From ffa6754fa60d1572196ba539479f6dc818fb72c6 Mon Sep 17 00:00:00 2001 From: Deepak Maram Date: Thu, 4 May 2023 18:39:30 -0400 Subject: [PATCH 01/32] Commit all circuit-related code --- .gitignore | 5 +- openid-zkp-auth/README.md | 50 + openid-zkp-auth/circuits/google.circom | 7 + .../circuits/helpers/base64.circom | 135 + openid-zkp-auth/circuits/helpers/misc.circom | 250 ++ .../circuits/helpers/sha256.circom | 178 ++ .../circuits/helpers/strings.circom | 224 ++ .../circuits/helpers/zkhasher.circom | 30 + openid-zkp-auth/circuits/jwt_proof_ua.circom | 170 + openid-zkp-auth/circuits/twitch.circom | 7 + openid-zkp-auth/js/circuitutils.js | 169 + openid-zkp-auth/js/constants.js | 15 + openid-zkp-auth/js/jwtutils.js | 277 ++ openid-zkp-auth/js/prove.js | 156 + openid-zkp-auth/js/utils.js | 107 + openid-zkp-auth/js/verify.js | 122 + openid-zkp-auth/package-lock.json | 2829 +++++++++++++++++ openid-zkp-auth/package.json | 27 + openid-zkp-auth/test/base64.circom.test.js | 36 + openid-zkp-auth/test/main.circom.test.js | 276 ++ openid-zkp-auth/test/masking.test.js | 161 + openid-zkp-auth/test/misc.circom.test.js | 337 ++ openid-zkp-auth/test/sha256.circom.test.js | 100 + openid-zkp-auth/test/strings.circom.test.js | 337 ++ openid-zkp-auth/test/testutils.js | 57 + openid-zkp-auth/test/utils.test.js | 249 ++ openid-zkp-auth/test/zkhasher.circom.test.js | 100 + openid-zkp-auth/testvectors.js | 62 + 28 files changed, 6472 insertions(+), 1 deletion(-) create mode 100644 openid-zkp-auth/README.md create mode 100644 openid-zkp-auth/circuits/google.circom create mode 100644 openid-zkp-auth/circuits/helpers/base64.circom create mode 100644 openid-zkp-auth/circuits/helpers/misc.circom create mode 100644 openid-zkp-auth/circuits/helpers/sha256.circom create mode 100644 openid-zkp-auth/circuits/helpers/strings.circom create mode 100644 openid-zkp-auth/circuits/helpers/zkhasher.circom create mode 100644 openid-zkp-auth/circuits/jwt_proof_ua.circom create mode 100644 openid-zkp-auth/circuits/twitch.circom create mode 100644 openid-zkp-auth/js/circuitutils.js create mode 100644 openid-zkp-auth/js/constants.js create mode 100644 openid-zkp-auth/js/jwtutils.js create mode 100644 openid-zkp-auth/js/prove.js create mode 100644 openid-zkp-auth/js/utils.js create mode 100644 openid-zkp-auth/js/verify.js create mode 100644 openid-zkp-auth/package-lock.json create mode 100644 openid-zkp-auth/package.json create mode 100644 openid-zkp-auth/test/base64.circom.test.js create mode 100644 openid-zkp-auth/test/main.circom.test.js create mode 100644 openid-zkp-auth/test/masking.test.js create mode 100644 openid-zkp-auth/test/misc.circom.test.js create mode 100644 openid-zkp-auth/test/sha256.circom.test.js create mode 100644 openid-zkp-auth/test/strings.circom.test.js create mode 100644 openid-zkp-auth/test/testutils.js create mode 100644 openid-zkp-auth/test/utils.test.js create mode 100644 openid-zkp-auth/test/zkhasher.circom.test.js create mode 100644 openid-zkp-auth/testvectors.js diff --git a/.gitignore b/.gitignore index f62a47e40e..fc12992d1e 100644 --- a/.gitignore +++ b/.gitignore @@ -6,4 +6,7 @@ fastcrypto/Cargo.lock fastcrypto-derive/Cargo.lock # .DS_Store files -.DS_Store \ No newline at end of file +.DS_Store + +# JS +node_modules/ diff --git a/openid-zkp-auth/README.md b/openid-zkp-auth/README.md new file mode 100644 index 0000000000..9f5a0c1e5c --- /dev/null +++ b/openid-zkp-auth/README.md @@ -0,0 +1,50 @@ +# zkLogin circuits + +Install via `npm install` + +## Filetree Description + +```bash +circuits/ + google.circom # Runner with Google's params + jwt_proof_ua.circom # Starting file for circuit code + twitch.circom # Runner with Twitch's params + helpers/ + base64.circom + misc.circom + sha256.circom + strings.circom + zkhasher.circom +js/ + circuitutils.js # Circuit utilities + constants.js + jwtutils.js # JWT utilities + prove.js # Helper script to run the ZKP using a given zkey, vkey, JWT + utils.js # Generic utilities + verify.js +test/ + testutils.js # Test utilities + xyz.circom.test.js # testing circom code + abc.test.js # testing js code +testvectors.js # Real JWTs +``` + +## Steps to generate the ZKP + +1. Create a folder named `google` inside `openid-zkp-auth`. + +2. Get pre-generated trusted setup: wget https://hermez.s3-eu-west-1.amazonaws.com/powersOfTau28_hez_final_19.ptau. Place it inside `google`. + +3. Generate R1CS and witness generator (WASM): `circom circuits/google.circom --r1cs --wasm --output google` + +4. Run circuit-specific trusted setup: `snarkjs groth16 setup google.r1cs powersOfTau28_hez_final_19.ptau google.zkey` + +5. Export verification key: `snarkjs zkey export verificationkey google.zkey google.vkey` + +6. Generate a OpenID signature (with the default JWT): ``npm run prove``. It generates three files: the zk proof (`google.proof`), auxiliary inputs to the verifier (`aux.json`) and public inputs to the ZKP (`public.json`) inside the `google` folder. + +The above steps can be repeated with `twitch` except you'd need to run ``npm run prove twitch``. + +## Tests + +``npm run test`` \ No newline at end of file diff --git a/openid-zkp-auth/circuits/google.circom b/openid-zkp-auth/circuits/google.circom new file mode 100644 index 0000000000..3573a63823 --- /dev/null +++ b/openid-zkp-auth/circuits/google.circom @@ -0,0 +1,7 @@ +pragma circom 2.1.3; + +include "jwt_proof_ua.circom"; + +component main { + public [all_inputs_hash] +} = JwtProofUA(64*12, 36); \ No newline at end of file diff --git a/openid-zkp-auth/circuits/helpers/base64.circom b/openid-zkp-auth/circuits/helpers/base64.circom new file mode 100644 index 0000000000..e9598c3596 --- /dev/null +++ b/openid-zkp-auth/circuits/helpers/base64.circom @@ -0,0 +1,135 @@ +pragma circom 2.1.3; + +include "misc.circom"; + +function asciiToBase64Url(i) { + var base64 = 0; + if (i >= 65 && i <= 90) { // A to Z + base64 = i - 65; + } else if (i >= 97 && i <= 122) { // a to z + base64 = i - 71; + } else if (i >= 48 && i <= 57) { // 0 to 9 + base64 = i + 4; + } else if (i == 45) { // - + base64 = 62; + } else if (i == 95) { // _ + base64 = 63; + } + return base64; +} + +/** +Takes as input a base64url character and outputs the corresponding 6-bit value. +If not a valid base64 character, outputs 0. + +Cost: 73 constraints + +- in: The base64url character. Assumed to be a 8-bit number, i.e., in [0, 256) + NOTE: Behavior is undefined otherwise. +- out: The 6-bit value +*/ +template B64URLToBits() { + signal input in; + signal output out[6]; + + signal outascii; + outascii <-- asciiToBase64Url(in); + + component lt91; + lt91 = LessThan(8); + lt91.in[0] <== in; + lt91.in[1] <== 91; + + component gt64; + gt64 = GreaterThan(8); + gt64.in[0] <== in; + gt64.in[1] <== 64; + + component forceequal1; + forceequal1 = MyForceEqualIfEnabled(); + forceequal1.enabled <== lt91.out * gt64.out; + forceequal1.in[0] <== outascii; + forceequal1.in[1] <== in - 65; + + component lt123; + lt123 = LessThan(8); + lt123.in[0] <== in; + lt123.in[1] <== 123; + + component gt96; + gt96 = GreaterThan(8); + gt96.in[0] <== in; + gt96.in[1] <== 96; + + component forceequal2; + forceequal2 = MyForceEqualIfEnabled(); + forceequal2.enabled <== lt123.out * gt96.out; + forceequal2.in[0] <== outascii; + forceequal2.in[1] <== in - 71; + + component lt58; + lt58 = LessThan(8); + lt58.in[0] <== in; + lt58.in[1] <== 58; + + component gt47; + gt47 = GreaterThan(8); + gt47.in[0] <== in; + gt47.in[1] <== 47; + + component forceequal3; + forceequal3 = MyForceEqualIfEnabled(); + forceequal3.enabled <== lt58.out * gt47.out; + forceequal3.in[0] <== outascii; + forceequal3.in[1] <== in + 4; + + component eq45; + eq45 = IsEqual(); + eq45.in[0] <== in; + eq45.in[1] <== 45; + + component forceequal4; + forceequal4 = MyForceEqualIfEnabled(); + forceequal4.enabled <== eq45.out; + forceequal4.in[0] <== outascii; + forceequal4.in[1] <== 62; + + component eq95; + eq95 = IsEqual(); + eq95.in[0] <== in; + eq95.in[1] <== 95; + + component forceequal5; + forceequal5 = MyForceEqualIfEnabled(); + forceequal5.enabled <== eq95.out; + forceequal5.in[0] <== outascii; + forceequal5.in[1] <== 63; + + // Note: any = 0 happens only if all the enabled signals are 0. + // This is because all the enabled signals are guaranteed to be either 0 or 1. + var any = 1 - (forceequal1.enabled + forceequal2.enabled + forceequal3.enabled + forceequal4.enabled + forceequal5.enabled); + + component forceequal6; + forceequal6 = MyForceEqualIfEnabled(); + forceequal6.enabled <== any; + forceequal6.in[0] <== outascii; + forceequal6.in[1] <== 0; + + component convert = Num2BitsBE(6); + convert.in <== outascii; + for (var i = 0; i < 6; i++) { + out[i] <== convert.out[i]; + } +} + +template MultiB64URLToBits(n) { + signal input in[n]; + signal output out[n * 6]; + + for (var i = 0; i < n; i++) { + var bits[6] = B64URLToBits()(in[i]); + for (var j = 0; j < 6; j++) { + out[i * 6 + j] <== bits[j]; + } + } +} \ No newline at end of file diff --git a/openid-zkp-auth/circuits/helpers/misc.circom b/openid-zkp-auth/circuits/helpers/misc.circom new file mode 100644 index 0000000000..72cec228a7 --- /dev/null +++ b/openid-zkp-auth/circuits/helpers/misc.circom @@ -0,0 +1,250 @@ +pragma circom 2.1.3; + +include "../../node_modules/circomlib/circuits/comparators.circom"; +include "../../node_modules/circomlib/circuits/gates.circom"; +include "../../node_modules/circomlib/circuits/mux2.circom"; +include "../../node_modules/circomlib/circuits/multiplexer.circom"; + +/** +RemainderMod4: Calculates in % 4. + +Construction Params: + - n: The bitwidth of in. + +Range checks: + - 0 <= in < 2^n (Checked in Num2Bits) +**/ +template RemainderMod4(n) { + assert(n <= 252); // n <= log(p) - 2 + + signal input in; + signal output out; + + component toBits = Num2Bits(n); + toBits.in <== in; + out <== 2 * toBits.out[1] + toBits.out[0]; +} + + +/** +RangeCheck: Checks if 0 <= in <= max. + +Construction params: + - n: The bitwidth of in and max. + - max: The maximum value that in can take. + +Range checks: + - 0 <= in (Checked in Num2Bits) + - in <= max +**/ +template RangeCheck(n, max) { + assert(n <= 252); // n <= log(p) - 2 + assert(max >= 0); + assert(numBits(max) <= n); + + signal input in; + var unusedVar[n] = Num2Bits(n)(in); + + signal leq <== LessEqThan(n)([in, max]); + leq === 1; +} + +// Returns the number of bits needed to represent a number. +// Helper function intended to operate only over construction params. +function numBits(a) { + assert(a >= 0); + if (a == 0 || a == 1) { + return 1; + } + return 1 + numBits(a >> 1); +} + +/** +Num2BitsBE: Converts a number to a list of bits, in big-endian order. + +Range checks: + - 0 <= in < 2^n (Like with Num2Bits). +**/ +template Num2BitsBE(n) { + assert(n <= 252); // n <= log(p) - 2 + + signal input in; + signal output out[n]; + var lc1 = 0; + + var e2 = 1; + for (var i = 0; i < n; i++) { + var b = (n - 1) - i; + out[b] <-- (in >> i) & 1; + out[b] * (out[b] - 1 ) === 0; + lc1 += out[b] * e2; + e2 = e2 + e2; + } + + lc1 === in; +} + +template Bits2NumBE(n) { + signal input in[n]; + signal output out; + var lc1=0; + + var e2 = 1; + for (var i = 0; i < n; i++) { + lc1 += in[(n - 1) - i] * e2; + e2 = e2 + e2; + } + + lc1 ==> out; +} + +template IsEqualIfEnabled(n) { + signal input in[2][n]; + signal input enabled; + signal output out; + + component and = MultiAND(n); + + for (var i = 0; i < n; i++) { + and.in[i] <== IsZero()(in[0][i] - in[1][i]); + } + + out <== and.out * enabled; +} + +// Optimized version of the official ForceEqualIfEnabled +template MyForceEqualIfEnabled() { + signal input enabled; + signal input in[2]; + + (in[1] - in[0]) * enabled === 0; +} + +template ForceEqualIfEnabledMulti(n) { + signal input enabled; + signal input in[2][n]; + + for (var i = 0; i < n; i++) { + MyForceEqualIfEnabled()(enabled, [in[0][i], in[1][i]]); + } +} + +template CalculateTotal(n) { + signal input nums[n]; + signal output sum; + + var lc; + for (var i = 0; i < n; i++) { + lc += nums[i]; + } + sum <== lc; +} + +// out[i] = 1 if i = index, 0 otherwise. +// Assumes index in [0, n). Fails otherwise. +template OneBitVector(n) { + signal input index; + signal output out[n]; + + component X = Decoder(n); + X.inp <== index; + + X.success === 1; + out <== X.out; +} + +// out[i] = 1 if i >= index, 0 otherwise +// Assumes index in [0, n]. Fails otherwise. +template GTBitVector(n) { + signal input index; + signal output out[n]; + + signal eq[n + 1] <== OneBitVector(n + 1)(index); + + out[0] <== eq[0]; + for (var i = 1; i < n; i++) { + out[i] <== eq[i] + out[i - 1]; + } +} + +// out[i] = 1 if i < index, 0 otherwise +// Assumes index in [0, n]. Fails otherwise. +template LTBitVector(n) { + signal input index; + signal output out[n]; + + signal eq[n + 1] <== OneBitVector(n + 1)(index); + + out[n-1] <== eq[n]; + for (var i = n-2; i >= 0; i--) { + out[i] <== eq[i + 1] + out[i + 1]; + } +} + +template SingleMultiplexer(nIn) { + signal input inp[nIn]; + signal input sel; + signal output out; + + component dec = OneBitVector(nIn); + sel ==> dec.index; + EscalarProduct(nIn)(inp, dec.out) ==> out; +} + +function getPackedOutputSize(inBits, outWidth) { + var outCount = inBits \ outWidth; + if (inBits % outWidth != 0) { + outCount++; + } + return outCount; +} + +/** +Packer: Packs a list of numbers, each of a specified bitwidth, + into another list of numbers with a different bitwidth. + +- inWidth: The bitwidth of each input number. +- inCount: The number of input numbers. +- outWidth: The bitwidth of each output number. +- outCount: The number of output numbers. (Should be inCount * inWidth / outWidth, rounded up.) +*/ +template Packer(inWidth, inCount, outWidth, outCount) { + signal input in[inCount]; + signal output out[outCount]; + + var inBits = inCount * inWidth; + var myOutCount = getPackedOutputSize(inBits, outWidth); + assert(myOutCount == outCount); + + component expander[inCount]; + for (var i = 0; i < inCount; i++) { + expander[i] = Num2BitsBE(inWidth); + expander[i].in <== in[i]; + } + + component compressor[outCount]; + for (var i = 0; i < outCount; i++) { + compressor[i] = Bits2NumBE(outWidth); + } + + for(var i = 0; i < inBits; i++) { + var oB = i % outWidth; + var o = (i - oB) \ outWidth; + + var mB = i % inWidth; + var m = (i - mB) \ inWidth; + + compressor[o].in[oB] <== expander[m].out[mB]; + } + + if (inBits % outWidth != 0) { + var outExtra = inBits % outWidth; + for(var i = outExtra; i < outWidth; i++) { + compressor[outCount - 1].in[i] <== 0; + } + } + + for(var i = 0; i < outCount; i++) { + out[i] <== compressor[i].out; + } +} \ No newline at end of file diff --git a/openid-zkp-auth/circuits/helpers/sha256.circom b/openid-zkp-auth/circuits/helpers/sha256.circom new file mode 100644 index 0000000000..98b41c766c --- /dev/null +++ b/openid-zkp-auth/circuits/helpers/sha256.circom @@ -0,0 +1,178 @@ +pragma circom 2.1.3; + +include "../../node_modules/circomlib/circuits/sha256/constants.circom"; +include "../../node_modules/circomlib/circuits/sha256/sha256compression.circom"; +include "../../node_modules/circomlib/circuits/comparators.circom"; +include "misc.circom"; + +/** +SHA256 Unsafe + Calculates the SHA256 hash of the input, using a signal to select the output round corresponding to the number of + non-empty input blocks. This implementation is referred to as "unsafe", as it relies upon the caller to ensure that + the input is padded correctly, and to ensure that the num_sha2_blocks input corresponds to the actual terminating data block. + Crafted inputs could result in Length Extension Attacks. + + Construction Parameters: + - nBlocks: Maximum number of 512-bit blocks for payload input + + Inputs: + - in: An array of blocks exactly nBlocks in length, each block containing an array of exactly 512 bits. + Padding of the input according to RFC4634 Section 4.1 is left to the caller. + - num_sha2_blocks: A number representing the number of 64-byte blocks to consider from the input. + + Outputs: + - out: An array of 256 bits corresponding to the SHA256 output. + We hash the blocks starting from in[0] upto in[num_sha2_blocks-1] (inclusive). +*/ +template Sha256_unsafe(nBlocks) { + signal input in[nBlocks][512]; + signal input num_sha2_blocks; + + signal output out[256]; + + component ha0 = H(0); + component hb0 = H(1); + component hc0 = H(2); + component hd0 = H(3); + component he0 = H(4); + component hf0 = H(5); + component hg0 = H(6); + component hh0 = H(7); + + component sha256compression[nBlocks]; + + for(var i = 0; i < nBlocks; i++) { + sha256compression[i] = Sha256compression(); + if (i==0) { + for(var k = 0; k < 32; k++) { + sha256compression[i].hin[0*32+k] <== ha0.out[k]; + sha256compression[i].hin[1*32+k] <== hb0.out[k]; + sha256compression[i].hin[2*32+k] <== hc0.out[k]; + sha256compression[i].hin[3*32+k] <== hd0.out[k]; + sha256compression[i].hin[4*32+k] <== he0.out[k]; + sha256compression[i].hin[5*32+k] <== hf0.out[k]; + sha256compression[i].hin[6*32+k] <== hg0.out[k]; + sha256compression[i].hin[7*32+k] <== hh0.out[k]; + } + } else { + for(var k = 0; k < 32; k++) { + sha256compression[i].hin[32*0+k] <== sha256compression[i-1].out[32*0+31-k]; + sha256compression[i].hin[32*1+k] <== sha256compression[i-1].out[32*1+31-k]; + sha256compression[i].hin[32*2+k] <== sha256compression[i-1].out[32*2+31-k]; + sha256compression[i].hin[32*3+k] <== sha256compression[i-1].out[32*3+31-k]; + sha256compression[i].hin[32*4+k] <== sha256compression[i-1].out[32*4+31-k]; + sha256compression[i].hin[32*5+k] <== sha256compression[i-1].out[32*5+31-k]; + sha256compression[i].hin[32*6+k] <== sha256compression[i-1].out[32*6+31-k]; + sha256compression[i].hin[32*7+k] <== sha256compression[i-1].out[32*7+31-k]; + } + } + + for (var k = 0; k < 512; k++) { + sha256compression[i].inp[k] <== in[i][k]; + } + } + + // Collapse the hashing result at the terminating data block + component calcTotal[256]; + signal eqs[nBlocks] <== OneBitVector(nBlocks)(num_sha2_blocks - 1); + + // For each bit of the output + for(var k = 0; k < 256; k++) { + calcTotal[k] = CalculateTotal(nBlocks); + + // For each possible block + for (var i = 0; i < nBlocks; i++) { + // eqs[i].out is 1 if the index matches. As such, at most one input to calcTotal is not 0. + // The bit corresponding to the terminating data block will be raised + calcTotal[k].nums[i] <== eqs[i] * sha256compression[i].out[k]; + } + out[k] <== calcTotal[k].sum; + } +} + +/** +SHA2_Wrapper + + Calculates the SHA2 hash of an arbitrarily shaped input using SHA256_unsafe internally. + Additionally, it packs the output and checks that all inputs after num_sha2_blocks are indeed 0. + + Construction Parameters: + - inWidth: Width of each input segment in bits + - inCount: Number of input segments + + Inputs: + - in: An array of segments exactly inCount in length, each segment containing an array of exactly inWidth bits. + Padding of the input according to RFC4634 Section 4.1 is left to the caller. + - num_sha2_blocks: An integer corresponding to the terminating block of the input, which contains the message padding. + + Outputs: + - hash: An array of size 2 corresponding to the SHA256 output as of the terminating block split into two. + The first element contains the first 128 bits of the hash, and the second element contains the last 128 bits. +*/ +template Sha2_wrapper(inWidth, inCount, outWidth, outCount) { + // Segments must divide evenly into 512 bit blocks + var inBits = inCount * inWidth; + assert(inBits % 512 == 0); + + signal input in[inCount]; + signal input num_sha2_blocks; + + assert(outWidth * outCount == 256); + signal output hash[outCount]; + + // The content is decomposed to 512-bit blocks for SHA-256 + var nBlocks = (inWidth * inCount) / 512; + component sha256 = Sha256_unsafe(nBlocks); + + // How many segments are in each block + assert(inWidth <= 512); + assert(512 % inWidth == 0); + var nSegments = 512 / inWidth; + component sha256_blocks[nBlocks][nSegments]; + + // For each 512-bit block going into SHA-256 + for (var b = 0; b < nBlocks; b++) { + // For each segment going into that block + for (var s = 0; s < nSegments; s++) { + // The index from the content is offset by the block we're composing times the number of segments per block, + // s is then the segment offset within the block. + var payloadIndex = (b * nSegments) + s; + + // Decompose each segment into an array of individual bits + sha256_blocks[b][s] = Num2BitsBE(inWidth); + sha256_blocks[b][s].in <== in[payloadIndex]; + + // The bit index going into the current SHA-256 block is offset by the segment number times the bit width + // of each content segment. sOffset + i is then the bit offset within the block (0-511). + var sOffset = s * inWidth; + for (var i = 0; i < inWidth; i++) { + sha256.in[b][sOffset + i] <== sha256_blocks[b][s].out[i]; + } + } + } + sha256.num_sha2_blocks <== num_sha2_blocks; + + /** + Pack the output of the SHA-256 hash into a vector of size outCount where each element has outWidth bits. + **/ + component hash_packer[outCount]; + for (var i = 0; i < outCount; i++) { + hash_packer[i] = Bits2NumBE(outWidth); + for (var j = 0; j < outWidth; j++) { + hash_packer[i].in[j] <== sha256.out[i * outWidth + j]; + } + hash_packer[i].out ==> hash[i]; + } + + /** + Verify that content[i] for all blocks >= num_sha2_blocks is zero. + **/ + signal gte[nBlocks] <== GTBitVector(nBlocks)(num_sha2_blocks); + + for (var b = 0; b < nBlocks; b++) { + for (var s = 0; s < nSegments; s++) { + var payloadIndex = (b * nSegments) + s; + gte[b] * in[payloadIndex] === 0; + } + } +} \ No newline at end of file diff --git a/openid-zkp-auth/circuits/helpers/strings.circom b/openid-zkp-auth/circuits/helpers/strings.circom new file mode 100644 index 0000000000..e064585169 --- /dev/null +++ b/openid-zkp-auth/circuits/helpers/strings.circom @@ -0,0 +1,224 @@ +pragma circom 2.1.3; + +include "../../node_modules/circomlib/circuits/comparators.circom"; +include "../../node_modules/circomlib/circuits/multiplexer.circom"; +include "../../node_modules/circomlib/circuits/gates.circom"; +include "misc.circom"; +include "base64.circom"; + +/** +SliceFixed: Returns a fixed-length slice of an array. +More precisely, in[index:index+outLen] (both inclusive). + +Cost: inLen + outLen * inLen + +Range checks: + - index in [0, inLen) + - index + outLen in [0, inLen] + - outLen in (0, inLen] +**/ +template SliceFixed(inLen, outLen) { + assert(outLen > 0); + assert(outLen <= inLen); + + signal input in[inLen]; + signal input index; + signal output out[outLen]; + + RangeCheck(numBits(inLen), inLen - 1)(index); // index in [0, inLen - 1] + RangeCheck(numBits(inLen), inLen)(index + outLen); // index + outLen in [0, inLen] + + // eqs[index] = 1, 0 otherwise + signal eqs[inLen] <== OneBitVector(inLen)(index); + for(var i = 0; i < outLen; i++) { + // arr[i + index] = 1 (if i + index < inLen), 0 otherwise + var arr[inLen]; + for (var j = 0; j < inLen; j++) { + if (j < i) { + arr[j] = 0; + } else { + arr[j] = eqs[j - i]; + } + } + out[i] <== EscalarProduct(inLen)(arr, in); + } +} + +/** +Slice: Returns a variable-length slice of an array. +More precisely, in[index:index+length] + [0] * (outLen - length). + +Cost: Roughly (inLen + outLen + outLen * inLen) + +Range checks: + - index in [0, inLen) + - length in [0, outLen] + - index + length in [0, inLen] + - outLen in (0, inLen] +**/ +template Slice(inLen, outLen) { + assert(outLen > 0); + assert(outLen <= inLen); + + signal input in[inLen]; + signal input index; + signal input length; + + RangeCheck(numBits(inLen), inLen - 1)(index); // index in [0, inLen - 1] + RangeCheck(numBits(outLen), outLen)(length); // length in [0, outLen] + RangeCheck(numBits(inLen), inLen)(index + length); // index + length in [0, inLen] + + signal output out[outLen]; + + // eqs[i] = 1 if i = index, 0 otherwise + signal eqs[inLen] <== OneBitVector(inLen)(index); + // lt[i] = 1 if i < length, 0 otherwise + signal lts[outLen] <== LTBitVector(outLen)(length); + + signal tmp[outLen]; + for(var i = 0; i < outLen; i++) { + var arr[inLen]; + for (var j = 0; j < inLen; j++) { + if (j < i) { + arr[j] = 0; + } else { + arr[j] = eqs[j - i]; + } + } + tmp[i] <== EscalarProduct(inLen)(arr, in); + out[i] <== tmp[i] * lts[i]; + } +} + +// in[index: index + length*groupLen] + [0] * (outLen - length)*groupLen +// template SliceGrouped(inLen, outLen, groupLen) { +// signal input in[inLen]; +// signal input index; +// signal input length; + +// signal output out[outLen * groupLen]; + +// // eqs[i] = 1 if i = index, 0 otherwise +// signal eqs[inLen] <== OneBitVector(inLen)(index); +// // lt[i] = 1 if i < length, 0 otherwise +// signal lts[outLen] <== LTBitVector(outLen)(length); + +// signal tmp[outLen]; +// for(var i = 0; i < outLen; i++) { +// var arr[inLen]; +// for (var j = 0; j < inLen; j++) { +// if (j < i) { +// arr[j] = 0; +// } else { +// arr[j] = eqs[j - i]; +// } +// } +// tmp[i] <== EscalarProduct(inLen)(arr, in); + +// for (var j = 0; j < groupLen; j++) { +// out[i * groupLen + j] <== tmp[i] * lts[i]; +// } +// } +// } + +/** +Checks if an ASCII-encoded substring exists in a Base64-encoded string. + +Cost: Slice is the costliest since b64StrLen is big in practice. + +Construction Parameters: + b64StrLen: The length of the Base64-encoded string + maxA: The maximum length of the ASCII-encoded substring + (must be a multiple of 3) + +Input: + b64Str[b64StrLen]: The Base64-encoded string to search in + lenB: The length of the Base64-encoded substring to check + BIndex: The index of the first character of the + Base64-encoded substring to check. For the check to + work, it should represent just the part of b64Str that + contains A. + A[maxA]: The ASCII-encoded substring to search for padded with 0s + e.g., A = ,"sub":"12345",0000 and lenA = 15 + lenA: The length of the ASCII-encoded substring + payloadIndex: The index of the first character of the payload + +Output: + The function checks if the ASCII-encoded substring exists in the + Base64-encoded string with an offset of 0, 1, or 2. + +Range checks: + 0 <= lenB <= maxB (checked in Slice) + 0 <= BIndex < b64StrLen (checked in Slice) + 0 <= BIndex + lenB <= b64StrLen (checked in Slice) + maxB <= b64StrLen (checked in Slice) + 0 <= lenA <= maxA (checked in LTBitVector) + payloadIndex <= BIndex (checked in RemainderMod4) +*/ +template ASCIISubstrExistsInB64(b64StrLen, maxA) { + assert(maxA % 3 == 0); // for simplicity + var maxB = 1 + ((maxA / 3) * 4); // max(b64Len(maxA, i)) for any i + + signal input b64Str[b64StrLen]; + signal input lenB; + signal input BIndex; + signal B[maxB] <== Slice(b64StrLen, maxB)( + b64Str, BIndex, lenB + ); + + var B_bit_len = maxB * 6; + signal B_in_bits[B_bit_len] <== MultiB64URLToBits(maxB)(B); + + signal input A[maxA]; + signal input lenA; + + var A_bit_len = 8 * maxA; + signal A_in_bits[A_bit_len]; + for (var i = 0; i < maxA; i++) { + var X[8] = Num2BitsBE(8)(A[i]); + for (var j = 0; j < 8; j++) { + A_in_bits[i * 8 + j] <== X[j]; + } + } + + signal input payloadIndex; + var BIndexInPayload = BIndex - payloadIndex; + signal expectedOffset <== RemainderMod4(numBits(b64StrLen))(BIndexInPayload); + signal eq_0 <== IsEqual()([expectedOffset, 0]); + signal eq_1 <== IsEqual()([expectedOffset, 1]); + signal eq_2 <== IsEqual()([expectedOffset, 2]); + eq_0 + eq_1 + eq_2 === 1; // ensure offset is 0, 1, or 2 + + var T_actual_len = lenA * 8; + signal tmp[maxA] <== LTBitVector(maxA)(lenA); + + signal enabled_0[maxA]; + // A_bit_len <= B_bit_len is guaranteed by the condition on maxB + assert(A_bit_len <= B_bit_len); + for (var i = 0; i < A_bit_len; i++) { + if (i % 8 == 0) { + enabled_0[i \ 8] <== tmp[i \ 8] * eq_0; + } + MyForceEqualIfEnabled()(enabled_0[i \ 8], [A_in_bits[i], B_in_bits[i]]); + } + + signal enabled_1[maxA]; + // A_bit_len + 2 <= B_bit_len is guaranteed by the condition on maxB + assert(A_bit_len + 2 <= B_bit_len); + for (var i = 0; i < A_bit_len; i++) { + if (i % 8 == 0) { + enabled_1[i \ 8] <== tmp[i \ 8] * eq_1; + } + MyForceEqualIfEnabled()(enabled_1[i \ 8], [A_in_bits[i], B_in_bits[i + 2]]); + } + + signal enabled_2[maxA]; + // A_bit_len + 4 <= B_bit_len is guaranteed by the condition on maxB + assert(A_bit_len + 4 <= B_bit_len); + for (var i = 0; i < A_bit_len; i++) { + if (i % 8 == 0) { + enabled_2[i \ 8] <== tmp[i \ 8] * eq_2; + } + MyForceEqualIfEnabled()(enabled_2[i \ 8], [A_in_bits[i], B_in_bits[i + 4]]); + } +} \ No newline at end of file diff --git a/openid-zkp-auth/circuits/helpers/zkhasher.circom b/openid-zkp-auth/circuits/helpers/zkhasher.circom new file mode 100644 index 0000000000..220ed5d8da --- /dev/null +++ b/openid-zkp-auth/circuits/helpers/zkhasher.circom @@ -0,0 +1,30 @@ +pragma circom 2.1.3; + +include "../../node_modules/circomlib/circuits/poseidon.circom"; + +template Hasher(nInputs) { + signal input in[nInputs]; + signal output out; + + component pos1, pos2; + if (nInputs <= 15) { + out <== Poseidon(nInputs)(in); + } else if (nInputs <= 30) { + pos1 = Poseidon(15); + pos2 = Poseidon(nInputs - 15); + + for (var i = 0; i < 15; i++) { + pos1.inputs[i] <== in[i]; + } + for (var i = 15; i < nInputs; i++) { + pos2.inputs[i - 15] <== in[i]; + } + + out <== Poseidon(2)([ + pos1.out, + pos2.out + ]); + } else { // Yet to be implemented + 1 === 0; + } +} \ No newline at end of file diff --git a/openid-zkp-auth/circuits/jwt_proof_ua.circom b/openid-zkp-auth/circuits/jwt_proof_ua.circom new file mode 100644 index 0000000000..201a885638 --- /dev/null +++ b/openid-zkp-auth/circuits/jwt_proof_ua.circom @@ -0,0 +1,170 @@ +pragma circom 2.1.3; + +include "helpers/sha256.circom"; +include "helpers/misc.circom"; +include "helpers/strings.circom"; +include "helpers/zkhasher.circom"; + +/** +JWT Proof: User-agnostic (UA) circuit + + Construction params: + - maxContentLength: Maximum length of the JWT + SHA2 padding in bytes + - maxSubLength: Maximum length of the subject_id (in ascii) + + Private Inputs: + - content[inCount]: Segments of X as inWidth bit chunks where X is JWT header + JWT payload + SHA-2 padding + zeroes + - sub_length_ascii: Length of the subject_id in ASCII, e.g., for ',"sub":12345,' it is 13 + - subject_id[maxSubLength]: The subject (user) ID for the first sub_length_ascii characters and 0s for the rest + - subject_pin: User's PIN to keep the subject_id private + - mask[inCount]: A binary mask over X, i.e., mask[i] = 0 or 1 + - randomness: A 248-bit random number to keep the sensitive parts of JWT hidden + + Circuit signals revealed to the verifier along with the ZK proof: + - jwt_sha2_hash: The SHA2 hash of the JWT header + JWT payload + SHA-2 padding + - num_sha2_blocks: Number of SHA2 (64-byte) blocks the SHA2-padded JWT consumes + - subject_id_com: H(subject_id || PIN). A binding and hiding commitment to subject_id + - payload_start_index: The index of the payload in the content + - payload_len: The length of the payload + - masked_content: The content with the sensitive parts masked + - eph_public_key[2]: The ephemeral public key split into two 128-bit values + - max_epoch: The maximum epoch for which the eph_public_key is valid + + Public Inputs: + - all_inputs_hash: H(jwt_sha2_hash[2] || masked_content_hash || payload_start_index || payload_len + eph_public_key[2] || max_epoch || nonce || num_sha2_blocks || subject_id_com) +*/ +template JwtProofUA(maxContentLength, maxSubLength) { + // Input is Base64 characters encoded as ASCII + var inWidth = 8; + var inCount = maxContentLength; + signal input content[inCount]; + + /** + 1. SHA2(content) + */ + signal input num_sha2_blocks; + var hashCount = 2; + var hashWidth = 256 / hashCount; + signal jwt_sha2_hash[hashCount] <== Sha2_wrapper(inWidth, inCount, hashWidth, hashCount)( + content, + num_sha2_blocks + ); + + /** + 2. Checks on subject_id + a) Is it in the JWT payload? + b) Is subject_id[i] == 0 for all i >= sub_length_ascii? + c) Is subject_id[sub_length_ascii - 1] == ',' or '}'? + */ + var subInWidth = 8; + signal input subject_id[maxSubLength]; + signal input sub_length_ascii; // Check if we ensure it is >= 1 and <= maxSubLength + signal input sub_length_b64; + + signal input payload_start_index; + signal input sub_claim_index_b64; + ASCIISubstrExistsInB64( + inCount, + maxSubLength + )( + b64Str <== content, + BIndex <== sub_claim_index_b64, + lenB <== sub_length_b64, + A <== subject_id, + lenA <== sub_length_ascii, + payloadIndex <== payload_start_index + ); + + // subject_id[i] == 0 for all i >= sub_length_ascii + signal sigt[maxSubLength] <== GTBitVector(maxSubLength)(sub_length_ascii); + for (var i = 0; i < maxSubLength; i++) { + sigt[i] * subject_id[i] === 0; + } + + signal lastchar <== SingleMultiplexer(maxSubLength)(subject_id, sub_length_ascii - 1); + (lastchar - 44) * (lastchar - 125) === 0; // lastchar = ',' or '}' + + /** + 3. Calculate commitment to subject_id. We exclude the last character of the subject_id + because it is either ',' or '}'. + **/ + // exclude last character + signal subject_id_without_last_char[maxSubLength] <== Slice(maxSubLength, maxSubLength)( + subject_id, + 0, + sub_length_ascii - 1 + ); + + // pack + var outWidth = 253; // field prime is 254 bits + var subOutCount = getPackedOutputSize(maxSubLength * subInWidth, outWidth); + signal packed_subject_id[subOutCount] <== Packer(subInWidth, maxSubLength, outWidth, subOutCount)(subject_id_without_last_char); + signal subject_id_hash <== Hasher(subOutCount)(packed_subject_id); + + signal input subject_pin; + signal subject_id_com <== Hasher(2)([subject_id_hash, subject_pin]); + + /** + 4. Masking + **/ + signal input mask[inCount]; + signal masked_content[inCount]; + + for(var i = 0; i < inCount; i++) { + // Ensure mask is binary + mask[i] * (1 - mask[i]) === 0; + // If mask is 0, then replace with '=' (ASCII 61) to avoid conflicts with base64 characters + masked_content[i] <== content[i] * mask[i] + (1 - mask[i]) * 61; + } + + var outCount = getPackedOutputSize(inCount * inWidth, outWidth); + signal packed[outCount] <== Packer(inWidth, inCount, outWidth, outCount)(masked_content); + signal masked_content_hash <== Hasher(outCount)(packed); + + /** + 5. Calculate nonce + **/ + signal input eph_public_key[2]; + signal input max_epoch; + signal input randomness; + + signal nonce <== Hasher(4)([ + eph_public_key[0], + eph_public_key[1], + max_epoch, + randomness + ]); + + /** + 6. Misc checks: + - Ensure mask[i] == 1 for all i >= payload_start_index + payload_len + **/ + signal input payload_len; + signal payload_len_actual <== payload_start_index + payload_len; + + // set pllt[i] = 1 if i >= payload_len_actual, 0 otherwise + signal plgt[inCount] <== GTBitVector(inCount)(payload_len_actual); + for (var i = 0; i < inCount; i++) { + plgt[i] * (1 - mask[i]) === 0; // if pllt[i] == 1, then mask[i] == 1 + } + + /** + 7. Hash all signals revealed to the verifier outside + **/ + signal input all_inputs_hash; + signal all_inputs_hash_actual <== Hasher(11)([ + jwt_sha2_hash[0], + jwt_sha2_hash[1], + masked_content_hash, + payload_start_index, + payload_len, + eph_public_key[0], + eph_public_key[1], + max_epoch, + nonce, + num_sha2_blocks, + subject_id_com + ]); + all_inputs_hash === all_inputs_hash_actual; +} \ No newline at end of file diff --git a/openid-zkp-auth/circuits/twitch.circom b/openid-zkp-auth/circuits/twitch.circom new file mode 100644 index 0000000000..8faf50f547 --- /dev/null +++ b/openid-zkp-auth/circuits/twitch.circom @@ -0,0 +1,7 @@ +pragma circom 2.1.3; + +include "jwt_proof_ua.circom"; + +component main { + public [all_inputs_hash] +} = JwtProofUA(64*8, 21); \ No newline at end of file diff --git a/openid-zkp-auth/js/circuitutils.js b/openid-zkp-auth/js/circuitutils.js new file mode 100644 index 0000000000..6abaf901b2 --- /dev/null +++ b/openid-zkp-auth/js/circuitutils.js @@ -0,0 +1,169 @@ +const crypto = require("crypto"); +const {toBigIntBE} = require('bigint-buffer'); + +const utils = require('./utils'); +const jwtutils = require('./jwtutils'); + +const nWidth = require("./constants").inWidth; +const outWidth = require("./constants").outWidth; +const poseidonHash = require('./utils').poseidonHash; + +// https://datatracker.ietf.org/doc/html/rfc4634#section-4.1 +function padMessage(bits) { + const L = bits.length; + const K = (512 + 448 - (L % 512 + 1)) % 512; + + bits = bits.concat([1]); + if(K > 0) { + bits = bits.concat(Array(K).fill(0)); + } + bits = bits.concat(utils.buffer2BitArray(Buffer.from(L.toString(16).padStart(16, '0'), 'hex'))); + return bits; +} + +function genJwtMask(input, fields) { + const [header, payload] = input.split('.'); + var payloadMask = Array(payload.length).fill(0); + for(const field of fields) { + var [start, len] = jwtutils.indicesOfB64(payload, field); + for(var i = 0; i < len; i++) { + payloadMask[start + i] = 1; + } + } + + return Array(header.length + 1).fill(1).concat(payloadMask); +} + +function genSha256Inputs(input, nCount, nWidth = 8, inParam = "in") { + var segments = utils.arrayChunk(padMessage(utils.buffer2BitArray(Buffer.from(input))), nWidth); + const num_sha2_blocks = (segments.length * nWidth) / 512; + + if ((segments.length * nWidth) % 512 != 0) { + throw new Error("Padding error: Padded message length is not a multiple of 512"); + } + + if(segments.length < nCount) { + segments = segments.concat(Array(nCount-segments.length).fill(Array(nWidth).fill(0))); + } + + if(segments.length > nCount) { + throw new Error(`Padded message (${segments.length}) exceeds maximum length supported by circuit (${nCount})`); + } + + return { [inParam]: segments, "num_sha2_blocks": num_sha2_blocks }; +} + +function genNonceInputs() { + const eph_public_key = 0x0d7dab358c8dadaa4efa0049a75b07436555b10a368219bb680f70571349d775n; // TODO: Fixed for dev + // const eph_public_key = BigInt("0x" + crypto.randomBytes(32).toString('hex')); + const max_epoch = 10000; // TODO: Fixed for dev + const randomness = 50683480294434968413708503290439057629605340925620961559740848568164438166n; // TODO: Fixed for dev + + const eph_public_key_0 = eph_public_key / 2n**128n; + const eph_public_key_1 = eph_public_key % 2n**128n; + + return { + "eph_public_key": [eph_public_key_0, eph_public_key_1], + "max_epoch": max_epoch, + "randomness": randomness + }; +} + +async function genSubInputs(payload, maxSubLength, payloadIndex) { + const decoded_payload = Buffer.from(payload, 'base64url').toString(); + const sub_claim = jwtutils.getClaimString(decoded_payload, "sub"); + const [start, len] = jwtutils.indicesOfB64(payload, 'sub'); + + if (sub_claim.length > maxSubLength) { + throw new Error(`Subject claim ${sub_claim} exceeds maximum length of ${maxSubLength} characters`); + } + + const sub_claim_without_last_char = sub_claim.slice(0, -1); + const pin = 123456789; // TODO: Fixed for dev + const subject_id_com = await utils.commitSubID(sub_claim_without_last_char, pin, maxSubLength, outWidth); + + const padded_subject_id = utils.padWithZeroes(sub_claim.split('').map(c => c.charCodeAt()), maxSubLength); + return [{ + "subject_id": padded_subject_id, + "sub_length_ascii": sub_claim.length, + "sub_claim_index_b64": start + payloadIndex, + "sub_length_b64": len, + "subject_pin": pin + }, subject_id_com]; +} + +async function genJwtProofUAInputs(input, nCount, fields, maxSubLength) { + // init poseidon + const buildPoseidon = require("circomlibjs").buildPoseidon; + poseidon = await buildPoseidon(); + + // set SHA-2 inputs + var inputs = genSha256Inputs(input, nCount, nWidth, "content"); + inputs["content"] = inputs["content"].map(bits => toBigIntBE(utils.bitArray2Buffer(bits))); + + // set indices + inputs["payload_start_index"] = input.split('.')[0].length + 1; // 4x+1, 4x, 4x-1 + const payload = input.split('.')[1]; + inputs["payload_len"] = payload.length; + + // set sub claim inputs + const [sub_inputs, subject_id_com] = await genSubInputs( + payload, + maxSubLength, + inputs["payload_start_index"] + ); + inputs = Object.assign({}, inputs, sub_inputs); + + // set hash + const hash = BigInt("0x" + crypto.createHash("sha256").update(input).digest("hex")); + const jwt_sha2_hash = [hash / 2n**128n, hash % 2n**128n]; + + // masking + inputs["mask"] = genJwtMask(input, fields).concat(Array(nCount - input.length).fill(1)); + const masked_content = utils.applyMask(inputs["content"], inputs["mask"]); + const packed = utils.pack(masked_content, 8, outWidth); + const masked_content_hash = poseidonHash(packed, poseidon); + + // set nonce-related inputs + inputs = Object.assign({}, inputs, genNonceInputs()); + const nonce = poseidonHash([ + inputs["eph_public_key"][0], + inputs["eph_public_key"][1], + inputs["max_epoch"], + inputs["randomness"] + ], poseidon); + + inputs["all_inputs_hash"] = poseidonHash([ + jwt_sha2_hash[0], + jwt_sha2_hash[1], + masked_content_hash, + inputs["payload_start_index"], + inputs["payload_len"], + inputs["eph_public_key"][0], + inputs["eph_public_key"][1], + inputs["max_epoch"], + nonce, + inputs["num_sha2_blocks"], + subject_id_com + ], poseidon); + + const auxiliary_inputs = { + "masked_content": masked_content, + "jwt_sha2_hash": jwt_sha2_hash.map(e => e.toString()), + "payload_start_index": inputs["payload_start_index"], + "payload_len": inputs["payload_len"], + "eph_public_key": inputs["eph_public_key"].map(e => e.toString()), + "max_epoch": inputs["max_epoch"], + "num_sha2_blocks": inputs["num_sha2_blocks"], + "sub_id_com": subject_id_com.toString() + } + + return [inputs, auxiliary_inputs]; +} + +module.exports = { + padMessage: padMessage, + genJwtMask: genJwtMask, + genSha256Inputs: genSha256Inputs, + genJwtProofUAInputs: genJwtProofUAInputs +} diff --git a/openid-zkp-auth/js/constants.js b/openid-zkp-auth/js/constants.js new file mode 100644 index 0000000000..6e929372e0 --- /dev/null +++ b/openid-zkp-auth/js/constants.js @@ -0,0 +1,15 @@ +module.exports = { + inWidth: 8, + outWidth: 253, + maskValue: '='.charCodeAt(), + google: { + maxContentLen: 64*12, + claimsToReveal: ["iss", "aud", "nonce"], + maxSubstrLen: 36, + }, + twitch: { + maxContentLen: 64*8, + claimsToReveal: ["iss", "aud", "nonce"], + maxSubstrLen: 21, + } +} \ No newline at end of file diff --git a/openid-zkp-auth/js/jwtutils.js b/openid-zkp-auth/js/jwtutils.js new file mode 100644 index 0000000000..858254e9c3 --- /dev/null +++ b/openid-zkp-auth/js/jwtutils.js @@ -0,0 +1,277 @@ +/** + * Returns a claim as it appears in the decoded JWT. + * We take a conservative approach, e.g., assume that the claim value does not have spaces. + * In such cases, the code will fail. + * The last character after the claim value is also returned (either a comma or a closing brace). + * + * @param {*} decoded_payload e.g., {"sub":"1234567890","name":"John Doe","iat":1516239022} + * @param {*} claim e.g., sub + * @returns e.g., "sub":"1234567890", + */ +function getClaimString(decoded_payload, claim) { + const json_input = JSON.parse(decoded_payload); + if (!json_input.hasOwnProperty(claim)) { + throw new Error("Field " + claim + " not found in " + decoded_payload); + } + + const field_value = JSON.stringify(json_input[claim]); + const kv_pair = `"${claim}":${field_value}`; + const claimStart = decoded_payload.indexOf(`"${claim}"`); + const kv_pair_expanded = kv_pair + decoded_payload[claimStart + kv_pair.length]; + + if (decoded_payload.includes(kv_pair_expanded)) { + var lastchar = kv_pair_expanded[kv_pair_expanded.length - 1]; + if (!(lastchar == '}' || lastchar == ',')) { + throw new Error("Something is wrong with the decoded payload"); + } + return kv_pair_expanded; + } + + // Facebook is escaping the '/' characters in the JWT payload + const escaped_field_value = field_value.replace(/([/])/g, '\\$1'); + const escaped_kv_pair = `"${claim}":${escaped_field_value}`; + const escaped_kv_pair_expanded = escaped_kv_pair + + decoded_payload[claimStart + escaped_kv_pair.length]; + + if (decoded_payload.includes(escaped_kv_pair_expanded)) { + var lastchar = escaped_kv_pair_expanded[escaped_kv_pair_expanded.length - 1]; + if (!(lastchar == '}' || lastchar == ',')) { + throw new Error("Something is wrong with the decoded payload"); + } + + return escaped_kv_pair_expanded; + } + + throw new Error("Fields " + kv_pair_expanded + " or " + escaped_kv_pair_expanded + " not found in " + decoded_payload); +} + +/** + * @param {String} payload A Base64 encoded string, e.g., a JWT + * @param {String} field A claim string, e.g., "sub" (without quotes) + * @returns [start, length] The start index and length of the (base64) encoded + * claim string in the input. + * + * The returned indices are tight, i.e., both payload[start] and payload[start + length - 1] + * contain at least some bits of the claim string. + */ +function indicesOfB64(payload, field) { + const decoded = Buffer.from(payload, 'base64url').toString(); + + const kv_pair = getClaimString(decoded, field); + const start_index_ascii = decoded.indexOf(kv_pair); + const length_b64 = b64Len(kv_pair.length, start_index_ascii); + const start_b64 = b64Index(start_index_ascii); + + // test + const expectedB64Variant = payload.slice(start_b64, start_b64 + length_b64); + if (payload.indexOf(expectedB64Variant) == -1) { + throw new Error("Field " + kv_pair + " not found in the Base64"); + } + + return [start_b64, length_b64]; +} + +// If a character appears at an index i in a string S, +// return the index at which it would appear in the base64 representation of S +function b64Index(i) { + var q = 4 * Math.floor(i / 3); + + if (i % 3 == 0) { + /** + * - - - - <=> . . . + * - - - - <=> . . . + * X x <=> i + */ + return q; + } else if (i % 3 == 1) { + /** + * - - - - <=> . . . + * - - - - <=> . . . + * _ X x <=> . i + */ + return q + 1; + } else if (i % 3 == 2) { + /** + * - - - - <=> . . . + * - - - - <=> . . . + * _ _ X x <=> . . i + */ + return q + 2; + } else { + throw new Error("Something is wrong with the index", i); + } +} + +// Given an ascii string of length n starting at index i, +// return the length of its base64 representation +function b64Len(n, i) { + var q = 4 * Math.floor(n / 3); + if (i % 3 == 0) { + if (n % 3 == 0) { + /** + * a - - => 4 + * - - b => 4 + */ + return q; + } else if (n % 3 == 1) { + /** + * a - - => 4 + * - - - => 4 + * b => 2 + */ + return q + 2; + } else { + /** + * a - - => 4 + * - - - => 4 + * - b => 3 + */ + return q + 3; + } + } else if (i % 3 == 1) { + if (n % 3 == 0) { + /** + * a - => 3 + * - - - => 4 + * b => 2 + */ + return q + 1; + } else if (n % 3 == 1) { + /** + * a - => 3 + * - - - => 4 + * - b => 3 + */ + return q + 2; + } else { + /** + * a - => 3 + * - - - => 4 + * - - b => 4 + */ + return q + 3; + } + } else if (i % 3 == 2) { + if (n % 3 == 0) { + /** + * a => 2 + * - - - => 4 + * - b => 3 + */ + return q + 1; + } else if (n % 3 == 1) { + /** + * a => 2 + * - - - => 4 + * - - b => 4 + */ + return q + 2; + } else { + /** + * a => 2 + * - - - => 4 + * - - - => 4 + * b => 2 + */ + return q + 4; + } + } else { + throw new Error("Something is wrong with the index", i); + } +} + +function base64UrlCharTo6Bits(base64UrlChar) { + if (base64UrlChar.length !== 1) { + throw new Error('Invalid base64Url character: ' + base64UrlChar); + } + + // Define the base64URL character set + const base64UrlCharacterSet = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789-_"; + + // Find the index of the input character in the base64URL character set + const index = base64UrlCharacterSet.indexOf(base64UrlChar); + + if (index === -1) { + throw new Error('Invalid base64Url character: ' + base64UrlChar); + } + + // Convert the index to a 6-bit binary string + const binaryString = index.toString(2).padStart(6, '0'); + + // Convert the binary string to an array of bits + const bits = Array.from(binaryString).map(Number); + + return bits; +} + +function base64UrlStringToBitVector(base64UrlString) { + let bitVector = []; + for (let i = 0; i < base64UrlString.length; i++) { + const base64UrlChar = base64UrlString.charAt(i); + const bits = base64UrlCharTo6Bits(base64UrlChar); + bitVector = bitVector.concat(bits); + } + return bitVector; +} + +/** + * Decode a Base64URL substring `s` that appears at index `i` of a valid Base64URL string. + * + * @param {string} s - a Base64URL substring + * @param {number} i - the index at which `s` appears in the Base64URL string + * @returns {string} the decoded string + * + * Like before, we assume tight packing, i.e., both s[i] and s[i + s.length - 1] carry + * non-zero bits of the encoded string. + */ +function decodeB64URL(s, i) { + if (s.length < 2) { + throw new Error(`Input (s = ${s}) is not tightly packed because s.length < 2`); + } + var bits = base64UrlStringToBitVector(s); + + const first_char_offset = i % 4; + if (first_char_offset == 0) { + // skip + } else if (first_char_offset == 1) { + bits = bits.slice(2); + } else if (first_char_offset == 2) { + bits = bits.slice(4); + } else { // (offset == 3) + throw new Error(`Input (s = ${s}) is not tightly packed because i%4 = 3 (i = ${i}))`); + } + + const last_char_offset = (i + s.length - 1) % 4; + if (last_char_offset == 3) { + // skip + } else if (last_char_offset == 2) { + bits = bits.slice(0, bits.length - 2); + } else if (last_char_offset == 1) { + bits = bits.slice(0, bits.length - 4); + } else { // (offset == 0) + throw new Error(`Input (s = ${s}) is not tightly packed because (i + s.length - 1)%4 = 0 (i = ${i}))`); + } + + if (bits.length % 8 != 0) { + throw new Error(`We should never reach here...`); + } + + var bytes = []; + for (let i = 0; i < bits.length; i += 8) { + const bitChunk = bits.slice(i, i + 8); + + // Convert the 8-bit chunk to a byte and add it to the bytes array + const byte = parseInt(bitChunk.join(''), 2); + bytes.push(byte); + } + + return Buffer.from(bytes).toString(); +} + +module.exports = { + getClaimString: getClaimString, + indicesOfB64: indicesOfB64, + b64Len: b64Len, + decodeB64URL: decodeB64URL, + base64UrlCharTo6Bits: base64UrlCharTo6Bits +} \ No newline at end of file diff --git a/openid-zkp-auth/js/prove.js b/openid-zkp-auth/js/prove.js new file mode 100644 index 0000000000..2ace5a807d --- /dev/null +++ b/openid-zkp-auth/js/prove.js @@ -0,0 +1,156 @@ +const fs = require("fs"); +const snarkjs = require("snarkjs"); + +const circuit = require("./circuitutils"); +const constants = require("./constants"); +const utils = require("./utils"); +const verifier = require('./verify'); + +const GOOGLE = require("../testvectors").google; +const TWITCH = require("../testvectors").twitch; + +const groth16Prove = async (inputs, wasm_file, zkey_file) => { + const { proof, publicSignals } = await snarkjs.groth16.fullProve( + inputs, + wasm_file, + zkey_file + ); + + return { proof, publicSignals }; +} + +const groth16Verify = async (proof, public_inputs, vkey_file) => { + const vkey = JSON.parse(fs.readFileSync(vkey_file)); + + const res = await snarkjs.groth16.verify(vkey, public_inputs, proof); + + if (res === true) { + console.log("Verification OK"); + } else { + throw new Error("Invalid Proof"); + } +} + +// Generate a ZKP for a JWT. If a JWK is provided, the JWT is verified first (sanity check). +const zkOpenIDProve = async (jwt, claimsToReveal, provider, jwk="", write_to_file=false) => { + // Check if the JWT is a valid OpenID Connect ID Token if a JWK is provided + if (jwk) { + console.log("Verifying JWT with JWK..."); + verifier.verifyJwt(jwt, jwk); + } + + // Split the JWT into its three parts + const [header, payload, signature] = jwt.split('.'); + const input = header + '.' + payload; + + if (!(provider in constants)) { + throw new Error("Invalid provider. Not in constants.js"); + } + const maxContentLen = constants[provider].maxContentLen; + const maxSubLen = constants[provider].maxSubstrLen; + var [inputs, auxiliary_inputs] = await circuit.genJwtProofUAInputs(input, maxContentLen, claimsToReveal, maxSubLen); + auxiliary_inputs = Object.assign({}, auxiliary_inputs, { + "jwt_signature": signature, + }); + + // Generate ZKP + console.log("Generating ZKP..."); + const WASM_FILE_PATH = `./${provider}/${provider}_js/${provider}.wasm`; + const ZKEY_FILE_PATH = `./${provider}/${provider}.zkey`; + const { proof, publicSignals: public_signals } = await groth16Prove(inputs, WASM_FILE_PATH, ZKEY_FILE_PATH); + + if (write_to_file) { + const PROOF_FILE_PATH = `./${provider}/${provider}.proof`; + const AUX_INPUTS_FILE_PATH = `./${provider}/aux.json`; + const PUBLIC_INPUTS_FILE_PATH = `./${provider}/public.json`; + + console.log("Writing proof..."); + utils.writeJSONToFile(proof, PROOF_FILE_PATH); + utils.writeJSONToFile(public_signals, PUBLIC_INPUTS_FILE_PATH); + utils.writeJSONToFile(auxiliary_inputs, AUX_INPUTS_FILE_PATH); + } + + return { + "zkproof": proof, + "public_inputs": public_signals, + "auxiliary_inputs": auxiliary_inputs + } +}; + +// Not a full implementation: only implements some of the checks. +// For a full implementation, see the Authenticator code in Rust. +const zkOpenIDVerify = async (proof, provider) => { + const { zkproof, public_inputs, auxiliary_inputs: auxiliary_inputs } = proof; + + // Verify ZKP + console.log("Verifying ZKP..."); + const VKEY_FILE_PATH = `./${provider}/${provider}.vkey`; + await groth16Verify(zkproof, public_inputs, VKEY_FILE_PATH); + + const maxContentLen = constants[provider].maxContentLen; + verifier.verifyOpenIDProof(public_inputs, auxiliary_inputs, maxContentLen); +} + +// Check if the script was called directly +if (require.main === module) { + var provider = process.argv[2]; + if (!provider) { + console.log("Using the default provider.."); + provider = "google"; + } else if (provider !== "google" && provider !== "twitch") { + console.error("Invalid provider:", provider); + process.exit(1); + } + + // Read the input string from the command line arguments + var jwt = process.argv[3]; + + if (!jwt) { // this is an optional argument (for now) + console.log("Using the default JWT.."); + if (provider === "google") { + jwt = GOOGLE["jwt"]; + } else if (provider === "twitch") { + jwt = TWITCH["jwt"]; + } + } + + const publicKeyPath = process.argv[4]; + var jwk; + + if (!publicKeyPath) { + console.log("Using the default JWK.."); + if (provider === "google") { + jwk = GOOGLE["jwk"]; + } else if (provider === "twitch") { + jwk = TWITCH["jwk"]; + } + } + else { // this is an optional argument + // Read the JWK from the file + fs.readFile(publicKeyPath, "utf8", (err, jwkJson) => { + if (err) { + console.error("Error reading JWK:", err.message); + process.exit(1); + } + jwk = JSON.parse(jwkJson); + }); + } + + // Call the processing function with the input string + (async () => { + try { + const proof = await zkOpenIDProve(jwt, ["iss", "aud", "nonce"], provider, jwk, write_to_file=true); + + // Print the output to the console + + console.log("--------------------"); + + // Verify the proof + await zkOpenIDVerify(proof, provider); + + process.exit(0); + } catch (error) { + console.error("Error in processJWT:", error); + } + })(); +} \ No newline at end of file diff --git a/openid-zkp-auth/js/utils.js b/openid-zkp-auth/js/utils.js new file mode 100644 index 0000000000..c2d6cd9d86 --- /dev/null +++ b/openid-zkp-auth/js/utils.js @@ -0,0 +1,107 @@ +function arrayChunk(array, chunk_size) { + return Array(Math.ceil(array.length / chunk_size)).fill().map((_, index) => index * chunk_size). + map(begin => array.slice(begin, begin + chunk_size)); +} + +function trimEndByChar(string, character) { + const arr = Array.from(string); + const last = arr.reverse().findIndex(char => char !== character); + return string.substring(0, string.length - last); +} + +function buffer2BitArray(b) { + return b.reduce((bitArray, byte) => { + const binaryString = byte.toString(2).padStart(8, '0'); + const bitValues = binaryString.split('').map(bit => bit === '1' ? 1 : 0); + return bitArray.concat(bitValues); + }, []); +} + +function bitArray2Buffer(a) { + return Buffer.from(arrayChunk(a, 8).map(byte => parseInt(byte.join(''), 2))) +} + +function bigIntArray2Bits(arr, intSize = 16) { + return arr.reduce((bitArray, n) => { + const binaryString = n.toString(2).padStart(intSize, '0'); + const bitValues = binaryString.split('').map(bit => bit === '1' ? 1 : 0); + return bitArray.concat(bitValues); + }, []); +} + +function bigIntArray2Buffer(arr, intSize=16) { + return bitArray2Buffer(bigIntArray2Bits(arr, intSize)); +} + +function pack(inArr, inWidth, outWidth) { + const bits = bigIntArray2Bits(inArr, inWidth); + + const extra_bits = bits.length % outWidth == 0 ? 0 : outWidth - (bits.length % outWidth); + const bits_padded = bits.concat(Array(extra_bits).fill(0)); + if (bits_padded.length % outWidth != 0) throw new Error("Invalid logic"); + + const packed = arrayChunk(bits_padded, outWidth).map(chunk => BigInt("0b" + chunk.join(''))); + return packed; +} + +function padWithZeroes(inArr, outCount) { + const extra_bits = outCount - inArr.length; + const bits_padded = inArr.concat(Array(extra_bits).fill(0)); + return bits_padded; +} + +function poseidonHash(inputs, poseidon) { + if (inputs.length == 1) { + return poseidon.F.toObject(poseidon([inputs])) + } else if (inputs.length <= 15) { + return poseidon.F.toObject(poseidon(inputs)) + } else if (inputs.length <= 30) { + const hash1 = poseidon(inputs.slice(0, 15)); + const hash2 = poseidon(inputs.slice(15)); + return poseidon.F.toObject(poseidon([hash1, hash2])); + } else { + throw new Error(`Yet to implement: Unable to hash a vector of length ${inputs.length}`); + } +} + +function applyMask(input, mask) { + if (input.length != mask.length) { + throw new Error("Input and mask must be of the same length"); + } + return input.map((charCode, index) => (mask[index] == 1) + ? Number(charCode) + : require('./constants').maskValue + ); +} + +async function commitSubID(claim_string, pin, maxSubLength, outWidth=253) { + const buildPoseidon = require("circomlibjs").buildPoseidon; + poseidon = await buildPoseidon(); + + const padded_claim_string = padWithZeroes(claim_string.split('').map(c => c.charCodeAt()), maxSubLength); + const packed_subject_id = pack(padded_claim_string, 8, outWidth); + return poseidonHash([ + poseidonHash(packed_subject_id, poseidon), + pin + ], poseidon); +} + +function writeJSONToFile(inputs, file_name = "inputs.json") { + const fs = require('fs'); + fs.writeFileSync(file_name, JSON.stringify(inputs, null, 2)); +} + +module.exports = { + arrayChunk: arrayChunk, + trimEndByChar: trimEndByChar, + buffer2BitArray: buffer2BitArray, + bitArray2Buffer: bitArray2Buffer, + bigIntArray2Bits: bigIntArray2Bits, + bigIntArray2Buffer: bigIntArray2Buffer, + applyMask: applyMask, + padWithZeroes: padWithZeroes, + pack: pack, + commitSubID: commitSubID, + poseidonHash: poseidonHash, + writeJSONToFile: writeJSONToFile +} diff --git a/openid-zkp-auth/js/verify.js b/openid-zkp-auth/js/verify.js new file mode 100644 index 0000000000..58d408d4ba --- /dev/null +++ b/openid-zkp-auth/js/verify.js @@ -0,0 +1,122 @@ +const jwt = require("jsonwebtoken"); +const jwkToPem = require("jwk-to-pem"); + +const jwtutils = require("./jwtutils"); +const { toBigIntBE } = require("bigint-buffer"); + +// JWT Token, JWK Public Key +const verifyJwt = (token, jwkPublicKey) => { + try { + // Convert the JWK to PEM format + const publicKey = jwkToPem(jwkPublicKey); + + const verifyOptions = { + algorithms: ["RS256"], + ignoreExpiration: true + }; + + const decoded = jwt.verify(token, publicKey, verifyOptions); + console.log("JWT is valid:", decoded); + } catch (error) { + console.error("Invalid JWT:", error.message); + } +}; + +// A partial implementation of the on-chain proof verification logic. Only checks the masked_content. +const verifyOpenIDProof = (public_inputs, auxiliary_inputs, MAX_JWT_LENGTH) => { + checkMaskedContent( + auxiliary_inputs["masked_content"], + auxiliary_inputs["num_sha2_blocks"], + auxiliary_inputs["payload_start_index"], + auxiliary_inputs["payload_len"], + MAX_JWT_LENGTH + ); +} + +function checkMaskedContent ( + masked_content, + num_sha2_blocks, + expected_payload_start_index, + expected_payload_len, + expected_length +){ + if (masked_content.length != expected_length) throw new Error("Invalid length"); + if (num_sha2_blocks * 64 > masked_content.length) throw new Error("Invalid last block"); + + // Process any extra padding + extra_padding = masked_content.slice(num_sha2_blocks * 64); + console.log("Length of extra padding:", extra_padding.length); + if (extra_padding != '') { + if (extra_padding.some(e => e != 0)) throw new Error("Invalid extra padding"); + masked_content = masked_content.slice(0, num_sha2_blocks * 64); + } + + // Process header + const header_length = masked_content.indexOf('.'.charCodeAt()); + if (header_length == -1 || header_length != expected_payload_start_index - 1) throw new Error("Invalid header length"); + + const encodedHeader = masked_content.slice(0, header_length).map(e => String.fromCharCode(e)).join(''); + const header = Buffer.from(encodedHeader, 'base64url').toString('utf8'); + // console.log("header", header); + // ...JSON Parse header... + + // Process SHA-2 padding + const payload_and_sha2pad = masked_content.slice(header_length + 1); + var header_and_payload_len_in_bits = toBigIntBE(Buffer.from(payload_and_sha2pad.slice(-8))); + if (header_and_payload_len_in_bits > Number.MAX_SAFE_INTEGER) { // 2^53 - 1 + throw new Error("Too large header_and_payload_len_in_bits"); + } + // casting to a number should work for our use case as the numbers aren't big + header_and_payload_len_in_bits = Number(header_and_payload_len_in_bits); + if (header_and_payload_len_in_bits % 8 != 0) throw new Error("Invalid header_and_payload_len_in_bits"); + const header_and_payload_len = header_and_payload_len_in_bits / 8; + + const payload_len = header_and_payload_len - expected_payload_start_index; + if (payload_len != expected_payload_len) throw new Error(`Invalid payload length: ${payload_len} != ${expected_payload_len}`); + + const payload = payload_and_sha2pad.slice(0, payload_len); + const sha2pad = payload_and_sha2pad.slice(payload_len); + + if (sha2pad[0] != 128) throw new Error("Invalid sha2pad start byte"); + if (sha2pad.slice(1, -8).some(e => e != 0)) throw new Error("Invalid sha2pad"); + // TODO: Check that the length of sha2pad.slice(1, -8) satisfies 4.1(b) from https://datatracker.ietf.org/doc/html/rfc4634#section-4.1 + + // Process payload + const maskedPayload = payload.map(e => String.fromCharCode(e)).join(''); + console.log("Masked payload:", maskedPayload); + const claims = extractClaims(maskedPayload); + console.log("Revealed claims:", claims); + + for (const claim of claims) { + if (claim[0] !== '"') { + // First character of each extracted_claim must be '"' (extractClaims omits partial bits at the start) + console.log("Invalid claim", claim); + throw new Error("Invalid claim"); + } + + if (!(claim.slice(-1) === '}' || claim.slice(-1) === ',')) { + // Last character of each extracted_claim must be '}' or ',' + console.log("Invalid claim", claim); + throw new Error("Invalid claim"); + } + } +} + +// Extracts the claims from the masked payload. +// 1. Extract continguous sets of non-masked characters +// 2. For each group of Base64 chars, find its starting index and prefix-pad with enough '0's before Base64 decoding. +function extractClaims(maskedPayload) { + return maskedPayload.split(/=+/).filter(e => e !