diff --git a/404.html b/404.html index 9d8517b..74f21cb 100644 --- a/404.html +++ b/404.html @@ -90,7 +90,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 diff --git a/index.html b/index.html index a49d574..0e67d11 100644 --- a/index.html +++ b/index.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 diff --git a/print.html b/print.html index 5bb050a..5c74cf2 100644 --- a/print.html +++ b/print.html @@ -90,7 +90,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -373,12 +373,12 @@ Acknowledge Contents ECDSA -pModInv nModInv +pModInv secp256r1 constants ECDSA -Git Source +Git Source Library for handling Elliptic Curve Digital Signature Algorithm (ECDSA) operations on a compatible curve Functions zz2Aff @@ -494,11 +494,11 @@ affAdd x2uint256The X-coordinate of the resulting point y2uint256The Y-coordinate of the resulting point -pModInv -Git Source -Calculate the modular inverse of a given integer, which is the inverse of this integer modulo p. +nModInv +Git Source +Calculate the modular inverse of a given integer, which is the inverse of this integer modulo n. Uses the ModExp precompiled contract at address 0x05 for fast computation using little Fermat theorem -function pModInv(uint256 self) returns (uint256 result); +function nModInv(uint256 self) returns (uint256 result); Parameters NameTypeDescription @@ -509,11 +509,11 @@ affAdd NameTypeDescription resultuint256The modular inverse of the input integer. If the modular inverse doesn't exist, it revert the tx -nModInv -Git Source -Calculate the modular inverse of a given integer, which is the inverse of this integer modulo n. +pModInv +Git Source +Calculate the modular inverse of a given integer, which is the inverse of this integer modulo p. Uses the ModExp precompiled contract at address 0x05 for fast computation using little Fermat theorem -function nModInv(uint256 self) returns (uint256 result); +function pModInv(uint256 self) returns (uint256 result); Parameters NameTypeDescription @@ -525,7 +525,7 @@ affAdd resultuint256The modular inverse of the input integer. If the modular inverse doesn't exist, it revert the tx Constants -Git Source +Git Source p uint256 constant p = 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF; @@ -557,7 +557,7 @@ MODEXP_PR address constant MODEXP_PRECOMPILE = 0x0000000000000000000000000000000000000005; ECDSA256r1 -Git Source +Git Source A library to verify ECDSA signatures made on the secp256r1 curve This is the easiest library to deal with but also the most expensive in terms of gas cost. Indeed, this library must calculate multiple points on the curve in order to verify the signature. 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This repository is deprecated. Please refer to the crypto-lib repository to find the latest implementation of the secp256r1 curve. Open in Github Github Actions Github Actions Github Actions Github Actions Foundry License: MIT Is it audited?","breadcrumbs":"Home » secp256r1 verify","id":"0","title":"secp256r1 verify"},"1":{"body":"secp256r1-verify is a specialized Solidity library that enables on-chain ECDSA signature verification on the secp256r1 curve with notable efficiency. This repository is a simple implementation for signature verification. It sets a vital foundation for the widespread application of FIDO2's Webauthn, serving as an authentication protocol for smart accounts. If you are looking for an alternative implementation, such as the ones based on the *codedopy opcodes, check out Renaud Dubois' FreshCryptoLib repository.","breadcrumbs":"Home » Description","id":"1","title":"Description"},"10":{"body":"To contribute to the project, you must have Foundry and Node.js installed on your system. 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These tools are automatically run by the GitHub Actions on every push to the main branch and on every pull request targeting this branch. They are also automatically run by the git hook on every push to a remote repository if you have installed it ( refer to the Git hooks section ). Alternatively, you can run them locally by executing the following command in the project directory: make lint # run the linter\nmake format # run the formatter\nmake quality # run both ℹ️ By adding the sufix -fix the linter and the formatter will try to fix the issues automatically.","breadcrumbs":"Home » Quality","id":"15","title":"Quality"},"16":{"body":"Special thanks to rdubois-crypto for developing the reference implementation here and for the invaluable cryptographic guidance. The implementation, and more precisely, all the ingenious mathematical tricks you can discover in this repository, are from his mind. My role here was to clean up his work to improve the chances of accepting contributions. 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This repository is deprecated. Please refer to the crypto-lib repository to find the latest implementation of the secp256r1 curve. Open in Github Github Actions Github Actions Github Actions Github Actions Foundry License: MIT Is it audited?","breadcrumbs":"Home » secp256r1 verify","id":"0","title":"secp256r1 verify"},"1":{"body":"secp256r1-verify is a specialized Solidity library that enables on-chain ECDSA signature verification on the secp256r1 curve with notable efficiency. This repository is a simple implementation for signature verification. It sets a vital foundation for the widespread application of FIDO2's Webauthn, serving as an authentication protocol for smart accounts. If you are looking for an alternative implementation, such as the ones based on the *codedopy opcodes, check out Renaud Dubois' FreshCryptoLib repository.","breadcrumbs":"Home » Description","id":"1","title":"Description"},"10":{"body":"To contribute to the project, you must have Foundry and Node.js installed on your system. 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This repository is deprecated. Please refer to the crypto-lib repository to find the latest implementation of the secp256r1 curve. Open in Github Github Actions Github Actions Github Actions Github Actions Foundry License: MIT Is it audited?","breadcrumbs":"Home » secp256r1 verify","id":"0","title":"secp256r1 verify"},"1":{"body":"secp256r1-verify is a specialized Solidity library that enables on-chain ECDSA signature verification on the secp256r1 curve with notable efficiency. This repository is a simple implementation for signature verification. It sets a vital foundation for the widespread application of FIDO2's Webauthn, serving as an authentication protocol for smart accounts. If you are looking for an alternative implementation, such as the ones based on the *codedopy opcodes, check out Renaud Dubois' FreshCryptoLib repository.","breadcrumbs":"Home » Description","id":"1","title":"Description"},"10":{"body":"To contribute to the project, you must have Foundry and Node.js installed on your system. 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This repository is deprecated. Please refer to the crypto-lib repository to find the latest implementation of the secp256r1 curve. Open in Github Github Actions Github Actions Github Actions Github Actions Foundry License: MIT Is it audited?","breadcrumbs":"Home » secp256r1 verify","id":"0","title":"secp256r1 verify"},"1":{"body":"secp256r1-verify is a specialized Solidity library that enables on-chain ECDSA signature verification on the secp256r1 curve with notable efficiency. This repository is a simple implementation for signature verification. It sets a vital foundation for the widespread application of FIDO2's Webauthn, serving as an authentication protocol for smart accounts. If you are looking for an alternative implementation, such as the ones based on the *codedopy opcodes, check out Renaud Dubois' FreshCryptoLib repository.","breadcrumbs":"Home » Description","id":"1","title":"Description"},"10":{"body":"To contribute to the project, you must have Foundry and Node.js installed on your system. 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To bypass Lefthook when pushing code, use the following command: git push origin --no-verify","breadcrumbs":"Home » Git hooks","id":"12","title":"Git hooks"},"13":{"body":"","breadcrumbs":"Home » Testing","id":"13","title":"Testing"},"14":{"body":"The unit tests are stored in the test directory. They test individual functions of the package in isolation. These tests are automatically run by GitHub Actions with every push to the main branch and on every pull request targeting this branch. They are also automatically run by the git hook on every push to a remote repository if you have installed it ( refer to the Git hooks section ). Alternatively, you can run them locally by executing the following command in the project directory: make test ℹ️ By adding the sufix -v the test command will run in verbose mode, displaying valuable output for debugging. For your information, these tests are written using forge , and some employ the property-based testing pattern (fuzzing) to generate random inputs for the functions under test. Additionally, some test fixtures have been generated using Google's wycheproof project, which tests crypto libraries against known attacks. These fixtures are located in the fixtures directory. The tests use two different cheatcodes you should be aware of: vm.readFile: This cheatcode lets us read the fixtures data from the test/fixtures directory. This means that every time you run the test suite, the fixtures are read from the disk, eliminating the need to copy/paste the fixtures into the test files. However, if you modify a fixture, you need to rerun the tests to see the changes. More information is available here . vm.ffi: This cheatcode allows us to execute an arbitrary command during the test suite. This cheatcode is not enabled by default when creating a new foundry project, but in our case, it's enabled in our configuration ( foundry configuration ) for all tests. This cheatcode is used to run the computation library that calculates 256 points on the secp256r1 elliptic curve from a public key. This is required for the variants that need these points to be deployed on-chain. Therefore, even if it's not explicit, every time you run the test suite, a Node.js script is executed multiple times. You can learn more about the library we use here . 