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import gradio as gr
import matplotlib.pyplot as plt
from matplotlib_venn import venn3, venn3_circles
from io import BytesIO
from PIL import Image
def validate_inputs(A, B, C, AB, AC, BC, ABC, U):
errors = []
if A < AB + AC - ABC:
errors.append("A no puede ser menor que la suma de AB y AC menos ABC.")
if B < AB + BC - ABC:
errors.append("B no puede ser menor que la suma de AB y BC menos ABC.")
if C < AC + BC - ABC:
errors.append("C no puede ser menor que la suma de AC y BC menos ABC.")
if U < A + B + C - AB - AC - BC + ABC:
errors.append("El conjunto universal U es menor que la suma total de los conjuntos y sus intersecciones.")
return errors
def calculate_probabilities(A, B, C, AB, AC, BC, ABC, U):
total = U
P_A = A / total
P_B = B / total
P_C = C / total
P_AB = AB / total
P_AC = AC / total
P_BC = BC / total
P_ABC = ABC / total
P_A_given_B = P_AB / P_B if P_B > 0 else 0
P_B_given_A = P_AB / P_A if P_A > 0 else 0
P_A_given_C = P_AC / P_C if P_C > 0 else 0
P_C_given_A = P_AC / P_A if P_A > 0 else 0
P_B_given_C = P_BC / P_C if P_C > 0 else 0
P_C_given_B = P_BC / P_B if P_B > 0 else 0
P_B_given_A_bayes = (P_A_given_B * P_B) / P_A if P_A > 0 else 0
formatted_probs = {
"P(A)": f"{P_A:.2%} ({A}/{total})",
"P(B)": f"{P_B:.2%} ({B}/{total})",
"P(C)": f"{P_C:.2%} ({C}/{total})",
"P(A ∩ B)": f"{P_AB:.2%} ({AB}/{total})",
"P(A ∩ C)": f"{P_AC:.2%} ({AC}/{total})",
"P(B ∩ C)": f"{P_BC:.2%} ({BC}/{total})",
"P(A ∩ B ∩ C)": f"{P_ABC:.2%} ({ABC}/{total})",
"P(A | B)": f"{P_A_given_B:.2%}",
"P(B | A)": f"{P_B_given_A:.2%}",
"P(A | C)": f"{P_A_given_C:.2%}",
"P(C | A)": f"{P_C_given_A:.2%}",
"P(B | C)": f"{P_B_given_C:.2%}",
"P(C | B)": f"{P_C_given_B:.2%}",
"P(B | A) (Bayes)": f"{P_B_given_A_bayes:.2%}",
}
return formatted_probs
def plot_venn(A, B, C, AB, AC, BC, ABC, U):
plt.figure(figsize=(10, 10))
subsets = {
'100': A - AB - AC + ABC,
'010': B - AB - BC + ABC,
'001': C - AC - BC + ABC,
'110': AB - ABC,
'101': AC - ABC,
'011': BC - ABC,
'111': ABC
}
venn = venn3(subsets=subsets, set_labels=('A', 'B', 'C'))
venn_circles = venn3_circles(subsets=subsets, linewidth=1.0)
plt.title(f"Diagrama de Venn con U = {U}")
buf = BytesIO()
plt.savefig(buf, format='png')
buf.seek(0)
img = Image.open(buf)
return img
def suggest_intersections(A, B, C, AB, AC, BC, ABC, U):
max_AB = min(A, B, U - (A + B + C - AB - AC - BC + ABC))
max_AC = min(A, C, U - (A + B + C - AB - AC - BC + ABC))
max_BC = min(B, C, U - (A + B + C - AB - AC - BC + ABC))
max_ABC = min(max_AB, max_AC, max_BC)
min_AB = max(0, A + B - U + C)
min_AC = max(0, A + C - U + B)
min_BC = max(0, B + C - U + A)
min_ABC = max(0, A + B + C - U)
max_A = U - (B + C - BC)
max_B = U - (A + C - AC)
max_C = U - (A + B - AB)
min_A = max(AB + AC - ABC, 0)
min_B = max(AB + BC - ABC, 0)
min_C = max(AC + BC - ABC, 0)
suggestions = {
"Máximo valor sugerido para A": max_A,
"Mínimo valor sugerido para A": min_A,
"Máximo valor sugerido para B": max_B,
"Mínimo valor sugerido para B": min_B,
"Máximo valor sugerido para C": max_C,
"Mínimo valor sugerido para C": min_C,
"Máximo valor sugerido para A ∩ B": max_AB,
"Mínimo valor sugerido para A ∩ B": min_AB,
"Máximo valor sugerido para A ∩ C": max_AC,
"Mínimo valor sugerido para A ∩ C": min_AC,
"Máximo valor sugerido para B ∩ C": max_BC,
"Mínimo valor sugerido para B ∩ C": min_BC,
"Máximo valor sugerido para A ∩ B ∩ C": max_ABC,
"Mínimo valor sugerido para A ∩ B ∩ C": min_ABC,
}
return suggestions
def main(A, B, C, AB, AC, BC, ABC, U):
errors = validate_inputs(A, B, C, AB, AC, BC, ABC, U)
if errors:
return None, {"error": "\n".join(errors), "sugerencias": suggest_intersections(A, B, C, AB, AC, BC, ABC, U)}
venn_diagram = plot_venn(A, B, C, AB, AC, BC, ABC, U)
probabilities = calculate_probabilities(A, B, C, AB, AC, BC, ABC, U)
return venn_diagram, {"probabilidades": probabilities, "sugerencias": suggest_intersections(A, B, C, AB, AC, BC, ABC, U)}
iface = gr.Interface(
fn=main,
inputs=[
gr.Number(label="Conjunto Universal (U)", value=0),
gr.Number(label="Cantidad en A"),
gr.Number(label="Cantidad en B"),
gr.Number(label="Cantidad en C"),
gr.Number(label="Cantidad en A ∩ B"),
gr.Number(label="Cantidad en A ∩ C"),
gr.Number(label="Cantidad en B ∩ C"),
gr.Number(label="Cantidad en A ∩ B ∩ C")
],
outputs=[
gr.Image(type="pil", label="Diagrama de Venn"),
gr.JSON(label="Resultados y Sugerencias")
],
live=True
)
iface.launch()
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