From f7d603466ebdbaffee962ed626909c0e156be318 Mon Sep 17 00:00:00 2001 From: Oba Date: Tue, 15 Oct 2024 10:05:17 +0200 Subject: [PATCH] tests: Add noble-curves secp256k1 point validity and de/encoding test vectors (#32) --- foundry.toml | 2 + src/onchain/secp256k1/Secp256k1Arithmetic.sol | 4 + .../secp256k1/Secp256k1Arithmetic.t.sol | 156 + .../secp256k1/test-vectors/points.json | 10815 ++++++++++++++++ 4 files changed, 10977 insertions(+) create mode 100644 test/onchain/secp256k1/test-vectors/points.json diff --git a/foundry.toml b/foundry.toml index b913f87..6538cd0 100644 --- a/foundry.toml +++ b/foundry.toml @@ -3,6 +3,8 @@ src = 'src' out = 'out' libs = ['lib'] ffi = true +# Permissions +fs_permissions = [{ access = "read", path = "./test" }] # Compilation evm_version = "shanghai" diff --git a/src/onchain/secp256k1/Secp256k1Arithmetic.sol b/src/onchain/secp256k1/Secp256k1Arithmetic.sol index c8201ee..d8af1dc 100644 --- a/src/onchain/secp256k1/Secp256k1Arithmetic.sol +++ b/src/onchain/secp256k1/Secp256k1Arithmetic.sol @@ -135,6 +135,10 @@ library Secp256k1Arithmetic { /// /// @dev Note that the identity is on the curve. function isOnCurve(Point memory point) internal pure returns (bool) { + if (point.x >= P || point.y >= P) { + return false; + } + if (point.isIdentity()) { return true; } diff --git a/test/onchain/secp256k1/Secp256k1Arithmetic.t.sol b/test/onchain/secp256k1/Secp256k1Arithmetic.t.sol index 7f17812..7422493 100644 --- a/test/onchain/secp256k1/Secp256k1Arithmetic.t.sol +++ b/test/onchain/secp256k1/Secp256k1Arithmetic.t.sol @@ -3,6 +3,7 @@ pragma solidity ^0.8.16; import {Test} from "forge-std/Test.sol"; import {console2 as console} from "forge-std/console2.sol"; +import {stdJson} from "forge-std/StdJson.sol"; import {Secp256k1Offchain} from "src/offchain/secp256k1/Secp256k1Offchain.sol"; import { @@ -29,6 +30,7 @@ contract Secp256k1ArithmeticTest is Test { using Secp256k1 for Point; using Secp256k1Arithmetic for Point; using Secp256k1Arithmetic for ProjectivePoint; + using stdJson for string; // Uncompressed Generator G. // Copied from [SEC-2 v2]. @@ -108,6 +110,56 @@ contract Secp256k1ArithmeticTest is Test { assertFalse(wrapper.isOnCurve(point)); } + struct IsPointCase { + string P; + bool expected; + } + + function testVectorsNobleCurves_Point_isPoint() public { + string memory root = vm.projectRoot(); + string memory path = string.concat( + root, "/test/onchain/secp256k1/test-vectors/points.json" + ); + string memory json = vm.readFile(path); + bytes memory data = json.parseRaw(".valid.isPoint"); + IsPointCase[] memory cases = abi.decode(data, (IsPointCase[])); + for (uint i; i < cases.length; i++) { + IsPointCase memory c = cases[i]; + bytes memory parsedPoint = vm.parseBytes(c.P); + Point memory point; + bool expectedOnCurve = c.expected; + // If normal encoded. + if (parsedPoint[0] == 0x04) { + if (expectedOnCurve) { + point = wrapper.pointFromEncoded(parsedPoint); + assertEq(wrapper.isOnCurve(point), expectedOnCurve); + continue; + } else { + vm.expectRevert(); + wrapper.pointFromEncoded(parsedPoint); + continue; + } + } + // If compressed encoded. + if (parsedPoint[0] == 0x02 || parsedPoint[0] == 0x03) { + if (expectedOnCurve) { + point = wrapper.pointFromCompressedEncoded(parsedPoint); + assertEq(wrapper.isOnCurve(point), expectedOnCurve); + continue; + } else { + vm.expectRevert(); + wrapper.pointFromCompressedEncoded(parsedPoint); + continue; + } + } + // Otherwise invalid. + vm.expectRevert(); + wrapper.pointFromEncoded(parsedPoint); + vm.expectRevert(); + wrapper.pointFromCompressedEncoded(parsedPoint); + } + } + // -- yParity function testFuzz_Point_yParity(uint x, uint y) public view { @@ -238,6 +290,53 @@ contract Secp256k1ArithmeticTest is Test { } } + struct PointAddCase { + string P; + string Q; + string expected; + } + + function testVectorsNobleCurves_ProjectivePoint_add() public view { + string memory root = vm.projectRoot(); + string memory path = string.concat( + root, "/test/onchain/secp256k1/test-vectors/points.json" + ); + string memory json = vm.readFile(path); + bytes memory data = json.parseRaw(".valid.pointAdd"); + PointAddCase[] memory cases = abi.decode(data, (PointAddCase[])); + for (uint i; i < cases.length; i++) { + PointAddCase memory c = cases[i]; + bytes memory parsedP = vm.parseBytes(c.P); + bytes memory parsedQ = vm.parseBytes(c.Q); + bytes memory parsedExpected; + try vm.parseBytes(c.expected) returns (bytes memory parsedTry) { + parsedExpected = parsedTry; + } catch { + // "description": "1 + -1 == 0/Infinity", + // "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + // "Q": "0379be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + // "expected": null + assertEq( + parsedP, + hex"0279BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798" + ); + assertEq( + parsedQ, + hex"0379BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798" + ); + parsedExpected = hex"00"; + } + ProjectivePoint memory p = + wrapper.pointFromCompressedEncoded(parsedP).toProjectivePoint(); + ProjectivePoint memory q = + wrapper.pointFromCompressedEncoded(parsedQ).toProjectivePoint(); + Point memory expected = + wrapper.pointFromCompressedEncoded(parsedExpected); + Point memory got = wrapper.add(p, q).intoPoint(); + assertTrue(got.eq(expected)); + } + } + function test_ProjectivePoint_add_Identity() public view { ProjectivePoint memory g = Secp256k1Arithmetic.G().toProjectivePoint(); ProjectivePoint memory id = Secp256k1Arithmetic.ProjectiveIdentity(); @@ -278,6 +377,35 @@ contract Secp256k1ArithmeticTest is Test { assertTrue(want.eq(got)); } + struct PointMulCase { + string P; + string d; + string description; + string expected; + } + + function testVectorsNobleCurves_ProjectivePoint_mul() public view { + string memory root = vm.projectRoot(); + string memory path = string.concat( + root, "/test/onchain/secp256k1/test-vectors/points.json" + ); + string memory json = vm.readFile(path); + bytes memory data = json.parseRaw(".valid.pointMultiply"); + PointMulCase[] memory cases = abi.decode(data, (PointMulCase[])); + for (uint i; i < cases.length; i++) { + PointMulCase memory c = cases[i]; + bytes memory parsedP = vm.parseBytes(c.P); + uint parsedD = vm.parseUint(c.d); + bytes memory parsedExpected = vm.parseBytes(c.expected); + Point memory expected = + wrapper.pointFromCompressedEncoded(parsedExpected); + ProjectivePoint memory p = + wrapper.pointFromCompressedEncoded(parsedP).toProjectivePoint(); + Point memory got = wrapper.mul(p, parsedD).intoPoint(); + assertTrue(got.eq(expected)); + } + } + function testVectors_ProjectivePoint_mul() public view { ProjectivePoint memory g = Secp256k1Arithmetic.G().toProjectivePoint(); @@ -610,6 +738,34 @@ contract Secp256k1ArithmeticTest is Test { // byte encoding. } + struct InvalidPointCase { + string P; + bool compress; + string description; + string exception; + } + + function testVectorsNobleCurves_Point_invalid() public { + string memory root = vm.projectRoot(); + string memory path = string.concat( + root, "/test/onchain/secp256k1/test-vectors/points.json" + ); + string memory json = vm.readFile(path); + bytes memory data = json.parseRaw(".invalid.pointCompress"); + InvalidPointCase[] memory cases = abi.decode(data, (InvalidPointCase[])); + for (uint i; i < cases.length; i++) { + InvalidPointCase memory c = cases[i]; + bytes memory parsedP = vm.parseBytes(c.P); + if (parsedP.length != 33) { + vm.expectRevert(); + wrapper.pointFromEncoded(parsedP); + } else { + vm.expectRevert(); + wrapper.pointFromCompressedEncoded(parsedP); + } + } + } + function test_Point_toCompressedEncoded_IfyParityEven() public view { // Some point, ie [2]G. Point memory point = Point({ diff --git a/test/onchain/secp256k1/test-vectors/points.json b/test/onchain/secp256k1/test-vectors/points.json new file mode 100644 index 0000000..8a4b65e --- /dev/null +++ b/test/onchain/secp256k1/test-vectors/points.json @@ -0,0 +1,10815 @@ +{ + "valid": { + "isPoint": [ + { + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "expected": true + }, + { + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "expected": true + }, + { + "P": "02c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5", + "expected": true + }, + { + "P": "02f9308a019258c31049344f85f89d5229b531c845836f99b08601f113bce036f9", + "expected": true + }, + { + "P": "02fffffffffffffffffffffffffffffffffffffffffffffffffffffffeeffffc2e", + "expected": true + }, + { + "P": "0479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8", + "expected": true + }, + { + "P": "0479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8", + "expected": true + }, + { + "P": "04c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee51ae168fea63dc339a3c58419466ceaeef7f632653266d0e1236431a950cfe52a", + "expected": true + }, + { + "P": "04f9308a019258c31049344f85f89d5229b531c845836f99b08601f113bce036f9388f7b0f632de8140fe337e62a37f3566500a99934c2231b6cb9fd7584b8e672", + "expected": true + }, + { + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffeeffffc2ea0981151316a5be677beb8ab97d4a15eba3e4638bfdc86038afffe1f445f4496", + "expected": true + }, + { + "P": "0100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "P": "0200000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "P": "0300000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "P": "0500000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "P": "0400000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000", + "expected": false + }, + { + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "expected": false + }, + { + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f0000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "expected": false + }, + { + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc300000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "expected": false + }, + { + "P": "010000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "P": "040000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "P": "050000000000000000000000000000000000000000000000000000000000000001", + "expected": false + }, + { + "P": "020000000000000000000000000000000000000000000000000000000000000000", + "expected": false + }, + { + "P": "030000000000000000000000000000000000000000000000000000000000000000", + "expected": false + }, + { + "P": "02fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "expected": false + }, + { + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "expected": false + }, + { + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "expected": false + }, + { + "P": "03936cb2bd56e681d360bbce6a3a7a1ccbf72f3ab8792edbc45fb08f55b929c588", + "expected": true + }, + { + "P": "02993e1095f5caa7548e55950d77ac3c2dd1e59f1cfce7f19b01849ff8398c9e09", + "expected": true + }, + { + "P": "02dca0df5a8e3f9547d1162f93e3ecf5f943e8e2dace37005daae069ac4a45cb88", + "expected": true + }, + { + "P": "028e834a9b951ba2de51a26e9ecc03509067d26fa1e4687a066aa458841bffd276", + "expected": true + }, + { + "P": "0300a566fc5d0b861a14494b305d90d4d392e0f2051adb84e3164e5a40cc5717b1", + "expected": true + }, + { + "P": "024e59d4d4df077c91ccd3ee298eb56a22e38397dba3517b5cdd6160a1a5a6beea", + "expected": true + }, + { + "P": "02c0b268004f6bd8614fa04c9d46b66e1d5a690c4a2e7a88a82d0d43bc52fb043c", + "expected": true + }, + { + "P": "0398298e37ca91b46819c51d5fdee822f0505e338d5301d2b9405ca955273166a4", + "expected": true + }, + { + "P": "02f03e6e95a7664cc37714be8be083c0027a4705842aeef960ac7693762ef60d06", + "expected": true + }, + { + "P": "02e042d44d8375359e8a9101b219bfb54f562e61bd55cb8311f09e1150ea53f970", + "expected": true + }, + { + "P": "03a2113cf152585d96791a42cdd78782757fbfb5c6b2c11b59857eb4f7fda0b0e8", + "expected": true + }, + { + "P": "03459ac94a4708e75d9827b498318467c15dee7e11b1acf184e91f963f6e5a9ca5", + "expected": true + }, + { + "P": "020192aa2c259e62b69eff8c9a41146db15b822891bc07d0d9fd43cfe67968c65f", + "expected": true + }, + { + "P": "022bb27f65b9fe3cc3aa23f2347ad789a62d0cdcbf92d7d571f3b13dacbcf92df9", + "expected": true + }, + { + "P": "03af4afcacce49ac751b5641c9374b1de119b30c09762a875224eb8da9957b6d2f", + "expected": true + }, + { + "P": "021b4d87177fb0fe0b900d5035e73b8fb1990f964175403f622ec7dd1d27026d29", + "expected": true + }, + { + "P": "0382ae5b423ba5537b83f14e618bf8764b993bc08188aaa0c99b825703b7749cbb", + "expected": true + }, + { + "P": "034cd032cdc72820498aeb0fdd25712aa4f6d263997cf7df140b8c42d44626b08c", + "expected": true + }, + { + "P": "0224ee8b8a1783eca5deef2ed43ffc0607fd7e8ca4297380a36406ea3f5261b451", + "expected": true + }, + { + "P": "02ad3dcb02317bbed0db0358167ac5f434c5ae435a37763f30ab32ad69ae6d7cf6", + "expected": true + }, + { + "P": "03c64259853a3b2dce84736231aee41e10a27926bb6dd0c545aa11a6010b844b89", + "expected": true + }, + { + "P": "038b56474b1e27c83a12f16dae5de3752964d8a760ab7825bd73fe65b8256cc44c", + "expected": true + }, + { + "P": "02f633e39fd1b59eb327d7cf74ffb59b24c42ad5eb08d9b143b1b2980809be21db", + "expected": true + }, + { + "P": "02cda3981026d8f2e478354c9056dc6a9b7e5d1ac04d6e5a3f94a7d7fc32935d4b", + "expected": true + }, + { + "P": "020ef8035248b300f941e29b606c2a3f312992008b8a65c81ae359eb2040bcbf52", + "expected": true + }, + { + "P": "03b4424c7e6e1019d850dbab5de4f7e612150224af0f349100dd610583891db192", + "expected": true + }, + { + "P": "03c31935acc46a2fd1eca7218af127ec80177e51f2b46815e57d04bd1a9e128d73", + "expected": true + }, + { + "P": "03857d5e1f088581abfeafd0ff12ba22833f37a36fc94773739aad66519ed27ea7", + "expected": true + }, + { + "P": "0298f46420bb3698cacf91987e9b6694f721ffb19b3c6d51cc300a006491314776", + "expected": true + }, + { + "P": "02bfd2ad3eb4e6c82e3a5a0b31580f19bc3ca8b47319bac49749dcb82386658ebb", + "expected": true + }, + { + "P": "03dce4bce6dab6e7907ec23ff69816e7261771127e381d129c30732d36f4ddf607", + "expected": true + }, + { + "P": "02208716566b6deea19a839ee48bead8a7a79a96161cf0e6694aee87ba561d06bc", + "expected": true + }, + { + "P": "03680a3a159b3264bdc6735decdc3d642080e5d2cab4e981a353e326168338b499", + "expected": true + }, + { + "P": "02197b6ac4c75562d9936b09b3eddc3c8df12237b4bee6a220c907e16d861c250d", + "expected": true + }, + { + "P": "02177fdc547a7a3307e5a49f85248f9a772583386ce398268eb6e0078d9040647d", + "expected": true + }, + { + "P": "02c9a6cbf7726fd02263a7ff27971392f42e6be1ac5ebd2eb3aee7af1de8b3f8f9", + "expected": true + }, + { + "P": "02894333b518f1fe68d77ba943e443b8cc57f814cd418d9a0487be664926eb8214", + "expected": true + }, + { + "P": "03049c38c88923ff6879bc7e607cb8148e5d293107cb0f31364778964c853b3bb8", + "expected": true + }, + { + "P": "034117175396b781f19b88c0c52d4cb32343e997b4f598da1a11765c6fe3c8b2cf", + "expected": true + }, + { + "P": "03b126c160765024a7fae3ab622ce47deb5c833ad0730f6eecaec151c126d482bf", + "expected": true + }, + { + "P": "0369de88712ea4f90848b9f7efe4bbf1072c57729831ee147825f490f175f0b034", + "expected": true + }, + { + "P": "0350378aa75b856b7e319324a7b9795cfa30408df09ed34a41c4521592284a5d00", + "expected": true + }, + { + "P": "033ccdb6734d618c1b59aca0aeb89e7dcc2e1029676d60d6d9776e7f8e71c226b6", + "expected": true + }, + { + "P": "0221a6624ed8be01c5cc8038dd1a9b8c2b903ae19dbf06887ae50ffd2c724c38c0", + "expected": true + }, + { + "P": "030cfd0315f86aeb3df021762ba6ee1a9064d7b72c39f3cae2402dbbe0a923801e", + "expected": true + }, + { + "P": "037944f914f4c3a2b6abd14696ef829f751d4ffc1ead3053a8c299b09ceb52ae7b", + "expected": true + }, + { + "P": "02e610b1b02b6046e07209bb6cc6531b607740e7af4a6c8d2bb3eae4c3198d2ae3", + "expected": true + }, + { + "P": "02a88abaf9416dfa5a0e99a426a5a0b0ce84180a7056aaa9529f1fcfcbd6183a09", + "expected": true + }, + { + "P": "027f9a280040bd03d22ae48ab62094158dc396eaeae5db7cd9d52e014782de3c27", + "expected": true + }, + { + "P": "024ce4966c7518668ed58e280a4afe92a19880f75db87ec02db6efbf612678283e", + "expected": true + }, + { + "P": "03913b5aa4d2c474002184262c3874bbd5daf1b7e15867087b4bc65ac220a57694", + "expected": true + }, + { + "P": "034781cd42657cb3f5fb3f55022105ce13c5bac38e84ba262039b3951699a565d5", + "expected": true + }, + { + "P": "03ad1d6b50d275f31d5ca08c1e4b420eb700267e0a6d2b1c27f38bed97e9f6cc29", + "expected": true + }, + { + "P": "03e69a24fbf617030c814b2a590938e03aa40315f05f1fb96b4077da05973e1273", + "expected": true + }, + { + "P": "0307d6fd8f4413448846ffa4113ac3adf72b32246ed9ca6469e167af841d2fc18b", + "expected": true + }, + { + "P": "020ea62d41351f426ba27bb6d5bf0811dc92c1101dae695af2c795ca3f87a22d5c", + "expected": true + }, + { + "P": "03e7c668b08f013a6ad8c9461047f261f1b9743b04fe64da786a5ef164ff7e3cf5", + "expected": true + }, + { + "P": "037454f71498cf82e871d072b8e42b4bb5ea3b23d0743f13b02862f229ab3b7e56", + "expected": true + }, + { + "P": 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}, + { + "P": "04187540819f763de7782939a71255ff97712a25c83e2a5e49c5725dcb6914a1b87abdbcc24e2524fe17ccf86ae57aedf5ef6fe08e336cf9498e39a6cfe1387217", + "compress": true, + "expected": "03187540819f763de7782939a71255ff97712a25c83e2a5e49c5725dcb6914a1b8" + }, + { + "P": "04187540819f763de7782939a71255ff97712a25c83e2a5e49c5725dcb6914a1b87abdbcc24e2524fe17ccf86ae57aedf5ef6fe08e336cf9498e39a6cfe1387217", + "compress": false, + "expected": "04187540819f763de7782939a71255ff97712a25c83e2a5e49c5725dcb6914a1b87abdbcc24e2524fe17ccf86ae57aedf5ef6fe08e336cf9498e39a6cfe1387217" + }, + { + "P": "03d5747c593533e620dc7b576febd13fb758525670eeb42006166fcfbaf273bb41", + "compress": true, + "expected": "03d5747c593533e620dc7b576febd13fb758525670eeb42006166fcfbaf273bb41" + }, + { + "P": "03d5747c593533e620dc7b576febd13fb758525670eeb42006166fcfbaf273bb41", + "compress": false, + "expected": 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"P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "0000000000000000000000000000000000000000000000000000000000000002", + "expected": "02c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5" + }, + { + "description": "1 * 4 == 4", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "0000000000000000000000000000000000000000000000000000000000000004", + "expected": "02e493dbf1c10d80f3581e4904930b1404cc6c13900ee0758474fa94abe8c4cd13" + }, + { + "description": "2 * 1 == 2", + "P": "02c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "expected": "02c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5" + }, + { + "description": "2 * 2 == 4", + "P": "02c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5", + "d": "0000000000000000000000000000000000000000000000000000000000000002", + "expected": 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}, + { + "description": "Bad sequence prefix", + "P": "0200000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "0200000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0300000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": 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"04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f0000000000000000000000000000000000000000000000000000000000000001", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== P)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad Y coordinate (== P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad Y coordinate (== P)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (> P)", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc300000000000000000000000000000000000000000000000000000000000000001", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (> P)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc300000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad Y coordinate (> P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad Y coordinate (> P)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "010000000000000000000000000000000000000000000000000000000000000001", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "010000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "040000000000000000000000000000000000000000000000000000000000000001", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "040000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "050000000000000000000000000000000000000000000000000000000000000001", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "050000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "020000000000000000000000000000000000000000000000000000000000000000", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "020000000000000000000000000000000000000000000000000000000000000000", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "030000000000000000000000000000000000000000000000000000000000000000", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "030000000000000000000000000000000000000000000000000000000000000000", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== P)", + "P": "02fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== P)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "02fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== P)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (> P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "Q": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (> P)", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "Q": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "exception": "received