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Update app.py
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app.py
CHANGED
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@@ -1,340 +1,3 @@
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import gradio as gr
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import numpy as np
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import re
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import math
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import pandas as pd
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from typing import List, Dict, Any, Tuple
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EPS = 1e-9
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BIG_M = 1e6
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# ---------------- Parsing utilities ----------------
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def parse_coeffs(text: str) -> List[float]:
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if not text or not text.strip():
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return []
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s = text.replace(',', ' ')
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parts = [p for p in s.split() if p.strip()]
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coeffs = []
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for p in parts:
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try:
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coeffs.append(float(eval(p)))
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except Exception:
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raise ValueError(f"Coeficiente inválido: '{p}'")
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return coeffs
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def parse_constraints(text: str, nvars: int) -> List[Dict[str,Any]]:
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lines = [ln.strip() for ln in text.strip().splitlines() if ln.strip()]
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cons = []
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pattern = r'([+-]?[0-9./]*)x([0-9]+)'
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for ln in lines:
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s = ln.replace(' ', '')
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if '<=' in s or '=< ' in s:
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s = s.replace('=<', '<=')
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left, right = s.split('<=')
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sense = '<='
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elif '>=' in s or '=>' in s:
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s = s.replace('=>', '>=')
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left, right = s.split('>=')
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sense = '>='
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elif '=' in s:
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left, right = s.split('=')
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sense = '='
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else:
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raise ValueError(f"Restrição inválida, faltando <=, >= ou = : '{ln}'")
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try:
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rhs = float(eval(right))
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except Exception:
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raise ValueError(f"RHS inválido na restrição: '{right}' na linha '{ln}'")
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terms = re.findall(pattern, left)
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coeffs = [0.0] * nvars
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for coef_str, var_str in terms:
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idx = int(var_str) - 1
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if idx < 0 or idx >= nvars:
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raise ValueError(f"Variável fora do intervalo: x{idx+1} na linha '{ln}'")
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if coef_str in ['', '+']:
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v = 1.0
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elif coef_str == '-':
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v = -1.0
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else:
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try:
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v = float(eval(coef_str))
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except Exception:
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raise ValueError(f"Coeficiente inválido: '{coef_str}' na linha '{ln}'")
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coeffs[idx] += v
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cons.append({'coeffs': coeffs, 'sense': sense, 'rhs': rhs})
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return cons
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# ---------------- Tableau builder (Big-M) ----------------
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def build_tableau_bigM(c: List[float], constraints: List[Dict[str,Any]], sense: str = 'max') -> Tuple[np.ndarray, List[int], Tuple[int,int,int]]:
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obj_mult = 1.0
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if sense == 'min':
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obj_mult = -1.0
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c_adj = [ci * obj_mult for ci in c]
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n = len(c_adj)
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m = len(constraints)
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slacks = 0
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artificials = 0
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for row in constraints:
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if row['sense'] == '<=':
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slacks += 1
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elif row['sense'] == '>=':
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slacks += 1
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artificials += 1
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else:
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artificials += 1
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total_cols = n + slacks + artificials + 1
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T = np.zeros((m + 1, total_cols))
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slack_idx = n
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artificial_idx = n + slacks
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basis = []
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art_positions = []
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s_counter = 0
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a_counter = 0
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for i, row in enumerate(constraints):
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coeffs = row['coeffs']
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T[i, :n] = coeffs
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if row['sense'] == '<=':
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T[i, slack_idx + s_counter] = 1.0
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basis.append(slack_idx + s_counter)
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s_counter += 1
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elif row['sense'] == '>=':
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T[i, slack_idx + s_counter] = -1.0
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T[i, artificial_idx + a_counter] = 1.0
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basis.append(artificial_idx + a_counter)
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art_positions.append(artificial_idx + a_counter)
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s_counter += 1
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a_counter += 1
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else: # equality
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T[i, artificial_idx + a_counter] = 1.0
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basis.append(artificial_idx + a_counter)
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art_positions.append(artificial_idx + a_counter)
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a_counter += 1
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T[i, -1] = row['rhs']
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T[-1, :n] = -np.array(c_adj)
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for a_pos in art_positions:
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T[-1, a_pos] = T[-1, a_pos] - BIG_M
