From 4b147eca7f713dc38e1c3f116d8d5ebdadedb88b Mon Sep 17 00:00:00 2001 From: Jordi Baylina Date: Tue, 13 Nov 2018 10:57:54 +0100 Subject: [PATCH] Pedersen Hash done with tests --- calcpedersenbases/calcpedersenbases.js | 57 +- circuit.json | 122141 ++++++++++++++++++++- circuit/pedersen.circom | 29 +- src/babyjub.js | 57 + test/circuits/circuit.json | 122243 ++++++++++++++++++++++ test/circuits/exp_test.circom | 24 - test/circuits/exp_test_min.circom | 20 - test/circuits/pedersen_test.circom | 29 + test/pedersen.js | 105 + 9 files changed, 244497 insertions(+), 208 deletions(-) create mode 100644 src/babyjub.js create mode 100644 test/circuits/circuit.json delete mode 100644 test/circuits/exp_test.circom delete mode 100644 test/circuits/exp_test_min.circom create mode 100644 test/circuits/pedersen_test.circom create mode 100644 test/pedersen.js diff --git a/calcpedersenbases/calcpedersenbases.js b/calcpedersenbases/calcpedersenbases.js index 3e47b92..c7ae74c 100644 --- a/calcpedersenbases/calcpedersenbases.js +++ b/calcpedersenbases/calcpedersenbases.js @@ -2,32 +2,7 @@ const bn128 = require("snarkjs").bn128; const bigInt = require("snarkjs").bigInt; const createBlakeHash = require("blake-hash"); const assert = require("assert"); - -function addPoint(a,b, q) { - const cta = bigInt("168700"); - const d = bigInt("168696"); - - const res = []; - res[0] = bigInt((a[0]*b[1] + b[0]*a[1]) * bigInt(bigInt("1") + d*a[0]*b[0]*a[1]*b[1]).inverse(q)).affine(q); - res[1] = bigInt((a[1]*b[1] - cta*a[0]*b[0]) * bigInt(bigInt("1") - d*a[0]*b[0]*a[1]*b[1]).inverse(q)).affine(q); - return res; -} - -function mulPointEscalar(base, e, q) { - let res = [bigInt("0"),bigInt("1")]; - let rem = bigInt(e); - let exp = base; - - while (! rem.isZero()) { - if (rem.isOdd()) { - res = addPoint(res, exp, q); - } - exp = addPoint(exp, exp, q); - rem = rem.shr(1); - } - - return res; -} +const babyJub = require("../src/babyjub"); function getPoint(S) { const F = bn128.Fr; @@ -62,7 +37,7 @@ function getPoint(S) { const p = [bn128.Fr.affine(x), bn128.Fr.affine(y)]; - const p8 =mulPointEscalar(p, 8, bn128.r); + const p8 = babyJub.mulPointEscalar(p, 8); return p8; } @@ -77,42 +52,20 @@ function generatePoint(S) { p = getPoint(S+"_"+sidx); idx++; } - assert(inCurve(p), "Point not in curve"); + assert(babyJub.inCurve(p), "Point not in curve"); return p; } -const r = bigInt("21888242871839275222246405745257275088614511777268538073601725287587578984328").shr(3); -function isLowGrade(p) { - const res= mulPointEscalar(p, r, bn128.r); - return (res[0].equals(bigInt(0))) && (res[1].equals(bigInt(1))); -} -function inCurve(p) { - const F = bn128.Fr; - - const a = bigInt("168700"); - const d = bigInt("168696"); - - const x2 = F.square(p[0]); - const y2 = F.square(p[1]); - - if (!F.equals( - F.add(F.mul(a, x2), y2), - F.add(F.one, F.mul(F.mul(x2, y2), d)))) return false; - - if (!isLowGrade(p)) return false; - - return true; -} const g = [ bigInt("17777552123799933955779906779655732241715742912184938656739573121738514868268"), bigInt("2626589144620713026669568689430873010625803728049924121243784502389097019475")]; - -if (!inCurve(g)) { +// Sanity check +if (!babyJub.inCurve(g)) { throw new Error("Generator not In curve -> Some thing goes wrong..."); } diff --git a/circuit.json b/circuit.json index 60ff6a1..4bd56eb 100644 --- a/circuit.json +++ b/circuit.json @@ -1,77 +1,22981 @@ { - "mainCode": "{\n {\n }\n ctx.setVar(\"base\", [], [\"17777552123799933955779906779655732241715742912184938656739573121738514868268\",\"2626589144620713026669568689430873010625803728049924121243784502389097019475\"]);\n}\n", + "mainCode": "{\n {\n {\n {\n }\n {\n }\n {\n }\n }\n }\n {\n {\n {\n }\n }\n }\n}\n", "signalName2Idx": { "one": 0, - "main.out[0][0]": 1, - "main.out[0][1]": 2, - "main.out[1][0]": 3, - "main.out[1][1]": 4, - "main.out[2][0]": 5, - "main.out[2][1]": 6, - "main.out[3][0]": 7, - "main.out[3][1]": 8, - "main.out[4][0]": 9, 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{} + ], + [ + { + "509": "1" + }, + { + "0": "21888242871839275222246405745257275088548364400416034343698204186575808495616", + "509": "1" + }, + {} + ], + [ + { + "0": "14298368649522140882532920907423959668160335449958002717444773097144775693535", + "5973": "7589874222317134339713484837833315420388028950458031626253431089431032802082" + }, + { + "0": "14298368649522140882532920907423959668160335449958002717444773097144775693534", + "5973": "7589874222317134339713484837833315420388028950458031626253431089431032802082" + }, + {} + ] + ], "templates": { - "EscalarMulW4Table": "function(ctx) {\n ctx.setVar(\"dbl\", [], ctx.getVar(\"base\",[]));\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(bigInt(ctx.getVar(\"k\",[])).mul(bigInt(\"4\")).mod(__P__))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setVar(\"dbl\", [], ctx.callFunction(\"pointAdd\", [ctx.getVar(\"dbl\",[\"0\"]),ctx.getVar(\"dbl\",[\"1\"]),ctx.getVar(\"dbl\",[\"0\"]),ctx.getVar(\"dbl\",[\"1\"])]));\n }\n\n }\n ctx.setSignal(\"out\", [\"0\",\"0\"], \"0\");\n ctx.assert(ctx.getSignal(\"out\", [\"0\",\"0\"]), \"0\");\n ctx.setSignal(\"out\", [\"0\",\"1\"], \"1\");\n ctx.assert(ctx.getSignal(\"out\", [\"0\",\"1\"]), \"1\");\n for (ctx.setVar(\"i\", [], \"1\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(\"16\")) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setVar(\"p\", [], ctx.callFunction(\"pointAdd\", [ctx.getSignal(\"out\", [bigInt(ctx.getVar(\"i\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__),\"0\"]),ctx.getSignal(\"out\", [bigInt(ctx.getVar(\"i\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__),\"1\"]),ctx.getVar(\"dbl\",[\"0\"]),ctx.getVar(\"dbl\",[\"1\"])]));\n ctx.setSignal(\"out\", [ctx.getVar(\"i\",[]),\"0\"], ctx.getVar(\"p\",[\"0\"]));\n ctx.assert(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[]),\"0\"]), ctx.getVar(\"p\",[\"0\"]));\n ctx.setSignal(\"out\", [ctx.getVar(\"i\",[]),\"1\"], ctx.getVar(\"p\",[\"1\"]));\n ctx.assert(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[]),\"1\"]), ctx.getVar(\"p\",[\"1\"]));\n }\n\n }\n}\n" + "MultiMux4": "function(ctx) {\n