== '').map( + e => { + const pos = maskedPayload.indexOf(e); + return jwtutils.decodeB64URL(e, pos % 4); + } + ); +} + +module.exports = { + verifyJwt, + verifyOpenIDProof, + checkMaskedContent, + extractClaims +}; diff --git a/openid-zkp-auth/package-lock.json b/openid-zkp-auth/package-lock.json new file mode 100644 index 0000000000..ffa3c1356e --- /dev/null +++ b/openid-zkp-auth/package-lock.json @@ -0,0 +1,2829 @@ +{ + "name": "openid-zkp-auth", + "version": "1.0.0", + "lockfileVersion": 3, + "requires": true, + "packages": { + "": { + "name": "openid-zkp-auth", + "version": "1.0.0", + "license": "ISC", + "dependencies": { + "bigint-buffer": "^1.1.5", + "circomlib": "^2.0.5", + "jsonwebtoken": "^9.0.0", + "jwk-to-pem": "^2.0.5", + "node-rsa": "^1.1.1", + "snarkjs": "^0.6.10", + 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+1,27 @@ +{ + "name": "openid-zkp-auth", + "version": "1.0.0", + "description": "Verify OIDC JWT with SNARKs", + "scripts": { + "test": "mocha --max-old-space-size=16000 -t 10000s", + "prove": "node js/prove.js" + }, + "author": "", + "license": "ISC", + "dependencies": { + "bigint-buffer": "^1.1.5", + "circomlib": "^2.0.5", + "jsonwebtoken": "^9.0.0", + "jwk-to-pem": "^2.0.5", + "node-rsa": "^1.1.1", + "snarkjs": "^0.6.10", + "temp": "^0.9.4" + }, + "devDependencies": { + "circom_tester": "^0.0.19", + "circomlibjs": "^0.1.7", + "jose": "^4.3.7", + "mocha": "^10.2.0", + "node-jose": "^2.0.0" + } +} diff --git a/openid-zkp-auth/test/base64.circom.test.js b/openid-zkp-auth/test/base64.circom.test.js new file mode 100644 index 0000000000..b0e08066db --- /dev/null +++ b/openid-zkp-auth/test/base64.circom.test.js @@ -0,0 +1,36 @@ +const path = require("path"); +const assert = require("chai").assert; + +const testutils = require("./testutils"); +const jwtutils = require("../js/jwtutils"); + +describe("Base64 checks", () => { + before(async() => { + cir = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "base64.circom"), "B64URLToBits"); + await cir.loadSymbols(); + }); + + it("Should convert all valid base64 url characters", async () => { + const input = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789-_"; + + for (let i = 0; i < input.length; i++) { + const witness = await cir.calculateWitness({ "in": input.charCodeAt(i) }); + const output = testutils.getWitnessArray(witness, cir.symbols, "main.out"); + assert.deepEqual(output.map(Number), jwtutils.base64UrlCharTo6Bits(input.charAt(i))); + } + }) + + it("Should fail for non-base64 characters", async () => { + const base64 = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789-_"; + const ascii = base64.split('').map(x => x.charCodeAt(0)); + + // generate all possible 8-bit values that are not valid base64 characters + for (let i = 0; i < 256; i++) { + if (!ascii.includes(i)) { + const witness = await cir.calculateWitness({ "in": i }); + const output = testutils.getWitnessArray(witness, cir.symbols, "main.out"); + assert.deepEqual(output, [ 0n, 0n, 0n, 0n, 0n, 0n ]); + } + } + }) +}) \ No newline at end of file diff --git a/openid-zkp-auth/test/main.circom.test.js b/openid-zkp-auth/test/main.circom.test.js new file mode 100644 index 0000000000..e8d74656f4 --- /dev/null +++ b/openid-zkp-auth/test/main.circom.test.js @@ -0,0 +1,276 @@ +const chai = require("chai"); +const path = require("path"); +const assert = chai.assert; +const expect = chai.expect; + +const jwtutils = require("../js/jwtutils"); +const circuitutils = require("../js/circuitutils"); +const constants = require('../js/constants'); +const utils = require("../js/utils"); +const verify = require('../js/verify'); + +const testutils = require("./testutils"); + +async function genCircuit(maxContentLen, maxSubLength) { + return await testutils.genMain( + path.join(__dirname, "../circuits", "jwt_proof_ua.circom"), "JwtProofUA", [ + maxContentLen, + maxSubLength + ] + ); +} + +async function genProof(jwt, maxContentLen, claimsToReveal, maxSubLength, circuit, nTamper = false, tamperedClaim = ''){ + const [header, payload, _] = jwt.split('.'); + const input = header + '.' + payload; + var [inputs, auxiliary_inputs] = await circuitutils.genJwtProofUAInputs( + input, + maxContentLen, + claimsToReveal, + maxSubLength + ); + if (nTamper) { // Tamper with some inputs for testing purposes + inputs["subject_id"] = utils.padWithZeroes(tamperedClaim.split('').map(c => c.charCodeAt()), maxSubLength); + inputs["sub_length_ascii"] = tamperedClaim.length; + } + utils.writeJSONToFile(inputs, "inputs.json"); + + const w = await circuit.calculateWitness(inputs, true); + await circuit.checkConstraints(w); + + const masked_content = utils.applyMask(inputs["content"], inputs["mask"]); + verify.checkMaskedContent( + masked_content, + inputs["num_sha2_blocks"], + inputs["payload_start_index"], + inputs["payload_len"], + maxContentLen + ); + + return [inputs, auxiliary_inputs]; +} + +describe("JWT Proof", function() { + const GOOGLE = require("../testvectors").google; + const TWITCH = require("../testvectors").twitch; + + const test_vectors = { + google: { + jwt: GOOGLE["jwt"], + jwk: GOOGLE["jwk"], + maxContentLen: constants.google.maxContentLen, + claimsToReveal: constants.google.claimsToReveal, + maxSubstrLen: constants.google.maxSubstrLen + }, + twitch: { + jwt: TWITCH["jwt"], + jwk: TWITCH["jwk"], + maxContentLen: constants.twitch.maxContentLen, + claimsToReveal: constants.twitch.claimsToReveal, + maxSubstrLen: constants.twitch.maxSubstrLen + } + } + + for (const [provider, constants] of Object.entries(test_vectors)) { + describe(provider, async function() { + it("Verify JWT with JWK", async function() { + verify.verifyJwt(constants["jwt"], constants["jwk"]); + }); + + it("Prove", async function() { + const circuit = await genCircuit( + constants["maxContentLen"], + constants["maxSubstrLen"] + ); + await genProof( + constants["jwt"], + constants["maxContentLen"], + constants["claimsToReveal"], + constants["maxSubstrLen"], + circuit + ); + }); + }); + } +}); + +// Stringify and convert to base64. +// Note: Signature is omitted as this function is only meant for testing. +function constructJWT(header, payload) { + header = JSON.stringify(header); + payload = JSON.stringify(payload); + const b64header = Buffer.from(header).toString('base64url'); + const b64payload = Buffer.from(payload).toString('base64url'); + + if (b64header.slice(-1) === '=' || b64payload.slice(-1) === '=') { + throw new Error("Unexpected '=' in base64url string"); + } + + return b64header + "." + b64payload + "."; +} + +describe("Tests with crafted JWTs", () => { + const header = { + "alg":"RS256", + "kid":"827917329", + "typ":"JWT" + }; + const payload = { // Resembles Google's JWT + iss: 'google.com', + azp: 'example.com', + aud: 'example.com', + sub: '4840061', + nonce: 'abcd', + iat: 4, + exp: 4, + jti: 'a8a0728a' + }; + const claim_string = '"sub":"4840061",'; + const sub_commitment = '6621753577113798222817846331081670375939652571040388319046768774068537034346'; + const pin = 123456789; + + // const b64header = utils.trimEndByChar(Buffer.from(header, 'base64url').toString('base64url'), '='); + // const b64payload = utils.trimEndByChar(Buffer.from(payload, 'base64url').toString('base64url'), '='); + const jwt = constructJWT(header, payload); + + const maxContentLen = 64 * 6; + const maxSubLength = 21; + + before(async () => { + expect(jwtutils.getClaimString(JSON.stringify(payload), "sub")).equals(claim_string); + expect(claim_string.length).at.most(maxSubLength); + expect((await utils.commitSubID(claim_string.slice(0, -1), pin, maxSubLength)).toString()).equals(sub_commitment); + console.log("JWT: ", jwt); + circuit = await genCircuit(maxContentLen, maxSubLength); + }); + + it("No change", async function() { + const [_, aux] = await genProof( + jwt, + maxContentLen, + ["iss", "aud", "nonce"], + maxSubLength, + circuit + ); + expect(aux["sub_id_com"]).equals(sub_commitment); + }); + + it("Sub claim comes first!", async function() { + const new_payload = { + sub: '4840061', + iss: 'google.com', + azp: 'example.com', + aud: 'example.com', + nonce: 'abcd', + iat: 4, + exp: 4, + jti: 'a8a0728a' + }; + const new_jwt = constructJWT(header, new_payload); + const [_, aux] = await genProof( + new_jwt, + maxContentLen, + ["iss", "aud", "nonce"], + maxSubLength, + circuit + ); + expect(aux["sub_id_com"]).equals(sub_commitment); + }); + + it("Sub claim comes last!", async function() { + const new_payload = { + iss: 'google.com', + azp: 'example.com', + aud: 'example.com', + nonce: 'abcd', + iat: 4, + exp: 4, + jti: 'a8a0728a', + sub: '4840061' + }; + const new_jwt = constructJWT(header, new_payload); + const [_, aux] = await genProof( + new_jwt, + maxContentLen, + ["iss", "aud", "nonce"], + maxSubLength, + circuit + ); + expect(aux["sub_id_com"]).equals(sub_commitment); + }); + + it("Order of claims is jumbled!", async function() { + const new_payload = { + iat: 4, + iss: 'google.com', + aud: 'example.com', + jti: 'a8a0728a', + exp: 4, + sub: '4840061', + azp: 'example.com', + nonce: 'abcd', + }; + const new_jwt = constructJWT(header, new_payload); + const [_, aux] = await genProof( + new_jwt, + maxContentLen, + ["iss", "aud", "nonce"], + maxSubLength, + circuit + ); + expect(aux["sub_id_com"]).equals(sub_commitment); + }); + + it("(Fail) Sub claim has invalid value!", async () => { + const failing_cases = [ + '4840062', + '3840061', + '48', + '48400610', + '04840061', + 4840061 // Number + ]; + for (var i = 0; i < failing_cases.length; i++) { + const sub = failing_cases[i]; + const new_payload = { + iss: 'google.com', + azp: 'example.com', + aud: 'example.com', + nonce: 'abcd', + iat: 4, + exp: 4, + jti: 'a8a0728a', + sub: sub + }; + const new_jwt = constructJWT(header, new_payload); + // console.log(JSON.stringify(new_payload)); + // console.log("New JWT: ", new_jwt); + + // The on-chain address should be different + const [_, aux] = await genProof( + new_jwt, + maxContentLen, + ["iss", "aud", "nonce"], + maxSubLength, + circuit + ); + expect(aux["sub_id_com"]).not.equals(sub_commitment); + + // Fake the subject_id array to match sub_commitment + try { + await genProof( + new_jwt, + maxContentLen, + ["iss", "aud", "nonce"], + maxSubLength, + circuit, + true, + claim_string + ); + assert.fail("Should have failed"); + } catch (error) { + assert.include(error.message, 'Error in template ASCIISubstrExistsInB64'); + } + } + }); +}); \ No newline at end of file diff --git a/openid-zkp-auth/test/masking.test.js b/openid-zkp-auth/test/masking.test.js new file mode 100644 index 0000000000..9ff10a76d3 --- /dev/null +++ b/openid-zkp-auth/test/masking.test.js @@ -0,0 +1,161 @@ +const chai = require("chai"); +const assert = chai.assert; + +const circuit = require("../js/circuitutils"); +const utils = require("../js/utils"); +const jwtutils = require("../js/jwtutils"); +const verify = require("../js/verify"); + +const GOOGLE1 = require("../testvectors").google.jwt; +const GOOGLE2 = require("../testvectors").google_old.jwt; +const FB = require("../testvectors").facebook.jwt; + +function getAllClaims(jwt) { + const payload = Buffer.from(jwt.split('.')[1], 'base64url').toString(); + const json = JSON.parse(payload); + return Object.keys(json); +} + +function maskTesting(jwt, claimsToReveal, print=false) { + if (print) console.log("Reveal:", claimsToReveal); + var mask = circuit.genJwtMask(jwt, claimsToReveal); + if (print) console.log("Mask:", mask.join('')); + + var masked_jwt = utils.applyMask(new Uint8Array(Buffer.from(jwt)) , mask); + masked_jwt = Buffer.from(masked_jwt).toString(); + if (print) console.log("Masked JWT:", masked_jwt); + + const header_length = masked_jwt.indexOf('.'); + if (header_length == -1) throw new Error("Invalid header length"); + + const encoded_header = masked_jwt.slice(0, header_length); + // const extracted_header = Buffer.from(encoded_header, 'base64url').toString('utf8'); + if (encoded_header !== jwt.split('.')[0]) { + console.log("header", encoded_header, "\njwt", jwt.split('.')[0]); + throw new Error("Header not found in masked JWT"); + } + + const encoded_payload = masked_jwt.slice(header_length + 1); + const extracted_claims = verify.extractClaims(encoded_payload); + + // We just check that each full claim string is present (somewhere) in the masked JWT. In practice, these would need to parsed out. + // Note that some claims might not be at the start of an extracted_claim, e.g., if consecutive claims are being revealed. + for (const claim of claimsToReveal) { + const claim_string = jwtutils.getClaimString(Buffer.from(jwt.split('.')[1], 'base64url').toString(), claim); + if (!extracted_claims.some(e => e.includes(claim_string))) { + console.log("Can't find claim", claim, "in", extracted_claims); + throw new Error("Claim not found in masked JWT"); + } + } + + for (const claim of extracted_claims) { + if (claim[0] !== '"') { + // First character of each extracted_claim must be '"' (extractClaims omits partial bits at the start) + console.log("Invalid claim", claim); + throw new Error("Invalid claim"); + } + + if (!(claim.slice(-1) === '}' || claim.slice(-1) === ',')) { + // Last character of each extracted_claim must be '}' or ',' + console.log("Invalid claim", claim); + throw new Error("Invalid claim"); + } + } + + if (print) console.log("Extracted claims:", extracted_claims); + if (print) console.log('\n'); + return extracted_claims; +} + +function subsets(array) { + return array.reduce( + (subsets, value) => subsets.concat( + subsets.map(set => [value, ...set]) + ), + [[]] + ); +} + +describe("Masking with dummy JWTs", function() { + // Creates a JWT-like string from a header and payload + const constructJWT = (header, payload) => { + jwt = utils.trimEndByChar(Buffer.from(header).toString('base64url'), '=') + + '.' + utils.trimEndByChar(Buffer.from(payload).toString('base64url'), '='); + return jwt; + } + + it(("#1"), function() { + header = '{"kid":abc}'; + payload = '{"iss":123,"azp":"gogle","iat":7890,"exp":101112}'; + + // Create a JWT + jwt = constructJWT(header, payload); + + // Test for all possible subsets of claims + const claims = getAllClaims(jwt); + assert.deepEqual(claims.sort(), ["iss", "azp", "iat", "exp"].sort()); + for (const subset of subsets(claims)) { + maskTesting(jwt, subset); + } + }); + + it(("#2"), function() { + header = '{"kid":abc}'; + payload = '{"iss":1234,"azp":"gogle","iat":7890,"exp":101112}'; + jwt = constructJWT(header, payload); + const claims = getAllClaims(jwt); + for (const subset of subsets(claims)) { + maskTesting(jwt, subset); + } + }); + + it(("#3"), function() { + header = '{"kid":abc}'; + payload = '{"iss":12345,"azp":"gogle","iat":7890,"exp":101112}'; + jwt = constructJWT(header, payload); + const claims = getAllClaims(jwt); + for (const subset of subsets(claims)) { + maskTesting(jwt, subset); + } + }); +}) + +describe("Masking with real JWTs", function() { + it("Google", function() { + const jwt = GOOGLE1.split('.').slice(0,2).join('.'); + const claims = getAllClaims(jwt); + assert.deepEqual(claims.sort(), [ + 'iss', 'azp', + 'aud', 'sub', + 'nonce', 'iat', + 'exp', 'jti' + ].sort()); + for (const subset of subsets(claims)) { + maskTesting(jwt, subset); + } + }); + + it("Google again", function() { + const jwt = GOOGLE2.split('.').slice(0,2).join('.'); + const claims = getAllClaims(jwt); + for (const subset of subsets(claims)) { + maskTesting(jwt, subset); + } + }); + + it("Facebook", function() { + const jwt = FB.split('.').slice(0,2).join('.'); + const claims = getAllClaims(jwt); + assert.deepEqual(claims.sort(), [ + 'aud', 'exp', + 'family_name', 'given_name', + 'iat', 'iss', + 'jti', 'name', + 'nonce', 'picture', + 'sub' + ].sort()); + for (const subset of subsets(claims)) { + maskTesting(jwt, subset); + } + }); +}); \ No newline at end of file diff --git a/openid-zkp-auth/test/misc.circom.test.js b/openid-zkp-auth/test/misc.circom.test.js new file mode 100644 index 0000000000..aa00b9dfdf --- /dev/null +++ b/openid-zkp-auth/test/misc.circom.test.js @@ -0,0 +1,337 @@ +const chai = require("chai"); +const path = require("path"); +const assert = chai.assert; + +const utils = require("../js/utils"); + +const testutils = require("./testutils"); + +describe("Num2BitsBE", () => { + before (async () => { + cir = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "misc.circom"), "Num2BitsBE", [8]); + await cir.loadSymbols(); + }); + + it ("Check 0", async () => { + const witness = await cir.calculateWitness({"in": 0}, true); + await cir.checkConstraints(witness); + const out = testutils.getWitnessArray(witness, cir.symbols, "main.out"); + assert.deepEqual(out, [0n, 0n, 0n, 0n, 0n, 0n, 0n, 0n]); + }); + + it ("Check 1", async () => { + const witness = await cir.calculateWitness({"in": 1}, true); + await cir.checkConstraints(witness); + const out = testutils.getWitnessArray(witness, cir.symbols, "main.out"); + assert.deepEqual(out, [0n, 0n, 0n, 0n, 0n, 0n, 0n, 1n]); + }); + + it ("Check 255", async () => { + const witness = await cir.calculateWitness({"in": 255}, true); + await cir.checkConstraints(witness); + const out = testutils.getWitnessArray(witness, cir.symbols, "main.out"); + assert.deepEqual(out, [1n, 1n, 1n, 1n, 1n, 1n, 1n, 1n]); + }); + + it("Check 256: must throw an error", async () => { + try { + const witness = await cir.calculateWitness({"in": 256}, true); + await cir.checkConstraints(witness); + assert.fail("Should have failed"); + } catch (error) { + assert.include(error.message, "Error in template Num2BitsBE"); + } + }); + + it ("Check -1: must throw an error", async () => { + try { + const witness = await cir.calculateWitness({"in": -1}, true); + await cir.checkConstraints(witness); + assert.fail("Should have failed"); + } catch (error) { + assert.include(error.message, "Error in template Num2BitsBE"); + } + }); +}) + +describe("Bits2NumBE", () => { + before (async () => { + cir = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "misc.circom"), "Bits2NumBE", [8]); + await cir.loadSymbols(); + }); + + it ("Check 0", async () => { + const witness = await cir.calculateWitness({"in": [0n, 0n, 0n, 0n, 0n, 0n, 0n, 0n]}, true); + await cir.checkConstraints(witness); + const out = testutils.getWitnessValue(witness, cir.symbols, "main.out"); + assert.equal(out, 0n); + }); + + it ("Check 1", async () => { + const witness = await cir.calculateWitness({"in": [0n, 0n, 0n, 0n, 0n, 0n, 0n, 1n]}, true); + await cir.checkConstraints(witness); + const out = testutils.getWitnessValue(witness, cir.symbols, "main.out"); + assert.equal(out, 1n); + }); + + it ("Check 255", async () => { + const witness = await cir.calculateWitness({"in": [1n, 1n, 1n, 1n, 1n, 1n, 1n, 1n]}, true); + await cir.checkConstraints(witness); + const out = testutils.getWitnessValue(witness, cir.symbols, "main.out"); + assert.equal(out, 255n); + }); +}); + +describe("Packer checks", () => { + it("Checking Packer Case 0: input and output should be same", async () => { + cir_fixed = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "misc.circom"), "Packer", [4, 4, 4, 4]); + await cir_fixed.loadSymbols(); + input = [1,2,3,4]; + const witness = await cir_fixed.calculateWitness({ "in": input }); + + const out = testutils.getWitnessArray(witness, cir_fixed.symbols, "main.out").map(e => Number(e) - '0'); + assert.deepEqual(out, [1, 2, 3, 4]); + assert.deepEqual(out, utils.pack(input, 4, 4).map(Number)); + }); + + it("Checking Packer Case 1: Output width is multiple of input width", async () => { + cir_fixed = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "misc.circom"), "Packer", [4, 4, 8, 2]); + await cir_fixed.loadSymbols(); + input = [1,2,3,4]; + const witness = await cir_fixed.calculateWitness({ "in": input }); + + const out = testutils.getWitnessArray(witness, cir_fixed.symbols, "main.out").map(e => Number(e) - '0'); + assert.deepEqual(out, [18, 52]); + assert.deepEqual(out, utils.pack(input, 4, 8).map(Number)); + }); + + it("Checking Packer Case 2: Output width is not a multiple of input width", async () => { + cir_fixed = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "misc.circom"), "Packer", [4, 4, 6, 3]); + await cir_fixed.loadSymbols(); + input = [1,2,3,4]; + const witness = await cir_fixed.calculateWitness({ "in": input }); + + const out = testutils.getWitnessArray(witness, cir_fixed.symbols, "main.out").map(e => Number(e) - '0'); + assert.deepEqual(out, [4, 35, 16]); + assert.deepEqual(out, utils.pack(input, 4, 6).map(Number)); + }); + + it("Checking Packer Case 3: Edge case - just one input", async () => { + cir_fixed = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "misc.circom"), "Packer", [1, 1, 6, 1]); + await cir_fixed.loadSymbols(); + input = [1]; + const witness = await cir_fixed.calculateWitness({ "in": input }); + + const out = testutils.getWitnessArray(witness, cir_fixed.symbols, "main.out").map(e => Number(e) - '0'); + assert.deepEqual(out, [32]); + assert.deepEqual(out, utils.pack(input, 1, 6).map(Number)); + }); + + it("Checking Packer Case 4: Edge case - just one output", async () => { + cir_fixed = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "misc.circom"), "Packer", [4, 4, 16, 1]); + await cir_fixed.loadSymbols(); + input = [1, 2, 3, 4]; + const witness = await cir_fixed.calculateWitness({ "in": input }); + + const out = testutils.getWitnessArray(witness, cir_fixed.symbols, "main.out").map(e => Number(e) - '0'); + assert.deepEqual(out, [4660]); + assert.deepEqual(out, utils.pack(input, 4, 16).map(Number)); + }); + + it("Checking Packer Case 5: Assert fail for myOutCount != outCount", async () => { + try { + cir_fixed = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "misc.circom"), "Packer", [4, 4, 16, 2]); + assert.fail("Should have failed"); + } catch (error) { + assert.include(error.message, "assert(myOutCount == outCount)"); + } + }); + + it("Checking Packer Case 6: Another test of correct padding", async () => { + cir_fixed = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "misc.circom"), "Packer", [4, 4, 7, 3]); + await cir_fixed.loadSymbols(); + input = [7,1,8,2]; + const witness = await cir_fixed.calculateWitness({ "in": input }); + + const out = testutils.getWitnessArray(witness, cir_fixed.symbols, "main.out").map(e => Number(e) - '0'); + assert.deepEqual(out, [56, 96, 64]); + assert.deepEqual(out, utils.pack(input, 4, 7).map(Number)); + }); +}); + +describe("RemainderMod4 checks", () => { + it("Positive + Negative cases", async () => { + cir_fixed = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "misc.circom"), "RemainderMod4", [3]); + await cir_fixed.loadSymbols(); + inputs = [1,2,3,4,5,6,7]; + for (let i = 0; i < inputs.length; i++) { // Should pass + const witness = await cir_fixed.calculateWitness({ "in": inputs[i] }); + await cir_fixed.checkConstraints(witness); + const out = testutils.getWitnessValue(witness, cir_fixed.symbols, "main.out"); + assert.deepEqual(out, BigInt(inputs[i] % 4)); + } + + try { + const witness = await cir_fixed.calculateWitness({ "in": 8 }); + await cir_fixed.checkConstraints(witness); + assert.fail("Should have failed"); + } + catch (error) { + assert.include(error.message, 'Error in template Num2Bits', error.message); // Num2Bits does the length check + } + }) +}) + +describe("Number to bit vector checks", () => { + it("OneBitVector", async () => { + circuit = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "misc.circom"), "OneBitVector", [4]); + await circuit.loadSymbols(); + + // Success + for (let i = 0; i < 4; i++) { + const w = await circuit.calculateWitness({ "index": i }); + await circuit.checkConstraints(w); + var ans = [0n, 0n, 0n, 0n]; + ans[i] = 1n; + assert.sameOrderedMembers( + testutils.getWitnessArray(w, circuit.symbols, "main.out"), ans + ); + } + + // Failure + for (let i of [-1, 4, 8]) { + try { + const w = await circuit.calculateWitness({ "index": i }); + await circuit.checkConstraints(w); + assert.fail("Should have failed"); + } catch (error) { + assert.include(error.message, 'Error in template OneBitVector', error.message); + } + } + }) + + it("GTBitVector", async () => { + circuit = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "misc.circom"), "GTBitVector", [4]); + await circuit.loadSymbols(); + + // Success + for (let i = 0; i <= 4; i++) { + const w = await circuit.calculateWitness({ "index": i }); + await circuit.checkConstraints(w); + var ans = [0n, 0n, 0n, 0n]; + for (let j = i; j < 4; j++) { + ans[j] = 1n; + } + assert.sameOrderedMembers( + testutils.getWitnessArray(w, circuit.symbols, "main.out"), ans + ); + } + + // Failure + for (let i of [-1, 5, 8]) { + try { + const w = await circuit.calculateWitness({ "index": i }); + await circuit.checkConstraints(w); + assert.fail("Should have failed"); + } catch (error) { + assert.include(error.message, 'Error in template GTBitVector', error.message); + } + } + }) + + it("LTBitVector", async () => { + circuit = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "misc.circom"), "LTBitVector", [4]); + await circuit.loadSymbols(); + + // Success + for (let i = 0; i <= 4; i++) { + const w = await circuit.calculateWitness({ "index": i }); + await circuit.checkConstraints(w); + var ans = [0n, 0n, 0n, 0n]; + for (let j = 0; j < i; j++) { + ans[j] = 1n; + } + assert.sameOrderedMembers( + testutils.getWitnessArray(w, circuit.symbols, "main.out"), ans + ); + } + + // Failure + for (let i of [-1, 5, 8]) { + try { + const w = await circuit.calculateWitness({ "index": i }); + await circuit.checkConstraints(w); + assert.fail("Should have failed"); + } catch (error) { + assert.include(error.message, 'Error in template LTBitVector', error.message); + } + } + }) +}); + +describe("RangeCheck", () => { + async function genCircuit(nBits, max) { + return await testutils.genMain( + path.join(__dirname, "../circuits/helpers", "misc.circom"), + "RangeCheck", + [nBits, max] + ); + } + + it("Positive", async () => { + var nBits = 4; + var max = 8; + + circuit = await genCircuit(nBits, max); + + for (var i = 0; i <= max; i++) { + const w = await circuit.calculateWitness({ "in": 0}); + await circuit.checkConstraints(w); + } + }) + + describe("Negative", async () => { + var nBits = 4; + var max = 8; + + before(async () => { + circuit = await genCircuit(nBits, max); + }); + + it("max < in < 2^nBits", async () => { + for (var i of [9, 10, 11, 15]) { // + try { + const w = await circuit.calculateWitness({ "in": i}); + await circuit.checkConstraints(w); + assert.fail("Should have failed"); + } catch (error) { + assert.include(error.message, 'Error in template RangeCheck'); + } + } + }); + + it("in < 0", async () => { + for (var i of [-1, -2, -3, -4]) { + try { + const w = await circuit.calculateWitness({ "in": i}); + await circuit.checkConstraints(w); + assert.fail("Should have failed"); + } catch (error) { + assert.include(error.message, 'Error in template RangeCheck'); + } + } + }); + + it("in >= 2^nBits", async () => { + for (var i of [16, 17, 18, 19, 20]) { + try { + const w = await circuit.calculateWitness({ "in": i}); + await circuit.checkConstraints(w); + assert.fail("Should have failed"); + } catch (error) { + assert.include(error.message, 'Error in template RangeCheck'); + } + } + }); + }); +}); \ No newline at end of file diff --git a/openid-zkp-auth/test/sha256.circom.test.js b/openid-zkp-auth/test/sha256.circom.test.js new file mode 100644 index 0000000000..b0933242ca --- /dev/null +++ b/openid-zkp-auth/test/sha256.circom.test.js @@ -0,0 +1,100 @@ +const chai = require("chai"); +const path = require("path"); +const assert = chai.assert; +const crypto = require("crypto"); + +const {toBigIntBE} = require('bigint-buffer'); + +const utils = require("../js/utils"); +const circuit = require("../js/circuitutils"); + +const testutils = require("./testutils"); +const { inWidth } = require("../js/constants"); + +describe("Unsafe SHA256", () => { + const nBlocks = 4; + const nWidth = 8; + const nCount = nBlocks * 512 / nWidth; + + const outWidth = 128; + const outCount = 256 / outWidth; + + const bytesToBlock = 512/8; // 64 + var cir; + + before(async() => { + cir = await testutils.genMain( + path.join(__dirname, "../circuits/helpers", "sha256.circom"), + "Sha2_wrapper", + [nWidth, nCount, outWidth, outCount] + ); + await cir.loadSymbols(); + }); + + async function test(i, expected_num_sha2_blocks) { + const input = crypto.randomBytes(i * bytesToBlock); + + const hash = crypto.createHash("sha256").update(input).digest("hex"); + + var inputs = circuit.genSha256Inputs(input, nCount, nWidth); + inputs["in"] = inputs["in"].map(bits => toBigIntBE(utils.bitArray2Buffer(bits))); + + assert.equal(inputs["num_sha2_blocks"], expected_num_sha2_blocks); + console.log(`num_sha2_blocks = ${inputs["num_sha2_blocks"]}`); + + const witness = await cir.calculateWitness(inputs, true); + + const hash2 = testutils.getWitnessBuffer(witness, cir.symbols, "main.hash", outWidth).toString("hex"); + console.log(`hash = ${hash2}`); + + assert.equal(hash2, hash); + } + + it(`Hashing produces expected output for 0.5 block`, async () => { + await test(0.5, 1); // num_sha2_blocks = 1 + }); + + it(`Hashing produces expected output for 1 block`, async () => { + await test(1, 2); + }); + + it(`Hashing produces expected output for 2 blocks`, async () => { + await test(2, 3); + }); + + it(`Corner case: num_sha2_blocks = nBlocks`, async () => { + await test(nBlocks - 1, nBlocks); + }); + + it(`Fails when the last byte is non-zero`, async () => { + const input = crypto.randomBytes(1 * bytesToBlock); + + var inputs = circuit.genSha256Inputs(input, nCount, nWidth); + inputs["in"] = inputs["in"].map(bits => toBigIntBE(utils.bitArray2Buffer(bits))); + inputs["in"][inputs["in"].length - 1] = 1n; // Make the last byte non-zero + + try { + await cir.calculateWitness(inputs, true); + assert.fail("Should have thrown an error"); + } catch (e) { + assert.include(e.message, "Error in template Sha2_wrapper"); + } + }); + + it(`Fails when the first byte post SHA2-padding is non-zero`, async () => { + const input = crypto.randomBytes(1 * bytesToBlock); + + var inputs = circuit.genSha256Inputs(input, nCount, nWidth); + inputs["in"] = inputs["in"].map(bits => toBigIntBE(utils.bitArray2Buffer(bits))); + + var num_sha2_blocks = inputs["num_sha2_blocks"]; + inputs["in"][num_sha2_blocks * 512 / nWidth] = 1n; // Make the first byte post SHA2-padding non-zero + + try { + await cir.calculateWitness(inputs, true); + assert.fail("Should have thrown an error"); + } catch (e) { + assert.include(e.message, "Error in template Sha2_wrapper"); + } + }); +}); \ No newline at end of file diff --git a/openid-zkp-auth/test/strings.circom.test.js b/openid-zkp-auth/test/strings.circom.test.js new file mode 100644 index 0000000000..f6d0fe011c --- /dev/null +++ b/openid-zkp-auth/test/strings.circom.test.js @@ -0,0 +1,337 @@ +const chai = require("chai"); +const path = require("path"); +const assert = chai.assert; + +const jwtutils = require("../js/jwtutils"); +const utils = require("../js/utils"); + +const testutils = require("./testutils"); + +describe("Slices", () => { + const file = path.join(__dirname, "../circuits/helpers", "strings.circom"); + + describe("Fixed length", () => { + it("(6, 2)", async () => { + cir_fixed = await testutils.genMain(file, "SliceFixed", [6, 2]); + await cir_fixed.loadSymbols(); + input = [1,2,3,4,5,6]; + + const witness = await cir_fixed.calculateWitness({ "in": input, "index": 1 }); + + assert.sameOrderedMembers(testutils.getWitnessArray(witness, cir_fixed.symbols, "main.out"), [2n, 3n]); + }); + + it("(6, 6)", async () => { + cir_fixed = await testutils.genMain(file, "SliceFixed", [6, 6]); + await cir_fixed.loadSymbols(); + input = [3,1,5,9,2,6]; + + const witness = await cir_fixed.calculateWitness({ "in": input, "index": 0 }); + + assert.sameOrderedMembers(testutils.getWitnessArray(witness, cir_fixed.symbols, "main.out"), [3n, 1n, 5n, 9n, 2n, 6n]); + }); + + it("Fails when OOB: index >= inputLength", async () => { + cir_fixed = await testutils.genMain(file, "SliceFixed", [6, 4]); + await cir_fixed.loadSymbols(); + input = [3,1,5,9,2,6]; + + try { + await cir_fixed.calculateWitness({ "in": input, "index": 6 }); + assert.fail("Should have failed"); + } catch (e) { + assert.include(e.message, "Error in template RangeCheck"); + } + }); + + it("Slice outside: index + outputLength > inputLength", async () => { + cir_fixed = await testutils.genMain(file, "SliceFixed", [6, 4]); + await cir_fixed.loadSymbols(); + input = [3,1,5,9,2,6]; + + try { + await cir_fixed.calculateWitness({ "in": input, "index": 4 }); + assert.fail("Should have failed"); + } catch (e) { + assert.include(e.message, "Error in template RangeCheck"); + } + }); + }) + + describe("Variable length", () => { + it("(6, 4), 2", async () => { + cir_fixed = await testutils.genMain(file, "Slice", [6, 4]); + await cir_fixed.loadSymbols(); + input = [1,2,3,4,5,6]; + + const witness = await cir_fixed.calculateWitness({ "in": input, "index": 1, "length": 2 }); + + assert.sameOrderedMembers(testutils.getWitnessArray(witness, cir_fixed.symbols, "main.out"), [2n, 3n, 0n, 0n]); + }); + + it("Corner case: length = 0", async () => { + cir_fixed = await testutils.genMain(file, "Slice", [6, 4]); + await cir_fixed.loadSymbols(); + input = [1,2,3,4,5,6]; + + const witness = await cir_fixed.calculateWitness({ "in": input, "index": 1, "length": 0 }); + + assert.sameOrderedMembers(testutils.getWitnessArray(witness, cir_fixed.symbols, "main.out"), [0n, 0n, 0n, 0n]); + }); + + it("Corner case: length = outputLength", async () => { + cir_fixed = await testutils.genMain(file, "Slice", [6, 4]); + await cir_fixed.loadSymbols(); + input = [1,2,3,4,5,6]; + + const witness = await cir_fixed.calculateWitness({ "in": input, "index": 1, "length": 4 }); + + assert.sameOrderedMembers(testutils.getWitnessArray(witness, cir_fixed.symbols, "main.out"), [2n, 3n, 4n, 5n]); + }); + + it("Fails when index >= inputLength", async () => { + cir_fixed = await testutils.genMain(file, "Slice", [6, 4]); + await cir_fixed.loadSymbols(); + input = [1,2,3,4,5,6]; + + try { + await cir_fixed.calculateWitness({ "in": input, "index": 6, "length": 4 }); + assert.fail("Should have failed"); + } catch (e) { + assert.include(e.message, "Error in template RangeCheck"); + } + }); + + it("Fails when length > outputLength", async () => { + cir_fixed = await testutils.genMain(file, "Slice", [6, 4]); + await cir_fixed.loadSymbols(); + input = [1,2,3,4,5,6]; + + try { + await cir_fixed.calculateWitness({ "in": input, "index": 1, "length": 5 }); + assert.fail("Should have failed"); + } catch (e) { + assert.include(e.message, "Error in template RangeCheck"); + } + }); + + it("Fails when index + length > inputLength", async () => { + cir_fixed = await testutils.genMain(file, "Slice", [6, 4]); + await cir_fixed.loadSymbols(); + input = [1,2,3,4,5,6]; + try { + await cir_fixed.calculateWitness({ "in": input, "index": 4, "length": 4 }); + assert.fail("Should have failed"); + } catch (e) { + assert.include(e.message, "Error in template RangeCheck"); + } + }); + + it("Slice outside: inputLength >= index + length > outputLength", async () => { + cir_fixed = await testutils.genMain(file, "Slice", [8, 6]); + await cir_fixed.loadSymbols(); + input = [1,2,3,4,5,6,7,8]; + const witness = await cir_fixed.calculateWitness({ "in": input, "index": 4, "length": 4 }); + assert.sameOrderedMembers(testutils.getWitnessArray(witness, cir_fixed.symbols, "main.out"), [5n, 6n, 7n, 8n, 0n, 0n]); + }); + }); +}) + +describe("ASCIISubstrExistsInB64" , () => { + async function genCircuit(maxJwtLen, maxA) { + return await testutils.genMain( + path.join(__dirname, "../circuits/helpers", "strings.circom"), + "ASCIISubstrExistsInB64", + [maxJwtLen, maxA] + ); + } + + async function genProof(circuit, jwt, maxJwtLen, A, maxA, indexB, lenB, payloadIndex, lenA=A.length) { + assert.isTrue(jwt.length <= maxJwtLen, "JWT too long"); + assert.isTrue(A.length <= maxA, "A too long"); + + const witness = await circuit.calculateWitness({ + "b64Str": utils.padWithZeroes(jwt.split("").map(c => c.charCodeAt(0)), maxJwtLen), // pad with 0s + "lenB": lenB, + "BIndex": indexB, + "A": utils.padWithZeroes(A.split("").map(c => c.charCodeAt(0)), maxA), // pad with 0s + "lenA": lenA, + "payloadIndex": payloadIndex + }); + + await circuit.checkConstraints(witness); + } + + describe("lenA < maxA", () => { + const maxJwtLen = 200; + const A = '"sub":"4840061"}'; + const maxA = A.length + 14; + const maxB = 1 + ((maxA / 3) * 4); + var circuit; + + before(() => { + assert.equal(maxA % 3, 0); + assert.isTrue(maxB <= maxJwtLen); + }) + + beforeEach(async () => { + circuit = await genCircuit(maxJwtLen, maxA); + }); + + describe("Simple JWTs", () => { + // Prefixes chosen such that index of A in the JWT is 0, 1, 2 + const prefixes = ['{ ', '{', '{ ']; + const decoded_jwts = prefixes.map(prefix => prefix + A); + const jwts = decoded_jwts.map(jwt => Buffer.from(jwt).toString("base64url")); + + const X = jwts.map(jwt => jwtutils.indicesOfB64(jwt, 'sub')); + const indicesB = X.map(tuple => tuple[0]); + const lensB = X.map(tuple => tuple[1]); + + before(async () => { + assert.equal(maxA % 3, 0); + assert.isTrue(maxB <= maxJwtLen); + for (let i = 0; i < decoded_jwts.length; i++) { + assert.deepEqual(decoded_jwts[i].indexOf(A) % 4 , i); + assert.deepEqual(jwtutils.getClaimString(decoded_jwts[i], 'sub'), A); + assert.deepEqual(jwtutils.decodeB64URL( + jwts[i].slice(indicesB[i], indicesB[i] + lensB[i]), + indicesB[i] + ), A); + } + }); + + for (let offset = 0; offset < 3; offset++) { + it(`Succeeds when A is at offset ${offset}`, async () => { + await genProof(circuit, jwts[offset], maxJwtLen, A, maxA, indicesB[offset], lensB[offset], 0); + }); + + it("Fails when substring index is either large or small", async () => { + for (let i in [1, -1]) { + try { + await genProof(circuit, jwts[offset], maxJwtLen, A, maxA, indicesB[offset] + i, lensB[offset], 0); + assert.fail("Should have failed"); + } catch (e) { + assert.include(e.message, "Error in template ASCIISubstrExistsInB64"); + } + } + }); + + it("Fails when lenB is small", async () => { + try { + await genProof(circuit, jwts[offset], maxJwtLen, A, maxA, indicesB[offset], lensB[offset] - 1, 0); + assert.fail("Should have failed"); + } catch (e) { + assert.include(e.message, "Error in template ASCIISubstrExistsInB64"); + } + }); + + it("Succeeds when lenB is large", async() => { + await genProof(circuit, jwts[offset], maxJwtLen, A, maxA, indicesB[offset], lensB[offset] + 1, 0); + }); + } + + it("Fails when substring index < payload index", async () => { + try { + await genProof(circuit, jwts[0], maxJwtLen, A, maxA, indicesB[0], lensB[0], indicesB[0] + 1); + assert.fail("Should have failed"); + } catch (e) { + assert.include(e.message, "Error in template RemainderMod4"); + assert.include(e.message, "Error in template Num2Bits"); + } + }); + }); + + describe("Bigger JWTs", async () => { + const payload = JSON.stringify({ + "iat": 1616421600, + "exp": 1616425200, + "name": "John Doe", + "sub": "4840061" + }); + const encoded_payload = Buffer.from(payload).toString("base64url"); + + it("No header", async () => { + const jwt = encoded_payload; + [index, len] = jwtutils.indicesOfB64(jwt, 'sub'); + await genProof(circuit, jwt, maxJwtLen, A, maxA, index, len, 0); + }); + + it("With header", async () => { + const header = JSON.stringify({ + "alg": "RS256", + "typ": "JWT" + }); + const jwt = Buffer.from(header).toString("base64url") + "." + encoded_payload; + [index, len] = jwtutils.indicesOfB64(encoded_payload, 'sub'); + const payload_index = jwt.indexOf(encoded_payload); + await genProof(circuit, jwt, maxJwtLen, A, maxA, index + payload_index, len, payload_index); + }); + + it("lenB = maxB", async () => { + const jwt = encoded_payload; + [index, len] = jwtutils.indicesOfB64(jwt, 'sub'); + await genProof(circuit, jwt, maxJwtLen, A, maxA, index, maxB, 0); + }); + + it("Fails when lenB > maxB or lenB < 0", async () => { + const jwt = encoded_payload; + [index, len] = jwtutils.indicesOfB64(jwt, 'sub'); + for (lenB of [-1, maxB + 1]) { + try { + await genProof(circuit, jwt, maxJwtLen, A, maxA, index, lenB, 0); + assert.fail("Should have failed"); + } catch (e) { + assert.include(e.message, "Error in template RangeCheck"); + assert.include(e.message, "Error in template Slice"); + } + } + }) + + it("Fails when lenA > maxA or lenA < 0", async () => { + const jwt = encoded_payload; + [index, len] = jwtutils.indicesOfB64(jwt, 'sub'); + for (lenA of [maxA + 1, -1]) { + try { + await genProof(circuit, jwt, maxJwtLen, A, maxA, index, len, 0, lenA); + assert.fail("Should have failed"); + } catch (e) { + assert.include(e.message, "Error in template LTBitVector"); + } + } + }); + + }); + }); + + it("lenA = maxA", async () => { + const maxJwtLen = 200; + const A = '"sub":"484061",'; // 15 chars + assert.deepEqual(A.length % 3, 0); + + const lenA = A.length; + const maxA = lenA; + const maxB = 1 + ((maxA / 3) * 4); + const header = JSON.stringify({ + "alg": "RS256", + "typ": "JWT" + }); + const payload = JSON.stringify({ + "sub": "484061", + "iat": 1616421600, + "exp": 1616425200, + "name": "John Doe" + }); + assert.deepEqual(jwtutils.getClaimString(payload, 'sub'), A); + const encoded_payload = Buffer.from(payload).toString("base64url"); + const jwt = Buffer.from(header).toString("base64url") + "." + encoded_payload; + + const payload_index = jwt.indexOf(encoded_payload); + + [index, len] = jwtutils.indicesOfB64(encoded_payload, 'sub'); + assert.isAtMost(len, maxB); + + const circuit = await genCircuit(maxJwtLen, maxA); + await genProof(circuit, jwt, maxJwtLen, A, maxA, index + payload_index, len, payload_index); + }); +}); \ No newline at end of file diff --git a/openid-zkp-auth/test/testutils.js b/openid-zkp-auth/test/testutils.js new file mode 100644 index 0000000000..c7cbae6571 --- /dev/null +++ b/openid-zkp-auth/test/testutils.js @@ -0,0 +1,57 @@ +const temp = require("temp"); +const path = require("path"); +const fs = require("fs"); + +const circom_wasm = require("circom_tester").wasm; +const utils = require("../js/utils"); + +function getWitnessValue(witness, symbols, varName) { + return witness[symbols[varName]['varIdx']]; +} + +function getWitnessMap(witness, symbols, arrName) { + return Object.entries(symbols).filter(([index, symbol]) => index.startsWith(arrName)).map(([index, symbol]) => Object.assign({}, symbol, { "name": index, "value": witness[symbol['varIdx']] }) ); +} + +function getWitnessArray(witness, symbols, arrName) { + return Object.entries(symbols).filter(([index, symbol]) => index.startsWith(`${arrName}[`)).map(([index, symbol]) => witness[symbol['varIdx']] ); +} + +function getWitnessBuffer(witness, symbols, arrName, varSize=1) { + const witnessArray = getWitnessArray(witness, symbols, arrName); + if(varSize == 1) { + return utils.bitArray2Buffer(witnessArray); + } else { + return utils.bigIntArray2Buffer(witnessArray, varSize); + } +} + +async function genMain(template_file, template_name, params = [], file_name) { + temp.track(); + + const temp_circuit = await temp.open({prefix: template_name, suffix: ".circom"}); + const include_path = path.relative(temp_circuit.path, template_file); + const params_string = JSON.stringify(params).slice(1, -1); + + fs.writeSync(temp_circuit.fd, ` +pragma circom 2.0.0; + +include "${include_path}"; + +component main = ${template_name}(${params_string}); + `); + + if (file_name !== undefined) { + fs.copyFileSync(temp_circuit.path, file_name); + } + + return circom_wasm(temp_circuit.path); +} + +module.exports = { + getWitnessValue: getWitnessValue, + getWitnessMap: getWitnessMap, + getWitnessArray: getWitnessArray, + getWitnessBuffer: getWitnessBuffer, + genMain: genMain +} \ No newline at end of file diff --git a/openid-zkp-auth/test/utils.test.js b/openid-zkp-auth/test/utils.test.js new file mode 100644 index 0000000000..7c2abaaa16 --- /dev/null +++ b/openid-zkp-auth/test/utils.test.js @@ -0,0 +1,249 @@ +// Tests for important functions in utils.js and jwtutils.js + +const chai = require("chai"); +const assert = chai.assert; +const expect = chai.expect; +const crypto = require("crypto"); + +const circuit = require("../js/circuitutils"); +const utils = require("../js/utils"); +const jwtutils = require("../js/jwtutils"); + +describe("Circuit Utilities", () => { + it("Buffer to/from bit array works as expected", async () => { + const input = crypto.randomBytes(20*32).toString("hex"); + + const bits = utils.buffer2BitArray(Buffer.from(input)); + const buffer = utils.bitArray2Buffer(bits); + + assert.equal(input, buffer.toString()); + }); + + it("rfc4634#4.1 padding conforms: L % 512 = 0", async () => { + const input = crypto.randomBytes(512/8/2).toString("hex"); + + const bits = utils.buffer2BitArray(Buffer.from(input)); + const padded = circuit.padMessage(bits); + + assert.equal(bits.length, 512); + assert.equal(padded.length, 1024); // Padding a 448+-bit message requires an additional block + assert.equal(1, padded.slice(-512, -511)); // Padding begins with 1 + assert.equal(bits.length, parseInt(padded.slice(-64).join(''), 2)); // base2(L) + }); + + it("rfc4634#4.1 padding conforms: L % 512 = 65", async () => { + const input = crypto.randomBytes(512/8/2).toString("hex"); + + const bits = utils.buffer2BitArray(Buffer.from(input)).slice(0, 447); + const padded = circuit.padMessage(bits); + + assert.equal(bits.length, 447); + assert.equal(padded.length, 512); + assert.equal(1, padded.slice(-65, -64)); // Padding begins with 1 + assert.equal(bits.length, parseInt(padded.slice(-64).join(''), 2)); + }); + + it("rfc4634#4.1 padding conforms: L % 512 = 100", async () => { + const input = crypto.randomBytes(512/8/2).toString("hex"); + + const bits = utils.buffer2BitArray(Buffer.from(input)).slice(0, 412); + const padded = circuit.padMessage(bits); + + assert.equal(bits.length, 412); + assert.equal(padded.length, 512); + assert.equal(1, padded.slice(-100, -99)); // Padding begins with 1 + assert.equal(bits.length, parseInt(padded.slice(-64).join(''), 2)); + }); +}); + +describe("JWT utils tests", () => { + const getClaimString = jwtutils.getClaimString; + const b64Len = jwtutils.b64Len; + const indicesOfB64 = jwtutils.indicesOfB64; + const decodeB64URL = jwtutils.decodeB64URL; + + describe("getClaimString", () => { + it("Normal strings", () => { + // Without quotes, not end + assert.deepEqual( + getClaimString('{"iss":12345,"sub":45678,"aud":"https://example.com"}', "iss"), + '"iss":12345,' + ); + + // With quotes, not end + assert.deepEqual( + getClaimString('{"iss":"12345","sub":45678,"aud":"https://example.com"}', "iss"), + '"iss":"12345",' + ); + + // Without quotes, end + assert.deepEqual( + getClaimString('{"iss":12345,"sub":45678}', "sub"), + '"sub":45678}' + ); + + // With quotes, end + assert.deepEqual( + getClaimString('{"iss":12345,"sub":45678,"aud":"https://example.com"}', "aud"), + '"aud":"https://example.com"}' + ); + }) + + it("With escapes", () => { + assert.deepEqual( + getClaimString('{"iss":"https:\\/\\/www.facebook.com","sub":45678,"aud":12345}', "iss"), + '"iss":"https:\\/\\/www.facebook.com",' + ); + + assert.deepEqual( + getClaimString('{"iss":"https:\\/\\/www.facebook.com","sub":45678,"picture":"https:\\/\\/platform-lookaside.fbsbx.com\\/platform\\/profilepic\\/?asid=708562611009525&height=100&width=100&ext=1684596798&hash=AeRIgRL_XooqrdDidNY"}', "picture"), + '"picture":"https:\\/\\/platform-lookaside.fbsbx.com\\/platform\\/profilepic\\/?asid=708562611009525&height=100&width=100&ext=1684596798&hash=AeRIgRL_XooqrdDidNY"}' + ); + }); + }); + + it("b64Len", () => { + assert.deepEqual(b64Len(0, 0), 0, "Test case 1"); + assert.deepEqual(b64Len(3, 0), 4, "Test case 2"); + assert.deepEqual(b64Len(3, 1), 5, "Test case 3"); + assert.deepEqual(b64Len(3, 2), 5, "Test case 4"); + assert.deepEqual(b64Len(6, 0), 8, "Test case 5"); + assert.deepEqual(b64Len(6, 1), 9, "Test case 6"); + assert.deepEqual(b64Len(6, 2), 9, "Test case 7"); + assert.deepEqual(b64Len(9, 0), 12, "Test case 8"); + assert.deepEqual(b64Len(9, 1), 13, "Test case 9"); + assert.deepEqual(b64Len(9, 2), 13, "Test case 10"); + }); + + describe("decodeB64URL", () => { + it("Corner case: Two length strings", () => { + const input = Buffer.from("H").toString('base64url'); + assert.deepEqual(input.length, 2); + assert.deepEqual(decodeB64URL(input, 0), 'H'); + + const input2 = Buffer.from("He").toString('base64url').slice(1); + assert.deepEqual(input2.length, 2); + assert.deepEqual(decodeB64URL(input2, 1), 'e'); + + const input3 = Buffer.from("Hel").toString('base64url').slice(2); + assert.deepEqual(input3.length, 2); + assert.deepEqual(decodeB64URL(input3, 2), 'l'); + }); + + it('should decode a tightly packed base64URL string with i % 4 == 0', () => { + const input = Buffer.from("Hello, world!").toString('base64url'); + const i = 0; + const expected = "Hello, world!"; + + const result = decodeB64URL(input, i); + assert.deepEqual(result, expected); + }); + + it('should decode a tightly packed base64URL string with i % 4 == 1', () => { + const input = Buffer.from("Hello, world").toString('base64url').slice(1); + const i = 1; + const expected = 'ello, world'; + + const result = decodeB64URL(input, i); + assert.deepEqual(result, expected); + }); + + it('should decode a tightly packed base64URL string with i % 4 == 2', () => { + const input = Buffer.from("Hello, world").toString('base64url').slice(2); + const i = 2; + const expected = 'llo, world'; + + const result = decodeB64URL(input, i); + assert.deepEqual(result, expected); + }); + + it('should throw an error when i % 4 == 3', () => { + const input = Buffer.from("Hello, world").toString('base64url'); + + try { + decodeB64URL(input, 3); + assert.fail(); + } catch (e) { + assert.include(e.message, "not tightly packed because i%4 = 3"); + } + }); + + it('should throw an error when (i + s.length - 1) % 4 == 0', () => { + const input = Buffer.from("Hello, world").toString('base64url').slice(1); + const i = 2; + assert.deepEqual((i + input.length - 1) % 4, 0); + try { + decodeB64URL(input, i); + assert.fail(); + } catch (e) { + assert.include(e.message, "not tightly packed because (i + s.length - 1)%4 = 0"); + } + }); + + it("Base64url testing", () => { + // this input has a different base64 and base64url encoding + const extendedInput = ',' + 'abc/?' + '}'; + const b64 = utils.trimEndByChar(Buffer.from(extendedInput).toString('base64'), '='); + const b64url = Buffer.from(extendedInput).toString('base64url'); + assert.isTrue(b64 !== b64url); + + assert.deepEqual(decodeB64URL(b64url, 0), extendedInput); + }) + }) + + describe("indicesOfB64, b64Len, b64Index", () => { + it("Crafted JWTs", () => { + const sub_claim = '"sub":45678'; + [ + '{"sub":45678,"iss":12345}', // At the start + '{"iss":12345,"sub":45678}', // At the end + '{"iss":12345,"sub":45678,"aud":"https://example.com"}' // In the middle + ].forEach(input => { + assert.isTrue(input.includes(sub_claim)); + const sub_claim_with_last_char = getClaimString(input, "sub"); + assert.deepEqual(sub_claim_with_last_char.slice(0, -1), sub_claim); + assert.isTrue(sub_claim_with_last_char.slice(-1) === ',' || sub_claim_with_last_char.slice(-1) === '}'); + + jwt = Buffer.from(input).toString('base64url'); + const [start, len] = indicesOfB64(jwt, "sub"); + + const substr = jwt.slice(start, start + len); + const decoded = decodeB64URL(substr, start % 4); + assert.deepEqual(decoded, sub_claim_with_last_char); + }); + }) + + it("Google JWT", () => { + const jwt = require('../testvectors').google.jwt; + const payload = jwt.split('.')[1]; + const decoded_payload = Buffer.from(payload, 'base64url').toString(); + const sub_claim_with_last_char = getClaimString(decoded_payload, "sub"); + assert.deepEqual(sub_claim_with_last_char, '"sub":"110463452167303598383",'); + + const [start, len] = indicesOfB64(payload, "sub"); + const substr = payload.slice(start, start + len); + const decoded = decodeB64URL(substr, start % 4); + assert.deepEqual(decoded, sub_claim_with_last_char); + }) + + it("Twitch JWT", () => { + const jwt = require('../testvectors').twitch.jwt; + const payload = jwt.split('.')[1]; + const decoded_payload = Buffer.from(payload, 'base64url').toString(); + + const sub_claim_with_last_char = getClaimString(decoded_payload, "sub"); + assert.deepEqual(sub_claim_with_last_char, '"sub":"904448692",'); + const [start, len] = indicesOfB64(payload, "sub"); + const substr = payload.slice(start, start + len); + const decoded = decodeB64URL(substr, start % 4); + assert.deepEqual(decoded, sub_claim_with_last_char); + + const username = getClaimString(decoded_payload, "preferred_username"); + assert.deepEqual(username, '"preferred_username":"joyqvq"}'); + const [start2, len2] = indicesOfB64(payload, "preferred_username"); + const substr2 = payload.slice(start2, start2 + len2); + const decoded2 = decodeB64URL(substr2, start2 % 4); + assert.deepEqual(decoded2, username); + }) + }) +}); \ No newline at end of file diff --git a/openid-zkp-auth/test/zkhasher.circom.test.js b/openid-zkp-auth/test/zkhasher.circom.test.js new file mode 100644 index 0000000000..93fef69309 --- /dev/null +++ b/openid-zkp-auth/test/zkhasher.circom.test.js @@ -0,0 +1,100 @@ +const chai = require("chai"); +const crypto = require("crypto"); +const path = require("path"); +const assert = chai.assert; + +const utils = require("../js/utils"); + +const testutils = require("./testutils"); + +const buildPoseidon = require("circomlibjs").buildPoseidon; + +describe("Zk-friendly hashing (Poseidon) tests", () => { + const P = BigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617"); + const circuit_path = path.join(__dirname, "../circuits/helpers", "zkhasher.circom"); + + before(async () => { + poseidon = await buildPoseidon(); + }); + + it("Hashes a single value", async () => { + cir = await testutils.genMain(circuit_path, "Hasher", [1]); + await cir.loadSymbols(); + input = [1]; + + const witness = await cir.calculateWitness({ "in": input }); + + assert.equal(testutils.getWitnessValue(witness, cir.symbols, "main.out"), + utils.poseidonHash(input, poseidon)); + }); + + it("Hashes two values", async () => { + cir = await testutils.genMain(circuit_path, "Hasher", [2]); + await cir.loadSymbols(); + input = [1, 2]; + + const witness = await cir.calculateWitness({ "in": input }); + + assert.equal(testutils.getWitnessValue(witness, cir.symbols, "main.out"), + utils.poseidonHash(input, poseidon)); + }); + + it("Hashes 15 values", async () => { + cir = await testutils.genMain(circuit_path, "Hasher", [15]); + await cir.loadSymbols(); + input = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]; + const expected_hash = utils.poseidonHash(input, poseidon); + + const witness = await cir.calculateWitness({ "in": input }); + + assert.equal(testutils.getWitnessValue(witness, cir.symbols, "main.out"), expected_hash); + }); + + it("Hashes 16 values", async () => { + cir = await testutils.genMain(circuit_path, "Hasher", [16]); + await cir.loadSymbols(); + input = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]; + const expected_hash = utils.poseidonHash(input, poseidon); + + const witness = await cir.calculateWitness({ "in": input }); + + assert.equal(testutils.getWitnessValue(witness, cir.symbols, "main.out"), expected_hash); + }); + + it("Hashes 30 values", async () => { + cir = await testutils.genMain(circuit_path, "Hasher", [30]); + await cir.loadSymbols(); + input = []; + for (let i = 0; i < 30; i++) { + input.push(i); + } + const expected_hash = utils.poseidonHash(input, poseidon); + + const witness = await cir.calculateWitness({ "in": input }); + + assert.equal(testutils.getWitnessValue(witness, cir.symbols, "main.out"), expected_hash); + }); + + it("Nonce test", async () => { + cir = await testutils.genMain(circuit_path, "Hasher", [4]); + await cir.loadSymbols(); + + const ephPubKey = BigInt("0x" + crypto.randomBytes(32).toString('hex')); + const maxEpoch = 100; + const randomness = BigInt("0x" + crypto.randomBytes(31).toString('hex')); + + assert.isTrue(randomness < P); + + // Breaking it into two chunks to avoid overflow in case ephPubKey > P + const ephPubKey_0 = ephPubKey % 2n**128n; + const ephPubKey_1 = ephPubKey / 2n**128n; + + assert.isTrue(ephPubKey_0 < P); + assert.isTrue(ephPubKey_1 < P); + + const nonceExpected = utils.poseidonHash([ephPubKey_0, ephPubKey_1, maxEpoch, randomness], poseidon); + const witness = await cir.calculateWitness({in: [ephPubKey_0, ephPubKey_1, maxEpoch, randomness]}, true); + const nonceActual = testutils.getWitnessValue(witness, cir.symbols, "main.out"); + assert.deepEqual(nonceActual, nonceExpected); + }); +}); diff --git a/openid-zkp-auth/testvectors.js b/openid-zkp-auth/testvectors.js new file mode 100644 index 0000000000..8497c390bb --- /dev/null +++ b/openid-zkp-auth/testvectors.js @@ -0,0 +1,62 @@ +const GOOGLE_EXTENSION = { + jwt: "eyJhbGciOiJSUzI1NiIsImtpZCI6Ijk2OTcxODA4Nzk2ODI5YTk3MmU3OWE5ZDFhOWZmZjExY2Q2MWIxZTMiLCJ0eXAiOiJKV1QifQ.eyJpc3MiOiJodHRwczovL2FjY291bnRzLmdvb2dsZS5jb20iLCJhenAiOiI1NzU1MTkyMDQyMzctbXNvcDllcDQ1dTJ1bzk4aGFwcW1uZ3Y4ZDg0cWRjOGsuYXBwcy5nb29nbGV1c2VyY29udGVudC5jb20iLCJhdWQiOiI1NzU1MTkyMDQyMzctbXNvcDllcDQ1dTJ1bzk4aGFwcW1uZ3Y4ZDg0cWRjOGsuYXBwcy5nb29nbGV1c2VyY29udGVudC5jb20iLCJzdWIiOiIxMTA0NjM0NTIxNjczMDM1OTgzODMiLCJub25jZSI6IjE2NjM3OTE4ODEzOTA4MDYwMjYxODcwNTI4OTAzOTk0MDM4NzIxNjY5Nzk5NjEzODAzNjAxNjE2Njc4MTU1NTEyMTgxMjczMjg5NDc3IiwiaWF0IjoxNjgyMDAyNjQyLCJleHAiOjE2ODIwMDYyNDIsImp0aSI6ImE4YTA3MjhhM2ZmZDVkYzgxZWNmZDBlYTgxZDBkMzNkODAzZWI4MzAifQ.sOR7RlnMiTpl6UKWVfm2o6TJngmzodj_daWro6uzXYD39UVm1UHk_nL4QuNkLnCIMAxo1utV7cQiQpoA94UquZpnuvs32DZkC-R98iSb99ujjN2jcIZOm8lIs-6LB0Dyme3xXUE3r6Grq8z71UjYZDuPMxi3aYw2D-er0abBwwnmMzEI9FTcgkKASXZOOmkrO502f5BCYp3s5_Hfd4jABoJHY5c9zScX1lzVMI61Z3RcCBWh2f_r88ezGBqXIoLG1K663fB37EhGbRicJEomAAiOn5tIM0gTlxqg_bKpiY8RdrWzh64NhxGeV8y0VkrV1Iuj1-4e2QG864GwZOEguw", + jwk: { + "e": "AQAB", + "kty": "RSA", + "n": "vfBbH3bcgTzYXomo5hmimATzkEF0QIuhMYmwx0IrpdKT6M15b6KBVhZsPfwbRNoui3iBe8xLON2VHarDgXRzrHec6-oLx8Sh4R4B47MdASURoiIOBiSOiJ3BjKQexNXT4wO0ZLSEMTVt_h24fgIerASU6w2XQOeGb7bbgZnJX3a0NAjsfrxCeG0PacWK2TE2R00mZoeAYWtCuAsE-Xz0hkGqEsg7HqIMYeLjQ-NFkGBErGAi5Cd_k3_D7rv0IEdoB1GkJpIdMLqnI-MR_OxsQNZGpC12OaLXCqgkFAgW69QLAG3YMaTFgPi-Us1i2idc4SPADYijiPml---jCap9yw" + }, + header: { + "alg": "RS256", + "kid": "96971808796829a972e79a9d1a9fff11cd61b1e3", + "typ": "JWT" + }, + payload: { + "iss": "https://accounts.google.com", + "azp": "575519204237-msop9ep45u2uo98hapqmngv8d84qdc8k.apps.googleusercontent.com", + "aud": "575519204237-msop9ep45u2uo98hapqmngv8d84qdc8k.apps.googleusercontent.com", + "sub": "110463452167303598383", + "nonce": "16637918813908060261870528903994038721669799613803601616678155512181273289477", + "iat": 1682002642, + "exp": 1682006242, + "jti": "a8a0728a3ffd5dc81ecfd0ea81d0d33d803eb830" + } +} + +const FACEBOOK = { + jwt: "eyJhbGciOiJSUzI1NiIsInR5cCI6IkpXVCIsImtpZCI6IjhhYjM3MTc1MjdhZTQwMWRlNWRjMGRmNGY5ZjJmZTZkNjUwY2NhYWUifQ.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_YXNpZD03MDg1NjI2MTEwMDk1MjUmaGVpZ2h0PTEwMCZ3aWR0aD0xMDAmZXh0PTE2ODQ1OTY3OTgmaGFzaD1BZVJJZ1JMX1hvb3FyZERpZE5ZIn0.taavbVRWSJYQAGVfADLb0Un1gHakURX1lbGO7wjOjRgOZxnoF_1fAOE9QoSftZPMpg4-WhYYl-sC0SxETX6rW9lULT7oNomuO8Jm0kgyxeITvi7oWK_QLt8VWJZPAM2ZP2-xEFR92juQKTnbsuAB14fl2gXKlt_QZDtAmi3Gno0By94E7bWmSPd1mQJA1M0GUu4LDNZe0_mGHEQ9ygamyQVfB9u3STTeb1HOfNKO3HXmwmTJRhdIuc_z96wWBf8-JR52d1gAL0MWL5my6yPyvqtpfti-8-jWYPUuR-KOzhdj-IsaGZMzgJUJZg7wg6z9_P2Uqn3Muh-BSzTNYxVYPQ", + jwk: { + "kid": "8ab3717527ae401de5dc0df4f9f2fe6d650ccaae", + "kty": "RSA", + "alg": "RS256", + "use": "sig", + "n": "xirBDhLBy2BlSheGTJx3_jWdUado6QHTD5_rZK3_26m02zCFGqkHbJJihDwwTdmpVanrw0cb_7OIlw0hZjVNPnjhPHnwy-zT1XYK7qAfVBD0wm9GJhGsAe5dWSCjee7U-uRHAijNYXBeQn5Oh2w1KCCDr6Ccgk65xk5cuMCanKtAf6yXzVnKZJyvBxSzZD4p0Bw8MSOzSXY5srvUSGuCeajV8D-IDaP4LEXWswLUJKD3DrOlKH8QHHUhnPHjXAUZId_PMttmK32TqkWJeL0sjJ2KT68QHXCgL2RDWCg_TiOM8yx_LVGpeg0mLaadw0UNVT_nfmH_1s1S9XVpEu42Xw", + "e": "AQAB" + } +} + +const GOOGLE_PLAYGROUND = { + jwt: 'eyJhbGciOiJSUzI1NiIsImtpZCI6Ijk4NmVlOWEzYjc1MjBiNDk0ZGY1NGZlMzJlM2U1YzRjYTY4NWM4OWQiLCJ0eXAiOiJKV1QifQ.eyJpc3MiOiJodHRwczovL2FjY291bnRzLmdvb2dsZS5jb20iLCJhenAiOiI0MDc0MDg3MTgxOTIuYXBwcy5nb29nbGV1c2VyY29udGVudC5jb20iLCJhdWQiOiI0MDc0MDg3MTgxOTIuYXBwcy5nb29nbGV1c2VyY29udGVudC5jb20iLCJzdWIiOiIxMTc5MTI3MzU2NTg1NDEzMzY2NDYiLCJhdF9oYXNoIjoicm9aYm11cUVXdmNHSThDR2N1SnJmUSIsImlhdCI6MTY3OTY3NDE0NSwiZXhwIjoxNjc5Njc3NzQ1fQ.G8cciXefORmYvdwrfVAO6DjDy7DUWe6NxyanGg4w7EQBu8Ab7PJAeXhU7HL5w_LtTgiLA3Ew07RRzuNuaFITvs_m9lIolxHOl0BZSyGIGlI9BRiBFQQK2OZ2b8xetWz3B1mezcwlrrQMgbLQI0puuaA6917h_3MjIgZu_bQkjQH3Lwl3kkZWp0W-PRuK20KAQneNFB9ehTvSeRkImIr5QlZU6LMb7M3rI_-gP6ePRryAN9UCGBASzNEYLaQz-eMIdYFw-WmqkesTX1IDLQT0n44BhG9-9mWIA6kNRSBo9FV89VGKvYION9PTDds1vsf5h3smBQZjourR2H5pLJ_MUA', + jwk: { + "e": "AQAB", + "kty": "RSA", + "n": "onb-s1Mvbpti06Sp-ZsHH5eeJxdvMhRgfmx5zK7cVlcAajI_0rKu8ylU2CkfgPlMe9-8W5ayozm1h2yx2ToS7P7qoR1sMINXbKxobu8xy9zOBuFAr3WvEoor6lo0Qp747_4bN1sVU6GBEBEXLjb8vHN-o_yoBv8NSB_yP7XbEaS3U5MJ4V2s5o7LziIIRP9PtzF0m3kWm7DuyEzGvCaW8s9bOiMd3eZyXXyfKjlBB727eBXgwqcV-PttECRw6JCLO-11__lmqfKIj5CBw18Pb4ZrNwBa-XrGXfHSSAJXFkR4LR7Bj24sWzlOcKXN2Ew4h3WDJfxtN_StNSYoagyaFQ" + } +} + +const TWITCH = { + jwt: "eyJhbGciOiJSUzI1NiIsInR5cCI6IkpXVCIsImtpZCI6IjEifQ.eyJhdWQiOiJnanQxZTY2YjJubnk4Yjk5aDQ5N2hteTA2ODNjbzAiLCJleHAiOjE2ODI3NzYyNzYsImlhdCI6MTY4Mjc3NTM3NiwiaXNzIjoiaHR0cHM6Ly9pZC50d2l0Y2gudHYvb2F1dGgyIiwic3ViIjoiOTA0NDQ4NjkyIiwiYXpwIjoiZ2p0MWU2NmIybm55OGI5OWg0OTdobXkwNjgzY28wIiwibm9uY2UiOiIxNjYzNzkxODgxMzkwODA2MDI2MTg3MDUyODkwMzk5NDAzODcyMTY2OTc5OTYxMzgwMzYwMTYxNjY3ODE1NTUxMjE4MTI3MzI4OTQ3NyIsInByZWZlcnJlZF91c2VybmFtZSI6ImpveXF2cSJ9.PfduhP0eLpwkVCmvoqf267uinjRdkEAIVLCnVCJ4wv0QwY7t2JH0_xjbXK1krfR96rBeZQEz_hJ4KSoVnN-NA7ym7AdfjmWviRUbsGdCyrgSygv4qt8h-cdxNk46CXm2k7JvXzHEsgcZmuPpvZz2kTMqYIRatn9BDG_FQQhG7v4anwz0c-NNL8lhmzwxoaMWf-cfS-B9UFtC1WXOIFWnnNHbNP92dBTkyEiA-UM8457pAV5ZTknMph4lSq322AxJGRkTz0XPimrHqcixE26sP6zn4DMySRl1H-ftmst3lhThZCG8kEoRt2LIDMafqBrXWeEadCs4cMpwiDzQRHvtrw", + jwk: { + "alg":"RS256", + "e":"AQAB", + "kid":"1", + "kty":"RSA", + "n":"6lq9MQ-q6hcxr7kOUp-tHlHtdcDsVLwVIw13iXUCvuDOeCi0VSuxCCUY6UmMjy53dX00ih2E4Y4UvlrmmurK0eG26b-HMNNAvCGsVXHU3RcRhVoHDaOwHwU72j7bpHn9XbP3Q3jebX6KIfNbei2MiR0Wyb8RZHE-aZhRYO8_-k9G2GycTpvc-2GBsP8VHLUKKfAs2B6sW3q3ymU6M0L-cFXkZ9fHkn9ejs-sqZPhMJxtBPBxoUIUQFTgv4VXTSv914f_YkNw-EjuwbgwXMvpyr06EyfImxHoxsZkFYB-qBYHtaMxTnFsZBr6fn8Ha2JqT1hoP7Z5r5wxDu3GQhKkHw","use":"sig" + } +} + +module.exports = { + google: GOOGLE_EXTENSION, + google_old: GOOGLE_PLAYGROUND, + facebook: FACEBOOK, + twitch: TWITCH +} \ No newline at end of file From 20b6bc65037c13c119c2d9c9c0f0818ce10ff6ff Mon Sep 17 00:00:00 2001 From: Deepak Maram Date: Fri, 5 May 2023 10:36:33 -0400 Subject: [PATCH 02/32] Minor --- openid-zkp-auth/README.md | 5 +- openid-zkp-auth/js/decideparams.js | 64 ++++++++++++++++++++++ openid-zkp-auth/test/sha256.circom.test.js | 2 +- 3 files changed, 68 insertions(+), 3 deletions(-) create mode 100644 openid-zkp-auth/js/decideparams.js diff --git a/openid-zkp-auth/README.md b/openid-zkp-auth/README.md index 9f5a0c1e5c..6702692913 100644 --- a/openid-zkp-auth/README.md +++ b/openid-zkp-auth/README.md @@ -17,7 +17,8 @@ circuits/ zkhasher.circom js/ circuitutils.js # Circuit utilities - constants.js + constants.js # Circuit params + decideparams.js # A script to decide circuit params based on real JWTs jwtutils.js # JWT utilities prove.js # Helper script to run the ZKP using a given zkey, vkey, JWT utils.js # Generic utilities @@ -47,4 +48,4 @@ The above steps can be repeated with `twitch` except you'd need to run ``npm run ## Tests -``npm run test`` \ No newline at end of file +``npm test`` \ No newline at end of file diff --git a/openid-zkp-auth/js/decideparams.js b/openid-zkp-auth/js/decideparams.js new file mode 100644 index 0000000000..88229b4b8e --- /dev/null +++ b/openid-zkp-auth/js/decideparams.js @@ -0,0 +1,64 @@ +const jwtutils = require("./jwtutils"); + +const GOOGLE = require("../testvectors").google; +const TWITCH = require("../testvectors").twitch; +const BUFFER1 = 0.15; // 15 percent +const BUFFER2 = 0.15; // 15 percent + +// JWT header + JWT payload + SHA2 padding +function computeNumSHA2Blocks(jwt) { + const header = jwt.split('.')[0]; + const payload = jwt.split('.')[1]; + + const jwtMaxLen = header.length + payload.length; + + const L = jwtMaxLen * 8; + const K = (512 + 448 - (L % 512 + 1)) % 512; + + const paddingLen = 1 + K + 64; + + if ((L + paddingLen) % 512 !== 0) { + throw new Error("Shouldn't happen... Invalid implementation"); + } + + return (L + paddingLen) / 512; +} + +function computeSubLen(jwt) { + const payload = Buffer.from(jwt.split('.')[1], 'base64url').toString(); + return jwtutils.getClaimString(payload, "sub").length; +} + +function computeAudLen(jwt) { + const payload = Buffer.from(jwt.split('.')[1], 'base64url').toString(); + return jwtutils.getClaimString(payload, "aud").length; +} + +function decide(jwt, buffer1, buffer2) { + const p1 = computeNumSHA2Blocks(jwt); + // TODO: Move from floor to ceil? + const maxSHA2Blocks = Math.floor(p1 * (1 + buffer1)); + console.log(`SHA2 blocks: ${p1}, Max SHA2 blocks: ${maxSHA2Blocks}`); + + const p2 = computeSubLen(jwt); + var maxSubLen = Math.floor(p2 * (1 + buffer2)); + + // Round maxSubLen to the nearest multiple of 3 + maxSubLen = Math.ceil(maxSubLen / 3) * 3; + console.log(`Sub length: ${p2}, Max sub length: ${maxSubLen}`); + + const p3 = computeAudLen(jwt); + var maxAudLen = Math.floor(p3 * (1 + buffer2)); + + // Round maxAudLen to the nearest multiple of 3 + maxAudLen = Math.ceil(maxAudLen / 3) * 3; + console.log(`Aud length: ${p3}, Max aud length: ${maxAudLen}`); +} + +if (require.main === module) { + console.log("GOOGLE"); + decide(GOOGLE.jwt, BUFFER1, BUFFER2); + + console.log("TWITCH"); + decide(TWITCH.jwt, BUFFER1, BUFFER2); +} \ No newline at end of file diff --git a/openid-zkp-auth/test/sha256.circom.test.js b/openid-zkp-auth/test/sha256.circom.test.js index b0933242ca..c5f252b001 100644 --- a/openid-zkp-auth/test/sha256.circom.test.js +++ b/openid-zkp-auth/test/sha256.circom.test.js @@ -13,7 +13,7 @@ const { inWidth } = require("../js/constants"); describe("Unsafe SHA256", () => { const nBlocks = 4; - const nWidth = 8; + const nWidth = inWidth; const nCount = nBlocks * 512 / nWidth; const outWidth = 128; From cf0a323d393ae919a0af62229558261d3d4d2d5c Mon Sep 17 00:00:00 2001 From: Deepak Maram Date: Fri, 5 May 2023 12:45:07 -0400 Subject: [PATCH 03/32] Add browser bench --- openid-zkp-auth/README.md | 18 +- openid-zkp-auth/bench/google_inputs.json | 1594 ++++++++++++++++++++++ openid-zkp-auth/bench/index.html | 15 + openid-zkp-auth/bench/prover.js | 35 + openid-zkp-auth/bench/snarkjs.min.js | 9 + openid-zkp-auth/bench/twitch_inputs.json | 1067 +++++++++++++++ 6 files changed, 2737 insertions(+), 1 deletion(-) create mode 100644 openid-zkp-auth/bench/google_inputs.json create mode 100644 openid-zkp-auth/bench/index.html create mode 100644 openid-zkp-auth/bench/prover.js create mode 100644 openid-zkp-auth/bench/snarkjs.min.js create mode 100644 openid-zkp-auth/bench/twitch_inputs.json diff --git a/openid-zkp-auth/README.md b/openid-zkp-auth/README.md index 6702692913..dfc026d0e0 100644 --- a/openid-zkp-auth/README.md +++ b/openid-zkp-auth/README.md @@ -5,6 +5,12 @@ Install via `npm install` ## Filetree Description ```bash +bench/ + index.html + prover.js + google_inputs.json # Sample inputs for the Google circuit + twitch_inputs.json # Sample inputs for the Twitch circuit + snarkjs.min.js circuits/ google.circom # Runner with Google's params jwt_proof_ua.circom # Starting file for circuit code @@ -48,4 +54,14 @@ The above steps can be repeated with `twitch` except you'd need to run ``npm run ## Tests -``npm test`` \ No newline at end of file +``npm test`` + +## Benchmarks + +Install your favorite http-server and start it from `openid-zkp-auth`. + +For example, do `npm install -g http-server` and run `http-server`. + +Open `bench/index.html` in a browser and click on Google / Twitch buttons to start respective benchmarks. The timings are displayed in the console. + +Note: These benchmarks assume that the zkey and wasm files are in the respective folders. \ No newline at end of file diff --git a/openid-zkp-auth/bench/google_inputs.json b/openid-zkp-auth/bench/google_inputs.json new file mode 100644 index 0000000000..1885ef8450 --- /dev/null +++ b/openid-zkp-auth/bench/google_inputs.json @@ -0,0 +1,1594 @@ +{ + "content": [ + "101", + "121", + "74", + "104", + "98", + "71", + "99", + "105", + "79", + "105", + "74", + "83", + "85", + "122", + "73", + "49", + "78", + "105", + "73", + "115", + "73", + "109", + "116", + "112", + "90", + "67", + "73", + "54", + "73", + "106", + "107", + "50", + "79", + "84", + "99", + "120", + "79", + "68", + "65", + "52", + "78", + "122", + "107", + "50", + "79", + "68", + "73", + "53", + "89", + "84", + "107", + "51", + "77", + "109", + "85", + "51", + "79", + "87", + "69", + "53", + "90", + "68", + "70", + "104", + "79", + "87", + "90", + "109", + "90", + "106", + "69", + 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"134696963602902907403122104327765350261" + ], + "max_epoch": 10000, + "randomness": "50683480294434968413708503290439057629605340925620961559740848568164438166", + "all_inputs_hash": "17366517484028677819623736715870573154242034724207579163873651625032494439081" +} \ No newline at end of file diff --git a/openid-zkp-auth/bench/index.html b/openid-zkp-auth/bench/index.html new file mode 100644 index 0000000000..c0415b8f12 --- /dev/null +++ b/openid-zkp-auth/bench/index.html @@ -0,0 +1,15 @@ + + + + + Benchmarking + + +
