concrete-core 0.1.6

#![allow(clippy::excessive_precision, clippy::approx_constant)]

use fftw::types::*;

use super::Complex64;
use crate::math::tensor::Tensor;
use crate::tensor_traits;

/// Correcting factors for the forward transform.
pub struct ForwardCorrector<Cont> {
    tensor: Tensor<Cont>,
}

tensor_traits!(ForwardCorrector);

/// Correcting factors for the backward transform.
pub struct BackwardCorrector<Cont> {
    tensor: Tensor<Cont>,
}

tensor_traits!(BackwardCorrector);

/// A set of correcting factors allowing to perform the product modulo $(X^N+1)$ with fftw.
pub struct Correctors {
    pub forward: ForwardCorrector<&'static [Complex64]>,
    pub backward: BackwardCorrector<&'static [Complex64]>,
}

impl Correctors {
    pub fn new(big_n: usize) -> Correctors {
        let (forward, backward) = match big_n {
            256 => (&TWIDDLES_256[0..256], &INVERSE_TWIDDLES_256[0..256]),
            512 => (&TWIDDLES_512[0..512], &INVERSE_TWIDDLES_512[0..512]),
            1024 => (&TWIDDLES_1024[0..1024], &INVERSE_TWIDDLES_1024[0..1024]),
            2048 => (&TWIDDLES_2048[0..2048], &INVERSE_TWIDDLES_2048[0..2048]),
            4096 => (&TWIDDLES_4096[0..4096], &INVERSE_TWIDDLES_4096[0..4096]),
            _ => panic!("Wrong big_n when constructing corrector factors"),
        };
        Correctors {
            forward: ForwardCorrector {
                tensor: Tensor::from_container(forward),
            },
            backward: BackwardCorrector {
                tensor: Tensor::from_container(backward),
            },
        }
    }
}

static TWIDDLES_256: [c64; 256] = [
    c64::new(1.0, 0.0),
    c64::new(0.9999247018391445, 0.012271538285719925),
    c64::new(0.9996988186962042, 0.024541228522912288),
    c64::new(0.9993223845883495, 0.03680722294135883),
    c64::new(0.9987954562051724, 0.049067674327418015),
    c64::new(0.9981181129001492, 0.06132073630220858),
    c64::new(0.9972904566786902, 0.07356456359966743),
    c64::new(0.996312612182778, 0.0857973123444399),
    c64::new(0.9951847266721969, 0.0980171403295606),
    c64::new(0.9939069700023561, 0.11022220729388306),
    c64::new(0.99247953459871, 0.1224106751992162),
    c64::new(0.99090263542778, 0.13458070850712617),
    c64::new(0.989176509964781, 0.14673047445536175),
    c64::new(0.9873014181578584, 0.15885814333386145),
    c64::new(0.9852776423889412, 0.17096188876030122),
    c64::new(0.9831054874312163, 0.18303988795514095),
    c64::new(0.9807852804032304, 0.19509032201612825),
    c64::new(0.9783173707196277, 0.20711137619221856),
    c64::new(0.9757021300385286, 0.2191012401568698),
    c64::new(0.9729399522055602, 0.2310581082806711),
    c64::new(0.970031253194544, 0.24298017990326387),
    c64::new(0.9669764710448521, 0.25486565960451457),
    c64::new(0.9637760657954398, 0.26671275747489837),
    c64::new(0.9604305194155658, 0.27851968938505306),
    c64::new(0.9569403357322088, 0.29028467725446233),
    c64::new(0.9533060403541939, 0.3020059493192281),
    c64::new(0.9495281805930367, 0.3136817403988915),
    c64::new(0.9456073253805213, 0.3253102921622629),
    c64::new(0.9415440651830208, 0.33688985339222005),
    c64::new(0.937339011912575, 0.34841868024943456),
    c64::new(0.932992798834739, 0.3598950365349881),
    c64::new(0.9285060804732156, 0.37131719395183754),
    c64::new(0.9238795325112867, 0.3826834323650898),
    c64::new(0.9191138516900578, 0.3939920400610481),
    c64::new(0.9142097557035307, 0.40524131400498986),
    c64::new(0.9091679830905224, 0.41642956009763715),
    c64::new(0.9039892931234433, 0.4275550934302821),
    c64::new(0.8986744656939538, 0.43861623853852766),
    c64::new(0.8932243011955153, 0.44961132965460654),
    c64::new(0.8876396204028539, 0.46053871095824),
    c64::new(0.881921264348355, 0.47139673682599764),
    c64::new(0.8760700941954066, 0.4821837720791227),
    c64::new(0.8700869911087115, 0.49289819222978404),
    c64::new(0.8639728561215867, 0.5035383837257176),
    c64::new(0.8577286100002721, 0.5141027441932217),
    c64::new(0.8513551931052652, 0.524589682678469),
    c64::new(0.8448535652497071, 0.5349976198870972),
    c64::new(0.838224705554838, 0.5453249884220465),
    c64::new(0.8314696123025452, 0.5555702330196022),
    c64::new(0.8245893027850253, 0.5657318107836131),
    c64::new(0.8175848131515837, 0.5758081914178453),
    c64::new(0.8104571982525948, 0.5857978574564389),
    c64::new(0.8032075314806449, 0.5956993044924334),
    c64::new(0.7958369046088836, 0.6055110414043255),
    c64::new(0.7883464276266063, 0.6152315905806268),
    c64::new(0.7807372285720945, 0.6248594881423863),
    c64::new(0.773010453362737, 0.6343932841636455),
    c64::new(0.765167265622459, 0.6438315428897914),
    c64::new(0.7572088465064846, 0.6531728429537768),
    c64::new(0.7491363945234594, 0.6624157775901718),
    c64::new(0.7409511253549592, 0.6715589548470183),
    c64::new(0.7326542716724128, 0.680600997795453),
    c64::new(0.724247082951467, 0.6895405447370668),
    c64::new(0.7157308252838186, 0.6983762494089729),
    c64::new(0.7071067811865476, 0.7071067811865475),
    c64::new(0.6983762494089729, 0.7157308252838186),
    c64::new(0.6895405447370669, 0.7242470829514669),
    c64::new(0.6806009977954531, 0.7326542716724127),
    c64::new(0.6715589548470184, 0.740951125354959),
    c64::new(0.6624157775901718, 0.7491363945234593),
    c64::new(0.6531728429537769, 0.7572088465064845),
    c64::new(0.6438315428897915, 0.7651672656224588),
    c64::new(0.6343932841636456, 0.7730104533627369),
    c64::new(0.6248594881423865, 0.7807372285720944),
    c64::new(0.6152315905806269, 0.7883464276266062),
    c64::new(0.6055110414043255, 0.7958369046088835),
    c64::new(0.5956993044924335, 0.8032075314806448),
    c64::new(0.5857978574564389, 0.8104571982525948),
    c64::new(0.5758081914178454, 0.8175848131515837),
    c64::new(0.5657318107836132, 0.8245893027850253),
    c64::new(0.5555702330196023, 0.8314696123025451),
    c64::new(0.5453249884220466, 0.838224705554838),
    c64::new(0.5349976198870974, 0.844853565249707),
    c64::new(0.524589682678469, 0.8513551931052652),
    c64::new(0.5141027441932218, 0.8577286100002721),
    c64::new(0.5035383837257176, 0.8639728561215867),
    c64::new(0.49289819222978415, 0.8700869911087113),
    c64::new(0.4821837720791229, 0.8760700941954065),
    c64::new(0.4713967368259978, 0.8819212643483549),
    c64::new(0.46053871095824, 0.8876396204028539),
    c64::new(0.4496113296546066, 0.8932243011955153),
    c64::new(0.4386162385385277, 0.8986744656939538),
    c64::new(0.4275550934302822, 0.9039892931234433),
    c64::new(0.4164295600976373, 0.9091679830905224),
    c64::new(0.4052413140049898, 0.9142097557035307),
    c64::new(0.3939920400610481, 0.9191138516900578),
    c64::new(0.38268343236508984, 0.9238795325112867),
    c64::new(0.3713171939518376, 0.9285060804732155),
    c64::new(0.3598950365349883, 0.9329927988347388),
    c64::new(0.3484186802494345, 0.937339011912575),
    c64::new(0.33688985339222005, 0.9415440651830208),
    c64::new(0.325310292162263, 0.9456073253805213),
    c64::new(0.3136817403988915, 0.9495281805930367),
    c64::new(0.3020059493192282, 0.9533060403541938),
    c64::new(0.2902846772544623, 0.9569403357322089),
    c64::new(0.27851968938505306, 0.9604305194155658),
    c64::new(0.2667127574748984, 0.9637760657954398),
    c64::new(0.2548656596045146, 0.9669764710448521),
    c64::new(0.24298017990326398, 0.970031253194544),
    c64::new(0.23105810828067125, 0.9729399522055601),
    c64::new(0.21910124015686977, 0.9757021300385286),
    c64::new(0.20711137619221856, 0.9783173707196277),
    c64::new(0.1950903220161283, 0.9807852804032304),
    c64::new(0.18303988795514103, 0.9831054874312163),
    c64::new(0.17096188876030136, 0.9852776423889412),
    c64::new(0.1588581433338614, 0.9873014181578584),
    c64::new(0.14673047445536175, 0.989176509964781),
    c64::new(0.13458070850712622, 0.99090263542778),
    c64::new(0.12241067519921628, 0.99247953459871),
    c64::new(0.11022220729388318, 0.9939069700023561),
    c64::new(0.09801714032956077, 0.9951847266721968),
    c64::new(0.08579731234443988, 0.996312612182778),
    c64::new(0.07356456359966745, 0.9972904566786902),
    c64::new(0.061320736302208655, 0.9981181129001492),
    c64::new(0.04906767432741813, 0.9987954562051724),
    c64::new(0.03680722294135899, 0.9993223845883495),
    c64::new(0.024541228522912267, 0.9996988186962042),
    c64::new(0.012271538285719944, 0.9999247018391445),
    c64::new(6.123233995736766e-17, 1.0),
    c64::new(-0.012271538285719823, 0.9999247018391445),
    c64::new(-0.024541228522912142, 0.9996988186962042),
    c64::new(-0.036807222941358866, 0.9993223845883495),
    c64::new(-0.04906767432741801, 0.9987954562051724),
    c64::new(-0.06132073630220853, 0.9981181129001492),
    c64::new(-0.07356456359966734, 0.9972904566786902),
    c64::new(-0.08579731234443977, 0.996312612182778),
    c64::new(-0.09801714032956066, 0.9951847266721969),
    c64::new(-0.11022220729388307, 0.9939069700023561),
    c64::new(-0.12241067519921617, 0.99247953459871),
    c64::new(-0.1345807085071261, 0.99090263542778),
    c64::new(-0.14673047445536164, 0.989176509964781),
    c64::new(-0.15885814333386128, 0.9873014181578584),
    c64::new(-0.17096188876030124, 0.9852776423889412),
    c64::new(-0.18303988795514095, 0.9831054874312163),
    c64::new(-0.1950903220161282, 0.9807852804032304),
    c64::new(-0.20711137619221845, 0.9783173707196277),
    c64::new(-0.21910124015686966, 0.9757021300385286),
    c64::new(-0.23105810828067117, 0.9729399522055602),
    c64::new(-0.24298017990326387, 0.970031253194544),
    c64::new(-0.2548656596045145, 0.9669764710448521),
    c64::new(-0.2667127574748983, 0.9637760657954398),
    c64::new(-0.27851968938505295, 0.9604305194155659),
    c64::new(-0.2902846772544622, 0.9569403357322089),
    c64::new(-0.3020059493192281, 0.9533060403541939),
    c64::new(-0.31368174039889146, 0.9495281805930367),
    c64::new(-0.32531029216226287, 0.9456073253805214),
    c64::new(-0.33688985339221994, 0.9415440651830208),
    c64::new(-0.3484186802494344, 0.937339011912575),
    c64::new(-0.35989503653498817, 0.9329927988347388),
    c64::new(-0.37131719395183754, 0.9285060804732156),
    c64::new(-0.3826834323650897, 0.9238795325112867),
    c64::new(-0.393992040061048, 0.9191138516900578),
    c64::new(-0.40524131400498975, 0.9142097557035307),
    c64::new(-0.416429560097637, 0.9091679830905225),
    c64::new(-0.42755509343028186, 0.9039892931234434),
    c64::new(-0.4386162385385274, 0.8986744656939539),
    c64::new(-0.4496113296546067, 0.8932243011955152),
    c64::new(-0.4605387109582401, 0.8876396204028539),
    c64::new(-0.4713967368259977, 0.881921264348355),
    c64::new(-0.4821837720791227, 0.8760700941954066),
    c64::new(-0.4928981922297839, 0.8700869911087115),
    c64::new(-0.5035383837257175, 0.8639728561215868),
    c64::new(-0.5141027441932216, 0.8577286100002721),
    c64::new(-0.5245896826784687, 0.8513551931052652),
    c64::new(-0.5349976198870969, 0.8448535652497072),
    c64::new(-0.5453249884220461, 0.8382247055548382),
    c64::new(-0.555570233019602, 0.8314696123025455),
    c64::new(-0.5657318107836132, 0.8245893027850253),
    c64::new(-0.5758081914178453, 0.8175848131515837),
    c64::new(-0.5857978574564389, 0.8104571982525948),
    c64::new(-0.5956993044924332, 0.8032075314806449),
    c64::new(-0.6055110414043254, 0.7958369046088836),
    c64::new(-0.6152315905806267, 0.7883464276266063),
    c64::new(-0.6248594881423862, 0.7807372285720946),
    c64::new(-0.6343932841636453, 0.7730104533627371),
    c64::new(-0.6438315428897913, 0.7651672656224591),
    c64::new(-0.6531728429537765, 0.7572088465064848),
    c64::new(-0.6624157775901718, 0.7491363945234593),
    c64::new(-0.6715589548470184, 0.740951125354959),
    c64::new(-0.680600997795453, 0.7326542716724128),
    c64::new(-0.6895405447370668, 0.724247082951467),
    c64::new(-0.6983762494089728, 0.7157308252838187),
    c64::new(-0.7071067811865475, 0.7071067811865476),
    c64::new(-0.7157308252838186, 0.6983762494089729),
    c64::new(-0.7242470829514669, 0.689540544737067),
    c64::new(-0.7326542716724127, 0.6806009977954532),
    c64::new(-0.7409511253549589, 0.6715589548470186),
    c64::new(-0.749136394523459, 0.662415777590172),
    c64::new(-0.7572088465064847, 0.6531728429537766),
    c64::new(-0.765167265622459, 0.6438315428897914),
    c64::new(-0.773010453362737, 0.6343932841636455),
    c64::new(-0.7807372285720945, 0.6248594881423863),
    c64::new(-0.7883464276266062, 0.6152315905806269),
    c64::new(-0.7958369046088835, 0.6055110414043255),
    c64::new(-0.8032075314806448, 0.5956993044924335),
    c64::new(-0.8104571982525947, 0.585797857456439),
    c64::new(-0.8175848131515836, 0.5758081914178454),
    c64::new(-0.8245893027850251, 0.5657318107836135),
    c64::new(-0.8314696123025453, 0.5555702330196022),
    c64::new(-0.8382247055548381, 0.5453249884220464),
    c64::new(-0.8448535652497071, 0.5349976198870972),
    c64::new(-0.8513551931052652, 0.524589682678469),
    c64::new(-0.8577286100002721, 0.5141027441932218),
    c64::new(-0.8639728561215867, 0.5035383837257176),
    c64::new(-0.8700869911087113, 0.49289819222978415),
    c64::new(-0.8760700941954065, 0.4821837720791229),
    c64::new(-0.8819212643483549, 0.4713967368259978),
    c64::new(-0.8876396204028538, 0.4605387109582402),
    c64::new(-0.8932243011955152, 0.4496113296546069),
    c64::new(-0.8986744656939539, 0.43861623853852755),
    c64::new(-0.9039892931234433, 0.42755509343028203),
    c64::new(-0.9091679830905224, 0.41642956009763715),
    c64::new(-0.9142097557035307, 0.40524131400498986),
    c64::new(-0.9191138516900578, 0.39399204006104815),
    c64::new(-0.9238795325112867, 0.38268343236508984),
    c64::new(-0.9285060804732155, 0.37131719395183765),
    c64::new(-0.9329927988347388, 0.35989503653498833),
    c64::new(-0.9373390119125748, 0.3484186802494348),
    c64::new(-0.9415440651830207, 0.3368898533922203),
    c64::new(-0.9456073253805213, 0.3253102921622632),
    c64::new(-0.9495281805930367, 0.3136817403988914),
    c64::new(-0.9533060403541939, 0.30200594931922803),
    c64::new(-0.9569403357322088, 0.29028467725446233),
    c64::new(-0.9604305194155658, 0.2785196893850531),
    c64::new(-0.9637760657954398, 0.2667127574748985),
    c64::new(-0.9669764710448521, 0.2548656596045147),
    c64::new(-0.970031253194544, 0.24298017990326404),
    c64::new(-0.9729399522055601, 0.2310581082806713),
    c64::new(-0.9757021300385285, 0.21910124015687002),
    c64::new(-0.9783173707196275, 0.20711137619221884),
    c64::new(-0.9807852804032304, 0.19509032201612858),
    c64::new(-0.9831054874312164, 0.1830398879551409),
    c64::new(-0.9852776423889412, 0.1709618887603012),
    c64::new(-0.9873014181578584, 0.15885814333386145),
    c64::new(-0.989176509964781, 0.1467304744553618),
    c64::new(-0.99090263542778, 0.13458070850712628),
    c64::new(-0.99247953459871, 0.12241067519921635),
    c64::new(-0.9939069700023561, 0.11022220729388325),
    c64::new(-0.9951847266721968, 0.09801714032956084),
    c64::new(-0.996312612182778, 0.08579731234444016),
    c64::new(-0.9972904566786902, 0.07356456359966775),
    c64::new(-0.9981181129001492, 0.061320736302208495),
    c64::new(-0.9987954562051724, 0.04906767432741797),
    c64::new(-0.9993223845883495, 0.03680722294135883),
    c64::new(-0.9996988186962042, 0.024541228522912326),
    c64::new(-0.9999247018391445, 0.012271538285720007),
];