ctx.setSignal(\"s10\", [], bigInt(ctx.getSignal(\"s\", [\"1\"])).mul(bigInt(ctx.getSignal(\"s\", [\"0\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"s10\", []), bigInt(ctx.getSignal(\"s\", [\"1\"])).mul(bigInt(ctx.getSignal(\"s\", [\"0\"]))).mod(__P__));\n ctx.setSignal(\"s20\", [], bigInt(ctx.getSignal(\"s\", [\"2\"])).mul(bigInt(ctx.getSignal(\"s\", [\"0\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"s20\", []), bigInt(ctx.getSignal(\"s\", [\"2\"])).mul(bigInt(ctx.getSignal(\"s\", [\"0\"]))).mod(__P__));\n ctx.setSignal(\"s21\", [], bigInt(ctx.getSignal(\"s\", [\"2\"])).mul(bigInt(ctx.getSignal(\"s\", [\"1\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"s21\", []), bigInt(ctx.getSignal(\"s\", [\"2\"])).mul(bigInt(ctx.getSignal(\"s\", [\"1\"]))).mod(__P__));\n ctx.setSignal(\"s210\", [], bigInt(ctx.getSignal(\"s21\", [])).mul(bigInt(ctx.getSignal(\"s\", [\"0\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"s210\", []), bigInt(ctx.getSignal(\"s21\", [])).mul(bigInt(ctx.getSignal(\"s\", [\"0\"]))).mod(__P__));\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(ctx.getVar(\"n\",[]))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setSignal(\"a3210\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"15\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"14\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"13\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"12\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"11\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"10\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"9\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"7\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"6\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"5\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"3\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s210\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a3210\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"15\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"14\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"13\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"12\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"11\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"10\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"9\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"7\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"6\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"5\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"3\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s210\", []))).mod(__P__));\n ctx.setSignal(\"a321\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"14\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"12\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"10\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"6\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s21\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a321\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"14\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"12\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"10\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"6\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s21\", []))).mod(__P__));\n ctx.setSignal(\"a320\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"13\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"12\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"9\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"5\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s20\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a320\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"13\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"12\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"9\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"5\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s20\", []))).mod(__P__));\n ctx.setSignal(\"a310\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"11\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"10\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"9\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"3\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s10\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a310\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"11\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"10\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"9\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"3\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s10\", []))).mod(__P__));\n ctx.setSignal(\"a32\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"12\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"2\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a32\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"12\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"2\"]))).mod(__P__));\n ctx.setSignal(\"a31\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"10\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"1\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a31\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"10\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"1\"]))).mod(__P__));\n ctx.setSignal(\"a30\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"9\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"0\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a30\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"9\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"0\"]))).mod(__P__));\n ctx.setSignal(\"a3\", [ctx.getVar(\"i\",[])], bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a3\", [ctx.getVar(\"i\",[])]), bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__));\n ctx.setSignal(\"a210\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"7\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"6\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"5\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"3\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s210\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a210\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"7\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"6\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"5\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"3\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s210\", []))).mod(__P__));\n