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|
; -*- mode: Lisp; fill-column: 400 -*-
;
; Poseidon Library
;
; Copyright (C) 2024 Eric McCarthy (bendyarm on GitHub)
;
; Licensed under the Apache License, Version 2.0 (the "License");
; you may not use this file except in compliance with the License.
; You may obtain a copy of the License at
;
; http://www.apache.org/licenses/LICENSE-2.0
;
; Unless required by applicable law or agreed to in writing, software
; distributed under the License is distributed on an "AS IS" BASIS,
; WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
; See the License for the specific language governing permissions and
; limitations under the License.
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(in-package "POSEIDON")
(include-book "std/util/defval" :dir :system)
(include-book "kestrel/crypto/primes/bn-254-group-prime" :dir :system)
(acl2::merge-io-pairs
dm::primep
(include-book "kestrel/crypto/primes/bls12-381-prime" :dir :system))
(include-book "kestrel/utilities/strings/chars-codes" :dir :system)
(include-book "kestrel/utilities/digits-any-base/core" :dir :system)
(include-book "std/testing/assert-equal" :dir :system)
(include-book "main-definition")
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(defxdoc+ poseidon-ingonyama-bn-254
:parents (poseidon-instantiations)
:short "Instantiation of Poseidon used by Ingonyama for the BN-254 scalar field."
:long
(xdoc::topstring
(xdoc::p
"This is an instantiation of the Poseidon permutation used by Ingonyama,
as described in the URL below.
It uses the Poseidon permutation but not any sponge absorb or squeeze steps.
The number of input field elements is constrained to be no more than
@($t = c + r$), and they are loaded directly into both the capacity and
rate field elements, left padded with zeros if needed to bring the total
to @($t$) field elements.
The output is a single field element taken from @($t[1]$), which is
equivalent to the first element of the rate @($r[0]$).
See "
(xdoc::ahref "https://github.com/ingonyama-zk/poseidon-hash" "the Github repository")
".")
(xdoc::p
"This particular instantiation has 1 capacity and 2 rate field elements,
8 full rounds, 57 partial rounds, and an alpha of 5. The field is
the prime order of the group defined by BN-254, which is also the base
field in which the Baby Jubjub curve is defined.")
(xdoc::p
"There is no domain separation defined for this instantiation,
so the caller must make sure to do their own padding and not
to expect different results for inputs of [1] and [0,1], for example")
(xdoc::p
"Note, there is also a test case for this instantiation
in the source file @('ingonyama-hash-tests.lisp')."))
:order-subtopics t
:default-parent t)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
; ark and mds matrices for ingonyama-bn-254-hash
; The ark matrix is #rounds rows, and t columns, where t = capacity + rate
; t = 3 and there are 8 + 57 = 65 rounds, so there are 3 * 65 = 195 elements.
(defconst *ingonyama-bn-254-ark*
'((#x0ee9a592ba9a9518d05986d656f40c2114c4993c11bb29938d21d47304cd8e6e #x00f1445235f2148c5986587169fc1bcd887b08d4d00868df5696fff40956e864 #x08dff3487e8ac99e1f29a058d0fa80b930c728730b7ab36ce879f3890ecf73f5)
(#x2f27be690fdaee46c3ce28f7532b13c856c35342c84bda6e20966310fadc01d0 #x2b2ae1acf68b7b8d2416bebf3d4f6234b763fe04b8043ee48b8327bebca16cf2 #x0319d062072bef7ecca5eac06f97d4d55952c175ab6b03eae64b44c7dbf11cfa)
(#x28813dcaebaeaa828a376df87af4a63bc8b7bf27ad49c6298ef7b387bf28526d #x2727673b2ccbc903f181bf38e1c1d40d2033865200c352bc150928adddf9cb78 #x234ec45ca27727c2e74abd2b2a1494cd6efbd43e340587d6b8fb9e31e65cc632)
(#x15b52534031ae18f7f862cb2cf7cf760ab10a8150a337b1ccd99ff6e8797d428 #x0dc8fad6d9e4b35f5ed9a3d186b79ce38e0e8a8d1b58b132d701d4eecf68d1f6 #x1bcd95ffc211fbca600f705fad3fb567ea4eb378f62e1fec97805518a47e4d9c)
(#x10520b0ab721cadfe9eff81b016fc34dc76da36c2578937817cb978d069de559 #x1f6d48149b8e7f7d9b257d8ed5fbbaf42932498075fed0ace88a9eb81f5627f6 #x1d9655f652309014d29e00ef35a2089bfff8dc1c816f0dc9ca34bdb5460c8705)
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(defconst *ingonyama-bn-254-mds*
'((#x109b7f411ba0e4c9b2b70caf5c36a7b194be7c11ad24378bfedb68592ba8118b #x16ed41e13bb9c0c66ae119424fddbcbc9314dc9fdbdeea55d6c64543dc4903e0 #x2b90bba00fca0589f617e7dcbfe82e0df706ab640ceb247b791a93b74e36736d)
(#x2969f27eed31a480b9c36c764379dbca2cc8fdd1415c3dded62940bcde0bd771 #x2e2419f9ec02ec394c9871c832963dc1b89d743c8c7b964029b2311687b1fe23 #x101071f0032379b697315876690f053d148d4e109f5fb065c8aacc55a0f89bfa)
(#x143021ec686a3f330d5f9e654638065ce6cd79e28c5b3753326244ee65a1b1a7 #x176cc029695ad02582a70eff08a6fd99d057e12e58e7d7b6b16cdfabc8ee2911 #x19a3fc0a56702bf417ba7fee3802593fa644470307043f7773279cd71d25d5e0)))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
; Made this a nullary function to make it easier to prevent expansion
; and easier to view in the debugger.