invalid point" + } + ], + "pointAddScalar": [ + { + "description": "-2 + 2 == 0", + "P": "03c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5", + "d": "0000000000000000000000000000000000000000000000000000000000000002", + "exception": "Tweaked point at infinity" + }, + { + "description": "1 + -1 == 0", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364140", + "exception": "Tweaked point at infinity" + }, + { + "description": "-1 + 1 == 0", + "P": "0379be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "Tweaked point at infinity" + }, + { + "description": "Normalize Scalar doesn't accept 0. -1 + 0 == -1", + "P": "0379be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "0000000000000000000000000000000000000000000000000000000000000000", + "exception": "Expected private key" + }, + { + "description": "Uncompressed: Bad sequence prefix", + "P": "0100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Uncompressed: Bad sequence prefix", + "P": "0200000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Uncompressed: Bad sequence prefix", + "P": "0300000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Uncompressed: Bad sequence prefix", + "P": "0500000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Uncompressed: Bad X coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad Y coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad X/Y coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad X coordinate (== P)", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f0000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad Y coordinate (== P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad X coordinate (> P)", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc300000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad Y coordinate (> P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Bad sequence prefix", + "P": "010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "040000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "050000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Even Y: Bad X coordinate (== 0)", + "P": "020000000000000000000000000000000000000000000000000000000000000000", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Odd Y: Bad X coordinate (== 0)", + "P": "030000000000000000000000000000000000000000000000000000000000000000", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Even Y: Bad X coordinate (== P)", + "P": "02fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Odd Y: Bad X coordinate (== P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Odd Y: Bad X coordinate (> P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Tweak >= G", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141", + "exception": "Expected private key" + }, + { + "description": "Tweak >= G", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364142", + "exception": "Expected private key" + }, + { + "description": "Tweak >= G", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "exception": "Expected private key" + } + ], + "pointCompress": [ + { + "description": "Bad sequence prefix", + "P": "0100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0200000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0300000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "0500000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad Y coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X/Y coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== P)", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f0000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad Y coordinate (== P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (> P)", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc300000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad Y coordinate (> P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "010000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "040000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "050000000000000000000000000000000000000000000000000000000000000001", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "020000000000000000000000000000000000000000000000000000000000000000", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "030000000000000000000000000000000000000000000000000000000000000000", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== P)", + "P": "02fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (== P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "compress": true, + "exception": "received invalid point" + }, + { + "description": "Bad X coordinate (> P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "compress": true, + "exception": "received invalid point" + } + ], + "pointFromScalar": [ + { + "description": "Private key == 0", + "d": "0000000000000000000000000000000000000000000000000000000000000000", + "exception": "Expected Private" + }, + { + "description": "Private key >= G", + "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141", + "exception": "Expected Private" + }, + { + "description": "Private key >= G", + "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364142", + "exception": "Expected Private" + }, + { + "description": "Private key >= G", + "d": "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "exception": "Expected Private" + } + ], + "pointMultiply": [ + { + "description": "1 * 0 == 0", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "0000000000000000000000000000000000000000000000000000000000000000", + "exception": "valid private scalar" + }, + { + "description": "Uncompressed: Bad sequence prefix", + "P": "0100000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Uncompressed: Bad sequence prefix", + "P": "0200000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Uncompressed: Bad sequence prefix", + "P": "0300000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Uncompressed: Bad sequence prefix", + "P": "0500000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Uncompressed: Bad X coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad Y coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad X/Y coordinate (== 0)", + "P": "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad X coordinate (== P)", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f0000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad Y coordinate (== P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad X coordinate (> P)", + "P": "04fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc300000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Uncompressed: Bad Y coordinate (> P)", + "P": "040000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on elliptic curve" + }, + { + "description": "Bad sequence prefix", + "P": "010000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "040000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Bad sequence prefix", + "P": "050000000000000000000000000000000000000000000000000000000000000001", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "received invalid point" + }, + { + "description": "Even Y: Bad X coordinate (== 0)", + "P": "020000000000000000000000000000000000000000000000000000000000000000", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Bad X coordinate (== 0)", + "P": "030000000000000000000000000000000000000000000000000000000000000000", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Bad X coordinate (== P)", + "P": "02fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Bad X coordinate (== P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Bad X coordinate (> P)", + "P": "03fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "d": "0000000000000000000000000000000000000000000000000000000000000001", + "exception": "not on curve" + }, + { + "description": "Tweak >= G", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141", + "exception": "Expected valid private scalar" + }, + { + "description": "Tweak >= G", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364142", + "exception": "Expected valid private scalar" + }, + { + "description": "Tweak >= G", + "P": "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "d": "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "exception": "Expected valid private scalar" + } + ] + } +}