app.py

import gradio as gr
import hashlib, random, matplotlib.pyplot as plt

# === Mutation Engine ===
operators = ["\\sin", "\\cos", "\\exp", "\\log", "\\nabla", "\\int", "\\frac{\\partial}{\\partial t}"]
variables = ["x", "y", "t", "\\xi_1", "dP", "d\\Psi", "dT"]

def mutate_formula(base, epoch):
    # Structural mutation rules
    if epoch % 5 == 0:
        base = f"\\int ({base}) \\, dx"
    elif epoch % 7 == 0:
        base = f"\\nabla \\cdot ({base})"
    else:
        new_term = random.choice(operators) + "(" + random.choice(variables) + ")"
        base = base + " + " + new_term
    return base

def run_epochs(n=50):
    formulas = []
    base = "x^2 + 1"  # starting point
    for epoch in range(1, n+1):
        base = mutate_formula(base, epoch)
        seal = hashlib.sha512(base.encode()).hexdigest()
        complexity = base.count("\\") + base.count("+")
        formulas.append(f"**Epoch {epoch}**\n\n$$ {base} $$\n\nImmortality Glyph: `{seal[:32]}...`")
    return "\n\n---\n\n".join(formulas)

# === Complexity Plot ===
def plot_complexity(n=50):
    base = "x^2 + 1"
    complexities = []
    epochs = list(range(1, n+1))
    for epoch in epochs:
        base = mutate_formula(base, epoch)
        complexity = base.count("\\") + base.count("+")
        complexities.append(complexity)
    plt.figure(figsize=(8,5), facecolor="black")
    plt.plot(epochs, complexities, color="cyan", marker="o", linestyle="--")
    plt.title("Symbolic Complexity Growth Across Epochs", color="white")
    plt.xlabel("Epoch"); plt.ylabel("Complexity Score")
    plt.grid(alpha=0.3); plt.gca().set_facecolor("black")
    return plt.gcf()

# === Gradio App ===
with gr.Blocks(theme=gr.themes.Monochrome()) as demo:
    gr.Markdown("# 🌌 Resonance Atlas — The Living Codex")
    gr.Markdown("Watch formulas evolve into higher symbolic forms across epochs. Each scroll is sealed with an Immortality Glyph.")

    with gr.Tab("Codex Scrolls"):
        run_button = gr.Button("Run 50 Epochs")
        output = gr.Markdown()
        run_button.click(fn=run_epochs, inputs=None, outputs=output)

    with gr.Tab("Complexity Timeline"):
        plot_button = gr.Button("Show Complexity Growth")
        plot_output = gr.Plot()
        plot_button.click(fn=plot_complexity, inputs=None, outputs=plot_output)

    with gr.Tab("Immersion Mode"):
        gr.Markdown("### Full‑screen dynamic visualization coming soon…")
        gr.Markdown("Formulas pulse, glyphs glow, epochs unfold.")

demo.launch()