static INVERSE_TWIDDLES_256: [c64; 256] = [
    c64::new(0.00390625, -0.0),
    c64::new(0.003905955866559158, -4.793569642859346e-05),
    c64::new(0.003905073510532048, -9.586417391762613e-05),
    c64::new(0.0039036030647982404, -0.00014377821461468294),
    c64::new(0.0039015447508014547, -0.00019167060284147662),
    c64::new(0.0038988988785162077, -0.00023953412618050226),
    c64::new(0.0038956658464011336, -0.0002873615765612009),
    c64::new(0.0038918461413389766, -0.00033514575134546834),
    c64::new(0.0038874403385632693, -0.0003828794544123461),
    c64::new(0.0038824491015717034, -0.0004305554972417307),
    c64::new(0.003876873182026211, -0.00047816669999693826),
    c64::new(0.0038707134196397657, -0.0005257058926059616),
    c64::new(0.003863970742049926, -0.0005731659158412568),
    c64::new(0.0038566461646791345, -0.0006205396223978963),
    c64::new(0.0038487407905818016, -0.0006678198779699266),
    c64::new(0.0038402558102781886, -0.0007149995623247693),
    c64::new(0.003831192501575119, -0.000762071570375501),
    c64::new(0.0038215522293735455, -0.0008090288132508538),
    c64::new(0.0038113364454630022, -0.0008558642193627726),
    c64::new(0.0038005466883029694, -0.0009025707354713715),
    c64::new(0.0037891845827911874, -0.0009491413277471245),
    c64::new(0.0037772518400189534, -0.000995568982830135),
    c64::new(0.003764750257013437, -0.0010418467088863217),
    c64::new(0.003751681716467054, -0.0010879675366603635),
    c64::new(0.0037380481864539407, -0.0011339245205252435),
    c64::new(0.0037238517201335698, -0.0011797107395282347),
    c64::new(0.0037090944554415495, -0.00122531929843317),
    c64::new(0.0036937786147676612, -0.0012707433287588396),
    c64::new(0.003677906504621175, -0.0013159759898133596),
    c64::new(0.003661480515283496, -0.0013610104697243538),
    c64::new(0.003644503120448199, -0.0014058399864647973),
    c64::new(0.0036269768768484984, -0.0014504577888743654),
    c64::new(0.003608904423872214, -0.001494857157676132),
    c64::new(0.003590288483164288, -0.0015390314064884691),
    c64::new(0.0035711318582169168, -0.0015829738828319916),
    c64::new(0.003551437433947353, -0.0016266779691313951),
    c64::new(0.0035312081762634505, -0.0016701370837120394),
    c64::new(0.003510447131617007, -0.0017133446817911237),
    c64::new(0.0034891574265449817, -0.0017562942564633068),
    c64::new(0.003467342267198648, -0.001798979339680625),
    c64::new(0.003445004938860762, -0.0018413935032265533),
    c64::new(0.003422148805450807, -0.0018835303596840731),
    c64::new(0.003398777309018404, -0.001925383563397594),
    c64::new(0.003374893969224948, -0.0019669468114285843),
    c64::new(0.003350502382813563, -0.002008213844504772),
    c64::new(0.003325606223067442, -0.0020491784479627693),
    c64::new(0.0033002092392566684, -0.0020898344526839733),
    c64::new(0.003274315256073586, -0.002130175736023619),
    c64::new(0.0032479281730568173, -0.002170196222732821),
    c64::new(0.003221051964004005, -0.0022098898858734888),
    c64::new(0.003193690676373374, -0.0022492507477259584),
    c64::new(0.0031658484306741983, -0.0022882728806892143),
    c64::new(0.0031375294198462693, -0.002326950408173568),
    c64::new(0.0031087379086284514, -0.0023652775054856467),
    c64::new(0.003079478232916431, -0.0024032484007055735),
    c64::new(0.003049754799109744, -0.0024408573755561967),
    c64::new(0.0030195720834481914, -0.00247809876626424),
    c64::new(0.0029889346313377303, -0.0025149669644132476),
    c64::new(0.0029578470566659553, -0.0025514564177881905),
    c64::new(0.002926314041107263, -0.0025875616312116085),
    c64::new(0.0028943403334178094, -0.0026232771673711654),
    c64::new(0.0028619307487203626, -0.0026585976476384884),
    c64::new(0.002829090167779168, -0.0026935177528791673),
    c64::new(0.0027958235362649164, -0.0027280322242538005),
    c64::new(0.0027621358640099515, -0.002762135864009951),
    c64::new(0.0027280322242538005, -0.0027958235362649164),
    c64::new(0.0026935177528791677, -0.0028290901677791675),
    c64::new(0.002658597647638489, -0.002861930748720362),
    c64::new(0.002623277167371166, -0.0028943403334178086),
    c64::new(0.0025875616312116085, -0.0029263140411072627),
    c64::new(0.002551456417788191, -0.002957847056665955),
    c64::new(0.002514966964413248, -0.00298893463133773),
    c64::new(0.0024780987662642406, -0.003019572083448191),
    c64::new(0.002440857375556197, -0.0030497547991097437),
    c64::new(0.002403248400705574, -0.0030794782329164306),
    c64::new(0.0023652775054856467, -0.003108737908628451),
    c64::new(0.0023269504081735682, -0.003137529419846269),
    c64::new(0.0022882728806892143, -0.0031658484306741983),
    c64::new(0.002249250747725959, -0.003193690676373374),
    c64::new(0.002209889885873489, -0.003221051964004005),
    c64::new(0.0021701962227328214, -0.003247928173056817),
    c64::new(0.0021301757360236194, -0.003274315256073586),
    c64::new(0.002089834452683974, -0.003300209239256668),
    c64::new(0.0020491784479627693, -0.003325606223067442),
    c64::new(0.0020082138445047725, -0.003350502382813563),
    c64::new(0.0019669468114285843, -0.003374893969224948),
    c64::new(0.0019253835633975943, -0.0033987773090184037),
    c64::new(0.0018835303596840738, -0.0034221488054508066),
    c64::new(0.001841393503226554, -0.0034450049388607615),
    c64::new(0.001798979339680625, -0.003467342267198648),
    c64::new(0.001756294256463307, -0.0034891574265449817),
    c64::new(0.0017133446817911239, -0.003510447131617007),
    c64::new(0.0016701370837120398, -0.0035312081762634505),
    c64::new(0.0016266779691313958, -0.003551437433947353),
    c64::new(0.0015829738828319914, -0.0035711318582169168),
    c64::new(0.0015390314064884691, -0.003590288483164288),
    c64::new(0.0014948571576761322, -0.003608904423872214),
    c64::new(0.0014504577888743656, -0.003626976876848498),
    c64::new(0.001405839986464798, -0.0036445031204481986),
    c64::new(0.0013610104697243536, -0.003661480515283496),
    c64::new(0.0013159759898133596, -0.003677906504621175),
    c64::new(0.0012707433287588398, -0.0036937786147676612),
    c64::new(0.00122531929843317, -0.0037090944554415495),
    c64::new(0.0011797107395282351, -0.0037238517201335693),
    c64::new(0.0011339245205252433, -0.003738048186453941),
    c64::new(0.0010879675366603635, -0.003751681716467054),
    c64::new(0.001041846708886322, -0.003764750257013437),
    c64::new(0.0009955689828301353, -0.0037772518400189534),
    c64::new(0.0009491413277471249, -0.0037891845827911874),
    c64::new(0.0009025707354713721, -0.003800546688302969),
    c64::new(0.0008558642193627725, -0.0038113364454630022),
    c64::new(0.0008090288132508538, -0.0038215522293735455),
    c64::new(0.0007620715703755012, -0.003831192501575119),
    c64::new(0.0007149995623247697, -0.0038402558102781886),
    c64::new(0.0006678198779699272, -0.0038487407905818016),
    c64::new(0.0006205396223978961, -0.0038566461646791345),
    c64::new(0.0005731659158412568, -0.003863970742049926),
    c64::new(0.0005257058926059618, -0.0038707134196397657),
    c64::new(0.0004781666999969386, -0.003876873182026211),
    c64::new(0.0004305554972417312, -0.0038824491015717034),
    c64::new(0.00038287945441234676, -0.003887440338563269),
    c64::new(0.0003351457513454683, -0.0038918461413389766),
    c64::new(0.000287361576561201, -0.0038956658464011336),
    c64::new(0.00023953412618050256, -0.0038988988785162077),
    c64::new(0.00019167060284147708, -0.0039015447508014547),
    c64::new(0.00014377821461468356, -0.0039036030647982404),
    c64::new(9.586417391762604e-05, -0.003905073510532048),
    c64::new(4.793569642859353e-05, -0.003905955866559158),
    c64::new(2.391888279584674e-19, -0.00390625),
    c64::new(-4.793569642859306e-05, -0.003905955866559158),
    c64::new(-9.586417391762556e-05, -0.003905073510532048),
    c64::new(-0.00014377821461468307, -0.0039036030647982404),
    c64::new(-0.0001916706028414766, -0.0039015447508014547),
    c64::new(-0.00023953412618050207, -0.0038988988785162077),
    c64::new(-0.00028736157656120056, -0.0038956658464011336),
    c64::new(-0.00033514575134546785, -0.0038918461413389766),
    c64::new(-0.0003828794544123463, -0.0038874403385632693),
    c64::new(-0.00043055549724173075, -0.0038824491015717034),
    c64::new(-0.00047816669999693816, -0.003876873182026211),
    c64::new(-0.0005257058926059614, -0.0038707134196397657),
    c64::new(-0.0005731659158412564, -0.003863970742049926),
    c64::new(-0.0006205396223978956, -0.0038566461646791345),
    c64::new(-0.0006678198779699267, -0.0038487407905818016),
    c64::new(-0.0007149995623247693, -0.0038402558102781886),
    c64::new(-0.0007620715703755008, -0.003831192501575119),
    c64::new(-0.0008090288132508533, -0.0038215522293735455),
    c64::new(-0.0008558642193627721, -0.0038113364454630022),
    c64::new(-0.0009025707354713717, -0.0038005466883029694),
    c64::new(-0.0009491413277471245, -0.0037891845827911874),
    c64::new(-0.0009955689828301348, -0.0037772518400189534),
    c64::new(-0.0010418467088863215, -0.003764750257013437),
    c64::new(-0.001087967536660363, -0.0037516817164670543),
    c64::new(-0.001133924520525243, -0.003738048186453941),
    c64::new(-0.0011797107395282347, -0.0037238517201335698),
    c64::new(-0.0012253192984331698, -0.0037090944554415495),
    c64::new(-0.0012707433287588393, -0.0036937786147676617),
    c64::new(-0.0013159759898133591, -0.003677906504621175),
    c64::new(-0.0013610104697243531, -0.003661480515283496),
    c64::new(-0.0014058399864647975, -0.0036445031204481986),
    c64::new(-0.0014504577888743654, -0.0036269768768484984),
    c64::new(-0.0014948571576761317, -0.003608904423872214),
    c64::new(-0.0015390314064884687, -0.003590288483164288),
    c64::new(-0.0015829738828319912, -0.0035711318582169168),
    c64::new(-0.0016266779691313945, -0.0035514374339473535),
    c64::new(-0.0016701370837120385, -0.003531208176263451),
    c64::new(-0.0017133446817911226, -0.0035104471316170075),
    c64::new(-0.0017562942564633074, -0.0034891574265449813),
    c64::new(-0.0017989793396806255, -0.003467342267198648),
    c64::new(-0.0018413935032265535, -0.003445004938860762),
    c64::new(-0.0018835303596840731, -0.003422148805450807),
    c64::new(-0.0019253835633975935, -0.003398777309018404),
    c64::new(-0.001966946811428584, -0.0033748939692249485),
    c64::new(-0.0020082138445047717, -0.003350502382813563),
    c64::new(-0.0020491784479627685, -0.003325606223067442),
    c64::new(-0.0020898344526839724, -0.003300209239256669),
    c64::new(-0.0021301757360236177, -0.0032743152560735867),
    c64::new(-0.00217019622273282, -0.003247928173056818),
    c64::new(-0.002209889885873489, -0.003221051964004005),
    c64::new(-0.0022492507477259584, -0.003193690676373374),
    c64::new(-0.0022882728806892143, -0.0031658484306741983),
    c64::new(-0.0023269504081735674, -0.0031375294198462693),
    c64::new(-0.0023652775054856462, -0.0031087379086284514),
    c64::new(-0.002403248400705573, -0.003079478232916431),
    c64::new(-0.0024408573755561962, -0.0030497547991097445),
    c64::new(-0.0024780987662642393, -0.003019572083448192),
    c64::new(-0.002514966964413247, -0.0029889346313377307),
    c64::new(-0.0025514564177881896, -0.002957847056665956),
    c64::new(-0.0025875616312116085, -0.0029263140411072627),
    c64::new(-0.002623277167371166, -0.0028943403334178086),
    c64::new(-0.0026585976476384884, -0.0028619307487203626),
    c64::new(-0.0026935177528791673, -0.002829090167779168),
    c64::new(-0.0027280322242538, -0.002795823536264917),
    c64::new(-0.002762135864009951, -0.0027621358640099515),
    c64::new(-0.0027958235362649164, -0.0027280322242538005),
    c64::new(-0.0028290901677791675, -0.002693517752879168),
    c64::new(-0.002861930748720362, -0.0026585976476384892),
    c64::new(-0.002894340333417808, -0.0026232771673711662),
    c64::new(-0.002926314041107262, -0.0025875616312116094),
    c64::new(-0.0029578470566659558, -0.00255145641778819),
    c64::new(-0.0029889346313377303, -0.0025149669644132476),
    c64::new(-0.0030195720834481914, -0.00247809876626424),
    c64::new(-0.003049754799109744, -0.0024408573755561967),
    c64::new(-0.0030794782329164306, -0.002403248400705574),
    c64::new(-0.003108737908628451, -0.0023652775054856467),
    c64::new(-0.003137529419846269, -0.0023269504081735682),
    c64::new(-0.003165848430674198, -0.0022882728806892147),
    c64::new(-0.0031936906763733734, -0.002249250747725959),
    c64::new(-0.003221051964004004, -0.00220988988587349),
    c64::new(-0.0032479281730568178, -0.002170196222732821),
    c64::new(-0.0032743152560735862, -0.0021301757360236186),
    c64::new(-0.0033002092392566684, -0.0020898344526839733),
    c64::new(-0.003325606223067442, -0.0020491784479627693),
    c64::new(-0.003350502382813563, -0.0020082138445047725),
    c64::new(-0.003374893969224948, -0.0019669468114285843),
    c64::new(-0.0033987773090184037, -0.0019253835633975943),
    c64::new(-0.0034221488054508066, -0.0018835303596840738),
    c64::new(-0.0034450049388607615, -0.001841393503226554),
    c64::new(-0.0034673422671986477, -0.0017989793396806259),
    c64::new(-0.0034891574265449813, -0.001756294256463308),
    c64::new(-0.0035104471316170075, -0.0017133446817911232),
    c64::new(-0.0035312081762634505, -0.0016701370837120392),
    c64::new(-0.003551437433947353, -0.0016266779691313951),
    c64::new(-0.0035711318582169168, -0.0015829738828319916),
    c64::new(-0.003590288483164288, -0.0015390314064884694),
    c64::new(-0.003608904423872214, -0.0014948571576761322),
    c64::new(-0.003626976876848498, -0.0014504577888743658),
    c64::new(-0.0036445031204481986, -0.0014058399864647982),
    c64::new(-0.0036614805152834955, -0.0013610104697243546),
    c64::new(-0.0036779065046211746, -0.0013159759898133604),
    c64::new(-0.0036937786147676612, -0.0012707433287588406),
    c64::new(-0.0037090944554415495, -0.0012253192984331696),
    c64::new(-0.0037238517201335698, -0.0011797107395282345),
    c64::new(-0.0037380481864539407, -0.0011339245205252435),
    c64::new(-0.003751681716467054, -0.0010879675366603637),
    c64::new(-0.003764750257013437, -0.0010418467088863222),
    c64::new(-0.0037772518400189534, -0.0009955689828301355),
    c64::new(-0.0037891845827911874, -0.0009491413277471251),
    c64::new(-0.003800546688302969, -0.0009025707354713723),
    c64::new(-0.003811336445463002, -0.0008558642193627735),
    c64::new(-0.003821552229373545, -0.0008090288132508548),
    c64::new(-0.003831192501575119, -0.0007620715703755023),
    c64::new(-0.003840255810278189, -0.0007149995623247691),
    c64::new(-0.0038487407905818016, -0.0006678198779699265),
    c64::new(-0.0038566461646791345, -0.0006205396223978963),
    c64::new(-0.003863970742049926, -0.000573165915841257),
    c64::new(-0.0038707134196397657, -0.000525705892605962),
    c64::new(-0.003876873182026211, -0.00047816669999693886),
    c64::new(-0.0038824491015717034, -0.00043055549724173146),
    c64::new(-0.003887440338563269, -0.00038287945441234703),
    c64::new(-0.0038918461413389766, -0.00033514575134546937),
    c64::new(-0.0038956658464011336, -0.00028736157656120213),
    c64::new(-0.0038988988785162077, -0.00023953412618050193),
    c64::new(-0.0039015447508014547, -0.00019167060284147646),
    c64::new(-0.0039036030647982404, -0.00014377821461468294),
    c64::new(-0.003905073510532048, -9.586417391762627e-05),
    c64::new(-0.003905955866559158, -4.793569642859378e-05),
];