📖 Cheatcodes are special instructions exposed by Foundry to enhance the developer experience. Learn more about them here . 💡 Run make to learn how to run the test in verbose mode, or to display the coverage or the gas consumption.","breadcrumbs":"Home » Unit tests","id":"14","title":"Unit tests"},"15":{"body":"This repository uses forge-fmt, solhint and prettier to enforce code quality. These tools are automatically run by the GitHub Actions on every push to the main branch and on every pull request targeting this branch. They are also automatically run by the git hook on every push to a remote repository if you have installed it ( refer to the Git hooks section ). Alternatively, you can run them locally by executing the following command in the project directory: make lint # run the linter\nmake format # run the formatter\nmake quality # run both ℹ️ By adding the sufix -fix the linter and the formatter will try to fix the issues automatically.","breadcrumbs":"Home » Quality","id":"15","title":"Quality"},"16":{"body":"Special thanks to rdubois-crypto for developing the reference implementation here and for the invaluable cryptographic guidance. The implementation, and more precisely, all the ingenious mathematical tricks you can discover in this repository, are from his mind. My role here was to clean up his work to improve the chances of accepting contributions. All credit goes to him. If you want to learn more about the math behind this project, check out this publication written by rdubois-crypto .","breadcrumbs":"Home » Acknowledgements","id":"16","title":"Acknowledgements"},"17":{"body":"ECDSA nModInv pModInv secp256r1 constants","breadcrumbs":"❱ utils » Contents","id":"17","title":"Contents"},"18":{"body":"Git Source Library for handling Elliptic Curve Digital Signature Algorithm (ECDSA) operations on a compatible curve","breadcrumbs":"❱ utils » ECDSA » ECDSA","id":"18","title":"ECDSA"},"19":{"body":"","breadcrumbs":"❱ utils » ECDSA » Functions","id":"19","title":"Functions"},"2":{"body":"","breadcrumbs":"Home » Installation","id":"2","title":"Installation"},"20":{"body":"Convert from XYZZ coordinates to affine coordinates Learn more about the XYZZ representation here: https://hyperelliptic.org/EFD/g1p/auto-shortw-xyzz-3.html#addition-add-2008-s* function zz2Aff(uint256 x, uint256 y, uint256 zz, uint256 zzz) internal returns (uint256 x1, uint256 y1); Parameters Name Type Description x uint256 The X-coordinate of the point in XYZZ representation y uint256 The Y-coordinate of the point in XYZZ representation zz uint256 The ZZ value of the point in XYZZ representation zzz uint256 The ZZZ value of the point in XYZZ representation Returns Name Type Description x1 uint256 The X-coordinate of the point in affine representation y1 uint256 The Y-coordinate of the point in affine representation","breadcrumbs":"❱ utils » ECDSA » zz2Aff","id":"20","title":"zz2Aff"},"21":{"body":"Adds a point in XYZZ coordinates to a point in affine coordinates function zzAddN( uint256 x1, uint256 y1, uint256 zz1, uint256 zzz1, uint256 x2, uint256 y2\n) internal pure returns (uint256 P0, uint256 P1, uint256 P2, uint256 P3); Parameters Name Type Description x1 uint256 The X-coordinate of the first point y1 uint256 The Y-coordinate of the first point zz1 uint256 The ZZ value of the first point zzz1 uint256 The ZZZ value of the first point x2 uint256 The X-coordinate of the second point y2 uint256 The Y-coordinate of the second point Returns Name Type Description P0 uint256 The X-coordinate of the resulting point P1 uint256 The Y-coordinate of the resulting point P2 uint256 The ZZ value of the resulting point P3 uint256 The ZZZ value of the resulting point","breadcrumbs":"❱ utils » ECDSA » zzAddN","id":"21","title":"zzAddN"},"22":{"body":"Performs point doubling operation in XYZZ coordinates on an elliptic curve This implements the \"dbl-2008-s-1\" doubling formulas from Sutherland's 2008 paper function zzDouble( uint256 x, uint256 y, uint256 zz, uint256 zzz\n) internal pure returns (uint256 P0, uint256 P1, uint256 P2, uint256 P3); Parameters Name Type Description x uint256 The X-coordinate of the point y uint256 The Y-coordinate of the point zz uint256 The ZZ value of the point zzz uint256 The ZZZ value of the point Returns Name Type Description P0 uint256 The X-coordinate of the resulting point after doubling P1 uint256 The Y-coordinate of the resulting point after doubling P2 uint256 The ZZ value of the resulting point after doubling P3 uint256 The ZZZ value of the resulting point after doubling","breadcrumbs":"❱ utils » ECDSA » zzDouble","id":"22","title":"zzDouble"},"23":{"body":"Check if a point in affine coordinates is on the curve function affIsOnCurve(uint256 x, uint256 y) internal pure returns (bool); Parameters Name Type Description x uint256 The X-coordinate of the point y uint256 The Y-coordinate of the point Returns Name Type Description bool bool True if the point is on the curve, false otherwise","breadcrumbs":"❱ utils » ECDSA » affIsOnCurve","id":"23","title":"affIsOnCurve"},"24":{"body":"Add two points on the elliptic curve in affine coordinates function affAdd(uint256 x0, uint256 y0, uint256 x1, uint256 y1) internal returns (uint256 x2, uint256 y2); Parameters Name Type Description x0 uint256 The X-coordinate of the first point y0 uint256 The Y-coordinate of the first point x1 uint256 The X-coordinate of the second point y1 uint256 The Y-coordinate of the second point Returns Name Type Description x2 uint256 The X-coordinate of the resulting point y2 uint256 The Y-coordinate of the resulting point","breadcrumbs":"❱ utils » ECDSA » affAdd","id":"24","title":"affAdd"},"25":{"body":"Git Source Calculate the modular inverse of a given integer, which is the inverse of this integer modulo n. Uses the ModExp precompiled contract at address 0x05 for fast computation using little Fermat theorem function nModInv(uint256 self) returns (uint256 result); Parameters Name Type Description self uint256 The integer of which to find the modular inverse Returns Name Type Description result uint256 The modular inverse of the input integer. If the modular inverse doesn't exist, it revert the tx","breadcrumbs":"❱ utils » nModInv » nModInv","id":"25","title":"nModInv"},"26":{"body":"Git Source Calculate the modular inverse of a given integer, which is the inverse of this integer modulo p. Uses the ModExp precompiled contract at address 0x05 for fast computation using little Fermat theorem function pModInv(uint256 self) returns (uint256 result); Parameters Name Type Description self uint256 The integer of which to find the modular inverse Returns Name Type Description result uint256 The modular inverse of the input integer. If the modular inverse doesn't exist, it revert the tx","breadcrumbs":"❱ utils » pModInv » pModInv","id":"26","title":"pModInv"},"27":{"body":"Git Source","breadcrumbs":"❱ utils » secp256r1 constants » Constants","id":"27","title":"Constants"},"28":{"body":"uint256 constant p = 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF;","breadcrumbs":"❱ utils » secp256r1 constants » p","id":"28","title":"p"},"29":{"body":"uint256 constant a = 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC;","breadcrumbs":"❱ utils » secp256r1 constants » a","id":"29","title":"a"},"3":{"body":"To install the secp256r1-verify package in a Foundry project, execute the following command: forge install https://github.com/get-smooth/secp256r1-verify This command will install the latest version of the package in your lib directory. To install a specific version of the library, follow the instructions in the official Foundry documentation .","breadcrumbs":"Home » Foundry","id":"3","title":"Foundry"},"30":{"body":"uint256 constant b = 0x5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B;","breadcrumbs":"❱ utils » secp256r1 constants » b","id":"30","title":"b"},"31":{"body":"uint256 constant gx = 0x6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296;","breadcrumbs":"❱ utils » secp256r1 constants » gx","id":"31","title":"gx"},"32":{"body":"uint256 constant gy = 0x4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5;","breadcrumbs":"❱ utils » secp256r1 constants » gy","id":"32","title":"gy"},"33":{"body":"uint256 constant n = 0xFFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551;","breadcrumbs":"❱ utils » secp256r1 constants » n","id":"33","title":"n"},"34":{"body":"uint256 constant MINUS_2 = 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFD;","breadcrumbs":"❱ utils » secp256r1 constants » MINUS_2","id":"34","title":"MINUS_2"},"35":{"body":"uint256 constant MINUS_2MODN = 0xFFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC63254F;","breadcrumbs":"❱ utils » secp256r1 constants » MINUS_2MODN","id":"35","title":"MINUS_2MODN"},"36":{"body":"uint256 constant MINUS_1 = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;","breadcrumbs":"❱ utils » secp256r1 constants » MINUS_1","id":"36","title":"MINUS_1"},"37":{"body":"address constant MODEXP_PRECOMPILE = 0x0000000000000000000000000000000000000005;","breadcrumbs":"❱ utils » secp256r1 constants » MODEXP_PRECOMPILE","id":"37","title":"MODEXP_PRECOMPILE"},"38":{"body":"Git Source A library to verify ECDSA signatures made on the secp256r1 curve This is the easiest library to deal with but also the most expensive in terms of gas cost. Indeed, this library must calculate multiple