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Update app.py
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app.py
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@@ -4,15 +4,19 @@ from matplotlib_venn import venn3
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from io import BytesIO
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from PIL import Image
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def validate_inputs(A, B, C, AB, AC, BC, ABC, U):
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total_needed = A + B + C - AB - AC - BC + ABC
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errors = []
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if total_needed > U:
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errors.append("El conjunto universal U debe ser mayor o igual a la suma de los subconjuntos y sus intersecciones.")
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return errors
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def calculate_probabilities(A, B, C, AB, AC, BC, ABC, U):
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total = U
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P_A = A / total
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P_B = B / total
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P_C = C / total
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@@ -20,86 +24,48 @@ def calculate_probabilities(A, B, C, AB, AC, BC, ABC, U):
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P_AC = AC / total
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P_BC = BC / total
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P_ABC = ABC / total
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formatted_probs = {
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"P(A)": f"{P_A:.2%} ({A}/{total})",
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"P(B)": f"{P_B:.2%} ({B}/{total})",
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"P(C)": f"{P_C:.2%} ({C}/{total})",
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"P(A ∩ B)": f"{P_AB:.2%} ({AB}/{total})",
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"P(A ∩ C)": f"{P_AC:.2%} ({AC}/{total})",
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"P(B ∩ C)": f"{P_BC:.2%} ({BC}/{total})",
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"P(A ∩ B ∩ C)": f"{P_ABC:.2%} ({ABC}/{total})"
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}
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return
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def plot_venn(A, B, C, AB, AC, BC, ABC):
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plt.figure(figsize=(8, 8))
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subsets =
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'001': C - AC - BC + ABC,
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'110': AB - ABC,
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'101': AC - ABC,
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'011': BC - ABC,
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'111': ABC
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}
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venn = venn3(subsets=subsets, set_labels=('A', 'B', 'C'))
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plt.title(f"Diagrama de Venn")
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buf = BytesIO()
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plt.savefig(buf, format='png')
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buf.seek(0)
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img = Image.open(buf)
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return img
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def suggest_intersections(A, B, C, AB, AC, BC, ABC):
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max_AB = min(A, B)
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max_AC = min(A, C)
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max_BC = min(B, C)
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max_ABC = min(max_AB, max_AC, max_BC)
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min_AB = max(0, AB)
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min_AC = max(0, AC)
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min_BC = max(0, BC)
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min_ABC = max(0, ABC)
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suggestions = {
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"Máximo valor sugerido para A ∩ B": max_AB,
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"Mínimo valor sugerido para A ∩ B": min_AB,
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"Máximo valor sugerido para A ∩ C": max_AC,
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"Mínimo valor sugerido para A ∩ C": min_AC,
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"Máximo valor sugerido para B ∩ C": max_BC,
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"Mínimo valor sugerido para B ∩ C": min_BC,
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"Máximo valor sugerido para A ∩ B ∩ C": max_ABC,
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"Mínimo valor sugerido para A ∩ B ∩ C": min_ABC,
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}
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return suggestions
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def main(A, B, C, AB, AC, BC, ABC, U):
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errors = validate_inputs(A, B, C, AB, AC, BC, ABC, U)
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if errors:
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return None, {"error": "\n".join(errors), "sugerencias": suggest_intersections(A, B, C, AB, AC, BC, ABC)}
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venn_diagram = plot_venn(A, B, C, AB, AC, BC, ABC)
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probabilities = calculate_probabilities(A, B, C, AB, AC, BC, ABC, U)
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return venn_diagram,
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iface = gr.Interface(
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fn=main,
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inputs=[
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gr.Number(label="Conjunto Universal (U)", value=0),
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gr.Number(label="Cantidad en A"),
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gr.Number(label="Cantidad en B"),
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gr.Number(label="Cantidad en C"),
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gr.Number(label="Cantidad en A ∩ B"),
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gr.Number(label="Cantidad en A ∩ C"),
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gr.Number(label="Cantidad en B ∩ C"),
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gr.Number(label="Cantidad en A ∩ B ∩ C")
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],
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outputs=[
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gr.Image(type="pil", label="Diagrama de Venn"),
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gr.JSON(label="
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],
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live=True
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)
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from io import BytesIO
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from PIL import Image
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def calculate_probabilities(A, B, C, AB, AC, BC, ABC, U):
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total = U if U > 0 else (A + B + C - AB - AC - BC + ABC)
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if total == 0:
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return {
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"P(A)": 0,
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"P(B)": 0,
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"P(C)": 0,
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"P(A ∩ B)": 0,
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"P(A ∩ C)": 0,
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"P(B ∩ C)": 0,
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"P(A ∩ B ∩ C)": 0,
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}
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P_A = A / total
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P_B = B / total
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P_C = C / total
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P_AC = AC / total
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P_BC = BC / total
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P_ABC = ABC / total
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return {
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"P(A)": P_A,
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"P(B)": P_B,
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"P(C)": P_C,
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"P(A ∩ B)": P_AB,
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"P(A ∩ C)": P_AC,
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"P(B ∩ C)": P_BC,
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"P(A ∩ B ∩ C)": P_ABC,
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}
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def plot_venn(A, B, C, AB, AC, BC, ABC):
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plt.figure(figsize=(8, 8))
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venn = venn3(subsets=(A, B, AB, C, AC, BC, ABC), set_labels=('A', 'B', 'C'))
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plt.title("Venn Diagram")
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buf = BytesIO()
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plt.savefig(buf, format='png')
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buf.seek(0)
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img = Image.open(buf)
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return img
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def main(A, B, C, AB, AC, BC, ABC, U):
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venn_diagram = plot_venn(A, B, C, AB, AC, BC, ABC)
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probabilities = calculate_probabilities(A, B, C, AB, AC, BC, ABC, U)
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return venn_diagram, probabilities
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iface = gr.Interface(
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fn=main,
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inputs=[
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gr.Number(label="Cantidad en A"),
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gr.Number(label="Cantidad en B"),
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gr.Number(label="Cantidad en C"),
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gr.Number(label="Cantidad en A ∩ B"),
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gr.Number(label="Cantidad en A ∩ C"),
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gr.Number(label="Cantidad en B ∩ C"),
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gr.Number(label="Cantidad en A ∩ B ∩ C"),
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gr.Number(label="Conjunto Universal (U)")
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],
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outputs=[
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gr.Image(type="pil", label="Diagrama de Venn"),
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gr.JSON(label="Probabilidades Calculadas")
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],
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live=True
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)
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