bacon-sci-1 0.11.0

use std::f64;

pub const WEIGHTS_LEGENDRE: &[&[(f64, f64)]] = &[
    &[(0.0, 2.0)],
    &[(0.5773502691896257, 1.0)],
    &[
        (0.0, 0.8888888888888888),
        (0.7745966692414834, 0.5555555555555557),
    ],
    &[
        (0.33998104358485626, 0.6521451548625461),
        (0.8611363115940526, 0.34785484513745396),
    ],
    &[
        (0.0, 0.5688888888888889),
        (0.5384693101056831, 0.47862867049936625),
        (0.906179845938664, 0.23692688505618917),
    ],
    &[
        (0.2386191860831969, 0.4679139345726909),
        (0.6612093864662646, 0.3607615730481386),
        (0.9324695142031522, 0.17132449237916977),
    ],
    &[
        (0.0, 0.4179591836734694),
        (0.4058451513773972, 0.3818300505051189),
        (0.7415311855993946, 0.2797053914892765),
        (0.9491079123427583, 0.1294849661688702),
    ],
    &[
        (0.1834346424956498, 0.36268378337836193),
        (0.525532409916329, 0.3137066458778865),
        (0.7966664774136271, 0.22238103445337515),
        (0.9602898564975364, 0.10122853629037544),
    ],
    &[
        (0.0, 0.3302393550012598),
        (0.3242534234038089, 0.31234707704000275),
        (0.6133714327005907, 0.26061069640293594),
        (0.8360311073266365, 0.1806481606948585),
        (0.9681602395076256, 0.08127438836157606),
    ],
    &[
        (0.1488743389816312, 0.2955242247147528),
        (0.43339539412924727, 0.26926671930999657),
        (0.6794095682990248, 0.21908636251598035),
        (0.8650633666889842, 0.14945134915058725),
        (0.9739065285171731, 0.06667134430868374),
    ],
    &[
        (0.0, 0.2729250867779006),
        (0.26954315595234496, 0.26280454451024654),
        (0.519096129206812, 0.23319376459199173),
        (0.7301520055740497, 0.18629021092774148),
        (0.8870625997680974, 0.1255803694649023),
        (0.9782286581460569, 0.05566856711617304),
    ],
    &[
        (0.1252334085114689, 0.24914704581340288),
        (0.3678314989981803, 0.2334925365383545),
        (0.5873179542866176, 0.20316742672306173),
        (0.7699026741943074, 0.16007832854332715),
        (0.9041172563704689, 0.10693932599532781),
        (0.9815606342467176, 0.04717533638652029),
    ],
];

pub const WEIGHTS_CHEBYSHEV: &[&[(f64, f64)]] = &[
    &[(0.0, f64::consts::PI)],
    &[(f64::consts::FRAC_1_SQRT_2, f64::consts::FRAC_PI_2)],
    &[
        (0.8660254037844387, 1.0471975511965976),
        (0.0, 1.0471975511965976),
    ],
    &[
        (0.9238795325112867, f64::consts::FRAC_PI_4),
        (0.38268343236508984, f64::consts::FRAC_PI_4),
    ],
    &[
        (0.9510565162951535, 0.6283185307179586),
        (0.5877852522924731, 0.6283185307179586),
        (0.0, 0.6283185307179586),
    ],
    &[
        (0.9659258262890683, 0.5235987755982988),
        (f64::consts::FRAC_1_SQRT_2, 0.5235987755982988),
        (0.25881904510252096, 0.5235987755982988),
    ],
    &[
        (0.9749279121818236, 0.4487989505128276),
        (0.7818314824680298, 0.4487989505128276),
        (0.4338837391175582, 0.4487989505128276),
        (0.0, 0.4487989505128276),
    ],
    &[
        (0.9807852804032304, f64::consts::FRAC_PI_8),
        (0.8314696123025452, f64::consts::FRAC_PI_8),
        (0.5555702330196023, f64::consts::FRAC_PI_8),
        (0.19509032201612833, f64::consts::FRAC_PI_8),
    ],
    &[
        (0.984807753012208, 0.3490658503988659),
        (0.8660254037844387, 0.3490658503988659),
        (0.6427876096865394, 0.3490658503988659),
        (0.3420201433256688, 0.3490658503988659),
        (0.0, 0.3490658503988659),
    ],
    &[
        (0.9876883405951378, 0.3141592653589793),
        (0.8910065241883679, 0.3141592653589793),
        (f64::consts::FRAC_1_SQRT_2, 0.3141592653589793),
        (0.4539904997395468, 0.3141592653589793),
        (0.15643446504023092, 0.3141592653589793),
    ],
    &[
        (0.9898214418809327, 0.28559933214452665),
        (0.9096319953545184, 0.28559933214452665),
        (0.7557495743542583, 0.28559933214452665),
        (0.5406408174555977, 0.28559933214452665),
        (0.2817325568414298, 0.28559933214452665),
        (0.0, 0.28559933214452665),
    ],
    &[
        (0.9914448613738104, 0.2617993877991494),
        (0.9238795325112867, 0.2617993877991494),
        (0.7933533402912353, 0.2617993877991494),
        (0.6087614290087207, 0.2617993877991494),
        (0.38268343236508984, 0.2617993877991494),
        (0.1305261922200517, 0.2617993877991494),
    ],
    &[
        (0.992708874098054, 0.241660973353061),
        (0.9350162426854148, 0.241660973353061),
        (0.8229838658936564, 0.241660973353061),
        (0.6631226582407952, 0.241660973353061),
        (0.4647231720437686, 0.241660973353061),
        (0.23931566428755763, 0.241660973353061),
        (0.0, 0.241660973353061),
    ],
    &[
        (0.9937122098932426, 0.2243994752564138),
        (0.9438833303083676, 0.2243994752564138),
        (0.8467241992282841, 0.2243994752564138),
        (f64::consts::FRAC_1_SQRT_2, 0.2243994752564138),
        (0.5320320765153366, 0.2243994752564138),
        (0.33027906195516715, 0.2243994752564138),
        (0.11196447610330791, 0.2243994752564138),
    ],
    &[
        (0.9945218953682733, 0.20943951023931953),
        (0.9510565162951535, 0.20943951023931953),
        (0.8660254037844387, 0.20943951023931953),
        (0.7431448254773944, 0.20943951023931953),
        (0.5877852522924731, 0.20943951023931953),
        (0.4067366430758004, 0.20943951023931953),
        (0.20791169081775945, 0.20943951023931953),
        (0.0, 0.20943951023931953),
    ],
    &[
        (0.9951847266721969, 0.19634954084936207),
        (0.9569403357322088, 0.19634954084936207),
        (0.881921264348355, 0.19634954084936207),
        (0.773010453362737, 0.19634954084936207),
        (0.6343932841636455, 0.19634954084936207),
        (0.4713967368259978, 0.19634954084936207),
        (0.29028467725446233, 0.19634954084936207),
        (0.09801714032956077, 0.19634954084936207),
    ],
    &[
        (0.9957341762950345, 0.18479956785822313),
        (0.961825643172819, 0.18479956785822313),
        (0.8951632913550623, 0.18479956785822313),
        (0.7980172272802395, 0.18479956785822313),
        (0.6736956436465572, 0.18479956785822313),
        (0.5264321628773558, 0.18479956785822313),
        (0.36124166618715303, 0.18479956785822313),
        (0.1837495178165703, 0.18479956785822313),
        (0.0, 0.18479956785822313),
    ],
    &[
        (0.9961946980917455, 0.17453292519943295),
        (0.9659258262890683, 0.17453292519943295),
        (0.9063077870366499, 0.17453292519943295),
        (0.8191520442889918, 0.17453292519943295),
        (f64::consts::FRAC_1_SQRT_2, 0.17453292519943295),
        (0.5735764363510462, 0.17453292519943295),
        (0.42261826174069944, 0.17453292519943295),
        (0.25881904510252074, 0.17453292519943295),
        (0.08715574274765836, 0.17453292519943295),
    ],
    &[
        (0.9965844930066698, 0.16534698176788384),
        (0.9694002659393304, 0.16534698176788384),
        (0.9157733266550574, 0.16534698176788384),
        (0.8371664782625287, 0.16534698176788384),
        (0.7357239106731317, 0.16534698176788384),
        (0.6142127126896678, 0.16534698176788384),
        (0.4759473930370736, 0.16534698176788384),
        (0.32469946920468357, 0.16534698176788384),
        (0.16459459028073398, 0.16534698176788384),
        (0.0, 0.16534698176788384),
    ],
    &[
        (0.996917333733128, 0.15707963267948966),
        (0.9723699203976766, 0.15707963267948966),
        (0.9238795325112867, 0.15707963267948966),
        (0.8526401643540922, 0.15707963267948966),
        (0.7604059656000309, 0.15707963267948966),
        (0.6494480483301837, 0.15707963267948966),
        (0.5224985647159489, 0.15707963267948966),
        (0.38268343236508984, 0.15707963267948966),
        (0.23344536385590547, 0.15707963267948966),
        (0.078459095727845, 0.15707963267948966),
    ],
    &[
        (0.9972037971811801, 0.14959965017094254),
        (0.9749279121818236, 0.14959965017094254),
        (0.9308737486442042, 0.14959965017094254),
        (0.8660254037844387, 0.14959965017094254),
        (0.7818314824680299, 0.14959965017094254),
        (0.6801727377709195, 0.14959965017094254),
        (0.5633200580636222, 0.14959965017094254),
        (0.43388373911755834, 0.14959965017094254),
        (0.2947551744109043, 0.14959965017094254),
        (0.14904226617617464, 0.14959965017094254),
        (0.0, 0.14959965017094254),
    ],
    &[
        (0.9974521146102535, 0.14279966607226333),
        (0.9771468659711595, 0.14279966607226333),
        (0.9369497249997617, 0.14279966607226333),
        (0.8776789895672557, 0.14279966607226333),
        (0.8005412409243604, 0.14279966607226333),
        (f64::consts::FRAC_1_SQRT_2, 0.14279966607226333),
        (0.599277666511347, 0.14279966607226333),
        (0.47924898672005684, 0.14279966607226333),
        (0.3494641795990984, 0.14279966607226333),
