# btc4096_folded_real.py
# Fully folded 4096-vector HDGL covenant: recursive expansion on-chain
# Minimal seed + logarithmic folding pattern

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

# Example r_dim & Ω per initial block
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_folded_hdgl_real(pubkey="<YOUR_PUBLIC_KEY>"):
    script = [f"{pubkey} OP_CHECKSIGVERIFY\n"]

    # Step 1: Seed vectors
    for block_idx, (r_dim, omega) in PARAMS.items():
        script.append(f"{SAFE_ZERO} {SAFE_ZERO} {SAFE_ZERO} {SAFE_ZERO} OP_HDGL_VEC_ADD OP_EQUALVERIFY")
        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")
        script.append(f"{r_dim} {omega} OP_HDGL_PARAM_ADD OP_EQUALVERIFY\n")

    # Step 2: Recursive expansion
    # Each iteration doubles the number of vectors
    # Inline expansion using OP_VEC_DUP + OP_HDGL_VEC_ADD + OP_EQUALVERIFY
    current_vectors = len(PARAMS)*BLOCK_SIZE
    idx_offset = 100 + current_vectors
    while current_vectors < MAX_VECTORS:
        script.append(f"# Folding: {current_vectors} → {min(current_vectors*2, MAX_VECTORS)} vectors")
        # duplicate all previous vectors
        script.append(f"OP_VEC_DUP {current_vectors} OP_HDGL_VEC_ADD OP_EQUALVERIFY")
        # minimal OP indices for newly generated vectors
        script.append(f"{idx_offset} {idx_offset+1} OP_ADD {idx_offset+2} OP_EQUALVERIFY")
        script.append(f"{idx_offset+3} {idx_offset+4} {idx_offset+5} OP_WITHINVERIFY\n")
        idx_offset += current_vectors
        current_vectors *= 2

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

if __name__ == "__main__":
    covenant_script = generate_folded_hdgl_real()
    print("=== Fully Folded 4096-Vector HDGL Covenant (Logarithmic Expansion) ===")
    print(covenant_script)
