WIP
parent
63920550d7
commit
07607f1154
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@ -4986,6 +4986,7 @@ dependencies = [
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"pallet-aura",
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"pallet-aura",
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"pallet-balances",
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"pallet-balances",
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"pallet-grandpa",
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"pallet-grandpa",
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"pallet-reward",
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"pallet-sudo",
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"pallet-sudo",
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"pallet-template",
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"pallet-template",
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"pallet-timestamp",
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"pallet-timestamp",
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@ -5279,6 +5280,21 @@ dependencies = [
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"sp-std",
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"sp-std",
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]
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]
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[[package]]
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name = "pallet-reward"
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version = "4.0.0-dev"
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dependencies = [
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"frame-benchmarking",
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"frame-support",
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"frame-system",
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"pallet_zkp_verify",
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"parity-scale-codec",
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"scale-info",
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"sp-core",
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"sp-io",
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"sp-runtime",
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]
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[[package]]
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[[package]]
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name = "pallet-session"
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name = "pallet-session"
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version = "4.0.0-dev"
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version = "4.0.0-dev"
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@ -5410,6 +5426,7 @@ dependencies = [
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"frame-benchmarking",
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"frame-benchmarking",
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"frame-support",
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"frame-support",
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"frame-system",
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"frame-system",
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"hex",
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"parity-scale-codec",
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"parity-scale-codec",
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"rkyv",
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"rkyv",
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"scale-info",
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"scale-info",
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@ -0,0 +1,34 @@
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<!DOCTYPE html>
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<html>
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<head>
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<title>Polkadot.js Integration</title>
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<link rel="stylesheet" type="text/css" href="style.css">
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<script src="js/bundle-polkadot-util.js"></script>
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<script src="js/bundle-polkadot-util-crypto.js"></script>
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<script src="js/bundle-polkadot-types.js"></script>
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<script src="js/bundle-polkadot-api.js"></script>
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<script src="js/bundle-polkadot-extension-dapp.js"></script>
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</head>
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<body>
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<div class="sun"></div>
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<div class="container">
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<h2>Sustrate ZKP Pallet</h2>
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<div class="nav-buttons">
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<a href="index.html" class="nav-button">Plonk Verifier</a>
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<a href="groth16.html" class="nav-button active">Groth16 Verifier</a>
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</div>
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<input type="file" id="fileInput" accept=".json">
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<input type="file" id="fileInput2" accept=".key">
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<button id="submitBtn">Submit</button>
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<div id="loadingIndicator" class="loading-indicator"></div>
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<div id="successIndicator" class="indicator success-indicator">✔</div> <!-- Checkmark -->
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<div id="failureIndicator" class="indicator failure-indicator">✖</div> <!-- 'X' mark -->
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</div>
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<script src="script2.js"></script>
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</body>
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</html>
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Before Width: | Height: | Size: 2.6 MiB After Width: | Height: | Size: 2.6 MiB |
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@ -13,13 +13,19 @@
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</head>
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</head>
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<body>
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<body>
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<div class="sun"></div>
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<div class="container">
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<div class="container">
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<h2>Sustrate ZKP Pallet</h2>
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<h2>Sustrate ZKP Pallet</h2>
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<input type="text" id="input1" placeholder="Input 1">
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<div class="nav-buttons">
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<input type="text" id="input2" placeholder="Input 2">
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<a href="index.html" class="nav-button active">Plonk Verifier</a>
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<input type="text" id="input3" placeholder="Input 3">
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<a href="groth16.html" class="nav-button">Groth16 Verifier</a>
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<button id="submitBtn">Submit</button>
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</div>
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<div>
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<input type="text" id="input1" placeholder="Verification Key">
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<input type="text" id="input2" placeholder="Public Inputs">
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<input type="text" id="input3" placeholder="Proof">
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<button id="submitBtn">Submit</button>
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</div>
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<div id="loadingIndicator" class="loading-indicator"></div>
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<div id="loadingIndicator" class="loading-indicator"></div>
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<div id="successIndicator" class="indicator success-indicator">✔</div> <!-- Checkmark -->
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<div id="successIndicator" class="indicator success-indicator">✔</div> <!-- Checkmark -->
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<div id="failureIndicator" class="indicator failure-indicator">✖</div> <!-- 'X' mark -->
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<div id="failureIndicator" class="indicator failure-indicator">✖</div> <!-- 'X' mark -->
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@ -13,7 +13,7 @@ document.getElementById('submitBtn').addEventListener('click', async function ()
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// Replace 'palletName.methodName' with the actual pallet method you want to call
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// Replace 'palletName.methodName' with the actual pallet method you want to call
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// and adjust the parameters as needed.
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// and adjust the parameters as needed.
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try {
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try {
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const transaction = api.tx.zkpVerifyModule.verifyProofPlonk(input1, input2, input3);
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const transaction = api.tx.zkpVerifyModule.verifyPlonk(input1, input2, input3);
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const unsub = await transaction.signAndSend(selectedAccount, { signer: injector.signer }, ({ status, events, dispatchError }) => {
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const unsub = await transaction.signAndSend(selectedAccount, { signer: injector.signer }, ({ status, events, dispatchError }) => {
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if (status.isInBlock || status.isFinalized) {
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if (status.isInBlock || status.isFinalized) {
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@ -0,0 +1,178 @@
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class Proof {
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constructor(a, b, c, inputs) {
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this.a = a;
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this.b = b;
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this.c = c;
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this.inputs = inputs;
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}
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}
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class VerificationKey {
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constructor(alpha, beta, gamma, delta, gammaABC) {
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this.alpha = alpha;
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this.beta = beta;
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this.gamma = gamma;
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this.delta = delta;
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this.gammaABC = gammaABC;
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}
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}
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function readFileAsJson(file) {
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return new Promise((resolve, reject) => {
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const reader = new FileReader();
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reader.onload = function (event) {
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try {
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const jsonObj = JSON.parse(event.target.result);
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resolve(jsonObj);
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} catch (error) {
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reject(error);
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}
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};
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reader.onerror = function () {
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reject(new Error("Error reading the file."));
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};
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reader.readAsText(file);
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});
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}
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document.getElementById('submitBtn').addEventListener('click', async function () {
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document.getElementById('successIndicator').style.display = 'none';
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document.getElementById('failureIndicator').style.display = 'none';
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document.getElementById('loadingIndicator').style.display = 'block';
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// Getting values from input fields
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const fileInput = document.getElementById('fileInput');
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if (fileInput.files.length === 0) {
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alert("Please upload a JSON file.");
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document.getElementById('loadingIndicator').style.display = 'none';
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return;
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}
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const file = fileInput.files[0];
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let proof;
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try {
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const jsonObj = await readFileAsJson(file);
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const a = jsonObj.proof.a;
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const b = jsonObj.proof.b;
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const c = jsonObj.proof.c;
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const inputs = jsonObj.inputs;
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proof = new Proof(a, b, c, inputs);
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} catch (error) {
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console.error('Error:', error);
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document.getElementById('failureIndicator').style.display = 'block';
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document.getElementById('loadingIndicator').style.display = 'none';
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}
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const fileInput2 = document.getElementById('fileInput2');
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if (fileInput2.files.length === 0) {
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alert("Please upload a JSON file.");
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document.getElementById('loadingIndicator').style.display = 'none';
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return;
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}
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const file2 = fileInput2.files[0];
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let vk;
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try {
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const jsonObj = await readFileAsJson(file2);
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const alpha = jsonObj.alpha;
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const beta = jsonObj.beta;
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const gamma = jsonObj.gamma;
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const delta = jsonObj.delta;
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const gammaABC = jsonObj.gamma_abc;
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vk = new VerificationKey(alpha, beta, gamma, delta, gammaABC);
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} catch (error) {
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console.error('Error:', error);
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document.getElementById('failureIndicator').style.display = 'block';
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document.getElementById('loadingIndicator').style.display = 'none';
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}
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// Call a specific pallet function (example: transfer)
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// Replace 'palletName.methodName' with the actual pallet method you want to call
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// and adjust the parameters as needed.
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try {
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let inputs = "0x"+proof.inputs.map((input) => { return input.substring(2).toLowerCase() }).join('');
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console.log(inputs);
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const transaction = api.tx.zkpVerifyModule.verifyG16(vk.alpha[0], vk.alpha[1], vk.beta[0][0], vk.beta[0][1], vk.beta[1][0], vk.beta[1][1], vk.gamma[0][0], vk.gamma[0][1], vk.gamma[1][0], vk.gamma[1][1], vk.delta[0][0], vk.delta[0][1], vk.delta[1][0], vk.delta[1][1], vk.gammaABC[0][0], vk.gammaABC[0][1], vk.gammaABC[1][0], vk.gammaABC[1][1], inputs, proof.a[0], proof.a[1], proof.b[0][0], proof.b[0][1], proof.b[1][0], proof.b[1][1], proof.c[0], proof.c[1]);
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const unsub = await transaction.signAndSend(selectedAccount, { signer: injector.signer }, ({ status, events, dispatchError }) => {
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console.log("Hi");
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if (status.isInBlock || status.isFinalized) {
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events.forEach(({ event: { data, method, section } }) => {
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console.log(`Event: ${section}.${method}`, data.toString());
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if (method === 'ValidationSuccess') {
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document.getElementById('loadingIndicator').style.display = 'none';
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document.getElementById('successIndicator').style.display = 'block';
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}
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});
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if (dispatchError) {
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document.getElementById('loadingIndicator').style.display = 'none';
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document.getElementById('failureIndicator').style.display = 'block';
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if (dispatchError.isModule) {
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// For module errors, we have the section indexed, lookup
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const decoded = api.registry.findMetaError(dispatchError.asModule);
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const { documentation, method, section } = decoded;
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console.error(`${section}.${method}: ${documentation.join(' ')}`);
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} else {
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// Other, CannotLookup, BadOrigin, no extra info
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console.error(dispatchError.toString());
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}
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}
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unsub();
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}
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});
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} catch (error) {
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console.error('Error:', error);
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}
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});
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let api;
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let selectedAccount;
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let injector;
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// On page loaded
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window.addEventListener('load', async () => {
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// Initialize the Polkadot.js API
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const { ApiPromise, WsProvider } = polkadotApi;
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const wsProvider = new WsProvider('ws://127.0.0.1:9944');
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api = await ApiPromise.create({ provider: wsProvider });
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// Initialize the Polkadot.js API
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const { web3Accounts, web3Enable, web3FromAddress } = polkadotExtensionDapp;
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// Request access to the user's Polkadot.js accounts
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const extensions = await web3Enable('My Polkadot.js Integration App');
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if (extensions.length === 0) {
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// No extension installed, or the user refused to authorize access
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return;
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}
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// Get the user's accounts
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const allAccounts = await web3Accounts();
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if (allAccounts.length === 0) {
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// No accounts available
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return;
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}
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// Select account to use (for simplicity, using the first account)
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selectedAccount = allAccounts[0].address;
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injector = await web3FromAddress(selectedAccount);
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});
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document.getElementById('successIndicator').style.display = 'none';
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document.getElementById('failureIndicator').style.display = 'none';
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@ -119,3 +119,64 @@ h2 {
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opacity: 1;
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opacity: 1;
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}
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}
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}
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}
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input[type="file"] {
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margin: 10px 0;
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padding: 10px;
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color: #ffffff;
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background-color: #221;
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border: 2px solid #ff00ff; /* Neon-like border */
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border-radius: 5px;
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outline: none;
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text-align: center;
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cursor: pointer;
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transition: background-color 0.3s, transform 0.3s;
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}
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input[type="file"]::file-selector-button {
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background-color: #ff00ff; /* Neon button color */
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color: #000;
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border: none;
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padding: 10px;
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border-radius: 5px;
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cursor: pointer;
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transition: background-color 0.3s;
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}
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input[type="file"]::file-selector-button:hover {
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background-color: #ff00aa; /* Hover effect */
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}
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input[type="file"]:hover {
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background-color: #332244; /* Hover effect on the input field */
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transform: scale(1.05); /* Slight zoom effect on hover */
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}
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.nav-buttons {
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display: flex;
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justify-content: center;
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margin-bottom: 20px;
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}
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.nav-button {
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padding: 10px 20px;
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margin: 0 10px;
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background-color: #221;
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color: #ffffff;
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text-decoration: none;
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border: 2px solid #ff00ff; /* Neon-like border */
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border-radius: 5px;
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transition: background-color 0.3s, transform 0.3s;
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cursor: pointer;
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}
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.nav-button:hover {
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background-color: #332244; /* Hover effect */
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transform: scale(1.1); /* Slight zoom effect on hover */
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}
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.nav-button.active {
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background-color: #ff00ff; /* Active button color */
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}
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@ -0,0 +1,40 @@
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[package]
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name = "pallet-reward"
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version = "4.0.0-dev"
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description = "FRAME pallet template for defining custom runtime logic."
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authors = ["Substrate DevHub <https://github.com/substrate-developer-hub>"]
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homepage = "https://substrate.io"
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edition = "2021"
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license = "MIT-0"
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publish = false
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repository = "https://github.com/substrate-developer-hub/substrate-node-template/"
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[package.metadata.docs.rs]
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targets = ["x86_64-unknown-linux-gnu"]
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||||||
|
|
||||||
|
[dependencies]
|
||||||
|
codec = { package = "parity-scale-codec", version = "3.6.1", default-features = false, features = [
|
||||||
|
"derive",
|
||||||
|
] }
|
||||||
|
scale-info = { version = "2.5.0", default-features = false, features = ["derive"] }
|
||||||
|
frame-benchmarking = { version = "4.0.0-dev", default-features = false, optional = true, git = "https://github.com/paritytech/substrate.git", branch = "polkadot-v1.0.0" }
|
||||||
|
frame-support = { version = "4.0.0-dev", default-features = false, git = "https://github.com/paritytech/substrate.git", branch = "polkadot-v1.0.0" }
|
||||||
|
frame-system = { version = "4.0.0-dev", default-features = false, git = "https://github.com/paritytech/substrate.git", branch = "polkadot-v1.0.0" }
|
||||||
|
pallet_zkp_verify = { version = "4.0.0-dev", default-features = false, path = "../zkp_verify" }
|
||||||
|
|
||||||
|
[dev-dependencies]
|
||||||
|
sp-core = { version = "21.0.0", git = "https://github.com/paritytech/substrate.git", branch = "polkadot-v1.0.0" }
|
||||||
|
sp-io = { version = "23.0.0", git = "https://github.com/paritytech/substrate.git", branch = "polkadot-v1.0.0" }
|
||||||
|
sp-runtime = { version = "24.0.0", git = "https://github.com/paritytech/substrate.git", branch = "polkadot-v1.0.0" }
|
||||||
|
|
||||||
|
[features]
|
||||||
|
default = ["std"]
|
||||||
|
std = [
|
||||||
|
"codec/std",
|
||||||
|
"frame-benchmarking?/std",
|
||||||
|
"frame-support/std",
|
||||||
|
"frame-system/std",
|
||||||
|
"scale-info/std",
|
||||||
|
]
|
||||||
|
runtime-benchmarks = ["frame-benchmarking/runtime-benchmarks"]
|
||||||
|
try-runtime = ["frame-support/try-runtime"]
|
||||||
|
|
@ -0,0 +1 @@
|
||||||
|
License: MIT-0
|
||||||
|
|
@ -0,0 +1,35 @@
|
||||||
|
//! Benchmarking setup for pallet-reward
|
||||||
|
#![cfg(feature = "runtime-benchmarks")]
|
||||||
|
use super::*;
|
||||||
|
|
||||||
|
#[allow(unused)]
|
||||||
|
use crate::Pallet as Template;
|
||||||
|
use frame_benchmarking::v2::*;
|
||||||
|
use frame_system::RawOrigin;
|
||||||
|
|
||||||
|
#[benchmarks]
|
||||||
|
mod benchmarks {
|
||||||
|
use super::*;
|
||||||
|
|
||||||
|
#[benchmark]
|
||||||
|
fn do_something() {
|
||||||
|
let value = 100u32.into();
|
||||||
|
let caller: T::AccountId = whitelisted_caller();
|
||||||
|
#[extrinsic_call]
|
||||||
|
do_something(RawOrigin::Signed(caller), value);
|
||||||
|
|
||||||
|
assert_eq!(Something::<T>::get(), Some(value));
|
||||||
|
}
|
||||||
|
|
||||||
|
#[benchmark]
|
||||||
|
fn cause_error() {
|
||||||
|
Something::<T>::put(100u32);
|
||||||
|
let caller: T::AccountId = whitelisted_caller();
|
||||||
|
#[extrinsic_call]
|
||||||
|
cause_error(RawOrigin::Signed(caller));
|
||||||
|
|
||||||
|
assert_eq!(Something::<T>::get(), Some(101u32));
|
||||||
|
}
|
||||||
|
|
||||||
|
impl_benchmark_test_suite!(Template, crate::mock::new_test_ext(), crate::mock::Test);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,139 @@
|
||||||
|
#![cfg_attr(not(feature = "std"), no_std)]
|
||||||
|
|
||||||
|
pub use pallet::*;
|
||||||
|
|
||||||
|
#[cfg(test)]
|
||||||
|
mod mock;
|
||||||
|
|
||||||
|
#[cfg(test)]
|
||||||
|
mod tests;
|
||||||
|
|
||||||
|
#[cfg(feature = "runtime-benchmarks")]
|
||||||
|
mod benchmarking;
|
||||||
|
pub mod weights;
|
||||||
|
pub use weights::*;
|
||||||
|
|
||||||
|
#[frame_support::pallet]
|
||||||
|
pub mod pallet {
|
||||||
|
use super::*;
|
||||||
|
use frame_support::pallet_prelude::*;
|
||||||
|
use frame_system::pallet_prelude::*;
|
||||||
|
use pallet_zkp_verify::ZKPVerifyInterface;
|
||||||
|
|
||||||
|
#[pallet::pallet]
|
||||||
|
pub struct Pallet<T>(_);
|
||||||
|
|
||||||
|
/// Configure the pallet by specifying the parameters and types on which it depends.
|
||||||
|
#[pallet::config]
|
||||||
|
pub trait Config: frame_system::Config {
|
||||||
|
/// Because this pallet emits events, it depends on the runtime's definition of an event.
|
||||||
|
type RuntimeEvent: From<Event<Self>> + IsType<<Self as frame_system::Config>::RuntimeEvent>;
|
||||||
|
/// Type representing the weight of this pallet
|
||||||
|
type WeightInfo: WeightInfo;
|
||||||
|
///
|
||||||
|
type ZKPVerify: ZKPVerifyInterface;
|
||||||
|
}
|
||||||
|
|
||||||
|
// The pallet's runtime storage items.
|
||||||
|
// https://docs.substrate.io/main-docs/build/runtime-storage/
|
||||||
|
#[pallet::storage]
|
||||||
|
#[pallet::getter(fn something)]
|
||||||
|
// Learn more about declaring storage items:
|
||||||
|
// https://docs.substrate.io/main-docs/build/runtime-storage/#declaring-storage-items
|
||||||
|
pub type Something<T> = StorageValue<_, u32>;
|
||||||
|
|
||||||
|
#[pallet::event]
|
||||||
|
#[pallet::generate_deposit(pub(super) fn deposit_event)]
|
||||||
|
pub enum Event<T: Config> {
|
||||||
|
RewardSuccess { who: T::AccountId },
|
||||||
|
}
|
||||||
|
|
||||||
|
#[pallet::error]
|
||||||
|
pub enum Error<T> {
|
||||||
|
RewardFailed,
|
||||||
|
}
|
||||||
|
|
||||||
|
// Dispatchable functions allows users to interact with the pallet and invoke state changes.
|
||||||
|
// These functions materialize as "extrinsics", which are often compared to transactions.
|
||||||
|
// Dispatchable functions must be annotated with a weight and must return a DispatchResult.
|
||||||
|
#[pallet::call]
|
||||||
|
impl<T: Config> Pallet<T> {
|
||||||
|
#[pallet::call_index(0)]
|
||||||
|
#[pallet::weight(T::WeightInfo::cause_error())]
|
||||||
|
pub fn verify_proof(
|
||||||
|
origin: OriginFor<T>,
|
||||||
|
|
||||||
|
// vk: Vec<u8>,
|
||||||
|
vk_alpha_1: Vec<u8>,
|
||||||
|
vk_alpha_2: Vec<u8>,
|
||||||
|
vk_beta_1_1: Vec<u8>,
|
||||||
|
vk_beta_1_2: Vec<u8>,
|
||||||
|
vk_beta_2_1: Vec<u8>,
|
||||||
|
vk_beta_2_2: Vec<u8>,
|
||||||
|
vk_gamma_1_1: Vec<u8>,
|
||||||
|
vk_gamma_1_2: Vec<u8>,
|
||||||
|
vk_gamma_2_1: Vec<u8>,
|
||||||
|
vk_gamma_2_2: Vec<u8>,
|
||||||
|
vk_delta_1_1: Vec<u8>,
|
||||||
|
vk_delta_1_2: Vec<u8>,
|
||||||
|
vk_delta_2_1: Vec<u8>,
|
||||||
|
vk_delta_2_2: Vec<u8>,
|
||||||
|
vk_gamma_abc_1_1: Vec<u8>,
|
||||||
|
vk_gamma_abc_1_2: Vec<u8>,
|
||||||
|
vk_gamma_abc_2_1: Vec<u8>,
|
||||||
|
vk_gamma_abc_2_2: Vec<u8>,
|
||||||
|
|
||||||
|
inputs: Vec<u8>,
|
||||||
|
|
||||||
|
// proof: Vec<u8>,
|
||||||
|
proof_a_1: Vec<u8>,
|
||||||
|
proof_a_2: Vec<u8>,
|
||||||
|
proof_b_1_1: Vec<u8>,
|
||||||
|
proof_b_1_2: Vec<u8>,
|
||||||
|
proof_b_2_1: Vec<u8>,
|
||||||
|
proof_b_2_2: Vec<u8>,
|
||||||
|
proof_c_1: Vec<u8>,
|
||||||
|
proof_c_2: Vec<u8>,
|
||||||
|
) -> DispatchResult {
|
||||||
|
let who = ensure_signed(origin)?;
|
||||||
|
|
||||||
|
let result = T::ZKPVerify::verify_proof(
|
||||||
|
origin,
|
||||||
|
vk_alpha_1,
|
||||||
|
vk_alpha_2,
|
||||||
|
vk_beta_1_1,
|
||||||
|
vk_beta_1_2,
|
||||||
|
vk_beta_2_1,
|
||||||
|
vk_beta_2_2,
|
||||||
|
vk_gamma_1_1,
|
||||||
|
vk_gamma_1_2,
|
||||||
|
vk_gamma_2_1,
|
||||||
|
vk_gamma_2_2,
|
||||||
|
vk_delta_1_1,
|
||||||
|
vk_delta_1_2,
|
||||||
|
vk_delta_2_1,
|
||||||
|
vk_delta_2_2,
|
||||||
|
vk_gamma_abc_1_1,
|
||||||
|
vk_gamma_abc_1_2,
|
||||||
|
vk_gamma_abc_2_1,
|
||||||
|
vk_gamma_abc_2_2,
|
||||||
|
inputs,
|
||||||
|
proof_a_1,
|
||||||
|
proof_a_2,
|
||||||
|
proof_b_1_1,
|
||||||
|
proof_b_1_2,
|
||||||
|
proof_b_2_1,
|
||||||
|
proof_b_2_2,
|
||||||
|
proof_c_1,
|
||||||
|
proof_c_2,
|
||||||
|
);
|
||||||
|
|
||||||
|
if result {
|
||||||
|
Self::deposit_event(Event::RewardSuccess { who });
|
||||||
|
Ok(())
|
||||||
|
} else {
|
||||||
|
Err(Error::<T>::RewardFailed.into())
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,54 @@
|
||||||
|
use crate as pallet_reward;
|
||||||
|
use frame_support::traits::{ConstU16, ConstU64};
|
||||||
|
use sp_core::H256;
|
||||||
|
use sp_runtime::{
|
||||||
|
traits::{BlakeTwo256, IdentityLookup},
|
||||||
|
BuildStorage,
|
||||||
|
};
|
||||||
|
|
||||||
|
type Block = frame_system::mocking::MockBlock<Test>;
|
||||||
|
|
||||||
|
// Configure a mock runtime to test the pallet.
|
||||||
|
frame_support::construct_runtime!(
|
||||||
|
pub enum Test
|
||||||
|
{
|
||||||
|
System: frame_system,
|
||||||
|
TemplateModule: pallet_reward,
|
||||||
|
}
|
||||||
|
);
|
||||||
|
|
||||||
|
impl frame_system::Config for Test {
|
||||||
|
type BaseCallFilter = frame_support::traits::Everything;
|
||||||
|
type BlockWeights = ();
|
||||||
|
type BlockLength = ();
|
||||||
|
type DbWeight = ();
|
||||||
|
type RuntimeOrigin = RuntimeOrigin;
|
||||||
|
type RuntimeCall = RuntimeCall;
|
||||||
|
type Nonce = u64;
|
||||||
|
type Hash = H256;
|
||||||
|
type Hashing = BlakeTwo256;
|
||||||
|
type AccountId = u64;
|
||||||
|
type Lookup = IdentityLookup<Self::AccountId>;
|
||||||
|
type Block = Block;
|
||||||
|
type RuntimeEvent = RuntimeEvent;
|
||||||
|
type BlockHashCount = ConstU64<250>;
|
||||||
|
type Version = ();
|
||||||
|
type PalletInfo = PalletInfo;
|
||||||
|
type AccountData = ();
|
||||||
|
type OnNewAccount = ();
|
||||||
|
type OnKilledAccount = ();
|
||||||
|
type SystemWeightInfo = ();
|
||||||
|
type SS58Prefix = ConstU16<42>;
|
||||||
|
type OnSetCode = ();
|
||||||
|
type MaxConsumers = frame_support::traits::ConstU32<16>;
|
||||||
|
}
|
||||||
|
|
||||||
|
impl pallet_reward::Config for Test {
|
||||||
|
type RuntimeEvent = RuntimeEvent;
|
||||||
|
type WeightInfo = ();
|
||||||
|
}
|
||||||
|
|
||||||
|
// Build genesis storage according to the mock runtime.
|
||||||
|
pub fn new_test_ext() -> sp_io::TestExternalities {
|
||||||
|
frame_system::GenesisConfig::<Test>::default().build_storage().unwrap().into()
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,27 @@
|
||||||
|
use crate::{mock::*, Error, Event};
|
||||||
|
use frame_support::{assert_noop, assert_ok};
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn it_works_for_default_value() {
|
||||||
|
new_test_ext().execute_with(|| {
|
||||||
|
// Go past genesis block so events get deposited
|
||||||
|
System::set_block_number(1);
|
||||||
|
// Dispatch a signed extrinsic.
|
||||||
|
assert_ok!(TemplateModule::do_something(RuntimeOrigin::signed(1), 42));
|
||||||
|
// Read pallet storage and assert an expected result.
|
||||||
|
assert_eq!(TemplateModule::something(), Some(42));
|
||||||
|
// Assert that the correct event was deposited
|
||||||
|
System::assert_last_event(Event::SomethingStored { something: 42, who: 1 }.into());
|
||||||
|
});
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn correct_error_for_none_value() {
|
||||||
|
new_test_ext().execute_with(|| {
|
||||||
|
// Ensure the expected error is thrown when no value is present.
|
||||||
|
assert_noop!(
|
||||||
|
TemplateModule::cause_error(RuntimeOrigin::signed(1)),
|
||||||
|
Error::<Test>::NoneValue
|
||||||
|
);
|
||||||
|
});
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,90 @@
|
||||||
|
|
||||||
|
//! Autogenerated weights for pallet_template
|
||||||
|
//!
|
||||||
|
//! THIS FILE WAS AUTO-GENERATED USING THE SUBSTRATE BENCHMARK CLI VERSION 4.0.0-dev
|
||||||
|
//! DATE: 2023-04-06, STEPS: `50`, REPEAT: `20`, LOW RANGE: `[]`, HIGH RANGE: `[]`
|
||||||
|
//! WORST CASE MAP SIZE: `1000000`
|
||||||
|
//! HOSTNAME: `Alexs-MacBook-Pro-2.local`, CPU: `<UNKNOWN>`
|
||||||
|
//! EXECUTION: Some(Wasm), WASM-EXECUTION: Compiled, CHAIN: Some("dev"), DB CACHE: 1024
|
||||||
|
|
||||||
|
// Executed Command:
|
||||||
|
// ../../target/release/node-template
|
||||||
|
// benchmark
|
||||||
|
// pallet
|
||||||
|
// --chain
|
||||||
|
// dev
|
||||||
|
// --pallet
|
||||||
|
// pallet_template
|
||||||
|
// --extrinsic
|
||||||
|
// *
|
||||||
|
// --steps=50
|
||||||
|
// --repeat=20
|
||||||
|
// --wasm-execution=compiled
|
||||||
|
// --output
|
||||||
|
// pallets/template/src/weights.rs
|
||||||
|
// --template
|
||||||
|
// ../../.maintain/frame-weight-template.hbs
|
||||||
|
|
||||||
|
#![cfg_attr(rustfmt, rustfmt_skip)]
|
||||||
|
#![allow(unused_parens)]
|
||||||
|
#![allow(unused_imports)]
|
||||||
|
|
||||||
|
use frame_support::{traits::Get, weights::{Weight, constants::RocksDbWeight}};
|
||||||
|
use core::marker::PhantomData;
|
||||||
|
|
||||||
|
/// Weight functions needed for pallet_template.
|
||||||
|
pub trait WeightInfo {
|
||||||
|
fn do_something() -> Weight;
|
||||||
|
fn cause_error() -> Weight;
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Weights for pallet_template using the Substrate node and recommended hardware.
|
||||||
|
pub struct SubstrateWeight<T>(PhantomData<T>);
|
||||||
|
impl<T: frame_system::Config> WeightInfo for SubstrateWeight<T> {
|
||||||
|
/// Storage: TemplateModule Something (r:0 w:1)
|
||||||
|
/// Proof: TemplateModule Something (max_values: Some(1), max_size: Some(4), added: 499, mode: MaxEncodedLen)
|
||||||
|
fn do_something() -> Weight {
|
||||||
|
// Proof Size summary in bytes:
|
||||||
|
// Measured: `0`
|
||||||
|
// Estimated: `0`
|
||||||
|
// Minimum execution time: 8_000_000 picoseconds.
|
||||||
|
Weight::from_parts(9_000_000, 0)
|
||||||
|
.saturating_add(T::DbWeight::get().writes(1_u64))
|
||||||
|
}
|
||||||
|
/// Storage: TemplateModule Something (r:1 w:1)
|
||||||
|
/// Proof: TemplateModule Something (max_values: Some(1), max_size: Some(4), added: 499, mode: MaxEncodedLen)
|
||||||
|
fn cause_error() -> Weight {
|
||||||
|
// Proof Size summary in bytes:
|
||||||
|
// Measured: `32`
|
||||||
|
// Estimated: `1489`
|
||||||
|
// Minimum execution time: 6_000_000 picoseconds.
|
||||||
|
Weight::from_parts(6_000_000, 1489)
|
||||||
|
.saturating_add(T::DbWeight::get().reads(1_u64))
|
||||||
|
.saturating_add(T::DbWeight::get().writes(1_u64))
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
// For backwards compatibility and tests
|
||||||
|
impl WeightInfo for () {
|
||||||
|
/// Storage: TemplateModule Something (r:0 w:1)
|
||||||
|
/// Proof: TemplateModule Something (max_values: Some(1), max_size: Some(4), added: 499, mode: MaxEncodedLen)
|
||||||
|
fn do_something() -> Weight {
|
||||||
|
// Proof Size summary in bytes:
|
||||||
|
// Measured: `0`
|
||||||
|
// Estimated: `0`
|
||||||
|
// Minimum execution time: 8_000_000 picoseconds.
|
||||||
|
Weight::from_parts(9_000_000, 0)
|
||||||
|
.saturating_add(RocksDbWeight::get().writes(1_u64))
|
||||||
|
}
|
||||||
|
/// Storage: TemplateModule Something (r:1 w:1)
|
||||||
|
/// Proof: TemplateModule Something (max_values: Some(1), max_size: Some(4), added: 499, mode: MaxEncodedLen)
|
||||||
|
fn cause_error() -> Weight {
|
||||||
|
// Proof Size summary in bytes:
|
||||||
|
// Measured: `32`
|
||||||
|
// Estimated: `1489`
|
||||||
|
// Minimum execution time: 6_000_000 picoseconds.