static TWIDDLES_512: [c64; 512] = [
    c64::new(1.0, 0.0),
    c64::new(0.9999811752826011, 0.006135884649154475),
    c64::new(0.9999247018391445, 0.012271538285719925),
    c64::new(0.9998305817958234, 0.01840672990580482),
    c64::new(0.9996988186962042, 0.024541228522912288),
    c64::new(0.9995294175010931, 0.030674803176636626),
    c64::new(0.9993223845883495, 0.03680722294135883),
    c64::new(0.9990777277526454, 0.04293825693494082),
    c64::new(0.9987954562051724, 0.049067674327418015),
    c64::new(0.9984755805732948, 0.05519524434968994),
    c64::new(0.9981181129001492, 0.06132073630220858),
    c64::new(0.9977230666441916, 0.06744391956366405),
    c64::new(0.9972904566786902, 0.07356456359966743),
    c64::new(0.9968202992911657, 0.07968243797143013),
    c64::new(0.996312612182778, 0.0857973123444399),
    c64::new(0.9957674144676598, 0.09190895649713272),
    c64::new(0.9951847266721969, 0.0980171403295606),
    c64::new(0.9945645707342554, 0.10412163387205459),
    c64::new(0.9939069700023561, 0.11022220729388306),
    c64::new(0.9932119492347945, 0.11631863091190475),
    c64::new(0.99247953459871, 0.1224106751992162),
    c64::new(0.9917097536690995, 0.12849811079379317),
    c64::new(0.99090263542778, 0.13458070850712617),
    c64::new(0.9900582102622971, 0.1406582393328492),
    c64::new(0.989176509964781, 0.14673047445536175),
    c64::new(0.9882575677307495, 0.15279718525844344),
    c64::new(0.9873014181578584, 0.15885814333386145),
    c64::new(0.9863080972445987, 0.16491312048996992),
    c64::new(0.9852776423889412, 0.17096188876030122),
    c64::new(0.984210092386929, 0.17700422041214875),
    c64::new(0.9831054874312163, 0.18303988795514095),
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    c64::new(-0.416429560097637, 0.9091679830905225),
    c64::new(-0.4220002707997997, 0.9065957045149153),
    c64::new(-0.42755509343028186, 0.9039892931234434),
    c64::new(-0.43309381885315196, 0.901348847046022),
    c64::new(-0.4386162385385274, 0.8986744656939539),
    c64::new(-0.44412214457042914, 0.8959662497561852),
    c64::new(-0.4496113296546067, 0.8932243011955152),
    c64::new(-0.4550835871263437, 0.890448723244758),
    c64::new(-0.4605387109582401, 0.8876396204028539),
    c64::new(-0.465976495767966, 0.8847970984309379),
    c64::new(-0.4713967368259977, 0.881921264348355),
    c64::new(-0.476799230063322, 0.8790122264286335),
    c64::new(-0.4821837720791227, 0.8760700941954066),
    c64::new(-0.4875501601484357, 0.8730949784182902),
    c64::new(-0.4928981922297839, 0.8700869911087115),
    c64::new(-0.49822766697278154, 0.8670462455156929),
    c64::new(-0.5035383837257175, 0.8639728561215868),
    c64::new(-0.5088301425431071, 0.8608669386377672),
    c64::new(-0.5141027441932216, 0.8577286100002721),
    c64::new(-0.5193559901655896, 0.8545579883654005),
    c64::new(-0.5245896826784687, 0.8513551931052652),
    c64::new(-0.5298036246862946, 0.8481203448032972),
    c64::new(-0.5349976198870969, 0.8448535652497072),
    c64::new(-0.5401714727298929, 0.8415549774368984),
    c64::new(-0.5453249884220461, 0.8382247055548382),
    c64::new(-0.5504579729366047, 0.8348628749863801),
    c64::new(-0.555570233019602, 0.8314696123025455),
    c64::new(-0.5606615761973359, 0.8280450452577559),
    c64::new(-0.5657318107836132, 0.8245893027850253),
    c64::new(-0.5707807458869671, 0.8211025149911048),
    c64::new(-0.5758081914178453, 0.8175848131515837),
    c64::new(-0.5808139580957643, 0.8140363297059485),
    c64::new(-0.5857978574564389, 0.8104571982525948),
    c64::new(-0.590759701858874, 0.8068475535437994),
    c64::new(-0.5956993044924332, 0.8032075314806449),
    c64::new(-0.6006164793838686, 0.7995372691079052),
    c64::new(-0.6055110414043254, 0.7958369046088836),
    c64::new(-0.6103828062763095, 0.7921065773002123),
    c64::new(-0.6152315905806267, 0.7883464276266063),
    c64::new(-0.6200572117632892, 0.7845565971555752),
    c64::new(-0.6248594881423862, 0.7807372285720946),
    c64::new(-0.629638238914927, 0.7768884656732324),
    c64::new(-0.6343932841636453, 0.7730104533627371),
    c64::new(-0.6391244448637757, 0.7691033376455797),
    c64::new(-0.6438315428897913, 0.7651672656224591),
    c64::new(-0.6485144010221124, 0.7612023854842619),
    c64::new(-0.6531728429537765, 0.7572088465064848),
    c64::new(-0.6578066932970785, 0.7531867990436125),
    c64::new(-0.6624157775901718, 0.7491363945234593),
    c64::new(-0.6669999223036374, 0.7450577854414661),
    c64::new(-0.6715589548470184, 0.740951125354959),
    c64::new(-0.6760927035753158, 0.73681656887737),
    c64::new(-0.680600997795453, 0.7326542716724128),
    c64::new(-0.6850836677727002, 0.7284643904482253),
    c64::new(-0.6895405447370668, 0.724247082951467),
    c64::new(-0.6939714608896538, 0.7200025079613819),
    c64::new(-0.6983762494089728, 0.7157308252838187),
    c64::new(-0.7027547444572251, 0.7114321957452168),
    c64::new(-0.7071067811865475, 0.7071067811865476),
    c64::new(-0.7114321957452165, 0.7027547444572252),
    c64::new(-0.7157308252838186, 0.6983762494089729),
    c64::new(-0.7200025079613817, 0.6939714608896539),
    c64::new(-0.7242470829514669, 0.689540544737067),
    c64::new(-0.7284643904482252, 0.6850836677727004),
    c64::new(-0.7326542716724127, 0.6806009977954532),
    c64::new(-0.7368165688773698, 0.6760927035753159),
    c64::new(-0.7409511253549589, 0.6715589548470186),
    c64::new(-0.745057785441466, 0.6669999223036376),
    c64::new(-0.749136394523459, 0.662415777590172),
    c64::new(-0.7531867990436124, 0.6578066932970787),
    c64::new(-0.7572088465064847, 0.6531728429537766),
    c64::new(-0.7612023854842618, 0.6485144010221126),
    c64::new(-0.765167265622459, 0.6438315428897914),
    c64::new(-0.7691033376455796, 0.6391244448637758),
    c64::new(-0.773010453362737, 0.6343932841636455),
    c64::new(-0.7768884656732323, 0.6296382389149272),
    c64::new(-0.7807372285720945, 0.6248594881423863),
    c64::new(-0.7845565971555751, 0.6200572117632894),
    c64::new(-0.7883464276266062, 0.6152315905806269),
    c64::new(-0.7921065773002122, 0.6103828062763097),
    c64::new(-0.7958369046088835, 0.6055110414043255),
    c64::new(-0.799537269107905, 0.6006164793838689),
    c64::new(-0.8032075314806448, 0.5956993044924335),
    c64::new(-0.8068475535437993, 0.5907597018588742),
    c64::new(-0.8104571982525947, 0.585797857456439),
    c64::new(-0.8140363297059484, 0.5808139580957645),
    c64::new(-0.8175848131515836, 0.5758081914178454),
    c64::new(-0.8211025149911046, 0.5707807458869673),
    c64::new(-0.8245893027850251, 0.5657318107836135),
    c64::new(-0.8280450452577557, 0.560661576197336),
    c64::new(-0.8314696123025453, 0.5555702330196022),
    c64::new(-0.83486287498638, 0.5504579729366049),
    c64::new(-0.8382247055548381, 0.5453249884220464),
    c64::new(-0.8415549774368983, 0.540171472729893),
    c64::new(-0.8448535652497071, 0.5349976198870972),
    c64::new(-0.8481203448032971, 0.5298036246862948),
    c64::new(-0.8513551931052652, 0.524589682678469),
    c64::new(-0.8545579883654004, 0.5193559901655898),
    c64::new(-0.8577286100002721, 0.5141027441932218),
    c64::new(-0.8608669386377672, 0.5088301425431073),
    c64::new(-0.8639728561215867, 0.5035383837257176),
    c64::new(-0.8670462455156926, 0.49822766697278176),
    c64::new(-0.8700869911087113, 0.49289819222978415),
    c64::new(-0.8730949784182902, 0.4875501601484359),
    c64::new(-0.8760700941954065, 0.4821837720791229),
    c64::new(-0.8790122264286335, 0.4767992300633221),
    c64::new(-0.8819212643483549, 0.4713967368259978),
    c64::new(-0.8847970984309378, 0.4659764957679662),
    c64::new(-0.8876396204028538, 0.4605387109582402),
    c64::new(-0.8904487232447579, 0.4550835871263439),
    c64::new(-0.8932243011955152, 0.4496113296546069),
    c64::new(-0.8959662497561851, 0.4441221445704293),
    c64::new(-0.8986744656939539, 0.43861623853852755),
    c64::new(-0.9013488470460219, 0.43309381885315207),
    c64::new(-0.9039892931234433, 0.42755509343028203),
    c64::new(-0.9065957045149153, 0.42200027079979985),
    c64::new(-0.9091679830905224, 0.41642956009763715),
    c64::new(-0.9117060320054298, 0.41084317105790413),
    c64::new(-0.9142097557035307, 0.40524131400498986),
    c64::new(-0.9166790599210426, 0.39962419984564707),
    c64::new(-0.9191138516900578, 0.39399204006104815),
    c64::new(-0.9215140393420418, 0.3883450466988266),
    c64::new(-0.9238795325112867, 0.38268343236508984),
    c64::new(-0.9262102421383114, 0.37700741021641815),
    c64::new(-0.9285060804732155, 0.37131719395183765),
    c64::new(-0.9307669610789837, 0.3656129978047738),
    c64::new(-0.9329927988347388, 0.35989503653498833),
    c64::new(-0.9351835099389476, 0.35416352542049034),
    c64::new(-0.9373390119125748, 0.3484186802494348),
    c64::new(-0.9394592236021899, 0.34266071731199443),
    c64::new(-0.9415440651830207, 0.3368898533922203),
    c64::new(-0.9435934581619604, 0.3311063057598765),
    c64::new(-0.9456073253805213, 0.3253102921622632),
    c64::new(-0.9475855910177411, 0.3195020308160158),
    c64::new(-0.9495281805930367, 0.3136817403988914),
    c64::new(-0.9514350209690083, 0.30784964004153503),
    c64::new(-0.9533060403541939, 0.30200594931922803),
    c64::new(-0.9551411683057707, 0.296150888243624),
    c64::new(-0.9569403357322088, 0.29028467725446233),
    c64::new(-0.9587034748958715, 0.28440753721127204),
    c64::new(-0.9604305194155658, 0.2785196893850531),
    c64::new(-0.9621214042690416, 0.27262135544994925),
    c64::new(-0.9637760657954398, 0.2667127574748985),
    c64::new(-0.9653944416976893, 0.26079411791527585),
    c64::new(-0.9669764710448521, 0.2548656596045147),
    c64::new(-0.9685220942744174, 0.2489276057457201),
    c64::new(-0.970031253194544, 0.24298017990326404),
    c64::new(-0.9715038909862518, 0.23702360599436717),
    c64::new(-0.9729399522055601, 0.2310581082806713),
    c64::new(-0.9743393827855759, 0.22508391135979283),
    c64::new(-0.9757021300385285, 0.21910124015687002),
    c64::new(-0.9770281426577544, 0.21311031991609142),
    c64::new(-0.9783173707196275, 0.20711137619221884),
    c64::new(-0.9795697656854405, 0.20110463484209198),
    c64::new(-0.9807852804032304, 0.19509032201612858),
    c64::new(-0.9819638691095552, 0.18906866414980633),
    c64::new(-0.9831054874312164, 0.1830398879551409),
    c64::new(-0.984210092386929, 0.17700422041214892),
    c64::new(-0.9852776423889412, 0.1709618887603012),
    c64::new(-0.9863080972445986, 0.16491312048997012),
    c64::new(-0.9873014181578584, 0.15885814333386145),
    c64::new(-0.9882575677307495, 0.15279718525844369),
    c64::new(-0.989176509964781, 0.1467304744553618),
    c64::new(-0.990058210262297, 0.14065823933284952),
    c64::new(-0.99090263542778, 0.13458070850712628),
    c64::new(-0.9917097536690995, 0.12849811079379306),
    c64::new(-0.99247953459871, 0.12241067519921635),
    c64::new(-0.9932119492347945, 0.11631863091190471),
    c64::new(-0.9939069700023561, 0.11022220729388325),
    c64::new(-0.9945645707342554, 0.10412163387205457),
    c64::new(-0.9951847266721968, 0.09801714032956084),
    c64::new(-0.9957674144676598, 0.09190895649713277),
    c64::new(-0.996312612182778, 0.08579731234444016),
    c64::new(-0.9968202992911657, 0.0796824379714302),
    c64::new(-0.9972904566786902, 0.07356456359966775),
    c64::new(-0.9977230666441916, 0.06744391956366418),
    c64::new(-0.9981181129001492, 0.061320736302208495),
    c64::new(-0.9984755805732948, 0.055195244349690094),
    c64::new(-0.9987954562051724, 0.04906767432741797),
    c64::new(-0.9990777277526454, 0.04293825693494102),
    c64::new(-0.9993223845883495, 0.03680722294135883),
    c64::new(-0.9995294175010931, 0.030674803176636865),
    c64::new(-0.9996988186962042, 0.024541228522912326),
    c64::new(-0.9998305817958234, 0.0184067299058051),
    c64::new(-0.9999247018391445, 0.012271538285720007),
    c64::new(-0.9999811752826011, 0.006135884649154799),
];

static INVERSE_TWIDDLES_512: [c64; 512] = [
    c64::new(0.001953125, -0.0),
    c64::new(0.0019530882329738303, -1.1984149705379835e-05),
    c64::new(0.001952977933279579, -2.396784821429673e-05),
    c64::new(0.0019527941050699676, -3.595064434727504e-05),
    c64::new(0.001952536755266024, -4.793208695881306e-05),
    c64::new(0.0019522058935568225, -5.991172495436841e-05),
    c64::new(0.0019518015323991202, -7.188910730734147e-05),
    c64::new(0.0019513236870168855, -8.386378307605629e-05),
    c64::new(0.0019507723754007274, -9.583530142073831e-05),
    c64::new(0.0019501476183072164, -0.00010780321162048817),
    c64::new(0.0019494494392581039, -0.00011976706309025113),
    c64::new(0.0019486778645394368, -0.00013172640539778135),
    c64::new(0.0019478329232005668, -0.00014368078828060044),
    c64::new(0.001946914647053058, -0.00015562976166294946),
    c64::new(0.0019459230706694883, -0.00016757287567273417),
    c64::new(0.001944858231382148, -0.00017950968065846235),
    c64::new(0.0019437201692816346, -0.00019143972720617305),
    c64::new(0.0019425089272153426, -0.00020336256615635661),
    c64::new(0.0019412245507858517, -0.00021527774862086535),
    c64::new(0.001939867088349208, -0.00022718482599981397),
    c64::new(0.0019384365910131054, -0.00023908334999846913),
    c64::new(0.00193693311263496, -0.0002509728726441273),
    c64::new(0.0019353567098198828, -0.0002628529463029808),
    c64::new(0.001933707441918549, -0.0002747231236969711),
    c64::new(0.001931985371024963, -0.0002865829579206284),
    c64::new(0.00193019056197412, -0.00029843200245789733),
    c64::new(0.0019283230823395673, -0.00031026981119894814),
    c64::new(0.0019263830024308568, -0.0003220959384569725),
    c64::new(0.0019243703952909008, -0.0003339099389849633),
    c64::new(0.0019222853366932208, -0.000345711367992478),
    c64::new(0.0019201279051390943, -0.00035749978116238467),
    c64::new(0.0019178981818546, -0.0003692747346675902),
    c64::new(0.0019155962507875594, -0.0003810357851877505),
    c64::new(0.001913222198604376, -0.00039278248992596074),
    c64::new(0.0019107761146867728, -0.0004045144066254269),
    c64::new(0.0019082580911284266, -0.00041623109358611594),
    c64::new(0.0019056682227315011, -0.0004279321096813863),
    c64::new(0.0019030066070030778, -0.0004396170143745954),
    c64::new(0.0019002733441514847, -0.00045128536773568576),
    c64::new(0.001897468537082523, -0.00046293673045774843),
    c64::new(0.0018945922913955937, -0.00047457066387356225),
    c64::new(0.0018916447153797212, -0.00048618672997210967),
    c64::new(0.0018886259200094767, -0.0004977844914150675),
    c64::new(0.0018855360189407996, -0.0005093635115532725),
    c64::new(0.0018823751285067184, -0.0005209233544431609),
    c64::new(0.0018791433677129718, -0.0005324635848631816),
    c64::new(0.001875840858233527, -0.0005439837683301818),
    c64::new(0.0018724677244059992, -0.0005554834711157654),
    c64::new(0.0018690240932269704, -0.0005669622602626217),
    c64::new(0.0018655100943472083, -0.0005784197036008277),
    c64::new(0.0018619258600667849, -0.0005898553697641174),
    c64::new(0.0018582715253300944, -0.0006012688282061228),
    c64::new(0.0018545472277207748, -0.000612659649216585),
    c64::new(0.0018507531074565256, -0.0006240274039375306),
    c64::new(0.0018468893073838306, -0.0006353716643794198),
    c64::new(0.0018429559729725789, -0.0006466920034372587),
    c64::new(0.0018389532523105875, -0.0006579879949066798),
    c64::new(0.0018348812960980272, -0.000669259213499989),
    c64::new(0.001830740257641748, -0.0006805052348621769),
    c64::new(0.001826530292849507, -0.0006917256355868952),
    c64::new(0.0018222515602240995, -0.0007029199932323987),
    c64::new(0.00181790422085739, -0.0007140878863374489),
    c64::new(0.0018134884384242492, -0.0007252288944371827),
    c64::new(0.0018090043791763894, -0.0007363425980789419),
    c64::new(0.001804452211936107, -0.000747428578838066),
    c64::new(0.0017998321080899256, -0.000758486419333645),
    c64::new(0.001795144241582144, -0.0007695157032442346),
    c64::new(0.0017903887889082865, -0.0007805160153235289),
    c64::new(0.0017855659291084584, -0.0007914869414159958),
    c64::new(0.0017806758437606052, -0.0008024280684724686),
    c64::new(0.0017757187169736765, -0.0008133389845656976),
    c64::new(0.001770694735380694, -0.0008242192789058588),
    c64::new(0.0017656040881317253, -0.0008350685418560197),
    c64::new(0.0017604469668867618, -0.0008458863649475624),
    c64::new(0.0017552235658085035, -0.0008566723408955618),
    c64::new(0.0017499340815550493, -0.0008674260636141195),
    c64::new(0.0017445787132724909, -0.0008781471282316534),
    c64::new(0.0017391576625874177, -0.0008888351311061403),
    c64::new(0.001733671133599324, -0.0008994896698403125),
    c64::new(0.0017281193328729254, -0.000910110343296809),
    c64::new(0.001722502469430381, -0.0009206967516132766),
    c64::new(0.0017168207547434249, -0.000931248496217426),
    c64::new(0.0017110744027254035, -0.0009417651798420366),
    c64::new(0.0017052636297232228, -0.0009522464065399141),
    c64::new(0.001699388654509202, -0.000962691781698797),
    c64::new(0.0016934496982728372, -0.0009731009120562146),
    c64::new(0.001687446984612474, -0.0009834734057142921),
    c64::new(0.0016813807395268893, -0.0009938088721545058),
    c64::new(0.0016752511914067815, -0.001004106922252386),
    c64::new(0.001669058571026173, -0.0010143671682921673),
    c64::new(0.001662803111533721, -0.0010245892239813847),
    c64::new(0.00165648504844394, -0.0010347727044654192),
    c64::new(0.0016501046196283342, -0.0010449172263419866),
    c64::new(0.0016436620653064423, -0.001055022407675572),
    c64::new(0.001637157628036793, -0.0010650878680118095),
    c64::new(0.0016305915527077735, -0.0010751132283918063),
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    c64::new(-0.0012297621853807168, -0.0015173602845180321),
    c64::new(-0.0012390493831321197, -0.001509786041724096),
    c64::new(-0.001248289931374562, -0.0015021549563390228),
    c64::new(-0.0012574834822066236, -0.0014944673156688654),
    c64::new(-0.0012666296894963134, -0.001486723409148949),
    c64::new(-0.0012757282088940948, -0.001478923528332978),
    c64::new(-0.0012847786978458565, -0.0014710679668820557),
    c64::new(-0.0012937808156058043, -0.0014631570205536314),
    c64::new(-0.0013027342232492917, -0.0014551909871903634),
    c64::new(-0.001311638583685583, -0.0014471701667089043),
    c64::new(-0.0013204935616705387, -0.0014390948610886133),
    c64::new(-0.0013292988238192442, -0.0014309653743601813),
    c64::new(-0.0013380540386185552, -0.00142278201259419),
    c64::new(-0.0013467588764395837, -0.001414545083889584),
    c64::new(-0.001355413009550105, -0.001406254898362074),
    c64::new(-0.0013640161121269, -0.0013979117681324584),
    c64::new(-0.0013725678602680177, -0.0013895160073148765),
    c64::new(-0.0013810679320049755, -0.0013810679320049757),
    c64::new(-0.001389516007314876, -0.001372567860268018),
    c64::new(-0.0013979117681324582, -0.0013640161121269002),
    c64::new(-0.0014062548983620735, -0.0013554130095501053),
    c64::new(-0.0014145450838895838, -0.001346758876439584),
    c64::new(-0.0014227820125941898, -0.0013380540386185554),
    c64::new(-0.001430965374360181, -0.0013292988238192446),
    c64::new(-0.0014390948610886129, -0.001320493561670539),
    c64::new(-0.001447170166708904, -0.0013116385836855831),
    c64::new(-0.0014551909871903632, -0.0013027342232492922),
    c64::new(-0.001463157020553631, -0.0012937808156058047),
    c64::new(-0.0014710679668820555, -0.001284778697845857),
    c64::new(-0.0014789235283329779, -0.001275728208894095),
    c64::new(-0.0014867234091489488, -0.0012666296894963136),
    c64::new(-0.0014944673156688652, -0.0012574834822066238),
    c64::new(-0.0015021549563390226, -0.0012482899313745622),
    c64::new(-0.0015097860417240957, -0.00123904938313212),
    c64::new(-0.001517360284518032, -0.0012297621853807172),
    c64::new(-0.001524877399554872, -0.0012204286877780983),
    c64::new(-0.0015323371038194827, -0.0012110492417251747),
    c64::new(-0.0015397391164582153, -0.001201624200352787),
    c64::new(-0.0015470831587894769, -0.0011921539185084174),
    c64::new(-0.0015543689543142255, -0.0011826387527428233),
    c64::new(-0.001561596228726377, -0.0011730790612966189),
    c64::new(-0.0015687647099231344, -0.0011634752040867841),
    c64::new(-0.001575874128015233, -0.0011538275426931136),
    c64::new(-0.001582924215337099, -0.0011441364403446074),
    c64::new(-0.0015899147064569305, -0.00113440226190579),
    c64::new(-0.0015968453381866867, -0.0011246253738629794),
    c64::new(-0.0016037158495920013, -0.001114806144310483),
    c64::new(-0.001610525982002002, -0.001104944942936745),
    c64::new(-0.001617275479019054, -0.001095042141010422),
    c64::new(-0.0016239640865284089, -0.0010850981113664105),
    c64::new(-0.0016305915527077735, -0.0010751132283918065),
    c64::new(-0.0016371576280367931, -0.0010650878680118093),
    c64::new(-0.001643662065306442, -0.0010550224076755722),
    c64::new(-0.0016501046196283342, -0.0010449172263419866),
    c64::new(-0.0016564850484439397, -0.0010347727044654196),
    c64::new(-0.001662803111533721, -0.0010245892239813847),
    c64::new(-0.0016690585710261727, -0.0010143671682921675),
    c64::new(-0.0016752511914067815, -0.0010041069222523863),
    c64::new(-0.001681380739526889, -0.0009938088721545065),
    c64::new(-0.001687446984612474, -0.0009834734057142921),
    c64::new(-0.0016934496982728372, -0.0009731009120562144),
    c64::new(-0.0016993886545092019, -0.0009626917816987972),
    c64::new(-0.001705263629723223, -0.0009522464065399138),
    c64::new(-0.0017110744027254033, -0.0009417651798420369),
    c64::new(-0.0017168207547434249, -0.000931248496217426),
    c64::new(-0.0017225024694303807, -0.000920696751613277),
    c64::new(-0.0017281193328729254, -0.000910110343296809),
    c64::new(-0.0017336711335993239, -0.0008994896698403129),
    c64::new(-0.0017391576625874177, -0.0008888351311061404),
    c64::new(-0.0017445787132724907, -0.000878147128231654),
    c64::new(-0.001749934081555049, -0.0008674260636141197),
    c64::new(-0.0017552235658085038, -0.0008566723408955616),
    c64::new(-0.0017604469668867616, -0.0008458863649475626),
    c64::new(-0.0017656040881317253, -0.0008350685418560196),
    c64::new(-0.001770694735380694, -0.0008242192789058591),
    c64::new(-0.0017757187169736765, -0.0008133389845656976),
    c64::new(-0.001780675843760605, -0.000802428068472469),
    c64::new(-0.0017855659291084584, -0.0007914869414159958),
    c64::new(-0.0017903887889082863, -0.0007805160153235294),
    c64::new(-0.001795144241582144, -0.0007695157032442347),
    c64::new(-0.0017998321080899254, -0.0007584864193336457),
    c64::new(-0.001804452211936107, -0.0007474285788380661),
    c64::new(-0.0018090043791763894, -0.0007363425980789417),
    c64::new(-0.001813488438424249, -0.0007252288944371829),
    c64::new(-0.00181790422085739, -0.0007140878863374488),
    c64::new(-0.0018222515602240993, -0.0007029199932323991),
    c64::new(-0.001826530292849507, -0.0006917256355868952),
    c64::new(-0.0018307402576417478, -0.0006805052348621773),
    c64::new(-0.0018348812960980272, -0.0006692592134999891),
    c64::new(-0.0018389532523105873, -0.0006579879949066802),
    c64::new(-0.0018429559729725789, -0.0006466920034372588),
    c64::new(-0.0018468893073838306, -0.0006353716643794203),
    c64::new(-0.0018507531074565256, -0.0006240274039375309),
    c64::new(-0.0018545472277207748, -0.0006126596492165848),
    c64::new(-0.0018582715253300944, -0.0006012688282061231),
    c64::new(-0.0018619258600667849, -0.0005898553697641172),
    c64::new(-0.0018655100943472083, -0.0005784197036008281),
    c64::new(-0.0018690240932269704, -0.0005669622602626217),
    c64::new(-0.001872467724405999, -0.0005554834711157657),
    c64::new(-0.001875840858233527, -0.0005439837683301819),
    c64::new(-0.0018791433677129718, -0.0005324635848631821),
    c64::new(-0.0018823751285067184, -0.0005209233544431611),
    c64::new(-0.0018855360189407994, -0.0005093635115532731),
    c64::new(-0.0018886259200094767, -0.0004977844914150677),
    c64::new(-0.0018916447153797214, -0.00048618672997210956),
    c64::new(-0.0018945922913955937, -0.0004745706638735626),
    c64::new(-0.001897468537082523, -0.0004629367304577484),
    c64::new(-0.0019002733441514845, -0.00045128536773568614),
    c64::new(-0.0019030066070030778, -0.0004396170143745954),
    c64::new(-0.001905668222731501, -0.00042793210968138676),
    c64::new(-0.0019082580911284266, -0.00041623109358611605),
    c64::new(-0.0019107761146867725, -0.0004045144066254274),
    c64::new(-0.001913222198604376, -0.0003927824899259609),
    c64::new(-0.0019155962507875594, -0.00038103578518775114),
    c64::new(-0.0019178981818546, -0.0003692747346675905),
    c64::new(-0.0019201279051390945, -0.00035749978116238456),
    c64::new(-0.0019222853366932208, -0.00034571136799247835),
    c64::new(-0.0019243703952909008, -0.00033390993898496326),
    c64::new(-0.0019263830024308566, -0.0003220959384569729),
    c64::new(-0.0019283230823395673, -0.00031026981119894814),
    c64::new(-0.00193019056197412, -0.0002984320024578978),
    c64::new(-0.001931985371024963, -0.0002865829579206285),
    c64::new(-0.0019337074419185489, -0.0002747231236969717),
    c64::new(-0.0019353567098198828, -0.000262852946302981),
    c64::new(-0.00193693311263496, -0.00025097287264412707),
    c64::new(-0.0019384365910131054, -0.00023908334999846943),
    c64::new(-0.001939867088349208, -0.0002271848259998139),
    c64::new(-0.0019412245507858517, -0.00021527774862086573),
    c64::new(-0.0019425089272153426, -0.0002033625661563566),
    c64::new(-0.0019437201692816344, -0.00019143972720617351),
    c64::new(-0.001944858231382148, -0.00017950968065846243),
    c64::new(-0.0019459230706694883, -0.00016757287567273468),
    c64::new(-0.001946914647053058, -0.0001556297616629496),
    c64::new(-0.0019478329232005668, -0.00014368078828060107),
    c64::new(-0.0019486778645394368, -0.0001317264053977816),
    c64::new(-0.0019494494392581039, -0.00011976706309025097),
    c64::new(-0.0019501476183072164, -0.00010780321162048846),
    c64::new(-0.0019507723754007274, -9.583530142073823e-05),
    c64::new(-0.0019513236870168855, -8.386378307605668e-05),
    c64::new(-0.0019518015323991202, -7.188910730734147e-05),
    c64::new(-0.0019522058935568225, -5.991172495436888e-05),
    c64::new(-0.001952536755266024, -4.793208695881314e-05),
    c64::new(-0.0019527941050699676, -3.595064434727559e-05),
    c64::new(-0.001952977933279579, -2.396784821429689e-05),
    c64::new(-0.0019530882329738303, -1.1984149705380466e-05),
];

