Add circom-examples/equation.circom

circom-examples/.gitignore

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+node_modules
+build

circom-examples/README.md

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+# circom-examples
+
+- `equation.circom`: Circuit to check that prover knows a private inputs `x` & `y`,	such as `x**a - y**b = 0`, where `a` & `b` are known parameters.
+
+
+## Run
+```
+npm install
+
+npm run test
+```

circom-examples/circuits/equation.circom

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+include "../node_modules/circomlib/circuits/comparators.circom";
+
+/*
+	Circuit to check that prover knows a private inputs x & y,
+	such as x**a - y**b = 0, where a & b are known parameters.
+*/
+template Equation(a, b) {
+	signal private input x;
+	signal private input y;
+
+	
+	signal aArray[a];
+	signal bArray[b];
+	for (var i=0; i<a; i++) {
+		if (i==0) {
+			aArray[0] <== x;
+		} else {
+			aArray[i] <== x * aArray[i-1];
+		}
+	}
+	for(var i=0; i<b; i++) {
+		if (i==0) {
+			bArray[0] <== y;
+		} else {
+			bArray[i] <== y * bArray[i-1];
+		}
+	}
+	
+	component checkEq = IsEqual();
+	checkEq.in[0] <== aArray[a-1];
+	checkEq.in[1] <== bArray[b-1];
+	checkEq.out === 1;
+}
+
+component main = Equation(4, 8);

circom-examples/package.json

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+{
+  "name": "kesto",
+  "version": "0.0.1",
+  "description": "kesto",
+  "main": "src/index.ts",
+  "scripts": {
+    "clean": "rm -fR dist",
+    "build": "npm run clean && ./node_modules/.bin/tsc --strictNullChecks",
+    "test": "./node_modules/.bin/mocha -r ts-node/register test/*.ts"
+  },
+  "license": "GPL-3.0",
+  "dependencies": {
+    "circomlib": "0.2.2"
+  },
+  "devDependencies": {
+    "@types/chai": "^4.1.7",
+    "@types/mocha": "^5.2.6",
+    "@types/node": "^12.12.0",
+    "chai": "^4.2.0",
+    "circom": "0.5.10",
+    "eslint-plugin-mocha": "^6.1.0",
+    "mocha": "^5.2.0",
+    "mocha-steps": "^1.3.0",
+    "ts-node": "^7.0.1",
+    "tslint": "^5.18.0",
+    "typescript": "^3.5.3"
+  }
+}

circom-examples/test/equation.test.ts

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+const path = require("path");
+const tester = require("circom").tester;
+const chai = require("chai");
+const assert = chai.assert;
+
+export {};
+
+describe("equation test", function () {
+    this.timeout(200000);
+
+
+    it("Test equation", async () => {
+        const circuit = await tester(
+            path.join(__dirname, "../circuits", "equation.circom"),
+            {reduceConstraints: false}
+        );
+        
+        const witness = await circuit.calculateWitness({
+            "x": 4,
+            "y": 2
+        });
+        await circuit.checkConstraints(witness);
+    });
+});

circom-examples/tsconfig.json

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+{
+    "compilerOptions": {
+        "module": "commonjs",
+        "moduleResolution": "node",
+        "resolveJsonModule": true,
+        "pretty": true,
+        "declaration": true,
+        "sourceMap": true,
+        "target": "es6",
+        "outDir": "dist",
+        "baseUrl": "src"
+    },
+    "include": [
+        "src/**/*.ts"
+    ],
+    "exclude": [
+        "node_modules"
+    ]
+}

circom-examples/tslint.json

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+{
+    "defaultSeverity": "error",
+    "extends": [
+        "tslint:recommended"
+    ],
+    "jsRules": {},
+    "rules": {
+        "indent": [true, "spaces", 4],
+        "semicolon": [false, "always"]
+    },
+    "rulesDirectory": [],
+    "linterOptions": {
+        "exclude": [
+            "node_modules/**"
+        ]
+    }
+}