        (0.2125652895529766, 0.14279966607226333),
        (0.07133918319923235, 0.14279966607226333),
    ],
    &[
        (0.9976687691905392, 0.13659098493868665),
        (0.9790840876823229, 0.13659098493868665),
        (0.9422609221188205, 0.13659098493868665),
        (0.8878852184023752, 0.13659098493868665),
        (0.8169698930104421, 0.13659098493868665),
        (0.7308359642781241, 0.13659098493868665),
        (0.6310879443260529, 0.13659098493868665),
        (0.5195839500354336, 0.13659098493868665),
        (0.39840108984624156, 0.13659098493868665),
        (0.26979677115702444, 0.13659098493868665),
        (0.1361666490962466, 0.13659098493868665),
        (0.0, 0.13659098493868665),
    ],
    &[
        (0.9978589232386035, 0.1308996938995747),
        (0.9807852804032304, 0.1308996938995747),
        (0.9469301294951057, 0.1308996938995747),
        (0.8968727415326884, 0.1308996938995747),
        (0.8314696123025452, 0.1308996938995747),
        (0.7518398074789774, 0.1308996938995747),
        (0.659345815100069, 0.1308996938995747),
        (0.5555702330196024, 0.1308996938995747),
        (0.44228869021900147, 0.1308996938995747),
        (0.3214394653031617, 0.1308996938995747),
        (0.19509032201612833, 0.1308996938995747),
        (0.06540312923014327, 0.1308996938995747),
    ],
    &[
        (0.9980267284282716, 0.12566370614359174),
        (0.9822872507286887, 0.12566370614359174),
        (0.9510565162951535, 0.12566370614359174),
        (0.9048270524660195, 0.12566370614359174),
        (0.8443279255020151, 0.12566370614359174),
        (0.7705132427757891, 0.12566370614359174),
        (0.6845471059286886, 0.12566370614359174),
        (0.587785252292473, 0.12566370614359174),
        (0.48175367410171516, 0.12566370614359174),
        (0.36812455268467786, 0.12566370614359174),
        (0.24868988716485474, 0.12566370614359174),
        (0.12533323356430426, 0.12566370614359174),
        (0.0, 0.12566370614359174),
    ],
    &[
        (0.9981755542233175, 0.1208304866765305),
        (0.9836199069471436, 0.1208304866765305),
        (0.9547208665085456, 0.1208304866765305),
        (0.9118998459920901, 0.1208304866765305),
        (0.8557812723014475, 0.1208304866765305),
        (0.7871834806090501, 0.1208304866765305),
        (f64::consts::FRAC_1_SQRT_2, 0.1208304866765305),
        (0.616718872628543, 0.1208304866765305),
        (0.5173378141776568, 0.1208304866765305),
        (0.4104128054527567, 0.1208304866765305),
        (0.297503053855203, 0.1208304866765305),
        (0.18025503781390564, 0.1208304866765305),
        (0.060378497422286063, 0.1208304866765305),
    ],
    &[
        (0.9983081582712682, 0.11635528346628864),
        (0.984807753012208, 0.11635528346628864),
        (0.9579895123154889, 0.11635528346628864),
        (0.918216106880274, 0.11635528346628864),
        (0.8660254037844387, 0.11635528346628864),
        (0.8021231927550438, 0.11635528346628864),
        (0.7273736415730488, 0.11635528346628864),
        (0.6427876096865395, 0.11635528346628864),
        (0.5495089780708061, 0.11635528346628864),
        (0.4487991802004623, 0.11635528346628864),
        (0.3420201433256688, 0.11635528346628864),
        (0.23061587074244025, 0.11635528346628864),
        (0.11609291412523053, 0.11635528346628864),
        (0.0, 0.11635528346628864),
    ],
    &[
        (0.9984268150178166, 0.1121997376282069),
        (0.9858710185182359, 0.1121997376282069),
        (0.9609173219450996, 0.1121997376282069),
        (0.9238795325112867, 0.1121997376282069),
        (0.8752234219087537, 0.1121997376282069),
        (0.8155608689592602, 0.1121997376282069),
        (0.7456421648831656, 0.1121997376282069),
        (0.6663465779520039, 0.1121997376282069),
        (0.5786712961798057, 0.1121997376282069),
        (0.4837188871052398, 0.1121997376282069),
        (0.38268343236508984, 0.1121997376282069),
        (0.2768355114248494, 0.1121997376282069),
        (0.16750622330473647, 0.1121997376282069),
        (0.056070447237191845, 0.1121997376282069),
    ],
    &[
        (0.9985334138511238, 0.10833078115826873),
        (0.9868265225415261, 0.10833078115826873),
        (0.9635499925192229, 0.10833078115826873),
        (0.9289767198167914, 0.10833078115826873),
        (0.8835120444460229, 0.10833078115826873),
        (0.8276889981568906, 0.10833078115826873),
        (0.7621620551276365, 0.10833078115826873),
        (0.6876994588534233, 0.10833078115826873),
        (0.6051742151937651, 0.10833078115826873),
        (0.5155538571770217, 0.10833078115826873),
        (0.4198891015602646, 0.10833078115826873),
        (0.31930153013597995, 0.10833078115826873),
        (0.214970440211024, 0.10833078115826873),
        (0.10811901842394187, 0.10833078115826873),
        (0.0, 0.10833078115826873),
    ],
    &[
        (0.9986295347545738, 0.10471975511965977),
        (0.9876883405951378, 0.10471975511965977),
        (0.9659258262890683, 0.10471975511965977),
        (0.9335804264972017, 0.10471975511965977),
        (0.8910065241883679, 0.10471975511965977),
        (0.838670567945424, 0.10471975511965977),
        (0.7771459614569709, 0.10471975511965977),
        (f64::consts::FRAC_1_SQRT_2, 0.10471975511965977),
        (0.6293203910498375, 0.10471975511965977),
        (0.5446390350150272, 0.10471975511965977),
        (0.4539904997395468, 0.10471975511965977),
        (0.3583679495453004, 0.10471975511965977),
        (0.25881904510252096, 0.10471975511965977),
        (0.15643446504023092, 0.10471975511965977),
        (0.052335956242943966, 0.10471975511965977),
    ],
    &[
        (0.9987165071710528, 0.10134169850289655),
        (0.9884683243281114, 0.10134169850289655),
        (0.9680771188662043, 0.10134169850289655),
        (0.9377521321470804, 0.10134169850289655),
        (0.8978045395707417, 0.10134169850289655),
        (0.8486442574947509, 0.10134169850289655),
        (0.7907757369376985, 0.10134169850289655),
        (0.72479278722912, 0.10134169850289655),
        (0.6513724827222223, 0.10134169850289655),
        (0.5712682150947923, 0.10134169850289655),
        (0.485301962531081, 0.10134169850289655),
        (0.39435585511331855, 0.10134169850289655),
        (0.299363122973358, 0.10134169850289655),
        (0.20129852008866012, 0.10134169850289655),
        (0.10116832198743222, 0.10134169850289655),
        (0.0, 0.10134169850289655),
    ],
    &[
        (0.9987954562051724, 0.09817477042468103),
        (0.989176509964781, 0.09817477042468103),
        (0.970031253194544, 0.09817477042468103),
        (0.9415440651830208, 0.09817477042468103),
        (0.9039892931234433, 0.09817477042468103),
        (0.8577286100002721, 0.09817477042468103),
        (0.8032075314806449, 0.09817477042468103),
        (0.7409511253549591, 0.09817477042468103),
        (0.6715589548470183, 0.09817477042468103),
        (0.5956993044924335, 0.09817477042468103),
        (0.5141027441932217, 0.09817477042468103),
        (0.4275550934302822, 0.09817477042468103),
        (0.33688985339222005, 0.09817477042468103),
        (0.24298017990326398, 0.09817477042468103),
        (0.14673047445536175, 0.09817477042468103),
        (0.049067674327418126, 0.09817477042468103),
    ],
    &[
        (0.998867339183008, 0.09519977738150888),
        (0.9898214418809327, 0.09519977738150888),
        (0.9718115683235417, 0.09519977738150888),
        (0.9450008187146685, 0.09519977738150888),
        (0.9096319953545184, 0.09519977738150888),
        (0.8660254037844387, 0.09519977738150888),
        (0.8145759520503357, 0.09519977738150888),
        (0.7557495743542584, 0.09519977738150888),
        (0.690079011482112, 0.09519977738150888),
        (0.6181589862206053, 0.09519977738150888),
        (0.5406408174555977, 0.09519977738150888),
        (0.45822652172741046, 0.09519977738150888),
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        (0.7788772787621125, 0.03306939635357677),
        (0.7577148697603348, 0.03306939635357677),
        (0.7357239106731317, 0.03306939635357677),
        (0.7129284482913972, 0.03306939635357677),
        (0.6893534091185659, 0.03306939635357677),
        (0.6650245721138484, 0.03306939635357677),
        (0.6399685405033166, 0.03306939635357677),
        (0.6142127126896679, 0.03306939635357677),
        (0.5877852522924732, 0.03306939635357677),
        (0.5607150573516728, 0.03306939635357677),
        (0.5330317287279939, 0.03306939635357677),
        (0.5047655377348439, 0.03306939635357677),
        (0.4759473930370736, 0.03306939635357677),
        (0.44660880685280674, 0.03306939635357677),
        (0.41678186049529053, 0.03306939635357677),
        (0.38649916929245254, 0.03306939635357677),
        (0.35579384692251664, 0.03306939635357677),
        (0.32469946920468357, 0.03306939635357677),
        (0.293250037384465, 0.03306939635357677),
        (0.2614799409538199, 0.03306939635357677),
        (0.22942392004675183, 0.03306939635357677),
