derosuite/crypto/ringct/edwards25519_test.go

// Copyright 2017-2018 DERO Project. All rights reserved.
// Use of this source code in any form is governed by RESEARCH license.
// license can be found in the LICENSE file.
// GPG: 0F39 E425 8C65 3947 702A  8234 08B2 0360 A03A 9DE8
//
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL
// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF
// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

package ringct

import (
	"testing"
)

func TestScMulSub(t *testing.T) {
	tests := []struct {
		name    string
		aHex    string
		bHex    string
		cHex    string
		wantHex string
	}{
		{
			name:    "simple",
			aHex:    "0100000000000000000000000000000000000000000000000000000000000000",
			bHex:    "0100000000000000000000000000000000000000000000000000000000000000",
			cHex:    "0200000000000000000000000000000000000000000000000000000000000000",
			wantHex: "0100000000000000000000000000000000000000000000000000000000000000",
		},
		{
			name:    "more complex",
			aHex:    "1000000000000000000000000000000000000000000000000000000000000000",
			bHex:    "1000000000000000000000000000000000000000000000000000000000000000",
			cHex:    "0002000000000000000000000000000000000000000000000000000000000000",
			wantHex: "0001000000000000000000000000000000000000000000000000000000000000",
		},
		{
			name:    "more complex",
			aHex:    "0000000000000000000000000000000000000000000000000000000000000010",
			bHex:    "0000000000000000000000000000000000000000000000000000000000000010",
			cHex:    "0000000000000000000000000000000000000000000000000000000000000000",
			wantHex: "844ae3b1946c2475b8f95e806867dbac410ae82d8c1331c265cf83e4be664c0e",
		},
	}
	for _, test := range tests {
		a := HexToKey(test.aHex)
		b := HexToKey(test.bHex)
		c := HexToKey(test.cHex)
		want := HexToKey(test.wantHex)
		var got Key
		ScMulSub(&got, &a, &b, &c)
		if want != got {
			t.Errorf("%s: want %x, got %x", test.name, want, got)
		}
	}
}

func TestScalarMult(t *testing.T) {
	tests := []struct {
		name      string
		scalarHex string
		pointHex  string
		wantHex   string
	}{
		{
			name:      "zero",
			scalarHex: "0000000000000000000000000000000000000000000000000000000000000000",
			pointHex:  "0100000000000000000000000000000000000000000000000000000000000000",
			wantHex:   "0100000000000000000000000000000000000000000000000000000000000000",
		},
		{
			name:      "basepoint * 1",
			scalarHex: "0100000000000000000000000000000000000000000000000000000000000000",
			pointHex:  "5866666666666666666666666666666666666666666666666666666666666666",
			wantHex:   "5866666666666666666666666666666666666666666666666666666666666666",
		},
		{
			name:      "basepoint * 8",
			scalarHex: "0800000000000000000000000000000000000000000000000000000000000000",
			pointHex:  "5866666666666666666666666666666666666666666666666666666666666666",
			wantHex:   "b4b937fca95b2f1e93e41e62fc3c78818ff38a66096fad6e7973e5c90006d321",
		},
		{
			name:      "basepoint * 2",
			scalarHex: "0200000000000000000000000000000000000000000000000000000000000000",
			pointHex:  "2f1132ca61ab38dff00f2fea3228f24c6c71d58085b80e47e19515cb27e8d047",
			wantHex:   "b4b937fca95b2f1e93e41e62fc3c78818ff38a66096fad6e7973e5c90006d321",
		},
	}
	for _, test := range tests {
		scalarBytes := HexToKey(test.scalarHex)
		pointBytes := HexToKey(test.pointHex)
		want := HexToKey(test.wantHex)
		point := new(ExtendedGroupElement)
		point.FromBytes(&pointBytes)
		result := new(ProjectiveGroupElement)
		GeScalarMult(result, &scalarBytes, point)
		var got Key
		result.ToBytes(&got)
		if want != got {
			t.Errorf("%s: want %x, got %x", test.name, want, got)
		}
	}
}

func TestGeMul8(t *testing.T) {