(define ingonyama-bn-254--parameters ()
:short "Poseidon parameters for Ingonyama BN-254 rate 2 implementation."
(make-param
:prime primes::*bn-254-group-prime*
:rate 2
:capacity 1
:alpha 5
:full-rounds-half 4
:partial-rounds 57
:constants *ingonyama-bn-254-ark*
:mds *ingonyama-bn-254-mds*
:rate-then-capacity-p nil
:ascending-p t
:partial-first-p t)
:returns (param paramp))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define ingonyama-bn-254-hash ((inputs (fe-listp inputs (param->prime (ingonyama-bn-254--parameters)))))
:guard (<= (len inputs) (param->size (ingonyama-bn-254--parameters)))
:returns (output (fep output (param->prime (ingonyama-bn-254--parameters)))
:name fep-of-ingonyama-bn-254-hash
:hyp (and (fe-listp inputs (param->prime (ingonyama-bn-254--parameters)))
(<= (len inputs) (param->size (ingonyama-bn-254--parameters))))
:hints (("Goal" :use (:instance len-of-hashp
(inputs preimage)
(param (ingonyama-bn-254--parameters))
(count 2))
:in-theory (e/d (len-of-hashp) ((:e INGONYAMA-BN-254--PARAMETERS)))
:do-not-induct t)))
:short "Hash no more than @($c + r$) inputs to a single field element output."
(let ((preimage (append (repeat (- (param->size (ingonyama-bn-254--parameters)) (len inputs)) 0)
inputs)))
;; The state vector t is [c.., r..], and in this case (len c)=1 and (len r)=2.
;; The Ingonyama output is t[1].
;; Since hashp with a count argument of 1 returns t[0], that is insufficient.
;; We need to tell hashp to return 2 outputs and to take the second.
(nth 1 (hashp preimage
(ingonyama-bn-254--parameters)
2)))
:guard-hints (("Goal" :in-theory (enable hashp)))
)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(defxdoc+ poseidon-ingonyama-bls-255
:parents (poseidon-instantiations)
:short "Instantiation of Poseidon used by Ingonyama for the BLS12-381 scalar field."
:long
(xdoc::topstring
(xdoc::p
"This is an instantiation of the Poseidon permuation used by Ingonyama,
as described in the URL below.
It uses the Poseidon permutation but not any sponge absorb or squeeze steps.
The number of input field elements is constrained to be no more than
@($t = c + r$), and they are loaded directly into both the capacity and
rate field elements, left padded with zeros if needed to bring the total
to @($t$) field elements.
The output is a single field element taken from @($t[1]$), which is
equivalent to the first element of the rate @($r[0]$).
See "
(xdoc::ahref "https://github.com/ingonyama-zk/poseidon-hash" "the Github repository")
".")
(xdoc::p
"This particular instantiation has 1 capacity and 4 rate field elements,
8 full rounds, 60 partial rounds, and an alpha of 5. The field is
the prime order of the group defined by BLS12-381, which is also the base
field in which the Jubjub curve is defined. Field elements require 255 bits.")
(xdoc::p
"There is no domain separation defined for this instantiation,
so the caller must make sure to do their own padding and not
to expect different results for inputs of [1] and [0,1], for example")
(xdoc::p
"Note, there is also a test case for this instantiation
in the source file @('ingonyama-hash-tests.lisp')."))
:order-subtopics t
:default-parent t)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
; ark and mds matrices for ingonyama-bls-255-hash
; The ark matrix is #rounds rows, and t columns, where t = capacity + rate
; t = 5 and there are 8 + 60 = 68 rounds, so there are 5 * 68 = 340 elements.
