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| 1 | +// SPDX-License-Identifier: GPL-3.0 |
| 2 | +/* |
| 3 | + Copyright 2021 0KIMS association. |
| 4 | +
|
| 5 | + This file is generated with [snarkJS](https://github.com/iden3/snarkjs). |
| 6 | +
|
| 7 | + snarkJS is a free software: you can redistribute it and/or modify it |
| 8 | + under the terms of the GNU General Public License as published by |
| 9 | + the Free Software Foundation, either version 3 of the License, or |
| 10 | + (at your option) any later version. |
| 11 | +
|
| 12 | + snarkJS is distributed in the hope that it will be useful, but WITHOUT |
| 13 | + ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
| 14 | + or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
| 15 | + License for more details. |
| 16 | +
|
| 17 | + You should have received a copy of the GNU General Public License |
| 18 | + along with snarkJS. If not, see <https://www.gnu.org/licenses/>. |
| 19 | +*/ |
| 20 | + |
| 21 | +pragma solidity >=0.7.0 <0.9.0; |
| 22 | + |
| 23 | +/** |
| 24 | + * @notice See docs: |
| 25 | + * - https://www.icao.int/publications/Documents/9303_p4_cons_en.pdf |
| 26 | + * - https://www.icao.int/publications/pages/publication.aspx?docnum=9303 |
| 27 | + */ |
| 28 | +contract TD3QueryProofVerifier { |
| 29 | + // Scalar field size |
| 30 | + uint256 constant r = |
| 31 | + 21888242871839275222246405745257275088548364400416034343698204186575808495617; |
| 32 | + // Base field size |
| 33 | + uint256 constant q = |
| 34 | + 21888242871839275222246405745257275088696311157297823662689037894645226208583; |
| 35 | + |
| 36 | + // Verification Key data |
| 37 | + uint256 constant alphax = |
| 38 | + 20491192805390485299153009773594534940189261866228447918068658471970481763042; |
| 39 | + uint256 constant alphay = |
| 40 | + 9383485363053290200918347156157836566562967994039712273449902621266178545958; |
| 41 | + uint256 constant betax1 = |
| 42 | + 4252822878758300859123897981450591353533073413197771768651442665752259397132; |
| 43 | + uint256 constant betax2 = |
| 44 | + 6375614351688725206403948262868962793625744043794305715222011528459656738731; |
| 45 | + uint256 constant betay1 = |
| 46 | + 21847035105528745403288232691147584728191162732299865338377159692350059136679; |
| 47 | + uint256 constant betay2 = |
| 48 | + 10505242626370262277552901082094356697409835680220590971873171140371331206856; |
| 49 | + uint256 constant gammax1 = |
| 50 | + 11559732032986387107991004021392285783925812861821192530917403151452391805634; |
| 51 | + uint256 constant gammax2 = |
| 52 | + 10857046999023057135944570762232829481370756359578518086990519993285655852781; |
| 53 | + uint256 constant gammay1 = |
| 54 | + 4082367875863433681332203403145435568316851327593401208105741076214120093531; |
| 55 | + uint256 constant gammay2 = |
| 56 | + 8495653923123431417604973247489272438418190587263600148770280649306958101930; |
| 57 | + uint256 constant deltax1 = |
| 58 | + 7918804905557415959065306318808180222510617915496909222590026551054032447946; |
| 59 | + uint256 constant deltax2 = |
| 60 | + 21570251404699465383997747291488217929717666456841626090639890781888118671301; |
| 61 | + uint256 constant deltay1 = |
| 62 | + 12227424247988085355962415874861162192700194789671861533883587440189951371756; |
| 63 | + uint256 constant deltay2 = |
| 64 | + 12770166122086015482601558785592896923566484431398640759266017594312924815567; |
| 65 | + |
| 66 | + uint256 constant IC0x = |