        (0.1971170274514805, 0.03306939635357677),
        (0.1645945902807342, 0.03306939635357677),
        (0.1318921713420691, 0.03306939635357677),
        (0.09904553025046282, 0.03306939635357677),
        (0.0660905843256997, 0.03306939635357677),
        (0.03306336931730837, 0.03306939635357677),
        (0.0, 0.03306939635357677),
    ],
    &[
        (0.9998661379095618, 0.032724923474893676),
        (0.9987954562051724, 0.032724923474893676),
        (0.9966552393091803, 0.032724923474893676),
        (0.9934477790194444, 0.032724923474893676),
        (0.989176509964781, 0.032724923474893676),
        (0.9838460059270774, 0.032724923474893676),
        (0.9774619749435719, 0.032724923474893676),
        (0.970031253194544, 0.032724923474893676),
        (0.9615617976829619, 0.032724923474893676),
        (0.9520626777139243, 0.032724923474893676),
        (0.9415440651830208, 0.032724923474893676),
        (0.9300172236840122, 0.032724923474893676),
        (0.9174944964474914, 0.032724923474893676),
        (0.9039892931234433, 0.032724923474893676),
        (0.8895160754218561, 0.032724923474893676),
        (0.8740903416267589, 0.032724923474893676),
        (0.8577286100002721, 0.032724923474893676),
        (0.8404484010944381, 0.032724923474893676),
        (0.8222682189897751, 0.032724923474893676),
        (0.8032075314806449, 0.032724923474893676),
        (0.7832867492286505, 0.032724923474893676),
        (0.7625272039063882, 0.032724923474893676),
        (0.7409511253549591, 0.032724923474893676),
        (0.7185816177796981, 0.032724923474893676),
        (0.6954426350096117, 0.032724923474893676),
        (0.6715589548470184, 0.032724923474893676),
        (0.6469561525348575, 0.032724923474893676),
        (0.6216605733700774, 0.032724923474893676),
        (0.5956993044924335, 0.032724923474893676),
        (0.5691001458788983, 0.032724923474893676),
        (0.5418915805747517, 0.032724923474893676),
        (0.5141027441932219, 0.032724923474893676),
        (0.4857633937163401, 0.032724923474893676),
        (0.45690387563042073, 0.032724923474893676),
        (0.4275550934302822, 0.032724923474893676),
        (0.3977484745270112, 0.032724923474893676),
        (0.3675159365947037, 0.032724923474893676),
        (0.3368898533922203, 0.032724923474893676),
        (0.3059030200965535, 0.032724923474893676),
        (0.2745886181849324, 0.032724923474893676),
        (0.24298017990326398, 0.032724923474893676),
        (0.2111115523589653, 0.032724923474893676),
        (0.17901686127663285, 0.032724923474893676),
        (0.14673047445536197, 0.032724923474893676),
        (0.11428696496684666, 0.032724923474893676),
        (0.0817210741336683, 0.032724923474893676),
        (0.049067674327418126, 0.032724923474893676),
        (0.016361731626486936, 0.032724923474893676),
    ],
    &[
        (0.9998688836656322, 0.032387553129791684),
        (0.9988201592795908, 0.032387553129791684),
        (0.9967238104745694, 0.032387553129791684),
        (0.9935820360309777, 0.032387553129791684),
        (0.989398131236356, 0.032387553129791684),
        (0.9841764844290742, 0.032387553129791684),
        (0.9779225723955707, 0.032387553129791684),
        (0.9706429546259592, 0.032387553129791684),
        (0.9623452664340302, 0.032387553129791684),
        (0.9530382109488609, 0.032387553129791684),
        (0.9427315499864342, 0.032387553129791684),
        (0.9314360938108422, 0.032387553129791684),
        (0.9191636897958122, 0.032387553129791684),
        (0.9059272099984468, 0.032387553129791684),
        (0.8917405376582144, 0.032387553129791684),
        (0.8766185526353477, 0.032387553129791684),
        (0.8605771158039253, 0.032387553129791684),
        (0.8436330524160045, 0.032387553129791684),
        (0.8258041344542565, 0.032387553129791684),
        (0.8071090619916093, 0.032387553129791684),
        (0.7875674435774543, 0.032387553129791684),
        (0.7671997756709861, 0.032387553129791684),
        (0.7460274211432459, 0.032387553129791684),
        (0.7240725868704214, 0.032387553129791684),
        (0.7013583004418992, 0.032387553129791684),
        (0.6779083860075031, 0.032387553129791684),
        (0.6537474392892525, 0.032387553129791684),
        (0.6289008017838444, 0.032387553129791684),
        (0.6033945341829247, 0.032387553129791684),
        (0.5772553890390194, 0.032387553129791684),
        (0.5505107827058034, 0.032387553129791684),
        (0.5231887665821301, 0.032387553129791684),
        (0.4953179976899875, 0.032387553129791684),
        (0.4669277086172406, 0.032387553129791684),
        (0.4380476768566823, 0.032387553129791684),
        (0.4087081935735561, 0.032387553129791684),
        (0.37894003183430663, 0.032387553129791684),
        (0.3487744143298822, 0.032387553129791684),
        (0.3182429806274438, 0.032387553129791684),
        (0.28737775398482807, 0.032387553129791684),
        (0.2562111077625723, 0.032387553129791684),
        (0.22477573146872928, 0.032387553129791684),
        (0.1931045964720878, 0.032387553129791684),
        (0.1612309214197597, 0.032387553129791684),
        (0.12918813739540624, 0.032387553129791684),
        (0.09700985285464794, 0.032387553129791684),
        (0.0647298183744356, 0.032387553129791684),
        (0.03238189125335575, 0.032387553129791684),
        (0.0, 0.032387553129791684),
    ],
    &[
        (0.9998715457999312, 0.0320570678937734),
        (0.9988441101966808, 0.0320570678937734),
        (0.9967902947497157, 0.0320570678937734),
        (0.9937122098932426, 0.0320570678937734),
        (0.9896130185675259, 0.0320570678937734),
        (0.9844969329687524, 0.0320570678937734),
        (0.9783692102207153, 0.0320570678937734),
        (0.9712361469727638, 0.0320570678937734),
        (0.9631050729295704, 0.0320570678937734),
        (0.9539843433193639, 0.0320570678937734),
        (0.9438833303083676, 0.0320570678937734),
        (0.9328124133702648, 0.0320570678937734),
        (0.9207829686205883, 0.0320570678937734),
        (0.9078073571269921, 0.0320570678937734),
        (0.8938989122074196, 0.0320570678937734),
        (0.8790719257292172, 0.0320570678937734),
        (0.8633416334232752, 0.0320570678937734),
        (0.8467241992282841, 0.0320570678937734),
        (0.8292366986811951, 0.0320570678937734),
        (0.8108971013709511, 0.0320570678937734),
        (0.7917242524735199, 0.0320570678937734),
        (0.7717378533872018, 0.0320570678937734),
        (0.7509584414881113, 0.0320570678937734),
        (0.7294073690266343, 0.0320570678937734),
        (f64::consts::FRAC_1_SQRT_2, 0.0320570678937734),
        (0.6840795933293461, 0.0320570678937734),
        (0.6603494674471594, 0.0320570678937734),
        (0.6359407878484552, 0.0320570678937734),
        (0.6108786361015144, 0.0320570678937734),
        (0.5851887652614238, 0.0320570678937734),
        (0.5588975734070717, 0.0320570678937734),
        (0.5320320765153366, 0.0320570678937734),
        (0.5046198807003458, 0.0320570678937734),
        (0.47668915384632543, 0.0320570678937734),
        (0.4482685966631972, 0.0320570678937734),
        (0.4193874131946569, 0.0320570678937734),
        (0.3900752808090469, 0.0320570678937734),
        (0.3603623197038535, 0.0320570678937734),
        (0.33027906195516715, 0.0320570678937734),
        (0.2998564201439118, 0.0320570678937734),
        (0.26912565559107693, 0.0320570678937734),
        (0.23811834623459838, 0.0320570678937734),
        (0.20686635418089092, 0.0320570678937734),
        (0.17540179296438188, 0.0320570678937734),
        (0.14375699454868182, 0.0320570678937734),
        (0.11196447610330791, 0.0320570678937734),
        (0.08005690659009354, 0.0320570678937734),
        (0.04806707319362087, 0.0320570678937734),
        (0.016027847630173966, 0.0320570678937734),
    ],
    &[
        (0.9998741276738751, 0.03173325912716963),
        (0.998867339183008, 0.03173325912716963),
        (0.9968547759519424, 0.03173325912716963),
        (0.9938384644612541, 0.03173325912716963),
        (0.9898214418809327, 0.03173325912716963),
        (0.984807753012208, 0.03173325912716963),
        (0.9788024462147787, 0.03173325912716963),
        (0.9718115683235417, 0.03173325912716963),
        (0.963842158559942, 0.03173325912716963),
        (0.9549022414440739, 0.03173325912716963),
        (0.9450008187146685, 0.03173325912716963),
        (0.9341478602651068, 0.03173325912716963),
        (0.9223542941045814, 0.03173325912716963),
        (0.9096319953545183, 0.03173325912716963),
        (0.8959937742913359, 0.03173325912716963),
        (0.8814533634475821, 0.03173325912716963),
        (0.8660254037844386, 0.03173325912716963),
        (0.8497254299495144, 0.03173325912716963),
        (0.8325698546347713, 0.03173325912716963),
        (0.8145759520503357, 0.03173325912716963),
        (0.7957618405308321, 0.03173325912716963),
        (0.7761464642917568, 0.03173325912716963),
        (0.7557495743542583, 0.03173325912716963),