(defconst *ingonyama-bls-255-ark*
'((#x5ee52b2f39e240a4006e97a15a7609dce42fa9aa510d11586a56db98fa925158 #x3e92829ce321755f769c6fd0d51e98262d7747ad553b028dbbe98b5274b9c8e1 #x7067b2b9b65af0519cef530217d4563543852399c2af1557fcd9eb325b5365e4 #x725e66aa00e406f247f00002487d092328c526f2f5a3c456004a71cea83845d5 #x72bf92303a9d433709d29979a296d98f147e8e7b8ed0cb452bd9f9508f6e4711)
(#x3d7e5deccc6eb706c315ff02070232127dbe99bc6a4d1b23e967d35205b87694 #x13558f81fbc15c2793cc349a059d752c712783727e1443c74098cd66fa12b78b #x686f2c6d24dfb9cddbbf717708ca6e04a70f0e077766a39d5bc5de5155e6fcb2 #x582bc59317a001ed75ffe1c225901d67d8d3764a70eb254f810afc895cbf231b #x076df166a42eae40f6df9e5908a54f69a77f4c507ea6dd07d671682cbc1a9534)
(#x531f360b9640e565d580688ee5d09e2635997037e87129303bf8297459ab2492 #x30be41b5a9d8af19a5f922794008a263a121837bcbe113d59621ea30beefd075 #x39f57e4c8a1178d875210f820977f7fcd33812d444f88e471040676e3e591306 #x3514084b13bc0be636482204d9cddb072ee674c5cb1238890ee6206a3e7bf035 #x6372b6bc660daf6b04361caff785b46bbe59eb6a34ab93e23d6364e655dc3a36)
(#x422af985e648814bec5af62c142828e002d4b014b702760106b0b90c50d11de5 #x3296e51f12e0f5c49747c1beb050ff320e2eb7422807eb0c157a372dba2ea013 #x3b76246abaf33b03dd5b589b80a7fac0ae7f1ad8a9623bb7cf7432c90e27358d #x0b40e7e02f5cb836c883c7cef72ec48e87c1808f7d829e2ee0bec0ee709f7409 #x2ee81b5c29c93b8a6e8871c01d0380a698e547475359b4a4befc22ed2232690f)
(#x341ff90fc4a8afee9b74c464955ba9b357252e915b8d39ea7c1318eda718f54d #x55eddabde058f3b5e9dae90873ec9bd7b05927da36925e7dfb7bc290c1da125e #x6b34ad8cec56aae4595c403377cd2aa990a2f09b931f832781221965bb081b1c #x707de76df294fb845309d2160e1bdffebefd57a80c8658899e2c95e77254c752 #x05e9b152bfd4946b9c109f930eb01892f314597507d28c735a266f4277bb2a32)
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(#x7180760dd839d8bffbf9b1e26826cb4f6de65fa868a8143e1dc8c2b6ac6d1ac2 #x5cf2aa95907e59c4725cc17c8cf492f9a7eeef2de337ac227a983c444ae0e80e #x2b8345763484d7ec02d6ee267b7c737ca9de41e2186416bf91c65eb0cd11c0a4 #x055aa90aa60ef9b7f3c29c7500c64e6b85929220a6418dfad37ead3928059117 #x541d5e4be0967bf49a595c1d8290b750305a334f3347c01b57f8ba313170e1ca)
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(#x46a776fbf1f36d7fdfa7a210cbb2ffa533540068c169e12f127cb14d9b587056 #x41a775960677e6c5fdf73c2a409b6e5c08e271cbb8c825f598a1801c84fde5ae #x3086af931c41d791deb57f7f82dc511e4d349f42b52c3e0080097c4e44373dc8 #x155516da7a229b61392a39cc10a67112f512203cab706428f5fbbb3a9fd89fbd #x41bdb1e32081ac55f42969658f78e308bdf50175b619c3ca8e3bfdf1ca984684)
(#x01344d21e02b9c20d0d886a02167cf8502c3614ab909ae2fa7929b12d3e88519 #x733a3e92f74b793915beab78e87bd88a2227aa5406df54dc9a2c5e80a11f71e5 #x6a6cc17a31ba2fe1411cdebeb0809bf4ff0069b0d6ac681edf816ef4c59b6f64 #x0a77e0a85b06c1b152098066bd36933264641627192e3acdbf611bd002918820 #x3efb107ebed9b44672f679bffec0121fb509d19e97ae1bac3a86384e274c8c94)