| 67 | + 6732148179208849637983747353365901588397162895318630817123480374080083282971; |
| 68 | + uint256 constant IC0y = |
| 69 | + 19873949065566504430727995765849869146001433219930688585328131105756469657143; |
| 70 | + |
| 71 | + uint256 constant IC1x = |
| 72 | + 11864162617912496828298003467384864631982500302333274646587366337078555234489; |
| 73 | + uint256 constant IC1y = |
| 74 | + 13243913994381161699707280472912027185689309772034751789116324640110390023371; |
| 75 | + |
| 76 | + uint256 constant IC2x = |
| 77 | + 2152477988175581528811718075677955115933176953626428816782400018208138687886; |
| 78 | + uint256 constant IC2y = |
| 79 | + 21304911914077379900246443656312002593519535152202814009232163711234367112738; |
| 80 | + |
| 81 | + uint256 constant IC3x = |
| 82 | + 655824025125330549284978305816195737337932028870937776138550891442072289948; |
| 83 | + uint256 constant IC3y = |
| 84 | + 20598858092559550226833520247045145762608230923451821187319214985922050846038; |
| 85 | + |
| 86 | + uint256 constant IC4x = |
| 87 | + 14742252465638304198936790169928024792639417386063537385069919518789823887179; |
| 88 | + uint256 constant IC4y = |
| 89 | + 11337316405569947493711977431693666584029481240773156487041804459132673205450; |
| 90 | + |
| 91 | + uint256 constant IC5x = |
| 92 | + 12034782930432063083678167155130316689457611721454102965227744410026820074016; |
| 93 | + uint256 constant IC5y = |
| 94 | + 21297736145772749832688714810567013476509932280880601567033076624935868383201; |
| 95 | + |
| 96 | + uint256 constant IC6x = |
| 97 | + 2706481871710765193197021099125896543139620734589944432849123628744219374892; |
| 98 | + uint256 constant IC6y = |
| 99 | + 15287383566271981122068320654518465218128376525720170909726983453405044943768; |
| 100 | + |
| 101 | + uint256 constant IC7x = |
| 102 | + 7978645990063631634162396664760287651108002672865518575953754948353982493554; |
| 103 | + uint256 constant IC7y = |
| 104 | + 20956723562136283018604754105269513044659906446896960689020416153517420775922; |
| 105 | + |
| 106 | + uint256 constant IC8x = |
| 107 | + 3728653732928280111249403035073119520674644229189164280202302173380243104075; |
| 108 | + uint256 constant IC8y = |
| 109 | + 16163273024178534444167593159822692810788882601956973537917276827007542397221; |
| 110 | + |
| 111 | + uint256 constant IC9x = |
| 112 | + 13072642442623939270235765377554699919342817946694595276171859801046545521710; |
| 113 | + uint256 constant IC9y = |
| 114 | + 21413388219296908334424123093894914309747625936133826120899255372632730483602; |
| 115 | + |
| 116 | + uint256 constant IC10x = |
| 117 | + 19238193920918256704263366411167280812130230838694574584627126259800279172487; |
| 118 | + uint256 constant IC10y = |
| 119 | + 11042922968382520660623610190279180134634404688548083728225080910959607041532; |
| 120 | + |
| 121 | + uint256 constant IC11x = |
| 122 | + 13465041547313740870199973573586148600932466645721728925788548008697792870178; |
| 123 | + uint256 constant IC11y = |
| 124 | + 2559497114387644954353974936106194823597101622468833536920942555963880853329; |
| 125 | + |
| 126 | + uint256 constant IC12x = |
| 127 | + 6448115210589867889850688479237974973905996197919847455498475691758817670950; |
| 128 | + uint256 constant IC12y = |
| 129 | + 19610889249784031370406929000525753180537103121317363464996692338164817481106; |
| 130 | + |
| 131 | + uint256 constant IC13x = |
| 132 | + 8034742873640949793142891395586293753027108654291231391522184497800396109309; |