        (0.7345917086575332, 0.03173325912716963),
        (0.7126941713788629, 0.03173325912716963),
        (0.690079011482112, 0.03173325912716963),
        (0.6667690005162916, 0.03173325912716963),
        (0.6427876096865394, 0.03173325912716963),
        (0.6181589862206053, 0.03173325912716963),
        (0.5929079290546405, 0.03173325912716963),
        (0.5670598638627707, 0.03173325912716963),
        (0.5406408174555977, 0.03173325912716963),
        (0.5136773915734064, 0.03173325912716963),
        (0.48619673610046865, 0.03173325912716963),
        (0.45822652172741046, 0.03173325912716963),
        (0.4297949120891716, 0.03173325912716963),
        (0.4009305354066138, 0.03173325912716963),
        (0.3716624556603275, 0.03173325912716963),
        (0.3420201433256688, 0.03173325912716963),
        (0.3120334456984871, 0.03173325912716963),
        (0.2817325568414296, 0.03173325912716963),
        (0.2511479871810792, 0.03173325912716963),
        (0.22031053278654053, 0.03173325912716963),
        (0.18925124436041021, 0.03173325912716963),
        (0.1580013959733498, 0.03173325912716963),
        (0.1265924535737493, 0.03173325912716963),
        (0.09505604330418259, 0.03173325912716963),
        (0.06342391965656456, 0.03173325912716963),
        (0.031727933498067594, 0.03173325912716963),
        (0.0, 0.03173325912716963),
    ],
    &[
        (0.9998766324816606, 0.031415926535897934),
        (0.99888987496197, 0.031415926535897934),
        (0.996917333733128, 0.031415926535897934),
        (0.9939609554551797, 0.031415926535897934),
        (0.9900236577165575, 0.031415926535897934),
        (0.9851093261547739, 0.031415926535897934),
        (0.9792228106217657, 0.031415926535897934),
        (0.9723699203976766, 0.031415926535897934),
        (0.9645574184577981, 0.031415926535897934),
        (0.9557930147983301, 0.031415926535897934),
        (0.9460853588275453, 0.031415926535897934),
        (0.9354440308298674, 0.031415926535897934),
        (0.9238795325112867, 0.031415926535897934),
        (0.9114032766354453, 0.031415926535897934),
        (0.8980275757606156, 0.031415926535897934),
        (0.8837656300886935, 0.031415926535897934),
        (0.8686315144381912, 0.031415926535897934),
        (0.8526401643540922, 0.031415926535897934),
        (0.8358073613682703, 0.031415926535897934),
        (0.8181497174250234, 0.031415926535897934),
        (0.7996846584870906, 0.031415926535897934),
        (0.7804304073383297, 0.031415926535897934),
        (0.7604059656000309, 0.031415926535897934),
        (0.7396310949786097, 0.031415926535897934),
        (0.7181262977631888, 0.031415926535897934),
        (0.6959127965923143, 0.031415926535897934),
        (0.6730125135097733, 0.031415926535897934),
        (0.6494480483301835, 0.031415926535897934),
        (0.6252426563357052, 0.031415926535897934),
        (0.600420225325884, 0.031415926535897934),
        (0.5750052520432785, 0.031415926535897934),
        (0.5490228179981317, 0.031415926535897934),
        (0.5224985647159489, 0.031415926535897934),
        (0.49545866843240755, 0.031415926535897934),
        (0.46792981426057334, 0.031415926535897934),
        (0.4399391698559151, 0.031415926535897934),
        (0.41151435860510865, 0.031415926535897934),
        (0.38268343236508984, 0.031415926535897934),
        (0.35347484377925714, 0.031415926535897934),
        (0.3239174181981494, 0.031415926535897934),
        (0.2940403252323039, 0.031415926535897934),
        (0.26387304996537275, 0.031415926535897934),
        (0.23344536385590525, 0.031415926535897934),
        (0.2027872953565125, 0.031415926535897934),
        (0.17192910027940952, 0.031415926535897934),
        (0.14090123193758258, 0.031415926535897934),
        (0.10973431109104514, 0.031415926535897934),
        (0.07845909572784478, 0.031415926535897934),
        (0.04710645070964268, 0.031415926535897934),
        (0.015707317311820648, 0.031415926535897934),
    ],
];
pub const WEIGHTS_CHEBYSHEV_SECOND: &[&[(f64, f64)]] = &[
    &[(0.0, f64::consts::FRAC_PI_2)],
    &[(0.5000000000000001, 0.7853981633974481)],
    &[
        (f64::consts::FRAC_1_SQRT_2, 0.39269908169872403),
        (0.0, f64::consts::FRAC_PI_4),
    ],
    &[
        (0.8090169943749475, 0.217078713422706),
        (0.30901699437494745, 0.5683194499747423),
    ],
    &[
        (0.8660254037844387, 0.13089969389957468),
        (0.5000000000000001, 0.39269908169872403),
        (0.0, 0.5235987755982988),
    ],
    &[
        (0.9009688679024191, 0.08448869089158857),
        (0.6234898018587336, 0.2743330560697778),
        (0.22252093395631445, 0.42657641643608185),
    ],
    &[
        (0.9238795325112867, 0.05750944903191313),
        (f64::consts::FRAC_1_SQRT_2, 0.19634954084936201),
        (0.38268343236508984, 0.335189632666811),
        (0.0, f64::consts::FRAC_PI_8),
    ],
    &[
        (0.9396926207859084, 0.04083294770910708),
        (0.766044443118978, 0.14422560079567273),
        (0.5000000000000001, 0.2617993877991494),
        (0.17364817766693041, 0.338540227093519),
    ],
    &[
        (0.9510565162951535, 0.029999540371608163),
        (0.8090169943749475, 0.108539356711353),
        (0.5877852522924731, 0.20561990864762633),
        (0.30901699437494745, 0.28415972498737113),
        (0.0, 0.3141592653589793),
    ],
    &[
        (0.9594929736144974, 0.022668942501858837),
        (0.8412535328311812, 0.08347854093418902),
        (0.6548607339452851, 0.16312217745481658),
        (0.41541501300188644, 0.2363135602034873),
        (0.14231483827328512, 0.2798149423030965),
    ],
    &[
        (0.9659258262890683, 0.017537233634936096),
        (0.8660254037844387, 0.06544984694978734),
        (f64::consts::FRAC_1_SQRT_2, 0.13089969389957468),
        (0.5000000000000001, 0.19634954084936201),
        (0.25881904510252096, 0.24426215416421326),
        (0.0, 0.2617993877991494),
    ],
    &[
        (0.970941817426052, 0.013840404166186674),
        (0.8854560256532099, 0.052190946865224914),
        (0.7485107481711011, 0.10626598093890648),
        (0.5680647467311558, 0.16367756775575623),
        (0.35460488704253557, 0.21127340466065864),
        (0.120536680255323, 0.23814985901071542),
    ],
    &[
        (0.9749279121818236, 0.011111267038372872),
        (0.9009688679024191, 0.042244345445794286),
        (0.7818314824680298, 0.08723294722152485),
        (0.6234898018587336, 0.1371665280348889),
        (0.4338837391175582, 0.18215512981061951),
        (0.22252093395631445, 0.21328820821804093),
        (0.0, 0.2243994752564138),
    ],
    &[
        (0.9781476007338057, 0.009053498504649085),
        (0.9135454576426009, 0.03464856187869067),
        (0.8090169943749475, 0.072359571140902),
        (0.6691306063588582, 0.11566595019608279),
        (0.5000000000000001, 0.15707963267948963),
        (0.30901699437494745, 0.1894398166582474),
        (0.10452846326765368, 0.20715113233938662),
    ],
    &[
        (0.9807852804032304, 0.007473109420323819),
        (0.9238795325112867, 0.028754724515956565),
        (0.8314696123025452, 0.06060491230690939),
        (f64::consts::FRAC_1_SQRT_2, 0.09817477042468101),
        (0.5555702330196023, 0.13574462854245267),
        (0.38268343236508984, 0.1675948163334055),
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        (0.4457383557765383, 0.1480830941187536),
        (0.2736629900720828, 0.170959663563356),
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        (0.3420201433256688, 0.15411645134487936),
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        (0.9863613034027223, 0.004479477774329408),
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        (0.8794737512064891, 0.037455377319418635),
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        (0.6772815716257411, 0.08950061364905067),
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        (0.24548548714079924, 0.1553826560369778),
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        (0.8090169943749475, 0.0542696783556765),
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        (0.4539904997395468, 0.12470436210200622),
        (0.30901699437494745, 0.14207986249368557),
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        (0.9096319953545184, 0.024642885970519664),
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        (0.8660254037844387, 0.03272492347489367),
        (0.7933533402912353, 0.04851018006013724),
        (f64::consts::FRAC_1_SQRT_2, 0.06544984694978734),
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        (0.16178199655276462, 0.10549539472980614),
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        (0.9510565162951535, 0.009999846790536053),
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        (0.9541392564000488, 0.009082068650934446),
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        (0.7818314824680298, 0.012461849603074978),
        (0.7614459583691344, 0.013470381611424628),