points on the curve in order to verify the signature. Use it kmowingly.","breadcrumbs":"ECDSA256r1 » ECDSA256r1","id":"38","title":"ECDSA256r1"},"39":{"body":"","breadcrumbs":"ECDSA256r1 » Functions","id":"39","title":"Functions"},"4":{"body":"To install the secp256r1-verify package in a Hardhat or Truffle project, use npm to run the following command: npm install @smoo.th/secp256r1-verify After the installation, import the package into your project and use it.","breadcrumbs":"Home » Hardhat or Truffle","id":"4","title":"Hardhat or Truffle"},"40":{"body":"Verifies that a point is on the secp256r1 curve function isPointValid(uint256 x, uint256 y) internal pure returns (bool); Parameters Name Type Description x uint256 The x-coordinate of the point y uint256 The y-coordinate of the point Returns Name Type Description bool bool True if the point is on the curve, false otherwise","breadcrumbs":"ECDSA256r1 » isPointValid","id":"40","title":"isPointValid"},"41":{"body":"and Q is the public key. function mulmuladd(uint256 Q0, uint256 Q1, uint256 scalar_u, uint256 scalar_v) internal returns (uint256 X); Parameters Name Type Description Q0 uint256 x-coordinate of the input point Q Q1 uint256 y-coordinate of the input point Q scalar_u uint256 Multiplier for basepoint G scalar_v uint256 Multiplier for input point Q Returns Name Type Description X uint256 Resulting x-coordinate of the computed point","breadcrumbs":"ECDSA256r1 » mulmuladd","id":"41","title":"mulmuladd"},"42":{"body":"Verifies an ECDSA signature on the secp256r1 curve given the message, signature, and public key. This function is the only one exposed by the library Note the required interactions with the precompled contract can revert the transaction function verify(bytes32 message, uint256 r, uint256 s, uint256 qx, uint256 qy) internal returns (bool); Parameters Name Type Description message bytes32 The original message that was signed r uint256 uint256 The r value of the ECDSA signature. s uint256 uint256 The s value of the ECDSA signature. qx uint256 The x value of the public key used for the signature qy uint256 The y value of the public key used for the signature Returns Name Type Description bool bool True if the signature is valid, false otherwise","breadcrumbs":"ECDSA256r1 » verify","id":"42","title":"verify"},"5":{"body":"This repository provides a unique verification implementation. After you've integrated this library into your project, you can freely import the ECDSA256r1 and use it. 🚨 The implementations have not been audited. DO NOT USE IT IN PRODUCTION.","breadcrumbs":"Home » Usage","id":"5","title":"Usage"},"6":{"body":"The traditional approach is the implementation present in this repository. You can take a look to it here: ECDSA256r1 file . This implementation is ready to use right out of the box; simply deploy the library and interact with it by calling its singular exposed function, verify, which accepts three parameters: bytes32 messageHash: The hash of the message to verify uint256[2] calldata rs: The r and s values of the ECDSA signature uint256[2] calldata point: The public key point of the signer This approach computes uG + vQ using the Strauss-Shamir's trick on the secp256r1 elliptic curve on-chain , where G is the base point and Q is the public key.","breadcrumbs":"Home » 1️⃣ The traditional implementation","id":"6","title":"1️⃣ The traditional implementation"},"7":{"body":"This repository includes a script directory containing a set of scripts that can be used to deploy the different implementations on-chain. Each script contains a set of instructions and an example of how to use it. The scripts are expected to be run using the forge script command.","breadcrumbs":"Home » Scripts","id":"7","title":"Scripts"},"8":{"body":"These gas reports were produced using the 0.8.19 version of the Solidity compiler (with 100k optimizer runs), specifically for the 0.4.1 version of the library. The library version corresponds to commit 4d0716f . ℹ️ If you import the library into your project, we strongly recommend you to enable the optimizer with 100k in order to have the best gas consumption.","breadcrumbs":"Home » Gas reports","id":"8","title":"Gas reports"},"9":{"body":"Deployment Cost Deployment Size 1002641 5040 Function Name min avg median max verify 192620 202959 202905 210079","breadcrumbs":"Home » The traditional implementation 🔗","id":"9","title":"The traditional implementation 🔗"}},"docInfo":{"0":{"body":26,"breadcrumbs":3,"title":2},"1":{"body":45,"breadcrumbs":2,"title":1},"10":{"body":169,"breadcrumbs":2,"title":1},"11":{"body":82,"breadcrumbs":3,"title":2},"12":{"body":91,"breadcrumbs":3,"title":2},"13":{"body":0,"breadcrumbs":2,"title":1},"14":{"body":212,"breadcrumbs":3,"title":2},"15":{"body":62,"breadcrumbs":2,"title":1},"16":{"body":43,"breadcrumbs":2,"title":1},"17":{"body":5,"breadcrumbs":2,"title":1},"18":{"body":13,"breadcrumbs":3,"title":1},"19":{"body":0,"breadcrumbs":3,"title":1},"2":{"body":0,"breadcrumbs":2,"title":1},"20":{"body":82,"breadcrumbs":3,"title":1},"21":{"body":100,"breadcrumbs":3,"title":1},"22":{"body":95,"breadcrumbs":3,"title":1},"23":{"body":40,"breadcrumbs":3,"title":1},"24":{"body":66,"breadcrumbs":3,"title":1},"25":{"body":55,"breadcrumbs":3,"title":1},"26":{"body":55,"breadcrumbs":3,"title":1},"27":{"body":2,"breadcrumbs":4,"title":1},"28":{"body":4,"breadcrumbs":4,"title":1},"29":{"body":3,"breadcrumbs":3,"title":0},"3":{"body":30,"breadcrumbs":2,"title":1},"30":{"body":4,"breadcrumbs":4,"title":1},"31":{"body":4,"breadcrumbs":4,"title":1},"32":{"body":4,"breadcrumbs":4,"title":1},"33":{"body":4,"breadcrumbs":4,"title":1},"34":{"body":4,"breadcrumbs":4,"title":1},"35":{"body":4,"breadcrumbs":4,"title":1},"36":{"body":4,"breadcrumbs":4,"title":1},"37":{"body":4,"breadcrumbs":4,"title":1},"38":{"body":27,"breadcrumbs":2,"title":1},"39":{"body":0,"breadcrumbs":2,"title":1},"4":{"body":21,"breadcrumbs":3,"title":2},"40":{"body":39,"breadcrumbs":2,"title":1},"41":{"body":56,"breadcrumbs":2,"title":1},"42":{"body":86,"breadcrumbs":2,"title":1},"5":{"body":17,"breadcrumbs":2,"title":1},"6":{"body":66,"breadcrumbs":4,"title":3},"7":{"body":26,"breadcrumbs":2,"title":1},"8":{"body":32,"breadcrumbs":3,"title":2},"9":{"body":17,"breadcrumbs":3,"title":2}},"length":43},"lang":"English"}} \ No newline at end of file diff --git a/src/ECDSA256r1.sol/library.ECDSA256r1.html b/src/ECDSA256r1.sol/library.ECDSA256r1.html index b4f3f35..6f6a90f 100644 --- a/src/ECDSA256r1.sol/library.ECDSA256r1.html +++ b/src/ECDSA256r1.sol/library.ECDSA256r1.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -178,7 +178,7 @@ ECDSA256r1 -Git Source +Git Source A library to verify ECDSA signatures made on the secp256r1 curve This is the easiest library to deal with but also the most expensive in terms of gas cost. Indeed, this library must calculate multiple points on the curve in order to verify the signature. Use it kmowingly. diff --git a/src/utils/ECDSA.sol/library.ECDSA.html b/src/utils/ECDSA.sol/library.ECDSA.html index 00a0edf..74f53f7 100644 --- a/src/utils/ECDSA.sol/library.ECDSA.html +++ b/src/utils/ECDSA.sol/library.ECDSA.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -178,7 +178,7 @@ ECDSA -Git Source +Git Source Library for handling Elliptic Curve Digital Signature Algorithm (ECDSA) operations on a compatible curve Functions zz2Aff @@ -303,7 +303,7 @@ affAdd - + @@ -317,7 +317,7 @@ affAdd - + diff --git a/src/utils/index.html b/src/utils/index.html index 2b61f65..53481f6 100644 --- a/src/utils/index.html +++ b/src/utils/index.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -180,8 +180,8 @@ Contents ECDSA -pModInv nModInv +pModInv secp256r1 constants diff --git a/src/utils/secp256r1.sol/constants.secp256r1.html b/src/utils/secp256r1.sol/constants.secp256r1.html index b85e6ed..fb04199 100644 --- a/src/utils/secp256r1.sol/constants.secp256r1.html +++ b/src/utils/secp256r1.sol/constants.secp256r1.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -178,7 +178,7 @@ Constants -Git Source +Git Source p uint256 constant p = 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF; @@ -214,7 +214,7 @@ MODEXP_PR - + @@ -228,7 +228,7 @@ MODEXP_PR - + diff --git a/src/utils/secp256r1.sol/function.nModInv.html b/src/utils/secp256r1.sol/function.nModInv.html index 0449bf3..efbf9a7 100644 --- a/src/utils/secp256r1.sol/function.nModInv.html +++ b/src/utils/secp256r1.sol/function.nModInv.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -178,7 +178,7 @@ nModInv -Git Source +Git Source Calculate the modular inverse of a given integer, which is the inverse of this integer modulo n. Uses the ModExp precompiled contract at address 0x05 for fast computation using little Fermat theorem function nModInv(uint256 self) returns (uint256 result); @@ -197,11 +197,11 @@ nModInv - + - + @@ -211,11 +211,11 @@ nModInv - + - + diff --git a/src/utils/secp256r1.sol/function.pModInv.html b/src/utils/secp256r1.sol/function.pModInv.html index 50be298..14a5879 100644 --- a/src/utils/secp256r1.sol/function.pModInv.html +++ b/src/utils/secp256r1.sol/function.pModInv.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -178,7 +178,7 @@ pModInv -Git Source +Git Source Calculate the modular inverse of a given integer, which is the inverse of this integer modulo p. Uses the ModExp precompiled contract at address 0x05 for fast computation using little Fermat theorem function pModInv(uint256 self) returns (uint256 result); @@ -197,11 +197,11 @@ pModInv - + - + @@ -211,11 +211,11 @@ pModInv - + - +
Git Source
Library for handling Elliptic Curve Digital Signature Algorithm (ECDSA) operations on a compatible curve
x2
uint256
y2
Calculate the modular inverse of a given integer, which is the inverse of this integer modulo p.
Calculate the modular inverse of a given integer, which is the inverse of this integer modulo n.
