|
| 1 | +import secrets |
| 2 | + |
| 3 | +from chiavdf import ( |
| 4 | + create_discriminant, |
| 5 | + prove, |
| 6 | + verify_wesolowski, |
| 7 | + verify_n_wesolowski, |
| 8 | + verify_n_wesolowski_with_b, |
| 9 | + get_b_from_n_wesolowski, |
| 10 | +) |
| 11 | + |
| 12 | + |
| 13 | +def prove_n_weso(discriminant_challenge, x, discriminant_size, form_size, iters, witness, wrong_segm): |
| 14 | + iters_chunk = iters // (witness + 1) |
| 15 | + partials = [] |
| 16 | + discriminant = create_discriminant(discriminant_challenge, discriminant_size) |
| 17 | + for _ in range(witness): |
| 18 | + result = prove(discriminant_challenge, x, discriminant_size, iters_chunk) |
| 19 | + y = result[:form_size] |
| 20 | + proof = result[form_size : 2 * form_size] |
| 21 | + partials.append((x, y, proof)) |
| 22 | + x = y |
| 23 | + iters -= iters_chunk * witness |
| 24 | + result = prove(discriminant_challenge, x, discriminant_size, iters) |
| 25 | + y_result = result[:form_size] |
| 26 | + y_proof = result[form_size : 2 * form_size] |
| 27 | + assert verify_wesolowski(discriminant, x, y_result, y_proof, iters) |
| 28 | + b_hex = get_b_from_n_wesolowski(discriminant, x, y_result + y_proof, iters, 0) |
| 29 | + is_valid, y_from_compression = verify_n_wesolowski_with_b( |
| 30 | + discriminant, |
| 31 | + b_hex, |
| 32 | + x, |
| 33 | + y_proof, |
| 34 | + iters, |
| 35 | + 0, |
| 36 | + ) |
| 37 | + assert is_valid |
| 38 | + assert y_from_compression == y_result |
| 39 | + inner_proof = b"" |
| 40 | + for x, y, proof in reversed(partials): |
| 41 | + b_hex = get_b_from_n_wesolowski(discriminant, x, y + proof, iters_chunk, 0) |
| 42 | + b = int(b_hex, 16) |
| 43 | + assert verify_wesolowski(discriminant, x, y, proof, iters_chunk) |
| 44 | + is_valid, y_from_compression = verify_n_wesolowski_with_b( |
| 45 | + discriminant, |
| 46 | + b_hex, |
| 47 | + x, |
| 48 | + proof, |
| 49 | + iters_chunk, |
| 50 | + 0, |
| 51 | + ) |
| 52 | + assert is_valid |
| 53 | + assert y == y_from_compression |
| 54 | + if not wrong_segm: |
| 55 | + inner_proof += iters_chunk.to_bytes(8, byteorder='big') |
| 56 | + else: |
| 57 | + iters_wrong = iters_chunk + 1 |
| 58 | + inner_proof += iters_wrong.to_bytes(8, byteorder='big') |
| 59 | + wrong_segm = False |
| 60 | + inner_proof += b.to_bytes(33, byteorder='big') |
| 61 | + inner_proof += proof |
| 62 | + return y_result, y_proof + inner_proof |
| 63 | + |
| 64 | + |
| 65 | +def test_prove_n_weso_and_verify(): |
| 66 | + discriminant_challenge = secrets.token_bytes(10) |
| 67 | + discriminant_size = 512 |
| 68 | + discriminant = create_discriminant(discriminant_challenge, discriminant_size) |
| 69 | + form_size = 100 |
| 70 | + initial_el = b"\x08" + (b"\x00" * 99) |
| 71 | + |
| 72 | + for iters in [1000000, 5000000, 10000000]: |
| 73 | + y, proof = prove_n_weso(discriminant_challenge, initial_el, discriminant_size, form_size, iters, 5, False) |
| 74 | + is_valid = verify_n_wesolowski( |
| 75 | + str(discriminant), |
| 76 | + initial_el, |
| 77 | + y + proof, |
| 78 | + iters, |
| 79 | + discriminant_size, |
| 80 | + 5, |
| 81 | + ) |
| 82 | + assert is_valid |
| 83 | + is_valid = verify_n_wesolowski( |
| 84 | + str(discriminant), |
| 85 | + initial_el, |
| 86 | + y + proof, |
| 87 | + iters + 1, |
| 88 | + discriminant_size, |
| 89 | + 5, |
| 90 | + ) |
| 91 | + assert not is_valid |
| 92 | + y, proof_wrong = prove_n_weso(discriminant_challenge, initial_el, discriminant_size, form_size, iters, 10, True) |
| 93 | + is_valid = verify_n_wesolowski( |
| 94 | + str(discriminant), |
| 95 | + initial_el, |
| 96 | + y + proof_wrong, |
| 97 | + iters, |
| 98 | + discriminant_size, |
| 99 | + 10, |
| 100 | + ) |
| 101 | + assert not is_valid |
| 102 | + b_hex = get_b_from_n_wesolowski(discriminant, initial_el, y + proof, iters, 5) |
| 103 | + is_valid, y_from_compression = verify_n_wesolowski_with_b( |
| 104 | + discriminant, |
| 105 | + b_hex, |
| 106 | + initial_el, |
| 107 | + proof, |
| 108 | + iters, |
| 109 | + 5, |
| 110 | + ) |
| 111 | + assert is_valid |
| 112 | + assert y_from_compression == y |
| 113 | + B = str(int(b_hex, 16)) |
| 114 | + is_valid, y_from_compression = verify_n_wesolowski_with_b( |
| 115 | + discriminant, |
| 116 | + B, |
| 117 | + initial_el, |
| 118 | + proof, |
| 119 | + iters, |
| 120 | + 5, |
| 121 | + ) |
| 122 | + assert is_valid |
| 123 | + assert y_from_compression == y |
| 124 | + B_wrong = str(int(b_hex, 16) + 1) |
| 125 | + is_valid, y_from_compression = verify_n_wesolowski_with_b( |
| 126 | + discriminant, |
| 127 | + B_wrong, |
| 128 | + initial_el, |
| 129 | + proof, |
| 130 | + iters, |
| 131 | + 5, |
| 132 | + ) |
| 133 | + assert not is_valid |
| 134 | + assert y_from_compression == b"" |
| 135 | + is_valid, y_from_compression = verify_n_wesolowski_with_b( |
| 136 | + discriminant, |
| 137 | + B, |
| 138 | + initial_el, |
| 139 | + proof_wrong, |
| 140 | + iters, |
| 141 | + 10, |
| 142 | + ) |
| 143 | + assert not is_valid |
| 144 | + assert y_from_compression == b"" |
| 145 | + initial_el = y |
| 146 | + |
| 147 | + |
| 148 | +test_prove_n_weso_and_verify() |
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