|
| 1 | +from typing import Tuple |
| 2 | + |
| 3 | +from eth_utils import ( |
| 4 | + ValidationError, |
| 5 | + big_endian_to_int, |
| 6 | +) |
| 7 | +from py_ecc import ( |
| 8 | + optimized_bls12_381 as bls12_381, |
| 9 | + bls |
| 10 | +) |
| 11 | + |
| 12 | +from eth import constants |
| 13 | +from eth.exceptions import ( |
| 14 | + VMError, |
| 15 | +) |
| 16 | + |
| 17 | +from eth.vm.computation import ( |
| 18 | + BaseComputation, |
| 19 | +) |
| 20 | + |
| 21 | + |
| 22 | +FP2_SIZE_IN_BYTES = 128 |
| 23 | +G1_SIZE_IN_BYTES = 128 |
| 24 | +G2_SIZE_IN_BYTES = 256 |
| 25 | + |
| 26 | +G1Point = Tuple[bls12_381.FQ, bls12_381.FQ] |
| 27 | +G2Point = Tuple[bls12_381.FQ2, bls12_381.FQ2] |
| 28 | + |
| 29 | + |
| 30 | +def _parse_g1_point(data: bytes) -> G1Point: |
| 31 | + if len(data) != G1_SIZE_IN_BYTES: |
| 32 | + raise ValidationError("invalid size of G1 input") |
| 33 | + |
| 34 | + point = ( |
| 35 | + bls12_381.FQ( |
| 36 | + int.from_bytes(data[0:64], byteorder="big") |
| 37 | + ), |
| 38 | + bls12_381.FQ( |
| 39 | + int.from_bytes(data[64:128], byteorder="big") |
| 40 | + ) |
| 41 | + ) |
| 42 | + |
| 43 | + if not bls12_381.is_on_curve(point, bls12_381.b): |
| 44 | + raise ValidationError("invalid G1 point not on curve") |
| 45 | + |
| 46 | + return point |
| 47 | + |
| 48 | + |
| 49 | +def g1_add(computation: BaseComputation, |
| 50 | + gas_cost: int = constants.GAS_BLS_G1_ADD) -> BaseComputation: |
| 51 | + raise NotImplementedError() |
| 52 | + |
| 53 | + |
| 54 | +def g1_mul(computation: BaseComputation, |
| 55 | + gas_cost: int = constants.GAS_BLS_G1_MUL) -> BaseComputation: |
| 56 | + raise NotImplementedError() |
| 57 | + |
| 58 | + |
| 59 | +def g1_multiexp(computation: BaseComputation) -> BaseComputation: |
| 60 | + # NOTE: gas cost involves a discount based on the number of points involved |
| 61 | + # TODO load discount table and compute gas cost based on number of inputs |
| 62 | + raise NotImplementedError() |
| 63 | + |
| 64 | + |
| 65 | +def _parse_g2_point(data: bytes) -> G2Point: |
| 66 | + if len(data) != G2_SIZE_IN_BYTES: |
| 67 | + raise ValidationError("invalid size of G2 input") |
| 68 | + |
| 69 | + point = ( |
| 70 | + bls12_381.FQ2( |
| 71 | + ( |
| 72 | + int.from_bytes(data[0:64], byteorder="big"), |
| 73 | + int.from_bytes(data[64:128], byteorder="big") |
| 74 | + ) |
| 75 | + ), |
| 76 | + bls12_381.FQ2( |
| 77 | + ( |
| 78 | + int.from_bytes(data[128:192], byteorder="big"), |
| 79 | + int.from_bytes(data[192:256], byteorder="big") |
| 80 | + ) |
| 81 | + ) |
| 82 | + ) |
| 83 | + |
| 84 | + if not bls12_381.is_on_curve(point, bls12_381.b2): |
| 85 | + raise ValidationError("invalid G2 point not on curve") |
| 86 | + |
| 87 | + return point |
| 88 | + |
| 89 | + |
| 90 | +def _serialize_g2(result: G2Point) -> bytes: |
| 91 | + return b"".join( |
| 92 | + ( |
| 93 | + result[0][0].to_bytes(64, byteorder="big"), |