ctx.setSignal(\"a21\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"6\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s21\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a21\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"6\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s21\", []))).mod(__P__));\n ctx.setSignal(\"a20\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"5\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s20\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a20\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"5\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s20\", []))).mod(__P__));\n ctx.setSignal(\"a10\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"3\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s10\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a10\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"3\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s10\", []))).mod(__P__));\n ctx.setSignal(\"a2\", [ctx.getVar(\"i\",[])], bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"2\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a2\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"2\"]))).mod(__P__));\n ctx.setSignal(\"a1\", [ctx.getVar(\"i\",[])], bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"1\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a1\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"1\"]))).mod(__P__));\n ctx.setSignal(\"a0\", [ctx.getVar(\"i\",[])], bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"0\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a0\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"0\"]))).mod(__P__));\n ctx.setSignal(\"a\", [ctx.getVar(\"i\",[])], ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]));\n ctx.assert(ctx.getSignal(\"a\", [ctx.getVar(\"i\",[])]), ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]));\n ctx.setSignal(\"out\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"a3210\", [ctx.getVar(\"i\",[])])).add(bigInt(ctx.getSignal(\"a321\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a320\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a310\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a32\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a31\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a30\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a3\", [ctx.getVar(\"i\",[])]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"3\"]))).mod(__P__)).add(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"a210\", [ctx.getVar(\"i\",[])])).add(bigInt(ctx.getSignal(\"a21\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a20\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a10\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a2\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a1\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a0\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a\", [ctx.getVar(\"i\",[])]))).mod(__P__))).mod(__P__));\n ctx.assert(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"a3210\", [ctx.getVar(\"i\",[])])).add(bigInt(ctx.getSignal(\"a321\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a320\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a310\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a32\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a31\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a30\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a3\", [ctx.getVar(\"i\",[])]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"3\"]))).mod(__P__)).add(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"a210\", [ctx.getVar(\"i\",[])])).add(bigInt(ctx.getSignal(\"a21\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a20\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a10\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a2\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a1\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a0\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a\", [ctx.getVar(\"i\",[])]))).mod(__P__))).mod(__P__));\n }\n\n }\n}\n", + "Mux4": "function(ctx) {\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(\"16\")) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setPin(\"mux\", [], \"c\", [\"0\",ctx.getVar(\"i\",[])], ctx.getSignal(\"c\", [ctx.getVar(\"i\",[])]));\n ctx.assert(ctx.getPin(\"mux\", [], \"c\", [\"0\",ctx.getVar(\"i\",[])]), ctx.getSignal(\"c\", [ctx.getVar(\"i\",[])]));\n }\n\n }\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(\"4\")) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setPin(\"mux\", [], \"s\", [ctx.getVar(\"i\",[])], ctx.getSignal(\"s\", [ctx.getVar(\"i\",[])]));\n ctx.assert(ctx.getPin(\"mux\", [], \"s\", [ctx.getVar(\"i\",[])]), ctx.getSignal(\"s\", [ctx.getVar(\"i\",[])]));\n }\n\n }\n ctx.setSignal(\"out\", [], ctx.getPin(\"mux\", [], \"out\", [\"0\"]));\n ctx.assert(ctx.getSignal(\"out\", []), ctx.getPin(\"mux\", [], \"out\", [\"0\"]));\n}\n", + "EscalarMulW4Table": "function(ctx) {\n ctx.setVar(\"dbl\", [], ctx.getVar(\"base\",[]));\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(bigInt(ctx.getVar(\"k\",[])).mul(bigInt(\"4\")).mod(__P__))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setVar(\"dbl\", [], ctx.callFunction(\"pointAdd\", [ctx.getVar(\"dbl\",[\"0\"]),ctx.getVar(\"dbl\",[\"1\"]),ctx.getVar(\"dbl\",[\"0\"]),ctx.getVar(\"dbl\",[\"1\"])]));\n }\n\n }\n ctx.setSignal(\"out\", [\"0\",\"0\"], \"0\");\n ctx.assert(ctx.getSignal(\"out\", [\"0\",\"0\"]), \"0\");\n ctx.setSignal(\"out\", [\"0\",\"1\"], \"1\");\n ctx.assert(ctx.getSignal(\"out\", [\"0\",\"1\"]), \"1\");\n for (ctx.setVar(\"i\", [], \"1\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(\"16\")) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setVar(\"p\", [], ctx.callFunction(\"pointAdd\", [ctx.getSignal(\"out\", [bigInt(ctx.getVar(\"i\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__),\"0\"]),ctx.getSignal(\"out\", [bigInt(ctx.getVar(\"i\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__),\"1\"]),ctx.getVar(\"dbl\",[\"0\"]),ctx.getVar(\"dbl\",[\"1\"])]));\n