+ + +
+ + + + diff --git a/openid-zkp-auth/bench/prover.js b/openid-zkp-auth/bench/prover.js new file mode 100644 index 0000000000..9ad96c15c7 --- /dev/null +++ b/openid-zkp-auth/bench/prover.js @@ -0,0 +1,35 @@ +const prove = async (inputsFile, wasmFile, zKeyFile) => { + console.log("Proving..."); + console.time("fullProve"); + + const inputs = await fetch(inputsFile).then( function(res) { + return res.json(); + }); + + const fullProof = await snarkjs.groth16.fullProve( + inputs, + wasmFile, + zKeyFile + ); + + console.log({ fullProof }); + console.timeEnd("fullProve"); +}; + +const verify = async (provider) => { + if (provider === "google") { + await prove( + "./google_inputs.json", + "../google/google_js/google.wasm", + "../google/google.zkey" + ); + } else if (provider === "twitch") { + await prove( + "./twitch_inputs.json", + "../twitch/twitch_js/twitch.wasm", + "../twitch/twitch.zkey" + ); + } else { + console.log("Invalid provider"); + } +}; \ No newline at end of file diff --git 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e}let wt=null;function bt(){return wt||(wt=new ht(function(){const t=Lt(32),e=new Uint32Array(t.buffer),a=[];for(let t=0;t<8;t++)a.push(e[t]);return a}()),wt)}class yt{constructor(t,e,a){this.F=e,this.G=t,this.opMulGF=a;let i=e.sqrt_t||e.t,o=e.sqrt_s||e.s,n=e.one;for(;e.eq(e.pow(n,e.half),e.one);)n=e.add(n,e.one);this.w=new Array(o+1),this.wi=new Array(o+1),this.w[o]=this.F.pow(n,i),this.wi[o]=this.F.inv(this.w[o]);let r=o-1;for(;r>=0;)this.w[r]=this.F.square(this.w[r+1]),this.wi[r]=this.F.square(this.wi[r+1]),r--;this.roots=[],this._setRoots(Math.min(o,15))}_setRoots(t){for(let e=t;e>=0&&!this.roots[e];e--){let t=this.F.one;const a=1<>1,s=It(t,e,a-1,i,2*o),l=It(t,e,a-1,i+o,2*o),c=new Array(n);for(let e=0;e>this.one,this.bitLength=P(this.p),this.mask=(this.one<>this.one;this.nqr=this.two;let a=this.pow(this.nqr,e);for(;!this.eq(a,this.negone);)this.nqr=this.nqr+this.one,a=this.pow(this.nqr,e);for(this.s=0,this.t=this.negone;(this.t&this.one)==this.zero;)this.s=this.s+1,this.t=this.t>>this.one;this.nqr_to_t=this.pow(this.nqr,this.t),_t(this),this.FFT=new yt(this,this,this.mul.bind(this)),this.fft=this.FFT.fft.bind(this.FFT),this.ifft=this.FFT.ifft.bind(this.FFT),this.w=this.FFT.w,this.wi=this.FFT.wi,this.shift=this.square(this.nqr),this.k=this.exp(this.nqr,2**this.s)}e(t,e){let a;if(e?16==e&&(a=BigInt("0x"+t)):a=BigInt(t),a<0){let t=-a;return t>=this.p&&(t%=this.p),this.p-t}return a>=this.p?a%this.p:a}add(t,e){const a=t+e;return a>=this.p?a-this.p:a}sub(t,e){return t>=e?t-e:this.p-e+t}neg(t){return t?this.p-t:t}mul(t,e){return t*e%this.p}mulScalar(t,e){return t*this.e(e)%this.p}square(t){return t*t%this.p}eq(t,e){return t==e}neq(t,e){return t!=e}lt(t,e){return(t>this.half?t-this.p:t)<(e>this.half?e-this.p:e)}gt(t,e){return(t>this.half?t-this.p:t)>(e>this.half?e-this.p:e)}leq(t,e){return(t>this.half?t-this.p:t)<=(e>this.half?e-this.p:e)}geq(t,e){return(t>this.half?t-this.p:t)>=(e>this.half?e-this.p:e)}div(t,e){return this.mul(t,this.inv(e))}idiv(t,e){if(!e)throw new Error("Division by zero");return t/e}inv(t){if(!t)throw new Error("Division by zero");let e=this.zero,a=this.p,i=this.one,o=t%this.p;for(;o;){let t=a/o;[e,i]=[i,e-t*i],[a,o]=[o,a-t*o]}return e=this.p?a-this.p:a}bor(t,e){const a=(t|e)&this.mask;return a>=this.p?a-this.p:a}bxor(t,e){const a=(t^e)&this.mask;return a>=this.p?a-this.p:a}bnot(t){const e=t^this.mask;return e>=this.p?e-this.p:e}shl(t,e){if(Number(e)=this.p?a-this.p:a}{const a=this.p-e;return Number(a)>a:this.zero}}shr(t,e){if(Number(e)>e;{const a=this.p-e;if(Number(a)=this.p?e-this.p:e}return 0}}land(t,e){return t&&e?this.one:this.zero}lor(t,e){return t||e?this.one:this.zero}lnot(t){return t?this.zero:this.one}sqrt_old(t){if(t==this.zero)return this.zero;if(this.pow(t,this.negone>>this.one)!=this.one)return null;let e=this.s,a=this.nqr_to_t,i=this.pow(t,this.t),o=this.pow(t,this.add(this.t,this.one)>>this.one);for(;i!=this.one;){let t=this.square(i),n=1;for(;t!=this.one;)n++,t=this.square(t);let r=a;for(let t=0;tthis.p>>this.one&&(o=this.neg(o)),o}normalize(t,e){if((t=BigInt(t,e))<0){let e=-t;return e>=this.p&&(e%=this.p),this.p-e}return t>=this.p?t%this.p:t}random(){const t=2*this.bitLength/8;let e=this.zero;for(let a=0;athis.half&&10==e){a="-"+(this.p-t).toString(e)}else a=t.toString(e);return a}isZero(t){return t==this.zero}fromRng(t){let e;do{e=this.zero;for(let a=0;a=this.p);return e=e*this.Ri%this.p,e}fft(t){return this.FFT.fft(t)}ifft(t){return this.FFT.ifft(t)}}class Ft{constructor(t){this.type="F1",this.one=u.one,this.zero=u.zero,this.p=u(t),this.m=1,this.negone=this.p.minus(u.one),this.two=u(2),this.half=this.p.shiftRight(1),this.bitLength=this.p.bitLength(),this.mask=u.one.shiftLeft(this.bitLength).minus(u.one),this.n64=Math.floor((this.bitLength-1)/64)+1,this.n32=2*this.n64,this.n8=8*this.n64,this.R=u.one.shiftLeft(64*this.n64),this.Ri=this.inv(this.R);const e=this.negone.shiftRight(this.one);this.nqr=this.two;let a=this.pow(this.nqr,e);for(;!a.equals(this.negone);)this.nqr=this.nqr.add(this.one),a=this.pow(this.nqr,e);for(this.s=this.zero,this.t=this.negone;!this.t.isOdd();)this.s=this.s.add(this.one),this.t=this.t.shiftRight(this.one);this.nqr_to_t=this.pow(this.nqr,this.t),_t(this),this.FFT=new Ct(this,this,this.mul.bind(this)),this.fft=this.FFT.fft.bind(this.FFT),this.ifft=this.FFT.ifft.bind(this.FFT),this.w=this.FFT.w,this.wi=this.FFT.wi,this.shift=this.square(this.nqr),this.k=this.exp(this.nqr,2**this.s)}e(t,e){const a=u(t,e);return this.normalize(a)}add(t,e){let a=t.add(e);return a.geq(this.p)&&(a=a.minus(this.p)),a}sub(t,e){return t.geq(e)?t.minus(e):this.p.minus(e.minus(t))}neg(t){return t.isZero()?t:this.p.minus(t)}mul(t,e){return t.times(e).mod(this.p)}mulScalar(t,e){return t.times(u(e)).mod(this.p)}square(t){return t.square().mod(this.p)}eq(t,e){return t.eq(e)}neq(t,e){return t.neq(e)}lt(t,e){const a=t.gt(this.half)?t.minus(this.p):t,i=e.gt(this.half)?e.minus(this.p):e;return a.lt(i)}gt(t,e){const a=t.gt(this.half)?t.minus(this.p):t,i=e.gt(this.half)?e.minus(this.p):e;return a.gt(i)}leq(t,e){const a=t.gt(this.half)?t.minus(this.p):t,i=e.gt(this.half)?e.minus(this.p):e;return a.leq(i)}geq(t,e){const a=t.gt(this.half)?t.minus(this.p):t,i=e.gt(this.half)?e.minus(this.p):e;return a.geq(i)}div(t,e){if(e.isZero())throw new Error("Division by zero");return t.times(e.modInv(this.p)).mod(this.p)}idiv(t,e){if(e.isZero())throw new Error("Division by zero");return t.divide(e)}inv(t){if(t.isZero())throw new Error("Division by zero");return t.modInv(this.p)}mod(t,e){return t.mod(e)}pow(t,e){return t.modPow(e,this.p)}exp(t,e){return t.modPow(e,this.p)}band(t,e){return t.and(e).and(this.mask).mod(this.p)}bor(t,e){return t.or(e).and(this.mask).mod(this.p)}bxor(t,e){return t.xor(e).and(this.mask).mod(this.p)}bnot(t){return t.xor(this.mask).mod(this.p)}shl(t,e){if(e.lt(this.bitLength))return t.shiftLeft(e).and(this.mask).mod(this.p);{const a=this.p.minus(e);return a.lt(this.bitLength)?this.shr(t,a):u.zero}}shr(t,e){if(e.lt(this.bitLength))return t.shiftRight(e);{const a=this.p.minus(e);return a.lt(this.bitLength)?this.shl(t,a):u.zero}}land(t,e){return t.isZero()||e.isZero()?u.zero:u.one}lor(t,e){return t.isZero()&&e.isZero()?u.zero:u.one}lnot(t){return t.isZero()?u.one:u.zero}sqrt_old(t){if(t.equals(this.zero))return this.zero;if(!this.pow(t,this.negone.shiftRight(this.one)).equals(this.one))return null;let e=parseInt(this.s),a=this.nqr_to_t,i=this.pow(t,this.t),o=this.pow(t,this.add(this.t,this.one).shiftRight(this.one));for(;!i.equals(this.one);){let t=this.square(i),n=1;for(;!t.equals(this.one);)n++,t=this.square(t);let r=a;for(let t=0;t>e)),[...l.setLocal("b",l.i32_sub(l.getLocal("b"),l.i32_const(128>>e))),...l.call(i,l.getLocal("r"),c,l.getLocal("r"))]));return t}(),l.br_if(1,l.i32_eqz(l.getLocal("i"))),l.br(0))))},Ut=function(t,e){const a=8*t.modules[e].n64,i=t.addFunction(e+"_batchInverse");i.addParam("pIn","i32"),i.addParam("inStep","i32"),i.addParam("n","i32"),i.addParam("pOut","i32"),i.addParam("outStep","i32"),i.addLocal("itAux","i32"),i.addLocal("itIn","i32"),i.addLocal("itOut","i32"),i.addLocal("i","i32");const o=i.getCodeBuilder(),n=o.i32_const(t.alloc(a));i.addCode(o.setLocal("itAux",o.i32_load(o.i32_const(0))),o.i32_store(o.i32_const(0),o.i32_add(o.getLocal("itAux"),o.i32_mul(o.i32_add(o.getLocal("n"),o.i32_const(1)),o.i32_const(a))))),i.addCode(o.call(e+"_one",o.getLocal("itAux")),o.setLocal("itIn",o.getLocal("pIn")),o.setLocal("itAux",o.i32_add(o.getLocal("itAux"),o.i32_const(a))),o.setLocal("i",o.i32_const(0)),o.block(o.loop(o.br_if(1,o.i32_eq(o.getLocal("i"),o.getLocal("n"))),o.if(o.call(e+"_isZero",o.getLocal("itIn")),o.call(e+"_copy",o.i32_sub(o.getLocal("itAux"),o.i32_const(a)),o.getLocal("itAux")),o.call(e+"_mul",o.getLocal("itIn"),o.i32_sub(o.getLocal("itAux"),o.i32_const(a)),o.getLocal("itAux"))),o.setLocal("itIn",o.i32_add(o.getLocal("itIn"),o.getLocal("inStep"))),o.setLocal("itAux",o.i32_add(o.getLocal("itAux"),o.i32_const(a))),o.setLocal("i",o.i32_add(o.getLocal("i"),o.i32_const(1))),o.br(0))),o.setLocal("itIn",o.i32_sub(o.getLocal("itIn"),o.getLocal("inStep"))),o.setLocal("itAux",o.i32_sub(o.getLocal("itAux"),o.i32_const(a))),o.setLocal("itOut",o.i32_add(o.getLocal("pOut"),o.i32_mul(o.i32_sub(o.getLocal("n"),o.i32_const(1)),o.getLocal("outStep")))),o.call(e+"_inverse",o.getLocal("itAux"),o.getLocal("itAux")),o.block(o.loop(o.br_if(1,o.i32_eqz(o.getLocal("i"))),o.if(o.call(e+"_isZero",o.getLocal("itIn")),[...o.call(e+"_copy",o.getLocal("itAux"),o.i32_sub(o.getLocal("itAux"),o.i32_const(a))),...o.call(e+"_zero",o.getLocal("itOut"))],[...o.call(e+"_copy",o.i32_sub(o.getLocal("itAux"),o.i32_const(a)),n),...o.call(e+"_mul",o.getLocal("itAux"),o.getLocal("itIn"),o.i32_sub(o.getLocal("itAux"),o.i32_const(a))),...o.call(e+"_mul",o.getLocal("itAux"),n,o.getLocal("itOut"))]),o.setLocal("itIn",o.i32_sub(o.getLocal("itIn"),o.getLocal("inStep"))),o.setLocal("itOut",o.i32_sub(o.getLocal("itOut"),o.getLocal("outStep"))),o.setLocal("itAux",o.i32_sub(o.getLocal("itAux"),o.i32_const(a))),o.setLocal("i",o.i32_sub(o.getLocal("i"),o.i32_const(1))),o.br(0)))),i.addCode(o.i32_store(o.i32_const(0),o.getLocal("itAux")))};var zt=function(t,e,a,i,o,n){void 0===n&&(n=i>1&&i>1,t>>1)))),e.addCode(a.setLocal(l,a.i64_add(a.getLocal(l),a.i64_shr_u(a.getLocal(s),a.i64_const(32)))))),t>0&&(e.addCode(a.setLocal(s,a.i64_add(a.i64_and(a.getLocal(s),a.i64_const(4294967295)),a.i64_and(a.getLocal(c),a.i64_const(4294967295))))),e.addCode(a.setLocal(l,a.i64_add(a.i64_add(a.getLocal(l),a.i64_shr_u(a.getLocal(s),a.i64_const(32))),a.getLocal(d))))),e.addCode(a.i64_store32(a.getLocal("r"),4*t,a.getLocal(s))),e.addCode(a.setLocal(c,a.getLocal(l)),a.setLocal(d,a.i64_shr_u(a.getLocal(c),a.i64_const(32))))}e.addCode(a.i64_store32(a.getLocal("r"),4*o*2-4,a.getLocal(c)))}(),function(){const e=t.addFunction(i+"_squareOld");e.addParam("x","i32"),e.addParam("r","i32");const a=e.getCodeBuilder();e.addCode(a.call(i+"_mul",a.getLocal("x"),a.getLocal("x"),a.getLocal("r")))}(),function(){!function(){const e=t.addFunction(i+"__mul1");e.addParam("px","i32"),e.addParam("y","i64"),e.addParam("pr","i32"),e.addLocal("c","i64");const a=e.getCodeBuilder();e.addCode(a.setLocal("c",a.i64_mul(a.i64_load32_u(a.getLocal("px"),0,0),a.getLocal("y")))),e.addCode(a.i64_store32(a.getLocal("pr"),0,0,a.getLocal("c")));for(let t=1;t=r&&e.addCode(a.i64_store32(a.getLocal("r"),4*(t-r),a.getLocal(_))),[_,p]=[p,_],e.addCode(a.setLocal(p,a.i64_shr_u(a.getLocal(_),a.i64_const(32))))}e.addCode(a.i64_store32(a.getLocal("r"),4*r-4,a.getLocal(_))),e.addCode(a.if(a.i32_wrap_i64(a.getLocal(p)),a.drop(a.call(c+"_sub",a.getLocal("r"),a.i32_const(d),a.getLocal("r"))),a.if(a.call(c+"_gte",a.getLocal("r"),a.i32_const(d)),a.drop(a.call(c+"_sub",a.getLocal("r"),a.i32_const(d),a.getLocal("r"))))))}(),function(){const e=t.addFunction(l+"_square");e.addParam("x","i32"),e.addParam("r","i32"),e.addLocal("c0","i64"),e.addLocal("c1","i64"),e.addLocal("c0_old","i64"),e.addLocal("c1_old","i64"),e.addLocal("np32","i64");for(let t=0;t>1&&i>1,t>>1)))),e.addCode(a.setLocal(_,a.i64_add(a.getLocal(_),a.i64_shr_u(a.getLocal(f),a.i64_const(32)))))),t>0&&(e.addCode(a.setLocal(f,a.i64_add(a.i64_and(a.getLocal(f),a.i64_const(4294967295)),a.i64_and(a.getLocal(p),a.i64_const(4294967295))))),e.addCode(a.setLocal(_,a.i64_add(a.i64_add(a.getLocal(_),a.i64_shr_u(a.getLocal(f),a.i64_const(32))),a.getLocal(h)))));for(let i=Math.max(1,t-r+1);i<=t&&i=r&&e.addCode(a.i64_store32(a.getLocal("r"),4*(t-r),a.getLocal(f))),e.addCode(a.setLocal(p,a.getLocal(_)),a.setLocal(h,a.i64_shr_u(a.getLocal(p),a.i64_const(32))))}e.addCode(a.i64_store32(a.getLocal("r"),4*r-4,a.getLocal(p))),e.addCode(a.if(a.i32_wrap_i64(a.getLocal(h)),a.drop(a.call(c+"_sub",a.getLocal("r"),a.i32_const(d),a.getLocal("r"))),a.if(a.call(c+"_gte",a.getLocal("r"),a.i32_const(d)),a.drop(a.call(c+"_sub",a.getLocal("r"),a.i32_const(d),a.getLocal("r"))))))}(),function(){const e=t.addFunction(l+"_squareOld");e.addParam("x","i32"),e.addParam("r","i32");const a=e.getCodeBuilder();e.addCode(a.call(l+"_mul",a.getLocal("x"),a.getLocal("x"),a.getLocal("r")))}(),function(){const e=t.addFunction(l+"_toMontgomery");e.addParam("x","i32"),e.addParam("r","i32");const a=e.getCodeBuilder();e.addCode(a.call(l+"_mul",a.getLocal("x"),a.i32_const(u),a.getLocal("r")))}(),function(){const e=t.alloc(2*s),a=t.addFunction(l+"_fromMontgomery");a.addParam("x","i32"),a.addParam("r","i32");const i=a.getCodeBuilder();a.addCode(i.call(c+"_copy",i.getLocal("x"),i.i32_const(e))),a.addCode(i.call(c+"_zero",i.i32_const(e+s))),a.addCode(i.call(l+"_mReduct",i.i32_const(e),i.getLocal("r")))}(),function(){const e=t.addFunction(l+"_isNegative");e.addParam("x","i32"),e.setReturnType("i32");const a=e.getCodeBuilder(),i=a.i32_const(t.alloc(s));e.addCode(a.call(l+"_fromMontgomery",a.getLocal("x"),i),a.call(c+"_gte",i,a.i32_const(L)))}(),function(){const e=t.addFunction(l+"_sign");e.addParam("x","i32"),e.setReturnType("i32");const a=e.getCodeBuilder(),i=a.i32_const(t.alloc(s));e.addCode(a.if(a.call(c+"_isZero",a.getLocal("x")),a.ret(a.i32_const(0))),a.call(l+"_fromMontgomery",a.getLocal("x"),i),a.if(a.call(c+"_gte",i,a.i32_const(L)),a.ret(a.i32_const(-1))),a.ret(a.i32_const(1)))}(),function(){const e=t.addFunction(l+"_inverse");e.addParam("x","i32"),e.addParam("r","i32");const a=e.getCodeBuilder();e.addCode(a.call(l+"_fromMontgomery",a.getLocal("x"),a.getLocal("r"))),e.addCode(a.call(c+"_inverseMod",a.getLocal("r"),a.i32_const(d),a.getLocal("r"))),e.addCode(a.call(l+"_toMontgomery",a.getLocal("r"),a.getLocal("r")))}(),function(){const e=t.addFunction(l+"_one");e.addParam("pr","i32");const a=e.getCodeBuilder();e.addCode(a.call(c+"_copy",a.i32_const(g),a.getLocal("pr")))}(),function(){const e=t.addFunction(l+"_load");e.addParam("scalar","i32"),e.addParam("scalarLen","i32"),e.addParam("r","i32"),e.addLocal("p","i32"),e.addLocal("l","i32"),e.addLocal("i","i32"),e.addLocal("j","i32");const a=e.getCodeBuilder(),i=a.i32_const(t.alloc(s)),o=t.alloc(s),n=a.i32_const(o);e.addCode(a.call(c+"_zero",a.getLocal("r")),a.setLocal("i",a.i32_const(s)),a.setLocal("p",a.getLocal("scalar")),a.block(a.loop(a.br_if(1,a.i32_gt_u(a.getLocal("i"),a.getLocal("scalarLen"))),a.if(a.i32_eq(a.getLocal("i"),a.i32_const(s)),a.call(l+"_one",i),a.call(l+"_mul",i,a.i32_const(u),i)),a.call(l+"_mul",a.getLocal("p"),i,n),a.call(l+"_add",a.getLocal("r"),n,a.getLocal("r")),a.setLocal("p",a.i32_add(a.getLocal("p"),a.i32_const(s))),a.setLocal("i",a.i32_add(a.getLocal("i"),a.i32_const(s))),a.br(0))),a.setLocal("l",a.i32_rem_u(a.getLocal("scalarLen"),a.i32_const(s))),a.if(a.i32_eqz(a.getLocal("l")),a.ret([])),a.call(c+"_zero",n),a.setLocal("j",a.i32_const(0)),a.block(a.loop(a.br_if(1,a.i32_eq(a.getLocal("j"),a.getLocal("l"))),a.i32_store8(a.getLocal("j"),o,a.i32_load8_u(a.getLocal("p"))),a.setLocal("p",a.i32_add(a.getLocal("p"),a.i32_const(1))),a.setLocal("j",a.i32_add(a.getLocal("j"),a.i32_const(1))),a.br(0))),a.if(a.i32_eq(a.getLocal("i"),a.i32_const(s)),a.call(l+"_one",i),a.call(l+"_mul",i,a.i32_const(u),i)),a.call(l+"_mul",n,i,n),a.call(l+"_add",a.getLocal("r"),n,a.getLocal("r")))}(),function(){const e=t.addFunction(l+"_timesScalar");e.addParam("x","i32"),e.addParam("scalar","i32"),e.addParam("scalarLen","i32"),e.addParam("r","i32");const a=e.getCodeBuilder(),i=a.i32_const(t.alloc(s));e.addCode(a.call(l+"_load",a.getLocal("scalar"),a.getLocal("scalarLen"),i),a.call(l+"_toMontgomery",i,i),a.call(l+"_mul",a.getLocal("x"),i,a.getLocal("r")))}(),Rt(t,l),Nt(t,l+"_batchToMontgomery",l+"_toMontgomery",s,s),Nt(t,l+"_batchFromMontgomery",l+"_fromMontgomery",s,s),Nt(t,l+"_batchNeg",l+"_neg",s,s),Dt(t,l+"_batchAdd",l+"_add",s,s),Dt(t,l+"_batchSub",l+"_sub",s,s),Dt(t,l+"_batchMul",l+"_mul",s,s),t.exportFunction(l+"_add"),t.exportFunction(l+"_sub"),t.exportFunction(l+"_neg"),t.exportFunction(l+"_isNegative"),t.exportFunction(l+"_isOne"),t.exportFunction(l+"_sign"),t.exportFunction(l+"_mReduct"),t.exportFunction(l+"_mul"),t.exportFunction(l+"_square"),t.exportFunction(l+"_squareOld"),t.exportFunction(l+"_fromMontgomery"),t.exportFunction(l+"_toMontgomery"),t.exportFunction(l+"_inverse"),t.exportFunction(l+"_one"),t.exportFunction(l+"_load"),t.exportFunction(l+"_timesScalar"),kt(t,l+"_exp",s,l+"_mul",l+"_square",c+"_copy",l+"_one"),t.exportFunction(l+"_exp"),t.exportFunction(l+"_batchInverse"),o.isPrime()&&(!function(){const e=t.addFunction(l+"_sqrt");e.addParam("n","i32"),e.addParam("r","i32"),e.addLocal("m","i32"),e.addLocal("i","i32"),e.addLocal("j","i32");const a=e.getCodeBuilder(),i=a.i32_const(g),o=a.i32_const(t.alloc(s)),n=a.i32_const(t.alloc(s)),r=a.i32_const(t.alloc(s)),c=a.i32_const(t.alloc(s)),d=a.i32_const(t.alloc(s));e.addCode(a.if(a.call(l+"_isZero",a.getLocal("n")),a.ret(a.call(l+"_zero",a.getLocal("r")))),a.setLocal("m",a.i32_const(b)),a.call(l+"_copy",a.i32_const(C),o),a.call(l+"_exp",a.getLocal("n"),a.i32_const(A),a.i32_const(s),n),a.call(l+"_exp",a.getLocal("n"),a.i32_const(F),a.i32_const(s),r),a.block(a.loop(a.br_if(1,a.call(l+"_eq",n,i)),a.call(l+"_square",n,c),a.setLocal("i",a.i32_const(1)),a.block(a.loop(a.br_if(1,a.call(l+"_eq",c,i)),a.call(l+"_square",c,c),a.setLocal("i",a.i32_add(a.getLocal("i"),a.i32_const(1))),a.br(0))),a.call(l+"_copy",o,d),a.setLocal("j",a.i32_sub(a.i32_sub(a.getLocal("m"),a.getLocal("i")),a.i32_const(1))),a.block(a.loop(a.br_if(1,a.i32_eqz(a.getLocal("j"))),a.call(l+"_square",d,d),a.setLocal("j",a.i32_sub(a.getLocal("j"),a.i32_const(1))),a.br(0))),a.setLocal("m",a.getLocal("i")),a.call(l+"_square",d,o),a.call(l+"_mul",n,o,n),a.call(l+"_mul",r,d,r),a.br(0))),a.if(a.call(l+"_isNegative",r),a.call(l+"_neg",r,a.getLocal("r")),a.call(l+"_copy",r,a.getLocal("r"))))}(),function(){const e=t.addFunction(l+"_isSquare");e.addParam("n","i32"),e.setReturnType("i32");const a=e.getCodeBuilder(),i=a.i32_const(g),o=a.i32_const(t.alloc(s));e.addCode(a.if(a.call(l+"_isZero",a.getLocal("n")),a.ret(a.i32_const(1))),a.call(l+"_exp",a.getLocal("n"),a.i32_const(h),a.i32_const(s),o),a.call(l+"_eq",o,i))}(),t.exportFunction(l+"_sqrt"),t.exportFunction(l+"_isSquare")),t.exportFunction(l+"_batchToMontgomery"),t.exportFunction(l+"_batchFromMontgomery"),l};const jt=d.exports,Kt=Vt;var Ht=function(t,e,a,i,o){const n=jt(e),r=Math.floor((n.minus(1).bitLength()-1)/64)+1,s=8*r,l=a||"f1";if(t.modules[l])return l;t.modules[l]={n64:r};const c=o||"int",d=Kt(t,n,i,c),u=t.modules[d].pR2,g=t.modules[d].pq,f=t.modules[d].pePlusOne;return function(){const e=t.alloc(s),a=t.addFunction(l+"_mul");a.addParam("x","i32"),a.addParam("y","i32"),a.addParam("r","i32");const i=a.getCodeBuilder();a.addCode(i.call(d+"_mul",i.getLocal("x"),i.getLocal("y"),i.i32_const(e))),a.addCode(i.call(d+"_mul",i.i32_const(e),i.i32_const(u),i.getLocal("r")))}(),function(){const e=t.addFunction(l+"_square");e.addParam("x","i32"),e.addParam("r","i32");const a=e.getCodeBuilder();e.addCode(a.call(l+"_mul",a.getLocal("x"),a.getLocal("x"),a.getLocal("r")))}(),function(){const e=t.addFunction(l+"_inverse");e.addParam("x","i32"),e.addParam("r","i32");const a=e.getCodeBuilder();e.addCode(a.call(c+"_inverseMod",a.getLocal("x"),a.i32_const(g),a.getLocal("r")))}(),function(){const e=t.addFunction(l+"_isNegative");e.addParam("x","i32"),e.setReturnType("i32");const a=e.getCodeBuilder();e.addCode(a.call(c+"_gte",a.getLocal("x"),a.i32_const(f)))}(),t.exportFunction(d+"_add",l+"_add"),t.exportFunction(d+"_sub",l+"_sub"),t.exportFunction(d+"_neg",l+"_neg"),t.exportFunction(l+"_mul"),t.exportFunction(l+"_square"),t.exportFunction(l+"_inverse"),t.exportFunction(l+"_isNegative"),t.exportFunction(d+"_copy",l+"_copy"),t.exportFunction(d+"_zero",l+"_zero"),t.exportFunction(d+"_one",l+"_one"),t.exportFunction(d+"_isZero",l+"_isZero"),t.exportFunction(d+"_eq",l+"_eq"),l};const $t=Ot,Zt=Ut,Jt=d.exports,Yt=St;var Wt=function(t,e,a,i){if(t.modules[a])return a;const o=8*t.modules[i].n64,n=t.modules[i].q;return t.modules[a]={n64:2*t.modules[i].n64},function(){const e=t.addFunction(a+"_isZero");e.addParam("x","i32"),e.setReturnType("i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o));e.addCode(n.i32_and(n.call(i+"_isZero",r),n.call(i+"_isZero",s)))}(),function(){const e=t.addFunction(a+"_isOne");e.addParam("x","i32"),e.setReturnType("i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o));e.addCode(n.ret(n.i32_and(n.call(i+"_isOne",r),n.call(i+"_isZero",s))))}(),function(){const e=t.addFunction(a+"_zero");e.addParam("x","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o));e.addCode(n.call(i+"_zero",r),n.call(i+"_zero",s))}(),function(){const e=t.addFunction(a+"_one");e.addParam("x","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o));e.addCode(n.call(i+"_one",r),n.call(i+"_zero",s))}(),function(){const e=t.addFunction(a+"_copy");e.addParam("x","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("r"),c=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_copy",r,l),n.call(i+"_copy",s,c))}(),function(){const n=t.addFunction(a+"_mul");n.addParam("x","i32"),n.addParam("y","i32"),n.addParam("r","i32");const r=n.getCodeBuilder(),s=r.getLocal("x"),l=r.i32_add(r.getLocal("x"),r.i32_const(o)),c=r.getLocal("y"),d=r.i32_add(r.getLocal("y"),r.i32_const(o)),u=r.getLocal("r"),g=r.i32_add(r.getLocal("r"),r.i32_const(o)),f=r.i32_const(t.alloc(o)),_=r.i32_const(t.alloc(o)),p=r.i32_const(t.alloc(o)),h=r.i32_const(t.alloc(o));n.addCode(r.call(i+"_mul",s,c,f),r.call(i+"_mul",l,d,_),r.call(i+"_add",s,l,p),r.call(i+"_add",c,d,h),r.call(i+"_mul",p,h,p),r.call(e,_,u),r.call(i+"_add",f,u,u),r.call(i+"_add",f,_,g),r.call(i+"_sub",p,g,g))}(),function(){const e=t.addFunction(a+"_mul1");e.addParam("x","i32"),e.addParam("y","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("y"),c=n.getLocal("r"),d=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_mul",r,l,c),n.call(i+"_mul",s,l,d))}(),function(){const n=t.addFunction(a+"_square");n.addParam("x","i32"),n.addParam("r","i32");const r=n.getCodeBuilder(),s=r.getLocal("x"),l=r.i32_add(r.getLocal("x"),r.i32_const(o)),c=r.getLocal("r"),d=r.i32_add(r.getLocal("r"),r.i32_const(o)),u=r.i32_const(t.alloc(o)),g=r.i32_const(t.alloc(o)),f=r.i32_const(t.alloc(o)),_=r.i32_const(t.alloc(o));n.addCode(r.call(i+"_mul",s,l,u),r.call(i+"_add",s,l,g),r.call(e,l,f),r.call(i+"_add",s,f,f),r.call(e,u,_),r.call(i+"_add",_,u,_),r.call(i+"_mul",g,f,c),r.call(i+"_sub",c,_,c),r.call(i+"_add",u,u,d))}(),function(){const e=t.addFunction(a+"_add");e.addParam("x","i32"),e.addParam("y","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("y"),c=n.i32_add(n.getLocal("y"),n.i32_const(o)),d=n.getLocal("r"),u=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_add",r,l,d),n.call(i+"_add",s,c,u))}(),function(){const e=t.addFunction(a+"_sub");e.addParam("x","i32"),e.addParam("y","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("y"),c=n.i32_add(n.getLocal("y"),n.i32_const(o)),d=n.getLocal("r"),u=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_sub",r,l,d),n.call(i+"_sub",s,c,u))}(),function(){const e=t.addFunction(a+"_neg");e.addParam("x","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("r"),c=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_neg",r,l),n.call(i+"_neg",s,c))}(),function(){const e=t.addFunction(a+"_conjugate");e.addParam("x","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("r"),c=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_copy",r,l),n.call(i+"_neg",s,c))}(),function(){const e=t.addFunction(a+"_toMontgomery");e.addParam("x","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("r"),c=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_toMontgomery",r,l),n.call(i+"_toMontgomery",s,c))}(),function(){const e=t.addFunction(a+"_fromMontgomery");e.addParam("x","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("r"),c=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_fromMontgomery",r,l),n.call(i+"_fromMontgomery",s,c))}(),function(){const e=t.addFunction(a+"_eq");e.addParam("x","i32"),e.addParam("y","i32"),e.setReturnType("i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("y"),c=n.i32_add(n.getLocal("y"),n.i32_const(o));e.addCode(n.i32_and(n.call(i+"_eq",r,l),n.call(i+"_eq",s,c)))}(),function(){const n=t.addFunction(a+"_inverse");n.addParam("x","i32"),n.addParam("r","i32");const r=n.getCodeBuilder(),s=r.getLocal("x"),l=r.i32_add(r.getLocal("x"),r.i32_const(o)),c=r.getLocal("r"),d=r.i32_add(r.getLocal("r"),r.i32_const(o)),u=r.i32_const(t.alloc(o)),g=r.i32_const(t.alloc(o)),f=r.i32_const(t.alloc(o)),_=r.i32_const(t.alloc(o));n.addCode(r.call(i+"_square",s,u),r.call(i+"_square",l,g),r.call(e,g,f),r.call(i+"_sub",u,f,f),r.call(i+"_inverse",f,_),r.call(i+"_mul",s,_,c),r.call(i+"_mul",l,_,d),r.call(i+"_neg",d,d))}(),function(){const e=t.addFunction(a+"_timesScalar");e.addParam("x","i32"),e.addParam("scalar","i32"),e.addParam("scalarLen","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("r"),c=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_timesScalar",r,n.getLocal("scalar"),n.getLocal("scalarLen"),l),n.call(i+"_timesScalar",s,n.getLocal("scalar"),n.getLocal("scalarLen"),c))}(),function(){const e=t.addFunction(a+"_sign");e.addParam("x","i32"),e.addLocal("s","i32"),e.setReturnType("i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o));e.addCode(n.setLocal("s",n.call(i+"_sign",s)),n.if(n.getLocal("s"),n.ret(n.getLocal("s"))),n.ret(n.call(i+"_sign",r)))}(),function(){const e=t.addFunction(a+"_isNegative");e.addParam("x","i32"),e.setReturnType("i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o));e.addCode(n.if(n.call(i+"_isZero",s),n.ret(n.call(i+"_isNegative",r))),n.ret(n.call(i+"_isNegative",s)))}(),t.exportFunction(a+"_isZero"),t.exportFunction(a+"_isOne"),t.exportFunction(a+"_zero"),t.exportFunction(a+"_one"),t.exportFunction(a+"_copy"),t.exportFunction(a+"_mul"),t.exportFunction(a+"_mul1"),t.exportFunction(a+"_square"),t.exportFunction(a+"_add"),t.exportFunction(a+"_sub"),t.exportFunction(a+"_neg"),t.exportFunction(a+"_sign"),t.exportFunction(a+"_conjugate"),t.exportFunction(a+"_fromMontgomery"),t.exportFunction(a+"_toMontgomery"),t.exportFunction(a+"_eq"),t.exportFunction(a+"_inverse"),Zt(t,a),$t(t,a+"_exp",2*o,a+"_mul",a+"_square",a+"_copy",a+"_one"),function(){const e=t.addFunction(a+"_sqrt");e.addParam("a","i32"),e.addParam("pr","i32");const r=e.getCodeBuilder(),s=r.i32_const(t.alloc(Yt.bigInt2BytesLE(Jt(n).minus(Jt(3)).divide(4),o))),l=r.i32_const(t.alloc(Yt.bigInt2BytesLE(Jt(n).minus(Jt(1)).divide(2),o))),c=r.getLocal("a"),d=r.i32_const(t.alloc(2*o)),u=r.i32_const(t.alloc(2*o)),g=r.i32_const(t.alloc(2*o)),f=t.alloc(2*o),_=r.i32_const(f),p=r.i32_const(f),h=r.i32_const(f+o),m=r.i32_const(t.alloc(2*o)),L=r.i32_const(t.alloc(2*o));e.addCode(r.call(a+"_one",_),r.call(a+"_neg",_,_),r.call(a+"_exp",c,s,r.i32_const(o),d),r.call(a+"_square",d,u),r.call(a+"_mul",c,u,u),r.call(a+"_conjugate",u,g),r.call(a+"_mul",g,u,g),r.if(r.call(a+"_eq",g,_),r.unreachable()),r.call(a+"_mul",d,c,m),r.if(r.call(a+"_eq",u,_),[...r.call(i+"_zero",p),...r.call(i+"_one",h),...r.call(a+"_mul",_,m,r.getLocal("pr"))],[...r.call(a+"_one",L),...r.call(a+"_add",L,u,L),...r.call(a+"_exp",L,l,r.i32_const(o),L),...r.call(a+"_mul",L,m,r.getLocal("pr"))]))}(),function(){const e=t.addFunction(a+"_isSquare");e.addParam("a","i32"),e.setReturnType("i32");const i=e.getCodeBuilder(),r=i.i32_const(t.alloc(Yt.bigInt2BytesLE(Jt(n).minus(Jt(3)).divide(4),o))),s=i.getLocal("a"),l=i.i32_const(t.alloc(2*o)),c=i.i32_const(t.alloc(2*o)),d=i.i32_const(t.alloc(2*o)),u=t.alloc(2*o),g=i.i32_const(u);e.addCode(i.call(a+"_one",g),i.call(a+"_neg",g,g),i.call(a+"_exp",s,r,i.i32_const(o),l),i.call(a+"_square",l,c),i.call(a+"_mul",s,c,c),i.call(a+"_conjugate",c,d),i.call(a+"_mul",d,c,d),i.if(i.call(a+"_eq",d,g),i.ret(i.i32_const(0))),i.ret(i.i32_const(1)))}(),t.exportFunction(a+"_exp"),t.exportFunction(a+"_timesScalar"),t.exportFunction(a+"_batchInverse"),t.exportFunction(a+"_sqrt"),t.exportFunction(a+"_isSquare"),t.exportFunction(a+"_isNegative"),a};const Xt=Ot,te=Ut;var ee=function(t,e,a,i){if(t.modules[a])return a;const o=8*t.modules[i].n64;return t.modules[a]={n64:3*t.modules[i].n64},function(){const e=t.addFunction(a+"_isZero");e.addParam("x","i32"),e.setReturnType("i32");const 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n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.i32_add(n.getLocal("x"),n.i32_const(2*o)),c=n.getLocal("r"),d=n.i32_add(n.getLocal("r"),n.i32_const(o)),u=n.i32_add(n.getLocal("r"),n.i32_const(2*o));e.addCode(n.call(i+"_fromMontgomery",r,c),n.call(i+"_fromMontgomery",s,d),n.call(i+"_fromMontgomery",l,u))}(),function(){const e=t.addFunction(a+"_eq");e.addParam("x","i32"),e.addParam("y","i32"),e.setReturnType("i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.i32_add(n.getLocal("x"),n.i32_const(2*o)),c=n.getLocal("y"),d=n.i32_add(n.getLocal("y"),n.i32_const(o)),u=n.i32_add(n.getLocal("y"),n.i32_const(2*o));e.addCode(n.i32_and(n.i32_and(n.call(i+"_eq",r,c),n.call(i+"_eq",s,d)),n.call(i+"_eq",l,u)))}(),function(){const n=t.addFunction(a+"_inverse");n.addParam("x","i32"),n.addParam("r","i32");const 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e=t.addFunction(a+"_timesScalar");e.addParam("x","i32"),e.addParam("scalar","i32"),e.addParam("scalarLen","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.i32_add(n.getLocal("x"),n.i32_const(2*o)),c=n.getLocal("r"),d=n.i32_add(n.getLocal("r"),n.i32_const(o)),u=n.i32_add(n.getLocal("r"),n.i32_const(2*o));e.addCode(n.call(i+"_timesScalar",r,n.getLocal("scalar"),n.getLocal("scalarLen"),c),n.call(i+"_timesScalar",s,n.getLocal("scalar"),n.getLocal("scalarLen"),d),n.call(i+"_timesScalar",l,n.getLocal("scalar"),n.getLocal("scalarLen"),u))}(),function(){const e=t.addFunction(a+"_isNegative");e.addParam("x","i32"),e.setReturnType("i32");const 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n=8*t.modules[e].n64;function r(){const i=t.addFunction(a);i.addParam("pBases","i32"),i.addParam("pScalars","i32"),i.addParam("scalarSize","i32"),i.addParam("n","i32"),i.addParam("pr","i32"),i.addLocal("chunkSize","i32"),i.addLocal("nChunks","i32"),i.addLocal("itScalar","i32"),i.addLocal("endScalar","i32"),i.addLocal("itBase","i32"),i.addLocal("itBit","i32"),i.addLocal("i","i32"),i.addLocal("j","i32"),i.addLocal("nTable","i32"),i.addLocal("pTable","i32"),i.addLocal("idx","i32"),i.addLocal("pIdxTable","i32");const o=i.getCodeBuilder(),r=o.i32_const(t.alloc(n)),s=t.alloc([17,17,17,17,17,17,17,17,17,17,16,16,15,14,13,13,12,11,10,9,8,7,7,6,5,4,3,2,1,1,1,1]);i.addCode(o.call(e+"_zero",o.getLocal("pr")),o.if(o.i32_eqz(o.getLocal("n")),o.ret([])),o.setLocal("chunkSize",o.i32_load8_u(o.i32_clz(o.getLocal("n")),s)),o.setLocal("nChunks",o.i32_add(o.i32_div_u(o.i32_sub(o.i32_shl(o.getLocal("scalarSize"),o.i32_const(3)),o.i32_const(1)),o.getLocal("chunkSize")),o.i32_const(1))),o.setLocal("itBit",o.i32_mul(o.i32_sub(o.getLocal("nChunks"),o.i32_const(1)),o.getLocal("chunkSize"))),o.block(o.loop(o.br_if(1,o.i32_lt_s(o.getLocal("itBit"),o.i32_const(0))),o.if(o.i32_eqz(o.call(e+"_isZero",o.getLocal("pr"))),[...o.setLocal("j",o.i32_const(0)),...o.block(o.loop(o.br_if(1,o.i32_eq(o.getLocal("j"),o.getLocal("chunkSize"))),o.call(e+"_double",o.getLocal("pr"),o.getLocal("pr")),o.setLocal("j",o.i32_add(o.getLocal("j"),o.i32_const(1))),o.br(0)))]),o.call(a+"_chunk",o.getLocal("pBases"),o.getLocal("pScalars"),o.getLocal("scalarSize"),o.getLocal("n"),o.getLocal("itBit"),o.getLocal("chunkSize"),r),o.call(e+"_add",o.getLocal("pr"),r,o.getLocal("pr")),o.setLocal("itBit",o.i32_sub(o.getLocal("itBit"),o.getLocal("chunkSize"))),o.br(0))))}!function(){const e=t.addFunction(a+"_getChunk");e.addParam("pScalar","i32"),e.addParam("scalarSize","i32"),e.addParam("startBit","i32"),e.addParam("chunkSize","i32"),e.addLocal("bitsToEnd","i32"),e.addLocal("mask","i32"),e.setReturnType("i32");const i=e.getCodeBuilder();e.addCode(i.setLocal("bitsToEnd",i.i32_sub(i.i32_mul(i.getLocal("scalarSize"),i.i32_const(8)),i.getLocal("startBit"))),i.if(i.i32_gt_s(i.getLocal("chunkSize"),i.getLocal("bitsToEnd")),i.setLocal("mask",i.i32_sub(i.i32_shl(i.i32_const(1),i.getLocal("bitsToEnd")),i.i32_const(1))),i.setLocal("mask",i.i32_sub(i.i32_shl(i.i32_const(1),i.getLocal("chunkSize")),i.i32_const(1)))),i.i32_and(i.i32_shr_u(i.i32_load(i.i32_add(i.getLocal("pScalar"),i.i32_shr_u(i.getLocal("startBit"),i.i32_const(3))),0,0),i.i32_and(i.getLocal("startBit"),i.i32_const(7))),i.getLocal("mask")))}(),function(){const i=t.addFunction(a+"_reduceTable");i.addParam("pTable","i32"),i.addParam("p","i32"),i.addLocal("half","i32"),i.addLocal("it1","i32"),i.addLocal("it2","i32"),i.addLocal("pAcc","i32");const o=i.getCodeBuilder();i.addCode(o.if(o.i32_eq(o.getLocal("p"),o.i32_const(1)),o.ret([])),o.setLocal("half",o.i32_shl(o.i32_const(1),o.i32_sub(o.getLocal("p"),o.i32_const(1)))),o.setLocal("it1",o.getLocal("pTable")),o.setLocal("it2",o.i32_add(o.getLocal("pTable"),o.i32_mul(o.getLocal("half"),o.i32_const(n)))),o.setLocal("pAcc",o.i32_sub(o.getLocal("it2"),o.i32_const(n))),o.block(o.loop(o.br_if(1,o.i32_eq(o.getLocal("it1"),o.getLocal("pAcc"))),o.call(e+"_add",o.getLocal("it1"),o.getLocal("it2"),o.getLocal("it1")),o.call(e+"_add",o.getLocal("pAcc"),o.getLocal("it2"),o.getLocal("pAcc")),o.setLocal("it1",o.i32_add(o.getLocal("it1"),o.i32_const(n))),o.setLocal("it2",o.i32_add(o.getLocal("it2"),o.i32_const(n))),o.br(0))),o.call(a+"_reduceTable",o.getLocal("pTable"),o.i32_sub(o.getLocal("p"),o.i32_const(1))),o.setLocal("p",o.i32_sub(o.getLocal("p"),o.i32_const(1))),o.block(o.loop(o.br_if(1,o.i32_eqz(o.getLocal("p"))),o.call(e+"_double",o.getLocal("pAcc"),o.getLocal("pAcc")),o.setLocal("p",o.i32_sub(o.getLocal("p"),o.i32_const(1))),o.br(0))),o.call(e+"_add",o.getLocal("pTable"),o.getLocal("pAcc"),o.getLocal("pTable")))}(),function(){const r=t.addFunction(a+"_chunk");r.addParam("pBases","i32"),r.addParam("pScalars","i32"),r.addParam("scalarSize","i32"),r.addParam("n","i32"),r.addParam("startBit","i32"),r.addParam("chunkSize","i32"),r.addParam("pr","i32"),r.addLocal("nChunks","i32"),r.addLocal("itScalar","i32"),r.addLocal("endScalar","i32"),r.addLocal("itBase","i32"),r.addLocal("i","i32"),r.addLocal("j","i32"),r.addLocal("nTable","i32"),r.addLocal("pTable","i32"),r.addLocal("idx","i32"),r.addLocal("pIdxTable","i32");const s=r.getCodeBuilder();r.addCode(s.if(s.i32_eqz(s.getLocal("n")),[...s.call(e+"_zero",s.getLocal("pr")),...s.ret([])]),s.setLocal("nTable",s.i32_shl(s.i32_const(1),s.getLocal("chunkSize"))),s.setLocal("pTable",s.i32_load(s.i32_const(0))),s.i32_store(s.i32_const(0),s.i32_add(s.getLocal("pTable"),s.i32_mul(s.getLocal("nTable"),s.i32_const(n)))),s.setLocal("j",s.i32_const(0)),s.block(s.loop(s.br_if(1,s.i32_eq(s.getLocal("j"),s.getLocal("nTable"))),s.call(e+"_zero",s.i32_add(s.getLocal("pTable"),s.i32_mul(s.getLocal("j"),s.i32_const(n)))),s.setLocal("j",s.i32_add(s.getLocal("j"),s.i32_const(1))),s.br(0))),s.setLocal("itBase",s.getLocal("pBases")),s.setLocal("itScalar",s.getLocal("pScalars")),s.setLocal("endScalar",s.i32_add(s.getLocal("pScalars"),s.i32_mul(s.getLocal("n"),s.getLocal("scalarSize")))),s.block(s.loop(s.br_if(1,s.i32_eq(s.getLocal("itScalar"),s.getLocal("endScalar"))),s.setLocal("idx",s.call(a+"_getChunk",s.getLocal("itScalar"),s.getLocal("scalarSize"),s.getLocal("startBit"),s.getLocal("chunkSize"))),s.if(s.getLocal("idx"),[...s.setLocal("pIdxTable",s.i32_add(s.getLocal("pTable"),s.i32_mul(s.i32_sub(s.getLocal("idx"),s.i32_const(1)),s.i32_const(n)))),...s.call(i,s.getLocal("pIdxTable"),s.getLocal("itBase"),s.getLocal("pIdxTable"))]),s.setLocal("itScalar",s.i32_add(s.getLocal("itScalar"),s.getLocal("scalarSize"))),s.setLocal("itBase",s.i32_add(s.getLocal("itBase"),s.i32_const(o))),s.br(0))),s.call(a+"_reduceTable",s.getLocal("pTable"),s.getLocal("chunkSize")),s.call(e+"_copy",s.getLocal("pTable"),s.getLocal("pr")),s.i32_store(s.i32_const(0),s.getLocal("pTable")))}(),r(),t.exportFunction(a),t.exportFunction(a+"_chunk")};var ne=function(t,e,a,i){const o=t.modules[a].n64,n=8*o;if(t.modules[e])return e;return t.modules[e]={n64:3*o},function(){const i=t.addFunction(e+"_isZeroAffine");i.addParam("p1","i32"),i.setReturnType("i32");const o=i.getCodeBuilder();i.addCode(o.i32_and(o.call(a+"_isZero",o.getLocal("p1")),o.call(a+"_isZero",o.i32_add(o.getLocal("p1"),o.i32_const(n)))))}(),function(){const i=t.addFunction(e+"_isZero");i.addParam("p1","i32"),i.setReturnType("i32");const o=i.getCodeBuilder();i.addCode(o.call(a+"_isZero",o.i32_add(o.getLocal("p1"),o.i32_const(2*n))))}(),function(){const i=t.addFunction(e+"_zeroAffine");i.addParam("pr","i32");const o=i.getCodeBuilder();i.addCode(o.call(a+"_zero",o.getLocal("pr"))),i.addCode(o.call(a+"_zero",o.i32_add(o.getLocal("pr"),o.i32_const(n))))}(),function(){const i=t.addFunction(e+"_zero");i.addParam("pr","i32");const o=i.getCodeBuilder();i.addCode(o.call(a+"_zero",o.getLocal("pr"))),i.addCode(o.call(a+"_one",o.i32_add(o.getLocal("pr"),o.i32_const(n)))),i.addCode(o.call(a+"_zero",o.i32_add(o.getLocal("pr"),o.i32_const(2*n))))}(),function(){const a=t.addFunction(e+"_copyAffine");a.addParam("ps","i32"),a.addParam("pd","i32");const i=a.getCodeBuilder();for(let t=0;t<2*o;t++)a.addCode(i.i64_store(i.getLocal("pd"),8*t,i.i64_load(i.getLocal("ps"),8*t)))}(),function(){const a=t.addFunction(e+"_copy");a.addParam("ps","i32"),a.addParam("pd","i32");const i=a.getCodeBuilder();for(let t=0;t<3*o;t++)a.addCode(i.i64_store(i.getLocal("pd"),8*t,i.i64_load(i.getLocal("ps"),8*t)))}(),function(){const i=t.addFunction(e+"_toJacobian");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n)),l=o.getLocal("pr"),c=o.i32_add(o.getLocal("pr"),o.i32_const(n)),d=o.i32_add(o.getLocal("pr"),o.i32_const(2*n));i.addCode(o.if(o.call(e+"_isZeroAffine",o.getLocal("p1")),o.call(e+"_zero",o.getLocal("pr")),[...o.call(a+"_one",d),...o.call(a+"_copy",s,c),...o.call(a+"_copy",r,l)]))}(),function(){const i=t.addFunction(e+"_eqAffine");i.addParam("p1","i32"),i.addParam("p2","i32"),i.setReturnType("i32"),i.addLocal("z1","i32");const o=i.getCodeBuilder();i.addCode(o.ret(o.i32_and(o.call(a+"_eq",o.getLocal("p1"),o.getLocal("p2")),o.call(a+"_eq",o.i32_add(o.getLocal("p1"),o.i32_const(n)),o.i32_add(o.getLocal("p2"),o.i32_const(n))))))}(),function(){const i=t.addFunction(e+"_eqMixed");i.addParam("p1","i32"),i.addParam("p2","i32"),i.setReturnType("i32"),i.addLocal("z1","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n));i.addCode(o.setLocal("z1",o.i32_add(o.getLocal("p1"),o.i32_const(2*n))));const l=o.getLocal("z1"),c=o.getLocal("p2"),d=o.i32_add(o.getLocal("p2"),o.i32_const(n)),u=o.i32_const(t.alloc(n)),g=o.i32_const(t.alloc(n)),f=o.i32_const(t.alloc(n)),_=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZero",o.getLocal("p1")),o.ret(o.call(e+"_isZeroAffine",o.getLocal("p2")))),o.if(o.call(e+"_isZeroAffine",o.getLocal("p2")),o.ret(o.i32_const(0))),o.if(o.call(a+"_isOne",l),o.ret(o.call(e+"_eqAffine",o.getLocal("p1"),o.getLocal("p2")))),o.call(a+"_square",l,u),o.call(a+"_mul",c,u,g),o.call(a+"_mul",l,u,f),o.call(a+"_mul",d,f,_),o.if(o.call(a+"_eq",r,g),o.if(o.call(a+"_eq",s,_),o.ret(o.i32_const(1)))),o.ret(o.i32_const(0)))}(),function(){const i=t.addFunction(e+"_eq");i.addParam("p1","i32"),i.addParam("p2","i32"),i.setReturnType("i32"),i.addLocal("z1","i32"),i.addLocal("z2","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n));i.addCode(o.setLocal("z1",o.i32_add(o.getLocal("p1"),o.i32_const(2*n))));const l=o.getLocal("z1"),c=o.getLocal("p2"),d=o.i32_add(o.getLocal("p2"),o.i32_const(n));i.addCode(o.setLocal("z2",o.i32_add(o.getLocal("p2"),o.i32_const(2*n))));const u=o.getLocal("z2"),g=o.i32_const(t.alloc(n)),f=o.i32_const(t.alloc(n)),_=o.i32_const(t.alloc(n)),p=o.i32_const(t.alloc(n)),h=o.i32_const(t.alloc(n)),m=o.i32_const(t.alloc(n)),L=o.i32_const(t.alloc(n)),w=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZero",o.getLocal("p1")),o.ret(o.call(e+"_isZero",o.getLocal("p2")))),o.if(o.call(e+"_isZero",o.getLocal("p2")),o.ret(o.i32_const(0))),o.if(o.call(a+"_isOne",l),o.ret(o.call(e+"_eqMixed",o.getLocal("p2"),o.getLocal("p1")))),o.if(o.call(a+"_isOne",u),o.ret(o.call(e+"_eqMixed",o.getLocal("p1"),o.getLocal("p2")))),o.call(a+"_square",l,g),o.call(a+"_square",u,f),o.call(a+"_mul",r,f,_),o.call(a+"_mul",c,g,p),o.call(a+"_mul",l,g,h),o.call(a+"_mul",u,f,m),o.call(a+"_mul",s,m,L),o.call(a+"_mul",d,h,w),o.if(o.call(a+"_eq",_,p),o.if(o.call(a+"_eq",L,w),o.ret(o.i32_const(1)))),o.ret(o.i32_const(0)))}(),function(){const i=t.addFunction(e+"_doubleAffine");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n)),l=o.getLocal("pr"),c=o.i32_add(o.getLocal("pr"),o.i32_const(n)),d=o.i32_add(o.getLocal("pr"),o.i32_const(2*n)),u=o.i32_const(t.alloc(n)),g=o.i32_const(t.alloc(n)),f=o.i32_const(t.alloc(n)),_=o.i32_const(t.alloc(n)),p=o.i32_const(t.alloc(n)),h=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZeroAffine",o.getLocal("p1")),[...o.call(e+"_toJacobian",o.getLocal("p1"),o.getLocal("pr")),...o.ret([])]),o.call(a+"_square",r,u),o.call(a+"_square",s,g),o.call(a+"_square",g,f),o.call(a+"_add",r,g,_),o.call(a+"_square",_,_),o.call(a+"_sub",_,u,_),o.call(a+"_sub",_,f,_),o.call(a+"_add",_,_,_),o.call(a+"_add",u,u,p),o.call(a+"_add",p,u,p),o.call(a+"_add",s,s,d),o.call(a+"_square",p,l),o.call(a+"_sub",l,_,l),o.call(a+"_sub",l,_,l),o.call(a+"_add",f,f,h),o.call(a+"_add",h,h,h),o.call(a+"_add",h,h,h),o.call(a+"_sub",_,l,c),o.call(a+"_mul",c,p,c),o.call(a+"_sub",c,h,c))}(),function(){const i=t.addFunction(e+"_double");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n)),l=o.i32_add(o.getLocal("p1"),o.i32_const(2*n)),c=o.getLocal("pr"),d=o.i32_add(o.getLocal("pr"),o.i32_const(n)),u=o.i32_add(o.getLocal("pr"),o.i32_const(2*n)),g=o.i32_const(t.alloc(n)),f=o.i32_const(t.alloc(n)),_=o.i32_const(t.alloc(n)),p=o.i32_const(t.alloc(n)),h=o.i32_const(t.alloc(n)),m=o.i32_const(t.alloc(n)),L=o.i32_const(t.alloc(n)),w=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZero",o.getLocal("p1")),[...o.call(e+"_copy",o.getLocal("p1"),o.getLocal("pr")),...o.ret([])]),o.if(o.call(a+"_isOne",l),[...o.ret(o.call(e+"_doubleAffine",o.getLocal("p1"),o.getLocal("pr"))),...o.ret([])]),o.call(a+"_square",r,g),o.call(a+"_square",s,f),o.call(a+"_square",f,_),o.call(a+"_add",r,f,p),o.call(a+"_square",p,p),o.call(a+"_sub",p,g,p),o.call(a+"_sub",p,_,p),o.call(a+"_add",p,p,p),o.call(a+"_add",g,g,h),o.call(a+"_add",h,g,h),o.call(a+"_square",h,m),o.call(a+"_mul",s,l,L),o.call(a+"_add",p,p,c),o.call(a+"_sub",m,c,c),o.call(a+"_add",_,_,w),o.call(a+"_add",w,w,w),o.call(a+"_add",w,w,w),o.call(a+"_sub",p,c,d),o.call(a+"_mul",d,h,d),o.call(a+"_sub",d,w,d),o.call(a+"_add",L,L,u))}(),function(){const i=t.addFunction(e+"_addAffine");i.addParam("p1","i32"),i.addParam("p2","i32"),i.addParam("pr","i32"),i.addLocal("z1","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n));i.addCode(o.setLocal("z1",o.i32_add(o.getLocal("p1"),o.i32_const(2*n))));const l=o.getLocal("p2"),c=o.i32_add(o.getLocal("p2"),o.i32_const(n)),d=o.getLocal("pr"),u=o.i32_add(o.getLocal("pr"),o.i32_const(n)),g=o.i32_add(o.getLocal("pr"),o.i32_const(2*n)),f=o.i32_const(t.alloc(n)),_=o.i32_const(t.alloc(n)),p=o.i32_const(t.alloc(n)),h=o.i32_const(t.alloc(n)),m=o.i32_const(t.alloc(n)),L=o.i32_const(t.alloc(n)),w=o.i32_const(t.alloc(n)),b=o.i32_const(t.alloc(n)),y=o.i32_const(t.alloc(n)),A=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZeroAffine",o.getLocal("p1")),[...o.call(e+"_copyAffine",o.getLocal("p2"),o.getLocal("pr")),...o.call(a+"_one",o.i32_add(o.getLocal("pr"),o.i32_const(2*n))),...o.ret([])]),o.if(o.call(e+"_isZeroAffine",o.getLocal("p2")),[...o.call(e+"_copyAffine",o.getLocal("p1"),o.getLocal("pr")),...o.call(a+"_one",o.i32_add(o.getLocal("pr"),o.i32_const(2*n))),...o.ret([])]),o.if(o.call(a+"_eq",r,l),o.if(o.call(a+"_eq",s,c),[...o.call(e+"_doubleAffine",o.getLocal("p2"),o.getLocal("pr")),...o.ret([])])),o.call(a+"_sub",l,r,f),o.call(a+"_sub",c,s,p),o.call(a+"_square",f,_),o.call(a+"_add",_,_,h),o.call(a+"_add",h,h,h),o.call(a+"_mul",f,h,m),o.call(a+"_add",p,p,L),o.call(a+"_mul",r,h,b),o.call(a+"_square",L,w),o.call(a+"_add",b,b,y),o.call(a+"_sub",w,m,d),o.call(a+"_sub",d,y,d),o.call(a+"_mul",s,m,A),o.call(a+"_add",A,A,A),o.call(a+"_sub",b,d,u),o.call(a+"_mul",u,L,u),o.call(a+"_sub",u,A,u),o.call(a+"_add",f,f,g))}(),function(){const i=t.addFunction(e+"_addMixed");i.addParam("p1","i32"),i.addParam("p2","i32"),i.addParam("pr","i32"),i.addLocal("z1","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n));i.addCode(o.setLocal("z1",o.i32_add(o.getLocal("p1"),o.i32_const(2*n))));const l=o.getLocal("z1"),c=o.getLocal("p2"),d=o.i32_add(o.getLocal("p2"),o.i32_const(n)),u=o.getLocal("pr"),g=o.i32_add(o.getLocal("pr"),o.i32_const(n)),f=o.i32_add(o.getLocal("pr"),o.i32_const(2*n)),_=o.i32_const(t.alloc(n)),p=o.i32_const(t.alloc(n)),h=o.i32_const(t.alloc(n)),m=o.i32_const(t.alloc(n)),L=o.i32_const(t.alloc(n)),w=o.i32_const(t.alloc(n)),b=o.i32_const(t.alloc(n)),y=o.i32_const(t.alloc(n)),A=o.i32_const(t.alloc(n)),I=o.i32_const(t.alloc(n)),C=o.i32_const(t.alloc(n)),x=o.i32_const(t.alloc(n)),F=o.i32_const(t.alloc(n)),v=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZero",o.getLocal("p1")),[...o.call(e+"_copyAffine",o.getLocal("p2"),o.getLocal("pr")),...o.call(a+"_one",o.i32_add(o.getLocal("pr"),o.i32_const(2*n))),...o.ret([])]),o.if(o.call(e+"_isZeroAffine",o.getLocal("p2")),[...o.call(e+"_copy",o.getLocal("p1"),o.getLocal("pr")),...o.ret([])]),o.if(o.call(a+"_isOne",l),[...o.call(e+"_addAffine",r,c,u),...o.ret([])]),o.call(a+"_square",l,_),o.call(a+"_mul",c,_,p),o.call(a+"_mul",l,_,h),o.call(a+"_mul",d,h,m),o.if(o.call(a+"_eq",r,p),o.if(o.call(a+"_eq",s,m),[...o.call(e+"_doubleAffine",o.getLocal("p2"),o.getLocal("pr")),...o.ret([])])),o.call(a+"_sub",p,r,L),o.call(a+"_sub",m,s,b),o.call(a+"_square",L,w),o.call(a+"_add",w,w,y),o.call(a+"_add",y,y,y),o.call(a+"_mul",L,y,A),o.call(a+"_add",b,b,I),o.call(a+"_mul",r,y,x),o.call(a+"_square",I,C),o.call(a+"_add",x,x,F),o.call(a+"_sub",C,A,u),o.call(a+"_sub",u,F,u),o.call(a+"_mul",s,A,v),o.call(a+"_add",v,v,v),o.call(a+"_sub",x,u,g),o.call(a+"_mul",g,I,g),o.call(a+"_sub",g,v,g),o.call(a+"_add",l,L,f),o.call(a+"_square",f,f),o.call(a+"_sub",f,_,f),o.call(a+"_sub",f,w,f))}(),function(){const i=t.addFunction(e+"_add");i.addParam("p1","i32"),i.addParam("p2","i32"),i.addParam("pr","i32"),i.addLocal("z1","i32"),i.addLocal("z2","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n));i.addCode(o.setLocal("z1",o.i32_add(o.getLocal("p1"),o.i32_const(2*n))));const l=o.getLocal("z1"),c=o.getLocal("p2"),d=o.i32_add(o.getLocal("p2"),o.i32_const(n));i.addCode(o.setLocal("z2",o.i32_add(o.getLocal("p2"),o.i32_const(2*n))));const u=o.getLocal("z2"),g=o.getLocal("pr"),f=o.i32_add(o.getLocal("pr"),o.i32_const(n)),_=o.i32_add(o.getLocal("pr"),o.i32_const(2*n)),p=o.i32_const(t.alloc(n)),h=o.i32_const(t.alloc(n)),m=o.i32_const(t.alloc(n)),L=o.i32_const(t.alloc(n)),w=o.i32_const(t.alloc(n)),b=o.i32_const(t.alloc(n)),y=o.i32_const(t.alloc(n)),A=o.i32_const(t.alloc(n)),I=o.i32_const(t.alloc(n)),C=o.i32_const(t.alloc(n)),x=o.i32_const(t.alloc(n)),F=o.i32_const(t.alloc(n)),v=o.i32_const(t.alloc(n)),E=o.i32_const(t.alloc(n)),B=o.i32_const(t.alloc(n)),S=o.i32_const(t.alloc(n)),G=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZero",o.getLocal("p1")),[...o.call(e+"_copy",o.getLocal("p2"),o.getLocal("pr")),...o.ret([])]),o.if(o.call(e+"_isZero",o.getLocal("p2")),[...o.call(e+"_copy",o.getLocal("p1"),o.getLocal("pr")),...o.ret([])]),o.if(o.call(a+"_isOne",l),[...o.call(e+"_addMixed",c,r,g),...o.ret([])]),o.if(o.call(a+"_isOne",u),[...o.call(e+"_addMixed",r,c,g),...o.ret([])]),o.call(a+"_square",l,p),o.call(a+"_square",u,h),o.call(a+"_mul",r,h,m),o.call(a+"_mul",c,p,L),o.call(a+"_mul",l,p,w),o.call(a+"_mul",u,h,b),o.call(a+"_mul",s,b,y),o.call(a+"_mul",d,w,A),o.if(o.call(a+"_eq",m,L),o.if(o.call(a+"_eq",y,A),[...o.call(e+"_double",o.getLocal("p1"),o.getLocal("pr")),...o.ret([])])),o.call(a+"_sub",L,m,I),o.call(a+"_sub",A,y,C),o.call(a+"_add",I,I,x),o.call(a+"_square",x,x),o.call(a+"_mul",I,x,F),o.call(a+"_add",C,C,v),o.call(a+"_mul",m,x,B),o.call(a+"_square",v,E),o.call(a+"_add",B,B,S),o.call(a+"_sub",E,F,g),o.call(a+"_sub",g,S,g),o.call(a+"_mul",y,F,G),o.call(a+"_add",G,G,G),o.call(a+"_sub",B,g,f),o.call(a+"_mul",f,v,f),o.call(a+"_sub",f,G,f),o.call(a+"_add",l,u,_),o.call(a+"_square",_,_),o.call(a+"_sub",_,p,_),o.call(a+"_sub",_,h,_),o.call(a+"_mul",_,I,_))}(),function(){const i=t.addFunction(e+"_negAffine");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n)),l=o.getLocal("pr"),c=o.i32_add(o.getLocal("pr"),o.i32_const(n));i.addCode(o.call(a+"_copy",r,l),o.call(a+"_neg",s,c))}(),function(){const i=t.addFunction(e+"_neg");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n)),l=o.i32_add(o.getLocal("p1"),o.i32_const(2*n)),c=o.getLocal("pr"),d=o.i32_add(o.getLocal("pr"),o.i32_const(n)),u=o.i32_add(o.getLocal("pr"),o.i32_const(2*n));i.addCode(o.call(a+"_copy",r,c),o.call(a+"_neg",s,d),o.call(a+"_copy",l,u))}(),function(){const a=t.addFunction(e+"_subAffine");a.addParam("p1","i32"),a.addParam("p2","i32"),a.addParam("pr","i32");const i=a.getCodeBuilder(),o=i.i32_const(t.alloc(3*n));a.addCode(i.call(e+"_negAffine",i.getLocal("p2"),o),i.call(e+"_addAffine",i.getLocal("p1"),o,i.getLocal("pr")))}(),function(){const a=t.addFunction(e+"_subMixed");a.addParam("p1","i32"),a.addParam("p2","i32"),a.addParam("pr","i32");const i=a.getCodeBuilder(),o=i.i32_const(t.alloc(3*n));a.addCode(i.call(e+"_negAffine",i.getLocal("p2"),o),i.call(e+"_addMixed",i.getLocal("p1"),o,i.getLocal("pr")))}(),function(){const a=t.addFunction(e+"_sub");a.addParam("p1","i32"),a.addParam("p2","i32"),a.addParam("pr","i32");const i=a.getCodeBuilder(),o=i.i32_const(t.alloc(3*n));a.addCode(i.call(e+"_neg",i.getLocal("p2"),o),i.call(e+"_add",i.getLocal("p1"),o,i.getLocal("pr")))}(),function(){const i=t.addFunction(e+"_fromMontgomeryAffine");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder();i.addCode(o.call(a+"_fromMontgomery",o.getLocal("p1"),o.getLocal("pr")));for(let t=1;t<2;t++)i.addCode(o.call(a+"_fromMontgomery",o.i32_add(o.getLocal("p1"),o.i32_const(t*n)),o.i32_add(o.getLocal("pr"),o.i32_const(t*n))))}(),function(){const i=t.addFunction(e+"_fromMontgomery");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder();i.addCode(o.call(a+"_fromMontgomery",o.getLocal("p1"),o.getLocal("pr")));for(let t=1;t<3;t++)i.addCode(o.call(a+"_fromMontgomery",o.i32_add(o.getLocal("p1"),o.i32_const(t*n)),o.i32_add(o.getLocal("pr"),o.i32_const(t*n))))}(),function(){const i=t.addFunction(e+"_toMontgomeryAffine");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder();i.addCode(o.call(a+"_toMontgomery",o.getLocal("p1"),o.getLocal("pr")));for(let t=1;t<2;t++)i.addCode(o.call(a+"_toMontgomery",o.i32_add(o.getLocal("p1"),o.i32_const(t*n)),o.i32_add(o.getLocal("pr"),o.i32_const(t*n))))}(),function(){const i=t.addFunction(e+"_toMontgomery");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder();i.addCode(o.call(a+"_toMontgomery",o.getLocal("p1"),o.getLocal("pr")));for(let t=1;t<3;t++)i.addCode(o.call(a+"_toMontgomery",o.i32_add(o.getLocal("p1"),o.i32_const(t*n)),o.i32_add(o.getLocal("pr"),o.i32_const(t*n))))}(),function(){const i=t.addFunction(e+"_toAffine");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n)),l=o.i32_add(o.getLocal("p1"),o.i32_const(2*n)),c=o.getLocal("pr"),d=o.i32_add(o.getLocal("pr"),o.i32_const(n)),u=o.i32_const(t.alloc(n)),g=o.i32_const(t.alloc(n)),f=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZero",o.getLocal("p1")),[...o.call(a+"_zero",c),...o.call(a+"_zero",d)],[...o.call(a+"_inverse",l,u),...o.call(a+"_square",u,g),...o.call(a+"_mul",u,g,f),...o.call(a+"_mul",r,g,c),...o.call(a+"_mul",s,f,d)]))}(),function(){const o=t.addFunction(e+"_inCurveAffine");o.addParam("pIn","i32"),o.setReturnType("i32");const r=o.getCodeBuilder(),s=r.getLocal("pIn"),l=r.i32_add(r.getLocal("pIn"),r.i32_const(n)),c=r.i32_const(t.alloc(n)),d=r.i32_const(t.alloc(n));o.addCode(r.call(a+"_square",l,c),r.call(a+"_square",s,d),r.call(a+"_mul",s,d,d),r.call(a+"_add",d,r.i32_const(i),d),r.ret(r.call(a+"_eq",c,d)))}(),function(){const a=t.addFunction(e+"_inCurve");a.addParam("pIn","i32"),a.setReturnType("i32");const i=a.getCodeBuilder(),o=i.i32_const(t.alloc(2*n));a.addCode(i.call(e+"_toAffine",i.getLocal("pIn"),o),i.ret(i.call(e+"_inCurveAffine",o)))}(),function(){const i=t.addFunction(e+"_batchToAffine");i.addParam("pIn","i32"),i.addParam("n","i32"),i.addParam("pOut","i32"),i.addLocal("pAux","i32"),i.addLocal("itIn","i32"),i.addLocal("itAux","i32"),i.addLocal("itOut","i32"),i.addLocal("i","i32");const o=i.getCodeBuilder(),r=o.i32_const(t.alloc(n));i.addCode(o.setLocal("pAux",o.i32_load(o.i32_const(0))),o.i32_store(o.i32_const(0),o.i32_add(o.getLocal("pAux"),o.i32_mul(o.getLocal("n"),o.i32_const(n)))),o.call(a+"_batchInverse",o.i32_add(o.getLocal("pIn"),o.i32_const(2*n)),o.i32_const(3*n),o.getLocal("n"),o.getLocal("pAux"),o.i32_const(n)),o.setLocal("itIn",o.getLocal("pIn")),o.setLocal("itAux",o.getLocal("pAux")),o.setLocal("itOut",o.getLocal("pOut")),o.setLocal("i",o.i32_const(0)),o.block(o.loop(o.br_if(1,o.i32_eq(o.getLocal("i"),o.getLocal("n"))),o.if(o.call(a+"_isZero",o.getLocal("itAux")),[...o.call(a+"_zero",o.getLocal("itOut")),...o.call(a+"_zero",o.i32_add(o.getLocal("itOut"),o.i32_const(n)))],[...o.call(a+"_mul",o.getLocal("itAux"),o.i32_add(o.getLocal("itIn"),o.i32_const(n)),r),...o.call(a+"_square",o.getLocal("itAux"),o.getLocal("itAux")),...o.call(a+"_mul",o.getLocal("itAux"),o.getLocal("itIn"),o.getLocal("itOut")),...o.call(a+"_mul",o.getLocal("itAux"),r,o.i32_add(o.getLocal("itOut"),o.i32_const(n)))]),o.setLocal("itIn",o.i32_add(o.getLocal("itIn"),o.i32_const(3*n))),o.setLocal("itOut",o.i32_add(o.getLocal("itOut"),o.i32_const(2*n))),o.setLocal("itAux",o.i32_add(o.getLocal("itAux"),o.i32_const(n))),o.setLocal("i",o.i32_add(o.getLocal("i"),o.i32_const(1))),o.br(0))),o.i32_store(o.i32_const(0),o.getLocal("pAux")))}(),function(){const i=t.addFunction(e+"_normalize");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n)),l=o.i32_add(o.getLocal("p1"),o.i32_const(2*n)),c=o.getLocal("pr"),d=o.i32_add(o.getLocal("pr"),o.i32_const(n)),u=o.i32_add(o.getLocal("pr"),o.i32_const(2*n)),g=o.i32_const(t.alloc(n)),f=o.i32_const(t.alloc(n)),_=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZero",o.getLocal("p1")),o.call(e+"_zero",o.getLocal("pr")),[...o.call(a+"_inverse",l,g),...o.call(a+"_square",g,f),...o.call(a+"_mul",g,f,_),...o.call(a+"_mul",r,f,c),...o.call(a+"_mul",s,_,d),...o.call(a+"_one",u)]))}(),function(){const a=t.addFunction(e+"__reverseBytes");a.addParam("pIn","i32"),a.addParam("n","i32"),a.addParam("pOut","i32"),a.addLocal("itOut","i32"),a.addLocal("itIn","i32");const i=a.getCodeBuilder();a.addCode(i.setLocal("itOut",i.i32_sub(i.i32_add(i.getLocal("pOut"),i.getLocal("n")),i.i32_const(1))),i.setLocal("itIn",i.getLocal("pIn")),i.block(i.loop(i.br_if(1,i.i32_lt_s(i.getLocal("itOut"),i.getLocal("pOut"))),i.i32_store8(i.getLocal("itOut"),i.i32_load8_u(i.getLocal("itIn"))),i.setLocal("itOut",i.i32_sub(i.getLocal("itOut"),i.i32_const(1))),i.setLocal("itIn",i.i32_add(i.getLocal("itIn"),i.i32_const(1))),i.br(0))))}(),function(){const a=t.addFunction(e+"_LEMtoU");a.addParam("pIn","i32"),a.addParam("pOut","i32");const i=a.getCodeBuilder(),o=t.alloc(2*n),r=i.i32_const(o),s=i.i32_const(o),l=i.i32_const(o+n);a.addCode(i.if(i.call(e+"_isZeroAffine",i.getLocal("pIn")),[...i.call(e+"_zeroAffine",i.getLocal("pOut")),...i.i32_store8(i.getLocal("pOut"),i.i32_const(64)),...i.ret([])]),i.call(e+"_fromMontgomeryAffine",i.getLocal("pIn"),r),i.call(e+"__reverseBytes",s,i.i32_const(n),i.getLocal("pOut")),i.call(e+"__reverseBytes",l,i.i32_const(n),i.i32_add(i.getLocal("pOut"),i.i32_const(n))))}(),function(){const i=t.addFunction(e+"_LEMtoC");i.addParam("pIn","i32"),i.addParam("pOut","i32");const