use_unit=unit,
comp_same_entity_prob=1.0, compeq_same_entity_prob=1.0,
stopping_criterion=BranchDepthCriterion(i),
start_types=CONT_START_TYPE, inference_rules=COMP_TRANSFER_RULESET): 1.0
for i in range(min_depth, max_depth+1) for unit in [True, False]
}
generator = MultiGenerator(weights_by_generator)
instantiator = default_instantiator(data_folder=data_folder, dataversion="extended", leaf_min_value=2, leaf_max_value=20,
inner_min_value=2, inner_max_value=10_000)
ps_template_sampler, ps_answers_template_sampler, ps_renderer, rt_template_sampler, rt_renderer \
= default_templates_and_samplers(data_folder, "extended", WHITESPACE)
mwps = generate_mwps(nr_problems, generator, instantiator, CANONICAL_ORDER_SAMPLER,
ps_template_sampler, ps_answers_template_sampler, ps_renderer,
rt_template_sampler, rt_renderer, seed)
return [{
"problem": mwp.ps_nl,
"reasoning_trace": mwp.rt_nl,
"answer": mwp.numerical_answers[-1],
"answer_nl": mwp.answers_nl,
"depth": mwp.tree.depth,
"width": len(mwp.tree.leaf_nodes)
} for mwp in mwps]
def generate_linear_partwhole(nr_problems: int, min_width: int, max_width: int, seed: int = None, data_folder: str = DATA_FOLDER) -> List[Dict[str, str]]:
"""
Generates a dataset of linear mwps with part-whole inference rules, where the underlying proof tree is of depth 1 and has width between min_width and max_width.
"""
weights_by_generator = {
default_generator(use_attribute=False, use_unit=False,
comp_same_entity_prob=1.0, compeq_same_entity_prob=1.0,
min_part_whole=min_width, max_part_whole=max_width, stopping_criterion=BranchDepthCriterion(1),
start_types=PARTWHOLE_START_TYPE, inference_rules=PARTWHOLE_RULESET): 1.0
}
generator = MultiGenerator(weights_by_generator)
instantiator = default_instantiator(data_folder=data_folder, dataversion="extended", leaf_min_value=2, leaf_max_value=20,
inner_min_value=2, inner_max_value=10_00, prob_pick_standard_ents_as_parts=0.7)
ps_template_sampler, ps_answers_template_sampler, ps_renderer, rt_template_sampler, rt_renderer \
= default_templates_and_samplers(data_folder, "extended", WHITESPACE)
mwps = generate_mwps(nr_problems, generator, instantiator, CANONICAL_ORDER_SAMPLER,
ps_template_sampler, ps_answers_template_sampler, ps_renderer,
rt_template_sampler, rt_renderer, seed)
return [{
"problem": mwp.ps_nl,
"reasoning_trace": mwp.rt_nl,
"answer": mwp.numerical_answers[-1],
"answer_nl": mwp.answers_nl,
"depth": mwp.tree.depth,
"width": len(mwp.tree.leaf_nodes)
} for mwp in mwps]
def generate_nonlinear_comparison(nr_problems: int, min_depth: int, max_depth: int, seed: int = None, data_folder: str = DATA_FOLDER) -> List[Dict[str, str]]:
"""
Generates a dataset of nonlinear mwps with comparison inference rules, where the underlying proof tree is of depth between min_depth and max_depth.
"""
weights_by_generator = {
default_generator(use_attribute=atrr_unit[0], use_unit=atrr_unit[1],
comp_same_entity_prob=1.0, compeq_same_entity_prob=1.0,
stopping_criterion=BranchDepthCriterion(i),
rule_sampling_policy = NONLINEAR_POLICY,
#start_types=NONLINEAR_START_TYPE,
start_types=[Container],
inference_rules=NONLINEAR_RULESET): 1.0
for i in range(min_depth, max_depth+1) for atrr_unit in [[False, False], [True, False], [False, True]]
}
generator = MultiGenerator(weights_by_generator)
instantiator = default_instantiator(data_folder=data_folder, dataversion="long", leaf_min_value=2, leaf_max_value=20,
inner_min_value=2, inner_max_value=10_000, strategy="cpga")
ps_template_sampler, ps_answers_template_sampler, ps_renderer, rt_template_sampler, rt_renderer \
= default_templates_and_samplers(data_folder, "v1", WHITESPACE)
mwps = generate_mwps(nr_problems, generator, instantiator, CANONICAL_ORDER_SAMPLER,
ps_template_sampler, ps_answers_template_sampler, ps_renderer,
rt_template_sampler, rt_renderer, seed)
return [{
"problem": mwp.ps_nl,
"reasoning_trace": mwp.rt_nl,
"answer": mwp.numerical_answers[-1],
"answer_nl": mwp.answers_nl,
"depth": mwp.tree.depth,
"width": len(mwp.tree.leaf_nodes)
} for mwp in mwps]
def generate_moved_linear_comparison(nr_problems: int, depth: int, move_idx: int = 0, seed: int = None, data_folder: str = DATA_FOLDER) -> List[Dict[str, str]]:
"""
Generates a dataset of linear mwps with comparison inference rules,
where the sentences indexed by move_idx has been moved to the front in relation to canonical order
move_idx = 0 defaults to no movement
"""
assert 0 <= move_idx <= depth
# 1. Define the generators for generating the proof-trees
# In our case, we want a mixture of depths, where each depth is equally likely to occur
# (hence all sub-generators have weight 1.0)
weights_by_generator = {
default_generator(use_attribute=atrr_unit[0], use_unit=atrr_unit[1],
comp_same_entity_prob=1.0, compeq_same_entity_prob=1.0,
stopping_criterion=BranchDepthCriterion(depth),
start_types=CONT_START_TYPE, inference_rules=COMP_RULESET): 1.0
for atrr_unit in [[False, False], [True, False], [False, True]]
}
generator = MultiGenerator(weights_by_generator)
# 2. Load the default instantiator but use the agents, entities etc specified in the data-folder of this experiment
# The instantiator will be used to instantiate properties with values (e.g. agent1 -> Alice, quantity1 -> 4)
instantiator = default_instantiator(data_folder=data_folder, dataversion="v1", leaf_min_value=2, leaf_max_value=20,
inner_min_value=2, inner_max_value=10_000)
# 3. Load template renderers and samplers
# They will be used to express logical forms and deduction steps as natural language
ps_template_sampler, ps_answers_template_sampler, ps_renderer, rt_template_sampler, rt_renderer \
= default_templates_and_samplers(data_folder, "v1", WHITESPACE)
# 4. Now, we actually generate the mwps
mwps = generate_mwps(nr_problems, generator, instantiator, FrontMovementOrderSampler(move_idx),
ps_template_sampler, ps_answers_template_sampler, ps_renderer,
rt_template_sampler, rt_renderer, seed)
# 5. extract the required information from the mwps
return [{
"problem": mwp.ps_nl,
"reasoning_trace": mwp.rt_nl,
"answer": mwp.numerical_answers[-1],
"answer_nl": mwp.answers_nl,
"depth": mwp.tree.depth,
"width": len(mwp.tree.leaf_nodes)
} for mwp in mwps]