diff --git a/circom_circuits/proof_of_leadership/PoL_staking.circom b/circom_circuits/proof_of_leadership/PoL_staking.circom new file mode 100644 index 0000000..0eea849 --- /dev/null +++ b/circom_circuits/proof_of_leadership/PoL_staking.circom @@ -0,0 +1,199 @@ +//test +pragma circom 2.1.9; + +include "../hash_bn/poseidon2_hash.circom"; +include "../ledger/notes.circom"; +include "../misc/comparator.circom"; +include "../circomlib/circuits/bitify.circom"; +include "../misc/constants.circom"; + + +template ticket_calculator(){ + signal input epoch_nonce; + signal input slot; + signal input commitment; + signal input secret_key; + signal output out; + + component hash = Poseidon2_hash(5); + component dst = LEAD(); + hash.inp[0] <== dst.out; + hash.inp[1] <== epoch_nonce; + hash.inp[2] <== slot; + hash.inp[3] <== commitment; + hash.inp[4] <== secret_key; + + out <== hash.out; +} + +template derive_secret_key(){ + signal input starting_slot; + signal input secrets_root; + signal output out; + + component hash = Poseidon2_hash(3); + component dst = NOMOS_POL_SK(); + hash.inp[0] <== dst.out; + hash.inp[1] <== starting_slot; + hash.inp[2] <== secrets_root; + + out <== hash.out; +} + +template derive_entropy(){ + signal input slot; + signal input commitment; + signal input secret_key; + signal output out; + + component hash = Poseidon2_hash(4); + component dst = NOMOS_NONCE_CONTRIB(); + hash.inp[0] <== dst.out; + hash.inp[1] <== slot; + hash.inp[2] <== commitment; + hash.inp[3] <== secret_key; + + out <== hash.out; +} + + +template staking_proof_of_leadership(){ + signal input slot; + signal input epoch_nonce; + signal input t0; + signal input t1; + signal input slot_secret; + signal input slot_secret_path[25]; + + //Part of the commitment proof of membership to prove aged + signal input cm_aged_nodes[32]; + signal input cm_aged_selectors[32]; // must be bits + signal input commitments_aged_root; + + //Part of the commitment proof of membership to prove aged + signal input cm_unspent_nodes[32]; + signal input cm_unspent_selectors[32]; // must be bits + signal input commitments_unspent_root; + + //Part of the secret key + signal input starting_slot; + signal input secrets_root; + + // The winning note. The unit is supposed to be NMO and the ZoneID is PAYMENT + signal input state; + signal input value; + signal input nonce; + + signal input one_time_key; + + //Avoid the circom optimisation that removes unused public input + signal dummy; + dummy <== one_time_key * one_time_key; + + signal output entropy_contrib; + + + // Derive the secret key + component sk = derive_secret_key(); + sk.starting_slot <== starting_slot; + sk.secrets_root <== secrets_root; + + + // Derive the public key from the secret key + component pk = derive_public_key(); + pk.secret_key <== sk.out; + + + // Derive the commitment from the note and the public key + component cm = commitment(); + cm.state <== state; + cm.value <== value; + component nmo = NMO(); + cm.unit <== nmo.out; + cm.nonce <== nonce; + component payment = PAYMENT(); + cm.zoneID <== payment.out; + cm.public_key <== pk.out; + + + // Check commitment membership (is aged enough) + //First check selectors are indeed bits + for(var i = 0; i < 32; i++){ + cm_aged_selectors[i] * (1 - cm_aged_selectors[i]) === 0; + } + //Then check the proof of membership + component cm_aged_membership = proof_of_membership(32); + for(var i = 0; i < 32; i++){ + cm_aged_membership.nodes[i] <== cm_aged_nodes[i]; + cm_aged_membership.selector[i] <== cm_aged_selectors[i]; + } + cm_aged_membership.root <== commitments_aged_root; + cm_aged_membership.leaf <== cm.out; + + + // Compute the lottery ticket + component ticket = ticket_calculator(); + ticket.epoch_nonce <== epoch_nonce; + ticket.slot <== slot; + ticket.commitment <== cm.out; + ticket.secret_key <== sk.out; + + + // Compute the lottery threshold + signal intermediate; + signal threshold; + intermediate <== t1 * value; + threshold <== value * (t0 + intermediate); + + + // Check that the ticket is winning + component winning = FullLessThan(); + winning.a <== ticket.out; + winning.b <== threshold; + winning.out === 1; + + + // Check commitment membership (is unspent) + //First check selectors are indeed bits + for(var i = 0; i < 32; i++){ + cm_unspent_selectors[i] * (1 - cm_unspent_selectors[i]) === 0; + } + //Then check the proof of membership + component cm_unspent_membership = proof_of_membership(32); + for(var i = 0; i < 32; i++){ + cm_unspent_membership.nodes[i] <== cm_unspent_nodes[i]; + cm_unspent_membership.selector[i] <== cm_unspent_selectors[i]; + } + cm_unspent_membership.root <== commitments_unspent_root; + cm_unspent_membership.leaf <== cm.out; + + + // Check the knowledge of the secret at position slot - starting_slot + // Verify that the substraction wont underflow (starting_slot < slot) + component checker = SafeLessEqThan(252); + checker.in[0] <== starting_slot; + checker.in[1] <== slot; + checker.out === 1; + // Compute the positions related to slot - starting_slot + component bits = Num2Bits(25); + bits.in <== slot - starting_slot; + // Check the membership of the secret_slot against the secrets_root + component secret_membership = proof_of_membership(25); + for(var i =0; i<25; i++){ + secret_membership.nodes[i] <== slot_secret_path[i]; + secret_membership.selector[i] <== bits.out[24-i]; + } + secret_membership.root <== secrets_root; + secret_membership.leaf <== slot_secret; + + + // Compute the entropy contribution + component entropy = derive_entropy(); + entropy.slot <== slot; + entropy.commitment <== cm.out; + entropy.secret_key <== sk.out; + + entropy_contrib <== entropy.out; +} + +component main {public [slot,epoch_nonce,t0,t1,commitments_aged_root,commitments_unspent_root,one_time_key]}= staking_proof_of_leadership(); \ No newline at end of file diff --git a/circom_circuits/proof_of_leadership/generate_inputs_for_staking.py b/circom_circuits/proof_of_leadership/generate_inputs_for_staking.py new file mode 100755 index 0000000..be2c8de --- /dev/null +++ b/circom_circuits/proof_of_leadership/generate_inputs_for_staking.py @@ -0,0 +1,331 @@ +#!