static TWIDDLES_1024: [c64; 1024] = [
    c64::new(1.0, 0.0),
    c64::new(0.9999952938095762, 0.003067956762965976),
    c64::new(0.9999811752826011, 0.006135884649154475),
    c64::new(0.9999576445519639, 0.00920375478205982),
    c64::new(0.9999247018391445, 0.012271538285719925),
    c64::new(0.9998823474542126, 0.0153392062849881),
    c64::new(0.9998305817958234, 0.01840672990580482),
    c64::new(0.9997694053512153, 0.021474080275469508),
    c64::new(0.9996988186962042, 0.024541228522912288),
    c64::new(0.9996188224951786, 0.02760814577896574),
    c64::new(0.9995294175010931, 0.030674803176636626),
    c64::new(0.9994306045554617, 0.03374117185137758),
    c64::new(0.9993223845883495, 0.03680722294135883),
    c64::new(0.9992047586183639, 0.03987292758773981),
    c64::new(0.9990777277526454, 0.04293825693494082),
    c64::new(0.9989412931868569, 0.04600318213091462),
    c64::new(0.9987954562051724, 0.049067674327418015),
    c64::new(0.9986402181802653, 0.052131704680283324),
    c64::new(0.9984755805732948, 0.05519524434968994),
    c64::new(0.9983015449338929, 0.05825826450043575),
    c64::new(0.9981181129001492, 0.06132073630220858),
    c64::new(0.997925286198596, 0.06438263092985747),
    c64::new(0.9977230666441916, 0.06744391956366405),
    c64::new(0.9975114561403035, 0.07050457338961386),
    c64::new(0.9972904566786902, 0.07356456359966743),
    c64::new(0.997060070339483, 0.07662386139203149),
    c64::new(0.9968202992911657, 0.07968243797143013),
    c64::new(0.9965711457905548, 0.08274026454937569),
    c64::new(0.996312612182778, 0.0857973123444399),
    c64::new(0.996044700901252, 0.0888535525825246),
    c64::new(0.9957674144676598, 0.09190895649713272),
    c64::new(0.9954807554919269, 0.09496349532963899),
    c64::new(0.9951847266721969, 0.0980171403295606),
    c64::new(0.9948793307948056, 0.10106986275482782),
    c64::new(0.9945645707342554, 0.10412163387205459),
    c64::new(0.9942404494531879, 0.10717242495680884),
    c64::new(0.9939069700023561, 0.11022220729388306),
    c64::new(0.9935641355205953, 0.11327095217756435),
    c64::new(0.9932119492347945, 0.11631863091190475),
    c64::new(0.9928504144598651, 0.11936521481099135),
    c64::new(0.99247953459871, 0.1224106751992162),
    c64::new(0.9920993131421918, 0.12545498341154623),
    c64::new(0.9917097536690995, 0.12849811079379317),
    c64::new(0.9913108598461154, 0.13154002870288312),
    c64::new(0.99090263542778, 0.13458070850712617),
    c64::new(0.9904850842564571, 0.13762012158648604),
    c64::new(0.9900582102622971, 0.1406582393328492),
    c64::new(0.9896220174632009, 0.14369503315029447),
    c64::new(0.989176509964781, 0.14673047445536175),
    c64::new(0.9887216919603238, 0.1497645346773215),
    c64::new(0.9882575677307495, 0.15279718525844344),
    c64::new(0.9877841416445722, 0.15582839765426523),
    c64::new(0.9873014181578584, 0.15885814333386145),
    c64::new(0.9868094018141855, 0.16188639378011183),
    c64::new(0.9863080972445987, 0.16491312048996992),
    c64::new(0.9857975091675675, 0.16793829497473117),
    c64::new(0.9852776423889412, 0.17096188876030122),
    c64::new(0.9847485018019042, 0.17398387338746382),
    c64::new(0.984210092386929, 0.17700422041214875),
    c64::new(0.9836624192117303, 0.18002290140569951),
    c64::new(0.9831054874312163, 0.18303988795514095),
    c64::new(0.9825393022874412, 0.18605515166344663),
    c64::new(0.9819638691095552, 0.1890686641498062),
    c64::new(0.9813791933137546, 0.19208039704989244),
    c64::new(0.9807852804032304, 0.19509032201612825),
    c64::new(0.9801821359681174, 0.19809841071795356),
    c64::new(0.9795697656854405, 0.2011046348420919),
    c64::new(0.9789481753190622, 0.20410896609281687),
    c64::new(0.9783173707196277, 0.20711137619221856),
    c64::new(0.9776773578245099, 0.2101118368804696),
    c64::new(0.9770281426577544, 0.21311031991609136),
    c64::new(0.9763697313300211, 0.21610679707621952),
    c64::new(0.9757021300385286, 0.2191012401568698),
    c64::new(0.9750253450669941, 0.2220936209732035),
    c64::new(0.9743393827855759, 0.22508391135979283),
    c64::new(0.973644249650812, 0.22807208317088573),
    c64::new(0.9729399522055602, 0.2310581082806711),
    c64::new(0.9722264970789363, 0.23404195858354343),
    c64::new(0.9715038909862518, 0.2370236059943672),
    c64::new(0.9707721407289504, 0.2400030224487415),
    c64::new(0.970031253194544, 0.24298017990326387),
    c64::new(0.9692812353565485, 0.2459550503357946),
    c64::new(0.9685220942744173, 0.24892760574572015),
    c64::new(0.9677538370934755, 0.25189781815421697),
    c64::new(0.9669764710448521, 0.25486565960451457),
    c64::new(0.9661900034454125, 0.257831102162159),
    c64::new(0.9653944416976894, 0.2607941179152755),
    c64::new(0.9645897932898128, 0.26375467897483135),
    c64::new(0.9637760657954398, 0.26671275747489837),
    c64::new(0.9629532668736839, 0.2696683255729151),
    c64::new(0.9621214042690416, 0.272621355449949),
    c64::new(0.9612804858113206, 0.27557181931095814),
    c64::new(0.9604305194155658, 0.27851968938505306),
    c64::new(0.9595715130819845, 0.28146493792575794),
    c64::new(0.9587034748958716, 0.2844075372112719),
    c64::new(0.9578264130275329, 0.2873474595447295),
    c64::new(0.9569403357322088, 0.29028467725446233),
    c64::new(0.9560452513499964, 0.29321916269425863),
    c64::new(0.9551411683057707, 0.2961508882436238),
    c64::new(0.9542280951091057, 0.2990798263080405),
    c64::new(0.9533060403541939, 0.3020059493192281),
    c64::new(0.9523750127197659, 0.3049292297354024),
    c64::new(0.9514350209690083, 0.30784964004153487),
    c64::new(0.9504860739494817, 0.3107671527496115),
    c64::new(0.9495281805930367, 0.3136817403988915),
    c64::new(0.9485613499157303, 0.31659337555616585),
    c64::new(0.9475855910177411, 0.3195020308160157),
    c64::new(0.9466009130832835, 0.32240767880106985),
    c64::new(0.9456073253805213, 0.3253102921622629),
    c64::new(0.9446048372614803, 0.3282098435790925),
    c64::new(0.9435934581619604, 0.33110630575987643),
    c64::new(0.9425731976014469, 0.3339996514420094),
    c64::new(0.9415440651830208, 0.33688985339222005),
    c64::new(0.9405060705932683, 0.33977688440682685),
    c64::new(0.9394592236021899, 0.3426607173119944),
    c64::new(0.9384035340631081, 0.3455413249639891),
    c64::new(0.937339011912575, 0.34841868024943456),
    c64::new(0.9362656671702783, 0.3512927560855671),
    c64::new(0.9351835099389476, 0.35416352542049034),
    c64::new(0.934092550404259, 0.35703096123343),
    c64::new(0.932992798834739, 0.3598950365349881),
    c64::new(0.9318842655816681, 0.3627557243673972),
    c64::new(0.9307669610789837, 0.36561299780477385),
    c64::new(0.9296408958431812, 0.3684668299533723),
    c64::new(0.9285060804732156, 0.37131719395183754),
    c64::new(0.9273625256504011, 0.37416406297145793),
    c64::new(0.9262102421383114, 0.37700741021641826),
    c64::new(0.9250492407826776, 0.37984720892405116),
    c64::new(0.9238795325112867, 0.3826834323650898),
    c64::new(0.9227011283338786, 0.38551605384391885),
    c64::new(0.9215140393420419, 0.38834504669882625),
    c64::new(0.9203182767091106, 0.39117038430225387),
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    c64::new(-0.9992047586183639, 0.03987292758774013),
    c64::new(-0.9993223845883495, 0.03680722294135883),
    c64::new(-0.9994306045554617, 0.033741171851377705),
    c64::new(-0.9995294175010931, 0.030674803176636865),
    c64::new(-0.9996188224951786, 0.027608145778965656),
    c64::new(-0.9996988186962042, 0.024541228522912326),
    c64::new(-0.9997694053512153, 0.021474080275469667),
    c64::new(-0.9998305817958234, 0.0184067299058051),
    c64::new(-0.9998823474542126, 0.01533920628498806),
    c64::new(-0.9999247018391445, 0.012271538285720007),
    c64::new(-0.9999576445519639, 0.009203754782060022),
    c64::new(-0.9999811752826011, 0.006135884649154799),
    c64::new(-0.9999952938095762, 0.003067956762965977),
];