Uses the ModExp precompiled contract at address 0x05 for fast computation using little Fermat theorem
function pModInv(uint256 self) returns (uint256 result); +function nModInv(uint256 self) returns (uint256 result); Parameters NameTypeDescription @@ -509,11 +509,11 @@ affAdd NameTypeDescription resultuint256The modular inverse of the input integer. If the modular inverse doesn't exist, it revert the tx -nModInv -Git Source -Calculate the modular inverse of a given integer, which is the inverse of this integer modulo n. +pModInv +Git Source +Calculate the modular inverse of a given integer, which is the inverse of this integer modulo p. Uses the ModExp precompiled contract at address 0x05 for fast computation using little Fermat theorem -function nModInv(uint256 self) returns (uint256 result); +function pModInv(uint256 self) returns (uint256 result); Parameters NameTypeDescription @@ -525,7 +525,7 @@ affAdd resultuint256The modular inverse of the input integer. If the modular inverse doesn't exist, it revert the tx Constants -Git Source +Git Source p uint256 constant p = 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF; @@ -557,7 +557,7 @@ MODEXP_PR address constant MODEXP_PRECOMPILE = 0x0000000000000000000000000000000000000005; ECDSA256r1 -Git Source +Git Source A library to verify ECDSA signatures made on the secp256r1 curve This is the easiest library to deal with but also the most expensive in terms of gas cost. Indeed, this library must calculate multiple points on the curve in order to verify the signature. Use it kmowingly. diff --git a/searchindex.js b/searchindex.js index f07e42b..0630a6b 100644 --- a/searchindex.js +++ b/searchindex.js @@ -1 +1 @@ -Object.assign(window.search, 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This repository is deprecated. Please refer to the crypto-lib repository to find the latest implementation of the secp256r1 curve. Open in Github Github Actions Github Actions Github Actions Github Actions Foundry License: MIT Is it audited?","breadcrumbs":"Home » secp256r1 verify","id":"0","title":"secp256r1 verify"},"1":{"body":"secp256r1-verify is a specialized Solidity library that enables on-chain ECDSA signature verification on the secp256r1 curve with notable efficiency. This repository is a simple implementation for signature verification. It sets a vital foundation for the widespread application of FIDO2's Webauthn, serving as an authentication protocol for smart accounts. If you are looking for an alternative implementation, such as the ones based on the *codedopy opcodes, check out Renaud Dubois' FreshCryptoLib repository.","breadcrumbs":"Home » Description","id":"1","title":"Description"},"10":{"body":"To contribute to the project, you must have Foundry and Node.js installed on your system. 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These tools are automatically run by the GitHub Actions on every push to the main branch and on every pull request targeting this branch. They are also automatically run by the git hook on every push to a remote repository if you have installed it ( refer to the Git hooks section ). Alternatively, you can run them locally by executing the following command in the project directory: make lint # run the linter\nmake format # run the formatter\nmake quality # run both ℹ️ By adding the sufix -fix the linter and the formatter will try to fix the issues automatically.","breadcrumbs":"Home » Quality","id":"15","title":"Quality"},"16":{"body":"Special thanks to rdubois-crypto for developing the reference implementation here and for the invaluable cryptographic guidance. The implementation, and more precisely, all the ingenious mathematical tricks you can discover in this repository, are from his mind. My role here was to clean up his work to improve the chances of accepting contributions. 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This repository is deprecated. Please refer to the crypto-lib repository to find the latest implementation of the secp256r1 curve. Open in Github Github Actions Github Actions Github Actions Github Actions Foundry License: MIT Is it audited?","breadcrumbs":"Home » secp256r1 verify","id":"0","title":"secp256r1 verify"},"1":{"body":"secp256r1-verify is a specialized Solidity library that enables on-chain ECDSA signature verification on the secp256r1 curve with notable efficiency. This repository is a simple implementation for signature verification. It sets a vital foundation for the widespread application of FIDO2's Webauthn, serving as an authentication protocol for smart accounts. If you are looking for an alternative implementation, such as the ones based on the *codedopy opcodes, check out Renaud Dubois' FreshCryptoLib repository.","breadcrumbs":"Home » Description","id":"1","title":"Description"},"10":{"body":"To contribute to the project, you must have Foundry and Node.js installed on your system. 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This repository is deprecated. Please refer to the crypto-lib repository to find the latest implementation of the secp256r1 curve. Open in Github Github Actions Github Actions Github Actions Github Actions Foundry License: MIT Is it audited?","breadcrumbs":"Home » secp256r1 verify","id":"0","title":"secp256r1 verify"},"1":{"body":"secp256r1-verify is a specialized Solidity library that enables on-chain ECDSA signature verification on the secp256r1 curve with notable efficiency. This repository is a simple implementation for signature verification. It sets a vital foundation for the widespread application of FIDO2's Webauthn, serving as an authentication protocol for smart accounts. If you are looking for an alternative implementation, such as the ones based on the *codedopy opcodes, check out Renaud Dubois' FreshCryptoLib repository.","breadcrumbs":"Home » Description","id":"1","title":"Description"},"10":{"body":"To contribute to the project, you must have Foundry and Node.js installed on your system. 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This repository is deprecated. Please refer to the crypto-lib repository to find the latest implementation of the secp256r1 curve. Open in Github Github Actions Github Actions Github Actions Github Actions Foundry License: MIT Is it audited?","breadcrumbs":"Home » secp256r1 verify","id":"0","title":"secp256r1 verify"},"1":{"body":"secp256r1-verify is a specialized Solidity library that enables on-chain ECDSA signature verification on the secp256r1 curve with notable efficiency. This repository is a simple implementation for signature verification. It sets a vital foundation for the widespread application of FIDO2's Webauthn, serving as an authentication protocol for smart accounts. If you are looking for an alternative implementation, such as the ones based on the *codedopy opcodes, check out Renaud Dubois' FreshCryptoLib repository.","breadcrumbs":"Home » Description","id":"1","title":"Description"},"10":{"body":"To contribute to the project, you must have Foundry and Node.js installed on your system. 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To bypass Lefthook when pushing code, use the following command: git push origin --no-verify","breadcrumbs":"Home » Git hooks","id":"12","title":"Git hooks"},"13":{"body":"","breadcrumbs":"Home » Testing","id":"13","title":"Testing"},"14":{"body":"The unit tests are stored in the test directory. They test individual functions of the package in isolation. These tests are automatically run by GitHub Actions with every push to the main branch and on every pull request targeting this branch. They are also automatically run by the git hook on every push to a remote repository if you have installed it ( refer to the Git hooks section ). Alternatively, you can run them locally by executing the following command in the project directory: make test ℹ️ By adding the sufix -v the test command will run in verbose mode, displaying valuable output for debugging. For your information, these tests are written using forge , and some employ the property-based testing pattern (fuzzing) to generate random inputs for the functions under test. Additionally, some test fixtures have been generated using Google's wycheproof project, which tests crypto libraries against known attacks. These fixtures are located in the fixtures directory. The tests use two different cheatcodes you should be aware of: vm.readFile: This cheatcode lets us read the fixtures data from the test/fixtures directory. This means that every time you run the test suite, the fixtures are read from the disk, eliminating the need to copy/paste the fixtures into the test files. However, if you modify a fixture, you need to rerun the tests to see the changes. More information is available here . vm.ffi: This cheatcode allows us to execute an arbitrary command during the test suite. This cheatcode is not enabled by default when creating a new foundry project, but in our case, it's enabled in our configuration ( foundry configuration ) for all tests. This cheatcode is used to run the computation library that calculates 256 points on the secp256r1 elliptic curve from a public key. This is required for the variants that need these points to be deployed on-chain. Therefore, even if it's not explicit, every time you run the test suite, a Node.js script is executed multiple times. You can learn more about the library we use here . 📖 Cheatcodes are special instructions exposed by Foundry to enhance the developer experience. Learn more about them here . 💡 Run make to learn how to run the test in verbose mode, or to display the coverage or the gas consumption.","breadcrumbs":"Home » Unit tests","id":"14","title":"Unit tests"},"15":{"body":"This repository uses forge-fmt, solhint and prettier to enforce code quality. These tools are automatically run by the GitHub Actions on every push to the main branch and on every pull request targeting this branch. They are also automatically run by the git hook on every push to a remote repository if you have installed it ( refer to the Git hooks section ). Alternatively, you can run them locally by executing the following command in the project directory: make lint # run the linter\nmake format # run the formatter\nmake quality # run both ℹ️ By adding the sufix -fix the linter and the formatter will try to fix the issues automatically.","breadcrumbs":"Home » Quality","id":"15","title":"Quality"},"16":{"body":"Special thanks to rdubois-crypto for developing the reference implementation here and for the invaluable cryptographic guidance. The implementation, and more precisely, all the ingenious mathematical tricks you can discover in this repository, are from his mind. My role here was to clean up his work to improve the chances of accepting contributions. All credit goes to him. If you want to learn more about the math behind this project, check out this publication written by rdubois-crypto .","breadcrumbs":"Home » Acknowledgements","id":"16","title":"Acknowledgements"},"17":{"body":"ECDSA nModInv pModInv secp256r1 constants","breadcrumbs":"❱ utils » Contents","id":"17","title":"Contents"},"18":{"body":"Git Source Library for handling Elliptic Curve Digital Signature Algorithm (ECDSA) operations on a compatible curve","breadcrumbs":"❱ utils » ECDSA » ECDSA","id":"18","title":"ECDSA"},"19":{"body":"","breadcrumbs":"❱ utils » ECDSA » Functions","id":"19","title":"Functions"},"2":{"body":"","breadcrumbs":"Home » Installation","id":"2","title":"Installation"},"20":{"body":"Convert from XYZZ coordinates to affine coordinates Learn more about the XYZZ representation here: https://hyperelliptic.org/EFD/g1p/auto-shortw-xyzz-3.html#addition-add-2008-s* function zz2Aff(uint256 x, uint256 y, uint256 zz, uint256 zzz) internal returns (uint256 x1, uint256 y1); Parameters Name Type Description x uint256 The X-coordinate of the point in XYZZ representation y uint256 The Y-coordinate of the point in XYZZ representation zz uint256 The ZZ value of the point in XYZZ representation zzz uint256 The ZZZ value of the point in XYZZ representation Returns Name Type Description x1 uint256 The X-coordinate of the point in affine representation y1 uint256 The Y-coordinate of the point in affine representation","breadcrumbs":"❱ utils » ECDSA » zz2Aff","id":"20","title":"zz2Aff"},"21":{"body":"Adds a point in XYZZ coordinates to a point in affine coordinates function zzAddN( uint256 x1, uint256 y1, uint256 zz1, uint256 zzz1, uint256 x2, uint256 y2\n) internal pure returns (uint256 P0, uint256 P1, uint256 P2, uint256 P3); Parameters Name Type Description x1 uint256 The X-coordinate of the first point y1 uint256 The Y-coordinate of the first point zz1 uint256 The ZZ value of the first point zzz1 uint256 The ZZZ value of the first point x2 uint256 The X-coordinate of the second point y2 uint256 The Y-coordinate of the second point Returns Name Type Description P0 uint256 The X-coordinate of the resulting point P1 uint256 The Y-coordinate of the resulting point P2 uint256 The ZZ value of the resulting point P3 uint256 The ZZZ value of the resulting point","breadcrumbs":"❱ utils » ECDSA » zzAddN","id":"21","title":"zzAddN"},"22":{"body":"Performs point doubling operation in XYZZ coordinates on an elliptic curve This implements the \"dbl-2008-s-1\" doubling formulas from Sutherland's 2008 paper function zzDouble( uint256 x, uint256 y, uint256 zz, uint256 zzz\n) internal pure returns (uint256 P0, uint256 P1, uint256 P2, uint256 P3); Parameters Name Type Description x uint256 The X-coordinate of the point y uint256 The Y-coordinate of the point zz uint256 The ZZ value of the point zzz uint256 The ZZZ value of the point Returns Name Type Description P0 uint256 The X-coordinate of the resulting point after doubling P1 uint256 The Y-coordinate of the resulting point after doubling P2 uint256 The ZZ value of the resulting point after doubling P3 uint256 The ZZZ value of the resulting point after doubling","breadcrumbs":"❱ utils » ECDSA » zzDouble","id":"22","title":"zzDouble"},"23":{"body":"Check if a point in affine coordinates is on the curve function affIsOnCurve(uint256 x, uint256 y) internal pure returns (bool); Parameters Name Type Description x uint256 The X-coordinate of the point y uint256 The Y-coordinate of the point Returns Name Type Description bool bool True if the point is on the curve, false otherwise","breadcrumbs":"❱ utils » ECDSA » affIsOnCurve","id":"23","title":"affIsOnCurve"},"24":{"body":"Add two points on the elliptic curve in affine coordinates function affAdd(uint256 x0, uint256 y0, uint256 x1, uint256 y1) internal returns (uint256 x2, uint256 y2); Parameters Name Type Description x0 uint256 The X-coordinate of the first point y0 uint256 The Y-coordinate of the first point x1 uint256 The X-coordinate of the second point y1 uint256 The Y-coordinate of the second point Returns Name Type Description x2 uint256 The X-coordinate of the resulting point y2 uint256 The Y-coordinate of the resulting point","breadcrumbs":"❱ utils » ECDSA » affAdd","id":"24","title":"affAdd"},"25":{"body":"Git Source Calculate the modular inverse of a given integer, which is the inverse of this integer modulo n. Uses the ModExp precompiled contract at address 0x05 for fast computation using little Fermat theorem function nModInv(uint256 self) returns (uint256 result); Parameters Name Type Description self uint256 The integer of which to find the modular inverse Returns Name Type Description result uint256 The modular inverse of the input integer. If the modular inverse doesn't exist, it revert the tx","breadcrumbs":"❱ utils » nModInv » nModInv","id":"25","title":"nModInv"},"26":{"body":"Git Source Calculate the modular inverse of a given integer, which is the inverse of this integer modulo p. Uses the ModExp precompiled contract at address 0x05 for fast computation using little Fermat theorem function pModInv(uint256 self) returns (uint256 result); Parameters Name Type Description self uint256 The integer of which to find the modular inverse Returns Name Type Description result uint256 The modular inverse of the input integer. If the modular inverse doesn't exist, it revert the tx","breadcrumbs":"❱ utils » pModInv » pModInv","id":"26","title":"pModInv"},"27":{"body":"Git Source","breadcrumbs":"❱ utils » secp256r1 constants » Constants","id":"27","title":"Constants"},"28":{"body":"uint256 constant p = 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF;","breadcrumbs":"❱ utils » secp256r1 constants » p","id":"28","title":"p"},"29":{"body":"uint256 constant a = 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC;","breadcrumbs":"❱ utils » secp256r1 constants » a","id":"29","title":"a"},"3":{"body":"To install the secp256r1-verify package in a Foundry project, execute the following command: forge install https://github.com/get-smooth/secp256r1-verify This command will install the latest version of the package in your lib directory. To install a specific version of the library, follow the instructions in the official Foundry documentation .","breadcrumbs":"Home » Foundry","id":"3","title":"Foundry"},"30":{"body":"uint256 constant b = 0x5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B;","breadcrumbs":"❱ utils » secp256r1 constants » b","id":"30","title":"b"},"31":{"body":"uint256 constant gx = 0x6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296;","breadcrumbs":"❱ utils » secp256r1 constants » gx","id":"31","title":"gx"},"32":{"body":"uint256 constant gy = 0x4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5;","breadcrumbs":"❱ utils » secp256r1 constants » gy","id":"32","title":"gy"},"33":{"body":"uint256 constant n = 0xFFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551;","breadcrumbs":"❱ utils » secp256r1 constants » n","id":"33","title":"n"},"34":{"body":"uint256 constant MINUS_2 = 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFD;","breadcrumbs":"❱ utils » secp256r1 constants » MINUS_2","id":"34","title":"MINUS_2"},"35":{"body":"uint256 constant MINUS_2MODN = 0xFFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC63254F;","breadcrumbs":"❱ utils » secp256r1 constants » MINUS_2MODN","id":"35","title":"MINUS_2MODN"},"36":{"body":"uint256 constant MINUS_1 = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;","breadcrumbs":"❱ utils » secp256r1 constants » MINUS_1","id":"36","title":"MINUS_1"},"37":{"body":"address constant MODEXP_PRECOMPILE = 0x0000000000000000000000000000000000000005;","breadcrumbs":"❱ utils » secp256r1 constants » MODEXP_PRECOMPILE","id":"37","title":"MODEXP_PRECOMPILE"},"38":{"body":"Git Source A library to verify ECDSA signatures made on the secp256r1 curve This is the easiest library to deal with but also the most expensive in terms of gas cost. Indeed, this library must calculate multiple points on the curve in order to verify the signature. Use it kmowingly.","breadcrumbs":"ECDSA256r1 » ECDSA256r1","id":"38","title":"ECDSA256r1"},"39":{"body":"","breadcrumbs":"ECDSA256r1 » Functions","id":"39","title":"Functions"},"4":{"body":"To install the secp256r1-verify package in a Hardhat or Truffle project, use npm to run the following command: npm install @smoo.th/secp256r1-verify After the installation, import the package into your project and use it.","breadcrumbs":"Home » Hardhat or Truffle","id":"4","title":"Hardhat or Truffle"},"40":{"body":"Verifies that a point is on the secp256r1 curve function isPointValid(uint256 x, uint256 y) internal pure returns (bool); Parameters Name Type Description x uint256 The x-coordinate of the point y uint256 The y-coordinate of the point Returns Name Type Description bool bool True if the point is on the curve, false otherwise","breadcrumbs":"ECDSA256r1 » isPointValid","id":"40","title":"isPointValid"},"41":{"body":"and Q is the public key. function mulmuladd(uint256 Q0, uint256 Q1, uint256 scalar_u, uint256 scalar_v) internal returns (uint256 X); Parameters Name Type Description Q0 uint256 x-coordinate of the input point Q Q1 uint256 y-coordinate of the input point Q scalar_u uint256 Multiplier for basepoint G scalar_v uint256 Multiplier for input point Q Returns Name Type Description X uint256 Resulting x-coordinate of the computed point","breadcrumbs":"ECDSA256r1 » mulmuladd","id":"41","title":"mulmuladd"},"42":{"body":"Verifies an ECDSA signature on the secp256r1 curve given the message, signature, and public key. This function is the only one exposed by the library Note the required interactions with the precompled contract can revert the transaction function verify(bytes32 message, uint256 r, uint256 s, uint256 qx, uint256 qy) internal returns (bool); Parameters Name Type Description message bytes32 The original message that was signed r uint256 uint256 The r value of the ECDSA signature. s uint256 uint256 The s value of the ECDSA signature. qx uint256 The x value of the public key used for the signature qy uint256 The y value of the public key used for the signature Returns Name Type Description bool bool True if the signature is valid, false otherwise","breadcrumbs":"ECDSA256r1 » verify","id":"42","title":"verify"},"5":{"body":"This repository provides a unique verification implementation. After you've integrated this library into your project, you can freely import the ECDSA256r1 and use it. 