	tests := []struct {
		name     string
		pointHex string
		wantHex  string
	}{
		{
			name:     "zero",
			pointHex: "0100000000000000000000000000000000000000000000000000000000000000",
			wantHex:  "0100000000000000000000000000000000000000000000000000000000000000",
		},
		{
			name:     "basepoint",
			pointHex: "5866666666666666666666666666666666666666666666666666666666666666",
			wantHex:  "b4b937fca95b2f1e93e41e62fc3c78818ff38a66096fad6e7973e5c90006d321",
		},
	}
	for _, test := range tests {
		pointBytes := HexToKey(test.pointHex)
		want := HexToKey(test.wantHex)
		tmp := new(ExtendedGroupElement)
		tmp.FromBytes(&pointBytes)
		point := new(ProjectiveGroupElement)
		tmp.ToProjective(point)
		tmp2 := new(CompletedGroupElement)
		result := new(ExtendedGroupElement)
		var got Key
		GeMul8(tmp2, point)
		tmp2.ToExtended(result)
		result.ToBytes(&got)
		if want != got {
			t.Errorf("%s: want %x, got %x", test.name, want, got)
		}
	}
}

func TestGeDoubleScalarMultVartime(t *testing.T) {
	tests := []struct {
		name       string
		pointHex   string
		scalar1Hex string
		scalar2Hex string
		wantHex    string
	}{
		{
			name:       "zero",
			pointHex:   "0100000000000000000000000000000000000000000000000000000000000000",
			scalar1Hex: "0000000000000000000000000000000000000000000000000000000000000000",
			scalar2Hex: "0000000000000000000000000000000000000000000000000000000000000000",
			wantHex:    "0100000000000000000000000000000000000000000000000000000000000000",
		},
		{
			name:       "8 times base point only",
			pointHex:   "0100000000000000000000000000000000000000000000000000000000000000",
			scalar1Hex: "0000000000000000000000000000000000000000000000000000000000000000",
			scalar2Hex: "0800000000000000000000000000000000000000000000000000000000000000",
			wantHex:    "b4b937fca95b2f1e93e41e62fc3c78818ff38a66096fad6e7973e5c90006d321",
		},
		{
			name:       "2 times non-base-point",
			pointHex:   "2f1132ca61ab38dff00f2fea3228f24c6c71d58085b80e47e19515cb27e8d047",
			scalar1Hex: "0200000000000000000000000000000000000000000000000000000000000000",
			scalar2Hex: "0000000000000000000000000000000000000000000000000000000000000000",
			wantHex:    "b4b937fca95b2f1e93e41e62fc3c78818ff38a66096fad6e7973e5c90006d321",
		},
		{
			name:       "Combination",
			pointHex:   "2f1132ca61ab38dff00f2fea3228f24c6c71d58085b80e47e19515cb27e8d047",
			scalar1Hex: "0100000000000000000000000000000000000000000000000000000000000000",
			scalar2Hex: "0400000000000000000000000000000000000000000000000000000000000000",
			wantHex:    "b4b937fca95b2f1e93e41e62fc3c78818ff38a66096fad6e7973e5c90006d321",
		},
	}
	for _, test := range tests {
		pointBytes := HexToKey(test.pointHex)
		a := HexToKey(test.scalar1Hex)
		b := HexToKey(test.scalar2Hex)
		want := HexToKey(test.wantHex)
		point := new(ExtendedGroupElement)
		point.FromBytes(&pointBytes)
		result := new(ProjectiveGroupElement)
		GeDoubleScalarMultVartime(result, &a, point, &b)
		var got Key
		result.ToBytes(&got)
		if want != got {
			t.Errorf("%s: want %x, got %x", test.name, want, got)
		}
	}
}

func TestGeDoubleScalarMultPrecompVartime(t *testing.T) {
	tests := []struct {
		name       string
		point1Hex  string
		point2Hex  string
		scalar1Hex string
		scalar2Hex string
		wantHex    string
	}{
		{
			name:       "zero",
			point1Hex:  "0100000000000000000000000000000000000000000000000000000000000000",
			point2Hex:  "0100000000000000000000000000000000000000000000000000000000000000",
			scalar1Hex: "0000000000000000000000000000000000000000000000000000000000000000",
			scalar2Hex: "0000000000000000000000000000000000000000000000000000000000000000",
			wantHex:    "0100000000000000000000000000000000000000000000000000000000000000",