ctx.setSignal(\"out\", [ctx.getVar(\"i\",[]),\"0\"], ctx.getVar(\"p\",[\"0\"]));\n ctx.assert(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[]),\"0\"]), ctx.getVar(\"p\",[\"0\"]));\n ctx.setSignal(\"out\", [ctx.getVar(\"i\",[]),\"1\"], ctx.getVar(\"p\",[\"1\"]));\n ctx.assert(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[]),\"1\"]), ctx.getVar(\"p\",[\"1\"]));\n }\n\n }\n}\n", + "BabyAdd": "function(ctx) {\n ctx.setVar(\"a\", [], \"168700\");\n ctx.setVar(\"d\", [], \"168696\");\n ctx.setSignal(\"beta\", [], bigInt(ctx.getSignal(\"x1\", [])).mul(bigInt(ctx.getSignal(\"y2\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"beta\", []), bigInt(ctx.getSignal(\"x1\", [])).mul(bigInt(ctx.getSignal(\"y2\", []))).mod(__P__));\n ctx.setSignal(\"gamma\", [], bigInt(ctx.getSignal(\"y1\", [])).mul(bigInt(ctx.getSignal(\"x2\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"gamma\", []), bigInt(ctx.getSignal(\"y1\", [])).mul(bigInt(ctx.getSignal(\"x2\", []))).mod(__P__));\n ctx.setSignal(\"delta\", [], bigInt(ctx.getSignal(\"y1\", [])).mul(bigInt(ctx.getSignal(\"y2\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"delta\", []), bigInt(ctx.getSignal(\"y1\", [])).mul(bigInt(ctx.getSignal(\"y2\", []))).mod(__P__));\n ctx.setSignal(\"epsilon\", [], bigInt(ctx.getSignal(\"x1\", [])).mul(bigInt(ctx.getSignal(\"x2\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"epsilon\", []), bigInt(ctx.getSignal(\"x1\", [])).mul(bigInt(ctx.getSignal(\"x2\", []))).mod(__P__));\n ctx.setSignal(\"tau\", [], bigInt(ctx.getSignal(\"delta\", [])).mul(bigInt(ctx.getSignal(\"epsilon\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"tau\", []), bigInt(ctx.getSignal(\"delta\", [])).mul(bigInt(ctx.getSignal(\"epsilon\", []))).mod(__P__));\n ctx.setSignal(\"xout\", [], bigInt(bigInt(ctx.getSignal(\"beta\", [])).add(bigInt(ctx.getSignal(\"gamma\", []))).mod(__P__)).mul( bigInt(bigInt(\"1\").add(bigInt(bigInt(ctx.getVar(\"d\",[])).mul(bigInt(ctx.getSignal(\"tau\", []))).mod(__P__))).mod(__P__)).inverse(__P__) ).mod(__P__));\n ctx.assert(bigInt(bigInt(\"1\").add(bigInt(bigInt(ctx.getVar(\"d\",[])).mul(bigInt(ctx.getSignal(\"tau\", []))).mod(__P__))).mod(__P__)).mul(bigInt(ctx.getSignal(\"xout\", []))).mod(__P__), bigInt(ctx.getSignal(\"beta\", [])).add(bigInt(ctx.getSignal(\"gamma\", []))).mod(__P__));\n ctx.setSignal(\"yout\", [], bigInt(bigInt(ctx.getSignal(\"delta\", [])).add(__P__).sub(bigInt(bigInt(ctx.getVar(\"a\",[])).mul(bigInt(ctx.getSignal(\"epsilon\", []))).mod(__P__))).mod(__P__)).mul( bigInt(bigInt(\"1\").add(__P__).sub(bigInt(bigInt(ctx.getVar(\"d\",[])).mul(bigInt(ctx.getSignal(\"tau\", []))).mod(__P__))).mod(__P__)).inverse(__P__) ).mod(__P__));\n ctx.assert(bigInt(bigInt(\"1\").add(__P__).sub(bigInt(bigInt(ctx.getVar(\"d\",[])).mul(bigInt(ctx.getSignal(\"tau\", []))).mod(__P__))).mod(__P__)).mul(bigInt(ctx.getSignal(\"yout\", []))).mod(__P__), bigInt(ctx.getSignal(\"delta\", [])).add(__P__).sub(bigInt(bigInt(ctx.getVar(\"a\",[])).mul(bigInt(ctx.getSignal(\"epsilon\", []))).mod(__P__))).mod(__P__));\n}\n", + "EscalarMulWindow": "function(ctx) {\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(\"4\")) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setPin(\"mux\", [], \"s\", [ctx.getVar(\"i\",[])], ctx.getSignal(\"sel\", [ctx.getVar(\"i\",[])]));\n ctx.assert(ctx.getPin(\"mux\", [], \"s\", [ctx.getVar(\"i\",[])]), ctx.getSignal(\"sel\", [ctx.getVar(\"i\",[])]));\n }\n\n }\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(\"16\")) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setPin(\"mux\", [], \"c\", [\"0\",ctx.getVar(\"i\",[])], ctx.getPin(\"table\", [], \"out\", [ctx.getVar(\"i\",[]),\"0\"]));\n ctx.assert(ctx.getPin(\"mux\", [], \"c\", [\"0\",ctx.getVar(\"i\",[])]), ctx.getPin(\"table\", [], \"out\", [ctx.getVar(\"i\",[]),\"0\"]));\n ctx.setPin(\"mux\", [], \"c\", [\"1\",ctx.getVar(\"i\",[])], ctx.getPin(\"table\", [], \"out\", [ctx.getVar(\"i\",[]),\"1\"]));\n ctx.assert(ctx.getPin(\"mux\", [], \"c\", [\"1\",ctx.getVar(\"i\",[])]), ctx.getPin(\"table\", [], \"out\", [ctx.getVar(\"i\",[]),\"1\"]));\n }\n\n }\n ctx.setPin(\"adder\", [], \"x1\", [], ctx.getSignal(\"in\", [\"0\"]));\n ctx.assert(ctx.getPin(\"adder\", [], \"x1\", []), ctx.getSignal(\"in\", [\"0\"]));\n ctx.setPin(\"adder\", [], \"y1\", [], ctx.getSignal(\"in\", [\"1\"]));\n ctx.assert(ctx.getPin(\"adder\", [], \"y1\", []), ctx.getSignal(\"in\", [\"1\"]));\n ctx.setPin(\"adder\", [], \"x2\", [], ctx.getPin(\"mux\", [], \"out\", [\"0\"]));\n ctx.assert(ctx.getPin(\"adder\", [], \"x2\", []), ctx.getPin(\"mux\", [], \"out\", [\"0\"]));\n ctx.setPin(\"adder\", [], \"y2\", [], ctx.getPin(\"mux\", [], \"out\", [\"1\"]));\n ctx.assert(ctx.getPin(\"adder\", [], \"y2\", []), ctx.getPin(\"mux\", [], \"out\", [\"1\"]));\n ctx.setSignal(\"out\", [\"0\"], ctx.getPin(\"adder\", [], \"xout\", []));\n ctx.assert(ctx.getSignal(\"out\", [\"0\"]), ctx.getPin(\"adder\", [], \"xout\", []));\n ctx.setSignal(\"out\", [\"1\"], ctx.getPin(\"adder\", [], \"yout\", []));\n ctx.assert(ctx.getSignal(\"out\", [\"1\"]), ctx.getPin(\"adder\", [], \"yout\", []));\n}\n", + "EscalarMul": "function(ctx) {\n ctx.setVar(\"nBlocks\", [], bigInt(bigInt(\"2\").greater(bigInt(256)) ? 0 : bigInt(bigInt(ctx.getVar(\"n\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)).shr(bigInt(\"2\")).and(__MASK__)).add(bigInt(\"1\")).mod(__P__));\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(ctx.getVar(\"nBlocks\",[]))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n }\n\n }\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(ctx.getVar(\"nBlocks\",[]))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n for (ctx.setVar(\"j\", [], \"0\");bigInt(ctx.getVar(\"j\",[])).lt(bigInt(\"4\")) ? 1 : 0;(ctx.setVar(\"j\", [], bigInt(ctx.getVar(\"j\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n if (bigInt(bigInt(bigInt(ctx.getVar(\"i\",[])).mul(bigInt(\"4\")).mod(__P__)).add(bigInt(ctx.getVar(\"j\",[]))).mod(__P__)).greaterOrEquals(bigInt(ctx.getVar(\"n\",[]))) ? 