/usr/bin/sage +# -*- mode: python ; -*- + + +from sage.all import * + +p = 21888242871839275222246405745257275088548364400416034343698204186575808495617 +F = FiniteField(p) + +def poseidon2_hash(data): + return PoseidonSponge(data,2,1)[0] + + + +def Poseidon2_sponge_hash_rate_1(data, n): + return PoseidonSponge(data,3,2,n,1) + +def Poseidon2_sponge_hash_rate_2(data, n): + return PoseidonSponge(data,3,1,n,1) + + +def SBox(inp): + return inp**5 + +def InternalRound(inp, i): + round_consts = [ 0x15ce7e5ae220e8623a40b3a3b22d441eff0c9be1ae1d32f1b777af84eea7e38c + , 0x1bf60ac8bfff0f631983c93e218ca0d4a4059c254b4299b1d9984a07edccfaf0 + , 0x0fab0c9387cb2bec9dc11b2951088b9e1e1d2978542fc131f74a8f8fdac95b40 + , 0x07d085a48750738019784663bccd460656dc62c1b18964a0d27a5bd0c27ee453 + , 0x10d57b1fad99da9d3fe16cf7f5dae05be844f67b2e7db3472a2e96e167578bc4 + , 0x0c36c40f7bd1934b7d5525031467aa39aeaea461996a70eda5a2a704e1733bb0 + , 0x0e4b65a0f3e1f9d3166a2145063c999bd08a4679676d765f4d11f97ed5c080ae + , 0x1ce5561061120d5c7ea09da2528c4c041b9ad0f05d655f38b10d79878b69f29d + , 0x2d323f651c3da8f0e0754391a10fa111b25dfa00471edf5493c44dfc3f28add6 + , 0x05a0741ee5bdc3e099fd6bdad9a0865bc9ceecd13ea4e702e536dd370b8f1953 + , 0x176a2ec4746fc0e0eca9e5e11d6facaee05524a92e5785c8b8161780a4435136 + , 0x0691faf0f42a9ed97629b1ae0dc7f1b019c06dd852cb6efe57f7eeb1aa865aef + , 0x0e46cf138dad09d61b9a7cab95a23b5c8cb276874f3715598bacb55d5ad271de + , 0x0f18c3d95bac1ac424160d240cdffc2c44f7b6315ba65ed3ff2eff5b3e48b4f2 + , 0x2eea6af14b592ec45a4119ac1e6e6f0312ecd090a096e340d472283e543ddff7 + , 0x06b0d7a8f4ce97d049ae994139f5f71dca4899d4f1cd3dd83a32a89a58c0a8e6 + , 0x019df0b9828eed5892dd55c1ad6408196f6293d600ef4491703a1b37e119ba8e + , 0x08ca5e3c93817cdb1c2b2a12d02c779d74c1bb12b6668f3ab3ddd7837f3a4a00 + , 0x28382d747e3fd6cb2e0d8e8edd79c5313eed307a3517c11046245b1476e4f701 + , 0x0ca89aecd5675b77c8271765da98cfcb6875b3053d4742c9ff502861bd16ad28 + , 0x19046bc0b03ca90802ec83f212001e7ffd7f9224cfffae523451deb52eab3787 + , 0x036fd7dfa1c05110b3428e6abcc43e1de9abba915320c4a600f843bfb676ca51 + , 0x08f0a7abcb1a2f6595a9b7380c5028e3999db4fe5cb21892e5bb5cb11a7757ba + , 0x0b614acc1ce3fbe9048f8385e4ee24c3843deea186bacea3c904c9f6340ad8cb + , 0x00b2d98c5d988f9b41f2c98e017fc954a6ae423b2261575941f8eac8835d985c + , 0x1457f18555b7973ba5b311d57ec5d77e936980b97f5973875f1f7cc765a4fc95 + , 0x002b453debc1bee525cb751bc10641a6b86f847d696418cf1144950982591bfa + , 0x0c2af1abcc6ece77218315d2af445ccbfc6647b7af2510682882cc792c6bb8cf + , 0x0e2825d9eb84b59902a1adb49ac0c2c291dee7c45d2e8c30369a4d595039e8ad + , 0x297e2e86a8c672d39f3343b8dfce7a6f20f3571bfd5c8a28e3905aa2dcfeca44 + , 0x00d397281d902e49ec6504ba9186e806db9ad4fc8f86e7277aa7f1467eb6f9de + , 