        (0.7402779970753156, 0.01448942561644264),
        (0.7183493500977276, 0.015514794147728151),
        (0.6956825506034865, 0.016542273746045243),
        (0.6723008902613169, 0.017567642277330757),
        (0.6482283953077885, 0.018586686282348764),
        (0.6234898018587336, 0.019595218290698414),
        (0.598110530491216, 0.020589094028027947),
        (0.5721166601221697, 0.021564229445747),
        (0.5455349012105487, 0.022516617503258275),
        (0.5183925683105252, 0.023442344633746854),
        (0.4907175520039379, 0.024337606825865728),
        (0.4625382902408354, 0.025198725255234332),
        (0.4338837391175582, 0.02602216140151707),
        (0.404783343122394, 0.026804531588962358),
        (0.3752670048793742, 0.027542620890652122),
        (0.3453650544213078, 0.02823339633932604),
        (0.31510821802362077, 0.02887401939049466),
        (0.28452758663103267, 0.029461857586627505),
        (0.2536545839095075, 0.029994495374485765),
        (0.22252093395631445, 0.0304697440311487),
        (0.19115862870137248, 0.03088565065794555),
        (0.15959989503337932, 0.03124050620533511),
        (0.12787716168450622, 0.0315328524957569),
        (0.09602302590768189, 0.03176148821559548),
        (0.06407021998071318, 0.03192547385163583),
        (0.03205157757165533, 0.03202413555172464),
        (0.0, 0.0320570678937734),
    ],
    &[
        (0.9994965423831851, 0.00003194465861225996),
        (0.9979866764718844, 0.00012765000458347651),
        (0.9954719225730846, 0.0002867306662640291),
        (0.9919548128307953, 0.0005085460819758582),
        (0.9874388886763943, 0.0007922030793282613),
        (0.9819286972627067, 0.0011365594717078701),
        (0.975429786885407, 0.0015402286574610147),
        (0.9679487013963562, 0.0020015852032491907),
        (0.9594929736144974, 0.0025187713890954264),
        (0.9500711177409454, 0.0030897046887669636),
        (0.9396926207859084, 0.003712086155373371),
        (0.9283679330160726, 0.0043834096784142905),
        (0.9161084574320696, 0.005100972075001886),
        (0.9029265382866212, 0.005861883974624277),
        (0.8888354486549235, 0.006663081453620798),
        (0.8738493770697849, 0.007501338372521189),
        (0.8579834132349771, 0.00837327936657059),
        (0.8412535328311812, 0.009275393437132113),
        (0.8236765814298328, 0.01020404808923914),
        (0.8052702575310586, 0.011155503958370507),
        (0.7860530947427875, 0.012125929867551647),
        (0.766044443118978, 0.013111418254152065),
        (0.7452644496757548, 0.01410800090426091),
        (0.7237340381050701, 0.015111664931283823),
        (0.7014748877063213, 0.016118368934420948),
        (0.6785094115571322, 0.017124059271961558),
        (0.654860733945285, 0.01812468638386851),
        (0.6305526670845225, 0.019116221097927273),
        (0.6056096871376666, 0.020094670853800314),
        (0.5800569095711982, 0.02105609577965849),
        (0.5539200638661103, 0.021996624556654302),
        (0.5272254676105024, 0.022912470007356557),
        (0.4999999999999999, 0.023799944345377227),
        (0.4722710747726827, 0.02465547402478563),
        (0.444066612605774, 0.025475614129516665),
        (0.41541501300188644, 0.026257062244831923),
        (0.38634512569312857, 0.026996671754978274),
        (0.3568862215918719, 0.02769146451349891),
        (0.32706796331742155, 0.02833864283517806),
        (0.2969203753282749, 0.028935600761331875),
        (0.266473813690035, 0.029479934553084303),
        (0.23575893550942728, 0.029969452370375193),
        (0.20480666806519066, 0.030402183097726573),
        (0.17364817766693041, 0.030776384281229),
        (0.14231483827328512, 0.0310905491447885),
        (0.1108381999010111, 0.031343412657382046),
        (0.07924995685678844, 0.03153395662689103),
        (0.04758191582374218, 0.03166141380000153),
        (0.01586596383480793, 0.031725270951662665),
    ],
    &[
        (0.9995065603657316, 0.000030996077366398226),
        (0.9980267284282716, 0.0001238619821089885),
        (0.99556196460308, 0.0002782312149281481),
        (0.9921147013144779, 0.0004934945509865338),
        (0.9876883405951378, 0.0007688024442411866),
        (0.9822872507286887, 0.001103068380213643),
        (0.9759167619387474, 0.0014949731639661995),
        (0.9685831611286311, 0.0019429701263616497),
        (0.9602936856769431, 0.002445291228059763),
        (0.9510565162951535, 0.0029999540371608165),
        (0.9408807689542255, 0.003604769552958626),
        (0.9297764858882513, 0.004257350844926259),
        (0.9177546256839811, 0.004955122472840355),
        (0.9048270524660195, 0.005695330650867072),
        (0.8910065241883679, 0.0064750541154966835),
        (0.8763066800438636, 0.007291215654436067),
        (0.8607420270039436, 0.008140594250959766),
        (0.8443279255020151, 0.009019837795791474),
        (0.8270805742745618, 0.0099254763163479),
        (0.8090169943749475, 0.0108539356711353),
        (0.7901550123756903, 0.011801551655253054),
        (0.7705132427757891, 0.012764584461336416),
        (0.7501110696304596, 0.013739233438867605),
        (0.7289686274214116, 0.014721652093607082),
        (0.7071067811865475, 0.01570796326794897),
        (0.6845471059286886, 0.016694274442290855),
        (0.6613118653236518, 0.017676693097030332),
        (0.6374239897486896, 0.018651342074561518),
        (0.6129070536529765, 0.01961437488064488),
        (0.587785252292473, 0.020561990864762635),
        (0.5620833778521306, 0.021490450219550032),
        (0.5358267949789965, 0.02239608874010646),
        (0.5090414157503712, 0.023275332284938166),
        (0.48175367410171516, 0.024124710881461873),
        (0.4539904997395468, 0.024940872420401248),
        (0.42577929156507266, 0.025720595885030867),
        (0.39714789063478056, 0.02646080406305758),
        (0.36812455268467786, 0.02715857569097168),
        (0.33873792024529126, 0.027811156982939313),
        (0.30901699437494745, 0.028415972498737115),
        (0.2789911060392293, 0.028970635307838173),
        (0.24868988716485474, 0.02947295640953628),
        (0.21814324139654248, 0.029920953371931736),
        (0.18738131458572452, 0.030312858155684293),
        (0.1564344650402307, 0.03064712409165675),
        (0.12533323356430426, 0.030922431984911403),
        (0.09410831331851428, 0.031137695320969785),
        (0.0627905195293133, 0.03129206455378895),
        (0.031410759078128174, 0.03138493045853154),
        (0.0, 0.031415926535897934),
    ],
    &[
        (0.9995162822919881, 0.000030084682347440752),
        (0.9980655971335943, 0.00012022233759822742),
        (0.9956493479690186, 0.0002700642406749836),
        (0.9922698723632765, 0.0004790306823640706),
        (0.9879304397407567, 0.0007463132120979165),
        (0.9826352482222637, 0.0010708777656932068),
        (0.976389420563607, 0.0014514686659443245),
        (0.9691989991996661, 0.001886613480594522),
        (0.9610709403987245, 0.0023746287188902778),
        (0.9520131075327299, 0.0029136263446799746),
        (0.9420342634699892, 0.0035015210808589836),
        (0.9311440620976595, 0.00413603847690169),
        (0.9193530389822363, 0.00481472370826871),
        (0.9066726011770726, 0.00553495107364616),
        (0.8931150161867916, 0.00629393415327394),
        (0.8786934000992688, 0.007088736589062477),
        (0.8634217048966635, 0.007916283444791745),
        (0.8473147049577775, 0.008773373102442117),
        (0.8303879827647975, 0.009656689648632559),
        (0.8126579138282503, 0.010562815703245267),
        (0.7941416508447535, 0.011488245640605514),
        (0.7748571071028899, 0.012429399152066322),
        (0.754822939153257, 0.0133826350975271),
        (0.7340585287594601, 0.014344265592297322),
        (0.712583964147507, 0.01531057027480598),
        (0.6904200205717468, 0.01627781069995774),
        (0.6675881402161536, 0.01724224480245077),
        (0.6441104114503978, 0.01820014137410042),
        (0.6200095474607752, 0.019147794499158852),
        (0.5953088642766661, 0.020081537891783133),
        (0.5700322582137828, 0.020997759080182896),
        (0.5442041827560273, 0.021892913382571946),
        (0.5178496248983255, 0.02276353762085343),
        (0.4909940809733222, 0.02360626351898318),
        (0.46366353198532734, 0.02441783073417531),
        (0.4358844184753712, 0.025195099470535127),
        (0.407683614941689, 0.02593506262631947),
        (0.3790884038403794, 0.026634857427829173),
        (0.3501264491913908, 0.02729177650492436),
        (0.3208257698153678, 0.027903278365313564),
        (0.2912147122272521, 0.028466997227093706),
        (0.26132192321286074, 0.02898075217150062),
        (0.23117632211496977, 0.029442555580460127),
        (0.20080707285571867, 0.02985062082629622),
        (0.17024355572239863, 0.030203369183846446),
        (0.13951533894392312, 0.03049943593824287),
        (0.10865215008547471, 0.03073767566472879),
        (0.07768384728900624, 0.030917166660084594),