1 : 0) {\n {\n ctx.setPin(\"windows\", [ctx.getVar(\"i\",[])], \"sel\", [ctx.getVar(\"j\",[])], \"0\");\n ctx.assert(ctx.getPin(\"windows\", [ctx.getVar(\"i\",[])], \"sel\", [ctx.getVar(\"j\",[])]), \"0\");\n }\n\n } else {\n {\n ctx.setPin(\"windows\", [ctx.getVar(\"i\",[])], \"sel\", [ctx.getVar(\"j\",[])], ctx.getSignal(\"in\", [bigInt(bigInt(ctx.getVar(\"i\",[])).mul(bigInt(\"4\")).mod(__P__)).add(bigInt(ctx.getVar(\"j\",[]))).mod(__P__)]));\n ctx.assert(ctx.getPin(\"windows\", [ctx.getVar(\"i\",[])], \"sel\", [ctx.getVar(\"j\",[])]), ctx.getSignal(\"in\", [bigInt(bigInt(ctx.getVar(\"i\",[])).mul(bigInt(\"4\")).mod(__P__)).add(bigInt(ctx.getVar(\"j\",[]))).mod(__P__)]));\n }\n\n }\n }\n\n }\n }\n\n }\n ctx.setPin(\"windows\", [\"0\"], \"in\", [\"0\"], ctx.getSignal(\"inp\", [\"0\"]));\n ctx.assert(ctx.getPin(\"windows\", [\"0\"], \"in\", [\"0\"]), ctx.getSignal(\"inp\", [\"0\"]));\n ctx.setPin(\"windows\", [\"0\"], \"in\", [\"1\"], ctx.getSignal(\"inp\", [\"1\"]));\n ctx.assert(ctx.getPin(\"windows\", [\"0\"], \"in\", [\"1\"]), ctx.getSignal(\"inp\", [\"1\"]));\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(bigInt(ctx.getVar(\"nBlocks\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setPin(\"windows\", [bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__)], \"in\", [\"0\"], ctx.getPin(\"windows\", [ctx.getVar(\"i\",[])], \"out\", [\"0\"]));\n ctx.assert(ctx.getPin(\"windows\", [bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__)], \"in\", [\"0\"]), ctx.getPin(\"windows\", [ctx.getVar(\"i\",[])], \"out\", [\"0\"]));\n ctx.setPin(\"windows\", [bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__)], \"in\", [\"1\"], ctx.getPin(\"windows\", [ctx.getVar(\"i\",[])], \"out\", [\"1\"]));\n ctx.assert(ctx.getPin(\"windows\", [bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__)], \"in\", [\"1\"]), ctx.getPin(\"windows\", [ctx.getVar(\"i\",[])], \"out\", [\"1\"]));\n }\n\n }\n ctx.setSignal(\"out\", [\"0\"], ctx.getPin(\"windows\", [bigInt(ctx.getVar(\"nBlocks\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"0\"]));\n ctx.assert(ctx.getSignal(\"out\", [\"0\"]), ctx.getPin(\"windows\", [bigInt(ctx.getVar(\"nBlocks\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"0\"]));\n ctx.setSignal(\"out\", [\"1\"], ctx.getPin(\"windows\", [bigInt(ctx.getVar(\"nBlocks\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"1\"]));\n ctx.assert(ctx.getSignal(\"out\", [\"1\"]), ctx.getPin(\"windows\", [bigInt(ctx.getVar(\"nBlocks\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"1\"]));\n}\n", + "Pedersen": "function(ctx) {\n ctx.setVar(\"nexps\", [], bigInt(bigInt(bigInt(ctx.getVar(\"n\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)).div( bigInt(\"253\"))).add(bigInt(\"1\")).mod(__P__));\n ctx.setVar(\"nlastbits\", [], bigInt(ctx.getVar(\"n\",[])).add(__P__).sub(bigInt(bigInt(bigInt(ctx.getVar(\"nexps\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)).mul(bigInt(\"253\")).mod(__P__))).mod(__P__));\n ctx.setVar(\"PBASE\", [], [[\"6842263847932328569390632736104801120816056295876316310227967232893658007436\",\"10520112236148895828506510766039255961372323270202387671483666293012156799229\"],[\"7512553369533424708326990019377586455744651641787163924108944444109352325495\",\"242060483180498555826438209654403949979206323274480625257315595534333598496\"],[\"480315709862415282411588615813248553518720286084247594626493599605932342246\",\"15016559215090999873142530067666085992648246670781771102893391410239675444873\"],[\"8311398801616893527636419786153024398643144699386228070202625261657263599049\",\"11125962584728296601438821974884453267303385157860713577195820780853779600315\"],[\"1924118814882677827825936037840538695314492559747259292440881566152665343441\",\"17232376423406964731689089286495480735310130852288107159412732879983310795144\"]]);\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(ctx.getVar(\"nexps\",[]))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setVar(\"nexpbits\", [], bigInt((bigInt(ctx.getVar(\"i\",[])).eq(bigInt(bigInt(ctx.getVar(\"nexps\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__))) ? 1 : 0)).neq(bigInt(0)) ? (ctx.getVar(\"nlastbits\",[])) : (\"253\"));\n for (ctx.setVar(\"j\", [], \"0\");bigInt(ctx.getVar(\"j\",[])).lt(bigInt(ctx.getVar(\"nexpbits\",[]))) ? 1 : 0;(ctx.setVar(\"j\", [], bigInt(ctx.getVar(\"j\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"in\", [ctx.getVar(\"j\",[])], ctx.getSignal(\"in\", [bigInt(bigInt(\"253\").mul(bigInt(ctx.getVar(\"i\",[]))).mod(__P__)).add(bigInt(ctx.getVar(\"j\",[]))).mod(__P__)]));\n ctx.assert(ctx.getPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"in\", [ctx.getVar(\"j\",[])]), ctx.getSignal(\"in\", [bigInt(bigInt(\"253\").mul(bigInt(ctx.getVar(\"i\",[]))).mod(__P__)).add(bigInt(ctx.getVar(\"j\",[]))).mod(__P__)]));\n }\n\n }\n if ((bigInt(ctx.getVar(\"i\",[])).eq(bigInt(\"0\")) ? 1 : 0)) {\n {\n ctx.setPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"inp\", [\"0\"], \"0\");\n ctx.assert(ctx.getPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"inp\", [\"0\"]), \"0\");\n ctx.setPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"inp\", [\"1\"], \"0\");\n ctx.assert(ctx.getPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"inp\", [\"1\"]), \"0\");\n }\n\n } else {\n {\n ctx.setPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"inp\", [\"0\"], ctx.getPin(\"escalarMuls\", [bigInt(ctx.getVar(\"i\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"0\"]));\n ctx.assert(ctx.getPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"inp\", [\"0\"]), ctx.getPin(\"escalarMuls\", [bigInt(ctx.getVar(\"i\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"0\"]));\n ctx.setPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"inp\", [\"1\"], ctx.getPin(\"escalarMuls\", [bigInt(ctx.getVar(\"i\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"1\"]));\n ctx.assert(ctx.getPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"inp\", [\"1\"]), ctx.getPin(\"escalarMuls\", [bigInt(ctx.getVar(\"i\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"1\"]));\n }\n\n }\n }\n\n }\n ctx.setSignal(\"out\", [\"0\"], ctx.getPin(\"escalarMuls\", [bigInt(ctx.getVar(\"nexps\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"0\"]));\n ctx.assert(ctx.getSignal(\"out\", [\"0\"]), ctx.getPin(\"escalarMuls\", [bigInt(ctx.getVar(\"nexps\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"0\"]));\n ctx.setSignal(\"out\", [\"1\"], ctx.getPin(\"escalarMuls\", [bigInt(ctx.getVar(\"nexps\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"1\"]));\n ctx.assert(ctx.getSignal(\"out\", [\"1\"]), ctx.getPin(\"escalarMuls\", [bigInt(ctx.getVar(\"nexps\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"1\"]));\n}\n", + "BinSum": "function(ctx) {\n ctx.setVar(\"nout\", [], ctx.callFunction(\"nbits\", [bigInt(bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"n\",[])), __P__)).add(__P__).sub(bigInt(\"1\")).mod(__P__)).mul(bigInt(ctx.getVar(\"ops\",[]))).mod(__P__)]));\n ctx.setVar(\"lin\", [], \"0\");\n ctx.setVar(\"lout\", [], \"0\");\n for (ctx.setVar(\"k\", [], \"0\");bigInt(ctx.getVar(\"k\",[])).lt(bigInt(ctx.getVar(\"n\",[]))) ? 