app.py

import gradio as gr
import matplotlib.pyplot as plt
from matplotlib_venn import venn3
from io import BytesIO
from PIL import Image

def validate_inputs(A, B, C, AB, AC, BC, ABC, U):
    total_needed = A + B + C - AB - AC - BC + ABC
    errors = []
    if total_needed > U:
        errors.append("El conjunto universal U debe ser mayor o igual a la suma de los subconjuntos 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

    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})"
    }
    
    return formatted_probs

def plot_venn(A, B, C, AB, AC, BC, ABC):
    plt.figure(figsize=(8, 8))
    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'))
    plt.title(f"Diagrama de Venn")

    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):
    max_AB = min(A, B)
    max_AC = min(A, C)
    max_BC = min(B, C)
    max_ABC = min(max_AB, max_AC, max_BC)

    min_AB = max(0, AB)
    min_AC = max(0, AC)
    min_BC = max(0, BC)
    min_ABC = max(0, ABC)

    suggestions = {
        "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)}
    
    venn_diagram = plot_venn(A, B, C, AB, AC, BC, ABC)
    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)}

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()