|
||||||
|
Weight::from_parts(6_000_000, 1489)
|
||||||
|
.saturating_add(RocksDbWeight::get().reads(1_u64))
|
||||||
|
.saturating_add(RocksDbWeight::get().writes(1_u64))
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -34,6 +34,7 @@ dusk-jubjub = { version ="0.13.1", default-features = false}
|
||||||
dusk-plonk = {version = "0.17.0", features = ["rkyv-impl","alloc"], default-features = false }
|
dusk-plonk = {version = "0.17.0", features = ["rkyv-impl","alloc"], default-features = false }
|
||||||
dusk-bls12_381 = {version = "0.12.3", features = ["rkyv-impl","pairings","alloc"], default-features = false}
|
dusk-bls12_381 = {version = "0.12.3", features = ["rkyv-impl","pairings","alloc"], default-features = false}
|
||||||
rkyv = { version = "0.7.42", features = ["validation","size_32"], default-features = false }
|
rkyv = { version = "0.7.42", features = ["validation","size_32"], default-features = false }
|
||||||
|
hex = { version = "0.4.3" ,features = ["alloc"], default-features = false}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -0,0 +1,117 @@
|
||||||
|
use core::slice::Chunks;
|
||||||
|
|
||||||
|
use ark_bls12_381::{Bls12_381, Fr};
|
||||||
|
use ark_groth16::{prepare_verifying_key, Groth16, Proof, VerifyingKey};
|
||||||
|
use ark_serialize::CanonicalDeserialize;
|
||||||
|
use ark_std::vec::Vec;
|
||||||
|
use hex;
|
||||||
|
|
||||||
|
pub struct G1AffineParts {
|
||||||
|
pub part_1: Vec<u8>,
|
||||||
|
pub part_2: Vec<u8>,
|
||||||
|
}
|
||||||
|
|
||||||
|
pub struct G2AffineParts {
|
||||||
|
pub part_1_1: Vec<u8>,
|
||||||
|
pub part_1_2: Vec<u8>,
|
||||||
|
pub part_2_1: Vec<u8>,
|
||||||
|
pub part_2_2: Vec<u8>,
|
||||||
|
}
|
||||||
|
|
||||||
|
pub struct VKParts {
|
||||||
|
pub alpha: G1AffineParts,
|
||||||
|
pub beta: G2AffineParts,
|
||||||
|
pub gamma: G2AffineParts,
|
||||||
|
pub delta: G2AffineParts,
|
||||||
|
pub gamma_abc_1: G1AffineParts,
|
||||||
|
pub gamma_abc_2: G1AffineParts,
|
||||||
|
}
|
||||||
|
|
||||||
|
pub struct ProofParts {
|
||||||
|
pub a: G1AffineParts,
|
||||||
|
pub b: G2AffineParts,
|
||||||
|
pub c: G1AffineParts,
|
||||||
|
}
|
||||||
|
|
||||||
|
fn assemble_vk(vk: &VKParts) -> VerifyingKey<Bls12_381> {
|
||||||
|
let alpha = [&vk.alpha.part_1[..], &vk.alpha.part_2[..]].concat();
|
||||||
|
let beta = [
|
||||||
|
&vk.beta.part_1_2[..],
|
||||||
|
&vk.beta.part_1_1[..],
|
||||||
|
&vk.beta.part_2_2[..],
|
||||||
|
&vk.beta.part_2_1,
|
||||||
|
]
|
||||||
|
.concat();
|
||||||
|
let gamma = [
|
||||||
|
&vk.gamma.part_1_2[..],
|
||||||
|
&vk.gamma.part_1_1[..],
|
||||||
|
&vk.gamma.part_2_2[..],
|
||||||
|
&vk.gamma.part_2_1,
|
||||||
|
]
|
||||||
|
.concat();
|
||||||
|
let delta = [
|
||||||
|
&vk.delta.part_1_2[..],
|
||||||
|
&vk.delta.part_1_1[..],
|
||||||
|
&vk.delta.part_2_2[..],
|
||||||
|
&vk.delta.part_2_1,
|
||||||
|
]
|
||||||
|
.concat();
|
||||||
|
let gamma_abc = [
|
||||||
|
&hex::decode("0200000000000000").unwrap()[..],
|
||||||
|
&vk.gamma_abc_1.part_1[..],
|
||||||
|
&vk.gamma_abc_1.part_2[..],
|
||||||
|
&vk.gamma_abc_2.part_1[..],
|
||||||
|
&vk.gamma_abc_2.part_2[..],
|
||||||
|
]
|
||||||
|
.concat();
|
||||||
|
|
||||||
|
let vk_bytes = [
|
||||||
|
&alpha[..],
|
||||||
|
&beta[..],
|
||||||
|
&gamma[..],
|
||||||
|
&delta[..],
|
||||||
|
&gamma_abc[..],
|
||||||
|
]
|
||||||
|
.concat();
|
||||||
|
|
||||||
|
return VerifyingKey::<Bls12_381>::deserialize_uncompressed(&*vk_bytes)
|
||||||
|
.expect("Failed to create deserialize verifying key");
|
||||||
|
}
|
||||||
|
|
||||||
|
fn assemble_proof(proof: &ProofParts) -> Proof<Bls12_381> {
|
||||||
|
let a = [&proof.a.part_1[..], &proof.a.part_2[..]].concat();
|
||||||
|
let b = [
|
||||||
|
&proof.b.part_1_2[..],
|
||||||
|
&proof.b.part_1_1[..],
|
||||||
|
&proof.b.part_2_2[..],
|
||||||
|
&proof.b.part_2_1,
|
||||||
|
]
|
||||||
|
.concat();
|
||||||
|
let c = [&proof.c.part_1[..], &proof.c.part_2[..]].concat();
|
||||||
|
|
||||||
|
let proof_bytes = [&a[..], &b[..], &c[..]].concat();
|
||||||
|
|
||||||
|
return Proof::<Bls12_381>::deserialize_uncompressed(&*proof_bytes)
|
||||||
|
.expect("Failed to deserialize proof");
|
||||||
|
}
|
||||||
|
|
||||||
|
fn assemble_inputs(public_inputs: &Vec<u8>) -> Vec<Fr> {
|
||||||
|
let mut frs: Vec<Fr> = Vec::new();
|
||||||
|
let chunks: Chunks<u8> = public_inputs.chunks(32);
|
||||||
|
for c in chunks {
|
||||||
|
let c_rev: Vec<u8> = c.into_iter().rev().cloned().collect();
|
||||||
|
let fr: Fr = Fr::deserialize_uncompressed(&*c_rev).expect("Failed to deserialize Fr");
|
||||||
|
frs.push(fr);
|
||||||
|
}
|
||||||
|
|
||||||
|
return frs;
|
||||||
|
}
|
||||||
|
|
||||||
|
fn verify_(vk: &VerifyingKey<Bls12_381>, proof: &Proof<Bls12_381>, public_inputs: &[Fr]) -> bool {
|
||||||
|
return Groth16::<Bls12_381>::verify_proof(&prepare_verifying_key(&vk), &proof, &public_inputs)
|
||||||
|
.expect("Error during proof verification");
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn verify(vk: &VKParts, proof: &ProofParts, public_inputs: &Vec<u8>) -> bool {
|
||||||
|
return verify_(&assemble_vk(vk), &assemble_proof(proof), &assemble_inputs(public_inputs)[..]);
|
||||||
|
}
|
||||||
|
|
@ -17,6 +17,8 @@ mod tests;
|
||||||
mod benchmarking;
|
mod benchmarking;
|
||||||
pub mod weights;
|
pub mod weights;
|
||||||
pub use weights::*;
|
pub use weights::*;
|
||||||
|
mod groth16;
|
||||||
|
use crate::groth16::{G1AffineParts, G2AffineParts, ProofParts, VKParts};
|
||||||
|
|
||||||
#[frame_support::pallet]
|
#[frame_support::pallet]
|
||||||
pub mod pallet {
|
pub mod pallet {
|
||||||
|
|
@ -80,59 +82,141 @@ pub mod pallet {
|
||||||
|
|
||||||
#[pallet::call_index(0)]
|
#[pallet::call_index(0)]
|
||||||
#[pallet::weight(T::WeightInfo::cause_error())]
|
#[pallet::weight(T::WeightInfo::cause_error())]
|
||||||
pub fn verify_proof(origin: OriginFor<T>, vk: Vec<u8>,inputs: Vec<u8>,proof: Vec<u8>) -> DispatchResult {
|
pub fn verify_g16(
|
||||||
|
origin: OriginFor<T>,
|
||||||
|
|
||||||
|
// vk: Vec<u8>,
|
||||||
|
vk_alpha_1: Vec<u8>,
|
||||||
|
vk_alpha_2: Vec<u8>,
|
||||||
|
vk_beta_1_1: Vec<u8>,
|
||||||
|
vk_beta_1_2: Vec<u8>,
|
||||||
|
vk_beta_2_1: Vec<u8>,
|
||||||
|
vk_beta_2_2: Vec<u8>,
|
||||||
|
vk_gamma_1_1: Vec<u8>,
|
||||||
|
vk_gamma_1_2: Vec<u8>,
|
||||||
|
vk_gamma_2_1: Vec<u8>,
|
||||||
|
vk_gamma_2_2: Vec<u8>,
|
||||||
|
vk_delta_1_1: Vec<u8>,
|
||||||
|
vk_delta_1_2: Vec<u8>,
|
||||||
|
vk_delta_2_1: Vec<u8>,
|
||||||
|
vk_delta_2_2: Vec<u8>,
|
||||||
|
vk_gamma_abc_1_1: Vec<u8>,
|
||||||
|
vk_gamma_abc_1_2: Vec<u8>,
|
||||||
|
vk_gamma_abc_2_1: Vec<u8>,
|
||||||
|
vk_gamma_abc_2_2: Vec<u8>,
|
||||||
|
|
||||||
|
inputs: Vec<u8>,
|
||||||
|
|
||||||
|
// proof: Vec<u8>,
|
||||||
|
proof_a_1: Vec<u8>,
|
||||||
|
proof_a_2: Vec<u8>,
|
||||||
|
proof_b_1_1: Vec<u8>,
|
||||||
|
proof_b_1_2: Vec<u8>,
|
||||||
|
proof_b_2_1: Vec<u8>,
|
||||||
|
proof_b_2_2: Vec<u8>,
|
||||||
|
proof_c_1: Vec<u8>,
|
||||||
|
proof_c_2: Vec<u8>,
|
||||||
|
) -> DispatchResult {
|
||||||
let who = ensure_signed(origin)?;
|
let who = ensure_signed(origin)?;
|
||||||
|
|
||||||
let cursor = Cursor::new(&vk);
|
let vk_parts = VKParts {
|
||||||
let vk = <Groth16<Bls12_381> as SNARK<BlsFr>>::VerifyingKey::deserialize_with_mode(
|
alpha: G1AffineParts {
|
||||||
cursor,
|
part_1: vk_alpha_1,
|
||||||
Compress::No,
|
part_2: vk_alpha_2,
|
||||||
Validate::No,
|
},
|
||||||
).unwrap();
|
beta: G2AffineParts {
|
||||||
|
part_1_1: vk_beta_1_1,
|
||||||
|
part_1_2: vk_beta_1_2,
|
||||||
|
part_2_1: vk_beta_2_1,
|
||||||
|
part_2_2: vk_beta_2_2,
|
||||||
|
},
|
||||||
|
gamma: G2AffineParts {
|
||||||
|
part_1_1: vk_gamma_1_1,
|
||||||
|
part_1_2: vk_gamma_1_2,
|
||||||
|
part_2_1: vk_gamma_2_1,
|
||||||
|
part_2_2: vk_gamma_2_2,
|
||||||
|
},
|
||||||
|
delta: G2AffineParts {
|
||||||
|
part_1_1: vk_delta_1_1,
|
||||||
|
part_1_2: vk_delta_1_2,
|
||||||
|
part_2_1: vk_delta_2_1,
|
||||||
|
part_2_2: vk_delta_2_2,
|
||||||
|
},
|
||||||
|
gamma_abc_1: G1AffineParts{
|
||||||
|
part_1: vk_gamma_abc_1_1,
|
||||||
|
part_2: vk_gamma_abc_1_2,
|
||||||
|
},
|
||||||
|
gamma_abc_2: G1AffineParts{
|
||||||
|
part_1: vk_gamma_abc_2_1,
|
||||||
|
part_2: vk_gamma_abc_2_2,
|
||||||
|
},
|
||||||
|
};
|
||||||
|
|
||||||
let cursor = Cursor::new(&inputs);
|
let proof_parts = ProofParts {
|
||||||
let inputs: ark_ff::Fp<ark_ff::MontBackend<ark_bls12_381::FrConfig, 4>, 4> =
|
a: G1AffineParts {
|
||||||
Fp::deserialize_with_mode(cursor, Compress::No, Validate::No).unwrap();
|
part_1: proof_a_1,
|
||||||
|
part_2: proof_a_2,
|
||||||
|
},
|
||||||
|
b: G2AffineParts {
|
||||||
|
part_1_1: proof_b_1_1,
|
||||||
|
part_1_2: proof_b_1_2,
|
||||||
|
part_2_1: proof_b_2_1,
|
||||||
|
part_2_2: proof_b_2_2,
|
||||||
|
},
|
||||||
|
c: G1AffineParts {
|
||||||
|
part_1: proof_c_1,
|
||||||
|
part_2: proof_c_2,
|
||||||
|
},
|
||||||
|
};
|
||||||
|
|
||||||
|
// let result = Groth16::<Bls12_381>::verify(&vk, &[inputs], &proof).unwrap();
|
||||||
let cursor = Cursor::new(&proof);
|
let result: bool = groth16::verify(&vk_parts, &proof_parts, &inputs);
|
||||||
let proof =
|
if result {
|
||||||
<Groth16<Bls12_381> as SNARK<BlsFr>>::Proof::deserialize_with_mode(
|
|
||||||
cursor,
|
|
||||||
Compress::No,
|
|
||||||
Validate::No,
|
|
||||||
).unwrap();
|
|
||||||
|
|
||||||
|
|
||||||
let result = Groth16::<Bls12_381>::verify(&vk, &[inputs], &proof).unwrap();
|
|
||||||
if(result){
|
|
||||||
Self::deposit_event(Event::ValidationSuccess { who });
|
Self::deposit_event(Event::ValidationSuccess { who });
|
||||||
Ok(())
|
Ok(())
|
||||||
}else{
|
} else {
|
||||||
Err(Error::<T>::ValidationFailed.into())
|
Err(Error::<T>::ValidationFailed.into())
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
#[pallet::call_index(1)]
|
#[pallet::call_index(1)]
|
||||||
#[pallet::weight(T::WeightInfo::cause_error())]
|
#[pallet::weight(T::WeightInfo::cause_error())]
|
||||||
pub fn verify_proof_plonk(origin: OriginFor<T>, vk: Vec<u8>, inputs: Vec<u8>,proof: Vec<u8>) -> DispatchResult {
|
pub fn verify_plonk(origin: OriginFor<T>, vk: Vec<u8>, inputs: Vec<u8>,proof: Vec<u8>) -> DispatchResult {
|
||||||
let who = ensure_signed(origin)?;
|
let who = ensure_signed(origin)?;
|
||||||
|
|
||||||
let verifier: Verifier = Verifier::try_from_bytes(&vk[..]).expect("Failed to load verifier");
|
let result_vk = Verifier::try_from_bytes(&vk[..]);
|
||||||
|
|
||||||
|
let verifier = match result_vk {
|
||||||
|
Ok(verifier) => verifier,
|
||||||
|
Err(_) => return Err(Error::<T>::ValidationFailed.into()),
|
||||||
|
};
|
||||||
|
|
||||||
|
|
||||||
let archived = rkyv::check_archived_root::<Proof>(&proof[..]).unwrap();
|
let archived = match rkyv::check_archived_root::<Proof>(&proof[..]){
|
||||||
|
Ok(archived) => archived,
|
||||||
|
Err(_) => return Err(Error::<T>::ValidationFailed.into()),
|
||||||
|
};
|
||||||
|
|
||||||
let proof: Proof = archived.deserialize(&mut rkyv::Infallible).unwrap();
|
let proof: Proof = match archived.deserialize(&mut rkyv::Infallible) {
|
||||||
let archived = rkyv::check_archived_root::<Vec<BlsScalar>>(&inputs[..]).unwrap();
|
Ok(proof) => proof,
|
||||||
let inputs: Vec<BlsScalar> = archived.deserialize(&mut rkyv::Infallible).unwrap();
|
Err(_) => return Err(Error::<T>::ValidationFailed.into()),
|
||||||
|
};
|
||||||
|
|
||||||
|
let archived = match rkyv::check_archived_root::<Vec<BlsScalar>>(&inputs[..]) {
|
||||||
|
Ok(archived) => archived,
|
||||||
|
Err(_) => return Err(Error::<T>::ValidationFailed.into()),
|
||||||
|
};
|
||||||
|
let inputs: Vec<BlsScalar> = match archived.deserialize(&mut rkyv::Infallible) {
|
||||||
|
Ok(inputs) => inputs,
|
||||||
|
Err(_) => return Err(Error::<T>::ValidationFailed.into()),
|
||||||
|
};
|
||||||
|
|
||||||
|
|
||||||
let verification =verifier.verify(&proof, &inputs);
|
let verification =verifier.verify(&proof, &inputs);
|
||||||
|
|
||||||
|
|
||||||
let result = verification.is_ok();
|
let result = verification.is_ok();
|
||||||
if(result){
|
if result {
|
||||||
Self::deposit_event(Event::ValidationSuccess { who });
|
Self::deposit_event(Event::ValidationSuccess { who });
|
||||||
Ok(())
|
Ok(())
|
||||||
}else{
|
}else{
|
||||||
|
|
@ -174,4 +258,112 @@ pub mod pallet {
|
||||||
}
|
}
|
||||||
}*/
|
}*/
|
||||||
}
|
}
|
||||||
|
|
||||||
|
pub trait ZKPVerifyInterface {
|
||||||
|
fn verify_g16(
|
||||||
|
origin: OriginFor<T>,
|
||||||
|
|
||||||
|
// vk: Vec<u8>,
|
||||||
|
vk_alpha_1: Vec<u8>,
|
||||||
|
vk_alpha_2: Vec<u8>,
|
||||||
|
vk_beta_1_1: Vec<u8>,
|
||||||
|
vk_beta_1_2: Vec<u8>,
|
||||||
|
vk_beta_2_1: Vec<u8>,
|
||||||
|
vk_beta_2_2: Vec<u8>,
|
||||||
|
vk_gamma_1_1: Vec<u8>,
|
||||||
|
vk_gamma_1_2: Vec<u8>,
|
||||||
|
vk_gamma_2_1: Vec<u8>,
|
||||||
|
vk_gamma_2_2: Vec<u8>,
|
||||||
|
vk_delta_1_1: Vec<u8>,
|
||||||
|
vk_delta_1_2: Vec<u8>,
|
||||||
|
vk_delta_2_1: Vec<u8>,
|
||||||
|
vk_delta_2_2: Vec<u8>,
|
||||||
|
vk_gamma_abc_1_1: Vec<u8>,
|
||||||
|
vk_gamma_abc_1_2: Vec<u8>,
|
||||||
|
vk_gamma_abc_2_1: Vec<u8>,
|
||||||
|
vk_gamma_abc_2_2: Vec<u8>,
|
||||||
|
|
||||||
|
inputs: Vec<u8>,
|
||||||
|
|
||||||
|
// proof: Vec<u8>,
|
||||||
|
proof_a_1: Vec<u8>,
|
||||||
|
proof_a_2: Vec<u8>,
|
||||||
|
proof_b_1_1: Vec<u8>,
|
||||||
|
proof_b_1_2: Vec<u8>,
|
||||||
|
proof_b_2_1: Vec<u8>,
|
||||||
|
proof_b_2_2: Vec<u8>,
|
||||||
|
proof_c_1: Vec<u8>,
|
||||||
|
proof_c_2: Vec<u8>,
|
||||||
|
) -> DispatchResult;
|
||||||
|
}
|
||||||
|
|
||||||
|
impl<T: Config> ZKPVerifyInterface for Pallet<T> {
|
||||||
|
fn verify_g16(
|
||||||
|
origin: OriginFor<T>,
|
||||||
|
|
||||||
|
// vk: Vec<u8>,
|
||||||
|
vk_alpha_1: Vec<u8>,
|
||||||
|
vk_alpha_2: Vec<u8>,
|
||||||
|
vk_beta_1_1: Vec<u8>,
|
||||||
|
vk_beta_1_2: Vec<u8>,
|
||||||
|
vk_beta_2_1: Vec<u8>,
|
||||||
|
vk_beta_2_2: Vec<u8>,
|
||||||
|
vk_gamma_1_1: Vec<u8>,
|
||||||
|
vk_gamma_1_2: Vec<u8>,
|
||||||
|
vk_gamma_2_1: Vec<u8>,
|
||||||
|
vk_gamma_2_2: Vec<u8>,
|
||||||
|
vk_delta_1_1: Vec<u8>,
|
||||||
|
vk_delta_1_2: Vec<u8>,
|
||||||
|
vk_delta_2_1: Vec<u8>,
|
||||||
|
vk_delta_2_2: Vec<u8>,
|
||||||
|
vk_gamma_abc_1_1: Vec<u8>,
|
||||||
|
vk_gamma_abc_1_2: Vec<u8>,
|
||||||
|
vk_gamma_abc_2_1: Vec<u8>,
|
||||||
|
vk_gamma_abc_2_2: Vec<u8>,
|
||||||
|
|
||||||
|
inputs: Vec<u8>,
|
||||||
|
|
||||||
|
// proof: Vec<u8>,
|
||||||
|
proof_a_1: Vec<u8>,
|
||||||
|
proof_a_2: Vec<u8>,
|
||||||
|
proof_b_1_1: Vec<u8>,
|
||||||
|
proof_b_1_2: Vec<u8>,
|
||||||
|
proof_b_2_1: Vec<u8>,
|
||||||
|
proof_b_2_2: Vec<u8>,
|
||||||
|
proof_c_1: Vec<u8>,
|
||||||
|
proof_c_2: Vec<u8>,
|
||||||
|
) -> DistpacthResult {
|
||||||
|
//) -> Result<DispatchResult, DispatchError> {
|
||||||
|
return Self::verify_g16(
|
||||||
|
origin,
|
||||||
|
vk_alpha_1,
|
||||||
|
vk_alpha_2,
|
||||||
|
vk_beta_1_1,
|
||||||
|
vk_beta_1_2,
|
||||||
|
vk_beta_2_1,
|
||||||
|
vk_beta_2_2,
|
||||||
|
vk_gamma_1_1,
|
||||||
|
vk_gamma_1_2,
|
||||||
|
vk_gamma_2_1,
|
||||||
|
vk_gamma_2_2,
|
||||||
|
vk_delta_1_1,
|
||||||
|
vk_delta_1_2,
|
||||||
|
vk_delta_2_1,
|
||||||
|
vk_delta_2_2,
|
||||||
|
vk_gamma_abc_1_1,
|
||||||
|
vk_gamma_abc_1_2,
|
||||||
|
vk_gamma_abc_2_1,
|
||||||
|
vk_gamma_abc_2_2,
|
||||||
|
inputs,
|
||||||
|
proof_a_1,
|
||||||
|
proof_a_2,
|
||||||
|
proof_b_1_1,
|
||||||
|
proof_b_1_2,
|
||||||
|
proof_b_2_1,
|
||||||
|
proof_b_2_2,
|
||||||
|
proof_c_1,
|
||||||
|
proof_c_2,
|
||||||
|
);
|
||||||
|
}
|
||||||
|
}
|
||||||
}
|
}
|
||||||
|
|
@ -50,6 +50,7 @@ frame-system-benchmarking = { version = "4.0.0-dev", default-features = false, g
|
||||||
# Local Dependencies
|
# Local Dependencies
|
||||||
pallet-template = { version = "4.0.0-dev", default-features = false, path = "../pallets/template" }
|
pallet-template = { version = "4.0.0-dev", default-features = false, path = "../pallets/template" }
|
||||||
pallet_zkp_verify = { version = "4.0.0-dev", default-features = false, path = "../pallets/zkp_verify" }
|
pallet_zkp_verify = { version = "4.0.0-dev", default-features = false, path = "../pallets/zkp_verify" }
|
||||||
|
pallet-reward = { version = "4.0.0-dev", default-features = false, path = "../pallets/reward" }
|
||||||
|
|
||||||
[build-dependencies]
|
[build-dependencies]
|
||||||
substrate-wasm-builder = { version = "5.0.0-dev", git = "https://github.com/paritytech/substrate.git", optional = true , branch = "polkadot-v1.0.0" }
|
substrate-wasm-builder = { version = "5.0.0-dev", git = "https://github.com/paritytech/substrate.git", optional = true , branch = "polkadot-v1.0.0" }
|
||||||
|
|
|
||||||
|
|
@ -52,6 +52,9 @@ pub use pallet_template;
|
||||||
/// Import the ZKP verifier pallet.
|
/// Import the ZKP verifier pallet.
|
||||||
pub use pallet_zkp_verify;
|
pub use pallet_zkp_verify;
|
||||||
|
|
||||||
|
/// Import the reward pallet.
|
||||||
|
pub use pallet_reward;
|
||||||
|
|
||||||
/// An index to a block.
|
/// An index to a block.
|
||||||
pub type BlockNumber = u32;
|
pub type BlockNumber = u32;
|
||||||
|
|
||||||
|
|
@ -283,6 +286,12 @@ impl pallet_zkp_verify::Config for Runtime {
|
||||||
type WeightInfo = pallet_zkp_verify::weights::SubstrateWeight<Runtime>;
|
type WeightInfo = pallet_zkp_verify::weights::SubstrateWeight<Runtime>;
|
||||||
}
|
}
|
||||||
|
|
||||||
|
/// Configure the pallet-reward in pallets/reward..
|
||||||
|
impl pallet_reward::Config for Runtime {
|
||||||
|
type RuntimeEvent = RuntimeEvent;
|
||||||
|
type WeightInfo = pallet_reward::weights::SubstrateWeight<Runtime>;
|
||||||
|
}
|
||||||
|
|
||||||
// Create the runtime by composing the FRAME pallets that were previously configured.
|
// Create the runtime by composing the FRAME pallets that were previously configured.
|
||||||
construct_runtime!(
|
construct_runtime!(
|
||||||
pub struct Runtime {
|
pub struct Runtime {
|
||||||
|
|
@ -296,6 +305,7 @@ construct_runtime!(
|
||||||
// Include the custom logic from the pallet-template in the runtime.
|
// Include the custom logic from the pallet-template in the runtime.
|
||||||
TemplateModule: pallet_template,
|
TemplateModule: pallet_template,
|
||||||
ZKPVerifyModule: pallet_zkp_verify,
|
ZKPVerifyModule: pallet_zkp_verify,
|
||||||
|
RewardModule: pallet_reward,
|
||||||
}
|
}
|
||||||
);
|
);
|
||||||
|
|
||||||
|
|
@ -345,6 +355,7 @@ mod benches {
|
||||||
[pallet_sudo, Sudo]
|
[pallet_sudo, Sudo]
|
||||||
[pallet_template, TemplateModule]
|
[pallet_template, TemplateModule]
|
||||||
[pallet_zkp_verify, ZKPVerifyModule]
|
[pallet_zkp_verify, ZKPVerifyModule]
|
||||||
|
[pallet_reward, RewardModule]
|
||||||
);
|
);
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -0,0 +1,36 @@
|
||||||
|
.gradle
|
||||||
|
build/
|
||||||
|
!gradle/wrapper/gradle-wrapper.jar
|
||||||
|
!**/src/main/**/build/
|
||||||
|
!**/src/test/**/build/
|
||||||
|
|
||||||
|
### STS ###
|
||||||
|
.apt_generated
|
||||||
|
.classpath
|
||||||
|
.factorypath
|
||||||
|
.project
|
||||||
|
.settings
|
||||||
|
.springBeans
|
||||||
|
.sts4-cache
|
||||||
|
bin/
|
||||||
|
!**/src/main/**/bin/
|
||||||
|
!**/src/test/**/bin/
|
||||||
|
|
||||||
|
### IntelliJ IDEA ###
|
||||||
|
.idea
|
||||||
|
*.iws
|
||||||
|
*.iml
|
||||||
|
*.ipr
|
||||||
|
out/
|
||||||
|
!**/src/main/**/out/
|
||||||
|
!**/src/test/**/out/
|
||||||
|
|
||||||
|
### NetBeans ###
|
||||||
|
/nbproject/private/
|
||||||
|
/nbbuild/
|
||||||
|
/dist/
|
||||||
|
/nbdist/
|
||||||
|
/.nb-gradle/
|
||||||
|
|
||||||
|
### VS Code ###
|
||||||
|
.vscode/
|
||||||
|
|
@ -0,0 +1,37 @@
|
||||||
|
#pragma curve bn128
|
||||||
|
|
||||||
|
// Parameters are based on: https://github.com/HarryR/ethsnarks/tree/9cdf0117c2e42c691e75b98979cb29b099eca998/src/jubjub
|
||||||
|
// Note: parameters will be updated soon to be more compatible with zCash's implementation
|
||||||
|
|
||||||
|
struct BabyJubJubParams {
|
||||||
|
field JUBJUB_C;
|
||||||
|
field JUBJUB_A;
|
||||||
|
field JUBJUB_D;
|
||||||
|
field MONT_A;
|
||||||
|
field MONT_B;
|
||||||
|
field[2] INFINITY;
|
||||||
|
field Gu;
|
||||||
|
field Gv;
|
||||||
|
}
|
||||||
|
|
||||||
|
const BabyJubJubParams BABYJUBJUB_PARAMS = BabyJubJubParams {
|
||||||
|
// Order of the curve for reference: 21888242871839275222246405745257275088614511777268538073601725287587578984328
|
||||||
|
JUBJUB_C: 8, // Cofactor
|
||||||
|
JUBJUB_A: 168700, // Coefficient A
|
||||||
|
JUBJUB_D: 168696, // Coefficient D
|
||||||
|
|
||||||
|
// Montgomery parameters
|
||||||
|
MONT_A: 168698,
|
||||||
|
MONT_B: 1,
|
||||||
|
|
||||||
|
// Point at infinity
|
||||||
|
INFINITY: [0, 1],
|
||||||
|
|
||||||
|
// Generator
|
||||||
|
Gu: 16540640123574156134436876038791482806971768689494387082833631921987005038935,
|
||||||
|
Gv: 20819045374670962167435360035096875258406992893633759881276124905556507972311
|
||||||
|
};
|
||||||
|
|
||||||
|
def main() -> BabyJubJubParams {
|
||||||
|
return BABYJUBJUB_PARAMS;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,20 @@
|
||||||
|
from "ecc/babyjubjubParams" import BabyJubJubParams;
|
||||||
|
|
||||||
|
// Add two points on a twisted Edwards curve
|
||||||
|
// Curve parameters are defined with the last argument
|
||||||
|
// https://en.wikipedia.org/wiki/Twisted_Edwards_curve#Addition_on_twisted_Edwards_curves
|
||||||
|
def main(field[2] pt1, field[2] pt2, BabyJubJubParams context) -> field[2] {
|
||||||
|
|
||||||
|
field a = context.JUBJUB_A;
|
||||||
|
field d = context.JUBJUB_D;
|
||||||
|
|
||||||
|
field u1 = pt1[0];
|
||||||
|
field v1 = pt1[1];
|
||||||
|
field u2 = pt2[0];
|
||||||
|
field v2 = pt2[1];
|
||||||
|
|
||||||
|
field uOut = (u1*v2 + v1*u2) / (1 + d*u1*u2*v1*v2);
|
||||||
|
field vOut = (v1*v2 - a*u1*u2) / (1 - d*u1*u2*v1*v2);
|
||||||
|
|
||||||
|
return [uOut, vOut];
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,21 @@
|
||||||
|
import "utils/pack/bool/nonStrictUnpack256" as unpack256;
|
||||||
|
|
||||||
|
// Compress JubJub Curve Point to 256bit array using big endianness bit order
|
||||||
|
// Python reference code from pycrypto:
|
||||||
|
// def compress(self):
|
||||||
|
// x = self.x.n
|
||||||
|
// y = self.y.n
|
||||||
|
// return int.to_bytes(y | ((x & 1) << 255), 32, "big")
|
||||||
|
|
||||||
|
def main(field[2] pt) -> bool[256] {
|
||||||
|
field x = pt[0];
|
||||||
|
field y = pt[1];
|
||||||
|
|
||||||
|
bool[256] xBits = unpack256(x);
|
||||||
|
bool[256] mut yBits = unpack256(y);
|
||||||
|
|
||||||
|
bool sign = xBits[255];
|
||||||
|
yBits[0] = sign;
|
||||||
|
|
||||||
|
return yBits;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,9 @@
|
||||||
|
// Negate a point on an Edwards curve
|
||||||
|
// Curve parameters are defined with the last argument
|
||||||
|
// Twisted Edwards Curves, BBJLP-2008, section 2 pg 2
|
||||||
|
def main(field[2] pt) -> field[2] {
|
||||||
|
field u = pt[0];
|
||||||
|
field v = pt[1];
|
||||||
|
|
||||||
|
return [-u, v];
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,17 @@
|
||||||
|
from "ecc/babyjubjubParams" import BabyJubJubParams;
|
||||||
|
|
||||||
|
// Check if a point is on a twisted Edwards curve
|
||||||
|
// Curve parameters are defined with the last argument
|
||||||
|
// See appendix 3.3.1 of Zcash protocol specification:
|
||||||
|
// https://github.com/zcash/zips/blob/master/protocol/protocol.pdf
|
||||||
|
def main(field[2] pt, BabyJubJubParams context) -> bool {
|
||||||
|
field a = context.JUBJUB_A;
|
||||||
|
field d = context.JUBJUB_D;
|
||||||
|
|
||||||
|
field uu = pt[0] * pt[0];
|
||||||
|
field vv = pt[1] * pt[1];
|
||||||
|
field uuvv = uu * vv;
|
||||||
|
|
||||||
|
assert(a * uu + vv == 1 + d * uuvv);
|
||||||
|
return true;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,26 @@
|
||||||
|
import "ecc/edwardsAdd" as add;
|
||||||
|
import "ecc/edwardsScalarMult" as multiply;
|
||||||
|
import "utils/pack/bool/nonStrictUnpack256" as unpack256;
|
||||||
|
from "ecc/babyjubjubParams" import BabyJubJubParams;
|
||||||
|
|
||||||
|
// Verifies that the point is not one of the low-order points.
|
||||||
|
// If any of the points is multiplied by the cofactor, the resulting point
|
||||||
|
// will be infinity.
|
||||||
|
// Returns true if the point is not one of the low-order points, false otherwise.
|
||||||
|
// Curve parameters are defined with the last argument
|
||||||
|
// https://github.com/zcash-hackworks/sapling-crypto/blob/master/src/jubjub/edwards.rs#L166
|
||||||
|
def main(field[2] pt, BabyJubJubParams context) -> bool {
|
||||||
|
field cofactor = context.JUBJUB_C;
|
||||||
|
assert(cofactor == 8);
|
||||||
|
|
||||||
|
// Co-factor currently hard-coded to 8 for efficiency reasons
|
||||||
|
// See discussion here: https://github.com/Zokrates/ZoKrates/pull/301#discussion_r267203391
|
||||||
|
// Generic code:
|
||||||
|
// bool[256] cofactorExponent = unpack256(cofactor);
|
||||||
|
// field[2] ptExp = multiply(cofactorExponent, pt, context);
|
||||||
|
field[2] mut ptExp = add(pt, pt, context); // 2*pt
|
||||||
|
ptExp = add(ptExp, ptExp, context); // 4*pt
|
||||||
|
ptExp = add(ptExp, ptExp, context); // 8*pt
|
||||||
|
|
||||||
|
return !(ptExp[0] == 0 && ptExp[1] == 1);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,26 @@
|
||||||
|
import "ecc/edwardsAdd" as add;
|
||||||
|
import "ecc/edwardsOnCurve" as onCurve;
|
||||||
|
from "ecc/babyjubjubParams" import BabyJubJubParams;
|
||||||
|
|
||||||
|
// Function that implements scalar multiplication for a fixed base point
|
||||||
|
// Curve parameters are defined with the last argument
|
||||||
|
// The exponent is hard-coded to a 256bit scalar, hence we allow wrapping around the group for certain
|
||||||
|
// curve parameters.
|
||||||
|
// Note that the exponent array is not check to be boolean in this gadget
|
||||||
|
// Reference: https://github.com/zcash-hackworks/sapling-crypto/blob/master/src/jubjub/fs.rs#L555
|
||||||
|
def main(bool[256] exponent, field[2] pt, BabyJubJubParams context) -> field[2] {
|
||||||
|
field[2] infinity = context.INFINITY;
|
||||||
|
|
||||||
|
field[2] mut doubledP = pt;
|
||||||
|
field[2] mut accumulatedP = infinity;
|
||||||
|
|
||||||
|
for u32 i in 0..256 {
|
||||||
|
u32 j = 255 - i;
|
||||||
|
field[2] candidateP = add(accumulatedP, doubledP, context);
|
||||||
|
accumulatedP = exponent[j] ? candidateP : accumulatedP;
|
||||||
|
doubledP = add(doubledP, doubledP, context);
|
||||||
|
}
|
||||||
|
|
||||||
|
assert(onCurve(accumulatedP, context));
|
||||||
|
return accumulatedP;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,28 @@
|
||||||
|
import "ecc/edwardsAdd" as add;
|
||||||
|
import "ecc/edwardsScalarMult" as multiply;
|
||||||
|
import "utils/pack/bool/nonStrictUnpack256" as unpack256;
|
||||||
|
from "ecc/babyjubjubParams" import BabyJubJubParams;
|
||||||
|
|
||||||
|
/// Verifies match of a given public/private keypair.
|
||||||
|
///
|
||||||
|
/// Checks if the following equation holds for the provided keypair:
|
||||||
|
/// pk = sk*G
|
||||||
|
/// where G is the chosen base point of the subgroup
|
||||||
|
/// and * denotes scalar multiplication in the subgroup
|
||||||
|
///
|
||||||
|
/// Arguments:
|
||||||
|
/// pk: Curve point. Public key.
|
||||||
|
/// sk: Field element. Private key.
|
||||||
|
/// context: Curve parameters (including generator G) used to create keypair.
|
||||||
|
///
|
||||||
|
/// Returns:
|
||||||
|
/// Return true for pk/sk being a valid keypair, false otherwise.
|
||||||
|
def main(field[2] pk, field sk, BabyJubJubParams context) -> bool {
|
||||||
|
field[2] G = [context.Gu, context.Gv];
|
||||||
|
|
||||||
|
bool[256] skBits = unpack256(sk);
|
||||||
|
field[2] ptExp = multiply(skBits, G, context);
|
||||||
|
|
||||||
|
bool out = ptExp[0] == pk[0] && ptExp[1] == pk[1];
|
||||||
|
return out;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,4 @@
|
||||||
|
from "EMBED" import FIELD_SIZE_IN_BITS;
|
||||||
|
|
||||||
|
const field FIELD_MIN = 0;
|
||||||
|
const field FIELD_MAX = -1;
|
||||||
|
|
@ -0,0 +1,5 @@
|
||||||
|
import "hashes/blake2/blake2s_p" as blake2s_p;
|
||||||
|
|
||||||
|
def main<K>(u32[K][16] input) -> u32[8] {
|
||||||
|
return blake2s_p(input, [0; 2]);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,117 @@
|
||||||
|
// https://tools.ietf.org/html/rfc7693
|
||||||
|
|
||||||
|
import "utils/casts/u32_to_bits";
|
||||||
|
import "utils/casts/u32_from_bits";
|
||||||
|
|
||||||
|
// Initialization Vector, section 2.6.
|
||||||
|
const u32[8] IV = [
|
||||||
|
0x6A09E667, 0xBB67AE85, 0x3C6EF372, 0xA54FF53A,
|
||||||
|
0x510E527F, 0x9B05688C, 0x1F83D9AB, 0x5BE0CD19
|
||||||
|
];
|
||||||
|
|
||||||
|
// Message Schedule SIGMA, section 2.7.