        (0.04664039038741761, 0.03103721450851846),
        (0.015551811920351015, 0.031097354768226164),
    ],
];

pub const WEIGHTS_HERMITE: &[&[(f64, f64)]] = &[
    &[(0.0, 1.7724538509055159)],
    &[(f64::consts::FRAC_1_SQRT_2, 0.8862269254527577)],
    &[
        (0.0000000000000020867605332510614, 1.1816359006036774),
        (1.2247448713915892, 0.29540897515091924),
    ],
    &[
        (0.5246476232752904, 0.8049140900055128),
        (1.6506801238857847, 0.08131283544724513),
    ],
    &[
        (0.0, 0.9453087204829418),
        (0.9585724646138184, 0.39361932315224124),
        (2.0201828704560856, 0.01995324205904593),
    ],
    &[
        (0.4360774119276165, 0.7246295952243924),
        (1.335849074013697, 0.15706732032285667),
        (2.350604973674492, 0.004530009905508863),
    ],
    &[
        (0.8162878828589646, 0.42560725261012794),
        (1.6735516287674714, 0.05451558281912708),
        (2.6519613568352334, 0.0009717812450995206),
    ],
    &[
        (0.3811869902073221, 0.6611470125582413),
        (1.1571937124467804, 0.20780232581489166),
        (1.9816567566958425, 0.017077983007413533),
        (2.930637420257244, 0.00019960407221136727),
    ],
    &[
        (0.7235510187528376, 0.4326515590025556),
        (1.468553289216668, 0.08847452739437663),
        (3.1909932017815277, 0.00003960697726326427),
        (2.2665805845318427, 0.004943624275536939),
    ],
    &[
        (0.34290132722370464, 0.6108626337353256),
        (1.0366108297895136, 0.2401386110823146),
        (1.7566836492998819, 0.033874394455480836),
        (2.532731674232789, 0.0013436457467812467),
        (3.4361591188377383, 0.00000764043285523254),
    ],
    &[
        (0.0, 0.6547592869145917),
        (0.6568095668820997, 0.4293597523561252),
        (1.3265570844949333, 0.1172278751677079),
        (2.025948015825756, 0.011911395444911429),
        (3.6684708465595826, 0.000001439560393714253),
        (2.783290099781651, 0.0003468194663233478),
    ],
    &[
        (0.31424037625435913, 0.5701352362624794),
        (0.9477883912401637, 0.2604923102641614),
        (1.5976826351526041, 0.05160798561588446),
        (2.2795070805010624, 0.003905390584629015),
        (3.8897248978697827, 0.0000002658551684356262),
        (3.0206370251208883, 0.00008573687043587651),
    ],
    &[
        (0.6057638791710601, 0.42161629689854324),
        (1.2200550365907485, 0.14032332068702336),
        (1.8531076516015115, 0.020862775296170016),
        (2.519735685678236, 0.0012074599927194365),
        (4.101337596178638, 0.00000004825731850073284),
        (3.2466089783724073, 0.00002043036040270752),
        (0.0000000000000020561243904877227, 0.6043931879211616),
    ],
    &[
        (0.8787137873293992, 0.2731056090642469),
        (1.4766827311411403, 0.06850553422346557),
        (2.0951832585077144, 0.007850054726458165),
        (2.7484707249854052, 0.0003550926135518842),
        (4.304448570473632, 0.000000008628591168125228),
        (3.462656933602273, 0.000004716484355018683),
        (0.2917455106725621, 0.5364059097120901),
    ],
    &[
        (0.5650695832555758, 0.4120286874988989),
        (1.1361155852109206, 0.15848891579593533),
        (1.7199925751864868, 0.030780033872546457),
        (2.3257324861738566, 0.00277806884291274),
        (3.6699503734044576, 0.0000010591155477110144),
        (2.9671669279056, 0.00010000444123249368),
        (4.4999907073093866, 0.0000000015224758042536394),
    ],
    &[
        (4.688738939305813, 0.0000000002654807474011472),
        (0.27348104613815244, 0.5079294790166136),
        (1.3802585391988793, 0.08381004139898629),
        (1.9517879909162572, 0.012880311535510162),
        (2.5462021578474934, 0.000932284008624053),
        (3.8694479048601167, 0.00000023209808448655447),
        (3.1769991619799516, 0.0000271186009253837),
        (0.8229514491446557, 0.28064745852853384),
    ],
    &[
        (0.5316330013426547, 0.4018264694704118),
        (1.0676487257434508, 0.1726482976700975),
        (1.6129243142212313, 0.040920034149756424),
        (2.1735028266666245, 0.005067349957627136),
        (2.7577629157038923, 0.00029864328669771626),
        (4.871345193674406, 0.000000000045805789307981146),
        (4.061946675875511, 0.0000000497707898162795),
        (3.3789320911415084, 0.000007112289140019297),
    ],
    &[
        (1.3009208583896186, 0.09730174764131451),
        (0.7766829192674118, 0.28480728566997965),
        (1.8355316042616374, 0.018640042387542546),
        (2.386299089166682, 0.001888522630268459),
        (3.5737690684862033, 0.0000018106544810949903),
        (2.961377505531634, 0.00009181126867930403),
        (0.25826775051909673, 0.4834956947254555),
        (5.048364008874456, 0.000000000007828199772117288),
        (4.2481178735680984, 0.000000010467205795795588),
    ],
    &[
        (1.0103683871343112, 0.18363270130699702),
        (0.5035201634238882, 0.3916089886130303),
        (5.220271690537475, 0.0000000000013262970944986284),
        (1.524170619393532, 0.050810386909051944),
        (2.049231709850601, 0.007988866777723876),
        (2.591133789794568, 0.0006708775214069669),
        (3.762187351963988, 0.000000448824314722163),
        (3.1578488183475804, 0.000027209197763165388),
        (0.0, 0.5029748882761865),
        (4.428532806603742, 0.0000000021630510098654235),
    ],
    &[
        (1.2340762153953238, 0.1090172060200211),
        (1.7385377121165846, 0.024810520887464226),
        (2.254974002089305, 0.003243773342235725),
        (0.7374737285453944, 0.286675505362835),
        (2.78880605842807, 0.00022833863601637704),
        (3.347854567383257, 0.000007802556478534267),
        (4.603682449550751, 0.00000000043993409922740877),
        (5.387480890011245, 0.00000000000022293936455336517),
        (3.944764040115711, 0.00000010860693707686313),
        (0.24534070830090127, 0.46224366960061),
    ],
    &[
        (3.531972877137794, 0.000002171884898048788),
        (0.47945070707910753, 0.38166907361350244),
        (0.9614996344183693, 0.192120324066999),
        (1.4489342506507334, 0.06017964665891326),
        (1.9449629491862477, 0.01141406583743688),
        (2.453552124512811, 0.0012549820417267015),
        (2.9799912077046717, 0.00007478398867305183),
        (
            0.000000000000000000000000006462348535570529,
            0.4790237031201776,
        ),
        (5.550351873264615, 0.00000000000003720365070141905),
        (4.773992343411177, 0.00000000008818611242057148),
        (4.121995547491838, 0.00000002571230180058311),
    ],
    &[
        (0.703686097170007, 0.28697143324690716),
        (1.1767139584812443, 0.11910236095878116),
        (1.6558743732864287, 0.03114037088442125),
        (2.144233592798554, 0.004978399335052298),
        (2.6456374410581787, 0.0004648850508843284),
        (3.1652659092025375, 0.000023655128552354708),
        (4.9398341310599845, 0.00000000001744339007555653),
        (4.294312480593143, 0.000000005966990986060552),
        (3.710701532877414, 0.0000005884287563355937),
        (0.23417913993099063, 0.4435452264349592),
        (5.709201353205243, 0.000000000000006167183424407208),
    ],
    &[
        (0.4585383500681047, 0.37214382487756514),
        (0.9191514654425641, 0.19864489857802417),
        (1.3840395856824963, 0.06889028942908348),
        (1.855677037671392, 0.015207084004479742),
        (2.3370162114744453, 0.002069567874959676),
        (2.8318037871264155, 0.00016556169914145043),
        (3.345127159940965, 0.000007249295917998907),
        (4.462091173740272, 0.0000000013596296503880212),
        (5.864309498984492, 0.0000000000000010160384620658547),
        (3.884472708105962, 0.0000001555339329152806),
        (
            0.0000000000000000000000016543612251060553,
            0.4581965855932134,
        ),
        (5.101534610476862, 0.0000000000034083140980248967),
    ],
    &[
        (0.6741711070372122, 0.2861795353464431),
        (1.126760817611244, 0.12773962178455622),
        (1.584250010961693, 0.03744547050322833),
        (2.049003573661725, 0.0070483558100753),
        (2.5238810170115142, 0.0008236924826873838),
        (3.012546137565452, 0.00005688691636410299),
        (3.520006813033911, 0.000002158245704907957),
        (6.015925561425685, 0.00000000000000016643684964905528),
        (5.259382927667653, 0.0000000000006584620243144965),
        (4.6256627564235036, 0.00000000030462542699915223),
        (4.053664402447418, 0.00000004018971174972658),
        (0.2244145474725156, 0.4269311638686992),
    ],
    &[
        (0.44014729864530827, 0.3630889892758904),
        (0.0, 0.4398687221694848),
        (0.8819827562138218, 0.20362113667812456),
        (1.7780011243371694, 0.019243098965403146),
        (2.236420130267199, 0.00311570872012796),
        (2.70532023717262, 0.00031508363874643294),
        (3.188294924426567, 0.000018915972957056787),
        (3.69028287699787, 0.0000006257032499701357),
        (6.164272434052493, 0.000000000000000027119235140370137),