(#x3c0c4b441b0ea7ffe03c011db9aab4f86ec4849a0c783a3b7af21b05f5654482 #x28072c7bfa64f6cb97e4341cd18809ef5cd083374fbec26370c2b0ac02dcdafe #x1962306e92b3c7295b2f7435ed8f67dda3a15ec6d8b0786d7727d071663ab22b #x594dc533611f7f588838f894a26b1cd27432c63f9fbe03ef2d95d9a2d191ae3f #x3e287fec491c686222949bc16c2308ade64e3a0a1dccdb25d64f9d5b94ead6e7)
(#x2a95d47fb725b3978a7f90e601f2a9ab39074b35594e0bd133f9c5f34d765d42 #x29c603ecc031a9750a4d826e4abf3874bc76c76cc7ea306b3b9636f9653ff58c #x0bbff6ba283aa42f01172bb82a2838e50941227abc3a2a5b1215b9a6d68de07c #x73c7ee55aaa453d36ed857353bc227375244a7e554ceeea2018eb9cb39a51e74 #x3ff41b13d4cb3140ac8426322e88ff6f16895d88e6de3336cc88c693e0d38175)
(#x03043688d4c991763362912a460be95b668fe9b1823fe90febfb3ffc7652ab24 #x33a29a0d56a7a64d36a67da2c691ff3eaf8ec7f0d78b357e7d2254c5b0e28f73 #x185db562fc75b43ba2710ad5e9114486b3e9712fe4c88f98b333c0c6211ac882 #x147b89a0cff9083b8952b3ef292c683f75d523f932711c6e1db3f28f5163b1fb #x58ebc5d6b50bb1e4fdb4dcdfae1b69027978826f757ee4dc10d34f963f98fb59)
(#x1318791367815809badf1f3ed677e50cef92021c65549b2dabaa52c7b424f5a9 #x5bce78553694ba32f793c8d7f8d09ac63d0d7ada32b888d61b87849f3eda9557 #x026bebcc38f0b2804ed21f2e2b16af2194375ff2559fbc588a8962caf0b684c0 #x494bceff689f9885a3998de0eaaa7ac71a04522700f2e067efdbb037c6e53c66 #x03ebaf5f0602347c4ed2bdb9a86eb955cb5cd5378f7a6f369dccb69792de8bd2)
(#x3626d91f9f05334cb32d3a42eed03f7a553a0ed4cada2db08b45b548bd3b3655 #x63ee9e5c5cd3c83e93757ed93358ff0583d761e595b62f11df27bd4292ffb6e5 #x705dd80b2db4492c8b9984439b823681c4d9c8dcddcc04b9786a90051513a0e1 #x2636ac2ac559be8fe509641dbc67e55db47bb051e05ef06301020c9501f110f1 #x4781b8da302c7764951730e7ac0892de64537d94db2e19b84eec5a2d9539288e)
(#x197852b9a62e16779725f35cd8daf52ffbc8cc9c902c16923f2ff8873795ca86 #x1c3e49f33fd73480b280dba7744cf67e244449048f8fc84f7b6e452b4ede9a35 #x41d20cdc6a15c07fd9735c89b155412fcbb7bd3cdfc27abaad2a3a8a90e99743 #x0c3a7aaeb5f65d907944d7aa48c27648be3d0371bd97a9c060e8ef4f573521b8 #x52ea7c3f75cba07991674295c4e1462108401b9a103736623943d42e4fbe334e)
(#x1106537bf3150b442b0992ee517b69707c3042015e938f97a63d5c924e67f677 #x71de967042516a5b990ef18ae9956fab89f361b950e0639963017c237ee2a0cf #x664a4487e02f7bfa07a1db6ab94a0d1ed0f9e74002bde9cfcbb65f6f74dbfca0 #x1023721fd7285260935b5a347f167ce721dd6ae5004c4debc68066bac8f2c467 #x2d52fbc95404515f5456c74b65186c860a89dcda8c84bf68fbf715f3d58fe3f2)
(#x6d987c9de419fb6e075441fd99606303e765d8696bcfe01a0d11aa0bd47c8601 #x422016ce4d744029b1440a288d7988e43d0f29d616c47f70322ff87cfbc69301 #x1f82afe8eb16611abc6600f7dc2a72c8e1d39643c189f3caa1ead08241a896c4 #x3bb8684cf815ae6d8a789e0e488c6fb2ac46883fe1cfeb8cfa6f3dbca0f954bd #x3d5a1a6e571306fac431b098cdb3c4518f5a8fc436535766fe9e1bb8bda95d1d)
