constants.rs

// -*- mode: rust; -*-
//
// This file is part of curve25519-dalek.
// Copyright (c) 2016-2021 isis lovecruft
// Copyright (c) 2016-2019 Henry de Valence
// See LICENSE for licensing information.
//
// Authors:
// - isis agora lovecruft <isis@patternsinthevoid.net>
// - Henry de Valence <hdevalence@hdevalence.ca>

//! This module contains constants used by the AVX2 backend.

use packed_simd::u32x8;

use backend::vector::avx2::edwards::{CachedPoint, ExtendedPoint};
use backend::vector::avx2::field::FieldElement2625x4;
use window::NafLookupTable8;

/// The identity element as an `ExtendedPoint`.
pub(crate) static EXTENDEDPOINT_IDENTITY: ExtendedPoint = ExtendedPoint(FieldElement2625x4([
    u32x8::new(0, 1, 0, 0, 1, 0, 0, 0),
    u32x8::splat(0),
    u32x8::splat(0),
    u32x8::splat(0),
    u32x8::splat(0),
]));

/// The identity element as a `CachedPoint`.
pub(crate) static CACHEDPOINT_IDENTITY: CachedPoint = CachedPoint(FieldElement2625x4([
    u32x8::new(121647, 121666, 0, 0, 243332, 67108845, 0, 33554431),
    u32x8::new(67108864, 0, 33554431, 0, 0, 67108863, 0, 33554431),
    u32x8::new(67108863, 0, 33554431, 0, 0, 67108863, 0, 33554431),
    u32x8::new(67108863, 0, 33554431, 0, 0, 67108863, 0, 33554431),
    u32x8::new(67108863, 0, 33554431, 0, 0, 67108863, 0, 33554431),
]));

/// The low limbs of (2p, 2p, 2p, 2p), so that
/// ```ascii,no_run
/// (2p, 2p, 2p, 2p) = [P_TIMES_2_LO, P_TIMES_2_HI, P_TIMES_2_HI, P_TIMES_2_HI, P_TIMES_2_HI]
/// ```
pub(crate) static P_TIMES_2_LO: u32x8 = u32x8::new(
    67108845 << 1,
    67108845 << 1,
    33554431 << 1,
    33554431 << 1,
    67108845 << 1,
    67108845 << 1,
    33554431 << 1,
    33554431 << 1,
);

/// The high limbs of (2p, 2p, 2p, 2p), so that
/// ```ascii,no_run
/// (2p, 2p, 2p, 2p) = [P_TIMES_2_LO, P_TIMES_2_HI, P_TIMES_2_HI, P_TIMES_2_HI, P_TIMES_2_HI]
/// ```
pub(crate) static P_TIMES_2_HI: u32x8 = u32x8::new(
    67108863 << 1,
    67108863 << 1,
    33554431 << 1,
    33554431 << 1,
    67108863 << 1,
    67108863 << 1,
    33554431 << 1,
    33554431 << 1,
);

/// The low limbs of (16p, 16p, 16p, 16p), so that
/// ```ascii,no_run
/// (16p, 16p, 16p, 16p) = [P_TIMES_16_LO, P_TIMES_16_HI, P_TIMES_16_HI, P_TIMES_16_HI, P_TIMES_16_HI]
/// ```
pub(crate) static P_TIMES_16_LO: u32x8 = u32x8::new(
    67108845 << 4,
    67108845 << 4,
    33554431 << 4,
    33554431 << 4,
    67108845 << 4,
    67108845 << 4,
    33554431 << 4,
    33554431 << 4,
);

/// The high limbs of (16p, 16p, 16p, 16p), so that
/// ```ascii,no_run
/// (16p, 16p, 16p, 16p) = [P_TIMES_16_LO, P_TIMES_16_HI, P_TIMES_16_HI, P_TIMES_16_HI, P_TIMES_16_HI]
/// ```
pub(crate) static P_TIMES_16_HI: u32x8 = u32x8::new(
    67108863 << 4,
    67108863 << 4,
    33554431 << 4,
    33554431 << 4,
    67108863 << 4,
    67108863 << 4,
    33554431 << 4,
    33554431 << 4,
);