🚨 The implementations have not been audited. DO NOT USE IT IN PRODUCTION.","breadcrumbs":"Home » Usage","id":"5","title":"Usage"},"6":{"body":"The traditional approach is the implementation present in this repository. You can take a look to it here: ECDSA256r1 file . This implementation is ready to use right out of the box; simply deploy the library and interact with it by calling its singular exposed function, verify, which accepts three parameters: bytes32 messageHash: The hash of the message to verify uint256[2] calldata rs: The r and s values of the ECDSA signature uint256[2] calldata point: The public key point of the signer This approach computes uG + vQ using the Strauss-Shamir's trick on the secp256r1 elliptic curve on-chain , where G is the base point and Q is the public key.","breadcrumbs":"Home » 1️⃣ The traditional implementation","id":"6","title":"1️⃣ The traditional implementation"},"7":{"body":"This repository includes a script directory containing a set of scripts that can be used to deploy the different implementations on-chain. Each script contains a set of instructions and an example of how to use it. The scripts are expected to be run using the forge script command.","breadcrumbs":"Home » Scripts","id":"7","title":"Scripts"},"8":{"body":"These gas reports were produced using the 0.8.19 version of the Solidity compiler (with 100k optimizer runs), specifically for the 0.4.1 version of the library. The library version corresponds to commit 4d0716f . ℹ️ If you import the library into your project, we strongly recommend you to enable the optimizer with 100k in order to have the best gas consumption.","breadcrumbs":"Home » Gas reports","id":"8","title":"Gas reports"},"9":{"body":"Deployment Cost Deployment Size 1002641 5040 Function Name min avg median max verify 192620 202959 202905 210079","breadcrumbs":"Home » The traditional implementation 🔗","id":"9","title":"The traditional implementation 🔗"}},"docInfo":{"0":{"body":26,"breadcrumbs":3,"title":2},"1":{"body":45,"breadcrumbs":2,"title":1},"10":{"body":169,"breadcrumbs":2,"title":1},"11":{"body":82,"breadcrumbs":3,"title":2},"12":{"body":91,"breadcrumbs":3,"title":2},"13":{"body":0,"breadcrumbs":2,"title":1},"14":{"body":212,"breadcrumbs":3,"title":2},"15":{"body":62,"breadcrumbs":2,"title":1},"16":{"body":43,"breadcrumbs":2,"title":1},"17":{"body":5,"breadcrumbs":2,"title":1},"18":{"body":13,"breadcrumbs":3,"title":1},"19":{"body":0,"breadcrumbs":3,"title":1},"2":{"body":0,"breadcrumbs":2,"title":1},"20":{"body":82,"breadcrumbs":3,"title":1},"21":{"body":100,"breadcrumbs":3,"title":1},"22":{"body":95,"breadcrumbs":3,"title":1},"23":{"body":40,"breadcrumbs":3,"title":1},"24":{"body":66,"breadcrumbs":3,"title":1},"25":{"body":55,"breadcrumbs":3,"title":1},"26":{"body":55,"breadcrumbs":3,"title":1},"27":{"body":2,"breadcrumbs":4,"title":1},"28":{"body":4,"breadcrumbs":4,"title":1},"29":{"body":3,"breadcrumbs":3,"title":0},"3":{"body":30,"breadcrumbs":2,"title":1},"30":{"body":4,"breadcrumbs":4,"title":1},"31":{"body":4,"breadcrumbs":4,"title":1},"32":{"body":4,"breadcrumbs":4,"title":1},"33":{"body":4,"breadcrumbs":4,"title":1},"34":{"body":4,"breadcrumbs":4,"title":1},"35":{"body":4,"breadcrumbs":4,"title":1},"36":{"body":4,"breadcrumbs":4,"title":1},"37":{"body":4,"breadcrumbs":4,"title":1},"38":{"body":27,"breadcrumbs":2,"title":1},"39":{"body":0,"breadcrumbs":2,"title":1},"4":{"body":21,"breadcrumbs":3,"title":2},"40":{"body":39,"breadcrumbs":2,"title":1},"41":{"body":56,"breadcrumbs":2,"title":1},"42":{"body":86,"breadcrumbs":2,"title":1},"5":{"body":17,"breadcrumbs":2,"title":1},"6":{"body":66,"breadcrumbs":4,"title":3},"7":{"body":26,"breadcrumbs":2,"title":1},"8":{"body":32,"breadcrumbs":3,"title":2},"9":{"body":17,"breadcrumbs":3,"title":2}},"length":43},"lang":"English"}} \ No newline at end of file diff --git a/src/ECDSA256r1.sol/library.ECDSA256r1.html b/src/ECDSA256r1.sol/library.ECDSA256r1.html index b4f3f35..6f6a90f 100644 --- a/src/ECDSA256r1.sol/library.ECDSA256r1.html +++ b/src/ECDSA256r1.sol/library.ECDSA256r1.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -178,7 +178,7 @@ ECDSA256r1 -Git Source +Git Source A library to verify ECDSA signatures made on the secp256r1 curve This is the easiest library to deal with but also the most expensive in terms of gas cost. Indeed, this library must calculate multiple points on the curve in order to verify the signature. Use it kmowingly. diff --git a/src/utils/ECDSA.sol/library.ECDSA.html b/src/utils/ECDSA.sol/library.ECDSA.html index 00a0edf..74f53f7 100644 --- a/src/utils/ECDSA.sol/library.ECDSA.html +++ b/src/utils/ECDSA.sol/library.ECDSA.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -178,7 +178,7 @@ ECDSA -Git Source +Git Source Library for handling Elliptic Curve Digital Signature Algorithm (ECDSA) operations on a compatible curve Functions zz2Aff @@ -303,7 +303,7 @@ affAdd - + @@ -317,7 +317,7 @@ affAdd - + diff --git a/src/utils/index.html b/src/utils/index.html index 2b61f65..53481f6 100644 --- a/src/utils/index.html +++ b/src/utils/index.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -180,8 +180,8 @@ Contents ECDSA -pModInv nModInv +pModInv secp256r1 constants diff --git a/src/utils/secp256r1.sol/constants.secp256r1.html b/src/utils/secp256r1.sol/constants.secp256r1.html index b85e6ed..fb04199 100644 --- a/src/utils/secp256r1.sol/constants.secp256r1.html +++ b/src/utils/secp256r1.sol/constants.secp256r1.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -178,7 +178,7 @@ Constants -Git Source +Git Source p uint256 constant p = 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF; @@ -214,7 +214,7 @@ MODEXP_PR - + @@ -228,7 +228,7 @@ MODEXP_PR - + diff --git a/src/utils/secp256r1.sol/function.nModInv.html b/src/utils/secp256r1.sol/function.nModInv.html index 0449bf3..efbf9a7 100644 --- a/src/utils/secp256r1.sol/function.nModInv.html +++ b/src/utils/secp256r1.sol/function.nModInv.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -178,7 +178,7 @@ nModInv -Git Source +Git Source Calculate the modular inverse of a given integer, which is the inverse of this integer modulo n. Uses the ModExp precompiled contract at address 0x05 for fast computation using little Fermat theorem function nModInv(uint256 self) returns (uint256 result); @@ -197,11 +197,11 @@ nModInv - + - + @@ -211,11 +211,11 @@ nModInv - + - + diff --git a/src/utils/secp256r1.sol/function.pModInv.html b/src/utils/secp256r1.sol/function.pModInv.html index 50be298..14a5879 100644 --- a/src/utils/secp256r1.sol/function.pModInv.html +++ b/src/utils/secp256r1.sol/function.pModInv.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -178,7 +178,7 @@ pModInv -Git Source +Git Source Calculate the modular inverse of a given integer, which is the inverse of this integer modulo p. Uses the ModExp precompiled contract at address 0x05 for fast computation using little Fermat theorem function pModInv(uint256 self) returns (uint256 result); @@ -197,11 +197,11 @@ pModInv - + - + @@ -211,11 +211,11 @@ pModInv - + - +
function nModInv(uint256 self) returns (uint256 result);
Parameters
result
function nModInv(uint256 self) returns (uint256 result); +function pModInv(uint256 self) returns (uint256 result); Parameters NameTypeDescription @@ -525,7 +525,7 @@ affAdd resultuint256The modular inverse of the input integer. If the modular inverse doesn't exist, it revert the tx Constants -Git Source +Git Source p uint256 constant p = 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF; @@ -557,7 +557,7 @@ MODEXP_PR address constant MODEXP_PRECOMPILE = 0x0000000000000000000000000000000000000005; ECDSA256r1 -Git Source +Git Source A library to verify ECDSA signatures made on the secp256r1 curve This is the easiest library to deal with but also the most expensive in terms of gas cost. Indeed, this library must calculate multiple points on the curve in order to verify the signature. Use it kmowingly. diff --git a/searchindex.js b/searchindex.js index f07e42b..0630a6b 100644 --- a/searchindex.js +++ b/searchindex.js @@ -1 +1 @@ -Object.assign(window.search, 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This repository is deprecated. Please refer to the crypto-lib repository to find the latest implementation of the secp256r1 curve. Open in Github Github Actions Github Actions Github Actions Github Actions Foundry License: MIT Is it audited?","breadcrumbs":"Home » secp256r1 verify","id":"0","title":"secp256r1 verify"},"1":{"body":"secp256r1-verify is a specialized Solidity library that enables on-chain ECDSA signature verification on the secp256r1 curve with notable efficiency. This repository is a simple implementation for signature verification. It sets a vital foundation for the widespread application of FIDO2's Webauthn, serving as an authentication protocol for smart accounts. If you are looking for an alternative implementation, such as the ones based on the *codedopy opcodes, check out Renaud Dubois' FreshCryptoLib repository.","breadcrumbs":"Home » Description","id":"1","title":"Description"},"10":{"body":"To contribute to the project, you must have Foundry and Node.js installed on your system. 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These tools are automatically run by the GitHub Actions on every push to the main branch and on every pull request targeting this branch. They are also automatically run by the git hook on every push to a remote repository if you have installed it ( refer to the Git hooks section ). Alternatively, you can run them locally by executing the following command in the project directory: make lint # run the linter\nmake format # run the formatter\nmake quality # run both ℹ️ By adding the sufix -fix the linter and the formatter will try to fix the issues automatically.","breadcrumbs":"Home » Quality","id":"15","title":"Quality"},"16":{"body":"Special thanks to rdubois-crypto for developing the reference implementation here and for the invaluable cryptographic guidance. The implementation, and more precisely, all the ingenious mathematical tricks you can discover in this repository, are from his mind. My role here was to clean up his work to improve the chances of accepting contributions. 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This repository is deprecated. Please refer to the crypto-lib repository to find the latest implementation of the secp256r1 curve. Open in Github Github Actions Github Actions Github Actions Github Actions Foundry License: MIT Is it audited?","breadcrumbs":"Home » secp256r1 verify","id":"0","title":"secp256r1 verify"},"1":{"body":"secp256r1-verify is a specialized Solidity library that enables on-chain ECDSA signature verification on the secp256r1 curve with notable efficiency. This repository is a simple implementation for signature verification. It sets a vital foundation for the widespread application of FIDO2's Webauthn, serving as an authentication protocol for smart accounts. If you are looking for an alternative implementation, such as the ones based on the *codedopy opcodes, check out Renaud Dubois' FreshCryptoLib repository.","breadcrumbs":"Home » Description","id":"1","title":"Description"},"10":{"body":"To contribute to the project, you must have Foundry and Node.js installed on your system. 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This repository is deprecated. Please refer to the crypto-lib repository to find the latest implementation of the secp256r1 curve. Open in Github Github Actions Github Actions Github Actions Github Actions Foundry License: MIT Is it audited?","breadcrumbs":"Home » secp256r1 verify","id":"0","title":"secp256r1 verify"},"1":{"body":"secp256r1-verify is a specialized Solidity library that enables on-chain ECDSA signature verification on the secp256r1 curve with notable efficiency. This repository is a simple implementation for signature verification. It sets a vital foundation for the widespread application of FIDO2's Webauthn, serving as an authentication protocol for smart accounts. If you are looking for an alternative implementation, such as the ones based on the *codedopy opcodes, check out Renaud Dubois' FreshCryptoLib repository.","breadcrumbs":"Home » Description","id":"1","title":"Description"},"10":{"body":"To contribute to the project, you must have Foundry and Node.js installed on your system. 