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return T, basis, (n, slacks, artificials)
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# ---------------- Simplex tableau operations ----------------
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def snapshot_html(tableau: np.ndarray, basis: List[int]) -> str:
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cols = tableau.shape[1]
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html = '<table border="1" style="border-collapse:collapse;font-family:Arial; font-size:12px;">'
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for i in range(tableau.shape[0]):
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html += '<tr>'
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for j in range(cols):
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val = tableau[i, j]
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html += f'<td style="padding:4px;">{val:.6g}</td>'
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html += '</tr>'
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html += '</table>'
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return html
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def primal_simplex_tableau(T: np.ndarray, basis: List[int], max_iters=500) -> Tuple[np.ndarray, List[int], List[Dict[str,Any]]]:
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m = T.shape[0] - 1
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path = []
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path.append({'tableau': T.copy(), 'basis': basis.copy(), 'html': snapshot_html(T, basis)})
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it = 0
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while it < max_iters:
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it += 1
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obj_row = T[-1, :-1]
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entering_candidates = np.where(obj_row < -EPS)[0]
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if entering_candidates.size == 0:
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break
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entering = int(entering_candidates[0])
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ratios = np.full(m, np.inf)
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for i in range(m):
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a = T[i, entering]
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if a > EPS:
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ratios[i] = T[i, -1] / a
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if np.all(np.isinf(ratios)):
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raise ValueError('Unbounded LP')
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leaving = int(np.argmin(ratios))
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piv = T[leaving, entering]
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T[leaving, :] = T[leaving, :] / piv
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for i in range(m+1):
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if i == leaving: continue
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T[i, :] = T[i, :] - T[i, entering] * T[leaving, :]
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basis[leaving] = entering
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path.append({'tableau': T.copy(), 'basis': basis.copy(), 'html': snapshot_html(T, basis)})
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return T, basis, path
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def dual_simplex_tableau(T: np.ndarray, basis: List[int], max_iters=500) -> Tuple[np.ndarray, List[int], List[Dict[str,Any]]]:
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m = T.shape[0] - 1
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ncols = T.shape[1]
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path = []
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path.append({'tableau': T.copy(), 'basis': basis.copy(), 'html': snapshot_html(T, basis)})
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it = 0
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while it < max_iters:
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it += 1
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rhs = T[:-1, -1]
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leaving_candidates = np.where(rhs < -EPS)[0]
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if leaving_candidates.size == 0:
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break
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leaving = int(leaving_candidates[0])
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entering = -1
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best = math.inf
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for j in range(ncols-1):
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a = T[leaving, j]
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cj = T[-1, j]
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if a < -EPS:
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val = cj / a
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if val < best:
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best = val
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entering = j
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if entering == -1:
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raise ValueError('Dual infeasible')
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piv = T[leaving, entering]
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T[leaving, :] = T[leaving, :] / piv
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for i in range(m+1):
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if i == leaving: continue
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T[i, :] = T[i, :] - T[i, entering] * T[leaving, :]
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basis[leaving] = entering
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path.append({'tableau': T.copy(), 'basis': basis.copy(), 'html': snapshot_html(T, basis)})
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return T, basis, path
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# ---------------- Extraction & reporting ----------------
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def extract_solution_from_bigM_tableau(T: np.ndarray, basis: List[int], n_orig: int) -> Tuple[List[float], float]:
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m = T.shape[0] - 1
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x = [0.0] * n_orig
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for i, bi in enumerate(basis):
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if bi < n_orig:
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x[bi] = float(T[i, -1])
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z = float(T[-1, -1])
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return x, z
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def clean_vector(vec):
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try:
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return [float(v) for v in vec]
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except:
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return vec
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# ---------------- Gradio handler ----------------
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def run_algorithms(nvars_str, objective_str, cons_str, sense, mode):
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try:
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nvars = int(nvars_str)
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if nvars <= 0:
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return 'Erro: nvars deve ser inteiro positivo', '', '', '', ''
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c = parse_coeffs(objective_str)
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if len(c) != nvars:
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return 'Erro: coeficientes do objetivo não correspondem a nvars', '', '', '', ''
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constraints = parse_constraints(cons_str, nvars)
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except Exception as e:
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return f'Erro ao ler entrada: {e}', '', '', '', ''
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try:
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T0, basis0, (n_orig, n_slack, n_art) = build_tableau_bigM(c, constraints, sense)
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except Exception as e:
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return f'Erro ao construir tableau: {e}', '', '', '', ''
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# run primal simplex
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try:
