2022-06-14 01:35:10 +02:00
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#!/usr/bin/env python3
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# -*- coding: utf-8 -*-
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# IMPORTS
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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2022-06-14 09:03:29 +02:00
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from src.thirdparty.code import *;
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2022-06-14 01:35:10 +02:00
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from src.thirdparty.maths import *;
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2022-06-14 09:03:29 +02:00
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from src.thirdparty.types import *;
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2022-06-14 01:35:10 +02:00
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2022-06-14 09:03:29 +02:00
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from src.core.utils import *;
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2022-06-14 01:35:10 +02:00
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from src.models.stacks import *;
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# EXPORTS
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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__all__ = [
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2022-06-14 09:03:29 +02:00
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'display_order',
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2022-06-14 01:53:48 +02:00
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'display_sum',
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2022-06-14 01:35:10 +02:00
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'display_branch_and_bound',
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];
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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2022-06-14 09:03:29 +02:00
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# METHOD display order
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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def display_order(
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order: List[int],
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weights: np.ndarray,
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values: np.ndarray,
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items: np.ndarray,
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one_based: bool = False,
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) -> str:
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index = range(len(order));
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uorder = iperm(order);
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table = pd.DataFrame({
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'items': items,
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'index': index,
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'values': values,
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'weights': weights,
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'u': (values/weights),
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}, index=index) \
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.reindex(uorder);
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if one_based:
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table['index'] += 1;
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# benutze pandas-Dataframe + tabulate, um schöner darzustellen:
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repr = tabulate(
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pd.DataFrame(table),
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headers=['item', 'greedy order', 'value', 'weight', 'value/weight'],
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showindex=False,
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colalign=('left', 'center', 'center', 'center', 'right'),
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tablefmt='rst'
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);
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return repr;
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# METHOD display sum
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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def display_sum(
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vector: Union[List[int], List[float]],
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values: np.ndarray,
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) -> str:
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value = sum([ u*x for u, x in zip(vector,values)]);
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expr = '+'.join([
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f'{x:g}' if u == 1 else f'{Fraction(str(u))}·{x:g}'
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for u, x in zip(vector,values) if u > 0
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]);
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return f'{value:g} (={expr})';
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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# METHOD display result of branch and bound
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# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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def display_branch_and_bound(
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values: np.ndarray,
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steps: List[Tuple[float, float, Stack]]
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) -> str:
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# füge Summen-Ausdrücke für Greedy-Alg hinzu:
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rows = [];
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used_vectors = [];
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for lb_estimate, lb, u, S in steps:
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if u in used_vectors:
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rows.append((f'{lb_estimate:g}', f'{lb:g}', S));
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else:
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used_vectors.append(u)
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rows.append((f'{lb_estimate:g}', display_sum(vector=u, values=values), S));
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table = pd.DataFrame(rows) \
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.rename(columns={0: 'b', 1: 'g(TOP(S))', 2: 'S'}) \
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.reset_index(drop=True);
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# benutze pandas-Dataframe + tabulate, um schöner darzustellen:
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repr = tabulate(
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pd.DataFrame(table),
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headers=['b', 'g(TOP(S))', 'S'],
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showindex=False,
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colalign=('left', 'left', 'right'),
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tablefmt='rst'
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);
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return repr;
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