# btc4096_compact.py
# Fully compact recursive HDGL covenant
# 4096 vectors folded into minimal lines with safe r_dim/Ω saturation

MAX_VECTORS = 4096
BLOCK_SIZE = 64  # base folding unit
SAFE_ZERO = "0x0"

# r_dim & Ω for base blocks (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_block(block_idx, idx_base, block_size=BLOCK_SIZE):
    """Generate a single block of vectors with minimal lines"""
    script = []
    vectors_per_line = 4
    num_lines = block_size // vectors_per_line

    for line_idx in range(num_lines):
        # vector addition line
        script.append(" ".join([SAFE_ZERO]*vectors_per_line) + " OP_HDGL_VEC_ADD OP_EQUALVERIFY")
        # OP_ADD line
        add_idx = idx_base + line_idx*vectors_per_line
        script.append(f"{add_idx} {add_idx+1} OP_ADD {add_idx+2} OP_EQUALVERIFY")
        # OP_WITHINVERIFY line
        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 line_idx == 0:
            script.append(f"{PARAMS[block_idx][0]} {PARAMS[block_idx][1]} OP_HDGL_PARAM_ADD OP_EQUALVERIFY")
        script.append("")  # readability

    return script

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

    num_base_blocks = MAX_VECTORS // BLOCK_SIZE
    idx_base = 100
    # generate all base blocks
    for block_idx in range(1, num_base_blocks + 1):
        script.extend(generate_block(block_idx, idx_base))
        idx_base += BLOCK_SIZE

    # recursively fold 64-block superblocks until single fold remains
    fold_size = BLOCK_SIZE
    fold_level = 1
    while fold_size < num_base_blocks:
        superblocks = num_base_blocks // fold_size
        for s_idx in range(superblocks):
            base_idx = 100 + s_idx * fold_size * BLOCK_SIZE
            script.append(f"# Recursive fold level {fold_level}, superblock {s_idx+1}")
            # minimal folding line
            script.append(f"{SAFE_ZERO} {SAFE_ZERO} {SAFE_ZERO} {SAFE_ZERO} OP_HDGL_VEC_ADD OP_EQUALVERIFY\n")
        fold_size *= BLOCK_SIZE
        fold_level += 1

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

if __name__ == "__main__":
    covenant_script = generate_recursive_covenant()
    print("=== Fully Compact 4096-Vector HDGL Covenant ===")
    print(covenant_script)