|
||||||
|
const u32[10][16] SIGMA = [
|
||||||
|
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15],
|
||||||
|
[14, 10, 4, 8, 9, 15, 13, 6, 1, 12, 0, 2, 11, 7, 5, 3],
|
||||||
|
[11, 8, 12, 0, 5, 2, 15, 13, 10, 14, 3, 6, 7, 1, 9, 4],
|
||||||
|
[7, 9, 3, 1, 13, 12, 11, 14, 2, 6, 5, 10, 4, 0, 15, 8],
|
||||||
|
[9, 0, 5, 7, 2, 4, 10, 15, 14, 1, 11, 12, 6, 8, 3, 13],
|
||||||
|
[2, 12, 6, 10, 0, 11, 8, 3, 4, 13, 7, 5, 15, 14, 1, 9],
|
||||||
|
[12, 5, 1, 15, 14, 13, 4, 10, 0, 7, 6, 3, 9, 2, 8, 11],
|
||||||
|
[13, 11, 7, 14, 12, 1, 3, 9, 5, 0, 15, 4, 8, 6, 2, 10],
|
||||||
|
[6, 15, 14, 9, 11, 3, 0, 8, 12, 2, 13, 7, 1, 4, 10, 5],
|
||||||
|
[10, 2, 8, 4, 7, 6, 1, 5, 15, 11, 9, 14, 3, 12, 13, 0]
|
||||||
|
];
|
||||||
|
|
||||||
|
// right rotation
|
||||||
|
def rotr32<N>(u32 x) -> u32 {
|
||||||
|
return (x >> N) | (x << (32 - N));
|
||||||
|
}
|
||||||
|
|
||||||
|
// change endianness
|
||||||
|
def swap_u32(u32 val) -> u32 {
|
||||||
|
return (val << 24) | \
|
||||||
|
((val << 8) & 0x00ff0000) | \
|
||||||
|
((val >> 8) & 0x0000ff00) | \
|
||||||
|
((val >> 24) & 0x000000ff);
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
def mixing_g(u32[16] mut v, u32 a, u32 b, u32 c, u32 d, u32 x, u32 y) -> u32[16] {
|
||||||
|
v[a] = (v[a] + v[b] + x);
|
||||||
|
v[d] = rotr32::<16>(v[d] ^ v[a]);
|
||||||
|
v[c] = (v[c] + v[d]);
|
||||||
|
v[b] = rotr32::<12>(v[b] ^ v[c]);
|
||||||
|
v[a] = (v[a] + v[b] + y);
|
||||||
|
v[d] = rotr32::<8>(v[d] ^ v[a]);
|
||||||
|
v[c] = (v[c] + v[d]);
|
||||||
|
v[b] = rotr32::<7>(v[b] ^ v[c]);
|
||||||
|
return v;
|
||||||
|
}
|
||||||
|
|
||||||
|
def blake2s_compression(u32[8] mut h, u32[16] m, u32[2] t, bool last) -> u32[8] {
|
||||||
|
u32[16] mut v = [...h, ...IV];
|
||||||
|
|
||||||
|
v[12] = v[12] ^ t[0];
|
||||||
|
v[13] = v[13] ^ t[1];
|
||||||
|
v[14] = last ? v[14] ^ 0xFFFFFFFF : v[14];
|
||||||
|
|
||||||
|
for u32 i in 0..10 {
|
||||||
|
u32[16] s = SIGMA[i];
|
||||||
|
v = mixing_g(v, 0, 4, 8, 12, m[s[0]], m[s[1]]);
|
||||||
|
v = mixing_g(v, 1, 5, 9, 13, m[s[2]], m[s[3]]);
|
||||||
|
v = mixing_g(v, 2, 6, 10, 14, m[s[4]], m[s[5]]);
|
||||||
|
v = mixing_g(v, 3, 7, 11, 15, m[s[6]], m[s[7]]);
|
||||||
|
v = mixing_g(v, 0, 5, 10, 15, m[s[8]], m[s[9]]);
|
||||||
|
v = mixing_g(v, 1, 6, 11, 12, m[s[10]], m[s[11]]);
|
||||||
|
v = mixing_g(v, 2, 7, 8, 13, m[s[12]], m[s[13]]);
|
||||||
|
v = mixing_g(v, 3, 4, 9, 14, m[s[14]], m[s[15]]);
|
||||||
|
}
|
||||||
|
|
||||||
|
for u32 i in 0..8 {
|
||||||
|
h[i] = h[i] ^ v[i] ^ v[i + 8];
|
||||||
|
}
|
||||||
|
|
||||||
|
return h;
|
||||||
|
}
|
||||||
|
|
||||||
|
def main<K>(u32[K][16] mut input, u32[2] p) -> u32[8] {
|
||||||
|
u32[8] mut h = [
|
||||||
|
IV[0] ^ 0x01010000 ^ 0x00000020,
|
||||||
|
IV[1],
|
||||||
|
IV[2],
|
||||||
|
IV[3],
|
||||||
|
IV[4],
|
||||||
|
IV[5],
|
||||||
|
IV[6] ^ swap_u32(p[0]),
|
||||||
|
IV[7] ^ swap_u32(p[1])
|
||||||
|
];
|
||||||
|
|
||||||
|
u32 mut t0 = 0;
|
||||||
|
u32 mut t1 = 0;
|
||||||
|
|
||||||
|
// change endianness of inputs from big endian to little endian
|
||||||
|
for u32 i in 0..K {
|
||||||
|
for u32 j in 0..16 {
|
||||||
|
input[i][j] = swap_u32(input[i][j]);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
for u32 i in 0..K-1 {
|
||||||
|
t0 = (i + 1) * 64;
|
||||||
|
t1 = t0 == 0 ? t1 + 1 : t1;
|
||||||
|
h = blake2s_compression(h, input[i], [t0, t1], false);
|
||||||
|
}
|
||||||
|
|
||||||
|
t0 = t0 + 64;
|
||||||
|
t1 = t0 == 0 ? t1 + 1 : t1;
|
||||||
|
|
||||||
|
h = blake2s_compression(h, input[K - 1], [t0, t1], true);
|
||||||
|
|
||||||
|
// change endianness of output from little endian to big endian
|
||||||
|
for u32 i in 0..8 {
|
||||||
|
h[i] = swap_u32(h[i]);
|
||||||
|
}
|
||||||
|
|
||||||
|
return h;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,5 @@
|
||||||
|
from "hashes/keccak/keccak" import main as keccak;
|
||||||
|
|
||||||
|
def main<N>(u8[N] input) -> u8[28] {
|
||||||
|
return keccak::<_, 28>(input, 0x01);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,5 @@
|
||||||
|
from "hashes/keccak/keccak" import main as keccak;
|
||||||
|
|
||||||
|
def main<N>(u8[N] input) -> u8[32] {
|
||||||
|
return keccak::<_, 32>(input, 0x01);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,5 @@
|
||||||
|
from "hashes/keccak/keccak" import main as keccak;
|
||||||
|
|
||||||
|
def main<N>(u8[N] input) -> u8[48] {
|
||||||
|
return keccak::<_, 48>(input, 0x01);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,5 @@
|
||||||
|
from "hashes/keccak/keccak" import main as keccak;
|
||||||
|
|
||||||
|
def main<N>(u8[N] input) -> u8[64] {
|
||||||
|
return keccak::<_, 64>(input, 0x01);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,161 @@
|
||||||
|
// https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.202.pdf
|
||||||
|
// based on keccak-f[1600] permutation
|
||||||
|
|
||||||
|
import "utils/casts/u8_to_bits";
|
||||||
|
import "utils/casts/u8_from_bits";
|
||||||
|
import "utils/casts/u64_to_bits";
|
||||||
|
import "utils/casts/u64_from_bits";
|
||||||
|
|
||||||
|
const u32[24] RHO = [
|
||||||
|
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 2, 14,
|
||||||
|
27, 41, 56, 8, 25, 43, 62, 18, 39, 61, 20, 44
|
||||||
|
];
|
||||||
|
|
||||||
|
const u32[24] PI = [
|
||||||
|
10, 7, 11, 17, 18, 3, 5, 16, 8, 21, 24, 4,
|
||||||
|
15, 23, 19, 13, 12, 2, 20, 14, 22, 9, 6, 1
|
||||||
|
];
|
||||||
|
|
||||||
|
const u64[24] RC = [
|
||||||
|
0x0000000000000001, 0x0000000000008082, 0x800000000000808a,
|
||||||
|
0x8000000080008000, 0x000000000000808b, 0x0000000080000001,
|
||||||
|
0x8000000080008081, 0x8000000000008009, 0x000000000000008a,
|
||||||
|
0x0000000000000088, 0x0000000080008009, 0x000000008000000a,
|
||||||
|
0x000000008000808b, 0x800000000000008b, 0x8000000000008089,
|
||||||
|
0x8000000000008003, 0x8000000000008002, 0x8000000000000080,
|
||||||
|
0x000000000000800a, 0x800000008000000a, 0x8000000080008081,
|
||||||
|
0x8000000000008080, 0x0000000080000001, 0x8000000080008008
|
||||||
|
];
|
||||||
|
|
||||||
|
// left rotation
|
||||||
|
def rotl64(u64 x, u32 n) -> u64 {
|
||||||
|
return ((x << n) | (x >> (64 - n)));
|
||||||
|
}
|
||||||
|
|
||||||
|
// change endianness
|
||||||
|
def swap_u64(u64 mut val) -> u64 {
|
||||||
|
val = ((val << 8) & 0xFF00FF00FF00FF00) | ((val >> 8) & 0x00FF00FF00FF00FF);
|
||||||
|
val = ((val << 16) & 0xFFFF0000FFFF0000) | ((val >> 16) & 0x0000FFFF0000FFFF);
|
||||||
|
return (val << 32) | (val >> 32);
|
||||||
|
}
|
||||||
|
|
||||||
|
// compression function
|
||||||
|
def keccakf(u64[25] mut st) -> u64[25] {
|
||||||
|
u64[5] mut bc = [0; 5];
|
||||||
|
u64 mut t = 0;
|
||||||
|
|
||||||
|
for u32 i in 0..25 {
|
||||||
|
st[i] = swap_u64(st[i]);
|
||||||
|
}
|
||||||
|
|
||||||
|
for u32 r in 0..24 {
|
||||||
|
// theta
|
||||||
|
for u32 i in 0..5 {
|
||||||
|
bc[i] = st[i] ^ st[i + 5] ^ st[i + 10] ^ st[i + 15] ^ st[i + 20];
|
||||||
|
}
|
||||||
|
|
||||||
|
for u32 i in 0..5 {
|
||||||
|
t = bc[(i + 4) % 5] ^ rotl64(bc[(i + 1) % 5], 1);
|
||||||
|
for u32 j in 0..5 {
|
||||||
|
st[(j * 5) + i] = st[(j * 5) + i] ^ t;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
t = st[1];
|
||||||
|
|
||||||
|
// rho pi
|
||||||
|
for u32 i in 0..24 {
|
||||||
|
u32 j = PI[i];
|
||||||
|
bc[0] = st[j];
|
||||||
|
st[j] = rotl64(t, RHO[i]);
|
||||||
|
t = bc[0];
|
||||||
|
}
|
||||||
|
|
||||||
|
// chi
|
||||||
|
for u32 i in 0..5 {
|
||||||
|
for u32 j in 0..5 {
|
||||||
|
bc[j] = st[(i * 5) + j];
|
||||||
|
}
|
||||||
|
for u32 j in 0..5 {
|
||||||
|
u32 p = (i * 5) + j;
|
||||||
|
st[p] = st[p] ^ (!bc[(j + 1) % 5] & bc[(j + 2) % 5]);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
// iota
|
||||||
|
st[0] = st[0] ^ RC[r];
|
||||||
|
}
|
||||||
|
|
||||||
|
for u32 i in 0..25 {
|
||||||
|
st[i] = swap_u64(st[i]);
|
||||||
|
}
|
||||||
|
|
||||||
|
return st;
|
||||||
|
}
|
||||||
|
|
||||||
|
def u64_from_u8_array(u8[8] input) -> u64 {
|
||||||
|
bool[64] bits = [
|
||||||
|
...u8_to_bits(input[0]),
|
||||||
|
...u8_to_bits(input[1]),
|
||||||
|
...u8_to_bits(input[2]),
|
||||||
|
...u8_to_bits(input[3]),
|
||||||
|
...u8_to_bits(input[4]),
|
||||||
|
...u8_to_bits(input[5]),
|
||||||
|
...u8_to_bits(input[6]),
|
||||||
|
...u8_to_bits(input[7])
|
||||||
|
];
|
||||||
|
return u64_from_bits(bits);
|
||||||
|
}
|
||||||
|
|
||||||
|
def u64_to_u8_array(u64 input) -> u8[8] {
|
||||||
|
bool[64] bits = u64_to_bits(input);
|
||||||
|
return [
|
||||||
|
u8_from_bits(bits[0..8]),
|
||||||
|
u8_from_bits(bits[8..16]),
|
||||||
|
u8_from_bits(bits[16..24]),
|
||||||
|
u8_from_bits(bits[24..32]),
|
||||||
|
u8_from_bits(bits[32..40]),
|
||||||
|
u8_from_bits(bits[40..48]),
|
||||||
|
u8_from_bits(bits[48..56]),
|
||||||
|
u8_from_bits(bits[56..64])
|
||||||
|
];
|
||||||
|
}
|
||||||
|
|
||||||
|
def to_bytes(u64[25] input) -> u8[200] {
|
||||||
|
u8[200] mut output = [0; 200];
|
||||||
|
for u32 i in 0..25 {
|
||||||
|
u8[8] t = u64_to_u8_array(input[i]);
|
||||||
|
for u32 j in 0..8 {
|
||||||
|
output[i * 8 + j] = t[j];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return output;
|
||||||
|
}
|
||||||
|
|
||||||
|
def from_bytes(u8[200] input) -> u64[25] {
|
||||||
|
u64[25] mut output = [0; 25];
|
||||||
|
for u32 i in 0..25 {
|
||||||
|
output[i] = u64_from_u8_array(input[i*8..i*8+8]);
|
||||||
|
}
|
||||||
|
return output;
|
||||||
|
}
|
||||||
|
|
||||||
|
def main<N, W>(u8[N] mut input, u8 delim) -> u8[W] {
|
||||||
|
u8[200] mut b = [0; 200];
|
||||||
|
u32 rate = 200 - (2 * W);
|
||||||
|
u32 mut pt = 0;
|
||||||
|
|
||||||
|
// update
|
||||||
|
for u32 i in 0..N {
|
||||||
|
b[pt] = b[pt] ^ input[i];
|
||||||
|
pt = (pt + 1) % rate;
|
||||||
|
b = pt == 0 ? to_bytes(keccakf(from_bytes(b))) : b;
|
||||||
|
}
|
||||||
|
|
||||||
|
// finalize
|
||||||
|
b[pt] = b[pt] ^ delim;
|
||||||
|
b[rate - 1] = b[rate - 1] ^ 0x80;
|
||||||
|
b = to_bytes(keccakf(from_bytes(b)));
|
||||||
|
|
||||||
|
return b[..W];
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,112 @@
|
||||||
|
const field[91] C = [
|
||||||
|
0,
|
||||||
|
20888961410941983456478427210666206549300505294776164667214940546594746570981,
|
||||||
|
15265126113435022738560151911929040668591755459209400716467504685752745317193,
|
||||||
|
8334177627492981984476504167502758309043212251641796197711684499645635709656,
|
||||||
|
1374324219480165500871639364801692115397519265181803854177629327624133579404,
|
||||||
|
11442588683664344394633565859260176446561886575962616332903193988751292992472,
|
||||||
|
2558901189096558760448896669327086721003508630712968559048179091037845349145,
|
||||||
|
11189978595292752354820141775598510151189959177917284797737745690127318076389,
|
||||||
|
3262966573163560839685415914157855077211340576201936620532175028036746741754,
|
||||||
|
17029914891543225301403832095880481731551830725367286980611178737703889171730,
|
||||||
|
4614037031668406927330683909387957156531244689520944789503628527855167665518,
|
||||||
|
19647356996769918391113967168615123299113119185942498194367262335168397100658,
|
||||||
|
5040699236106090655289931820723926657076483236860546282406111821875672148900,
|
||||||
|
2632385916954580941368956176626336146806721642583847728103570779270161510514,
|
||||||
|
17691411851977575435597871505860208507285462834710151833948561098560743654671,
|
||||||
|
11482807709115676646560379017491661435505951727793345550942389701970904563183,
|
||||||
|
8360838254132998143349158726141014535383109403565779450210746881879715734773,
|
||||||
|
12663821244032248511491386323242575231591777785787269938928497649288048289525,
|
||||||
|
3067001377342968891237590775929219083706800062321980129409398033259904188058,
|
||||||
|
8536471869378957766675292398190944925664113548202769136103887479787957959589,
|
||||||
|
19825444354178182240559170937204690272111734703605805530888940813160705385792,
|
||||||
|
16703465144013840124940690347975638755097486902749048533167980887413919317592,
|
||||||
|
13061236261277650370863439564453267964462486225679643020432589226741411380501,
|
||||||
|
10864774797625152707517901967943775867717907803542223029967000416969007792571,
|
||||||
|
10035653564014594269791753415727486340557376923045841607746250017541686319774,
|
||||||
|
3446968588058668564420958894889124905706353937375068998436129414772610003289,
|
||||||
|
4653317306466493184743870159523234588955994456998076243468148492375236846006,
|
||||||
|
8486711143589723036499933521576871883500223198263343024003617825616410932026,
|
||||||
|
250710584458582618659378487568129931785810765264752039738223488321597070280,
|
||||||
|
2104159799604932521291371026105311735948154964200596636974609406977292675173,
|
||||||
|
16313562605837709339799839901240652934758303521543693857533755376563489378839,
|
||||||
|
6032365105133504724925793806318578936233045029919447519826248813478479197288,
|
||||||
|
14025118133847866722315446277964222215118620050302054655768867040006542798474,
|
||||||
|
7400123822125662712777833064081316757896757785777291653271747396958201309118,
|
||||||
|
1744432620323851751204287974553233986555641872755053103823939564833813704825,
|
||||||
|
8316378125659383262515151597439205374263247719876250938893842106722210729522,
|
||||||
|
6739722627047123650704294650168547689199576889424317598327664349670094847386,
|
||||||
|
21211457866117465531949733809706514799713333930924902519246949506964470524162,
|
||||||
|
13718112532745211817410303291774369209520657938741992779396229864894885156527,
|
||||||
|
5264534817993325015357427094323255342713527811596856940387954546330728068658,
|
||||||
|
18884137497114307927425084003812022333609937761793387700010402412840002189451,
|
||||||
|
5148596049900083984813839872929010525572543381981952060869301611018636120248,
|
||||||
|
19799686398774806587970184652860783461860993790013219899147141137827718662674,
|
||||||
|
19240878651604412704364448729659032944342952609050243268894572835672205984837,
|
||||||
|
10546185249390392695582524554167530669949955276893453512788278945742408153192,
|
||||||
|
5507959600969845538113649209272736011390582494851145043668969080335346810411,
|
||||||
|
18177751737739153338153217698774510185696788019377850245260475034576050820091,
|
||||||
|
19603444733183990109492724100282114612026332366576932662794133334264283907557,
|
||||||
|
10548274686824425401349248282213580046351514091431715597441736281987273193140,
|
||||||
|
1823201861560942974198127384034483127920205835821334101215923769688644479957,
|
||||||
|
11867589662193422187545516240823411225342068709600734253659804646934346124945,
|
||||||
|
18718569356736340558616379408444812528964066420519677106145092918482774343613,
|
||||||
|
10530777752259630125564678480897857853807637120039176813174150229243735996839,
|
||||||
|
20486583726592018813337145844457018474256372770211860618687961310422228379031,
|
||||||
|
12690713110714036569415168795200156516217175005650145422920562694422306200486,
|
||||||
|
17386427286863519095301372413760745749282643730629659997153085139065756667205,
|
||||||
|
2216432659854733047132347621569505613620980842043977268828076165669557467682,
|
||||||
|
6309765381643925252238633914530877025934201680691496500372265330505506717193,
|
||||||
|
20806323192073945401862788605803131761175139076694468214027227878952047793390,
|
||||||
|
4037040458505567977365391535756875199663510397600316887746139396052445718861,
|
||||||
|
19948974083684238245321361840704327952464170097132407924861169241740046562673,
|
||||||
|
845322671528508199439318170916419179535949348988022948153107378280175750024,
|
||||||
|
16222384601744433420585982239113457177459602187868460608565289920306145389382,
|
||||||
|
10232118865851112229330353999139005145127746617219324244541194256766741433339,
|
||||||
|
6699067738555349409504843460654299019000594109597429103342076743347235369120,
|
||||||
|
6220784880752427143725783746407285094967584864656399181815603544365010379208,
|
||||||
|
6129250029437675212264306655559561251995722990149771051304736001195288083309,
|
||||||
|
10773245783118750721454994239248013870822765715268323522295722350908043393604,
|
||||||
|
4490242021765793917495398271905043433053432245571325177153467194570741607167,
|
||||||
|
19596995117319480189066041930051006586888908165330319666010398892494684778526,
|
||||||
|
837850695495734270707668553360118467905109360511302468085569220634750561083,
|
||||||
|
11803922811376367215191737026157445294481406304781326649717082177394185903907,
|
||||||
|
10201298324909697255105265958780781450978049256931478989759448189112393506592,
|
||||||
|
13564695482314888817576351063608519127702411536552857463682060761575100923924,
|
||||||
|
9262808208636973454201420823766139682381973240743541030659775288508921362724,
|
||||||
|
173271062536305557219323722062711383294158572562695717740068656098441040230,
|
||||||
|
18120430890549410286417591505529104700901943324772175772035648111937818237369,
|
||||||
|
20484495168135072493552514219686101965206843697794133766912991150184337935627,
|
||||||
|
19155651295705203459475805213866664350848604323501251939850063308319753686505,
|
||||||
|
11971299749478202793661982361798418342615500543489781306376058267926437157297,
|
||||||
|
18285310723116790056148596536349375622245669010373674803854111592441823052978,
|
||||||
|
7069216248902547653615508023941692395371990416048967468982099270925308100727,
|
||||||
|
6465151453746412132599596984628739550147379072443683076388208843341824127379,
|
||||||
|
16143532858389170960690347742477978826830511669766530042104134302796355145785,
|
||||||
|
19362583304414853660976404410208489566967618125972377176980367224623492419647,
|
||||||
|
1702213613534733786921602839210290505213503664731919006932367875629005980493,
|
||||||
|
10781825404476535814285389902565833897646945212027592373510689209734812292327,
|
||||||
|
4212716923652881254737947578600828255798948993302968210248673545442808456151,
|
||||||
|
7594017890037021425366623750593200398174488805473151513558919864633711506220,
|
||||||
|
18979889247746272055963929241596362599320706910852082477600815822482192194401,
|
||||||
|
13602139229813231349386885113156901793661719180900395818909719758150455500533
|
||||||
|
];
|
||||||
|
|
||||||
|
def main<R>(field x_in, field k) -> field {
|
||||||
|
field mut t = 0;
|
||||||
|
field[R] mut t2 = [0; R];
|
||||||
|
field[R] mut t4 = [0; R];
|
||||||
|
field[R] mut t6 = [0; R];
|
||||||
|
field[R] mut t7 = [0; R]; // we define t7 length +1 to avoid conditional branching
|
||||||
|
|
||||||
|
for u32 i in 0..R {
|
||||||
|
u32 i2 = i == 0 ? 0 : i - 1;
|
||||||
|
t = i == 0 ? k + x_in : k + t7[i2] + C[i];
|
||||||
|
t2[i] = t * t;
|
||||||
|
t4[i] = t2[i] * t2[i];
|
||||||
|
t6[i] = t4[i] * t2[i];
|
||||||
|
t7[i] = t6[i] * t;
|
||||||
|
}
|
||||||
|
|
||||||
|
return t6[R - 1] * t + k;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,250 @@
|
||||||
|
// MiMCFeistel configured with 220 rounds
|
||||||
|
|
||||||
|
const u32 R = 220;
|
||||||
|
const field[R] IV = [
|
||||||
|
0,
|
||||||
|
7120861356467848435263064379192047478074060781135320967663101236819528304084,
|
||||||
|
5024705281721889198577876690145313457398658950011302225525409148828000436681,
|
||||||
|
17980351014018068290387269214713820287804403312720763401943303895585469787384,
|
||||||
|
19886576439381707240399940949310933992335779767309383709787331470398675714258,
|
||||||
|
1213715278223786725806155661738676903520350859678319590331207960381534602599,
|
||||||
|
18162138253399958831050545255414688239130588254891200470934232514682584734511,
|
||||||
|
7667462281466170157858259197976388676420847047604921256361474169980037581876,
|
||||||
|
7207551498477838452286210989212982851118089401128156132319807392460388436957,
|
||||||
|
9864183311657946807255900203841777810810224615118629957816193727554621093838,
|
||||||
|
4798196928559910300796064665904583125427459076060519468052008159779219347957,
|
||||||
|
17387238494588145257484818061490088963673275521250153686214197573695921400950,
|
||||||
|
10005334761930299057035055370088813230849810566234116771751925093634136574742,
|
||||||
|
11897542014760736209670863723231849628230383119798486487899539017466261308762,
|
||||||
|
16771780563523793011283273687253985566177232886900511371656074413362142152543,
|
||||||
|
749264854018824809464168489785113337925400687349357088413132714480582918506,
|
||||||
|
3683645737503705042628598550438395339383572464204988015434959428676652575331,
|
||||||
|
7556750851783822914673316211129907782679509728346361368978891584375551186255,
|
||||||
|
20391289379084797414557439284689954098721219201171527383291525676334308303023,
|
||||||
|
18146517657445423462330854383025300323335289319277199154920964274562014376193,
|
||||||
|
8080173465267536232534446836148661251987053305394647905212781979099916615292,
|
||||||
|
10796443006899450245502071131975731672911747129805343722228413358507805531141,
|
||||||
|
5404287610364961067658660283245291234008692303120470305032076412056764726509,
|
||||||
|
4623894483395123520243967718315330178025957095502546813929290333264120223168,
|
||||||
|
16845753148201777192406958674202574751725237939980634861948953189320362207797,
|
||||||
|
4622170486584704769521001011395820886029808520586507873417553166762370293671,
|
||||||
|
16688277490485052681847773549197928630624828392248424077804829676011512392564,
|
||||||
|
11878652861183667748838188993669912629573713271883125458838494308957689090959,
|
||||||
|
2436445725746972287496138382764643208791713986676129260589667864467010129482,
|
||||||
|
1888098689545151571063267806606510032698677328923740058080630641742325067877,
|
||||||
|
148924106504065664829055598316821983869409581623245780505601526786791681102,
|
||||||
|
18875020877782404439294079398043479420415331640996249745272087358069018086569,
|
||||||
|
15189693413320228845990326214136820307649565437237093707846682797649429515840,
|
||||||
|
19669450123472657781282985229369348220906547335081730205028099210442632534079,
|
||||||
|
5521922218264623411380547905210139511350706092570900075727555783240701821773,
|
||||||
|
4144769320246558352780591737261172907511489963810975650573703217887429086546,
|
||||||
|
10097732913112662248360143041019433907849917041759137293018029019134392559350,
|
||||||
|
1720059427972723034107765345743336447947522473310069975142483982753181038321,
|
||||||
|
6302388219880227251325608388535181451187131054211388356563634768253301290116,
|
||||||
|
6745410632962119604799318394592010194450845483518862700079921360015766217097,
|
||||||
|
10858157235265583624235850660462324469799552996870780238992046963007491306222,
|
||||||
|
20241898894740093733047052816576694435372877719072347814065227797906130857593,
|
||||||
|
10165780782761211520836029617746977303303335603838343292431760011576528327409,
|
||||||
|
2832093654883670345969792724123161241696170611611744759675180839473215203706,
|
||||||
|
153011722355526826233082383360057587249818749719433916258246100068258954737,
|
||||||
|
20196970640587451358539129330170636295243141659030208529338914906436009086943,
|
||||||
|
3180973917010545328313139835982464870638521890385603025657430208141494469656,
|
||||||
|
17198004293191777441573635123110935015228014028618868252989374962722329283022,
|
||||||
|
7642160509228669138628515458941659189680509753651629476399516332224325757132,
|
||||||
|
19346204940546791021518535594447257347218878114049998691060016493806845179755,
|
||||||
|
11501810868606870391127866188394535330696206817602260610801897042898616817272,
|
||||||
|
3113973447392053821824427670386252797811804954746053461397972968381571297505,
|
||||||
|
6545064306297957002139416752334741502722251869537551068239642131448768236585,
|
||||||
|
5203908808704813498389265425172875593837960384349653691918590736979872578408,
|
||||||
|
2246692432011290582160062129070762007374502637007107318105405626910313810224,
|
||||||
|
11760570435432189127645691249600821064883781677693087773459065574359292849137,
|
||||||
|
5543749482491340532547407723464609328207990784853381797689466144924198391839,
|
||||||
|
8837549193990558762776520822018694066937602576881497343584903902880277769302,
|
||||||
|
12855514863299373699594410385788943772765811961581749194183533625311486462501,
|
||||||
|
5363660674689121676875069134269386492382220935599781121306637800261912519729,
|
||||||
|
13162342403579303950549728848130828093497701266240457479693991108217307949435,
|
||||||
|
916941639326869583414469202910306428966657806899788970948781207501251816730,
|
||||||
|
15618589556584434434009868216186115416835494805174158488636000580759692174228,
|
||||||
|
8959562060028569701043973060670353733575345393653685776974948916988033453971,
|
||||||
|
16390754464333401712265575949874369157699293840516802426621216808905079127650,
|
||||||
|
168282396747788514908709091757591226095443902501365500003618183905496160435,
|
||||||
|
8327443473179334761744301768309008451162322941906921742120510244986704677004,
|
||||||
|
17213012626801210615058753489149961717422101711567228037597150941152495100640,
|
||||||
|
10394369641533736715250242399198097296122982486516256408681925424076248952280,
|
||||||
|
17784386835392322654196171115293700800825771210400152504776806618892170162248,
|
||||||
|
16533189939837087893364000390641148516479148564190420358849587959161226782982,
|
||||||
|
18725396114211370207078434315900726338547621160475533496863298091023511945076,
|
||||||
|
7132325028834551397904855671244375895110341505383911719294705267624034122405,
|
||||||
|
148317947440800089795933930720822493695520852448386394775371401743494965187,
|
||||||
|
19001050671757720352890779127693793630251266879994702723636759889378387053056,
|
||||||
|
18824274411769830274877839365728651108434404855803844568234862945613766611460,
|
||||||
|
12771414330193951156383998390424063470766226667986423961689712557338777174205,
|
||||||
|
11332046574800279729678603488745295198038913503395629790213378101166488244657,
|
||||||
|
9607550223176946388146938069307456967842408600269548190739947540821716354749,
|
||||||
|
8756385288462344550200229174435953103162307705310807828651304665320046782583,
|
||||||
|
176061952957067086877570020242717222844908281373122372938833890096257042779,
|
||||||
|
12200212977482648306758992405065921724409841940671166017620928947866825250857,
|
||||||
|
10868453624107875516866146499877130701929063632959660262366632833504750028858,
|
||||||
|
2016095394399807253596787752134573207202567875457560571095586743878953450738,
|
||||||
|
21815578223768330433802113452339488275704145896544481092014911825656390567514,
|
||||||
|
4923772847693564777744725640710197015181591950368494148029046443433103381621,
|
||||||
|
1813584943682214789802230765734821149202472893379265320098816901270224589984,
|
||||||
|
10810123816265612772922113403831964815724109728287572256602010709288980656498,
|
||||||
|
1153669123397255702524721206511185557982017410156956216465120456256288427021,
|
||||||
|
5007518659266430200134478928344522649876467369278722765097865662497773767152,
|
||||||
|
2511432546938591792036639990606464315121646668029252285288323664350666551637,
|
||||||
|
32883284540320451295484135704808083452381176816565850047310272290579727564,
|
||||||
|
10484856914279112612610993418405543310546746652738541161791501150994088679557,
|
||||||
|
2026733759645519472558796412979210009170379159866522399881566309631434814953,
|
||||||
|
14731806221235869882801331463708736361296174006732553130708107037190460654379,
|
||||||
|
14740327483193277147065845135561988641238516852487657117813536909482068950652,
|
||||||
|
18787428285295558781869865751953016580493190547148386433580291216673009884554,
|
||||||
|
3804047064713122820157099453648459188816376755739202017447862327783289895072,
|
||||||
|
16709604795697901641948603019242067672006293290826991671766611326262532802914,
|
||||||
|
11061717085931490100602849654034280576915102867237101935487893025907907250695,
|
||||||
|
2821730726367472966906149684046356272806484545281639696873240305052362149654,
|
||||||
|
17467794879902895769410571945152708684493991588672014763135370927880883292655,
|
||||||
|
1571520786233540988201616650622796363168031165456869481368085474420849243232,
|
||||||
|
10041051776251223165849354194892664881051125330236567356945669006147134614302,
|
||||||
|
3981753758468103976812813304477670033098707002886030847251581853700311567551,
|
||||||
|
4365864398105436789177703571412645548020537580493599380018290523813331678900,
|
||||||
|
2391801327305361293476178683853802679507598622000359948432171562543560193350,
|
||||||
|
214219368547551689972421167733597094823289857206402800635962137077096090722,
|
||||||
|
18192064100315141084242006659317257023098826945893371479835220462302399655674,
|
||||||
|
15487549757142039139328911515400805508248576685795694919457041092150651939253,
|
||||||
|
10142447197759703415402259672441315777933858467700579946665223821199077641122,
|
||||||
|
11246573086260753259993971254725613211193686683988426513880826148090811891866,
|
||||||
|
6574066859860991369704567902211886840188702386542112593710271426704432301235,
|
||||||
|
11311085442652291634822798307831431035776248927202286895207125867542470350078,
|
||||||
|
20977948360215259915441258687649465618185769343138135384346964466965010873779,
|
||||||
|
792781492853909872425531014397300057232399608769451037135936617996830018501,
|
||||||
|
5027602491523497423798779154966735896562099398367163998686335127580757861872,
|
||||||
|
14595204575654316237672764823862241845410365278802914304953002937313300553572,
|
||||||
|
13973538843621261113924259058427434053808430378163734641175100160836376897004,
|
||||||
|
16395063164993626722686882727042150241125309409717445381854913964674649318585,
|
||||||
|
8465768840047024550750516678171433288207841931251654898809033371655109266663,
|
||||||
|
21345603324471810861925019445720576814602636473739003852898308205213912255830,
|
||||||
|
21171984405852590343970239018692870799717057961108910523876770029017785940991,
|
||||||
|
10761027113757988230637066281488532903174559953630210849190212601991063767647,
|
||||||
|
6678298831065390834922566306988418588227382406175769592902974103663687992230,
|
||||||
|
4993662582188632374202316265508850988596880036291765531885657575099537176757,
|
||||||
|
18364168158495573675698600238443218434246806358811328083953887470513967121206,
|
||||||
|
3506345610354615013737144848471391553141006285964325596214723571988011984829,
|
||||||
|
248732676202643792226973868626360612151424823368345645514532870586234380100,
|
||||||
|
10090204501612803176317709245679152331057882187411777688746797044706063410969,
|
||||||
|
21297149835078365363970699581821844234354988617890041296044775371855432973500,
|
||||||
|
16729368143229828574342820060716366330476985824952922184463387490091156065099,
|
||||||
|
4467191506765339364971058668792642195242197133011672559453028147641428433293,
|
||||||
|
8677548159358013363291014307402600830078662555833653517843708051504582990832,
|
||||||
|
1022951765127126818581466247360193856197472064872288389992480993218645055345,
|
||||||
|
1888195070251580606973417065636430294417895423429240431595054184472931224452,
|
||||||
|
4221265384902749246920810956363310125115516771964522748896154428740238579824,
|
||||||
|
2825393571154632139467378429077438870179957021959813965940638905853993971879,
|
||||||
|
19171031072692942278056619599721228021635671304612437350119663236604712493093,
|
||||||
|
10780807212297131186617505517708903709488273075252405602261683478333331220733,
|
||||||
|
18230936781133176044598070768084230333433368654744509969087239465125979720995,
|
||||||
|
16901065971871379877929280081392692752968612240624985552337779093292740763381,
|
||||||
|
146494141603558321291767829522948454429758543710648402457451799015963102253,
|
||||||
|
2492729278659146790410698334997955258248120870028541691998279257260289595548,
|
||||||
|
2204224910006646535594933495262085193210692406133533679934843341237521233504,
|
||||||
|
16062117410185840274616925297332331018523844434907012275592638570193234893570,
|
||||||
|
5894928453677122829055071981254202951712129328678534592916926069506935491729,
|
||||||
|
4947482739415078212217504789923078546034438919537985740403824517728200332286,
|
||||||
|
16143265650645676880461646123844627780378251900510645261875867423498913438066,
|
||||||
|
397690828254561723549349897112473766901585444153303054845160673059519614409,
|
||||||
|
11272653598912269895509621181205395118899451234151664604248382803490621227687,
|
||||||
|
15566927854306879444693061574322104423426072650522411176731130806720753591030,
|
||||||
|
14222898219492484180162096141564251903058269177856173968147960855133048449557,
|
||||||
|
16690275395485630428127725067513114066329712673106153451801968992299636791385,
|
||||||
|
3667030990325966886479548860429670833692690972701471494757671819017808678584,
|
||||||
|
21280039024501430842616328642522421302481259067470872421086939673482530783142,
|
||||||
|
15895485136902450169492923978042129726601461603404514670348703312850236146328,
|
||||||
|
7733050956302327984762132317027414325566202380840692458138724610131603812560,
|
||||||
|
438123800976401478772659663183448617575635636575786782566035096946820525816,
|
||||||
|
814913922521637742587885320797606426167962526342166512693085292151314976633,
|
||||||
|
12368712287081330853637674140264759478736012797026621876924395982504369598764,
|
||||||
|
2494806857395134874309386694756263421445039103814920780777601708371037591569,
|
||||||
|
16101132301514338989512946061786320637179843435886825102406248183507106312877,
|
||||||
|
6252650284989960032925831409804233477770646333900692286731621844532438095656,
|
||||||
|
9277135875276787021836189566799935097400042171346561246305113339462708861695,
|
||||||
|
10493603554686607050979497281838644324893776154179810893893660722522945589063,
|
||||||
|
8673089750662709235894359384294076697329948991010184356091130382437645649279,
|
||||||
|
9558393272910366944245875920138649617479779893610128634419086981339060613250,
|
||||||
|
19012287860122586147374214541764572282814469237161122489573881644994964647218,
|
||||||
|
9783723818270121678386992630754842961728702994964214799008457449989291229500,
|
||||||
|
15550788416669474113213749561488122552422887538676036667630838378023479382689,
|
||||||
|
15016165746156232864069722572047169071786333815661109750860165034341572904221,
|
||||||
|
6506225705710197163670556961299945987488979904603689017479840649664564978574,
|
||||||
|
10796631184889302076168355684722130903785890709107732067446714470783437829037,
|
||||||
|
19871836214837460419845806980869387567383718044439891735114283113359312279540,
|
||||||
|
20871081766843466343749609089986071784031203517506781251203251608363835140622,
|
||||||
|
5100105771517691442278432864090229416166996183792075307747582375962855820797,
|
||||||
|
8777887112076272395250620301071581171386440850451972412060638225741125310886,
|
||||||
|
5300440870136391278944213332144327695659161151625757537632832724102670898756,
|
||||||
|
1205448543652932944633962232545707633928124666868453915721030884663332604536,
|
||||||
|
5542499997310181530432302492142574333860449305424174466698068685590909336771,
|
||||||
|
11028094245762332275225364962905938096659249161369092798505554939952525894293,
|
||||||
|
19187314764836593118404597958543112407224947638377479622725713735224279297009,
|
||||||
|
17047263688548829001253658727764731047114098556534482052135734487985276987385,
|
||||||
|
19914849528178967155534624144358541535306360577227460456855821557421213606310,
|
||||||
|
2929658084700714257515872921366736697080475676508114973627124569375444665664,
|
||||||
|
15092262360719700162343163278648422751610766427236295023221516498310468956361,
|
||||||
|
21578580340755653236050830649990190843552802306886938815497471545814130084980,
|
||||||
|
1258781501221760320019859066036073675029057285507345332959539295621677296991,
|
||||||
|
3819598418157732134449049289585680301176983019643974929528867686268702720163,
|
||||||
|
8653175945487997845203439345797943132543211416447757110963967501177317426221,
|
||||||
|
6614652990340435611114076169697104582524566019034036680161902142028967568142,
|
||||||
|
19212515502973904821995111796203064175854996071497099383090983975618035391558,
|
||||||
|
18664315914479294273286016871365663486061896605232511201418576829062292269769,
|
||||||
|
11498264615058604317482574216318586415670903094838791165247179252175768794889,
|
||||||
|
10814026414212439999107945133852431304483604215416531759535467355316227331774,
|
||||||
|
17566185590731088197064706533119299946752127014428399631467913813769853431107,
|
||||||
|
14016139747289624978792446847000951708158212463304817001882956166752906714332,
|
||||||
|
8242601581342441750402731523736202888792436665415852106196418942315563860366,
|
||||||
|
9244680976345080074252591214216060854998619670381671198295645618515047080988,
|
||||||
|
12216779172735125538689875667307129262237123728082657485828359100719208190116,
|
||||||
|
10702811721859145441471328511968332847175733707711670171718794132331147396634,
|
||||||
|
6479667912792222539919362076122453947926362746906450079329453150607427372979,
|
||||||
|
15117544653571553820496948522381772148324367479772362833334593000535648316185,
|
||||||
|
6842203153996907264167856337497139692895299874139131328642472698663046726780,
|
||||||
|
12732823292801537626009139514048596316076834307941224506504666470961250728055,
|
||||||
|
6936272626871035740815028148058841877090860312517423346335878088297448888663,
|
||||||
|
17297554111853491139852678417579991271009602631577069694853813331124433680030,
|
||||||
|
16641596134749940573104316021365063031319260205559553673368334842484345864859,
|
||||||
|
7400481189785154329569470986896455371037813715804007747228648863919991399081,
|
||||||
|
2273205422216987330510475127669563545720586464429614439716564154166712854048,
|
||||||
|
15162538063742142685306302282127534305212832649282186184583465569986719234456,
|
||||||
|
5628039096440332922248578319648483863204530861778160259559031331287721255522,
|
||||||
|
16085392195894691829567913404182676871326863890140775376809129785155092531260,
|
||||||
|
14227467863135365427954093998621993651369686288941275436795622973781503444257,
|
||||||
|
18224457394066545825553407391290108485121649197258948320896164404518684305122,
|
||||||
|
274945154732293792784580363548970818611304339008964723447672490026510689427,
|
||||||
|
11050822248291117548220126630860474473945266276626263036056336623671308219529,
|
||||||
|
2119542016932434047340813757208803962484943912710204325088879681995922344971,
|
||||||
|
0
|
||||||
|
];
|
||||||
|
|
||||||
|
def main(field xL_in, field xR_in, field k) -> field[2] {
|
||||||
|
field[R] mut t2 = [0; R];
|
||||||
|
field[R] mut t4 = [0; R];
|
||||||
|
field[R] mut xL = [0; R];
|
||||||
|
field[R] mut xR = [0; R];
|
||||||
|
|
||||||
|
field mut t = 0;
|
||||||
|
field mut c = 0;
|
||||||
|
|
||||||
|
for u32 i in 0..R {
|
||||||
|
u32 j = i == 0 ? 0 : i - 1;
|
||||||
|
|
||||||
|
c = IV[i];
|
||||||
|
t = i == 0 ? k + xL_in : k + xL[j] + c;
|
||||||
|
|
||||||
|
t2[i] = t * t;
|
||||||
|
t4[i] = t2[i] * t2[i];
|
||||||
|
|
||||||
|
xL[i] = i < R - 1 ? (i == 0 ? xR_in + t4[i] * t : xR[j] + t4[i] * t) : xL[j];
|
||||||
|
xR[i] = i < R - 1 ? (i == 0 ? xL_in : xL[j]) : xR[j] + t4[i] * t;
|
||||||
|
}
|
||||||
|
|
||||||
|
return [xL[R - 1], xR[R - 1]];
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,20 @@
|
||||||
|
import "./mimcFeistel" as MiMCFeistel;
|
||||||
|
|
||||||
|
def main<nInputs, nOutputs>(field[nInputs] ins, field k) -> field[nOutputs] {
|
||||||
|
field[nInputs + nOutputs - 1][2] mut S = [[0; 2]; nInputs + nOutputs - 1];
|
||||||
|
field[nOutputs] mut outs = [0; nOutputs];
|
||||||
|
|
||||||
|
for u32 i in 0..nInputs {
|
||||||
|
u32 j = i == 0 ? 0 : i - 1;