(#x5e36e175c5d7df42b86285f43b1e4c6bfbaca19f1019073d38d04de0d0647669 #x2c3b1b86ce90cb3fe74c5c99b20c3314e28e2f07ce8d932030caee4dfe5055f1 #x0bfba44d41c49044bce730d8af86fe0397fff85ec10288b847868d0e9834f754 #x0b79924b9e44662369c615cc8d7f36fe4a4b2a79045cee61c413eaf91d82e0c2 #x048a11ec75eb154b70223a40cc0db9104b13f6a4ca24e7b9707963ee6f9f74ef)
(#x6dd58a400d366014e46b0b9785ce9d78516813ed2eb329dc4531bfbd8e80eec0 #x112844b7c50e7e676b616e72539d5751dec5a063456921b6b16f9e930cc35ebc #x217b616b50e729547af8ceef5008d1edf8d90bc9a7f3ce7c9bc71867e1c06471 #x3f9a0b8402ffa291bccbb46dcd2522dea790b35a8503da46717c63917dcb7b79 #x42a44fc114c0cad9badf62b911610bdc4b1a0ba9f656f66173a5476e63dfce86)
(#x294223972f4c7e9c9ebefebf059eb90f44479956f5337b12a2eb803e313e96cc #x448101837874eb1bda92bc8a632cbf8f70a0664bbcf3a196609b14c53ee4dbcb #x53a26c6e2b3df0b17faf6a259bc5531d3ae79da59eb8fc5f594e0b886d8d97be #x207c7c32631a75fe8e0da895367176d24e32c5573ec91acf235f3c6c307807cd #x20f955773b13b160d3575eb2380b466f7d38cb4a0e12a15d43d147645c3944ca)))
(defconst *ingonyama-bls-255-mds*
'((#x354423b163d1078b0dd645be56316e34a9b98e52dcf9f469be44b108be46c107 #x44778737e8bc1154aca1cd92054a1e5b83808403705f7d54da88bbd1920e1053 #x5872eefb5ab6b2946556524168a2aebb69afd513a2fff91e50167b1f6e4055e0 #x43dff85b25129835819bc8c95819f1a34136f6114e900cd3656e1b9e0e13f86a #x07803d2ffe72940596803f244ac090a9cf2d3616546520bc360c7eed0b81cbf8)
(#x45d6bc4b818e2b9a53e0e2c0a08f70c34167fd8128e05ac800651ddfee0932d1 #x08317abbb9e5046b22dfb79e64c8184855107c1d95dddd2b63ca10dddea9ff1a #x1bb80eba77c5dcffafb55ccba4ae39ac8f94a054f2a0ee3006b362f709d5e470 #x038e75bdcf8be7fd3a1e844c4de7333531bbd5a8d2c3779627df88e7480e7c5c #x2dd797a699e620ea6b31b91ba3fad4a82f40cffb3e8a30c0b7a546ff69a9002b)
(#x4b906f9ee339b196e958e3541b555b4b53e540a113b2f1cabba627be16eb5608 #x605f0c707b82ef287f46431f9241fe4acf0b7ddb151803cbcf1e7bbd27c3e974 #x100c514bf38f6ff10df1c83bb428397789cfff7bb0b1280f52343861e8c8737e #x2d40ce8af8a252f5611701c3d6b1e517161d0549ef27f443570c81fcdfe3706b #x3e6418bdf0313f59afc5f40b4450e56881110ea9a0532e8092efb06a12a8b0f1)
(#x71788bf7f6c0cebae5627c5629d012d5fba52428d1f25cdaa0a7434e70e014d0 #x55cc73296f7e7d26d10b9339721d7983ca06145675255025ab00b34342557db7 #x0f043b29be2def73a6c6ec92168ea4b47bc9f434a5e6b5d48677670a7ca4d285 #x62ccc9cdfed859a610f103d74ea04dec0f6874a9b36f3b4e9b47fd73368d45b4 #x55fb349dd6200b34eaba53a67e74f47d08e473da139dc47e44df50a26423d2d1)
(#x45bfbe5ed2f4a01c13b15f20bba00ff577b1154a81b3f318a6aff86369a66735 #x6a008906685587af05dce9ad2c65ea1d42b1ec32609597bd00c01f58443329ef #x004feebd0dbdb9b71176a1d43c9eb495e16419382cdf7864e4bce7b37440cd58 #x09f080180ce23a5aef3a07e60b28ffeb2cf1771aefbc565c2a3059b39ed82f43 #x2f7126ddc54648ab6d02493dbe9907f29f4ef3967ad8cd609f0d9467e1694607)))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
; Made this a nullary function to make it easier to prevent expansion
; and easier to view in the debugger.
