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Utils.json
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{
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"source": "// SPDX-License-Identifier: MIT\npragma solidity ^0.6.0;\npragma experimental ABIEncoderV2;\n\nlibrary Utils {\n\n uint256 constant GROUP_ORDER = 0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001;\n uint256 constant FIELD_ORDER = 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47;\n\n function gAdd(uint256 x, uint256 y) internal pure returns (uint256) {\n return addmod(x, y, GROUP_ORDER);\n }\n\n function gMul(uint256 x, uint256 y) internal pure returns (uint256) {\n return mulmod(x, y, GROUP_ORDER);\n }\n\n function gInv(uint256 x) internal view returns (uint256) {\n return gExp(x, GROUP_ORDER - 2);\n }\n\n function gMod(uint256 x) internal pure returns (uint256) {\n return x % GROUP_ORDER;\n }\n\n function gSub(uint256 x, uint256 y) internal pure returns (uint256) {\n return x >= y ? x - y : GROUP_ORDER - y + x;\n }\n\n function gNeg(uint256 x) internal pure returns (uint256) {\n return GROUP_ORDER - x;\n }\n\n function gExp(uint256 base, uint256 exponent) internal view returns (uint256 output) {\n uint256 order = GROUP_ORDER;\n assembly {\n let m := mload(0x40)\n mstore(m, 0x20)\n mstore(add(m, 0x20), 0x20)\n mstore(add(m, 0x40), 0x20)\n mstore(add(m, 0x60), base)\n mstore(add(m, 0x80), exponent)\n mstore(add(m, 0xa0), order)\n if iszero(staticcall(gas(), 0x05, m, 0xc0, m, 0x20)) { // staticcall or call?\n revert(0, 0)\n }\n output := mload(m)\n }\n }\n\n function fieldExp(uint256 base, uint256 exponent) internal view returns (uint256 output) { // warning: mod p, not q\n uint256 order = FIELD_ORDER;\n assembly {\n let m := mload(0x40)\n mstore(m, 0x20)\n mstore(add(m, 0x20), 0x20)\n mstore(add(m, 0x40), 0x20)\n mstore(add(m, 0x60), base)\n mstore(add(m, 0x80), exponent)\n mstore(add(m, 0xa0), order)\n if iszero(staticcall(gas(), 0x05, m, 0xc0, m, 0x20)) { // staticcall or call?\n revert(0, 0)\n }\n output := mload(m)\n }\n }\n\n struct G1Point {\n bytes32 x;\n bytes32 y;\n }\n\n function pAdd(G1Point memory p1, G1Point memory p2) internal view returns (G1Point memory r) {\n assembly {\n let m := mload(0x40)\n mstore(m, mload(p1))\n mstore(add(m, 0x20), mload(add(p1, 0x20)))\n mstore(add(m, 0x40), mload(p2))\n mstore(add(m, 0x60), mload(add(p2, 0x20)))\n // Address of the desired EC ADD instruction: 0x06\n // Reference: https://eips.ethereum.org/EIPS/eip-196#implementation\n if iszero(staticcall(gas(), 0x06, m, 0x80, r, 0x40)) {\n revert(0, 0)\n }\n }\n }\n\n function pMul(G1Point memory p, uint256 s) internal view returns (G1Point memory r) {\n assembly {\n let m := mload(0x40)\n mstore(m, mload(p))\n mstore(add(m, 0x20), mload(add(p, 0x20)))\n mstore(add(m, 0x40), s)\n // Address of the desired EC MUL instruction: 0x07\n // Reference: https://eips.ethereum.org/EIPS/eip-196#implementation\n if iszero(staticcall(gas(), 0x07, m, 0x60, r, 0x40)) {\n revert(0, 0)\n }\n }\n }\n\n function pNeg(G1Point memory p) internal pure returns (G1Point memory) {\n return G1Point(p.x, bytes32(FIELD_ORDER - uint256(p.y))); // p.y should already be reduced mod P?\n }\n\n function pEqual(G1Point memory p1, G1Point memory p2) internal pure returns (bool) {\n return p1.x == p2.x && p1.y == p2.y;\n }\n\n function g() internal pure returns (G1Point memory) {\n return G1Point(0x077da99d806abd13c9f15ece5398525119d11e11e9836b2ee7d23f6159ad87d4, 0x01485efa927f2ad41bff567eec88f32fb0a0f706588b4e41a8d587d008b7f875);\n }\n\n function h() internal pure returns (G1Point memory) {\n return G1Point(0x01b7de3dcf359928dd19f643d54dc487478b68a5b2634f9f1903c9fb78331aef, 0x2bda7d3ae6a557c716477c108be0d0f94abc6c4dc6b1bd93caccbcceaaa71d6b);\n }\n\n function mapInto(uint256 seed) internal view returns (G1Point memory) {\n uint256 y;\n while (true) {\n uint256 ySquared = fieldExp(seed, 3) + 3; // addmod instead of add: waste of gas, plus function overhead cost\n y = fieldExp(ySquared, (FIELD_ORDER + 1) / 4);\n if (fieldExp(y, 2) == ySquared) {\n break;\n }\n seed += 1;\n }\n return G1Point(bytes32(seed), bytes32(y));\n }\n\n function mapInto(string memory input) internal view returns (G1Point memory) {\n return mapInto(uint256(keccak256(abi.encodePacked(input))) % FIELD_ORDER);\n }\n\n function mapInto(string memory input, uint256 i) internal view returns (G1Point memory) {\n return mapInto(uint256(keccak256(abi.encodePacked(input, i))) % FIELD_ORDER);\n }\n\n function slice(bytes memory input, uint256 start) internal pure returns (bytes32 result) {\n assembly {\n let m := mload(0x40)\n mstore(m, mload(add(add(input, 0x20), start))) // why only 0x20?\n result := mload(m)\n }\n }\n\n function uint2str(uint _i) internal pure returns (string memory _uintAsString) {\n if (_i == 0) {\n return \"0\";\n }\n uint j = _i;\n uint len;\n while (j != 0) {\n len++;\n j /= 10;\n }\n bytes memory bstr = new bytes(len);\n uint k = len - 1;\n while (_i != 0) {\n bstr[k--] = byte(uint8(48 + _i % 10));\n _i /= 10;\n }\n return string(bstr);\n }\n}\n\n",
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