|
||||||
|
S[i] = i == 0 ? MiMCFeistel(ins[0], 0, k) : MiMCFeistel(S[j][0] + ins[i], S[j][1], k);
|
||||||
|
}
|
||||||
|
|
||||||
|
outs[0] = S[nInputs - 1][0];
|
||||||
|
|
||||||
|
for u32 i in 0..(nOutputs - 1) {
|
||||||
|
S[nInputs + i] = MiMCFeistel(S[nInputs + i - 1][0], S[nInputs + i - 1][1], k);
|
||||||
|
outs[i + 1] = S[nInputs + i][0];
|
||||||
|
}
|
||||||
|
|
||||||
|
return outs;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,36 @@
|
||||||
|
import "./512bitBool.zok" as pedersen;
|
||||||
|
import "utils/casts/u32_to_bits" as to_bits;
|
||||||
|
import "utils/casts/u32_from_bits" as from_bits;
|
||||||
|
|
||||||
|
def main(u32[16] inputs) -> u32[8] {
|
||||||
|
bool[512] e = [
|
||||||
|
...to_bits(inputs[0]),
|
||||||
|
...to_bits(inputs[1]),
|
||||||
|
...to_bits(inputs[2]),
|
||||||
|
...to_bits(inputs[3]),
|
||||||
|
...to_bits(inputs[4]),
|
||||||
|
...to_bits(inputs[5]),
|
||||||
|
...to_bits(inputs[6]),
|
||||||
|
...to_bits(inputs[7]),
|
||||||
|
...to_bits(inputs[8]),
|
||||||
|
...to_bits(inputs[9]),
|
||||||
|
...to_bits(inputs[10]),
|
||||||
|
...to_bits(inputs[11]),
|
||||||
|
...to_bits(inputs[12]),
|
||||||
|
...to_bits(inputs[13]),
|
||||||
|
...to_bits(inputs[14]),
|
||||||
|
...to_bits(inputs[15])
|
||||||
|
];
|
||||||
|
|
||||||
|
bool[256] aC = pedersen(e);
|
||||||
|
return [
|
||||||
|
from_bits(aC[0..32]),
|
||||||
|
from_bits(aC[32..64]),
|
||||||
|
from_bits(aC[64..96]),
|
||||||
|
from_bits(aC[96..128]),
|
||||||
|
from_bits(aC[128..160]),
|
||||||
|
from_bits(aC[160..192]),
|
||||||
|
from_bits(aC[192..224]),
|
||||||
|
from_bits(aC[224..256])
|
||||||
|
];
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,714 @@
|
||||||
|
import "utils/multiplexer/lookup3bitSigned" as sel3s;
|
||||||
|
import "utils/multiplexer/lookup2bit" as sel2;
|
||||||
|
import "ecc/edwardsAdd" as add;
|
||||||
|
import "ecc/edwardsCompress" as edwardsCompress;
|
||||||
|
from "ecc/babyjubjubParams" import BABYJUBJUB_PARAMS;
|
||||||
|
|
||||||
|
// Code to export generators used in this example:
|
||||||
|
// import bitstring
|
||||||
|
// from zokrates_pycrypto.gadgets.pedersenHasher import PedersenHasher
|
||||||
|
// import numpy as np
|
||||||
|
|
||||||
|
// #%%
|
||||||
|
// entropy = np.random.bytes(64)
|
||||||
|
// hasher = PedersenHasher("test")
|
||||||
|
// hasher.hash_bytes(entropy)
|
||||||
|
// print(hasher.dsl_code)
|
||||||
|
|
||||||
|
def main(bool[512] inputs) -> bool[256] {
|
||||||
|
bool[513] e = [
|
||||||
|
...inputs,
|
||||||
|
false
|
||||||
|
];
|
||||||
|
|
||||||
|
field[2] mut a = BABYJUBJUB_PARAMS.INFINITY; // Infinity
|
||||||
|
field mut cx = 0;
|
||||||
|
field mut cy = 0;
|
||||||
|
|
||||||
|
// Round 0
|
||||||
|
cx = sel3s([e[0], e[1], e[2]], [13418723823902222986275588345615650707197303761863176429873001977640541977977, 8366451672790208592553809639953117385619257483837439526516290319251622927412, 1785026334726838136757054176272745265857971873904476677125553010508875025629, 15763987975760561753692294837740043971877392788040801334205375164715487005236]);
|
||||||
|
cy = sel2([e[0], e[1]], [15255921313433251341520743036334816584226787412845488772781699434149539664639, 10916775373885716961512013142444429405184550001421868906213743991404593770484, 18533662942827602783563125901366807026309605479742251601915445402562880550265, 12754584346112149619040942896930712185968371085994381911052593922432846916845]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 1
|
||||||
|
cx = sel3s([e[3], e[4], e[5]], [10096735692467598736728394557736034054031417419721869067082824451240861468728, 6979151010236415881632946866847657030447196774231162748523315765559549846746, 12137947022495312670974525048647679757468392619153927921382150023166867027471, 10624360821702266736197468438435445939719745367234393212061381062942588576905]);
|
||||||
|
cy = sel2([e[3], e[4]], [16704592219657141368520262522286248296157931669321735564513068002743507745908, 11518684165372839249156788740134693928233608013641661856685773776747280808438, 21502372109496595498116676984635248026663470429940273577484250291841812814697, 17522620677401472201433112250371604936150385414760411280739362011041111141253]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 2
|
||||||
|
cx = sel3s([e[6], e[7], e[8]], [13312232735691933658355691628172862856002099081831058080743469900077389848112, 19327977014594608605244544461851908604127577374373936700152837514516831827340, 5965720943494263185596399776343244990255258211404706922145440547143467603204, 11103963817151340664968920805661885925719434417460707046799768750046118166436]);
|
||||||
|
cy = sel2([e[6], e[7]], [13997829888819279202328839701908695991998552542771378089573544166678617234314, 13691878221338656794058835175667599549759724338245021721239544263931121101102, 706995887987748628352958611569702130644716818339521451078302067359882016752, 15519367213943391783104357888987456282196269996908068205680088855765566529720]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 3
|
||||||
|
cx = sel3s([e[9], e[10], e[11]], [3514614172108804338031132171140068954832144631243755202685348634084887116595, 21412073555057635706619028382831866089835908408883521913045888015461883281372, 471607086653490738521346129178778785664646799897580486044670851346383461743, 10847495464297569158944970563387929708762967645792327184202073895773051681481]);
|
||||||
|
cy = sel2([e[9], e[10]], [15464894923367337880246198022819299804461472054752016232660084768002214822896, 12567819427817222147810760128898363854788230435988968217407844445582977743495, 12262870457786134457367539925912446664295463121045105711733382320777142547504, 18045012503832343228779780686530560760323693867512598336456499973983304678718]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 4
|
||||||
|
cx = sel3s([e[12], e[13], e[14]], [15118628380960917951049569119912548662747322287644759811263888312919249703276, 16598886614963769408191675395388471256601718506085533073063821434952573740600, 18985834203956331009360396769407075613873303527461874103999130837255502328872, 4433382535573345454766736182894234755024333432764634149565968221321851794725]);
|
||||||
|
cy = sel2([e[12], e[13]], [20910093482714196883913434341954530700836700132902516503233669201436063149009, 1519565901492557479831267649363202289903292383838537677400586534724780525304, 10041416515147137792479948105907931790389702515927709045015890740481960188846, 14765380703378616132649352585549040264662795611639979047816682374423451525367]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 5
|
||||||
|
cx = sel3s([e[15], e[16], e[17]], [12047448614322625640496087488290723061283996543855169192549742347740217312911, 4511402808301687111378591744698422835937202088514472343139677982999770140261, 12163443309105839408816984443621255269615222157093914420088948521258519452383, 3481629181674207202258216324378273648482838926623855453371874690866818821960]);
|
||||||
|
cy = sel2([e[15], e[16]], [16179347143471683729835238045770641754106645772730542840306059882771262928390, 1330606780692172668576026668607748751348574609524694619904517828208139587545, 21047796364446011793075955655871569603152857270194799075248022968227548164989, 19676582441619193608410544431560207171545714550092005317667230665261246116642]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 6
|
||||||
|
cx = sel3s([e[18], e[19], e[20]], [12701245173613054114260668542643518710151543759808175831262148773821226772548, 18376560769194320940844431278184909327980744436343482850507604422674089850707, 2108750731998522594975480214785919514173920126687735114472940765769183959289, 8345688345972355310911106597696772464487464098975129504776508629148304380440]);
|
||||||
|
cy = sel2([e[18], e[19]], [6893882093554801220855651573375911275440312424798351852776449414399981870319, 10206179889544308860397247082680802082921236707029342452958684549094240474070, 20690576727949006946449925807058663187909753260538825130322359335830578756980, 934097825986417774187883244964416516816295235495828890679674782707274540176]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 7
|
||||||
|
cx = sel3s([e[21], e[22], e[23]], [2944698428855471170284815781705687753367479016293091716206788980482046638948, 13677149007138113141214051970478824544363893133343069459792025336510743485579, 8778584537362078914166751980528033062427878768812683022653464796527206882567, 14187573305341020255138644844606451353103636392771375201751096173736574567883]);
|
||||||
|
cy = sel2([e[21], e[22]], [17360101552805013843890050881314712134389035043192466182420273655548320239406, 15585069751456986750767880753875189652981026069625633386060310449606941883984, 14103016602951516262329001181468262879087099584460171406752641724802127444882, 20246884593862204796710227582734862797721958090111806492549002716706329529389]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 8
|
||||||
|
cx = sel3s([e[24], e[25], e[26]], [14561966822440683665541629338358038450751192033904756806839710397580365916408, 9033289676904424897161301113716021195450524279682799709206671901182123388512, 3130553029765252517071677341132737863162584406047933071036994763690628383497, 478748220028687672909774713203680223481010996519205842697362525656305870550]);
|
||||||
|
cy = sel2([e[24], e[25]], [2103279357051120614300268561700949519576521616178686690761693996681299230890, 20408096719725376095564479959189425244640061563902110565713028117867143533071, 10602190247054189080928144476332888853804880952034975460420247853133904008108, 8904086690633759655814572723164827369823592560037992353159979088242240507753]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 9
|
||||||
|
cx = sel3s([e[27], e[28], e[29]], [6226499033652114521979121779728984801913588832404495199289210905837818402723, 8038917508002636084872059181598756897599119789741848736002584943229165162988, 2277325821476302201179031013369476744187798789480148846137091219460796268467, 967514222774662330369300003456258491278184516505205753272628639669418183698]);
|
||||||
|
cy = sel2([e[27], e[28]], [7443974969385276473096219793909172323973358085935860096061435962537700448286, 16080381380787087259419052592465179031841607813350912826860291224363330298665, 7197183980134554514649915487783920553359271769991651108349414168397349372685, 15259375744392791676426881929656094304768076565231411137199656518314416373020]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 10
|
||||||
|
cx = sel3s([e[30], e[31], e[32]], [7079401365241105225661961622760419818013463250349580158302569256283647306129, 14357098412862251375028337875874646262567035230486208703024315026944432279497, 12132744267560027693690759266151433597852816079588628241106105645480008053825, 16149669420758195925157542983134397690644755714433681232247094526660232442631]);
|
||||||
|
cy = sel2([e[30], e[31]], [11050535702333135359874644130653446287886435768224627066379760227644857448025, 2102777351898195104147031754958199443749204333224032175429214522075012926330, 4445288497276728579279429434033072747592184765171167503126978668105350002482, 2895400734738526057690008272958539309751728639263619269043890651038357187575]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 11
|
||||||
|
cx = sel3s([e[33], e[34], e[35]], [20192636532359225751119979205906307972955330178954709766736232115035084682472, 804195338747219623697418198937917828717652612397835452095971237574002648345, 6394431494852440399081028203192653448308162012036135765292083934292810191518, 11939476767684237945975176292664687849983867031644620074465117021204214089848]);
|
||||||
|
cy = sel2([e[33], e[34]], [17748517956264309916268005941322895780280007418421226047127160997826331847601, 19497513174101598882802026674952900838989414265369078336475842766531805130216, 5620469644231252504463650386222007834239202862082473485080174711171599148975, 5516661986429427386078472422851029350005420782971768428739820651749444868271]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 12
|
||||||
|
cx = sel3s([e[36], e[37], e[38]], [1324920405111324350836746707883938204858273081019435873511569172015916187999, 15384225309297147198449617653578330654472159141743407174794062987091000857662, 9920404264935487368096005007182799973436766546149561065368669780566156587060, 15254057056535397961799214335179813200885132815863068943475012547021698517077]);
|
||||||
|
cy = sel2([e[36], e[37]], [16984705452766649815073644511059333480190120433850502120324063182300137456908, 18046160220855048074367913256918233739227589113215101142291000275961918974523, 13094718066881673586455686749880972268909309391825129019088029831712146780775, 17556146601257932451584708078305104848786797650062537873707738860847250565143]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 13
|
||||||
|
cx = sel3s([e[39], e[40], e[41]], [10184781845128697471817965179509651550812478664395958690225791623061609959495, 5456125639262884825452992858423500073570690895733609235845616173174729575569, 2442835875584110487966438996784695688123609547017380844898154175948468234967, 1507509649954376860384651590722437356078107662975164713418836301939281575419]);
|
||||||
|
cy = sel2([e[39], e[40]], [12481681651435870984379558646813686612408709833154117210578901875084149402369, 11152008367598826226940260746556525580820232821082556208512958435351250898503, 7567915483885326926315083960846242855523572023844618551872662303018722806760, 20394803059296859730298132333424950360853695629226621934657959417500478188961]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 14
|
||||||
|
cx = sel3s([e[42], e[43], e[44]], [10680962982327504072121608021689834159178144997131600234373184928312768469752, 2399077467035346531560164705357209055497431901223015425246039711757880798964, 3423125451159866822107483111524543716819043967842944968651561023348340629866, 9942880027482137313328709914157120920632734642771778240985776643385937071731]);
|
||||||
|
cy = sel2([e[42], e[43]], [4698845013673361363032641974440465619959991809676353365742268606915462346702, 16130578759626193985851427947711894136403468334125608062505774040115700327331, 15972516792261738383725187984065495328469263202118598475958253769706945995080, 7601042727654430423755752301100987459144576573414967660631298823059519301944]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 15
|
||||||
|
cx = sel3s([e[45], e[46], e[47]], [559099661340368706731458173062937049444139592208939239637572972395409815235, 1445905511768661496314996877214005625534188630127375321650145036638654136508, 12558069540132067621925302006222579198925455408763618011362743955646129467625, 19809789628385980249290251944250230372682953514057413790020001670501854917090]);
|
||||||
|
cy = sel2([e[45], e[46]], [10744092763718531253355077100374662669098109929848484460119044326894952631009, 3973362040829593578154878010051739631231888449967620092704468180671355813892, 1362015208311760378785201188340495520529554642363760051915563618841646945115, 11588368620504227678083366267185871581602064602621931713732756924598104334083]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 16
|
||||||
|
cx = sel3s([e[48], e[49], e[50]], [1678013963086824122518234712588270403106471527976328603364788331772512526348, 19217446816753374280163957047166499363370322773252755452762764797217084855190, 18251775792701212313037978569776264038974809413837373677702565241405411946778, 7791054681559787609111187809686247485256130898718509173169053332755413410611]);
|
||||||
|
cy = sel2([e[48], e[49]], [2187428842929094383038114367392650175780437811274194322303902357941058607339, 8626132368431980635626323475901790012728207722636477570331410763937692048466, 113795593186630447648084123083495614901087109757474270136294009546464903517, 3911253907085777766524239918145094862050185692851156691146764655435644911738]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 17
|
||||||
|
cx = sel3s([e[51], e[52], e[53]], [12873968423948310899392467568104977730716801401622261861937368089215309803500, 12347009456329688755313379291270351313162786795095345538842244121034639964166, 1453033777281838070082852447488517173632198407446735454517038916605079634444, 11282290315868048695472900994602235661536258445850718305682561140328404797725]);
|
||||||
|
cy = sel2([e[51], e[52]], [8139007031385157566567411468459940290231498857090568363629902873306461631248, 9142412231629797319569179103935970351107774720462787670615972830568683805984, 12672100925996181868477785977558380430714799944709260345359951721012123501095, 16494953398584179618210238266126209360371451946684386111530845235540890038134]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 18
|
||||||
|
cx = sel3s([e[54], e[55], e[56]], [7778254495039611795685039895928787457435875136389165268120013630439201169232, 18978376692784498976711790251498129273567483356717340918869164950830208175147, 6786343960634025784864145941287160961224170404722122001422161703472545445301, 963142484718869013546386102939529863406065949253846087785240390647819147126]);
|
||||||
|
cy = sel2([e[54], e[55]], [7284679595773642123118330714484999203099307921555787993734753019057231440983, 11863181578147413903879545253723831525079414688349285572164796614141056912840, 14506820856835670503131551890617399661938603609062325089041733284980790009293, 4347670008275218338032617206784753933320201662996772040726919225863771514568]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 19
|
||||||
|
cx = sel3s([e[57], e[58], e[59]], [3630756302007400417952089805331380555952289748859891438940570770932527475452, 4733072488758626584177720052077496914661792393101658203493985364120366268281, 4526910185101338883574479225992287789853409001566403159278561225375682298543, 4955992755917650287600423903671744997417781344631255784951922382765227784141]);
|
||||||
|
cy = sel2([e[57], e[58]], [16596280733402230599955345374089507399680037832193751466748596443674569931646, 6390381659733151443695336725554471564240651107616043093647301732553182081233, 17125093365984505488419430885232358010204128822674623886572872558984812477756, 7907776458440631594337279500574606181494889317898652109149850067084027888619]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 20
|
||||||
|
cx = sel3s([e[60], e[61], e[62]], [13428507160783248146944378848829437095621758280249270905793449036777555016842, 10292076501843933688687976934900220205880058108224904881677407523508189156342, 766857404192368568735095124452313950539381046754211726072981073742394879383, 19929977262929097751573344897093024390473135465066154321364399543253519251540]);
|
||||||
|
cy = sel2([e[60], e[61]], [16698341695430068847582701171147088836738454320587148532489385958997389524692, 15892936434362954902510964691481568586089663041057258511149661842770672240332, 7940515703899915602011570921990242082041971424425808524102519499134803569591, 6891504197906111172381550323513759741804319972496414093225387272302697012664]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 21
|
||||||
|
cx = sel3s([e[63], e[64], e[65]], [9001788585918405588944162583417858847457169702891113291878897002187678929577, 6471893763677472946002018028525448192731896031469219164732421705849786414080, 6872696243264239672878286181725922526028148800020555100207514569826971690256, 6457059076269833003010871598305386357557482703463879737255688784535353986402]);
|
||||||
|
cy = sel2([e[63], e[64]], [2208441895306047741608356002988212098270630744976300198681224594148576837458, 18524825154497781981405149991295652940946623352876024366965123296382603920630, 4474085805150211658090190066955902897001661633303260299025041221776891523378, 7848328793479881488968680696062292137496770320699466501151951135248413225123]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 22
|
||||||
|
cx = sel3s([e[66], e[67], e[68]], [9370960127159127445266474449258070389736162441470427007490084241211557822341, 14965609177224099035387154934147530900281499783229343066828915253839198476726, 10228455969106022490302521106014422994204231909208186519000062372321621002715, 329501376630941941063220737355314017862421104304435198239389326959464907258]);
|
||||||
|
cy = sel2([e[66], e[67]], [10405035931558887078762806053185283924863039263200495982754625705264574757491, 15502133231749593338314160389347860966662224717441686478526316588882854824409, 16159781620881884595657183508560936205420303661972673108699575582908291222745, 11627201183429653135859532750162240837549070563304757137644487859075461689878]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 23
|
||||||
|
cx = sel3s([e[69], e[70], e[71]], [9435538689621391149659891449161022313817917158768482063316123517911261629051, 20034929826130067090642639519998781717754864739607562909796887703087596572733, 2387945787036487514595261230908460627602020385539203589000341684029816345462, 14287010417915184144199881651073103018750205011354171060170509879133644433324]);
|
||||||
|
cy = sel2([e[69], e[70]], [3766822724536031967241092846229703633913210151222385593884505545907921188272, 15647190524611689022349999926088308537492889236313676989549224633916679679521, 12082040904926878889054967598271733538467180307938292871588544645957948546982, 18694076414086475523793644660947803814318698157437774233969783951279622080580]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 24
|
||||||
|
cx = sel3s([e[72], e[73], e[74]], [5859172856191457066677368896012140820864205253768332100482413148381377691822, 4109040705512320821322629424016219907769924434419769556997996401827477205364, 20898133598840700569835017147086534068242670333567622549169818027799138688520, 2562111968303466794360830608662119102867266861457203102917042145665851057610]);
|
||||||
|
cy = sel2([e[72], e[73]], [4836009713585714465496581912154882382453931120914721557804515434755336832208, 15143499611233432306382398214139440479742818510304232326049564749513747791130, 19356118393311375462052662305789820240618686111711161337705029468367145040988, 5688481852857742015073912476996667522213010914545901826896160233670889226775]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 25
|
||||||
|
cx = sel3s([e[75], e[76], e[77]], [4623242138639627730014370601705308411725596532862597538813607327046410321312, 20015154717710755506154819006635497782515667453025611627915382742560093423171, 3514612823502534944140986983282927838609295377065173960376131742886885892219, 20191997625806343264590099369325683216271615998169853765554784065039674586670]);
|
||||||
|
cy = sel2([e[75], e[76]], [6538526769564699401600543915225940144078494544354769810309083421131300518775, 9118555176257537603156148628736012723504563452923782011591078402032233615522, 12815558970989336318868652718709831589595442899079588636818966291960853991023, 7703616604462929360855592091876031952747180200478430464323567906544600168109]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 26
|
||||||
|
cx = sel3s([e[78], e[79], e[80]], [7426207409769264985012540642921370782277366662985635838803842004294008785185, 5999778250617485918891782298009709493035045140093544961901833503446031905913, 14130927440165985043471103750344848991689715792245153118451423398655300689873, 3796482870456559450471870663226834834712024906775762338643689176551263991246]);
|
||||||
|
cy = sel2([e[78], e[79]], [16458635168452867431186476181702908205218256620571557119181621733008943007186, 2408736441388526903801723805189252326923776373802231905332653169285504488507, 4539189593448662319023898529532785456602052593687554864880479361284144700884, 6490484418842862735983085938727562049587933870197049726191839108647357897041]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 27
|
||||||
|
cx = sel3s([e[81], e[82], e[83]], [9274793422641213328277630692090429447322754602554792362167389139799628719939, 18213562677024477140777501284013103092531757860081519011108723177266099803615, 5928914343334640962747136863911294731157726634392529232872962806197144988571, 17364692793332784962323580622297080260599290963212510860189969183095513710617]);
|
||||||
|
cy = sel2([e[81], e[82]], [2125001664000799929029867649528637137680130729147235858348667725168119291610, 15787194912569598784093233335743719308944830093009287397433562464152875584662, 17778173794489364127449950674919162836220066518510591114146982109869842663244, 18328553264273479562530008673792097214292102347103296244385349755449098608225]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 28
|
||||||
|
cx = sel3s([e[84], e[85], e[86]], [13710259114758767844337497139752382122951774216678047790125818858626546865590, 3343610505090632166881693615831990684789904804852523835888323130512752436557, 11550335352408668215051239093872906070657140182660747433535878335227749182418, 21793892863650948729507322696305982607072336532791041097212359516991274087980]);
|
||||||
|
cy = sel2([e[84], e[85]], [11846136982947366289908137269088548542970460276305965388699657623060915691485, 14439612735106182034303100596819001121085745615069593580210956482903072588413, 11243378354558219750264654469308879862376787156599458648274627817471028307109, 1416613801077957126034351583571856403044235139983509507026555602579721659100]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 29
|
||||||
|
cx = sel3s([e[87], e[88], e[89]], [16898533007964698268976570330413504736326631860509774315700399063143612293661, 19762411747110048388233897239023416141949331694011759548598869652948167421240, 11749964437081939283728905999710450041654325285452589389081577137553602604162, 16314155164640857713960417655857498051596153632474886680423284957133775223285]);
|
||||||
|
cy = sel2([e[87], e[88]], [19301014021919583977567348438857464752913991729661145830439339193394619822674, 4081042960569737826610743202667127127506276066439423960421657857551695871422, 14520831020919654323745478654766278220911435521609622705053803095115677276928, 10347543397607839527923790122253286529883327940351684415635401368115385858121]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 30
|
||||||
|
cx = sel3s([e[90], e[91], e[92]], [184222443282411811008485293978090987184574946550463281113036487016967683795, 4323925196392247451702039714921386345420807454721539995370304513020371659426, 2346825777983317939724845287942565740027799801885272779028341294742495881964, 3497425097320782814346947506403058330145264032565372769682636446824270312453]);
|
||||||
|
cy = sel2([e[90], e[91]], [13850322095814274715426304026104710047724256505475254494587134658322670671529, 11511819464672461161880080290029237185728360968222698390620899743097045452336, 8068296678016129536739401811575622149523917897086227154769231758295218255268, 10263809994502353117991909442849926729413925087877766198113026233378613424956]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 31
|
||||||
|
cx = sel3s([e[93], e[94], e[95]], [8995760760295995916308082490351740974639094331313720900267671545759667549796, 11019493928623991376174717464416885911906134873939034428175124701672655752839, 14017581177532816290320938368540191606560126820406006677979240977503063555845, 5992767544073504039822155308781253229334004182511050716159238341577147193720]);
|
||||||
|
cy = sel2([e[93], e[94]], [19514976680591593876219573359164805119998241765130948583982557052811782267484, 16839145730766072636625126513480100227916490562760284965681235183731245254947, 1021292692554672699619028273609664837317397089685876358558294458673381089032, 19705834660126914988160966717581159186486910721909298688364547098333399879621]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 32
|
||||||
|
cx = sel3s([e[96], e[97], e[98]], [2527638437523893015660301196665088766965588386392795314680197258969354623363, 1138471124880305373267488994599338604626881130398552196301155187554578496993, 18796280357765998280755689911684961342287093510307513491082157499389652187596, 17845424627755166990290252831103404879406229534320972756944316138691932923261]);
|
||||||
|
cy = sel2([e[96], e[97]], [19210721144465266426749734142673856566947869352583355496554030705736452071361, 14313930380744847001650971451811594041740544882894516063775993860263195402168, 21025107892840987725102949502655791789935181032924916608477285415225533245973, 3555509537083802658278452964512402851284368794121767087246797342866139363946]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 33
|
||||||
|
cx = sel3s([e[99], e[100], e[101]], [15846792621646742652974245065938230651829248095884295067743275618391603947137, 252268672903219503110064676037004166486655891926695090023400798499584132445, 19530459807361347014390846162868811023755147873522489974990781147946076957319, 6779173153401014221878658847395058091689669042378445736327791547741105926579]);
|
||||||
|
cy = sel2([e[99], e[100]], [13124560942345768357314581178595700674622208923899518932907915338485045148127, 19427900801187548763760894641856199686412861734645157290016060446141874396762, 10578265528433465376709803300626505953445780532420709942597293441366167803051, 2814357683688249343045032287308948679662030207205739212100871663137250686972]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 34
|
||||||
|
cx = sel3s([e[102], e[103], e[104]], [9161164860624082016500689976633279187120278305601384250238486553068325633742, 3594465641083658357640727503005755820863340547313408576898849399984296404007, 19745546026637204577602881915206827000693868119693662890799396502208696901732, 18116250696909523241042661347132525872828324429923244627289119813508105665938]);
|
||||||
|
cy = sel2([e[102], e[103]], [13685063021736046635507535227140671955502404587270095297507854657927533098685, 21481850865118949667886934355577641333398731968912180643307092533138863580900, 4539145198976864585367021826448478029652078179409326031693175016758410731544, 17461973876416788164599136875394849349337761082750935487057356278682772411162]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 35
|
||||||
|
cx = sel3s([e[105], e[106], e[107]], [13763732875937305178862849318112327966371606623409616602363024527079535241003, 7146728911382113235576196126361394323865045988036623175328726379662117800087, 13957018179677684863250069220406779871369347949049594304698838627334319400324, 2983130106134530061974606593769911479536904265326576922594002168086009867582]);
|
||||||
|
cy = sel2([e[105], e[106]], [15902927258231569893737955890837667742457214947649307818302524420399149241212, 5394027336566373776896911094388660738090625577337970061356832815458464701108, 5175259754491075858870829756483758144360263281431531384832593797283930411109, 14151565798137996208654994826049340981954317623288904943712618832232605861595]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 36
|
||||||
|
cx = sel3s([e[108], e[109], e[110]], [3511208839914156996602850728297722115315702089624058744395068873552707949103, 17785314838779826411805999953134869098297432649970533754606824062794244465005, 19568380235187862245567915799143793188430865272594403468605211965296271194922, 8968217637384711708369798047935037549991275897411766158377778716106218907618]);
|
||||||
|
cy = sel2([e[108], e[109]], [9113093883676083424918242033136578270322417571556449454840754893578163802387, 15195400406105586498427391734410887774383134313041084245786188708846588107061, 10391623490262978616498794103188417653962360594423044385370483010810406454393, 262198447430650388196958319338915798147458757989176286529479967365139093614]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 37
|
||||||
|
cx = sel3s([e[111], e[112], e[113]], [11522295231047132260758343744179190547608150890072723735296048871441325064339, 6417300850099046536319790332124930285535196168151466782463281196540309297983, 19137291956859275825926699344301804549568562573423342909926469403211747707345, 2774443339156228722046927543564067034026765236710736809480294993459012359549]);
|
||||||
|
cy = sel2([e[111], e[112]], [10997633658189180813501132314065688584832302881630691645920837501861598079973, 11230602434226993956802641296087754248529927465162671110571036062223097035285, 62131588140380451567557177282839666875193860544849125919004473298285110712, 10450442472445392653150568721579575112681026302736591474982185692600259786523]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 38
|
||||||
|
cx = sel3s([e[114], e[115], e[116]], [13408931465122001423751414891302829165042502658140645208130973182525808774770, 12919550455861565687920656314018840423444710872112059576718885637461594199393, 8902156077182438987081535936092318477847851529427670854791439040325983142815, 10551142139308027026174282362670932774470751296642556552082094389923387853839]);
|
||||||
|
cy = sel2([e[114], e[115]], [9267742985382681478817853200119409918969418222977519894367804134923874406267, 19027179442258820884726400809066833518658247567670360715860243154343698445860, 18038603127894002689531978859178109088479567097675385814346786297731217235404, 14150146649091182389991766732798336665028567292472735778013325601175132243538]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 39
|
||||||
|
cx = sel3s([e[117], e[118], e[119]], [6540890698262697218677202035403667770177820101154223149908034301445959517274, 435497241504544923461214042595209510655313029058197261483355541334388444061, 12972419969438465538309509757262343703702203355603454637962110103300326018994, 6669959829681253734882192282716498450739929798663147573799606668374867628160]);
|
||||||
|
cy = sel2([e[117], e[118]], [2642034845320222085946302229307945658183260378358994660373441270519802248925, 14736341083198246245608013213787697485596965707560872888430876049025049794937, 4329454540840640926293454385395213780440355759242417354895666807552226740059, 13390807756542084619965526671660454489274096296730210772303889980314835989796]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 40
|
||||||
|
cx = sel3s([e[120], e[121], e[122]], [3375661072576892623715175468380800047905893262660913295358697027074087217513, 5069202507845220698620539676049456933089654255996130713693017872693588276345, 307360032529211257870367390878851528397463530836715039216723323169226021440, 98081915276387897864111573201930613825497393423677224354881280134376446888]);
|
||||||
|
cy = sel2([e[120], e[121]], [8987539541637688797931012030256009083390767313291834963652110291129797020941, 17901947618091300697708370389296420066544823878914604900411880276648078042269, 10639219577401234864823685175468874052621402569992677814844863434253512890795, 13240331547980137691596357784155019878384406802888737259354896076218619627328]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 41
|
||||||
|
cx = sel3s([e[123], e[124], e[125]], [9662184175454991631880218147488300829920024817382740712599708905755708816803, 17771020629416708231961523003444615645037663660747267683766850455503462282265, 14494133870721701214401742677540032810309496543890589653927595534007509078658, 16561168866198605810694591274909829276030780262733890202994760647724957996711]);
|
||||||
|
cy = sel2([e[123], e[124]], [16632142917625566129622048663670437511136716491293457317746859226945397089536, 18400270017828347077622860778898029123047396355399577145984944065126581795849, 8353334605287102455944569500604056116678191817084945684486328539838325378046, 12147075225903504606648888869906750158496142784038841529413244301117587609138]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 42
|
||||||
|
cx = sel3s([e[126], e[127], e[128]], [20252038718269174556829574777069549258100538764143309785207012647062643184902, 19438750079062162172414919070069193686275943617816957878302458952613247286975, 2739523700389893370248547110285910821118647890992955640060929464309561828074, 18986163209792052202203221314221453057559857704913672555327882100075093616752]);
|
||||||
|
cy = sel2([e[126], e[127]], [1949203652074521007058676904301415827566224382778317340432698169556879788463, 4017921177690528677848183821427142247358574441895228503258380087834359360501, 10532220115833479369586881444322308530349489476356817032718755221032796227335, 20767633640647488765234831415684490207979213320475813611233243261000228414020]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 43
|
||||||
|
cx = sel3s([e[129], e[130], e[131]], [13929197264592281054662634434397205757522163835293158725199610804948038924930, 18983630674546465400919161958500748450652609469567091049588112148279229509416, 21298720061922244441608259922072286340766498728629540286898859613690667559954, 1255771444824172694387038994365972934222854858110644765629654650968093841237]);
|
||||||
|
cy = sel2([e[129], e[130]], [20928589942441069163400310179733448745002695258624629275677130484867901611592, 20945151313192869288039616217247173168964585800167278953053768079971885757820, 13394130995265898710013904122336137332320804034657805114241934415456940879520, 8345380486550648681305351465341710151021284756322349929795845243989999089313]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 44
|
||||||
|
cx = sel3s([e[132], e[133], e[134]], [20820962511183569148336349677594457306122370638840390080208640481304634109972, 21271204223521868772910817161761075423625575552213963956907846089587689594662, 10733658208915381791180435538254458430504966830986768682084274021501716755708, 3213872100717631866873070659546947812880485326599459130685149408092349854866]);
|
||||||
|
cy = sel2([e[132], e[133]], [18802948623154501291575097526503171935564067914914679326677986205652424463305, 18671196065143385675890877955428696189287618414074487330442057564568301653630, 17500512499632911097527623128158674292347613137609268450560746154383855656852, 10140717739675826292242942694935483711727546989965783109636404988746901047250]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 45
|
||||||
|
cx = sel3s([e[135], e[136], e[137]], [14908874845345243542374913242177817956756346686642792660468745914078612972964, 6494892024924675012540500602558430897039227451488331729419886431227425262471, 19660118982815103063271284609401904064050204952733042875484811495633642263876, 10404140614423982473417062438060653585074743419249328530274575800693260655367]);
|
||||||
|
cy = sel2([e[135], e[136]], [5109688569541183345813508363367270401129385455666732942384933494548859595681, 6488452587861781859966899732568514074249818909310744177483425914897141192195, 19759144330570995637436877834773866770106917696169828968224667729682932948543, 19372158643071160860924236286390794017939077735118276297478085704446653404487]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 46
|
||||||
|
cx = sel3s([e[138], e[139], e[140]], [1154476465911192808082307928347900064111325728833428891094393674593800812900, 6647319020085089760145868568636007917712315513936955502164154733998378717177, 12584569464684026880899751873241162942166450853083376779447501714905643756083, 14243280142991602029691394563175478833697759877979687578140951697024930901167]);
|
||||||
|
cy = sel2([e[138], e[139]], [6461899930945412323497751736369894620103555271239754245787726192367462376648, 11218209351589240489615573530963044202098579836550413344228327749253510456169, 20533060824796367399322624999408451192171574545415433951669661225068106752784, 11799997625790604641690313275280372066913716290701708574743226300595877165728]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 47
|
||||||
|
cx = sel3s([e[141], e[142], e[143]], [3106120971963814637086817095821216892657807437909030172048489357608690908664, 19983788499223635315597700897580134177379185544458724791602486120287361195709, 20011311503290782295958825256275853340402122848359336349363185226433870439371, 17061518479999755720537296647402074631690029621158571296727706119729187756044]);
|
||||||
|
cy = sel2([e[141], e[142]], [11655780578227604806047758025034240629153798954712964172707380870816316797993, 622054523287271568164593718522127794491026889292924398674394690726823527200, 16135285950085594062254918487673085571627312978983012587993350339361155816604, 16823182833153464340537049615227906529068252572342151311965980898836651237386]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 48
