mirror of
https://github.com/Brandon-Rozek/matmod.git
synced 2024-10-17 21:05:05 -04:00
486 lines
16 KiB
Python
486 lines
16 KiB
Python
"""
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Parses the Magic Ugly Data File Format
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Assumes the base logic is R with no extra connectives
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"""
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import argparse
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import sys
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from typing import TextIO, List, Optional, Tuple, Set, Dict
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from model import Model, ModelValue, ModelFunction
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from logic import (
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Implication,
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Conjunction,
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Negation,
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Necessitation,
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Disjunction
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)
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from vsp import has_vsp
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class SourceFile:
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def __init__(self, fileobj: TextIO):
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self.fileobj = fileobj
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self.current_line = 0
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def __next__(self):
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contents = next(self.fileobj)
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self.current_line += 1
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return contents
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class UglyHeader:
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def __init__(self, negation: bool, necessitation: bool):
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self.negation = negation
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self.necessitation = necessitation
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class ModelBuilder:
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def __init__(self):
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self.size : int = 0
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self.carrier_set : Set[ModelValue] = set()
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self.num_negation: int = 0
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self.mnegation: Optional[ModelFunction] = None
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self.num_order: int = 0
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self.mconjunction: Optional[ModelFunction] = None
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self.mdisjunction: Optional[ModelFunction] = None
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self.num_designated: int = 0
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self.designated_values: Set[ModelValue] = set()
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self.num_implication: int = 0
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self.mimplication: Optional[ModelFunction] = None
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self.num_necessitation: int = 0
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self.mnecessitation: Optional[ModelFunction] = None
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def parse_matrices(infile: SourceFile) -> List[Tuple[Model, Dict]]:
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solutions = [] # Reset
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header = parse_header(infile)
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current_model_parts = ModelBuilder()
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process_sizes(infile, header, current_model_parts, solutions)
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return solutions
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def process_sizes(infile: SourceFile, header: UglyHeader, current_model_parts: ModelBuilder, solutions: List[Tuple[Model, Dict]]):
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"""Stage 1"""
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# NOTE: In R3-PN the first size line is -1?
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if header.necessitation:
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next(infile)
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while True:
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print("Processing next size")
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try:
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size = parse_size(infile)
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except StopIteration:
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# For some reason, when necessitation is enabled this doesn't
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# have a -1 on the last line
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break
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if size is None:
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break
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carrier_set = carrier_set_from_size(size)
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current_model_parts.size = size
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current_model_parts.carrier_set = carrier_set
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process_negations(infile, header, current_model_parts, solutions)
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def process_negations(infile: SourceFile, header: UglyHeader, current_model_parts: ModelBuilder, solutions: List[Tuple[Model, Dict]]):
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"""Stage 2 (Optional)"""
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num_negation = 0
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while True:
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print("Processing next negation")
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mnegation = None
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if header.negation:
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mnegation = parse_single_negation(infile, current_model_parts.size)
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if mnegation is None:
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break
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num_negation += 1
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current_model_parts.num_negation = num_negation
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current_model_parts.mnegation = mnegation
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process_orders(infile, header, current_model_parts, solutions)
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if not header.negation:
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break
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def process_orders(infile: SourceFile, header: UglyHeader, current_model_parts: ModelBuilder, solutions: List[Tuple[Model, Dict]]):
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"""Stage 3"""
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num_order = 0
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while True:
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print("Processing next order")
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result = parse_single_order(infile, current_model_parts.size)
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if result is None:
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break
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num_order += 1
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mconjunction, mdisjunction = result
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current_model_parts.num_order = num_order
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current_model_parts.mconjunction = mconjunction
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current_model_parts.mdisjunction = mdisjunction
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process_designateds(infile, header, current_model_parts, solutions)
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def process_designateds(infile: SourceFile, header: UglyHeader, current_model_parts: ModelBuilder, solutions: List[Tuple[Model, Dict]]):