static INVERSE_TWIDDLES_1024: [c64; 1024] = [
    c64::new(0.0009765625, -0.0),
    c64::new(0.0009765579041109142, -2.996051526333961e-06),
    c64::new(0.0009765441164869151, -5.992074852689917e-06),
    c64::new(0.0009765211372577772, -8.988041779355292e-06),
    c64::new(0.0009764889666397896, -1.1983924107148365e-05),
    c64::new(0.0009764476049357545, -1.4979693637683692e-05),
    c64::new(0.0009763970525349838, -1.797532217363752e-05),
    c64::new(0.0009763373099132962, -2.097078151901319e-05),
    c64::new(0.000976268377633012, -2.396604347940653e-05),
    c64::new(0.0009761902563429479, -2.696107986227123e-05),
    c64::new(0.0009761029467784113, -2.9955862477184205e-05),
    c64::new(0.0009760064497611931, -3.295036313611092e-05),
    c64::new(0.0009759007661995601, -3.5944553653670734e-05),
    c64::new(0.000975785897088246, -3.893840584740216e-05),
    c64::new(0.0009756618435084427, -4.1931891538028145e-05),
    c64::new(0.0009755286066277899, -4.492498254972131e-05),
    c64::new(0.0009753861877003637, -4.7917650710369155e-05),
    c64::new(0.0009752345880666653, -5.090986785183918e-05),
    c64::new(0.0009750738091536082, -5.390160581024408e-05),
    c64::new(0.0009749038524745048, -5.689283642620679e-05),
    c64::new(0.0009747247196290519, -5.9883531545125565e-05),
    c64::new(0.0009745364123033164, -6.287366301743893e-05),
    c64::new(0.0009743389322697184, -6.586320269889067e-05),
    c64::new(0.0009741322813870151, -6.885212245079478e-05),
    c64::new(0.0009739164616002834, -7.184039414030022e-05),
    c64::new(0.0009736914749409013, -7.482798964065575e-05),
    c64::new(0.000973457323526529, -7.781488083147473e-05),
    c64::new(0.0009732140095610887, -8.08010395989997e-05),
    c64::new(0.0009729615353347441, -8.378643783636708e-05),
    c64::new(0.0009726999032238789, -8.677104744387168e-05),
    c64::new(0.000972429115691074, -8.975484032923118e-05),
    c64::new(0.0009721491752850849, -9.273778840785058e-05),
    c64::new(0.0009718600846408173, -9.571986360308653e-05),
    c64::new(0.0009715618464793024, -9.870103784651154e-05),
    c64::new(0.0009712544636076713, -0.00010168128307817831),
    c64::new(0.0009709379389191288, -0.00010466057124688364),
    c64::new(0.0009706122753929258, -0.00010763887431043268),
    c64::new(0.0009702774760943314, -0.00011061616423590268),
    c64::new(0.000969933544174604, -0.00011359241299990698),
    c64::new(0.000969580482870962, -0.00011656759258885874),
    c64::new(0.0009692182955065527, -0.00011954167499923457),
    c64::new(0.0009688469854904217, -0.00012251463223783812),
    c64::new(0.00096846655631748, -0.00012548643632206364),
    c64::new(0.0009680770115684721, -0.0001284570592801593),
    c64::new(0.0009676783549099414, -0.0001314264731514904),
    c64::new(0.0009672705900941964, -0.00013439464998680277),
    c64::new(0.0009668537209592745, -0.00013736156184848556),
    c64::new(0.0009664277514289071, -0.00014032718081083444),
    c64::new(0.0009659926855124815, -0.0001432914789603142),
    c64::new(0.0009655485273050037, -0.00014625442839582179),
    c64::new(0.00096509528098706, -0.00014921600122894867),
    c64::new(0.0009646329508247775, -0.0001521761695842434),
    c64::new(0.0009641615411697836, -0.00015513490559947407),
    c64::new(0.0009636810564591656, -0.00015809218142589045),
    c64::new(0.0009631915012154284, -0.00016104796922848625),
    c64::new(0.0009626928800464526, -0.0001640022411862609),
    c64::new(0.0009621851976454504, -0.00016695496949248166),
    c64::new(0.0009616684587909221, -0.00016990612635494514),
    c64::new(0.0009611426683466104, -0.000172855683996239),
    c64::new(0.0009606078312614553, -0.00017580361465400343),
    c64::new(0.0009600639525695472, -0.00017874989058119233),
    c64::new(0.0009595110373900793, -0.0001816944840463346),
    c64::new(0.0009589490909273, -0.0001846373673337951),
    c64::new(0.0009583781184704634, -0.00018757851274403558),
    c64::new(0.0009577981253937797, -0.00019051789259387524),
    c64::new(0.0009572091171563647, -0.00019345547921675152),
    c64::new(0.000956611099302188, -0.00019639124496298037),
    c64::new(0.0009560040774600217, -0.00019932516220001647),
    c64::new(0.0009553880573433864, -0.00020225720331271344),
    c64::new(0.000954763044750498, -0.0002051873407035836),
    c64::new(0.0009541290455642133, -0.00020811554679305797),
    c64::new(0.0009534860657519738, -0.00021104179401974563),
    c64::new(0.0009528341113657506, -0.00021396605484069316),
    c64::new(0.0009521731885419864, -0.00021688830173164405),
    c64::new(0.0009515033035015389, -0.0002198085071872977),
    c64::new(0.0009508244625496211, -0.0002227266437215681),
    c64::new(0.0009501366720757424, -0.00022564268386784288),
    c64::new(0.0009494399385536487, -0.00022855660017924163),
    c64::new(0.0009487342685412615, -0.00023146836522887422),
    c64::new(0.0009480196686806156, -0.00023437795161009912),
    c64::new(0.0009472961456977968, -0.00023728533193678112),
    c64::new(0.0009465637064028794, -0.0002401904788435494),
    c64::new(0.0009458223576898606, -0.00024309336498605483),
    c64::new(0.0009450721065365972, -0.0002459939630412275),
    c64::new(0.0009443129600047384, -0.00024889224570753376),
    c64::new(0.0009435449252396606, -0.0002517881857052334),
    c64::new(0.0009427680094703998, -0.00025468175577663624),
    c64::new(0.0009419822200095828, -0.00025757292868635874),
    c64::new(0.0009411875642533592, -0.00026046167722158043),
    c64::new(0.0009403840496813319, -0.0002633479741922999),
    c64::new(0.0009395716838564859, -0.0002662317924315908),
    c64::new(0.0009387504744251178, -0.00026911310479585756),
    c64::new(0.0009379204291167635, -0.0002719918841650909),
    c64::new(0.0009370815557441255, -0.000274868103443123),
    c64::new(0.0009362338622029996, -0.0002777417355578827),
    c64::new(0.0009353773564722001, -0.0002806127534616499),
    c64::new(0.0009345120466134852, -0.00028348113013131087),
    c64::new(0.0009336379407714809, -0.00028634683856861194),
    c64::new(0.0009327550471736042, -0.00028920985180041386),
    c64::new(0.000931863374129986, -0.0002920701428789458),
    c64::new(0.0009309629300333924, -0.0002949276848820587),
    c64::new(0.0009300537233591464, -0.0002977824509134789),
    c64::new(0.0009291357626650472, -0.0003006344141030614),
    c64::new(0.0009282090565912907, -0.00030348354760704246),
    c64::new(0.0009272736138603874, -0.0003063298246082925),
    c64::new(0.0009263294432770803, -0.0003091732183165682),
    c64::new(0.0009253765537282628, -0.0003120137019687653),
    c64::new(0.0009244149541828941, -0.0003148512488291698),
    c64::new(0.0009234446536919153, -0.0003176858321897099),
    c64::new(0.0009224656613881643, -0.0003205174253702075),
    c64::new(0.0009214779864862894, -0.0003233460017186293),
    c64::new(0.000920481638282663, -0.0003261715346113373),
    c64::new(0.0009194766261552938, -0.0003289939974533399),
    c64::new(0.0009184629595637386, -0.00033181336367854185),
    c64::new(0.0009174406480490136, -0.0003346296067499945),
    c64::new(0.000916409701233504, -0.0003374427001601456),
    c64::new(0.000915370128820874, -0.00034025261743108844),
    c64::new(0.0009143219405959749, -0.0003430593321148116),
    c64::new(0.0009132651464247535, -0.0003458628177934476),
    c64::new(0.0009121997562541592, -0.00034866304807952146),
    c64::new(0.0009111257801120498, -0.0003514599966161993),
    c64::new(0.0009100432281070978, -0.00035425363707753635),
    c64::new(0.000908952110428695, -0.00035704394316872447),
    c64::new(0.0009078524373468567, -0.00035983088862634016),
    c64::new(0.0009067442192121246, -0.00036261444721859135),
    c64::new(0.0009056274664554698, -0.0003653945927455644),
    c64::new(0.0009045021895881947, -0.00036817129903947096),
    c64::new(0.0009033683992018336, -0.0003709445399648937),
    c64::new(0.0009022261059680535, -0.000373714289419033),
    c64::new(0.0009010753206385533, -0.000376480521331952),
    c64::new(0.0008999160540449628, -0.0003792432096668225),
    c64::new(0.0008987483170987408, -0.0003820023284201698),
    c64::new(0.000897572120791072, -0.0003847578516221173),
    c64::new(0.0008963874761927642, -0.00038750975333663116),
    c64::new(0.0008951943944541433, -0.00039025800766176444),
    c64::new(0.0008939928868049491, -0.0003930025887299008),
    c64::new(0.0008927829645542292, -0.0003957434707079979),
    c64::new(0.0008915646390902326, -0.00039848062779783075),
    c64::new(0.0008903379218803026, -0.0004012140342362343),
    c64::new(0.0008891028244707688, -0.00040394366429534625),
    c64::new(0.0008878593584868383, -0.0004066694922828488),
    c64::new(0.0008866075356324866, -0.00040939149254221084),
    c64::new(0.000885347367690347, -0.0004121096394529294),
    c64::new(0.0008840788665216004, -0.0004148239074307703),
    c64::new(0.0008828020440658626, -0.00041753427092800985),
    c64::new(0.0008815169123410731, -0.0004202407044336744),
    c64::new(0.0008802234834433809, -0.0004229431824737812),
    c64::new(0.0008789217695470315, -0.0004256416796115776),
    c64::new(0.0008776117829042518, -0.0004283361704477809),
    c64::new(0.0008762935358451351, -0.00043102662962081706),
    c64::new(0.0008749670407775246, -0.00043371303180705977),
    c64::new(0.0008736323101868972, -0.0004363953517210685),
    c64::new(0.0008722893566362454, -0.0004390735641158267),
    c64::new(0.0008709381927659597, -0.0004417476437829794),
    c64::new(0.0008695788312937089, -0.00044441756555307015),
    c64::new(0.0008682112850143209, -0.00044708330429577855),
    c64::new(0.000866835566799662, -0.00044974483492015626),
    c64::new(0.0008654516895985162, -0.0004524021323748634),
    c64::new(0.0008640596664364627, -0.0004550551716484045),
    c64::new(0.0008626595104157535, -0.00045770392776936324),
    c64::new(0.0008612512347151905, -0.0004603483758066383),
    c64::new(0.0008598348525900007, -0.0004629884908696777),
    c64::new(0.0008584103773717124, -0.000465624248108713),
    c64::new(0.0008569778224680287, -0.00046825562271499317),
    c64::new(0.0008555372013627018, -0.0004708825899210183),
    c64::new(0.0008540885276154065, -0.0004735051250007725),
    c64::new(0.0008526318148616114, -0.00047612320326995703),
    c64::new(0.0008511670768124521, -0.00047873680008622184),
    c64::new(0.000849694327254601, -0.0004813458908493985),
    c64::new(0.0008482135800501376, -0.000483950451001731),
    c64::new(0.0008467248491364186, -0.0004865504560281073),
    c64::new(0.0008452281485259464, -0.0004891458814562898),
    c64::new(0.000843723492306237, -0.0004917367028571461),
    c64::new(0.000842210894639688, -0.0004943228958448782),
    c64::new(0.0008406903697634446, -0.0004969044360772529),
    c64::new(0.0008391619319892661, -0.0004994812992558304),
    c64::new(0.0008376255957033907, -0.000502053461126193),
    c64::new(0.0008360813753664009, -0.0005046208974781737),
    c64::new(0.0008345292855130865, -0.0005071835841460836),
    c64::new(0.0008329693407523082, -0.0005097414970089398),
    c64::new(0.0008314015557668605, -0.0005122946119906923),
    c64::new(0.0008298259453133326, -0.0005148429050604506),
    c64::new(0.00082824252422197, -0.0005173863522327096),
    c64::new(0.0008266513073965353, -0.0005199249295675761),
    c64::new(0.0008250523098141671, -0.0005224586131709933),
    c64::new(0.0008234455465252397, -0.0005249873791949662),
    c64::new(0.0008218310326532211, -0.000527511203837786),
    c64::new(0.0008202087833945308, -0.0005300300633442538),
    c64::new(0.0008185788140183965, -0.0005325439340059047),
    c64::new(0.0008169411398667109, -0.0005350527921612307),
    c64::new(0.0008152957763538867, -0.0005375566141959031),
    c64::new(0.0008136427389667121, -0.0005400553765429956),
    c64::new(0.0008119820432642043, -0.0005425490556832053),
    c64::new(0.0008103137048774639, -0.0005450376281450743),
    c64::new(0.0008086377395095271, -0.000547521070505211),
    c64::new(0.0008069541629352183, -0.0005499993593885099),
    c64::new(0.0008052629910010013, -0.0005524724714683722),
    c64::new(0.0008035642396248305, -0.0005549403834669253),
    c64::new(0.0008018579247960006, -0.0005574030721552415),
    c64::new(0.0008001440625749971, -0.0005598605143535568),
    c64::new(0.0007984226690933435, -0.0005623126869314896),
    c64::new(0.000796693760553451, -0.0005647595668082574),
    c64::new(0.0007949573532284652, -0.000567201130952895),
    c64::new(0.0007932134634621132, -0.000569637356384471),
    c64::new(0.0007914621076685496, -0.0005720682201723036),
    c64::new(0.0007897033023322021, -0.000574493699436177),
    c64::new(0.0007879370640076165, -0.0005769137713465568),
    c64::new(0.0007861634093193004, -0.0005793284131248045),
    c64::new(0.0007843823549615673, -0.000581737602043392),
    c64::new(0.0007825939176983791, -0.0005841413154261156),
    c64::new(0.0007807981143631885, -0.0005865395306483095),
    c64::new(0.0007789949618587804, -0.0005889322251370588),
    c64::new(0.0007771844771571129, -0.0005913193763714117),
    c64::new(0.0007753666772991574, -0.0005937009618825914),
    c64::new(0.0007735415793947387, -0.0005960769592542085),
    c64::new(0.0007717092006223731, -0.0005984473461224704),
    c64::new(0.0007698695582291078, -0.0006008121001763934),
    c64::new(0.0007680226695303572, -0.0006031711991580116),
    c64::new(0.0007661685519097414, -0.000605524620862587),
    c64::new(0.0007643072228189216, -0.0006078723431388183),
    c64::new(0.000762438699777436, -0.0006102143438890492),
    c64::new(0.0007605630003725351, -0.0006125506010694766),
    c64::new(0.0007586801422590161, -0.0006148810926903584),
    c64::new(0.0007567901431590565, -0.0006172057968162198),
    c64::new(0.0007548930208620478, -0.00061952469156606),
    c64::new(0.0007529887932244276, -0.0006218377551135588),
    c64::new(0.0007510774781695114, -0.000624144965687281),
    c64::new(0.0007491590936873246, -0.000626446301570882),
    c64::new(0.0007472336578344326, -0.0006287417411033119),
    c64::new(0.0007453011887337709, -0.0006310312626790198),
    c64::new(0.0007433617045744744, -0.0006333148447481567),
    c64::new(0.000741415223611707, -0.0006355924658167783),
    c64::new(0.0007394617641664888, -0.0006378641044470476),
    c64::new(0.000737501344625524, -0.0006401297392574369),
    c64::new(0.0007355339834410279, -0.0006423893489229284),
    c64::new(0.0007335596991305531, -0.0006446429121752153),
    c64::new(0.0007315785102768158, -0.0006468904078029021),
    c64::new(0.0007295904355275197, -0.0006491318146517039),
    c64::new(0.0007275954935951816, -0.000651367111624646),
    c64::new(0.0007255937032569548, -0.0006535962776822617),
    c64::new(0.0007235850833544524, -0.0006558192918427913),
    c64::new(0.0007215696527935694, -0.0006580361331823789),
    c64::new(0.0007195474305443064, -0.0006602467808352695),
    c64::new(0.0007175184356405892, -0.0006624512139940053),
    c64::new(0.0007154826871800906, -0.0006646494119096221),
    c64::new(0.0007134402043240504, -0.0006668413538918438),
    c64::new(0.0007113910062970949, -0.0006690270193092777),
    c64::new(0.0007093351123870566, -0.0006712063875896084),
    c64::new(0.000707272541944792, -0.0006733794382197918),
    c64::new(0.0007052033143839994, -0.0006755461507462478),
    c64::new(0.0007031274491810368, -0.0006777065047750526),
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    c64::new(-0.0007295904355275196, -0.0006491318146517041),
    c64::new(-0.0007315785102768155, -0.0006468904078029023),
    c64::new(-0.0007335596991305531, -0.0006446429121752153),
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    c64::new(-0.0007394617641664889, -0.0006378641044470475),
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    c64::new(-0.0007453011887337707, -0.00063103126267902),
    c64::new(-0.0007472336578344326, -0.0006287417411033119),
    c64::new(-0.0007491590936873245, -0.000626446301570882),
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    c64::new(-0.0007529887932244273, -0.000621837755113559),
    c64::new(-0.0007548930208620478, -0.00061952469156606),
    c64::new(-0.0007567901431590565, -0.0006172057968162198),
    c64::new(-0.000758680142259016, -0.0006148810926903586),
    c64::new(-0.0007605630003725352, -0.0006125506010694766),
    c64::new(-0.000762438699777436, -0.0006102143438890492),
    c64::new(-0.0007643072228189215, -0.0006078723431388184),
    c64::new(-0.0007661685519097413, -0.0006055246208625873),
    c64::new(-0.0007680226695303572, -0.0006031711991580116),
    c64::new(-0.0007698695582291076, -0.0006008121001763935),
    c64::new(-0.000771709200622373, -0.0005984473461224705),
    c64::new(-0.0007735415793947384, -0.0005960769592542087),
    c64::new(-0.0007753666772991574, -0.0005937009618825914),
    c64::new(-0.0007771844771571127, -0.0005913193763714117),
    c64::new(-0.0007789949618587802, -0.000588932225137059),
    c64::new(-0.0007807981143631885, -0.0005865395306483094),
    c64::new(-0.0007825939176983791, -0.0005841413154261156),
    c64::new(-0.0007843823549615672, -0.0005817376020433921),
    c64::new(-0.0007861634093193002, -0.0005793284131248047),
    c64::new(-0.0007879370640076165, -0.0005769137713465568),
    c64::new(-0.0007897033023322021, -0.0005744936994361771),
    c64::new(-0.0007914621076685495, -0.0005720682201723037),
    c64::new(-0.000793213463462113, -0.0005696373563844712),
    c64::new(-0.0007949573532284652, -0.000567201130952895),
    c64::new(-0.000796693760553451, -0.0005647595668082575),
    c64::new(-0.0007984226690933434, -0.0005623126869314897),
    c64::new(-0.0008001440625749971, -0.0005598605143535567),
    c64::new(-0.0008018579247960006, -0.0005574030721552415),
    c64::new(-0.0008035642396248303, -0.0005549403834669255),
    c64::new(-0.000805262991001001, -0.0005524724714683725),
    c64::new(-0.0008069541629352183, -0.0005499993593885099),
    c64::new(-0.000808637739509527, -0.000547521070505211),
    c64::new(-0.0008103137048774638, -0.0005450376281450745),
    c64::new(-0.0008119820432642044, -0.0005425490556832053),
    c64::new(-0.0008136427389667121, -0.0005400553765429956),
    c64::new(-0.0008152957763538867, -0.0005375566141959032),
    c64::new(-0.0008169411398667108, -0.0005350527921612308),
    c64::new(-0.0008185788140183966, -0.0005325439340059046),
    c64::new(-0.0008202087833945308, -0.0005300300633442538),
    c64::new(-0.000821831032653221, -0.0005275112038377861),
    c64::new(-0.0008234455465252396, -0.0005249873791949665),
    c64::new(-0.0008250523098141671, -0.0005224586131709933),
    c64::new(-0.0008266513073965352, -0.0005199249295675762),
    c64::new(-0.0008282425242219698, -0.0005173863522327098),
    c64::new(-0.0008298259453133326, -0.0005148429050604505),
    c64::new(-0.0008314015557668605, -0.0005122946119906923),
    c64::new(-0.0008329693407523082, -0.0005097414970089398),
    c64::new(-0.0008345292855130864, -0.0005071835841460837),
    c64::new(-0.000836081375366401, -0.0005046208974781736),
    c64::new(-0.0008376255957033907, -0.0005020534611261931),
    c64::new(-0.0008391619319892659, -0.0004994812992558306),
    c64::new(-0.0008406903697634445, -0.0004969044360772532),
    c64::new(-0.000842210894639688, -0.0004943228958448782),
    c64::new(-0.000843723492306237, -0.0004917367028571461),
    c64::new(-0.0008452281485259463, -0.00048914588145629),
    c64::new(-0.0008467248491364186, -0.0004865504560281072),
    c64::new(-0.0008482135800501376, -0.000483950451001731),
    c64::new(-0.0008496943272546009, -0.0004813458908493986),
    c64::new(-0.0008511670768124521, -0.00047873680008622205),
    c64::new(-0.0008526318148616115, -0.0004761232032699569),
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    c64::new(-0.0008612512347151904, -0.0004603483758066385),
    c64::new(-0.0008626595104157536, -0.00045770392776936313),
    c64::new(-0.0008640596664364627, -0.0004550551716484045),
    c64::new(-0.0008654516895985161, -0.0004524021323748636),
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    c64::new(-0.0008695788312937089, -0.0004444175655530702),
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    c64::new(-0.0008736323101868972, -0.0004363953517210685),
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    c64::new(-0.0008789217695470315, -0.0004256416796115776),
    c64::new(-0.0008802234834433808, -0.0004229431824737813),
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    c64::new(-0.0008927829645542292, -0.0003957434707079979),
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    c64::new(-0.0008951943944541432, -0.0003902580076617647),
    c64::new(-0.0008963874761927642, -0.0003875097533366311),
    c64::new(-0.000897572120791072, -0.00038475785162211734),
    c64::new(-0.0008987483170987407, -0.00038200232842016996),
    c64::new(-0.0008999160540449627, -0.00037924320966682283),
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    c64::new(-0.0009100432281070978, -0.0003542536370775364),
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    c64::new(-0.0009336379407714809, -0.00028634683856861227),
    c64::new(-0.0009345120466134852, -0.00028348113013131087),
    c64::new(-0.0009353773564722001, -0.00028061275346165),
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    c64::new(-0.0009621851976454504, -0.00016695496949248163),
    c64::new(-0.0009626928800464525, -0.000164002241186261),
    c64::new(-0.0009631915012154283, -0.00016104796922848644),
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    c64::new(-0.0009668537209592744, -0.00013736156184848586),
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    c64::new(-0.0009680770115684721, -0.00012845705928015948),
    c64::new(-0.00096846655631748, -0.00012548643632206353),
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    c64::new(-0.000972429115691074, -8.975484032923122e-05),
    c64::new(-0.0009726999032238789, -8.677104744387183e-05),
    c64::new(-0.0009729615353347441, -8.378643783636734e-05),
    c64::new(-0.0009732140095610887, -8.080103959899966e-05),
    c64::new(-0.000973457323526529, -7.78148808314748e-05),
    c64::new(-0.0009736914749409013, -7.482798964065594e-05),
    c64::new(-0.0009739164616002834, -7.184039414030053e-05),
    c64::new(-0.0009741322813870151, -6.885212245079478e-05),
    c64::new(-0.0009743389322697184, -6.58632026988908e-05),
    c64::new(-0.0009745364123033164, -6.287366301743916e-05),
    c64::new(-0.0009747247196290519, -5.9883531545125483e-05),
    c64::new(-0.0009749038524745048, -5.689283642620683e-05),
    c64::new(-0.0009750738091536082, -5.390160581024423e-05),
    c64::new(-0.0009752345880666652, -5.0909867851839454e-05),
    c64::new(-0.0009753861877003637, -4.7917650710369115e-05),
    c64::new(-0.0009755286066277899, -4.492498254972139e-05),
    c64::new(-0.0009756618435084427, -4.193189153802834e-05),
    c64::new(-0.000975785897088246, -3.893840584740247e-05),
    c64::new(-0.0009759007661995601, -3.5944553653670734e-05),
    c64::new(-0.0009760064497611931, -3.295036313611104e-05),
    c64::new(-0.0009761029467784113, -2.995586247718444e-05),
    c64::new(-0.0009761902563429479, -2.696107986227115e-05),
    c64::new(-0.000976268377633012, -2.396604347940657e-05),
    c64::new(-0.0009763373099132962, -2.0970781519013347e-05),
    c64::new(-0.0009763970525349838, -1.7975322173637794e-05),
    c64::new(-0.0009764476049357545, -1.4979693637683653e-05),
    c64::new(-0.0009764889666397896, -1.1983924107148444e-05),
    c64::new(-0.0009765211372577772, -8.98804177935549e-06),
    c64::new(-0.0009765441164869151, -5.992074852690233e-06),
    c64::new(-0.0009765579041109142, -2.996051526333962e-06),
];