(define ingonyama-bls-255--parameters ()
:short "Poseidon parameters for Ingonyama BLS-255 rate 4 implementation."
(make-param
:prime primes::*bls12-381-scalar-field-prime*
:rate 4
:capacity 1
:alpha 5
:full-rounds-half 4
:partial-rounds 60
:constants *ingonyama-bls-255-ark*
:mds *ingonyama-bls-255-mds*
:rate-then-capacity-p nil
:ascending-p t
:partial-first-p t)
:returns (param paramp))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define ingonyama-bls-255-hash ((inputs (fe-listp inputs (param->prime (ingonyama-bls-255--parameters)))))
:guard (<= (len inputs) (param->size (ingonyama-bls-255--parameters)))
:returns (output (fep output (param->prime (ingonyama-bls-255--parameters)))
:name fep-of-ingonyama-bls-255-hash
:hyp (and (fe-listp inputs (param->prime (ingonyama-bls-255--parameters)))
(<= (len inputs) (param->size (ingonyama-bls-255--parameters))))
:hints (("Goal" :use (:instance len-of-hashp
(inputs preimage)
(param (ingonyama-bls-255--parameters))
(count 2))
:in-theory (e/d (len-of-hashp) ((:e INGONYAMA-BLS-255--PARAMETERS)))
:do-not-induct t)))
:short "Hash no more than @($c + r$) inputs to a single field element output."
(let ((preimage (append (repeat (- (param->size (ingonyama-bls-255--parameters)) (len inputs)) 0)
inputs)))
;; The state vector t is [c.., r..], and in this case (len c)=1 and (len r)=2.
;; The Ingonyama output is t[1].
;; Since hashp with a count argument of 1 returns t[0], that is insufficient.
;; We need to tell hashp to return 2 outputs and to take the second.
(nth 1 (hashp preimage
(ingonyama-bls-255--parameters)
2)))
:guard-hints (("Goal" :in-theory (enable hashp)))
)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(defxdoc+ poseidon-ingonyama-bls-255-neptune
:parents (poseidon-instantiations)
:short "Instantiation of Poseidon used by Ingonyama for Neptune."
:long
(xdoc::topstring
(xdoc::p
"This is an instantiation of the Poseidon permuation used by Ingonyama,
as described in the URL below.
It uses the Poseidon permutation but not any sponge absorb or squeeze steps.
The number of input field elements is constrained to be no more than
@($t = c + r$), and they are loaded directly into both the capacity and
rate field elements, left padded with zeros if needed to bring the total
to @($t$) field elements.
The output is a single field element taken from @($t[1]$), which is
equivalent to the first element of the rate @($r[0]$).
See "
(xdoc::ahref "https://github.com/ingonyama-zk/poseidon-hash" "the Github repository")
".")
(xdoc::p
"This particular instantiation has 1 capacity and 3 rate field elements,
8 full rounds, 56 partial rounds, and an alpha of 5. The field is
the prime order of the group defined by BLS12-381, which is also the base
field in which the Jubjub curve is defined. Field elements require 255 bits.")
(xdoc::p
"There can be a domain separation field used with this instantiation.
However, it is applied to the input before calling the permutation,
so we do not model it here. A caller must model it separately.")
(xdoc::p
"Note, there is also a test case for this instantiation
in the source file @('ingonyama-hash-tests.lisp')."))
:order-subtopics t
:default-parent t)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
; ark and mds matrices for ingonyama-bls-255-neptune
; The ark matrix is #rounds rows, and t columns, where t = capacity + rate
; t = 4 and there are 8 + 56 = 64 rounds, so there are 4 * 64 = 256 elements.