		},
		{
			name:       "scalar 1 only",
			point1Hex:  "5866666666666666666666666666666666666666666666666666666666666666",
			point2Hex:  "0100000000000000000000000000000000000000000000000000000000000000",
			scalar1Hex: "0800000000000000000000000000000000000000000000000000000000000000",
			scalar2Hex: "0000000000000000000000000000000000000000000000000000000000000000",
			wantHex:    "b4b937fca95b2f1e93e41e62fc3c78818ff38a66096fad6e7973e5c90006d321",
		},
		{
			name:       "scalar 2 only",
			point1Hex:  "0100000000000000000000000000000000000000000000000000000000000000",
			point2Hex:  "5866666666666666666666666666666666666666666666666666666666666666",
			scalar1Hex: "0000000000000000000000000000000000000000000000000000000000000000",
			scalar2Hex: "0800000000000000000000000000000000000000000000000000000000000000",
			wantHex:    "b4b937fca95b2f1e93e41e62fc3c78818ff38a66096fad6e7973e5c90006d321",
		},
		{
			name:       "Combination",
			point1Hex:  "2f1132ca61ab38dff00f2fea3228f24c6c71d58085b80e47e19515cb27e8d047",
			point2Hex:  "5866666666666666666666666666666666666666666666666666666666666666",
			scalar1Hex: "0100000000000000000000000000000000000000000000000000000000000000",
			scalar2Hex: "0400000000000000000000000000000000000000000000000000000000000000",
			wantHex:    "b4b937fca95b2f1e93e41e62fc3c78818ff38a66096fad6e7973e5c90006d321",
		},
	}
	for _, test := range tests {
		point1Bytes := HexToKey(test.point1Hex)
		point2Bytes := HexToKey(test.point2Hex)
		a := HexToKey(test.scalar1Hex)
		b := HexToKey(test.scalar2Hex)
		want := HexToKey(test.wantHex)
		point1 := new(ExtendedGroupElement)
		point1.FromBytes(&point1Bytes)
		point2 := new(ExtendedGroupElement)
		point2.FromBytes(&point2Bytes)
		var point2Precomp [8]CachedGroupElement
		GePrecompute(&point2Precomp, point2)
		result := new(ProjectiveGroupElement)
		GeDoubleScalarMultPrecompVartime(result, &a, point1, &b, &point2Precomp)
		var got Key
		result.ToBytes(&got)
		if want != got {
			t.Errorf("%s: want %x, got %x", test.name, want, got)
		}
	}
}

func TestScValid(t *testing.T) {
	// All tests from github.com/monero-project/monero/tests/crypto/tests.txt
	tests := []struct {
		scalarHex string
		valid     bool
	}{
		{
			scalarHex: "ac10e070c8574ef374bdd1c5dbe9bacfd927f9ae0705cf08018ff865f6092d0f",
			valid:     true,
		},
		{
			scalarHex: "fa939388e8cb0ffc5c776cc517edc2a9457c11a89820a7bee91654ce2e2fb300",
			valid:     true,
		},
		{
			scalarHex: "6d728f89e567522dffe81cf641c2e483e2cee7051c1b3cd9cd38cba09d2dc900",
			valid:     true,
		},
		{
			scalarHex: "18fd66f7a0874de792f12a1b2add7d294100ea454537ae5794d0abc91dbf098a",
			valid:     false,
		},
		{
			scalarHex: "fdb4cee00230c448aeaa4790dd12e855eca6223d81dab6bfe3fe99ce5e702325",
			valid:     false,
		},
		{
			scalarHex: "f3ab5c4a64f9afbd48c75ad25700996a69504d31c75a6aa8beb24d178cfc32ba",
			valid:     false,
		},
		{
			scalarHex: "167e88e9298926ecd66d32a890148a9adcfb80a7ecc69396edc5f5ee8848ce91",
			valid:     false,
		},
		{
			scalarHex: "a9172ced17605ab2ba82caec382f1176fe6a1e0b92a9c95679978b3999d22605",
			valid:     true,
		},
		{
			scalarHex: "44f65ce00e64cf29e07bf3843e8e43e83b8b26d3dfcd83160d9a3fedda3fc908",
			valid:     true,
		},
		{
			scalarHex: "69951c807647f4dea33f8a40b0ddef999a9e8efd1b1b176f45fb92aae6287000",
			valid:     true,
		},
		{
			scalarHex: "dcb6f94312b4b815101af10775d189301d063816b0aa9b9ac028c0eb9b17dd0e",
			valid:     true,
		},
		{
			scalarHex: "a1a9574a90bed7f58bfd4c3295e181e152a4a39f9ad56520947e94fea40dfe2e",
			valid:     false,
		},
		{
			scalarHex: "757ebb27b14433f3ed696cd291825eba555af0863862216a98cf3080432bda01",
			valid:     true,
		},
		{