o=i.getCodeBuilder(),r=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZero",o.getLocal("pIn")),[...o.call(a+"_zero",o.getLocal("pOut")),...o.i32_store8(o.getLocal("pOut"),o.i32_const(64)),...o.ret([])]),o.call(a+"_fromMontgomery",o.getLocal("pIn"),r),o.call(e+"__reverseBytes",r,o.i32_const(n),o.getLocal("pOut")),o.if(o.i32_eq(o.call(a+"_sign",o.i32_add(o.getLocal("pIn"),o.i32_const(n))),o.i32_const(-1)),o.i32_store8(o.getLocal("pOut"),o.i32_or(o.i32_load8_u(o.getLocal("pOut")),o.i32_const(128)))))}(),function(){const a=t.addFunction(e+"_UtoLEM");a.addParam("pIn","i32"),a.addParam("pOut","i32");const i=a.getCodeBuilder(),o=t.alloc(2*n),r=i.i32_const(o),s=i.i32_const(o),l=i.i32_const(o+n);a.addCode(i.if(i.i32_and(i.i32_load8_u(i.getLocal("pIn")),i.i32_const(64)),[...i.call(e+"_zeroAffine",i.getLocal("pOut")),...i.ret([])]),i.call(e+"__reverseBytes",i.getLocal("pIn"),i.i32_const(n),s),i.call(e+"__reverseBytes",i.i32_add(i.getLocal("pIn"),i.i32_const(n)),i.i32_const(n),l),i.call(e+"_toMontgomeryAffine",r,i.getLocal("pOut")))}(),function(){const o=t.addFunction(e+"_CtoLEM");o.addParam("pIn","i32"),o.addParam("pOut","i32"),o.addLocal("firstByte","i32"),o.addLocal("greatest","i32");const r=o.getCodeBuilder(),s=t.alloc(2*n),l=r.i32_const(s),c=r.i32_const(s+n);o.addCode(r.setLocal("firstByte",r.i32_load8_u(r.getLocal("pIn"))),r.if(r.i32_and(r.getLocal("firstByte"),r.i32_const(64)),[...r.call(e+"_zeroAffine",r.getLocal("pOut")),...r.ret([])]),r.setLocal("greatest",r.i32_and(r.getLocal("firstByte"),r.i32_const(128))),r.call(a+"_copy",r.getLocal("pIn"),c),r.i32_store8(c,r.i32_and(r.getLocal("firstByte"),r.i32_const(63))),r.call(e+"__reverseBytes",c,r.i32_const(n),l),r.call(a+"_toMontgomery",l,r.getLocal("pOut")),r.call(a+"_square",r.getLocal("pOut"),c),r.call(a+"_mul",r.getLocal("pOut"),c,c),r.call(a+"_add",c,r.i32_const(i),c),r.call(a+"_sqrt",c,c),r.call(a+"_neg",c,l),r.if(r.i32_eq(r.call(a+"_sign",c),r.i32_const(-1)),r.if(r.getLocal("greatest"),r.call(a+"_copy",c,r.i32_add(r.getLocal("pOut"),r.i32_const(n))),r.call(a+"_neg",c,r.i32_add(r.getLocal("pOut"),r.i32_const(n)))),r.if(r.getLocal("greatest"),r.call(a+"_neg",c,r.i32_add(r.getLocal("pOut"),r.i32_const(n))),r.call(a+"_copy",c,r.i32_add(r.getLocal("pOut"),r.i32_const(n))))))}(),ie(t,e+"_batchLEMtoU",e+"_LEMtoU",2*n,2*n),ie(t,e+"_batchLEMtoC",e+"_LEMtoC",2*n,n),ie(t,e+"_batchUtoLEM",e+"_UtoLEM",2*n,2*n),ie(t,e+"_batchCtoLEM",e+"_CtoLEM",n,2*n,!0),ie(t,e+"_batchToJacobian",e+"_toJacobian",2*n,3*n,!0),oe(t,e,e+"_multiexp",e+"_add",3*n),oe(t,e,e+"_multiexpAffine",e+"_addMixed",2*n),ae(t,e+"_timesScalar",3*n,e+"_add",e+"_double",e+"_sub",e+"_copy",e+"_zero"),ae(t,e+"_timesScalarAffine",2*n,e+"_addMixed",e+"_double",e+"_subMixed",e+"_copyAffine",e+"_zero"),t.exportFunction(e+"_isZero"),t.exportFunction(e+"_isZeroAffine"),t.exportFunction(e+"_eq"),t.exportFunction(e+"_eqMixed"),t.exportFunction(e+"_eqAffine"),t.exportFunction(e+"_copy"),t.exportFunction(e+"_copyAffine"),t.exportFunction(e+"_zero"),t.exportFunction(e+"_zeroAffine"),t.exportFunction(e+"_double"),t.exportFunction(e+"_doubleAffine"),t.exportFunction(e+"_add"),t.exportFunction(e+"_addMixed"),t.exportFunction(e+"_addAffine"),t.exportFunction(e+"_neg"),t.exportFunction(e+"_negAffine"),t.exportFunction(e+"_sub"),t.exportFunction(e+"_subMixed"),t.exportFunction(e+"_subAffine"),t.exportFunction(e+"_fromMontgomery"),t.exportFunction(e+"_fromMontgomeryAffine"),t.exportFunction(e+"_toMontgomery"),t.exportFunction(e+"_toMontgomeryAffine"),t.exportFunction(e+"_timesScalar"),t.exportFunction(e+"_timesScalarAffine"),t.exportFunction(e+"_normalize"),t.exportFunction(e+"_LEMtoU"),t.exportFunction(e+"_LEMtoC"),t.exportFunction(e+"_UtoLEM"),t.exportFunction(e+"_CtoLEM"),t.exportFunction(e+"_batchLEMtoU"),t.exportFunction(e+"_batchLEMtoC"),t.exportFunction(e+"_batchUtoLEM"),t.exportFunction(e+"_batchCtoLEM"),t.exportFunction(e+"_toAffine"),t.exportFunction(e+"_toJacobian"),t.exportFunction(e+"_batchToAffine"),t.exportFunction(e+"_batchToJacobian"),t.exportFunction(e+"_inCurve"),t.exportFunction(e+"_inCurveAffine"),e};const re=d.exports,se=St;var le=function(t,e,a,i,o){const n=8*t.modules[i].n64,r=8*t.modules[a].n64,s=t.modules[i].q;let l=s.minus(re(1)),c=0;for(;!l.isOdd();)c++,l=l.shiftRight(1);let d=re(2);for(;d.modPow(s.shiftRight(1),s).equals(1);)d=d.add(1);const u=new Array(c+1);u[c]=d.modPow(l,s);let g=c-1;for(;g>=0;)u[g]=u[g+1].modPow(2,s),g--;const f=[],_=re(1).shiftLeft(8*n).mod(s);for(let t=0;t>a);return e}const x=Array(256);for(let t=0;t<256;t++)x[t]=C(t);const F=t.alloc(x);function v(){const a=t.addFunction(e+"_fft");a.addParam("px","i32"),a.addParam("n","i32"),a.addLocal("bits","i32");const o=a.getCodeBuilder(),r=o.i32_const(t.alloc(n));a.addCode(o.setLocal("bits",o.call(e+"__log2",o.getLocal("n"))),o.call(i+"_one",r),o.call(e+"_rawfft",o.getLocal("px"),o.getLocal("bits"),o.i32_const(0),r))}!function(){const a=t.addFunction(e+"__rev");a.addParam("x","i32"),a.addParam("bits","i32"),a.setReturnType("i32");const i=a.getCodeBuilder();a.addCode(i.i32_rotl(i.i32_add(i.i32_add(i.i32_shl(i.i32_load8_u(i.i32_and(i.getLocal("x"),i.i32_const(255)),F,0),i.i32_const(24)),i.i32_shl(i.i32_load8_u(i.i32_and(i.i32_shr_u(i.getLocal("x"),i.i32_const(8)),i.i32_const(255)),F,0),i.i32_const(16))),i.i32_add(i.i32_shl(i.i32_load8_u(i.i32_and(i.i32_shr_u(i.getLocal("x"),i.i32_const(16)),i.i32_const(255)),F,0),i.i32_const(8)),i.i32_load8_u(i.i32_and(i.i32_shr_u(i.getLocal("x"),i.i32_const(24)),i.i32_const(255)),F,0))),i.getLocal("bits")))}(),function(){const i=t.addFunction(e+"__reversePermutation");i.addParam("px","i32"),i.addParam("bits","i32"),i.addLocal("n","i32"),i.addLocal("i","i32"),i.addLocal("ri","i32"),i.addLocal("idx1","i32"),i.addLocal("idx2","i32");const o=i.getCodeBuilder(),n=o.i32_const(t.alloc(r));i.addCode(o.setLocal("n",o.i32_shl(o.i32_const(1),o.getLocal("bits"))),o.setLocal("i",o.i32_const(0)),o.block(o.loop(o.br_if(1,o.i32_eq(o.getLocal("i"),o.getLocal("n"))),o.setLocal("idx1",o.i32_add(o.getLocal("px"),o.i32_mul(o.getLocal("i"),o.i32_const(r)))),o.setLocal("ri",o.call(e+"__rev",o.getLocal("i"),o.getLocal("bits"))),o.setLocal("idx2",o.i32_add(o.getLocal("px"),o.i32_mul(o.getLocal("ri"),o.i32_const(r)))),o.if(o.i32_lt_u(o.getLocal("i"),o.getLocal("ri")),[...o.call(a+"_copy",o.getLocal("idx1"),n),...o.call(a+"_copy",o.getLocal("idx2"),o.getLocal("idx1")),...o.call(a+"_copy",n,o.getLocal("idx2"))]),o.setLocal("i",o.i32_add(o.getLocal("i"),o.i32_const(1))),o.br(0))))}(),function(){const n=t.addFunction(e+"__fftFinal");n.addParam("px","i32"),n.addParam("bits","i32"),n.addParam("reverse","i32"),n.addParam("mulFactor","i32"),n.addLocal("n","i32"),n.addLocal("ndiv2","i32"),n.addLocal("pInv2","i32"),n.addLocal("i","i32"),n.addLocal("mask","i32"),n.addLocal("idx1","i32"),n.addLocal("idx2","i32");const s=n.getCodeBuilder(),l=s.i32_const(t.alloc(r));n.addCode(s.if(s.i32_and(s.i32_eqz(s.getLocal("reverse")),s.call(i+"_isOne",s.getLocal("mulFactor"))),s.ret([])),s.setLocal("n",s.i32_shl(s.i32_const(1),s.getLocal("bits"))),s.setLocal("mask",s.i32_sub(s.getLocal("n"),s.i32_const(1))),s.setLocal("i",s.i32_const(1)),s.setLocal("ndiv2",s.i32_shr_u(s.getLocal("n"),s.i32_const(1))),s.block(s.loop(s.br_if(1,s.i32_ge_u(s.getLocal("i"),s.getLocal("ndiv2"))),s.setLocal("idx1",s.i32_add(s.getLocal("px"),s.i32_mul(s.getLocal("i"),s.i32_const(r)))),s.setLocal("idx2",s.i32_add(s.getLocal("px"),s.i32_mul(s.i32_sub(s.getLocal("n"),s.getLocal("i")),s.i32_const(r)))),s.if(s.getLocal("reverse"),s.if(s.call(i+"_isOne",s.getLocal("mulFactor")),[...s.call(a+"_copy",s.getLocal("idx1"),l),...s.call(a+"_copy",s.getLocal("idx2"),s.getLocal("idx1")),...s.call(a+"_copy",l,s.getLocal("idx2"))],[...s.call(a+"_copy",s.getLocal("idx1"),l),...s.call(o,s.getLocal("idx2"),s.getLocal("mulFactor"),s.getLocal("idx1")),...s.call(o,l,s.getLocal("mulFactor"),s.getLocal("idx2"))]),s.if(s.call(i+"_isOne",s.getLocal("mulFactor")),[],[...s.call(o,s.getLocal("idx1"),s.getLocal("mulFactor"),s.getLocal("idx1")),...s.call(o,s.getLocal("idx2"),s.getLocal("mulFactor"),s.getLocal("idx2"))])),s.setLocal("i",s.i32_add(s.getLocal("i"),s.i32_const(1))),s.br(0))),s.if(s.call(i+"_isOne",s.getLocal("mulFactor")),[],[...s.call(o,s.getLocal("px"),s.getLocal("mulFactor"),s.getLocal("px")),...s.setLocal("idx2",s.i32_add(s.getLocal("px"),s.i32_mul(s.getLocal("ndiv2"),s.i32_const(r)))),...s.call(o,s.getLocal("idx2"),s.getLocal("mulFactor"),s.getLocal("idx2"))]))}(),function(){const s=t.addFunction(e+"_rawfft");s.addParam("px","i32"),s.addParam("bits","i32"),s.addParam("reverse","i32"),s.addParam("mulFactor","i32"),s.addLocal("s","i32"),s.addLocal("k","i32"),s.addLocal("j","i32"),s.addLocal("m","i32"),s.addLocal("mdiv2","i32"),s.addLocal("n","i32"),s.addLocal("pwm","i32"),s.addLocal("idx1","i32"),s.addLocal("idx2","i32");const l=s.getCodeBuilder(),c=l.i32_const(t.alloc(n)),d=l.i32_const(t.alloc(r)),u=l.i32_const(t.alloc(r));s.addCode(l.call(e+"__reversePermutation",l.getLocal("px"),l.getLocal("bits")),l.setLocal("n",l.i32_shl(l.i32_const(1),l.getLocal("bits"))),l.setLocal("s",l.i32_const(1)),l.block(l.loop(l.br_if(1,l.i32_gt_u(l.getLocal("s"),l.getLocal("bits"))),l.setLocal("m",l.i32_shl(l.i32_const(1),l.getLocal("s"))),l.setLocal("pwm",l.i32_add(l.i32_const(p),l.i32_mul(l.getLocal("s"),l.i32_const(n)))),l.setLocal("k",l.i32_const(0)),l.block(l.loop(l.br_if(1,l.i32_ge_u(l.getLocal("k"),l.getLocal("n"))),l.call(i+"_one",c),l.setLocal("mdiv2",l.i32_shr_u(l.getLocal("m"),l.i32_const(1))),l.setLocal("j",l.i32_const(0)),l.block(l.loop(l.br_if(1,l.i32_ge_u(l.getLocal("j"),l.getLocal("mdiv2"))),l.setLocal("idx1",l.i32_add(l.getLocal("px"),l.i32_mul(l.i32_add(l.getLocal("k"),l.getLocal("j")),l.i32_const(r)))),l.setLocal("idx2",l.i32_add(l.getLocal("idx1"),l.i32_mul(l.getLocal("mdiv2"),l.i32_const(r)))),l.call(o,l.getLocal("idx2"),c,d),l.call(a+"_copy",l.getLocal("idx1"),u),l.call(a+"_add",u,d,l.getLocal("idx1")),l.call(a+"_sub",u,d,l.getLocal("idx2")),l.call(i+"_mul",c,l.getLocal("pwm"),c),l.setLocal("j",l.i32_add(l.getLocal("j"),l.i32_const(1))),l.br(0))),l.setLocal("k",l.i32_add(l.getLocal("k"),l.getLocal("m"))),l.br(0))),l.setLocal("s",l.i32_add(l.getLocal("s"),l.i32_const(1))),l.br(0))),l.call(e+"__fftFinal",l.getLocal("px"),l.getLocal("bits"),l.getLocal("reverse"),l.getLocal("mulFactor")))}(),function(){const a=t.addFunction(e+"__log2");a.addParam("n","i32"),a.setReturnType("i32"),a.addLocal("bits","i32"),a.addLocal("aux","i32");const i=a.getCodeBuilder();a.addCode(i.setLocal("aux",i.i32_shr_u(i.getLocal("n"),i.i32_const(1)))),a.addCode(i.setLocal("bits",i.i32_const(0))),a.addCode(i.block(i.loop(i.br_if(1,i.i32_eqz(i.getLocal("aux"))),i.setLocal("aux",i.i32_shr_u(i.getLocal("aux"),i.i32_const(1))),i.setLocal("bits",i.i32_add(i.getLocal("bits"),i.i32_const(1))),i.br(0)))),a.addCode(i.if(i.i32_ne(i.getLocal("n"),i.i32_shl(i.i32_const(1),i.getLocal("bits"))),i.unreachable())),a.addCode(i.if(i.i32_gt_u(i.getLocal("bits"),i.i32_const(c)),i.unreachable())),a.addCode(i.getLocal("bits"))}(),v(),function(){const a=t.addFunction(e+"_ifft");a.addParam("px","i32"),a.addParam("n","i32"),a.addLocal("bits","i32"),a.addLocal("pInv2","i32");const i=a.getCodeBuilder();a.addCode(i.setLocal("bits",i.call(e+"__log2",i.getLocal("n"))),i.setLocal("pInv2",i.i32_add(i.i32_const(L),i.i32_mul(i.getLocal("bits"),i.i32_const(n)))),i.call(e+"_rawfft",i.getLocal("px"),i.getLocal("bits"),i.i32_const(1),i.getLocal("pInv2")))}(),function(){const s=t.addFunction(e+"_fftJoin");s.addParam("pBuff1","i32"),s.addParam("pBuff2","i32"),s.addParam("n","i32"),s.addParam("first","i32"),s.addParam("inc","i32"),s.addLocal("idx1","i32"),s.addLocal("idx2","i32"),s.addLocal("i","i32");const l=s.getCodeBuilder(),c=l.i32_const(t.alloc(n)),d=l.i32_const(t.alloc(r)),u=l.i32_const(t.alloc(r));s.addCode(l.call(i+"_copy",l.getLocal("first"),c),l.setLocal("i",l.i32_const(0)),l.block(l.loop(l.br_if(1,l.i32_eq(l.getLocal("i"),l.getLocal("n"))),l.setLocal("idx1",l.i32_add(l.getLocal("pBuff1"),l.i32_mul(l.getLocal("i"),l.i32_const(r)))),l.setLocal("idx2",l.i32_add(l.getLocal("pBuff2"),l.i32_mul(l.getLocal("i"),l.i32_const(r)))),l.call(o,l.getLocal("idx2"),c,d),l.call(a+"_copy",l.getLocal("idx1"),u),l.call(a+"_add",u,d,l.getLocal("idx1")),l.call(a+"_sub",u,d,l.getLocal("idx2")),l.call(i+"_mul",c,l.getLocal("inc"),c),l.setLocal("i",l.i32_add(l.getLocal("i"),l.i32_const(1))),l.br(0))))}(),function(){const s=t.addFunction(e+"_fftJoinExt");s.addParam("pBuff1","i32"),s.addParam("pBuff2","i32"),s.addParam("n","i32"),s.addParam("first","i32"),s.addParam("inc","i32"),s.addParam("totalBits","i32"),s.addLocal("idx1","i32"),s.addLocal("idx2","i32"),s.addLocal("i","i32"),s.addLocal("pShiftToM","i32");const l=s.getCodeBuilder(),c=l.i32_const(t.alloc(n)),d=l.i32_const(t.alloc(r));s.addCode(l.setLocal("pShiftToM",l.i32_add(l.i32_const(A),l.i32_mul(l.getLocal("totalBits"),l.i32_const(n)))),l.call(i+"_copy",l.getLocal("first"),c),l.setLocal("i",l.i32_const(0)),l.block(l.loop(l.br_if(1,l.i32_eq(l.getLocal("i"),l.getLocal("n"))),l.setLocal("idx1",l.i32_add(l.getLocal("pBuff1"),l.i32_mul(l.getLocal("i"),l.i32_const(r)))),l.setLocal("idx2",l.i32_add(l.getLocal("pBuff2"),l.i32_mul(l.getLocal("i"),l.i32_const(r)))),l.call(a+"_add",l.getLocal("idx1"),l.getLocal("idx2"),d),l.call(o,l.getLocal("idx2"),l.getLocal("pShiftToM"),l.getLocal("idx2")),l.call(a+"_add",l.getLocal("idx1"),l.getLocal("idx2"),l.getLocal("idx2")),l.call(o,l.getLocal("idx2"),c,l.getLocal("idx2")),l.call(a+"_copy",d,l.getLocal("idx1")),l.call(i+"_mul",c,l.getLocal("inc"),c),l.setLocal("i",l.i32_add(l.getLocal("i"),l.i32_const(1))),l.br(0))))}(),function(){const s=t.addFunction(e+"_fftJoinExtInv");s.addParam("pBuff1","i32"),s.addParam("pBuff2","i32"),s.addParam("n","i32"),s.addParam("first","i32"),s.addParam("inc","i32"),s.addParam("totalBits","i32"),s.addLocal("idx1","i32"),s.addLocal("idx2","i32"),s.addLocal("i","i32"),s.addLocal("pShiftToM","i32"),s.addLocal("pSConst","i32");const l=s.getCodeBuilder(),c=l.i32_const(t.alloc(n)),d=l.i32_const(t.alloc(r));s.addCode(l.setLocal("pShiftToM",l.i32_add(l.i32_const(A),l.i32_mul(l.getLocal("totalBits"),l.i32_const(n)))),l.setLocal("pSConst",l.i32_add(l.i32_const(I),l.i32_mul(l.getLocal("totalBits"),l.i32_const(n)))),l.call(i+"_copy",l.getLocal("first"),c),l.setLocal("i",l.i32_const(0)),l.block(l.loop(l.br_if(1,l.i32_eq(l.getLocal("i"),l.getLocal("n"))),l.setLocal("idx1",l.i32_add(l.getLocal("pBuff1"),l.i32_mul(l.getLocal("i"),l.i32_const(r)))),l.setLocal("idx2",l.i32_add(l.getLocal("pBuff2"),l.i32_mul(l.getLocal("i"),l.i32_const(r)))),l.call(o,l.getLocal("idx2"),c,d),l.call(a+"_sub",l.getLocal("idx1"),d,l.getLocal("idx2")),l.call(o,l.getLocal("idx2"),l.getLocal("pSConst"),l.getLocal("idx2")),l.call(o,l.getLocal("idx1"),l.getLocal("pShiftToM"),l.getLocal("idx1")),l.call(a+"_sub",d,l.getLocal("idx1"),l.getLocal("idx1")),l.call(o,l.getLocal("idx1"),l.getLocal("pSConst"),l.getLocal("idx1")),l.call(i+"_mul",c,l.getLocal("inc"),c),l.setLocal("i",l.i32_add(l.getLocal("i"),l.i32_const(1))),l.br(0))))}(),function(){const s=t.addFunction(e+"_fftMix");s.addParam("pBuff","i32"),s.addParam("n","i32"),s.addParam("exp","i32"),s.addLocal("nGroups","i32"),s.addLocal("nPerGroup","i32"),s.addLocal("nPerGroupDiv2","i32"),s.addLocal("pairOffset","i32"),s.addLocal("idx1","i32"),s.addLocal("idx2","i32"),s.addLocal("i","i32"),s.addLocal("j","i32"),s.addLocal("pwm","i32");const l=s.getCodeBuilder(),c=l.i32_const(t.alloc(n)),d=l.i32_const(t.alloc(r)),u=l.i32_const(t.alloc(r));s.addCode(l.setLocal("nPerGroup",l.i32_shl(l.i32_const(1),l.getLocal("exp"))),l.setLocal("nPerGroupDiv2",l.i32_shr_u(l.getLocal("nPerGroup"),l.i32_const(1))),l.setLocal("nGroups",l.i32_shr_u(l.getLocal("n"),l.getLocal("exp"))),l.setLocal("pairOffset",l.i32_mul(l.getLocal("nPerGroupDiv2"),l.i32_const(r))),l.setLocal("pwm",l.i32_add(l.i32_const(p),l.i32_mul(l.getLocal("exp"),l.i32_const(n)))),l.setLocal("i",l.i32_const(0)),l.block(l.loop(l.br_if(1,l.i32_eq(l.getLocal("i"),l.getLocal("nGroups"))),l.call(i+"_one",c),l.setLocal("j",l.i32_const(0)),l.block(l.loop(l.br_if(1,l.i32_eq(l.getLocal("j"),l.getLocal("nPerGroupDiv2"))),l.setLocal("idx1",l.i32_add(l.getLocal("pBuff"),l.i32_mul(l.i32_add(l.i32_mul(l.getLocal("i"),l.getLocal("nPerGroup")),l.getLocal("j")),l.i32_const(r)))),l.setLocal("idx2",l.i32_add(l.getLocal("idx1"),l.getLocal("pairOffset"))),l.call(o,l.getLocal("idx2"),c,d),l.call(a+"_copy",l.getLocal("idx1"),u),l.call(a+"_add",u,d,l.getLocal("idx1")),l.call(a+"_sub",u,d,l.getLocal("idx2")),l.call(i+"_mul",c,l.getLocal("pwm"),c),l.setLocal("j",l.i32_add(l.getLocal("j"),l.i32_const(1))),l.br(0))),l.setLocal("i",l.i32_add(l.getLocal("i"),l.i32_const(1))),l.br(0))))}(),function(){const i=t.addFunction(e+"_fftFinal");i.addParam("pBuff","i32"),i.addParam("n","i32"),i.addParam("factor","i32"),i.addLocal("idx1","i32"),i.addLocal("idx2","i32"),i.addLocal("i","i32"),i.addLocal("ndiv2","i32");const n=i.getCodeBuilder(),s=n.i32_const(t.alloc(r));i.addCode(n.setLocal("ndiv2",n.i32_shr_u(n.getLocal("n"),n.i32_const(1))),n.if(n.i32_and(n.getLocal("n"),n.i32_const(1)),n.call(o,n.i32_add(n.getLocal("pBuff"),n.i32_mul(n.getLocal("ndiv2"),n.i32_const(r))),n.getLocal("factor"),n.i32_add(n.getLocal("pBuff"),n.i32_mul(n.getLocal("ndiv2"),n.i32_const(r))))),n.setLocal("i",n.i32_const(0)),n.block(n.loop(n.br_if(1,n.i32_ge_u(n.getLocal("i"),n.getLocal("ndiv2"))),n.setLocal("idx1",n.i32_add(n.getLocal("pBuff"),n.i32_mul(n.getLocal("i"),n.i32_const(r)))),n.setLocal("idx2",n.i32_add(n.getLocal("pBuff"),n.i32_mul(n.i32_sub(n.i32_sub(n.getLocal("n"),n.i32_const(1)),n.getLocal("i")),n.i32_const(r)))),n.call(o,n.getLocal("idx2"),n.getLocal("factor"),s),n.call(o,n.getLocal("idx1"),n.getLocal("factor"),n.getLocal("idx2")),n.call(a+"_copy",s,n.getLocal("idx1")),n.setLocal("i",n.i32_add(n.getLocal("i"),n.i32_const(1))),n.br(0))))}(),function(){const s=t.addFunction(e+"_prepareLagrangeEvaluation");s.addParam("pBuff1","i32"),s.addParam("pBuff2","i32"),s.addParam("n","i32"),s.addParam("first","i32"),s.addParam("inc","i32"),s.addParam("totalBits","i32"),s.addLocal("idx1","i32"),s.addLocal("idx2","i32"),s.addLocal("i","i32"),s.addLocal("pShiftToM","i32"),s.addLocal("pSConst","i32");const l=s.getCodeBuilder(),c=l.i32_const(t.alloc(n)),d=l.i32_const(t.alloc(r));s.addCode(l.setLocal("pShiftToM",l.i32_add(l.i32_const(A),l.i32_mul(l.getLocal("totalBits"),l.i32_const(n)))),l.setLocal("pSConst",l.i32_add(l.i32_const(I),l.i32_mul(l.getLocal("totalBits"),l.i32_const(n)))),l.call(i+"_copy",l.getLocal("first"),c),l.setLocal("i",l.i32_const(0)),l.block(l.loop(l.br_if(1,l.i32_eq(l.getLocal("i"),l.getLocal("n"))),l.setLocal("idx1",l.i32_add(l.getLocal("pBuff1"),l.i32_mul(l.getLocal("i"),l.i32_const(r)))),l.setLocal("idx2",l.i32_add(l.getLocal("pBuff2"),l.i32_mul(l.getLocal("i"),l.i32_const(r)))),l.call(o,l.getLocal("idx1"),l.getLocal("pShiftToM"),d),l.call(a+"_sub",l.getLocal("idx2"),d,d),l.call(a+"_sub",l.getLocal("idx1"),l.getLocal("idx2"),l.getLocal("idx2")),l.call(o,d,l.getLocal("pSConst"),l.getLocal("idx1")),l.call(o,l.getLocal("idx2"),c,l.getLocal("idx2")),l.call(i+"_mul",c,l.getLocal("inc"),c),l.setLocal("i",l.i32_add(l.getLocal("i"),l.i32_const(1))),l.br(0))))}(),t.exportFunction(e+"_fft"),t.exportFunction(e+"_ifft"),t.exportFunction(e+"_rawfft"),t.exportFunction(e+"_fftJoin"),t.exportFunction(e+"_fftJoinExt"),t.exportFunction(e+"_fftJoinExtInv"),t.exportFunction(e+"_fftMix"),t.exportFunction(e+"_fftFinal"),t.exportFunction(e+"_prepareLagrangeEvaluation")},ce=function(t,e,a){const i=8*t.modules[a].n64;return function(){const o=t.addFunction(e+"_zero");o.addParam("px","i32"),o.addParam("n","i32"),o.addLocal("lastp","i32"),o.addLocal("p","i32");const n=o.getCodeBuilder();o.addCode(n.setLocal("p",n.getLocal("px")),n.setLocal("lastp",n.i32_add(n.getLocal("px"),n.i32_mul(n.getLocal("n"),n.i32_const(i)))),n.block(n.loop(n.br_if(1,n.i32_eq(n.getLocal("p"),n.getLocal("lastp"))),n.call(a+"_zero",n.getLocal("p")),n.setLocal("p",n.i32_add(n.getLocal("p"),n.i32_const(i))),n.br(0))))}(),function(){const o=t.addFunction(e+"_constructLC");o.addParam("ppolynomials","i32"),o.addParam("psignals","i32"),o.addParam("nSignals","i32"),o.addParam("pres","i32"),o.addLocal("i","i32"),o.addLocal("j","i32"),o.addLocal("pp","i32"),o.addLocal("ps","i32"),o.addLocal("pd","i32"),o.addLocal("ncoefs","i32");const n=o.getCodeBuilder(),r=n.i32_const(t.alloc(i));o.addCode(n.setLocal("i",n.i32_const(0)),n.setLocal("pp",n.getLocal("ppolynomials")),n.setLocal("ps",n.getLocal("psignals")),n.block(n.loop(n.br_if(1,n.i32_eq(n.getLocal("i"),n.getLocal("nSignals"))),n.setLocal("ncoefs",n.i32_load(n.getLocal("pp"))),n.setLocal("pp",n.i32_add(n.getLocal("pp"),n.i32_const(4))),n.setLocal("j",n.i32_const(0)),n.block(n.loop(n.br_if(1,n.i32_eq(n.getLocal("j"),n.getLocal("ncoefs"))),n.setLocal("pd",n.i32_add(n.getLocal("pres"),n.i32_mul(n.i32_load(n.getLocal("pp")),n.i32_const(i)))),n.setLocal("pp",n.i32_add(n.getLocal("pp"),n.i32_const(4))),n.call(a+"_mul",n.getLocal("ps"),n.getLocal("pp"),r),n.call(a+"_add",r,n.getLocal("pd"),n.getLocal("pd")),n.setLocal("pp",n.i32_add(n.getLocal("pp"),n.i32_const(i))),n.setLocal("j",n.i32_add(n.getLocal("j"),n.i32_const(1))),n.br(0))),n.setLocal("ps",n.i32_add(n.getLocal("ps"),n.i32_const(i))),n.setLocal("i",n.i32_add(n.getLocal("i"),n.i32_const(1))),n.br(0))))}(),t.exportFunction(e+"_zero"),t.exportFunction(e+"_constructLC"),e},de=function(t,e,a){const i=8*t.modules[a].n64;return function(){const o=t.addFunction(e+"_buildABC");o.addParam("pCoefs","i32"),o.addParam("nCoefs","i32"),o.addParam("pWitness","i32"),o.addParam("pA","i32"),o.addParam("pB","i32"),o.addParam("pC","i32"),o.addParam("offsetOut","i32"),o.addParam("nOut","i32"),o.addParam("offsetWitness","i32"),o.addParam("nWitness","i32"),o.addLocal("it","i32"),o.addLocal("ita","i32"),o.addLocal("itb","i32"),o.addLocal("last","i32"),o.addLocal("m","i32"),o.addLocal("c","i32"),o.addLocal("s","i32"),o.addLocal("pOut","i32");const n=o.getCodeBuilder(),r=n.i32_const(t.alloc(i));o.addCode(n.setLocal("ita",n.getLocal("pA")),n.setLocal("itb",n.getLocal("pB")),n.setLocal("last",n.i32_add(n.getLocal("pA"),n.i32_mul(n.getLocal("nOut"),n.i32_const(i)))),n.block(n.loop(n.br_if(1,n.i32_eq(n.getLocal("ita"),n.getLocal("last"))),n.call(a+"_zero",n.getLocal("ita")),n.call(a+"_zero",n.getLocal("itb")),n.setLocal("ita",n.i32_add(n.getLocal("ita"),n.i32_const(i))),n.setLocal("itb",n.i32_add(n.getLocal("itb"),n.i32_const(i))),n.br(0))),n.setLocal("it",n.getLocal("pCoefs")),n.setLocal("last",n.i32_add(n.getLocal("pCoefs"),n.i32_mul(n.getLocal("nCoefs"),n.i32_const(i+12)))),n.block(n.loop(n.br_if(1,n.i32_eq(n.getLocal("it"),n.getLocal("last"))),n.setLocal("s",n.i32_load(n.getLocal("it"),8)),n.if(n.i32_or(n.i32_lt_u(n.getLocal("s"),n.getLocal("offsetWitness")),n.i32_ge_u(n.getLocal("s"),n.i32_add(n.getLocal("offsetWitness"),n.getLocal("nWitness")))),[...n.setLocal("it",n.i32_add(n.getLocal("it"),n.i32_const(i+12))),...n.br(1)]),n.setLocal("m",n.i32_load(n.getLocal("it"))),n.if(n.i32_eq(n.getLocal("m"),n.i32_const(0)),n.setLocal("pOut",n.getLocal("pA")),n.if(n.i32_eq(n.getLocal("m"),n.i32_const(1)),n.setLocal("pOut",n.getLocal("pB")),[...n.setLocal("it",n.i32_add(n.getLocal("it"),n.i32_const(i+12))),...n.br(1)])),n.setLocal("c",n.i32_load(n.getLocal("it"),4)),n.if(n.i32_or(n.i32_lt_u(n.getLocal("c"),n.getLocal("offsetOut")),n.i32_ge_u(n.getLocal("c"),n.i32_add(n.getLocal("offsetOut"),n.getLocal("nOut")))),[...n.setLocal("it",n.i32_add(n.getLocal("it"),n.i32_const(i+12))),...n.br(1)]),n.setLocal("pOut",n.i32_add(n.getLocal("pOut"),n.i32_mul(n.i32_sub(n.getLocal("c"),n.getLocal("offsetOut")),n.i32_const(i)))),n.call(a+"_mul",n.i32_add(n.getLocal("pWitness"),n.i32_mul(n.i32_sub(n.getLocal("s"),n.getLocal("offsetWitness")),n.i32_const(i))),n.i32_add(n.getLocal("it"),n.i32_const(12)),r),n.call(a+"_add",n.getLocal("pOut"),r,n.getLocal("pOut")),n.setLocal("it",n.i32_add(n.getLocal("it"),n.i32_const(i+12))),n.br(0))),n.setLocal("ita",n.getLocal("pA")),n.setLocal("itb",n.getLocal("pB")),n.setLocal("it",n.getLocal("pC")),n.setLocal("last",n.i32_add(n.getLocal("pA"),n.i32_mul(n.getLocal("nOut"),n.i32_const(i)))),n.block(n.loop(n.br_if(1,n.i32_eq(n.getLocal("ita"),n.getLocal("last"))),n.call(a+"_mul",n.getLocal("ita"),n.getLocal("itb"),n.getLocal("it")),n.setLocal("ita",n.i32_add(n.getLocal("ita"),n.i32_const(i))),n.setLocal("itb",n.i32_add(n.getLocal("itb"),n.i32_const(i))),n.setLocal("it",n.i32_add(n.getLocal("it"),n.i32_const(i))),n.br(0))))}(),function(){const o=t.addFunction(e+"_joinABC");o.addParam("pA","i32"),o.addParam("pB","i32"),o.addParam("pC","i32"),o.addParam("n","i32"),o.addParam("pP","i32"),o.addLocal("ita","i32"),o.addLocal("itb","i32"),o.addLocal("itc","i32"),o.addLocal("itp","i32"),o.addLocal("last","i32");const n=o.getCodeBuilder(),r=n.i32_const(t.alloc(i));o.addCode(n.setLocal("ita",n.getLocal("pA")),n.setLocal("itb",n.getLocal("pB")),n.setLocal("itc",n.getLocal("pC")),n.setLocal("itp",n.getLocal("pP")),n.setLocal("last",n.i32_add(n.getLocal("pA"),n.i32_mul(n.getLocal("n"),n.i32_const(i)))),n.block(n.loop(n.br_if(1,n.i32_eq(n.getLocal("ita"),n.getLocal("last"))),n.call(a+"_mul",n.getLocal("ita"),n.getLocal("itb"),r),n.call(a+"_sub",r,n.getLocal("itc"),n.getLocal("itp")),n.setLocal("ita",n.i32_add(n.getLocal("ita"),n.i32_const(i))),n.setLocal("itb",n.i32_add(n.getLocal("itb"),n.i32_const(i))),n.setLocal("itc",n.i32_add(n.getLocal("itc"),n.i32_const(i))),n.setLocal("itp",n.i32_add(n.getLocal("itp"),n.i32_const(i))),n.br(0))))}(),function(){const o=t.addFunction(e+"_batchAdd");o.addParam("pa","i32"),o.addParam("pb","i32"),o.addParam("n","i32"),o.addParam("pr","i32"),o.addLocal("ita","i32"),o.addLocal("itb","i32"),o.addLocal("itr","i32"),o.addLocal("last","i32");const n=o.getCodeBuilder();o.addCode(n.setLocal("ita",n.getLocal("pa")),n.setLocal("itb",n.getLocal("pb")),n.setLocal("itr",n.getLocal("pr")),n.setLocal("last",n.i32_add(n.getLocal("pa"),n.i32_mul(n.getLocal("n"),n.i32_const(i)))),n.block(n.loop(n.br_if(1,n.i32_eq(n.getLocal("ita"),n.getLocal("last"))),n.call(a+"_add",n.getLocal("ita"),n.getLocal("itb"),n.getLocal("itr")),n.setLocal("ita",n.i32_add(n.getLocal("ita"),n.i32_const(i))),n.setLocal("itb",n.i32_add(n.getLocal("itb"),n.i32_const(i))),n.setLocal("itr",n.i32_add(n.getLocal("itr"),n.i32_const(i))),n.br(0))))}(),t.exportFunction(e+"_buildABC"),t.exportFunction(e+"_joinABC"),t.exportFunction(e+"_batchAdd"),e},ue=function(t,e,a,i,o,n,r,s){const l=t.addFunction(e);l.addParam("pIn","i32"),l.addParam("n","i32"),l.addParam("pFirst","i32"),l.addParam("pInc","i32"),l.addParam("pOut","i32"),l.addLocal("pOldFree","i32"),l.addLocal("i","i32"),l.addLocal("pFrom","i32"),l.addLocal("pTo","i32");const c=l.getCodeBuilder(),d=c.i32_const(t.alloc(r));l.addCode(c.setLocal("pFrom",c.getLocal("pIn")),c.setLocal("pTo",c.getLocal("pOut"))),l.addCode(c.call(i+"_copy",c.getLocal("pFirst"),d)),l.addCode(c.setLocal("i",c.i32_const(0)),c.block(c.loop(c.br_if(1,c.i32_eq(c.getLocal("i"),c.getLocal("n"))),c.call(s,c.getLocal("pFrom"),d,c.getLocal("pTo")),c.setLocal("pFrom",c.i32_add(c.getLocal("pFrom"),c.i32_const(o))),c.setLocal("pTo",c.i32_add(c.getLocal("pTo"),c.i32_const(n))),c.call(i+"_mul",d,c.getLocal("pInc"),d),c.setLocal("i",c.i32_add(c.getLocal("i"),c.i32_const(1))),c.br(0)))),t.exportFunction(e)};const ge=d.exports,fe=St,_e=Vt,pe=Ht,he=Wt,me=ee,Le=ne,we=le,be=ce,ye=de,Ae=ue;const Ie=d.exports,Ce=St,xe=Vt,Fe=Ht,ve=Wt,Ee=ee,Be=ne,Se=le,Ge=ce,Pe=de,Oe=ue;var Ue=function(t,e){const a=e||"bn128";if(t.modules[a])return a;const i=ge("21888242871839275222246405745257275088696311157297823662689037894645226208583"),o=ge("21888242871839275222246405745257275088548364400416034343698204186575808495617"),n=Math.floor((i.minus(1).bitLength()-1)/64)+1,r=8*n,s=r,l=r,c=2*l,d=12*l,u=t.alloc(fe.bigInt2BytesLE(o,s)),g=_e(t,i,"f1m");pe(t,o,"fr","frm");const f=t.alloc(fe.bigInt2BytesLE(w(ge(3)),l)),_=Le(t,"g1m","f1m",f);we(t,"frm","frm","frm","frm_mul"),be(t,"pol","frm"),ye(t,"qap","frm");const p=he(t,"f1m_neg","f2m","f1m"),h=t.alloc([...fe.bigInt2BytesLE(w(ge("19485874751759354771024239261021720505790618469301721065564631296452457478373")),l),...fe.bigInt2BytesLE(w(ge("266929791119991161246907387137283842545076965332900288569378510910307636690")),l)]),m=Le(t,"g2m","f2m",h);function L(e,a){const i=t.addFunction(e);i.addParam("pG","i32"),i.addParam("pFr","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder(),n=o.i32_const(t.alloc(r));i.addCode(o.call("frm_fromMontgomery",o.getLocal("pFr"),n),o.call(a,o.getLocal("pG"),n,o.i32_const(r),o.getLocal("pr"))),t.exportFunction(e)}function w(t){return ge(t).times(ge.one.shiftLeft(8*l)).mod(i)}L("g1m_timesFr","g1m_timesScalar"),we(t,"g1m","g1m","frm","g1m_timesFr"),L("g2m_timesFr","g2m_timesScalar"),we(t,"g2m","g2m","frm","g2m_timesFr"),L("g1m_timesFrAffine","g1m_timesScalarAffine"),L("g2m_timesFrAffine","g2m_timesScalarAffine"),Ae(t,"frm_batchApplyKey","fmr","frm",r,r,r,"frm_mul"),Ae(t,"g1m_batchApplyKey","g1m","frm",3*r,3*r,r,"g1m_timesFr"),Ae(t,"g1m_batchApplyKeyMixed","g1m","frm",2*r,3*r,r,"g1m_timesFrAffine"),Ae(t,"g2m_batchApplyKey","g2m","frm",2*r*3,3*r*2,r,"g2m_timesFr"),Ae(t,"g2m_batchApplyKeyMixed","g2m","frm",2*r*2,3*r*2,r,"g2m_timesFrAffine");const 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s=r.getCodeBuilder();for(let a=0;a<6;a++){const i=0==a?s.getLocal("x"):s.i32_add(s.getLocal("x"),s.i32_const(a*c)),u=i,f=s.i32_add(s.getLocal("x"),s.i32_const(a*c+l)),_=0==a?s.getLocal("r"):s.i32_add(s.getLocal("r"),s.i32_const(a*c)),h=_,m=s.i32_add(s.getLocal("r"),s.i32_const(a*c+l)),L=d(o[Math.floor(a/3)][e%12],n[a%3][e%6]),b=t.alloc([...fe.bigInt2BytesLE(w(L[0]),32),...fe.bigInt2BytesLE(w(L[1]),32)]);e%2==1?r.addCode(s.call(g+"_copy",u,h),s.call(g+"_neg",f,m),s.call(p+"_mul",_,s.i32_const(b),_)):r.addCode(s.call(p+"_mul",i,s.i32_const(b),_))}function d(t,e){const a=ge(t[0]),o=ge(t[1]),n=ge(e[0]),r=ge(e[1]),s=[a.times(n).minus(o.times(r)).mod(i),a.times(r).add(o.times(n)).mod(i)];return s[0].isNegative()&&(s[0]=s[0].add(i)),s}}function V(e,i){const o=function(t){let e=t;const a=[];for(;e.gt(ge.zero);){if(e.isOdd()){const t=2-e.mod(4).toJSNumber();a.push(t),e=e.minus(t)}else a.push(0);e=e.shiftRight(1)}return 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i=e.getCodeBuilder(),o=i.getLocal("x"),n=i.i32_add(i.getLocal("x"),i.i32_const(c)),r=i.i32_add(i.getLocal("x"),i.i32_const(2*c)),s=i.i32_add(i.getLocal("x"),i.i32_const(3*c)),l=i.i32_add(i.getLocal("x"),i.i32_const(4*c)),d=i.i32_add(i.getLocal("x"),i.i32_const(5*c)),u=i.getLocal("r"),g=i.i32_add(i.getLocal("r"),i.i32_const(c)),f=i.i32_add(i.getLocal("r"),i.i32_const(2*c)),_=i.i32_add(i.getLocal("r"),i.i32_const(3*c)),h=i.i32_add(i.getLocal("r"),i.i32_const(4*c)),m=i.i32_add(i.getLocal("r"),i.i32_const(5*c)),L=i.i32_const(t.alloc(c)),w=i.i32_const(t.alloc(c)),b=i.i32_const(t.alloc(c)),y=i.i32_const(t.alloc(c)),A=i.i32_const(t.alloc(c)),I=i.i32_const(t.alloc(c)),C=i.i32_const(t.alloc(c)),x=i.i32_const(t.alloc(c));e.addCode(i.call(p+"_mul",o,l,C),i.call(p+"_mul",l,i.i32_const(B),L),i.call(p+"_add",o,L,L),i.call(p+"_add",o,l,x),i.call(p+"_mul",x,L,L),i.call(p+"_mul",i.i32_const(B),C,x),i.call(p+"_add",C,x,x),i.call(p+"_sub",L,x,L),i.call(p+"_add",C,C,w),i.call(p+"_mul",s,r,C),i.call(p+"_mul",r,i.i32_const(B),b),i.call(p+"_add",s,b,b),i.call(p+"_add",s,r,x),i.call(p+"_mul",x,b,b),i.call(p+"_mul",i.i32_const(B),C,x),i.call(p+"_add",C,x,x),i.call(p+"_sub",b,x,b),i.call(p+"_add",C,C,y),i.call(p+"_mul",n,d,C),i.call(p+"_mul",d,i.i32_const(B),A),i.call(p+"_add",n,A,A),i.call(p+"_add",n,d,x),i.call(p+"_mul",x,A,A),i.call(p+"_mul",i.i32_const(B),C,x),i.call(p+"_add",C,x,x),i.call(p+"_sub",A,x,A),i.call(p+"_add",C,C,I),i.call(p+"_sub",L,o,u),i.call(p+"_add",u,u,u),i.call(p+"_add",L,u,u),i.call(p+"_add",w,l,h),i.call(p+"_add",h,h,h),i.call(p+"_add",w,h,h),i.call(p+"_mul",I,i.i32_const(G),x),i.call(p+"_add",x,s,_),i.call(p+"_add",_,_,_),i.call(p+"_add",x,_,_),i.call(p+"_sub",A,r,f),i.call(p+"_add",f,f,f),i.call(p+"_add",A,f,f),i.call(p+"_sub",b,n,g),i.call(p+"_add",g,g,g),i.call(p+"_add",b,g,g),i.call(p+"_add",y,d,m),i.call(p+"_add",m,m,m),i.call(p+"_add",y,m,m))}(),V(N,"w0");const 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i=e.getCodeBuilder(),o=i.getLocal("x"),n=i.getLocal("r"),r=i.i32_const(t.alloc(d)),s=i.i32_const(t.alloc(d)),l=i.i32_const(t.alloc(d)),u=i.i32_const(t.alloc(d)),g=i.i32_const(t.alloc(d)),f=i.i32_const(t.alloc(d)),_=i.i32_const(t.alloc(d)),h=i.i32_const(t.alloc(d)),m=i.i32_const(t.alloc(d)),L=i.i32_const(t.alloc(d)),w=i.i32_const(t.alloc(d)),b=i.i32_const(t.alloc(d)),y=i.i32_const(t.alloc(d)),A=i.i32_const(t.alloc(d)),I=i.i32_const(t.alloc(d)),C=i.i32_const(t.alloc(d)),x=i.i32_const(t.alloc(d)),F=i.i32_const(t.alloc(d)),v=i.i32_const(t.alloc(d)),E=i.i32_const(t.alloc(d)),S=i.i32_const(t.alloc(d));e.addCode(i.call(a+"__cyclotomicExp_w0",o,r),i.call(U+"_conjugate",r,r),i.call(a+"__cyclotomicSquare",r,s),i.call(a+"__cyclotomicSquare",s,l),i.call(U+"_mul",l,s,u),i.call(a+"__cyclotomicExp_w0",u,g),i.call(U+"_conjugate",g,g),i.call(a+"__cyclotomicSquare",g,f),i.call(a+"__cyclotomicExp_w0",f,_),i.call(U+"_conjugate",_,_),i.call(U+"_conjugate",u,h),i.call(U+"_conjugate",_,m),i.call(U+"_mul",m,g,L),i.call(U+"_mul",L,h,w),i.call(U+"_mul",w,s,b),i.call(U+"_mul",w,g,y),i.call(U+"_mul",y,o,A),i.call(a+"__frobeniusMap1",b,I),i.call(U+"_mul",I,A,C),i.call(a+"__frobeniusMap2",w,x),i.call(U+"_mul",x,C,F),i.call(U+"_conjugate",o,v),i.call(U+"_mul",v,b,E),i.call(a+"__frobeniusMap3",E,S),i.call(U+"_mul",S,F,n))}const K=t.alloc(k),H=t.alloc(R);function $(e){const i=t.addFunction(a+"_pairingEq"+e);for(let t=0;tt+(0!=e?1:0)),0),T=6*r,k=3*r*2+(M+Q+1)*q,R=Ie("15132376222941642752");function N(e){const a=[[[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")]],[[Ie("1"),Ie("0")],[Ie("3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760"),Ie("151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027")],[Ie("793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351"),Ie("0")],[Ie("2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530"),Ie("1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257")],[Ie("793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),Ie("0")],[Ie("3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557"),Ie("877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230")],[Ie("4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559786"),Ie("0")],[Ie("151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027"),Ie("3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760")],[Ie("4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),Ie("0")],[Ie("1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257"),Ie("2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530")],[Ie("4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437"),Ie("0")],[Ie("877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230"),Ie("3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557")]]],o=[[[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")]],[[Ie("1"),Ie("0")],[Ie("0"),Ie("4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436")],[Ie("793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),Ie("0")],[Ie("0"),Ie("1")],[Ie("4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),Ie("0")],[Ie("0"),Ie("793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350")]],[[Ie("1"),Ie("0")],[Ie("4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437"),Ie("0")],[Ie("4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),Ie("0")],[Ie("4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559786"),Ie("0")],[Ie("793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),Ie("0")],[Ie("793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351"),Ie("0")]]],n=t.addFunction(O+"_frobeniusMap"+e);n.addParam("x","i32"),n.addParam("r","i32");const c=n.getCodeBuilder();for(let i=0;i<6;i++){const u=0==i?c.getLocal("x"):c.i32_add(c.getLocal("x"),c.i32_const(i*l)),g=u,f=c.i32_add(c.getLocal("x"),c.i32_const(i*l+s)),p=0==i?c.getLocal("r"):c.i32_add(c.getLocal("r"),c.i32_const(i*l)),h=p,L=c.i32_add(c.getLocal("r"),c.i32_const(i*l+s)),w=d(a[Math.floor(i/3)][e%12],o[i%3][e%6]),b=t.alloc([...Ce.bigInt2BytesLE(y(w[0]),r),...Ce.bigInt2BytesLE(y(w[1]),r)]);e%2==1?n.addCode(c.call(_+"_copy",g,h),c.call(_+"_neg",f,L),c.call(m+"_mul",p,c.i32_const(b),p)):n.addCode(c.call(m+"_mul",u,c.i32_const(b),p))}function d(t,e){const a=Ie(t[0]),o=Ie(t[1]),n=Ie(e[0]),r=Ie(e[1]),s=[a.times(n).minus(o.times(r)).mod(i),a.times(r).add(o.times(n)).mod(i)];return s[0].isNegative()&&(s[0]=s[0].add(i)),s}}function D(e,i,o){const n=function(t){let e=t;const a=[];for(;e.gt(Ie.zero);){if(e.isOdd()){const t=2-e.mod(4).toJSNumber();a.push(t),e=e.minus(t)}else a.push(0);e=e.shiftRight(1)}return a}(e).map((t=>-1==t?255:t)),r=t.alloc(n),s=t.addFunction(a+"__cyclotomicExp_"+o);s.addParam("x","i32"),s.addParam("r","i32"),s.addLocal("bit","i32"),s.addLocal("i","i32");const l=s.getCodeBuilder(),d=l.getLocal("x"),u=l.getLocal("r"),g=l.i32_const(t.alloc(c));s.addCode(l.call(O+"_conjugate",d,g),l.call(O+"_one",u),l.if(l.teeLocal("bit",l.i32_load8_s(l.i32_const(n.length-1),r)),l.if(l.i32_eq(l.getLocal("bit"),l.i32_const(1)),l.call(O+"_mul",u,d,u),l.call(O+"_mul",u,g,u))),l.setLocal("i",l.i32_const(n.length-2)),l.block(l.loop(l.call(a+"__cyclotomicSquare",u,u),l.if(l.teeLocal("bit",l.i32_load8_s(l.getLocal("i"),r)),l.if(l.i32_eq(l.getLocal("bit"),l.i32_const(1)),l.call(O+"_mul",u,d,u),l.call(O+"_mul",u,g,u))),l.br_if(1,l.i32_eqz(l.getLocal("i"))),l.setLocal("i",l.i32_sub(l.getLocal("i"),l.i32_const(1))),l.br(0)))),i&&s.addCode(l.call(O+"_conjugate",u,u))}t.modules[a]={n64q:n,n64r:d,n8q:r,n8r:u,pG1gen:I,pG1zero:x,pG1b:p,pG2gen:v,pG2zero:B,pG2b:L,pq:t.modules.f1m.pq,pr:f,pOneT:S,r:o,q:i,prePSize:T,preQSize:k},function(){const e=t.addFunction(P+"_mul1");e.addParam("pA","i32"),e.addParam("pC1","i32"),e.addParam("pR","i32");const a=e.getCodeBuilder(),i=a.getLocal("pA"),o=a.i32_add(a.getLocal("pA"),a.i32_const(2*s)),n=a.i32_add(a.getLocal("pA"),a.i32_const(4*s)),r=a.getLocal("pC1"),l=a.getLocal("pR"),c=a.i32_add(a.getLocal("pR"),a.i32_const(2*s)),d=a.i32_add(a.getLocal("pR"),a.i32_const(4*s)),u=a.i32_const(t.alloc(2*s)),g=a.i32_const(t.alloc(2*s));e.addCode(a.call(m+"_add",i,o,u),a.call(m+"_add",o,n,g),a.call(m+"_mul",o,r,d),a.call(m+"_mul",g,r,l),a.call(m+"_sub",l,d,l),a.call(m+"_mulNR",l,l),a.call(m+"_mul",u,r,c),a.call(m+"_sub",c,d,c))}(),function(){const e=t.addFunction(P+"_mul01");e.addParam("pA","i32"),e.addParam("pC0","i32"),e.addParam("pC1","i32"),e.addParam("pR","i32");const 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this.tm.setBuff(this.pOp1,t),this.tm.setBuff(this.pOp2,e),this.tm.instance.exports[this.prefix+"_inverse"](this.pOp2,this.pOp2),this.tm.instance.exports[this.prefix+"_mul"](this.pOp1,this.pOp2,this.pOp3),this.tm.getBuff(this.pOp3,this.n8)}square(t){return this.op1("_square",t)}isSquare(t){return this.op1Bool("_isSquare",t)}sqrt(t){return this.op1("_sqrt",t)}exp(t,e){return e instanceof Uint8Array||(e=F(S(e))),this.tm.setBuff(this.pOp1,t),this.tm.setBuff(this.pOp2,e),this.tm.instance.exports[this.prefix+"_exp"](this.pOp1,this.pOp2,e.byteLength,this.pOp3),this.tm.getBuff(this.pOp3,this.n8)}isNegative(t){return this.op1Bool("_isNegative",t)}e(t,e){if(t instanceof Uint8Array)return t;let a=S(t,e);O(a)?(a=K(a),it(a,this.p)&&(a=X(a,this.p)),a=j(this.p,a)):it(a,this.p)&&(a=X(a,this.p));const i=Ze(a,this.n8);return this.toMontgomery(i)}toString(t,e){const a=this.fromMontgomery(t),i=I(a,0);return x(i,e)}fromRng(t){let e;const a=new Uint8Array(this.n8);do{e=v;for(let 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Array.from(t,(function(t){return("0"+(255&t).toString(16)).slice(-2)})).join("")},ba.ident=function t(e){if("string"==typeof e){let t=e.split("\n");for(let e=0;eBa[t.type]))],...this.returnType?[1,Ba[this.returnType]]:[0]]}getBody(){const t=this.locals.map((t=>[...Ea.varuint32(t.length),Ba[t.type]])),e=[...Ea.varuint32(this.locals.length),...[].concat(...t),...this.code,11];return[...Ea.varuint32(e.length),...e]}addCode(...t){this.code.push(...[].concat(...t))}getCodeBuilder(){return new va(this)}};const Ga=Sa,Pa=ba;var Oa=class{constructor(){this.functions=[],this.functionIdxByName={},this.nImportFunctions=0,this.nInternalFunctions=0,this.memory={pagesSize:1,moduleName:"env",fieldName:"memory"},this.free=8,this.datas=[],this.modules={},this.exports=[],this.functionsTable=[]}build(){return this._setSignatures(),new 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e=0;e{e.pendingLoads.push({page:t,resolve:a,reject:i})}));return e.__statusPage("After Load request: ",t),a}__statusPage(t,e){const a=[],i=this;if(!i.logHistory)return;a.push("=="+t+" "+e);let o="";for(let t=0;t "+e.history[t][a][i])}_triggerLoad(){const t=this;if(t.reading)return;if(0==t.pendingLoads.length)return;const e=Object.keys(t.pages),a=[];for(let i=0;i0&&(void 0!==t.pages[t.pendingLoads[0].page]||i>0||a.length>0);){const e=t.pendingLoads.shift();if(void 0!==t.pages[e.page]){t.pages[e.page].pendingOps++;const i=a.indexOf(e.page);i>=0&&a.splice(i,1),t.pages[e.page].loading?t.pages[e.page].loading.push(e):e.resolve(),t.__statusPage("After Load (cached): ",e.page)}else{if(i)i--;else{const e=a.shift();t.__statusPage("Before Unload: ",e),t.avBuffs.unshift(t.pages[e]),delete t.pages[e],t.__statusPage("After Unload: ",e)}e.page>=t.totalPages?(t.pages[e.page]=n(),e.resolve(),t.__statusPage("After Load (new): 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l=n,c=i%o.pageSize,d=i+a>o.totalSize?a-(i+a-o.totalSize):a;for(;d>0;){await s[l-n],o.__statusPage("After Await (read): ",l);const i=c+d>o.pageSize?o.pageSize-c:d,r=new Uint8Array(o.pages[l].buff.buffer,o.pages[l].buff.byteOffset+c,i);t.set(r,e+a-d),o.pages[l].pendingOps--,o.__statusPage("After Op done: ",l),d-=i,l++,c=0,o.pendingLoads.length>0&&setImmediate(o._triggerLoad.bind(o))}this.pos=i+a}_tryClose(){const t=this;if(!t.pendingClose)return;t.error&&t.pendingCloseReject(t.error);t._getDirtyPage()>=0||t.writing||t.reading||t.pendingLoads.length>0||t.pendingClose()}close(){const t=this;if(t.pendingClose)throw new Error("Closing the file twice");return new Promise(((e,a)=>{t.pendingClose=e,t.pendingCloseReject=a,t._tryClose()})).then((()=>{t.fd.close()}),(e=>{throw t.fd.close(),e}))}async discard(){await this.close(),await ka.promises.unlink(this.fileName)}async writeULE32(t,e){const a=new Uint8Array(4);new DataView(a.buffer).setUint32(0,t,!0),await this.write(a,e)}async writeUBE32(t,e){const a=new Uint8Array(4);new DataView(a.buffer).setUint32(0,t,!1),await this.write(a,e)}async writeULE64(t,e){const a=new Uint8Array(8),i=new DataView(a.buffer);i.setUint32(0,4294967295&t,!0),i.setUint32(4,Math.floor(t/4294967296),!0),await this.write(a,e)}async readULE32(t){const e=await this.read(4,t);return new Uint32Array(e.buffer)[0]}async readUBE32(t){const e=await this.read(4,t);return new DataView(e.buffer).getUint32(0,!1)}async readULE64(t){const e=await this.read(8,t),a=new Uint32Array(e.buffer);return 4294967296*a[1]+a[0]}async readString(t){const e=this;if(e.pendingClose)throw new Error("Reading a closing file");let a=void 0===t?e.pos:t,i=Math.floor(a/e.pageSize),o=!1,n="";for(;!o;){let t=e._loadPage(i);e._triggerLoad(),await t,e.__statusPage("After Await (read): ",i);let r=a%e.pageSize;const s=new Uint8Array(e.pages[i].buff.buffer,e.pages[i].buff.byteOffset+r,e.pageSize-r);let l=s.findIndex((t=>0===t));o=-1!==l,o?(n+=(new TextDecoder).decode(s.slice(0,l)),e.pos=i*this.pageSize+r+l+1):(n+=(new TextDecoder).decode(s),e.pos=i*this.pageSize+r+s.length),e.pages[i].pendingOps--,e.__statusPage("After Op done: ",i),a=e.pos,i++,e.pendingLoads.length>0&&setImmediate(e._triggerLoad.bind(e))}return n}}const Da=new Uint8Array(4),Va=new DataView(Da.buffer),ja=new Uint8Array(8),Ka=new DataView(ja.buffer);class Ha{constructor(){this.pageSize=16384}_resizeIfNeeded(t){if(t>this.allocSize){const e=Math.max(this.allocSize+(1<<20),Math.floor(1.1*this.allocSize),t),a=new Uint8Array(e);a.set(this.o.data),this.o.data=a,this.allocSize=e}}async write(t,e){if(void 0===e&&(e=this.pos),this.readOnly)throw new Error("Writing a read only file");this._resizeIfNeeded(e+t.byteLength),this.o.data.set(t.slice(),e),e+t.byteLength>this.totalSize&&(this.totalSize=e+t.byteLength),this.pos=e+t.byteLength}async readToBuffer(t,e,a,i){if(void 0===i&&(i=this.pos),this.readOnly&&i+a>this.totalSize)throw new Error("Reading out of bounds");this._resizeIfNeeded(i+a);const o=new Uint8Array(this.o.data.buffer,this.o.data.byteOffset+i,a);t.set(o,e),this.pos=i+a}async read(t,e){const a=new Uint8Array(t);return await this.readToBuffer(a,0,t,e),a}close(){this.o.data.byteLength!=this.totalSize&&(this.o.data=this.o.data.slice(0,this.totalSize))}async discard(){}async writeULE32(t,e){Va.setUint32(0,t,!0),await this.write(Da,e)}async writeUBE32(t,e){Va.setUint32(0,t,!1),await this.write(Da,e)}async writeULE64(t,e){Ka.setUint32(0,4294967295&t,!0),Ka.setUint32(4,Math.floor(t/4294967296),!0),await this.write(ja,e)}async readULE32(t){const e=await this.read(4,t);return new Uint32Array(e.buffer)[0]}async readUBE32(t){const e=await this.read(4,t);return new DataView(e.buffer).getUint32(0,!1)}async readULE64(t){const e=await this.read(8,t),a=new Uint32Array(e.buffer);return 4294967296*a[1]+a[0]}async readString(t){const e=this;let a=void 0===t?e.pos:t;if(a>this.totalSize){if(this.readOnly)throw new Error("Reading out of bounds");this._resizeIfNeeded(t)}const i=new Uint8Array(e.o.data.buffer,a,this.totalSize-a);let o=i.findIndex((t=>0===t)),n="";return-1!==o?(n=(new TextDecoder).decode(i.slice(0,o)),e.pos=a+o+1):e.pos=a,n}}const $a=1<<22;const Za=new Uint8Array(4),Ja=new DataView(Za.buffer),Ya=new Uint8Array(8),Wa=new DataView(Ya.buffer);class Xa{constructor(){this.pageSize=16384}_resizeIfNeeded(t){if(t<=this.totalSize)return;if(this.readOnly)throw new Error("Reading out of file bounds");const e=Math.floor((t-1)/$a)+1;for(let a=Math.max(this.o.data.length-1,0);a0;){const e=o+n>$a?$a-o:n,r=t.slice(t.byteLength-n,t.byteLength-n+e);new Uint8Array(a.o.data[i].buffer,o,e).set(r),n-=e,i++,o=0}this.pos=e+t.byteLength}async readToBuffer(t,e,a,i){const o=this;if(void 0===i&&(i=o.pos),this.readOnly&&i+a>this.totalSize)throw new Error("Reading out of bounds");this._resizeIfNeeded(i+a);let n=Math.floor(i/$a),r=i%$a,s=a;for(;s>0;){const i=r+s>$a?$a-r:s,l=new Uint8Array(o.o.data[n].buffer,r,i);t.set(l,e+a-s),s-=i,n++,r=0}this.pos=i+a}async read(t,e){const a=new Uint8Array(t);return await this.readToBuffer(a,0,t,e),a}close(){}async discard(){}async writeULE32(t,e){Ja.setUint32(0,t,!0),await this.write(Za,e)}async writeUBE32(t,e){Ja.setUint32(0,t,!1),await this.write(Za,e)}async writeULE64(t,e){Wa.setUint32(0,4294967295&t,!0),Wa.setUint32(4,Math.floor(t/4294967296),!0),await this.write(Ya,e)}async readULE32(t){const e=await this.read(4,t);return new Uint32Array(e.buffer)[0]}async readUBE32(t){const e=await this.read(4,t);return new DataView(e.buffer).getUint32(0,!1)}async readULE64(t){const e=await this.read(8,t),a=new Uint32Array(e.buffer);return 4294967296*a[1]+a[0]}async readString(t){const e=this;let a=void 0===t?e.pos:t;if(a>this.totalSize){if(this.readOnly)throw new Error("Reading out of bounds");this._resizeIfNeeded(t)}let i=!1,o="";for(;!i;){let t=Math.floor(a/$a),n=a%$a;if(void 0===e.o.data[t])throw new Error("ERROR");let r=Math.min(2048,e.o.data[t].length-n);const s=new Uint8Array(e.o.data[t].buffer,n,r);let l=s.findIndex((t=>0===t));i=-1!==l,i?(o+=(new TextDecoder).decode(s.slice(0,l)),e.pos=t*$a+n+l+1):(o+=(new TextDecoder).decode(s),e.pos=t*$a+n+s.length),a=e.pos}return o}}async function ti(t,e,a){if("string"==typeof t&&(t={type:"file",fileName:t,cacheSize:e||65536,pageSize:a||8192}),"file"==t.type)return await Ra(t.fileName,1538,t.cacheSize,t.pageSize);if("mem"==t.type)return function(t){const e=t.initialSize||1<<20,a=new Ha;return a.o=t,a.o.data=new Uint8Array(e),a.allocSize=e,a.totalSize=0,a.readOnly=!1,a.pos=0,a}(t);if("bigMem"==t.type)return function(t){const e=t.initialSize||0,a=new Xa;a.o=t;const i=e?Math.floor((e-1)/$a)+1:0;a.o.data=[];for(let t=0;ta)throw new Error("Version not supported");const l=await n.readULE32();let c=[];for(let t=0;t1)throw new Error(t.fileName+": Section Duplicated "+a);t.pos=e[a][0].p,t.readingSection=e[a][0]}async function si(t,e){if(void 0===t.readingSection)throw 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(Entropy): ","");const e=mi.exports(64);e.update(mt.randomBytes(64));const a=new TextEncoder;e.update(a.encode(t));const i=Buffer.from(e.digest()),o=[];for(let t=0;t<8;t++)o[t]=i.readUInt32BE(4*t);return new ht(o)}function ho(t,e){let a,i;e<32?(a=1<>>0,i=1):(a=4294967296,i=1<>>0);let o=t;for(let t=0;t{a[i]=wo(t,e[i])})),a}return"bigint"==typeof e||void 0!==e.eq?e.toString(10):e}async function bo(t,e){await oi(t,1),await t.writeULE32(1),await ni(t);const a=await pi(e.q);await oi(t,2);const i=a.q,o=8*(Math.floor((Ma.bitLength(i)-1)/64)+1),n=a.r,r=8*(Math.floor((Ma.bitLength(n)-1)/64)+1);await t.writeULE32(o),await li(t,i,o),await t.writeULE32(r),await li(t,n,r),await t.writeULE32(e.nVars),await t.writeULE32(e.nPublic),await t.writeULE32(e.domainSize),await yo(t,a,e.vk_alpha_1),await yo(t,a,e.vk_beta_1),await Ao(t,a,e.vk_beta_2),await Ao(t,a,e.vk_gamma_2),await yo(t,a,e.vk_delta_1),await Ao(t,a,e.vk_delta_2),await ni(t)}async function yo(t,e,a){const i=new Uint8Array(2*e.G1.F.n8);e.G1.toRprLEM(i,0,a),await t.write(i)}async function Ao(t,e,a){const i=new Uint8Array(2*e.G2.F.n8);e.G2.toRprLEM(i,0,a),await t.write(i)}async function Io(t,e,a){const i=await t.read(2*e.G1.F.n8),o=e.G1.fromRprLEM(i,0);return a?e.G1.toObject(o):o}async function Co(t,e,a){const i=await t.read(2*e.G2.F.n8),o=e.G2.fromRprLEM(i,0);return a?e.G2.toObject(o):o}async function xo(t,e,a){await ri(t,e,1);const i=await t.readULE32();if(await si(t),1==i)return await async function(t,e,a){const i={protocol:"groth16"};await ri(t,e,2);const o=await t.readULE32();i.n8q=o,i.q=await ci(t,o);const n=await t.readULE32();return i.n8r=n,i.r=await ci(t,n),i.curve=await pi(i.q),i.nVars=await t.readULE32(),i.nPublic=await t.readULE32(),i.domainSize=await t.readULE32(),i.power=co(i.domainSize),i.vk_alpha_1=await Io(t,i.curve,a),i.vk_beta_1=await Io(t,i.curve,a),i.vk_beta_2=await Co(t,i.curve,a),i.vk_gamma_2=await Co(t,i.curve,a),i.vk_delta_1=await Io(t,i.curve,a),i.vk_delta_2=await Co(t,i.curve,a),await si(t),i}(t,e,a);if(2==i)return await async function(t,e,a){const i={protocol:"plonk"};await ri(t,e,2);const o=await t.readULE32();i.n8q=o,i.q=await ci(t,o);const n=await t.readULE32();return i.n8r=n,i.r=await ci(t,n),i.curve=await pi(i.q),i.nVars=await t.readULE32(),i.nPublic=await t.readULE32(),i.domainSize=await t.readULE32(),i.power=co(i.domainSize),i.nAdditions=await t.readULE32(),i.nConstrains=await t.readULE32(),i.k1=await t.read(n),i.k2=await t.read(n),i.Qm=await Io(t,i.curve,a),i.Ql=await Io(t,i.curve,a),i.Qr=await Io(t,i.curve,a),i.Qo=await Io(t,i.curve,a),i.Qc=await Io(t,i.curve,a),i.S1=await Io(t,i.curve,a),i.S2=await Io(t,i.curve,a),i.S3=await Io(t,i.curve,a),i.X_2=await Co(t,i.curve,a),await si(t),i}(t,e,a);throw new Error("Protocol not supported: ")}async function Fo(t,e,a){const i={delta:{}};i.deltaAfter=await Io(t,e,a),i.delta.g1_s=await Io(t,e,a),i.delta.g1_sx=await Io(t,e,a),i.delta.g2_spx=await Co(t,e,a),i.transcript=await t.read(64),i.type=await t.readULE32();const o=await t.readULE32(),n=t.pos;let r=0;for(;t.pos-n0){const e=new Uint8Array(i);await t.writeULE32(e.byteLength),await t.write(e)}else await t.writeULE32(0)}async function Bo(t,e,a){await oi(t,10),await t.write(a.csHash),await t.writeULE32(a.contributions.length);for(let i=0;ithis._memory.length&&this._realloc(Xi+t.length),this._memory.set(t,Xi),Yi.blake2b_update(this.pointer,Xi,Xi+t.length),this},so.prototype.digest=function(t){if(Zi(!1===this.finalized,"Hash instance finalized"),this.finalized=!0,to.push(this.pointer),Yi.blake2b_final(this.pointer),!t||"binary"===t)return this._memory.slice(this.pointer+128,this.pointer+128+this.digestLength);if("string"==typeof t)return Ji.toString(this._memory,t,this.pointer+128,this.pointer+128+this.digestLength);Zi(t instanceof Uint8Array&&t.length>=this.digestLength,"input must be Uint8Array or Buffer");for(var e=0;et()),t):t(new Error("WebAssembly not supported"))},so.prototype.ready=so.ready,so.prototype.getPartialHash=function(){return this._memory.slice(this.pointer,this.pointer+216)},so.prototype.setPartialHash=function(t){this._memory.set(t,this.pointer)};const{stringifyBigInts:Oo}=Ta;async function Uo(t,e,a){const{fd:i,sections:o}=await ai(e,"wtns",2),n=await Po(i,o),{fd:r,sections:s}=await ai(t,"zkey",2),l=await xo(r,s);if("groth16"!=l.protocol)throw new Error("zkey file is not groth16");if(!Ma.eq(l.r,n.q))throw new Error("Curve of the witness does not match the curve of the proving key");if(n.nWitness!=l.nVars)throw new Error(`Invalid witness length. Circuit: ${l.nVars}, witness: ${n.nWitness}`);const c=l.curve,d=c.Fr,u=c.G1,g=c.G2,f=co(l.domainSize);a&&a.debug("Reading Wtns");const _=await ui(i,o,2);a&&a.debug("Reading Coeffs");const p=await ui(r,s,4);a&&a.debug("Building ABC");const[h,m,L]=await async function(t,e,a,i,o){const n=t.Fr.n8,r=12+e.n8r,s=(i.byteLength-4)/r,l=new aa(e.domainSize*n),c=new aa(e.domainSize*n),d=new aa(e.domainSize*n),u=[l,c];for(let e=0;e0;)a.unshift(0),n--;return a}async function Mo(t,e){e=e||{};let a,i=32767,o=!1;for(;!o;)try{a=new WebAssembly.Memory({initial:i}),o=!0}catch(t){if(1===i)throw t;console.warn("Could not allocate "+1024*i*64+" bytes. This may cause severe instability. Trying with "+1024*i*64/2+" bytes"),i=Math.floor(i/2)}const n=await WebAssembly.compile(t);let r,s="",l="",c=1,d=0,u=0;const g=await WebAssembly.instantiate(n,{env:{memory:a},runtime:{exceptionHandler:function(t){let e;throw e=1==t?"Signal not found. ":2==t?"Too many signals set. ":3==t?"Signal already set. ":4==t?"Assert Failed. ":5==t?"Not enough memory. ":6==t?"Input signal array access exceeds the size. ":"Unknown error. ",console.error("ERROR: ",t,s),new Error(e+s)},printErrorMessage:function(){s+=_()+"\n"},writeBufferMessage:function(){const t=_();"\n"===t?(console.log(l),l=""):(""!==l&&(l+=" "),l+=t)},showSharedRWMemory:function(){const t=g.exports.getFieldNumLen32(),e=new Uint32Array(t);for(let a=0;a=2&&(d>=1||u>=7)){""!==l&&(l+=" ");const t=Ma.fromArray(e,4294967296).toString();l+=t}else console.log(Ma.fromArray(e,4294967296))},error:function(t,a,i,o,n,s){let l;throw l=7==t?p(a)+" "+r.getFr(o).toString()+" != "+r.getFr(n).toString()+" "+p(s):9==t?p(a)+" "+r.getFr(o).toString()+" "+p(n):5==t&&e.sym?p(a)+" "+e.sym.labelIdx2Name[n]:p(a)+" "+i+" "+o+" "+n+" "+s,console.log("ERROR: ",t,l),new Error(l)},log:function(t){console.log(r.getFr(t).toString())},logGetSignal:function(t,a){e.logGetSignal&&e.logGetSignal(t,r.getFr(a))},logSetSignal:function(t,a){e.logSetSignal&&e.logSetSignal(t,r.getFr(a))},logStartComponent:function(t){e.logStartComponent&&e.logStartComponent(t)},logFinishComponent:function(t){e.logFinishComponent&&e.logFinishComponent(t)}}});"function"==typeof g.exports.getVersion&&(c=g.exports.getVersion()),"function"==typeof g.exports.getMinorVersion&&(d=g.exports.getMinorVersion()),"function"==typeof g.exports.getPatchVersion&&(u=g.exports.getPatchVersion());const f=e&&(e.sanityCheck||e.logGetSignal||e.logSetSignal||e.logStartComponent||e.logFinishComponent);return r=2===c?new ko(g,f):new To(a,g,f),r;function _(){for(var t="",e=g.exports.getMessageChar();0!=e;)t+=String.fromCharCode(e),e=g.exports.getMessageChar();return t}function p(t){const e=new Uint8Array(a.buffer),i=[];for(let a=0;e[t+a]>0;a++)i.push(e[t+a]);return String.fromCharCode.apply(null,i)}}class To{constructor(t,e,a){this.memory=t,this.i32=new Uint32Array(t.buffer),this.instance=e,this.n32=(this.instance.exports.getFrLen()>>2)-2;const i=this.instance.exports.getPRawPrime(),o=new Array(this.n32);for(let t=0;t>2)+t];this.prime=Ma.fromArray(o,4294967296),this.Fr=new Bt(this.prime),this.mask32=Ma.fromString("FFFFFFFF",16),this.NVars=this.instance.exports.getNVars(),this.n64=Math.floor((this.Fr.bitLength-1)/64)+1,this.R=this.Fr.e(Ma.shiftLeft(1,64*this.n64)),this.RInv=this.Fr.inv(this.R),this.sanityCheck=a}circom_version(){return 1}async _doCalculateWitness(t,e){this.instance.exports.init(this.sanityCheck||e?1:0);const a=this.allocInt(),i=this.allocFr();Object.keys(t).forEach((e=>{const o=qo(e),n=parseInt(o.slice(0,8),16),r=parseInt(o.slice(8,16),16);try{this.instance.exports.getSignalOffset32(a,0,n,r)}catch(t){throw new Error(`Signal ${e} is not an input of the circuit.`)}const s=this.getInt(a),l=zo(t[e]);for(let t=0;t>2]}setInt(t,e){this.i32[t>>2]=e}getFr(t){const e=this,a=t>>2;if(2147483648&e.i32[a+1]){const t=new Array(e.n32);for(let i=0;i>2]=o,void(a.i32[1+(t>>2)]=0)}a.i32[t>>2]=0,a.i32[1+(t>>2)]=2147483648;const n=Ma.toArray(e,4294967296);for(let e=0;e>2)+e]=i>=0?n[i]:0}}}class ko{constructor(t,e){this.instance=t,this.version=this.instance.exports.getVersion(),this.n32=this.instance.exports.getFieldNumLen32(),this.instance.exports.getRawPrime();const a=new Array(this.n32);for(let t=0;t{const a=qo(e),o=parseInt(a.slice(0,8),16),n=parseInt(a.slice(8,16),16),r=zo(t[e]);for(let t=0;t1)throw new Error(t.fileName+": File has more than one header");t.pos=e[1][0].p;const a=await t.readULE32(),i=await t.read(a),o=Ma.fromRprLE(i),n=await pi(o);if(8*n.F1.n64!=a)throw new Error(t.fileName+": Invalid size");const r=await t.readULE32(),s=await t.readULE32();if(t.pos-e[1][0].p!=e[1][0].size)throw new Error("Invalid PTau header size");return{curve:n,power:r,ceremonyPower:s}}function tn(t,e,a,i){const o={tau:{},alpha:{},beta:{}};return o.tau.g1_s=n(),o.tau.g1_sx=n(),o.alpha.g1_s=n(),o.alpha.g1_sx=n(),o.beta.g1_s=n(),o.beta.g1_sx=n(),o.tau.g2_spx=r(),o.alpha.g2_spx=r(),o.beta.g2_spx=r(),o;function n(){let o;return o=i?a.G1.fromRprLEM(t,e):a.G1.fromRprUncompressed(t,e),e+=2*a.G1.F.n8,o}function r(){let o;return o=i?a.G2.fromRprLEM(t,e):a.G2.fromRprUncompressed(t,e),e+=2*a.G2.F.n8,o}}function en(t,e,a,i,o){async function n(i){o?a.G1.toRprLEM(t,e,i):a.G1.toRprUncompressed(t,e,i),e+=2*a.F1.n8}async function r(i){o?a.G2.toRprLEM(t,e,i):a.G2.toRprUncompressed(t,e,i),e+=2*a.F2.n8}return n(i.tau.g1_s),n(i.tau.g1_sx),n(i.alpha.g1_s),n(i.alpha.g1_sx),n(i.beta.g1_s),n(i.beta.g1_sx),r(i.tau.g2_spx),r(i.alpha.g2_spx),r(i.beta.g2_spx),t}async function an(t,e){const a={};a.tauG1=await l(),a.tauG2=await c(),a.alphaG1=await l(),a.betaG1=await l(),a.betaG2=await c(),a.key=await async function(t,e,a){return tn(await t.read(2*e.F1.n8*6+2*e.F2.n8*3),0,e,a)}(t,e,!0),a.partialHash=await t.read(216),a.nextChallenge=await t.read(64),a.type=await t.readULE32();const i=new Uint8Array(2*e.G1.F.n8*6+2*e.G2.F.n8*3);en(i,0,e,a.key,!1);const o=mi.exports(64);o.setPartialHash(a.partialHash),o.update(i),a.responseHash=o.digest();const n=await t.readULE32(),r=t.pos;let s=0;for(;t.pos-r1)throw new Error(t.fileName+": File has more than one contributions section");t.pos=a[7][0].p;const i=await t.readULE32(),o=[];for(let a=0;a0){const e=new Uint8Array(n);await t.writeULE32(e.byteLength),await t.write(e)}else await t.writeULE32(0);async function r(a){e.G1.toRprLEM(i,0,a),await t.write(i)}async function s(a){e.G2.toRprLEM(o,0,a),await t.write(o)}}async function rn(t,e,a){await t.writeULE32(7);const i=t.pos;await t.writeULE64(0),await t.writeULE32(a.length);for(let i=0;i0?u[u.length-1].nextChallenge:sn(c,d,n);const w=await ii(a,"ptau",1,o?7:2);await Wo(w,c,d);const b=await m.read(64);if(go(r,L)&&(L=b,u[u.length-1].nextChallenge=L),!go(b,L))throw new Error("Wrong contribution. this contribution is not based on the previus hash");const y=new mi.exports(64);y.update(b);const A=[];let I;I=await F(m,w,"G1",2,2**d*2-1,[1],"tauG1"),g.tauG1=I[0],I=await F(m,w,"G2",3,2**d,[1],"tauG2"),g.tauG2=I[0],I=await F(m,w,"G1",4,2**d,[0],"alphaG1"),g.alphaG1=I[0],I=await F(m,w,"G1",5,2**d,[0],"betaG1"),g.betaG1=I[0],I=await F(m,w,"G2",6,1,[0],"betaG2"),g.betaG2=I[0],g.partialHash=y.getPartialHash();const C=await m.read(2*c.F1.n8*6+2*c.F2.n8*3);g.key=tn(C,0,c,!1),y.update(new Uint8Array(C));const x=y.digest();if(n&&n.info(uo(x,"Contribution Response Hash imported: ")),o){const t=new mi.exports(64);t.update(x),await v(t,w,"G1",2,2**d*2-1,"tauG1",n),await v(t,w,"G2",3,2**d,"tauG2",n),await v(t,w,"G1",4,2**d,"alphaTauG1",n),await v(t,w,"G1",5,2**d,"betaTauG1",n),await v(t,w,"G2",6,1,"betaG2",n),g.nextChallenge=t.digest(),n&&n.info(uo(g.nextChallenge,"Next Challenge Hash: "))}else g.nextChallenge=r;return u.push(g),await rn(w,c,u),await m.close(),await w.close(),await s.close(),g.nextChallenge;async function F(t,e,a,i,r,s,l){return o?await async function(t,e,a,i,o,r,s){const l=c[a],d=l.F.n8,u=2*l.F.n8,g=[];await oi(e,i);const f=Math.floor((1<<24)/u);A[i]=e.pos;for(let a=0;a=a&&e=e&&o1?l[l.length-2]:c;const u=l[l.length-1];if(e&&e.debug("Validating contribution #"+l[l.length-1].id),!await dn(n,u,d,e))return!1;const g=mi.exports(64);g.update(u.responseHash),e&&e.debug("Verifying powers in tau*G1 section");const f=await b(2,"G1","tauG1",2**r*2-1,[0,1],e);if(a=await cn(n,f.R1,f.R2,n.G2.g,u.tauG2),!0!==a)return e&&e.error("tauG1 section. Powers do not match"),!1;if(!n.G1.eq(n.G1.g,f.singularPoints[0]))return e&&e.error("First element of tau*G1 section must be the generator"),!1;if(!n.G1.eq(u.tauG1,f.singularPoints[1]))return e&&e.error("Second element of tau*G1 section does not match the one in the contribution section"),!1;e&&e.debug("Verifying powers in tau*G2 section");const _=await b(3,"G2","tauG2",2**r,[0,1],e);if(a=await cn(n,n.G1.g,u.tauG1,_.R1,_.R2),!0!==a)return e&&e.error("tauG2 section. Powers do not match"),!1;if(!n.G2.eq(n.G2.g,_.singularPoints[0]))return e&&e.error("First element of tau*G2 section must be the generator"),!1;if(!n.G2.eq(u.tauG2,_.singularPoints[1]))return e&&e.error("Second element of tau*G2 section does not match the one in the contribution section"),!1;e&&e.debug("Verifying powers in alpha*tau*G1 section");const p=await b(4,"G1","alphatauG1",2**r,[0],e);if(a=await cn(n,p.R1,p.R2,n.G2.g,u.tauG2),!0!==a)return e&&e.error("alphaTauG1 section. Powers do not match"),!1;if(!n.G1.eq(u.alphaG1,p.singularPoints[0]))return e&&e.error("First element of alpha*tau*G1 section (alpha*G1) does not match the one in the contribution section"),!1;e&&e.debug("Verifying powers in beta*tau*G1 section");const h=await b(5,"G1","betatauG1",2**r,[0],e);if(a=await cn(n,h.R1,h.R2,n.G2.g,u.tauG2),!0!