| 133 | + uint256 constant IC13y = |
| 134 | + 7923448118703035000195299309905740488123789722602373073176587770765305949745; |
| 135 | + |
| 136 | + uint256 constant IC14x = |
| 137 | + 4412641139681422637473097733369191171360304989207951202089689244738853322110; |
| 138 | + uint256 constant IC14y = |
| 139 | + 1438609447983686059884494923809890916669443886956332236564712850897233294835; |
| 140 | + |
| 141 | + uint256 constant IC15x = |
| 142 | + 10488201530579648685867148179262826225690700743573064742829591842009677466575; |
| 143 | + uint256 constant IC15y = |
| 144 | + 4375022409712288709286561498591261826348881658590497294732909090242139678171; |
| 145 | + |
| 146 | + uint256 constant IC16x = |
| 147 | + 19293432214388428523763043124057133693629381745542469639893005844708617050284; |
| 148 | + uint256 constant IC16y = |
| 149 | + 17843177594579490126508770229083098595769660386800499306761596137656090066332; |
| 150 | + |
| 151 | + uint256 constant IC17x = |
| 152 | + 6206938962385904113401091463201072701392307427359406618825216324430582525273; |
| 153 | + uint256 constant IC17y = |
| 154 | + 18082540415596003368776483988779423351001376667054755928356058038277536930387; |
| 155 | + |
| 156 | + uint256 constant IC18x = |
| 157 | + 17890636146909933289083883133111861315882487666849322700532595530150198649671; |
| 158 | + uint256 constant IC18y = |
| 159 | + 21563509439002684398882428854694060906558676506399748043993401712962351835106; |
| 160 | + |
| 161 | + uint256 constant IC19x = |
| 162 | + 10974696587630188372824313954397303641901217425802900893272334271312368845069; |
| 163 | + uint256 constant IC19y = |
| 164 | + 12238669004314126008684602719182501746500243123046763687231219646153001389629; |
| 165 | + |
| 166 | + uint256 constant IC20x = |
| 167 | + 19575237823423728300205986723029875361585107315887893407358497248606540167075; |
| 168 | + uint256 constant IC20y = |
| 169 | + 21856545102172887619716877437543815339890222972623263801463768298196756131238; |
| 170 | + |
| 171 | + uint256 constant IC21x = |
| 172 | + 9118149073253857404442977465930450917212144208873413022088319455042070716353; |
| 173 | + uint256 constant IC21y = |
| 174 | + 17307300866620426678565985126286452831664332652215420691654507066477234886723; |
| 175 | + |
| 176 | + uint256 constant IC22x = |
| 177 | + 9546940421895954373295434859172394272026752072203716476106496545033572581678; |
| 178 | + uint256 constant IC22y = |
| 179 | + 15407944163895440882179937094826152911853840893366019509021703800156910297582; |
| 180 | + |
| 181 | + uint256 constant IC23x = |
| 182 | + 6314518912771494436366538874810905757830781334166745139148309552057990561668; |
| 183 | + uint256 constant IC23y = |
| 184 | + 20331496807385136145073919378214977596267120508758015294153216074315139935895; |
| 185 | + |
| 186 | + // Memory data |
| 187 | + uint16 constant pVk = 0; |
| 188 | + uint16 constant pPairing = 128; |
| 189 | + |
| 190 | + uint16 constant pLastMem = 896; |
| 191 | + |
| 192 | + function verifyProof( |
| 193 | + uint[2] calldata _pA, |
| 194 | + uint[2][2] calldata _pB, |
| 195 | + uint[2] calldata _pC, |
| 196 | + uint[23] calldata _pubSignals |
| 197 | + ) public view returns (bool) { |
| 198 | + assembly { |
| 199 | + function checkField(v) { |
| 200 | + if iszero(lt(v, q)) { |
| 201 | + mstore(0, 0) |
| 202 | + return(0, 0x20) |
| 203 | + } |
| 204 | + } |
| 205 | + |
| 206 | + // G1 function to multiply a G1 value(x,y) to value in an address |
| 207 | + function g1_mulAccC(pR, x, y, s) { |