1 : 0;(ctx.setVar(\"k\", [], bigInt(ctx.getVar(\"k\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n for (ctx.setVar(\"j\", [], \"0\");bigInt(ctx.getVar(\"j\",[])).lt(bigInt(ctx.getVar(\"ops\",[]))) ? 1 : 0;(ctx.setVar(\"j\", [], bigInt(ctx.getVar(\"j\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setVar(\"lin\", [], bigInt(ctx.getVar(\"lin\",[])).add(bigInt(bigInt(ctx.getSignal(\"in\", [ctx.getVar(\"j\",[]),ctx.getVar(\"k\",[])])).mul(bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"k\",[])), __P__))).mod(__P__))).mod(__P__));\n }\n\n }\n }\n\n }\n for (ctx.setVar(\"k\", [], \"0\");bigInt(ctx.getVar(\"k\",[])).lt(bigInt(ctx.getVar(\"nout\",[]))) ? 1 : 0;(ctx.setVar(\"k\", [], bigInt(ctx.getVar(\"k\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setSignal(\"out\", [ctx.getVar(\"k\",[])], bigInt(bigInt(ctx.getVar(\"k\",[])).greater(bigInt(256)) ? 0 : bigInt(ctx.getVar(\"lin\",[])).shr(bigInt(ctx.getVar(\"k\",[]))).and(__MASK__)).and(bigInt(\"1\")).and(__MASK__));\n ctx.assert(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"k\",[])])).mul(bigInt(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"k\",[])])).add(__P__).sub(bigInt(\"1\")).mod(__P__))).mod(__P__), \"0\");\n ctx.setVar(\"lout\", [], bigInt(ctx.getVar(\"lout\",[])).add(bigInt(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"k\",[])])).mul(bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"k\",[])), __P__))).mod(__P__))).mod(__P__));\n }\n\n }\n ctx.assert(ctx.getVar(\"lin\",[]), ctx.getVar(\"lout\",[]));\n}\n", + "IsZero": "function(ctx) {\n ctx.setSignal(\"inv\", [], bigInt((bigInt(ctx.getSignal(\"in\", [])).eq(bigInt(\"0\")) ? 0 : 1)).neq(bigInt(0)) ? (bigInt(\"1\").mul( bigInt(ctx.getSignal(\"in\", [])).inverse(__P__) ).mod(__P__)) : (\"0\"));\n ctx.setSignal(\"out\", [], bigInt(bigInt(__P__.sub(bigInt(ctx.getSignal(\"in\", []))).mod(__P__)).mul(bigInt(ctx.getSignal(\"inv\", []))).mod(__P__)).add(bigInt(\"1\")).mod(__P__));\n ctx.assert(ctx.getSignal(\"out\", []), bigInt(bigInt(__P__.sub(bigInt(ctx.getSignal(\"in\", []))).mod(__P__)).mul(bigInt(ctx.getSignal(\"inv\", []))).mod(__P__)).add(bigInt(\"1\")).mod(__P__));\n ctx.assert(bigInt(ctx.getSignal(\"in\", [])).mul(bigInt(ctx.getSignal(\"out\", []))).mod(__P__), \"0\");\n}\n", + "IsEqual": "function(ctx) {\n ctx.setPin(\"isz\", [], \"in\", [], bigInt(ctx.getSignal(\"in\", [\"1\"])).add(__P__).sub(bigInt(ctx.getSignal(\"in\", [\"0\"]))).mod(__P__));\n ctx.assert(ctx.getPin(\"isz\", [], \"in\", []), bigInt(ctx.getSignal(\"in\", [\"1\"])).add(__P__).sub(bigInt(ctx.getSignal(\"in\", [\"0\"]))).mod(__P__));\n ctx.setSignal(\"out\", [], ctx.getPin(\"isz\", [], \"out\", []));\n ctx.assert(ctx.getSignal(\"out\", []), ctx.getPin(\"isz\", [], \"out\", []));\n}\n", + "LessThan": "function(ctx) {\n ctx.setPin(\"num2Bits0\", [], \"in\", [], ctx.getSignal(\"in\", [\"0\"]));\n ctx.assert(ctx.getPin(\"num2Bits0\", [], \"in\", []), ctx.getSignal(\"in\", [\"0\"]));\n ctx.setPin(\"num2Bits1\", [], \"in\", [], ctx.getSignal(\"in\", [\"1\"]));\n ctx.assert(ctx.getPin(\"num2Bits1\", [], \"in\", []), ctx.getSignal(\"in\", [\"1\"]));\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(ctx.getVar(\"n\",[]))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setPin(\"adder\", [], \"in\", [\"0\",ctx.getVar(\"i\",[])], ctx.getPin(\"num2Bits0\", [], \"out\", [ctx.getVar(\"i\",[])]));\n ctx.assert(ctx.getPin(\"adder\", [], \"in\", [\"0\",ctx.getVar(\"i\",[])]), ctx.getPin(\"num2Bits0\", [], \"out\", [ctx.getVar(\"i\",[])]));\n ctx.setPin(\"adder\", [], \"in\", [\"1\",ctx.getVar(\"i\",[])], ctx.getPin(\"num2Bits1\", [], \"out\", [ctx.getVar(\"i\",[])]));\n ctx.assert(ctx.getPin(\"adder\", [], \"in\", [\"1\",ctx.getVar(\"i\",[])]), ctx.getPin(\"num2Bits1\", [], \"out\", [ctx.getVar(\"i\",[])]));\n }\n\n }\n ctx.setSignal(\"out\", [], ctx.getPin(\"adder\", [], \"out\", [bigInt(ctx.getVar(\"n\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)]));\n ctx.assert(ctx.getSignal(\"out\", []), ctx.getPin(\"adder\", [], \"out\", [bigInt(ctx.getVar(\"n\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)]));\n}\n", + "Num2Bits": "function(ctx) {\n ctx.setVar(\"lc1\", [], \"0\");\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(ctx.getVar(\"n\",[]))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setSignal(\"out\", [ctx.getVar(\"i\",[])], bigInt(bigInt(ctx.getVar(\"i\",[])).greater(bigInt(256)) ? 0 : bigInt(ctx.getSignal(\"in\", [])).shr(bigInt(ctx.getVar(\"i\",[]))).and(__MASK__)).and(bigInt(\"1\")).and(__MASK__));\n ctx.assert(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[])])).mul(bigInt(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[])])).add(__P__).sub(bigInt(\"1\")).mod(__P__))).mod(__P__), \"0\");\n ctx.setVar(\"lc1\", [], bigInt(ctx.getVar(\"lc1\",[])).add(bigInt(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[])])).mul(bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"i\",[])), __P__))).mod(__P__))).mod(__P__));\n }\n\n }\n ctx.assert(ctx.getVar(\"lc1\",[]), ctx.getSignal(\"in\", []));\n}\n", + "Bits2Num": "function(ctx) {\n ctx.setVar(\"lc1\", [], \"0\");\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(ctx.getVar(\"n\",[]))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setVar(\"lc1\", [], bigInt(ctx.getVar(\"lc1\",[])).add(bigInt(bigInt(ctx.getSignal(\"in\", [ctx.getVar(\"i\",[])])).mul(bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"i\",[])), __P__))).mod(__P__))).mod(__P__));\n }\n\n }\n ctx.setSignal(\"out\", [], ctx.getVar(\"lc1\",[]));\n ctx.assert(ctx.getSignal(\"out\", []), ctx.getVar(\"lc1\",[]));\n}\n", + "Num2BitsNeg": "function(ctx) {\n ctx.setVar(\"lc1\", [], \"0\");\n ctx.setVar(\"neg\", [], bigInt((bigInt(ctx.getVar(\"n\",[])).eq(bigInt(\"0\")) ? 