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"""Stage 4"""
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num_designated = 0
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while True:
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print("Processing next designated")
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designated_values = parse_single_designated(infile, current_model_parts.size)
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if designated_values is None:
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break
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num_designated += 1
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current_model_parts.num_designated = num_designated
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current_model_parts.designated_values = designated_values
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process_implications(infile, header, current_model_parts, solutions)
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def process_implications(
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infile: SourceFile, header: UglyHeader, current_model_parts: ModelBuilder, solutions: List[Tuple[Model, Dict]]):
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"""Stage 5"""
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if header.necessitation:
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num_implication = 0
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while True:
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print("Processing next implication")
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instr = next(infile).strip()
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mimplication, reststr = parse_single_implication(instr, infile.current_line, current_model_parts.size)
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if mimplication is None:
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break
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num_implication += 1
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current_model_parts.num_implication = num_implication
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current_model_parts.mimplication = mimplication
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process_necessitations(infile, reststr, header, current_model_parts, solutions)
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else:
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results = parse_implications(infile, current_model_parts.size)
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for num_implication, mimplication in enumerate(results, 1):
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current_model_parts.num_implication = num_implication
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current_model_parts.mimplication = mimplication
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process_model(current_model_parts, solutions)
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def process_necessitations(infile: SourceFile, instr: str, header: UglyHeader, current_model_parts: ModelBuilder, solutions: List[Tuple[Model, Dict]]):
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# NOTE: For some reason, one necessitation table will be on the same line as the implication table
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mnecessitation = parse_single_necessitation_from_str(instr, infile.current_line, current_model_parts.size)
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assert mnecessitation is not None, f"Expected Necessitation Table at line {infile.current_line}"
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num_necessitation = 1
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current_model_parts.num_necessitation = num_necessitation
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current_model_parts.mnecessitation = mnecessitation
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process_model(current_model_parts, solutions)
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while True:
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print("Processing next necessitation")
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mnecessitation = parse_single_necessitation(infile, current_model_parts.size)
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if mnecessitation is None:
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break
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num_necessitation += 1
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current_model_parts.num_necessitation = num_necessitation
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current_model_parts.mnecessitation = mnecessitation
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process_model(current_model_parts, solutions)
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def process_model(mp: ModelBuilder, solutions: List[Tuple[Model, Dict]]):
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"""Create Model"""
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assert mp.mimplication is not None
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assert len(mp.carrier_set) > 0
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logical_operations = { mp.mimplication }
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model_name = f"{mp.size}{'.' + str(mp.num_negation) if mp.num_negation != 0 else ''}.{mp.num_order}.{mp.num_designated}.{mp.num_implication}{'.' + str(mp.num_necessitation) if mp.num_necessitation != 0 else ''}"
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model = Model(mp.carrier_set, logical_operations, mp.designated_values, name=model_name)
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interpretation = {
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Implication: mp.mimplication
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}
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if mp.mnegation is not None:
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logical_operations.add(mp.mnegation)
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interpretation[Negation] = mp.mnegation
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if mp.mconjunction is not None:
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logical_operations.add(mp.mconjunction)
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interpretation[Conjunction] = mp.mconjunction
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if mp.mdisjunction is not None:
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logical_operations.add(mp.mdisjunction)
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interpretation[Disjunction] = mp.mdisjunction
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if mp.mnecessitation is not None:
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logical_operations.add(mp.mnecessitation)
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interpretation[Necessitation] = mp.mnecessitation
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solutions.append((model, interpretation))
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print(f"Parsed Matrix {model.name}")
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def parse_header(infile: SourceFile) -> UglyHeader:
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"""
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Parse the header line from the ugly data format.
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NOTE: Currently Incomplete.
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"""
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header_line = next(infile).strip()
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header_tokens = header_line.split(" ")
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assert header_tokens[0] in ["0", "1"]
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assert header_tokens[6] in ["0", "1"]
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negation_defined = bool(int(header_tokens[0]))
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necessitation_defined = bool(int(header_tokens[6]))
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return UglyHeader(negation_defined, necessitation_defined)
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def carrier_set_from_size(size: int):
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"""
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Construct a carrier set of model values
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based on the desired size.