static TWIDDLES_2048: [c64; 2048] = [
    c64::new(1.0, 0.0),
    c64::new(0.9999988234517019, 0.0015339801862847655),
    c64::new(0.9999952938095762, 0.003067956762965976),
    c64::new(0.9999894110819284, 0.0046019261204485705),
    c64::new(0.9999811752826011, 0.006135884649154475),
    c64::new(0.9999705864309741, 0.007669828739531097),
    c64::new(0.9999576445519639, 0.00920375478205982),
    c64::new(0.9999423496760239, 0.01073765916726449),
    c64::new(0.9999247018391445, 0.012271538285719925),
    c64::new(0.9999047010828529, 0.01380538852806039),
    c64::new(0.9998823474542126, 0.0153392062849881),
    c64::new(0.9998576410058239, 0.01687298794728171),
    c64::new(0.9998305817958234, 0.01840672990580482),
    c64::new(0.9998011698878843, 0.01994042855151444),
    c64::new(0.9997694053512153, 0.021474080275469508),
    c64::new(0.9997352882605617, 0.02300768146883937),
    c64::new(0.9996988186962042, 0.024541228522912288),
    c64::new(0.9996599967439592, 0.0260747178291039),
    c64::new(0.9996188224951786, 0.02760814577896574),
    c64::new(0.9995752960467492, 0.029141508764193722),
    c64::new(0.9995294175010931, 0.030674803176636626),
    c64::new(0.999481186966167, 0.032208025408304586),
    c64::new(0.9994306045554617, 0.03374117185137758),
    c64::new(0.9993776703880028, 0.03527423889821395),
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    c64::new(-0.9160649657993317, 0.4010298971835756),
    c64::new(-0.9166790599210426, 0.39962419984564707),
    c64::new(-0.9172909970083779, 0.39821756215337367),
    c64::new(-0.9179007756213905, 0.39680998741671025),
    c64::new(-0.9185083943252121, 0.3954014789478165),
    c64::new(-0.9191138516900578, 0.39399204006104815),
    c64::new(-0.9197171462912274, 0.3925816740729514),
    c64::new(-0.9203182767091105, 0.39117038430225404),
    c64::new(-0.9209172415291894, 0.38975817406985647),
    c64::new(-0.9215140393420418, 0.3883450466988266),
    c64::new(-0.9221086687433451, 0.3869310055143887),
    c64::new(-0.9227011283338786, 0.38551605384391885),
    c64::new(-0.9232914167195275, 0.3841001950169353),
    c64::new(-0.9238795325112867, 0.38268343236508984),
    c64::new(-0.9244654743252627, 0.3812657692221623),
    c64::new(-0.9250492407826775, 0.3798472089240514),
    c64::new(-0.9256308305098727, 0.3784277548087656),
    c64::new(-0.9262102421383114, 0.37700741021641815),
    c64::new(-0.9267874743045817, 0.3755861784892174),
    c64::new(-0.9273625256504011, 0.374164062971458),
    c64::new(-0.9279353948226178, 0.37274106700951604),
    c64::new(-0.9285060804732155, 0.37131719395183765),
    c64::new(-0.9290745812593157, 0.3698924471489341),
    c64::new(-0.9296408958431812, 0.3684668299533726),
    c64::new(-0.930205022892219, 0.3670403457197673),
    c64::new(-0.9307669610789837, 0.3656129978047738),
    c64::new(-0.9313267090811803, 0.3641847895670801),
    c64::new(-0.9318842655816681, 0.3627557243673973),
    c64::new(-0.9324396292684625, 0.3613258055684542),
    c64::new(-0.9329927988347388, 0.35989503653498833),
    c64::new(-0.9335437729788362, 0.3584634206337366),
    c64::new(-0.9340925504042588, 0.3570309612334303),
    c64::new(-0.9346391298196807, 0.355597661704784),
    c64::new(-0.9351835099389476, 0.35416352542049034),
    c64::new(-0.9357256894810803, 0.35272855575521095),
    c64::new(-0.9362656671702783, 0.3512927560855672),
    c64::new(-0.9368034417359217, 0.34985612979013486),
    c64::new(-0.9373390119125748, 0.3484186802494348),
    c64::new(-0.9378723764399898, 0.34698041084592374),
    c64::new(-0.9384035340631082, 0.345541324963989),
    c64::new(-0.9389324835320645, 0.34410142598993904),
    c64::new(-0.9394592236021899, 0.34266071731199443),
    c64::new(-0.9399837530340138, 0.3412192023202827),
    c64::new(-0.9405060705932683, 0.339776884406827),
    c64::new(-0.9410261750508893, 0.3383337669655411),
    c64::new(-0.9415440651830207, 0.3368898533922203),
    c64::new(-0.9420597397710173, 0.3354451470845317),
    c64::new(-0.9425731976014469, 0.3339996514420093),
    c64::new(-0.9430844374660934, 0.33255336986604445),
    c64::new(-0.9435934581619604, 0.3311063057598765),
    c64::new(-0.9441002584912727, 0.32965846252858744),
    c64::new(-0.9446048372614801, 0.3282098435790927),
    c64::new(-0.9451071932852606, 0.3267604523201318),
    c64::new(-0.9456073253805213, 0.3253102921622632),
    c64::new(-0.9461052323704033, 0.323859366517853),
    c64::new(-0.9466009130832835, 0.32240767880106985),
    c64::new(-0.9470943663527771, 0.3209552324278755),
    c64::new(-0.9475855910177411, 0.3195020308160158),
    c64::new(-0.9480745859222762, 0.3180480773850149),
    c64::new(-0.9485613499157303, 0.31659337555616607),
    c64::new(-0.9490458818527006, 0.31513792875252244),
    c64::new(-0.9495281805930367, 0.3136817403988914),
    c64::new(-0.950008245001843, 0.3122248139218251),
    c64::new(-0.9504860739494817, 0.31076715274961153),
    c64::new(-0.950961666311575, 0.309308760312269),
    c64::new(-0.9514350209690083, 0.30784964004153503),
    c64::new(-0.9519061368079323, 0.3063897953708609),
    c64::new(-0.9523750127197658, 0.30492922973540265),
    c64::new(-0.9528416476011986, 0.3034679465720114),
    c64::new(-0.9533060403541939, 0.30200594931922803),
    c64::new(-0.9537681898859902, 0.3005432414172737),
    c64::new(-0.9542280951091056, 0.29907982630804053),
    c64::new(-0.9546857549413383, 0.29761570743508614),
    c64::new(-0.9551411683057707, 0.296150888243624),
    c64::new(-0.9555943341307711, 0.2946853721805144),
    c64::new(-0.9560452513499964, 0.29321916269425896),
    c64::new(-0.956493918902395, 0.29175226323498943),
    c64::new(-0.9569403357322088, 0.29028467725446233),
    c64::new(-0.9573845007889759, 0.28881640820604976),
    c64::new(-0.9578264130275329, 0.2873474595447296),
    c64::new(-0.9582660714080177, 0.28587783472708056),
    c64::new(-0.9587034748958715, 0.28440753721127204),
    c64::new(-0.9591386224618419, 0.28293657045705545),
    c64::new(-0.9595715130819845, 0.2814649379257579),
    c64::new(-0.9600021457376658, 0.27999264308027344),
    c64::new(-0.9604305194155658, 0.2785196893850531),
    c64::new(-0.9608566331076795, 0.27704608030610023),
    c64::new(-0.9612804858113206, 0.2755718193109583),
    c64::new(-0.9617020765291225, 0.2740969098687064),
    c64::new(-0.9621214042690416, 0.27262135544994925),
    c64::new(-0.9625384680443592, 0.2711451595268081),
    c64::new(-0.9629532668736839, 0.26966832557291504),
    c64::new(-0.9633657997809539, 0.2681908570634034),
    c64::new(-0.9637760657954398, 0.2667127574748985),
    c64::new(-0.9641840639517458, 0.26523403028551173),
    c64::new(-0.9645897932898126, 0.26375467897483157),
    c64::new(-0.9649932528549203, 0.26227470702391364),
    c64::new(-0.9653944416976893, 0.26079411791527585),
    c64::new(-0.9657933588740836, 0.2593129151328864),
    c64::new(-0.9661900034454125, 0.257831102162159),
    c64::new(-0.966584374478333, 0.25634868248994314),
    c64::new(-0.9669764710448521, 0.2548656596045147),
    c64::new(-0.9673662922223285, 0.2533820369955701),
    c64::new(-0.9677538370934754, 0.2518978181542172),
    c64::new(-0.9681391047463623, 0.25041300657296534),
    c64::new(-0.9685220942744174, 0.2489276057457201),
    c64::new(-0.9689028047764289, 0.2474416191677735),
    c64::new(-0.9692812353565485, 0.24595505033579465),
    c64::new(-0.9696573851242923, 0.24446790274782448),
    c64::new(-0.970031253194544, 0.24298017990326404),
    c64::new(-0.9704028386875555, 0.24149188530286933),
    c64::new(-0.9707721407289502, 0.24000302244874175),
    c64::new(-0.9711391584497251, 0.23851359484431855),
    c64::new(-0.9715038909862518, 0.23702360599436717),
    c64::new(-0.9718663374802793, 0.23553305940497574),
    c64::new(-0.9722264970789363, 0.23404195858354349),
    c64::new(-0.9725843689347322, 0.23255030703877516),
    c64::new(-0.9729399522055601, 0.2310581082806713),
    c64::new(-0.9732932460546982, 0.22956536582051892),
    c64::new(-0.9736442496508119, 0.22807208317088606),
    c64::new(-0.9739929621679558, 0.22657826384561017),
    c64::new(-0.9743393827855759, 0.22508391135979283),
    c64::new(-0.9746835106885107, 0.22358902922979026),
    c64::new(-0.9750253450669941, 0.22209362097320365),
    c64::new(-0.975364885116657, 0.22059769010887348),
    c64::new(-0.9757021300385285, 0.21910124015687002),
    c64::new(-0.976037079039039, 0.21760427463848372),
    c64::new(-0.9763697313300211, 0.21610679707621944),
    c64::new(-0.9767000861287117, 0.21460881099378698),
    c64::new(-0.9770281426577544, 0.21311031991609142),
    c64::new(-0.9773539001452, 0.2116113273692279),
    c64::new(-0.9776773578245099, 0.21011183688046978),
    c64::new(-0.9779985149345571, 0.20861185197826349),
    c64::new(-0.9783173707196275, 0.20711137619221884),
    c64::new(-0.9786339244294231, 0.20561041305309938),
    c64::new(-0.9789481753190622, 0.20410896609281684),
    c64::new(-0.979260122649082, 0.20260703884442136),
    c64::new(-0.9795697656854405, 0.20110463484209198),
    c64::new(-0.9798771036995176, 0.1996017576211309),
    c64::new(-0.9801821359681173, 0.19809841071795378),
    c64::new(-0.9804848617734694, 0.19659459767008028),
    c64::new(-0.9807852804032304, 0.19509032201612858),
    c64::new(-0.9810833911504866, 0.19358558729580377),
    c64::new(-0.9813791933137546, 0.19208039704989244),
    c64::new(-0.9816726861969831, 0.19057475482025305),
    c64::new(-0.9819638691095552, 0.18906866414980633),
    c64::new(-0.9822527413662894, 0.18756212858252957),
    c64::new(-0.9825393022874412, 0.18605515166344688),
    c64::new(-0.9828235511987052, 0.1845477369386197),
    c64::new(-0.9831054874312164, 0.1830398879551409),
    c64::new(-0.9833851103215512, 0.1815316082611252),
    c64::new(-0.9836624192117303, 0.18002290140569957),
    c64::new(-0.9839374134492189, 0.1785137709389974),
    c64::new(-0.984210092386929, 0.17700422041214892),
    c64::new(-0.9844804553832209, 0.17549425337727143),
    c64::new(-0.9847485018019042, 0.1739838733874641),
    c64::new(-0.9850142310122398, 0.1724730839967961),
    c64::new(-0.9852776423889412, 0.1709618887603012),
    c64::new(-0.9855387353121761, 0.1694502912339682),
    c64::new(-0.9857975091675674, 0.16793829497473126),
    c64::new(-0.9860539633461954, 0.16642590354046405),
    c64::new(-0.9863080972445986, 0.16491312048997012),
    c64::new(-0.9865599102647754, 0.16339994938297328),
    c64::new(-0.9868094018141855, 0.16188639378011171),
    c64::new(-0.987056571305751, 0.16037245724292842),
    c64::new(-0.9873014181578584, 0.15885814333386145),
    c64::new(-0.9875439417943592, 0.15734345561623855),
    c64::new(-0.9877841416445722, 0.15582839765426537),
    c64::new(-0.9880220171432835, 0.15431297301302008),
    c64::new(-0.9882575677307495, 0.15279718525844369),
    c64::new(-0.9884907928526966, 0.1512810379573303),
    c64::new(-0.9887216919603238, 0.14976453467732145),
    c64::new(-0.988950264510303, 0.14824767898689625),
    c64::new(-0.989176509964781, 0.1467304744553618),
    c64::new(-0.9894004277913804, 0.14521292465284735),
    c64::new(-0.9896220174632008, 0.14369503315029464),
    c64::new(-0.9898412784588205, 0.14217680351944806),
    c64::new(-0.990058210262297, 0.14065823933284952),
    c64::new(-0.9902728123631691, 0.13913934416382634),
    c64::new(-0.9904850842564571, 0.137620121586486),
    c64::new(-0.9906950254426646, 0.13610057517570645),
    c64::new(-0.99090263542778, 0.13458070850712628),
    c64::new(-0.9911079137232769, 0.133060525157139),
    c64::new(-0.9913108598461154, 0.1315400287028833),
    c64::new(-0.9915114733187439, 0.1300192227222334),
    c64::new(-0.9917097536690995, 0.12849811079379306),
    c64::new(-0.9919057004306093, 0.12697669649688603),
    c64::new(-0.9920993131421918, 0.12545498341154626),
    c64::new(-0.9922905913482573, 0.12393297511851248),
    c64::new(-0.99247953459871, 0.12241067519921635),
    c64::new(-0.992666142448948, 0.12088808723577707),
    c64::new(-0.9928504144598651, 0.11936521481099163),
    c64::new(-0.9930323501978514, 0.11784206150832509),
    c64::new(-0.9932119492347945, 0.11631863091190471),
    c64::new(-0.9933892111480807, 0.11479492660651032),
    c64::new(-0.9935641355205953, 0.11327095217756442),
    c64::new(-0.9937367219407246, 0.1117467112111265),
    c64::new(-0.9939069700023561, 0.11022220729388325),
    c64::new(-0.9940748793048794, 0.10869744401313874),
    c64::new(-0.9942404494531879, 0.10717242495680916),
    c64::new(-0.9944036800576791, 0.10564715371341077),
    c64::new(-0.9945645707342554, 0.10412163387205457),
    c64::new(-0.9947231211043257, 0.10259586902243656),
    c64::new(-0.9948793307948056, 0.10106986275482793),
    c64::new(-0.9950331994381186, 0.09954361866006928),
    c64::new(-0.9951847266721968, 0.09801714032956084),
    c64::new(-0.9953339121404823, 0.09649043135525266),
    c64::new(-0.9954807554919269, 0.09496349532963891),
    c64::new(-0.9956252563809943, 0.09343633584574798),
    c64::new(-0.9957674144676598, 0.09190895649713277),
    c64::new(-0.9959072294174117, 0.0903813608778653),
    c64::new(-0.996044700901252, 0.08885355258252475),
    c64::new(-0.996179828595697, 0.08732553520619206),
    c64::new(-0.996312612182778, 0.08579731234444016),
    c64::new(-0.9964430513500426, 0.08426888759332418),
    c64::new(-0.9965711457905548, 0.08274026454937565),
    c64::new(-0.9966968952028961, 0.08121144680959266),
    c64::new(-0.9968202992911657, 0.0796824379714302),
    c64::new(-0.9969413577649822, 0.07815324163279415),
    c64::new(-0.997060070339483, 0.07662386139203169),
    c64::new(-0.9971764367353261, 0.07509430084792135),
    c64::new(-0.9972904566786902, 0.07356456359966775),
    c64::new(-0.9974021299012753, 0.07203465324688949),
    c64::new(-0.9975114561403035, 0.07050457338961386),
    c64::new(-0.9976184351385196, 0.06897432762826702),
    c64::new(-0.9977230666441916, 0.06744391956366418),
    c64::new(-0.9978253504111116, 0.06591335279700376),
    c64::new(-0.997925286198596, 0.0643826309298577),
    c64::new(-0.9980228737714862, 0.06285175756416149),
    c64::new(-0.9981181129001492, 0.061320736302208495),
    c64::new(-0.9982110033604782, 0.05978957074664007),
    c64::new(-0.9983015449338929, 0.058258264500435794),
    c64::new(-0.9983897374073402, 0.05672682116690807),
    c64::new(-0.9984755805732948, 0.055195244349690094),
    c64::new(-0.9985590742297593, 0.05366353765273052),
    c64::new(-0.9986402181802652, 0.0521317046802836),
    c64::new(-0.9987190122338729, 0.0505997490368994),
    c64::new(-0.9987954562051724, 0.04906767432741797),
    c64::new(-0.9988695499142836, 0.047535484156959545),
    c64::new(-0.9989412931868569, 0.046003182130914706),
    c64::new(-0.9990106858540734, 0.044470771854938584),
    c64::new(-0.9990777277526454, 0.04293825693494102),
    c64::new(-0.9991424187248169, 0.04140564097707678),
    c64::new(-0.9992047586183639, 0.03987292758774013),
    c64::new(-0.9992647472865944, 0.038340120373552854),
    c64::new(-0.9993223845883495, 0.03680722294135883),
    c64::new(-0.9993776703880028, 0.03527423889821423),
    c64::new(-0.9994306045554617, 0.033741171851377705),
    c64::new(-0.999481186966167, 0.032208025408304544),
    c64::new(-0.9995294175010931, 0.030674803176636865),
    c64::new(-0.9995752960467492, 0.029141508764193802),
    c64::new(-0.9996188224951786, 0.027608145778965656),
    c64::new(-0.9996599967439592, 0.0260747178291041),
    c64::new(-0.9996988186962042, 0.024541228522912326),
    c64::new(-0.9997352882605617, 0.02300768146883969),
    c64::new(-0.9997694053512153, 0.021474080275469667),
    c64::new(-0.9998011698878843, 0.019940428551514438),
    c64::new(-0.9998305817958234, 0.0184067299058051),
    c64::new(-0.9998576410058239, 0.016872987947281832),
    c64::new(-0.9998823474542126, 0.01533920628498806),
    c64::new(-0.9999047010828528, 0.013805388528060633),
    c64::new(-0.9999247018391445, 0.012271538285720007),
    c64::new(-0.9999423496760239, 0.01073765916726441),
    c64::new(-0.9999576445519639, 0.009203754782060022),
    c64::new(-0.9999705864309741, 0.007669828739531138),
    c64::new(-0.9999811752826011, 0.006135884649154799),
    c64::new(-0.9999894110819284, 0.004601926120448733),
    c64::new(-0.9999952938095762, 0.003067956762965977),
    c64::new(-0.9999988234517019, 0.0015339801862850493),
];