1 : 0)).neq(bigInt(0)) ? (\"0\") : (bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"n\",[])), __P__)).add(__P__).sub(bigInt(ctx.getSignal(\"in\", []))).mod(__P__)));\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(ctx.getVar(\"n\",[]))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setSignal(\"out\", [ctx.getVar(\"i\",[])], bigInt(bigInt(ctx.getVar(\"i\",[])).greater(bigInt(256)) ? 0 : bigInt(ctx.getVar(\"neg\",[])).shr(bigInt(ctx.getVar(\"i\",[]))).and(__MASK__)).and(bigInt(\"1\")).and(__MASK__));\n ctx.assert(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[])])).mul(bigInt(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[])])).add(__P__).sub(bigInt(\"1\")).mod(__P__))).mod(__P__), \"0\");\n ctx.setVar(\"lc1\", [], bigInt(ctx.getVar(\"lc1\",[])).add(bigInt(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[])])).mul(bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"i\",[])), __P__))).mod(__P__))).mod(__P__));\n }\n\n }\n ctx.setPin(\"isZero\", [], \"in\", [], ctx.getSignal(\"in\", []));\n ctx.assert(ctx.getPin(\"isZero\", [], \"in\", []), ctx.getSignal(\"in\", []));\n ctx.assert(bigInt(ctx.getVar(\"lc1\",[])).add(bigInt(bigInt(ctx.getPin(\"isZero\", [], \"out\", [])).mul(bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"n\",[])), __P__))).mod(__P__))).mod(__P__), bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"n\",[])), __P__)).add(__P__).sub(bigInt(ctx.getSignal(\"in\", []))).mod(__P__));\n}\n", + "Main": "function(ctx) {\n ctx.setPin(\"n2b\", [\"0\"], \"in\", [], ctx.getSignal(\"in\", [\"0\"]));\n ctx.assert(ctx.getPin(\"n2b\", [\"0\"], \"in\", []), ctx.getSignal(\"in\", [\"0\"]));\n ctx.setPin(\"n2b\", [\"1\"], \"in\", [], ctx.getSignal(\"in\", [\"1\"]));\n ctx.assert(ctx.getPin(\"n2b\", [\"1\"], \"in\", []), ctx.getSignal(\"in\", [\"1\"]));\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(\"253\")) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setPin(\"pedersen\", [], \"in\", [ctx.getVar(\"i\",[])], ctx.getPin(\"n2b\", [\"0\"], \"out\", [ctx.getVar(\"i\",[])]));\n ctx.assert(ctx.getPin(\"pedersen\", [], \"in\", [ctx.getVar(\"i\",[])]), ctx.getPin(\"n2b\", [\"0\"], \"out\", [ctx.getVar(\"i\",[])]));\n ctx.setPin(\"pedersen\", [], \"in\", [bigInt(\"253\").add(bigInt(ctx.getVar(\"i\",[]))).mod(__P__)], ctx.getPin(\"n2b\", [\"1\"], \"out\", [ctx.getVar(\"i\",[])]));\n ctx.assert(ctx.getPin(\"pedersen\", [], \"in\", [bigInt(\"253\").add(bigInt(ctx.getVar(\"i\",[]))).mod(__P__)]), ctx.getPin(\"n2b\", [\"1\"], \"out\", [ctx.getVar(\"i\",[])]));\n }\n\n }\n ctx.setSignal(\"out\", [\"0\"], ctx.getPin(\"pedersen\", [], \"out\", [\"0\"]));\n ctx.assert(ctx.getSignal(\"out\", [\"0\"]), ctx.getPin(\"pedersen\", [], \"out\", [\"0\"]));\n ctx.setSignal(\"out\", [\"1\"], ctx.getPin(\"pedersen\", [], \"out\", [\"1\"]));\n ctx.assert(ctx.getSignal(\"out\", [\"1\"]), ctx.getPin(\"pedersen\", [], \"out\", [\"1\"]));\n}\n" }, "functions": { "pointAdd": { @@ -286,13 +122225,19 @@ "y2" ], "func": "function(ctx) {\n ctx.setVar(\"a\", [], \"168700\");\n ctx.setVar(\"d\", [], \"168696\");\n ctx.setVar(\"res\", [\"0\"], bigInt(bigInt(bigInt(ctx.getVar(\"x1\",[])).mul(bigInt(ctx.getVar(\"y2\",[]))).mod(__P__)).add(bigInt(bigInt(ctx.getVar(\"y1\",[])).mul(bigInt(ctx.getVar(\"x2\",[]))).mod(__P__))).mod(__P__)).mul( bigInt(bigInt(\"1\").add(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getVar(\"d\",[])).mul(bigInt(ctx.getVar(\"x1\",[]))).mod(__P__)).mul(bigInt(ctx.getVar(\"x2\",[]))).mod(__P__)).mul(bigInt(ctx.getVar(\"y1\",[]))).mod(__P__)).mul(bigInt(ctx.getVar(\"y2\",[]))).mod(__P__))).mod(__P__)).inverse(__P__) ).mod(__P__));\n ctx.setVar(\"res\", [\"1\"], bigInt(bigInt(bigInt(ctx.getVar(\"y1\",[])).mul(bigInt(ctx.getVar(\"y2\",[]))).mod(__P__)).add(__P__).sub(bigInt(bigInt(bigInt(ctx.getVar(\"a\",[])).mul(bigInt(ctx.getVar(\"x1\",[]))).mod(__P__)).mul(bigInt(ctx.getVar(\"x2\",[]))).mod(__P__))).mod(__P__)).mul( bigInt(bigInt(\"1\").add(__P__).sub(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getVar(\"d\",[])).mul(bigInt(ctx.getVar(\"x1\",[]))).mod(__P__)).mul(bigInt(ctx.getVar(\"x2\",[]))).mod(__P__)).mul(bigInt(ctx.getVar(\"y1\",[]))).mod(__P__)).mul(bigInt(ctx.getVar(\"y2\",[]))).mod(__P__))).mod(__P__)).inverse(__P__) ).mod(__P__));\n return ctx.getVar(\"res\",[]);;\n}\n" + }, + "nbits": { + "params": [ + "a" + ], + "func": "function(ctx) {\n ctx.setVar(\"n\", [], \"1\");\n ctx.setVar(\"r\", [], \"0\");\n while (bigInt(bigInt(ctx.getVar(\"n\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)).lt(bigInt(ctx.getVar(\"a\",[]))) ? 1 : 0) {\n {\n (ctx.setVar(\"r\", [], bigInt(ctx.getVar(\"r\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__);\n ctx.setVar(\"n\", [], bigInt(ctx.getVar(\"n\",[])).mul(bigInt(\"2\")).mod(__P__));\n }\n\n }\n return ctx.getVar(\"r\",[]);;\n}\n" } }, "nPrvInputs": 0, - "nPubInputs": 0, - "nInputs": 0, - "nOutputs": 0, - "nVars": 1, - "nConstants": 32, - "nSignals": 33 + "nPubInputs": 2, + "nInputs": 2, + "nOutputs": 2, + "nVars": 6013, + "nConstants": 4104, + "nSignals": 10117 } \ No newline at end of file diff --git a/circuit/pedersen.circom b/circuit/pedersen.circom index ab8d0b6..d4d185e 100644 --- a/circuit/pedersen.circom +++ b/circuit/pedersen.circom @@ -1,7 +1,7 @@ include "escalarmul.circom"; -component Pedersen(n) { +template Pedersen(n) { signal input in[n]; signal output out[2]; @@ -11,23 +11,24 @@ component Pedersen(n) { component escalarMuls[nexps]; var PBASE = [ - [17777552123799933955779906779655732241715742912184938656739573121738514868268, - 2626589144620713026669568689430873010625803728049924121243784502389097019475], - [17777552123799933955779906779655732241715742912184938656739573121738514868268, - 2626589144620713026669568689430873010625803728049924121243784502389097019475], - [17777552123799933955779906779655732241715742912184938656739573121738514868268, - 