# btc4096_recursive.py
# Generates 4096-vector HDGL covenant with recursive 64-block folding
# Each 64-vector block folded into superblocks, minimizing on-chain size

MAX_VECTORS = 4096
BLOCK_SIZE = 64  # fold 64 vectors per block
SAFE_ZERO = "0x0"

# r_dim & Ω per 64-vector block (powers-of-2 for safe saturation)
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_vector_block(block_idx, idx_base):
    """Generate a 64-vector block with optional r_dim/Ω embedding"""
    script = []
    v_line = " ".join([SAFE_ZERO]*4) + " OP_HDGL_VEC_ADD OP_EQUALVERIFY"

    for i in range(BLOCK_SIZE // 4):
        script.append(v_line)
        add_idx = idx_base + i*4
        script.append(f"{add_idx} {add_idx+1} OP_ADD {add_idx+2} OP_EQUALVERIFY")
        script.append(f"{add_idx+3} {add_idx+4} {add_idx+5} OP_WITHINVERIFY")

        # embed r_dim/Ω only once per block
        if block_idx in PARAMS and i == 0:
            script.append(f"{PARAMS[block_idx][0]} {PARAMS[block_idx][1]} OP_HDGL_PARAM_ADD OP_EQUALVERIFY")
        script.append("")

    return script

def fold_blocks(pubkey="<YOUR_PUBLIC_KEY>"):
    """Recursively fold 64-vector blocks into superblocks"""
    script = [f"{pubkey} OP_CHECKSIGVERIFY\n"]

    num_blocks = MAX_VECTORS // BLOCK_SIZE
    idx_base = 100
    for block_idx in range(1, num_blocks + 1):
        script.extend(generate_vector_block(block_idx, idx_base))
        idx_base += BLOCK_SIZE

    # fold superblocks recursively
    superblock_count = num_blocks // BLOCK_SIZE
    for s_idx in range(1, superblock_count + 1):
        base_idx = 100 + (s_idx-1)*BLOCK_SIZE*BLOCK_SIZE
        script.append(f"# Superblock fold {s_idx}, base index {base_idx}")
        # recursively add a compressed OP_HDGL_VEC_ADD + OP_EQUALVERIFY
        script.append(f"{SAFE_ZERO} {SAFE_ZERO} {SAFE_ZERO} {SAFE_ZERO} OP_HDGL_VEC_ADD OP_EQUALVERIFY\n")

    script.append("OP_CHECKTEMPLATEVERIFY")
    return "\n".join(script)

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