| 208 | + let success |
| 209 | + let mIn := mload(0x40) |
| 210 | + mstore(mIn, x) |
| 211 | + mstore(add(mIn, 32), y) |
| 212 | + mstore(add(mIn, 64), s) |
| 213 | + |
| 214 | + success := staticcall(sub(gas(), 2000), 7, mIn, 96, mIn, 64) |
| 215 | + |
| 216 | + if iszero(success) { |
| 217 | + mstore(0, 0) |
| 218 | + return(0, 0x20) |
| 219 | + } |
| 220 | + |
| 221 | + mstore(add(mIn, 64), mload(pR)) |
| 222 | + mstore(add(mIn, 96), mload(add(pR, 32))) |
| 223 | + |
| 224 | + success := staticcall(sub(gas(), 2000), 6, mIn, 128, pR, 64) |
| 225 | + |
| 226 | + if iszero(success) { |
| 227 | + mstore(0, 0) |
| 228 | + return(0, 0x20) |
| 229 | + } |
| 230 | + } |
| 231 | + |
| 232 | + function checkPairing(pA, pB, pC, pubSignals, pMem) -> isOk { |
| 233 | + let _pPairing := add(pMem, pPairing) |
| 234 | + let _pVk := add(pMem, pVk) |
| 235 | + |
| 236 | + mstore(_pVk, IC0x) |
| 237 | + mstore(add(_pVk, 32), IC0y) |
| 238 | + |
| 239 | + // Compute the linear combination vk_x |
| 240 | + |
| 241 | + g1_mulAccC(_pVk, IC1x, IC1y, calldataload(add(pubSignals, 0))) |
| 242 | + |
| 243 | + g1_mulAccC(_pVk, IC2x, IC2y, calldataload(add(pubSignals, 32))) |
| 244 | + |
| 245 | + g1_mulAccC(_pVk, IC3x, IC3y, calldataload(add(pubSignals, 64))) |
| 246 | + |
| 247 | + g1_mulAccC(_pVk, IC4x, IC4y, calldataload(add(pubSignals, 96))) |
| 248 | + |
| 249 | + g1_mulAccC(_pVk, IC5x, IC5y, calldataload(add(pubSignals, 128))) |
| 250 | + |
| 251 | + g1_mulAccC(_pVk, IC6x, IC6y, calldataload(add(pubSignals, 160))) |
| 252 | + |
| 253 | + g1_mulAccC(_pVk, IC7x, IC7y, calldataload(add(pubSignals, 192))) |
| 254 | + |
| 255 | + g1_mulAccC(_pVk, IC8x, IC8y, calldataload(add(pubSignals, 224))) |
| 256 | + |
| 257 | + g1_mulAccC(_pVk, IC9x, IC9y, calldataload(add(pubSignals, 256))) |
| 258 | + |
| 259 | + g1_mulAccC(_pVk, IC10x, IC10y, calldataload(add(pubSignals, 288))) |
| 260 | + |
| 261 | + g1_mulAccC(_pVk, IC11x, IC11y, calldataload(add(pubSignals, 320))) |
| 262 | + |
| 263 | + g1_mulAccC(_pVk, IC12x, IC12y, calldataload(add(pubSignals, 352))) |
| 264 | + |
| 265 | + g1_mulAccC(_pVk, IC13x, IC13y, calldataload(add(pubSignals, 384))) |
| 266 | + |
| 267 | + g1_mulAccC(_pVk, IC14x, IC14y, calldataload(add(pubSignals, 416))) |
| 268 | + |
| 269 | + g1_mulAccC(_pVk, IC15x, IC15y, calldataload(add(pubSignals, 448))) |
| 270 | + |
| 271 | + g1_mulAccC(_pVk, IC16x, IC16y, calldataload(add(pubSignals, 480))) |
| 272 | + |
| 273 | + g1_mulAccC(_pVk, IC17x, IC17y, calldataload(add(pubSignals, 512))) |
| 274 | + |
| 275 | + g1_mulAccC(_pVk, IC18x, IC18y, calldataload(add(pubSignals, 544))) |
| 276 | + |
| 277 | + g1_mulAccC(_pVk, IC19x, IC19y, calldataload(add(pubSignals, 576))) |
| 278 | + |
| 279 | + g1_mulAccC(_pVk, IC20x, IC20y, calldataload(add(pubSignals, 608))) |
| 280 | + |
| 281 | + g1_mulAccC(_pVk, IC21x, IC21y, calldataload(add(pubSignals, 640))) |
| 282 | + |
| 283 | + g1_mulAccC(_pVk, IC22x, IC22y, calldataload(add(pubSignals, 672))) |
| 284 | + |
| 285 | + g1_mulAccC(_pVk, IC23x, IC23y, calldataload(add(pubSignals, 704))) |
| 286 | + |
| 287 | + // -A |
| 288 | + mstore(_pPairing, calldataload(pA)) |
| 289 | + mstore(add(_pPairing, 32), mod(sub(q, calldataload(add(pA, 32))), q)) |
| 290 | + |
| 291 | + // B |
| 292 | + mstore(add(_pPairing, 64), calldataload(pB)) |
| 293 | + mstore(add(_pPairing, 96), calldataload(add(pB, 32))) |
| 294 | + mstore(add(_pPairing, 128), calldataload(add(pB, 64))) |
| 295 | + mstore(add(_pPairing, 160), calldataload(add(pB, 96))) |