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This repository is deprecated. Please refer to the crypto-lib repository to find the latest implementation of the secp256r1 curve. Open in Github Github Actions Github Actions Github Actions Github Actions Foundry License: MIT Is it audited?","breadcrumbs":"Home » secp256r1 verify","id":"0","title":"secp256r1 verify"},"1":{"body":"secp256r1-verify is a specialized Solidity library that enables on-chain ECDSA signature verification on the secp256r1 curve with notable efficiency. This repository is a simple implementation for signature verification. It sets a vital foundation for the widespread application of FIDO2's Webauthn, serving as an authentication protocol for smart accounts. If you are looking for an alternative implementation, such as the ones based on the *codedopy opcodes, check out Renaud Dubois' FreshCryptoLib repository.","breadcrumbs":"Home » Description","id":"1","title":"Description"},"10":{"body":"To contribute to the project, you must have Foundry and Node.js installed on your system. 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To bypass Lefthook when pushing code, use the following command: git push origin --no-verify","breadcrumbs":"Home » Git hooks","id":"12","title":"Git hooks"},"13":{"body":"","breadcrumbs":"Home » Testing","id":"13","title":"Testing"},"14":{"body":"The unit tests are stored in the test directory. They test individual functions of the package in isolation. These tests are automatically run by GitHub Actions with every push to the main branch and on every pull request targeting this branch. They are also automatically run by the git hook on every push to a remote repository if you have installed it ( refer to the Git hooks section ). Alternatively, you can run them locally by executing the following command in the project directory: make test ℹ️ By adding the sufix -v the test command will run in verbose mode, displaying valuable output for debugging. For your information, these tests are written using forge , and some employ the property-based testing pattern (fuzzing) to generate random inputs for the functions under test. Additionally, some test fixtures have been generated using Google's wycheproof project, which tests crypto libraries against known attacks. These fixtures are located in the fixtures directory. The tests use two different cheatcodes you should be aware of: vm.readFile: This cheatcode lets us read the fixtures data from the test/fixtures directory. This means that every time you run the test suite, the fixtures are read from the disk, eliminating the need to copy/paste the fixtures into the test files. However, if you modify a fixture, you need to rerun the tests to see the changes. More information is available here . vm.ffi: This cheatcode allows us to execute an arbitrary command during the test suite. This cheatcode is not enabled by default when creating a new foundry project, but in our case, it's enabled in our configuration ( foundry configuration ) for all tests. This cheatcode is used to run the computation library that calculates 256 points on the secp256r1 elliptic curve from a public key. This is required for the variants that need these points to be deployed on-chain. Therefore, even if it's not explicit, every time you run the test suite, a Node.js script is executed multiple times. You can learn more about the library we use here . 📖 Cheatcodes are special instructions exposed by Foundry to enhance the developer experience. Learn more about them here . 💡 Run make to learn how to run the test in verbose mode, or to display the coverage or the gas consumption.","breadcrumbs":"Home » Unit tests","id":"14","title":"Unit tests"},"15":{"body":"This repository uses forge-fmt, solhint and prettier to enforce code quality. These tools are automatically run by the GitHub Actions on every push to the main branch and on every pull request targeting this branch. They are also automatically run by the git hook on every push to a remote repository if you have installed it ( refer to the Git hooks section ). Alternatively, you can run them locally by executing the following command in the project directory: make lint # run the linter\nmake format # run the formatter\nmake quality # run both ℹ️ By adding the sufix -fix the linter and the formatter will try to fix the issues automatically.","breadcrumbs":"Home » Quality","id":"15","title":"Quality"},"16":{"body":"Special thanks to rdubois-crypto for developing the reference implementation here and for the invaluable cryptographic guidance. The implementation, and more precisely, all the ingenious mathematical tricks you can discover in this repository, are from his mind. My role here was to clean up his work to improve the chances of accepting contributions. All credit goes to him. If you want to learn more about the math behind this project, check out this publication written by rdubois-crypto .","breadcrumbs":"Home » Acknowledgements","id":"16","title":"Acknowledgements"},"17":{"body":"ECDSA nModInv pModInv secp256r1 constants","breadcrumbs":"❱ utils » Contents","id":"17","title":"Contents"},"18":{"body":"Git Source Library for handling Elliptic Curve Digital Signature Algorithm (ECDSA) operations on a compatible curve","breadcrumbs":"❱ utils » ECDSA » ECDSA","id":"18","title":"ECDSA"},"19":{"body":"","breadcrumbs":"❱ utils » ECDSA » Functions","id":"19","title":"Functions"},"2":{"body":"","breadcrumbs":"Home » Installation","id":"2","title":"Installation"},"20":{"body":"Convert from XYZZ coordinates to affine coordinates Learn more about the XYZZ representation here: https://hyperelliptic.org/EFD/g1p/auto-shortw-xyzz-3.html#addition-add-2008-s* function zz2Aff(uint256 x, uint256 y, uint256 zz, uint256 zzz) internal returns (uint256 x1, uint256 y1); Parameters Name Type Description x uint256 The X-coordinate of the point in XYZZ representation y uint256 The Y-coordinate of the point in XYZZ representation zz uint256 The ZZ value of the point in XYZZ representation zzz uint256 The ZZZ value of the point in XYZZ representation Returns Name Type Description x1 uint256 The X-coordinate of the point in affine representation y1 uint256 The Y-coordinate of the point in affine representation","breadcrumbs":"❱ utils » ECDSA » zz2Aff","id":"20","title":"zz2Aff"},"21":{"body":"Adds a point in XYZZ coordinates to a point in affine coordinates function zzAddN( uint256 x1, uint256 y1, uint256 zz1, uint256 zzz1, uint256 x2, uint256 y2\n) internal pure returns (uint256 P0, uint256 P1, uint256 P2, uint256 P3); Parameters Name Type Description x1 uint256 The X-coordinate of the first point y1 uint256 The Y-coordinate of the first point zz1 uint256 The ZZ value of the first point zzz1 uint256 The ZZZ value of the first point x2 uint256 The X-coordinate of the second point y2 uint256 The Y-coordinate of the second point Returns Name Type Description P0 uint256 The X-coordinate of the resulting point P1 uint256 The Y-coordinate of the resulting point P2 uint256 The ZZ value of the resulting point P3 uint256 The ZZZ value of the resulting point","breadcrumbs":"❱ utils » ECDSA » zzAddN","id":"21","title":"zzAddN"},"22":{"body":"Performs point doubling operation in XYZZ coordinates on an elliptic curve This implements the \"dbl-2008-s-1\" doubling formulas from Sutherland's 2008 paper function zzDouble( uint256 x, uint256 y, uint256 zz, uint256 zzz\n) internal pure returns (uint256 P0, uint256 P1, uint256 P2, uint256 P3); Parameters Name Type Description x uint256 The X-coordinate of the point y uint256 The Y-coordinate of the point zz uint256 The ZZ value of the point zzz uint256 The ZZZ value of the point Returns Name Type Description P0 uint256 The X-coordinate of the resulting point after doubling P1 uint256 The Y-coordinate of the resulting point after doubling P2 uint256 The ZZ value of the resulting point after doubling P3 uint256 The ZZZ value of the resulting point after doubling","breadcrumbs":"❱ utils » ECDSA » zzDouble","id":"22","title":"zzDouble"},"23":{"body":"Check if a point in affine coordinates is on the curve function affIsOnCurve(uint256 x, uint256 y) internal pure returns (bool); Parameters Name Type Description x uint256 The X-coordinate of the point y uint256 The Y-coordinate of the point Returns Name Type Description bool bool True if the point is on the curve, false otherwise","breadcrumbs":"❱ utils » ECDSA » affIsOnCurve","id":"23","title":"affIsOnCurve"},"24":{"body":"Add two points on the elliptic curve in affine coordinates function affAdd(uint256 x0, uint256 y0, uint256 x1, uint256 y1) internal returns (uint256 x2, uint256 y2); Parameters Name Type Description x0 uint256 The X-coordinate of the first point y0 uint256 The Y-coordinate of the first point x1 uint256 The X-coordinate of the second point y1 uint256 The Y-coordinate of the second point Returns Name Type Description x2 uint256 The X-coordinate of the resulting point y2 uint256 The Y-coordinate of the resulting point","breadcrumbs":"❱ utils » ECDSA » affAdd","id":"24","title":"affAdd"},"25":{"body":"Git Source Calculate the modular inverse of a given integer, which is the inverse of this integer modulo n. Uses the ModExp precompiled contract at address 0x05 for fast computation using little Fermat theorem function nModInv(uint256 self) returns (uint256 result); Parameters Name Type Description self uint256 The integer of which to find the modular inverse Returns Name Type Description result uint256 The modular inverse of the input integer. If the modular inverse doesn't exist, it revert the tx","breadcrumbs":"❱ utils » nModInv » nModInv","id":"25","title":"nModInv"},"26":{"body":"Git Source Calculate the modular inverse of a given integer, which is the inverse of this integer modulo p. Uses the ModExp precompiled contract at address 0x05 for fast computation using little Fermat theorem function pModInv(uint256 self) returns (uint256 result); Parameters Name Type Description self uint256 The integer of which to find the modular inverse Returns Name Type Description result uint256 The modular inverse of the input integer. If the modular inverse doesn't exist, it revert the tx","breadcrumbs":"❱ utils » pModInv » pModInv","id":"26","title":"pModInv"},"27":{"body":"Git Source","breadcrumbs":"❱ utils » secp256r1 constants » Constants","id":"27","title":"Constants"},"28":{"body":"uint256 constant p = 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF;","breadcrumbs":"❱ utils » secp256r1 constants » p","id":"28","title":"p"},"29":{"body":"uint256 constant a = 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC;","breadcrumbs":"❱ utils » secp256r1 constants » a","id":"29","title":"a"},"3":{"body":"To install the secp256r1-verify package in a Foundry project, execute the following command: forge install https://github.com/get-smooth/secp256r1-verify This command will install the latest version of the package in your lib directory. To install a specific version of the library, follow the instructions in the official Foundry documentation .","breadcrumbs":"Home » Foundry","id":"3","title":"Foundry"},"30":{"body":"uint256 constant b = 0x5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B;","breadcrumbs":"❱ utils » secp256r1 constants » b","id":"30","title":"b"},"31":{"body":"uint256 constant gx = 0x6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296;","breadcrumbs":"❱ utils » secp256r1 constants » gx","id":"31","title":"gx"},"32":{"body":"uint256 constant gy = 0x4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5;","breadcrumbs":"❱ utils » secp256r1 constants » gy","id":"32","title":"gy"},"33":{"body":"uint256 constant n = 0xFFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551;","breadcrumbs":"❱ utils » secp256r1 constants » n","id":"33","title":"n"},"34":{"body":"uint256 