			scalarHex: "a7401d68c7956d41a05d8c6c1a3cc692cc269ad8a5837f93ac2c7654abaebf0e",
			valid:     true,
		},
		{
			scalarHex: "7c84ef4d9627529723f5e171a88bba91118192e6e19929204a6d23f5a541850b",
			valid:     true,
		},
		{
			scalarHex: "ebe4b2f9eadd52271e1115aa3b89b7bb3f68d58bf74d75486b77e6ae8216f609",
			valid:     true,
		},
		{
			scalarHex: "6221caf5dfd623587ca7aac45f5312faf1c2847d7bfbc5c46f88fd933970c866",
			valid:     false,
		},
		{
			scalarHex: "b38334b41f0b829bf3a2ea73b58c16afb56ccba5144668e78257ed4aa9a33a5e",
			valid:     false,
		},
		{
			scalarHex: "92e5df37f5412d9e9910cd28d27138ba46bdd4dee5dab1125f200f0a4e66f01c",
			valid:     false,
		},
		{
			scalarHex: "2d1717fe2965133009bdcf0c13b02ca85df4dc23d969d7b16fdab94341c2b90e",
			valid:     true,
		},
		{
			scalarHex: "82d771565024cf4b5c9add6d10a4114a2fbdbf7626f03749c8bddcf6c6feee03",
			valid:     true,
		},
		{
			scalarHex: "2db0f3d9bf47666bb40ae25ef7508296af2ef665a5333efff92c9daee5ecd986",
			valid:     false,
		},
		{
			scalarHex: "47883a3f0b0e624512887f3dae6f401b2f02eb8950eb8e741f07347108fbea14",
			valid:     false,
		},
		{
			scalarHex: "dae25f27f2756b8270f78015b1beafbd03a8d67a4dd940ee9550cecae9f3560f",
			valid:     true,
		},
		{
			scalarHex: "bab79d355572361259484ca77308943b7c71f5831be5dde11b3c7a26ac6e9a01",
			valid:     true,
		},
		{
			scalarHex: "f0bf30a9862d51fd8d1ca3a4e5a0e4330a5beab751af075b2e46f3e2d0297101",
			valid:     true,
		},
		{
			scalarHex: "a94270659333c985ab1461e9820f219416ad76f551a34f4c983ca967aa6b618c",
			valid:     false,
		},
		{
			scalarHex: "98e582e9d0e485e6b756e44b1cb187e9f2d4e16c02d2713a41dcee6d7fac0205",
			valid:     true,
		},
		{
			scalarHex: "62b57869238e72f05992e01f07c7a26c71ef9e3078ee7390cd4fc6406d3b37e3",
			valid:     false,
		},
		{
			scalarHex: "c751566f5420232cd626d2bd8073debedf219a0a28a7390200a2df9df8981647",
			valid:     false,
		},
		{
			scalarHex: "cfafede7d76def164bf15047a388365d712a600f1369bf692cb2dcb249f66508",
			valid:     true,
		},
		{
			scalarHex: "c0eb03c2c46a77b0cf67bea7d547b9b4d02116f70702790398bdabbfa775100a",
			valid:     true,
		},
		{
			scalarHex: "58c5afbb7b334e921bb46eeee1dfebadfbbc3a77c420b0b325b9470eff94cc0e",
			valid:     true,
		},
		{
			scalarHex: "b31b178b4dc8f7a7c24f6eb0987e32b8a9446ce8207186259074cc3d925c530d",
			valid:     true,
		},
		{
			scalarHex: "467b2c5f63120744b5aee7ec255d170aba83babdec9e76c2690300540eb17483",
			valid:     false,
		},
		{
			scalarHex: "9bc3be487bea81da020af0353660878e7deca693ac81278fac343b8b1809bd9c",
			valid:     false,
		},
		{
			scalarHex: "162cdb42f9d9147118537cc4d5eadb8f589f6de3929188f6c41428bdab2c650e",
			valid:     true,
		},
		{
			scalarHex: "6eeb88f685d1b5c99f8c27dcadf95f5bea9082e2735a4f8aafc3c3a35f749002",
			valid:     true,
		},
		{
			scalarHex: "e03bb5c9bedc41d324ca6d988e50b7e7c6cd6d2b1e471b752a00a10a19c9a604",
			valid:     true,
		},
		{
			scalarHex: "4fa064dcef2f14fc453c30865583468ad35af81c460a643b11285c15f2babb04",
			valid:     true,
		},
		{
			scalarHex: "bf067a7b53dab7fcd6a1f5a2c8b9b54c262e9be5ea5892dba5e4ad25585be702",
			valid:     true,
		},
		{
			scalarHex: "14d8d255c2156bb12133d5ee792061a21d3fbda2f14310753f3a90c2ad4ccbc8",
			valid:     false,
		},
		{
			scalarHex: "81e78a37b7e2dfed35ad8228a6c4a6f0aa34cc1de43da23895c5c86790804e01",
			valid:     true,
		},
		{
			scalarHex: "62366805970fb07b877bf1705d9c10517c6667ab7586d9afa82c30236a72f50f",
			valid:     true,
		},
		{
			scalarHex: "bb3b0e27b7c57052e5ac20bc6390229f57c6dbc8213dbc4ee1cbb9e174e389f9",
			valid:     false,
		},
		{
			scalarHex: "5c4039f162531ce9129667ed424446ef375a18da246a72c0dab00321fa04e929",
			valid:     false,
		},
		{