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"""
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return {
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mvalue_from_index(i) for i in range(size + 1)
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}
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def parse_size(infile: SourceFile) -> Optional[int]:
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"""
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Parse the line representing the matrix size.
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"""
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size = int(next(infile))
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if size == -1:
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return None
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assert size > 0, f"Unexpected size at line {infile.current_line}"
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return size
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def parse_single_negation(infile: SourceFile, size: int) -> Optional[ModelFunction]:
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"""
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Parse the line representing the negation table.
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"""
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line = next(infile).strip()
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if line == '-1':
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return None
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row = line.split(" ")
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assert len(row) == size + 1, f"Negation table doesn't match size at line {infile.current_line}"
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mapping = {}
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for i, j in zip(range(size + 1), row):
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x = mvalue_from_index(i)
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y = parse_mvalue(j)
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mapping[(x, )] = y
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return ModelFunction(1, mapping, "¬")
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def mvalue_from_index(i: int):
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"""
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Given an index, return the
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representation of the model value.
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"""
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return ModelValue(f"a{i}")
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def parse_mvalue(x: str) -> ModelValue:
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"""
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Parse an element and return the model value.
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"""
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return mvalue_from_index(int(x))
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def determine_cresult(size: int, ordering: Dict[ModelValue, ModelValue], a: ModelValue, b: ModelValue) -> ModelValue:
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"""
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Determine what a ∧ b should be given the ordering table.
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"""
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for i in range(size + 1):
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c = mvalue_from_index(i)
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if not ordering[(c, a)]:
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continue
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if not ordering[(c, b)]:
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continue
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invalid = False
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for j in range(size + 1):
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d = mvalue_from_index(j)
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if c == d:
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continue
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if ordering[(c, d)]:
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if ordering[(d, a)] and ordering [(d, b)]:
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invalid = True
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if not invalid:
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return c
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def determine_dresult(size: int, ordering: Dict[ModelValue, ModelValue], a: ModelValue, b: ModelValue) -> ModelValue:
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"""
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Determine what a ∨ b should be given the ordering table.
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"""
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for i in range(size + 1):
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c = mvalue_from_index(i)
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if not ordering[(a, c)]:
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continue
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if not ordering[(b, c)]:
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continue
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invalid = False
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for j in range(size + 1):
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d = mvalue_from_index(j)
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if d == c:
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continue
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if ordering[(d, c)]:
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if ordering[(a, d)] and ordering[(b, d)]:
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invalid = True
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if not invalid:
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return c
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def parse_single_order(infile: SourceFile, size: int) -> Optional[Tuple[ModelFunction, ModelFunction]]:
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"""
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Parse the line representing the ordering table
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"""
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line = next(infile).strip()
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if line == '-1':
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return None
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table = line.split(" ")
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assert len(table) == (size + 1)**2, f"Order table doesn't match expected size at line {infile.current_line}"
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omapping = {}
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table_i = 0
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for i in range(size + 1):
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x = mvalue_from_index(i)
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for j in range(size + 1):
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y = mvalue_from_index(j)
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omapping[(x, y)] = table[table_i] == '1'
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table_i += 1
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cmapping = {}
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dmapping = {}
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for i in range(size + 1):
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x = mvalue_from_index(i)
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for j in range(size + 1):
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y = mvalue_from_index(j)
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cresult = determine_cresult(size, omapping, x, y)
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if cresult is None:
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print("[Warning] Conjunction and Disjunction are not well-defined")
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print(f"{x} ∧ {y} = ??")
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return None, None
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cmapping[(x, y)] = cresult
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dresult = determine_dresult(size, omapping, x, y)
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if dresult is None:
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print("[Warning] Conjunction and Disjunction are not well-defined")
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print(f"{x} ∨ {y} = ??")