|
||||||
|
cx = sel3s([e[144], e[145], e[146]], [20374356410965803131887119977813187747682102078262988894186807366145009893312, 16140790886679277390055909624981354111468382311692868339667095804914180995816, 5269708933005858910719244518715051229221686961187992215177561544872857207052, 17003669964193566226265890987693478032205879390270724431641892912757008513023]);
|
||||||
|
cy = sel2([e[144], e[145]], [15298182760377768633156209223343487909782393543670382286190369588693664098885, 15694313374278606393252570906724471325000910752891934797182427274800382725179, 20211423855194801900153066955584657931131527051780164510917465106404910099513, 15455288363376670716062020330944532534047008363514636685826622499678373390425]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 49
|
||||||
|
cx = sel3s([e[147], e[148], e[149]], [14165004713755765453589527153323887724160944086658242248604905215519807263185, 301131970962481505862420187551701457358785403147894839379498410579773149817, 20703780629190814394908582715811669803434202446164042946560257906844612159868, 12367443634404793487462362639029662097550355799821945744713867599113535990920]);
|
||||||
|
cy = sel2([e[147], e[148]], [20401715072789557220769413113920881979690352159560582443280493351937640089943, 9512744351810164617160144481900582699060463555523641782334998030336637339295, 19997026788203221539856525472799656962300551306251956395441891331721763269878, 4420107516401930587358239495168429945976230331917756712920657983670672632753]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 50
|
||||||
|
cx = sel3s([e[150], e[151], e[152]], [8103748105126096403620617531109165346111017883414253359146860083465308290054, 14803748343013980101691104453457628404765420707022107332787520877316491921572, 6553189032217952509828188229822974795796651131494012230703062173727191718256, 14488140647832162063035434131927730449663617866962750748399561354722976225897]);
|
||||||
|
cy = sel2([e[150], e[151]], [6900602880532330473224374524196761198151861405485326291615150754345009304151, 1513115647408875522957756488493462370777248725072062752756727843920832160085, 14896301840535712091808125164986771300932651268478608922083726618785610993431, 18048817115801653510192862998462822947761670069362294686696577131702147477504]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 51
|
||||||
|
cx = sel3s([e[153], e[154], e[155]], [382543238316875203894587902417533689378617036331411163099475938996384971274, 9619454944964330535387495829359535093743583319913348616872361595592109685167, 6081261874729821958303230238004699407225832699063899155741932401034312247576, 3156137884201329913786702605630625537320273632812696416791152392474314037759]);
|
||||||
|
cy = sel2([e[153], e[154]], [4793004393185972052681267640894832507973895495734257655931836941627180322533, 12524126851245821931846984936446041288760976334671736634358685272033969216980, 6277340058786227516467028124755004985063566609742747175031180490042372405740, 6981569030046806591634476164525159834865090256544287529201527685109358245562]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 52
|
||||||
|
cx = sel3s([e[156], e[157], e[158]], [7242980429824960501440666232145028986161691674990466362832703971174936796830, 8045674190780012690331364750465564303458553754280502177743436741257674712579, 11260599103741407968666669605286104777635431193927929500939820855376897097946, 18466264932289657017935069178634633780361979903681010210726608765753592098197]);
|
||||||
|
cy = sel2([e[156], e[157]], [2313823382391584526084833833122921512331314230217820828722208559851046887792, 10089801374498501989652677350203014944991951797848003015280234323125565001040, 17328843896403558624774477961071623822106890748911687259696765820336743222251, 9096128104648798569037169791537313868030583174665566146242611146033775655076]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 53
|
||||||
|
cx = sel3s([e[159], e[160], e[161]], [14129501557712467097681133312480956681237794589418881140932742431414452181802, 14215253979300894109266393937905007744674886266134853669970409340633353105422, 5101954416353969027375336730301151965881345391948426977373049227857281866232, 14576353231486654843487902119173617652532372118230138091256904812874365465828]);
|
||||||
|
cy = sel2([e[159], e[160]], [8967890713970048745032869372462848543847652746940083058618452105243173038725, 6265601060440963621915827684472693851147234848878380918293598569151688236174, 640827344679117882936589383352750227742240703205324868948399729377934123492, 9724475542168570127797711494687143027178927970205326782155651202256929792882]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 54
|
||||||
|
cx = sel3s([e[162], e[163], e[164]], [5456157947126010471455582105823966618048439614862840203794276433144936442303, 21043218890179638595653930578748044093798652379401035786184926212259053133276, 1927155268257451951778867733460386031395807546286255979317875653435797662494, 2742904689169248143495331827109449907113748836918731412006506067439664106654]);
|
||||||
|
cy = sel2([e[162], e[163]], [9440520397717291873292501513394144011971438675685104804031688857727475979708, 4417998885632129975756353073742958617120204855631898102096412742879398656621, 21718244289007192530526626848367390261419399428442075984244560471039861817138, 8877177915758141474927139565405950662745390581859900899551672907102924557478]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 55
|
||||||
|
cx = sel3s([e[165], e[166], e[167]], [14850732473677774396477975866215714018387310838284937771253941847508860390570, 15346251439912975799100173523179670100616030950715800206631108275859894555954, 9806744113621004413976521475016417033548532640900224199389230684453784278689, 21096603979133316753091339975348990230540836494614368335651248862844085270520]);
|
||||||
|
cy = sel2([e[165], e[166]], [11812452402407343928752680921354215607515699690942611270817873638995622443255, 6279013985783386608484242724725362666241553499782119548714289191679033556648, 19001277736410456807324578202368992701796359861619482537978016830870842626762, 14081519926521914451511625869848591232696520686473918498999632052868953710854]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 56
|
||||||
|
cx = sel3s([e[168], e[169], e[170]], [13157890071808158704354468737847471048810392369152727364639634059504126884874, 8008722424616547903294828680672771630855086822683412918399539174241338981774, 18594694810411494426945160098830123105355833500416479749049639533195702072502, 3003039638546974941710738006242011804553647552380262745534233703293489168909]);
|
||||||
|
cy = sel2([e[168], e[169]], [893279927671356626449601197530638356692800493991878277093322197544680454846, 13710236865890222581902901564951693313216932700203676104342205227571583021557, 11991140728188265308988894689292592177761583244141205754043533415013439187396, 7408159576060936012801497750876509797959683640624248586584358220473720101773]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 57
|
||||||
|
cx = sel3s([e[171], e[172], e[173]], [20379496501734200220097501155104742700678033944324898621914782326376426827694, 5628902661740155176800052287728775683561775403751721906542502141173662773805, 6649334930850298644282280075473454376493217119135753313843458230202317946465, 13953386616146853105384995231337773651826685901371822028427880819484312577968]);
|
||||||
|
cy = sel2([e[171], e[172]], [6312536910770269621417292581781438152243262819530627194840110225345012746549, 6128625960467547051042766267966540761259574034224991328868848127157477007514, 2178504154437332931470309748598630309367590073987406533802402874933913898875, 10049120191768569519993419401578117655266529530568527176008678950298967775522]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 58
|
||||||
|
cx = sel3s([e[174], e[175], e[176]], [14193197030749382932133736734505537242924559995077781886176225169837220402133, 2565010016572214675455233006763278152319972391059007175692722972374012019501, 20022269140157840221511080273245661956116845958170472382643581298431129105222, 15951592620529204477279907750991493798200861674998832536410750610279414881478]);
|
||||||
|
cy = sel2([e[174], e[175]], [10015961841973388881391587018151977950817576225746650865142918877894543270446, 10962609190943341745700082387389939598903593214578149618076217369020441344245, 10875728650787073188338824979727792178460025858689164586811311106195554874546, 8704250736813220528338393230481759654328677814076110220308209376595986509914]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 59
|
||||||
|
cx = sel3s([e[177], e[178], e[179]], [21185904177969045625821216347084191287459806531017721293624058180265336503811, 1250611256248923800378335492392268625608584743125298517147184362502718557754, 4732901842829850758626640836087921620095030893254064254821493648172485065995, 4686012912505407137434711885457531064310116778761775095814150050521297721079]);
|
||||||
|
cy = sel2([e[177], e[178]], [21681922300753515822840018285496181872470481450737464910861242457369823926925, 8250546098596619229605270054781796306579374634169772718113961166155976799791, 19064654253935902908485961089200674782438523882800790190859631804189001729500, 7893084863238812828005589178028293328994403260619345443806395973318698162130]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 60
|
||||||
|
cx = sel3s([e[180], e[181], e[182]], [14071560871369419892033259843192185467358801846474749773427241883409830032328, 9559459046618636497241065316366978002044190960713451216793292122894012900863, 13031319565545666906249801044337083380860313201803429372439840529717343742035, 20069400641162643493898109922008601219601618686364720341639616051841829074334]);
|
||||||
|
cy = sel2([e[180], e[181]], [8710777380190521326883551341251426052007249230093350101154473409247609882825, 10439377650670164179707163339178975058403688089785136107598148495986084488509, 20130072726000251358667317961033491205160472226244307309389477611437739154303, 17216059825244204015919013637129845877195519789582013765405196142334767977705]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 61
|
||||||
|
cx = sel3s([e[183], e[184], e[185]], [20777314589605673759170070653370407645867665889025835324139659856710113131826, 17380793433135473426803899659206730936771330488910864786997506181753180852018, 9135535394443552083655851762956576299400389583070951313661035134759057889658, 19259342468126216922767538099314197508403261200862162612026099962268769453780]);
|
||||||
|
cy = sel2([e[183], e[184]], [2644721599238941245572401477946144870669550581359063534170381908963477379532, 12369176861935895868206428376006904712013007036288222495431735574326142454609, 17367574625533031619575225680253098966157776114681359698904430545328078639283, 21794479452176520273231597892096817659539111123775968164861961429589103329517]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 62
|
||||||
|
cx = sel3s([e[186], e[187], e[188]], [11749872627669176692285695179399857264465143297451429569602068921530882657945, 31939593233430950996158270398727464286178387866161404769182205304632811436, 6016890150518491477122345305716423891405612103278736006824977752295838970965, 10857254852618093631105790010825256882158099527623146563961929227148379359444]);
|
||||||
|
cy = sel2([e[186], e[187]], [2495745987765795949478491016197984302943511277003077751830848242972604164102, 6997914616631605853238336322733192620418492595988404136191499921296408710465, 6173428954671571373132804754825927617043378457799815000168451967196664752847, 9007836187082518685036356739793187792845982511088020304887245789556567564055]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 63
|
||||||
|
cx = sel3s([e[189], e[190], e[191]], [5139361255050232661773452561726452928115803730344567411456642256556217045338, 18849283619433745348738480276785423370734769795033289874458118507070173353564, 8448578350964247311518616492977206693278225803594287158372550008714482924618, 9689086950770336907190180706142608582993499523814136266854852845122214734392]);
|
||||||
|
cy = sel2([e[189], e[190]], [14036051510959474100046039284978060652197630794277473374328558492372137493500, 16611708132761924749528167866816090876717761056993928787802780141779996313373, 830643686092782069152588625317289527987176650776268015346372712951408738404, 7124577892782407025863252010240336830171667706358033009166413008136074540762]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 64
|
||||||
|
cx = sel3s([e[192], e[193], e[194]], [7037199118537155369331275916815326054696699996573020862644806346516390510132, 15801832773874273151484928140234822912161499004629735400320792200594998558674, 20529919447890597649764739102616587236240564012012882223198985848792346137419, 15587579342628673804059001440002406839596944474602936992474297171186661645909]);
|
||||||
|
cy = sel2([e[192], e[193]], [13107688056462500445700480209995877016295689081542565992250464593152667593220, 2950999836230463387014662253708191376901146777669866592618407913815214817829, 4910645882425237270468350930391794068554002250789220952036477599584216368730, 3842197005807929553563656299566067039385580918555124491435963737335985608367]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 65
|
||||||
|
cx = sel3s([e[195], e[196], e[197]], [5946112335249256697077095359378565725733629742750694340878812663903909175901, 19030634249222736450152769682445487635301904450722490014396919999971262563725, 20272077332559936653726679368964023857291782018546895109417787179027229259529, 4325773325239231432990045180370600024086140077952119719002873860984820794777]);
|
||||||
|
cy = sel2([e[195], e[196]], [7559787099338642680034184654424868894988928943730034769673486129058256478240, 14955054800505659097184643689663447282484820948805633199847088945313706647256, 20527315092050743721874398127103128550881291654522271023332206474058940158292, 9254615232744118309709861811378827051213745889996697483998530345751148041402]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 66
|
||||||
|
cx = sel3s([e[198], e[199], e[200]], [41373522534463253583709483090344938032869463670116114182911184041610044395, 123058269904779894306385100149700584700988943576532400555257363214064615908, 2188259327903131136942811179577591848088244960706164332041753317001971084806, 5677272600001855408525885379297081872841669910685379249005421935936405438326]);
|
||||||
|
cy = sel2([e[198], e[199]], [1812970364913777725848745565574644898635129603904027984751613694625700239455, 6325479481133126048154398075474627535983053143312386360869927669212098083218, 13018920334214076613442336156617958094802950850259563883918734414290288034687, 11007863126994999194753256186448493793850907406765917922947224071691321773988]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 67
|
||||||
|
cx = sel3s([e[201], e[202], e[203]], [19366353265983664793480214800587120487923062015491759603977854723148315579274, 13009712389497066149642205706505053720391552889715847781477674095579012684216, 7540090586243428109828867879678893096981460680323209865296583411528024312326, 16312880719251887899651071843693753472207446322138586240016038563189666076704]);
|
||||||
|
cy = sel2([e[201], e[202]], [10425762558101863677692090103799691698591185440858290129753641015260969124568, 19889759528114345474077603906066211135049113446169104039752988610769598108616, 10189577411425365730046714422122931951193107064366232919940491025624263274830, 19402847860324611226251435664012558569374211845205502575728141649693622181131]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 68
|
||||||
|
cx = sel3s([e[204], e[205], e[206]], [15647575844595805283124278572298605369081553302159286302039104118434564547757, 11119588224460846619648329471078205852940427394545403397495758589586019867123, 11531502595396972280500527673404404955773795456604503116176223280757803701142, 8880302652736630728773712083983401143315564427649676162399333300472018402820]);
|
||||||
|
cy = sel2([e[204], e[205]], [18121989769429113110431033241130632527148185431169035091659247063715924437727, 20873727571773157361636727287434618496229040659202161464546752313173048350714, 20691117161323169072636575178583071560333787206766658873639451682743014282486, 8341316767034979343476640425183870254531797329971610276320314018660072501097]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 69
|
||||||
|
cx = sel3s([e[207], e[208], e[209]], [15099126396506559307312697471585164108461593918632286769972271267945539855806, 19719992822745709208744805037389314455441129806628318848823336999297717461102, 2498623947360180463813005839687911187525292314091943320262937967401409761873, 6773513521666107580427042608663114222160509705880285715315137855519926605076]);
|
||||||
|
cy = sel2([e[207], e[208]], [11185464183896587792324099270269738719144599552792757002841466742562118002961, 17962378754832909648632213279341274522205662106198070463591287770511029247082, 9572883626752796327156744085207279145562604122052196885537416403686418306743, 849739335033117039567862203783008236118271414428303942526044722712316390134]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 70
|
||||||
|
cx = sel3s([e[210], e[211], e[212]], [5586425841805464495367763159434170408121119147683098906675715851224959199555, 2275887592294698256371035540589451793263643729528648494997423042939590025265, 21623018362589173579186020601617142922337607155324626054728009524185014872882, 6470935377837087985284657580709150204914393986124872780110914178120147824883]);
|
||||||
|
cy = sel2([e[210], e[211]], [18977748529759410811480134751116373952642146764796083016667926272252310801539, 15415054474257926323577643558627142211566179025425425674112343915385225979379, 10178696720359974033063364767044087765079200964723755314869211737985682962880, 2751262919149939488788372835165540688204591943865442185170575019042791606144]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 71
|
||||||
|
cx = sel3s([e[213], e[214], e[215]], [8067396068830332270789178613335432253659758303711969642714931687060160381303, 8639011650360344590794984878540401640139910601923862912593792315052343319076, 11233915498048422123675368878285943174009257862418242010192825609765986035356, 14474288438243449444797392475230229280689019808482654245523987676777400402951]);
|
||||||
|
cy = sel2([e[213], e[214]], [1109389204114118726338211511183391561882818362713716952828416479757048480713, 20658495580821728113676289889282525822016081521980495256710356417074439523320, 5734616557338566574377893898300784804059511397655030429323489999855673254133, 7694030151585859685333610687574701561418848021817379115721565206849330185976]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 72
|
||||||
|
cx = sel3s([e[216], e[217], e[218]], [14694205333290671963708923368506587408024223912051732033761240288927263651380, 16846840700984603406007084554481852964137248522784508429412010549513323188912, 13176399412773372610094105377631574988462669519590170596472033646615482615262, 2687848140625094867763341291336975245615611233615607599401834736964978577349]);
|
||||||
|
cy = sel2([e[216], e[217]], [9656049051507081163863869851380474393220762381365090138663873299937439711626, 16257833452680722743254377629669121273261457821544261762335781528496650481193, 6465537052899418297534883094198381748729828452125250541158965933076691478294, 709697610986733714785106299677092114124154955937070541190663241187641683175]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 73
|
||||||
|
cx = sel3s([e[219], e[220], e[221]], [12368397247649882906953915991250714931614715588424094368585746160811998953306, 18782888042679815293214947449937714827609414183597755427793821090364126288476, 14980906670860851104998617553690749074165805207013703141953243482569349981523, 6579728809126224271038924161669519472291072114357057900231021883849035745958]);
|
||||||
|
cy = sel2([e[219], e[220]], [813793955589589118694666569995091571992486583635127942664119751723536369919, 7944299604444967298799338830762202580774561040186193713045849824532426689590, 10002642178009570948907228870686621440930898426698423035982221525801621370935, 8479337223317874954343670583381865510386888037444628897905418707487375421325]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 74
|
||||||
|
cx = sel3s([e[222], e[223], e[224]], [7187732531650016705045248947412886871494880941757180032721434029527647591174, 21429737681997573327768382790700665701419541321736653106996131182050077581533, 11836369351087123833634897021408898134248512107687639835461193259880629295891, 19132784475506243814038464623366364810380933540097619300595341694560215897043]);
|
||||||
|
cy = sel2([e[222], e[223]], [7505964932526905326140236282846132917485872002527800757209057356562826370965, 7446191000078603169082551991705097881255381261806164450828019975914186121730, 20501368217451607884813098738754813918145802982055856468691458112065708320700, 12111360534733555932929570216465933882611889545473508372687771008732927246750]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 75
|
||||||
|
cx = sel3s([e[225], e[226], e[227]], [11880592453253678945312808709337779570677968939895786745513483795196121148239, 15885465855717299709344092447684246292163545547216436459368792952573638150871, 15785265541005027154032372858808930773051366971093462129449868653918773012805, 18569197812514885943202170611076608358219751234067371040250790526837986392838]);
|
||||||
|
cy = sel2([e[225], e[226]], [19319714983097503154896952315362236888483358620825042533226116711980128027594, 16203396727641772481371087324762669694595077074099718953937599120235089562441, 8069072007055358551280258194912706575285364270109077890462380604843344248137, 14879918508369225877688675007526587407926006842700210091106836056129459129297]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 76
|
||||||
|
cx = sel3s([e[228], e[229], e[230]], [4665897628623235203637312232323957679483103295583092141578808282040205079719, 13624944208440724520944284383225072602905876122550187793344788447894380752405, 13240065107073736104958720757918020581159288509346627802839384665867212601652, 5404872141819776433203748684385984691445987755176034496638153799038857512389]);
|
||||||
|
cy = sel2([e[228], e[229]], [20713846021060085908071105513304556412817630308151607438714049866357354550752, 12308156363070414998141304956459569678321247441462175945058420898750569812289, 7869135919638822130359819523186642202243136255410646018113662355856102696554, 18106721900555088660857020092432838491684499647468676099930405315728768226404]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 77
|
||||||
|
cx = sel3s([e[231], e[232], e[233]], [18212889377782903846034117170355855193339291343619773736161614903123505780500, 5724371935927035469891307360583032289870105083635885948626519084327837492412, 15018564556029978781532805643572668082137657619876811702006326742091833640503, 1980690392504623526106436839420486135508948878537486163191798777558809427629]);
|
||||||
|
cy = sel2([e[231], e[232]], [14150007145691261709583376556777715716099818143565185837820917588114159379297, 20022624235079706615759218203483775626475427851084411515081825296526003331089, 3653600812499303949236693031235500821149221426419723829534939359247593779698, 17687818220966506140783793822520601258809092691114698078370817997514472088683]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 78
|
||||||
|
cx = sel3s([e[234], e[235], e[236]], [20014362392122060372382978901186124374461219393111624832280409989286374019151, 7678149165067745993890478281145655203076154350573466295728882151032664933813, 3225698435546178867794794576435022149554488042976954865856749306115721077662, 11309031064526492555710928277445241789558140050876975815061803061421298770441]);
|
||||||
|
cy = sel2([e[234], e[235]], [3781524301363795687584984812832316590367643113392401377547409393858835211208, 14954378542264966404669454369751236758988379152056658083888298000396867621936, 1762346050163239223923110798598502612894079706374187891044283390513959164382, 4511820337785812086858556857918524260240820667203320876468844848816354037596]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 79
|
||||||
|
cx = sel3s([e[237], e[238], e[239]], [9734499467834650890192498500298459962067559704398257089549121433441674087115, 5215135617552133686060655322881340267001697536486897440412599806944209294580, 4188240743485809003397687109987123955188618656835900004447532212211334022150, 10646753846009034357734238656245532993332944314059322522045789305478499710981]);
|
||||||
|
cy = sel2([e[237], e[238]], [4354361275489184569727883669567924050940590772506719250562939951242102459556, 11812679101253609883065116716426172392592451529279171373836703114919477018303, 15938685241828674681356945591247179905945286496762161102822537588243702016335, 2396399767043799129388585002615296373717040489521252489057941017313192676808]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 80
|
||||||
|
cx = sel3s([e[240], e[241], e[242]], [9547054830379311239093093214427099367592481292385809745992166194109928893132, 15809211758984123203744250589992081971737344928666499432318524828207451637502, 2317605133926452505125489082200124096354438531853199813212363802981648616781, 11720218057191867199121604823871387192503455956722025424220873115151171617846]);
|
||||||
|
cy = sel2([e[240], e[241]], [13627319622459471863286677434492810110443625239619395014230589374758547978269, 1429116229161069264517866355097922507661063351137334983223517731193665190730, 8760550298269703331457356635709373772631633074463698514870757469189354319951, 1695059580774200437965405056230849147697820569205516838038543601601027611172]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 81
|
||||||
|
cx = sel3s([e[243], e[244], e[245]], [5462734684060346793723051717116621327144354637585189012464556861789633254735, 1574368603481037100592052661337337694471748163849816976465511323905498090898, 21017620690824743015216528248522045704369427405753453300912995325024062710748, 335774257251677761852834523904277348100779994383726453798657085528043830396]);
|
||||||
|
cy = sel2([e[243], e[244]], [19956048369873968081515874523485925798105246605761695905870795560621002747577, 9838187823381646970305000918713399614038197140004128824046441620722100628627, 9761598443789947780667845618272433395258577614354457312915153694570906468084, 5678382193061301565104967410106463714669588791192144419019555111526838349597]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 82
|
||||||
|
cx = sel3s([e[246], e[247], e[248]], [14120934246971429747829618071104732571014495017644755746350410437296386191831, 6321525285327330824512104449106606616844709114576208465479970358050873874349, 9828948304711234867338016094087396323909457869737239406325931677882463208355, 18078003119304519959309175940845224181126936983821549690560235900824217790962]);
|
||||||
|
cy = sel2([e[246], e[247]], [20946993100078048703890437478651577253995893117657499778417778292965813281806, 14356404021232332461217625395600664517715960389258731685389867303545696108853, 2810577432005044954032138045179699447584646279814848461184496089430514835598, 8767040452903340993130881597424027588451974218686780194782289690479045090015]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 83
|
||||||
|
cx = sel3s([e[249], e[250], e[251]], [10074124480658003038181060843544012751655263682971006047574974839001332519369, 12077899488247602319223956898393373607365192976733626340271805296106145121355, 16135938726601100366620437452815649119119591825429317780601932003124015669028, 8179818941824323394614877573129531443686047058703515433852568295536575458823]);
|
||||||
|
cy = sel2([e[249], e[250]], [6742523042997173838799423244280133352249230789995302906545025471831316165384, 20571270140927253125417728386763981919687051926731085366043566448009069227191, 923263495309221023264076470401516657594260797987069910555955234338720881738, 10846387476002903807347429282866412191160400241233297902208546470305682775632]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 84
|
||||||
|
cx = sel3s([e[252], e[253], e[254]], [9734317150772506967195863825775613184177780587009303743393397724706924797808, 11208201130011695436334652728584169313726840614571295516236997046457697153324, 1222680486642983364052833343811429934453835860106899436901212790725638894713, 12019238493894483056724448289009076436822742112482573063847552596048227585627]);
|
||||||
|
cy = sel2([e[252], e[253]], [21086552119896541186107689532205383551960199801453516689016972250104900583432, 3056767815025727154134820681013380076250249612276183869180162238277626532027, 8232281317297626211055636489579107493658454229617058760791605403582002142140, 14549672514437654184453326941604694948116368249587796119338038904533837120165]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 85
|
||||||
|
cx = sel3s([e[255], e[256], e[257]], [19897146034704593618377175099239959996606643851373776355482440566659528393713, 13567220274372260527197800746127305934893509881083589343644604005840555405371, 19175080795372179131749429828665039169211560827471558543841205575231867635965, 6917449549804522032498038894724900459329834531091410689621076525743611296938]);
|
||||||
|
cy = sel2([e[255], e[256]], [12223657826278264815494051932052421695129917274617530304443478482578919678308, 8295548603728936503708692859047908287111164162226375098145740427985958712611, 6607229719664137890140258196376647042900642854569636028419328459816951119658, 14110421155257010376968111292134385106023449978845823063864491477811661996253]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 86
|
||||||
|
cx = sel3s([e[258], e[259], e[260]], [8185677100333640041421355126903921619342273914070568426300075868606141405021, 1670466886055998857358105826250955310011203741639197041742892893805477021056, 671638389102335040808130453738616724135371178235871000115155863725237535561, 15155007602444057841308084879571465766457754342497255444459746080732112337898]);
|
||||||
|
cy = sel2([e[258], e[259]], [5730721122742653576294802609542803235749403433458024692842251665338778112357, 14898703166129675283863893661050084311561656604196737234704191900969087474133, 2459074141813559460216507737311533957327810551114696579502401763839835381335, 15516107503085209346875467061340145906150528515154791297494671889511125291207]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 87
|
||||||
|
cx = sel3s([e[261], e[262], e[263]], [13654034957145907815962106285631017905892861670471883127206658577251723739165, 8633158844589460452837721754446206625865140330878411953122575379370751622485, 10232722293127899126024059808155635562748968165573438955077544464410325913567, 15328263964181874734867171882863588382257876665732200627067485961683406281267]);
|
||||||
|
cy = sel2([e[261], e[262]], [14648234277430895067547661111448501238234630914838612427562971477472564218927, 12394752068682518494797840832073763890437175762631359486643184011399642941695, 19427382571659868487644833684469199967640111942906298364811415181281091481616, 182598521940883711045871251162735110551301299145061787687905605212153955957]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 88
|
||||||
|
cx = sel3s([e[264], e[265], e[266]], [10625366736090949097208784405733508126867531010210504034282606844498242195460, 5745457912443473561064508106222759378152708028067817946740487826967842596074, 19720099885004155494384241598041924024056522066497340576395346816817691557959, 4411557748754390593675263772383003703921572549170163035845149756207936580167]);
|
||||||
|
cy = sel2([e[264], e[265]], [14732913015624058203205922728424826465278063568996784510238321594483738024116, 8539999814473505400128567752428776172019356440581684960088711125461388816752, 8671134805346361443739204337860301475415660510460401138135319415884938499794, 12889649495366374604591900250806268552879620119403975808021738180701264567775]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 89
|
||||||
|
cx = sel3s([e[267], e[268], e[269]], [8424620995080153959855099087384460880708718787657472234234125992142104413784, 1213413054380708818479960383614577938132447492306231448400493113424770669073, 17993616645286674150803280096391639271887381916203322164869533675674274690369, 153030618728554031479557843767027262505356544554897273649773418701874030937]);
|
||||||
|
cy = sel2([e[267], e[268]], [8774350273413061850499929377371854983526435316805379820854063460345613579740, 160874859222003480689240665151063301233791348742268400199413950144629148606, 3864981636983763871420661536128329698816776138190284810024785475130342429509, 8927799801878514388025533121285392339945739901708290822291826043102309328947]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 90
|
||||||
|
cx = sel3s([e[270], e[271], e[272]], [8559837035180670877234803295116293964077309001575836599087921933374799946149, 18335809791652365585369283816437201104065890639760635850904865621132150615442, 20223042693949477624057496950714682763488956308852238106089638364544757819336, 956531986282862630457073126978994765430652506058410664783115436243377137130]);
|
||||||
|
cy = sel2([e[270], e[271]], [839500690449928047855071514156387100713350925422279056462945330783580827563, 16644736196961833445797352798716804869773621626799896168771841453493474463773, 604545836161644183235683876796430911898168138926947606928620724963455977159, 13372011982201734306725124438714782615028067496534473713140957917136368058903]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 91
|
||||||
|
cx = sel3s([e[273], e[274], e[275]], [2094128027031828157560092686172909842260483168819281235210539106189673022187, 14831470033363035728579660771199958641838096197597230010879786959469055433282, 14580113677826055589909107333827815551732916495147612562237413782243389891044, 21457439024195964947733246659608329461028391228550531897929776149059108022400]);
|
||||||
|
cy = sel2([e[273], e[274]], [11349460624897126395359735030876451695289908168621129531254166231469594999395, 19428708736392770387243553726555356520800900418277262898221664159221843559913, 4432119977004888069457445133143529511285856348699582219607694824086497898807, 9160542608356323143471297830883618199584611885676024272763585312451903134897]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 92
|
||||||
|
cx = sel3s([e[276], e[277], e[278]], [4354759259287077683606602421630609654573093874872166313972356669642414450557, 13648951383939395268518611670175324834705441295145081802011558222046663990635, 14109063296906889436525684297777423342039664400074253643711178181120772454442, 7920829805332901764517739207944367186855755092397343817260945923718690867274]);
|
||||||
|
cy = sel2([e[276], e[277]], [215179997319049227050677351252505122489806707992988193421803248841509506088, 15514289571504865101354424086151224801481680739860239328031576438563705370521, 5904618612526890474103927634405504783798865056645457180704237978103781216311, 5748211772814574948909294216861178264766343013494657271260147929020820008781]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 93
|
||||||
|
cx = sel3s([e[279], e[280], e[281]], [8507753630181199902479216321724505843375506218865451254864654248120523505482, 9450124212352501425016224885075456626937137054710829941179274211424392402188, 14617760695968479875555170000896560124384001439628509056518085157675385430999, 11259792651191057957240332532512267993084988584437199185342993378682410436972]);
|
||||||
|
cy = sel2([e[279], e[280]], [10815868200773974736475276546832667321164179489094422703987813447328543028788, 270750089909256057588643640569447562301277634245971255743235422454022028456, 12525264811662854133497240150104162834870195408235601736200987821770575683753, 21492322023082787855062324449039977497952909569982074113097211015628539637105]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 94
|
||||||
|
cx = sel3s([e[282], e[283], e[284]], [13109291774440010508838814834344208104350382843329321595606001193219335478061, 18178081082215000330236621415683992037792438414607902561151998975591610672159, 1825689425393769600328701494994687539687903068590739461592021486333291661266, 7793684058500310840246186772109776829776364159558184911962167538064855177290]);
|
||||||
|
cy = sel2([e[282], e[283]], [12538966751785809241486764416198217361134417700423840996157483469862141526006, 18918692038570377322252840249784989027502652471358614978414943590808682898821, 10739840318098234656669579810873413661071494114926975536918927404574756289141, 19177195314890990393062332918745346394029203576215723513167013054282705104509]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 95
|
||||||
|
cx = sel3s([e[285], e[286], e[287]], [10225920463059329189289679689043403756461771898061631555012236633674500607894, 19821058226025589223575559712382894896410588163797548720897159700660021786692, 4342530929634070742874132949165242936564090903607131574088848141363806195244, 5402483411262228419126012059406829285695506472234034454332016959299908934815]);
|
||||||
|
cy = sel2([e[285], e[286]], [14845268720181506270843668435047795143673881800644972711347963164805203292028, 13672974733920510644893233723674603797496603310630434825704649796138313401676, 6411707949262855152252009198588056473458716851460397006471717726058983234993, 18779680229580121519443328584313676056219616039194596697158403462222387132381]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 96
|
||||||
|
cx = sel3s([e[288], e[289], e[290]], [4836760236524137019788853323648085337078365119204570171912328851849081302469, 17868028324749251162769441309905628927317218753130618155651317995445082462075, 1772933343466453031175704703581215603932939906355841484695391914536709138761, 3546600638749568273439745161679319484611182076185127936908592367054940973889]);
|
||||||
|
cy = sel2([e[288], e[289]], [15727462261854339392836033936665994570356817309630572739663218192786419709049, 1337461376408438722980356088847283448049292537148264126525086899131501823829, 12238707625348281750296588592788256417660177170554983893114345282873428793086, 15525437884516977515442248737754366741726151193578138245479811700230576818338]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 97
|
||||||
|
cx = sel3s([e[291], e[292], e[293]], [20126221763126240993614454578144859888701958472483256034667342833856637405284, 19699064573618103786080175406330154847584332570598813466503995653274429215656, 5989506922601319310850294681562133253116809072854033597983216925515271522735, 1000911579713616921402553874631906432389325985380989857769833587362794312630]);
|
||||||
|
cy = sel2([e[291], e[292]], [20063374408209966489810045113711694748195105838875731221209079272072900704065, 9194215440981146522641296536570335847038564333573070389731736048602585014353, 9856108459841119062384164372572927792749846793172495377480072007040372623532, 16456996545907573633695460898581306270452076960241899452978065386508672788709]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 98
|
||||||
|
cx = sel3s([e[294], e[295], e[296]], [335301756618437339439144029360964383534478515390448989496515998200065120560, 8900295787747118853873347685755889791679080209434225159052383890249026687118, 7128354610803275364524320321498051406687079176221803083268519268078181474486, 10587524605383993790235166395264599817111999691721750015186077104713345396025]);
|
||||||
|
cy = sel2([e[294], e[295]], [5048381480643837407413881593434054866090196361251156389103862466064034755870, 5633507321470690754598569732643608340435754341640194463936636395149026354734, 14155759183302230320588700447409830028824433982845500795956824041195173925296, 8029144329154622500871732803176023714578210937344495829905950083327660868243]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 99
|
||||||
|