			scalarHex: "8d41a450d98a6f354266e36510921649e5229412976f8f318a3090d390a46807",
			valid:     true,
		},
		{
			scalarHex: "2fbce4441723379b8b6ef417803eb9220c8fee42f72da7e36e2c64b51628a10c",
			valid:     true,
		},
		{
			scalarHex: "5bbf0e5b58e3df89a5f4c607e3033fff8b9643fc900813f4ea50b889260bb004",
			valid:     true,
		},
		{
			scalarHex: "e5acfcb2ecb7175f90aa24db107cea1be7a45bc471c4c65b9f46535768545de5",
			valid:     false,
		},
		{
			scalarHex: "fae6e8d7226e6dc25faafdd8b5c63b68587980f6e76ea59b8595f18f64a96bd5",
			valid:     false,
		},
		{
			scalarHex: "6736f7939157ccee066a40056c13d96230ca5ffd014b0ebb0a454e3d8ea6830f",
			valid:     true,
		},
		{
			scalarHex: "b2b490d52f6e4d9ef14fc1ab3e1e97160693ba5d1220e4d63956eca316693504",
			valid:     true,
		},
		{
			scalarHex: "dca490cb4e21589e045150e8c0876871f08e6b3886c6393c6348bfb432799079",
			valid:     false,
		},
		{
			scalarHex: "ca2663d84aa7d7581ac4f0a270a685019178f5288013d163028d321e92b04901",
			valid:     true,
		},
		{
			scalarHex: "7dd277472249a53620d6b21c1ab0424024581b5ae3e6ecb9a46af8511b55a408",
			valid:     true,
		},
		{
			scalarHex: "30f07adb405de73987d81fcba3d523d420d130fe753afbf3dd19d5f08e8a1356",
			valid:     false,
		},
		{
			scalarHex: "cc31de9889440c695df43a9c621a7156bc064b161be2fdef35dd8ae0e1017fe2",
			valid:     false,
		},
		{
			scalarHex: "962ac1be6677cf0d298dd1244501e6a164a915df61b83c2837f80a84541e2e03",
			valid:     true,
		},
		{
			scalarHex: "e0a1e1c48f5dfb7c0faddd9186214ec2f81fb0bc3aca423ccf0e538cf43a2bd5",
			valid:     false,
		},
		{
			scalarHex: "8ed93780cbd46092acce856a8c691edbb8419deec5acfb26fcf82419b4a964b9",
			valid:     false,
		},
		{
			scalarHex: "f62cf00cac227d2b96e7f96268f0d606ad5924b0efb64e623e25584f993c93a8",
			valid:     false,
		},
		{
			scalarHex: "e49eacd6858efad9f3bedba8b9edff5ff3d5bd622926d5e96e6e8c8752a43d25",
			valid:     false,
		},
		{
			scalarHex: "ed424965b9a79c2f6611d7d4bcbe5bae4dbf2c8130141c714acc95c492061411",
			valid:     false,
		},
		{
			scalarHex: "7ea2bb2a4dab662c3adf71eb959314208ff9dbf50b3cb1a7940e4a4d6d797e0e",
			valid:     true,
		},
		{
			scalarHex: "96fc939742b8ed518bb7aa4bb6c9bbe3fddded6b9441d9ea27712c377e0bdff1",
			valid:     false,
		},
		{
			scalarHex: "c5122ad5575b54ebce3f1d1d97c3bb0cfeb9e5ea3bb223ab63189ced40579cf4",
			valid:     false,
		},
		{
			scalarHex: "c9147f1b42890b089ae2dfdc27f69b4a29c67b8bc0264259fcf71c39e31b893c",
			valid:     false,
		},
		{
			scalarHex: "9292516356f70e84852c3a563970bff369dfc39325c64432610baa0f31f2320e",
			valid:     true,
		},
		{
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			scalarHex: "ef10fc4f79bdfade5af636fd41a7e5c48e966b5562693fd7a95568f52d472d06",
			valid:     true,
		},
		{
			scalarHex: "0ce4ab8a2f342f7ff2fd10b1b734d5333c7f8240075b2ae8522313d192d8a01d",
			valid:     false,
		},
		{
			scalarHex: "745a1228beb514bac4521c342b345f301fb28e7bfebb85d3c22497d4474fe904",
			valid:     true,
		},
		{
			scalarHex: "684cfecbb321a4236354e94fd8bc74c22a28f1a3ee7e21193b0cf264204fce51",
			valid:     false,
		},
		{
			scalarHex: "14a31b0cf4630e8e74730979d661c1902ab2f47823244ff7809be751b273b00c",
			valid:     true,
		},
		{
			scalarHex: "6c0c31a9e40faf4ead079582dae043bee80f27fbb8b76ffa5c960083d578ac0f",
			valid:     true,
		},
		{
			scalarHex: "ef49cd4030926ad3dbc08425fedfed7de48a1ca119259abec5600be5b60deb0f",
			valid:     true,
		},
		{
			scalarHex: "b432db4174848e42b9a680c74d66e746a48cb397b4008815064178cf7acec91c",
			valid:     false,
		},
		{
			scalarHex: "8c041643a91de5b9a652c3edb1b2512656daf33521197f7ab01056aa04d33708",
			valid:     true,
		},
		{
			scalarHex: "d683e2784298e070cd686eddc848e1ce3205c42822650cf9bc2301fb9a330564",
			valid:     false,
		},
		{
