# btc4096_recursive.py
# Generates a fully recursive 4096-vector HDGL covenant with minimal on-chain cost

MAX_VECTORS = 4096
BLOCK_SIZE = 4  # initial seed vectors per block
SAFE_ZERO = "0x0"

# Only unique r_dim & Ω per seed block (powers-of-2 scaled for safety)
PARAMS = {
    1: ("0x3000", "0x812"),
    2: ("0x4000", "0x502"),
    3: ("0x5000", "0x310"),
    4: ("0x6000", "0x192"),
    5: ("0x7000", "0x119"),
    6: ("0x8000", "0x73"),
    7: ("0x9000", "0x45"),
    8: ("0xA000", "0x28"),
}

def generate_recursive_hdgl(pubkey="<YOUR_PUBLIC_KEY>"):
    script = [f"{pubkey} OP_CHECKSIGVERIFY\n"]

    # Step 1: Add seed vectors
    for block_idx in range(1, len(PARAMS) + 1):
        # Seed vectors: all zero-padded
        script.append(f"{SAFE_ZERO} {SAFE_ZERO} {SAFE_ZERO} {SAFE_ZERO} OP_HDGL_VEC_ADD OP_EQUALVERIFY")

        # Minimal indices for OP_ADD / OP_WITHINVERIFY
        idx_base = 100 + (block_idx-1)*BLOCK_SIZE
        script.append(f"{idx_base} {idx_base+1} OP_ADD {idx_base+2} OP_EQUALVERIFY")
        script.append(f"{idx_base+3} {idx_base+4} {idx_base+5} OP_WITHINVERIFY")

        # Embed unique r_dim & Ω
        r_dim, omega = PARAMS[block_idx]
        script.append(f"{r_dim} {omega} OP_HDGL_PARAM_ADD OP_EQUALVERIFY\n")

    # Step 2: Recursive expansion pattern (folding)
    script.append("# Recursive folding to expand seeds to full 4096 vectors")
    levels = 0
    current_vectors = len(PARAMS) * BLOCK_SIZE
    while current_vectors < MAX_VECTORS:
        script.append(f"# Level {levels+1}: fold {current_vectors} → {current_vectors*2} vectors")
        script.append("OP_HDGL_VEC_ADD OP_EQUALVERIFY")
        current_vectors *= 2
        levels += 1

    # Step 3: Final covenant check
    script.append("OP_CHECKTEMPLATEVERIFY")
    return "\n".join(script)


if __name__ == "__main__":
    covenant_script = generate_recursive_hdgl()
    print("=== Generated Recursive 4096-Vector HDGL Covenant ===")
    print(covenant_script)