/// Odd multiples of the Ed25519 basepoint:
pub(crate) static BASEPOINT_ODD_LOOKUP_TABLE: NafLookupTable8<CachedPoint> = NafLookupTable8([
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            3571425,
            10045002,
            19036563,
            1096096,
            243332,
            65897020,
            0,
            28963681,
        ),
        u32x8::new(
            30896895,
            63055514,
            1614915,
            5095970,
            0,
            53791688,
            0,
            31258312,
        ),
        u32x8::new(
            13347627,
            40339464,
            2236269,
            11185503,
            0,
            22520087,
            0,
            8659512,
        ),
        u32x8::new(
            11125413,
            29139905,
            32037254,
            28360723,
            0,
            64556417,
            0,
            9635759,
        ),
        u32x8::new(
            33268144,
            47262491,
            4336918,
            15795740,
            0,
            22027545,
            0,
            4846528,
        ),
    ])),
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            47099681,
            31447946,
            29365447,
            24740513,
            42991046,
            18317844,
            16051644,
            21404226,
        ),
        u32x8::new(
            31708133,
            28909527,
            2366091,
            13703791,
            469246,
            54159622,
            2601402,
            32988002,
        ),
        u32x8::new(
            63432457,
            30251794,
            15163516,
            18491340,
            28144087,
            35605455,
            13682295,
            18474872,
        ),
        u32x8::new(
            12221607,
            4967598,
            26061980,
            26008006,
            20226147,
            9726961,
            17410,
            18051083,
        ),
        u32x8::new(
            60569645,
            62487085,
            11911242,
            21920922,
            4092105,
            38186967,
            22431483,
            31366585,
        ),
    ])),
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            18147205,
            62587998,
            2554617,
            536692,
            11924528,
            26674131,
            17645433,
            24341419,
        ),
        u32x8::new(
            11573357,
            27579485,
            31491870,
            29000885,
            10800976,
            51902791,
            28076395,
            20464029,
        ),
        u32x8::new(
            56031649,
            10856669,
            11791193,
            26769430,
            25306956,
            5922200,
            6630685,
            9385098,
        ),
        u32x8::new(
            31319348,
            23906711,
            16290213,
            32142166,
            61106354,
            17181823,
            3548308,
            12022566,
        ),
        u32x8::new(
            5904298,
            50218605,
            11826440,
            5492249,
            10379071,
            3472255,
            172742,
            31948344,
        ),
    ])),
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            10625852,
            15193821,
            22918394,
            23676410,
            53695416,
            54987793,
            10067515,
            11747680,
        ),
        u32x8::new(
            65013325,
            1309652,
            29616320,
            28922974,
            60360891,
            19621771,
            9938982,
            30406429,
        ),
        u32x8::new(
            54967954,
            65931918,
            5595602,
            25719523,
            64909864,
            30566415,
            15945272,
            8495317,
        ),
        u32x8::new(
            1167157,
            55265018,
            11507029,
            31641054,
            43497904,
            2367338,
            12937761,
            27517066,
        ),
        u32x8::new(
            656704,
            2544994,
            13006713,
            480979,
            38471594,
            62541240,
            25353597,
            11531760,
        ),
    ])),
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            22176662,
            3984313,
            27495285,
            4110608,
            2909584,
            30594106,
            15677919,
            2549183,
        ),
        u32x8::new(
            33979105,
            62269905,
            2071511,
            6894756,
            53189950,
            47232857,
            6408191,
            6123225,
        ),
        u32x8::new(
            32553873,
            63948030,
            12612401,
            3633166,
            24054373,
            37626618,
            14481327,
            8520484,
        ),
        u32x8::new(
            56552486,
            10749438,
            12034813,
            28811946,
            1445640,
            36755601,
            12104575,
            10257833,
        ),
        u32x8::new(
            22795808,
            48761311,
            1136056,
            9380768,
            1411523,
            5341811,
            27318329,
            9686767,
        ),
    ])),
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            21157200,
            39156966,
            20473176,
            4934657,
            61478183,
            45121537,
            5429856,
            13035023,
        ),
        u32x8::new(
            7954529,
            58789246,
            31440083,
            7054221,
            38438565,
            36856107,
            1364112,
            14548122,
        ),
        u32x8::new(
            26120083,
            36321360,
            4919997,
            31687496,
            33757765,
            36237559,
            15243054,
            32163861,
        ),
        u32x8::new(
            25878307,
            46544824,
            19455951,
            2414935,
            16844726,
            56521560,
            32680554,
            26660660,
        ),
        u32x8::new(
            48360220,
            43407178,
            12187042,
            24925816,
            7423722,