static INVERSE_TWIDDLES_2048: [c64; 2048] = [
    c64::new(0.00048828125, -0.0),
    c64::new(0.0004882806755135263, -7.490137628343582e-07),
    c64::new(0.0004882789520554571, -1.4980257631669805e-06),
    c64::new(0.00048827607962984785, -2.2470342385002786e-06),
    c64::new(0.00048827205824345757, -2.9960374263449586e-06),
    c64::new(0.0004882668879057491, -3.7450335642241685e-06),
    c64::new(0.0004882605686288886, -4.494020889677646e-06),
    c64::new(0.00048825310042774605, -5.2429976402658645e-06),
    c64::new(0.0004882444833198948, -5.991962053574182e-06),
    c64::new(0.00048823471732561177, -6.740912367216988e-06),
    c64::new(0.0004882238024678772, -7.489846818841846e-06),
    c64::new(0.00048821173877237493, -8.238763646133648e-06),
    c64::new(0.0004881985262674919, -8.98766108681876e-06),
    c64::new(0.0004881841649843185, -9.73653737866916e-06),
    c64::new(0.0004881686549566481, -1.0485390759506596e-05),
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    c64::new(-0.0004647979183632482, -0.00014960439227092818),
    c64::new(-0.00046502686167957313, -0.00014889122545673958),
    c64::new(-0.00046525471074277276, -0.00014817770828711495),
    c64::new(-0.0004654814650166962, -0.0001474638424410293),
    c64::new(-0.00046570712396776866, -0.00014674962959827816),
    c64::new(-0.00046593168706499295, -0.00014603507143947292),
    c64::new(-0.00046615515377995036, -0.00014532016964603815),
    c64::new(-0.0004663775235868021, -0.00014460492590020704),
    c64::new(-0.0004665987959622906, -0.0001438893418850168),
    c64::new(-0.00046681897038574043, -0.00014317341928430613),
    c64::new(-0.00046703804633906005, -0.00014245715978270968),
    c64::new(-0.0004672560233067426, -0.00014174056506565544),
    c64::new(-0.0004674729007758671, -0.00014102363681936023),
    c64::new(-0.00046768867823610005, -0.000140306376730825),
    c64::new(-0.00046790335517969613, -0.0001395887864878323),
    c64::new(-0.00046811693110149975, -0.00013887086777894143),
    c64::new(-0.00046832940549894624, -0.0001381526222934841),
    c64::new(-0.00046854077787206275, -0.00013743405172156147),
    c64::new(-0.00046875104772346965, -0.00013671515775403977),
    c64::new(-0.00046896021455838173, -0.00013599594208254547),
    c64::new(-0.00046916827788460915, -0.000135276406399463),
    c64::new(-0.0004693752372125589, -0.00013455655239792886),
    c64::new(-0.0004695810920552356, -0.0001338363817718293),
    c64::new(-0.00046978584192824296, -0.00013311589621579553),
    c64::new(-0.00046998948634978475, -0.00013239509742519928),
    c64::new(-0.00047019202484066596, -0.00013167398709614992),
    c64::new(-0.0004703934569242939, -0.00013095256692548994),
    c64::new(-0.0004705937821266796, -0.00013023083861079027),
    c64::new(-0.0004707929999764384, -0.00012950880385034753),
    c64::new(-0.00047099111000479133, -0.00012878646434317948),
    c64::new(-0.00047118811174556656, -0.00012806382178902033),
    c64::new(-0.00047138400473519985, -0.00012734087788831828),
    c64::new(-0.0004715787885127361, -0.0001266176343422297),
    c64::new(-0.0004717724626198303, -0.0001258940928526167),
    c64::new(-0.00047196502660074854, -0.00012517025512204255),
    c64::new(-0.0004721564800023692, -0.00012444612285376693),
    c64::new(-0.00047234682237418384, -0.00012372169775174321),
    c64::new(-0.00047253605326829854, -0.00012299698152061386),
    c64::new(-0.00047272417223943473, -0.00012227197586570573),
    c64::new(-0.00047291117884493036, -0.00012154668249302739),
    c64::new(-0.00047309707264474066, -0.0001208211031092644),
    c64::new(-0.0004732818532014397, -0.00012009523942177473),
    c64::new(-0.00047346552008022087, -0.00011936909313858617),
    c64::new(-0.0004736480728488984, -0.00011864266596839064),
    c64::new(-0.00047382951107790796, -0.00011791595962054167),
    c64::new(-0.00047400983434030773, -0.00011718897580504968),
    c64::new(-0.00047418904221177983, -0.00011646171623257742),
    c64::new(-0.00047436713427063075, -0.0001157341826144371),
    c64::new(-0.0004745441100977926, -0.00011500637666258581),
    c64::new(-0.00047471996927682435, -0.00011427830008962084),
    c64::new(-0.0004748947113939122, -0.00011354995460877693),
    c64::new(-0.0004750683360378711, -0.00011282134193392154),
    c64::new(-0.00047524084280014563, -0.00011209246377955026),
    c64::new(-0.0004754122312748105, -0.00011136332186078421),
    c64::new(-0.0004755825010585722, -0.00011063391789336434),
    c64::new(-0.00047575165175076946, -0.00010990425359364884),
    c64::new(-0.00047591968295337435, -0.00010917433067860853),
    c64::new(-0.0004760865942709932, -0.0001084441508658221),
    c64::new(-0.00047625238531086766, -0.00010771371587347338),
    c64::new(-0.0004764170556828752, -0.00010698302742034669),
    c64::new(-0.0004765806049995308, -0.00010625208722582213),
    c64::new(-0.0004767430328759869, -0.00010552089700987277),
    c64::new(-0.000476904338930035, -0.00010478945849306005),
    c64::new(-0.00047706452278210664, -0.00010405777339652901),
    c64::new(-0.0004772235840552734, -0.0001033258434420058),
    c64::new(-0.000477381522375249, -0.00010259367035179188),
    c64::new(-0.00047753833737038923, -0.00010186125584876147),
    c64::new(-0.00047769402867169314, -0.00010112860165635685),
    c64::new(-0.00047784859591280425, -0.00010039570949858368),
    c64::new(-0.00047800203873001084, -9.966258110000822e-05),
    c64::new(-0.0004781543567622471, -9.892921818575261e-05),
    c64::new(-0.000478305549651094, -9.819562248149023e-05),
    c64::new(-0.0004784556170407801, -9.746179571344282e-05),
    c64::new(-0.0004786045585781823, -9.672773960837587e-05),
    c64::new(-0.00047875237391282685, -9.599345589359389e-05),
    c64::new(-0.00047889906269688986, -9.525894629693778e-05),
    c64::new(-0.00047904462458519853, -9.452421254677919e-05),
    c64::new(-0.0004791890592352317, -9.378925637201779e-05),
    c64::new(-0.00047933236630712066, -9.305407950207668e-05),
    c64::new(-0.00047947454546365, -9.231868366689762e-05),
    c64::new(-0.0004796155963702585, -9.158307059693827e-05),
    c64::new(-0.00047975551869503967, -9.084724202316742e-05),
    c64::new(-0.0004798943121087428, -9.01111996770604e-05),
    c64::new(-0.00048003197628477363, -8.937494529059614e-05),
    c64::new(-0.0004801685108991949, -8.863848059625253e-05),
    c64::new(-0.00048030391563072766, -8.790180732700174e-05),
    c64::new(-0.00048043819016075143, -8.716492721630732e-05),
    c64::new(-0.0004805713341733052, -8.642784199811959e-05),
    c64::new(-0.00048070334735508835, -8.569055340687081e-05),
    c64::new(-0.00048083422939546104, -8.49530631774727e-05),
    c64::new(-0.00048096397998644523, -8.421537304531059e-05),
    c64::new(-0.0004810925988227252, -8.347748474624082e-05),
    c64::new(-0.00048122008560164847, -8.273940001658604e-05),
    c64::new(-0.00048134644002322625, -8.20011205931305e-05),
    c64::new(-0.0004814716617901345, -8.126264821311721e-05),
    c64::new(-0.00048159575060771414, -8.052398461424322e-05),
    c64::new(-0.00048171870618397237, -7.978513153465492e-05),
    c64::new(-0.0004818405282295828, -7.904609071294517e-05),
    c64::new(-0.0004819612164578862, -7.830686388814864e-05),
    c64::new(-0.0004820807705848918, -7.756745279973703e-05),
    c64::new(-0.00048219919032927697, -7.682785918761648e-05),
    c64::new(-0.00048231647541238876, -7.608808479212176e-05),
    c64::new(-0.0004824326255582439, -7.534813135401371e-05),
    c64::new(-0.00048254764049353, -7.460800061447446e-05),
    c64::new(-0.00048266151994760576, -7.386769431510269e-05),
    c64::new(-0.00048277426365250185, -7.312721419791087e-05),
    c64::new(-0.0004828858713429214, -7.238656200532044e-05),
    c64::new(-0.00048299634275624073, -7.164573948015713e-05),
    c64::new(-0.00048310567763250995, -7.090474836564812e-05),
    c64::new(-0.0004832138757144535, -7.01635904054173e-05),
    c64::new(-0.00048332093674747096, -6.94222673434805e-05),
    c64::new(-0.0004834268604796372, -6.868078092424293e-05),
    c64::new(-0.00048353164666170367, -6.793913289249333e-05),
    c64::new(-0.0004836352950470982, -6.719732499340137e-05),
    c64::new(-0.0004837378053919261, -6.645535897251292e-05),
    c64::new(-0.0004838391774549707, -6.571323657574525e-05),
    c64::new(-0.0004839394109976938, -6.497095954938428e-05),
    c64::new(-0.00048403850578423606, -6.422852964007974e-05),
    c64::new(-0.0004841364615814179, -6.348594859484053e-05),
    c64::new(-0.00048423327815874, -6.274321816103177e-05),
    c64::new(-0.00048432895528838346, -6.200034008637013e-05),
    c64::new(-0.00048442349274521084, -6.125731611891907e-05),
    c64::new(-0.00048451689030676624, -6.051414800708617e-05),
    c64::new(-0.00048460914775327635, -5.977083749961736e-05),
    c64::new(-0.0004847002648676504, -5.902738634559427e-05),
    c64::new(-0.000484790241435481, -5.828379629442951e-05),
    c64::new(-0.00048487907724504463, -5.754006909586186e-05),
    c64::new(-0.000484966772087302, -5.679620649995347e-05),
    c64::new(-0.00048505332575589876, -5.605221025708512e-05),
    c64::new(-0.0004851387380471657, -5.5308082117951375e-05),
    c64::new(-0.00048522300876011943, -5.456382383355786e-05),
    c64::new(-0.0004853061376964629, -5.381943715521643e-05),
    c64::new(-0.00048538812466058563, -5.30749238345404e-05),
    c64::new(-0.0004854689694595644, -5.2330285623441974e-05),
    c64::new(-0.0004855486719031636, -5.158552427412635e-05),
    c64::new(-0.00048562723180383565, -5.084064153908915e-05),
    c64::new(-0.00048570464897672153, -5.00956391711116e-05),
    c64::new(-0.0004857809232396512, -4.9350518923255827e-05),
    c64::new(-0.00048585605441314386, -4.860528254886195e-05),
    c64::new(-0.0004859300423204086, -4.785993180154338e-05),
    c64::new(-0.00048600288678734486, -4.7114468435181964e-05),
    c64::new(-0.00048607458764254245, -4.636889420392525e-05),
    c64::new(-0.0004861451447172824, -4.562321086218163e-05),
    c64::new(-0.000486214557845537, -4.487742016461561e-05),
    c64::new(-0.00048628282686397057, -4.413152386614517e-05),
    c64::new(-0.00048634995161193944, -4.3385523721935915e-05),
    c64::new(-0.00048641593193149267, -4.2639421487398466e-05),
    c64::new(-0.00048648076766737207, -4.189321891818367e-05),
    c64::new(-0.000486544458667013, -4.114691777017782e-05),
    c64::new(-0.00048660700478054435, -4.040051979949983e-05),
    c64::new(-0.0004866684058607891, -3.965402676249642e-05),
    c64::new(-0.0004867286617632645, -3.89074404157374e-05),
    c64::new(-0.0004867877723461827, -3.816076251601277e-05),
    c64::new(-0.00048684573747045067, -3.741399482032797e-05),
    c64::new(-0.00048690255699967094, -3.6667139085899095e-05),
    c64::new(-0.0004869582308001417, -3.5920197070150266e-05),
    c64::new(-0.0004870127587408571, -3.5173170530707756e-05),
    c64::new(-0.00048706614069350755, -3.442606122539739e-05),
    c64::new(-0.00048711837653248025, -3.367887091223976e-05),
    c64::new(-0.0004871694661348592, -3.29316013494454e-05),
    c64::new(-0.0004872194093804256, -3.2184254295411994e-05),
    c64::new(-0.0004872682061516582, -3.143683150871958e-05),
    c64::new(-0.0004873158563337335, -3.068933474812573e-05),
    c64::new(-0.00048736235981452597, -2.9941765772562742e-05),
    c64::new(-0.0004874077164846085, -2.9194126341132846e-05),
    c64::new(-0.0004874519262372524, -2.8446418213103415e-05),
    c64::new(-0.0004874949889684278, -2.769864314790433e-05),
    c64::new(-0.0004875369045768041, -2.6950802905122116e-05),
    c64::new(-0.00048757767296374966, -2.6202899244497324e-05),
    c64::new(-0.0004876172940333326, -2.5454933925919727e-05),
    c64::new(-0.00048765576769232077, -2.4706908709423535e-05),
    c64::new(-0.00048769309385018184, -2.3958825355184557e-05),
    c64::new(-0.00048772927241908377, -2.3210685623515403e-05),
    c64::new(-0.00048776430331389496, -2.2462491274860696e-05),
    c64::new(-0.00048779818645218427, -2.171424406979423e-05),
    c64::new(-0.00048783092175422137, -2.096594576901417e-05),
    c64::new(-0.000487862509142977, -2.0217598133338272e-05),
    c64::new(-0.000487892948544123, -1.9469202923701235e-05),
    c64::new(-0.00048792223988603243, -1.8720761901148854e-05),
    c64::new(-0.00048795038309978005, -1.7972276826835367e-05),
    c64::new(-0.000487977378119142, -1.7223749462018668e-05),
    c64::new(-0.00048800322488059655, -1.647518156805552e-05),
    c64::new(-0.0004880279233233237, -1.5726574906398703e-05),
    c64::new(-0.00048805147338920564, -1.497793123859222e-05),
    c64::new(-0.00048807387502282677, -1.4229252326266505e-05),
    c64::new(-0.00048809512817147394, -1.3480539931135574e-05),
    c64::new(-0.00048811523278513634, -1.2731795814992236e-05),
    c64::new(-0.000488134188816506, -1.1983021739703284e-05),
    c64::new(-0.0004881519962209774, -1.123421946720688e-05),
    c64::new(-0.0004881686549566481, -1.0485390759506674e-05),
    c64::new(-0.0004881841649843185, -9.736537378669159e-06),
    c64::new(-0.0004881985262674919, -8.987661086818897e-06),
    c64::new(-0.00048821173877237493, -8.238763646133707e-06),
    c64::new(-0.0004882238024678772, -7.489846818841826e-06),
    c64::new(-0.0004882347173256117, -6.740912367217106e-06),
    c64::new(-0.0004882444833198948, -5.991962053574222e-06),
    c64::new(-0.00048825310042774605, -5.2429976402658256e-06),
    c64::new(-0.0004882605686288886, -4.494020889677745e-06),
    c64::new(-0.0004882668879057491, -3.7450335642241884e-06),
    c64::new(-0.00048827205824345757, -2.9960374263451166e-06),
    c64::new(-0.00048827607962984785, -2.2470342385003578e-06),
    c64::new(-0.0004882789520554571, -1.498025763166981e-06),
    c64::new(-0.0004882806755135263, -7.490137628344968e-07),
];