        (4.7853203673509705, 0.00000000006719638417833212),
        (4.218609444387147, 0.000000010170382502923877),
        (1.3272807020730844, 0.07688899517581167),
        (5.413636355279929, 0.0000000000001258814987742918),
    ],
    &[
        (0.6480952139934482, 0.2846322411767852),
        (1.0827330110778826, 0.13511332791179118),
        (1.5213615166519332, 0.043598227217242914),
        (1.9658547856411226, 0.009397901291169033),
        (2.418415764773397, 0.001319064722329061),
        (2.8817622195427477, 0.00011622970160242979),
        (3.359427182349851, 0.000006103291717458342),
        (4.941324957240534, 0.000000000014609999340386852),
        (3.856288419910406, 0.0000001770106337350004),
        (6.309550385625781, 0.000000000000000004396916094745849),
        (4.3796026629880425, 0.000000002524494034229863),
        (0.21577785624346346, 0.41204365059036935),
        (5.56452498194968, 0.000000000000023831486593989576),
    ],
    &[
        (0.42380790054385303, 0.3545173040997538),
        (1.7095607392603236, 0.023415933625335724),
        (1.2770668173398612, 0.08417308108405078),
        (2.1482966453617864, 0.00438127983579775),
        (2.5954163389102898, 0.000536769615688849),
        (3.053582419823145, 0.000041467580044010925),
        (4.018318670409682, 0.00000004895400409624011),
        (3.526275340134713, 0.0000019152809005796453),
        (0.8490113420601032, 0.20737048075100933),
        (5.7122555528145975, 0.000000000000004470772457581752),
        (5.093910003117675, 0.000000000003134117613177478),
        (6.451940140753698, 0.000000000000000000709577929700296),
        (4.536906663370579, 0.0000000006155031578527683),
        (0.0, 0.42357728801505945),
    ],
];

// Taken from https://github.com/Eh2406/quadrature/blob/master/src/double_exponential/constants.rs
// which is published under the BSD license
#[allow(clippy::excessive_precision)]
pub const WEIGHTS_DE: [&[(f64, f64)]; 7] = [
    &[
        // First layer weights
        (0.230022394514788685, 0.95136796407274694573),
        (0.00026620051375271690866, 0.99997747719246159286),
        (1.3581784274539090834e-12, 0.99999999999995705839),
    ],
    &[
        // 2nd layer weights and abcissas: transformed 1/2, 3/2, 5/2
        (0.5 * 0.96597657941230114801, 0.67427149224843582608),
        (0.5 * 0.018343166989927842087, 0.99751485645722438683),
        (0.5 * 2.1431204556943039358e-7, 0.99999998887566488198),
    ],
    &[
        // 3rd layer weights and abcissas: transformed 1/4, 3/4, ...
        (0.25 * 1.3896147592472563229, 0.37720973816403417379),
        (0.25 * 0.53107827542805397476, 0.85956905868989663517),
        (0.25 * 0.076385743570832304188, 0.98704056050737689169),
        (0.25 * 0.0029025177479013135936, 0.99968826402835320905),
        (0.25 * 0.000011983701363170720047, 0.99999920473711471266),
        (0.25 * 1.1631165814255782766e-9, 0.99999999995285644818),
    ],
    &[
        // 4th layer weights and abcissas: transformed 1/8, 3/8, ...
        (0.125 * 1.5232837186347052132, 0.19435700332493543161),
        (0.125 * 1.1934630258491569639, 0.53914670538796776905),
        (0.125 * 0.73743784836154784136, 0.78060743898320029925),
        (0.125 * 0.36046141846934367417, 0.91487926326457461091),
        (0.125 * 0.13742210773316772341, 0.97396686819567744856),
        (0.125 * 0.039175005493600779072, 0.99405550663140214329),
        (0.125 * 0.0077426010260642407123, 0.99906519645578584642),
        (0.125 * 0.00094994680428346871691, 0.99990938469514399984),
        (0.125 * 0.000062482559240744082891, 0.99999531604122052843),
        (0.125 * 1.8263320593710659699e-6, 0.99999989278161241838),
        (0.125 * 1.8687282268736410132e-8, 0.99999999914270509218),
        (0.125 * 4.9378538776631926964e-11, 0.99999999999823216531),
    ],
    &[
        //  5th layer weights and abcissa: transformed 1/16, 3/16, ...
        (0.0625 * 1.5587733555333301451, 0.097923885287832333262),
        (0.0625 * 1.466014426716965781, 0.28787993274271591456),
        (0.0625 * 1.297475750424977998, 0.46125354393958570440),
        (0.0625 * 1.0816349854900704074, 0.61027365750063894488),
        (0.0625 * 0.85017285645662006895, 0.73101803479256151149),
        (0.0625 * 0.63040513516474369106, 0.82331700550640237006),
        (0.0625 * 0.44083323627385823707, 0.88989140278426019808),
        (0.0625 * 0.290240679312454185, 0.93516085752198468323),
        (0.0625 * 0.17932441211072829296, 0.96411216422354729193),
        (0.0625 * 0.10343215422333290062, 0.98145482667733517003),
        (0.0625 * 0.055289683742240583845, 0.99112699244169880223),
        (0.0625 * 0.027133510013712003219, 0.99610866543750854254),
        (0.0625 * 0.012083543599157953493, 0.99845420876769773751),
        (0.0625 * 0.0048162981439284630173, 0.99945143443527460584),
        (0.0625 * 0.0016908739981426396472, 0.99982882207287494166),
        (0.0625 * 0.00051339382406790336017, 0.99995387100562796075),
        (0.0625 * 0.00013205234125609974879, 0.99998948201481850361),
        (0.0625 * 0.000028110164327940134749, 0.99999801714059543208),
        (0.0625 * 4.8237182032615502124e-6, 0.99999969889415261122),
        (0.0625 * 6.4777566035929719908e-7, 0.99999996423908091534),
        (0.0625 * 6.5835185127183396672e-8, 0.99999999678719909830),
        (0.0625 * 4.8760060974240625869e-9, 0.99999999978973286224),
        (0.0625 * 2.5216347918530148572e-10, 0.99999999999039393352),
        (0.0625 * 8.6759314149796046502e-12, 0.99999999999970809734),
    ],
    &[
        // 6th layer weights and abcissas: transformed 1/32, 3/32, ...
        (0.03125 * 1.5677814313072218572, 0.049055967305077886315),
        (0.03125 * 1.5438811161769592204, 0.14641798429058794053),
        (0.03125 * 1.4972262225410362896, 0.24156631953888365838),
        (0.03125 * 1.4300083548722996676, 0.33314226457763809244),
        (0.03125 * 1.3452788847662516615, 0.41995211127844715849),
        (0.03125 * 1.2467012074518577048, 0.50101338937930910152),
        (0.03125 * 1.1382722433763053734, 0.57558449063515165995),
        (0.03125 * 1.0240449331118114483, 0.64317675898520470128),
        (0.03125 * 0.90787937915489531693, 0.70355000514714201566),
        (0.03125 * 0.79324270082051671787, 0.75669390863372994941),
        (0.03125 * 0.68306851634426375464, 0.80279874134324126576),
        (0.03125 * 0.57967810308778764708, 0.84221924635075686382),
        (0.03125 * 0.48475809121475539287, 0.87543539763040867837),
        (0.03125 * 0.39938474152571713515, 0.90301328151357387064),
        (0.03125 * 0.32408253961152890402, 0.92556863406861266645),
        (0.03125 * 0.258904639514053516, 0.94373478605275715685),
        (0.03125 * 0.20352399885860174519, 0.95813602271021369012),
        (0.03125 * 0.15732620348436615027, 0.96936673289691733517),
        (0.03125 * 0.11949741128869592428, 0.97797623518666497298),
        (0.03125 * 0.089103139240941462841, 0.98445883116743083087),
        (0.03125 * 0.065155533432536205042, 0.98924843109013389601),
        (0.03125 * 0.046668208054846613644, 0.99271699719682728538),
        (0.03125 * 0.032698732726609031113, 0.99517602615532735426),
        (0.03125 * 0.022379471063648476483, 0.99688031812819187372),
        (0.03125 * 0.014937835096050129696, 0.99803333631543375402),
        (0.03125 * 0.0097072237393916892692, 0.99879353429880589929),
        (0.03125 * 0.0061300376320830301252, 0.99928111192179195541),
        (0.03125 * 0.0037542509774318343023, 0.99958475035151758732),
        (0.03125 * 0.0022250827064786427022, 0.99976797159956083506),
        (0.03125 * 0.0012733279447082382027, 0.99987486504878034648),
        (0.03125 * 0.0007018595156842422708, 0.99993501992508242369),
        (0.03125 * 0.00037166693621677760301, 0.99996759306794345976),
        (0.03125 * 0.00018856442976700318572, 0.99998451990227082442),
        (0.03125 * 0.000091390817490710122732, 0.99999293787666288565),
        (0.03125 * 0.000042183183841757600604, 0.99999693244919035751),
        (0.03125 * 0.000018481813599879217116, 0.99999873547186590954),
        (0.03125 * 7.6595758525203162562e-6, 0.99999950700571943689),
        (0.03125 * 2.9916615878138787094e-6, 0.99999981889371276701),
        (0.03125 * 1.0968835125901264732e-6, 0.99999993755407837378),
        (0.03125 * 3.7595411862360630091e-7, 0.99999997987450320175),
        (0.03125 * 1.1992442782902770219e-7, 0.99999999396413420165),
        (0.03125 * 3.5434777171421953043e-8, 0.99999999832336194826),
        (0.03125 * 9.6498888961089633609e-9, 0.99999999957078777261),
        (0.03125 * 2.4091773256475940779e-9, 0.99999999989927772326),
        (0.03125 * 5.482835779709497755e-10, 0.99999999997845533741),
        (0.03125 * 1.1306055347494680536e-10, 0.99999999999582460688),
        (0.03125 * 2.0989335404511469109e-11, 0.99999999999927152627),
        (0.03125 * 3.4841937670261059685e-12, 0.99999999999988636130),
    ],
    &[
        // 7th layer weights and abcissas: transformed 1/64, 3/64, ...