            25746484,
            12814654,
            17395963,
        ),
    ])),
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            63153652,
            32195955,
            4087908,
            8431689,
            30392384,
            47203165,
            8986649,
            9053039,
        ),
        u32x8::new(
            63659241,
            47988767,
            2931872,
            19953600,
            11747107,
            51610101,
            20952181,
            13364887,
        ),
        u32x8::new(
            3659197,
            58790649,
            5930099,
            2605312,
            28477896,
            580728,
            20579735,
            2610622,
        ),
        u32x8::new(
            41781607,
            17161358,
            10690531,
            24368015,
            47027031,
            36742339,
            5414694,
            13156365,
        ),
        u32x8::new(
            13237853,
            51182423,
            8954802,
            29006542,
            22643989,
            56896541,
            22830593,
            10289708,
        ),
    ])),
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            1401265,
            58846825,
            30911620,
            32239180,
            15391552,
            15200821,
            6339309,
            16403588,
        ),
        u32x8::new(
            55913797,
            29541724,
            1664461,
            21709410,
            38470488,
            47097092,
            17674945,
            32666066,
        ),
        u32x8::new(
            22844482,
            10797709,
            27548106,
            31638735,
            34500968,
            26611503,
            19727211,
            13160873,
        ),
        u32x8::new(
            31485204,
            14496164,
            13981208,
            10276888,
            5748808,
            35024436,
            2740987,
            7479021,
        ),
        u32x8::new(
            58541207,
            14866135,
            32344041,
            545930,
            62661488,
            6941250,
            27940205,
            11976112,
        ),
    ])),
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            39849808,
            44781685,
            15697329,
            24387845,
            12501486,
            50260092,
            23199481,
            31929024,
        ),
        u32x8::new(
            24823070,
            27956017,
            27034296,
            10316465,
            47664045,
            11152446,
            15719183,
            30181617,
        ),
        u32x8::new(
            20771189,
            19969144,
            31433937,
            19185213,
            27565920,
            10384445,
            2893359,
            9255362,
        ),
        u32x8::new(
            42894974,
            11925545,
            32134441,
            32738810,
            55916336,
            32479272,
            19563550,
            5511385,
        ),
        u32x8::new(
            17857161,
            47809169,
            14564114,
            27997751,
            33024640,
            38669671,
            31956536,
            27313245,
        ),
    ])),
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            58237774,
            15917425,
            18872208,
            19394230,
            17374297,
            6101419,
            4839741,
            6596900,
        ),
        u32x8::new(
            66947393,
            15744215,
            18368993,
            17750160,
            41006525,
            9205497,
            2629667,
            32170865,
        ),
        u32x8::new(
            66481381,
            1919414,
            28338762,
            7372967,
            33819153,
            4156199,
            27126309,
            12739816,
        ),
        u32x8::new(
            44117158,
            58545296,
            22521371,
            11809712,
            28998792,
            50731010,
            30215699,
            25748377,
        ),
        u32x8::new(
            23561284,
            4160244,
            9035405,
            24895184,
            39761639,
            59253416,
            8684759,
            22487864,
        ),
    ])),
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            12671134,
            56419053,
            16092401,
            30038207,
            4002647,
            47822606,
            7151311,
            28430768,
        ),
        u32x8::new(
            61041684,
            35765374,
            30598048,
            19666539,
            44150175,
            40140037,
            290469,
            28442674,
        ),
        u32x8::new(
            18847796,
            1371617,
            33316881,
            13199936,
            43646578,
            17068881,
            12074900,
            1537415,
        ),
        u32x8::new(
            10052225,
            38316070,
            27469797,
            5297537,
            50725570,
            20435349,
            10339121,
            2779737,
        ),
        u32x8::new(
            18372189,
            15466385,
            24762130,
            22217964,
            23503887,
            47844464,
            10415034,
            2606889,
        ),
    ])),
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            55082775,
            45300503,
            16032654,
            5964396,
            17743504,
            24634761,
            19493066,
            5184611,
        ),
        u32x8::new(
            50172633,
            35093294,
            10040575,
            23616256,
            4543900,
            61852191,
            4049821,
            7423669,
        ),
        u32x8::new(
            20295398,
            40009376,
            10487190,
            15670429,
            51972856,
            58649552,
            20436392,
            3432497,
        ),
        u32x8::new(
            35189420,
            54117751,
            12825868,
            6283038,
            27540739,
            30648758,
            22658912,
            9466689,
        ),
        u32x8::new(
            51737549,
            40725785,
            17409814,
            25201086,