==a)return e&&e.error("betaTauG1 section. Powers do not match"),!1;if(!n.G1.eq(u.betaG1,h.singularPoints[0]))return e&&e.error("First element of beta*tau*G1 section (beta*G1) does not match the one in the contribution section"),!1;const m=await async function(t){const e=n.G2,a=2*e.F.n8,r=new Uint8Array(a);if(!o[6])throw t.error("File has no BetaG2 section"),new Error("File has no BetaG2 section");if(o[6].length>1)throw t.error("File has no BetaG2 section"),new Error("File has more than one GetaG2 section");i.pos=o[6][0].p;const s=await i.read(a),l=e.fromRprLEM(s);return e.toRprUncompressed(r,0,l),g.update(r),l}(e);if(!n.G2.eq(u.betaG2,m))return e&&e.error("betaG2 element in betaG2 section does not match the one in the contribution section"),!1;const L=g.digest();if(r==s&&!go(L,u.nextChallenge))return e&&e.error("Hash of the values does not match the next challenge of the last contributor in the contributions section"),!1;e&&e.info(uo(L,"Next challenge hash: ")),w(u,d);for(let t=l.length-2;t>=0;t--){const a=l[t],i=t>0?l[t-1]:c;if(!await dn(n,a,i,e))return!1;w(a,i)}if(e&&e.info("-----------------------------------------------------"),o[12]&&o[13]&&o[14]&&o[15]){let t;if(t=await y("G1",2,12,"tauG1",e),!t)return!1;if(t=await y("G2",3,13,"tauG2",e),!t)return!1;if(t=await y("G1",4,14,"alphaTauG1",e),!t)return!1;if(t=await y("G1",5,15,"betaTauG1",e),!t)return!1}else e&&e.warn('this file does not contain phase2 precalculated values. Please run: \n snarkjs "powersoftau preparephase2" to prepare this file to be used in the phase2 ceremony.');return await i.close(),e&&e.info("Powers of Tau Ok!"),!0;function w(t,a){if(!e)return;e.info("-----------------------------------------------------"),e.info(`Contribution #${t.id}: ${t.name||""}`),e.info(uo(t.nextChallenge,"Next Challenge: "));const i=new Uint8Array(2*n.G1.F.n8*6+2*n.G2.F.n8*3);en(i,0,n,t.key,!1);const o=mi.exports(64);o.setPartialHash(t.partialHash),o.update(i);const r=o.digest();e.info(uo(r,"Response Hash:")),e.info(uo(a.nextChallenge,"Response Hash:")),1==t.type&&(e.info(`Beacon generator: ${Lo(t.beaconHash)}`),e.info(`Beacon iterations Exp: ${t.numIterationsExp}`))}async function b(t,e,a,r,s,l){const c=n[e],d=2*c.F.n8;await ri(i,o,t);const u=[];let f=c.zero,_=c.zero,p=c.zero;for(let t=0;t0){const t=c.fromRprLEM(o,0),e=mt.randomBytes(4).readUInt32BE(0,!0);f=c.add(f,c.timesScalar(p,e)),_=c.add(_,c.timesScalar(t,e))}const m=await c.multiExpAffine(o.slice(0,(e-1)*d),h),L=await c.multiExpAffine(o.slice(d),h);f=c.add(f,m),_=c.add(_,L),p=c.fromRprLEM(o,(e-1)*d);for(let a=0;a=t&&i1;)c/=2,d+=1;if(2**d!=l)throw new Error("Invalid file size");o&&o.debug("Power to tau size: "+d);const u=await po(i),g=await ti(a),f=mi.exports(64);for(let t=0;t{o.debug(e+".g1_s: "+t.G1.toString(h[e].g1_s,16)),o.debug(e+".g1_sx: "+t.G1.toString(h[e].g1_sx,16)),o.debug(e+".g2_sp: "+t.G2.toString(h[e].g2_sp,16)),o.debug(e+".g2_spx: "+t.G2.toString(h[e].g2_spx,16)),o.debug("")}));const m=mi.exports(64);await g.write(p),m.update(p),await gn(n,g,m,t,"G1",2**d*2-1,t.Fr.one,h.tau.prvKey,"COMPRESSED","tauG1",o),await gn(n,g,m,t,"G2",2**d,t.Fr.one,h.tau.prvKey,"COMPRESSED","tauG2",o),await gn(n,g,m,t,"G1",2**d,h.alpha.prvKey,h.tau.prvKey,"COMPRESSED","alphaTauG1",o),await gn(n,g,m,t,"G1",2**d,h.beta.prvKey,h.tau.prvKey,"COMPRESSED","betaTauG1",o),await gn(n,g,m,t,"G2",1,h.beta.prvKey,h.tau.prvKey,"COMPRESSED","betaTauG2",o);const L=new Uint8Array(2*t.F1.n8*6+2*t.F2.n8*3);en(L,0,t,h,!1),await g.write(L),m.update(L);const w=m.digest();o&&o.info(uo(w,"Contribution Response Hash: ")),await g.close(),await n.close()},beacon:async function(t,e,a,i,o,n){const r=mo(i);if(0==r.byteLength||2*r.byteLength!=i.length)return n&&n.error("Invalid Beacon Hash. (It must be a valid hexadecimal sequence)"),!1;if(r.length>=256)return n&&n.error("Maximum lenght of beacon hash is 255 bytes"),!1;if((o=parseInt(o))<10||o>63)return n&&n.error("Invalid numIterationsExp. (Must be between 10 and 63)"),!1;await mi.exports.ready();const{fd:s,sections:l}=await ai(t,"ptau",1),{curve:c,power:d,ceremonyPower:u}=await Xo(s,l);if(d!=u)return n&&n.error("This file has been reduced. You cannot contribute into a reduced file."),!1;l[12]&&n&&n.warn("Contributing into a file that has phase2 calculated. You will have to prepare phase2 again.");const g=await on(s,c,l),f={name:a,type:1,numIterationsExp:o,beaconHash:r};let _;_=g.length>0?g[g.length-1].nextChallenge:sn(c,d,n),f.key=ln(c,_,r,o);const p=new mi.exports(64);p.update(_);const h=await ii(e,"ptau",1,7);await Wo(h,c,d);const m=[];let L;L=await A(2,"G1",2**d*2-1,c.Fr.e(1),f.key.tau.prvKey,"tauG1",n),f.tauG1=L[1],L=await A(3,"G2",2**d,c.Fr.e(1),f.key.tau.prvKey,"tauG2",n),f.tauG2=L[1],L=await A(4,"G1",2**d,f.key.alpha.prvKey,f.key.tau.prvKey,"alphaTauG1",n),f.alphaG1=L[0],L=await A(5,"G1",2**d,f.key.beta.prvKey,f.key.tau.prvKey,"betaTauG1",n),f.betaG1=L[0],L=await A(6,"G2",1,f.key.beta.prvKey,f.key.tau.prvKey,"betaTauG2",n),f.betaG2=L[0],f.partialHash=p.getPartialHash();const w=new Uint8Array(2*c.F1.n8*6+2*c.F2.n8*3);en(w,0,c,f.key,!1),p.update(new Uint8Array(w));const b=p.digest();n&&n.info(uo(b,"Contribution Response Hash imported: "));const y=new mi.exports(64);return y.update(b),await I(h,"G1",2,2**d*2-1,"tauG1",n),await I(h,"G2",3,2**d,"tauG2",n),await I(h,"G1",4,2**d,"alphaTauG1",n),await I(h,"G1",5,2**d,"betaTauG1",n),await I(h,"G2",6,1,"betaG2",n),f.nextChallenge=y.digest(),n&&n.info(uo(f.nextChallenge,"Next Challenge Hash: ")),g.push(f),await rn(h,c,g),await s.close(),await h.close(),b;async function A(t,e,a,i,o,n,r){const d=[];s.pos=l[t][0].p,await oi(h,t),m[t]=h.pos;const u=c[e],g=2*u.F.n8,f=Math.floor((1<<20)/g);let _=i;for(let t=0;t0?d[d.length-1].nextChallenge:sn(s,l,o),u.key=Yo(s,g,f);const _=new mi.exports(64);_.update(g);const p=await ii(e,"ptau",1,7);await Wo(p,s,l);const h=[];let m;m=await y(2,"G1",2**l*2-1,s.Fr.e(1),u.key.tau.prvKey,"tauG1"),u.tauG1=m[1],m=await y(3,"G2",2**l,s.Fr.e(1),u.key.tau.prvKey,"tauG2"),u.tauG2=m[1],m=await y(4,"G1",2**l,u.key.alpha.prvKey,u.key.tau.prvKey,"alphaTauG1"),u.alphaG1=m[0],m=await y(5,"G1",2**l,u.key.beta.prvKey,u.key.tau.prvKey,"betaTauG1"),u.betaG1=m[0],m=await y(6,"G2",1,u.key.beta.prvKey,u.key.tau.prvKey,"betaTauG2"),u.betaG2=m[0],u.partialHash=_.getPartialHash();const L=new Uint8Array(2*s.F1.n8*6+2*s.F2.n8*3);en(L,0,s,u.key,!1),_.update(new Uint8Array(L));const w=_.digest();o&&o.info(uo(w,"Contribution Response Hash imported: "));const b=new mi.exports(64);return b.update(w),await A(p,"G1",2,2**l*2-1,"tauG1"),await A(p,"G2",3,2**l,"tauG2"),await A(p,"G1",4,2**l,"alphaTauG1"),await A(p,"G1",5,2**l,"betaTauG1"),await A(p,"G2",6,1,"betaG2"),u.nextChallenge=b.digest(),o&&o.info(uo(u.nextChallenge,"Next Challenge Hash: ")),d.push(u),await rn(p,s,d),await n.close(),await p.close(),w;async function y(t,e,a,i,l,c){const d=[];n.pos=r[t][0].p,await oi(p,t),h[t]=p.pos;const u=s[e],g=2*u.F.n8,f=Math.floor((1<<20)/g);let m=i;for(let t=0;t=this.length&&(this.length=t+1),!0}getKeys(){const t=new mn;for(let e=0;e1<<20?new mn:[];for(let t=0;t1<<20?new mn:[];for(let t=0;t1<<20?new mn:[];for(let t=0;t{let i="";return Object.keys(a).forEach((o=>{let n=e.varIdx2Name[o];"one"==n&&(n="");let r=t.curve.Fr.toString(a[o]);"1"==r&&(r=""),"-1"==r&&(r="-"),""!=i&&"-"!=r[0]&&(r="+"+r),""!=i&&(r=" "+r),i=i+r+n})),i},n=`[ ${o(i[0])} ] * [ ${o(i[1])} ] - [ ${o(i[2])} ] = 0`;a&&a.info(n)}},info:async function(t,e){const a=await bn(t);return Ma.eq(a.prime,An)?e&&e.info("Curve: bn-128"):Ma.eq(a.prime,yn)?e&&e.info("Curve: bls12-381"):e&&e.info(`Unknown Curve. Prime: ${Ma.toString(a.prime)}`),e&&e.info(`# of Wires: ${a.nVars}`),e&&e.info(`# of Constraints: ${a.nConstraints}`),e&&e.info(`# of Private Inputs: ${a.nPrvInputs}`),e&&e.info(`# of Public Inputs: ${a.nPubInputs}`),e&&e.info(`# of Labels: ${a.nLabels}`),e&&e.info(`# of Outputs: ${a.nOutputs}`),a},exportJson:async function(t,e){const a=await bn(t,!0,!0,!0,e),i=a.curve.Fr;return delete a.curve,delete a.F,wo(i,a)}});async function Cn(t){const e={labelIdx2Name:["one"],varIdx2Name:["one"],componentIdx2Name:[]},a=await ei(t),i=await a.read(a.totalSize),o=new TextDecoder("utf-8").decode(i).split("\n");for(let t=0;t=this.length&&(this.length=t+1),!0}getKeys(){const t=new Sn;for(let e=0;el)return i&&i.error(`circuit too big for this power of tau ceremony. ${u.nConstraints}*2 > 2**${l}`),-1;if(!r[12])return i&&i.error("Powers of tau is not prepared."),-1;const h=u.nOutputs+u.nPubInputs,m=2**p;await oi(g,1),await g.writeULE32(1),await ni(g),await oi(g,2);const L=s.q,w=8*(Math.floor((Ma.bitLength(L)-1)/64)+1),b=s.r,y=8*(Math.floor((Ma.bitLength(b)-1)/64)+1),A=Ma.mod(Ma.shl(1,8*y),b),I=s.Fr.e(Ma.mod(Ma.mul(A,A),b));let C,x,F;await g.writeULE32(w),await li(g,L,w),await g.writeULE32(y),await li(g,b,y),await g.writeULE32(u.nVars),await g.writeULE32(h),await g.writeULE32(m),C=await n.read(f,r[4][0].p),await g.write(C),C=await s.G1.batchLEMtoU(C),o.update(C),x=await n.read(f,r[5][0].p),await g.write(x),x=await s.G1.batchLEMtoU(x),o.update(x),F=await n.read(_,r[6][0].p),await g.write(F),F=await s.G2.batchLEMtoU(F),o.update(F);const v=new Uint8Array(f);s.G1.toRprLEM(v,0,s.G1.g);const E=new Uint8Array(_);s.G2.toRprLEM(E,0,s.G2.g);const B=new Uint8Array(f);s.G1.toRprUncompressed(B,0,s.G1.g);const S=new Uint8Array(_);s.G2.toRprUncompressed(S,0,s.G2.g),await g.write(E),await g.write(v),await g.write(E),o.update(S),o.update(B),o.update(S),await ni(g),i&&i.info("Reading r1cs");let G=await ui(c,d,2);const P=new Sn(u.nVars),O=new Sn(u.nVars),U=new Sn(u.nVars),z=new Sn(u.nVars-h-1),q=new Array(h+1);i&&i.info("Reading tauG1");let Q=await ui(n,r,12,(m-1)*f,m*f);i&&i.info("Reading tauG2");let M=await ui(n,r,13,(m-1)*_,m*_);i&&i.info("Reading alphatauG1");let T=await ui(n,r,14,(m-1)*f,m*f);i&&i.info("Reading betatauG1");let k=await ui(n,r,15,(m-1)*f,m*f);await async function(){const t=new Uint8Array(12+s.Fr.n8),e=new DataView(t.buffer),a=new Uint8Array(s.Fr.n8);s.Fr.toRprLE(a,0,s.Fr.e(1));let o=0;function n(){const t=G.slice(o,o+4);o+=4;return new DataView(t.buffer).getUint32(0,!0)}const r=new Sn;for(let t=0;t=0?s.Fr.fromRprLE(G.slice(i[3],i[3]+s.Fr.n8),0):s.Fr.fromRprLE(a,0);const n=s.Fr.mul(o,I);s.Fr.toRprLE(t,12,n),l.set(t,d),d+=t.length}await g.write(l),await ni(g)}(),await N(3,"G1",q,"IC"),await async function(){await oi(g,9);const t=new aa(m*f);if(p(i&&i.debug(`Writing points end ${n}: ${d}/${a.length}`),t)))),c+=o,t++}const d=await Promise.all(l);for(let t=0;t32768?(f=new aa(p*n),_=new aa(p*s.Fr.n8)):(f=new Uint8Array(p*n),_=new Uint8Array(p*s.Fr.n8));let h=0,m=0;const L=[Q,M,T,k],w=new Uint8Array(s.Fr.n8);s.Fr.toRprLE(w,0,s.Fr.e(1));let b=0;for(let t=0;t=0?_.set(G.slice(e[t][o][2],e[t][o][2]+s.Fr.n8),b*s.Fr.n8):_.set(w,b*s.Fr.n8),b++;if(e.length>1){const t=[];t.push({cmd:"ALLOCSET",var:0,buff:f}),t.push({cmd:"ALLOCSET",var:1,buff:_}),t.push({cmd:"ALLOC",var:2,len:e.length*r}),h=0,m=0;let a=0;for(let i=0;i=0;t--){const e=d.contributions[t];i&&i.info("-------------------------"),i&&i.info(uo(e.contributionHash,`contribution #${t+1} ${e.name?e.name:""}:`)),1==e.type&&(i&&i.info(`Beacon generator: ${Lo(e.beaconHash)}`),i&&i.info(`Beacon iterations Exp: ${e.numIterationsExp}`))}return i&&i.info("-------------------------"),i&&i.info("ZKey Ok!"),!0;async function L(t,e){const a=2*l.G1.F.n8,i=t.byteLength/a,o=l.tm.concurrency,n=Math.floor(i/o),r=[];for(let a=0;ag.contributions.length)return o&&o.error("The impoerted file does not include new contributions"),!1;for(let t=0;t=256)return n&&n.error("Maximum lenght of beacon hash is 255 bytes"),!1;if((o=parseInt(o))<10||o>63)return n&&n.error("Invalid numIterationsExp. (Must be between 10 and 63)"),!1;const{fd:s,sections:l}=await ai(t,"zkey",2),c=await xo(s,l);if("groth16"!=c.protocol)throw new Error("zkey file is not groth16");const d=await pi(c.q),u=await vo(s,d,l),g=await ii(e,"zkey",1,10),f=await ho(r,o),_=mi.exports(64);_.update(u.csHash);for(let t=0;t>5,this.byteCount=this.blockCount<<2,this.outputBlocks=a>>5,this.extraBytes=(31&a)>>3;for(var i=0;i<50;++i)this.s[i]=0}function G(t,e,a){S.call(this,t,e,a)}S.prototype.update=function(e){if(this.finalized)throw new Error("finalize already called");var a,i=typeof e;if("string"!==i){if("object"!==i)throw new Error(t);if(null===e)throw new Error(t);if(n&&e.constructor===ArrayBuffer)e=new Uint8Array(e);else if(!(Array.isArray(e)||n&&ArrayBuffer.isView(e)))throw new Error(t);a=!0}for(var o,r,s=this.blocks,c=this.byteCount,d=e.length,u=this.blockCount,g=0,f=this.s;g>2]|=e[g]<>2]|=r<>2]|=(192|r>>6)<>2]|=(128|63&r)<=57344?(s[o>>2]|=(224|r>>12)<>2]|=(128|r>>6&63)<>2]|=(128|63&r)<>2]|=(240|r>>18)<>2]|=(128|r>>12&63)<>2]|=(128|r>>6&63)<>2]|=(128|63&r)<=c){for(this.start=o-c,this.block=s[u],o=0;o>=8);a>0;)o.unshift(a),a=255&(t>>=8),++i;return e?o.push(i):o.unshift(i),this.update(o),o.length},S.prototype.encodeString=function(e){var a,i=typeof e;if("string"!==i){if("object"!==i)throw new Error(t);if(null===e)throw new Error(t);if(n&&e.constructor===ArrayBuffer)e=new Uint8Array(e);else if(!(Array.isArray(e)||n&&ArrayBuffer.isView(e)))throw new Error(t);a=!0}var o=0,r=e.length;if(a)o=r;else for(var s=0;s=57344?o+=3:(l=65536+((1023&l)<<10|1023&e.charCodeAt(++s)),o+=4)}return o+=this.encode(8*o),this.update(e),o},S.prototype.bytepad=function(t,e){for(var a=this.encode(e),i=0;i>2]|=this.padding[3&e],this.lastByteIndex===this.byteCount)for(t[0]=t[a],e=1;e>4&15]+r[15&t]+r[t>>12&15]+r[t>>8&15]+r[t>>20&15]+r[t>>16&15]+r[t>>28&15]+r[t>>24&15];s%e==0&&(P(a),n=0)}return o&&(t=a[n],l+=r[t>>4&15]+r[15&t],o>1&&(l+=r[t>>12&15]+r[t>>8&15]),o>2&&(l+=r[t>>20&15]+r[t>>16&15])),l},S.prototype.arrayBuffer=function(){this.finalize();var t,e=this.blockCount,a=this.s,i=this.outputBlocks,o=this.extraBytes,n=0,r=0,s=this.outputBits>>3;t=o?new ArrayBuffer(i+1<<2):new ArrayBuffer(s);for(var l=new Uint32Array(t);r>8&255,l[t+2]=e>>16&255,l[t+3]=e>>24&255;s%a==0&&P(i)}return n&&(t=s<<2,e=i[r],l[t]=255&e,n>1&&(l[t+1]=e>>8&255),n>2&&(l[t+2]=e>>16&255)),l},G.prototype=new S,G.prototype.finalize=function(){return this.encode(this.outputBits,!0),S.prototype.finalize.call(this)};var P=function(t){var e,a,i,o,n,r,s,l,c,u,g,f,_,p,h,m,L,w,b,y,A,I,C,x,F,v,E,B,S,G,P,O,U,z,q,Q,M,T,k,R,N,D,V,j,K,H,$,Z,J,Y,W,X,tt,et,at,it,ot,nt,rt,st,lt,ct,dt;for(i=0;i<48;i+=2)o=t[0]^t[10]^t[20]^t[30]^t[40],n=t[1]^t[11]^t[21]^t[31]^t[41],r=t[2]^t[12]^t[22]^t[32]^t[42],s=t[3]^t[13]^t[23]^t[33]^t[43],l=t[4]^t[14]^t[24]^t[34]^t[44],c=t[5]^t[15]^t[25]^t[35]^t[45],u=t[6]^t[16]^t[26]^t[36]^t[46],g=t[7]^t[17]^t[27]^t[37]^t[47],e=(f=t[8]^t[18]^t[28]^t[38]^t[48])^(r<<1|s>>>31),a=(_=t[9]^t[19]^t[29]^t[39]^t[49])^(s<<1|r>>>31),t[0]^=e,t[1]^=a,t[10]^=e,t[11]^=a,t[20]^=e,t[21]^=a,t[30]^=e,t[31]^=a,t[40]^=e,t[41]^=a,e=o^(l<<1|c>>>31),a=n^(c<<1|l>>>31),t[2]^=e,t[3]^=a,t[12]^=e,t[13]^=a,t[22]^=e,t[23]^=a,t[32]^=e,t[33]^=a,t[42]^=e,t[43]^=a,e=r^(u<<1|g>>>31),a=s^(g<<1|u>>>31),t[4]^=e,t[5]^=a,t[14]^=e,t[15]^=a,t[24]^=e,t[25]^=a,t[34]^=e,t[35]^=a,t[44]^=e,t[45]^=a,e=l^(f<<1|_>>>31),a=c^(_<<1|f>>>31),t[6]^=e,t[7]^=a,t[16]^=e,t[17]^=a,t[26]^=e,t[27]^=a,t[36]^=e,t[37]^=a,t[46]^=e,t[47]^=a,e=u^(o<<1|n>>>31),a=g^(n<<1|o>>>31),t[8]^=e,t[9]^=a,t[18]^=e,t[19]^=a,t[28]^=e,t[29]^=a,t[38]^=e,t[39]^=a,t[48]^=e,t[49]^=a,p=t[0],h=t[1],H=t[11]<<4|t[10]>>>28,$=t[10]<<4|t[11]>>>28,B=t[20]<<3|t[21]>>>29,S=t[21]<<3|t[20]>>>29,st=t[31]<<9|t[30]>>>23,lt=t[30]<<9|t[31]>>>23,D=t[40]<<18|t[41]>>>14,V=t[41]<<18|t[40]>>>14,z=t[2]<<1|t[3]>>>31,q=t[3]<<1|t[2]>>>31,m=t[13]<<12|t[12]>>>20,L=t[12]<<12|t[13]>>>20,Z=t[22]<<10|t[23]>>>22,J=t[23]<<10|t[22]>>>22,G=t[33]<<13|t[32]>>>19,P=t[32]<<13|t[33]>>>19,ct=t[42]<<2|t[43]>>>30,dt=t[43]<<2|t[42]>>>30,et=t[5]<<30|t[4]>>>2,at=t[4]<<30|t[5]>>>2,Q=t[14]<<6|t[15]>>>26,M=t[15]<<6|t[14]>>>26,w=t[25]<<11|t[24]>>>21,b=t[24]<<11|t[25]>>>21,Y=t[34]<<15|t[35]>>>17,W=t[35]<<15|t[34]>>>17,O=t[45]<<29|t[44]>>>3,U=t[44]<<29|t[45]>>>3,x=t[6]<<28|t[7]>>>4,F=t[7]<<28|t[6]>>>4,it=t[17]<<23|t[16]>>>9,ot=t[16]<<23|t[17]>>>9,T=t[26]<<25|t[27]>>>7,k=t[27]<<25|t[26]>>>7,y=t[36]<<21|t[37]>>>11,A=t[37]<<21|t[36]>>>11,X=t[47]<<24|t[46]>>>8,tt=t[46]<<24|t[47]>>>8,j=t[8]<<27|t[9]>>>5,K=t[9]<<27|t[8]>>>5,v=t[18]<<20|t[19]>>>12,E=t[19]<<20|t[18]>>>12,nt=t[29]<<7|t[28]>>>25,rt=t[28]<<7|t[29]>>>25,R=t[38]<<8|t[39]>>>24,N=t[39]<<8|t[38]>>>24,I=t[48]<<14|t[49]>>>18,C=t[49]<<14|t[48]>>>18,t[0]=p^~m&w,t[1]=h^~L&b,t[10]=x^~v&B,t[11]=F^~E&S,t[20]=z^~Q&T,t[21]=q^~M&k,t[30]=j^~H&Z,t[31]=K^~$&J,t[40]=et^~it&nt,t[41]=at^~ot&rt,t[2]=m^~w&y,t[3]=L^~b&A,t[12]=v^~B&G,t[13]=E^~S&P,t[22]=Q^~T&R,t[23]=M^~k&N,t[32]=H^~Z&Y,t[33]=$^~J&W,t[42]=it^~nt&st,t[43]=ot^~rt<,t[4]=w^~y&I,t[5]=b^~A&C,t[14]=B^~G&O,t[15]=S^~P&U,t[24]=T^~R&D,t[25]=k^~N&V,t[34]=Z^~Y&X,t[35]=J^~W&tt,t[44]=nt^~st&ct,t[45]=rt^~lt&dt,t[6]=y^~I&p,t[7]=A^~C&h,t[16]=G^~O&x,t[17]=P^~U&F,t[26]=R^~D&z,t[27]=N^~V&q,t[36]=Y^~X&j,t[37]=W^~tt&K,t[46]=st^~ct&et,t[47]=lt^~dt&at,t[8]=I^~p&m,t[9]=C^~h&L,t[18]=O^~x&v,t[19]=U^~F&E,t[28]=D^~z&Q,t[29]=V^~q&M,t[38]=X^~j&H,t[39]=tt^~K&$,t[48]=ct^~et&it,t[49]=dt^~at&ot,t[0]^=d[i],t[1]^=d[i+1]};if(o)Mn.exports=A;else for(C=0;C3*l.domainSize-4&&!d.isZero(e))throw new Error("T Polynomial is not divisible")}a&&a.debug("ifft Tz");const F=await d.ifft(I);for(let t=0;t<4*l.domainSize;t++){const e=F.slice(t*g,(t+1)*g);if(t>3*l.domainSize+5){if(!d.isZero(e))throw new Error("Tz Polynomial is not well calculated")}else x.set(d.add(x.slice(t*g,(t+1)*g),e),t*g)}v=x.slice(0,(3*l.domainSize+6)*g);let E=new aa((l.domainSize+1)*g);E.set(x.slice(0,l.domainSize*g),0),E.set(z.b[10],l.domainSize*g);let G=new aa((l.domainSize+1)*g);G.set(x.slice(l.domainSize*g,2*l.domainSize*g),0);const P=d.sub(G.slice(0,g),z.b[10]);G.set(P,0),G.set(z.b[11],l.domainSize*g);let O=new aa((l.domainSize+6)*g);O.set(x.slice(2*l.domainSize*g,(3*l.domainSize+6)*g),0);const U=d.sub(O.slice(0,g),z.b[11]);function q(t,e,a,i,o){let n,r;const s=d.mul(t,e),l=d.mul(t,i),c=d.mul(a,e);n=s;let u=d.mul(a,i);return r=d.add(l,c),o&&(r=d.add(r,d.mul(_[o],u))),[n,r]}function Q(t,e,a,i,o,n,r,s,l){let c,u;const g=d.mul(t,e),f=d.mul(t,n),p=d.mul(o,e),L=d.mul(o,n),w=d.mul(a,i),b=d.mul(a,s),y=d.mul(r,i),A=d.mul(r,s);c=d.mul(g,w);let I=d.mul(p,w);I=d.add(I,d.mul(f,w)),I=d.add(I,d.mul(g,y)),I=d.add(I,d.mul(g,b));let C=d.mul(L,w);C=d.add(C,d.mul(p,y)),C=d.add(C,d.mul(p,b)),C=d.add(C,d.mul(f,y)),C=d.add(C,d.mul(f,b)),C=d.add(C,d.mul(g,A));let x=d.mul(f,A);x=d.add(x,d.mul(p,A)),x=d.add(x,d.mul(L,b)),x=d.add(x,d.mul(L,y));let F=d.mul(L,A);return u=I,l&&(u=d.add(u,d.mul(_[l],C)),u=d.add(u,d.mul(h[l],x)),u=d.add(u,d.mul(m[l],F))),[c,u]}O.set(U,0),B.T1=await N(E,"multiexp T1"),B.T2=await N(G,"multiexp T2"),B.T3=await N(O,"multiexp T3")}(),await async function(){const t=new aa(l.domainSize*g);await r.readToBuffer(t,0,l.domainSize*g,s[7][0].p);const e=new aa(l.domainSize*g);await r.readToBuffer(e,0,l.domainSize*g,s[8][0].p);const i=new aa(l.domainSize*g);await r.readToBuffer(i,0,l.domainSize*g,s[9][0].p);const o=new aa(l.domainSize*g);await r.readToBuffer(o,0,l.domainSize*g,s[10][0].p);const n=new aa(l.domainSize*g);await r.readToBuffer(n,0,l.domainSize*g,s[11][0].p);const c=new aa(l.domainSize*g);await r.readToBuffer(c,0,l.domainSize*g,s[12][0].p+10*l.domainSize*g);const f=new Uint8Array(2*u.F.n8*3);u.toRprUncompressed(f,0,B.T1),u.toRprUncompressed(f,2*u.F.n8,B.T2),u.toRprUncompressed(f,4*u.F.n8,B.T3),z.xi=T(f),a&&a.debug("xi: "+d.toString(z.xi));B.eval_a=k(I,z.xi),B.eval_b=k(C,z.xi),B.eval_c=k(x,z.xi),B.eval_s1=k(P,z.xi),B.eval_s2=k(O,z.xi),B.eval_t=k(v,z.xi),B.eval_zw=k(F,d.mul(z.xi,d.w[l.power]));const _=d.mul(B.eval_a,B.eval_b);let p=B.eval_a;const h=d.mul(z.beta,z.xi);p=d.add(p,h),p=d.add(p,z.gamma);let m=B.eval_b;m=d.add(m,d.mul(h,l.k1)),m=d.add(m,z.gamma);let L=B.eval_c;L=d.add(L,d.mul(h,l.k2)),L=d.add(L,z.gamma);const w=d.mul(d.mul(d.mul(p,m),L),z.alpha);let b=B.eval_a;b=d.add(b,d.mul(z.beta,B.eval_s1)),b=d.add(b,z.gamma);let y=B.eval_b;y=d.add(y,d.mul(z.beta,B.eval_s2)),y=d.add(y,z.gamma);let A=d.mul(b,y);A=d.mul(A,z.beta),A=d.mul(A,B.eval_zw),A=d.mul(A,z.alpha),z.xim=z.xi;for(let t=0;t=0;o--)i=d.add(d.mul(i,e),t.slice(o*g,(o+1)*g));return i}function R(t,e){const a=t.byteLength/g,i=new aa(a*g);i.set(d.zero,(a-1)*g),i.set(t.slice((a-1)*g,a*g),(a-2)*g);for(let o=a-3;o>=0;o--)i.set(d.add(t.slice((o+1)*g,(o+2)*g),d.mul(e,i.slice((o+1)*g,(o+2)*g))),o*g);if(!d.eq(t.slice(0,g),d.mul(d.neg(e),i.slice(0,g))))throw new Error("Polinomial does not divide");return i}async function N(t,e){const i=t.byteLength/g,o=U.slice(0,i*c.G1.F.n8*2),n=await c.Fr.batchFromMontgomery(t);let r=await c.G1.multiExpAffine(o,n,a,e);return r=c.G1.toAffine(r),r}async function D(t,e){e=e||[];let a=await d.ifft(t);const i=new aa(g*l.domainSize*4);i.set(a,0);const o=new aa(g*(l.domainSize+e.length));o.set(a,0);for(let t=0;ta;){const e=o.shift(),a=o.shift(),i=e[0],n=a[0],r=L++,s=t.zero,l=t.neg(e[1]),c=t.neg(a[1]),d=t.one,u=t.zero;h.push([i,n,r,s,l,c,d,u]),m.push([i,n,e[1],a[1]]),o.push([r,t.one])}for(let t=0;t0?i.toString():a!=t.zero?"k":"0"}function l(e,a,l){const c=s(e),d=s(a);if("0"===c||"0"===d)i(l),r(l);else if("k"===c){r(o(a,e[0],l))}else if("k"===d){r(o(e,a[0],l))}else!function(e,a,i){const o=n(e,1),r=n(a,1),s=n(i,1),l=o.s[0],c=r.s[0],d=s.s[0],u=t.mul(o.coefs[0],r.coefs[0]),g=t.mul(o.coefs[0],r.k),f=t.mul(o.k,r.coefs[0]),_=t.neg(s.coefs[0]),p=t.sub(t.mul(o.k,r.k),s.k);h.push([l,c,d,u,g,f,_,p])}(e,a,l)}for(let e=1;e<=w;e++){const a=e,i=0,o=0,n=t.zero,r=t.one,s=t.zero,l=t.zero,c=t.zero;h.push([a,i,o,n,r,s,l,c])}for(let t=0;ts)return i&&i.error(`circuit too big for this power of tau ceremony. ${h.length} > 2**${s}`),-1;if(!n[12])return i&&i.error("Powers of tau is not prepared."),-1;const I=new aa(A*u),C=n[12][0].p+(2**y-1)*u;await o.readToBuffer(I,0,A*u,C);const[x,F]=function(){let t=_.two;for(;a(t,[],y);)_.add(t,_.one);let e=_.add(t,_.one);for(;a(e,[t],y);)_.add(e,_.one);return[t,e];function a(t,e,a){const i=2**a;let o=_.one;for(let n=0;n Date: Fri, 5 May 2023 17:22:02 -0400 Subject: [PATCH 04/32] Add script to generate user address --- openid-zkp-auth/js/circuitutils.js | 2 +- openid-zkp-auth/js/constants.js | 1 + openid-zkp-auth/js/genaddress.js | 21 +++++++++++++++++++++ 3 files changed, 23 insertions(+), 1 deletion(-) create mode 100644 openid-zkp-auth/js/genaddress.js diff --git a/openid-zkp-auth/js/circuitutils.js b/openid-zkp-auth/js/circuitutils.js index 6abaf901b2..f64cffb842 100644 --- a/openid-zkp-auth/js/circuitutils.js +++ b/openid-zkp-auth/js/circuitutils.js @@ -6,6 +6,7 @@ const jwtutils = require('./jwtutils'); const nWidth = require("./constants").inWidth; const outWidth = require("./constants").outWidth; +const pin = require("./constants").pin; const poseidonHash = require('./utils').poseidonHash; // https://datatracker.ietf.org/doc/html/rfc4634#section-4.1 @@ -79,7 +80,6 @@ async function genSubInputs(payload, maxSubLength, payloadIndex) { } const sub_claim_without_last_char = sub_claim.slice(0, -1); - const pin = 123456789; // TODO: Fixed for dev const subject_id_com = await utils.commitSubID(sub_claim_without_last_char, pin, maxSubLength, outWidth); const padded_subject_id = utils.padWithZeroes(sub_claim.split('').map(c => c.charCodeAt()), maxSubLength); diff --git a/openid-zkp-auth/js/constants.js b/openid-zkp-auth/js/constants.js index 6e929372e0..c30e4a1e13 100644 --- a/openid-zkp-auth/js/constants.js +++ b/openid-zkp-auth/js/constants.js @@ -1,6 +1,7 @@ module.exports = { inWidth: 8, outWidth: 253, + pin: 123456789, // TODO: Fixed for dev maskValue: '='.charCodeAt(), google: { maxContentLen: 64*12, diff --git a/openid-zkp-auth/js/genaddress.js b/openid-zkp-auth/js/genaddress.js new file mode 100644 index 0000000000..6e7b84d4f9 --- /dev/null +++ b/openid-zkp-auth/js/genaddress.js @@ -0,0 +1,21 @@ +const utils = require('./utils'); + +const outWidth = require("./constants").outWidth; +const pin = require("./constants").pin; +const maxSubLength = require("./constants").google.maxSubstrLen; + +if (require.main === module) { + const subjectID = '"sub":110463452167303598383'; + + (async () => { + try { + await utils.commitSubID(subjectID, pin, maxSubLength, outWidth).then(function (res) { + console.log(res); + }); + process.exit(0); + } + catch (err) { + console.error("Error:", err.message); + } + })(); +} \ No newline at end of file From c05fbed4e36ad503cc750e296329b386d898061a Mon Sep 17 00:00:00 2001 From: Deepak Maram Date: Tue, 9 May 2023 13:05:21 -0400 Subject: [PATCH 05/32] Minor tweaks --- openid-zkp-auth/README.md | 2 +- .../circuits/helpers/base64.circom | 6 ++-- .../{zkhasher.circom => hasher.circom} | 0 .../circuits/helpers/strings.circom | 2 +- openid-zkp-auth/circuits/jwt_proof_ua.circom | 16 +++++---- openid-zkp-auth/js/circuitutils.js | 2 +- openid-zkp-auth/js/jwtutils.js | 4 +-- openid-zkp-auth/js/verify.js | 2 +- openid-zkp-auth/test/base64.circom.test.js | 2 +- ...r.circom.test.js => hasher.circom.test.js} | 2 +- openid-zkp-auth/test/strings.circom.test.js | 2 +- openid-zkp-auth/test/utils.test.js | 34 +++++++++---------- 12 files changed, 39 insertions(+), 35 deletions(-) rename openid-zkp-auth/circuits/helpers/{zkhasher.circom => hasher.circom} (100%) rename openid-zkp-auth/test/{zkhasher.circom.test.js => hasher.circom.test.js} (99%) diff --git a/openid-zkp-auth/README.md b/openid-zkp-auth/README.md index dfc026d0e0..dbd9651f44 100644 --- a/openid-zkp-auth/README.md +++ b/openid-zkp-auth/README.md @@ -20,7 +20,7 @@ circuits/ misc.circom sha256.circom strings.circom - zkhasher.circom + hasher.circom js/ circuitutils.js # Circuit utilities constants.js # Circuit params diff --git a/openid-zkp-auth/circuits/helpers/base64.circom b/openid-zkp-auth/circuits/helpers/base64.circom index e9598c3596..6e5f3a280a 100644 --- a/openid-zkp-auth/circuits/helpers/base64.circom +++ b/openid-zkp-auth/circuits/helpers/base64.circom @@ -28,7 +28,7 @@ Cost: 73 constraints NOTE: Behavior is undefined otherwise. - out: The 6-bit value */ -template B64URLToBits() { +template Base64URLToBits() { signal input in; signal output out[6]; @@ -122,12 +122,12 @@ template B64URLToBits() { } } -template MultiB64URLToBits(n) { +template MultiBase64URLToBits(n) { signal input in[n]; signal output out[n * 6]; for (var i = 0; i < n; i++) { - var bits[6] = B64URLToBits()(in[i]); + var bits[6] = Base64URLToBits()(in[i]); for (var j = 0; j < 6; j++) { out[i * 6 + j] <== bits[j]; } diff --git a/openid-zkp-auth/circuits/helpers/zkhasher.circom b/openid-zkp-auth/circuits/helpers/hasher.circom similarity index 100% rename from openid-zkp-auth/circuits/helpers/zkhasher.circom rename to openid-zkp-auth/circuits/helpers/hasher.circom diff --git a/openid-zkp-auth/circuits/helpers/strings.circom b/openid-zkp-auth/circuits/helpers/strings.circom index e064585169..6b35f5324e 100644 --- a/openid-zkp-auth/circuits/helpers/strings.circom +++ b/openid-zkp-auth/circuits/helpers/strings.circom @@ -167,7 +167,7 @@ template ASCIISubstrExistsInB64(b64StrLen, maxA) { ); var B_bit_len = maxB * 6; - signal B_in_bits[B_bit_len] <== MultiB64URLToBits(maxB)(B); + signal B_in_bits[B_bit_len] <== MultiBase64URLToBits(maxB)(B); signal input A[maxA]; signal input lenA; diff --git a/openid-zkp-auth/circuits/jwt_proof_ua.circom b/openid-zkp-auth/circuits/jwt_proof_ua.circom index 201a885638..e3124835a3 100644 --- a/openid-zkp-auth/circuits/jwt_proof_ua.circom +++ b/openid-zkp-auth/circuits/jwt_proof_ua.circom @@ -3,7 +3,7 @@ pragma circom 2.1.3; include "helpers/sha256.circom"; include "helpers/misc.circom"; include "helpers/strings.circom"; -include "helpers/zkhasher.circom"; +include "helpers/hasher.circom"; /** JWT Proof: User-agnostic (UA) circuit @@ -13,12 +13,13 @@ JWT Proof: User-agnostic (UA) circuit - maxSubLength: Maximum length of the subject_id (in ascii) Private Inputs: - - content[inCount]: Segments of X as inWidth bit chunks where X is JWT header + JWT payload + SHA-2 padding + zeroes + - content[inCount]: Segments of X as inWidth bit chunks where X is the + decoded JWT header + decoded JWT payload + SHA-2 padding + zeroes - sub_length_ascii: Length of the subject_id in ASCII, e.g., for ',"sub":12345,' it is 13 - subject_id[maxSubLength]: The subject (user) ID for the first sub_length_ascii characters and 0s for the rest - - subject_pin: User's PIN to keep the subject_id private + - subject_pin: A 128-bit PIN to keep the subject_id private - mask[inCount]: A binary mask over X, i.e., mask[i] = 0 or 1 - - randomness: A 248-bit random number to keep the sensitive parts of JWT hidden + - jwt_randomness: A 128-bit random number to keep the sensitive parts of JWT hidden Circuit signals revealed to the verifier along with the ZK proof: - jwt_sha2_hash: The SHA2 hash of the JWT header + JWT payload + SHA-2 padding @@ -103,6 +104,8 @@ template JwtProofUA(maxContentLength, maxSubLength) { signal subject_id_hash <== Hasher(subOutCount)(packed_subject_id); signal input subject_pin; + subject_pin ==> Num2Bits(128); // ensure it is 16 bytes + signal subject_id_com <== Hasher(2)([subject_id_hash, subject_pin]); /** @@ -127,13 +130,14 @@ template JwtProofUA(maxContentLength, maxSubLength) { **/ signal input eph_public_key[2]; signal input max_epoch; - signal input randomness; + signal input jwt_randomness; + jwt_randomness ==> Num2Bits(128); // ensure it is 16 bytes signal nonce <== Hasher(4)([ eph_public_key[0], eph_public_key[1], max_epoch, - randomness + jwt_randomness ]); /** diff --git a/openid-zkp-auth/js/circuitutils.js b/openid-zkp-auth/js/circuitutils.js index f64cffb842..589428cb1a 100644 --- a/openid-zkp-auth/js/circuitutils.js +++ b/openid-zkp-auth/js/circuitutils.js @@ -58,7 +58,7 @@ function genNonceInputs() { const eph_public_key = 0x0d7dab358c8dadaa4efa0049a75b07436555b10a368219bb680f70571349d775n; // TODO: Fixed for dev // const eph_public_key = BigInt("0x" + crypto.randomBytes(32).toString('hex')); const max_epoch = 10000; // TODO: Fixed for dev - const randomness = 50683480294434968413708503290439057629605340925620961559740848568164438166n; // TODO: Fixed for dev + const randomness = 100681567828351849884072155819400689117n; // TODO: Fixed for dev const eph_public_key_0 = eph_public_key / 2n**128n; const eph_public_key_1 = eph_public_key % 2n**128n; diff --git a/openid-zkp-auth/js/jwtutils.js b/openid-zkp-auth/js/jwtutils.js index 858254e9c3..81ddc06c17 100644 --- a/openid-zkp-auth/js/jwtutils.js +++ b/openid-zkp-auth/js/jwtutils.js @@ -224,7 +224,7 @@ function base64UrlStringToBitVector(base64UrlString) { * Like before, we assume tight packing, i.e., both s[i] and s[i + s.length - 1] carry * non-zero bits of the encoded string. */ -function decodeB64URL(s, i) { +function decodeBase64URL(s, i) { if (s.length < 2) { throw new Error(`Input (s = ${s}) is not tightly packed because s.length < 2`); } @@ -272,6 +272,6 @@ module.exports = { getClaimString: getClaimString, indicesOfB64: indicesOfB64, b64Len: b64Len, - decodeB64URL: decodeB64URL, + decodeBase64URL: decodeBase64URL, base64UrlCharTo6Bits: base64UrlCharTo6Bits } \ No newline at end of file diff --git a/openid-zkp-auth/js/verify.js b/openid-zkp-auth/js/verify.js index 58d408d4ba..35f16ef60a 100644 --- a/openid-zkp-auth/js/verify.js +++ b/openid-zkp-auth/js/verify.js @@ -109,7 +109,7 @@ function extractClaims(maskedPayload) { return maskedPayload.split(/=+/).filter(e => e !== '').map( e => { const pos = maskedPayload.indexOf(e); - return jwtutils.decodeB64URL(e, pos % 4); + return jwtutils.decodeBase64URL(e, pos % 4); } ); } diff --git a/openid-zkp-auth/test/base64.circom.test.js b/openid-zkp-auth/test/base64.circom.test.js index b0e08066db..37b5711d1a 100644 --- a/openid-zkp-auth/test/base64.circom.test.js +++ b/openid-zkp-auth/test/base64.circom.test.js @@ -6,7 +6,7 @@ const jwtutils = require("../js/jwtutils"); describe("Base64 checks", () => { before(async() => { - cir = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "base64.circom"), "B64URLToBits"); + cir = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "base64.circom"), "Base64URLToBits"); await cir.loadSymbols(); }); diff --git a/openid-zkp-auth/test/zkhasher.circom.test.js b/openid-zkp-auth/test/hasher.circom.test.js similarity index 99% rename from openid-zkp-auth/test/zkhasher.circom.test.js rename to openid-zkp-auth/test/hasher.circom.test.js index 93fef69309..ef2bd972f6 100644 --- a/openid-zkp-auth/test/zkhasher.circom.test.js +++ b/openid-zkp-auth/test/hasher.circom.test.js @@ -11,7 +11,7 @@ const buildPoseidon = require("circomlibjs").buildPoseidon; describe("Zk-friendly hashing (Poseidon) tests", () => { const P = BigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617"); - const circuit_path = path.join(__dirname, "../circuits/helpers", "zkhasher.circom"); + const circuit_path = path.join(__dirname, "../circuits/helpers", "hasher.circom"); before(async () => { poseidon = await buildPoseidon(); diff --git a/openid-zkp-auth/test/strings.circom.test.js b/openid-zkp-auth/test/strings.circom.test.js index f6d0fe011c..31cdb588b4 100644 --- a/openid-zkp-auth/test/strings.circom.test.js +++ b/openid-zkp-auth/test/strings.circom.test.js @@ -194,7 +194,7 @@ describe("ASCIISubstrExistsInB64" , () => { for (let i = 0; i < decoded_jwts.length; i++) { assert.deepEqual(decoded_jwts[i].indexOf(A) % 4 , i); assert.deepEqual(jwtutils.getClaimString(decoded_jwts[i], 'sub'), A); - assert.deepEqual(jwtutils.decodeB64URL( + assert.deepEqual(jwtutils.decodeBase64URL( jwts[i].slice(indicesB[i], indicesB[i] + lensB[i]), indicesB[i] ), A); diff --git a/openid-zkp-auth/test/utils.test.js b/openid-zkp-auth/test/utils.test.js index 7c2abaaa16..dc9c9df661 100644 --- a/openid-zkp-auth/test/utils.test.js +++ b/openid-zkp-auth/test/utils.test.js @@ -60,7 +60,7 @@ describe("JWT utils tests", () => { const getClaimString = jwtutils.getClaimString; const b64Len = jwtutils.b64Len; const indicesOfB64 = jwtutils.indicesOfB64; - const decodeB64URL = jwtutils.decodeB64URL; + const decodeBase64URL = jwtutils.decodeBase64URL; describe("getClaimString", () => { it("Normal strings", () => { @@ -115,19 +115,19 @@ describe("JWT utils tests", () => { assert.deepEqual(b64Len(9, 2), 13, "Test case 10"); }); - describe("decodeB64URL", () => { + describe("decodeBase64URL", () => { it("Corner case: Two length strings", () => { const input = Buffer.from("H").toString('base64url'); assert.deepEqual(input.length, 2); - assert.deepEqual(decodeB64URL(input, 0), 'H'); + assert.deepEqual(decodeBase64URL(input, 0), 'H'); const input2 = Buffer.from("He").toString('base64url').slice(1); assert.deepEqual(input2.length, 2); - assert.deepEqual(decodeB64URL(input2, 1), 'e'); + assert.deepEqual(decodeBase64URL(input2, 1), 'e'); const input3 = Buffer.from("Hel").toString('base64url').slice(2); assert.deepEqual(input3.length, 2); - assert.deepEqual(decodeB64URL(input3, 2), 'l'); + assert.deepEqual(decodeBase64URL(input3, 2), 'l'); }); it('should decode a tightly packed base64URL string with i % 4 == 0', () => { @@ -135,7 +135,7 @@ describe("JWT utils tests", () => { const i = 0; const expected = "Hello, world!"; - const result = decodeB64URL(input, i); + const result = decodeBase64URL(input, i); assert.deepEqual(result, expected); }); @@ -144,7 +144,7 @@ describe("JWT utils tests", () => { const i = 1; const expected = 'ello, world'; - const result = decodeB64URL(input, i); + const result = decodeBase64URL(input, i); assert.deepEqual(result, expected); }); @@ -153,7 +153,7 @@ describe("JWT utils tests", () => { const i = 2; const expected = 'llo, world'; - const result = decodeB64URL(input, i); + const result = decodeBase64URL(input, i); assert.deepEqual(result, expected); }); @@ -161,7 +161,7 @@ describe("JWT utils tests", () => { const input = Buffer.from("Hello, world").toString('base64url'); try { - decodeB64URL(input, 3); + decodeBase64URL(input, 3); assert.fail(); } catch (e) { assert.include(e.message, "not tightly packed because i%4 = 3"); @@ -173,7 +173,7 @@ describe("JWT utils tests", () => { const i = 2; assert.deepEqual((i + input.length - 1) % 4, 0); try { - decodeB64URL(input, i); + decodeBase64URL(input, i); assert.fail(); } catch (e) { assert.include(e.message, "not tightly packed because (i + s.length - 1)%4 = 0"); @@ -184,10 +184,10 @@ describe("JWT utils tests", () => { // this input has a different base64 and base64url encoding const extendedInput = ',' + 'abc/?' + '}'; const b64 = utils.trimEndByChar(Buffer.from(extendedInput).toString('base64'), '='); - const b64url = Buffer.from(extendedInput).toString('base64url'); - assert.isTrue(b64 !== b64url); + const Base64URL = Buffer.from(extendedInput).toString('base64url'); + assert.isTrue(b64 !== Base64URL); - assert.deepEqual(decodeB64URL(b64url, 0), extendedInput); + assert.deepEqual(decodeBase64URL(Base64URL, 0), extendedInput); }) }) @@ -208,7 +208,7 @@ describe("JWT utils tests", () => { const [start, len] = indicesOfB64(jwt, "sub"); const substr = jwt.slice(start, start + len); - const decoded = decodeB64URL(substr, start % 4); + const decoded = decodeBase64URL(substr, start % 4); assert.deepEqual(decoded, sub_claim_with_last_char); }); }) @@ -222,7 +222,7 @@ describe("JWT utils tests", () => { const [start, len] = indicesOfB64(payload, "sub"); const substr = payload.slice(start, start + len); - const decoded = decodeB64URL(substr, start % 4); + const decoded = decodeBase64URL(substr, start % 4); assert.deepEqual(decoded, sub_claim_with_last_char); }) @@ -235,14 +235,14 @@ describe("JWT utils tests", () => { assert.deepEqual(sub_claim_with_last_char, '"sub":"904448692",'); const [start, len] = indicesOfB64(payload, "sub"); const substr = payload.slice(start, start + len); - const decoded = decodeB64URL(substr, start % 4); + const decoded = decodeBase64URL(substr, start % 4); assert.deepEqual(decoded, sub_claim_with_last_char); const username = getClaimString(decoded_payload, "preferred_username"); assert.deepEqual(username, '"preferred_username":"joyqvq"}'); const [start2, len2] = indicesOfB64(payload, "preferred_username"); const substr2 = payload.slice(start2, start2 + len2); - const decoded2 = decodeB64URL(substr2, start2 % 4); + const decoded2 = decodeBase64URL(substr2, start2 % 4); assert.deepEqual(decoded2, username); }) }) From 8a89f83d1e6ac7eca7f9e3b2c20b2b08e3d59959 Mon Sep 17 00:00:00 2001 From: Deepak Maram Date: Tue, 9 May 2023 19:07:50 -0400 Subject: [PATCH 06/32] Fix range check. Make JS API cleaner to allow user inputs. --- openid-zkp-auth/circuits/jwt_proof_ua.circom | 6 +- openid-zkp-auth/js/circuitutils.js | 86 ++++++++++---------- openid-zkp-auth/js/constants.js | 11 ++- openid-zkp-auth/js/prove.js | 17 +++- openid-zkp-auth/test/main.circom.test.js | 83 ++++++++++--------- openid-zkp-auth/test/misc.circom.test.js | 51 +++++++++++- 6 files changed, 163 insertions(+), 91 deletions(-) diff --git a/openid-zkp-auth/circuits/jwt_proof_ua.circom b/openid-zkp-auth/circuits/jwt_proof_ua.circom index e3124835a3..ba504b5bad 100644 --- a/openid-zkp-auth/circuits/jwt_proof_ua.circom +++ b/openid-zkp-auth/circuits/jwt_proof_ua.circom @@ -104,7 +104,8 @@ template JwtProofUA(maxContentLength, maxSubLength) { signal subject_id_hash <== Hasher(subOutCount)(packed_subject_id); signal input subject_pin; - subject_pin ==> Num2Bits(128); // ensure it is 16 bytes + component size_checker_1 = Num2Bits(128); + size_checker_1.in <== subject_pin; // ensure it is 16 bytes signal subject_id_com <== Hasher(2)([subject_id_hash, subject_pin]); @@ -131,7 +132,8 @@ template JwtProofUA(maxContentLength, maxSubLength) { signal input eph_public_key[2]; signal input max_epoch; signal input jwt_randomness; - jwt_randomness ==> Num2Bits(128); // ensure it is 16 bytes + component size_checker_2 = Num2Bits(128); + size_checker_2.in <== jwt_randomness; // ensure it is 16 bytes signal nonce <== Hasher(4)([ eph_public_key[0], diff --git a/openid-zkp-auth/js/circuitutils.js b/openid-zkp-auth/js/circuitutils.js index 589428cb1a..148c30ea29 100644 --- a/openid-zkp-auth/js/circuitutils.js +++ b/openid-zkp-auth/js/circuitutils.js @@ -4,9 +4,11 @@ const {toBigIntBE} = require('bigint-buffer'); const utils = require('./utils'); const jwtutils = require('./jwtutils'); -const nWidth = require("./constants").inWidth; -const outWidth = require("./constants").outWidth; -const pin = require("./constants").pin; +const constants = require('./constants'); +const claimsToReveal = constants.claimsToReveal; +const devVars = constants.dev; +const nWidth = constants.inWidth; +const outWidth = constants.outWidth; const poseidonHash = require('./utils').poseidonHash; // https://datatracker.ietf.org/doc/html/rfc4634#section-4.1 @@ -54,23 +56,18 @@ function genSha256Inputs(input, nCount, nWidth = 8, inParam = "in") { return { [inParam]: segments, "num_sha2_blocks": num_sha2_blocks }; } -function genNonceInputs() { - const eph_public_key = 0x0d7dab358c8dadaa4efa0049a75b07436555b10a368219bb680f70571349d775n; // TODO: Fixed for dev - // const eph_public_key = BigInt("0x" + crypto.randomBytes(32).toString('hex')); - const max_epoch = 10000; // TODO: Fixed for dev - const randomness = 100681567828351849884072155819400689117n; // TODO: Fixed for dev - - const eph_public_key_0 = eph_public_key / 2n**128n; - const eph_public_key_1 = eph_public_key % 2n**128n; +function genNonceInputs(ephemeral_public_key, max_epoch, jwt_randomness) { + const eph_public_key_0 = ephemeral_public_key / 2n**128n; + const eph_public_key_1 = ephemeral_public_key % 2n**128n; return { "eph_public_key": [eph_public_key_0, eph_public_key_1], "max_epoch": max_epoch, - "randomness": randomness + "jwt_randomness": jwt_randomness }; } - -async function genSubInputs(payload, maxSubLength, payloadIndex) { + +async function genSubInputs(payload, maxSubLength, payloadIndex, userPIN) { const decoded_payload = Buffer.from(payload, 'base64url').toString(); const sub_claim = jwtutils.getClaimString(decoded_payload, "sub"); const [start, len] = jwtutils.indicesOfB64(payload, 'sub'); @@ -80,7 +77,7 @@ async function genSubInputs(payload, maxSubLength, payloadIndex) { } const sub_claim_without_last_char = sub_claim.slice(0, -1); - const subject_id_com = await utils.commitSubID(sub_claim_without_last_char, pin, maxSubLength, outWidth); + const subject_id_com = await utils.commitSubID(sub_claim_without_last_char, userPIN, maxSubLength, outWidth); const padded_subject_id = utils.padWithZeroes(sub_claim.split('').map(c => c.charCodeAt()), maxSubLength); return [{ @@ -88,29 +85,34 @@ async function genSubInputs(payload, maxSubLength, payloadIndex) { "sub_length_ascii": sub_claim.length, "sub_claim_index_b64": start + payloadIndex, "sub_length_b64": len, - "subject_pin": pin + "subject_pin": userPIN }, subject_id_com]; } -async function genJwtProofUAInputs(input, nCount, fields, maxSubLength) { +async function genJwtProofUAInputs( + input, maxContentLen, maxSubLen, + fields = claimsToReveal, ephPK = devVars.ephPK, maxEpoch = devVars.maxEpoch, + jwtRand = devVars.jwtRand, userPIN = devVars.pin +){ // init poseidon const buildPoseidon = require("circomlibjs").buildPoseidon; poseidon = await buildPoseidon(); // set SHA-2 inputs - var inputs = genSha256Inputs(input, nCount, nWidth, "content"); - inputs["content"] = inputs["content"].map(bits => toBigIntBE(utils.bitArray2Buffer(bits))); + var inputs = genSha256Inputs(input, maxContentLen, nWidth, "content"); + inputs.content = inputs.content.map(bits => toBigIntBE(utils.bitArray2Buffer(bits))); // set indices - inputs["payload_start_index"] = input.split('.')[0].length + 1; // 4x+1, 4x, 4x-1 + inputs.payload_start_index = input.split('.')[0].length + 1; // 4x+1, 4x, 4x-1 const payload = input.split('.')[1]; - inputs["payload_len"] = payload.length; + inputs.payload_len = payload.length; // set sub claim inputs const [sub_inputs, subject_id_com] = await genSubInputs( payload, - maxSubLength, - inputs["payload_start_index"] + maxSubLen, + inputs.payload_start_index, + userPIN ); inputs = Object.assign({}, inputs, sub_inputs); @@ -119,42 +121,42 @@ async function genJwtProofUAInputs(input, nCount, fields, maxSubLength) { const jwt_sha2_hash = [hash / 2n**128n, hash % 2n**128n]; // masking - inputs["mask"] = genJwtMask(input, fields).concat(Array(nCount - input.length).fill(1)); - const masked_content = utils.applyMask(inputs["content"], inputs["mask"]); + inputs.mask = genJwtMask(input, fields).concat(Array(maxContentLen - input.length).fill(1)); + const masked_content = utils.applyMask(inputs.content, inputs.mask); const packed = utils.pack(masked_content, 8, outWidth); const masked_content_hash = poseidonHash(packed, poseidon); // set nonce-related inputs - inputs = Object.assign({}, inputs, genNonceInputs()); + inputs = Object.assign({}, inputs, genNonceInputs(ephPK, maxEpoch, jwtRand)); const nonce = poseidonHash([ - inputs["eph_public_key"][0], - inputs["eph_public_key"][1], - inputs["max_epoch"], - inputs["randomness"] + inputs.eph_public_key[0], + inputs.eph_public_key[1], + inputs.max_epoch, + inputs.jwt_randomness ], poseidon); - inputs["all_inputs_hash"] = poseidonHash([ + inputs.all_inputs_hash = poseidonHash([ jwt_sha2_hash[0], jwt_sha2_hash[1], masked_content_hash, - inputs["payload_start_index"], - inputs["payload_len"], - inputs["eph_public_key"][0], - inputs["eph_public_key"][1], - inputs["max_epoch"], + inputs.payload_start_index, + inputs.payload_len, + inputs.eph_public_key[0], + inputs.eph_public_key[1], + inputs.max_epoch, nonce, - inputs["num_sha2_blocks"], + inputs.num_sha2_blocks, subject_id_com ], poseidon); const auxiliary_inputs = { "masked_content": masked_content, "jwt_sha2_hash": jwt_sha2_hash.map(e => e.toString()), - "payload_start_index": inputs["payload_start_index"], - "payload_len": inputs["payload_len"], - "eph_public_key": inputs["eph_public_key"].map(e => e.toString()), - "max_epoch": inputs["max_epoch"], - "num_sha2_blocks": inputs["num_sha2_blocks"], + "payload_start_index": inputs.payload_start_index, + "payload_len": inputs.payload_len, + "eph_public_key": inputs.eph_public_key.map(e => e.toString()), + "max_epoch": inputs.max_epoch, + "num_sha2_blocks": inputs.num_sha2_blocks, "sub_id_com": subject_id_com.toString() } diff --git a/openid-zkp-auth/js/constants.js b/openid-zkp-auth/js/constants.js index c30e4a1e13..d4b7e8b3f7 100644 --- a/openid-zkp-auth/js/constants.js +++ b/openid-zkp-auth/js/constants.js @@ -1,16 +1,21 @@ module.exports = { inWidth: 8, outWidth: 253, - pin: 123456789, // TODO: Fixed for dev + // const eph_public_key = BigInt("0x" + crypto.randomBytes(32).toString('hex')); + dev: { // NOTE: Constants meant to be used for dev + pin: 283089722053851751073973683904920435104n, + ephPK: 0x0d7dab358c8dadaa4efa0049a75b07436555b10a368219bb680f70571349d775n, + maxEpoch: 10000, + jwtRand: 100681567828351849884072155819400689117n + }, maskValue: '='.charCodeAt(), + claimsToReveal: ["iss", "aud", "nonce"], google: { maxContentLen: 64*12, - claimsToReveal: ["iss", "aud", "nonce"], maxSubstrLen: 36, }, twitch: { maxContentLen: 64*8, - claimsToReveal: ["iss", "aud", "nonce"], maxSubstrLen: 21, } } \ No newline at end of file diff --git a/openid-zkp-auth/js/prove.js b/openid-zkp-auth/js/prove.js index 2ace5a807d..d6e3af0460 100644 --- a/openid-zkp-auth/js/prove.js +++ b/openid-zkp-auth/js/prove.js @@ -9,6 +9,8 @@ const verifier = require('./verify'); const GOOGLE = require("../testvectors").google; const TWITCH = require("../testvectors").twitch; +const claimsToReveal = constants.claimsToReveal; + const groth16Prove = async (inputs, wasm_file, zkey_file) => { const { proof, publicSignals } = await snarkjs.groth16.fullProve( inputs, @@ -32,7 +34,7 @@ const groth16Verify = async (proof, public_inputs, vkey_file) => { } // Generate a ZKP for a JWT. If a JWK is provided, the JWT is verified first (sanity check). -const zkOpenIDProve = async (jwt, claimsToReveal, provider, jwk="", write_to_file=false) => { +const zkOpenIDProve = async (jwt, provider, ephPK, maxEpoch, jwtRand, userPIN, jwk="", write_to_file=false) => { // Check if the JWT is a valid OpenID Connect ID Token if a JWK is provided if (jwk) { console.log("Verifying JWT with JWK..."); @@ -48,7 +50,10 @@ const zkOpenIDProve = async (jwt, claimsToReveal, provider, jwk="", write_to_fil } const maxContentLen = constants[provider].maxContentLen; const maxSubLen = constants[provider].maxSubstrLen; - var [inputs, auxiliary_inputs] = await circuit.genJwtProofUAInputs(input, maxContentLen, claimsToReveal, maxSubLen); + var [inputs, auxiliary_inputs] = await circuit.genJwtProofUAInputs( + input, maxContentLen, maxSubLen, claimsToReveal, + ephPK, maxEpoch, jwtRand, userPIN + ); auxiliary_inputs = Object.assign({}, auxiliary_inputs, { "jwt_signature": signature, }); @@ -139,7 +144,13 @@ if (require.main === module) { // Call the processing function with the input string (async () => { try { - const proof = await zkOpenIDProve(jwt, ["iss", "aud", "nonce"], provider, jwk, write_to_file=true); + const ephPK = constants.dev.ephPK; + const maxEpoch = constants.dev.maxEpoch; + const jwtRand = constants.dev.jwtRand; + const pin = constants.dev.pin; + + const proof = await zkOpenIDProve(jwt, provider, + ephPK, maxEpoch, jwtRand, pin, jwk, write_to_file=true); // Print the output to the console diff --git a/openid-zkp-auth/test/main.circom.test.js b/openid-zkp-auth/test/main.circom.test.js index e8d74656f4..84c2af5285 100644 --- a/openid-zkp-auth/test/main.circom.test.js +++ b/openid-zkp-auth/test/main.circom.test.js @@ -6,6 +6,7 @@ const expect = chai.expect; const jwtutils = require("../js/jwtutils"); const circuitutils = require("../js/circuitutils"); const constants = require('../js/constants'); +const devVars = constants.dev; const utils = require("../js/utils"); const verify = require('../js/verify'); @@ -20,19 +21,22 @@ async function genCircuit(maxContentLen, maxSubLength) { ); } -async function genProof(jwt, maxContentLen, claimsToReveal, maxSubLength, circuit, nTamper = false, tamperedClaim = ''){ +async function genProof(circuit, jwt, maxContentLen, maxSubLength, + claimsToReveal = constants.claimsToReveal, ephPK = devVars.ephPK, + maxEpoch = devVars.maxEpoch, jwtRand = devVars.jwtRand, userPIN = devVars.pin +){ const [header, payload, _] = jwt.split('.'); const input = header + '.' + payload; var [inputs, auxiliary_inputs] = await circuitutils.genJwtProofUAInputs( input, maxContentLen, + maxSubLength, claimsToReveal, - maxSubLength + ephPK, + maxEpoch, + jwtRand, + userPIN ); - if (nTamper) { // Tamper with some inputs for testing purposes - inputs["subject_id"] = utils.padWithZeroes(tamperedClaim.split('').map(c => c.charCodeAt()), maxSubLength); - inputs["sub_length_ascii"] = tamperedClaim.length; - } utils.writeJSONToFile(inputs, "inputs.json"); const w = await circuit.calculateWitness(inputs, true); @@ -53,20 +57,18 @@ async function genProof(jwt, maxContentLen, claimsToReveal, maxSubLength, circui describe("JWT Proof", function() { const GOOGLE = require("../testvectors").google; const TWITCH = require("../testvectors").twitch; - + const test_vectors = { google: { jwt: GOOGLE["jwt"], jwk: GOOGLE["jwk"], maxContentLen: constants.google.maxContentLen, - claimsToReveal: constants.google.claimsToReveal, maxSubstrLen: constants.google.maxSubstrLen }, twitch: { jwt: TWITCH["jwt"], jwk: TWITCH["jwk"], maxContentLen: constants.twitch.maxContentLen, - claimsToReveal: constants.twitch.claimsToReveal, maxSubstrLen: constants.twitch.maxSubstrLen } } @@ -83,11 +85,10 @@ describe("JWT Proof", function() { constants["maxSubstrLen"] ); await genProof( + circuit, constants["jwt"], constants["maxContentLen"], - constants["claimsToReveal"], constants["maxSubstrLen"], - circuit ); }); }); @@ -109,7 +110,7 @@ function constructJWT(header, payload) { return b64header + "." + b64payload + "."; } -describe("Tests with crafted JWTs", () => { +describe("Tests with crafted JWTs", () => { const header = { "alg":"RS256", "kid":"827917329", @@ -139,20 +140,23 @@ describe("Tests with crafted JWTs", () => { before(async () => { expect(jwtutils.getClaimString(JSON.stringify(payload), "sub")).equals(claim_string); expect(claim_string.length).at.most(maxSubLength); - expect((await utils.commitSubID(claim_string.slice(0, -1), pin, maxSubLength)).toString()).equals(sub_commitment); + /** NOTE: Skipping a portion of the tests until address format is finalized */ + // expect((await utils.commitSubID(claim_string.slice(0, -1), pin, maxSubLength)).toString()).equals(sub_commitment); console.log("JWT: ", jwt); + }); + + beforeEach(async () => { circuit = await genCircuit(maxContentLen, maxSubLength); }); it("No change", async function() { const [_, aux] = await genProof( + circuit, jwt, maxContentLen, - ["iss", "aud", "nonce"], - maxSubLength, - circuit + maxSubLength ); - expect(aux["sub_id_com"]).equals(sub_commitment); + // expect(aux["sub_id_com"]).equals(sub_commitment); }); it("Sub claim comes first!", async function() { @@ -168,13 +172,12 @@ describe("Tests with crafted JWTs", () => { }; const new_jwt = constructJWT(header, new_payload); const [_, aux] = await genProof( + circuit, new_jwt, maxContentLen, - ["iss", "aud", "nonce"], - maxSubLength, - circuit + maxSubLength ); - expect(aux["sub_id_com"]).equals(sub_commitment); + // expect(aux["sub_id_com"]).equals(sub_commitment); }); it("Sub claim comes last!", async function() { @@ -190,13 +193,12 @@ describe("Tests with crafted JWTs", () => { }; const new_jwt = constructJWT(header, new_payload); const [_, aux] = await genProof( + circuit, new_jwt, maxContentLen, - ["iss", "aud", "nonce"], - maxSubLength, - circuit + maxSubLength ); - expect(aux["sub_id_com"]).equals(sub_commitment); + // expect(aux["sub_id_com"]).equals(sub_commitment); }); it("Order of claims is jumbled!", async function() { @@ -212,13 +214,12 @@ describe("Tests with crafted JWTs", () => { }; const new_jwt = constructJWT(header, new_payload); const [_, aux] = await genProof( + circuit, new_jwt, maxContentLen, - ["iss", "aud", "nonce"], maxSubLength, - circuit ); - expect(aux["sub_id_com"]).equals(sub_commitment); + // expect(aux["sub_id_com"]).equals(sub_commitment); }); it("(Fail) Sub claim has invalid value!", async () => { @@ -246,27 +247,29 @@ describe("Tests with crafted JWTs", () => { // console.log(JSON.stringify(new_payload)); // console.log("New JWT: ", new_jwt); - // The on-chain address should be different + // The on-chain address should be different with a different subject ID const [_, aux] = await genProof( + circuit, new_jwt, maxContentLen, - ["iss", "aud", "nonce"], - maxSubLength, - circuit + maxSubLength ); expect(aux["sub_id_com"]).not.equals(sub_commitment); // Fake the subject_id array to match sub_commitment try { - await genProof( - new_jwt, - maxContentLen, - ["iss", "aud", "nonce"], - maxSubLength, - circuit, - true, - claim_string + const [header, payload, _] = new_jwt.split('.'); + const input = header + '.' + payload; + var [inputs, ] = await circuitutils.genJwtProofUAInputs( + input, + maxContentLen, + maxSubLength ); + const tamperedClaim = claim_string; + inputs["subject_id"] = utils.padWithZeroes(tamperedClaim.split('').map(c => c.charCodeAt()), maxSubLength); + inputs["sub_length_ascii"] = tamperedClaim.length; + await circuit.calculateWitness(inputs, true); + assert.fail("Should have failed"); } catch (error) { assert.include(error.message, 'Error in template ASCIISubstrExistsInB64'); diff --git a/openid-zkp-auth/test/misc.circom.test.js b/openid-zkp-auth/test/misc.circom.test.js index aa00b9dfdf..0e15554064 100644 --- a/openid-zkp-auth/test/misc.circom.test.js +++ b/openid-zkp-auth/test/misc.circom.test.js @@ -7,7 +7,7 @@ const utils = require("../js/utils"); const testutils = require("./testutils"); describe("Num2BitsBE", () => { - before (async () => { + beforeEach(async () => { cir = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "misc.circom"), "Num2BitsBE", [8]); await cir.loadSymbols(); }); @@ -54,6 +54,55 @@ describe("Num2BitsBE", () => { }); }) +// Note: Although it is an offical circuit, tests for illustrative purposes and my own sanity +describe("Num2Bits", () => { + beforeEach(async () => { + cir = await testutils.genMain(path.join(__dirname, "../node_modules/circomlib/circuits", "bitify.circom"), "Num2Bits", [8]); + await cir.loadSymbols(); + }); + + it ("Check 0", async () => { + const witness = await cir.calculateWitness({"in": 0}, true); + await cir.checkConstraints(witness); + const out = testutils.getWitnessArray(witness, cir.symbols, "main.out"); + assert.deepEqual(out, [0n, 0n, 0n, 0n, 0n, 0n, 0n, 0n]); + }); + + it ("Check 1", async () => { + const witness = await cir.calculateWitness({"in": 1}, true); + await cir.checkConstraints(witness); + const out = testutils.getWitnessArray(witness, cir.symbols, "main.out"); + assert.deepEqual(out, [1n, 0n, 0n, 0n, 0n, 0n, 0n, 0n]); + }); + + it ("Check 255", async () => { + const witness = await cir.calculateWitness({"in": 255}, true); + await cir.checkConstraints(witness); + const out = testutils.getWitnessArray(witness, cir.symbols, "main.out"); + assert.deepEqual(out, [1n, 1n, 1n, 1n, 1n, 1n, 1n, 1n]); + }); + + it("Check 256: must throw an error", async () => { + try { + const witness = await cir.calculateWitness({"in": 256}, true); + await cir.checkConstraints(witness); + assert.fail("Should have failed"); + } catch (error) { + assert.include(error.message, "Error in template Num2Bits"); + } + }); + + it ("Check -1: must throw an error", async () => { + try { + const witness = await cir.calculateWitness({"in": -1}, true); + await cir.checkConstraints(witness); + assert.fail("Should have failed"); + } catch (error) { + assert.include(error.message, "Error in template Num2Bits"); + } + }); +}); + describe("Bits2NumBE", () => { before (async () => { cir = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "misc.circom"), "Bits2NumBE", [8]); From f02eb5422e239fa9ad55192661d5ffd7b4c5ae68 Mon Sep 17 00:00:00 2001 From: Deepak Maram Date: Wed, 10 May 2023 17:39:16 -0400 Subject: [PATCH 07/32] Implement Nonce checks --- openid-zkp-auth/circuits/helpers/misc.circom | 2 - .../circuits/helpers/strings.circom | 32 ----- openid-zkp-auth/circuits/jwt_proof_ua.circom | 111 +++++++++++++---- openid-zkp-auth/js/circuitutils.js | 116 +++++++++++++----- openid-zkp-auth/js/constants.js | 2 + openid-zkp-auth/js/decideparams.js | 4 +- openid-zkp-auth/js/gennonce.js | 15 +++ openid-zkp-auth/js/jwtutils.js | 6 +- openid-zkp-auth/test/main.circom.test.js | 56 +++++++-- openid-zkp-auth/test/masking.test.js | 5 +- openid-zkp-auth/test/misc.circom.test.js | 22 +++- openid-zkp-auth/test/strings.circom.test.js | 52 +++++++- openid-zkp-auth/test/utils.test.js | 30 +++-- openid-zkp-auth/testvectors.js | 26 ++-- 14 files changed, 349 insertions(+), 130 deletions(-) create mode 100644 openid-zkp-auth/js/gennonce.js diff --git a/openid-zkp-auth/circuits/helpers/misc.circom b/openid-zkp-auth/circuits/helpers/misc.circom index 72cec228a7..a41bfb4281 100644 --- a/openid-zkp-auth/circuits/helpers/misc.circom +++ b/openid-zkp-auth/circuits/helpers/misc.circom @@ -66,8 +66,6 @@ Range checks: - 0 <= in < 2^n (Like with Num2Bits). **/ template Num2BitsBE(n) { - assert(n <= 252); // n <= log(p) - 2 - signal input in; signal output out[n]; var lc1 = 0; diff --git a/openid-zkp-auth/circuits/helpers/strings.circom b/openid-zkp-auth/circuits/helpers/strings.circom index 6b35f5324e..bc53581fe6 100644 --- a/openid-zkp-auth/circuits/helpers/strings.circom +++ b/openid-zkp-auth/circuits/helpers/strings.circom @@ -90,37 +90,6 @@ template Slice(inLen, outLen) { } } -// in[index: index + length*groupLen] + [0] * (outLen - length)*groupLen -// template SliceGrouped(inLen, outLen, groupLen) { -// signal input in[inLen]; -// signal input index; -// signal input length; - -// signal output out[outLen * groupLen]; - -// // eqs[i] = 1 if i = index, 0 otherwise -// signal eqs[inLen] <== OneBitVector(inLen)(index); -// // lt[i] = 1 if i < length, 0 otherwise -// signal lts[outLen] <== LTBitVector(outLen)(length); - -// signal tmp[outLen]; -// for(var i = 0; i < outLen; i++) { -// var arr[inLen]; -// for (var j = 0; j < inLen; j++) { -// if (j < i) { -// arr[j] = 0; -// } else { -// arr[j] = eqs[j - i]; -// } -// } -// tmp[i] <== EscalarProduct(inLen)(arr, in); - -// for (var j = 0; j < groupLen; j++) { -// out[i * groupLen + j] <== tmp[i] * lts[i]; -// } -// } -// } - /** Checks if an ASCII-encoded substring exists in a Base64-encoded string. @@ -189,7 +158,6 @@ template ASCIISubstrExistsInB64(b64StrLen, maxA) { signal eq_2 <== IsEqual()([expectedOffset, 2]); eq_0 + eq_1 + eq_2 === 1; // ensure offset is 0, 1, or 2 - var T_actual_len = lenA * 8; signal tmp[maxA] <== LTBitVector(maxA)(lenA); signal enabled_0[maxA]; diff --git a/openid-zkp-auth/circuits/jwt_proof_ua.circom b/openid-zkp-auth/circuits/jwt_proof_ua.circom index ba504b5bad..fcfc3f546f 100644 --- a/openid-zkp-auth/circuits/jwt_proof_ua.circom +++ b/openid-zkp-auth/circuits/jwt_proof_ua.circom @@ -5,26 +5,64 @@ include "helpers/misc.circom"; include "helpers/strings.circom"; include "helpers/hasher.circom"; +template NonceChecker(extNonceLength, nonceBitLen) { + signal input expected_nonce; + signal expected_bits[nonceBitLen] <== Num2BitsBE(nonceBitLen)(expected_nonce); + + signal input actual_extended_nonce[extNonceLength]; + + // Checks on prefix + actual_extended_nonce[0] === 34; // '"' + actual_extended_nonce[1] === 110; // 'n' + actual_extended_nonce[2] === 111; // 'o' + actual_extended_nonce[3] === 110; // 'n' + actual_extended_nonce[4] === 99; // 'c' + actual_extended_nonce[5] === 101; // 'e' + actual_extended_nonce[6] === 34; // '"' + actual_extended_nonce[7] === 58; // ':' + actual_extended_nonce[8] === 34; // '"' + + // Checks on last char + var lastchar = actual_extended_nonce[extNonceLength - 1]; + (lastchar - 44) * (lastchar - 125) === 0; // lastchar = ',' or '}' + + // Checks on last but one char + var lastbutone = actual_extended_nonce[extNonceLength - 2]; + lastbutone === 34; + + var value[extNonceLength - 11]; + for (var i = 0; i < extNonceLength - 11; i++) { + value[i] = actual_extended_nonce[i + 9]; + } + + signal actual_bits[6 * (extNonceLength - 11)] <== MultiBase64URLToBits(extNonceLength - 11)(value); + + assert(6 * (extNonceLength - 11) >= nonceBitLen); + for (var i = 0; i < nonceBitLen; i++) { + expected_bits[i] === actual_bits[i]; + } +} + /** JWT Proof: User-agnostic (UA) circuit Construction params: - maxContentLength: Maximum length of the JWT + SHA2 padding in bytes - - maxSubLength: Maximum length of the subject_id (in ascii) + - maxSubLength: Maximum length of the extended_sub (in ascii) Private Inputs: - content[inCount]: Segments of X as inWidth bit chunks where X is the decoded JWT header + decoded JWT payload + SHA-2 padding + zeroes - - sub_length_ascii: Length of the subject_id in ASCII, e.g., for ',"sub":12345,' it is 13 - - subject_id[maxSubLength]: The subject (user) ID for the first sub_length_ascii characters and 0s for the rest - - subject_pin: A 128-bit PIN to keep the subject_id private + - sub_length_ascii: Length of the extended_sub in ASCII, e.g., for ',"sub":12345,' it is 13 + - extended_sub[maxSubLength]: The subject (user) ID for the first sub_length_ascii characters and 0s for the rest + - subject_pin: A 128-bit PIN to keep the extended_sub private - mask[inCount]: A binary mask over X, i.e., mask[i] = 0 or 1 - jwt_randomness: A 128-bit random number to keep the sensitive parts of JWT hidden Circuit signals revealed to the verifier along with the ZK proof: - jwt_sha2_hash: The SHA2 hash of the JWT header + JWT payload + SHA-2 padding - num_sha2_blocks: Number of SHA2 (64-byte) blocks the SHA2-padded JWT consumes - - subject_id_com: H(subject_id || PIN). A binding and hiding commitment to subject_id + - subject_id_com: H(extended_sub || PIN). A binding and hiding commitment to extended_sub - payload_start_index: The index of the payload in the content - payload_len: The length of the payload - masked_content: The content with the sensitive parts masked @@ -53,18 +91,19 @@ template JwtProofUA(maxContentLength, maxSubLength) { ); /** - 2. Checks on subject_id + 2. Checks on extended_sub a) Is it in the JWT payload? - b) Is subject_id[i] == 0 for all i >= sub_length_ascii? - c) Is subject_id[sub_length_ascii - 1] == ',' or '}'? + b) Is extended_sub[i] == 0 for all i >= sub_length_ascii? + c) Is extended_sub[sub_length_ascii - 1] == ',' or '}'? */ var subInWidth = 8; - signal input subject_id[maxSubLength]; + signal input extended_sub[maxSubLength]; signal input sub_length_ascii; // Check if we ensure it is >= 1 and <= maxSubLength + + signal input sub_claim_index_b64; signal input sub_length_b64; signal input payload_start_index; - signal input sub_claim_index_b64; ASCIISubstrExistsInB64( inCount, maxSubLength @@ -72,27 +111,27 @@ template JwtProofUA(maxContentLength, maxSubLength) { b64Str <== content, BIndex <== sub_claim_index_b64, lenB <== sub_length_b64, - A <== subject_id, + A <== extended_sub, lenA <== sub_length_ascii, payloadIndex <== payload_start_index ); - // subject_id[i] == 0 for all i >= sub_length_ascii + // extended_sub[i] == 0 for all i >= sub_length_ascii signal sigt[maxSubLength] <== GTBitVector(maxSubLength)(sub_length_ascii); for (var i = 0; i < maxSubLength; i++) { - sigt[i] * subject_id[i] === 0; + sigt[i] * extended_sub[i] === 0; } - signal lastchar <== SingleMultiplexer(maxSubLength)(subject_id, sub_length_ascii - 1); + signal lastchar <== SingleMultiplexer(maxSubLength)(extended_sub, sub_length_ascii - 1); (lastchar - 44) * (lastchar - 125) === 0; // lastchar = ',' or '}' /** - 3. Calculate commitment to subject_id. We exclude the last character of the subject_id + 3. Calculate commitment to extended_sub. We exclude the last character of the extended_sub because it is either ',' or '}'. **/ // exclude last character - signal subject_id_without_last_char[maxSubLength] <== Slice(maxSubLength, maxSubLength)( - subject_id, + signal extended_sub_without_last_char[maxSubLength] <== Slice(maxSubLength, maxSubLength)( + extended_sub, 0, sub_length_ascii - 1 ); @@ -100,7 +139,7 @@ template JwtProofUA(maxContentLength, maxSubLength) { // pack var outWidth = 253; // field prime is 254 bits var subOutCount = getPackedOutputSize(maxSubLength * subInWidth, outWidth); - signal packed_subject_id[subOutCount] <== Packer(subInWidth, maxSubLength, outWidth, subOutCount)(subject_id_without_last_char); + signal packed_subject_id[subOutCount] <== Packer(subInWidth, maxSubLength, outWidth, subOutCount)(extended_sub_without_last_char); signal subject_id_hash <== Hasher(subOutCount)(packed_subject_id); signal input subject_pin; @@ -127,8 +166,33 @@ template JwtProofUA(maxContentLength, maxSubLength) { signal masked_content_hash <== Hasher(outCount)(packed); /** - 5. Calculate nonce + 5. Checks on extended_nonce + a) Is it in the JWT payload? + b) Calculate nonce from public key, epoch, and randomness + c) Check that nonce appears in extended_nonce **/ + var extNonceLength = 43 + 11; // 43 for Base64 encoding of 256 bits + 11 for prefix and suffix + + // 5a) Is it in the JWT payload? + signal input extended_nonce[extNonceLength]; + signal input nonce_length_ascii; + + signal input nonce_claim_index_b64; + signal input nonce_length_b64; + + ASCIISubstrExistsInB64( + inCount, + extNonceLength + )( + b64Str <== content, + BIndex <== nonce_claim_index_b64, + lenB <== nonce_length_b64, + A <== extended_nonce, + lenA <== nonce_length_ascii, + payloadIndex <== payload_start_index + ); + + // 5b) Calculate nonce signal input eph_public_key[2]; signal input max_epoch; signal input jwt_randomness; @@ -142,6 +206,12 @@ template JwtProofUA(maxContentLength, maxSubLength) { jwt_randomness ]); + // 5c) Check that nonce appears in extended_nonce + NonceChecker(extNonceLength, 256)( + expected_nonce <== nonce, + actual_extended_nonce <== extended_nonce + ); + /** 6. Misc checks: - Ensure mask[i] == 1 for all i >= payload_start_index + payload_len @@ -159,7 +229,7 @@ template JwtProofUA(maxContentLength, maxSubLength) { 7. Hash all signals revealed to the verifier outside **/ signal input all_inputs_hash; - signal all_inputs_hash_actual <== Hasher(11)([ + signal all_inputs_hash_actual <== Hasher(10)([ jwt_sha2_hash[0], jwt_sha2_hash[1], masked_content_hash, @@ -168,7 +238,6 @@ template JwtProofUA(maxContentLength, maxSubLength) { eph_public_key[0], eph_public_key[1], max_epoch, - nonce, num_sha2_blocks, subject_id_com ]); diff --git a/openid-zkp-auth/js/circuitutils.js b/openid-zkp-auth/js/circuitutils.js index 148c30ea29..40a230d82a 100644 --- a/openid-zkp-auth/js/circuitutils.js +++ b/openid-zkp-auth/js/circuitutils.js @@ -1,5 +1,5 @@ const crypto = require("crypto"); -const {toBigIntBE} = require('bigint-buffer'); +const {toBigIntBE, toBufferBE} = require('bigint-buffer'); const utils = require('./utils'); const jwtutils = require('./jwtutils'); @@ -56,43 +56,101 @@ function genSha256Inputs(input, nCount, nWidth = 8, inParam = "in") { return { [inParam]: segments, "num_sha2_blocks": num_sha2_blocks }; } -function genNonceInputs(ephemeral_public_key, max_epoch, jwt_randomness) { +async function computeNonce( + ephemeral_public_key = devVars.ephPK, + max_epoch = devVars.maxEpoch, + jwt_randomness = devVars.jwtRand, +) { const eph_public_key_0 = ephemeral_public_key / 2n**128n; const eph_public_key_1 = ephemeral_public_key % 2n**128n; - + + const buildPoseidon = require("circomlibjs").buildPoseidon; + poseidon = await buildPoseidon(); + const bignum = poseidonHash([ + eph_public_key_0, + eph_public_key_1, + max_epoch, + jwt_randomness + ], poseidon); + + const Z = toBufferBE(bignum, 32); // padded to 32 bytes + const nonce = Z.toString('base64url'); + + if (nonce.length != constants.nonceLen) { + throw new Error(`Length of nonce ${nonce} (${nonce.length}) is not equal to ${constants.nonceLen}`); + } + + return nonce; +} + +async function genNonceCheckInputs( + payload, payloadIndex, + ephemeral_public_key = devVars.ephPK, + max_epoch = devVars.maxEpoch, + jwt_randomness = devVars.jwtRand, +) { + + const decoded_payload = Buffer.from(payload, 'base64url').toString(); + const extended_nonce = jwtutils.getExtendedClaim(decoded_payload, "nonce"); + const [start, len] = jwtutils.indicesOfB64(payload, 'nonce'); + + if (extended_nonce.length != constants.extNonceLen) { + throw new Error(`Length of nonce claim ${extended_nonce} (${extended_nonce.length}) is not equal to ${constants.extNonceLen} characters`); + } + return { - "eph_public_key": [eph_public_key_0, eph_public_key_1], - "max_epoch": max_epoch, - "jwt_randomness": jwt_randomness + "extended_nonce": extended_nonce.split('').map(c => c.charCodeAt()), + "nonce_length_ascii": extended_nonce.length, + "nonce_claim_index_b64": start + payloadIndex, + "nonce_length_b64": len, + "eph_public_key": [ephemeral_public_key / 2n**128n, ephemeral_public_key % 2n**128n], + "max_epoch": max_epoch, + "jwt_randomness": jwt_randomness }; } -async function genSubInputs(payload, maxSubLength, payloadIndex, userPIN) { +async function genSubCheckInputs(payload, maxSubLength, payloadIndex, userPIN) { const decoded_payload = Buffer.from(payload, 'base64url').toString(); - const sub_claim = jwtutils.getClaimString(decoded_payload, "sub"); + const extended_sub = jwtutils.getExtendedClaim(decoded_payload, "sub"); const [start, len] = jwtutils.indicesOfB64(payload, 'sub'); - if (sub_claim.length > maxSubLength) { - throw new Error(`Subject claim ${sub_claim} exceeds maximum length of ${maxSubLength} characters`); + if (extended_sub.length > maxSubLength) { + throw new Error(`Subject claim ${extended_sub} exceeds maximum length of ${maxSubLength} characters`); } - const sub_claim_without_last_char = sub_claim.slice(0, -1); + const sub_claim_without_last_char = extended_sub.slice(0, -1); const subject_id_com = await utils.commitSubID(sub_claim_without_last_char, userPIN, maxSubLength, outWidth); - const padded_subject_id = utils.padWithZeroes(sub_claim.split('').map(c => c.charCodeAt()), maxSubLength); + const padded_subject_id = utils.padWithZeroes(extended_sub.split('').map(c => c.charCodeAt()), maxSubLength); return [{ - "subject_id": padded_subject_id, - "sub_length_ascii": sub_claim.length, + "extended_sub": padded_subject_id, + "sub_length_ascii": extended_sub.length, "sub_claim_index_b64": start + payloadIndex, "sub_length_b64": len, "subject_pin": userPIN }, subject_id_com]; } +async function sanityChecks( + payload, + ephemeral_public_key = devVars.ephPK, + max_epoch = devVars.maxEpoch, + jwt_randomness = devVars.jwtRand, +) { + const nonce = await computeNonce(ephemeral_public_key, max_epoch, jwt_randomness); + + const decoded_payload = Buffer.from(payload, 'base64url').toString(); + const json_nonce = JSON.parse(decoded_payload).nonce; + if (json_nonce !== nonce) { + throw new Error(`Nonce in the JSON ${json_nonce} does not match computed nonce ${nonce}`); + } +} + async function genJwtProofUAInputs( input, maxContentLen, maxSubLen, fields = claimsToReveal, ephPK = devVars.ephPK, maxEpoch = devVars.maxEpoch, - jwtRand = devVars.jwtRand, userPIN = devVars.pin + jwtRand = devVars.jwtRand, userPIN = devVars.pin, + dev = true ){ // init poseidon const buildPoseidon = require("circomlibjs").buildPoseidon; @@ -108,7 +166,7 @@ async function genJwtProofUAInputs( inputs.payload_len = payload.length; // set sub claim inputs - const [sub_inputs, subject_id_com] = await genSubInputs( + const [sub_inputs, subject_id_com] = await genSubCheckInputs( payload, maxSubLen, inputs.payload_start_index, @@ -119,22 +177,20 @@ async function genJwtProofUAInputs( // set hash const hash = BigInt("0x" + crypto.createHash("sha256").update(input).digest("hex")); const jwt_sha2_hash = [hash / 2n**128n, hash % 2n**128n]; - + // masking inputs.mask = genJwtMask(input, fields).concat(Array(maxContentLen - input.length).fill(1)); const masked_content = utils.applyMask(inputs.content, inputs.mask); const packed = utils.pack(masked_content, 8, outWidth); const masked_content_hash = poseidonHash(packed, poseidon); - + // set nonce-related inputs - inputs = Object.assign({}, inputs, genNonceInputs(ephPK, maxEpoch, jwtRand)); - const nonce = poseidonHash([ - inputs.eph_public_key[0], - inputs.eph_public_key[1], - inputs.max_epoch, - inputs.jwt_randomness - ], poseidon); - + const nonce_inputs = await genNonceCheckInputs( + payload, inputs.payload_start_index, + ephPK, maxEpoch, jwtRand + ); + inputs = Object.assign({}, inputs, nonce_inputs); + inputs.all_inputs_hash = poseidonHash([ jwt_sha2_hash[0], jwt_sha2_hash[1], @@ -144,7 +200,6 @@ async function genJwtProofUAInputs( inputs.eph_public_key[0], inputs.eph_public_key[1], inputs.max_epoch, - nonce, inputs.num_sha2_blocks, subject_id_com ], poseidon); @@ -159,6 +214,10 @@ async function genJwtProofUAInputs( "num_sha2_blocks": inputs.num_sha2_blocks, "sub_id_com": subject_id_com.toString() } + + if (dev) { + sanityChecks(payload, ephPK, maxEpoch, jwtRand); + } return [inputs, auxiliary_inputs]; } @@ -167,5 +226,6 @@ module.exports = { padMessage: padMessage, genJwtMask: genJwtMask, genSha256Inputs: genSha256Inputs, - genJwtProofUAInputs: genJwtProofUAInputs + genJwtProofUAInputs: genJwtProofUAInputs, + computeNonce: computeNonce } diff --git a/openid-zkp-auth/js/constants.js b/openid-zkp-auth/js/constants.js index d4b7e8b3f7..9e8a3138bc 100644 --- a/openid-zkp-auth/js/constants.js +++ b/openid-zkp-auth/js/constants.js @@ -9,6 +9,8 @@ module.exports = { jwtRand: 100681567828351849884072155819400689117n }, maskValue: '='.charCodeAt(), + nonceLen: Math.ceil(256 / 6), // 43 + extNonceLen: Math.ceil(256 / 6) + 11, // 11 for prefix and suffix claimsToReveal: ["iss", "aud", "nonce"], google: { maxContentLen: 64*12, diff --git a/openid-zkp-auth/js/decideparams.js b/openid-zkp-auth/js/decideparams.js index 88229b4b8e..677c38d28c 100644 --- a/openid-zkp-auth/js/decideparams.js +++ b/openid-zkp-auth/js/decideparams.js @@ -26,12 +26,12 @@ function computeNumSHA2Blocks(jwt) { function computeSubLen(jwt) { const payload = Buffer.from(jwt.split('.')[1], 'base64url').toString(); - return jwtutils.getClaimString(payload, "sub").length; + return jwtutils.getExtendedClaim(payload, "sub").length; } function computeAudLen(jwt) { const payload = Buffer.from(jwt.split('.')[1], 'base64url').toString(); - return jwtutils.getClaimString(payload, "aud").length; + return jwtutils.getExtendedClaim(payload, "aud").length; } function decide(jwt, buffer1, buffer2) { diff --git a/openid-zkp-auth/js/gennonce.js b/openid-zkp-auth/js/gennonce.js new file mode 100644 index 0000000000..25c5e2f905 --- /dev/null +++ b/openid-zkp-auth/js/gennonce.js @@ -0,0 +1,15 @@ +const circuitutils = require('./circuitutils'); + +if (require.main === module) { + (async () => { + try { + await circuitutils.computeNonce().then(function (res) { + console.log("nonce", res); + }); + process.exit(0); + } + catch (err) { + console.error("Error:", err.message); + } + })(); +} \ No newline at end of file diff --git a/openid-zkp-auth/js/jwtutils.js b/openid-zkp-auth/js/jwtutils.js index 81ddc06c17..7d9351f342 100644 --- a/openid-zkp-auth/js/jwtutils.js +++ b/openid-zkp-auth/js/jwtutils.js @@ -8,7 +8,7 @@ * @param {*} claim e.g., sub * @returns e.g., "sub":"1234567890", */ -function getClaimString(decoded_payload, claim) { +function getExtendedClaim(decoded_payload, claim) { const json_input = JSON.parse(decoded_payload); if (!json_input.hasOwnProperty(claim)) { throw new Error("Field " + claim + " not found in " + decoded_payload); @@ -57,7 +57,7 @@ function getClaimString(decoded_payload, claim) { function indicesOfB64(payload, field) { const decoded = Buffer.from(payload, 'base64url').toString(); - const kv_pair = getClaimString(decoded, field); + const kv_pair = getExtendedClaim(decoded, field); const start_index_ascii = decoded.indexOf(kv_pair); const length_b64 = b64Len(kv_pair.length, start_index_ascii); const start_b64 = b64Index(start_index_ascii); @@ -269,7 +269,7 @@ function decodeBase64URL(s, i) { } module.exports = { - getClaimString: getClaimString, + getExtendedClaim: getExtendedClaim, indicesOfB64: indicesOfB64, b64Len: b64Len, decodeBase64URL: decodeBase64URL, diff --git a/openid-zkp-auth/test/main.circom.test.js b/openid-zkp-auth/test/main.circom.test.js index 84c2af5285..d001000d99 100644 --- a/openid-zkp-auth/test/main.circom.test.js +++ b/openid-zkp-auth/test/main.circom.test.js @@ -54,7 +54,7 @@ async function genProof(circuit, jwt, maxContentLen, maxSubLength, return [inputs, auxiliary_inputs]; } -describe("JWT Proof", function() { +describe.skip("JWT Proof", function() { const GOOGLE = require("../testvectors").google; const TWITCH = require("../testvectors").twitch; @@ -116,19 +116,20 @@ describe("Tests with crafted JWTs", () => { "kid":"827917329", "typ":"JWT" }; + const claim_string = '"sub":"4840061",'; + const sub_commitment = '6621753577113798222817846331081670375939652571040388319046768774068537034346'; + const pin = 123456789; + const nonce = "GCwq2zCuqtsa1BhaAc2SElwUoYv8jKhE6vs6Vmepu2M"; const payload = { // Resembles Google's JWT iss: 'google.com', azp: 'example.com', aud: 'example.com', sub: '4840061', - nonce: 'abcd', + nonce: nonce, iat: 4, exp: 4, jti: 'a8a0728a' }; - const claim_string = '"sub":"4840061",'; - const sub_commitment = '6621753577113798222817846331081670375939652571040388319046768774068537034346'; - const pin = 123456789; // const b64header = utils.trimEndByChar(Buffer.from(header, 'base64url').toString('base64url'), '='); // const b64payload = utils.trimEndByChar(Buffer.from(payload, 'base64url').toString('base64url'), '='); @@ -138,8 +139,9 @@ describe("Tests with crafted JWTs", () => { const maxSubLength = 21; before(async () => { - expect(jwtutils.getClaimString(JSON.stringify(payload), "sub")).equals(claim_string); + expect(jwtutils.getExtendedClaim(JSON.stringify(payload), "sub")).equals(claim_string); expect(claim_string.length).at.most(maxSubLength); + expect(await circuitutils.computeNonce()).equals(nonce); /** NOTE: Skipping a portion of the tests until address format is finalized */ // expect((await utils.commitSubID(claim_string.slice(0, -1), pin, maxSubLength)).toString()).equals(sub_commitment); console.log("JWT: ", jwt); @@ -165,7 +167,7 @@ describe("Tests with crafted JWTs", () => { iss: 'google.com', azp: 'example.com', aud: 'example.com', - nonce: 'abcd', + nonce: nonce, iat: 4, exp: 4, jti: 'a8a0728a' @@ -185,7 +187,7 @@ describe("Tests with crafted JWTs", () => { iss: 'google.com', azp: 'example.com', aud: 'example.com', - nonce: 'abcd', + nonce: nonce, iat: 4, exp: 4, jti: 'a8a0728a', @@ -210,7 +212,7 @@ describe("Tests with crafted JWTs", () => { exp: 4, sub: '4840061', azp: 'example.com', - nonce: 'abcd', + nonce: nonce, }; const new_jwt = constructJWT(header, new_payload); const [_, aux] = await genProof( @@ -237,7 +239,7 @@ describe("Tests with crafted JWTs", () => { iss: 'google.com', azp: 'example.com', aud: 'example.com', - nonce: 'abcd', + nonce: nonce, iat: 4, exp: 4, jti: 'a8a0728a', @@ -266,7 +268,7 @@ describe("Tests with crafted JWTs", () => { maxSubLength ); const tamperedClaim = claim_string; - inputs["subject_id"] = utils.padWithZeroes(tamperedClaim.split('').map(c => c.charCodeAt()), maxSubLength); + inputs["extended_sub"] = utils.padWithZeroes(tamperedClaim.split('').map(c => c.charCodeAt()), maxSubLength); inputs["sub_length_ascii"] = tamperedClaim.length; await circuit.calculateWitness(inputs, true); @@ -276,4 +278,36 @@ describe("Tests with crafted JWTs", () => { } } }); + + it("(Fail) Nonce has invalid value!", async () => { + const new_payload = { + sub: '4840061', + iss: 'google.com', + azp: 'example.com', + aud: 'example.com', + nonce: 'JMi6c_3qXn1H8UX5la1P6YDwThkN5LZxqagTyjfiYwU', // incorrect nonce + iat: 4, + exp: 4, + jti: 'a8a0728a' + }; + const new_jwt = constructJWT(header, new_payload); + try { + const [header, payload,] = new_jwt.split('.'); + const input = header + '.' + payload; + var [inputs, ] = await circuitutils.genJwtProofUAInputs( + input, + maxContentLen, + maxSubLength, + constants.claimsToReveal, + devVars.ephPK, + devVars.maxEpoch, + devVars.jwtRand, + devVars.pin, + false // set to false to turn off sanity checks + ); + await circuit.calculateWitness(inputs, true); + } catch (error) { + assert.include(error.message, 'Error in template NonceChecker'); + } + }); }); \ No newline at end of file diff --git a/openid-zkp-auth/test/masking.test.js b/openid-zkp-auth/test/masking.test.js index 9ff10a76d3..b4d24784d8 100644 --- a/openid-zkp-auth/test/masking.test.js +++ b/openid-zkp-auth/test/masking.test.js @@ -41,7 +41,7 @@ function maskTesting(jwt, claimsToReveal, print=false) { // We just check that each full claim string is present (somewhere) in the masked JWT. In practice, these would need to parsed out. // Note that some claims might not be at the start of an extracted_claim, e.g., if consecutive claims are being revealed. for (const claim of claimsToReveal) { - const claim_string = jwtutils.getClaimString(Buffer.from(jwt.split('.')[1], 'base64url').toString(), claim); + const claim_string = jwtutils.getExtendedClaim(Buffer.from(jwt.split('.')[1], 'base64url').toString(), claim); if (!extracted_claims.some(e => e.includes(claim_string))) { console.log("Can't find claim", claim, "in", extracted_claims); throw new Error("Claim not found in masked JWT"); @@ -128,7 +128,8 @@ describe("Masking with real JWTs", function() { 'iss', 'azp', 'aud', 'sub', 'nonce', 'iat', - 'exp', 'jti' + 'exp', 'jti', + 'email', 'email_verified' ].sort()); for (const subset of subsets(claims)) { maskTesting(jwt, subset); diff --git a/openid-zkp-auth/test/misc.circom.test.js b/openid-zkp-auth/test/misc.circom.test.js index 0e15554064..24850617f3 100644 --- a/openid-zkp-auth/test/misc.circom.test.js +++ b/openid-zkp-auth/test/misc.circom.test.js @@ -6,7 +6,7 @@ const utils = require("../js/utils"); const testutils = require("./testutils"); -describe("Num2BitsBE", () => { +describe("Num2BitsBE(8)", () => { beforeEach(async () => { cir = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "misc.circom"), "Num2BitsBE", [8]); await cir.loadSymbols(); @@ -54,6 +54,26 @@ describe("Num2BitsBE", () => { }); }) +describe("Num2BitsBE(256)", async () => { + const L = 256; + const P = 21888242871839275222246405745257275088548364400416034343698204186575808495617n; + + cir = await testutils.genMain(path.join(__dirname, "../circuits/helpers", "misc.circom"), "Num2BitsBE", [L]); + await cir.loadSymbols(); + const crypto = require("crypto"); + const num = BigInt("0x" + crypto.randomBytes(32).toString('hex')) % P; + + const witness = await cir.calculateWitness({"in": num}, true); + await cir.checkConstraints(witness); + const out = testutils.getWitnessArray(witness, cir.symbols, "main.out").map(x => Number(x)); + assert.equal(out.length, L); + + const out1 = (num % P).toString(2).padStart(L, '0').split('').map(x => Number(x)); + assert.equal(out1.length, L); + + assert.deepEqual(out, out1); +}) + // Note: Although it is an offical circuit, tests for illustrative purposes and my own sanity describe("Num2Bits", () => { beforeEach(async () => { diff --git a/openid-zkp-auth/test/strings.circom.test.js b/openid-zkp-auth/test/strings.circom.test.js index 31cdb588b4..18a1f85d04 100644 --- a/openid-zkp-auth/test/strings.circom.test.js +++ b/openid-zkp-auth/test/strings.circom.test.js @@ -1,11 +1,14 @@ const chai = require("chai"); const path = require("path"); const assert = chai.assert; +const expect = chai.expect; const jwtutils = require("../js/jwtutils"); const utils = require("../js/utils"); const testutils = require("./testutils"); +const { toBigIntBE } = require("bigint-buffer"); +const exp = require("constants"); describe("Slices", () => { const file = path.join(__dirname, "../circuits/helpers", "strings.circom"); @@ -193,7 +196,7 @@ describe("ASCIISubstrExistsInB64" , () => { assert.isTrue(maxB <= maxJwtLen); for (let i = 0; i < decoded_jwts.length; i++) { assert.deepEqual(decoded_jwts[i].indexOf(A) % 4 , i); - assert.deepEqual(jwtutils.getClaimString(decoded_jwts[i], 'sub'), A); + assert.deepEqual(jwtutils.getExtendedClaim(decoded_jwts[i], 'sub'), A); assert.deepEqual(jwtutils.decodeBase64URL( jwts[i].slice(indicesB[i], indicesB[i] + lensB[i]), indicesB[i] @@ -322,7 +325,7 @@ describe("ASCIISubstrExistsInB64" , () => { "exp": 1616425200, "name": "John Doe" }); - assert.deepEqual(jwtutils.getClaimString(payload, 'sub'), A); + assert.deepEqual(jwtutils.getExtendedClaim(payload, 'sub'), A); const encoded_payload = Buffer.from(payload).toString("base64url"); const jwt = Buffer.from(header).toString("base64url") + "." + encoded_payload; @@ -334,4 +337,47 @@ describe("ASCIISubstrExistsInB64" , () => { const circuit = await genCircuit(maxJwtLen, maxA); await genProof(circuit, jwt, maxJwtLen, A, maxA, index + payload_index, len, payload_index); }); -}); \ No newline at end of file + + it("Nonce", async() => { + const maxJwtLen = 200; + const bignum = 8679359968269066238270369971672891012793979385072768529748854974904529914083n; + const numbits = bignum.toString(2).length; + expect(numbits).to.be.at.most(254); + + const bignum_in_base64 = Buffer.from(bignum.toString(16), "hex").toString("base64url"); + console.log("bignum_in_base64", bignum_in_base64); + chai.expect(bignum_in_base64.length).to.equal(Math.ceil(numbits / 6)); + + const A = '"nonce":"' + bignum_in_base64 + '",'; // <= 11 + Math.ceil(254/6) = 54 chars + console.log(A); + + const lenA = A.length; + const maxA = lenA; + expect(maxA).to.be.at.most(54); + const maxB = 1 + ((maxA / 3) * 4); + + console.log("maxA", maxA); + + const header = JSON.stringify({ + "alg": "RS256", + "typ": "JWT" + }); + const payload = JSON.stringify({ + "sub": "484061", + "iat": 1616421600, + "exp": 1616425200, + "nonce": bignum_in_base64, + "name": "John Doe" + }); + assert.deepEqual(jwtutils.getExtendedClaim(payload, 'nonce'), A); + + const encoded_payload = Buffer.from(payload).toString("base64url"); + const jwt = Buffer.from(header).toString("base64url") + "." + encoded_payload; + const payload_index = jwt.indexOf(encoded_payload); + const [index, len] = jwtutils.indicesOfB64(encoded_payload, 'nonce'); + assert.isAtMost(len, maxB); + + const circuit = await genCircuit(maxJwtLen, maxA); + await genProof(circuit, jwt, maxJwtLen, A, maxA, index + payload_index, len, payload_index); + }); +}); diff --git a/openid-zkp-auth/test/utils.test.js b/openid-zkp-auth/test/utils.test.js index dc9c9df661..695cc75c08 100644 --- a/openid-zkp-auth/test/utils.test.js +++ b/openid-zkp-auth/test/utils.test.js @@ -57,46 +57,46 @@ describe("Circuit Utilities", () => { }); describe("JWT utils tests", () => { - const getClaimString = jwtutils.getClaimString; + const getExtendedClaim = jwtutils.getExtendedClaim; const b64Len = jwtutils.b64Len; const indicesOfB64 = jwtutils.indicesOfB64; const decodeBase64URL = jwtutils.decodeBase64URL; - describe("getClaimString", () => { + describe("getExtendedClaim", () => { it("Normal strings", () => { // Without quotes, not end assert.deepEqual( - getClaimString('{"iss":12345,"sub":45678,"aud":"https://example.com"}', "iss"), + getExtendedClaim('{"iss":12345,"sub":45678,"aud":"https://example.com"}', "iss"), '"iss":12345,' ); // With quotes, not end assert.deepEqual( - getClaimString('{"iss":"12345","sub":45678,"aud":"https://example.com"}', "iss"), + getExtendedClaim('{"iss":"12345","sub":45678,"aud":"https://example.com"}', "iss"), '"iss":"12345",' ); // Without quotes, end assert.deepEqual( - getClaimString('{"iss":12345,"sub":45678}', "sub"), + getExtendedClaim('{"iss":12345,"sub":45678}', "sub"), '"sub":45678}' ); // With quotes, end assert.deepEqual( - getClaimString('{"iss":12345,"sub":45678,"aud":"https://example.com"}', "aud"), + getExtendedClaim('{"iss":12345,"sub":45678,"aud":"https://example.com"}', "aud"), '"aud":"https://example.com"}' ); }) it("With escapes", () => { assert.deepEqual( - getClaimString('{"iss":"https:\\/\\/www.facebook.com","sub":45678,"aud":12345}', "iss"), + getExtendedClaim('{"iss":"https:\\/\\/www.facebook.com","sub":45678,"aud":12345}', "iss"), '"iss":"https:\\/\\/www.facebook.com",' ); assert.deepEqual( - getClaimString('{"iss":"https:\\/\\/www.facebook.com","sub":45678,"picture":"https:\\/\\/platform-lookaside.fbsbx.com\\/platform\\/profilepic\\/?asid=708562611009525&height=100&width=100&ext=1684596798&hash=AeRIgRL_XooqrdDidNY"}', "picture"), + getExtendedClaim('{"iss":"https:\\/\\/www.facebook.com","sub":45678,"picture":"https:\\/\\/platform-lookaside.fbsbx.com\\/platform\\/profilepic\\/?asid=708562611009525&height=100&width=100&ext=1684596798&hash=AeRIgRL_XooqrdDidNY"}', "picture"), '"picture":"https:\\/\\/platform-lookaside.fbsbx.com\\/platform\\/profilepic\\/?asid=708562611009525&height=100&width=100&ext=1684596798&hash=AeRIgRL_XooqrdDidNY"}' ); }); @@ -200,7 +200,7 @@ describe("JWT utils tests", () => { '{"iss":12345,"sub":45678,"aud":"https://example.com"}' // In the middle ].forEach(input => { assert.isTrue(input.includes(sub_claim)); - const sub_claim_with_last_char = getClaimString(input, "sub"); + const sub_claim_with_last_char = getExtendedClaim(input, "sub"); assert.deepEqual(sub_claim_with_last_char.slice(0, -1), sub_claim); assert.isTrue(sub_claim_with_last_char.slice(-1) === ',' || sub_claim_with_last_char.slice(-1) === '}'); @@ -217,7 +217,7 @@ describe("JWT utils tests", () => { const jwt = require('../testvectors').google.jwt; const payload = jwt.split('.')[1]; const decoded_payload = Buffer.from(payload, 'base64url').toString(); - const sub_claim_with_last_char = getClaimString(decoded_payload, "sub"); + const sub_claim_with_last_char = getExtendedClaim(decoded_payload, "sub"); assert.deepEqual(sub_claim_with_last_char, '"sub":"110463452167303598383",'); const [start, len] = indicesOfB64(payload, "sub"); @@ -231,14 +231,20 @@ describe("JWT utils tests", () => { const payload = jwt.split('.')[1]; const decoded_payload = Buffer.from(payload, 'base64url').toString(); - const sub_claim_with_last_char = getClaimString(decoded_payload, "sub"); + const sub_claim_with_last_char = getExtendedClaim(decoded_payload, "sub"); assert.deepEqual(sub_claim_with_last_char, '"sub":"904448692",'); const [start, len] = indicesOfB64(payload, "sub"); const substr = payload.slice(start, start + len); const decoded = decodeBase64URL(substr, start % 4); assert.deepEqual(decoded, sub_claim_with_last_char); + }) + + it.skip("Twitch JWT with username", () => { + const jwt = require('../testvectors').twitch.jwt; + const payload = jwt.split('.')[1]; + const decoded_payload = Buffer.from(payload, 'base64url').toString(); - const username = getClaimString(decoded_payload, "preferred_username"); + const username = getExtendedClaim(decoded_payload, "preferred_username"); assert.deepEqual(username, '"preferred_username":"joyqvq"}'); const [start2, len2] = indicesOfB64(payload, "preferred_username"); const substr2 = payload.slice(start2, start2 + len2); diff --git a/openid-zkp-auth/testvectors.js b/openid-zkp-auth/testvectors.js index 8497c390bb..1269a0958b 100644 --- a/openid-zkp-auth/testvectors.js +++ b/openid-zkp-auth/testvectors.js @@ -1,13 +1,13 @@ const GOOGLE_EXTENSION = { - jwt: "eyJhbGciOiJSUzI1NiIsImtpZCI6Ijk2OTcxODA4Nzk2ODI5YTk3MmU3OWE5ZDFhOWZmZjExY2Q2MWIxZTMiLCJ0eXAiOiJKV1QifQ.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.sOR7RlnMiTpl6UKWVfm2o6TJngmzodj_daWro6uzXYD39UVm1UHk_nL4QuNkLnCIMAxo1utV7cQiQpoA94UquZpnuvs32DZkC-R98iSb99ujjN2jcIZOm8lIs-6LB0Dyme3xXUE3r6Grq8z71UjYZDuPMxi3aYw2D-er0abBwwnmMzEI9FTcgkKASXZOOmkrO502f5BCYp3s5_Hfd4jABoJHY5c9zScX1lzVMI61Z3RcCBWh2f_r88ezGBqXIoLG1K663fB37EhGbRicJEomAAiOn5tIM0gTlxqg_bKpiY8RdrWzh64NhxGeV8y0VkrV1Iuj1-4e2QG864GwZOEguw", + jwt: "eyJhbGciOiJSUzI1NiIsImtpZCI6ImM5YWZkYTM2ODJlYmYwOWViMzA1NWMxYzRiZDM5Yjc1MWZiZjgxOTUiLCJ0eXAiOiJKV1QifQ.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.TCI2XSbEmFc3KVHn2MoZi4OwCM56l59hiSZBdWwMeaCQWCbcJ87OhqtDTOuJMtUclBfkvEDoX_F2VhLJEbUcsFc5XyH_wrPjEqLet3uK1NB8Pqvuk1Q8lMy9nTvSCugGyCRUVhGiOiUfITwq8DhP-NPQ_2vp0NVb_EmHEUxgRniNA-h5JXK2RRxKb1Sx0-yAnerxAamNcvYCOL679Ig9u0N_G_v2cwUVYEm-8XkKpyrUeMv60euxMdO0LDCa1qbOj_l0OmPtMweCMGtVJOCrR3upZ443ttALJ2slsXdXc0Ee9byDoEP9KaPsvMT2ZQX3ZDss_ce3opYDd0snUf-H8A", jwk: { "e": "AQAB", "kty": "RSA", - "n": "vfBbH3bcgTzYXomo5hmimATzkEF0QIuhMYmwx0IrpdKT6M15b6KBVhZsPfwbRNoui3iBe8xLON2VHarDgXRzrHec6-oLx8Sh4R4B47MdASURoiIOBiSOiJ3BjKQexNXT4wO0ZLSEMTVt_h24fgIerASU6w2XQOeGb7bbgZnJX3a0NAjsfrxCeG0PacWK2TE2R00mZoeAYWtCuAsE-Xz0hkGqEsg7HqIMYeLjQ-NFkGBErGAi5Cd_k3_D7rv0IEdoB1GkJpIdMLqnI-MR_OxsQNZGpC12OaLXCqgkFAgW69QLAG3YMaTFgPi-Us1i2idc4SPADYijiPml---jCap9yw" + "n": "t0VFy4n4MGtbMWJKk5qfCY2WGBja2WSWQ2zsLziSx9p1QE0QgXtr1x85PnQYaYrAvOBiXm2mrxWnZ42MxaUUu9xyykTDxsNWHK--ufchdaqJwfqd5Ecu-tHvFkMIs2g39pmG8QfXJHKMqczKrvcHHJrpTqZuos1uhYM9gxOLVP8wTAUPNqa1caiLbsszUC7yaMO3LY1WLQST79Z8u5xttKXShXFv1CCNs8-7vQ1IB5DWQSR2um1KV4t42d31Un4-8cNiURx9HmJNJzOXbTG-vDeD6sapFf5OGDsCLO4YvzzkzTsYBIQy_p88qNX0a6AeU13enxhbasSc-ApPqlxBdQ" }, header: { "alg": "RS256", - "kid": "96971808796829a972e79a9d1a9fff11cd61b1e3", + "kid": "c9afda3682ebf09eb3055c1c4bd39b751fbf8195", "typ": "JWT" }, payload: { @@ -15,10 +15,12 @@ const GOOGLE_EXTENSION = { "azp": "575519204237-msop9ep45u2uo98hapqmngv8d84qdc8k.apps.googleusercontent.com", "aud": "575519204237-msop9ep45u2uo98hapqmngv8d84qdc8k.apps.googleusercontent.com", "sub": "110463452167303598383", - "nonce": "16637918813908060261870528903994038721669799613803601616678155512181273289477", - "iat": 1682002642, - "exp": 1682006242, - "jti": "a8a0728a3ffd5dc81ecfd0ea81d0d33d803eb830" + "email": "wangqiaoyi.joy@gmail.com", + "email_verified": true, + "nonce": "GCwq2zCuqtsa1BhaAc2SElwUoYv8jKhE6vs6Vmepu2M", + "iat": 1683323269, + "exp": 1683326869, + "jti": "013306b652f4f85251e558ea4aa9bdab7fd1797f" } } @@ -44,13 +46,11 @@ const GOOGLE_PLAYGROUND = { } const TWITCH = { - jwt: "eyJhbGciOiJSUzI1NiIsInR5cCI6IkpXVCIsImtpZCI6IjEifQ.eyJhdWQiOiJnanQxZTY2YjJubnk4Yjk5aDQ5N2hteTA2ODNjbzAiLCJleHAiOjE2ODI3NzYyNzYsImlhdCI6MTY4Mjc3NTM3NiwiaXNzIjoiaHR0cHM6Ly9pZC50d2l0Y2gudHYvb2F1dGgyIiwic3ViIjoiOTA0NDQ4NjkyIiwiYXpwIjoiZ2p0MWU2NmIybm55OGI5OWg0OTdobXkwNjgzY28wIiwibm9uY2UiOiIxNjYzNzkxODgxMzkwODA2MDI2MTg3MDUyODkwMzk5NDAzODcyMTY2OTc5OTYxMzgwMzYwMTYxNjY3ODE1NTUxMjE4MTI3MzI4OTQ3NyIsInByZWZlcnJlZF91c2VybmFtZSI6ImpveXF2cSJ9.PfduhP0eLpwkVCmvoqf267uinjRdkEAIVLCnVCJ4wv0QwY7t2JH0_xjbXK1krfR96rBeZQEz_hJ4KSoVnN-NA7ym7AdfjmWviRUbsGdCyrgSygv4qt8h-cdxNk46CXm2k7JvXzHEsgcZmuPpvZz2kTMqYIRatn9BDG_FQQhG7v4anwz0c-NNL8lhmzwxoaMWf-cfS-B9UFtC1WXOIFWnnNHbNP92dBTkyEiA-UM8457pAV5ZTknMph4lSq322AxJGRkTz0XPimrHqcixE26sP6zn4DMySRl1H-ftmst3lhThZCG8kEoRt2LIDMafqBrXWeEadCs4cMpwiDzQRHvtrw", + jwt: "eyJhbGciOiJSUzI1NiIsInR5cCI6IkpXVCIsImtpZCI6IjEifQ.eyJhdWQiOiJkMzFpY3FsNmw4eHpwYTdlZjMxenR4eXNzNDZvY2siLCJleHAiOjE2ODMzMjQyNjgsImlhdCI6MTY4MzMyMzM2OCwiaXNzIjoiaHR0cHM6Ly9pZC50d2l0Y2gudHYvb2F1dGgyIiwic3ViIjoiOTA0NDQ4NjkyIiwiZW1haWwiOiJ3YW5nam95am95MjAxOUBnbWFpbC5jb20iLCJub25jZSI6IkpNaTZjXzNxWG4xSDhVWDVsYTFQNllEd1Roa041TFp4cWFnVHlqZmlZd1UifQ.KPQ3F3tStLSNl_KR7BjO37xGTBX6IeJKgn8Rp6Gg8iEx7wcWRCGQHAb_baImXRXmaqfwKR5XZQv_eq52KqD5EMltcPq166v_LTEGURBPYn_tbrEYplDe3tqLpuci1jwrUdj0hDQlZ683Uz_QuqLRkn0alAx0wnZIfTP7zJqpq_KyUIAc6hvOxrfQLJAgMW8zhxXO3xLDn0qOC4yXXfeUC8V8ntqTEOzfmLL1b0Ly604gwjhWtQgF-NrYnuopvNbTJAZei1Ha8RoyLh1qFWCG3B-XJPrvblQY_RIGnQzzjteLz7Lc0iHxCBBBqVqMZbP96DR2gp5fxFVfCqA5G0YA9A", jwk: { - "alg":"RS256", - "e":"AQAB", - "kid":"1", - "kty":"RSA", - "n":"6lq9MQ-q6hcxr7kOUp-tHlHtdcDsVLwVIw13iXUCvuDOeCi0VSuxCCUY6UmMjy53dX00ih2E4Y4UvlrmmurK0eG26b-HMNNAvCGsVXHU3RcRhVoHDaOwHwU72j7bpHn9XbP3Q3jebX6KIfNbei2MiR0Wyb8RZHE-aZhRYO8_-k9G2GycTpvc-2GBsP8VHLUKKfAs2B6sW3q3ymU6M0L-cFXkZ9fHkn9ejs-sqZPhMJxtBPBxoUIUQFTgv4VXTSv914f_YkNw-EjuwbgwXMvpyr06EyfImxHoxsZkFYB-qBYHtaMxTnFsZBr6fn8Ha2JqT1hoP7Z5r5wxDu3GQhKkHw","use":"sig" + "e": "AQAB", + "kty": "RSA", + "n": "6lq9MQ-q6hcxr7kOUp-tHlHtdcDsVLwVIw13iXUCvuDOeCi0VSuxCCUY6UmMjy53dX00ih2E4Y4UvlrmmurK0eG26b-HMNNAvCGsVXHU3RcRhVoHDaOwHwU72j7bpHn9XbP3Q3jebX6KIfNbei2MiR0Wyb8RZHE-aZhRYO8_-k9G2GycTpvc-2GBsP8VHLUKKfAs2B6sW3q3ymU6M0L-cFXkZ9fHkn9ejs-sqZPhMJxtBPBxoUIUQFTgv4VXTSv914f_YkNw-EjuwbgwXMvpyr06EyfImxHoxsZkFYB-qBYHtaMxTnFsZBr6fn8Ha2JqT1hoP7Z5r5wxDu3GQhKkHw" } } From cb840f9592dfc8378f0f6b33ab723f41761b8d1a Mon Sep 17 00:00:00 2001 From: Deepak Maram Date: Thu, 11 May 2023 12:46:41 -0400 Subject: [PATCH 08/32] Add preamble to nonce. Use one circuit for all providers --- openid-zkp-auth/circuits/jwt_proof_ua.circom | 23 ++++++++---- .../circuits/{google.circom => main.circom} | 0 openid-zkp-auth/circuits/twitch.circom | 7 ---- openid-zkp-auth/js/circuitutils.js | 2 ++ openid-zkp-auth/js/constants.js | 12 ++----- openid-zkp-auth/test/main.circom.test.js | 36 +++++++++---------- openid-zkp-auth/testvectors.js | 20 +++++++++-- 7 files changed, 55 insertions(+), 45 deletions(-) rename openid-zkp-auth/circuits/{google.circom => main.circom} (100%) delete mode 100644 openid-zkp-auth/circuits/twitch.circom diff --git a/openid-zkp-auth/circuits/jwt_proof_ua.circom b/openid-zkp-auth/circuits/jwt_proof_ua.circom index fcfc3f546f..11d2ab84bf 100644 --- a/openid-zkp-auth/circuits/jwt_proof_ua.circom +++ b/openid-zkp-auth/circuits/jwt_proof_ua.circom @@ -53,9 +53,18 @@ JWT Proof: User-agnostic (UA) circuit Private Inputs: - content[inCount]: Segments of X as inWidth bit chunks where X is the decoded JWT header + decoded JWT payload + SHA-2 padding + zeroes - - sub_length_ascii: Length of the extended_sub in ASCII, e.g., for ',"sub":12345,' it is 13 + - extended_sub[maxSubLength]: The subject (user) ID for the first sub_length_ascii characters and 0s for the rest + - sub_length_ascii: Length of the extended_sub in ASCII, e.g., for ',"sub":12345,' it is 13 + - sub_claim_index_b64: + - sub_length_b64: - subject_pin: A 128-bit PIN to keep the extended_sub private + + - extended_nonce[maxNonceLength]: + - nonce_length_ascii: + - nonce_claim_index_b64: + - nonce_length_b64: + - mask[inCount]: A binary mask over X, i.e., mask[i] = 0 or 1 - jwt_randomness: A 128-bit random number to keep the sensitive parts of JWT hidden @@ -71,7 +80,7 @@ JWT Proof: User-agnostic (UA) circuit Public Inputs: - all_inputs_hash: H(jwt_sha2_hash[2] || masked_content_hash || payload_start_index || payload_len - eph_public_key[2] || max_epoch || nonce || num_sha2_blocks || subject_id_com) + eph_public_key[2] || max_epoch || num_sha2_blocks || subject_id_com) */ template JwtProofUA(maxContentLength, maxSubLength) { // Input is Base64 characters encoded as ASCII @@ -199,10 +208,12 @@ template JwtProofUA(maxContentLength, maxSubLength) { component size_checker_2 = Num2Bits(128); size_checker_2.in <== jwt_randomness; // ensure it is 16 bytes - signal nonce <== Hasher(4)([ - eph_public_key[0], - eph_public_key[1], - max_epoch, + var nonce_preamble = 1; + signal nonce <== Hasher(5)([ + nonce_preamble, + eph_public_key[0], + eph_public_key[1], + max_epoch, jwt_randomness ]); diff --git a/openid-zkp-auth/circuits/google.circom b/openid-zkp-auth/circuits/main.circom similarity index 100% rename from openid-zkp-auth/circuits/google.circom rename to openid-zkp-auth/circuits/main.circom diff --git a/openid-zkp-auth/circuits/twitch.circom b/openid-zkp-auth/circuits/twitch.circom deleted file mode 100644 index 8faf50f547..0000000000 --- a/openid-zkp-auth/circuits/twitch.circom +++ /dev/null @@ -1,7 +0,0 @@ -pragma circom 2.1.3; - -include "jwt_proof_ua.circom"; - -component main { - public [all_inputs_hash] -} = JwtProofUA(64*8, 21); \ No newline at end of file diff --git a/openid-zkp-auth/js/circuitutils.js b/openid-zkp-auth/js/circuitutils.js index 40a230d82a..241a070adc 100644 --- a/openid-zkp-auth/js/circuitutils.js +++ b/openid-zkp-auth/js/circuitutils.js @@ -57,6 +57,7 @@ function genSha256Inputs(input, nCount, nWidth = 8, inParam = "in") { } async function computeNonce( + preamble = 0x1, ephemeral_public_key = devVars.ephPK, max_epoch = devVars.maxEpoch, jwt_randomness = devVars.jwtRand, @@ -67,6 +68,7 @@ async function computeNonce( const buildPoseidon = require("circomlibjs").buildPoseidon; poseidon = await buildPoseidon(); const bignum = poseidonHash([ + preamble, eph_public_key_0, eph_public_key_1, max_epoch, diff --git a/openid-zkp-auth/js/constants.js b/openid-zkp-auth/js/constants.js index 9e8a3138bc..0b9c8dc521 100644 --- a/openid-zkp-auth/js/constants.js +++ b/openid-zkp-auth/js/constants.js @@ -11,13 +11,7 @@ module.exports = { maskValue: '='.charCodeAt(), nonceLen: Math.ceil(256 / 6), // 43 extNonceLen: Math.ceil(256 / 6) + 11, // 11 for prefix and suffix - claimsToReveal: ["iss", "aud", "nonce"], - google: { - maxContentLen: 64*12, - maxSubstrLen: 36, - }, - twitch: { - maxContentLen: 64*8, - maxSubstrLen: 21, - } + claimsToReveal: ["iss", "aud"], + maxContentLen: 64*12, + maxSubstrLen: 36 } \ No newline at end of file diff --git a/openid-zkp-auth/test/main.circom.test.js b/openid-zkp-auth/test/main.circom.test.js index d001000d99..a8acc25852 100644 --- a/openid-zkp-auth/test/main.circom.test.js +++ b/openid-zkp-auth/test/main.circom.test.js @@ -12,7 +12,10 @@ const verify = require('../js/verify'); const testutils = require("./testutils"); -async function genCircuit(maxContentLen, maxSubLength) { +async function genCircuit( + maxContentLen = constants.maxContentLen, + maxSubLength = constants.maxSubstrLen +) { return await testutils.genMain( path.join(__dirname, "../circuits", "jwt_proof_ua.circom"), "JwtProofUA", [ maxContentLen, @@ -21,10 +24,12 @@ async function genCircuit(maxContentLen, maxSubLength) { ); } -async function genProof(circuit, jwt, maxContentLen, maxSubLength, +async function genProof( + circuit, jwt, + maxContentLen = constants.maxContentLen, maxSubLength = constants.maxSubstrLen, claimsToReveal = constants.claimsToReveal, ephPK = devVars.ephPK, maxEpoch = devVars.maxEpoch, jwtRand = devVars.jwtRand, userPIN = devVars.pin -){ +) { const [header, payload, _] = jwt.split('.'); const input = header + '.' + payload; var [inputs, auxiliary_inputs] = await circuitutils.genJwtProofUAInputs( @@ -54,41 +59,32 @@ async function genProof(circuit, jwt, maxContentLen, maxSubLength, return [inputs, auxiliary_inputs]; } -describe.skip("JWT Proof", function() { +describe("JWT Proof", function() { const GOOGLE = require("../testvectors").google; const TWITCH = require("../testvectors").twitch; const test_vectors = { google: { jwt: GOOGLE["jwt"], - jwk: GOOGLE["jwk"], - maxContentLen: constants.google.maxContentLen, - maxSubstrLen: constants.google.maxSubstrLen - }, + jwk: GOOGLE["jwk"] + }, twitch: { jwt: TWITCH["jwt"], - jwk: TWITCH["jwk"], - maxContentLen: constants.twitch.maxContentLen, - maxSubstrLen: constants.twitch.maxSubstrLen + jwk: TWITCH["jwk"] } } for (const [provider, constants] of Object.entries(test_vectors)) { describe(provider, async function() { - it("Verify JWT with JWK", async function() { + it.skip("Verify JWT with JWK", async function() { verify.verifyJwt(constants["jwt"], constants["jwk"]); }); it("Prove", async function() { - const circuit = await genCircuit( - constants["maxContentLen"], - constants["maxSubstrLen"] - ); + const circuit = await genCircuit(); await genProof( circuit, - constants["jwt"], - constants["maxContentLen"], - constants["maxSubstrLen"], + constants["jwt"] ); }); }); @@ -119,7 +115,7 @@ describe("Tests with crafted JWTs", () => { const claim_string = '"sub":"4840061",'; const sub_commitment = '6621753577113798222817846331081670375939652571040388319046768774068537034346'; const pin = 123456789; - const nonce = "GCwq2zCuqtsa1BhaAc2SElwUoYv8jKhE6vs6Vmepu2M"; + const nonce = "K-pwFqdPP3PUBjniz2PobCuAzacon6uhHQNZCMVnCPc"; const payload = { // Resembles Google's JWT iss: 'google.com', azp: 'example.com', diff --git a/openid-zkp-auth/testvectors.js b/openid-zkp-auth/testvectors.js index 1269a0958b..5b52449134 100644 --- a/openid-zkp-auth/testvectors.js +++ b/openid-zkp-auth/testvectors.js @@ -1,5 +1,5 @@ const GOOGLE_EXTENSION = { - jwt: "eyJhbGciOiJSUzI1NiIsImtpZCI6ImM5YWZkYTM2ODJlYmYwOWViMzA1NWMxYzRiZDM5Yjc1MWZiZjgxOTUiLCJ0eXAiOiJKV1QifQ.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.TCI2XSbEmFc3KVHn2MoZi4OwCM56l59hiSZBdWwMeaCQWCbcJ87OhqtDTOuJMtUclBfkvEDoX_F2VhLJEbUcsFc5XyH_wrPjEqLet3uK1NB8Pqvuk1Q8lMy9nTvSCugGyCRUVhGiOiUfITwq8DhP-NPQ_2vp0NVb_EmHEUxgRniNA-h5JXK2RRxKb1Sx0-yAnerxAamNcvYCOL679Ig9u0N_G_v2cwUVYEm-8XkKpyrUeMv60euxMdO0LDCa1qbOj_l0OmPtMweCMGtVJOCrR3upZ443ttALJ2slsXdXc0Ee9byDoEP9KaPsvMT2ZQX3ZDss_ce3opYDd0snUf-H8A", + jwt: "eyJhbGciOiJSUzI1NiIsImtpZCI6ImM5YWZkYTM2ODJlYmYwOWViMzA1NWMxYzRiZDM5Yjc1MWZiZjgxOTUiLCJ0eXAiOiJKV1QifQ.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.", jwk: { "e": "AQAB", "kty": "RSA", @@ -17,7 +17,7 @@ const GOOGLE_EXTENSION = { "sub": "110463452167303598383", "email": "wangqiaoyi.joy@gmail.com", "email_verified": true, - "nonce": "GCwq2zCuqtsa1BhaAc2SElwUoYv8jKhE6vs6Vmepu2M", + "nonce": "K-pwFqdPP3PUBjniz2PobCuAzacon6uhHQNZCMVnCPc", "iat": 1683323269, "exp": 1683326869, "jti": "013306b652f4f85251e558ea4aa9bdab7fd1797f" @@ -46,11 +46,25 @@ const GOOGLE_PLAYGROUND = { } const TWITCH = { - jwt: "eyJhbGciOiJSUzI1NiIsInR5cCI6IkpXVCIsImtpZCI6IjEifQ.eyJhdWQiOiJkMzFpY3FsNmw4eHpwYTdlZjMxenR4eXNzNDZvY2siLCJleHAiOjE2ODMzMjQyNjgsImlhdCI6MTY4MzMyMzM2OCwiaXNzIjoiaHR0cHM6Ly9pZC50d2l0Y2gudHYvb2F1dGgyIiwic3ViIjoiOTA0NDQ4NjkyIiwiZW1haWwiOiJ3YW5nam95am95MjAxOUBnbWFpbC5jb20iLCJub25jZSI6IkpNaTZjXzNxWG4xSDhVWDVsYTFQNllEd1Roa041TFp4cWFnVHlqZmlZd1UifQ.KPQ3F3tStLSNl_KR7BjO37xGTBX6IeJKgn8Rp6Gg8iEx7wcWRCGQHAb_baImXRXmaqfwKR5XZQv_eq52KqD5EMltcPq166v_LTEGURBPYn_tbrEYplDe3tqLpuci1jwrUdj0hDQlZ683Uz_QuqLRkn0alAx0wnZIfTP7zJqpq_KyUIAc6hvOxrfQLJAgMW8zhxXO3xLDn0qOC4yXXfeUC8V8ntqTEOzfmLL1b0Ly604gwjhWtQgF-NrYnuopvNbTJAZei1Ha8RoyLh1qFWCG3B-XJPrvblQY_RIGnQzzjteLz7Lc0iHxCBBBqVqMZbP96DR2gp5fxFVfCqA5G0YA9A", + jwt: "eyJhbGciOiJSUzI1NiIsInR5cCI6IkpXVCIsImtpZCI6IjEifQ.eyJhdWQiOiJkMzFpY3FsNmw4eHpwYTdlZjMxenR4eXNzNDZvY2siLCJleHAiOjE2ODMzMjQyNjgsImlhdCI6MTY4MzMyMzM2OCwiaXNzIjoiaHR0cHM6Ly9pZC50d2l0Y2gudHYvb2F1dGgyIiwic3ViIjoiOTA0NDQ4NjkyIiwiZW1haWwiOiJ3YW5nam95am95MjAxOUBnbWFpbC5jb20iLCJub25jZSI6IkstcHdGcWRQUDNQVUJqbml6MlBvYkN1QXphY29uNnVoSFFOWkNNVm5DUGMifQ.", jwk: { "e": "AQAB", "kty": "RSA", "n": "6lq9MQ-q6hcxr7kOUp-tHlHtdcDsVLwVIw13iXUCvuDOeCi0VSuxCCUY6UmMjy53dX00ih2E4Y4UvlrmmurK0eG26b-HMNNAvCGsVXHU3RcRhVoHDaOwHwU72j7bpHn9XbP3Q3jebX6KIfNbei2MiR0Wyb8RZHE-aZhRYO8_-k9G2GycTpvc-2GBsP8VHLUKKfAs2B6sW3q3ymU6M0L-cFXkZ9fHkn9ejs-sqZPhMJxtBPBxoUIUQFTgv4VXTSv914f_YkNw-EjuwbgwXMvpyr06EyfImxHoxsZkFYB-qBYHtaMxTnFsZBr6fn8Ha2JqT1hoP7Z5r5wxDu3GQhKkHw" + }, + header: { + "alg": "RS256", + "typ": "JWT", + "kid": "1" + }, + payload: { + "aud": "d31icql6l8xzpa7ef31ztxyss46ock", + "exp": 1683324268, + "iat": 1683323368, + "iss": "https://id.twitch.tv/oauth2", + "sub": "904448692", + "email": "wangjoyjoy2019@gmail.com", + "nonce": "K-pwFqdPP3PUBjniz2PobCuAzacon6uhHQNZCMVnCPc" } } From 7b4c90047276fbda90a7fe140066d81b5c197ca5 Mon Sep 17 00:00:00 2001 From: Deepak Maram Date: Thu, 11 May 2023 15:40:48 -0400 Subject: [PATCH 09/32] Remove redundant JS bench (present in deepak/openid-bench). Make js/prove.js work --- openid-zkp-auth/bench/google_inputs.json | 1594 ----------------- openid-zkp-auth/bench/index.html | 15 - openid-zkp-auth/bench/prover.js | 35 - openid-zkp-auth/bench/snarkjs.min.js | 9 - openid-zkp-auth/bench/twitch_inputs.json | 1067 ----------- openid-zkp-auth/circuits/jwt_proof_ua.circom | 37 +- .../circuits/{main.circom => zklogin.circom} | 0 openid-zkp-auth/js/circuitutils.js | 3 +- openid-zkp-auth/js/prove.js | 25 +- 9 files changed, 36 insertions(+), 2749 deletions(-) delete mode 100644 openid-zkp-auth/bench/google_inputs.json delete mode 100644 openid-zkp-auth/bench/index.html delete mode 100644 openid-zkp-auth/bench/prover.js delete mode 100644 openid-zkp-auth/bench/snarkjs.min.js delete mode 100644 openid-zkp-auth/bench/twitch_inputs.json rename openid-zkp-auth/circuits/{main.circom => zklogin.circom} (100%) diff --git a/openid-zkp-auth/bench/google_inputs.json b/openid-zkp-auth/bench/google_inputs.json deleted file mode 100644 index 1885ef8450..0000000000 --- a/openid-zkp-auth/bench/google_inputs.json +++ /dev/null @@ -1,1594 +0,0 @@ -{ - "content": [ - "101", - "121", - "74", - "104", - "98", - "71", - "99", - "105", - "79", - "105", - "74", - "83", - "85", - "122", - "73", - "49", - "78", - "105", - "73", - "115", - "73", - "109", - "116", - "112", - "90", - "67", - "73", - "54", - "73", - "106", - "107", - "50", - "79", - "84", - "99", - "120", - "79", - "68", - "65", - "52", - "78", - "122", - "107", - "50", - "79", - "68", - "73", - "53", - "89", - "84", - "107", - "51", - "77", - "109", - "85", - "51", - "79", - "87", - "69", - "53", - "90", - "68", - "70", - "104", - "79", - "87", - "90", - "109", - "90", - "106", - "69", - "120", - "89", - "50", - "81", - "50", - "77", - "87", - "73", - "120", - "90", - "84", - "77", - "105", - "76", - "67", - "74", - "48", - "101", - "88", - "65", - "105", - "79", - "105", - "74", - "75", - "86", - "49", - "81", - "105", - "102", - "81", - "46", - "101", - "121", - "74", - "112", - "99", - "51", - "77", - "105", - "79", - "105", - "74", - "111", - "100", - "72", - "82", - "119", - 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- - - - Benchmarking - - -
- - -
- - - - diff --git a/openid-zkp-auth/bench/prover.js b/openid-zkp-auth/bench/prover.js deleted file mode 100644 index 9ad96c15c7..0000000000 --- a/openid-zkp-auth/bench/prover.js +++ /dev/null @@ -1,35 +0,0 @@ -const prove = async (inputsFile, wasmFile, zKeyFile) => { - console.log("Proving..."); - console.time("fullProve"); - - const inputs = await fetch(inputsFile).then( function(res) { - return res.json(); - }); - - const fullProof = await snarkjs.groth16.fullProve( - inputs, - wasmFile, - zKeyFile - ); - - console.log({ fullProof }); - console.timeEnd("fullProve"); -}; - -const verify = async (provider) => { - if (provider === "google") { - await prove( - "./google_inputs.json", - "../google/google_js/google.wasm", - "../google/google.zkey" - ); - } else if (provider === "twitch") { - await prove( - "./twitch_inputs.json", - "../twitch/twitch_js/twitch.wasm", - "../twitch/twitch.zkey" - ); - } else { - console.log("Invalid provider"); - } -}; \ No newline at end of file diff --git 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t=0;t>>0,t[o]=(t[o]^t[e])>>>0,t[o]=(t[o]<<16|t[o]>>>16&65535)>>>0,t[i]=t[i]+t[o]>>>0,t[a]=(t[a]^t[i])>>>0,t[a]=(t[a]<<12|t[a]>>>20&4095)>>>0,t[e]=t[e]+t[a]>>>0,t[o]=(t[o]^t[e])>>>0,t[o]=(t[o]<<8|t[o]>>>24&255)>>>0,t[i]=t[i]+t[o]>>>0,t[a]=(t[a]^t[i])>>>0,t[a]=(t[a]<<7|t[a]>>>25&127)>>>0}class ht{constructor(t){t=t||[0,0,0,0,0,0,0,0],this.state=[1634760805,857760878,2036477234,1797285236,t[0],t[1],t[2],t[3],t[4],t[5],t[6],t[7],0,0,0,0],this.idx=16,this.buff=new Array(16)}nextU32(){return 16==this.idx&&this.update(),this.buff[this.idx++]}nextU64(){return V(H(this.nextU32(),4294967296),this.nextU32())}nextBool(){return 1==(1&this.nextU32())}update(){for(let t=0;t<16;t++)this.buff[t]=this.state[t];for(let e=0;e<10;e++)pt(t=this.buff,0,4,8,12),pt(t,1,5,9,13),pt(t,2,6,10,14),pt(t,3,7,11,15),pt(t,0,5,10,15),pt(t,1,6,11,12),pt(t,2,7,8,13),pt(t,3,4,9,14);var t;for(let t=0;t<16;t++)this.buff[t]=this.buff[t]+this.state[t]>>>0;this.idx=0,this.state[12]=this.state[12]+1>>>0,0==this.state[12]&&(this.state[13]=this.state[13]+1>>>0,0==this.state[13]&&(this.state[14]=this.state[14]+1>>>0,0==this.state[14]&&(this.state[15]=this.state[15]+1>>>0)))}}var mt={};function Lt(t){let e=new Uint8Array(t);if(void 0!==globalThis.crypto)globalThis.crypto.getRandomValues(e);else for(let a=0;a>>0;return e}let wt=null;function bt(){return wt||(wt=new ht(function(){const t=Lt(32),e=new Uint32Array(t.buffer),a=[];for(let t=0;t<8;t++)a.push(e[t]);return a}()),wt)}class yt{constructor(t,e,a){this.F=e,this.G=t,this.opMulGF=a;let i=e.sqrt_t||e.t,o=e.sqrt_s||e.s,n=e.one;for(;e.eq(e.pow(n,e.half),e.one);)n=e.add(n,e.one);this.w=new Array(o+1),this.wi=new Array(o+1),this.w[o]=this.F.pow(n,i),this.wi[o]=this.F.inv(this.w[o]);let r=o-1;for(;r>=0;)this.w[r]=this.F.square(this.w[r+1]),this.wi[r]=this.F.square(this.wi[r+1]),r--;this.roots=[],this._setRoots(Math.min(o,15))}_setRoots(t){for(let e=t;e>=0&&!this.roots[e];e--){let t=this.F.one;const a=1<>1,s=It(t,e,a-1,i,2*o),l=It(t,e,a-1,i+o,2*o),c=new Array(n);for(let e=0;e>this.one,this.bitLength=P(this.p),this.mask=(this.one<>this.one;this.nqr=this.two;let a=this.pow(this.nqr,e);for(;!this.eq(a,this.negone);)this.nqr=this.nqr+this.one,a=this.pow(this.nqr,e);for(this.s=0,this.t=this.negone;(this.t&this.one)==this.zero;)this.s=this.s+1,this.t=this.t>>this.one;this.nqr_to_t=this.pow(this.nqr,this.t),_t(this),this.FFT=new yt(this,this,this.mul.bind(this)),this.fft=this.FFT.fft.bind(this.FFT),this.ifft=this.FFT.ifft.bind(this.FFT),this.w=this.FFT.w,this.wi=this.FFT.wi,this.shift=this.square(this.nqr),this.k=this.exp(this.nqr,2**this.s)}e(t,e){let a;if(e?16==e&&(a=BigInt("0x"+t)):a=BigInt(t),a<0){let t=-a;return t>=this.p&&(t%=this.p),this.p-t}return a>=this.p?a%this.p:a}add(t,e){const a=t+e;return a>=this.p?a-this.p:a}sub(t,e){return t>=e?t-e:this.p-e+t}neg(t){return t?this.p-t:t}mul(t,e){return t*e%this.p}mulScalar(t,e){return t*this.e(e)%this.p}square(t){return t*t%this.p}eq(t,e){return t==e}neq(t,e){return t!=e}lt(t,e){return(t>this.half?t-this.p:t)<(e>this.half?e-this.p:e)}gt(t,e){return(t>this.half?t-this.p:t)>(e>this.half?e-this.p:e)}leq(t,e){return(t>this.half?t-this.p:t)<=(e>this.half?e-this.p:e)}geq(t,e){return(t>this.half?t-this.p:t)>=(e>this.half?e-this.p:e)}div(t,e){return this.mul(t,this.inv(e))}idiv(t,e){if(!e)throw new Error("Division by zero");return t/e}inv(t){if(!t)throw new Error("Division by zero");let e=this.zero,a=this.p,i=this.one,o=t%this.p;for(;o;){let t=a/o;[e,i]=[i,e-t*i],[a,o]=[o,a-t*o]}return e=this.p?a-this.p:a}bor(t,e){const a=(t|e)&this.mask;return a>=this.p?a-this.p:a}bxor(t,e){const a=(t^e)&this.mask;return a>=this.p?a-this.p:a}bnot(t){const e=t^this.mask;return e>=this.p?e-this.p:e}shl(t,e){if(Number(e)=this.p?a-this.p:a}{const a=this.p-e;return Number(a)>a:this.zero}}shr(t,e){if(Number(e)>e;{const a=this.p-e;if(Number(a)=this.p?e-this.p:e}return 0}}land(t,e){return t&&e?this.one:this.zero}lor(t,e){return t||e?this.one:this.zero}lnot(t){return t?this.zero:this.one}sqrt_old(t){if(t==this.zero)return this.zero;if(this.pow(t,this.negone>>this.one)!=this.one)return null;let e=this.s,a=this.nqr_to_t,i=this.pow(t,this.t),o=this.pow(t,this.add(this.t,this.one)>>this.one);for(;i!=this.one;){let t=this.square(i),n=1;for(;t!=this.one;)n++,t=this.square(t);let r=a;for(let t=0;tthis.p>>this.one&&(o=this.neg(o)),o}normalize(t,e){if((t=BigInt(t,e))<0){let e=-t;return e>=this.p&&(e%=this.p),this.p-e}return t>=this.p?t%this.p:t}random(){const t=2*this.bitLength/8;let e=this.zero;for(let a=0;athis.half&&10==e){a="-"+(this.p-t).toString(e)}else a=t.toString(e);return a}isZero(t){return t==this.zero}fromRng(t){let e;do{e=this.zero;for(let a=0;a=this.p);return e=e*this.Ri%this.p,e}fft(t){return this.FFT.fft(t)}ifft(t){return this.FFT.ifft(t)}}class Ft{constructor(t){this.type="F1",this.one=u.one,this.zero=u.zero,this.p=u(t),this.m=1,this.negone=this.p.minus(u.one),this.two=u(2),this.half=this.p.shiftRight(1),this.bitLength=this.p.bitLength(),this.mask=u.one.shiftLeft(this.bitLength).minus(u.one),this.n64=Math.floor((this.bitLength-1)/64)+1,this.n32=2*this.n64,this.n8=8*this.n64,this.R=u.one.shiftLeft(64*this.n64),this.Ri=this.inv(this.R);const e=this.negone.shiftRight(this.one);this.nqr=this.two;let a=this.pow(this.nqr,e);for(;!a.equals(this.negone);)this.nqr=this.nqr.add(this.one),a=this.pow(this.nqr,e);for(this.s=this.zero,this.t=this.negone;!this.t.isOdd();)this.s=this.s.add(this.one),this.t=this.t.shiftRight(this.one);this.nqr_to_t=this.pow(this.nqr,this.t),_t(this),this.FFT=new Ct(this,this,this.mul.bind(this)),this.fft=this.FFT.fft.bind(this.FFT),this.ifft=this.FFT.ifft.bind(this.FFT),this.w=this.FFT.w,this.wi=this.FFT.wi,this.shift=this.square(this.nqr),this.k=this.exp(this.nqr,2**this.s)}e(t,e){const a=u(t,e);return this.normalize(a)}add(t,e){let a=t.add(e);return a.geq(this.p)&&(a=a.minus(this.p)),a}sub(t,e){return t.geq(e)?t.minus(e):this.p.minus(e.minus(t))}neg(t){return t.isZero()?t:this.p.minus(t)}mul(t,e){return t.times(e).mod(this.p)}mulScalar(t,e){return t.times(u(e)).mod(this.p)}square(t){return t.square().mod(this.p)}eq(t,e){return t.eq(e)}neq(t,e){return t.neq(e)}lt(t,e){const a=t.gt(this.half)?t.minus(this.p):t,i=e.gt(this.half)?e.minus(this.p):e;return a.lt(i)}gt(t,e){const a=t.gt(this.half)?t.minus(this.p):t,i=e.gt(this.half)?e.minus(this.p):e;return a.gt(i)}leq(t,e){const a=t.gt(this.half)?t.minus(this.p):t,i=e.gt(this.half)?e.minus(this.p):e;return a.leq(i)}geq(t,e){const a=t.gt(this.half)?t.minus(this.p):t,i=e.gt(this.half)?e.minus(this.p):e;return a.geq(i)}div(t,e){if(e.isZero())throw new Error("Division by zero");return t.times(e.modInv(this.p)).mod(this.p)}idiv(t,e){if(e.isZero())throw new Error("Division by zero");return t.divide(e)}inv(t){if(t.isZero())throw new Error("Division by zero");return t.modInv(this.p)}mod(t,e){return t.mod(e)}pow(t,e){return t.modPow(e,this.p)}exp(t,e){return t.modPow(e,this.p)}band(t,e){return t.and(e).and(this.mask).mod(this.p)}bor(t,e){return t.or(e).and(this.mask).mod(this.p)}bxor(t,e){return t.xor(e).and(this.mask).mod(this.p)}bnot(t){return t.xor(this.mask).mod(this.p)}shl(t,e){if(e.lt(this.bitLength))return t.shiftLeft(e).and(this.mask).mod(this.p);{const a=this.p.minus(e);return a.lt(this.bitLength)?this.shr(t,a):u.zero}}shr(t,e){if(e.lt(this.bitLength))return t.shiftRight(e);{const a=this.p.minus(e);return a.lt(this.bitLength)?this.shl(t,a):u.zero}}land(t,e){return t.isZero()||e.isZero()?u.zero:u.one}lor(t,e){return t.isZero()&&e.isZero()?u.zero:u.one}lnot(t){return t.isZero()?u.one:u.zero}sqrt_old(t){if(t.equals(this.zero))return this.zero;if(!this.pow(t,this.negone.shiftRight(this.one)).equals(this.one))return null;let e=parseInt(this.s),a=this.nqr_to_t,i=this.pow(t,this.t),o=this.pow(t,this.add(this.t,this.one).shiftRight(this.one));for(;!i.equals(this.one);){let t=this.square(i),n=1;for(;!t.equals(this.one);)n++,t=this.square(t);let r=a;for(let t=0;t>e)),[...l.setLocal("b",l.i32_sub(l.getLocal("b"),l.i32_const(128>>e))),...l.call(i,l.getLocal("r"),c,l.getLocal("r"))]));return t}(),l.br_if(1,l.i32_eqz(l.getLocal("i"))),l.br(0))))},Ut=function(t,e){const a=8*t.modules[e].n64,i=t.addFunction(e+"_batchInverse");i.addParam("pIn","i32"),i.addParam("inStep","i32"),i.addParam("n","i32"),i.addParam("pOut","i32"),i.addParam("outStep","i32"),i.addLocal("itAux","i32"),i.addLocal("itIn","i32"),i.addLocal("itOut","i32"),i.addLocal("i","i32");const o=i.getCodeBuilder(),n=o.i32_const(t.alloc(a));i.addCode(o.setLocal("itAux",o.i32_load(o.i32_const(0))),o.i32_store(o.i32_const(0),o.i32_add(o.getLocal("itAux"),o.i32_mul(o.i32_add(o.getLocal("n"),o.i32_const(1)),o.i32_const(a))))),i.addCode(o.call(e+"_one",o.getLocal("itAux")),o.setLocal("itIn",o.getLocal("pIn")),o.setLocal("itAux",o.i32_add(o.getLocal("itAux"),o.i32_const(a))),o.setLocal("i",o.i32_const(0)),o.block(o.loop(o.br_if(1,o.i32_eq(o.getLocal("i"),o.getLocal("n"))),o.if(o.call(e+"_isZero",o.getLocal("itIn")),o.call(e+"_copy",o.i32_sub(o.getLocal("itAux"),o.i32_const(a)),o.getLocal("itAux")),o.call(e+"_mul",o.getLocal("itIn"),o.i32_sub(o.getLocal("itAux"),o.i32_const(a)),o.getLocal("itAux"))),o.setLocal("itIn",o.i32_add(o.getLocal("itIn"),o.getLocal("inStep"))),o.setLocal("itAux",o.i32_add(o.getLocal("itAux"),o.i32_const(a))),o.setLocal("i",o.i32_add(o.getLocal("i"),o.i32_const(1))),o.br(0))),o.setLocal("itIn",o.i32_sub(o.getLocal("itIn"),o.getLocal("inStep"))),o.setLocal("itAux",o.i32_sub(o.getLocal("itAux"),o.i32_const(a))),o.setLocal("itOut",o.i32_add(o.getLocal("pOut"),o.i32_mul(o.i32_sub(o.getLocal("n"),o.i32_const(1)),o.getLocal("outStep")))),o.call(e+"_inverse",o.getLocal("itAux"),o.getLocal("itAux")),o.block(o.loop(o.br_if(1,o.i32_eqz(o.getLocal("i"))),o.if(o.call(e+"_isZero",o.getLocal("itIn")),[...o.call(e+"_copy",o.getLocal("itAux"),o.i32_sub(o.getLocal("itAux"),o.i32_const(a))),...o.call(e+"_zero",o.getLocal("itOut"))],[...o.call(e+"_copy",o.i32_sub(o.getLocal("itAux"),o.i32_const(a)),n),...o.call(e+"_mul",o.getLocal("itAux"),o.getLocal("itIn"),o.i32_sub(o.getLocal("itAux"),o.i32_const(a))),...o.call(e+"_mul",o.getLocal("itAux"),n,o.getLocal("itOut"))]),o.setLocal("itIn",o.i32_sub(o.getLocal("itIn"),o.getLocal("inStep"))),o.setLocal("itOut",o.i32_sub(o.getLocal("itOut"),o.getLocal("outStep"))),o.setLocal("itAux",o.i32_sub(o.getLocal("itAux"),o.i32_const(a))),o.setLocal("i",o.i32_sub(o.getLocal("i"),o.i32_const(1))),o.br(0)))),i.addCode(o.i32_store(o.i32_const(0),o.getLocal("itAux")))};var zt=function(t,e,a,i,o,n){void 0===n&&(n=i>1&&i>1,t>>1)))),e.addCode(a.setLocal(l,a.i64_add(a.getLocal(l),a.i64_shr_u(a.getLocal(s),a.i64_const(32)))))),t>0&&(e.addCode(a.setLocal(s,a.i64_add(a.i64_and(a.getLocal(s),a.i64_const(4294967295)),a.i64_and(a.getLocal(c),a.i64_const(4294967295))))),e.addCode(a.setLocal(l,a.i64_add(a.i64_add(a.getLocal(l),a.i64_shr_u(a.getLocal(s),a.i64_const(32))),a.getLocal(d))))),e.addCode(a.i64_store32(a.getLocal("r"),4*t,a.getLocal(s))),e.addCode(a.setLocal(c,a.getLocal(l)),a.setLocal(d,a.i64_shr_u(a.getLocal(c),a.i64_const(32))))}e.addCode(a.i64_store32(a.getLocal("r"),4*o*2-4,a.getLocal(c)))}(),function(){const e=t.addFunction(i+"_squareOld");e.addParam("x","i32"),e.addParam("r","i32");const a=e.getCodeBuilder();e.addCode(a.call(i+"_mul",a.getLocal("x"),a.getLocal("x"),a.getLocal("r")))}(),function(){!function(){const e=t.addFunction(i+"__mul1");e.addParam("px","i32"),e.addParam("y","i64"),e.addParam("pr","i32"),e.addLocal("c","i64");const a=e.getCodeBuilder();e.addCode(a.setLocal("c",a.i64_mul(a.i64_load32_u(a.getLocal("px"),0,0),a.getLocal("y")))),e.addCode(a.i64_store32(a.getLocal("pr"),0,0,a.getLocal("c")));for(let t=1;t=r&&e.addCode(a.i64_store32(a.getLocal("r"),4*(t-r),a.getLocal(_))),[_,p]=[p,_],e.addCode(a.setLocal(p,a.i64_shr_u(a.getLocal(_),a.i64_const(32))))}e.addCode(a.i64_store32(a.getLocal("r"),4*r-4,a.getLocal(_))),e.addCode(a.if(a.i32_wrap_i64(a.getLocal(p)),a.drop(a.call(c+"_sub",a.getLocal("r"),a.i32_const(d),a.getLocal("r"))),a.if(a.call(c+"_gte",a.getLocal("r"),a.i32_const(d)),a.drop(a.call(c+"_sub",a.getLocal("r"),a.i32_const(d),a.getLocal("r"))))))}(),function(){const e=t.addFunction(l+"_square");e.addParam("x","i32"),e.addParam("r","i32"),e.addLocal("c0","i64"),e.addLocal("c1","i64"),e.addLocal("c0_old","i64"),e.addLocal("c1_old","i64"),e.addLocal("np32","i64");for(let t=0;t>1&&i>1,t>>1)))),e.addCode(a.setLocal(_,a.i64_add(a.getLocal(_),a.i64_shr_u(a.getLocal(f),a.i64_const(32)))))),t>0&&(e.addCode(a.setLocal(f,a.i64_add(a.i64_and(a.getLocal(f),a.i64_const(4294967295)),a.i64_and(a.getLocal(p),a.i64_const(4294967295))))),e.addCode(a.setLocal(_,a.i64_add(a.i64_add(a.getLocal(_),a.i64_shr_u(a.getLocal(f),a.i64_const(32))),a.getLocal(h)))));for(let i=Math.max(1,t-r+1);i<=t&&i=r&&e.addCode(a.i64_store32(a.getLocal("r"),4*(t-r),a.getLocal(f))),e.addCode(a.setLocal(p,a.getLocal(_)),a.setLocal(h,a.i64_shr_u(a.getLocal(p),a.i64_const(32))))}e.addCode(a.i64_store32(a.getLocal("r"),4*r-4,a.getLocal(p))),e.addCode(a.if(a.i32_wrap_i64(a.getLocal(h)),a.drop(a.call(c+"_sub",a.getLocal("r"),a.i32_const(d),a.getLocal("r"))),a.if(a.call(c+"_gte",a.getLocal("r"),a.i32_const(d)),a.drop(a.call(c+"_sub",a.getLocal("r"),a.i32_const(d),a.getLocal("r"))))))}(),function(){const e=t.addFunction(l+"_squareOld");e.addParam("x","i32"),e.addParam("r","i32");const a=e.getCodeBuilder();e.addCode(a.call(l+"_mul",a.getLocal("x"),a.getLocal("x"),a.getLocal("r")))}(),function(){const e=t.addFunction(l+"_toMontgomery");e.addParam("x","i32"),e.addParam("r","i32");const a=e.getCodeBuilder();e.addCode(a.call(l+"_mul",a.getLocal("x"),a.i32_const(u),a.getLocal("r")))}(),function(){const e=t.alloc(2*s),a=t.addFunction(l+"_fromMontgomery");a.addParam("x","i32"),a.addParam("r","i32");const i=a.getCodeBuilder();a.addCode(i.call(c+"_copy",i.getLocal("x"),i.i32_const(e))),a.addCode(i.call(c+"_zero",i.i32_const(e+s))),a.addCode(i.call(l+"_mReduct",i.i32_const(e),i.getLocal("r")))}(),function(){const e=t.addFunction(l+"_isNegative");e.addParam("x","i32"),e.setReturnType("i32");const a=e.getCodeBuilder(),i=a.i32_const(t.alloc(s));e.addCode(a.call(l+"_fromMontgomery",a.getLocal("x"),i),a.call(c+"_gte",i,a.i32_const(L)))}(),function(){const e=t.addFunction(l+"_sign");e.addParam("x","i32"),e.setReturnType("i32");const a=e.getCodeBuilder(),i=a.i32_const(t.alloc(s));e.addCode(a.if(a.call(c+"_isZero",a.getLocal("x")),a.ret(a.i32_const(0))),a.call(l+"_fromMontgomery",a.getLocal("x"),i),a.if(a.call(c+"_gte",i,a.i32_const(L)),a.ret(a.i32_const(-1))),a.ret(a.i32_const(1)))}(),function(){const e=t.addFunction(l+"_inverse");e.addParam("x","i32"),e.addParam("r","i32");const a=e.getCodeBuilder();e.addCode(a.call(l+"_fromMontgomery",a.getLocal("x"),a.getLocal("r"))),e.addCode(a.call(c+"_inverseMod",a.getLocal("r"),a.i32_const(d),a.getLocal("r"))),e.addCode(a.call(l+"_toMontgomery",a.getLocal("r"),a.getLocal("r")))}(),function(){const e=t.addFunction(l+"_one");e.addParam("pr","i32");const a=e.getCodeBuilder();e.addCode(a.call(c+"_copy",a.i32_const(g),a.getLocal("pr")))}(),function(){const e=t.addFunction(l+"_load");e.addParam("scalar","i32"),e.addParam("scalarLen","i32"),e.addParam("r","i32"),e.addLocal("p","i32"),e.addLocal("l","i32"),e.addLocal("i","i32"),e.addLocal("j","i32");const a=e.getCodeBuilder(),i=a.i32_const(t.alloc(s)),o=t.alloc(s),n=a.i32_const(o);e.addCode(a.call(c+"_zero",a.getLocal("r")),a.setLocal("i",a.i32_const(s)),a.setLocal("p",a.getLocal("scalar")),a.block(a.loop(a.br_if(1,a.i32_gt_u(a.getLocal("i"),a.getLocal("scalarLen"))),a.if(a.i32_eq(a.getLocal("i"),a.i32_const(s)),a.call(l+"_one",i),a.call(l+"_mul",i,a.i32_const(u),i)),a.call(l+"_mul",a.getLocal("p"),i,n),a.call(l+"_add",a.getLocal("r"),n,a.getLocal("r")),a.setLocal("p",a.i32_add(a.getLocal("p"),a.i32_const(s))),a.setLocal("i",a.i32_add(a.getLocal("i"),a.i32_const(s))),a.br(0))),a.setLocal("l",a.i32_rem_u(a.getLocal("scalarLen"),a.i32_const(s))),a.if(a.i32_eqz(a.getLocal("l")),a.ret([])),a.call(c+"_zero",n),a.setLocal("j",a.i32_const(0)),a.block(a.loop(a.br_if(1,a.i32_eq(a.getLocal("j"),a.getLocal("l"))),a.i32_store8(a.getLocal("j"),o,a.i32_load8_u(a.getLocal("p"))),a.setLocal("p",a.i32_add(a.getLocal("p"),a.i32_const(1))),a.setLocal("j",a.i32_add(a.getLocal("j"),a.i32_const(1))),a.br(0))),a.if(a.i32_eq(a.getLocal("i"),a.i32_const(s)),a.call(l+"_one",i),a.call(l+"_mul",i,a.i32_const(u),i)),a.call(l+"_mul",n,i,n),a.call(l+"_add",a.getLocal("r"),n,a.getLocal("r")))}(),function(){const e=t.addFunction(l+"_timesScalar");e.addParam("x","i32"),e.addParam("scalar","i32"),e.addParam("scalarLen","i32"),e.addParam("r","i32");const a=e.getCodeBuilder(),i=a.i32_const(t.alloc(s));e.addCode(a.call(l+"_load",a.getLocal("scalar"),a.getLocal("scalarLen"),i),a.call(l+"_toMontgomery",i,i),a.call(l+"_mul",a.getLocal("x"),i,a.getLocal("r")))}(),Rt(t,l),Nt(t,l+"_batchToMontgomery",l+"_toMontgomery",s,s),Nt(t,l+"_batchFromMontgomery",l+"_fromMontgomery",s,s),Nt(t,l+"_batchNeg",l+"_neg",s,s),Dt(t,l+"_batchAdd",l+"_add",s,s),Dt(t,l+"_batchSub",l+"_sub",s,s),Dt(t,l+"_batchMul",l+"_mul",s,s),t.exportFunction(l+"_add"),t.exportFunction(l+"_sub"),t.exportFunction(l+"_neg"),t.exportFunction(l+"_isNegative"),t.exportFunction(l+"_isOne"),t.exportFunction(l+"_sign"),t.exportFunction(l+"_mReduct"),t.exportFunction(l+"_mul"),t.exportFunction(l+"_square"),t.exportFunction(l+"_squareOld"),t.exportFunction(l+"_fromMontgomery"),t.exportFunction(l+"_toMontgomery"),t.exportFunction(l+"_inverse"),t.exportFunction(l+"_one"),t.exportFunction(l+"_load"),t.exportFunction(l+"_timesScalar"),kt(t,l+"_exp",s,l+"_mul",l+"_square",c+"_copy",l+"_one"),t.exportFunction(l+"_exp"),t.exportFunction(l+"_batchInverse"),o.isPrime()&&(!function(){const e=t.addFunction(l+"_sqrt");e.addParam("n","i32"),e.addParam("r","i32"),e.addLocal("m","i32"),e.addLocal("i","i32"),e.addLocal("j","i32");const a=e.getCodeBuilder(),i=a.i32_const(g),o=a.i32_const(t.alloc(s)),n=a.i32_const(t.alloc(s)),r=a.i32_const(t.alloc(s)),c=a.i32_const(t.alloc(s)),d=a.i32_const(t.alloc(s));e.addCode(a.if(a.call(l+"_isZero",a.getLocal("n")),a.ret(a.call(l+"_zero",a.getLocal("r")))),a.setLocal("m",a.i32_const(b)),a.call(l+"_copy",a.i32_const(C),o),a.call(l+"_exp",a.getLocal("n"),a.i32_const(A),a.i32_const(s),n),a.call(l+"_exp",a.getLocal("n"),a.i32_const(F),a.i32_const(s),r),a.block(a.loop(a.br_if(1,a.call(l+"_eq",n,i)),a.call(l+"_square",n,c),a.setLocal("i",a.i32_const(1)),a.block(a.loop(a.br_if(1,a.call(l+"_eq",c,i)),a.call(l+"_square",c,c),a.setLocal("i",a.i32_add(a.getLocal("i"),a.i32_const(1))),a.br(0))),a.call(l+"_copy",o,d),a.setLocal("j",a.i32_sub(a.i32_sub(a.getLocal("m"),a.getLocal("i")),a.i32_const(1))),a.block(a.loop(a.br_if(1,a.i32_eqz(a.getLocal("j"))),a.call(l+"_square",d,d),a.setLocal("j",a.i32_sub(a.getLocal("j"),a.i32_const(1))),a.br(0))),a.setLocal("m",a.getLocal("i")),a.call(l+"_square",d,o),a.call(l+"_mul",n,o,n),a.call(l+"_mul",r,d,r),a.br(0))),a.if(a.call(l+"_isNegative",r),a.call(l+"_neg",r,a.getLocal("r")),a.call(l+"_copy",r,a.getLocal("r"))))}(),function(){const e=t.addFunction(l+"_isSquare");e.addParam("n","i32"),e.setReturnType("i32");const a=e.getCodeBuilder(),i=a.i32_const(g),o=a.i32_const(t.alloc(s));e.addCode(a.if(a.call(l+"_isZero",a.getLocal("n")),a.ret(a.i32_const(1))),a.call(l+"_exp",a.getLocal("n"),a.i32_const(h),a.i32_const(s),o),a.call(l+"_eq",o,i))}(),t.exportFunction(l+"_sqrt"),t.exportFunction(l+"_isSquare")),t.exportFunction(l+"_batchToMontgomery"),t.exportFunction(l+"_batchFromMontgomery"),l};const jt=d.exports,Kt=Vt;var Ht=function(t,e,a,i,o){const n=jt(e),r=Math.floor((n.minus(1).bitLength()-1)/64)+1,s=8*r,l=a||"f1";if(t.modules[l])return l;t.modules[l]={n64:r};const c=o||"int",d=Kt(t,n,i,c),u=t.modules[d].pR2,g=t.modules[d].pq,f=t.modules[d].pePlusOne;return function(){const e=t.alloc(s),a=t.addFunction(l+"_mul");a.addParam("x","i32"),a.addParam("y","i32"),a.addParam("r","i32");const i=a.getCodeBuilder();a.addCode(i.call(d+"_mul",i.getLocal("x"),i.getLocal("y"),i.i32_const(e))),a.addCode(i.call(d+"_mul",i.i32_const(e),i.i32_const(u),i.getLocal("r")))}(),function(){const e=t.addFunction(l+"_square");e.addParam("x","i32"),e.addParam("r","i32");const a=e.getCodeBuilder();e.addCode(a.call(l+"_mul",a.getLocal("x"),a.getLocal("x"),a.getLocal("r")))}(),function(){const e=t.addFunction(l+"_inverse");e.addParam("x","i32"),e.addParam("r","i32");const a=e.getCodeBuilder();e.addCode(a.call(c+"_inverseMod",a.getLocal("x"),a.i32_const(g),a.getLocal("r")))}(),function(){const e=t.addFunction(l+"_isNegative");e.addParam("x","i32"),e.setReturnType("i32");const a=e.getCodeBuilder();e.addCode(a.call(c+"_gte",a.getLocal("x"),a.i32_const(f)))}(),t.exportFunction(d+"_add",l+"_add"),t.exportFunction(d+"_sub",l+"_sub"),t.exportFunction(d+"_neg",l+"_neg"),t.exportFunction(l+"_mul"),t.exportFunction(l+"_square"),t.exportFunction(l+"_inverse"),t.exportFunction(l+"_isNegative"),t.exportFunction(d+"_copy",l+"_copy"),t.exportFunction(d+"_zero",l+"_zero"),t.exportFunction(d+"_one",l+"_one"),t.exportFunction(d+"_isZero",l+"_isZero"),t.exportFunction(d+"_eq",l+"_eq"),l};const $t=Ot,Zt=Ut,Jt=d.exports,Yt=St;var Wt=function(t,e,a,i){if(t.modules[a])return a;const o=8*t.modules[i].n64,n=t.modules[i].q;return t.modules[a]={n64:2*t.modules[i].n64},function(){const e=t.addFunction(a+"_isZero");e.addParam("x","i32"),e.setReturnType("i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o));e.addCode(n.i32_and(n.call(i+"_isZero",r),n.call(i+"_isZero",s)))}(),function(){const e=t.addFunction(a+"_isOne");e.addParam("x","i32"),e.setReturnType("i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o));e.addCode(n.ret(n.i32_and(n.call(i+"_isOne",r),n.call(i+"_isZero",s))))}(),function(){const e=t.addFunction(a+"_zero");e.addParam("x","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o));e.addCode(n.call(i+"_zero",r),n.call(i+"_zero",s))}(),function(){const e=t.addFunction(a+"_one");e.addParam("x","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o));e.addCode(n.call(i+"_one",r),n.call(i+"_zero",s))}(),function(){const e=t.addFunction(a+"_copy");e.addParam("x","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("r"),c=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_copy",r,l),n.call(i+"_copy",s,c))}(),function(){const n=t.addFunction(a+"_mul");n.addParam("x","i32"),n.addParam("y","i32"),n.addParam("r","i32");const r=n.getCodeBuilder(),s=r.getLocal("x"),l=r.i32_add(r.getLocal("x"),r.i32_const(o)),c=r.getLocal("y"),d=r.i32_add(r.getLocal("y"),r.i32_const(o)),u=r.getLocal("r"),g=r.i32_add(r.getLocal("r"),r.i32_const(o)),f=r.i32_const(t.alloc(o)),_=r.i32_const(t.alloc(o)),p=r.i32_const(t.alloc(o)),h=r.i32_const(t.alloc(o));n.addCode(r.call(i+"_mul",s,c,f),r.call(i+"_mul",l,d,_),r.call(i+"_add",s,l,p),r.call(i+"_add",c,d,h),r.call(i+"_mul",p,h,p),r.call(e,_,u),r.call(i+"_add",f,u,u),r.call(i+"_add",f,_,g),r.call(i+"_sub",p,g,g))}(),function(){const e=t.addFunction(a+"_mul1");e.addParam("x","i32"),e.addParam("y","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("y"),c=n.getLocal("r"),d=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_mul",r,l,c),n.call(i+"_mul",s,l,d))}(),function(){const n=t.addFunction(a+"_square");n.addParam("x","i32"),n.addParam("r","i32");const r=n.getCodeBuilder(),s=r.getLocal("x"),l=r.i32_add(r.getLocal("x"),r.i32_const(o)),c=r.getLocal("r"),d=r.i32_add(r.getLocal("r"),r.i32_const(o)),u=r.i32_const(t.alloc(o)),g=r.i32_const(t.alloc(o)),f=r.i32_const(t.alloc(o)),_=r.i32_const(t.alloc(o));n.addCode(r.call(i+"_mul",s,l,u),r.call(i+"_add",s,l,g),r.call(e,l,f),r.call(i+"_add",s,f,f),r.call(e,u,_),r.call(i+"_add",_,u,_),r.call(i+"_mul",g,f,c),r.call(i+"_sub",c,_,c),r.call(i+"_add",u,u,d))}(),function(){const e=t.addFunction(a+"_add");e.addParam("x","i32"),e.addParam("y","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("y"),c=n.i32_add(n.getLocal("y"),n.i32_const(o)),d=n.getLocal("r"),u=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_add",r,l,d),n.call(i+"_add",s,c,u))}(),function(){const e=t.addFunction(a+"_sub");e.addParam("x","i32"),e.addParam("y","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("y"),c=n.i32_add(n.getLocal("y"),n.i32_const(o)),d=n.getLocal("r"),u=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_sub",r,l,d),n.call(i+"_sub",s,c,u))}(),function(){const e=t.addFunction(a+"_neg");e.addParam("x","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("r"),c=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_neg",r,l),n.call(i+"_neg",s,c))}(),function(){const e=t.addFunction(a+"_conjugate");e.addParam("x","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("r"),c=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_copy",r,l),n.call(i+"_neg",s,c))}(),function(){const e=t.addFunction(a+"_toMontgomery");e.addParam("x","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("r"),c=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_toMontgomery",r,l),n.call(i+"_toMontgomery",s,c))}(),function(){const e=t.addFunction(a+"_fromMontgomery");e.addParam("x","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("r"),c=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_fromMontgomery",r,l),n.call(i+"_fromMontgomery",s,c))}(),function(){const e=t.addFunction(a+"_eq");e.addParam("x","i32"),e.addParam("y","i32"),e.setReturnType("i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("y"),c=n.i32_add(n.getLocal("y"),n.i32_const(o));e.addCode(n.i32_and(n.call(i+"_eq",r,l),n.call(i+"_eq",s,c)))}(),function(){const n=t.addFunction(a+"_inverse");n.addParam("x","i32"),n.addParam("r","i32");const r=n.getCodeBuilder(),s=r.getLocal("x"),l=r.i32_add(r.getLocal("x"),r.i32_const(o)),c=r.getLocal("r"),d=r.i32_add(r.getLocal("r"),r.i32_const(o)),u=r.i32_const(t.alloc(o)),g=r.i32_const(t.alloc(o)),f=r.i32_const(t.alloc(o)),_=r.i32_const(t.alloc(o));n.addCode(r.call(i+"_square",s,u),r.call(i+"_square",l,g),r.call(e,g,f),r.call(i+"_sub",u,f,f),r.call(i+"_inverse",f,_),r.call(i+"_mul",s,_,c),r.call(i+"_mul",l,_,d),r.call(i+"_neg",d,d))}(),function(){const e=t.addFunction(a+"_timesScalar");e.addParam("x","i32"),e.addParam("scalar","i32"),e.addParam("scalarLen","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.getLocal("r"),c=n.i32_add(n.getLocal("r"),n.i32_const(o));e.addCode(n.call(i+"_timesScalar",r,n.getLocal("scalar"),n.getLocal("scalarLen"),l),n.call(i+"_timesScalar",s,n.getLocal("scalar"),n.getLocal("scalarLen"),c))}(),function(){const e=t.addFunction(a+"_sign");e.addParam("x","i32"),e.addLocal("s","i32"),e.setReturnType("i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o));e.addCode(n.setLocal("s",n.call(i+"_sign",s)),n.if(n.getLocal("s"),n.ret(n.getLocal("s"))),n.ret(n.call(i+"_sign",r)))}(),function(){const e=t.addFunction(a+"_isNegative");e.addParam("x","i32"),e.setReturnType("i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o));e.addCode(n.if(n.call(i+"_isZero",s),n.ret(n.call(i+"_isNegative",r))),n.ret(n.call(i+"_isNegative",s)))}(),t.exportFunction(a+"_isZero"),t.exportFunction(a+"_isOne"),t.exportFunction(a+"_zero"),t.exportFunction(a+"_one"),t.exportFunction(a+"_copy"),t.exportFunction(a+"_mul"),t.exportFunction(a+"_mul1"),t.exportFunction(a+"_square"),t.exportFunction(a+"_add"),t.exportFunction(a+"_sub"),t.exportFunction(a+"_neg"),t.exportFunction(a+"_sign"),t.exportFunction(a+"_conjugate"),t.exportFunction(a+"_fromMontgomery"),t.exportFunction(a+"_toMontgomery"),t.exportFunction(a+"_eq"),t.exportFunction(a+"_inverse"),Zt(t,a),$t(t,a+"_exp",2*o,a+"_mul",a+"_square",a+"_copy",a+"_one"),function(){const e=t.addFunction(a+"_sqrt");e.addParam("a","i32"),e.addParam("pr","i32");const r=e.getCodeBuilder(),s=r.i32_const(t.alloc(Yt.bigInt2BytesLE(Jt(n).minus(Jt(3)).divide(4),o))),l=r.i32_const(t.alloc(Yt.bigInt2BytesLE(Jt(n).minus(Jt(1)).divide(2),o))),c=r.getLocal("a"),d=r.i32_const(t.alloc(2*o)),u=r.i32_const(t.alloc(2*o)),g=r.i32_const(t.alloc(2*o)),f=t.alloc(2*o),_=r.i32_const(f),p=r.i32_const(f),h=r.i32_const(f+o),m=r.i32_const(t.alloc(2*o)),L=r.i32_const(t.alloc(2*o));e.addCode(r.call(a+"_one",_),r.call(a+"_neg",_,_),r.call(a+"_exp",c,s,r.i32_const(o),d),r.call(a+"_square",d,u),r.call(a+"_mul",c,u,u),r.call(a+"_conjugate",u,g),r.call(a+"_mul",g,u,g),r.if(r.call(a+"_eq",g,_),r.unreachable()),r.call(a+"_mul",d,c,m),r.if(r.call(a+"_eq",u,_),[...r.call(i+"_zero",p),...r.call(i+"_one",h),...r.call(a+"_mul",_,m,r.getLocal("pr"))],[...r.call(a+"_one",L),...r.call(a+"_add",L,u,L),...r.call(a+"_exp",L,l,r.i32_const(o),L),...r.call(a+"_mul",L,m,r.getLocal("pr"))]))}(),function(){const e=t.addFunction(a+"_isSquare");e.addParam("a","i32"),e.setReturnType("i32");const i=e.getCodeBuilder(),r=i.i32_const(t.alloc(Yt.bigInt2BytesLE(Jt(n).minus(Jt(3)).divide(4),o))),s=i.getLocal("a"),l=i.i32_const(t.alloc(2*o)),c=i.i32_const(t.alloc(2*o)),d=i.i32_const(t.alloc(2*o)),u=t.alloc(2*o),g=i.i32_const(u);e.addCode(i.call(a+"_one",g),i.call(a+"_neg",g,g),i.call(a+"_exp",s,r,i.i32_const(o),l),i.call(a+"_square",l,c),i.call(a+"_mul",s,c,c),i.call(a+"_conjugate",c,d),i.call(a+"_mul",d,c,d),i.if(i.call(a+"_eq",d,g),i.ret(i.i32_const(0))),i.ret(i.i32_const(1)))}(),t.exportFunction(a+"_exp"),t.exportFunction(a+"_timesScalar"),t.exportFunction(a+"_batchInverse"),t.exportFunction(a+"_sqrt"),t.exportFunction(a+"_isSquare"),t.exportFunction(a+"_isNegative"),a};const Xt=Ot,te=Ut;var ee=function(t,e,a,i){if(t.modules[a])return a;const o=8*t.modules[i].n64;return t.modules[a]={n64:3*t.modules[i].n64},function(){const e=t.addFunction(a+"_isZero");e.addParam("x","i32"),e.setReturnType("i32");const 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n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.i32_add(n.getLocal("x"),n.i32_const(2*o)),c=n.getLocal("r"),d=n.i32_add(n.getLocal("r"),n.i32_const(o)),u=n.i32_add(n.getLocal("r"),n.i32_const(2*o));e.addCode(n.call(i+"_fromMontgomery",r,c),n.call(i+"_fromMontgomery",s,d),n.call(i+"_fromMontgomery",l,u))}(),function(){const e=t.addFunction(a+"_eq");e.addParam("x","i32"),e.addParam("y","i32"),e.setReturnType("i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.i32_add(n.getLocal("x"),n.i32_const(2*o)),c=n.getLocal("y"),d=n.i32_add(n.getLocal("y"),n.i32_const(o)),u=n.i32_add(n.getLocal("y"),n.i32_const(2*o));e.addCode(n.i32_and(n.i32_and(n.call(i+"_eq",r,c),n.call(i+"_eq",s,d)),n.call(i+"_eq",l,u)))}(),function(){const n=t.addFunction(a+"_inverse");n.addParam("x","i32"),n.addParam("r","i32");const 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e=t.addFunction(a+"_timesScalar");e.addParam("x","i32"),e.addParam("scalar","i32"),e.addParam("scalarLen","i32"),e.addParam("r","i32");const n=e.getCodeBuilder(),r=n.getLocal("x"),s=n.i32_add(n.getLocal("x"),n.i32_const(o)),l=n.i32_add(n.getLocal("x"),n.i32_const(2*o)),c=n.getLocal("r"),d=n.i32_add(n.getLocal("r"),n.i32_const(o)),u=n.i32_add(n.getLocal("r"),n.i32_const(2*o));e.addCode(n.call(i+"_timesScalar",r,n.getLocal("scalar"),n.getLocal("scalarLen"),c),n.call(i+"_timesScalar",s,n.getLocal("scalar"),n.getLocal("scalarLen"),d),n.call(i+"_timesScalar",l,n.getLocal("scalar"),n.getLocal("scalarLen"),u))}(),function(){const e=t.addFunction(a+"_isNegative");e.addParam("x","i32"),e.setReturnType("i32");const 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n=8*t.modules[e].n64;function r(){const i=t.addFunction(a);i.addParam("pBases","i32"),i.addParam("pScalars","i32"),i.addParam("scalarSize","i32"),i.addParam("n","i32"),i.addParam("pr","i32"),i.addLocal("chunkSize","i32"),i.addLocal("nChunks","i32"),i.addLocal("itScalar","i32"),i.addLocal("endScalar","i32"),i.addLocal("itBase","i32"),i.addLocal("itBit","i32"),i.addLocal("i","i32"),i.addLocal("j","i32"),i.addLocal("nTable","i32"),i.addLocal("pTable","i32"),i.addLocal("idx","i32"),i.addLocal("pIdxTable","i32");const o=i.getCodeBuilder(),r=o.i32_const(t.alloc(n)),s=t.alloc([17,17,17,17,17,17,17,17,17,17,16,16,15,14,13,13,12,11,10,9,8,7,7,6,5,4,3,2,1,1,1,1]);i.addCode(o.call(e+"_zero",o.getLocal("pr")),o.if(o.i32_eqz(o.getLocal("n")),o.ret([])),o.setLocal("chunkSize",o.i32_load8_u(o.i32_clz(o.getLocal("n")),s)),o.setLocal("nChunks",o.i32_add(o.i32_div_u(o.i32_sub(o.i32_shl(o.getLocal("scalarSize"),o.i32_const(3)),o.i32_const(1)),o.getLocal("chunkSize")),o.i32_const(1))),o.setLocal("itBit",o.i32_mul(o.i32_sub(o.getLocal("nChunks"),o.i32_const(1)),o.getLocal("chunkSize"))),o.block(o.loop(o.br_if(1,o.i32_lt_s(o.getLocal("itBit"),o.i32_const(0))),o.if(o.i32_eqz(o.call(e+"_isZero",o.getLocal("pr"))),[...o.setLocal("j",o.i32_const(0)),...o.block(o.loop(o.br_if(1,o.i32_eq(o.getLocal("j"),o.getLocal("chunkSize"))),o.call(e+"_double",o.getLocal("pr"),o.getLocal("pr")),o.setLocal("j",o.i32_add(o.getLocal("j"),o.i32_const(1))),o.br(0)))]),o.call(a+"_chunk",o.getLocal("pBases"),o.getLocal("pScalars"),o.getLocal("scalarSize"),o.getLocal("n"),o.getLocal("itBit"),o.getLocal("chunkSize"),r),o.call(e+"_add",o.getLocal("pr"),r,o.getLocal("pr")),o.setLocal("itBit",o.i32_sub(o.getLocal("itBit"),o.getLocal("chunkSize"))),o.br(0))))}!function(){const e=t.addFunction(a+"_getChunk");e.addParam("pScalar","i32"),e.addParam("scalarSize","i32"),e.addParam("startBit","i32"),e.addParam("chunkSize","i32"),e.addLocal("bitsToEnd","i32"),e.addLocal("mask","i32"),e.setReturnType("i32");const i=e.getCodeBuilder();e.addCode(i.setLocal("bitsToEnd",i.i32_sub(i.i32_mul(i.getLocal("scalarSize"),i.i32_const(8)),i.getLocal("startBit"))),i.if(i.i32_gt_s(i.getLocal("chunkSize"),i.getLocal("bitsToEnd")),i.setLocal("mask",i.i32_sub(i.i32_shl(i.i32_const(1),i.getLocal("bitsToEnd")),i.i32_const(1))),i.setLocal("mask",i.i32_sub(i.i32_shl(i.i32_const(1),i.getLocal("chunkSize")),i.i32_const(1)))),i.i32_and(i.i32_shr_u(i.i32_load(i.i32_add(i.getLocal("pScalar"),i.i32_shr_u(i.getLocal("startBit"),i.i32_const(3))),0,0),i.i32_and(i.getLocal("startBit"),i.i32_const(7))),i.getLocal("mask")))}(),function(){const i=t.addFunction(a+"_reduceTable");i.addParam("pTable","i32"),i.addParam("p","i32"),i.addLocal("half","i32"),i.addLocal("it1","i32"),i.addLocal("it2","i32"),i.addLocal("pAcc","i32");const o=i.getCodeBuilder();i.addCode(o.if(o.i32_eq(o.getLocal("p"),o.i32_const(1)),o.ret([])),o.setLocal("half",o.i32_shl(o.i32_const(1),o.i32_sub(o.getLocal("p"),o.i32_const(1)))),o.setLocal("it1",o.getLocal("pTable")),o.setLocal("it2",o.i32_add(o.getLocal("pTable"),o.i32_mul(o.getLocal("half"),o.i32_const(n)))),o.setLocal("pAcc",o.i32_sub(o.getLocal("it2"),o.i32_const(n))),o.block(o.loop(o.br_if(1,o.i32_eq(o.getLocal("it1"),o.getLocal("pAcc"))),o.call(e+"_add",o.getLocal("it1"),o.getLocal("it2"),o.getLocal("it1")),o.call(e+"_add",o.getLocal("pAcc"),o.getLocal("it2"),o.getLocal("pAcc")),o.setLocal("it1",o.i32_add(o.getLocal("it1"),o.i32_const(n))),o.setLocal("it2",o.i32_add(o.getLocal("it2"),o.i32_const(n))),o.br(0))),o.call(a+"_reduceTable",o.getLocal("pTable"),o.i32_sub(o.getLocal("p"),o.i32_const(1))),o.setLocal("p",o.i32_sub(o.getLocal("p"),o.i32_const(1))),o.block(o.loop(o.br_if(1,o.i32_eqz(o.getLocal("p"))),o.call(e+"_double",o.getLocal("pAcc"),o.getLocal("pAcc")),o.setLocal("p",o.i32_sub(o.getLocal("p"),o.i32_const(1))),o.br(0))),o.call(e+"_add",o.getLocal("pTable"),o.getLocal("pAcc"),o.getLocal("pTable")))}(),function(){const r=t.addFunction(a+"_chunk");r.addParam("pBases","i32"),r.addParam("pScalars","i32"),r.addParam("scalarSize","i32"),r.addParam("n","i32"),r.addParam("startBit","i32"),r.addParam("chunkSize","i32"),r.addParam("pr","i32"),r.addLocal("nChunks","i32"),r.addLocal("itScalar","i32"),r.addLocal("endScalar","i32"),r.addLocal("itBase","i32"),r.addLocal("i","i32"),r.addLocal("j","i32"),r.addLocal("nTable","i32"),r.addLocal("pTable","i32"),r.addLocal("idx","i32"),r.addLocal("pIdxTable","i32");const s=r.getCodeBuilder();r.addCode(s.if(s.i32_eqz(s.getLocal("n")),[...s.call(e+"_zero",s.getLocal("pr")),...s.ret([])]),s.setLocal("nTable",s.i32_shl(s.i32_const(1),s.getLocal("chunkSize"))),s.setLocal("pTable",s.i32_load(s.i32_const(0))),s.i32_store(s.i32_const(0),s.i32_add(s.getLocal("pTable"),s.i32_mul(s.getLocal("nTable"),s.i32_const(n)))),s.setLocal("j",s.i32_const(0)),s.block(s.loop(s.br_if(1,s.i32_eq(s.getLocal("j"),s.getLocal("nTable"))),s.call(e+"_zero",s.i32_add(s.getLocal("pTable"),s.i32_mul(s.getLocal("j"),s.i32_const(n)))),s.setLocal("j",s.i32_add(s.getLocal("j"),s.i32_const(1))),s.br(0))),s.setLocal("itBase",s.getLocal("pBases")),s.setLocal("itScalar",s.getLocal("pScalars")),s.setLocal("endScalar",s.i32_add(s.getLocal("pScalars"),s.i32_mul(s.getLocal("n"),s.getLocal("scalarSize")))),s.block(s.loop(s.br_if(1,s.i32_eq(s.getLocal("itScalar"),s.getLocal("endScalar"))),s.setLocal("idx",s.call(a+"_getChunk",s.getLocal("itScalar"),s.getLocal("scalarSize"),s.getLocal("startBit"),s.getLocal("chunkSize"))),s.if(s.getLocal("idx"),[...s.setLocal("pIdxTable",s.i32_add(s.getLocal("pTable"),s.i32_mul(s.i32_sub(s.getLocal("idx"),s.i32_const(1)),s.i32_const(n)))),...s.call(i,s.getLocal("pIdxTable"),s.getLocal("itBase"),s.getLocal("pIdxTable"))]),s.setLocal("itScalar",s.i32_add(s.getLocal("itScalar"),s.getLocal("scalarSize"))),s.setLocal("itBase",s.i32_add(s.getLocal("itBase"),s.i32_const(o))),s.br(0))),s.call(a+"_reduceTable",s.getLocal("pTable"),s.getLocal("chunkSize")),s.call(e+"_copy",s.getLocal("pTable"),s.getLocal("pr")),s.i32_store(s.i32_const(0),s.getLocal("pTable")))}(),r(),t.exportFunction(a),t.exportFunction(a+"_chunk")};var ne=function(t,e,a,i){const o=t.modules[a].n64,n=8*o;if(t.modules[e])return e;return t.modules[e]={n64:3*o},function(){const i=t.addFunction(e+"_isZeroAffine");i.addParam("p1","i32"),i.setReturnType("i32");const o=i.getCodeBuilder();i.addCode(o.i32_and(o.call(a+"_isZero",o.getLocal("p1")),o.call(a+"_isZero",o.i32_add(o.getLocal("p1"),o.i32_const(n)))))}(),function(){const i=t.addFunction(e+"_isZero");i.addParam("p1","i32"),i.setReturnType("i32");const o=i.getCodeBuilder();i.addCode(o.call(a+"_isZero",o.i32_add(o.getLocal("p1"),o.i32_const(2*n))))}(),function(){const i=t.addFunction(e+"_zeroAffine");i.addParam("pr","i32");const o=i.getCodeBuilder();i.addCode(o.call(a+"_zero",o.getLocal("pr"))),i.addCode(o.call(a+"_zero",o.i32_add(o.getLocal("pr"),o.i32_const(n))))}(),function(){const i=t.addFunction(e+"_zero");i.addParam("pr","i32");const o=i.getCodeBuilder();i.addCode(o.call(a+"_zero",o.getLocal("pr"))),i.addCode(o.call(a+"_one",o.i32_add(o.getLocal("pr"),o.i32_const(n)))),i.addCode(o.call(a+"_zero",o.i32_add(o.getLocal("pr"),o.i32_const(2*n))))}(),function(){const a=t.addFunction(e+"_copyAffine");a.addParam("ps","i32"),a.addParam("pd","i32");const i=a.getCodeBuilder();for(let t=0;t<2*o;t++)a.addCode(i.i64_store(i.getLocal("pd"),8*t,i.i64_load(i.getLocal("ps"),8*t)))}(),function(){const a=t.addFunction(e+"_copy");a.addParam("ps","i32"),a.addParam("pd","i32");const i=a.getCodeBuilder();for(let t=0;t<3*o;t++)a.addCode(i.i64_store(i.getLocal("pd"),8*t,i.i64_load(i.getLocal("ps"),8*t)))}(),function(){const i=t.addFunction(e+"_toJacobian");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n)),l=o.getLocal("pr"),c=o.i32_add(o.getLocal("pr"),o.i32_const(n)),d=o.i32_add(o.getLocal("pr"),o.i32_const(2*n));i.addCode(o.if(o.call(e+"_isZeroAffine",o.getLocal("p1")),o.call(e+"_zero",o.getLocal("pr")),[...o.call(a+"_one",d),...o.call(a+"_copy",s,c),...o.call(a+"_copy",r,l)]))}(),function(){const i=t.addFunction(e+"_eqAffine");i.addParam("p1","i32"),i.addParam("p2","i32"),i.setReturnType("i32"),i.addLocal("z1","i32");const o=i.getCodeBuilder();i.addCode(o.ret(o.i32_and(o.call(a+"_eq",o.getLocal("p1"),o.getLocal("p2")),o.call(a+"_eq",o.i32_add(o.getLocal("p1"),o.i32_const(n)),o.i32_add(o.getLocal("p2"),o.i32_const(n))))))}(),function(){const i=t.addFunction(e+"_eqMixed");i.addParam("p1","i32"),i.addParam("p2","i32"),i.setReturnType("i32"),i.addLocal("z1","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n));i.addCode(o.setLocal("z1",o.i32_add(o.getLocal("p1"),o.i32_const(2*n))));const l=o.getLocal("z1"),c=o.getLocal("p2"),d=o.i32_add(o.getLocal("p2"),o.i32_const(n)),u=o.i32_const(t.alloc(n)),g=o.i32_const(t.alloc(n)),f=o.i32_const(t.alloc(n)),_=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZero",o.getLocal("p1")),o.ret(o.call(e+"_isZeroAffine",o.getLocal("p2")))),o.if(o.call(e+"_isZeroAffine",o.getLocal("p2")),o.ret(o.i32_const(0))),o.if(o.call(a+"_isOne",l),o.ret(o.call(e+"_eqAffine",o.getLocal("p1"),o.getLocal("p2")))),o.call(a+"_square",l,u),o.call(a+"_mul",c,u,g),o.call(a+"_mul",l,u,f),o.call(a+"_mul",d,f,_),o.if(o.call(a+"_eq",r,g),o.if(o.call(a+"_eq",s,_),o.ret(o.i32_const(1)))),o.ret(o.i32_const(0)))}(),function(){const i=t.addFunction(e+"_eq");i.addParam("p1","i32"),i.addParam("p2","i32"),i.setReturnType("i32"),i.addLocal("z1","i32"),i.addLocal("z2","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n));i.addCode(o.setLocal("z1",o.i32_add(o.getLocal("p1"),o.i32_const(2*n))));const l=o.getLocal("z1"),c=o.getLocal("p2"),d=o.i32_add(o.getLocal("p2"),o.i32_const(n));i.addCode(o.setLocal("z2",o.i32_add(o.getLocal("p2"),o.i32_const(2*n))));const u=o.getLocal("z2"),g=o.i32_const(t.alloc(n)),f=o.i32_const(t.alloc(n)),_=o.i32_const(t.alloc(n)),p=o.i32_const(t.alloc(n)),h=o.i32_const(t.alloc(n)),m=o.i32_const(t.alloc(n)),L=o.i32_const(t.alloc(n)),w=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZero",o.getLocal("p1")),o.ret(o.call(e+"_isZero",o.getLocal("p2")))),o.if(o.call(e+"_isZero",o.getLocal("p2")),o.ret(o.i32_const(0))),o.if(o.call(a+"_isOne",l),o.ret(o.call(e+"_eqMixed",o.getLocal("p2"),o.getLocal("p1")))),o.if(o.call(a+"_isOne",u),o.ret(o.call(e+"_eqMixed",o.getLocal("p1"),o.getLocal("p2")))),o.call(a+"_square",l,g),o.call(a+"_square",u,f),o.call(a+"_mul",r,f,_),o.call(a+"_mul",c,g,p),o.call(a+"_mul",l,g,h),o.call(a+"_mul",u,f,m),o.call(a+"_mul",s,m,L),o.call(a+"_mul",d,h,w),o.if(o.call(a+"_eq",_,p),o.if(o.call(a+"_eq",L,w),o.ret(o.i32_const(1)))),o.ret(o.i32_const(0)))}(),function(){const i=t.addFunction(e+"_doubleAffine");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n)),l=o.getLocal("pr"),c=o.i32_add(o.getLocal("pr"),o.i32_const(n)),d=o.i32_add(o.getLocal("pr"),o.i32_const(2*n)),u=o.i32_const(t.alloc(n)),g=o.i32_const(t.alloc(n)),f=o.i32_const(t.alloc(n)),_=o.i32_const(t.alloc(n)),p=o.i32_const(t.alloc(n)),h=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZeroAffine",o.getLocal("p1")),[...o.call(e+"_toJacobian",o.getLocal("p1"),o.getLocal("pr")),...o.ret([])]),o.call(a+"_square",r,u),o.call(a+"_square",s,g),o.call(a+"_square",g,f),o.call(a+"_add",r,g,_),o.call(a+"_square",_,_),o.call(a+"_sub",_,u,_),o.call(a+"_sub",_,f,_),o.call(a+"_add",_,_,_),o.call(a+"_add",u,u,p),o.call(a+"_add",p,u,p),o.call(a+"_add",s,s,d),o.call(a+"_square",p,l),o.call(a+"_sub",l,_,l),o.call(a+"_sub",l,_,l),o.call(a+"_add",f,f,h),o.call(a+"_add",h,h,h),o.call(a+"_add",h,h,h),o.call(a+"_sub",_,l,c),o.call(a+"_mul",c,p,c),o.call(a+"_sub",c,h,c))}(),function(){const i=t.addFunction(e+"_double");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n)),l=o.i32_add(o.getLocal("p1"),o.i32_const(2*n)),c=o.getLocal("pr"),d=o.i32_add(o.getLocal("pr"),o.i32_const(n)),u=o.i32_add(o.getLocal("pr"),o.i32_const(2*n)),g=o.i32_const(t.alloc(n)),f=o.i32_const(t.alloc(n)),_=o.i32_const(t.alloc(n)),p=o.i32_const(t.alloc(n)),h=o.i32_const(t.alloc(n)),m=o.i32_const(t.alloc(n)),L=o.i32_const(t.alloc(n)),w=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZero",o.getLocal("p1")),[...o.call(e+"_copy",o.getLocal("p1"),o.getLocal("pr")),...o.ret([])]),o.if(o.call(a+"_isOne",l),[...o.ret(o.call(e+"_doubleAffine",o.getLocal("p1"),o.getLocal("pr"))),...o.ret([])]),o.call(a+"_square",r,g),o.call(a+"_square",s,f),o.call(a+"_square",f,_),o.call(a+"_add",r,f,p),o.call(a+"_square",p,p),o.call(a+"_sub",p,g,p),o.call(a+"_sub",p,_,p),o.call(a+"_add",p,p,p),o.call(a+"_add",g,g,h),o.call(a+"_add",h,g,h),o.call(a+"_square",h,m),o.call(a+"_mul",s,l,L),o.call(a+"_add",p,p,c),o.call(a+"_sub",m,c,c),o.call(a+"_add",_,_,w),o.call(a+"_add",w,w,w),o.call(a+"_add",w,w,w),o.call(a+"_sub",p,c,d),o.call(a+"_mul",d,h,d),o.call(a+"_sub",d,w,d),o.call(a+"_add",L,L,u))}(),function(){const i=t.addFunction(e+"_addAffine");i.addParam("p1","i32"),i.addParam("p2","i32"),i.addParam("pr","i32"),i.addLocal("z1","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n));i.addCode(o.setLocal("z1",o.i32_add(o.getLocal("p1"),o.i32_const(2*n))));const l=o.getLocal("p2"),c=o.i32_add(o.getLocal("p2"),o.i32_const(n)),d=o.getLocal("pr"),u=o.i32_add(o.getLocal("pr"),o.i32_const(n)),g=o.i32_add(o.getLocal("pr"),o.i32_const(2*n)),f=o.i32_const(t.alloc(n)),_=o.i32_const(t.alloc(n)),p=o.i32_const(t.alloc(n)),h=o.i32_const(t.alloc(n)),m=o.i32_const(t.alloc(n)),L=o.i32_const(t.alloc(n)),w=o.i32_const(t.alloc(n)),b=o.i32_const(t.alloc(n)),y=o.i32_const(t.alloc(n)),A=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZeroAffine",o.getLocal("p1")),[...o.call(e+"_copyAffine",o.getLocal("p2"),o.getLocal("pr")),...o.call(a+"_one",o.i32_add(o.getLocal("pr"),o.i32_const(2*n))),...o.ret([])]),o.if(o.call(e+"_isZeroAffine",o.getLocal("p2")),[...o.call(e+"_copyAffine",o.getLocal("p1"),o.getLocal("pr")),...o.call(a+"_one",o.i32_add(o.getLocal("pr"),o.i32_const(2*n))),...o.ret([])]),o.if(o.call(a+"_eq",r,l),o.if(o.call(a+"_eq",s,c),[...o.call(e+"_doubleAffine",o.getLocal("p2"),o.getLocal("pr")),...o.ret([])])),o.call(a+"_sub",l,r,f),o.call(a+"_sub",c,s,p),o.call(a+"_square",f,_),o.call(a+"_add",_,_,h),o.call(a+"_add",h,h,h),o.call(a+"_mul",f,h,m),o.call(a+"_add",p,p,L),o.call(a+"_mul",r,h,b),o.call(a+"_square",L,w),o.call(a+"_add",b,b,y),o.call(a+"_sub",w,m,d),o.call(a+"_sub",d,y,d),o.call(a+"_mul",s,m,A),o.call(a+"_add",A,A,A),o.call(a+"_sub",b,d,u),o.call(a+"_mul",u,L,u),o.call(a+"_sub",u,A,u),o.call(a+"_add",f,f,g))}(),function(){const i=t.addFunction(e+"_addMixed");i.addParam("p1","i32"),i.addParam("p2","i32"),i.addParam("pr","i32"),i.addLocal("z1","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n));i.addCode(o.setLocal("z1",o.i32_add(o.getLocal("p1"),o.i32_const(2*n))));const l=o.getLocal("z1"),c=o.getLocal("p2"),d=o.i32_add(o.getLocal("p2"),o.i32_const(n)),u=o.getLocal("pr"),g=o.i32_add(o.getLocal("pr"),o.i32_const(n)),f=o.i32_add(o.getLocal("pr"),o.i32_const(2*n)),_=o.i32_const(t.alloc(n)),p=o.i32_const(t.alloc(n)),h=o.i32_const(t.alloc(n)),m=o.i32_const(t.alloc(n)),L=o.i32_const(t.alloc(n)),w=o.i32_const(t.alloc(n)),b=o.i32_const(t.alloc(n)),y=o.i32_const(t.alloc(n)),A=o.i32_const(t.alloc(n)),I=o.i32_const(t.alloc(n)),C=o.i32_const(t.alloc(n)),x=o.i32_const(t.alloc(n)),F=o.i32_const(t.alloc(n)),v=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZero",o.getLocal("p1")),[...o.call(e+"_copyAffine",o.getLocal("p2"),o.getLocal("pr")),...o.call(a+"_one",o.i32_add(o.getLocal("pr"),o.i32_const(2*n))),...o.ret([])]),o.if(o.call(e+"_isZeroAffine",o.getLocal("p2")),[...o.call(e+"_copy",o.getLocal("p1"),o.getLocal("pr")),...o.ret([])]),o.if(o.call(a+"_isOne",l),[...o.call(e+"_addAffine",r,c,u),...o.ret([])]),o.call(a+"_square",l,_),o.call(a+"_mul",c,_,p),o.call(a+"_mul",l,_,h),o.call(a+"_mul",d,h,m),o.if(o.call(a+"_eq",r,p),o.if(o.call(a+"_eq",s,m),[...o.call(e+"_doubleAffine",o.getLocal("p2"),o.getLocal("pr")),...o.ret([])])),o.call(a+"_sub",p,r,L),o.call(a+"_sub",m,s,b),o.call(a+"_square",L,w),o.call(a+"_add",w,w,y),o.call(a+"_add",y,y,y),o.call(a+"_mul",L,y,A),o.call(a+"_add",b,b,I),o.call(a+"_mul",r,y,x),o.call(a+"_square",I,C),o.call(a+"_add",x,x,F),o.call(a+"_sub",C,A,u),o.call(a+"_sub",u,F,u),o.call(a+"_mul",s,A,v),o.call(a+"_add",v,v,v),o.call(a+"_sub",x,u,g),o.call(a+"_mul",g,I,g),o.call(a+"_sub",g,v,g),o.call(a+"_add",l,L,f),o.call(a+"_square",f,f),o.call(a+"_sub",f,_,f),o.call(a+"_sub",f,w,f))}(),function(){const i=t.addFunction(e+"_add");i.addParam("p1","i32"),i.addParam("p2","i32"),i.addParam("pr","i32"),i.addLocal("z1","i32"),i.addLocal("z2","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n));i.addCode(o.setLocal("z1",o.i32_add(o.getLocal("p1"),o.i32_const(2*n))));const l=o.getLocal("z1"),c=o.getLocal("p2"),d=o.i32_add(o.getLocal("p2"),o.i32_const(n));i.addCode(o.setLocal("z2",o.i32_add(o.getLocal("p2"),o.i32_const(2*n))));const u=o.getLocal("z2"),g=o.getLocal("pr"),f=o.i32_add(o.getLocal("pr"),o.i32_const(n)),_=o.i32_add(o.getLocal("pr"),o.i32_const(2*n)),p=o.i32_const(t.alloc(n)),h=o.i32_const(t.alloc(n)),m=o.i32_const(t.alloc(n)),L=o.i32_const(t.alloc(n)),w=o.i32_const(t.alloc(n)),b=o.i32_const(t.alloc(n)),y=o.i32_const(t.alloc(n)),A=o.i32_const(t.alloc(n)),I=o.i32_const(t.alloc(n)),C=o.i32_const(t.alloc(n)),x=o.i32_const(t.alloc(n)),F=o.i32_const(t.alloc(n)),v=o.i32_const(t.alloc(n)),E=o.i32_const(t.alloc(n)),B=o.i32_const(t.alloc(n)),S=o.i32_const(t.alloc(n)),G=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZero",o.getLocal("p1")),[...o.call(e+"_copy",o.getLocal("p2"),o.getLocal("pr")),...o.ret([])]),o.if(o.call(e+"_isZero",o.getLocal("p2")),[...o.call(e+"_copy",o.getLocal("p1"),o.getLocal("pr")),...o.ret([])]),o.if(o.call(a+"_isOne",l),[...o.call(e+"_addMixed",c,r,g),...o.ret([])]),o.if(o.call(a+"_isOne",u),[...o.call(e+"_addMixed",r,c,g),...o.ret([])]),o.call(a+"_square",l,p),o.call(a+"_square",u,h),o.call(a+"_mul",r,h,m),o.call(a+"_mul",c,p,L),o.call(a+"_mul",l,p,w),o.call(a+"_mul",u,h,b),o.call(a+"_mul",s,b,y),o.call(a+"_mul",d,w,A),o.if(o.call(a+"_eq",m,L),o.if(o.call(a+"_eq",y,A),[...o.call(e+"_double",o.getLocal("p1"),o.getLocal("pr")),...o.ret([])])),o.call(a+"_sub",L,m,I),o.call(a+"_sub",A,y,C),o.call(a+"_add",I,I,x),o.call(a+"_square",x,x),o.call(a+"_mul",I,x,F),o.call(a+"_add",C,C,v),o.call(a+"_mul",m,x,B),o.call(a+"_square",v,E),o.call(a+"_add",B,B,S),o.call(a+"_sub",E,F,g),o.call(a+"_sub",g,S,g),o.call(a+"_mul",y,F,G),o.call(a+"_add",G,G,G),o.call(a+"_sub",B,g,f),o.call(a+"_mul",f,v,f),o.call(a+"_sub",f,G,f),o.call(a+"_add",l,u,_),o.call(a+"_square",_,_),o.call(a+"_sub",_,p,_),o.call(a+"_sub",_,h,_),o.call(a+"_mul",_,I,_))}(),function(){const i=t.addFunction(e+"_negAffine");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n)),l=o.getLocal("pr"),c=o.i32_add(o.getLocal("pr"),o.i32_const(n));i.addCode(o.call(a+"_copy",r,l),o.call(a+"_neg",s,c))}(),function(){const i=t.addFunction(e+"_neg");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n)),l=o.i32_add(o.getLocal("p1"),o.i32_const(2*n)),c=o.getLocal("pr"),d=o.i32_add(o.getLocal("pr"),o.i32_const(n)),u=o.i32_add(o.getLocal("pr"),o.i32_const(2*n));i.addCode(o.call(a+"_copy",r,c),o.call(a+"_neg",s,d),o.call(a+"_copy",l,u))}(),function(){const a=t.addFunction(e+"_subAffine");a.addParam("p1","i32"),a.addParam("p2","i32"),a.addParam("pr","i32");const i=a.getCodeBuilder(),o=i.i32_const(t.alloc(3*n));a.addCode(i.call(e+"_negAffine",i.getLocal("p2"),o),i.call(e+"_addAffine",i.getLocal("p1"),o,i.getLocal("pr")))}(),function(){const a=t.addFunction(e+"_subMixed");a.addParam("p1","i32"),a.addParam("p2","i32"),a.addParam("pr","i32");const i=a.getCodeBuilder(),o=i.i32_const(t.alloc(3*n));a.addCode(i.call(e+"_negAffine",i.getLocal("p2"),o),i.call(e+"_addMixed",i.getLocal("p1"),o,i.getLocal("pr")))}(),function(){const a=t.addFunction(e+"_sub");a.addParam("p1","i32"),a.addParam("p2","i32"),a.addParam("pr","i32");const i=a.getCodeBuilder(),o=i.i32_const(t.alloc(3*n));a.addCode(i.call(e+"_neg",i.getLocal("p2"),o),i.call(e+"_add",i.getLocal("p1"),o,i.getLocal("pr")))}(),function(){const i=t.addFunction(e+"_fromMontgomeryAffine");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder();i.addCode(o.call(a+"_fromMontgomery",o.getLocal("p1"),o.getLocal("pr")));for(let t=1;t<2;t++)i.addCode(o.call(a+"_fromMontgomery",o.i32_add(o.getLocal("p1"),o.i32_const(t*n)),o.i32_add(o.getLocal("pr"),o.i32_const(t*n))))}(),function(){const i=t.addFunction(e+"_fromMontgomery");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder();i.addCode(o.call(a+"_fromMontgomery",o.getLocal("p1"),o.getLocal("pr")));for(let t=1;t<3;t++)i.addCode(o.call(a+"_fromMontgomery",o.i32_add(o.getLocal("p1"),o.i32_const(t*n)),o.i32_add(o.getLocal("pr"),o.i32_const(t*n))))}(),function(){const i=t.addFunction(e+"_toMontgomeryAffine");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder();i.addCode(o.call(a+"_toMontgomery",o.getLocal("p1"),o.getLocal("pr")));for(let t=1;t<2;t++)i.addCode(o.call(a+"_toMontgomery",o.i32_add(o.getLocal("p1"),o.i32_const(t*n)),o.i32_add(o.getLocal("pr"),o.i32_const(t*n))))}(),function(){const i=t.addFunction(e+"_toMontgomery");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder();i.addCode(o.call(a+"_toMontgomery",o.getLocal("p1"),o.getLocal("pr")));for(let t=1;t<3;t++)i.addCode(o.call(a+"_toMontgomery",o.i32_add(o.getLocal("p1"),o.i32_const(t*n)),o.i32_add(o.getLocal("pr"),o.i32_const(t*n))))}(),function(){const i=t.addFunction(e+"_toAffine");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n)),l=o.i32_add(o.getLocal("p1"),o.i32_const(2*n)),c=o.getLocal("pr"),d=o.i32_add(o.getLocal("pr"),o.i32_const(n)),u=o.i32_const(t.alloc(n)),g=o.i32_const(t.alloc(n)),f=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZero",o.getLocal("p1")),[...o.call(a+"_zero",c),...o.call(a+"_zero",d)],[...o.call(a+"_inverse",l,u),...o.call(a+"_square",u,g),...o.call(a+"_mul",u,g,f),...o.call(a+"_mul",r,g,c),...o.call(a+"_mul",s,f,d)]))}(),function(){const o=t.addFunction(e+"_inCurveAffine");o.addParam("pIn","i32"),o.setReturnType("i32");const r=o.getCodeBuilder(),s=r.getLocal("pIn"),l=r.i32_add(r.getLocal("pIn"),r.i32_const(n)),c=r.i32_const(t.alloc(n)),d=r.i32_const(t.alloc(n));o.addCode(r.call(a+"_square",l,c),r.call(a+"_square",s,d),r.call(a+"_mul",s,d,d),r.call(a+"_add",d,r.i32_const(i),d),r.ret(r.call(a+"_eq",c,d)))}(),function(){const a=t.addFunction(e+"_inCurve");a.addParam("pIn","i32"),a.setReturnType("i32");const i=a.getCodeBuilder(),o=i.i32_const(t.alloc(2*n));a.addCode(i.call(e+"_toAffine",i.getLocal("pIn"),o),i.ret(i.call(e+"_inCurveAffine",o)))}(),function(){const i=t.addFunction(e+"_batchToAffine");i.addParam("pIn","i32"),i.addParam("n","i32"),i.addParam("pOut","i32"),i.addLocal("pAux","i32"),i.addLocal("itIn","i32"),i.addLocal("itAux","i32"),i.addLocal("itOut","i32"),i.addLocal("i","i32");const o=i.getCodeBuilder(),r=o.i32_const(t.alloc(n));i.addCode(o.setLocal("pAux",o.i32_load(o.i32_const(0))),o.i32_store(o.i32_const(0),o.i32_add(o.getLocal("pAux"),o.i32_mul(o.getLocal("n"),o.i32_const(n)))),o.call(a+"_batchInverse",o.i32_add(o.getLocal("pIn"),o.i32_const(2*n)),o.i32_const(3*n),o.getLocal("n"),o.getLocal("pAux"),o.i32_const(n)),o.setLocal("itIn",o.getLocal("pIn")),o.setLocal("itAux",o.getLocal("pAux")),o.setLocal("itOut",o.getLocal("pOut")),o.setLocal("i",o.i32_const(0)),o.block(o.loop(o.br_if(1,o.i32_eq(o.getLocal("i"),o.getLocal("n"))),o.if(o.call(a+"_isZero",o.getLocal("itAux")),[...o.call(a+"_zero",o.getLocal("itOut")),...o.call(a+"_zero",o.i32_add(o.getLocal("itOut"),o.i32_const(n)))],[...o.call(a+"_mul",o.getLocal("itAux"),o.i32_add(o.getLocal("itIn"),o.i32_const(n)),r),...o.call(a+"_square",o.getLocal("itAux"),o.getLocal("itAux")),...o.call(a+"_mul",o.getLocal("itAux"),o.getLocal("itIn"),o.getLocal("itOut")),...o.call(a+"_mul",o.getLocal("itAux"),r,o.i32_add(o.getLocal("itOut"),o.i32_const(n)))]),o.setLocal("itIn",o.i32_add(o.getLocal("itIn"),o.i32_const(3*n))),o.setLocal("itOut",o.i32_add(o.getLocal("itOut"),o.i32_const(2*n))),o.setLocal("itAux",o.i32_add(o.getLocal("itAux"),o.i32_const(n))),o.setLocal("i",o.i32_add(o.getLocal("i"),o.i32_const(1))),o.br(0))),o.i32_store(o.i32_const(0),o.getLocal("pAux")))}(),function(){const i=t.addFunction(e+"_normalize");i.addParam("p1","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder(),r=o.getLocal("p1"),s=o.i32_add(o.getLocal("p1"),o.i32_const(n)),l=o.i32_add(o.getLocal("p1"),o.i32_const(2*n)),c=o.getLocal("pr"),d=o.i32_add(o.getLocal("pr"),o.i32_const(n)),u=o.i32_add(o.getLocal("pr"),o.i32_const(2*n)),g=o.i32_const(t.alloc(n)),f=o.i32_const(t.alloc(n)),_=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZero",o.getLocal("p1")),o.call(e+"_zero",o.getLocal("pr")),[...o.call(a+"_inverse",l,g),...o.call(a+"_square",g,f),...o.call(a+"_mul",g,f,_),...o.call(a+"_mul",r,f,c),...o.call(a+"_mul",s,_,d),...o.call(a+"_one",u)]))}(),function(){const a=t.addFunction(e+"__reverseBytes");a.addParam("pIn","i32"),a.addParam("n","i32"),a.addParam("pOut","i32"),a.addLocal("itOut","i32"),a.addLocal("itIn","i32");const i=a.getCodeBuilder();a.addCode(i.setLocal("itOut",i.i32_sub(i.i32_add(i.getLocal("pOut"),i.getLocal("n")),i.i32_const(1))),i.setLocal("itIn",i.getLocal("pIn")),i.block(i.loop(i.br_if(1,i.i32_lt_s(i.getLocal("itOut"),i.getLocal("pOut"))),i.i32_store8(i.getLocal("itOut"),i.i32_load8_u(i.getLocal("itIn"))),i.setLocal("itOut",i.i32_sub(i.getLocal("itOut"),i.i32_const(1))),i.setLocal("itIn",i.i32_add(i.getLocal("itIn"),i.i32_const(1))),i.br(0))))}(),function(){const a=t.addFunction(e+"_LEMtoU");a.addParam("pIn","i32"),a.addParam("pOut","i32");const i=a.getCodeBuilder(),o=t.alloc(2*n),r=i.i32_const(o),s=i.i32_const(o),l=i.i32_const(o+n);a.addCode(i.if(i.call(e+"_isZeroAffine",i.getLocal("pIn")),[...i.call(e+"_zeroAffine",i.getLocal("pOut")),...i.i32_store8(i.getLocal("pOut"),i.i32_const(64)),...i.ret([])]),i.call(e+"_fromMontgomeryAffine",i.getLocal("pIn"),r),i.call(e+"__reverseBytes",s,i.i32_const(n),i.getLocal("pOut")),i.call(e+"__reverseBytes",l,i.i32_const(n),i.i32_add(i.getLocal("pOut"),i.i32_const(n))))}(),function(){const i=t.addFunction(e+"_LEMtoC");i.addParam("pIn","i32"),i.addParam("pOut","i32");const o=i.getCodeBuilder(),r=o.i32_const(t.alloc(n));i.addCode(o.if(o.call(e+"_isZero",o.getLocal("pIn")),[...o.call(a+"_zero",o.getLocal("pOut")),...o.i32_store8(o.getLocal("pOut"),o.i32_const(64)),...o.ret([])]),o.call(a+"_fromMontgomery",o.getLocal("pIn"),r),o.call(e+"__reverseBytes",r,o.i32_const(n),o.getLocal("pOut")),o.if(o.i32_eq(o.call(a+"_sign",o.i32_add(o.getLocal("pIn"),o.i32_const(n))),o.i32_const(-1)),o.i32_store8(o.getLocal("pOut"),o.i32_or(o.i32_load8_u(o.getLocal("pOut")),o.i32_const(128)))))}(),function(){const a=t.addFunction(e+"_UtoLEM");a.addParam("pIn","i32"),a.addParam("pOut","i32");const i=a.getCodeBuilder(),o=t.alloc(2*n),r=i.i32_const(o),s=i.i32_const(o),l=i.i32_const(o+n);a.addCode(i.if(i.i32_and(i.i32_load8_u(i.getLocal("pIn")),i.i32_const(64)),[...i.call(e+"_zeroAffine",i.getLocal("pOut")),...i.ret([])]),i.call(e+"__reverseBytes",i.getLocal("pIn"),i.i32_const(n),s),i.call(e+"__reverseBytes",i.i32_add(i.getLocal("pIn"),i.i32_const(n)),i.i32_const(n),l),i.call(e+"_toMontgomeryAffine",r,i.getLocal("pOut")))}(),function(){const o=t.addFunction(e+"_CtoLEM");o.addParam("pIn","i32"),o.addParam("pOut","i32"),o.addLocal("firstByte","i32"),o.addLocal("greatest","i32");const r=o.getCodeBuilder(),s=t.alloc(2*n),l=r.i32_const(s),c=r.i32_const(s+n);o.addCode(r.setLocal("firstByte",r.i32_load8_u(r.getLocal("pIn"))),r.if(r.i32_and(r.getLocal("firstByte"),r.i32_const(64)),[...r.call(e+"_zeroAffine",r.getLocal("pOut")),...r.ret([])]),r.setLocal("greatest",r.i32_and(r.getLocal("firstByte"),r.i32_const(128))),r.call(a+"_copy",r.getLocal("pIn"),c),r.i32_store8(c,r.i32_and(r.getLocal("firstByte"),r.i32_const(63))),r.call(e+"__reverseBytes",c,r.i32_const(n),l),r.call(a+"_toMontgomery",l,r.getLocal("pOut")),r.call(a+"_square",r.getLocal("pOut"),c),r.call(a+"_mul",r.getLocal("pOut"),c,c),r.call(a+"_add",c,r.i32_const(i),c),r.call(a+"_sqrt",c,c),r.call(a+"_neg",c,l),r.if(r.i32_eq(r.call(a+"_sign",c),r.i32_const(-1)),r.if(r.getLocal("greatest"),r.call(a+"_copy",c,r.i32_add(r.getLocal("pOut"),r.i32_const(n))),r.call(a+"_neg",c,r.i32_add(r.getLocal("pOut"),r.i32_const(n)))),r.if(r.getLocal("greatest"),r.call(a+"_neg",c,r.i32_add(r.getLocal("pOut"),r.i32_const(n))),r.call(a+"_copy",c,r.i32_add(r.getLocal("pOut"),r.i32_const(n))))))}(),ie(t,e+"_batchLEMtoU",e+"_LEMtoU",2*n,2*n),ie(t,e+"_batchLEMtoC",e+"_LEMtoC",2*n,n),ie(t,e+"_batchUtoLEM",e+"_UtoLEM",2*n,2*n),ie(t,e+"_batchCtoLEM",e+"_CtoLEM",n,2*n,!0),ie(t,e+"_batchToJacobian",e+"_toJacobian",2*n,3*n,!0),oe(t,e,e+"_multiexp",e+"_add",3*n),oe(t,e,e+"_multiexpAffine",e+"_addMixed",2*n),ae(t,e+"_timesScalar",3*n,e+"_add",e+"_double",e+"_sub",e+"_copy",e+"_zero"),ae(t,e+"_timesScalarAffine",2*n,e+"_addMixed",e+"_double",e+"_subMixed",e+"_copyAffine",e+"_zero"),t.exportFunction(e+"_isZero"),t.exportFunction(e+"_isZeroAffine"),t.exportFunction(e+"_eq"),t.exportFunction(e+"_eqMixed"),t.exportFunction(e+"_eqAffine"),t.exportFunction(e+"_copy"),t.exportFunction(e+"_copyAffine"),t.exportFunction(e+"_zero"),t.exportFunction(e+"_zeroAffine"),t.exportFunction(e+"_double"),t.exportFunction(e+"_doubleAffine"),t.exportFunction(e+"_add"),t.exportFunction(e+"_addMixed"),t.exportFunction(e+"_addAffine"),t.exportFunction(e+"_neg"),t.exportFunction(e+"_negAffine"),t.exportFunction(e+"_sub"),t.exportFunction(e+"_subMixed"),t.exportFunction(e+"_subAffine"),t.exportFunction(e+"_fromMontgomery"),t.exportFunction(e+"_fromMontgomeryAffine"),t.exportFunction(e+"_toMontgomery"),t.exportFunction(e+"_toMontgomeryAffine"),t.exportFunction(e+"_timesScalar"),t.exportFunction(e+"_timesScalarAffine"),t.exportFunction(e+"_normalize"),t.exportFunction(e+"_LEMtoU"),t.exportFunction(e+"_LEMtoC"),t.exportFunction(e+"_UtoLEM"),t.exportFunction(e+"_CtoLEM"),t.exportFunction(e+"_batchLEMtoU"),t.exportFunction(e+"_batchLEMtoC"),t.exportFunction(e+"_batchUtoLEM"),t.exportFunction(e+"_batchCtoLEM"),t.exportFunction(e+"_toAffine"),t.exportFunction(e+"_toJacobian"),t.exportFunction(e+"_batchToAffine"),t.exportFunction(e+"_batchToJacobian"),t.exportFunction(e+"_inCurve"),t.exportFunction(e+"_inCurveAffine"),e};const re=d.exports,se=St;var le=function(t,e,a,i,o){const n=8*t.modules[i].n64,r=8*t.modules[a].n64,s=t.modules[i].q;let l=s.minus(re(1)),c=0;for(;!l.isOdd();)c++,l=l.shiftRight(1);let d=re(2);for(;d.modPow(s.shiftRight(1),s).equals(1);)d=d.add(1);const u=new Array(c+1);u[c]=d.modPow(l,s);let g=c-1;for(;g>=0;)u[g]=u[g+1].modPow(2,s),g--;const f=[],_=re(1).shiftLeft(8*n).mod(s);for(let t=0;t>a);return e}const x=Array(256);for(let t=0;t<256;t++)x[t]=C(t);const F=t.alloc(x);function v(){const a=t.addFunction(e+"_fft");a.addParam("px","i32"),a.addParam("n","i32"),a.addLocal("bits","i32");const o=a.getCodeBuilder(),r=o.i32_const(t.alloc(n));a.addCode(o.setLocal("bits",o.call(e+"__log2",o.getLocal("n"))),o.call(i+"_one",r),o.call(e+"_rawfft",o.getLocal("px"),o.getLocal("bits"),o.i32_const(0),r))}!function(){const a=t.addFunction(e+"__rev");a.addParam("x","i32"),a.addParam("bits","i32"),a.setReturnType("i32");const i=a.getCodeBuilder();a.addCode(i.i32_rotl(i.i32_add(i.i32_add(i.i32_shl(i.i32_load8_u(i.i32_and(i.getLocal("x"),i.i32_const(255)),F,0),i.i32_const(24)),i.i32_shl(i.i32_load8_u(i.i32_and(i.i32_shr_u(i.getLocal("x"),i.i32_const(8)),i.i32_const(255)),F,0),i.i32_const(16))),i.i32_add(i.i32_shl(i.i32_load8_u(i.i32_and(i.i32_shr_u(i.getLocal("x"),i.i32_const(16)),i.i32_const(255)),F,0),i.i32_const(8)),i.i32_load8_u(i.i32_and(i.i32_shr_u(i.getLocal("x"),i.i32_const(24)),i.i32_const(255)),F,0))),i.getLocal("bits")))}(),function(){const i=t.addFunction(e+"__reversePermutation");i.addParam("px","i32"),i.addParam("bits","i32"),i.addLocal("n","i32"),i.addLocal("i","i32"),i.addLocal("ri","i32"),i.addLocal("idx1","i32"),i.addLocal("idx2","i32");const o=i.getCodeBuilder(),n=o.i32_const(t.alloc(r));i.addCode(o.setLocal("n",o.i32_shl(o.i32_const(1),o.getLocal("bits"))),o.setLocal("i",o.i32_const(0)),o.block(o.loop(o.br_if(1,o.i32_eq(o.getLocal("i"),o.getLocal("n"))),o.setLocal("idx1",o.i32_add(o.getLocal("px"),o.i32_mul(o.getLocal("i"),o.i32_const(r)))),o.setLocal("ri",o.call(e+"__rev",o.getLocal("i"),o.getLocal("bits"))),o.setLocal("idx2",o.i32_add(o.getLocal("px"),o.i32_mul(o.getLocal("ri"),o.i32_const(r)))),o.if(o.i32_lt_u(o.getLocal("i"),o.getLocal("ri")),[...o.call(a+"_copy",o.getLocal("idx1"),n),...o.call(a+"_copy",o.getLocal("idx2"),o.getLocal("idx1")),...o.call(a+"_copy",n,o.getLocal("idx2"))]),o.setLocal("i",o.i32_add(o.getLocal("i"),o.i32_const(1))),o.br(0))))}(),function(){const n=t.addFunction(e+"__fftFinal");n.addParam("px","i32"),n.addParam("bits","i32"),n.addParam("reverse","i32"),n.addParam("mulFactor","i32"),n.addLocal("n","i32"),n.addLocal("ndiv2","i32"),n.addLocal("pInv2","i32"),n.addLocal("i","i32"),n.addLocal("mask","i32"),n.addLocal("idx1","i32"),n.addLocal("idx2","i32");const s=n.getCodeBuilder(),l=s.i32_const(t.alloc(r));n.addCode(s.if(s.i32_and(s.i32_eqz(s.getLocal("reverse")),s.call(i+"_isOne",s.getLocal("mulFactor"))),s.ret([])),s.setLocal("n",s.i32_shl(s.i32_const(1),s.getLocal("bits"))),s.setLocal("mask",s.i32_sub(s.getLocal("n"),s.i32_const(1))),s.setLocal("i",s.i32_const(1)),s.setLocal("ndiv2",s.i32_shr_u(s.getLocal("n"),s.i32_const(1))),s.block(s.loop(s.br_if(1,s.i32_ge_u(s.getLocal("i"),s.getLocal("ndiv2"))),s.setLocal("idx1",s.i32_add(s.getLocal("px"),s.i32_mul(s.getLocal("i"),s.i32_const(r)))),s.setLocal("idx2",s.i32_add(s.getLocal("px"),s.i32_mul(s.i32_sub(s.getLocal("n"),s.getLocal("i")),s.i32_const(r)))),s.if(s.getLocal("reverse"),s.if(s.call(i+"_isOne",s.getLocal("mulFactor")),[...s.call(a+"_copy",s.getLocal("idx1"),l),...s.call(a+"_copy",s.getLocal("idx2"),s.getLocal("idx1")),...s.call(a+"_copy",l,s.getLocal("idx2"))],[...s.call(a+"_copy",s.getLocal("idx1"),l),...s.call(o,s.getLocal("idx2"),s.getLocal("mulFactor"),s.getLocal("idx1")),...s.call(o,l,s.getLocal("mulFactor"),s.getLocal("idx2"))]),s.if(s.call(i+"_isOne",s.getLocal("mulFactor")),[],[...s.call(o,s.getLocal("idx1"),s.getLocal("mulFactor"),s.getLocal("idx1")),...s.call(o,s.getLocal("idx2"),s.getLocal("mulFactor"),s.getLocal("idx2"))])),s.setLocal("i",s.i32_add(s.getLocal("i"),s.i32_const(1))),s.br(0))),s.if(s.call(i+"_isOne",s.getLocal("mulFactor")),[],[...s.call(o,s.getLocal("px"),s.getLocal("mulFactor"),s.getLocal("px")),...s.setLocal("idx2",s.i32_add(s.getLocal("px"),s.i32_mul(s.getLocal("ndiv2"),s.i32_const(r)))),...s.call(o,s.getLocal("idx2"),s.getLocal("mulFactor"),s.getLocal("idx2"))]))}(),function(){const s=t.addFunction(e+"_rawfft");s.addParam("px","i32"),s.addParam("bits","i32"),s.addParam("reverse","i32"),s.addParam("mulFactor","i32"),s.addLocal("s","i32"),s.addLocal("k","i32"),s.addLocal("j","i32"),s.addLocal("m","i32"),s.addLocal("mdiv2","i32"),s.addLocal("n","i32"),s.addLocal("pwm","i32"),s.addLocal("idx1","i32"),s.addLocal("idx2","i32");const l=s.getCodeBuilder(),c=l.i32_const(t.alloc(n)),d=l.i32_const(t.alloc(r)),u=l.i32_const(t.alloc(r));s.addCode(l.call(e+"__reversePermutation",l.getLocal("px"),l.getLocal("bits")),l.setLocal("n",l.i32_shl(l.i32_const(1),l.getLocal("bits"))),l.setLocal("s",l.i32_const(1)),l.block(l.loop(l.br_if(1,l.i32_gt_u(l.getLocal("s"),l.getLocal("bits"))),l.setLocal("m",l.i32_shl(l.i32_const(1),l.getLocal("s"))),l.setLocal("pwm",l.i32_add(l.i32_const(p),l.i32_mul(l.getLocal("s"),l.i32_const(n)))),l.setLocal("k",l.i32_const(0)),l.block(l.loop(l.br_if(1,l.i32_ge_u(l.getLocal("k"),l.getLocal("n"))),l.call(i+"_one",c),l.setLocal("mdiv2",l.i32_shr_u(l.getLocal("m"),l.i32_const(1))),l.setLocal("j",l.i32_const(0)),l.block(l.loop(l.br_if(1,l.i32_ge_u(l.getLocal("j"),l.getLocal("mdiv2"))),l.setLocal("idx1",l.i32_add(l.getLocal("px"),l.i32_mul(l.i32_add(l.getLocal("k"),l.getLocal("j")),l.i32_const(r)))),l.setLocal("idx2",l.i32_add(l.getLocal("idx1"),l.i32_mul(l.getLocal("mdiv2"),l.i32_const(r)))),l.call(o,l.getLocal("idx2"),c,d),l.call(a+"_copy",l.getLocal("idx1"),u),l.call(a+"_add",u,d,l.getLocal("idx1")),l.call(a+"_sub",u,d,l.getLocal("idx2")),l.call(i+"_mul",c,l.getLocal("pwm"),c),l.setLocal("j",l.i32_add(l.getLocal("j"),l.i32_const(1))),l.br(0))),l.setLocal("k",l.i32_add(l.getLocal("k"),l.getLocal("m"))),l.br(0))),l.setLocal("s",l.i32_add(l.getLocal("s"),l.i32_const(1))),l.br(0))),l.call(e+"__fftFinal",l.getLocal("px"),l.getLocal("bits"),l.getLocal("reverse"),l.getLocal("mulFactor")))}(),function(){const a=t.addFunction(e+"__log2");a.addParam("n","i32"),a.setReturnType("i32"),a.addLocal("bits","i32"),a.addLocal("aux","i32");const i=a.getCodeBuilder();a.addCode(i.setLocal("aux",i.i32_shr_u(i.getLocal("n"),i.i32_const(1)))),a.addCode(i.setLocal("bits",i.i32_const(0))),a.addCode(i.block(i.loop(i.br_if(1,i.i32_eqz(i.getLocal("aux"))),i.setLocal("aux",i.i32_shr_u(i.getLocal("aux"),i.i32_const(1))),i.setLocal("bits",i.i32_add(i.getLocal("bits"),i.i32_const(1))),i.br(0)))),a.addCode(i.if(i.i32_ne(i.getLocal("n"),i.i32_shl(i.i32_const(1),i.getLocal("bits"))),i.unreachable())),a.addCode(i.if(i.i32_gt_u(i.getLocal("bits"),i.i32_const(c)),i.unreachable())),a.addCode(i.getLocal("bits"))}(),v(),function(){const a=t.addFunction(e+"_ifft");a.addParam("px","i32"),a.addParam("n","i32"),a.addLocal("bits","i32"),a.addLocal("pInv2","i32");const i=a.getCodeBuilder();a.addCode(i.setLocal("bits",i.call(e+"__log2",i.getLocal("n"))),i.setLocal("pInv2",i.i32_add(i.i32_const(L),i.i32_mul(i.getLocal("bits"),i.i32_const(n)))),i.call(e+"_rawfft",i.getLocal("px"),i.getLocal("bits"),i.i32_const(1),i.getLocal("pInv2")))}(),function(){const s=t.addFunction(e+"_fftJoin");s.addParam("pBuff1","i32"),s.addParam("pBuff2","i32"),s.addParam("n","i32"),s.addParam("first","i32"),s.addParam("inc","i32"),s.addLocal("idx1","i32"),s.addLocal("idx2","i32"),s.addLocal("i","i32");const l=s.getCodeBuilder(),c=l.i32_const(t.alloc(n)),d=l.i32_const(t.alloc(r)),u=l.i32_const(t.alloc(r));s.addCode(l.call(i+"_copy",l.getLocal("first"),c),l.setLocal("i",l.i32_const(0)),l.block(l.loop(l.br_if(1,l.i32_eq(l.getLocal("i"),l.getLocal("n"))),l.setLocal("idx1",l.i32_add(l.getLocal("pBuff1"),l.i32_mul(l.getLocal("i"),l.i32_const(r)))),l.setLocal("idx2",l.i32_add(l.getLocal("pBuff2"),l.i32_mul(l.getLocal("i"),l.i32_const(r)))),l.call(o,l.getLocal("idx2"),c,d),l.call(a+"_copy",l.getLocal("idx1"),u),l.call(a+"_add",u,d,l.getLocal("idx1")),l.call(a+"_sub",u,d,l.getLocal("idx2")),l.call(i+"_mul",c,l.getLocal("inc"),c),l.setLocal("i",l.i32_add(l.getLocal("i"),l.i32_const(1))),l.br(0))))}(),function(){const s=t.addFunction(e+"_fftJoinExt");s.addParam("pBuff1","i32"),s.addParam("pBuff2","i32"),s.addParam("n","i32"),s.addParam("first","i32"),s.addParam("inc","i32"),s.addParam("totalBits","i32"),s.addLocal("idx1","i32"),s.addLocal("idx2","i32"),s.addLocal("i","i32"),s.addLocal("pShiftToM","i32");const l=s.getCodeBuilder(),c=l.i32_const(t.alloc(n)),d=l.i32_const(t.alloc(r));s.addCode(l.setLocal("pShiftToM",l.i32_add(l.i32_const(A),l.i32_mul(l.getLocal("totalBits"),l.i32_const(n)))),l.call(i+"_copy",l.getLocal("first"),c),l.setLocal("i",l.i32_const(0)),l.block(l.loop(l.br_if(1,l.i32_eq(l.getLocal("i"),l.getLocal("n"))),l.setLocal("idx1",l.i32_add(l.getLocal("pBuff1"),l.i32_mul(l.getLocal("i"),l.i32_const(r)))),l.setLocal("idx2",l.i32_add(l.getLocal("pBuff2"),l.i32_mul(l.getLocal("i"),l.i32_const(r)))),l.call(a+"_add",l.getLocal("idx1"),l.getLocal("idx2"),d),l.call(o,l.getLocal("idx2"),l.getLocal("pShiftToM"),l.getLocal("idx2")),l.call(a+"_add",l.getLocal("idx1"),l.getLocal("idx2"),l.getLocal("idx2")),l.call(o,l.getLocal("idx2"),c,l.getLocal("idx2")),l.call(a+"_copy",d,l.getLocal("idx1")),l.call(i+"_mul",c,l.getLocal("inc"),c),l.setLocal("i",l.i32_add(l.getLocal("i"),l.i32_const(1))),l.br(0))))}(),function(){const s=t.addFunction(e+"_fftJoinExtInv");s.addParam("pBuff1","i32"),s.addParam("pBuff2","i32"),s.addParam("n","i32"),s.addParam("first","i32"),s.addParam("inc","i32"),s.addParam("totalBits","i32"),s.addLocal("idx1","i32"),s.addLocal("idx2","i32"),s.addLocal("i","i32"),s.addLocal("pShiftToM","i32"),s.addLocal("pSConst","i32");const l=s.getCodeBuilder(),c=l.i32_const(t.alloc(n)),d=l.i32_const(t.alloc(r));s.addCode(l.setLocal("pShiftToM",l.i32_add(l.i32_const(A),l.i32_mul(l.getLocal("totalBits"),l.i32_const(n)))),l.setLocal("pSConst",l.i32_add(l.i32_const(I),l.i32_mul(l.getLocal("totalBits"),l.i32_const(n)))),l.call(i+"_copy",l.getLocal("first"),c),l.setLocal("i",l.i32_const(0)),l.block(l.loop(l.br_if(1,l.i32_eq(l.getLocal("i"),l.getLocal("n"))),l.setLocal("idx1",l.i32_add(l.getLocal("pBuff1"),l.i32_mul(l.getLocal("i"),l.i32_const(r)))),l.setLocal("idx2",l.i32_add(l.getLocal("pBuff2"),l.i32_mul(l.getLocal("i"),l.i32_const(r)))),l.call(o,l.getLocal("idx2"),c,d),l.call(a+"_sub",l.getLocal("idx1"),d,l.getLocal("idx2")),l.call(o,l.getLocal("idx2"),l.getLocal("pSConst"),l.getLocal("idx2")),l.call(o,l.getLocal("idx1"),l.getLocal("pShiftToM"),l.getLocal("idx1")),l.call(a+"_sub",d,l.getLocal("idx1"),l.getLocal("idx1")),l.call(o,l.getLocal("idx1"),l.getLocal("pSConst"),l.getLocal("idx1")),l.call(i+"_mul",c,l.getLocal("inc"),c),l.setLocal("i",l.i32_add(l.getLocal("i"),l.i32_const(1))),l.br(0))))}(),function(){const s=t.addFunction(e+"_fftMix");s.addParam("pBuff","i32"),s.addParam("n","i32"),s.addParam("exp","i32"),s.addLocal("nGroups","i32"),s.addLocal("nPerGroup","i32"),s.addLocal("nPerGroupDiv2","i32"),s.addLocal("pairOffset","i32"),s.addLocal("idx1","i32"),s.addLocal("idx2","i32"),s.addLocal("i","i32"),s.addLocal("j","i32"),s.addLocal("pwm","i32");const l=s.getCodeBuilder(),c=l.i32_const(t.alloc(n)),d=l.i32_const(t.alloc(r)),u=l.i32_const(t.alloc(r));s.addCode(l.setLocal("nPerGroup",l.i32_shl(l.i32_const(1),l.getLocal("exp"))),l.setLocal("nPerGroupDiv2",l.i32_shr_u(l.getLocal("nPerGroup"),l.i32_const(1))),l.setLocal("nGroups",l.i32_shr_u(l.getLocal("n"),l.getLocal("exp"))),l.setLocal("pairOffset",l.i32_mul(l.getLocal("nPerGroupDiv2"),l.i32_const(r))),l.setLocal("pwm",l.i32_add(l.i32_const(p),l.i32_mul(l.getLocal("exp"),l.i32_const(n)))),l.setLocal("i",l.i32_const(0)),l.block(l.loop(l.br_if(1,l.i32_eq(l.getLocal("i"),l.getLocal("nGroups"))),l.call(i+"_one",c),l.setLocal("j",l.i32_const(0)),l.block(l.loop(l.br_if(1,l.i32_eq(l.getLocal("j"),l.getLocal("nPerGroupDiv2"))),l.setLocal("idx1",l.i32_add(l.getLocal("pBuff"),l.i32_mul(l.i32_add(l.i32_mul(l.getLocal("i"),l.getLocal("nPerGroup")),l.getLocal("j")),l.i32_const(r)))),l.setLocal("idx2",l.i32_add(l.getLocal("idx1"),l.getLocal("pairOffset"))),l.call(o,l.getLocal("idx2"),c,d),l.call(a+"_copy",l.getLocal("idx1"),u),l.call(a+"_add",u,d,l.getLocal("idx1")),l.call(a+"_sub",u,d,l.getLocal("idx2")),l.call(i+"_mul",c,l.getLocal("pwm"),c),l.setLocal("j",l.i32_add(l.getLocal("j"),l.i32_const(1))),l.br(0))),l.setLocal("i",l.i32_add(l.getLocal("i"),l.i32_const(1))),l.br(0))))}(),function(){const i=t.addFunction(e+"_fftFinal");i.addParam("pBuff","i32"),i.addParam("n","i32"),i.addParam("factor","i32"),i.addLocal("idx1","i32"),i.addLocal("idx2","i32"),i.addLocal("i","i32"),i.addLocal("ndiv2","i32");const n=i.getCodeBuilder(),s=n.i32_const(t.alloc(r));i.addCode(n.setLocal("ndiv2",n.i32_shr_u(n.getLocal("n"),n.i32_const(1))),n.if(n.i32_and(n.getLocal("n"),n.i32_const(1)),n.call(o,n.i32_add(n.getLocal("pBuff"),n.i32_mul(n.getLocal("ndiv2"),n.i32_const(r))),n.getLocal("factor"),n.i32_add(n.getLocal("pBuff"),n.i32_mul(n.getLocal("ndiv2"),n.i32_const(r))))),n.setLocal("i",n.i32_const(0)),n.block(n.loop(n.br_if(1,n.i32_ge_u(n.getLocal("i"),n.getLocal("ndiv2"))),n.setLocal("idx1",n.i32_add(n.getLocal("pBuff"),n.i32_mul(n.getLocal("i"),n.i32_const(r)))),n.setLocal("idx2",n.i32_add(n.getLocal("pBuff"),n.i32_mul(n.i32_sub(n.i32_sub(n.getLocal("n"),n.i32_const(1)),n.getLocal("i")),n.i32_const(r)))),n.call(o,n.getLocal("idx2"),n.getLocal("factor"),s),n.call(o,n.getLocal("idx1"),n.getLocal("factor"),n.getLocal("idx2")),n.call(a+"_copy",s,n.getLocal("idx1")),n.setLocal("i",n.i32_add(n.getLocal("i"),n.i32_const(1))),n.br(0))))}(),function(){const s=t.addFunction(e+"_prepareLagrangeEvaluation");s.addParam("pBuff1","i32"),s.addParam("pBuff2","i32"),s.addParam("n","i32"),s.addParam("first","i32"),s.addParam("inc","i32"),s.addParam("totalBits","i32"),s.addLocal("idx1","i32"),s.addLocal("idx2","i32"),s.addLocal("i","i32"),s.addLocal("pShiftToM","i32"),s.addLocal("pSConst","i32");const l=s.getCodeBuilder(),c=l.i32_const(t.alloc(n)),d=l.i32_const(t.alloc(r));s.addCode(l.setLocal("pShiftToM",l.i32_add(l.i32_const(A),l.i32_mul(l.getLocal("totalBits"),l.i32_const(n)))),l.setLocal("pSConst",l.i32_add(l.i32_const(I),l.i32_mul(l.getLocal("totalBits"),l.i32_const(n)))),l.call(i+"_copy",l.getLocal("first"),c),l.setLocal("i",l.i32_const(0)),l.block(l.loop(l.br_if(1,l.i32_eq(l.getLocal("i"),l.getLocal("n"))),l.setLocal("idx1",l.i32_add(l.getLocal("pBuff1"),l.i32_mul(l.getLocal("i"),l.i32_const(r)))),l.setLocal("idx2",l.i32_add(l.getLocal("pBuff2"),l.i32_mul(l.getLocal("i"),l.i32_const(r)))),l.call(o,l.getLocal("idx1"),l.getLocal("pShiftToM"),d),l.call(a+"_sub",l.getLocal("idx2"),d,d),l.call(a+"_sub",l.getLocal("idx1"),l.getLocal("idx2"),l.getLocal("idx2")),l.call(o,d,l.getLocal("pSConst"),l.getLocal("idx1")),l.call(o,l.getLocal("idx2"),c,l.getLocal("idx2")),l.call(i+"_mul",c,l.getLocal("inc"),c),l.setLocal("i",l.i32_add(l.getLocal("i"),l.i32_const(1))),l.br(0))))}(),t.exportFunction(e+"_fft"),t.exportFunction(e+"_ifft"),t.exportFunction(e+"_rawfft"),t.exportFunction(e+"_fftJoin"),t.exportFunction(e+"_fftJoinExt"),t.exportFunction(e+"_fftJoinExtInv"),t.exportFunction(e+"_fftMix"),t.exportFunction(e+"_fftFinal"),t.exportFunction(e+"_prepareLagrangeEvaluation")},ce=function(t,e,a){const i=8*t.modules[a].n64;return function(){const o=t.addFunction(e+"_zero");o.addParam("px","i32"),o.addParam("n","i32"),o.addLocal("lastp","i32"),o.addLocal("p","i32");const n=o.getCodeBuilder();o.addCode(n.setLocal("p",n.getLocal("px")),n.setLocal("lastp",n.i32_add(n.getLocal("px"),n.i32_mul(n.getLocal("n"),n.i32_const(i)))),n.block(n.loop(n.br_if(1,n.i32_eq(n.getLocal("p"),n.getLocal("lastp"))),n.call(a+"_zero",n.getLocal("p")),n.setLocal("p",n.i32_add(n.getLocal("p"),n.i32_const(i))),n.br(0))))}(),function(){const o=t.addFunction(e+"_constructLC");o.addParam("ppolynomials","i32"),o.addParam("psignals","i32"),o.addParam("nSignals","i32"),o.addParam("pres","i32"),o.addLocal("i","i32"),o.addLocal("j","i32"),o.addLocal("pp","i32"),o.addLocal("ps","i32"),o.addLocal("pd","i32"),o.addLocal("ncoefs","i32");const n=o.getCodeBuilder(),r=n.i32_const(t.alloc(i));o.addCode(n.setLocal("i",n.i32_const(0)),n.setLocal("pp",n.getLocal("ppolynomials")),n.setLocal("ps",n.getLocal("psignals")),n.block(n.loop(n.br_if(1,n.i32_eq(n.getLocal("i"),n.getLocal("nSignals"))),n.setLocal("ncoefs",n.i32_load(n.getLocal("pp"))),n.setLocal("pp",n.i32_add(n.getLocal("pp"),n.i32_const(4))),n.setLocal("j",n.i32_const(0)),n.block(n.loop(n.br_if(1,n.i32_eq(n.getLocal("j"),n.getLocal("ncoefs"))),n.setLocal("pd",n.i32_add(n.getLocal("pres"),n.i32_mul(n.i32_load(n.getLocal("pp")),n.i32_const(i)))),n.setLocal("pp",n.i32_add(n.getLocal("pp"),n.i32_const(4))),n.call(a+"_mul",n.getLocal("ps"),n.getLocal("pp"),r),n.call(a+"_add",r,n.getLocal("pd"),n.getLocal("pd")),n.setLocal("pp",n.i32_add(n.getLocal("pp"),n.i32_const(i))),n.setLocal("j",n.i32_add(n.getLocal("j"),n.i32_const(1))),n.br(0))),n.setLocal("ps",n.i32_add(n.getLocal("ps"),n.i32_const(i))),n.setLocal("i",n.i32_add(n.getLocal("i"),n.i32_const(1))),n.br(0))))}(),t.exportFunction(e+"_zero"),t.exportFunction(e+"_constructLC"),e},de=function(t,e,a){const i=8*t.modules[a].n64;return function(){const o=t.addFunction(e+"_buildABC");o.addParam("pCoefs","i32"),o.addParam("nCoefs","i32"),o.addParam("pWitness","i32"),o.addParam("pA","i32"),o.addParam("pB","i32"),o.addParam("pC","i32"),o.addParam("offsetOut","i32"),o.addParam("nOut","i32"),o.addParam("offsetWitness","i32"),o.addParam("nWitness","i32"),o.addLocal("it","i32"),o.addLocal("ita","i32"),o.addLocal("itb","i32"),o.addLocal("last","i32"),o.addLocal("m","i32"),o.addLocal("c","i32"),o.addLocal("s","i32"),o.addLocal("pOut","i32");const n=o.getCodeBuilder(),r=n.i32_const(t.alloc(i));o.addCode(n.setLocal("ita",n.getLocal("pA")),n.setLocal("itb",n.getLocal("pB")),n.setLocal("last",n.i32_add(n.getLocal("pA"),n.i32_mul(n.getLocal("nOut"),n.i32_const(i)))),n.block(n.loop(n.br_if(1,n.i32_eq(n.getLocal("ita"),n.getLocal("last"))),n.call(a+"_zero",n.getLocal("ita")),n.call(a+"_zero",n.getLocal("itb")),n.setLocal("ita",n.i32_add(n.getLocal("ita"),n.i32_const(i))),n.setLocal("itb",n.i32_add(n.getLocal("itb"),n.i32_const(i))),n.br(0))),n.setLocal("it",n.getLocal("pCoefs")),n.setLocal("last",n.i32_add(n.getLocal("pCoefs"),n.i32_mul(n.getLocal("nCoefs"),n.i32_const(i+12)))),n.block(n.loop(n.br_if(1,n.i32_eq(n.getLocal("it"),n.getLocal("last"))),n.setLocal("s",n.i32_load(n.getLocal("it"),8)),n.if(n.i32_or(n.i32_lt_u(n.getLocal("s"),n.getLocal("offsetWitness")),n.i32_ge_u(n.getLocal("s"),n.i32_add(n.getLocal("offsetWitness"),n.getLocal("nWitness")))),[...n.setLocal("it",n.i32_add(n.getLocal("it"),n.i32_const(i+12))),...n.br(1)]),n.setLocal("m",n.i32_load(n.getLocal("it"))),n.if(n.i32_eq(n.getLocal("m"),n.i32_const(0)),n.setLocal("pOut",n.getLocal("pA")),n.if(n.i32_eq(n.getLocal("m"),n.i32_const(1)),n.setLocal("pOut",n.getLocal("pB")),[...n.setLocal("it",n.i32_add(n.getLocal("it"),n.i32_const(i+12))),...n.br(1)])),n.setLocal("c",n.i32_load(n.getLocal("it"),4)),n.if(n.i32_or(n.i32_lt_u(n.getLocal("c"),n.getLocal("offsetOut")),n.i32_ge_u(n.getLocal("c"),n.i32_add(n.getLocal("offsetOut"),n.getLocal("nOut")))),[...n.setLocal("it",n.i32_add(n.getLocal("it"),n.i32_const(i+12))),...n.br(1)]),n.setLocal("pOut",n.i32_add(n.getLocal("pOut"),n.i32_mul(n.i32_sub(n.getLocal("c"),n.getLocal("offsetOut")),n.i32_const(i)))),n.call(a+"_mul",n.i32_add(n.getLocal("pWitness"),n.i32_mul(n.i32_sub(n.getLocal("s"),n.getLocal("offsetWitness")),n.i32_const(i))),n.i32_add(n.getLocal("it"),n.i32_const(12)),r),n.call(a+"_add",n.getLocal("pOut"),r,n.getLocal("pOut")),n.setLocal("it",n.i32_add(n.getLocal("it"),n.i32_const(i+12))),n.br(0))),n.setLocal("ita",n.getLocal("pA")),n.setLocal("itb",n.getLocal("pB")),n.setLocal("it",n.getLocal("pC")),n.setLocal("last",n.i32_add(n.getLocal("pA"),n.i32_mul(n.getLocal("nOut"),n.i32_const(i)))),n.block(n.loop(n.br_if(1,n.i32_eq(n.getLocal("ita"),n.getLocal("last"))),n.call(a+"_mul",n.getLocal("ita"),n.getLocal("itb"),n.getLocal("it")),n.setLocal("ita",n.i32_add(n.getLocal("ita"),n.i32_const(i))),n.setLocal("itb",n.i32_add(n.getLocal("itb"),n.i32_const(i))),n.setLocal("it",n.i32_add(n.getLocal("it"),n.i32_const(i))),n.br(0))))}(),function(){const o=t.addFunction(e+"_joinABC");o.addParam("pA","i32"),o.addParam("pB","i32"),o.addParam("pC","i32"),o.addParam("n","i32"),o.addParam("pP","i32"),o.addLocal("ita","i32"),o.addLocal("itb","i32"),o.addLocal("itc","i32"),o.addLocal("itp","i32"),o.addLocal("last","i32");const n=o.getCodeBuilder(),r=n.i32_const(t.alloc(i));o.addCode(n.setLocal("ita",n.getLocal("pA")),n.setLocal("itb",n.getLocal("pB")),n.setLocal("itc",n.getLocal("pC")),n.setLocal("itp",n.getLocal("pP")),n.setLocal("last",n.i32_add(n.getLocal("pA"),n.i32_mul(n.getLocal("n"),n.i32_const(i)))),n.block(n.loop(n.br_if(1,n.i32_eq(n.getLocal("ita"),n.getLocal("last"))),n.call(a+"_mul",n.getLocal("ita"),n.getLocal("itb"),r),n.call(a+"_sub",r,n.getLocal("itc"),n.getLocal("itp")),n.setLocal("ita",n.i32_add(n.getLocal("ita"),n.i32_const(i))),n.setLocal("itb",n.i32_add(n.getLocal("itb"),n.i32_const(i))),n.setLocal("itc",n.i32_add(n.getLocal("itc"),n.i32_const(i))),n.setLocal("itp",n.i32_add(n.getLocal("itp"),n.i32_const(i))),n.br(0))))}(),function(){const o=t.addFunction(e+"_batchAdd");o.addParam("pa","i32"),o.addParam("pb","i32"),o.addParam("n","i32"),o.addParam("pr","i32"),o.addLocal("ita","i32"),o.addLocal("itb","i32"),o.addLocal("itr","i32"),o.addLocal("last","i32");const n=o.getCodeBuilder();o.addCode(n.setLocal("ita",n.getLocal("pa")),n.setLocal("itb",n.getLocal("pb")),n.setLocal("itr",n.getLocal("pr")),n.setLocal("last",n.i32_add(n.getLocal("pa"),n.i32_mul(n.getLocal("n"),n.i32_const(i)))),n.block(n.loop(n.br_if(1,n.i32_eq(n.getLocal("ita"),n.getLocal("last"))),n.call(a+"_add",n.getLocal("ita"),n.getLocal("itb"),n.getLocal("itr")),n.setLocal("ita",n.i32_add(n.getLocal("ita"),n.i32_const(i))),n.setLocal("itb",n.i32_add(n.getLocal("itb"),n.i32_const(i))),n.setLocal("itr",n.i32_add(n.getLocal("itr"),n.i32_const(i))),n.br(0))))}(),t.exportFunction(e+"_buildABC"),t.exportFunction(e+"_joinABC"),t.exportFunction(e+"_batchAdd"),e},ue=function(t,e,a,i,o,n,r,s){const l=t.addFunction(e);l.addParam("pIn","i32"),l.addParam("n","i32"),l.addParam("pFirst","i32"),l.addParam("pInc","i32"),l.addParam("pOut","i32"),l.addLocal("pOldFree","i32"),l.addLocal("i","i32"),l.addLocal("pFrom","i32"),l.addLocal("pTo","i32");const c=l.getCodeBuilder(),d=c.i32_const(t.alloc(r));l.addCode(c.setLocal("pFrom",c.getLocal("pIn")),c.setLocal("pTo",c.getLocal("pOut"))),l.addCode(c.call(i+"_copy",c.getLocal("pFirst"),d)),l.addCode(c.setLocal("i",c.i32_const(0)),c.block(c.loop(c.br_if(1,c.i32_eq(c.getLocal("i"),c.getLocal("n"))),c.call(s,c.getLocal("pFrom"),d,c.getLocal("pTo")),c.setLocal("pFrom",c.i32_add(c.getLocal("pFrom"),c.i32_const(o))),c.setLocal("pTo",c.i32_add(c.getLocal("pTo"),c.i32_const(n))),c.call(i+"_mul",d,c.getLocal("pInc"),d),c.setLocal("i",c.i32_add(c.getLocal("i"),c.i32_const(1))),c.br(0)))),t.exportFunction(e)};const ge=d.exports,fe=St,_e=Vt,pe=Ht,he=Wt,me=ee,Le=ne,we=le,be=ce,ye=de,Ae=ue;const Ie=d.exports,Ce=St,xe=Vt,Fe=Ht,ve=Wt,Ee=ee,Be=ne,Se=le,Ge=ce,Pe=de,Oe=ue;var Ue=function(t,e){const a=e||"bn128";if(t.modules[a])return a;const i=ge("21888242871839275222246405745257275088696311157297823662689037894645226208583"),o=ge("21888242871839275222246405745257275088548364400416034343698204186575808495617"),n=Math.floor((i.minus(1).bitLength()-1)/64)+1,r=8*n,s=r,l=r,c=2*l,d=12*l,u=t.alloc(fe.bigInt2BytesLE(o,s)),g=_e(t,i,"f1m");pe(t,o,"fr","frm");const f=t.alloc(fe.bigInt2BytesLE(w(ge(3)),l)),_=Le(t,"g1m","f1m",f);we(t,"frm","frm","frm","frm_mul"),be(t,"pol","frm"),ye(t,"qap","frm");const p=he(t,"f1m_neg","f2m","f1m"),h=t.alloc([...fe.bigInt2BytesLE(w(ge("19485874751759354771024239261021720505790618469301721065564631296452457478373")),l),...fe.bigInt2BytesLE(w(ge("266929791119991161246907387137283842545076965332900288569378510910307636690")),l)]),m=Le(t,"g2m","f2m",h);function L(e,a){const i=t.addFunction(e);i.addParam("pG","i32"),i.addParam("pFr","i32"),i.addParam("pr","i32");const o=i.getCodeBuilder(),n=o.i32_const(t.alloc(r));i.addCode(o.call("frm_fromMontgomery",o.getLocal("pFr"),n),o.call(a,o.getLocal("pG"),n,o.i32_const(r),o.getLocal("pr"))),t.exportFunction(e)}function w(t){return ge(t).times(ge.one.shiftLeft(8*l)).mod(i)}L("g1m_timesFr","g1m_timesScalar"),we(t,"g1m","g1m","frm","g1m_timesFr"),L("g2m_timesFr","g2m_timesScalar"),we(t,"g2m","g2m","frm","g2m_timesFr"),L("g1m_timesFrAffine","g1m_timesScalarAffine"),L("g2m_timesFrAffine","g2m_timesScalarAffine"),Ae(t,"frm_batchApplyKey","fmr","frm",r,r,r,"frm_mul"),Ae(t,"g1m_batchApplyKey","g1m","frm",3*r,3*r,r,"g1m_timesFr"),Ae(t,"g1m_batchApplyKeyMixed","g1m","frm",2*r,3*r,r,"g1m_timesFrAffine"),Ae(t,"g2m_batchApplyKey","g2m","frm",2*r*3,3*r*2,r,"g2m_timesFr"),Ae(t,"g2m_batchApplyKeyMixed","g2m","frm",2*r*2,3*r*2,r,"g2m_timesFrAffine");const 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s=r.getCodeBuilder();for(let a=0;a<6;a++){const i=0==a?s.getLocal("x"):s.i32_add(s.getLocal("x"),s.i32_const(a*c)),u=i,f=s.i32_add(s.getLocal("x"),s.i32_const(a*c+l)),_=0==a?s.getLocal("r"):s.i32_add(s.getLocal("r"),s.i32_const(a*c)),h=_,m=s.i32_add(s.getLocal("r"),s.i32_const(a*c+l)),L=d(o[Math.floor(a/3)][e%12],n[a%3][e%6]),b=t.alloc([...fe.bigInt2BytesLE(w(L[0]),32),...fe.bigInt2BytesLE(w(L[1]),32)]);e%2==1?r.addCode(s.call(g+"_copy",u,h),s.call(g+"_neg",f,m),s.call(p+"_mul",_,s.i32_const(b),_)):r.addCode(s.call(p+"_mul",i,s.i32_const(b),_))}function d(t,e){const a=ge(t[0]),o=ge(t[1]),n=ge(e[0]),r=ge(e[1]),s=[a.times(n).minus(o.times(r)).mod(i),a.times(r).add(o.times(n)).mod(i)];return s[0].isNegative()&&(s[0]=s[0].add(i)),s}}function V(e,i){const o=function(t){let e=t;const a=[];for(;e.gt(ge.zero);){if(e.isOdd()){const t=2-e.mod(4).toJSNumber();a.push(t),e=e.minus(t)}else a.push(0);e=e.shiftRight(1)}return 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i=e.getCodeBuilder(),o=i.getLocal("x"),n=i.i32_add(i.getLocal("x"),i.i32_const(c)),r=i.i32_add(i.getLocal("x"),i.i32_const(2*c)),s=i.i32_add(i.getLocal("x"),i.i32_const(3*c)),l=i.i32_add(i.getLocal("x"),i.i32_const(4*c)),d=i.i32_add(i.getLocal("x"),i.i32_const(5*c)),u=i.getLocal("r"),g=i.i32_add(i.getLocal("r"),i.i32_const(c)),f=i.i32_add(i.getLocal("r"),i.i32_const(2*c)),_=i.i32_add(i.getLocal("r"),i.i32_const(3*c)),h=i.i32_add(i.getLocal("r"),i.i32_const(4*c)),m=i.i32_add(i.getLocal("r"),i.i32_const(5*c)),L=i.i32_const(t.alloc(c)),w=i.i32_const(t.alloc(c)),b=i.i32_const(t.alloc(c)),y=i.i32_const(t.alloc(c)),A=i.i32_const(t.alloc(c)),I=i.i32_const(t.alloc(c)),C=i.i32_const(t.alloc(c)),x=i.i32_const(t.alloc(c));e.addCode(i.call(p+"_mul",o,l,C),i.call(p+"_mul",l,i.i32_const(B),L),i.call(p+"_add",o,L,L),i.call(p+"_add",o,l,x),i.call(p+"_mul",x,L,L),i.call(p+"_mul",i.i32_const(B),C,x),i.call(p+"_add",C,x,x),i.call(p+"_sub",L,x,L),i.call(p+"_add",C,C,w),i.call(p+"_mul",s,r,C),i.call(p+"_mul",r,i.i32_const(B),b),i.call(p+"_add",s,b,b),i.call(p+"_add",s,r,x),i.call(p+"_mul",x,b,b),i.call(p+"_mul",i.i32_const(B),C,x),i.call(p+"_add",C,x,x),i.call(p+"_sub",b,x,b),i.call(p+"_add",C,C,y),i.call(p+"_mul",n,d,C),i.call(p+"_mul",d,i.i32_const(B),A),i.call(p+"_add",n,A,A),i.call(p+"_add",n,d,x),i.call(p+"_mul",x,A,A),i.call(p+"_mul",i.i32_const(B),C,x),i.call(p+"_add",C,x,x),i.call(p+"_sub",A,x,A),i.call(p+"_add",C,C,I),i.call(p+"_sub",L,o,u),i.call(p+"_add",u,u,u),i.call(p+"_add",L,u,u),i.call(p+"_add",w,l,h),i.call(p+"_add",h,h,h),i.call(p+"_add",w,h,h),i.call(p+"_mul",I,i.i32_const(G),x),i.call(p+"_add",x,s,_),i.call(p+"_add",_,_,_),i.call(p+"_add",x,_,_),i.call(p+"_sub",A,r,f),i.call(p+"_add",f,f,f),i.call(p+"_add",A,f,f),i.call(p+"_sub",b,n,g),i.call(p+"_add",g,g,g),i.call(p+"_add",b,g,g),i.call(p+"_add",y,d,m),i.call(p+"_add",m,m,m),i.call(p+"_add",y,m,m))}(),V(N,"w0");const 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i=e.getCodeBuilder(),o=i.getLocal("x"),n=i.getLocal("r"),r=i.i32_const(t.alloc(d)),s=i.i32_const(t.alloc(d)),l=i.i32_const(t.alloc(d)),u=i.i32_const(t.alloc(d)),g=i.i32_const(t.alloc(d)),f=i.i32_const(t.alloc(d)),_=i.i32_const(t.alloc(d)),h=i.i32_const(t.alloc(d)),m=i.i32_const(t.alloc(d)),L=i.i32_const(t.alloc(d)),w=i.i32_const(t.alloc(d)),b=i.i32_const(t.alloc(d)),y=i.i32_const(t.alloc(d)),A=i.i32_const(t.alloc(d)),I=i.i32_const(t.alloc(d)),C=i.i32_const(t.alloc(d)),x=i.i32_const(t.alloc(d)),F=i.i32_const(t.alloc(d)),v=i.i32_const(t.alloc(d)),E=i.i32_const(t.alloc(d)),S=i.i32_const(t.alloc(d));e.addCode(i.call(a+"__cyclotomicExp_w0",o,r),i.call(U+"_conjugate",r,r),i.call(a+"__cyclotomicSquare",r,s),i.call(a+"__cyclotomicSquare",s,l),i.call(U+"_mul",l,s,u),i.call(a+"__cyclotomicExp_w0",u,g),i.call(U+"_conjugate",g,g),i.call(a+"__cyclotomicSquare",g,f),i.call(a+"__cyclotomicExp_w0",f,_),i.call(U+"_conjugate",_,_),i.call(U+"_conjugate",u,h),i.call(U+"_conjugate",_,m),i.call(U+"_mul",m,g,L),i.call(U+"_mul",L,h,w),i.call(U+"_mul",w,s,b),i.call(U+"_mul",w,g,y),i.call(U+"_mul",y,o,A),i.call(a+"__frobeniusMap1",b,I),i.call(U+"_mul",I,A,C),i.call(a+"__frobeniusMap2",w,x),i.call(U+"_mul",x,C,F),i.call(U+"_conjugate",o,v),i.call(U+"_mul",v,b,E),i.call(a+"__frobeniusMap3",E,S),i.call(U+"_mul",S,F,n))}const K=t.alloc(k),H=t.alloc(R);function $(e){const i=t.addFunction(a+"_pairingEq"+e);for(let t=0;tt+(0!=e?1:0)),0),T=6*r,k=3*r*2+(M+Q+1)*q,R=Ie("15132376222941642752");function N(e){const a=[[[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")]],[[Ie("1"),Ie("0")],[Ie("3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760"),Ie("151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027")],[Ie("793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351"),Ie("0")],[Ie("2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530"),Ie("1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257")],[Ie("793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),Ie("0")],[Ie("3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557"),Ie("877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230")],[Ie("4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559786"),Ie("0")],[Ie("151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027"),Ie("3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760")],[Ie("4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),Ie("0")],[Ie("1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257"),Ie("2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530")],[Ie("4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437"),Ie("0")],[Ie("877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230"),Ie("3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557")]]],o=[[[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")],[Ie("1"),Ie("0")]],[[Ie("1"),Ie("0")],[Ie("0"),Ie("4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436")],[Ie("793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),Ie("0")],[Ie("0"),Ie("1")],[Ie("4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),Ie("0")],[Ie("0"),Ie("793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350")]],[[Ie("1"),Ie("0")],[Ie("4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437"),Ie("0")],[Ie("4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436"),Ie("0")],[Ie("4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559786"),Ie("0")],[Ie("793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350"),Ie("0")],[Ie("793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351"),Ie("0")]]],n=t.addFunction(O+"_frobeniusMap"+e);n.addParam("x","i32"),n.addParam("r","i32");const c=n.getCodeBuilder();for(let i=0;i<6;i++){const u=0==i?c.getLocal("x"):c.i32_add(c.getLocal("x"),c.i32_const(i*l)),g=u,f=c.i32_add(c.getLocal("x"),c.i32_const(i*l+s)),p=0==i?c.getLocal("r"):c.i32_add(c.getLocal("r"),c.i32_const(i*l)),h=p,L=c.i32_add(c.getLocal("r"),c.i32_const(i*l+s)),w=d(a[Math.floor(i/3)][e%12],o[i%3][e%6]),b=t.alloc([...Ce.bigInt2BytesLE(y(w[0]),r),...Ce.bigInt2BytesLE(y(w[1]),r)]);e%2==1?n.addCode(c.call(_+"_copy",g,h),c.call(_+"_neg",f,L),c.call(m+"_mul",p,c.i32_const(b),p)):n.addCode(c.call(m+"_mul",u,c.i32_const(b),p))}function d(t,e){const a=Ie(t[0]),o=Ie(t[1]),n=Ie(e[0]),r=Ie(e[1]),s=[a.times(n).minus(o.times(r)).mod(i),a.times(r).add(o.times(n)).mod(i)];return s[0].isNegative()&&(s[0]=s[0].add(i)),s}}function D(e,i,o){const n=function(t){let e=t;const a=[];for(;e.gt(Ie.zero);){if(e.isOdd()){const t=2-e.mod(4).toJSNumber();a.push(t),e=e.minus(t)}else a.push(0);e=e.shiftRight(1)}return a}(e).map((t=>-1==t?255:t)),r=t.alloc(n),s=t.addFunction(a+"__cyclotomicExp_"+o);s.addParam("x","i32"),s.addParam("r","i32"),s.addLocal("bit","i32"),s.addLocal("i","i32");const l=s.getCodeBuilder(),d=l.getLocal("x"),u=l.getLocal("r"),g=l.i32_const(t.alloc(c));s.addCode(l.call(O+"_conjugate",d,g),l.call(O+"_one",u),l.if(l.teeLocal("bit",l.i32_load8_s(l.i32_const(n.length-1),r)),l.if(l.i32_eq(l.getLocal("bit"),l.i32_const(1)),l.call(O+"_mul",u,d,u),l.call(O+"_mul",u,g,u))),l.setLocal("i",l.i32_const(n.length-2)),l.block(l.loop(l.call(a+"__cyclotomicSquare",u,u),l.if(l.teeLocal("bit",l.i32_load8_s(l.getLocal("i"),r)),l.if(l.i32_eq(l.getLocal("bit"),l.i32_const(1)),l.call(O+"_mul",u,d,u),l.call(O+"_mul",u,g,u))),l.br_if(1,l.i32_eqz(l.getLocal("i"))),l.setLocal("i",l.i32_sub(l.getLocal("i"),l.i32_const(1))),l.br(0)))),i&&s.addCode(l.call(O+"_conjugate",u,u))}t.modules[a]={n64q:n,n64r:d,n8q:r,n8r:u,pG1gen:I,pG1zero:x,pG1b:p,pG2gen:v,pG2zero:B,pG2b:L,pq:t.modules.f1m.pq,pr:f,pOneT:S,r:o,q:i,prePSize:T,preQSize:k},function(){const e=t.addFunction(P+"_mul1");e.addParam("pA","i32"),e.addParam("pC1","i32"),e.addParam("pR","i32");const a=e.getCodeBuilder(),i=a.getLocal("pA"),o=a.i32_add(a.getLocal("pA"),a.i32_const(2*s)),n=a.i32_add(a.getLocal("pA"),a.i32_const(4*s)),r=a.getLocal("pC1"),l=a.getLocal("pR"),c=a.i32_add(a.getLocal("pR"),a.i32_const(2*s)),d=a.i32_add(a.getLocal("pR"),a.i32_const(4*s)),u=a.i32_const(t.alloc(2*s)),g=a.i32_const(t.alloc(2*s));e.addCode(a.call(m+"_add",i,o,u),a.call(m+"_add",o,n,g),a.call(m+"_mul",o,r,d),a.call(m+"_mul",g,r,l),a.call(m+"_sub",l,d,l),a.call(m+"_mulNR",l,l),a.call(m+"_mul",u,r,c),a.call(m+"_sub",c,d,c))}(),function(){const e=t.addFunction(P+"_mul01");e.addParam("pA","i32"),e.addParam("pC0","i32"),e.addParam("pC1","i32"),e.addParam("pR","i32");const 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this.tm.setBuff(this.pOp1,t),this.tm.setBuff(this.pOp2,e),this.tm.instance.exports[this.prefix+"_inverse"](this.pOp2,this.pOp2),this.tm.instance.exports[this.prefix+"_mul"](this.pOp1,this.pOp2,this.pOp3),this.tm.getBuff(this.pOp3,this.n8)}square(t){return this.op1("_square",t)}isSquare(t){return this.op1Bool("_isSquare",t)}sqrt(t){return this.op1("_sqrt",t)}exp(t,e){return e instanceof Uint8Array||(e=F(S(e))),this.tm.setBuff(this.pOp1,t),this.tm.setBuff(this.pOp2,e),this.tm.instance.exports[this.prefix+"_exp"](this.pOp1,this.pOp2,e.byteLength,this.pOp3),this.tm.getBuff(this.pOp3,this.n8)}isNegative(t){return this.op1Bool("_isNegative",t)}e(t,e){if(t instanceof Uint8Array)return t;let a=S(t,e);O(a)?(a=K(a),it(a,this.p)&&(a=X(a,this.p)),a=j(this.p,a)):it(a,this.p)&&(a=X(a,this.p));const i=Ze(a,this.n8);return this.toMontgomery(i)}toString(t,e){const a=this.fromMontgomery(t),i=I(a,0);return x(i,e)}fromRng(t){let e;const a=new Uint8Array(this.n8);do{e=v;for(let 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Array.from(t,(function(t){return("0"+(255&t).toString(16)).slice(-2)})).join("")},ba.ident=function t(e){if("string"==typeof e){let t=e.split("\n");for(let e=0;eBa[t.type]))],...this.returnType?[1,Ba[this.returnType]]:[0]]}getBody(){const t=this.locals.map((t=>[...Ea.varuint32(t.length),Ba[t.type]])),e=[...Ea.varuint32(this.locals.length),...[].concat(...t),...this.code,11];return[...Ea.varuint32(e.length),...e]}addCode(...t){this.code.push(...[].concat(...t))}getCodeBuilder(){return new va(this)}};const Ga=Sa,Pa=ba;var Oa=class{constructor(){this.functions=[],this.functionIdxByName={},this.nImportFunctions=0,this.nInternalFunctions=0,this.memory={pagesSize:1,moduleName:"env",fieldName:"memory"},this.free=8,this.datas=[],this.modules={},this.exports=[],this.functionsTable=[]}build(){return this._setSignatures(),new 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e=0;e{e.pendingLoads.push({page:t,resolve:a,reject:i})}));return e.__statusPage("After Load request: ",t),a}__statusPage(t,e){const a=[],i=this;if(!i.logHistory)return;a.push("=="+t+" "+e);let o="";for(let t=0;t "+e.history[t][a][i])}_triggerLoad(){const t=this;if(t.reading)return;if(0==t.pendingLoads.length)return;const e=Object.keys(t.pages),a=[];for(let i=0;i0&&(void 0!==t.pages[t.pendingLoads[0].page]||i>0||a.length>0);){const e=t.pendingLoads.shift();if(void 0!==t.pages[e.page]){t.pages[e.page].pendingOps++;const i=a.indexOf(e.page);i>=0&&a.splice(i,1),t.pages[e.page].loading?t.pages[e.page].loading.push(e):e.resolve(),t.__statusPage("After Load (cached): ",e.page)}else{if(i)i--;else{const e=a.shift();t.__statusPage("Before Unload: ",e),t.avBuffs.unshift(t.pages[e]),delete t.pages[e],t.__statusPage("After Unload: ",e)}e.page>=t.totalPages?(t.pages[e.page]=n(),e.resolve(),t.__statusPage("After Load (new): 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l=n,c=i%o.pageSize,d=i+a>o.totalSize?a-(i+a-o.totalSize):a;for(;d>0;){await s[l-n],o.__statusPage("After Await (read): ",l);const i=c+d>o.pageSize?o.pageSize-c:d,r=new Uint8Array(o.pages[l].buff.buffer,o.pages[l].buff.byteOffset+c,i);t.set(r,e+a-d),o.pages[l].pendingOps--,o.__statusPage("After Op done: ",l),d-=i,l++,c=0,o.pendingLoads.length>0&&setImmediate(o._triggerLoad.bind(o))}this.pos=i+a}_tryClose(){const t=this;if(!t.pendingClose)return;t.error&&t.pendingCloseReject(t.error);t._getDirtyPage()>=0||t.writing||t.reading||t.pendingLoads.length>0||t.pendingClose()}close(){const t=this;if(t.pendingClose)throw new Error("Closing the file twice");return new Promise(((e,a)=>{t.pendingClose=e,t.pendingCloseReject=a,t._tryClose()})).then((()=>{t.fd.close()}),(e=>{throw t.fd.close(),e}))}async discard(){await this.close(),await ka.promises.unlink(this.fileName)}async writeULE32(t,e){const a=new Uint8Array(4);new DataView(a.buffer).setUint32(0,t,!0),await this.write(a,e)}async writeUBE32(t,e){const a=new Uint8Array(4);new DataView(a.buffer).setUint32(0,t,!1),await this.write(a,e)}async writeULE64(t,e){const a=new Uint8Array(8),i=new DataView(a.buffer);i.setUint32(0,4294967295&t,!0),i.setUint32(4,Math.floor(t/4294967296),!0),await this.write(a,e)}async readULE32(t){const e=await this.read(4,t);return new Uint32Array(e.buffer)[0]}async readUBE32(t){const e=await this.read(4,t);return new DataView(e.buffer).getUint32(0,!1)}async readULE64(t){const e=await this.read(8,t),a=new Uint32Array(e.buffer);return 4294967296*a[1]+a[0]}async readString(t){const e=this;if(e.pendingClose)throw new Error("Reading a closing file");let a=void 0===t?e.pos:t,i=Math.floor(a/e.pageSize),o=!1,n="";for(;!o;){let t=e._loadPage(i);e._triggerLoad(),await t,e.__statusPage("After Await (read): ",i);let r=a%e.pageSize;const s=new Uint8Array(e.pages[i].buff.buffer,e.pages[i].buff.byteOffset+r,e.pageSize-r);let l=s.findIndex((t=>0===t));o=-1!==l,o?(n+=(new TextDecoder).decode(s.slice(0,l)),e.pos=i*this.pageSize+r+l+1):(n+=(new TextDecoder).decode(s),e.pos=i*this.pageSize+r+s.length),e.pages[i].pendingOps--,e.__statusPage("After Op done: ",i),a=e.pos,i++,e.pendingLoads.length>0&&setImmediate(e._triggerLoad.bind(e))}return n}}const Da=new Uint8Array(4),Va=new DataView(Da.buffer),ja=new Uint8Array(8),Ka=new DataView(ja.buffer);class Ha{constructor(){this.pageSize=16384}_resizeIfNeeded(t){if(t>this.allocSize){const e=Math.max(this.allocSize+(1<<20),Math.floor(1.1*this.allocSize),t),a=new Uint8Array(e);a.set(this.o.data),this.o.data=a,this.allocSize=e}}async write(t,e){if(void 0===e&&(e=this.pos),this.readOnly)throw new Error("Writing a read only file");this._resizeIfNeeded(e+t.byteLength),this.o.data.set(t.slice(),e),e+t.byteLength>this.totalSize&&(this.totalSize=e+t.byteLength),this.pos=e+t.byteLength}async readToBuffer(t,e,a,i){if(void 0===i&&(i=this.pos),this.readOnly&&i+a>this.totalSize)throw new Error("Reading out of bounds");this._resizeIfNeeded(i+a);const o=new Uint8Array(this.o.data.buffer,this.o.data.byteOffset+i,a);t.set(o,e),this.pos=i+a}async read(t,e){const a=new Uint8Array(t);return await this.readToBuffer(a,0,t,e),a}close(){this.o.data.byteLength!=this.totalSize&&(this.o.data=this.o.data.slice(0,this.totalSize))}async discard(){}async writeULE32(t,e){Va.setUint32(0,t,!0),await this.write(Da,e)}async writeUBE32(t,e){Va.setUint32(0,t,!1),await this.write(Da,e)}async writeULE64(t,e){Ka.setUint32(0,4294967295&t,!0),Ka.setUint32(4,Math.floor(t/4294967296),!0),await this.write(ja,e)}async readULE32(t){const e=await this.read(4,t);return new Uint32Array(e.buffer)[0]}async readUBE32(t){const e=await this.read(4,t);return new DataView(e.buffer).getUint32(0,!1)}async readULE64(t){const e=await this.read(8,t),a=new Uint32Array(e.buffer);return 4294967296*a[1]+a[0]}async readString(t){const e=this;let a=void 0===t?e.pos:t;if(a>this.totalSize){if(this.readOnly)throw new Error("Reading out of bounds");this._resizeIfNeeded(t)}const i=new Uint8Array(e.o.data.buffer,a,this.totalSize-a);let o=i.findIndex((t=>0===t)),n="";return-1!==o?(n=(new TextDecoder).decode(i.slice(0,o)),e.pos=a+o+1):e.pos=a,n}}const $a=1<<22;const Za=new Uint8Array(4),Ja=new DataView(Za.buffer),Ya=new Uint8Array(8),Wa=new DataView(Ya.buffer);class Xa{constructor(){this.pageSize=16384}_resizeIfNeeded(t){if(t<=this.totalSize)return;if(this.readOnly)throw new Error("Reading out of file bounds");const e=Math.floor((t-1)/$a)+1;for(let a=Math.max(this.o.data.length-1,0);a0;){const e=o+n>$a?$a-o:n,r=t.slice(t.byteLength-n,t.byteLength-n+e);new Uint8Array(a.o.data[i].buffer,o,e).set(r),n-=e,i++,o=0}this.pos=e+t.byteLength}async readToBuffer(t,e,a,i){const o=this;if(void 0===i&&(i=o.pos),this.readOnly&&i+a>this.totalSize)throw new Error("Reading out of bounds");this._resizeIfNeeded(i+a);let n=Math.floor(i/$a),r=i%$a,s=a;for(;s>0;){const i=r+s>$a?$a-r:s,l=new Uint8Array(o.o.data[n].buffer,r,i);t.set(l,e+a-s),s-=i,n++,r=0}this.pos=i+a}async read(t,e){const a=new Uint8Array(t);return await this.readToBuffer(a,0,t,e),a}close(){}async discard(){}async writeULE32(t,e){Ja.setUint32(0,t,!0),await this.write(Za,e)}async writeUBE32(t,e){Ja.setUint32(0,t,!1),await this.write(Za,e)}async writeULE64(t,e){Wa.setUint32(0,4294967295&t,!0),Wa.setUint32(4,Math.floor(t/4294967296),!0),await this.write(Ya,e)}async readULE32(t){const e=await this.read(4,t);return new Uint32Array(e.buffer)[0]}async readUBE32(t){const e=await this.read(4,t);return new DataView(e.buffer).getUint32(0,!1)}async readULE64(t){const e=await this.read(8,t),a=new Uint32Array(e.buffer);return 4294967296*a[1]+a[0]}async readString(t){const e=this;let a=void 0===t?e.pos:t;if(a>this.totalSize){if(this.readOnly)throw new Error("Reading out of bounds");this._resizeIfNeeded(t)}let i=!1,o="";for(;!i;){let t=Math.floor(a/$a),n=a%$a;if(void 0===e.o.data[t])throw new Error("ERROR");let r=Math.min(2048,e.o.data[t].length-n);const s=new Uint8Array(e.o.data[t].buffer,n,r);let l=s.findIndex((t=>0===t));i=-1!==l,i?(o+=(new TextDecoder).decode(s.slice(0,l)),e.pos=t*$a+n+l+1):(o+=(new TextDecoder).decode(s),e.pos=t*$a+n+s.length),a=e.pos}return o}}async function ti(t,e,a){if("string"==typeof t&&(t={type:"file",fileName:t,cacheSize:e||65536,pageSize:a||8192}),"file"==t.type)return await Ra(t.fileName,1538,t.cacheSize,t.pageSize);if("mem"==t.type)return function(t){const e=t.initialSize||1<<20,a=new Ha;return a.o=t,a.o.data=new Uint8Array(e),a.allocSize=e,a.totalSize=0,a.readOnly=!1,a.pos=0,a}(t);if("bigMem"==t.type)return function(t){const e=t.initialSize||0,a=new Xa;a.o=t;const i=e?Math.floor((e-1)/$a)+1:0;a.o.data=[];for(let t=0;ta)throw new Error("Version not supported");const l=await n.readULE32();let c=[];for(let t=0;t1)throw new Error(t.fileName+": Section Duplicated "+a);t.pos=e[a][0].p,t.readingSection=e[a][0]}async function si(t,e){if(void 0===t.readingSection)throw 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(Entropy): ","");const e=mi.exports(64);e.update(mt.randomBytes(64));const a=new TextEncoder;e.update(a.encode(t));const i=Buffer.from(e.digest()),o=[];for(let t=0;t<8;t++)o[t]=i.readUInt32BE(4*t);return new ht(o)}function ho(t,e){let a,i;e<32?(a=1<>>0,i=1):(a=4294967296,i=1<>>0);let o=t;for(let t=0;t{a[i]=wo(t,e[i])})),a}return"bigint"==typeof e||void 0!==e.eq?e.toString(10):e}async function bo(t,e){await oi(t,1),await t.writeULE32(1),await ni(t);const a=await pi(e.q);await oi(t,2);const i=a.q,o=8*(Math.floor((Ma.bitLength(i)-1)/64)+1),n=a.r,r=8*(Math.floor((Ma.bitLength(n)-1)/64)+1);await t.writeULE32(o),await li(t,i,o),await t.writeULE32(r),await li(t,n,r),await t.writeULE32(e.nVars),await t.writeULE32(e.nPublic),await t.writeULE32(e.domainSize),await yo(t,a,e.vk_alpha_1),await yo(t,a,e.vk_beta_1),await Ao(t,a,e.vk_beta_2),await Ao(t,a,e.vk_gamma_2),await yo(t,a,e.vk_delta_1),await Ao(t,a,e.vk_delta_2),await ni(t)}async function yo(t,e,a){const i=new Uint8Array(2*e.G1.F.n8);e.G1.toRprLEM(i,0,a),await t.write(i)}async function Ao(t,e,a){const i=new Uint8Array(2*e.G2.F.n8);e.G2.toRprLEM(i,0,a),await t.write(i)}async function Io(t,e,a){const i=await t.read(2*e.G1.F.n8),o=e.G1.fromRprLEM(i,0);return a?e.G1.toObject(o):o}async function Co(t,e,a){const i=await t.read(2*e.G2.F.n8),o=e.G2.fromRprLEM(i,0);return a?e.G2.toObject(o):o}async function xo(t,e,a){await ri(t,e,1);const i=await t.readULE32();if(await si(t),1==i)return await async function(t,e,a){const i={protocol:"groth16"};await ri(t,e,2);const o=await t.readULE32();i.n8q=o,i.q=await ci(t,o);const n=await t.readULE32();return i.n8r=n,i.r=await ci(t,n),i.curve=await pi(i.q),i.nVars=await t.readULE32(),i.nPublic=await t.readULE32(),i.domainSize=await t.readULE32(),i.power=co(i.domainSize),i.vk_alpha_1=await Io(t,i.curve,a),i.vk_beta_1=await Io(t,i.curve,a),i.vk_beta_2=await Co(t,i.curve,a),i.vk_gamma_2=await Co(t,i.curve,a),i.vk_delta_1=await Io(t,i.curve,a),i.vk_delta_2=await Co(t,i.curve,a),await si(t),i}(t,e,a);if(2==i)return await async function(t,e,a){const i={protocol:"plonk"};await ri(t,e,2);const o=await t.readULE32();i.n8q=o,i.q=await ci(t,o);const n=await t.readULE32();return i.n8r=n,i.r=await ci(t,n),i.curve=await pi(i.q),i.nVars=await t.readULE32(),i.nPublic=await t.readULE32(),i.domainSize=await t.readULE32(),i.power=co(i.domainSize),i.nAdditions=await t.readULE32(),i.nConstrains=await t.readULE32(),i.k1=await t.read(n),i.k2=await t.read(n),i.Qm=await Io(t,i.curve,a),i.Ql=await Io(t,i.curve,a),i.Qr=await Io(t,i.curve,a),i.Qo=await Io(t,i.curve,a),i.Qc=await Io(t,i.curve,a),i.S1=await Io(t,i.curve,a),i.S2=await Io(t,i.curve,a),i.S3=await Io(t,i.curve,a),i.X_2=await Co(t,i.curve,a),await si(t),i}(t,e,a);throw new Error("Protocol not supported: ")}async function Fo(t,e,a){const i={delta:{}};i.deltaAfter=await Io(t,e,a),i.delta.g1_s=await Io(t,e,a),i.delta.g1_sx=await Io(t,e,a),i.delta.g2_spx=await Co(t,e,a),i.transcript=await t.read(64),i.type=await t.readULE32();const o=await t.readULE32(),n=t.pos;let r=0;for(;t.pos-n0){const e=new Uint8Array(i);await t.writeULE32(e.byteLength),await t.write(e)}else await t.writeULE32(0)}async function Bo(t,e,a){await oi(t,10),await t.write(a.csHash),await t.writeULE32(a.contributions.length);for(let i=0;ithis._memory.length&&this._realloc(Xi+t.length),this._memory.set(t,Xi),Yi.blake2b_update(this.pointer,Xi,Xi+t.length),this},so.prototype.digest=function(t){if(Zi(!1===this.finalized,"Hash instance finalized"),this.finalized=!0,to.push(this.pointer),Yi.blake2b_final(this.pointer),!t||"binary"===t)return this._memory.slice(this.pointer+128,this.pointer+128+this.digestLength);if("string"==typeof t)return Ji.toString(this._memory,t,this.pointer+128,this.pointer+128+this.digestLength);Zi(t instanceof Uint8Array&&t.length>=this.digestLength,"input must be Uint8Array or Buffer");for(var e=0;et()),t):t(new Error("WebAssembly not supported"))},so.prototype.ready=so.ready,so.prototype.getPartialHash=function(){return this._memory.slice(this.pointer,this.pointer+216)},so.prototype.setPartialHash=function(t){this._memory.set(t,this.pointer)};const{stringifyBigInts:Oo}=Ta;async function Uo(t,e,a){const{fd:i,sections:o}=await ai(e,"wtns",2),n=await Po(i,o),{fd:r,sections:s}=await ai(t,"zkey",2),l=await xo(r,s);if("groth16"!=l.protocol)throw new Error("zkey file is not groth16");if(!Ma.eq(l.r,n.q))throw new Error("Curve of the witness does not match the curve of the proving key");if(n.nWitness!=l.nVars)throw new Error(`Invalid witness length. Circuit: ${l.nVars}, witness: ${n.nWitness}`);const c=l.curve,d=c.Fr,u=c.G1,g=c.G2,f=co(l.domainSize);a&&a.debug("Reading Wtns");const _=await ui(i,o,2);a&&a.debug("Reading Coeffs");const p=await ui(r,s,4);a&&a.debug("Building ABC");const[h,m,L]=await async function(t,e,a,i,o){const n=t.Fr.n8,r=12+e.n8r,s=(i.byteLength-4)/r,l=new aa(e.domainSize*n),c=new aa(e.domainSize*n),d=new aa(e.domainSize*n),u=[l,c];for(let e=0;e0;)a.unshift(0),n--;return a}async function Mo(t,e){e=e||{};let a,i=32767,o=!1;for(;!o;)try{a=new WebAssembly.Memory({initial:i}),o=!0}catch(t){if(1===i)throw t;console.warn("Could not allocate "+1024*i*64+" bytes. This may cause severe instability. Trying with "+1024*i*64/2+" bytes"),i=Math.floor(i/2)}const n=await WebAssembly.compile(t);let r,s="",l="",c=1,d=0,u=0;const g=await WebAssembly.instantiate(n,{env:{memory:a},runtime:{exceptionHandler:function(t){let e;throw e=1==t?"Signal not found. ":2==t?"Too many signals set. ":3==t?"Signal already set. ":4==t?"Assert Failed. ":5==t?"Not enough memory. ":6==t?"Input signal array access exceeds the size. ":"Unknown error. ",console.error("ERROR: ",t,s),new Error(e+s)},printErrorMessage:function(){s+=_()+"\n"},writeBufferMessage:function(){const t=_();"\n"===t?(console.log(l),l=""):(""!==l&&(l+=" "),l+=t)},showSharedRWMemory:function(){const t=g.exports.getFieldNumLen32(),e=new Uint32Array(t);for(let a=0;a=2&&(d>=1||u>=7)){""!==l&&(l+=" ");const t=Ma.fromArray(e,4294967296).toString();l+=t}else console.log(Ma.fromArray(e,4294967296))},error:function(t,a,i,o,n,s){let l;throw l=7==t?p(a)+" "+r.getFr(o).toString()+" != "+r.getFr(n).toString()+" "+p(s):9==t?p(a)+" "+r.getFr(o).toString()+" "+p(n):5==t&&e.sym?p(a)+" "+e.sym.labelIdx2Name[n]:p(a)+" "+i+" "+o+" "+n+" "+s,console.log("ERROR: ",t,l),new Error(l)},log:function(t){console.log(r.getFr(t).toString())},logGetSignal:function(t,a){e.logGetSignal&&e.logGetSignal(t,r.getFr(a))},logSetSignal:function(t,a){e.logSetSignal&&e.logSetSignal(t,r.getFr(a))},logStartComponent:function(t){e.logStartComponent&&e.logStartComponent(t)},logFinishComponent:function(t){e.logFinishComponent&&e.logFinishComponent(t)}}});"function"==typeof g.exports.getVersion&&(c=g.exports.getVersion()),"function"==typeof g.exports.getMinorVersion&&(d=g.exports.getMinorVersion()),"function"==typeof g.exports.getPatchVersion&&(u=g.exports.getPatchVersion());const f=e&&(e.sanityCheck||e.logGetSignal||e.logSetSignal||e.logStartComponent||e.logFinishComponent);return r=2===c?new ko(g,f):new To(a,g,f),r;function _(){for(var t="",e=g.exports.getMessageChar();0!=e;)t+=String.fromCharCode(e),e=g.exports.getMessageChar();return t}function p(t){const e=new Uint8Array(a.buffer),i=[];for(let a=0;e[t+a]>0;a++)i.push(e[t+a]);return String.fromCharCode.apply(null,i)}}class To{constructor(t,e,a){this.memory=t,this.i32=new Uint32Array(t.buffer),this.instance=e,this.n32=(this.instance.exports.getFrLen()>>2)-2;const i=this.instance.exports.getPRawPrime(),o=new Array(this.n32);for(let t=0;t>2)+t];this.prime=Ma.fromArray(o,4294967296),this.Fr=new Bt(this.prime),this.mask32=Ma.fromString("FFFFFFFF",16),this.NVars=this.instance.exports.getNVars(),this.n64=Math.floor((this.Fr.bitLength-1)/64)+1,this.R=this.Fr.e(Ma.shiftLeft(1,64*this.n64)),this.RInv=this.Fr.inv(this.R),this.sanityCheck=a}circom_version(){return 1}async _doCalculateWitness(t,e){this.instance.exports.init(this.sanityCheck||e?1:0);const a=this.allocInt(),i=this.allocFr();Object.keys(t).forEach((e=>{const o=qo(e),n=parseInt(o.slice(0,8),16),r=parseInt(o.slice(8,16),16);try{this.instance.exports.getSignalOffset32(a,0,n,r)}catch(t){throw new Error(`Signal ${e} is not an input of the circuit.`)}const s=this.getInt(a),l=zo(t[e]);for(let t=0;t>2]}setInt(t,e){this.i32[t>>2]=e}getFr(t){const e=this,a=t>>2;if(2147483648&e.i32[a+1]){const t=new Array(e.n32);for(let i=0;i>2]=o,void(a.i32[1+(t>>2)]=0)}a.i32[t>>2]=0,a.i32[1+(t>>2)]=2147483648;const n=Ma.toArray(e,4294967296);for(let e=0;e>2)+e]=i>=0?n[i]:0}}}class ko{constructor(t,e){this.instance=t,this.version=this.instance.exports.getVersion(),this.n32=this.instance.exports.getFieldNumLen32(),this.instance.exports.getRawPrime();const a=new Array(this.n32);for(let t=0;t{const a=qo(e),o=parseInt(a.slice(0,8),16),n=parseInt(a.slice(8,16),16),r=zo(t[e]);for(let t=0;t1)throw new Error(t.fileName+": File has more than one header");t.pos=e[1][0].p;const a=await t.readULE32(),i=await t.read(a),o=Ma.fromRprLE(i),n=await pi(o);if(8*n.F1.n64!=a)throw new Error(t.fileName+": Invalid size");const r=await t.readULE32(),s=await t.readULE32();if(t.pos-e[1][0].p!=e[1][0].size)throw new Error("Invalid PTau header size");return{curve:n,power:r,ceremonyPower:s}}function tn(t,e,a,i){const o={tau:{},alpha:{},beta:{}};return o.tau.g1_s=n(),o.tau.g1_sx=n(),o.alpha.g1_s=n(),o.alpha.g1_sx=n(),o.beta.g1_s=n(),o.beta.g1_sx=n(),o.tau.g2_spx=r(),o.alpha.g2_spx=r(),o.beta.g2_spx=r(),o;function n(){let o;return o=i?a.G1.fromRprLEM(t,e):a.G1.fromRprUncompressed(t,e),e+=2*a.G1.F.n8,o}function r(){let o;return o=i?a.G2.fromRprLEM(t,e):a.G2.fromRprUncompressed(t,e),e+=2*a.G2.F.n8,o}}function en(t,e,a,i,o){async function n(i){o?a.G1.toRprLEM(t,e,i):a.G1.toRprUncompressed(t,e,i),e+=2*a.F1.n8}async function r(i){o?a.G2.toRprLEM(t,e,i):a.G2.toRprUncompressed(t,e,i),e+=2*a.F2.n8}return n(i.tau.g1_s),n(i.tau.g1_sx),n(i.alpha.g1_s),n(i.alpha.g1_sx),n(i.beta.g1_s),n(i.beta.g1_sx),r(i.tau.g2_spx),r(i.alpha.g2_spx),r(i.beta.g2_spx),t}async function an(t,e){const a={};a.tauG1=await l(),a.tauG2=await c(),a.alphaG1=await l(),a.betaG1=await l(),a.betaG2=await c(),a.key=await async function(t,e,a){return tn(await t.read(2*e.F1.n8*6+2*e.F2.n8*3),0,e,a)}(t,e,!0),a.partialHash=await t.read(216),a.nextChallenge=await t.read(64),a.type=await t.readULE32();const i=new Uint8Array(2*e.G1.F.n8*6+2*e.G2.F.n8*3);en(i,0,e,a.key,!1);const o=mi.exports(64);o.setPartialHash(a.partialHash),o.update(i),a.responseHash=o.digest();const n=await t.readULE32(),r=t.pos;let s=0;for(;t.pos-r1)throw new Error(t.fileName+": File has more than one contributions section");t.pos=a[7][0].p;const i=await t.readULE32(),o=[];for(let a=0;a0){const e=new Uint8Array(n);await t.writeULE32(e.byteLength),await t.write(e)}else await t.writeULE32(0);async function r(a){e.G1.toRprLEM(i,0,a),await t.write(i)}async function s(a){e.G2.toRprLEM(o,0,a),await t.write(o)}}async function rn(t,e,a){await t.writeULE32(7);const i=t.pos;await t.writeULE64(0),await t.writeULE32(a.length);for(let i=0;i0?u[u.length-1].nextChallenge:sn(c,d,n);const w=await ii(a,"ptau",1,o?7:2);await Wo(w,c,d);const b=await m.read(64);if(go(r,L)&&(L=b,u[u.length-1].nextChallenge=L),!go(b,L))throw new Error("Wrong contribution. this contribution is not based on the previus hash");const y=new mi.exports(64);y.update(b);const A=[];let I;I=await F(m,w,"G1",2,2**d*2-1,[1],"tauG1"),g.tauG1=I[0],I=await F(m,w,"G2",3,2**d,[1],"tauG2"),g.tauG2=I[0],I=await F(m,w,"G1",4,2**d,[0],"alphaG1"),g.alphaG1=I[0],I=await F(m,w,"G1",5,2**d,[0],"betaG1"),g.betaG1=I[0],I=await F(m,w,"G2",6,1,[0],"betaG2"),g.betaG2=I[0],g.partialHash=y.getPartialHash();const C=await m.read(2*c.F1.n8*6+2*c.F2.n8*3);g.key=tn(C,0,c,!1),y.update(new Uint8Array(C));const x=y.digest();if(n&&n.info(uo(x,"Contribution Response Hash imported: ")),o){const t=new mi.exports(64);t.update(x),await v(t,w,"G1",2,2**d*2-1,"tauG1",n),await v(t,w,"G2",3,2**d,"tauG2",n),await v(t,w,"G1",4,2**d,"alphaTauG1",n),await v(t,w,"G1",5,2**d,"betaTauG1",n),await v(t,w,"G2",6,1,"betaG2",n),g.nextChallenge=t.digest(),n&&n.info(uo(g.nextChallenge,"Next Challenge Hash: "))}else g.nextChallenge=r;return u.push(g),await rn(w,c,u),await m.close(),await w.close(),await s.close(),g.nextChallenge;async function F(t,e,a,i,r,s,l){return o?await async function(t,e,a,i,o,r,s){const l=c[a],d=l.F.n8,u=2*l.F.n8,g=[];await oi(e,i);const f=Math.floor((1<<24)/u);A[i]=e.pos;for(let a=0;a=a&&e=e&&o1?l[l.length-2]:c;const u=l[l.length-1];if(e&&e.debug("Validating contribution #"+l[l.length-1].id),!await dn(n,u,d,e))return!1;const g=mi.exports(64);g.update(u.responseHash),e&&e.debug("Verifying powers in tau*G1 section");const f=await b(2,"G1","tauG1",2**r*2-1,[0,1],e);if(a=await cn(n,f.R1,f.R2,n.G2.g,u.tauG2),!0!==a)return e&&e.error("tauG1 section. Powers do not match"),!1;if(!n.G1.eq(n.G1.g,f.singularPoints[0]))return e&&e.error("First element of tau*G1 section must be the generator"),!1;if(!n.G1.eq(u.tauG1,f.singularPoints[1]))return e&&e.error("Second element of tau*G1 section does not match the one in the contribution section"),!1;e&&e.debug("Verifying powers in tau*G2 section");const _=await b(3,"G2","tauG2",2**r,[0,1],e);if(a=await cn(n,n.G1.g,u.tauG1,_.R1,_.R2),!0!==a)return e&&e.error("tauG2 section. Powers do not match"),!1;if(!n.G2.eq(n.G2.g,_.singularPoints[0]))return e&&e.error("First element of tau*G2 section must be the generator"),!1;if(!n.G2.eq(u.tauG2,_.singularPoints[1]))return e&&e.error("Second element of tau*G2 section does not match the one in the contribution section"),!1;e&&e.debug("Verifying powers in alpha*tau*G1 section");const p=await b(4,"G1","alphatauG1",2**r,[0],e);if(a=await cn(n,p.R1,p.R2,n.G2.g,u.tauG2),!0!==a)return e&&e.error("alphaTauG1 section. Powers do not match"),!1;if(!n.G1.eq(u.alphaG1,p.singularPoints[0]))return e&&e.error("First element of alpha*tau*G1 section (alpha*G1) does not match the one in the contribution section"),!1;e&&e.debug("Verifying powers in beta*tau*G1 section");const h=await b(5,"G1","betatauG1",2**r,[0],e);if(a=await cn(n,h.R1,h.R2,n.G2.g,u.tauG2),!0!==a)return e&&e.error("betaTauG1 section. Powers do not match"),!1;if(!n.G1.eq(u.betaG1,h.singularPoints[0]))return e&&e.error("First element of beta*tau*G1 section (beta*G1) does not match the one in the contribution section"),!1;const m=await async function(t){const e=n.G2,a=2*e.F.n8,r=new Uint8Array(a);if(!o[6])throw t.error("File has no BetaG2 section"),new Error("File has no BetaG2 section");if(o[6].length>1)throw t.error("File has no BetaG2 section"),new Error("File has more than one GetaG2 section");i.pos=o[6][0].p;const s=await i.read(a),l=e.fromRprLEM(s);return e.toRprUncompressed(r,0,l),g.update(r),l}(e);if(!n.G2.eq(u.betaG2,m))return e&&e.error("betaG2 element in betaG2 section does not match the one in the contribution section"),!1;const L=g.digest();if(r==s&&!go(L,u.nextChallenge))return e&&e.error("Hash of the values does not match the next challenge of the last contributor in the contributions section"),!1;e&&e.info(uo(L,"Next challenge hash: ")),w(u,d);for(let t=l.length-2;t>=0;t--){const a=l[t],i=t>0?l[t-1]:c;if(!await dn(n,a,i,e))return!1;w(a,i)}if(e&&e.info("-----------------------------------------------------"),o[12]&&o[13]&&o[14]&&o[15]){let t;if(t=await y("G1",2,12,"tauG1",e),!t)return!1;if(t=await y("G2",3,13,"tauG2",e),!t)return!1;if(t=await y("G1",4,14,"alphaTauG1",e),!t)return!1;if(t=await y("G1",5,15,"betaTauG1",e),!t)return!1}else e&&e.warn('this file does not contain phase2 precalculated values. Please run: \n snarkjs "powersoftau preparephase2" to prepare this file to be used in the phase2 ceremony.');return await i.close(),e&&e.info("Powers of Tau Ok!"),!0;function w(t,a){if(!e)return;e.info("-----------------------------------------------------"),e.info(`Contribution #${t.id}: ${t.name||""}`),e.info(uo(t.nextChallenge,"Next Challenge: "));const i=new Uint8Array(2*n.G1.F.n8*6+2*n.G2.F.n8*3);en(i,0,n,t.key,!1);const o=mi.exports(64);o.setPartialHash(t.partialHash),o.update(i);const r=o.digest();e.info(uo(r,"Response Hash:")),e.info(uo(a.nextChallenge,"Response Hash:")),1==t.type&&(e.info(`Beacon generator: ${Lo(t.beaconHash)}`),e.info(`Beacon iterations Exp: ${t.numIterationsExp}`))}async function b(t,e,a,r,s,l){const c=n[e],d=2*c.F.n8;await ri(i,o,t);const u=[];let f=c.zero,_=c.zero,p=c.zero;for(let t=0;t0){const t=c.fromRprLEM(o,0),e=mt.randomBytes(4).readUInt32BE(0,!0);f=c.add(f,c.timesScalar(p,e)),_=c.add(_,c.timesScalar(t,e))}const m=await c.multiExpAffine(o.slice(0,(e-1)*d),h),L=await c.multiExpAffine(o.slice(d),h);f=c.add(f,m),_=c.add(_,L),p=c.fromRprLEM(o,(e-1)*d);for(let a=0;a=t&&i1;)c/=2,d+=1;if(2**d!=l)throw new Error("Invalid file size");o&&o.debug("Power to tau size: "+d);const u=await po(i),g=await ti(a),f=mi.exports(64);for(let t=0;t{o.debug(e+".g1_s: "+t.G1.toString(h[e].g1_s,16)),o.debug(e+".g1_sx: "+t.G1.toString(h[e].g1_sx,16)),o.debug(e+".g2_sp: "+t.G2.toString(h[e].g2_sp,16)),o.debug(e+".g2_spx: "+t.G2.toString(h[e].g2_spx,16)),o.debug("")}));const m=mi.exports(64);await g.write(p),m.update(p),await gn(n,g,m,t,"G1",2**d*2-1,t.Fr.one,h.tau.prvKey,"COMPRESSED","tauG1",o),await gn(n,g,m,t,"G2",2**d,t.Fr.one,h.tau.prvKey,"COMPRESSED","tauG2",o),await gn(n,g,m,t,"G1",2**d,h.alpha.prvKey,h.tau.prvKey,"COMPRESSED","alphaTauG1",o),await gn(n,g,m,t,"G1",2**d,h.beta.prvKey,h.tau.prvKey,"COMPRESSED","betaTauG1",o),await gn(n,g,m,t,"G2",1,h.beta.prvKey,h.tau.prvKey,"COMPRESSED","betaTauG2",o);const L=new Uint8Array(2*t.F1.n8*6+2*t.F2.n8*3);en(L,0,t,h,!1),await g.write(L),m.update(L);const w=m.digest();o&&o.info(uo(w,"Contribution Response Hash: ")),await g.close(),await n.close()},beacon:async function(t,e,a,i,o,n){const r=mo(i);if(0==r.byteLength||2*r.byteLength!=i.length)return n&&n.error("Invalid Beacon Hash. (It must be a valid hexadecimal sequence)"),!1;if(r.length>=256)return n&&n.error("Maximum lenght of beacon hash is 255 bytes"),!1;if((o=parseInt(o))<10||o>63)return n&&n.error("Invalid numIterationsExp. (Must be between 10 and 63)"),!1;await mi.exports.ready();const{fd:s,sections:l}=await ai(t,"ptau",1),{curve:c,power:d,ceremonyPower:u}=await Xo(s,l);if(d!=u)return n&&n.error("This file has been reduced. You cannot contribute into a reduced file."),!1;l[12]&&n&&n.warn("Contributing into a file that has phase2 calculated. You will have to prepare phase2 again.");const g=await on(s,c,l),f={name:a,type:1,numIterationsExp:o,beaconHash:r};let _;_=g.length>0?g[g.length-1].nextChallenge:sn(c,d,n),f.key=ln(c,_,r,o);const p=new mi.exports(64);p.update(_);const h=await ii(e,"ptau",1,7);await Wo(h,c,d);const m=[];let L;L=await A(2,"G1",2**d*2-1,c.Fr.e(1),f.key.tau.prvKey,"tauG1",n),f.tauG1=L[1],L=await A(3,"G2",2**d,c.Fr.e(1),f.key.tau.prvKey,"tauG2",n),f.tauG2=L[1],L=await A(4,"G1",2**d,f.key.alpha.prvKey,f.key.tau.prvKey,"alphaTauG1",n),f.alphaG1=L[0],L=await A(5,"G1",2**d,f.key.beta.prvKey,f.key.tau.prvKey,"betaTauG1",n),f.betaG1=L[0],L=await A(6,"G2",1,f.key.beta.prvKey,f.key.tau.prvKey,"betaTauG2",n),f.betaG2=L[0],f.partialHash=p.getPartialHash();const w=new Uint8Array(2*c.F1.n8*6+2*c.F2.n8*3);en(w,0,c,f.key,!1),p.update(new Uint8Array(w));const b=p.digest();n&&n.info(uo(b,"Contribution Response Hash imported: "));const y=new mi.exports(64);return y.update(b),await I(h,"G1",2,2**d*2-1,"tauG1",n),await I(h,"G2",3,2**d,"tauG2",n),await I(h,"G1",4,2**d,"alphaTauG1",n),await I(h,"G1",5,2**d,"betaTauG1",n),await I(h,"G2",6,1,"betaG2",n),f.nextChallenge=y.digest(),n&&n.info(uo(f.nextChallenge,"Next Challenge Hash: ")),g.push(f),await rn(h,c,g),await s.close(),await h.close(),b;async function A(t,e,a,i,o,n,r){const d=[];s.pos=l[t][0].p,await oi(h,t),m[t]=h.pos;const u=c[e],g=2*u.F.n8,f=Math.floor((1<<20)/g);let _=i;for(let t=0;t0?d[d.length-1].nextChallenge:sn(s,l,o),u.key=Yo(s,g,f);const _=new mi.exports(64);_.update(g);const p=await ii(e,"ptau",1,7);await Wo(p,s,l);const h=[];let m;m=await y(2,"G1",2**l*2-1,s.Fr.e(1),u.key.tau.prvKey,"tauG1"),u.tauG1=m[1],m=await y(3,"G2",2**l,s.Fr.e(1),u.key.tau.prvKey,"tauG2"),u.tauG2=m[1],m=await y(4,"G1",2**l,u.key.alpha.prvKey,u.key.tau.prvKey,"alphaTauG1"),u.alphaG1=m[0],m=await y(5,"G1",2**l,u.key.beta.prvKey,u.key.tau.prvKey,"betaTauG1"),u.betaG1=m[0],m=await y(6,"G2",1,u.key.beta.prvKey,u.key.tau.prvKey,"betaTauG2"),u.betaG2=m[0],u.partialHash=_.getPartialHash();const L=new Uint8Array(2*s.F1.n8*6+2*s.F2.n8*3);en(L,0,s,u.key,!1),_.update(new Uint8Array(L));const w=_.digest();o&&o.info(uo(w,"Contribution Response Hash imported: "));const b=new mi.exports(64);return b.update(w),await A(p,"G1",2,2**l*2-1,"tauG1"),await A(p,"G2",3,2**l,"tauG2"),await A(p,"G1",4,2**l,"alphaTauG1"),await A(p,"G1",5,2**l,"betaTauG1"),await A(p,"G2",6,1,"betaG2"),u.nextChallenge=b.digest(),o&&o.info(uo(u.nextChallenge,"Next Challenge Hash: ")),d.push(u),await rn(p,s,d),await n.close(),await p.close(),w;async function y(t,e,a,i,l,c){const d=[];n.pos=r[t][0].p,await oi(p,t),h[t]=p.pos;const u=s[e],g=2*u.F.n8,f=Math.floor((1<<20)/g);let m=i;for(let t=0;t=this.length&&(this.length=t+1),!0}getKeys(){const t=new mn;for(let e=0;e1<<20?new mn:[];for(let t=0;t1<<20?new mn:[];for(let t=0;t1<<20?new mn:[];for(let t=0;t{let i="";return Object.keys(a).forEach((o=>{let n=e.varIdx2Name[o];"one"==n&&(n="");let r=t.curve.Fr.toString(a[o]);"1"==r&&(r=""),"-1"==r&&(r="-"),""!=i&&"-"!=r[0]&&(r="+"+r),""!=i&&(r=" "+r),i=i+r+n})),i},n=`[ ${o(i[0])} ] * [ ${o(i[1])} ] - [ ${o(i[2])} ] = 0`;a&&a.info(n)}},info:async function(t,e){const a=await bn(t);return Ma.eq(a.prime,An)?e&&e.info("Curve: bn-128"):Ma.eq(a.prime,yn)?e&&e.info("Curve: bls12-381"):e&&e.info(`Unknown Curve. Prime: ${Ma.toString(a.prime)}`),e&&e.info(`# of Wires: ${a.nVars}`),e&&e.info(`# of Constraints: ${a.nConstraints}`),e&&e.info(`# of Private Inputs: ${a.nPrvInputs}`),e&&e.info(`# of Public Inputs: ${a.nPubInputs}`),e&&e.info(`# of Labels: ${a.nLabels}`),e&&e.info(`# of Outputs: ${a.nOutputs}`),a},exportJson:async function(t,e){const a=await bn(t,!0,!0,!0,e),i=a.curve.Fr;return delete a.curve,delete a.F,wo(i,a)}});async function Cn(t){const e={labelIdx2Name:["one"],varIdx2Name:["one"],componentIdx2Name:[]},a=await ei(t),i=await a.read(a.totalSize),o=new TextDecoder("utf-8").decode(i).split("\n");for(let t=0;t=this.length&&(this.length=t+1),!0}getKeys(){const t=new Sn;for(let e=0;el)return i&&i.error(`circuit too big for this power of tau ceremony. ${u.nConstraints}*2 > 2**${l}`),-1;if(!r[12])return i&&i.error("Powers of tau is not prepared."),-1;const h=u.nOutputs+u.nPubInputs,m=2**p;await oi(g,1),await g.writeULE32(1),await ni(g),await oi(g,2);const L=s.q,w=8*(Math.floor((Ma.bitLength(L)-1)/64)+1),b=s.r,y=8*(Math.floor((Ma.bitLength(b)-1)/64)+1),A=Ma.mod(Ma.shl(1,8*y),b),I=s.Fr.e(Ma.mod(Ma.mul(A,A),b));let C,x,F;await g.writeULE32(w),await li(g,L,w),await g.writeULE32(y),await li(g,b,y),await g.writeULE32(u.nVars),await g.writeULE32(h),await g.writeULE32(m),C=await n.read(f,r[4][0].p),await g.write(C),C=await s.G1.batchLEMtoU(C),o.update(C),x=await n.read(f,r[5][0].p),await g.write(x),x=await s.G1.batchLEMtoU(x),o.update(x),F=await n.read(_,r[6][0].p),await g.write(F),F=await s.G2.batchLEMtoU(F),o.update(F);const v=new Uint8Array(f);s.G1.toRprLEM(v,0,s.G1.g);const E=new Uint8Array(_);s.G2.toRprLEM(E,0,s.G2.g);const B=new Uint8Array(f);s.G1.toRprUncompressed(B,0,s.G1.g);const S=new Uint8Array(_);s.G2.toRprUncompressed(S,0,s.G2.g),await g.write(E),await g.write(v),await g.write(E),o.update(S),o.update(B),o.update(S),await ni(g),i&&i.info("Reading r1cs");let G=await ui(c,d,2);const P=new Sn(u.nVars),O=new Sn(u.nVars),U=new Sn(u.nVars),z=new Sn(u.nVars-h-1),q=new Array(h+1);i&&i.info("Reading tauG1");let Q=await ui(n,r,12,(m-1)*f,m*f);i&&i.info("Reading tauG2");let M=await ui(n,r,13,(m-1)*_,m*_);i&&i.info("Reading alphatauG1");let T=await ui(n,r,14,(m-1)*f,m*f);i&&i.info("Reading betatauG1");let k=await ui(n,r,15,(m-1)*f,m*f);await async function(){const t=new Uint8Array(12+s.Fr.n8),e=new DataView(t.buffer),a=new Uint8Array(s.Fr.n8);s.Fr.toRprLE(a,0,s.Fr.e(1));let o=0;function n(){const t=G.slice(o,o+4);o+=4;return new DataView(t.buffer).getUint32(0,!0)}const r=new Sn;for(let t=0;t=0?s.Fr.fromRprLE(G.slice(i[3],i[3]+s.Fr.n8),0):s.Fr.fromRprLE(a,0);const n=s.Fr.mul(o,I);s.Fr.toRprLE(t,12,n),l.set(t,d),d+=t.length}await g.write(l),await ni(g)}(),await N(3,"G1",q,"IC"),await async function(){await oi(g,9);const t=new aa(m*f);if(p(i&&i.debug(`Writing points end ${n}: ${d}/${a.length}`),t)))),c+=o,t++}const d=await Promise.all(l);for(let t=0;t32768?(f=new aa(p*n),_=new aa(p*s.Fr.n8)):(f=new Uint8Array(p*n),_=new Uint8Array(p*s.Fr.n8));let h=0,m=0;const L=[Q,M,T,k],w=new Uint8Array(s.Fr.n8);s.Fr.toRprLE(w,0,s.Fr.e(1));let b=0;for(let t=0;t=0?_.set(G.slice(e[t][o][2],e[t][o][2]+s.Fr.n8),b*s.Fr.n8):_.set(w,b*s.Fr.n8),b++;if(e.length>1){const t=[];t.push({cmd:"ALLOCSET",var:0,buff:f}),t.push({cmd:"ALLOCSET",var:1,buff:_}),t.push({cmd:"ALLOC",var:2,len:e.length*r}),h=0,m=0;let a=0;for(let i=0;i=0;t--){const e=d.contributions[t];i&&i.info("-------------------------"),i&&i.info(uo(e.contributionHash,`contribution #${t+1} ${e.name?e.name:""}:`)),1==e.type&&(i&&i.info(`Beacon generator: ${Lo(e.beaconHash)}`),i&&i.info(`Beacon iterations Exp: ${e.numIterationsExp}`))}return i&&i.info("-------------------------"),i&&i.info("ZKey Ok!"),!0;async function L(t,e){const a=2*l.G1.F.n8,i=t.byteLength/a,o=l.tm.concurrency,n=Math.floor(i/o),r=[];for(let a=0;ag.contributions.length)return o&&o.error("The impoerted file does not include new contributions"),!1;for(let t=0;t=256)return n&&n.error("Maximum lenght of beacon hash is 255 bytes"),!1;if((o=parseInt(o))<10||o>63)return n&&n.error("Invalid numIterationsExp. (Must be between 10 and 63)"),!1;const{fd:s,sections:l}=await ai(t,"zkey",2),c=await xo(s,l);if("groth16"!=c.protocol)throw new Error("zkey file is not groth16");const d=await pi(c.q),u=await vo(s,d,l),g=await ii(e,"zkey",1,10),f=await ho(r,o),_=mi.exports(64);_.update(u.csHash);for(let t=0;t>5,this.byteCount=this.blockCount<<2,this.outputBlocks=a>>5,this.extraBytes=(31&a)>>3;for(var i=0;i<50;++i)this.s[i]=0}function G(t,e,a){S.call(this,t,e,a)}S.prototype.update=function(e){if(this.finalized)throw new Error("finalize already called");var a,i=typeof e;if("string"!==i){if("object"!==i)throw new Error(t);if(null===e)throw new Error(t);if(n&&e.constructor===ArrayBuffer)e=new Uint8Array(e);else if(!(Array.isArray(e)||n&&ArrayBuffer.isView(e)))throw new Error(t);a=!0}for(var o,r,s=this.blocks,c=this.byteCount,d=e.length,u=this.blockCount,g=0,f=this.s;g>2]|=e[g]<>2]|=r<>2]|=(192|r>>6)<>2]|=(128|63&r)<=57344?(s[o>>2]|=(224|r>>12)<>2]|=(128|r>>6&63)<>2]|=(128|63&r)<>2]|=(240|r>>18)<>2]|=(128|r>>12&63)<>2]|=(128|r>>6&63)<>2]|=(128|63&r)<=c){for(this.start=o-c,this.block=s[u],o=0;o>=8);a>0;)o.unshift(a),a=255&(t>>=8),++i;return e?o.push(i):o.unshift(i),this.update(o),o.length},S.prototype.encodeString=function(e){var a,i=typeof e;if("string"!==i){if("object"!==i)throw new Error(t);if(null===e)throw new Error(t);if(n&&e.constructor===ArrayBuffer)e=new Uint8Array(e);else if(!(Array.isArray(e)||n&&ArrayBuffer.isView(e)))throw new Error(t);a=!0}var o=0,r=e.length;if(a)o=r;else for(var s=0;s=57344?o+=3:(l=65536+((1023&l)<<10|1023&e.charCodeAt(++s)),o+=4)}return o+=this.encode(8*o),this.update(e),o},S.prototype.bytepad=function(t,e){for(var a=this.encode(e),i=0;i>2]|=this.padding[3&e],this.lastByteIndex===this.byteCount)for(t[0]=t[a],e=1;e>4&15]+r[15&t]+r[t>>12&15]+r[t>>8&15]+r[t>>20&15]+r[t>>16&15]+r[t>>28&15]+r[t>>24&15];s%e==0&&(P(a),n=0)}return o&&(t=a[n],l+=r[t>>4&15]+r[15&t],o>1&&(l+=r[t>>12&15]+r[t>>8&15]),o>2&&(l+=r[t>>20&15]+r[t>>16&15])),l},S.prototype.arrayBuffer=function(){this.finalize();var t,e=this.blockCount,a=this.s,i=this.outputBlocks,o=this.extraBytes,n=0,r=0,s=this.outputBits>>3;t=o?new ArrayBuffer(i+1<<2):new ArrayBuffer(s);for(var l=new Uint32Array(t);r>8&255,l[t+2]=e>>16&255,l[t+3]=e>>24&255;s%a==0&&P(i)}return n&&(t=s<<2,e=i[r],l[t]=255&e,n>1&&(l[t+1]=e>>8&255),n>2&&(l[t+2]=e>>16&255)),l},G.prototype=new S,G.prototype.finalize=function(){return this.encode(this.outputBits,!0),S.prototype.finalize.call(this)};var P=function(t){var e,a,i,o,n,r,s,l,c,u,g,f,_,p,h,m,L,w,b,y,A,I,C,x,F,v,E,B,S,G,P,O,U,z,q,Q,M,T,k,R,N,D,V,j,K,H,$,Z,J,Y,W,X,tt,et,at,it,ot,nt,rt,st,lt,ct,dt;for(i=0;i<48;i+=2)o=t[0]^t[10]^t[20]^t[30]^t[40],n=t[1]^t[11]^t[21]^t[31]^t[41],r=t[2]^t[12]^t[22]^t[32]^t[42],s=t[3]^t[13]^t[23]^t[33]^t[43],l=t[4]^t[14]^t[24]^t[34]^t[44],c=t[5]^t[15]^t[25]^t[35]^t[45],u=t[6]^t[16]^t[26]^t[36]^t[46],g=t[7]^t[17]^t[27]^t[37]^t[47],e=(f=t[8]^t[18]^t[28]^t[38]^t[48])^(r<<1|s>>>31),a=(_=t[9]^t[19]^t[29]^t[39]^t[49])^(s<<1|r>>>31),t[0]^=e,t[1]^=a,t[10]^=e,t[11]^=a,t[20]^=e,t[21]^=a,t[30]^=e,t[31]^=a,t[40]^=e,t[41]^=a,e=o^(l<<1|c>>>31),a=n^(c<<1|l>>>31),t[2]^=e,t[3]^=a,t[12]^=e,t[13]^=a,t[22]^=e,t[23]^=a,t[32]^=e,t[33]^=a,t[42]^=e,t[43]^=a,e=r^(u<<1|g>>>31),a=s^(g<<1|u>>>31),t[4]^=e,t[5]^=a,t[14]^=e,t[15]^=a,t[24]^=e,t[25]^=a,t[34]^=e,t[35]^=a,t[44]^=e,t[45]^=a,e=l^(f<<1|_>>>31),a=c^(_<<1|f>>>31),t[6]^=e,t[7]^=a,t[16]^=e,t[17]^=a,t[26]^=e,t[27]^=a,t[36]^=e,t[37]^=a,t[46]^=e,t[47]^=a,e=u^(o<<1|n>>>31),a=g^(n<<1|o>>>31),t[8]^=e,t[9]^=a,t[18]^=e,t[19]^=a,t[28]^=e,t[29]^=a,t[38]^=e,t[39]^=a,t[48]^=e,t[49]^=a,p=t[0],h=t[1],H=t[11]<<4|t[10]>>>28,$=t[10]<<4|t[11]>>>28,B=t[20]<<3|t[21]>>>29,S=t[21]<<3|t[20]>>>29,st=t[31]<<9|t[30]>>>23,lt=t[30]<<9|t[31]>>>23,D=t[40]<<18|t[41]>>>14,V=t[41]<<18|t[40]>>>14,z=t[2]<<1|t[3]>>>31,q=t[3]<<1|t[2]>>>31,m=t[13]<<12|t[12]>>>20,L=t[12]<<12|t[13]>>>20,Z=t[22]<<10|t[23]>>>22,J=t[23]<<10|t[22]>>>22,G=t[33]<<13|t[32]>>>19,P=t[32]<<13|t[33]>>>19,ct=t[42]<<2|t[43]>>>30,dt=t[43]<<2|t[42]>>>30,et=t[5]<<30|t[4]>>>2,at=t[4]<<30|t[5]>>>2,Q=t[14]<<6|t[15]>>>26,M=t[15]<<6|t[14]>>>26,w=t[25]<<11|t[24]>>>21,b=t[24]<<11|t[25]>>>21,Y=t[34]<<15|t[35]>>>17,W=t[35]<<15|t[34]>>>17,O=t[45]<<29|t[44]>>>3,U=t[44]<<29|t[45]>>>3,x=t[6]<<28|t[7]>>>4,F=t[7]<<28|t[6]>>>4,it=t[17]<<23|t[16]>>>9,ot=t[16]<<23|t[17]>>>9,T=t[26]<<25|t[27]>>>7,k=t[27]<<25|t[26]>>>7,y=t[36]<<21|t[37]>>>11,A=t[37]<<21|t[36]>>>11,X=t[47]<<24|t[46]>>>8,tt=t[46]<<24|t[47]>>>8,j=t[8]<<27|t[9]>>>5,K=t[9]<<27|t[8]>>>5,v=t[18]<<20|t[19]>>>12,E=t[19]<<20|t[18]>>>12,nt=t[29]<<7|t[28]>>>25,rt=t[28]<<7|t[29]>>>25,R=t[38]<<8|t[39]>>>24,N=t[39]<<8|t[38]>>>24,I=t[48]<<14|t[49]>>>18,C=t[49]<<14|t[48]>>>18,t[0]=p^~m&w,t[1]=h^~L&b,t[10]=x^~v&B,t[11]=F^~E&S,t[20]=z^~Q&T,t[21]=q^~M&k,t[30]=j^~H&Z,t[31]=K^~$&J,t[40]=et^~it&nt,t[41]=at^~ot&rt,t[2]=m^~w&y,t[3]=L^~b&A,t[12]=v^~B&G,t[13]=E^~S&P,t[22]=Q^~T&R,t[23]=M^~k&N,t[32]=H^~Z&Y,t[33]=$^~J&W,t[42]=it^~nt&st,t[43]=ot^~rt<,t[4]=w^~y&I,t[5]=b^~A&C,t[14]=B^~G&O,t[15]=S^~P&U,t[24]=T^~R&D,t[25]=k^~N&V,t[34]=Z^~Y&X,t[35]=J^~W&tt,t[44]=nt^~st&ct,t[45]=rt^~lt&dt,t[6]=y^~I&p,t[7]=A^~C&h,t[16]=G^~O&x,t[17]=P^~U&F,t[26]=R^~D&z,t[27]=N^~V&q,t[36]=Y^~X&j,t[37]=W^~tt&K,t[46]=st^~ct&et,t[47]=lt^~dt&at,t[8]=I^~p&m,t[9]=C^~h&L,t[18]=O^~x&v,t[19]=U^~F&E,t[28]=D^~z&Q,t[29]=V^~q&M,t[38]=X^~j&H,t[39]=tt^~K&$,t[48]=ct^~et&it,t[49]=dt^~at&ot,t[0]^=d[i],t[1]^=d[i+1]};if(o)Mn.exports=A;else for(C=0;C3*l.domainSize-4&&!d.isZero(e))throw new Error("T Polynomial is not divisible")}a&&a.debug("ifft Tz");const F=await d.ifft(I);for(let t=0;t<4*l.domainSize;t++){const e=F.slice(t*g,(t+1)*g);if(t>3*l.domainSize+5){if(!d.isZero(e))throw new Error("Tz Polynomial is not well calculated")}else x.set(d.add(x.slice(t*g,(t+1)*g),e),t*g)}v=x.slice(0,(3*l.domainSize+6)*g);let E=new aa((l.domainSize+1)*g);E.set(x.slice(0,l.domainSize*g),0),E.set(z.b[10],l.domainSize*g);let G=new aa((l.domainSize+1)*g);G.set(x.slice(l.domainSize*g,2*l.domainSize*g),0);const P=d.sub(G.slice(0,g),z.b[10]);G.set(P,0),G.set(z.b[11],l.domainSize*g);let O=new aa((l.domainSize+6)*g);O.set(x.slice(2*l.domainSize*g,(3*l.domainSize+6)*g),0);const U=d.sub(O.slice(0,g),z.b[11]);function q(t,e,a,i,o){let n,r;const s=d.mul(t,e),l=d.mul(t,i),c=d.mul(a,e);n=s;let u=d.mul(a,i);return r=d.add(l,c),o&&(r=d.add(r,d.mul(_[o],u))),[n,r]}function Q(t,e,a,i,o,n,r,s,l){let c,u;const g=d.mul(t,e),f=d.mul(t,n),p=d.mul(o,e),L=d.mul(o,n),w=d.mul(a,i),b=d.mul(a,s),y=d.mul(r,i),A=d.mul(r,s);c=d.mul(g,w);let I=d.mul(p,w);I=d.add(I,d.mul(f,w)),I=d.add(I,d.mul(g,y)),I=d.add(I,d.mul(g,b));let C=d.mul(L,w);C=d.add(C,d.mul(p,y)),C=d.add(C,d.mul(p,b)),C=d.add(C,d.mul(f,y)),C=d.add(C,d.mul(f,b)),C=d.add(C,d.mul(g,A));let x=d.mul(f,A);x=d.add(x,d.mul(p,A)),x=d.add(x,d.mul(L,b)),x=d.add(x,d.mul(L,y));let F=d.mul(L,A);return u=I,l&&(u=d.add(u,d.mul(_[l],C)),u=d.add(u,d.mul(h[l],x)),u=d.add(u,d.mul(m[l],F))),[c,u]}O.set(U,0),B.T1=await N(E,"multiexp T1"),B.T2=await N(G,"multiexp T2"),B.T3=await N(O,"multiexp T3")}(),await async function(){const t=new aa(l.domainSize*g);await r.readToBuffer(t,0,l.domainSize*g,s[7][0].p);const e=new aa(l.domainSize*g);await r.readToBuffer(e,0,l.domainSize*g,s[8][0].p);const i=new aa(l.domainSize*g);await r.readToBuffer(i,0,l.domainSize*g,s[9][0].p);const o=new aa(l.domainSize*g);await r.readToBuffer(o,0,l.domainSize*g,s[10][0].p);const n=new aa(l.domainSize*g);await r.readToBuffer(n,0,l.domainSize*g,s[11][0].p);const c=new aa(l.domainSize*g);await r.readToBuffer(c,0,l.domainSize*g,s[12][0].p+10*l.domainSize*g);const f=new Uint8Array(2*u.F.n8*3);u.toRprUncompressed(f,0,B.T1),u.toRprUncompressed(f,2*u.F.n8,B.T2),u.toRprUncompressed(f,4*u.F.n8,B.T3),z.xi=T(f),a&&a.debug("xi: "+d.toString(z.xi));B.eval_a=k(I,z.xi),B.eval_b=k(C,z.xi),B.eval_c=k(x,z.xi),B.eval_s1=k(P,z.xi),B.eval_s2=k(O,z.xi),B.eval_t=k(v,z.xi),B.eval_zw=k(F,d.mul(z.xi,d.w[l.power]));const _=d.mul(B.eval_a,B.eval_b);let p=B.eval_a;const h=d.mul(z.beta,z.xi);p=d.add(p,h),p=d.add(p,z.gamma);let m=B.eval_b;m=d.add(m,d.mul(h,l.k1)),m=d.add(m,z.gamma);let L=B.eval_c;L=d.add(L,d.mul(h,l.k2)),L=d.add(L,z.gamma);const w=d.mul(d.mul(d.mul(p,m),L),z.alpha);let b=B.eval_a;b=d.add(b,d.mul(z.beta,B.eval_s1)),b=d.add(b,z.gamma);let y=B.eval_b;y=d.add(y,d.mul(z.beta,B.eval_s2)),y=d.add(y,z.gamma);let A=d.mul(b,y);A=d.mul(A,z.beta),A=d.mul(A,B.eval_zw),A=d.mul(A,z.alpha),z.xim=z.xi;for(let t=0;t=0;o--)i=d.add(d.mul(i,e),t.slice(o*g,(o+1)*g));return i}function R(t,e){const a=t.byteLength/g,i=new aa(a*g);i.set(d.zero,(a-1)*g),i.set(t.slice((a-1)*g,a*g),(a-2)*g);for(let o=a-3;o>=0;o--)i.set(d.add(t.slice((o+1)*g,(o+2)*g),d.mul(e,i.slice((o+1)*g,(o+2)*g))),o*g);if(!d.eq(t.slice(0,g),d.mul(d.neg(e),i.slice(0,g))))throw new Error("Polinomial does not divide");return i}async function N(t,e){const i=t.byteLength/g,o=U.slice(0,i*c.G1.F.n8*2),n=await c.Fr.batchFromMontgomery(t);let r=await c.G1.multiExpAffine(o,n,a,e);return r=c.G1.toAffine(r),r}async function D(t,e){e=e||[];let a=await d.ifft(t);const i=new aa(g*l.domainSize*4);i.set(a,0);const o=new aa(g*(l.domainSize+e.length));o.set(a,0);for(let t=0;ta;){const e=o.shift(),a=o.shift(),i=e[0],n=a[0],r=L++,s=t.zero,l=t.neg(e[1]),c=t.neg(a[1]),d=t.one,u=t.zero;h.push([i,n,r,s,l,c,d,u]),m.push([i,n,e[1],a[1]]),o.push([r,t.one])}for(let t=0;t0?i.toString():a!=t.zero?"k":"0"}function l(e,a,l){const c=s(e),d=s(a);if("0"===c||"0"===d)i(l),r(l);else if("k"===c){r(o(a,e[0],l))}else if("k"===d){r(o(e,a[0],l))}else!function(e,a,i){const o=n(e,1),r=n(a,1),s=n(i,1),l=o.s[0],c=r.s[0],d=s.s[0],u=t.mul(o.coefs[0],r.coefs[0]),g=t.mul(o.coefs[0],r.k),f=t.mul(o.k,r.coefs[0]),_=t.neg(s.coefs[0]),p=t.sub(t.mul(o.k,r.k),s.k);h.push([l,c,d,u,g,f,_,p])}(e,a,l)}for(let e=1;e<=w;e++){const a=e,i=0,o=0,n=t.zero,r=t.one,s=t.zero,l=t.zero,c=t.zero;h.push([a,i,o,n,r,s,l,c])}for(let t=0;ts)return i&&i.error(`circuit too big for this power of tau ceremony. ${h.length} > 2**${s}`),-1;if(!n[12])return i&&i.error("Powers of tau is not prepared."),-1;const I=new aa(A*u),C=n[12][0].p+(2**y-1)*u;await o.readToBuffer(I,0,A*u,C);const[x,F]=function(){let t=_.two;for(;a(t,[],y);)_.add(t,_.one);let e=_.add(t,_.one);for(;a(e,[t],y);)_.add(e,_.one);return[t,e];function a(t,e,a){const i=2**a;let o=_.one;for(let n=0;n

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