(defconst *ingonyama-bls-255-neptune-ark*
'((#x435dbb70fe9639bb3d2e7e1948b167bbcc7c29bed7d24e2ae783b7258c3b9b79 #x307afe4a167ba0d1d93f60f15346bda015fa08615bc785bd204aee1741264d5 #x5c0e30ebca2f181197c0f06e98379ea11ca0b657bf1dde1060041f9e959945d2 #x181b9f96bd7efa33178ba5316e4441a392c2bb1e0d5437a8ff1613f5997cc4cf)
(#x428c5fb2bb090a1139904e862c27c1de0beb6790719c72495e4b83053dcdc51e #x6966e075558905b9ce6122ae7c5bd2cdd5dc93f394ce03b64e2a6a6267b81206 #x521a2ac09efda0859ac79dc6b7948ed9d184b70a93397757c7e1e78cb95e2ce6 #xe09bd2528ba0b94d6ed86121aa48abf769d47c65138c5993a573528d2f09837)
(#x1360abae0b804b8f70007cc8953ee7697a650fba556e3f0bdacb8376f4ad5519 #x616b4bfdf7c135daf2dda0fc23649e67ecadd04666c0c20b25abcaf4325dea5 #x30d52aeb1848a121c102f3cd4c26c3a8b33a012d9a5d5d370ec2469d6bb621be #x29179ed83ab1110b93767b25101a0ed78388651d7926f80d0bedaee66e4dfc37)
(#x71e1b7a0d4251e03b897b26d64e19230a94d5579de0114e99172feacaa50f1c #x8c69e6eddea48915949a0c7aa08d1d01b5128f7eb998d97b870d9f51f1aecdc #xec55a6b06550b25d3df32a9c2e24ae00a89b1a19d65226986033c2bbad66e02 #x38891749192cdac572a4eb14bdef515ebcfa720fd7170230bacfbb62862401cc)
(#x210e13978dc5983b3efc3c3643b0df191cb26f2eb0085079578b1498f6c6f19a #xe7df63365732c5484104c7db6676a77ce32e0a4a06f78a54d70e5fd655adbc0 #x2378638e5e2c069daf8135babf89ce5f62d5fd5f374bc6a85d5d8e835df9a8c3 #x429b476c33c844ffc774fdb4573a05fcf60f6c62f881b21dc2bedd7ce3d699d9)
(#xc1776202f964b1050a843ec1c09d0b2737a3562b0ac9a35d4d341a36fee7b5e #x214769f3449c3ec3a1d274c932b9b20b7d58606f1b39ec4d7c550f90f4980d7e #x2440ca310753171d1ecb3276fcb1abe78329665f1ee54031f62f02238467fe6e #x41d7fc31fb80088dd2e5050e9ca265bf0d3367272b97abe417e3889ec3edc8f6)
(#x6acceda1e5b88a6d5e62c93a248225b3d019f22564f7b5dc2aacf619ae2f8647 #x3bd0c24df838361cf463d5346262b4a83fbdeda25ead4bdf3a0ec683247546a2 #x1c46861bb307c05ef9744ab2f3f1121944e4c45034ee6ac8f0272e755d4b6f6d #xaff9e92f3b43678fe551bbd8f25c2613b03c0b8246079e180a6cd2cbb4c9c24)
(#x65c86e5cf041918dd50f1459eae4988cdd99a4bf7d1babfd946ffa235de2e73c #x34456093491393fc5ae59ab7c7b6169c0b0939a52e085f495559c23a7c7e6c14 #x39135f352442c5fa32c3400534c994e279913fabfcd9373bca18052fcef15803 #x6354a55ec8726101d11a749214be3c6418b1816e577e08f1c1a2f435614896cb)
(#xd3b0448c50b68f7baceaccd94552a122b89b786ca620b863c02a7a5bfe774cd #x37de17de5d77d1aa293a04e1d2a9ccf8f5f475f1f6d00b2a9e279e20b6df70c3 #x3f06cd79850df6108be46661a92292eee0981c98d05ec2f553b8e7a6cdd15a13 #x1190dda4cbcc050860d69d9b0841f371e6ee0f1f3e318a193a3d254c8ea19930)
(#x4d486da7382a041ff02f0d19ac57a8d10a46363a3ff70fe6166ecc52d073902d #x2b6542eaeb87fc42fcd92147064a91a0214004b6d838afd7346a2716b3ef92cf #x57511ad2e251bb9c3510331ef75a449de6ab76044785522e2c58118073734374 #x3d8b02b647073d6bb96f2e9b27b0fb80748c9fda99003c8529460644a3999544)
(#x4d01c4c679e545449955e318ee0d32c66969b9ef7351cbefcff2be6db93d6340 #xd148334ee5f03afe680a0bfbc479ebba90c149c251c38dc7214d192adc23d59 #x51cb09abe4ca48849b8ed609a35530063d1e108bef461b57cb4ab256d23c8715 #x6cb836cc464e1def59ee2eb012ece332dbe6e8d40fe5be20d467f1aac6463a64)
(#x4aa865b463081e81767d3a0bb6d996b80b46e60d252d4acdc6a58b686981a4e1 #x6d74e3ccfee94f471b8e2906f26117fa6ae0a5ecbeb8d5d6be7670950c7ad08e #x31de4d8889e45640c1ab6cb3c1e448a59251868082c8661e23ca2494fe20db41 #xcb45744245e16f06ceaa2fb2a7a867250aeb0b72c1362dbd59e8c42fc272403)
(#x2022672836eb3a87b07d2b8e8d3d54e84ef074c3f3711f812ff4b917f724c9bd #x14a3a3c5e0772147a6099b58ddea285408e653738c665389206678f49cde7ed0 #x64aaf5f888bb77306894f4197dd84f69ee9def0215594abdce5ea7981fd7b04a #x5966360244e5804391c0a967aa24682ed0d253169803f1de4d7a74610ad696fd)