            21156239,
            34176168,
            26814520,
            5956424,
        ),
    ])),
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            8211442,
            8014184,
            6260823,
            22108096,
            32182620,
            51844847,
            2466270,
            28582231,
        ),
        u32x8::new(
            27199739,
            3848333,
            31738017,
            10892045,
            4963982,
            65391770,
            32551997,
            28906469,
        ),
        u32x8::new(
            16606846,
            32207068,
            26404535,
            7614129,
            45416902,
            65584718,
            13821785,
            2646060,
        ),
        u32x8::new(
            36090634,
            57981287,
            32247670,
            22837502,
            31003861,
            55448117,
            6062915,
            20369975,
        ),
        u32x8::new(
            27381403,
            50578107,
            522631,
            29521058,
            31137497,
            40220737,
            27628049,
            1824195,
        ),
    ])),
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            59402443,
            17056879,
            29262689,
            6131785,
            52551472,
            43367471,
            29423199,
            18899208,
        ),
        u32x8::new(
            5749414,
            43514612,
            11365899,
            21514624,
            65591890,
            60945892,
            19841732,
            5628567,
        ),
        u32x8::new(
            19334369,
            52500268,
            12307673,
            5267367,
            3212103,
            9035822,
            29142161,
            30520954,
        ),
        u32x8::new(
            57261330,
            6819646,
            22089161,
            9800373,
            55155453,
            62250856,
            13766735,
            25244545,
        ),
        u32x8::new(
            54370226,
            61888301,
            24496089,
            2540581,
            65637506,
            60274355,
            18154273,
            11687259,
        ),
    ])),
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            12521903,
            26014045,
            13995625,
            33360175,
            23605474,
            7376434,
            27229267,
            17195036,
        ),
        u32x8::new(
            59482891,
            10074423,
            574357,
            3857753,
            61377787,
            50306685,
            5241065,
            20234396,
        ),
        u32x8::new(
            23674717,
            6997172,
            20771841,
            16858511,
            40565304,
            29973136,
            7049812,
            14585010,
        ),
        u32x8::new(
            1427477,
            13295732,
            31762066,
            31499740,
            60419925,
            54666164,
            22009424,
            8089609,
        ),
        u32x8::new(
            58154031,
            41593020,
            15342328,
            957047,
            38937260,
            37037498,
            24871992,
            32973409,
        ),
    ])),
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            30654745,
            51286025,
            21206982,
            2433562,
            12780105,
            31732574,
            33087964,
            33081189,
        ),
        u32x8::new(
            66640017,
            42720009,
            16567620,
            15300745,
            1530367,
            33001123,
            20930247,
            21042661,
        ),
        u32x8::new(
            15003356,
            5294119,
            22985605,
            18928772,
            32628461,
            18230172,
            14773298,
            27193722,
        ),
        u32x8::new(
            27555,
            65346287,
            17017174,
            7837720,
            21499787,
            42855613,
            22474984,
            13675085,
        ),
        u32x8::new(
            24164369,
            50130116,
            5973149,
            24152073,
            1577334,
            25400030,
            18648484,
            32228854,
        ),
    ])),
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            49518649,
            59119280,
            31670678,
            20396561,
            61728330,
            651402,
            176032,
            9529498,
        ),
        u32x8::new(
            61765532,
            9082232,
            32794568,
            15526956,
            48543100,
            32614212,
            19001206,
            25680229,
        ),
        u32x8::new(
            32086091,
            10373081,
            8996131,
            31822823,
            35788988,
            49973190,
            30542040,
            17858455,
        ),
        u32x8::new(
            48130197,
            58121889,
            27753291,
            29923268,
            54448075,
            43300790,
            9336565,
            15770022,
        ),
        u32x8::new(
            57725546,
            20557498,
            9366233,
            16023566,
            16189031,
            2837363,
            24315301,
            27003505,
        ),
    ])),
    CachedPoint(FieldElement2625x4([
        u32x8::new(
            28286608,
            10767548,
            18220739,
            5413236,
            48253387,
            58255702,
            11864864,
            28527159,
        ),
        u32x8::new(
            45038176,
            58655197,
            25648758,
            10951484,
            42564382,
            34542843,
            23146954,
            22234334,
        ),
        u32x8::new(
            14858710,
            24978793,
            15040559,
            4379220,
            47621477,
            40271440,
            15650420,
            1998736,
        ),
        u32x8::new(
            24106391,
            9626149,
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    CachedPoint(FieldElement2625x4([
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        ),
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    ])),
]);