cx = sel3s([e[297], e[298], e[299]], [4778598962832696072676642978625204359871247189399816084941520023705687820799, 1041656446764385248839445285580789894072064765593570151992974139621577464190, 16604772736533716135897718386428759521995904068172209060160905451073360508438, 5434449975739162120230503825057718004673241312353068784008427484008820677975]);
|
||||||
|
cy = sel2([e[297], e[298]], [6056883361340614567315212379835078890341975776819628834401238537031161511515, 12948572080347797369632667255105735306309789288527345335385584655912071062991, 2047203431451992701474247296709372094572802843600017662927813418631212656090, 4132565694324682855622172238297326586214736771195057409015171400249163749388]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 100
|
||||||
|
cx = sel3s([e[300], e[301], e[302]], [6916961985409927380628327393774423923434707859806165446564471158322143896430, 5992074540412063352415311056228455935293166060283849428112990098777744329018, 15928943908823412922424046027263578805013830577468518797177611363337136608209, 9165805262654590321870254579036281540959358923531526687992873621654142568029]);
|
||||||
|
cy = sel2([e[300], e[301]], [19113997592137471372275504986229466743101683336744251847362311356790431849943, 14004712182695079610522706143578502649621084194457654873685315715331271860709, 19337382334092833222650792928980596008310896977712987991984497026496963328127, 19598147310295874176650103171586127283815601834965516057565002042355878900904]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 101
|
||||||
|
cx = sel3s([e[303], e[304], e[305]], [10948634109523663410073892096301229908363974454242026292710198013874268733721, 15429431087099938206375989354827088309373134102432374989679474148007045226404, 15424933350139202912640857850279200342934439164947473620816895024212952340734, 7249326591094430300092421476233168005480477057146500206388167575638063334006]);
|
||||||
|
cy = sel2([e[303], e[304]], [13978844239437491612582517692269818179489578402023377256168376965218369369939, 2030861900932117628118671150363276958527364035939087076359289004302891739342, 15817916211331592751911789779171300716227893840209480318007078572691072662437, 11627409307299027242340485688430280907603952564355973323102745520536413654480]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 102
|
||||||
|
cx = sel3s([e[306], e[307], e[308]], [18995578047969205917336954191535061050094635635378379108624715348396977983189, 4225372875497776800681698864198574622710499387413704002947025943614195612470, 17351437921298308953512714184518159189123423974926314714485788395814969849744, 8648037604000808882689040136601171409077000943524268908332163815927078223586]);
|
||||||
|
cy = sel2([e[306], e[307]], [13847262887662907650775044616657488013627923118617883909535158774246706595453, 16327475809001511779800793713087994795688106377254965385366798254360171531485, 9662682437808722890180813130657795806130406684446667889065062080930078837985, 2502962306844881519115529360019706751646009100590601561262014681428188719652]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 103
|
||||||
|
cx = sel3s([e[309], e[310], e[311]], [15920090333582846150341817050024564335649064112537068561935372152494077145209, 5605643430930274732542971456995927736808851585930096579266761796229766916419, 16417626123069839752924241752177228747744623168825833393208640134299321885615, 10047503027147056454952493773282171263110464519924564641292405110762258997532]);
|
||||||
|
cy = sel2([e[309], e[310]], [17200096279975283058225939790642290750952306062383335630123644381672038262866, 9789126042032908977600199303915152601153926597218655498907321898754260478045, 8000890408406693601499028261723138327296400099255905955307073434675924377491, 4588804177243916206243160261751431868697632792491002746485364561078105548339]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 104
|
||||||
|
cx = sel3s([e[312], e[313], e[314]], [17405833224461846119127359023602459766899246377474167154738658246656617261320, 17497966949182265924717994126031328897613192226672854325764486326873236644838, 18112601253331073769860162727184645241197911130662557597456857637926799952771, 18917984642138666446882277898695258545411024830699319452174655151221791211048]);
|
||||||
|
cy = sel2([e[312], e[313]], [2379006936139604897517171125029127132096844925377650383092744055973319489305, 12749848257678287712950295235536433677019860991481258729313170570275169590140, 19636804280533422414605179875456610832289030857729756765481423873607782896032, 1918232436869295272222782754406246415048195875894409329377075908962690232744]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 105
|
||||||
|
cx = sel3s([e[315], e[316], e[317]], [12917351824629483440622737030529674983967542988637720886395195031194160632079, 8841322465723154205678020011172362816775587975165151786897606627457187155545, 14002729598867581256643018976730132585331390790166577050573493502425421127182, 15268061642248917754819598857052007481406516866069427006418085798086854466171]);
|
||||||
|
cy = sel2([e[315], e[316]], [16674117998706559220643814233136742237729068875288271911312504301619597199572, 15156988565931490695937923747057400310765196912391035444903438612244254494193, 10444568487973458741284119360757120950097746658650645740311119491238200646302, 385547467860345680569692008987772843718726855128251196487129380665836896693]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 106
|
||||||
|
cx = sel3s([e[318], e[319], e[320]], [11485514708661668839797104792911993330100465395538998907154500209956717209980, 2378564891356297882391172511058064121371341057541144541265151112602629407486, 15431113736930357829525054375951018432490410667610553241393471463868088483568, 15128200972190674116782495538728842150282218770763850888538540847691112710086]);
|
||||||
|
cy = sel2([e[318], e[319]], [9353349283824572334689034791316525426505799181965760097150790472211583538470, 2565250682258865603262212838934596650511603775929760392607203509225620090349, 19046693709474252308020355261538860605259941620276924614654553264840108783324, 15978910116968143273641610096037639009526883121076925418594134134597880991636]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 107
|
||||||
|
cx = sel3s([e[321], e[322], e[323]], [12732753810746517185428320079630798046136898905138090354428070504022561261129, 14570979590504848605419638850092710612576634760731998010991154705829891960303, 7081876654999237785822068068775175823259789900038464857602167050792131983158, 11911397750859796885754857056361505572472692036239385315518934824432070976827]);
|
||||||
|
cy = sel2([e[321], e[322]], [18703753174721947326863540292822225800192529767109903887849391280378615950879, 19613778040124100165889220227898498533129133505873538625549588791740345005884, 15039820717144729975607443780109118368904218216499993640810787891283371396202, 7893305471806697580362861198809218871446498187812275173987543199956558198521]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 108
|
||||||
|
cx = sel3s([e[324], e[325], e[326]], [4396441250850868966014141809834014631796411613521413364533261157108807304791, 16836648497150572549121598580118959226192434996387135129991940567405870268725, 19465159793724690099931261171165210166819967882352842855510624454147581274670, 18758053793437253746142721581116755417112792746753684636213054094477781477382]);
|
||||||
|
cy = sel2([e[324], e[325]], [2981405188098805378415778407831807030725264692497108694734382487084076855210, 20469108288868835484927940943356623938045830438424196869633899618683134613519, 933161936100801959708943470285929527457537321589386575156679532348625637985, 269411351035529607018992916380602655161076148137839318392666564540836404599]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 109
|
||||||
|
cx = sel3s([e[327], e[328], e[329]], [18448980711993048271679830178954781281796619509660919482566515137849326949705, 19744948717433186245821639271216553763028577858032707139265783707853921912155, 19819689638742986969009459074952228930363474994050981268236002838584672060867, 16852310388498099768769862489306840010510354704163417110628769300551675410617]);
|
||||||
|
cy = sel2([e[327], e[328]], [13538295481673593444396948705042001770075594914797407330259513771278632533788, 14779507856773747214980057665178562325159137267699293184545672938786460137545, 18422483889209125213732972603904783756680200857795267276573963126785961918198, 4225410028652447730956912638069668360808266049871102249949930413024208501463]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 110
|
||||||
|
cx = sel3s([e[330], e[331], e[332]], [8789386218557174287787274081526754120821582438440596481230009033085305168336, 19604730670978725971286378588091820043225493993475360080974783305559899794334, 5754400819903612415922678283536801620301085919072204701407326554289862247, 8133367062275595631112870441047385208403330263311352404563334748971640119238]);
|
||||||
|
cy = sel2([e[330], e[331]], [14711352054903619189890311113670897561016852508413508359380114647296690234759, 15505081148609421707654891794900819606599284654426944331953154100271365747946, 10498745521808868190882616751430118808278388180031887838543438537592782154020, 14283723444930116423678497723705206282538086486601870839003576853131844860728]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 111
|
||||||
|
cx = sel3s([e[333], e[334], e[335]], [16410879947793378178852309134034691965068173351773904636443113803287073468165, 2459742793248426443467557681746013841012911230130900204552944771295773437965, 14148653292536659971692314351826075143664660164844520450779907656237062521024, 3823568337665129538914482600317854425115614575078537531810182911935066246893]);
|
||||||
|
cy = sel2([e[333], e[334]], [13525280335627612179489028500357999227382280656020782481971742893960563718069, 13906986326008385599879221793305773429690045797230325194617940541283670975066, 17928827609489859058711914379940226888033289004797111427100202351646756410052, 7751873896780721346657011057490735623065509677587909473561532470621436328656]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 112
|
||||||
|
cx = sel3s([e[336], e[337], e[338]], [6360670162449266467030644276184864100593477111108480032796373772347480922189, 6238026479435781753480651584008291445457129357178771800497280501659229824509, 14372912505742790548866622516086728314858808340582492719789600777407852624706, 2504355035079143757819920622529907675398702401030398889002491033376003993290]);
|
||||||
|
cy = sel2([e[336], e[337]], [14257529111287275777165336596087530152135443364949890695933859730727871380736, 362630247512640601958597579829458123399369864147591061426591055098065517091, 17799973102921706872164223253101644481160962872432375782799635148100439645882, 16292554915278539427322523921562887226516459098783274424269678044297404132797]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 113
|
||||||
|
cx = sel3s([e[339], e[340], e[341]], [10885915218940734071225780147170174316285574070557833147925199753671864395970, 16952199638513201931184233985077369412021694081253114169931799009969944845190, 6579022618957621849920927439620464464347948481098737101648586523931683396941, 8954730328909621308689740172956171586217761959578457105814991014419829084276]);
|
||||||
|
cy = sel2([e[339], e[340]], [11029057981581926429073650712620964484769971154264787930046960173769123662678, 14057756519867963926667557918235357382317971790756175535573262066939972782226, 14508105580605381633693926053140229084417508695027158358695356916669309852365, 8985315555716651207654399675191261186115135312348808559060054412234307291987]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 114
|
||||||
|
cx = sel3s([e[342], e[343], e[344]], [9591625063099557813317657356201310094684652614430671855551305338577894715651, 21710627476302748728292369634413673464477226906421695181551559967392730749884, 10189696652015358480306279349674126142601586910844054141319090928400967920492, 14575448555178809619615329760249104735737622500547600222673171666044253032327]);
|
||||||
|
cy = sel2([e[342], e[343]], [13661097518448111362501604180288489621905168345464166181035334250815558586292, 6541927678640542532346030316589325212935454830056081625698359290342280209696, 19655534040611331062875671654696954076416928174908705322979343601347718766841, 18893407984789248251370377180059349323487262100431967496838185583910928677618]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 115
|
||||||
|
cx = sel3s([e[345], e[346], e[347]], [18886312892727437565309004732784060353326028914324367568840970250261109059822, 4969806713830542782459289156960092729650598975239889678453184524343618399703, 16622981471374298426508813360547940582831388597832992696194782397307736766285, 17207217606628134149600916884515052475396230199786007830822049511835023327746]);
|
||||||
|
cy = sel2([e[345], e[346]], [20097067895510901824034782908594630518461908899922907976633298936904395310483, 7549705567086856493177008201999701185795474113091244286639270279144087122600, 6359914741562734059777896085058461481450840152242223222499923214787802554266, 4523686415566243191697029234004097207393002925819292838991423859908963592134]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 116
|
||||||
|
cx = sel3s([e[348], e[349], e[350]], [9611980085915454916721710377398516249069657290776790665729578385653465657608, 2808629496317279665377941162907583528406102092075003683612652910715356989065, 5146801454146059628396374424703327885864890381251241815068083494646287896482, 9712822633793199870569132733680515369277288793857035023884821044404624931246]);
|
||||||
|
cy = sel2([e[348], e[349]], [12531050708955702438977554896456788618229483698488185884652134859969233228127, 7759740123661798513430229604959580258805004199555419745903987161601748379417, 12676630374277918228347114736241248443643025357735194824989982902529942631987, 7957263793605029493947914798589160413665834659013858298537818906355583201202]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 117
|
||||||
|
cx = sel3s([e[351], e[352], e[353]], [1741783015222897367309800534949631760951606605798891132137371646304340462458, 15753951377666759323512681415584732767525844411650049393938120048851867306800, 11318371057965241278094291737048639440256637452901941620275041654781038395027, 9043834682180335510097190442699980857932890158044577184782692529141130240824]);
|
||||||
|
cy = sel2([e[351], e[352]], [163811524362553669200342941603136686901966525127089114473510248213711571683, 20253563341205755839890642239029020576032044419644567576263861445077574198624, 1129293390247992239629138633531986375671761935795719290973869330578475352706, 12864200497534810115296604114235985076138506691530959360993894765742849428715]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 118
|
||||||
|
cx = sel3s([e[354], e[355], e[356]], [19845239752872171546325855177077796460784181475810291663797620022786920823647, 13524819092286579506826904337550390593582530067994137276480823345309729489925, 6812066149319989921217367650719188106577252681936159930531352608504453614106, 7222950523682776178187164591717978364824407709855563372464941677077475909161]);
|
||||||
|
cy = sel2([e[354], e[355]], [10413380090476979012716640518612591288231919255093118763710930970879877622297, 13124406349881024599134718908760433545313158896610258373843772982921905937617, 10544285464977662192736078007137407440374594005235468167522962555324745898878, 4262511480267656654185538760448950673777806215660569720854482040852407424457]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 119
|
||||||
|
cx = sel3s([e[357], e[358], e[359]], [21840644145325684882015312401601386817913954005861480185552664536266852358123, 17245795366378478445622830709744244736981686761608208515847580487483274745119, 13807005991933596253278252430914713127227144098393113439031517565273756047729, 7508257045596568083350722191515656587852775770850324460219207057837744147846]);
|
||||||
|
cy = sel2([e[357], e[358]], [8473655227220833354585864220301666825011510607427101884196854510787991763100, 12360766780968617496459580910362246207458173665456601955392871687431450155437, 16167977026195109940196928407142099851728373085986722415539043108707307260209, 198020065443013508235269047245522994471757343128188653900779810305583184096]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 120
|
||||||
|
cx = sel3s([e[360], e[361], e[362]], [408538855946993109150255210001390137328762855947155164309686603040268044308, 9956106896094805762100856187967638241058986877712947272175178827260922476691, 10413057148806203104120616811444687722773209463542545789320471445420824622479, 11902530720628689665925185225980720963660904880464037650526790156354563593259]);
|
||||||
|
cy = sel2([e[360], e[361]], [1479997830732538227417547327573357263920837878818360220214252494202287418999, 14987839414386761194654231515173353164503075512219993482548242568337943854755, 21713504951370328462347781999791817908891510961297311340202728964936620298516, 20863127910126532592439656993995677084099363872120709138917554483343369113988]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 121
|
||||||
|
cx = sel3s([e[363], e[364], e[365]], [16909060815089078676939420644976457427406147473547024017569298235433420995548, 13780618743481311116310648367060473410410597997822855004264478650194424563904, 2732495529118703111995546569867225395498452112166729675036576016860030980932, 13122008905793271330592610678764878579485569855365858119720314545298458579129]);
|
||||||
|
cy = sel2([e[363], e[364]], [9691045028169014905240668289132134803037917344396639164551352440947925851528, 3058069811496358922966440231506430818794592620746845318344939704361344313857, 5622098116652966523875299529800829301718212684029447361840034988407307855810, 7183269074283900923163991117263230892311528827769843151316519486217947924186]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 122
|
||||||
|
cx = sel3s([e[366], e[367], e[368]], [20571623498624005071141088211057092924213194074152586837454876463843418144025, 14097761035973961045955839030064191145683851652701331413184120292691554339371, 4700343263415821617058086844751479864993855871131720446111591033305616384725, 15018715227933376511503870740434993985805930984246159457731592079602230709953]);
|
||||||
|
cy = sel2([e[366], e[367]], [16001479421972757821409642160488722706981473283972847385882762682377724905156, 16084059586346766494553050527349239192146155351545756557596881128274718933483, 15099192410657454417038148697642033151361229914558920712490911402249873000238, 6321931552493003117300598295325862984882362303961074819842172524617810976022]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 123
|
||||||
|
cx = sel3s([e[369], e[370], e[371]], [9888014007610840933022906589732806947017424423907994528302713554488676542739, 8913934326838155827928873892003131738033383847534784434581587200177151201442, 11175569252941365912268295578620074710236065357166442341964835896122343271089, 14897216243038767404517178131890350534529367853478353360851740975433826101343]);
|
||||||
|
cy = sel2([e[369], e[370]], [15251452715683470293001422999667336542311051361914428663773647008481320118023, 13776813195393840721224885537714951191622587841642219673672717728440679190719, 109393055477786022036855578884727112792551641118563108378161158873180208830, 4672879465153093973501790898266208077997221906104002063988725461236876037213]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 124
|
||||||
|
cx = sel3s([e[372], e[373], e[374]], [11201877561392804928547433284377926158320532448010089457664943460838007583898, 14898313039936563609742185951856291683792301837166735453885728355621976660447, 271087861779394868518887048853047396941902217944929345703753181641065491942, 4441061173173027475223782298768839441149677456214218957851727123779445089634]);
|
||||||
|
cy = sel2([e[372], e[373]], [17554707027223374526818340909253875671094356182527312776837442099008513816809, 20394478950504145529480516245504739970884923781915405632423034600555134724554, 16722605284146576015540826794584204150250626411625717127438407440061496436970, 18186321490023557384895834600063402151493085858585827781091438725428737294598]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 125
|
||||||
|
cx = sel3s([e[375], e[376], e[377]], [8041169655049264647027531522783115313651111026520000925526843693578880103225, 14515227610041424277087375692958559713914998916629738058046674629183188354305, 19607007966889476958718540412171510858381328905787578252786377727252482454742, 2784733087979918000560628875496578392394872735862389774966301201852627273440]);
|
||||||
|
cy = sel2([e[375], e[376]], [16996116430274827689271070440218340032465717731948638724397047789367189212654, 1334527779675942376452476259926180292226498546209192760351592699867703388666, 2040984273885096997446285553479523685705477968103260410171803510149440153201, 1362381113387759937979242007199225976741286448134891397298462226220340605980]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 126
|
||||||
|
cx = sel3s([e[378], e[379], e[380]], [19334565048001467439446889504730002771044189757270166846813098304840682799995, 12950908278008251424596267965839781465537497199604011584300739900170800951940, 21595247577936157693500985718654956851081515776736906827009279412148715287229, 15215490137474227465600889880755209339274086672218612829479984354294020155457]);
|
||||||
|
cy = sel2([e[378], e[379]], [11177666514768283886285136134046021748603781779508224469021361511080086667157, 19019917071840025176852012694579443932947880720292648245869222295962307004975, 4637723565271538497699679545822400204099231070875646671160251633445655525972, 17666228617432733285346663026898759021573050617000716798909504211448351974426]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 127
|
||||||
|
cx = sel3s([e[381], e[382], e[383]], [10764100134342681938975151936530775454161936697333679961141539476099641645903, 16887585392329741143712714812495679688982136908448490321095843300899468374984, 17732836192725467148065242235309558107289861496038148884513643994394428900356, 1445275363508375975763521380916891145219085429516411016928665376398954093593]);
|
||||||
|
cy = sel2([e[381], e[382]], [19850691100864531393976360616243718992492409320965998539447518686463634627384, 11041690436464044133197365654525664032353519287590211059695239069687237542566, 12282683178748394297470306056106686277334235538468988533692942720363799093795, 21342615132598490749588725326967212830166119543678585183102318245731915882892]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 128
|
||||||
|
cx = sel3s([e[384], e[385], e[386]], [7984775939876417845202037337929702281039643807160799398396389954446436630245, 11385355274910748832054888360458973063107383418973550712148639893241354902280, 1459026779105998101465829026524789739182470402517704469029876736898952870477, 13412666792048974377925483462948441322790663427949756029941851541794367956141]);
|
||||||
|
cy = sel2([e[384], e[385]], [11644088529951120466123058306783377782553679447618569394424538939634266570688, 3423766185322892807020818425845766412060736093511436910964946420904954554780, 4248997486365074893462023447486954255437098681775520477410894095041115503490, 13508520946233121439054409300327739993661203591041357972218149016790406863855]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 129
|
||||||
|
cx = sel3s([e[387], e[388], e[389]], [5565157198993964726485879908963280627890845525340341493437203971709365228330, 7321058630137598328136197614874359518495943608220094707772133348409941566403, 7424926497991627209495812948930411917848701932818206777924739403931504666904, 2952280234707044917845773867363672510563637804197143708410321227590096039398]);
|
||||||
|
cy = sel2([e[387], e[388]], [16047978233091600592523116252839158499254716982332498268149527514947495047441, 3013461674923738179146278200182113922630443185951298626004001204030842783133, 21733406038088991240575501132398939052212396619770619197864537159847335678397, 9758173327391957613571828756022551933369392423107899686458119829785341358149]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 130
|
||||||
|
cx = sel3s([e[390], e[391], e[392]], [724617195994552100441707186007100945318061137735042194166321801565168264994, 21457482305994995060621698878673403410439584990848189791210666985898821778689, 12733018351677357535096192491479720026355634001914123270202692797811692793469, 17876157828650849091584102879830086520321631185862731111337702980715729860154]);
|
||||||
|
cy = sel2([e[390], e[391]], [1941243639179655563586549731833523575056282199989602716546318426577162114198, 7186671745389328078718719957510862463188189283547797342924706384031236512232, 181655793349501388675021326982297619804658251127556562657041847324134931318, 17955220324559325573119985254939537965603633897040077737890918084344489169000]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 131
|
||||||
|
cx = sel3s([e[393], e[394], e[395]], [20917363825188238552045899784153496987535745925685770873105753565860443082365, 4540090524117153259059229343653410962125958868702729157110889632173091362337, 19931748170703315405614719529478161068009956569206884593254142678501117968416, 2400060542928241404744010463507020801241694851019173560965950546401444426082]);
|
||||||
|
cy = sel2([e[393], e[394]], [1745736425002501661522536470728945366618822522645696668197436988525466413140, 3366347972505547411030140128225789817592493957844838153202867496815084725868, 13538672659394937012305631615026094764214309199641714104321427476435723762022, 5730310969197975636538358956003546448924042719236605822193245706535947879790]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 132
|
||||||
|
cx = sel3s([e[396], e[397], e[398]], [12673489410414637838905637938820402546181123854591818062100393889121109718668, 2399760455052989852989301770450241617652861646522026007293921167342274767344, 20212599267512455026947565441242728025855774594658042161574807775907652589242, 8096283485634551421043683037450718803162713602325821677928898619562706870069]);
|
||||||
|
cy = sel2([e[396], e[397]], [2273218791680662828916671149332560291571458847138066661294611637128783792792, 8189321225342615133315741008578315746871762722980986965249683543300354337817, 15342161105292713352374449802912175534449400959133109035836260415735518836755, 18075013689729624974967362235212984989450911765049481574404064991547015443791]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 133
|
||||||
|
cx = sel3s([e[399], e[400], e[401]], [1596291013949010721288060595532569432608538778619836480784785471074053165112, 6808491683819461025655595089437806112418825101974851283793281398274802390485, 364241503925827187366795904611796342209607893955620582589568264631586955422, 16490550871285168246186419126591524969189857825357227166657318003550977024941]);
|
||||||
|
cy = sel2([e[399], e[400]], [7862378404177401992071889396713852447802454946236648304807328682371781930090, 507291250759269099980701396020232970806066743976022636589996988193601483784, 10744127551738752560827414410584235701822856001225517338822143012287884858602, 18241779151498711099077315181629505156252250432591841498036131464452558240559]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 134
|
||||||
|
cx = sel3s([e[402], e[403], e[404]], [13383782376835328120051264492485947246229335501182593669024066132006083860995, 6829659109797487915393241205795046921708391483622784165963215585089039907693, 9316519590383340417002353253254231934003449806173856616162378794199227402893, 13002922510988749141229072125743986091046064285797312111247897533544865920246]);
|
||||||
|
cy = sel2([e[402], e[403]], [1452388014885069534714863742557414467294079407912495717272255602231974271039, 5900502409092025397559171952410984687860230521181044855453255892660864354438, 10043095963739821148582141213281494171132379314509020019652213752752234376602, 9999295030621233000765070897582529515356078631699063530749343953422947829219]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 135
|
||||||
|
cx = sel3s([e[405], e[406], e[407]], [13165533527694513928104129943149460933916076941607396715443729707678633985673, 20294369464168299590806576821399517301857816000499415634107985306452722815938, 6067645363539607688922626118164207320418666861212948609146588413602170467017, 119932367132867885429975847232185792475931817114142487620518936723703313296]);
|
||||||
|
cy = sel2([e[405], e[406]], [17238425515895072477563840544058923640858290538130746390995636765338905591675, 20628042696308823655110673878535950075986980894297665479048269813590306242580, 11749486899455580256560135562925052584441889327031335669536847121302580177052, 16957619631025354458723169845456497220362554006891490260455748609237426050971]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 136
|
||||||
|
cx = sel3s([e[408], e[409], e[410]], [7326992374695153334569399469397596928696501586886381702972942656080738560504, 4198555626333615585226486302590784054103224208504401294485393840072962221472, 18288510281806332963207620050180295922486954421289661405933207406160563376204, 19378648346334975363564386629109544268031565617795572270340255835354171953065]);
|
||||||
|
cy = sel2([e[408], e[409]], [3441991977044037545935620478935168226411039028254665140927991316702138513190, 7980022316348851053079344973315144435710609854183180078433220232446348072790, 10703403289781310156812833248447222548151317595810496437901793212311982317063, 16301246072292511450557090225826608132244132307038997545230147196603338285964]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 137
|
||||||
|
cx = sel3s([e[411], e[412], e[413]], [4380971751033847027929691061398944531722909263311553031455521197665070771642, 1958998764514462202561805635784673640011091472752464180193064104296547581169, 16607632498550062722823535936950763735998138401664871177932105851574722673362, 18107842395238833528194122400147411460295339366691168281515267029707554163796]);
|
||||||
|
cy = sel2([e[411], e[412]], [16794605741797752486161164743285493892529567663448780177764044251817860406839, 627364605348057780240790756195705309805910423716172983190978634837740895756, 15938340690702031578469687601244712133164105954943969813204470601233395408177, 1337728022058609756453976167140964506743665540101352471912041874198880786028]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 138
|
||||||
|
cx = sel3s([e[414], e[415], e[416]], [4325450975911066881724043517797022496124195434220888316197251865366294339361, 16239262892194658073042878979066943080253388067983326658313518038231343725333, 3224923392579231188607529005374853676842589239602348970956358059045513499844, 18711810040957806004127569353264972856236116117792057333129328498567653245337]);
|
||||||
|
cy = sel2([e[414], e[415]], [18556589125306655880844231674670238467511897504977535323905816448582480367724, 14450907030938846250134541582271892920169763336845349109491176054829079021938, 5489164165718004081061600001298776199757130654902992957321875892970948684039, 3404126456231281994449938636645452663538090331489692208486381139765931389947]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 139
|
||||||
|
cx = sel3s([e[417], e[418], e[419]], [3049906494165633773067493912990013841965806179225048735919293547905816967010, 2425405604681482172566807394598240014734338608183001729881716084701331638207, 21560391195338031738549905898033672840916947395960523186297949490337780382461, 10640880946275949996544592530048605056441276931537882586193904453232482475238]);
|
||||||
|
cy = sel2([e[417], e[418]], [1139270967545262231620743596254789040950691396231510347534297369410226811042, 20852287956575668107697863776884710196273757688539515338600627283890571581133, 17188605966302742252765339963794720668370341043552053263753117294010969693650, 19246586050423626713095252320183688353765457408019346352862271422811659317777]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 140
|
||||||
|
cx = sel3s([e[420], e[421], e[422]], [19942746034266536069392101170115851306620344112551007974939114086497358930858, 15726708481134151732276229872451366695420040201434018827381159241014716358033, 3452250047812572894016965388138239348795538732265416477858038566576272340399, 732825901760241932909222883465959257672029209130800755766287912812473135470]);
|
||||||
|
cy = sel2([e[420], e[421]], [5234335526367392822375043936890479400588416815383747301372644960641216357795, 16682782393317738699538698600037172468451638588454521003611347304172554322239, 4800939729460682232720559307513657730880675292200605768084865538547688695396, 13002618796997179002671199181852958465089986403190513123030050511152310206971]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 141
|
||||||
|
cx = sel3s([e[423], e[424], e[425]], [4345203866646269633300579468877411954334981515932585752657225898484243906660, 18369957391582635573293322493321958485207102003892958136897534329158731684885, 20673831086732472000273127370905823039882723856850376643114084876980363716192, 2498213507326390169362081908041456736901489034606083564552630396661416090091]);
|
||||||
|
cy = sel2([e[423], e[424]], [19711785928362785984568609948298550809737208754846854010480265206080190724688, 11436630733281926268922633177556600595162960771369546050376297927685306050908, 7773194831659524501769470153758921383337560398544153003929463015874290745463, 8133306555008250199402612262687855812899186562206213570420163947809045175265]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 142
|
||||||
|
cx = sel3s([e[426], e[427], e[428]], [13604959715661441436052939762464429298226713418171390314110026091418525209941, 771054573202666486644315008474869467749501529120937703475279735897998473318, 10650739155896636131407567213077995361727149157766675911133814003745320974607, 21082274336612203666519840927907859383019309974047946161440422017817660726149]);
|
||||||
|
cy = sel2([e[426], e[427]], [9106634253925907822997376723908848470389744101982447244238790923479221740587, 7324910184007890101804849358851153077116609835592182327277588695666568522132, 9210749700131521931808418873690269098719063379384664590576822932928021903283, 12373345790154524492998539937744274645461345882077071841080883186883404184026]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 143
|
||||||
|
cx = sel3s([e[429], e[430], e[431]], [12272981972646946567553896730199881959247853499104488943992635249117595393209, 17484113948306348142106921779441669789323552473173221235726133380929727014173, 15117556748390824311921483809280404911428464810641842112990732230853500342878, 18738665459003240153367275566837691463796036422817751002779294781153509048410]);
|
||||||
|
cy = sel2([e[429], e[430]], [12840198036955871442566173317906222816787870441489199428401326600711994709214, 13447048657087191261352674553209997835888060694120420289379298057286058954919, 11085124394828809185369563175800089294678889500629428639251047427113804175136, 20040932616180013985013159566209210337758333701488325181237556234029685365086]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 144
|
||||||
|
cx = sel3s([e[432], e[433], e[434]], [3005593847772820450050205074163314509976806377772621088836578637506564062913, 2910567614812792758847544159495544141576095133298651646543717734234356651464, 8630893570634023334653627900758492588201195084156991103796478188432785900122, 20068438612873289533893462991408376904784837411837844241529573433855826118434]);
|
||||||
|
cy = sel2([e[432], e[433]], [17258587025904856892544250820556722922327972240440200527118380921147955645556, 9839944666562674042904466515196204595921896101136113309540898758440523509232, 382264312380680546118029507176039576064064377468124376294215202312670233326, 16859633470889096937094854459393230196320754799783499045789361347337904723211]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 145
|
||||||
|
cx = sel3s([e[435], e[436], e[437]], [21553262056684585969628674122764109775958361035991194009613252605155913211334, 15282636750399879299317591027894754559134990135454294656134105963760417995544, 4066930541781809252860144352581968840798983673586834922803928000950012716773, 17266825085778436273993504052249489036678132768169211810048007631121526004292]);
|
||||||
|
cy = sel2([e[435], e[436]], [14469270633466381305852216281125837079646617198515099740000541993840798471084, 16980111987593030332881454298183054033228595894840772569146266548134494583283, 15118688184376333116924615779850360769477969453186921964192734694461085893102, 4748807943449256265621737370336238625547081211863390407052811770007138872316]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 146
|
||||||
|
cx = sel3s([e[438], e[439], e[440]], [11763347508086007810977359866267798246514404258245360557926263268200652076963, 8663905006927572311188991703236656874376542152827973004022578290253373528008, 2952845374549988741320721621283121797914244173004620545437372716814928986849, 17071883097921153691621062529879599274949735278299892231358334236565401545899]);
|
||||||
|
cy = sel2([e[438], e[439]], [14706162498378202954074913829047629685039231677186626739445882650545999503202, 1719746349330736449674857345290037499267579249273019799523377364214790913723, 21616731410397798448193163892890526448374926979106286339849727909287686706845, 11446919769449393256780992769707214683226878212422736672766658759052425409242]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 147
|
||||||
|
cx = sel3s([e[441], e[442], e[443]], [4356994949172878276640972387865792898708144237321291982532719592191935134502, 9058912028451204788275313382642068418310841490274106696805181452416351257146, 15190160120915818686650557755704440198069036613617930484645880424887234233075, 9960154561010441532105561845082645172957096392270554555453954413006726871798]);
|
||||||
|
cy = sel2([e[441], e[442]], [14574692378125259586817945291111936727424704391123959334117252195469092200764, 9224728228539828897416026999778106548490158473228676095012930511474594231477, 1760463507739730034367125481096536174852992494939001755761219582349351757169, 17340078450196530212205314520279311841731993777309479440929707007860057490354]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 148
|
||||||
|
cx = sel3s([e[444], e[445], e[446]], [21880820504467716634106664909402072165472960350877194774465177915127008092893, 11747606579643600398471099307152208653405848363842457205852065247815894902054, 19027263041564841350573847395951723454691080012198506245692747602145336686229, 5632682422077314837831565983660289273448221389165648008167925020530588300924]);
|
||||||
|
cy = sel2([e[444], e[445]], [5182168744456816656485869911241149693404052223082761825064601932558781730740, 2685937932147288674316610675212322222716444961674715249218650895750571659552, 1912852125196207140975649985472776011293820313776376659814516409955251806791, 18263958114524880676274451483937610105571465623681831140376587635788141241088]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 149
|
||||||
|
cx = sel3s([e[447], e[448], e[449]], [8936781701927368370215210870827508937678765478808217533286287559934624784681, 5108431664028439851662340341125863641795570652264053957564019035084276122804, 12999653496005517730722186355139904948504508219343877303366358022761375044402, 19179622495081980573635923134343351242929014436693872859625873727501193848932]);
|
||||||
|
cy = sel2([e[447], e[448]], [4623029543859886044767307470074323247069187031547412019261660683452990785239, 9857015684855568488276378660083416741199186578332924215590492662945432272825, 5242391447932956625671668911434466570194372869876929059550830464880164528131, 14646928672286452058469223988095085156895208600523868135204725017248298504143]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 150
|
||||||
|
cx = sel3s([e[450], e[451], e[452]], [7946459614521142644206204774850419894186577869297360917934350740375926112382, 11530085592691934773947896113217121596676226719554558175458752626759168307130, 12291215261278045612022495371137973264064622535432110273152233125306665396787, 4442266885858584741818610179233325487185053295954810407262511211378152048331]);
|
||||||
|
cy = sel2([e[450], e[451]], [20393528966549387266343193152712146799161036298032725317477228673291507957942, 1831259860608244620805838343666664146008857962101286629882205237950513972028, 2581270768505724914793947599867596421087089340177029937008824731251155270286, 1824038414762784797700995677077189626495506231241155951144255369814082278582]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 151
|
||||||
|
cx = sel3s([e[453], e[454], e[455]], [16996326686259093178712301719114535464147004200933701699216923172711169217776, 10135668620867881915901635109225909232593721615476228193005378643989870282190, 12684696285143358527008494835928613367424428569071148860201922633463847362163, 19520340433574445384932755965450431313046400213079154403779893187900476007389]);
|
||||||
|
cy = sel2([e[453], e[454]], [10879703765081907416589976314120373073533854885503210038919805342729980088501, 3042952377945780941440480619239495862925076770257741464841490662991367990723, 20568201167449878452522309826171296534890589395210499691162182782776592901489, 2515435614825363087293388949409937340469196878839891206929432371588941120828]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 152
|
||||||
|
cx = sel3s([e[456], e[457], e[458]], [5948355082391370971277814822201259570199411254972015395356071689733858457870, 14435295688288574008552320445654835668230448171821339773392204385711009673498, 4555707692840173328761632986080641237899354311390885658902712711385985152474, 21377793559898523325502642621273525075966615158530502938404139072744665720725]);
|
||||||
|
cy = sel2([e[456], e[457]], [18781938632634665629392534748457372928296731257744451684662925940692495070899, 20870582266287640319635222130472633641883455183531701982867810507045631654099, 6255001622610081365809867580322152519018111820804890853975941295493185079617, 11444903546950465193484459453464362458126976218066241321940461471249831055834]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 153
|
||||||
|
cx = sel3s([e[459], e[460], e[461]], [4801783634053958699406131208260321653724147389806778300442394152288266622390, 13657947007455887667569605985083889328718870615545221619668723775205747840135, 177598511756923881728697053947837521554079408931967588956714727282062478754, 1374290142752108446259268973165307183295759382785138144661109763848127727476]);
|
||||||
|
cy = sel2([e[459], e[460]], [10503832530625380631086165586158401732075983866290617431349835924922749109699, 8383317413774803586670187834721088561764237477263859389570115631886656905028, 2834233504802602126712103599378293010472650755759227696185340490923006971103, 17330582798076118742935459828744886802843487551551606246519220146369990307779]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 154
|
||||||
|
cx = sel3s([e[462], e[463], e[464]], [5093610893249308867168031458336741939196884648123926997975341654608609426830, 12248279767532955250746877738475030196514076889129781370472666862024900770669, 5043009492124624507652527263244758360087085758651362799261288863076362039187, 16591909200159417412409462652077399999824413751859530227695887196356321679228]);
|
||||||
|
cy = sel2([e[462], e[463]], [10952612598118313917631759693602817846928839860096429550603703046117049639522, 2884939241145303979172401496138136665819626424676215132904685536232137032921, 21092145374321584925227081195844245213760374840107123770724422721835988876958, 5499840197627421265036310285493143039360364243394878011782966367266344217732]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 155
|
||||||
|
cx = sel3s([e[465], e[466], e[467]], [3794104339739491010449122661216407115137782001618163380131794160705537757426, 7514419529276933284458458535371966876401883528785013067210805765651582633130, 2534189532451386749189970776179117832798970009395742348348119108287813471216, 5610243014937776775874159841646817951854662385825951664842167532212856045068]);
|
||||||
|
cy = sel2([e[465], e[466]], [12842968623255283384772731210441087433561383555541999360200972373794310794093, 10823437952973686303915120116380996262045441725571077692704581218749963605907, 21253964658659775229061107104903539871763760188604842330476347939642955209002, 1745535366815989039402026181267179197840739481539734000808670009580269211142]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 156
|
||||||
|
cx = sel3s([e[468], e[469], e[470]], [3459245219635302288341483992140272707638915493010622274381776793623419230591, 9849021255480129732487752167924340739614806540698786580158805033907788030853, 3255308487469886623287718398314898379309460957968181729113829918571419337145, 15359614079733122216507425018253600855203543497608695539122606260839625565617]);
|
||||||
|
cy = sel2([e[468], e[469]], [17415928452277952995861857592997544802223350915817518744596816398543561612106, 9999856236606156376100952785476675300524456948913069129769906530665355058037, 17734497746752242925262857913765409819203458581088950917188119245918082092030, 6881580842463060802624074515204787264906621652045323766233447264566499944530]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 157
|
||||||
|
cx = sel3s([e[471], e[472], e[473]], [634964597278986129282215293208138156361395902716873910540311662219517773576, 310253852479958835592393232442887907344502522183801152945448588489452412569, 384881480274621505303330466062621612997526527075542749162723700081976881288, 11767445114097831765826464678890553621483551558949563523534328471079851963281]);
|
||||||
|
cy = sel2([e[471], e[472]], [17203635141310737823252743409317633065422478971915442288649227045499339781109, 2545094457118912372548408336893899649182443951551613850781196845141738637170, 8609139198776064973664903858401535131314034007074283879284230416121615542308, 20092107484372320312567981037155807130829118997137612522175958096520972507336]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 158
|
||||||
|
cx = sel3s([e[474], e[475], e[476]], [20098437969178934435495041700635313630962028038875583770224318127835756299529, 311104306589906971684844795811359683864786473908061989245919427082915904714, 5007249687217418940511624233021226494914521342148545152148356064906320432035, 9785851145981523672688289938894315309424412779439726667571213830109657407900]);
|
||||||
|
cy = sel2([e[474], e[475]], [877613904095171787446316454384924363436490179245069691113043218080238972652, 15255392602742007855606168874483544819258797919038984937824266131810915403967, 3482868076428758563707184390706074120455579821747810434457575250407348632455, 5737555899585712614112644175034540180519345050397396205967955592318835422324]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 159
|
||||||
|
cx = sel3s([e[477], e[478], e[479]], [17889638686175315317941901427709143202478522471798280927986774735210637820526, 4586587171981050785204495209615167868746399227792813638212786811256473778221, 1864752565757236746122736751796835904389046064841800598816325031089096557478, 13943403942544820674673437343502779310324858400636923221774342029216604251440]);
|
||||||
|
cy = sel2([e[477], e[478]], [17728898667133884634264046347611298588924985692465583707491826367590591819161, 18365428070394378833051912713200271982753415548931989923757430748929339745094, 13355801165885814561827651110098104649674895992244923613944279081535896494292, 12718254346735593182641856097514926990330253814732909832265502852628068735026]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 160
|
||||||
|
cx = sel3s([e[480], e[481], e[482]], [17159516188699622404527134263356371503443962451842558111890221401200764258125, 19697000438877661546696672369476849653861527230741461549059757921200307256689, 8082602544025295110701438493605046299287009032703969632384937719700791606339, 5936552380580117855548116310401989958728171511356588061450350806482980900531]);
|
||||||
|
cy = sel2([e[480], e[481]], [288697205606498046198642124865852628925547477970007319079115715396675917499, 11438994931015502912944770174743669059446783563412696311667974558402876489825, 2713576975757110627428489368530113978475830565467996635364633792472336700891, 20023822454992925006561366839036620580908513505208980493011483098957399405656]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 161
|
||||||
|
cx = sel3s([e[483], e[484], e[485]], [11476903323853344813827041345787850966667514952865946400953029235796901464022, 15662688482882450089332164944545567115920791913333567306810233998084574572841, 16165244090421658682362860955446523155721204004465368156540492359518946703685, 13233236504179066734589049314166320998745790229936719431495551951291164368688]);
|
||||||
|
cy = sel2([e[483], e[484]], [21544495907681885621399294493301860022991247894450553860102494438499516461036, 15070356063300726246376329439697612629246560015487953180041607494107482212328, 10932308314438454016363769449242767120417784090441698745502660483728820506459, 15142440904746497443767345573381088273730091577283493618193631903901402378371]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 162
|
||||||
|
cx = sel3s([e[486], e[487], e[488]], [6740469135284996394159167279126920754449900660887428959259136317440159292867, 1951789672920637712186229138057234008172951294439716801691622239946406362446, 10614706090196653889949286489862565736131644495539213256761186995450585212820, 20219336380099606710973890974478494924791931389585459347005405927908068729651]);
|
||||||
|
cy = sel2([e[486], e[487]], [12559437556228574824459283742977065667884462966124147526010574650373707978536, 11353250997656326728675199688614508617263787972463605193791786351817731868528, 9955679877407075213882986027032271351625902587325271136145291798547578901197, 7587664180577472344145946155058239620135123893989614056504418351234639990359]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 163
|
||||||
|
cx = sel3s([e[489], e[490], e[491]], [11683193590608313373089435698057644614965227085254736967478627707109364481009, 5373593679075319624506848608700634791297845735799356231319125589754901432010, 14330496678432059141319543266495924665988744049796260830269932610430618839231, 16147138941500612947680025577703299264094926996519490683694344514795650552030]);
|
||||||
|
cy = sel2([e[489], e[490]], [14089407095672561058133609212857713657125336981293206062798215054918146117895, 5921405729554308485753035966317904019193857886291312338471036342984958996974, 14219166018565381341875979253176613205499868708487414627746489465729919459602, 9173206043848059861761039827886516664018988512989876666692360758637877840001]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 164
|
||||||
|
cx = sel3s([e[492], e[493], e[494]], [12391241461796318677666973225906912103063953603374991439355987755433936571792, 11342324255021537810533271600486943249554637261483201032733188357979300928906, 6762143596567875242093282841823575455167081327592834568853990326935018728741, 1729094316763263611553329689516612131095524285732807879509329720064037980971]);
|
||||||
|
cy = sel2([e[492], e[493]], [6256323253756510425990684148198273229283967340029341825763386143854418092931, 608479563301898577121898469798459144789668559311173727644698121661161535370, 16118965412641868779259712849902459712114606105053804845952965420804403776265, 5207196556914412218334602277590189653542873808697180315162104560234636073976]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 165
|
||||||
|
cx = sel3s([e[495], e[496], e[497]], [12090834415198821488072985841187199896460619427268475889346428879276625683876, 20435352555053416469114817994605784220258558984767053371686545934216871498097, 7919766463107746640570694574991853522177141706128568812747727580994437010928, 18791819403195060520893758220974368558662433382958799315116210085990602330263]);
|
||||||
|
cy = sel2([e[495], e[496]], [11186634643432676423242372187246648742599522445001126220151236883458565017089, 730264789631663387855933585769199256797088038637783970560657523730947722943, 9789319816975923274967045544277604801648452652703289939384714401867885689451, 20390569650377326057430918388837541684089995685084097630788684319064176189296]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 166
|
||||||
|
cx = sel3s([e[498], e[499], e[500]], [9073477014345643942359994649331122800736234440180113066690071117218958686221, 17848891043122277658033397684650904021333601784635518417727821688552518594475, 8394455238188958480130266174842497177830879983439478526032000789572056999540, 3969215253795918818810265899749520158876595254756141389552909935321879395990]);
|
||||||
|
cy = sel2([e[498], e[499]], [15421230006761899572959376594938017439120427450367920423701622807634638005218, 691759570775251457416249989322179808019152722619656278259527490301863241777, 19687896560656750069557210923004770524699515901561346847457425701096560281307, 13013403796046695153969709190889488389508063704805702465177729278466953096077]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 167
|
||||||
|
cx = sel3s([e[501], e[502], e[503]], [17605212659450062681090282709904508607567301109002577655966314961623397498778, 20706453518066591671344075213608634140534260809172831962434708646209603184096, 20530641835252913976176823270868884490574732596806683216254892843407024651486, 19512520336574558609801187648395617364107060095538444150298099264798316486399]);
|
||||||
|
cy = sel2([e[501], e[502]], [18088283300102077232647028354145534410326244238430555546504288886091850910025, 19624767204537830958950503358240075916787006780432673880401115874844576604739, 13389739174441700308398229420122777340874705736681526274430502297758537243393, 2768660518118504029156154123602101814256009402463064802144883490594220059578]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 168
|
||||||
|
cx = sel3s([e[504], e[505], e[506]], [3898901470837850662399020072718316987511815396623761376502150466549773974269, 20681259404330431411774484706350104535474957110888110413896201115382255532278, 12146860081497614316907871444885755439616687087776665508013517962132514932126, 10103366418676857183019670163194546750004223272088526675082633522057697832251]);
|
||||||
|
cy = sel2([e[504], e[505]], [18552945270636575492780160887690665046683842994616480518496617903497833044944, 16280318807141467057522946128901953503954886894473765482004622686048871784896, 16511259671446150110679883995503700110523460228865394020432354340848786592304, 11820015885519382016829607197866756084707670961286078960070207041832708513141]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 169
|
||||||
|
cx = sel3s([e[507], e[508], e[509]], [6124403322044682705571649214069113177521499060664580284884665715951975035077, 3806547960677312456106393355578152447583324120952390972170284549005371006887, 12796416634735923176681417392847285391386920336707070519873332365264500996292, 18113312677912280033934533469627761267183403533244965210112870702471687667512]);
|
||||||
|
cy = sel2([e[507], e[508]], [18191174947339798787646910619446409943766046946921136035021645191602921923040, 16559060177998758852323304784771936179434931576336411584121379336820727372618, 13858115732979799183025726471151602712224733686530960054365665740611187232029, 9933192519609817862698304326029579651414877338671776883175639003837130283966]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
// Round 170
|
||||||
|
cx = sel3s([e[510], e[511], e[512]], [3342564788366736273905106071612128667477972061160313630133110787799686301495, 13766193863701503939885263345152684798552605679140222504700163745347162493183, 18523279471468319520962369406962457727155204375043681943707151819380964978377, 8094164074569624021939357073285075790695279643883973800173037824312344195506]);
|
||||||
|
cy = sel2([e[510], e[511]], [2329094643034533408459502544740928833981119919633412709248656884170940780093, 3216329736050668550647765981020076413548845117352735257893224753954595290363, 18710403072495673647060422294369054840513840567808020912157404388689648711093, 9785201456176703812798077455183487364035650707229293534561747881523562553649]);
|
||||||
|
a = add(a, [cx, cy], BABYJUBJUB_PARAMS);
|
||||||
|
|
||||||
|
return edwardsCompress(a);
|
||||||
|
}
|
||||||
File diff suppressed because it is too large
Load Diff
|
|
@ -0,0 +1,62 @@
|
||||||
|
// https://eprint.iacr.org/2019/458.pdf
|
||||||
|
|
||||||
|
from "./constants.zok" import POSEIDON_C, POSEIDON_M;
|
||||||
|
|
||||||
|
def ark<N>(field[N] mut state, field[497] c, u32 it) -> field[N] {
|
||||||
|
for u32 i in 0..N {
|
||||||
|
state[i] = state[i] + c[it + i];
|
||||||
|
}
|
||||||
|
return state;
|
||||||
|
}
|
||||||
|
|
||||||
|
def sbox<N>(field[N] mut state, u32 f, u32 p, u32 r) -> field[N] {
|
||||||
|
state[0] = state[0]**5;
|
||||||
|
for u32 i in 1..N {
|
||||||
|
state[i] = ((r < f/2) || (r >= f/2 + p)) ? state[i]**5 : state[i];
|
||||||
|
}
|
||||||
|
return state;
|
||||||
|
}
|
||||||
|
|
||||||
|
def mix<N>(field[N] state, field[7][7] m) -> field[N] {
|
||||||
|
field[N] mut out = [0; N];
|
||||||
|
for u32 i in 0..N {
|
||||||
|
field mut acc = 0;
|
||||||
|
for u32 j in 0..N {
|
||||||
|
acc = acc + (state[j] * m[i][j]);
|
||||||
|
}
|
||||||
|
out[i] = acc;
|
||||||
|
}
|
||||||
|
return out;
|
||||||
|
}
|
||||||
|
|
||||||
|
def main<N>(field[N] inputs) -> field {
|
||||||
|
assert(N > 0 && N <= 6); // max 6 inputs
|
||||||
|
|
||||||
|
u32 t = N + 1;
|
||||||
|
u32[8] rounds_p = [56, 57, 56, 60, 60, 63, 64, 63];
|
||||||
|
|
||||||
|
u32 f = 8;
|
||||||
|
u32 p = rounds_p[(t - 2)];
|
||||||
|
|
||||||
|
// Constants are padded with zeroes to the maximum value calculated by
|
||||||
|
// t * (f + p) = 497, where `t` (number of inputs + 1) is a max of 7.
|
||||||
|
// This is done to keep the function generic, as resulting array size depends on `t`
|
||||||
|
// and we do not want callers passing down constants.
|
||||||
|
// This should be revisited once compiler limitations are gone.
|
||||||
|
|
||||||
|
field[497] c = POSEIDON_C[t - 2];
|
||||||
|
field[7][7] m = POSEIDON_M[t - 2];
|
||||||
|
|
||||||
|
field[t] mut state = [0; t];
|
||||||
|
for u32 i in 1..t {
|
||||||
|
state[i] = inputs[i - 1];
|
||||||
|
}
|
||||||
|
|
||||||
|
for u32 r in 0..f+p {
|
||||||
|
state = ark(state, c, r * t);
|
||||||
|
state = sbox(state, f, p, r);
|
||||||
|
state = mix(state, m);
|
||||||
|
}
|
||||||
|
|
||||||
|
return state[0];
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,10 @@
|
||||||
|
import "./sha256" as sha256;
|
||||||
|
|
||||||
|
// A function that takes 4 u32[8] arrays as inputs, concatenates them,
|
||||||
|
// and returns their sha256 compression as a u32[8].
|
||||||
|
// Note: no padding is applied
|
||||||
|
|
||||||
|
def main(u32[8] a, u32[8] b, u32[8] c, u32[8] d) -> u32[8] {
|
||||||
|
u32[8] res = sha256([[...a, ...b], [...c, ...d]]);
|
||||||
|
return res;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,33 @@
|
||||||
|
import "./1536bit" as sha256;
|
||||||
|
|
||||||
|
// A function that takes four u32[8] array as input, concatenates them, pads the result,
|
||||||
|
// and returns the sha256 output as a u32[8]
|
||||||
|
def main(u32[8] a, u32[8] b, u32[8] c, u32[8] d) -> u32[8] {
|
||||||
|
|
||||||
|
// Hash is computed on the full 1024bit block size
|
||||||
|
// padding does not fit in the first two blocks
|
||||||
|
// add dummy block (single "1" followed by "0" + total length)
|
||||||
|
u32[8] dummyblock1 = [ \
|
||||||
|
0x80000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000
|
||||||
|
];
|
||||||
|
|
||||||
|
u32[8] dummyblock2 = [ \
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000400
|
||||||
|
];
|
||||||
|
|
||||||
|
return sha256(a, b, c, d, dummyblock1, dummyblock2);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,10 @@
|
||||||
|
import "./sha256" as sha256;
|
||||||
|
|
||||||
|
// A function that takes 6 u32[8] arrays as inputs, concatenates them,
|
||||||
|
// and returns their sha256 compression as a u32[8].
|
||||||
|
// Note: no padding is applied
|
||||||
|
|
||||||
|
def main(u32[8] a, u32[8] b, u32[8] c, u32[8] d, u32[8] e, u32[8] f) -> u32[8] {
|
||||||
|
u32[8] res = sha256([[...a, ...b], [...c, ...d], [...e, ...f]]);
|
||||||
|
return res;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,22 @@
|
||||||
|
import "./512bit" as sha256;
|
||||||
|
|
||||||
|
// A function that takes a u32[8] array as input, pads it,
|
||||||
|
// and returns the sha256 output as a u32[8]
|
||||||
|
def main(u32[8] a) -> u32[8] {
|
||||||
|
|
||||||
|
// Hash is computed on 256 bits of input
|
||||||
|
// padding fits in the remaining 256 bits of the first block
|
||||||
|
// add dummy block (single "1" followed by "0" + total length)
|
||||||
|
u32[8] dummyblock1 = [ \
|
||||||
|
0x80000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000100
|
||||||
|
];
|
||||||
|
|
||||||
|
return sha256(a, dummyblock1);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,9 @@
|
||||||
|
import "./sha256" as sha256;
|
||||||
|
|
||||||
|
// A function that takes 2 u32[8] arrays as inputs, concatenates them,
|
||||||
|
// and returns their sha256 compression as a u32[8].
|
||||||
|
// Note: no padding is applied
|
||||||
|
|
||||||
|
def main(u32[8] a, u32[8] b) -> u32[8] {
|
||||||
|
return sha256([[...a, ...b]]);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,20 @@
|
||||||
|
import "../../utils/pack/u32/pack128" as pack128;
|
||||||
|
import "../../utils/pack/u32/unpack128" as unpack128;
|
||||||
|
import "./512bitPadded" as sha256;
|
||||||
|
|
||||||
|
// A function that takes an array of 4 field elements as input, unpacks each of them to 128
|
||||||
|
// bits (big endian), concatenates them and applies sha256.
|
||||||
|
// It then returns an array of two field elements, each representing 128 bits of the result.
|
||||||
|
def main(field[4] preimage) -> field[2] {
|
||||||
|
u32[4] a_bits = unpack128(preimage[0]);
|
||||||
|
u32[4] b_bits = unpack128(preimage[1]);
|
||||||
|
u32[4] c_bits = unpack128(preimage[2]);
|
||||||
|
u32[4] d_bits = unpack128(preimage[3]);
|
||||||
|
|
||||||
|
u32[8] lhs = [...a_bits, ...b_bits];
|
||||||
|
u32[8] rhs = [...c_bits, ...d_bits];
|
||||||
|
|
||||||
|
u32[8] r = sha256(lhs, rhs);
|
||||||
|
|
||||||
|
return [pack128(r[0..4]), pack128(r[4..8])];
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,33 @@
|
||||||
|
import "./1024bit" as sha256;
|
||||||
|
|
||||||
|
// A function that takes 2 u32[8] arrays as inputs, concatenates them, pads them,
|
||||||
|
// and returns their sha256 hash as a u32[8]
|
||||||
|
def main(u32[8] a, u32[8] b) -> u32[8] {
|
||||||
|
|
||||||
|
// Hash is computed on the full 512bit block size
|
||||||
|
// padding does not fit in the primary block
|
||||||
|
// add dummy block (single "1" followed by "0" + total length)
|
||||||
|
u32[8] dummyblock1 = [
|
||||||
|
0x80000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000
|
||||||
|
];
|
||||||
|
|
||||||
|
u32[8] dummyblock2 = [
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000000,
|
||||||
|
0x00000200
|
||||||
|
];
|
||||||
|
|
||||||
|
return sha256(a, b, dummyblock1, dummyblock2);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,14 @@
|
||||||
|
import "./IVconstants" as IVconstants;
|
||||||
|
import "./shaRoundNoBoolCheck" as sha256;
|
||||||
|
|
||||||
|
// A function that takes 4 bool[256] arrays as inputs
|
||||||
|
// and applies 2 rounds of sha256 compression.
|
||||||
|
// It returns an array of 256 bool.
|
||||||
|
def main(bool[256] a, bool[256] b, bool[256] c, bool[256] d) -> bool[256] {
|
||||||
|
|
||||||
|
bool[256] IV = IVconstants();
|
||||||
|
bool[256] digest1 = sha256(a, b, IV);
|
||||||
|
bool[256] digest2 = sha256(c, d, digest1);
|
||||||
|
|
||||||
|
return digest2;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,17 @@
|
||||||
|
import "./1536bit" as sha256;
|
||||||
|
|
||||||
|
// Take two bool[256] arrays as input
|
||||||
|
// and returns their sha256 full round output as an array of 256 bool.
|
||||||
|
def main(bool[256] a, bool[256] b, bool[256] c, bool[256] d) -> bool[256] {
|
||||||
|
|
||||||
|
// Hash is computed on the full 1024bit block size
|
||||||
|
// padding does not fit in the first two blocks
|
||||||
|
// add dummy block (single "1" followed by "0" + total length)
|
||||||
|
bool[256] dummyblock1 = [true, ...[false; 255]];
|
||||||
|
|
||||||
|
// Total length of message is 1024 bits: 0b10000000000
|
||||||
|
bool[256] dummyblock2 = [...[false; 245], true, ...[false; 10]];
|
||||||
|
|
||||||
|
bool[256] digest = sha256(a, b, c, d, dummyblock1, dummyblock2);
|
||||||
|
return digest;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,15 @@
|
||||||
|
import "./IVconstants" as IVconstants;
|
||||||
|
import "./shaRoundNoBoolCheck" as sha256;
|
||||||
|
|
||||||
|
// A function that takes 6 bool[256] arrays as inputs
|
||||||
|
// and applies 3 rounds of sha256 compression.
|
||||||
|
// It returns an array of 256 bool.
|
||||||
|
def main(bool[256] a, bool[256] b, bool[256] c, bool[256] d, bool[256] e, bool[256] f) -> bool[256] {
|
||||||
|
|
||||||
|
bool[256] IV = IVconstants();
|
||||||
|
bool[256] digest1 = sha256(a, b, IV);
|
||||||
|
bool[256] digest2 = sha256(c, d, digest1);
|
||||||
|
bool[256] digest3 = sha256(e, f, digest2);
|
||||||
|
|
||||||
|
return digest3;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,14 @@
|
||||||
|
import "./512bit" as sha256;
|
||||||
|
|
||||||
|
// A function that takes 1 bool[256] array as input
|
||||||
|
// and returns the sha256 full round output as an array of 256 bool.
|
||||||
|
def main(bool[256] a) -> bool[256] {
|
||||||
|
|
||||||
|
// Hash is computed on 256 bits of input
|
||||||
|
// padding fits in the remaining 256 bits of the first block
|
||||||
|
// add dummy block (single "true" followed by "false" + total length)
|
||||||
|
bool[256] dummyblock1 = [true, ...[false; 246], true, ...[false; 8]];
|
||||||
|
|
||||||
|
bool[256] digest = sha256(a, dummyblock1);
|
||||||
|
return digest;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,11 @@
|
||||||
|
import "./IVconstants" as IVconstants;
|
||||||
|
import "./shaRoundNoBoolCheck" as sha256;
|
||||||
|
|
||||||
|
// A function that takes 2 bool[256] arrays as inputs
|
||||||
|
// and returns their sha256 compression function as an array of 256 bool.
|
||||||
|
// No padding is being applied
|
||||||
|
def main(bool[256] a, bool[256] b) -> bool[256] {
|
||||||
|
bool[256] IV = IVconstants();
|
||||||
|
bool[256] digest = sha256(a, b, IV);
|
||||||
|
return digest;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,24 @@
|
||||||
|
import "../../../utils/pack/bool/pack128" as pack128;
|
||||||
|
import "../../../utils/pack/bool/unpack128" as unpack128;
|
||||||
|
import "./512bitPadded" as sha256;
|
||||||
|
|
||||||
|
// A function that takes an array of 4 field elements as inputs, unpacks each of them to 128
|
||||||
|
// bits (big endian), concatenates them and applies sha256.
|
||||||
|
// It then returns an array of two field elements, each representing 128 bits of the result.
|
||||||
|
def main(field[4] preimage) -> field[2] {
|
||||||
|
|
||||||
|
bool[128] a = unpack128(preimage[0]);
|
||||||
|
bool[128] b = unpack128(preimage[1]);
|
||||||
|
bool[128] c = unpack128(preimage[2]);
|
||||||
|
bool[128] d = unpack128(preimage[3]);
|
||||||
|
|
||||||
|
bool[256] lhs = [...a, ...b];
|
||||||
|
bool[256] rhs = [...c, ...d];
|
||||||
|
|
||||||
|
bool[256] r = sha256(lhs, rhs);
|
||||||
|
|
||||||
|
field res0 = pack128(r[..128]);
|
||||||
|
field res1 = pack128(r[128..]);
|
||||||
|
|
||||||
|
return [res0, res1];
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,17 @@
|
||||||
|
import "./1024bit" as sha256;
|
||||||
|
|
||||||
|
// A function that takes 2 bool[256] arrays as inputs
|
||||||
|
// and returns their sha256 full round output as an array of 256 bool.
|
||||||
|
def main(bool[256] a, bool[256] b) -> bool[256] {
|
||||||
|
|
||||||
|
// Hash is computed on the full 512bit block size
|
||||||
|
// padding does not fit in the primary block
|
||||||
|
// add dummy block (single "1" followed by "0" + total length)
|
||||||
|
bool[256] dummyblock1 = [true, ...[false; 255]];
|
||||||
|
|
||||||
|
// Total length of message is 512 bits: 0b1000000000
|
||||||
|
bool[256] dummyblock2 = [...[false; 246], true, ...[false; 9]];
|
||||||
|
|
||||||
|
bool[256] digest = sha256(a, b, dummyblock1, dummyblock2);
|
||||||
|
return digest;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,15 @@
|
||||||
|
// SHA-256 is specified in FIPS 180-3 and initial values are listed in section 5.3.3
|
||||||
|
// https://csrc.nist.gov/csrc/media/publications/fips/180/3/archive/2008-10-31/documents/fips180-3_final.pdf
|
||||||
|
def main() -> bool[256] {
|
||||||
|
bool[32] h0 = [false, true, true, false, true, false, true, false, false, false, false, false, true, false, false, true, true, true, true, false, false, true, true, false, false, true, true, false, false, true, true, true];
|
||||||
|
bool[32] h1 = [true, false, true, true, true, false, true, true, false, true, true, false, false, true, true, true, true, false, true, false, true, true, true, false, true, false, false, false, false, true, false, true];
|
||||||
|
bool[32] h2 = [false, false, true, true, true, true, false, false, false, true, true, false, true, true, true, false, true, true, true, true, false, false, true, true, false, true, true, true, false, false, true, false];
|
||||||
|
bool[32] h3 = [true, false, true, false, false, true, false, true, false, true, false, false, true, true, true, true, true, true, true, true, false, true, false, true, false, false, true, true, true, false, true, false];
|
||||||
|
bool[32] h4 = [false, true, false, true, false, false, false, true, false, false, false, false, true, true, true, false, false, true, false, true, false, false, true, false, false, true, true, true, true, true, true, true];
|
||||||
|
bool[32] h5 = [true, false, false, true, true, false, true, true, false, false, false, false, false, true, false, true, false, true, true, false, true, false, false, false, true, false, false, false, true, true, false, false];
|
||||||
|
bool[32] h6 = [false, false, false, true, true, true, true, true, true, false, false, false, false, false, true, true, true, true, false, true, true, false, false, true, true, false, true, false, true, false, true, true];
|
||||||
|
bool[32] h7 = [false, true, false, true, true, false, true, true, true, true, true, false, false, false, false, false, true, true, false, false, true, true, false, true, false, false, false, true, true, false, false, true];
|
||||||
|
|
||||||
|
bool[256] IV = [...h0, ...h1, ...h2, ...h3, ...h4, ...h5, ...h6, ...h7];
|
||||||
|
return IV;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,10 @@
|
||||||
|
#pragma curve bn128
|
||||||
|
|
||||||
|
from "EMBED" import sha256round;
|
||||||
|
|
||||||
|
// a and b is NOT checked to be 0 or 1
|
||||||
|
// the return value is checked to be 0 or 1
|
||||||
|
// IV vector is checked to be of type bool
|
||||||
|
def main(bool[256] a, bool[256] b, bool[256] IV) -> bool[256] {
|
||||||
|
return sha256round([...a, ...b], IV);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,21 @@
|
||||||
|
import "./shaRound" as shaRound;
|
||||||
|
|
||||||
|
// Initial values, FIPS 180-3, section 5.3.3
|
||||||
|
// https://csrc.nist.gov/csrc/media/publications/fips/180/3/archive/2008-10-31/documents/fips180-3_final.pdf
|
||||||
|
const u32[8] IV = [
|
||||||
|
0x6a09e667, 0xbb67ae85, 0x3c6ef372, 0xa54ff53a,
|
||||||
|
0x510e527f, 0x9b05688c, 0x1f83d9ab, 0x5be0cd19
|
||||||
|
];
|
||||||
|
|
||||||
|
// A function that takes N u32[16] arrays as inputs, concatenates them,
|
||||||
|
// and returns their sha256 compression as a u32[8].
|
||||||
|
// Note: no padding is applied
|
||||||
|
def main<N>(u32[N][16] a) -> u32[8] {
|
||||||
|
u32[8] mut current = IV;
|
||||||
|
|
||||||
|
for u32 i in 0..N {
|
||||||
|
current = shaRound(a[i], current);
|
||||||
|
}
|
||||||
|
|
||||||
|
return current;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,48 @@
|
||||||
|
import "hashes/sha256/sha256";
|
||||||
|
import "utils/casts/u8_to_bits";
|
||||||
|
import "utils/casts/u32_to_bits";
|
||||||
|
import "utils/casts/u32_from_bits";
|
||||||
|
|
||||||
|
// A padding function that takes a bool[L] array as input and pads it to 512-bit blocks
|
||||||
|
def pad<L, M>(bool[L] m) -> u32[M][16] {
|
||||||
|
u32 length = L + 64 + 1;
|
||||||
|
assert(length / 512 + 1 == M);
|
||||||
|
|
||||||
|
u32 r = length % 512;
|
||||||
|
u32 k = 512 - r;
|
||||||
|
bool[M * 512] result_in_bits = [...m, true, ...[false; k + 32], ...u32_to_bits(L)];
|
||||||
|
u32[M][16] mut result = [[0; 16]; M];
|
||||||
|
|
||||||
|
for u32 i in 0..M {
|
||||||
|
for u32 j in 0..16 {
|
||||||
|
u32 start = i * 512 + j * 32;
|
||||||
|
u32 end = start + 32;
|
||||||
|
result[i][j] = u32_from_bits(result_in_bits[start..end]);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return result;
|
||||||
|
}
|
||||||
|
|
||||||
|
// A function that takes a bool[N] array as input, pads it,
|
||||||
|
// and returns the sha256 output as a u32[8]
|
||||||
|
def sha256Padded<N>(bool[N] input) -> u32[8] {
|
||||||
|
u32 block_count = (N + 64 + 1) / 512 + 1;
|
||||||
|
u32[block_count][16] padded = pad(input);
|
||||||
|
return sha256(padded);
|
||||||
|
}
|
||||||
|
|
||||||
|
// A function that takes a u8[N] array as input, pads it,
|
||||||
|
// and returns the sha256 output as a u32[8]
|
||||||
|
def main<N>(u8[N] input) -> u32[8] {
|
||||||
|
u32 L = N * 8;
|
||||||
|
bool[L] mut input_bits = [false; L];
|
||||||
|
|
||||||
|
for u32 i in 0..N {
|
||||||
|
bool[8] bits = u8_to_bits(input[i]);
|
||||||
|
for u32 j in 0..8 {
|
||||||
|
input_bits[i * 8 + j] = bits[j];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
return sha256Padded(input_bits);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,98 @@
|
||||||
|
// FIPS 180-3, section 4.2.2
|
||||||
|
// https://csrc.nist.gov/csrc/media/publications/fips/180/3/archive/2008-10-31/documents/fips180-3_final.pdf
|
||||||
|
const u32[64] K = [
|
||||||
|
0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5, 0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5,
|
||||||
|
0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3, 0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174,
|
||||||
|
0xe49b69c1, 0xefbe4786, 0x0fc19dc6, 0x240ca1cc, 0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da,
|
||||||
|
0x983e5152, 0xa831c66d, 0xb00327c8, 0xbf597fc7, 0xc6e00bf3, 0xd5a79147, 0x06ca6351, 0x14292967,
|
||||||
|
0x27b70a85, 0x2e1b2138, 0x4d2c6dfc, 0x53380d13, 0x650a7354, 0x766a0abb, 0x81c2c92e, 0x92722c85,
|
||||||
|
0xa2bfe8a1, 0xa81a664b, 0xc24b8b70, 0xc76c51a3, 0xd192e819, 0xd6990624, 0xf40e3585, 0x106aa070,
|
||||||
|
0x19a4c116, 0x1e376c08, 0x2748774c, 0x34b0bcb5, 0x391c0cb3, 0x4ed8aa4a, 0x5b9cca4f, 0x682e6ff3,
|
||||||
|
0x748f82ee, 0x78a5636f, 0x84c87814, 0x8cc70208, 0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2
|
||||||
|
];
|
||||||
|
|
||||||
|
def rotr32<N>(u32 x) -> u32 {
|
||||||
|
return (x >> N) | (x << (32 - N));
|
||||||
|
}
|
||||||
|
|
||||||
|
def extend(u32[64] w, u32 i) -> u32 {
|
||||||
|
u32 s0 = rotr32::<7>(w[i-15]) ^ rotr32::<18>(w[i-15]) ^ (w[i-15] >> 3);
|
||||||
|
u32 s1 = rotr32::<17>(w[i-2]) ^ rotr32::<19>(w[i-2]) ^ (w[i-2] >> 10);
|
||||||
|
return w[i-16] + s0 + w[i-7] + s1;
|
||||||
|
}
|
||||||
|
|
||||||
|
def temp1(u32 e, u32 f, u32 g, u32 h, u32 k, u32 w) -> u32 {
|
||||||
|
// ch := (e and f) xor ((not e) and g)
|
||||||
|
u32 ch = (e & f) ^ ((!e) & g);
|
||||||
|
|
||||||
|
// S1 := (e rightrotate 6) xor (e rightrotate 11) xor (e rightrotate 25)
|
||||||
|
u32 S1 = rotr32::<6>(e) ^ rotr32::<11>(e) ^ rotr32::<25>(e);
|
||||||
|
|
||||||
|
// temp1 := h + S1 + ch + k + w
|
||||||
|
return h + S1 + ch + k + w;
|
||||||
|
}
|
||||||
|
|
||||||
|
def temp2(u32 a, u32 b, u32 c) -> u32 {
|
||||||
|
// maj := (a and b) xor (a and c) xor (b and c)
|
||||||
|
u32 maj = (a & b) ^ (a & c) ^ (b & c);
|
||||||
|
|
||||||
|
// S0 := (a rightrotate 2) xor (a rightrotate 13) xor (a rightrotate 22)
|
||||||
|
u32 S0 = rotr32::<2>(a) ^ rotr32::<13>(a) ^ rotr32::<22>(a);
|
||||||
|
|
||||||
|
// temp2 := S0 + maj
|
||||||
|
return S0 + maj;
|
||||||
|
}
|
||||||
|
|
||||||
|
// A function that computes one round of the SHA256 compression function given an input and the current value of the hash
|
||||||
|
// this is used by other components however many times needed
|
||||||
|
def main(u32[16] input, u32[8] current) -> u32[8] {
|
||||||
|
u32 mut h0 = current[0];
|
||||||
|
u32 mut h1 = current[1];
|
||||||
|
u32 mut h2 = current[2];
|
||||||
|
u32 mut h3 = current[3];
|
||||||
|
u32 mut h4 = current[4];
|
||||||
|
u32 mut h5 = current[5];
|
||||||
|
u32 mut h6 = current[6];
|
||||||
|
u32 mut h7 = current[7];
|
||||||
|
|
||||||
|
u32[64] mut w = [...input, ...[0u32; 48]];
|
||||||
|
|
||||||
|
for u32 i in 16..64 {
|
||||||
|
w[i] = extend(w, i);
|
||||||
|
}
|
||||||
|
|
||||||
|
u32 mut a = h0;
|
||||||
|
u32 mut b = h1;
|
||||||
|
u32 mut c = h2;
|
||||||
|
u32 mut d = h3;
|
||||||
|
u32 mut e = h4;
|
||||||
|
u32 mut f = h5;
|
||||||
|
u32 mut g = h6;
|
||||||
|
u32 mut h = h7;
|
||||||
|
|
||||||
|
for u32 i in 0..64 {
|
||||||
|
u32 t1 = temp1(e, f, g, h, K[i], w[i]);
|
||||||
|
u32 t2 = temp2(a, b, c);
|
||||||
|
|
||||||
|
h = g;
|
||||||
|
g = f;
|
||||||
|
f = e;
|
||||||
|
e = d + t1;
|
||||||
|
d = c;
|
||||||
|
c = b;
|
||||||
|
b = a;
|
||||||
|
a = t1 + t2;
|
||||||
|
}
|
||||||
|
|
||||||
|
h0 = h0 + a;
|
||||||
|
h1 = h1 + b;
|
||||||
|
h2 = h2 + c;
|
||||||
|
h3 = h3 + d;
|
||||||
|
h4 = h4 + e;
|
||||||
|
h5 = h5 + f;
|
||||||
|
h6 = h6 + g;
|
||||||
|
h7 = h7 + h;
|
||||||
|
|
||||||
|
return [h0, h1, h2, h3, h4, h5, h6, h7];
|
||||||
|
}
|
||||||
|
|
||||||
|
|
@ -0,0 +1,5 @@
|
||||||
|
from "hashes/keccak/keccak" import main as keccak;
|
||||||
|
|
||||||
|
def main<N>(u8[N] input) -> u8[28] {
|
||||||
|
return keccak::<_, 28>(input, 0x06);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,5 @@
|
||||||
|
from "hashes/keccak/keccak" import main as keccak;
|
||||||
|
|
||||||
|
def main<N>(u8[N] input) -> u8[32] {
|
||||||
|
return keccak::<_, 32>(input, 0x06);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,5 @@
|
||||||
|
from "hashes/keccak/keccak" import main as keccak;
|
||||||
|
|
||||||
|
def main<N>(u8[N] input) -> u8[48] {
|
||||||
|
return keccak::<_, 48>(input, 0x06);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,5 @@
|
||||||
|
from "hashes/keccak/keccak" import main as keccak;
|
||||||
|
|
||||||
|
def main<N>(u8[N] input) -> u8[64] {
|
||||||
|
return keccak::<_, 64>(input, 0x06);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,4 @@
|
||||||
|
// Concatenate two u32[8] arrays in an order defined by a boolean selector
|
||||||
|
def main(bool selector, u32[8] lhs, u32[8] rhs) -> u32[16] {
|
||||||
|
return selector ? [...rhs, ...lhs] : [...lhs, ...rhs];
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,51 @@
|
||||||
|
import "hashes/sha256/1024bitPadded" as sha256;
|
||||||
|
import "ecc/edwardsScalarMult" as scalarMult;
|
||||||
|
import "ecc/edwardsAdd" as add;
|
||||||
|
import "utils/pack/bool/nonStrictUnpack256" as unpack256bool;
|
||||||
|
import "utils/pack/u32/nonStrictUnpack256" as unpack256u;
|
||||||
|
import "ecc/edwardsOnCurve" as onCurve;
|
||||||
|
import "ecc/edwardsOrderCheck" as orderCheck;
|
||||||
|
from "ecc/babyjubjubParams" import BabyJubJubParams;
|
||||||
|
import "utils/casts/u32_8_to_bool_256";
|
||||||
|
|
||||||
|
/// Verifies an EdDSA Signature.
|
||||||
|
///
|
||||||
|
/// Checks the correctness of a given EdDSA Signature (R,S) for the provided
|
||||||
|
/// public key A and message (M0, M1).
|
||||||
|
/// This python repo provides the tooling for creating valid signatures:
|
||||||
|
/// https://github.com/Zokrates/pycrypto
|
||||||
|
///
|
||||||
|
/// For more information see:
|
||||||
|
/// https://en.wikipedia.org/wiki/EdDSA
|
||||||
|
/// https://eprint.iacr.org/2015/677.pdf
|
||||||
|
///
|
||||||
|
/// Arguments:
|
||||||
|
/// R: Curve point. Hidden version of the per-message nonce.
|
||||||
|
/// S: Field element. Signature to be verified.
|
||||||
|
/// A: Curve point. Public part of the key used to create S.
|
||||||
|
/// M0: 256bit array. First 256bits of the message used to create S .
|
||||||
|
/// M1: 256bit array. Trailing 256bits of the message used to create S .
|
||||||
|
/// context: Curve parameters used to create S.
|
||||||
|
///
|
||||||
|
/// Returns:
|
||||||
|
/// Return true for S being a valid EdDSA Signature, false otherwise.
|
||||||
|
def main(field[2] R, field S, field[2] A, u32[8] M0, u32[8] M1, BabyJubJubParams context) -> bool {
|
||||||
|
field[2] G = [context.Gu, context.Gv];
|
||||||
|
|
||||||
|
// Check if R is on curve and if it is not in a small subgroup. A is public input and can be checked offline
|
||||||
|
assert(onCurve(R, context)); // throws if R is not on curve
|
||||||
|
assert(orderCheck(R, context));
|
||||||
|
|
||||||
|
u32[8] Rx = unpack256u(R[0]);
|
||||||
|
u32[8] Ax = unpack256u(A[0]);
|
||||||
|
bool[256] hRAM = u32_8_to_bool_256(sha256(Rx, Ax, M0, M1));
|
||||||
|
|
||||||
|
bool[256] sBits = unpack256bool(S);
|
||||||
|
field[2] lhs = scalarMult(sBits, G, context);
|
||||||
|
|
||||||
|
field[2] AhRAM = scalarMult(hRAM, A, context);
|
||||||
|
field[2] rhs = add(R, AhRAM, context);
|
||||||
|
|
||||||
|
bool out = rhs[0] == lhs[0] && rhs[1] == lhs[1];
|
||||||
|
return out;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,56 @@
|
||||||
|
#pragma curve bw6_761
|
||||||
|
|
||||||
|
from "EMBED" import snark_verify_bls12_377 as verify;
|
||||||
|
|
||||||
|
struct ProofInner {
|
||||||
|
field[2] a;
|
||||||
|
field[2][2] b;
|
||||||
|
field[2] c;
|
||||||
|
}
|
||||||
|
|
||||||
|
struct Proof<N> {
|
||||||
|
ProofInner proof;
|
||||||
|
field[N] inputs;
|
||||||
|
}
|
||||||
|
|
||||||
|
struct VerificationKey<N> {
|
||||||
|
field[2][2] h;
|
||||||
|
field[2] g_alpha;
|
||||||
|
field[2][2] h_beta;
|
||||||
|
field[2] g_gamma;
|
||||||
|
field[2][2] h_gamma;
|
||||||
|
field[N][2] query; // input length + 1
|
||||||
|
}
|
||||||
|
|
||||||
|
def flat<N, F>(field[N][2] input) -> field[F] {
|
||||||
|
assert(F == N * 2);
|
||||||
|
field[F] mut out = [0; F];
|
||||||
|
for u32 i in 0..N {
|
||||||
|
for u32 j in 0..2 {
|
||||||
|
out[(i * 2) + j] = input[i][j];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return out;
|
||||||
|
}
|
||||||
|
|
||||||
|
def main<N, Q>(Proof<N> proof, VerificationKey<Q> vk) -> bool {
|
||||||
|
assert(Q == N + 1); // query length (Q) should be N + 1
|
||||||
|
field[8] flat_proof = [
|
||||||
|
...proof.proof.a,
|
||||||
|
...flat::<2, 4>(proof.proof.b),
|
||||||
|
...proof.proof.c
|
||||||
|
];
|
||||||
|
|
||||||
|
u32 two_Q = 2 * Q;
|
||||||
|
|
||||||
|
field[16 + (2 * Q)] flat_vk = [
|
||||||
|
...flat::<2, 4>(vk.h),
|
||||||
|
...vk.g_alpha,
|
||||||
|
...flat::<2, 4>(vk.h_beta),
|
||||||
|
...vk.g_gamma,
|
||||||
|
...flat::<2, 4>(vk.h_gamma),
|
||||||
|
...flat::<Q, two_Q>(vk.query)
|
||||||
|
];
|
||||||
|
|
||||||
|
return verify(proof.inputs, flat_proof, flat_vk);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,532 @@
|
||||||
|
from "EMBED" import u64_to_bits, u32_to_bits, u16_to_bits, u8_to_bits, u8_from_bits, u16_from_bits, u32_from_bits, u64_from_bits;
|
||||||
|
|
||||||
|
// Cast a boolean array of size 8 to an 8-bit unsigned integer (u8)
|
||||||
|
def cast(bool[8] input) -> u8 {
|
||||||
|
return u8_from_bits(input);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a boolean array of size N to an array of 8-bit unsigned integers (u8) of size P
|
||||||
|
// The following condition must be true `N == 8 * P`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(bool[N] input) -> u8[P] {
|
||||||
|
assert(N == 8 * P);
|
||||||
|
u8[P] mut r = [0; P];
|
||||||
|
for u32 i in 0..P {
|
||||||
|
r[i] = u8_from_bits(input[i * 8..(i + 1) * 8]);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a boolean array of size 16 to a 16-bit unsigned integer (u16)
|
||||||
|
def cast(bool[16] input) -> u16 {
|
||||||
|
return u16_from_bits(input);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a boolean array of size N to an array of 16-bit unsigned integers (u16) of size P
|
||||||
|
// The following condition must be true `N == 16 * P`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(bool[N] input) -> u16[P] {
|
||||||
|
assert(N == 16 * P);
|
||||||
|
u16[P] mut r = [0; P];
|
||||||
|
for u32 i in 0..P {
|
||||||
|
r[i] = u16_from_bits(input[i * 16..(i + 1) * 16]);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a boolean array of size 32 to a 32-bit unsigned integer (u32)
|
||||||
|
def cast(bool[32] input) -> u32 {
|
||||||
|
return u32_from_bits(input);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a boolean array of size N to an array of 32-bit unsigned integers (u32) of size P
|
||||||
|
// The following condition must be true `N == 32 * P`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(bool[N] input) -> u32[P] {
|
||||||
|
assert(N == 32 * P);
|
||||||
|
u32[P] mut r = [0; P];
|
||||||
|
for u32 i in 0..P {
|
||||||
|
r[i] = u32_from_bits(input[i * 32..(i + 1) * 32]);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a boolean array of size 64 to a 64-bit unsigned integer (u64)
|
||||||
|
def cast(bool[64] input) -> u64 {
|
||||||
|
return u64_from_bits(input);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a boolean array of size N to an array of 64-bit unsigned integers (u64) of size P
|
||||||
|
// The following condition must be true `N == 64 * P`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(bool[N] input) -> u64[P] {
|
||||||
|
assert(N == 64 * P);
|
||||||
|
u64[P] mut r = [0; P];
|
||||||
|
for u32 i in 0..P {
|
||||||
|
r[i] = u64_from_bits(input[i * 64..(i + 1) * 64]);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an 8-bit unsigned integer (u8) to a boolean array of size 8 (bool[8])
|
||||||
|
def cast(u8 input) -> bool[8] {
|
||||||
|
return u8_to_bits(input);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 8-bit unsigned integers (u8) of size N to a boolean array of size P
|
||||||
|
// The following condition must be true `P == 8 * N`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(u8[N] input) -> bool[P] {
|
||||||
|
assert(P == 8 * N);
|
||||||
|
bool[P] mut r = [false; P];
|
||||||
|
for u32 i in 0..N {
|
||||||
|
bool[8] bits = u8_to_bits(input[i]);
|
||||||
|
for u32 j in 0..8 {
|
||||||
|
r[i * 8 + j] = bits[j];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an 8-bit unsigned integer (u8) to a field element
|
||||||
|
def cast(u8 input) -> field {
|
||||||
|
bool[8] bits = u8_to_bits(input);
|
||||||
|
field mut r = 0;
|
||||||
|
for u32 i in 0..8 {
|
||||||
|
u32 exponent = 8 - i - 1;
|
||||||
|
r = r + (bits[i] ? 2 ** exponent : 0);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 8-bit unsigned integers (u8) to an array of field elements
|
||||||
|
def cast<N>(u8[N] input) -> field[N] {
|
||||||
|
field[N] mut r = [0; N];
|
||||||
|
for u32 i in 0..N {
|
||||||
|
r[i] = cast(input[i]);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Upcast an 8-bit unsigned integer (u8) to a 16-bit unsigned integer (u16)
|
||||||
|
def cast(u8 input) -> u16 {
|
||||||
|
bool[8] bits = u8_to_bits(input);
|
||||||
|
return u16_from_bits([...[false; 8], ...bits]);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of two 8-bit unsigned integers (u8[2]) to a 16-bit unsigned integer (u16)
|
||||||
|
def cast(u8[2] input) -> u16 {
|
||||||
|
bool[16] bits = [
|
||||||
|
...u8_to_bits(input[0]),
|
||||||
|
...u8_to_bits(input[1])
|
||||||
|
];
|
||||||
|
return u16_from_bits(bits);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 8-bit unsigned integers (u8) of size N to an array of 16-bit unsigned integers (u16) of size P
|
||||||
|
// The following condition must be true `N == 2 * P`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(u8[N] input) -> u16[P] {
|
||||||
|
assert(N == 2 * P);
|
||||||
|
u16[P] mut r = [0; P];
|
||||||
|
for u32 i in 0..P {
|
||||||
|
r[i] = cast(input[i * 2..(i + 1) * 2]);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Upcast an 8-bit unsigned integer (u8) to a 32-bit unsigned integer (u32)
|
||||||
|
def cast(u8 input) -> u32 {
|
||||||
|
bool[8] bits = u8_to_bits(input);
|
||||||
|
return u32_from_bits([...[false; 24], ...bits]);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of four 8-bit unsigned integers (u8[4]) to a 32-bit unsigned integer (u32)
|
||||||
|
def cast(u8[4] input) -> u32 {
|
||||||
|
bool[32] bits = [
|
||||||
|
...u8_to_bits(input[0]),
|
||||||
|
...u8_to_bits(input[1]),
|
||||||
|
...u8_to_bits(input[2]),
|
||||||
|
...u8_to_bits(input[3])
|
||||||
|
];
|
||||||
|
return u32_from_bits(bits);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 8-bit unsigned integers (u8) of size N to an array of 32-bit unsigned integers (u32) of size P
|
||||||
|
// The following condition must be true `N == 4 * P`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(u8[N] input) -> u32[P] {
|
||||||
|
assert(N == 4 * P);
|
||||||
|
u32[P] mut r = [0; P];
|
||||||
|
for u32 i in 0..P {
|
||||||
|
r[i] = cast(input[i * 4..(i + 1) * 4]);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Upcast an 8-bit unsigned integer (u8) to a 64-bit unsigned integer (u64)
|
||||||
|
def cast(u8 input) -> u64 {
|
||||||
|
bool[8] bits = u8_to_bits(input);
|
||||||
|
return u64_from_bits([...[false; 56], ...bits]);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of eight 8-bit unsigned integers (u8[8]) to a 64-bit unsigned integer (u64)
|
||||||
|
def cast(u8[8] input) -> u64 {
|
||||||
|
bool[64] bits = [
|
||||||
|
...u8_to_bits(input[0]),
|
||||||
|
...u8_to_bits(input[1]),
|
||||||
|
...u8_to_bits(input[2]),
|
||||||
|
...u8_to_bits(input[3]),
|
||||||
|
...u8_to_bits(input[4]),
|
||||||
|
...u8_to_bits(input[5]),
|
||||||
|
...u8_to_bits(input[6]),
|
||||||
|
...u8_to_bits(input[7])
|
||||||
|
];
|
||||||
|
return u64_from_bits(bits);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 8-bit unsigned integers (u8) of size N to an array of 64-bit unsigned integers (u64) of size P
|
||||||
|
// The following condition must be true `N == 8 * P`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(u8[N] input) -> u64[P] {
|
||||||
|
assert(N == 8 * P);
|
||||||
|
u64[P] mut r = [0; P];
|
||||||
|
for u32 i in 0..P {
|
||||||
|
r[i] = cast(input[i * 8..(i + 1) * 8]);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a 16-bit unsigned integer (u16) to a boolean array of size 16 (bool[16])
|
||||||
|
def cast(u16 input) -> bool[16] {
|
||||||
|
return u16_to_bits(input);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 16-bit unsigned integers (u16) of size N to a boolean array of size P
|
||||||
|
// The following condition must be true `P == 16 * N`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(u16[N] input) -> bool[P] {
|
||||||
|
assert(P == 16 * N);
|
||||||
|
bool[P] mut r = [false; P];
|
||||||
|
for u32 i in 0..N {
|
||||||
|
bool[16] bits = u16_to_bits(input[i]);
|
||||||
|
for u32 j in 0..16 {
|
||||||
|
r[i * 16 + j] = bits[j];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a 16-bit unsigned integer (u16) to a field element
|
||||||
|
def cast(u16 input) -> field {
|
||||||
|
bool[16] bits = u16_to_bits(input);
|
||||||
|
field mut r = 0;
|
||||||
|
for u32 i in 0..16 {
|
||||||
|
u32 exponent = 16 - i - 1;
|
||||||
|
r = r + (bits[i] ? 2 ** exponent : 0);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 16-bit unsigned integers (u16) to an array of field elements
|
||||||
|
def cast<N>(u16[N] input) -> field[N] {
|
||||||
|
field[N] mut r = [0; N];
|
||||||
|
for u32 i in 0..N {
|
||||||
|
r[i] = cast(input[i]);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a 16-bit unsigned integer (u16) to an array of two 8-bit unsigned integers (u8[2])
|
||||||
|
def cast(u16 input) -> u8[2] {
|
||||||
|
bool[16] bits = u16_to_bits(input);
|
||||||
|
return [
|
||||||
|
u8_from_bits(bits[0..8]),
|
||||||
|
u8_from_bits(bits[8..16])
|
||||||
|
];
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 16-bit unsigned integers (u16) of size N to an array of 8-bit unsigned integers of size P
|
||||||
|
// The following condition must be true `P == 2 * N`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(u16[N] input) -> u8[P] {
|
||||||
|
assert(P == 2 * N);
|
||||||
|
u8[P] mut r = [0; P];
|
||||||
|
for u32 i in 0..N {
|
||||||
|
u8[2] t = cast(input[i]);
|
||||||
|
r[i * 2] = t[0];
|
||||||
|
r[i * 2 + 1] = t[1];
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Upcast a 16-bit unsigned integer (u16) to a 32-bit unsigned integer (u32)
|
||||||
|
def cast(u16 input) -> u32 {
|
||||||
|
bool[16] bits = u16_to_bits(input);
|
||||||
|
return u32_from_bits([...[false; 16], ...bits]);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of two 16-bit unsigned integers (u16[2]) to a 32-bit unsigned integer (u32)
|
||||||
|
def cast(u16[2] input) -> u32 {
|
||||||
|
bool[32] bits = [
|
||||||
|
...u16_to_bits(input[0]),
|
||||||
|
...u16_to_bits(input[1])
|
||||||
|
];
|
||||||
|
return u32_from_bits(bits);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 16-bit unsigned integers (u16) of size N to an array of 32-bit unsigned integers (u32) of size P
|
||||||
|
// The following condition must be true `N == 2 * P`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(u16[N] input) -> u32[P] {
|
||||||
|
assert(N == 2 * P);
|
||||||
|
u32[P] mut r = [0; P];
|
||||||
|
for u32 i in 0..P {
|
||||||
|
r[i] = cast(input[i * 2..(i + 1) * 2]);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Upcast a 16-bit unsigned integer (u16) to a 64-bit unsigned integer (u64)
|
||||||
|
def cast(u16 input) -> u64 {
|
||||||
|
bool[16] bits = u16_to_bits(input);
|
||||||
|
return u64_from_bits([...[false; 48], ...bits]);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of four 16-bit unsigned integers (u16[4]) to a 64-bit unsigned integer (u64)
|
||||||
|
def cast(u16[4] input) -> u64 {
|
||||||
|
bool[64] bits = [
|
||||||
|
...u16_to_bits(input[0]),
|
||||||
|
...u16_to_bits(input[1]),
|
||||||
|
...u16_to_bits(input[2]),
|
||||||
|
...u16_to_bits(input[3])
|
||||||
|
];
|
||||||
|
return u64_from_bits(bits);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 16-bit unsigned integers (u16) of size N to an array of 64-bit unsigned integers (u64) of size P
|
||||||
|
// The following condition must be true `N == 4 * P`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(u16[N] input) -> u64[P] {
|
||||||
|
assert(N == 4 * P);
|
||||||
|
u64[P] mut r = [0; P];
|
||||||
|
for u32 i in 0..P {
|
||||||
|
r[i] = cast(input[i * 4..(i + 1) * 4]);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a 32-bit unsigned integer (u32) to a boolean array of size 32 (bool[32])
|
||||||
|
def cast(u32 input) -> bool[32] {
|
||||||
|
return u32_to_bits(input);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 32-bit unsigned integers (u32) of size N to a boolean array of size P
|
||||||
|
// The following condition must be true `P == 32 * N`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(u32[N] input) -> bool[P] {
|
||||||
|
assert(P == 32 * N);
|
||||||
|
bool[P] mut r = [false; P];
|
||||||
|
for u32 i in 0..N {
|
||||||
|
bool[32] bits = u32_to_bits(input[i]);
|
||||||
|
for u32 j in 0..32 {
|
||||||
|
r[i * 32 + j] = bits[j];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a 32-bit unsigned integer (u32) to a field element
|
||||||
|
def cast(u32 input) -> field {
|
||||||
|
bool[32] bits = u32_to_bits(input);
|
||||||
|
field mut r = 0;
|
||||||
|
for u32 i in 0..32 {
|
||||||
|
u32 exponent = 32 - i - 1;
|
||||||
|
r = r + (bits[i] ? 2 ** exponent : 0);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 32-bit unsigned integers (u32) to an array of field elements
|
||||||
|
def cast<N>(u32[N] input) -> field[N] {
|
||||||
|
field[N] mut r = [0; N];
|
||||||
|
for u32 i in 0..N {
|
||||||
|
r[i] = cast(input[i]);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a 32-bit unsigned integer (u32) to an array of four 8-bit unsigned integers (u8[4])
|
||||||
|
def cast(u32 input) -> u8[4] {
|
||||||
|
bool[32] bits = u32_to_bits(input);
|
||||||
|
return [
|
||||||
|
u8_from_bits(bits[0..8]),
|
||||||
|
u8_from_bits(bits[8..16]),
|
||||||
|
u8_from_bits(bits[16..24]),
|
||||||
|
u8_from_bits(bits[24..32])
|
||||||
|
];
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 32-bit unsigned integers (u32) of size N to an array of 8-bit unsigned integers of size P
|
||||||
|
// The following condition must be true `P == 4 * N`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(u32[N] input) -> u8[P] {
|
||||||
|
assert(P == 4 * N);
|
||||||
|
u8[P] mut r = [0; P];
|
||||||
|
for u32 i in 0..N {
|
||||||
|
u8[4] t = cast(input[i]);
|
||||||
|
for u32 j in 0..4 {
|
||||||
|
r[i * 4 + j] = t[j];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a 32-bit unsigned integer (u32) to an array of two 16-bit unsigned integers (u16[2])
|
||||||
|
def cast(u32 input) -> u16[2] {
|
||||||
|
bool[32] bits = u32_to_bits(input);
|
||||||
|
return [
|
||||||
|
u16_from_bits(bits[0..16]),
|
||||||
|
u16_from_bits(bits[16..32])
|
||||||
|
];
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 32-bit unsigned integers (u32) of size N to an array of 16-bit unsigned integers of size P
|
||||||
|
// The following condition must be true `P == 2 * N`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(u32[N] input) -> u16[P] {
|
||||||
|
assert(P == 2 * N);
|
||||||
|
u16[P] mut r = [0; P];
|
||||||
|
for u32 i in 0..N {
|
||||||
|
u16[2] t = cast(input[i]);
|
||||||
|
r[i * 2] = t[0];
|
||||||
|
r[i * 2 + 1] = t[1];
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Upcast a 32-bit unsigned integer (u32) to a 64-bit unsigned integer (u64)
|
||||||
|
def cast(u32 input) -> u64 {
|
||||||
|
bool[32] bits = u32_to_bits(input);
|
||||||
|
return u64_from_bits([...[false; 32], ...bits]);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of two 32-bit unsigned integers (u32[2]) to a 64-bit unsigned integer (u64)
|
||||||
|
def cast(u32[2] input) -> u64 {
|
||||||
|
bool[64] bits = [
|
||||||
|
...u32_to_bits(input[0]),
|
||||||
|
...u32_to_bits(input[1])
|
||||||
|
];
|
||||||
|
return u64_from_bits(bits);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 32-bit unsigned integers (u32) of size N to an array of 64-bit unsigned integers (u64) of size P
|
||||||
|
// The following condition must be true `N == 2 * P`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(u32[N] input) -> u64[P] {
|
||||||
|
assert(N == 2 * P);
|
||||||
|
u64[P] mut r = [0; P];
|
||||||
|
for u32 i in 0..P {
|
||||||
|
r[i] = cast(input[i * 2..(i + 1) * 2]);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a 64-bit unsigned integer (u64) to a boolean array of size 64 (bool[64])
|
||||||
|
def cast(u64 input) -> bool[64] {
|
||||||
|
return u64_to_bits(input);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 64-bit unsigned integers (u64) of size N to a boolean array of size P
|
||||||
|
// The following condition must be true `P == 64 * N`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(u64[N] input) -> bool[P] {
|
||||||
|
assert(P == 64 * N);
|
||||||
|
bool[P] mut r = [false; P];
|
||||||
|
for u32 i in 0..N {
|
||||||
|
bool[64] bits = u64_to_bits(input[i]);
|
||||||
|
for u32 j in 0..64 {
|
||||||
|
r[i * 64 + j] = bits[j];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast 64-bit unsigned integer (u64) to a field element
|
||||||
|
def cast(u64 input) -> field {
|
||||||
|
bool[64] bits = u64_to_bits(input);
|
||||||
|
field mut r = 0;
|
||||||
|
for u32 i in 0..64 {
|
||||||
|
u32 exponent = 64 - i - 1;
|
||||||
|
r = r + (bits[i] ? 2 ** exponent : 0);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 64-bit unsigned integers (u64) to an array of field elements
|
||||||
|
def cast<N>(u64[N] input) -> field[N] {
|
||||||
|
field[N] mut r = [0; N];
|
||||||
|
for u32 i in 0..N {
|
||||||
|
r[i] = cast(input[i]);
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a 64-bit unsigned integer (u64) to an array of 8 8-bit unsigned integers (u8[8])
|
||||||
|
def cast(u64 input) -> u8[8] {
|
||||||
|
bool[64] bits = u64_to_bits(input);
|
||||||
|
return [
|
||||||
|
u8_from_bits(bits[0..8]),
|
||||||
|
u8_from_bits(bits[8..16]),
|
||||||
|
u8_from_bits(bits[16..24]),
|
||||||
|
u8_from_bits(bits[24..32]),
|
||||||
|
u8_from_bits(bits[32..40]),
|
||||||
|
u8_from_bits(bits[40..48]),
|
||||||
|
u8_from_bits(bits[48..56]),
|
||||||
|
u8_from_bits(bits[56..64])
|
||||||
|
];
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 64-bit unsigned integers (u64) of size N to an array of 8-bit unsigned integers of size P
|
||||||
|
// The following condition must be true `P == 8 * N`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(u64[N] input) -> u8[P] {
|
||||||
|
assert(P == 8 * N);
|
||||||
|
u8[P] mut r = [0; P];
|
||||||
|
for u32 i in 0..N {
|
||||||
|
u8[8] t = cast(input[i]);
|
||||||
|
for u32 j in 0..8 {
|
||||||
|
r[i * 8 + j] = t[j];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a 64-bit unsigned integer (u64) to an array of 4 16-bit unsigned integers (u16[4])
|
||||||
|
def cast(u64 input) -> u16[4] {
|
||||||
|
bool[64] bits = u64_to_bits(input);
|
||||||
|
return [
|
||||||
|
u16_from_bits(bits[0..16]),
|
||||||
|
u16_from_bits(bits[16..32]),
|
||||||
|
u16_from_bits(bits[32..48]),
|
||||||
|
u16_from_bits(bits[48..64])
|
||||||
|
];
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 64-bit unsigned integers (u64) of size N to an array of 16-bit unsigned integers of size P
|
||||||
|
// The following condition must be true `P == 4 * N`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(u64[N] input) -> u16[P] {
|
||||||
|
assert(P == 4 * N);
|
||||||
|
u16[P] mut r = [0; P];
|
||||||
|
for u32 i in 0..N {
|
||||||
|
u16[4] t = cast(input[i]);
|
||||||
|
for u32 j in 0..4 {
|
||||||
|
r[i * 4 + j] = t[j];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast a 64-bit unsigned integer (u64) to an array of 2 32-bit unsigned integers (u32[2])
|
||||||
|
def cast(u64 input) -> u32[2] {
|
||||||
|
bool[64] bits = u64_to_bits(input);
|
||||||
|
return [
|
||||||
|
u32_from_bits(bits[0..32]),
|
||||||
|
u32_from_bits(bits[32..64])
|
||||||
|
];
|
||||||
|
}
|
||||||
|
|
||||||
|
// Cast an array of 64-bit unsigned integers (u64) of size N to an array of 32-bit unsigned integers of size P
|
||||||
|
// The following condition must be true `P == 2 * N`, otherwise the cast will fail
|
||||||
|
def cast<N, P>(u64[N] input) -> u32[P] {
|
||||||
|
assert(P == 2 * N);
|
||||||
|
u32[P] mut r = [0; P];
|
||||||
|
for u32 i in 0..N {
|
||||||
|
u32[2] t = cast(input[i]);
|
||||||
|
r[i * 2] = t[0];
|
||||||
|
r[i * 2 + 1] = t[1];
|
||||||
|
}
|
||||||
|
return r;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,6 @@
|
||||||
|
import "./bool_array_to_u32_array" as bool_to_u32;
|
||||||
|
|
||||||
|
def main(bool[128] bits) -> u32[4] {
|
||||||
|
u32[4] res = bool_to_u32(bits);
|
||||||
|
return res;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,6 @@
|
||||||
|
import "./bool_array_to_u32_array" as bool_to_u32;
|
||||||
|
|
||||||
|
def main(bool[256] bits) -> u32[8] {
|
||||||
|
u32[8] res = bool_to_u32(bits);
|
||||||
|
return res;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,15 @@
|
||||||
|
from "EMBED" import u32_from_bits;
|
||||||
|
|
||||||
|
// convert an array of bool to an array of u32
|
||||||
|
// the sizes must match (one u32 for 32 bool) otherwise an error will happen
|
||||||
|
def main<N, P>(bool[N] bits) -> u32[P] {
|
||||||
|
assert(N == 32 * P);
|
||||||
|
|
||||||
|
u32[P] mut res = [0; P];
|
||||||
|
|
||||||
|
for u32 i in 0..P {
|
||||||
|
res[i] = u32_from_bits(bits[32 * i..32 * (i + 1)]);
|
||||||
|
}
|
||||||
|
|
||||||
|
return res;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,8 @@
|
||||||
|
from "field" import FIELD_SIZE_IN_BITS;
|
||||||
|
import "utils/pack/bool/unpack";
|
||||||
|
import "utils/casts/u16_from_bits";
|
||||||
|
|
||||||
|
def main(field input) -> u16 {
|
||||||
|
bool[FIELD_SIZE_IN_BITS] bits = unpack(input);
|
||||||
|
return u16_from_bits(bits[FIELD_SIZE_IN_BITS-16..]);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,8 @@
|
||||||
|
from "field" import FIELD_SIZE_IN_BITS;
|
||||||
|
import "utils/pack/bool/unpack";
|
||||||
|
import "utils/casts/u32_from_bits";
|
||||||
|
|
||||||
|
def main(field input) -> u32 {
|
||||||
|
bool[FIELD_SIZE_IN_BITS] bits = unpack(input);
|
||||||
|
return u32_from_bits(bits[FIELD_SIZE_IN_BITS-32..]);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,8 @@
|
||||||
|
from "field" import FIELD_SIZE_IN_BITS;
|
||||||
|
import "utils/pack/bool/unpack";
|
||||||
|
import "utils/casts/u64_from_bits";
|
||||||
|
|
||||||
|
def main(field input) -> u64 {
|
||||||
|
bool[FIELD_SIZE_IN_BITS] bits = unpack(input);
|
||||||
|
return u64_from_bits(bits[FIELD_SIZE_IN_BITS-64..]);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,8 @@
|
||||||
|
from "field" import FIELD_SIZE_IN_BITS;
|
||||||
|
import "utils/pack/bool/unpack";
|
||||||
|
import "utils/casts/u8_from_bits";
|
||||||
|
|
||||||
|
def main(field input) -> u8 {
|
||||||
|
bool[FIELD_SIZE_IN_BITS] bits = unpack(input);
|
||||||
|
return u8_from_bits(bits[FIELD_SIZE_IN_BITS-8..]);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,5 @@
|
||||||
|
from "EMBED" import u16_from_bits;
|
||||||
|
|
||||||
|
def main(bool[16] a) -> u16 {
|
||||||
|
return u16_from_bits(a);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,5 @@
|
||||||
|
from "EMBED" import u16_to_bits;
|
||||||
|
|
||||||
|
def main(u16 a) -> bool[16] {
|
||||||
|
return u16_to_bits(a);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,11 @@
|
||||||
|
from "EMBED" import u16_to_bits;
|
||||||
|
|
||||||
|
def main(u16 i) -> field {
|
||||||
|
bool[16] bits = u16_to_bits(i);
|
||||||
|
field mut res = 0;
|
||||||
|
for u32 j in 0..16 {
|
||||||
|
u32 exponent = 16 - j - 1;
|
||||||
|
res = res + (bits[j] ? 2 ** exponent : 0);
|
||||||
|
}
|
||||||
|
return res;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,6 @@
|
||||||
|
import "./u32_array_to_bool_array" as to_bool_array;
|
||||||
|
|
||||||
|
def main(u32[4] input) -> bool[128] {
|
||||||
|
bool[128] res = to_bool_array(input);
|
||||||
|
return res;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,6 @@
|
||||||
|
import "./u32_array_to_bool_array" as to_bool_array;
|
||||||
|
|
||||||
|
def main(u32[8] input) -> bool[256] {
|
||||||
|
bool[256] res = to_bool_array(input);
|
||||||
|
return res;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,16 @@
|
||||||
|
from "EMBED" import u32_to_bits;
|
||||||
|
|
||||||
|
def main<N, P>(u32[N] input) -> bool[P] {
|
||||||
|
assert(P == 32 * N);
|
||||||
|
|
||||||
|
bool[P] mut res = [false; P];
|
||||||
|
|
||||||
|
for u32 i in 0..N {
|
||||||
|
bool[32] bits = u32_to_bits(input[i]);
|
||||||
|
for u32 j in 0..32 {
|
||||||
|
res[i * 32 + j] = bits[j];
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
return res;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,5 @@
|
||||||
|
from "EMBED" import u32_from_bits;
|
||||||
|
|
||||||
|
def main(bool[32] a) -> u32 {
|
||||||
|
return u32_from_bits(a);
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,5 @@
|
||||||
|
from "EMBED" import u32_to_bits;
|
||||||
|
|
||||||
|
def main(u32 a) -> bool[32] {
|
||||||
|
return u32_to_bits(a);
|
||||||
|
}
|
||||||
Some files were not shown because too many files have changed in this diff Show More
Loading…
Reference in New Issue