        (0.015625 * 1.5700420292795931467, 0.024539763574649160379),
        (0.015625 * 1.5640214037732320999, 0.073525122985671294475),
        (0.015625 * 1.5520531698454121192, 0.12222912220155764235),
        (0.015625 * 1.5342817381543034316, 0.17046797238201051811),
        (0.015625 * 1.5109197230741697127, 0.21806347346971200463),
        (0.015625 * 1.48224329788553807, 0.26484507658344795046),
        (0.015625 * 1.4485862549613225916, 0.31065178055284596083),
        (0.015625 * 1.4103329714462590129, 0.35533382516507453330),
        (0.015625 * 1.3679105116808964881, 0.39875415046723775644),
        (0.015625 * 1.3217801174437728579, 0.44078959903390086627),
        (0.015625 * 1.2724283455378627082, 0.48133184611690504422),
        (0.015625 * 1.2203581095793582207, 0.52028805069123015958),
        (0.015625 * 1.1660798699324345766, 0.55758122826077823080),
        (0.015625 * 1.1101031939653403796, 0.59315035359195315880),
        (0.015625 * 1.0529288799552666556, 0.62695020805104287950),
        (0.015625 * 0.99504180404613271514, 0.65895099174335012438),
        (0.015625 * 0.93690461274566793366, 0.68913772506166767176),
        (0.015625 * 0.87895234555278212039, 0.71750946748732412721),
        (0.015625 * 0.82158803526696470334, 0.74407838354734739913),
        (0.015625 * 0.7651792989089561367, 0.76886868676824658459),
        (0.015625 * 0.71005590120546898385, 0.79191549237614211447),
        (0.015625 * 0.65650824613162753076, 0.81326360850297385168),
        (0.015625 * 0.60478673057840362158, 0.83296629391941087564),
        (0.015625 * 0.55510187800363350959, 0.85108400798784873261),
        (0.015625 * 0.5076251588319080997, 0.86768317577564598669),
        (0.015625 * 0.4624903980553677613, 0.88283498824466895513),
        (0.015625 * 0.41979566844501548066, 0.89661425428007602579),
        (0.015625 * 0.37960556938665160999, 0.90909831816302043511),
        (0.015625 * 0.3419537959230168323, 0.92036605303195280235),
        (0.015625 * 0.30684590941791694932, 0.93049693799715340631),
        (0.015625 * 0.27426222968906810637, 0.93957022393327475539),
        (0.015625 * 0.24416077786983990868, 0.94766419061515309734),
        (0.015625 * 0.21648020911729617038, 0.95485549580502268541),
        (0.015625 * 0.19114268413342749532, 0.96121861515111640753),
        (0.015625 * 0.16805663794826916233, 0.96682537031235585284),
        (0.015625 * 0.14711941325785693248, 0.97174454156548730892),
        (0.015625 * 0.12821973363120098675, 0.97604156025657673933),
        (0.015625 * 0.11123999898874453035, 0.97977827580061576265),
        (0.015625 * 0.096058391865189467849, 0.98301279148110110558),
        (0.015625 * 0.082550788110701737654, 0.98579936302528343597),
        (0.015625 * 0.070592469906866999352, 0.98818835380074264243),
        (0.015625 * 0.060059642358636300319, 0.99022624046752774694),
        (0.015625 * 0.05083075757257047107, 0.99195566300267761562),
        (0.015625 * 0.042787652157725676034, 0.99341551316926403900),
        (0.015625 * 0.035816505604196436523, 0.99464105571251119672),
        (0.015625 * 0.029808628117310126969, 0.99566407681695316965),
        (0.015625 * 0.024661087314753282511, 0.99651305464025377317),
        (0.015625 * 0.020277183817500123926, 0.99721334704346870224),
        (0.015625 * 0.016566786254247575375, 0.99778739195890653083),
        (0.015625 * 0.013446536605285730674, 0.99825491617199629344),
        (0.015625 * 0.010839937168255907211, 0.99863314864067747762),
        (0.015625 * 0.0086773307495391815854, 0.99893703483351217373),
        (0.015625 * 0.0068957859690660035329, 0.99917944893488591716),
        (0.015625 * 0.0054388997976239984331, 0.99937140114093768690),
        (0.015625 * 0.0042565295990178580165, 0.99952223765121720422),
        (0.015625 * 0.0033044669940348302363, 0.99963983134560036519),
        (0.015625 * 0.0025440657675291729678, 0.99973076151980848263),
        (0.015625 * 0.0019418357759843675814, 0.99980048143113838630),
        (0.015625 * 0.0014690143599429791058, 0.99985347277311141171),
        (0.015625 * 0.0011011261134519383862, 0.99989338654759256426),
        (0.015625 * 0.00081754101332469493115, 0.99992317012928932869),
        (0.015625 * 0.00060103987991147422573, 0.99994518061445869309),
        (0.015625 * 0.00043739495615911687786, 0.99996128480785666613),
        (0.015625 * 0.00031497209186021200274, 0.99997294642523223656),
        (0.015625 * 0.00022435965205008549104, 0.99998130127012072679),
        (0.015625 * 0.00015802788400701191949, 0.99998722128200062811),
        (0.015625 * 0.00011002112846666697224, 0.99999136844834487344),
        (
            0.015625 * 0.000075683996586201477788,
            0.99999423962761663478,
        ),
        (
            0.015625 * 0.000051421497447658802092,
            0.99999620334716617675,
        ),
        (0.015625 * 0.0000344921247593431977, 0.99999752962380516793),
        (
            0.015625 * 0.000022832118109036146591,
            0.99999841381096473542,
        ),
        (
            0.015625 * 0.000014908514031870608449,
            0.99999899541068996962,
        ),
        (0.015625 * 9.5981941283784710776e-6, 0.99999937270733536947),
        (0.015625 * 6.0899100320949039256e-6, 0.99999961398855024275),
        (0.015625 * 3.8061983264644899045e-6, 0.99999976602333243312),
        (0.015625 * 2.3421667208528096843e-6, 0.99999986037121459941),
        (0.015625 * 1.4183067155493917523e-6, 0.99999991800479471056),
        (0.015625 * 8.4473756384859863469e-7, 0.99999995264266446185),
        (0.015625 * 4.9458288702754198508e-7, 0.99999997311323594362),
        (0.015625 * 2.8449923659159806339e-7, 0.99999998500307631173),
        (0.015625 * 1.6069394579076224911e-7, 0.99999999178645609907),
        (0.015625 * 8.9071395140242387124e-8, 0.99999999558563361584),
        (0.015625 * 4.8420950198072369669e-8, 0.99999999767323673790),
        (0.015625 * 2.579956822953589238e-8, 0.99999999879798350040),
        (0.015625 * 1.3464645522302038796e-8, 0.99999999939177687583),
        (0.015625 * 6.8784610955899001111e-9, 0.99999999969875436925),
        (0.015625 * 3.4371856744650090511e-9, 0.99999999985405611550),
        (0.015625 * 1.6788897682161906807e-9, 0.99999999993088839501),
        (0.015625 * 8.0099784479729665356e-10, 0.99999999996803321674),
        (0.015625 * 3.7299501843052790038e-10, 0.99999999998556879008),
        (0.015625 * 1.6939457789411646876e-10, 0.99999999999364632387),
        (0.015625 * 7.4967397573818224522e-11, 0.99999999999727404948),
        (0.015625 * 3.230446433325236576e-11, 0.99999999999886126543),
        (0.015625 * 1.3542512912336274432e-11, 0.99999999999953722654),
        (0.015625 * 5.5182369468174885821e-12, 0.99999999999981720098),
        (0.015625 * 2.1835922099233609052e-12, 0.99999999999992987953),
    ],
]; // end weights

pub const WEIGHTS_LAGUERRE: &[&[(f64, f64)]] = &[
    &[(1.0, 1.0)],
    &[
        (3.414213562373095, 0.1464466094067262),
        (0.5857864376269049, 0.8535533905932741),
    ],
    &[
        (0.415774556783479, 0.7110930099291731),
        (2.2942803602790414, 0.2785177335692415),
        (6.2899450829374794, 0.0103892565015861),
    ],
    &[
        (0.32254768961939234, 0.6031541043416327),
        (1.7457611011583463, 0.35741869243780167),
        (9.395070912301131, 0.0005392947055613306),
        (4.536620296921128, 0.03888790851500506),
    ],
    &[
        (0.2635603197181409, 0.5217556105828075),
        (1.4134030591065174, 0.39866681108317414),
        (3.5964257710407215, 0.07594244968170707),
        (7.085810005858829, 0.003611758679922193),
        (12.64080084427578, 0.000023369972385775425),
    ],
    &[
        (0.2228466041792607, 0.4589646739499644),
        (1.1889321016726224, 0.4170008307721208),
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