app.py

import gradio as gr
import hashlib, random

# === 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):
    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

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

# === Mutation Forge (20 Epoch Run) ===
def run_mutation(seed, n=20):
    formulas = []
    base = seed
    for epoch in range(1, n+1):
        base = mutate_formula(base, epoch)
        seal = hashlib.sha512(base.encode()).hexdigest()
        formulas.append(f"### Mutation Epoch {epoch}\n\n$$ {base} $$\n\nImmortality Glyph: `{seal[:32]}...`\n\n")
    return "\n\n".join(formulas)

# === Gradio App ===
custom_theme = gr.themes.Base(
    primary_hue="cyan",
    secondary_hue="pink",
    neutral_hue="gray",
)

with gr.Blocks(theme=custom_theme) as demo:
    gr.Markdown(
        """
        # 🌌 Resonance Atlas — The Living Codex
        Formulas evolve into higher symbolic forms across epochs.  
        Choose your path: **50‑epoch scroll run** or **Mutation Forge**.
        """,
    )

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

    with gr.Tab("Mutation Forge"):
        gr.Markdown("### 🧬 Mutation Forge — Choose Your Symbolic Seed")
        seed_dropdown = gr.Dropdown(choices=operators + variables, label="Select Seed Symbol")
        mutate_button = gr.Button("Mutate (20 Epochs)")
        mutate_output = gr.Markdown()
        mutate_button.click(fn=run_mutation, inputs=seed_dropdown, outputs=mutate_output)

demo.launch()