static TWIDDLES_4096: [c64; 4096] = [
    c64::new(1.0, 0.0),
    c64::new(0.9999997058628822, 0.0007669903187427045),
    c64::new(0.9999988234517019, 0.0015339801862847655),
    c64::new(0.9999973527669782, 0.002300969151425805),
    c64::new(0.9999952938095762, 0.003067956762965976),
    c64::new(0.9999926465807072, 0.0038349425697062275),
    c64::new(0.9999894110819284, 0.0046019261204485705),
    c64::new(0.9999855873151432, 0.0053689069639963425),
    c64::new(0.9999811752826011, 0.006135884649154475),
    c64::new(0.9999761749868976, 0.006902858724729756),
    c64::new(0.9999705864309741, 0.007669828739531097),
    c64::new(0.9999644096181183, 0.008436794242369799),
    c64::new(0.9999576445519639, 0.00920375478205982),
    c64::new(0.9999502912364905, 0.00997070990741803),
    c64::new(0.9999423496760239, 0.01073765916726449),
    c64::new(0.999933819875236, 0.011504602110422714),
    c64::new(0.9999247018391445, 0.012271538285719925),
    c64::new(0.9999149955731135, 0.013038467241987334),
    c64::new(0.9999047010828529, 0.01380538852806039),
    c64::new(0.9998938183744185, 0.014572301692779064),
    c64::new(0.9998823474542126, 0.0153392062849881),
    c64::new(0.999870288328983, 0.016106101853537287),
    c64::new(0.9998576410058239, 0.01687298794728171),
    c64::new(0.9998444054921752, 0.017639864115082053),
    c64::new(0.9998305817958234, 0.01840672990580482),
    c64::new(0.9998161699249004, 0.019173584868322623),
    c64::new(0.9998011698878843, 0.01994042855151444),
    c64::new(0.9997855816935992, 0.020707260504265895),
    c64::new(0.9997694053512153, 0.021474080275469508),
    c64::new(0.9997526408702488, 0.02224088741402496),
    c64::new(0.9997352882605617, 0.02300768146883937),
    c64::new(0.9997173475323622, 0.023774461988827555),
    c64::new(0.9996988186962042, 0.024541228522912288),
    c64::new(0.9996797017629879, 0.02530798062002457),
    c64::new(0.9996599967439592, 0.0260747178291039),
    c64::new(0.9996397036507102, 0.02684143969909853),
    c64::new(0.9996188224951786, 0.02760814577896574),
    c64::new(0.9995973532896484, 0.0283748356176721),
    c64::new(0.9995752960467492, 0.029141508764193722),
    c64::new(0.999552650779457, 0.029908164767516555),
    c64::new(0.9995294175010931, 0.030674803176636626),
    c64::new(0.9995055962253253, 0.0314414235405603),
    c64::new(0.999481186966167, 0.032208025408304586),
    c64::new(0.9994561897379773, 0.032974608328897335),
    c64::new(0.9994306045554617, 0.03374117185137758),
    c64::new(0.9994044314336713, 0.03450771552479575),
    c64::new(0.9993776703880028, 0.03527423889821395),
    c64::new(0.9993503214341994, 0.03604074152070623),
    c64::new(0.9993223845883495, 0.03680722294135883),
    c64::new(0.9992938598668878, 0.037573682709270494),
    c64::new(0.9992647472865944, 0.038340120373552694),
    c64::new(0.9992350468645959, 0.03910653548332989),
    c64::new(0.9992047586183639, 0.03987292758773981),
    c64::new(0.9991738825657164, 0.040639296235933736),
    c64::new(0.9991424187248169, 0.04140564097707674),
    c64::new(0.9991103671141749, 0.04217196136034795),
    c64::new(0.9990777277526454, 0.04293825693494082),
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    c64::new(-0.9829648084413964, 0.18379386650747845),
    c64::new(-0.9831054874312164, 0.1830398879551409),
    c64::new(-0.9832455880854071, 0.1822858017251536),
    c64::new(-0.9833851103215512, 0.1815316082611252),
    c64::new(-0.9835240540575713, 0.18077730800672873),
    c64::new(-0.9836624192117303, 0.18002290140569957),
    c64::new(-0.9838002057026316, 0.17926838890183572),
    c64::new(-0.9839374134492189, 0.1785137709389974),
    c64::new(-0.9840740423707764, 0.17775904796110742),
    c64::new(-0.984210092386929, 0.17700422041214892),
    c64::new(-0.9843455634176419, 0.17624928873616796),
    c64::new(-0.9844804553832209, 0.17549425337727143),
    c64::new(-0.9846147682043126, 0.17473911477962714),
    c64::new(-0.9847485018019042, 0.1739838733874641),
    c64::new(-0.9848816560973237, 0.17322852964507054),
    c64::new(-0.9850142310122398, 0.1724730839967961),
    c64::new(-0.9851462264686621, 0.17171753688705002),
    c64::new(-0.9852776423889412, 0.1709618887603012),
    c64::new(-0.9854084786957684, 0.17020614006107795),
    c64::new(-0.9855387353121761, 0.1694502912339682),
    c64::new(-0.9856684121615376, 0.1686943427236175),
    c64::new(-0.9857975091675674, 0.16793829497473126),
    c64::new(-0.9859260262543211, 0.16718214843207294),
    c64::new(-0.9860539633461954, 0.16642590354046405),
    c64::new(-0.9861813203679282, 0.1656695607447844),
    c64::new(-0.9863080972445986, 0.16491312048997012),
    c64::new(-0.9864342939016271, 0.16415658322101595),
    c64::new(-0.9865599102647754, 0.16339994938297328),
    c64::new(-0.9866849462601467, 0.16264321942095028),
    c64::new(-0.9868094018141855, 0.16188639378011171),
    c64::new(-0.9869332768536777, 0.16112947290567906),
    c64::new(-0.987056571305751, 0.16037245724292842),
    c64::new(-0.9871792850978743, 0.15961534723719314),
    c64::new(-0.9873014181578584, 0.15885814333386145),
    c64::new(-0.9874229704138554, 0.15810084597837692),
    c64::new(-0.9875439417943592, 0.15734345561623855),
    c64::new(-0.9876643322282057, 0.15658597269299865),
    c64::new(-0.9877841416445722, 0.15582839765426537),
    c64::new(-0.9879033699729778, 0.15507073094570056),
    c64::new(-0.9880220171432835, 0.15431297301302008),
    c64::new(-0.9881400830856926, 0.15355512430199333),
    c64::new(-0.9882575677307495, 0.15279718525844369),
    c64::new(-0.9883744710093413, 0.15203915632824622),
    c64::new(-0.9884907928526966, 0.1512810379573303),
    c64::new(-0.9886065331923864, 0.15052283059167743),
    c64::new(-0.9887216919603238, 0.14976453467732145),
    c64::new(-0.9888362690887634, 0.14900615066034875),
    c64::new(-0.988950264510303, 0.14824767898689625),
    c64::new(-0.9890636781578815, 0.1474891201031537),
    c64::new(-0.989176509964781, 0.1467304744553618),
    c64::new(-0.9892887598646252, 0.14597174248981218),
    c64::new(-0.9894004277913804, 0.14521292465284735),
    c64::new(-0.9895115136793552, 0.14445402139086072),
    c64::new(-0.9896220174632008, 0.14369503315029464),
    c64::new(-0.9897319390779106, 0.14293596037764275),
    c64::new(-0.9898412784588205, 0.14217680351944806),
    c64::new(-0.989950035541609, 0.14141756302230296),
    c64::new(-0.990058210262297, 0.14065823933284952),
    c64::new(-0.9901658025572484, 0.1398988328977774),
    c64::new(-0.9902728123631691, 0.13913934416382634),
    c64::new(-0.9903792396171082, 0.13837977357778394),
    c64::new(-0.9904850842564571, 0.137620121586486),
    c64::new(-0.9905903462189501, 0.13686038863681627),
    c64::new(-0.9906950254426646, 0.13610057517570645),
    c64::new(-0.9907991218660204, 0.13534068165013438),
    c64::new(-0.99090263542778, 0.13458070850712628),
    c64::new(-0.9910055660670494, 0.13382065619375474),
    c64::new(-0.9911079137232769, 0.133060525157139),
    c64::new(-0.991209678336254, 0.13230031584444496),
    c64::new(-0.9913108598461154, 0.1315400287028833),
    c64::new(-0.9914114581933385, 0.13077966417971185),
    c64::new(-0.9915114733187439, 0.1300192227222334),
    c64::new(-0.9916109051634954, 0.1292587047777961),
    c64::new(-0.9917097536690995, 0.12849811079379306),
    c64::new(-0.9918080187774064, 0.12773744121766256),
    c64::new(-0.9919057004306093, 0.12697669649688603),
    c64::new(-0.9920027985712445, 0.12621587707899046),
    c64::new(-0.9920993131421918, 0.12545498341154626),
    c64::new(-0.9921952440866739, 0.12469401594216759),
    c64::new(-0.9922905913482573, 0.12393297511851248),
    c64::new(-0.9923853548708517, 0.1231718613882807),
    c64::new(-0.99247953459871, 0.12241067519921635),
    c64::new(-0.9925731304764288, 0.1216494169991056),
    c64::new(-0.992666142448948, 0.12088808723577707),
    c64::new(-0.9927585704615511, 0.12012668635710143),
    c64::new(-0.9928504144598651, 0.11936521481099163),
    c64::new(-0.9929416743898605, 0.11860367304540091),
    c64::new(-0.9930323501978514, 0.11784206150832509),
    c64::new(-0.9931224418304956, 0.11708038064780062),
    c64::new(-0.9932119492347945, 0.11631863091190471),
    c64::new(-0.9933008723580933, 0.11555681274875558),
    c64::new(-0.9933892111480807, 0.11479492660651032),
    c64::new(-0.9934769655527892, 0.11403297293336735),
    c64::new(-0.9935641355205953, 0.11327095217756442),
    c64::new(-0.9936507210002191, 0.11250886478737868),
    c64::new(-0.9937367219407246, 0.1117467112111265),
    c64::new(-0.9938221382915197, 0.11098449189716367),
    c64::new(-0.9939069700023561, 0.11022220729388325),
    c64::new(-0.9939912170233294, 0.1094598578497181),
    c64::new(-0.9940748793048794, 0.10869744401313874),
    c64::new(-0.9941579567977897, 0.10793496623265361),
    c64::new(-0.9942404494531879, 0.10717242495680916),
    c64::new(-0.9943223572225458, 0.10640982063418791),
    c64::new(-0.9944036800576791, 0.10564715371341077),
    c64::new(-0.9944844179107476, 0.10488442464313504),
    c64::new(-0.9945645707342554, 0.10412163387205457),
    c64::new(-0.9946441384810507, 0.10335878184889953),
    c64::new(-0.9947231211043257, 0.10259586902243656),
    c64::new(-0.9948015185576171, 0.10183289584146672),
    c64::new(-0.9948793307948056, 0.10106986275482793),
    c64::new(-0.9949565577701164, 0.10030677021139289),
    c64::new(-0.9950331994381186, 0.09954361866006928),
    c64::new(-0.9951092557537261, 0.09878040854979994),
    c64::new(-0.9951847266721968, 0.09801714032956084),
    c64::new(-0.9952596121491333, 0.09725381444836342),
    c64::new(-0.9953339121404823, 0.09649043135525266),
    c64::new(-0.9954076266025349, 0.09572699149930716),
    c64::new(-0.9954807554919269, 0.09496349532963891),
    c64::new(-0.9955532987656385, 0.09419994329539348),
    c64::new(-0.9956252563809943, 0.09343633584574798),
    c64::new(-0.9956966282956635, 0.09267267342991342),
    c64::new(-0.9957674144676598, 0.09190895649713277),
    c64::new(-0.9958376148553416, 0.09114518549668096),
    c64::new(-0.9959072294174117, 0.0903813608778653),
    c64::new(-0.9959762581129178, 0.0896174830900232),
    c64::new(-0.996044700901252, 0.08885355258252475),
    c64::new(-0.9961125577421511, 0.08808956980477058),
    c64::new(-0.996179828595697, 0.08732553520619206),
    c64::new(-0.9962465134223155, 0.08656144923625109),
    c64::new(-0.996312612182778, 0.08579731234444016),
    c64::new(-0.9963781248382002, 0.08503312498028047),
    c64::new(-0.9964430513500426, 0.08426888759332418),
    c64::new(-0.9965073916801108, 0.08350460063315247),
    c64::new(-0.9965711457905548, 0.08274026454937565),
    c64::new(-0.9966343136438699, 0.08197587979163339),
    c64::new(-0.9966968952028961, 0.08121144680959266),
    c64::new(-0.996758890430818, 0.08044696605295017),
    c64::new(-0.9968202992911657, 0.0796824379714302),
    c64::new(-0.9968811217478138, 0.07891786301478494),
    c64::new(-0.9969413577649822, 0.07815324163279415),
    c64::new(-0.9970010073072353, 0.07738857427526533),
    c64::new(-0.997060070339483, 0.07662386139203169),
    c64::new(-0.99711854682698, 0.07585910343295456),
    c64::new(-0.9971764367353261, 0.07509430084792135),
    c64::new(-0.9972337400304663, 0.07432945408684571),
    c64::new(-0.9972904566786902, 0.07356456359966775),
    c64::new(-0.9973465866466331, 0.07279962983635191),
    c64::new(-0.9974021299012753, 0.07203465324688949),
    c64::new(-0.9974570864099419, 0.07126963428129648),
    c64::new(-0.9975114561403035, 0.07050457338961386),
    c64::new(-0.9975652390603758, 0.06973947102190722),
    c64::new(-0.9976184351385196, 0.06897432762826702),
    c64::new(-0.997671044343441, 0.06820914365880652),
    c64::new(-0.9977230666441916, 0.06744391956366418),
    c64::new(-0.9977745020101678, 0.0666786557930016),
    c64::new(-0.9978253504111116, 0.06591335279700376),
    c64::new(-0.9978756118171102, 0.06514801102587915),
    c64::new(-0.997925286198596, 0.0643826309298577),
    c64::new(-0.997974373526347, 0.06361721295919326),
    c64::new(-0.9980228737714862, 0.06285175756416149),
    c64::new(-0.9980707869054823, 0.06208626519506009),
    c64::new(-0.9981181129001492, 0.061320736302208495),
    c64::new(-0.9981648517276462, 0.060555171335948066),
    c64::new(-0.9982110033604782, 0.05978957074664007),
    c64::new(-0.9982565677714952, 0.05902393498466805),
    c64::new(-0.9983015449338929, 0.058258264500435794),
    c64::new(-0.9983459348212124, 0.057492559744367525),
    c64::new(-0.9983897374073402, 0.05672682116690807),
    c64::new(-0.9984329526665084, 0.055961049218520804),
    c64::new(-0.9984755805732948, 0.055195244349690094),
    c64::new(-0.9985176211026221, 0.05442940701091921),
    c64::new(-0.9985590742297593, 0.05366353765273052),
    c64::new(-0.9985999399303204, 0.05289763672566524),
    c64::new(-0.9986402181802652, 0.0521317046802836),
    c64::new(-0.9986799089558991, 0.051365741967162794),
    c64::new(-0.9987190122338729, 0.0505997490368994),
    c64::new(-0.9987575279911833, 0.04983372634010732),
    c64::new(-0.9987954562051724, 0.04906767432741797),
    c64::new(-0.998832796853528, 0.048301593449480464),
    c64::new(-0.9988695499142836, 0.047535484156959545),
    c64::new(-0.9989057153658183, 0.04676934690053802),
    c64::new(-0.9989412931868569, 0.046003182130914706),
    c64::new(-0.9989762833564698, 0.04523699029880459),
    c64::new(-0.9990106858540734, 0.044470771854938584),
    c64::new(-0.9990445006594293, 0.043704527250063706),
    c64::new(-0.9990777277526454, 0.04293825693494102),
    c64::new(-0.9991103671141749, 0.042171961360348065),
    c64::new(-0.9991424187248169, 0.04140564097707678),
    c64::new(-0.9991738825657164, 0.040639296235933695),
    c64::new(-0.9992047586183639, 0.03987292758774013),
    c64::new(-0.9992350468645959, 0.03910653548333013),
    c64::new(-0.9992647472865944, 0.038340120373552854),
    c64::new(-0.9992938598668877, 0.03757368270927058),
    c64::new(-0.9993223845883495, 0.03680722294135883),
    c64::new(-0.9993503214341994, 0.036040741520706146),
    c64::new(-0.9993776703880028, 0.03527423889821423),
    c64::new(-0.9994044314336713, 0.03450771552479595),
    c64::new(-0.9994306045554617, 0.033741171851377705),
    c64::new(-0.9994561897379773, 0.03297460832889738),
    c64::new(-0.999481186966167, 0.032208025408304544),
    c64::new(-0.9995055962253253, 0.03144142354056063),
    c64::new(-0.9995294175010931, 0.030674803176636865),
    c64::new(-0.999552650779457, 0.029908164767516714),
    c64::new(-0.9995752960467492, 0.029141508764193802),
    c64::new(-0.9995973532896484, 0.028374835617672095),
    c64::new(-0.9996188224951786, 0.027608145778965656),
    c64::new(-0.9996397036507102, 0.02684143969909881),
    c64::new(-0.9996599967439592, 0.0260747178291041),
    c64::new(-0.9996797017629879, 0.02530798062002469),
    c64::new(-0.9996988186962042, 0.024541228522912326),
    c64::new(-0.9997173475323622, 0.023774461988827513),
    c64::new(-0.9997352882605617, 0.02300768146883969),
    c64::new(-0.9997526408702488, 0.0222408874140252),
    c64::new(-0.9997694053512153, 0.021474080275469667),
    c64::new(-0.9997855816935992, 0.020707260504265974),
    c64::new(-0.9998011698878843, 0.019940428551514438),
    c64::new(-0.9998161699249004, 0.01917358486832254),
    c64::new(-0.9998305817958234, 0.0184067299058051),
    c64::new(-0.9998444054921752, 0.017639864115082254),
    c64::new(-0.9998576410058239, 0.016872987947281832),
    c64::new(-0.999870288328983, 0.016106101853537325),
    c64::new(-0.9998823474542126, 0.01533920628498806),
    c64::new(-0.9998938183744185, 0.014572301692779389),
    c64::new(-0.9999047010828528, 0.013805388528060633),
    c64::new(-0.9999149955731135, 0.013038467241987496),
    c64::new(-0.9999247018391445, 0.012271538285720007),
    c64::new(-0.999933819875236, 0.011504602110422715),
    c64::new(-0.9999423496760239, 0.01073765916726441),
    c64::new(-0.9999502912364905, 0.009970709907418314),
    c64::new(-0.9999576445519639, 0.009203754782060022),
    c64::new(-0.9999644096181183, 0.008436794242369922),
    c64::new(-0.9999705864309741, 0.007669828739531138),
    c64::new(-0.9999761749868976, 0.006902858724729716),
    c64::new(-0.9999811752826011, 0.006135884649154799),
    c64::new(-0.9999855873151432, 0.005368906963996585),
    c64::new(-0.9999894110819284, 0.004601926120448733),
    c64::new(-0.9999926465807072, 0.003834942569706309),
    c64::new(-0.9999952938095762, 0.003067956762965977),
    c64::new(-0.9999973527669782, 0.002300969151425725),
    c64::new(-0.9999988234517019, 0.0015339801862850493),
    c64::new(-0.9999997058628822, 0.0007669903187429077),
];

static INVERSE_TWIDDLES_4096: [c64; 4096] = [
    c64::new(0.000244140625, -0.0),
    c64::new(0.00024414055318918023, -1.872534957867931e-07),
    c64::new(0.00024414033775676315, -3.745068814171791e-07),
    c64::new(0.00024413997870287554, -5.617600467348157e-07),
    c64::new(0.00024413947602772856, -7.490128815834903e-07),
    c64::new(0.00024413882973161797, -9.362652758071845e-07),
    c64::new(0.00024413803981492393, -1.1235171192501393e-06),
    c64::new(0.00024413710627811113, -1.3107683017569196e-06),
    c64::new(0.00024413602912172879, -1.4980187131724793e-06),
    c64::new(0.00024413480834641055, -1.6852682433422255e-06),
    c64::new(0.00024413344395287455, -1.8725167821120842e-06),
    c64::new(0.0002441319359419234, -2.059764219328564e-06),
    c64::new(0.0002441302843144443, -2.247010444838823e-06),
    c64::new(0.0002441284890714088, -2.43425534849073e-06),
    c64::new(0.00024412655021387303, -2.6214988201329323e-06),
    c64::new(0.00024412446774297754, -2.8087407496149203e-06),
    c64::new(0.0002441222416599474, -2.995981026787091e-06),
    c64::new(0.00024411987196609216, -3.183219541500814e-06),
    c64::new(0.00024411735866280588, -3.370456183608494e-06),
    c64::new(0.000244114701751567, -3.5576908429636388e-06),
    c64::new(0.0002441119012339386, -3.744923409420923e-06),
    c64::new(0.0002441089571115681, -3.932153772836252e-06),
    c64::new(0.00024410586938618747, -4.119381823066824e-06),
    c64::new(0.0002441026380596131, -4.306607449971204e-06),
    c64::new(0.00024409926313374595, -4.49383054340938e-06),
    c64::new(0.0002440957446105714, -4.681050993242828e-06),
    c64::new(0.00024409208249215924, -4.86826868933458e-06),
    c64::new(0.00024408827678066387, -5.055483521549291e-06),
    c64::new(0.00024408432747832404, -5.242695379753298e-06),
    c64::new(0.0002440802345874631, -5.429904153814688e-06),
    c64::new(0.0002440759981104887, -5.6171097336033615e-06),
    c64::new(0.0002440716180498931, -5.804312008991102e-06),
    c64::new(0.000244067094408253, -5.991510869851633e-06),
    c64::new(0.00024406242718822947, -6.178706206060686e-06),
    c64::new(0.00024405761639256817, -6.3658979074960695e-06),
    c64::new(0.00024405266202409917, -6.553085864037727e-06),
    c64::new(0.00024404756408573697, -6.7402699655678076e-06),
    c64::new(0.00024404232258048056, -6.927450101970727e-06),
    c64::new(0.00024403693751141338, -7.114626163133233e-06),
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