			scalarHex: "48ad5703dbf88a809d1bde1d295c4e51e3cf24215a3136c251c165505f80e84e",
			valid:     false,
		},
		{
			scalarHex: "19d22f694db4b90b5500af61b7d6a26d5568b4a3048ddef5709698ed6df8820b",
			valid:     true,
		},
		{
			scalarHex: "f8d5164c397f22c6b8cf3ae26ebfa4a9fe893afc2d7aec1f7c4f1e46c9eca306",
			valid:     true,
		},
		{
			scalarHex: "64a5a328e130e416cf1b3fb3accd3bd032f66df404f5364e0ec9d18d652196c2",
			valid:     false,
		},
		{
			scalarHex: "300931fb2c3670af36168883af39e10e1593945114e11c4eee9547d253f4f504",
			valid:     true,
		},
		{
			scalarHex: "0bbe9316029ea6d59883574d39d1fcd3af3344d73033e2b615f0883361a11602",
			valid:     true,
		},
		{
			scalarHex: "75609b2f7a8c04053ba7c1dbfc1b7c2a8f00720817d1abd2dc1db11645bbaaa1",
			valid:     false,
		},
		{
			scalarHex: "fa98e50dd3e3fa8308ffe861194920ec6b4f431eb34c67d7332a92830a7cb20d",
			valid:     true,
		},
		{
			scalarHex: "50b48576275008950b552a94e32d25c0835cb6dd44e146519848c9a7ee003707",
			valid:     true,
		},
		{
			scalarHex: "032487e8b30ddec54b5cf90cbc38dde71104169e48228c2336916f1575c1c005",
			valid:     true,
		},
		{
			scalarHex: "574fe8ee31b42bcb9224c34c34ddca2908db4b5f4f630ce76244d1257f81e504",
			valid:     true,
		},
		{
			scalarHex: "a4bba7f4765850dd77a67e56cf89e3c8967ba8f3c72ba14c7ea014202f81780b",
			valid:     true,
		},
		{
			scalarHex: "90eca818a69f6b8c52bddee273f37eaa96c58f2322fa5f09de36d606edc2ef04",
			valid:     true,
		},
		{
			scalarHex: "ac689dc28cb94239b78e6dd66249feec0519686e0a3f974ef8d4760d320de842",
			valid:     false,
		},
		{
			scalarHex: "a578412ffcd608f1fc4d77b954b5650d5016a24747e08664373a6c1c8d61c71a",
			valid:     false,
		},
		{
			scalarHex: "d5b2f9a4b3ae8dcfc1a2ade16b320d7d00180ad72e9ba500cfeceb4e45335c00",
			valid:     true,
		},
		{
			scalarHex: "ba26b0105b5d74df01e27ac128303cf4f139b2d164772ce56a31b5787b5d2207",
			valid:     true,
		},
		{
			scalarHex: "fb9e9e404f5901ffc02ba848ed33c98a88365ff161b4d484f67f8d4d2bc9fe85",
			valid:     false,
		},
		{
			scalarHex: "e326865f9ee2b68fdff8c36d39672f897669d9efb52bd4b4d037f4e219f72887",
			valid:     false,
		},
		{
			scalarHex: "8d911a2a666472a69614bbdd887169936e4e4384992cffac6f5c8ad3f81da708",
			valid:     true,
		},
		{
			scalarHex: "a9c04591640432f35dcdcdbe5027080c31613253f01a8e4fb1c2ed04f3e8c2a1",
			valid:     false,
		},
		{
			scalarHex: "e5e18376596aa363f1de26fb318eadaee85792bb7e51af164ba80da6e358ac03",
			valid:     true,
		},
		{
			scalarHex: "2632ef6ab45b46f2a48b5691c3e82e54e50ba74f23751aa602ec77a39596a10d",
			valid:     true,
		},
		{
			scalarHex: "f110202b14458789eb17321f757032e3515012143e8dd156a401d0b48ebb6287",
			valid:     false,
		},
		{
			scalarHex: "82d4274f7518f0cf92637657c69407a5fccb685ce9de8fa617a6f6f6b86c290d",
			valid:     true,
		},
		{
			scalarHex: "e1d9512e60b4dab6b55f14f56c320ad8eda6b8e378c5f873ce5d89c622c76c0c",
			valid:     true,
		},
		{
			scalarHex: "adf9a384148ff31f52f4e2365c5234b93edd574df1b5b664650859a764130f07",
			valid:     true,
		},
		{
			scalarHex: "f5c8043c4b5a3a1ded6d02af7e048d298872e8fedbdfdb544b881215313956f9",
			valid:     false,
		},
		{
			scalarHex: "cd7d1bd7c2bf26b7060d2407dbd88a5ba4add8044436bcbf6e00e690eae29699",
			valid:     false,
		},
		{
			scalarHex: "af5b7ede9808e45e80f427d27e660443851ee2063d53c23dacb487b6b375807f",
			valid:     false,
		},
		{
			scalarHex: "3a854a6125fbae08eeaf8f29177b83cec19f8f23f82e1c0213acfda03a19a057",
			valid:     false,
		},
		{
			scalarHex: "307e8bc876b71a1ad7da7e3f8687d3173a6605184b912d80b34cec7abd09fd05",
			valid:     true,
		},
		{
			scalarHex: "5936e762cfe201af05d2e7082a10e5f58cb71cee179406eb026b05437211f5a0",
			valid:     false,
		},
		{