| 296 | + |
| 297 | + // alpha1 |
| 298 | + mstore(add(_pPairing, 192), alphax) |
| 299 | + mstore(add(_pPairing, 224), alphay) |
| 300 | + |
| 301 | + // beta2 |
| 302 | + mstore(add(_pPairing, 256), betax1) |
| 303 | + mstore(add(_pPairing, 288), betax2) |
| 304 | + mstore(add(_pPairing, 320), betay1) |
| 305 | + mstore(add(_pPairing, 352), betay2) |
| 306 | + |
| 307 | + // vk_x |
| 308 | + mstore(add(_pPairing, 384), mload(add(pMem, pVk))) |
| 309 | + mstore(add(_pPairing, 416), mload(add(pMem, add(pVk, 32)))) |
| 310 | + |
| 311 | + // gamma2 |
| 312 | + mstore(add(_pPairing, 448), gammax1) |
| 313 | + mstore(add(_pPairing, 480), gammax2) |
| 314 | + mstore(add(_pPairing, 512), gammay1) |
| 315 | + mstore(add(_pPairing, 544), gammay2) |
| 316 | + |
| 317 | + // C |
| 318 | + mstore(add(_pPairing, 576), calldataload(pC)) |
| 319 | + mstore(add(_pPairing, 608), calldataload(add(pC, 32))) |
| 320 | + |
| 321 | + // delta2 |
| 322 | + mstore(add(_pPairing, 640), deltax1) |
| 323 | + mstore(add(_pPairing, 672), deltax2) |
| 324 | + mstore(add(_pPairing, 704), deltay1) |
| 325 | + mstore(add(_pPairing, 736), deltay2) |
| 326 | + |
| 327 | + let success := staticcall(sub(gas(), 2000), 8, _pPairing, 768, _pPairing, 0x20) |
| 328 | + |
| 329 | + isOk := and(success, mload(_pPairing)) |
| 330 | + } |
| 331 | + |
| 332 | + let pMem := mload(0x40) |
| 333 | + mstore(0x40, add(pMem, pLastMem)) |
| 334 | + |
| 335 | + // Validate that all evaluations ∈ F |
| 336 | + |
| 337 | + checkField(calldataload(add(_pubSignals, 0))) |
| 338 | + |
| 339 | + checkField(calldataload(add(_pubSignals, 32))) |
| 340 | + |
| 341 | + checkField(calldataload(add(_pubSignals, 64))) |
| 342 | + |
| 343 | + checkField(calldataload(add(_pubSignals, 96))) |
| 344 | + |
| 345 | + checkField(calldataload(add(_pubSignals, 128))) |
| 346 | + |
| 347 | + checkField(calldataload(add(_pubSignals, 160))) |
| 348 | + |
| 349 | + checkField(calldataload(add(_pubSignals, 192))) |
| 350 | + |
| 351 | + checkField(calldataload(add(_pubSignals, 224))) |
| 352 | + |
| 353 | + checkField(calldataload(add(_pubSignals, 256))) |
| 354 | + |
| 355 | + checkField(calldataload(add(_pubSignals, 288))) |
| 356 | + |
| 357 | + checkField(calldataload(add(_pubSignals, 320))) |
| 358 | + |
| 359 | + checkField(calldataload(add(_pubSignals, 352))) |
| 360 | + |
| 361 | + checkField(calldataload(add(_pubSignals, 384))) |
| 362 | + |
| 363 | + checkField(calldataload(add(_pubSignals, 416))) |
| 364 | + |
| 365 | + checkField(calldataload(add(_pubSignals, 448))) |
| 366 | + |
| 367 | + checkField(calldataload(add(_pubSignals, 480))) |
| 368 | + |
| 369 | + checkField(calldataload(add(_pubSignals, 512))) |
| 370 | + |
| 371 | + checkField(calldataload(add(_pubSignals, 544))) |
| 372 | + |
| 373 | + checkField(calldataload(add(_pubSignals, 576))) |
| 374 | + |
| 375 | + checkField(calldataload(add(_pubSignals, 608))) |
| 376 | + |
| 377 | + checkField(calldataload(add(_pubSignals, 640))) |
| 378 | + |
| 379 | + checkField(calldataload(add(_pubSignals, 672))) |
| 380 | + |
| 381 | + checkField(calldataload(add(_pubSignals, 704))) |
| 382 | + |
| 383 | + checkField(calldataload(add(_pubSignals, 736))) |
| 384 | + |
| 385 | + // Validate all evaluations |
| 386 | + let isValid := checkPairing(_pA, _pB, _pC, _pubSignals, pMem) |
| 387 | + |
| 388 | + mstore(0, isValid) |
| 389 | + return(0, 0x20) |
| 390 | + } |
| 391 | + } |
| 392 | +} |
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