| 94 | + result[0][1].to_bytes(64, byteorder="big"), |
| 95 | + result[1][0].to_bytes(64, byteorder="big"), |
| 96 | + result[1][1].to_bytes(64, byteorder="big"), |
| 97 | + ) |
| 98 | + ) |
| 99 | + |
| 100 | + |
| 101 | +def _g2_add(x: G2Point, y: G2Point) -> G2Point: |
| 102 | + result = bls12_381.add((x[0], x[1], bls12_381.FQ2.one()), (y[0], y[1], bls12_381.FQ2.one())) |
| 103 | + return bls12_381.normalize(result) |
| 104 | + |
| 105 | + |
| 106 | +def g2_add(computation: BaseComputation, |
| 107 | + gas_cost: int = constants.GAS_BLS_G2_ADD) -> BaseComputation: |
| 108 | + computation.consume_gas(gas_cost, reason='BLS_G2_ADD Precompile') |
| 109 | + |
| 110 | + try: |
| 111 | + input_data = computation.msg.data_as_bytes |
| 112 | + x = _parse_g2_point(input_data[:G2_SIZE_IN_BYTES]) |
| 113 | + y = _parse_g2_point(input_data[G2_SIZE_IN_BYTES:]) |
| 114 | + result = _g2_add(x, y) |
| 115 | + except ValidationError: |
| 116 | + raise VMError("Invalid BLS_G2_ADD parameters") |
| 117 | + |
| 118 | + computation.output = _serialize_g2(result) |
| 119 | + return computation |
| 120 | + |
| 121 | + |
| 122 | +def _g2_mul(x: G2Point, k: int) -> G2Point: |
| 123 | + result = bls12_381.multiply((x[0], x[1], bls12_381.FQ2.one()), k) |
| 124 | + return bls12_381.normalize(result) |
| 125 | + |
| 126 | + |
| 127 | +def _parse_scalar(data: bytes) -> int: |
| 128 | + if len(data) != 32: |
| 129 | + raise ValidationError("invalid size of scalar input") |
| 130 | + |
| 131 | + return big_endian_to_int(data) |
| 132 | + |
| 133 | + |
| 134 | +def g2_mul(computation: BaseComputation, |
| 135 | + gas_cost: int = constants.GAS_BLS_G2_MUL) -> BaseComputation: |
| 136 | + computation.consume_gas(gas_cost, reason='BLS_G2_MUL Precompile') |
| 137 | + |
| 138 | + try: |
| 139 | + input_data = computation.msg.data_as_bytes |
| 140 | + x = _parse_g2_point(input_data[:G2_SIZE_IN_BYTES]) |
| 141 | + k = _parse_scalar(input_data[G2_SIZE_IN_BYTES:]) |
| 142 | + result = _g2_mul(x, k) |
| 143 | + except ValidationError: |
| 144 | + raise VMError("Invalid BLS_G2_MUL parameters") |
| 145 | + |
| 146 | + computation.output = _serialize_g2(result) |
| 147 | + return computation |
| 148 | + |
| 149 | + |
| 150 | +def g2_multiexp(computation: BaseComputation) -> BaseComputation: |
| 151 | + # NOTE: gas cost involves a discount based on the number of points involved |
| 152 | + # TODO load discount table and compute gas cost based on number of inputs |
| 153 | + raise NotImplementedError() |
| 154 | + |
| 155 | + |
| 156 | +def _pairing(input_data: bytes) -> bool: |
| 157 | + field_element = bls12_381.FQ12.one() |
| 158 | + g1_to_g2_offset = G1_SIZE_IN_BYTES + G2_SIZE_IN_BYTES |
| 159 | + for next_index in range(0, len(input_data), 384): |
| 160 | + p = _parse_g1_point(input_data[next_index:next_index + G1_SIZE_IN_BYTES]) |
| 161 | + |
| 162 | + q = _parse_g2_point( |
| 163 | + input_data[next_index + G1_SIZE_IN_BYTES:next_index + g1_to_g2_offset] |