constant MINUS_2 = 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFD;","breadcrumbs":"❱ utils » secp256r1 constants » MINUS_2","id":"34","title":"MINUS_2"},"35":{"body":"uint256 constant MINUS_2MODN = 0xFFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC63254F;","breadcrumbs":"❱ utils » secp256r1 constants » MINUS_2MODN","id":"35","title":"MINUS_2MODN"},"36":{"body":"uint256 constant MINUS_1 = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF;","breadcrumbs":"❱ utils » secp256r1 constants » MINUS_1","id":"36","title":"MINUS_1"},"37":{"body":"address constant MODEXP_PRECOMPILE = 0x0000000000000000000000000000000000000005;","breadcrumbs":"❱ utils » secp256r1 constants » MODEXP_PRECOMPILE","id":"37","title":"MODEXP_PRECOMPILE"},"38":{"body":"Git Source A library to verify ECDSA signatures made on the secp256r1 curve This is the easiest library to deal with but also the most expensive in terms of gas cost. Indeed, this library must calculate multiple points on the curve in order to verify the signature. Use it kmowingly.","breadcrumbs":"ECDSA256r1 » ECDSA256r1","id":"38","title":"ECDSA256r1"},"39":{"body":"","breadcrumbs":"ECDSA256r1 » Functions","id":"39","title":"Functions"},"4":{"body":"To install the secp256r1-verify package in a Hardhat or Truffle project, use npm to run the following command: npm install @smoo.th/secp256r1-verify After the installation, import the package into your project and use it.","breadcrumbs":"Home » Hardhat or Truffle","id":"4","title":"Hardhat or Truffle"},"40":{"body":"Verifies that a point is on the secp256r1 curve function isPointValid(uint256 x, uint256 y) internal pure returns (bool); Parameters Name Type Description x uint256 The x-coordinate of the point y uint256 The y-coordinate of the point Returns Name Type Description bool bool True if the point is on the curve, false otherwise","breadcrumbs":"ECDSA256r1 » isPointValid","id":"40","title":"isPointValid"},"41":{"body":"and Q is the public key. function mulmuladd(uint256 Q0, uint256 Q1, uint256 scalar_u, uint256 scalar_v) internal returns (uint256 X); Parameters Name Type Description Q0 uint256 x-coordinate of the input point Q Q1 uint256 y-coordinate of the input point Q scalar_u uint256 Multiplier for basepoint G scalar_v uint256 Multiplier for input point Q Returns Name Type Description X uint256 Resulting x-coordinate of the computed point","breadcrumbs":"ECDSA256r1 » mulmuladd","id":"41","title":"mulmuladd"},"42":{"body":"Verifies an ECDSA signature on the secp256r1 curve given the message, signature, and public key. This function is the only one exposed by the library Note the required interactions with the precompled contract can revert the transaction function verify(bytes32 message, uint256 r, uint256 s, uint256 qx, uint256 qy) internal returns (bool); Parameters Name Type Description message bytes32 The original message that was signed r uint256 uint256 The r value of the ECDSA signature. s uint256 uint256 The s value of the ECDSA signature. qx uint256 The x value of the public key used for the signature qy uint256 The y value of the public key used for the signature Returns Name Type Description bool bool True if the signature is valid, false otherwise","breadcrumbs":"ECDSA256r1 » verify","id":"42","title":"verify"},"5":{"body":"This repository provides a unique verification implementation. After you've integrated this library into your project, you can freely import the ECDSA256r1 and use it. 🚨 The implementations have not been audited. DO NOT USE IT IN PRODUCTION.","breadcrumbs":"Home » Usage","id":"5","title":"Usage"},"6":{"body":"The traditional approach is the implementation present in this repository. You can take a look to it here: ECDSA256r1 file . This implementation is ready to use right out of the box; simply deploy the library and interact with it by calling its singular exposed function, verify, which accepts three parameters: bytes32 messageHash: The hash of the message to verify uint256[2] calldata rs: The r and s values of the ECDSA signature uint256[2] calldata point: The public key point of the signer This approach computes uG + vQ using the Strauss-Shamir's trick on the secp256r1 elliptic curve on-chain , where G is the base point and Q is the public key.","breadcrumbs":"Home » 1️⃣ The traditional implementation","id":"6","title":"1️⃣ The traditional implementation"},"7":{"body":"This repository includes a script directory containing a set of scripts that can be used to deploy the different implementations on-chain. Each script contains a set of instructions and an example of how to use it. The scripts are expected to be run using the forge script command.","breadcrumbs":"Home » Scripts","id":"7","title":"Scripts"},"8":{"body":"These gas reports were produced using the 0.8.19 version of the Solidity compiler (with 100k optimizer runs), specifically for the 0.4.1 version of the library. The library version corresponds to commit 4d0716f . ℹ️ If you import the library into your project, we strongly recommend you to enable the optimizer with 100k in order to have the best gas consumption.","breadcrumbs":"Home » Gas reports","id":"8","title":"Gas reports"},"9":{"body":"Deployment Cost Deployment Size 1002641 5040 Function Name min avg median max verify 192620 202959 202905 210079","breadcrumbs":"Home » The traditional implementation 🔗","id":"9","title":"The traditional implementation 🔗"}},"docInfo":{"0":{"body":26,"breadcrumbs":3,"title":2},"1":{"body":45,"breadcrumbs":2,"title":1},"10":{"body":169,"breadcrumbs":2,"title":1},"11":{"body":82,"breadcrumbs":3,"title":2},"12":{"body":91,"breadcrumbs":3,"title":2},"13":{"body":0,"breadcrumbs":2,"title":1},"14":{"body":212,"breadcrumbs":3,"title":2},"15":{"body":62,"breadcrumbs":2,"title":1},"16":{"body":43,"breadcrumbs":2,"title":1},"17":{"body":5,"breadcrumbs":2,"title":1},"18":{"body":13,"breadcrumbs":3,"title":1},"19":{"body":0,"breadcrumbs":3,"title":1},"2":{"body":0,"breadcrumbs":2,"title":1},"20":{"body":82,"breadcrumbs":3,"title":1},"21":{"body":100,"breadcrumbs":3,"title":1},"22":{"body":95,"breadcrumbs":3,"title":1},"23":{"body":40,"breadcrumbs":3,"title":1},"24":{"body":66,"breadcrumbs":3,"title":1},"25":{"body":55,"breadcrumbs":3,"title":1},"26":{"body":55,"breadcrumbs":3,"title":1},"27":{"body":2,"breadcrumbs":4,"title":1},"28":{"body":4,"breadcrumbs":4,"title":1},"29":{"body":3,"breadcrumbs":3,"title":0},"3":{"body":30,"breadcrumbs":2,"title":1},"30":{"body":4,"breadcrumbs":4,"title":1},"31":{"body":4,"breadcrumbs":4,"title":1},"32":{"body":4,"breadcrumbs":4,"title":1},"33":{"body":4,"breadcrumbs":4,"title":1},"34":{"body":4,"breadcrumbs":4,"title":1},"35":{"body":4,"breadcrumbs":4,"title":1},"36":{"body":4,"breadcrumbs":4,"title":1},"37":{"body":4,"breadcrumbs":4,"title":1},"38":{"body":27,"breadcrumbs":2,"title":1},"39":{"body":0,"breadcrumbs":2,"title":1},"4":{"body":21,"breadcrumbs":3,"title":2},"40":{"body":39,"breadcrumbs":2,"title":1},"41":{"body":56,"breadcrumbs":2,"title":1},"42":{"body":86,"breadcrumbs":2,"title":1},"5":{"body":17,"breadcrumbs":2,"title":1},"6":{"body":66,"breadcrumbs":4,"title":3},"7":{"body":26,"breadcrumbs":2,"title":1},"8":{"body":32,"breadcrumbs":3,"title":2},"9":{"body":17,"breadcrumbs":3,"title":2}},"length":43},"lang":"English"}} \ No newline at end of file diff --git a/src/ECDSA256r1.sol/library.ECDSA256r1.html b/src/ECDSA256r1.sol/library.ECDSA256r1.html index b4f3f35..6f6a90f 100644 --- a/src/ECDSA256r1.sol/library.ECDSA256r1.html +++ b/src/ECDSA256r1.sol/library.ECDSA256r1.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -178,7 +178,7 @@ ECDSA256r1 -Git Source +Git Source A library to verify ECDSA signatures made on the secp256r1 curve This is the easiest library to deal with but also the most expensive in terms of gas cost. Indeed, this library must calculate multiple points on the curve in order to verify the signature. Use it kmowingly. diff --git a/src/utils/ECDSA.sol/library.ECDSA.html b/src/utils/ECDSA.sol/library.ECDSA.html index 00a0edf..74f53f7 100644 --- a/src/utils/ECDSA.sol/library.ECDSA.html +++ b/src/utils/ECDSA.sol/library.ECDSA.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -178,7 +178,7 @@ ECDSA -Git Source +Git Source Library for handling Elliptic Curve Digital Signature Algorithm (ECDSA) operations on a compatible curve Functions zz2Aff @@ -303,7 +303,7 @@ affAdd - + @@ -317,7 +317,7 @@ affAdd - + diff --git a/src/utils/index.html b/src/utils/index.html index 2b61f65..53481f6 100644 --- a/src/utils/index.html +++ b/src/utils/index.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -180,8 +180,8 @@ Contents ECDSA -pModInv nModInv +pModInv secp256r1 constants diff --git a/src/utils/secp256r1.sol/constants.secp256r1.html b/src/utils/secp256r1.sol/constants.secp256r1.html index b85e6ed..fb04199 100644 --- a/src/utils/secp256r1.sol/constants.secp256r1.html +++ b/src/utils/secp256r1.sol/constants.secp256r1.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -178,7 +178,7 @@ Constants -Git Source +Git Source p uint256 constant p = 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF; @@ -214,7 +214,7 @@ MODEXP_PR - + @@ -228,7 +228,7 @@ MODEXP_PR - + diff --git a/src/utils/secp256r1.sol/function.nModInv.html b/src/utils/secp256r1.sol/function.nModInv.html index 0449bf3..efbf9a7 100644 --- a/src/utils/secp256r1.sol/function.nModInv.html +++ b/src/utils/secp256r1.sol/function.nModInv.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -178,7 +178,7 @@ nModInv -Git Source +Git Source Calculate the modular inverse of a given integer, which is the inverse of this integer modulo n. Uses the ModExp precompiled contract at address 0x05 for fast computation using little Fermat theorem function nModInv(uint256 self) returns (uint256 result); @@ -197,11 +197,11 @@ nModInv - + - + @@ -211,11 +211,11 @@ nModInv - + - + diff --git a/src/utils/secp256r1.sol/function.pModInv.html b/src/utils/secp256r1.sol/function.pModInv.html index 50be298..14a5879 100644 --- a/src/utils/secp256r1.sol/function.pModInv.html +++ b/src/utils/secp256r1.sol/function.pModInv.html @@ -89,7 +89,7 @@ - Homesrc❱ utils❱ECDSApModInvnModInvsecp256r1 constantsECDSA256r1 + Homesrc❱ utils❱ECDSAnModInvpModInvsecp256r1 constantsECDSA256r1 @@ -178,7 +178,7 @@ pModInv -Git Source +Git Source Calculate the modular inverse of a given integer, which is the inverse of this integer modulo p. Uses the ModExp precompiled contract at address 0x05 for fast computation using little Fermat theorem function pModInv(uint256 self) returns (uint256 result); @@ -197,11 +197,11 @@ pModInv - + - + @@ -211,11 +211,11 @@ pModInv - + - +
function pModInv(uint256 self) returns (uint256 result);
uint256 constant p = 0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF;
address constant MODEXP_PRECOMPILE = 0x0000000000000000000000000000000000000005;
A library to verify ECDSA signatures made on the secp256r1 curve
This is the easiest library to deal with but also the most expensive in terms of gas cost. Indeed, this library must calculate multiple points on the curve in order to verify the signature. Use it kmowingly.
function nModInv(uint256 self) returns (uint256 result); @@ -197,11 +197,11 @@ nModInv - + - + @@ -211,11 +211,11 @@ nModInv
function pModInv(uint256 self) returns (uint256 result); @@ -197,11 +197,11 @@ pModInv - + - + @@ -211,11 +211,11 @@ pModInv