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return None, None
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dmapping[(x, y)] = dresult
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mconjunction = ModelFunction(2, cmapping, "∧")
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mdisjunction = ModelFunction(2, dmapping, "∨")
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return mconjunction, mdisjunction
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def parse_single_designated(infile: SourceFile, size: int) -> Optional[Set[ModelValue]]:
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"""
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Parse the line representing which model values are designated.
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"""
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line = next(infile).strip()
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if line == '-1':
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return None
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row = line.split(" ")
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assert len(row) == size + 1, f"Designated table doesn't match expected size at line {infile.current_line}"
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designated_values = set()
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for i, j in zip(range(size + 1), row):
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if j == '1':
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x = mvalue_from_index(i)
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designated_values.add(x)
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return designated_values
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def parse_single_implication(instr: str, line: int, size: int) -> Tuple[ModelFunction, str]:
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"""
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Take the current string, parse an implication table from it,
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and return along with it the remainder of the string
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"""
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if instr == "-1":
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return None, ""
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table = instr.split(" ")
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assert len(table) >= (size + 1)**2, f"Implication table does not match expected size at line {line}"
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mapping = {}
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table_i = 0
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for i in range(size + 1):
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x = mvalue_from_index(i)
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for j in range(size + 1):
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y = mvalue_from_index(j)
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r = parse_mvalue(table[table_i])
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table_i += 1
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mapping[(x, y)] = r
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mimplication = ModelFunction(2, mapping, "→")
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reststr = " ".join(table[(size + 1)**2:])
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return mimplication, reststr
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def parse_implications(infile: SourceFile, size: int) -> List[ModelFunction]:
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"""
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Parse the line representing the list of implication
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tables.
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"""
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line = next(infile).strip()
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# Split and remove the last '-1' character
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table = line.split(" ")[:-1]
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assert len(table) % (size + 1)**2 == 0, f"Implication table does not match expected size at line {infile.current_line}"
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table_i = 0
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mimplications: List[ModelFunction] = []
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for _ in range(len(table) // (size + 1)**2):
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mapping = {}
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for i in range(size + 1):
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x = mvalue_from_index(i)
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for j in range(size + 1):
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y = mvalue_from_index(j)
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r = parse_mvalue(table[table_i])
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table_i += 1
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mapping[(x, y)] = r
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mimplication = ModelFunction(2, mapping, "→")
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mimplications.append(mimplication)
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return mimplications
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def parse_single_necessitation_from_str(instr: str, line: int, size: int) -> Optional[ModelFunction]:
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"""
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Parse the line representing the necessitation table.
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"""
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if instr == "-1":
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return None
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row = instr.split(" ")
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assert len(row) == size + 1, f"Necessitation table doesn't match size at line {line}"
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mapping = {}
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for i, j in zip(range(size + 1), row):
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x = mvalue_from_index(i)
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y = parse_mvalue(j)
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mapping[(x, )] = y
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return ModelFunction(1, mapping, "!")
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def parse_single_necessitation(infile: SourceFile, size: int) -> Optional[ModelFunction]:
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line = next(infile).strip()
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return parse_single_necessitation_from_str(line, infile.current_line, size)
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if __name__ == "__main__":
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parser = argparse.ArgumentParser(description="VSP Checker")
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parser.add_argument("--verbose", action='store_true', help="Print out all parsed matrices")
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args = vars(parser.parse_args())
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solutions = parse_matrices(SourceFile(sys.stdin))
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print(f"Parsed {len(solutions)} matrices")
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num_has_vsp = 0
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for i, (model, interpretation) in enumerate(solutions):
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vsp_result = has_vsp(model, interpretation)
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print(vsp_result)
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if args['verbose'] or vsp_result.has_vsp:
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print(model)
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if vsp_result.has_vsp:
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num_has_vsp += 1
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print(f"Tested {len(solutions)} models, {num_has_vsp} of which satisfy VSP")
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