2626589144620713026669568689430873010625803728049924121243784502389097019475], - [17777552123799933955779906779655732241715742912184938656739573121738514868268, - 2626589144620713026669568689430873010625803728049924121243784502389097019475], - [17777552123799933955779906779655732241715742912184938656739573121738514868268, - 2626589144620713026669568689430873010625803728049924121243784502389097019475] + [ 6842263847932328569390632736104801120816056295876316310227967232893658007436, + 10520112236148895828506510766039255961372323270202387671483666293012156799229], + [ 7512553369533424708326990019377586455744651641787163924108944444109352325495, + 242060483180498555826438209654403949979206323274480625257315595534333598496], + [ 480315709862415282411588615813248553518720286084247594626493599605932342246, + 15016559215090999873142530067666085992648246670781771102893391410239675444873], + [ 8311398801616893527636419786153024398643144699386228070202625261657263599049, + 11125962584728296601438821974884453267303385157860713577195820780853779600315], + [ 1924118814882677827825936037840538695314492559747259292440881566152665343441, + 17232376423406964731689089286495480735310130852288107159412732879983310795144] ]; var i; var j; + var nexpbits; for (i=0; i n2b.in; - - for (i=0; i<253; i++) { - n2b.out[i] ==> escalarMul.in[i]; - } - - escalarMul.out[0] ==> out[0]; - escalarMul.out[1] ==> out[1]; -} - -component main = Main(); diff --git a/test/circuits/exp_test_min.circom b/test/circuits/exp_test_min.circom deleted file mode 100644 index c3a37be..0000000 --- a/test/circuits/exp_test_min.circom +++ /dev/null @@ -1,20 +0,0 @@ -include "../../circuit/escalarmul.circom"; - - -template Main() { - signal input in[256]; - signal output out[2]; - - var i; - - component escalarMul = EscalarMul(256); - - for (i=0; i<256; i++) { - in[i] ==> escalarMul.in[i]; - } - - escalarMul.out[0] ==> out[0]; - escalarMul.out[1] ==> out[1]; -} - -component main = Main(); diff --git a/test/circuits/pedersen_test.circom b/test/circuits/pedersen_test.circom new file mode 100644 index 0000000..9d0056f --- /dev/null +++ b/test/circuits/pedersen_test.circom @@ -0,0 +1,29 @@ +include "../../circuit/pedersen.circom"; +include "../../node_modules/circom/circuits/bitify.circom"; + + +template Main() { + signal input in[2]; + signal output out[2]; + + component pedersen = Pedersen(253*2); + + component n2b[2]; + n2b[0] = Num2Bits(253); + n2b[1] = Num2Bits(253); + + var i; + + in[0] ==> n2b[0].in; + in[1] ==> n2b[1].in; + + for (i=0; i<253; i++) { + n2b[0].out[i] ==> pedersen.in[i]; + n2b[1].out[i] ==> pedersen.in[253+i]; + } + + pedersen.out[0] ==> out[0]; + pedersen.out[1] ==> out[1]; +} + +component main = Main(); diff --git a/test/pedersen.js b/test/pedersen.js new file mode 100644 index 0000000..2a00518 --- /dev/null +++ b/test/pedersen.js @@ -0,0 +1,105 @@ +const chai = require("chai"); +const path = require("path"); +const snarkjs = require("snarkjs"); +const compiler = require("circom"); + +const assert = chai.assert; + +const bigInt = snarkjs.bigInt; + +const babyJub = require("../src/babyjub.js"); + +const PBASE = + [ + [ bigInt( "6842263847932328569390632736104801120816056295876316310227967232893658007436"), + bigInt("10520112236148895828506510766039255961372323270202387671483666293012156799229")], + [ bigInt( "7512553369533424708326990019377586455744651641787163924108944444109352325495"), + bigInt( "242060483180498555826438209654403949979206323274480625257315595534333598496")], + [ bigInt( "480315709862415282411588615813248553518720286084247594626493599605932342246"), + bigInt("15016559215090999873142530067666085992648246670781771102893391410239675444873")], + [ bigInt( "8311398801616893527636419786153024398643144699386228070202625261657263599049"), + bigInt("11125962584728296601438821974884453267303385157860713577195820780853779600315")], + [ bigInt( "1924118814882677827825936037840538695314492559747259292440881566152665343441"), + bigInt("17232376423406964731689089286495480735310130852288107159412732879983310795144")] + ]; + +describe("Double Pedersen test", function() { + let circuit; + this.timeout(100000); + before( async() => { + const cirDef = await compiler(path.join(__dirname, "circuits", "pedersen_test.circom")); + + circuit = new snarkjs.Circuit(cirDef); + + console.log("NConstrains: " + circuit.nConstraints); + }); + it("Should pedersen at zero", async () => { + + let w, xout, yout; + + w = circuit.calculateWitness({ in: ["0", "0"]}); + + xout = w[circuit.getSignalIdx("main.out[0]")]; + yout = w[circuit.getSignalIdx("main.out[1]")]; + + assert(xout.equals("0")); + assert(yout.equals("1")); + }); + it("Should pedersen at one first generator", async () => { + let w, xout, yout; + + w = circuit.calculateWitness({ in: ["1", "0"]}); + + xout = bigInt(w[circuit.getSignalIdx("main.out[0]")]); + yout = bigInt(w[circuit.getSignalIdx("main.out[1]")]); + + assert(xout.equals(PBASE[0][0])); + assert(yout.equals(PBASE[0][1])); + }); + it("Should pedersen at one second generator", async () => { + let w, xout, yout; + + w = circuit.calculateWitness({ in: ["0", "1"]}); + + xout = w[circuit.getSignalIdx("main.out[0]")]; + yout = w[circuit.getSignalIdx("main.out[1]")]; + + assert(xout.equals(PBASE[1][0])); + assert(yout.equals(PBASE[1][1])); + + }); + it("Should pedersen at mixed generators", async () => { + let w, xout, yout; + w = circuit.calculateWitness({ in: ["3", "7"]}); + + xout = w[circuit.getSignalIdx("main.out[0]")]; + yout = w[circuit.getSignalIdx("main.out[1]")]; + + + const r = babyJub.addPoint( + babyJub.mulPointEscalar(PBASE[0], 3), + babyJub.mulPointEscalar(PBASE[1], 7) + ); + + assert(xout.equals(r[0])); + assert(yout.equals(r[1])); + + }); + it("Should pedersen all ones", async () => { + let w, xout, yout; + + const allOnes = bigInt("1").shl(253).sub(bigInt("1")); + w = circuit.calculateWitness({ in: [allOnes, allOnes]}); + + xout = w[circuit.getSignalIdx("main.out[0]")]; + yout = w[circuit.getSignalIdx("main.out[1]")]; + + const r2 = babyJub.addPoint( + babyJub.mulPointEscalar(PBASE[0], allOnes), + babyJub.mulPointEscalar(PBASE[1], allOnes) + ); + + assert(xout.equals(r2[0])); + assert(yout.equals(r2[1])); + }); +});