			scalarHex: "c02d9bb9b3ce61da67d7eb839ad6135b28485be17b6749a5d07a3a442e33890a",
			valid:     true,
		},
		{
			scalarHex: "766459f999aa16992ec9639aed4e1ecdd7b78c6ab7cc63400f2f2dbad02796e7",
			valid:     false,
		},
		{
			scalarHex: "39be058fddfed6dee0840cd03f7c407c3a30b0a0e87cc8ada9772b4150fd9a07",
			valid:     true,
		},
		{
			scalarHex: "18c994dad23375e3860e21ce5d430ef2b876820bd0fe9e84a3b3a5ba45c790c5",
			valid:     false,
		},
		{
			scalarHex: "0583e64db042f0e22e7abd759ef1b51ab5155314caf362de34781e8da9b4a20b",
			valid:     true,
		},
		{
			scalarHex: "8d71c7122df856668387356a704a0bcd1865493b65ab254b24c9bd06c5414386",
			valid:     false,
		},
		{
			scalarHex: "ca94f5f35fe069a057e9a9431e7ea3b99c7efd9700c0f838d3b99ab82648d343",
			valid:     false,
		},
		{
			scalarHex: "850d3c5acb9103049e0ce06fcd64a543a38bf20fb31ce3a47e275d1e043c5506",
			valid:     true,
		},
		{
			scalarHex: "06580accc5c48aa72ce261547614b8629c10e2ee8d62971f8453b2007f91a60f",
			valid:     true,
		},
		{
			scalarHex: "bef7fb38fcb2d6a5c22f1db03c4c26a0f61eaaa1e7f846b2bb46ff06aa9ca407",
			valid:     true,
		},
		{
			scalarHex: "fc7956e14919bb2f531c6cba13e0bf3568db3927b24a2f9131e0c42aac0cbbb1",
			valid:     false,
		},
		{
			scalarHex: "bf2ed7b0fdd8cc1222db5ae9e699de5d54abee91a3f8bd988d248ab041738aa3",
			valid:     false,
		},
		{
			scalarHex: "126213a8e3de2ab1fc862ad8bb27d3b13de5ba55657bf6e04efcf4015dd70895",
			valid:     false,
		},
		{
			scalarHex: "d1729b969a9395788931713933c587ef3748c96976a488f6a1e2f1e1ed6973d0",
			valid:     false,
		},
		{
			scalarHex: "2448345de229bb4c2695f9653653301c4562ff4a60c568a3f483474b6800875c",
			valid:     false,
		},
		{
			scalarHex: "e72284802f2737c293838a6357251398101ec60ba6e8458304bbd25de570010b",
			valid:     true,
		},
		{
			scalarHex: "87c0898c4c283f24b7164fa8aaab9fc3b06ad5237b389d9735d58c54dd989186",
			valid:     false,
		},
		{
			scalarHex: "4cceb19c61263feaffeedc984280a6f5ecc1eeebeed05a407359661d61bdf8a6",
			valid:     false,
		},
		{
			scalarHex: "2e286296d5300eb4ae7200036acbd47a319d3f9a8eb66a986a36683b85b26002",
			valid:     true,
		},
		{
			scalarHex: "1b7140ff3a09a82554d4219425c2213abd16d9f342e30e2f7c05f2a5188432a4",
			valid:     false,
		},
		{
			scalarHex: "c0cdfe0ac8dd014bc1fb4c5d3f22d74f30623054f3008c0d1e34af4f2eafdec4",
			valid:     false,
		},
		{
			scalarHex: "0000000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "0100000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "0200000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "0300000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "0400000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "0500000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "0600000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "0700000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "0800000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "0900000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "0a00000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "0b00000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "0c00000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "0d00000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "0e00000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "0f00000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "1000000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "1100000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "1200000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "1300000000000000000000000000000000000000000000000000000000000000",
			valid:     true,
		},
		{
			scalarHex: "d9d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "dad3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "dbd3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "dcd3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "ddd3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "ded3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "dfd3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "e0d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "e1d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "e2d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "e3d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "e4d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "e5d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "e6d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "e7d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "e8d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "e9d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "ead3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "ebd3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "ecd3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     true,
		},
		{
			scalarHex: "edd3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "eed3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "efd3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "f0d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "f1d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "f2d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "f3d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "f4d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "f5d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "f6d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "f7d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "f8d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "f9d3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "fad3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "fbd3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "fcd3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "fdd3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "fed3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "ffd3f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "00d4f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "01d4f55c1a631258d69cf7a2def9de1400000000000000000000000000000010",
			valid:     false,
		},
		{
			scalarHex: "ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "edffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "eeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "efffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "f0ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "f1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "f2ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "f3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "f4ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "f5ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "f6ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "f7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "f8ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "f9ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "faffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "fbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "fcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "fdffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "feffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
		{
			scalarHex: "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
			valid:     false,
		},
	}
	for _, test := range tests {
		scalar := HexToKey(test.scalarHex)
		got := ScValid(&scalar)
		if test.valid != got {
			t.Errorf("%x: want %t, got %t", scalar, test.valid, got)
		}
	}
}