| 164 | + ) |
| 165 | + projective_p = (p[0], p[1], bls12_381.FQ.one()) |
| 166 | + projective_q = (q[0], q[1], bls12_381.FQ2.one()) |
| 167 | + field_element *= bls12_381.pairing(projective_q, projective_p, final_exponentiate=False) |
| 168 | + |
| 169 | + return bls12_381.final_exponentiate(field_element) == bls12_381.FQ12.one() |
| 170 | + |
| 171 | + |
| 172 | +def _serialize_boolean(value: bool) -> bytes: |
| 173 | + return int(value).to_bytes(32, byteorder="big") |
| 174 | + |
| 175 | + |
| 176 | +def pairing(computation: BaseComputation, |
| 177 | + gas_cost_base: int = constants.GAS_BLS_PAIRING_BASE, |
| 178 | + gas_cost_per_pair: int = constants.GAS_BLS_PAIRING_PER_PAIR) -> BaseComputation: |
| 179 | + input_data = computation.msg.data_as_bytes |
| 180 | + if len(input_data) % 384: |
| 181 | + # data length must be an exact multiple of 384 |
| 182 | + raise VMError("Invalid BLS_PAIRING parameters") |
| 183 | + |
| 184 | + num_points = len(input_data) // 384 |
| 185 | + gas_cost = gas_cost_base + num_points * gas_cost_per_pair |
| 186 | + |
| 187 | + computation.consume_gas(gas_cost, reason='BLS_PAIRING Precompile') |
| 188 | + |
| 189 | + try: |
| 190 | + result = _pairing(input_data) |
| 191 | + except ValidationError: |
| 192 | + raise VMError("Invalid BLS_PAIRING parameters") |
| 193 | + |
| 194 | + computation.output = _serialize_boolean(result) |
| 195 | + return computation |
| 196 | + |
| 197 | + |
| 198 | +def map_fp_to_g1(computation: BaseComputation, |
| 199 | + gas_cost: int = constants.GAS_BLS_MAP_FP_TO_G1) -> BaseComputation: |
| 200 | + raise NotImplementedError() |
| 201 | + |
| 202 | + |
| 203 | +def _parse_fp2_element(data: bytes) -> bls12_381.FQ2: |
| 204 | + if len(data) != FP2_SIZE_IN_BYTES: |
| 205 | + raise ValidationError("invalid size of FP2 input") |
| 206 | + |
| 207 | + return bls12_381.FQ2( |
| 208 | + ( |
| 209 | + int.from_bytes(data[:64], byteorder="big"), |
| 210 | + int.from_bytes(data[64:], byteorder="big") |
| 211 | + ) |
| 212 | + ) |
| 213 | + |
| 214 | + |
| 215 | +def _map_fp2_to_g2(x: bls12_381.FQ2) -> G2Point: |
| 216 | + point = bls.hash_to_curve.map_to_curve_G2(x) |
| 217 | + return bls12_381.normalize(point) |
| 218 | + |
| 219 | + |
| 220 | +def map_fp2_to_g2(computation: BaseComputation, |
| 221 | + gas_cost: int = constants.GAS_BLS_MAP_FP2_TO_G2) -> BaseComputation: |
| 222 | + computation.consume_gas(gas_cost, reason='BLS_MAP_FP2_TO_G2 Precompile') |
| 223 | + |
| 224 | + try: |
| 225 | + input_data = computation.msg.data_as_bytes |
| 226 | + x = _parse_fp2_element(input_data[:FP2_SIZE_IN_BYTES]) |
| 227 | + result = _map_fp2_to_g2(x) |
| 228 | + except ValidationError: |
| 229 | + raise VMError("Invalid BLS_MAP_FP2_TO_G2 parameters") |
| 230 | + |
| 231 | + computation.output = _serialize_g2(result) |
| 232 | + return computation |
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