From 0c19558260c5fd9c984f725e69054170ec903a14 Mon Sep 17 00:00:00 2001 From: Jordi Baylina Date: Sat, 27 Apr 2019 07:09:17 +0200 Subject: [PATCH] Improvement in multiexp --- build/groth16_wasm.js | 2 +- build/websnark.js | 7 +- example/index.html | 38 +++++- example/proof.json | 16 +-- example/proving_key.json | 4 +- example/websnark.js | 7 +- main.js | 1 + src/build_multiexp.js | 266 +++++++++++++++++++++++++++++++++++++++ src/groth16.js | 4 +- test/groth16.js | 43 +++++++ 10 files changed, 368 insertions(+), 20 deletions(-) diff --git a/build/groth16_wasm.js b/build/groth16_wasm.js index de0fb1c..7d0ac69 100644 --- a/build/groth16_wasm.js +++ b/build/groth16_wasm.js @@ -1,5 +1,5 @@ - exports.code = new 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"base64"); + exports.code = new Buffer("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"base64"); exports.pq = 1000; exports.pr = 1768; \ No newline at end of file diff --git a/build/websnark.js b/build/websnark.js index 9658277..7d60f6e 100644 --- a/build/websnark.js +++ b/build/websnark.js @@ -1,7 +1,7 @@ (function(){function r(e,n,t){function o(i,f){if(!n[i]){if(!e[i]){var c="function"==typeof require&&require;if(!f&&c)return c(i,!0);if(u)return u(i,!0);var a=new Error("Cannot find module '"+i+"'");throw a.code="MODULE_NOT_FOUND",a}var p=n[i]={exports:{}};e[i][0].call(p.exports,function(r){var n=e[i][1][r];return o(n||r)},p,p.exports,r,e,n,t)}return n[i].exports}for(var u="function"==typeof require&&require,i=0;i { + window.groth16 = groth16; window.genZKSnarkProof = function(witness, provingKey, cb) { const p = groth16.proof(witness, provingKey); @@ -1604,7 +1605,7 @@ function thread(self) { const pPoints = putBin(data.points); const pRes = alloc(96); instance.exports.g1_zero(pRes); - instance.exports.g1_multiexp(pScalars, pPoints, data.n, 5, pRes); + instance.exports.g1_multiexp2(pScalars, pPoints, data.n, 7, pRes); data.result = getBin(pRes, 96); i32[0] = oldAlloc; @@ -1616,7 +1617,7 @@ function thread(self) { const pPoints = putBin(data.points); const pRes = alloc(192); instance.exports.g2_zero(pRes); - instance.exports.g2_multiexp(pScalars, pPoints, data.n, 5, pRes); + instance.exports.g2_multiexp(pScalars, pPoints, data.n, 7, pRes); data.result = getBin(pRes, 192); i32[0] = oldAlloc; diff --git a/example/index.html b/example/index.html index 1245873..9d199fc 100644 --- a/example/index.html +++ b/example/index.html @@ -5,7 +5,7 @@

iden3

diff --git a/example/proof.json b/example/proof.json index 1740cf1..29ff060 100644 --- a/example/proof.json +++ b/example/proof.json @@ -1,17 +1,17 @@ { "pi_a": [ - "21266998874284424955919569029881989465699205822263354313670808828909395154496", - "13808207576200570409195938017448994370347750586807229689124956313666939364223", + "19680154454022615560994181976731030733614160737391726320224655882461434003166", + "14506888714805765338667645951908780974880796110792314129555830081443197782938", "1" ], "pi_b": [ [ - "20826174028125964218380958569361176477127093215239661788856774751838141561143", - "18124837593398705925374973761391356712682789028723957898056733210681657516129" + "16059656683940257022054872908684774362474111955649045792819322627462560715137", + "13049852697262082406165451331450805322803524667445339527980660565015589621048" ], [ - "11061422325891624289091287264538564377906983481144726751439738589444312205684", - "7233025874448062341952037774861209177679802086176943726704101043680595476782" + "20605106377063342149927518751710651784145311256228815403731163542864993273015", + "21378404564638469836584392472267247126799346914748790175589924808523044347833" ], [ "1", @@ -19,8 +19,8 @@ ] ], "pi_c": [ - "16878419494624994424179370797390123339814891459464251523862017440818718425099", - "2746788445790348352996135341367179450489222192737650564198988415207995710311", + "16518590357890849860540962532185420206527846553862686657897809347816474967134", + "442279217743037306980955273644081896885475014739846912647180713387538594883", "1" ] } diff --git a/example/proving_key.json b/example/proving_key.json index f1e0181..4da528a 100644 --- a/example/proving_key.json +++ b/example/proving_key.json @@ -1,4 +1,4 @@ -{ + { "protocol": "groth", "nVars": 66232, "nPublic": 58, @@ -2884580,4 +2884580,4 @@ "1" ] ] -} \ No newline at end of file +} diff --git a/example/websnark.js b/example/websnark.js index 9658277..7d60f6e 100644 --- a/example/websnark.js +++ b/example/websnark.js @@ -1,7 +1,7 @@ (function(){function r(e,n,t){function o(i,f){if(!n[i]){if(!e[i]){var c="function"==typeof require&&require;if(!f&&c)return c(i,!0);if(u)return u(i,!0);var a=new Error("Cannot find module '"+i+"'");throw a.code="MODULE_NOT_FOUND",a}var p=n[i]={exports:{}};e[i][0].call(p.exports,function(r){var n=e[i][1][r];return o(n||r)},p,p.exports,r,e,n,t)}return n[i].exports}for(var u="function"==typeof require&&require,i=0;i { + window.groth16 = groth16; window.genZKSnarkProof = function(witness, provingKey, cb) { const p = groth16.proof(witness, provingKey); @@ -1604,7 +1605,7 @@ function thread(self) { const pPoints = putBin(data.points); const pRes = alloc(96); instance.exports.g1_zero(pRes); - instance.exports.g1_multiexp(pScalars, pPoints, data.n, 5, pRes); + instance.exports.g1_multiexp2(pScalars, pPoints, data.n, 7, pRes); data.result = getBin(pRes, 96); i32[0] = oldAlloc; @@ -1616,7 +1617,7 @@ function thread(self) { const pPoints = putBin(data.points); const pRes = alloc(192); instance.exports.g2_zero(pRes); - instance.exports.g2_multiexp(pScalars, pPoints, data.n, 5, pRes); + instance.exports.g2_multiexp(pScalars, pPoints, data.n, 7, pRes); data.result = getBin(pRes, 192); i32[0] = oldAlloc; diff --git a/main.js b/main.js index 1d81e67..042a1d7 100644 --- a/main.js +++ b/main.js @@ -22,6 +22,7 @@ const buildGroth16 = require("./src/groth16.js"); buildGroth16().then( (groth16) => { + window.groth16 = groth16; window.genZKSnarkProof = function(witness, provingKey, cb) { const p = groth16.proof(witness, provingKey); diff --git a/src/build_multiexp.js b/src/build_multiexp.js index 31bd2ab..4dfcfc5 100644 --- a/src/build_multiexp.js +++ b/src/build_multiexp.js @@ -428,6 +428,7 @@ module.exports = function buildMultiexp(module, prefix, curvePrefix, pointFieldP f.addCode(c.getLocal("pr")); } + function buildMulw() { const f = module.addFunction(prefix+"__mulw"); f.addParam("pscalars", "i32"); @@ -578,6 +579,264 @@ module.exports = function buildMultiexp(module, prefix, curvePrefix, pointFieldP )); } + + function buildMulw2() { + const f = module.addFunction(prefix+"__mulw2"); + f.addParam("pscalars", "i32"); + f.addParam("ppoints", "i32"); + f.addParam("w", "i32"); // Window size Max 8 + f.addParam("pr", "i32"); + f.addLocal("i", "i32"); + f.addLocal("pd", "i32"); + + const c = f.getCodeBuilder(); + + const psels = module.alloc(scalarN8 * 8); + + f.addCode(c.call( + prefix + "__packbits", + c.getLocal("pscalars"), + c.getLocal("w"), + c.i32_const(psels) + )); + + f.addCode(c.call( + prefix + "__ptable_reset", + c.getLocal("ppoints"), + c.getLocal("w") + )); + + + f.addCode(c.setLocal("i", c.i32_const(0))); + f.addCode(c.block(c.loop( + c.br_if( + 1, + c.i32_eq( + c.getLocal("i"), + c.i32_const(scalarN8 * 8) + ) + ), + + c.setLocal( + "pd", + c.i32_add( + c.getLocal("pr"), + c.i32_mul( + c.getLocal("i"), + c.i32_const(pointN8) + ) + ) + ), + + c.call(curvePrefix + "_add", + c.getLocal("pd"), + c.call( + prefix + "__ptable_get", + c.i32_load8_u( + c.i32_sub( + c.i32_const(psels + scalarN8 * 8 -1), + c.getLocal("i") + ) + ) + ), + c.getLocal("pd") + ), + + c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), + c.br(0) + ))); + + } + + function buildMultiexp2() { + const f = module.addFunction(prefix+"_multiexp2"); + f.addParam("pscalars", "i32"); + f.addParam("ppoints", "i32"); + f.addParam("n", "i32"); // Number of points + f.addParam("w", "i32"); // Window size Max 8 + f.addParam("pr", "i32"); + f.addLocal("ps", "i32"); + f.addLocal("pp", "i32"); + f.addLocal("wf", "i32"); + f.addLocal("lastps", "i32"); + + const c = f.getCodeBuilder(); + + const accumulators = c.i32_const(module.alloc(pointN8*scalarN8*8)); + const aux = c.i32_const(module.alloc(pointN8)); + + f.addCode(c.call(prefix + "__resetAccumulators", accumulators, c.i32_const(scalarN8*8))); + + f.addCode(c.setLocal("ps", c.getLocal("pscalars"))); + f.addCode(c.setLocal("pp", c.getLocal("ppoints"))); + + f.addCode(c.setLocal( + "lastps", + c.i32_add( + c.getLocal("ps"), + c.i32_mul( + c.i32_mul( + c.i32_div_u( + c.getLocal("n"), + c.getLocal("w") + ), + c.getLocal("w") + ), + c.i32_const(scalarN8) + ) + ) + )); + + f.addCode(c.block(c.loop( + c.br_if( + 1, + c.i32_eq( + c.getLocal("ps"), + c.getLocal("lastps") + ) + ), + + c.call(prefix + "__mulw2", c.getLocal("ps"), c.getLocal("pp"), c.getLocal("w"), accumulators), + + c.setLocal( + "ps", + c.i32_add( + c.getLocal("ps"), + c.i32_mul( + c.i32_const(scalarN8), + c.getLocal("w") + ) + ) + ), + + c.setLocal( + "pp", + c.i32_add( + c.getLocal("pp"), + c.i32_mul( + c.i32_const(pointFieldN8*2), + c.getLocal("w") + ) + ) + ), + + c.br(0) + ))); + + f.addCode(c.setLocal("wf", c.i32_rem_u(c.getLocal("n"), c.getLocal("w")))); + + f.addCode(c.if( + c.getLocal("wf"), + [ + ...c.call(prefix + "__mulw2", c.getLocal("ps"), c.getLocal("pp"), c.getLocal("wf"), accumulators), + ] + )); + + f.addCode(c.call( + prefix + "__addAccumulators", + accumulators, + c.i32_const(scalarN8*8), + aux + )); + + f.addCode(c.call(curvePrefix + "_add", aux, c.getLocal("pr"), c.getLocal("pr"))); + + } + + function buildResetAccumulators() { + const f = module.addFunction(prefix+"__resetAccumulators"); + f.addParam("paccumulators", "i32"); + f.addParam("n", "i32"); // Number of points + f.addLocal("i", "i32"); + + const c = f.getCodeBuilder(); + + f.addCode(c.setLocal("i", c.i32_const(0))); + f.addCode(c.block(c.loop( + c.br_if( + 1, + c.i32_eq( + c.getLocal("i"), + c.getLocal("n") + ) + ), + + c.call( + curvePrefix + "_zero", + c.i32_add( + c.getLocal("paccumulators"), + c.i32_mul( + c.getLocal("i"), + c.i32_const(pointN8) + ) + ) + ), + + c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), + c.br(0) + + ))); + } + + function buildAddAccumulators() { + const f = module.addFunction(prefix+"__addAccumulators"); + f.addParam("paccumulators", "i32"); + f.addParam("n", "i32"); // Number of points + f.addParam("pr", "i32"); + f.addLocal("i", "i32"); + f.addLocal("p", "i32"); + + const c = f.getCodeBuilder(); + +/* + f.addCode(c.setLocal( + "p", + c.i32_add( + c.getLocal("paccumulators"), + c.i32_sub( + c.i32_mul( + c.getLocal("n"), + c.i32_const(pointN8) + ), + c.i32_const(pointN8) + ) + ) + )); +*/ + f.addCode(c.setLocal("p",c.getLocal("paccumulators"))); + + f.addCode(c.call(curvePrefix + "_copy", c.getLocal("p"), c.getLocal("pr"))); + f.addCode(c.setLocal("p", c.i32_add(c.getLocal("p"), c.i32_const(pointN8)))); + + f.addCode(c.setLocal("i", c.i32_const(1))); + f.addCode(c.block(c.loop( + c.br_if( + 1, + c.i32_eq( + c.getLocal("i"), + c.getLocal("n") + ) + ), + + c.call( + curvePrefix + "_double", + c.getLocal("pr"), + c.getLocal("pr") + ), + + c.call( + curvePrefix + "_add", + c.getLocal("p"), + c.getLocal("pr"), + c.getLocal("pr") + ), + + c.setLocal("p", c.i32_add(c.getLocal("p"), c.i32_const(pointN8))), + c.setLocal("i", c.i32_add(c.getLocal("i"), c.i32_const(1))), + c.br(0) + ))); + } + buildSetSet(); buildSetIsSet(); buildPTableReset(); @@ -585,7 +844,14 @@ module.exports = function buildMultiexp(module, prefix, curvePrefix, pointFieldP buildPackBits(); buildMulw(); buildMultiexp(); + + buildMulw2(); + buildResetAccumulators(); + buildAddAccumulators(); + buildMultiexp2(); + module.exportFunction(prefix+"_multiexp"); + module.exportFunction(prefix+"_multiexp2"); }; diff --git a/src/groth16.js b/src/groth16.js index b9e66ea..cc0f647 100644 --- a/src/groth16.js +++ b/src/groth16.js @@ -101,7 +101,7 @@ function thread(self) { const pPoints = putBin(data.points); const pRes = alloc(96); instance.exports.g1_zero(pRes); - instance.exports.g1_multiexp(pScalars, pPoints, data.n, 5, pRes); + instance.exports.g1_multiexp2(pScalars, pPoints, data.n, 7, pRes); data.result = getBin(pRes, 96); i32[0] = oldAlloc; @@ -113,7 +113,7 @@ function thread(self) { const pPoints = putBin(data.points); const pRes = alloc(192); instance.exports.g2_zero(pRes); - instance.exports.g2_multiexp(pScalars, pPoints, data.n, 5, pRes); + instance.exports.g2_multiexp(pScalars, pPoints, data.n, 7, pRes); data.result = getBin(pRes, 192); i32[0] = oldAlloc; diff --git a/test/groth16.js b/test/groth16.js index efecc63..a2ab1aa 100644 --- a/test/groth16.js +++ b/test/groth16.js @@ -7,6 +7,48 @@ const snarkjs = require("snarkjs"); const buildGroth16 = require("../index.js").buildGroth16; describe("Basic tests for groth16 proof generator", () => { + it("should do basic multiexponentiation", async () => { + const groth16 = await buildGroth16(); + + const signalsAll = fs.readFileSync(path.join(__dirname, "data", "witness.bin")); + const provingKey = fs.readFileSync(path.join(__dirname, "data", "proving_key.bin")); + + const nSignals = 1; + + const pkey32 = new Uint32Array(provingKey); + const pPointsA = pkey32[5]; + + const points = provingKey.slice(pPointsA, pPointsA + nSignals*64); + const signals = signalsAll.slice(0, nSignals*32); + + const pr1 = groth16.alloc(96); + const pPoints = groth16.alloc(points.byteLength); + groth16.putBin(pPoints, points); + + const pSignals = groth16.alloc(signals.byteLength); + groth16.putBin(pSignals, signals); + + groth16.instance.exports.g1_zero(pr1); + groth16.instance.exports.g1_multiexp(pSignals, pPoints, nSignals, 1, pr1); + groth16.instance.exports.g1_affine(pr1, pr1); + groth16.instance.exports.g1_fromMontgomery(pr1, pr1); + + const r1 = groth16.bin2g1(groth16.getBin(pr1, 96)); + + groth16.instance.exports.g1_zero(pr1); + groth16.instance.exports.g1_multiexp2(pSignals, pPoints, nSignals, 1, pr1); + groth16.instance.exports.g1_affine(pr1, pr1); + groth16.instance.exports.g1_fromMontgomery(pr1, pr1); + + const r2 = groth16.bin2g1(groth16.getBin(pr1, 96)); + + assert.equal(r1[0],r2[0]); + assert.equal(r1[1],r2[1]); + + groth16.terminate(); + + }); + it("It should do a basic point doubling G1", async () => { const groth16 = await buildGroth16(); @@ -22,4 +64,5 @@ describe("Basic tests for groth16 proof generator", () => { groth16.terminate(); }).timeout(10000000); + });