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T_primal, basis_primal, path_primal = primal_simplex_tableau(T0.copy(), basis0.copy())
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except Exception as e:
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return f'Erro durante Simplex primal: {e}', '', '', '', ''
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# run dual simplex starting from same initial tableau (demonstration)
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try:
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T_dual, basis_dual, path_dual = dual_simplex_tableau(T0.copy(), basis0.copy())
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except Exception as e:
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# dual pode falhar, mas não quebra a app — colocamos mensagem
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T_dual, basis_dual, path_dual = None, None, []
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dual_error = str(e)
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x_primal, z_primal = extract_solution_from_bigM_tableau(T_primal, basis_primal, n_orig)
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# final HTML steps (primal)
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steps_html_primal = ''
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for idx, step in enumerate(path_primal):
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steps_html_primal += f"<h4>Primal — Passo {idx+1} — Base: {step['basis']}</h4>"
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steps_html_primal += step['html'] + '<br/>'
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# final HTML steps (dual)
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steps_html_dual = ''
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if path_dual:
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for idx, step in enumerate(path_dual):
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steps_html_dual += f"<h4>Dual — Passo {idx+1} — Base: {step['basis']}</h4>"
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steps_html_dual += step['html'] + '<br/>'
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else:
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steps_html_dual = f"<p>Dual não executado: {locals().get('dual_error','(sem erro especificado)')}</p>"
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# solution table (primal)
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df = pd.DataFrame({'Variável': [f'x{i+1}' for i in range(len(x_primal))], 'Valor': x_primal})
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solution_html = df.to_html(index=False)
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solution_html += f"<p><b>Valor ótimo (estimado) = {z_primal:.6g}</b></p>"
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# reduced costs and shadow prices
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reduced = []
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for j in range(n_orig):
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z_j = -T_primal[-1, j]
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reduced.append(round(c[j] - z_j, 8))
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shadow = []
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for i in range(len(constraints)):
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idx = n_orig + i
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if idx < T_primal.shape[1]-1:
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shadow.append(round(-T_primal[-1, idx], 8))
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else:
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shadow.append(0.0)
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# clean numeric types
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x_primal = clean_vector(x_primal)
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reduced = clean_vector(reduced)
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shadow = clean_vector(shadow)
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z_primal = float(z_primal)
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model_txt = f"Objective ({'min' if sense=='min' else 'max'}): {c} \n Constraints: \n"
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for r in constraints:
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model_txt += f" {r['coeffs']} {r['sense']} {r['rhs']} \n"
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summary = ''
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summary += f"Solução primal x* = {x_primal} \n"
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summary += f"Z_primal (estimado) = {z_primal:.6g} \n"
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summary += f"Preços-sombra (dual estimado) = {shadow} \n"
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summary += f"Custos reduzidos (orig vars) = {reduced} \n"
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# outputs: model, solution_html, steps_primal_html, steps_dual_html, summary
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return model_txt, solution_html, steps_html_primal, steps_html_dual, summary
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# ---------------- Gradio UI ----------------
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with gr.Blocks() as demo:
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gr.Markdown("# Simplex (Big-M) — Primal & Dual (educational)")
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with gr.Row():
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with gr.Column(scale=1):
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nvars = gr.Textbox(label='Número de variáveis (n)', value='2')
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objective = gr.Textbox(label='Coeficientes da função objetivo (ex: \"60 30\" ou \"60,30\")', value='60 30')
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cons = gr.Textbox(label='Restrições (uma por linha). Ex.: 2x1+3x2<=300', lines=6,
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value='6x1 + 8x2 <= 48 \n1x1 <= 5 \n1x2 <= 4')
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sense = gr.Radio(['max','min'], value='max', label='Tipo de objetivo')
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run = gr.Button('Executar Simplex (Big-M)')
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with gr.Column(scale=2):
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model_out = gr.Textbox(label='Função objetivo e restrições (modelo)', lines=6)
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solution_out = gr.HTML(label='Solução ótima (tabela)')
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steps_primal_out = gr.HTML(label='Passos do Simplex (primal tableaus)')
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steps_dual_out = gr.HTML(label='Passos do Simplex (dual tableaus)')
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summary_out = gr.Textbox(label='Resumo', lines=8)
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run.click(run_algorithms, inputs=[nvars, objective, cons, sense, gr.State(value='primal_and_dual')], outputs=[model_out, solution_out, steps_primal_out, steps_dual_out, summary_out])
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gr.Examples(examples=[["2","60 30","6x1 + 8x2 <= 48 \n 1x1 <= 5 \n 1x2 <= 4","max"]], inputs=[nvars, objective, cons, sense])
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if __name__ == '__main__':
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demo.launch()
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"""
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# app.py — Simplex Duas Fases + Simplex Dual + PDF + Gradio (corrigido)
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@@ -1033,7 +696,7 @@ if __name__ == '__main__':
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from typing import List, Tuple, Dict, Any
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import math
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import re
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@@ -1248,6 +911,6 @@ with gr.Blocks() as demo:
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| 1248 |
inputs=[nvars, objective, cons, sense],
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| 1249 |
outputs=[model_out, primal_out, dual_out])
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| 1250 |
if __name__ == "__main__":
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| 1251 |
-
demo.launch()
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| 1 |
|
| 2 |
"""
|
| 3 |
# app.py — Simplex Duas Fases + Simplex Dual + PDF + Gradio (corrigido)
|
|
|
|
| 696 |
|
| 697 |
|
| 698 |
|
| 699 |
+
import gradio as gr
|
| 700 |
from typing import List, Tuple, Dict, Any
|
| 701 |
import math
|
| 702 |
import re
|
|
|
|
| 911 |
inputs=[nvars, objective, cons, sense],
|
| 912 |
outputs=[model_out, primal_out, dual_out])
|
| 913 |
if __name__ == "__main__":
|
| 914 |
+
demo.launch()
|
| 915 |
|
| 916 |
|