(#x72ab5d880b24076b9ab2bde88b7f6c33b0f7dbebacc7fbcb34b7a8257a7d96d7 #x6710e136713dc87ff3f9cb210aa1db11394f00ce3b255a9c7c717edb53a62107 #xb4a708d71ca90ea133e0532a3328c3957ce53f2b9e3fc6d17271d47d9d35b67 #x4c2375cffbedf2ecde0634f867383938a70cec4f409f728859244d9df7d15154)
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(defconst *ingonyama-bls-255-neptune-mds*
'((#x56f23d7e5f361df6266b620607396203fece3b023ffec4ff3fffffff40000001 #x458e97984c2b4b2b51ef819e6c2de803323e959b66656a65cccccccc33333334 #x609b60c54d5893118005895c0806deaf1b1e08ad2aa94ca9d555555480000001 #x211f5460e751918257c7624b7077624aaa362edc49241a48db6db6db24924925)
(#x458e97984c2b4b2b51ef819e6c2de803323e959b66656a65cccccccc33333334 #x609b60c54d5893118005895c0806deaf1b1e08ad2aa94ca9d555555480000001 #x211f5460e751918257c7624b7077624aaa362edc49241a48db6db6db24924925 #x656ff268c469cd9f2cd29d07086d9d04a945ef829ffe907f1fffffff20000001)
(#x609b60c54d5893118005895c0806deaf1b1e08ad2aa94ca9d555555480000001 #x211f5460e751918257c7624b7077624aaa362edc49241a48db6db6db24924925 #x656ff268c469cd9f2cd29d07086d9d04a945ef829ffe907f1fffffff20000001 #x19c308bd25b13848eef068e557794c72f62a247271c6bf1c38e38e38aaaaaaab)
(#x211f5460e751918257c7624b7077624aaa362edc49241a48db6db6db24924925 #x656ff268c469cd9f2cd29d07086d9d04a945ef829ffe907f1fffffff20000001 #x19c308bd25b13848eef068e557794c72f62a247271c6bf1c38e38e38aaaaaaab #x22c74bcc2615a595a8f7c0cf3616f401991f4acdb332b532e66666661999999a)))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
; Made this a nullary function to make it easier to prevent expansion
; and easier to view in the debugger.
(define ingonyama-bls-255-neptune--parameters ()
:short "Poseidon parameters for Ingonyama BLS-255-neptune rate 3 implementation."
(make-param
:prime primes::*bls12-381-scalar-field-prime*
:rate 3
:capacity 1
:alpha 5
:full-rounds-half 4
:partial-rounds 56
:constants *ingonyama-bls-255-neptune-ark*
:mds *ingonyama-bls-255-neptune-mds*
:rate-then-capacity-p nil
:ascending-p t
:partial-first-p t)
:returns (param paramp))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define ingonyama-bls-255-neptune-hash ((inputs (fe-listp inputs (param->prime (ingonyama-bls-255-neptune--parameters)))))
:guard (<= (len inputs) (param->size (ingonyama-bls-255-neptune--parameters)))
:returns (output (fep output (param->prime (ingonyama-bls-255-neptune--parameters)))
:name fep-of-ingonyama-bls-255-neptune-hash
:hyp (and (fe-listp inputs (param->prime (ingonyama-bls-255-neptune--parameters)))
(<= (len inputs) (param->size (ingonyama-bls-255-neptune--parameters))))
:hints (("Goal" :use (:instance len-of-hashp
(inputs preimage)
(param (ingonyama-bls-255-neptune--parameters))
(count 2))
:in-theory (e/d (len-of-hashp) ((:e INGONYAMA-BLS-255-neptune--PARAMETERS)))
:do-not-induct t)))
:short "Hash no more than @($c + r$) inputs to a single field element output."
(let ((preimage (append (repeat (- (param->size (ingonyama-bls-255-neptune--parameters)) (len inputs)) 0)
inputs)))
;; The state vector t is [c.., r..], and in this case (len c)=1 and (len r)=2.
;; The Ingonyama output is t[1].
;; Since hashp with a count argument of 1 returns t[0], that is insufficient.
;; We need to tell hashp to return 2 outputs and to take the second.
(nth 1 (hashp preimage
(ingonyama-bls-255-neptune--parameters)
2)))
:guard-hints (("Goal" :in-theory (enable hashp)))
)
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