0x2fb7c89c372d7e2050e7377ed471000c73544a2b9fd66557f3577c09cac98b4b + , 0x16125247be4387a8c3e62490167f0cffdba02eda4f018d0b40639a13bb0cfef9 + , 0x2291fd9d442f2d9b97ab22f7d4d52c2a82e41f852cf620b144612650a39e26e8 + , 0x1eec61f16a275ae238540feaeeadfec56d32171b1cc393729d06f37f476fde71 + , 0x259ce871ba5dacbb48d8aed3d8513eef51558dc0b360f28c1a15dbfc5e7f6ca2 + , 0x2d3376a14ddbf95587e2f7567ff04fe13a3c7cb17363c8b9c5dd1d9262a210cb + , 0x13b843d9f65f4cddd7ce10d9cad9b8b99ac5e9a8c4269288173a91c0f3c3b084 + , 0x0b52e9b2f1aa9fd204e4a42c481cc76c704783e34114b8e93e026a50fa9764e8 + , 0x1fd083229276c7f27d3ad941476b394ff37bd44d3a1e9caca1400d9077a2056c + , 0x22743c328a6283f3ba7379af22c684c498568fd7ad9fad5151368c913197cbd9 + , 0x043007aefd9741070d95caaaba0c1b070e4eec8eef8c1e512c8e579c6ed64f76 + , 0x17ab175144f64bc843074f6b3a0c57c5dd2c954af8723c029ee642539496a7b3 + , 0x2befcad3d53fba5eeef8cae9668fed5c1e9e596a46e8458e218f7a665fddf4eb + , 0x15151c4116d97de74bfa6ca3178f73c8fe8fe612c70c6f85a7a1551942cb71cc + , 0x2ac40bf6c3176300a6835d5fc7cc4fd5e5d299fb1baa86487268ec1b9eedfa97 + , 0x0f151de1f01b4e24ffe04279318f0a68efabb485188f191e37e6915ff6059f6e + , 0x2e43dffc34537535182aebac1ad7bf0a5533b88f65f9652f0ad584e2ffc4dd1f + , 0x2ebabc2c37ef53d8b13b24a2a2b729d536735f58956125a3876da0664c2442d7 + , 0x0dc3beceb34e49f5ad7226dd202c5cf879dffcc9a6dd32a300e8f2a4b59edf03 + , 0x2f1ddeccce83adf68779c53b639871a8f81d4d00aefe1e812efce8ec999d457d + , 0x1f63e41280ff5c021715d52b19780298ed8bd3d5eb506316b527e24149d4d4f1 + , 0x1b8c1252a5888f8cb2672effb5df49c633d3fd7183271488a1c40d0f88e7636e + , 0x0f45697130f5498e2940568ef0d5e9e16b1095a6cdbb6411df20a973c605e70b + , 0x0780ccc403cdd68983acbd34cda41cacfb2cf911a93076bc25587b4b0aed4929 + , 0x238d26ca97c691591e929f32199a643550f325f23a85d420080b289d7cecc9d4 + ] + + sb = SBox(inp[0] + round_consts[i]) + out = [F(0) for i in range(3)] + out[0] = 2*sb + inp[1] + inp[2]; + out[1] = sb + 2*inp[1] + inp[2]; + out[2] = sb + inp[1] + 3*inp[2]; + return out + +def ExternalRound(inp, i): + out = [F(0) for j in range(3)] + round_consts = [ [ F(0x2c4c51fd1bb9567c27e99f5712b49e0574178b41b6f0a476cddc41d242cf2b43) + , F(0x1c5f8d18acb9c61ec6fcbfcda5356f1b3fdee7dc22c99a5b73a2750e5b054104) + , F(0x2d3c1988b4541e4c045595b8d574e98a7c2820314a82e67a4e380f1c4541ba90 ) + ] + , [ F(0x052547dc9e6d936cab6680372f1734c39f490d0cb970e2077c82f7e4172943d3) + , F(0x29d967f4002adcbb5a6037d644d36db91f591b088f69d9b4257694f5f9456bc2) + , F(0x0350084b8305b91c426c25aeeecafc83fc5feec44b9636cb3b17d2121ec5b88a) + ] + , [ F(0x1815d1e52a8196127530cc1e79f07a0ccd815fb5d94d070631f89f6c724d4cbe) + , F(0x17b5ba882530af5d70466e2b434b0ccb15b7a8c0138d64455281e7724a066272) + , F(0x1c859b60226b443767b73cd1b08823620de310bc49ea48662626014cea449aee) + ] + , [ F(0x1b26e7f0ac7dd8b64c2f7a1904c958bb48d2635478a90d926f5ff2364effab37) + , F(0x2da7f36850e6c377bdcdd380efd9e7c419555d3062b0997952dfbe5c54b1a22e) + , F(0x17803c56450e74bc6c7ff97275390c017f682db11f3f4ca6e1f714efdfb9bd66) + ] + , [ F(0x25672a14b5d085e31a30a7e1d5675ebfab034fb04dc2ec5e544887523f98dede) + , F(0x0cf702434b891e1b2f1d71883506d68cdb1be36fa125674a3019647b3a98accd) + , F(0x1837e75235ff5d112a5eddf7a4939448748339e7b5f2de683cf0c0ae98bdfbb3) + ] + , [ F(0x1cd8a14cff3a61f04197a083c6485581a7d836941f6832704837a24b2d15613a) + , F(0x266f6d85be0cef2ece525ba6a54b647ff789785069882772e6cac8131eecc1e4) + , F(0x0538fde2183c3f5833ecd9e07edf30fe977d28dd6f246d7960889d9928b506b3) + ] + , [ F(0x07a0693ff41476abb4664f3442596aa8399fdccf245d65882fce9a37c268aa04) + , F(0x11eb49b07d33de2bd60ea68e7f652beda15644ed7855ee5a45763b576d216e8e) + , F(0x08f8887da6ce51a8c06041f64e22697895f34bacb8c0a39ec12bf597f7c67cfc) + ] + , [ F(0x2a912ec610191eb7662f86a52cc64c0122bd5ba762e1db8da79b5949fdd38092) + , F(0x2031d7fd91b80857aa1fef64e23cfad9a9ba8fe8c8d09de92b1edb592a44c290) + , F(0x0f81ebce43c47711751fa64d6c007221016d485641c28c507d04fd3dc7fba1d2) + ] + ] + + sb = [F(0) for j in range(3)] + for j in range(3): + sb[j] = SBox(F(inp[j] + round_consts[i][j])) + out = [F(0) for j in range(3)] + out[0] = 2*sb[0] + sb[1] + sb[2] + out[1] = sb[0] + 2*sb[1] + sb[2] + out[2] = sb[0]+ sb[1] + 2*sb[2] + return out + +def LinearLayer(inp): + out = [F(0) for i in range(3)] + out[0] = 2*inp[0] + inp[1] + inp[2] + out[1] = inp[0] + 2*inp[1] + inp[2] + out[2] = inp[0] + inp[1] + 2*inp[2] + return out + +def Permutation(inp): + out = [F(0) for i in range(3)] + + state = LinearLayer(inp) + + for k in range(4): + state = ExternalRound(state, k) + for k in range(56): + state = InternalRound(state, k) + for k in range(4): + state = ExternalRound(state, k+4) + return state + +def Compression(inp): + return Permutation([inp[0],inp[1],F(0)]) + +def PoseidonSponge(data, capacity, output_len): + rate = 3 - capacity; + output = [F(0) for i in range(output_len)] + assert( capacity > 0 ) + assert( rate > 0 ) + assert( capacity < 3 ) + assert( rate < 3 ) + + # round up to rate the input + 1 field element ("10*" padding) + nblocks = ((len(data) + 1) + (rate-1)) // rate; + nout = (output_len + (rate-1)) // rate; + padded_len = nblocks * rate; + + padded = [] + for i in range(len(data)): + padded.append(F(data[i])) + padded.append(F(1)) + for i in range(len(data)+1,padded_len): + padded.append(F(0)) + + civ = F(2**64 + 256*3 + rate) + + state = [F(0),F(0),F(civ)] + sorbed = [F(0) for j in range(rate)] + + for m in range(nblocks): + for i in range(rate): + a = state[i] + b = padded[m*rate+i] + sorbed[i] = a + b + state = Permutation(sorbed[0:rate] + state[rate:3]) + + q = min(rate, output_len) + for i in range(q): + output[i] = state[i] + out_ptr = rate + + for n in range(1,nout): + state[nblocks+n] = Permutation(state[nblocks+n-1]) + q = min(rate, output_len-out_ptr) + for i in range(q): + output[out_ptr+i] = state[nblocks+n][i] + out_ptr += rate + + return output + +R = RealField(500) #Real numbers with precision 500 bits + +if len(sys.argv) != Integer(4): + print("Usage: