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@@ -13,310 +13,310 @@ pub fn erfc(x: f64) -> f64 {
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/// Polynomial coefficients for a numerator of `erf_impl`
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/// Polynomial coefficients for a numerator of `erf_impl`
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/// in the interval [1e-10, 0.5].
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/// in the interval [1e-10, 0.5].
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const ERF_IMPL_AN: &[f64] = &[
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const ERF_IMPL_AN: &[f64] = &[
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0.00337916709551257388990745,
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0.003_379_167_095_512_573_7,
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-0.00073695653048167948530905,
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-0.000_736_956_530_481_679_5,
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-0.374732337392919607868241,
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-0.374_732_337_392_919_6,
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0.0817442448733587196071743,
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0.081_744_244_873_358_73,
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-0.0421089319936548595203468,
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-0.042_108_931_993_654_86,
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0.0070165709512095756344528,
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0.007_016_570_951_209_575,
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-0.00495091255982435110337458,
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-0.004_950_912_559_824_351,
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0.000871646599037922480317225,
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0.000_871_646_599_037_922_5,
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];
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];
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/// Polynomial coefficients for a denominator of `erf_impl`
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/// Polynomial coefficients for a denominator of `erf_impl`
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/// in the interval [1e-10, 0.5]
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/// in the interval [1e-10, 0.5]
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const ERF_IMPL_AD: &[f64] = &[
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const ERF_IMPL_AD: &[f64] = &[
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1.0,
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1.0,
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-0.218088218087924645390535,
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-0.218_088_218_087_924_64,
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0.412542972725442099083918,
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0.412_542_972_725_442_1,
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-0.0841891147873106755410271,
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-0.084_189_114_787_310_67,
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0.0655338856400241519690695,
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0.065_533_885_640_024_16,
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-0.0120019604454941768171266,
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-0.012_001_960_445_494_177,
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0.00408165558926174048329689,
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0.004_081_655_589_261_74,
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-0.000615900721557769691924509,
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-0.000_615_900_721_557_769_7,
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];
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];
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/// Polynomial coefficients for a numerator in `erf_impl`
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/// Polynomial coefficients for a numerator in `erf_impl`
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/// in the interval [0.5, 0.75].
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/// in the interval [0.5, 0.75].
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const ERF_IMPL_BN: &[f64] = &[
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const ERF_IMPL_BN: &[f64] = &[
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-0.0361790390718262471360258,
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-0.036_179_039_071_826_25,
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0.292251883444882683221149,
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0.292_251_883_444_882_7,
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0.281447041797604512774415,
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0.281_447_041_797_604_5,
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0.125610208862766947294894,
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0.125_610_208_862_766_94,
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0.0274135028268930549240776,
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0.027_413_502_826_893_053,
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0.00250839672168065762786937,
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0.002_508_396_721_680_657_5,
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];
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];
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/// Polynomial coefficients for a denominator in `erf_impl`
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/// Polynomial coefficients for a denominator in `erf_impl`
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/// in the interval [0.5, 0.75].
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/// in the interval [0.5, 0.75].
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const ERF_IMPL_BD: &[f64] = &[
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const ERF_IMPL_BD: &[f64] = &[
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1.0,
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1.0,
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1.8545005897903486499845,
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1.854_500_589_790_348_6,
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1.43575803037831418074962,
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1.435_758_030_378_314_2,
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0.582827658753036572454135,
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0.582_827_658_753_036_5,
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0.124810476932949746447682,
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0.124_810_476_932_949_75,
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0.0113724176546353285778481,
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0.011_372_417_654_635_328,
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];
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];
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/// Polynomial coefficients for a numerator in `erf_impl`
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/// Polynomial coefficients for a numerator in `erf_impl`
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/// in the interval [0.75, 1.25].
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/// in the interval [0.75, 1.25].
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const ERF_IMPL_CN: &[f64] = &[
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const ERF_IMPL_CN: &[f64] = &[
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-0.0397876892611136856954425,
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-0.039_787_689_261_113_69,
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0.153165212467878293257683,
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0.153_165_212_467_878_3,
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0.191260295600936245503129,
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0.191_260_295_600_936_24,
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0.10276327061989304213645,
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0.102_763_270_619_893_04,
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0.029637090615738836726027,
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0.029_637_090_615_738_836,
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0.0046093486780275489468812,
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0.004_609_348_678_027_549,
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0.000307607820348680180548455,
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0.000_307_607_820_348_680_2,
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];
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];
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/// Polynomial coefficients for a denominator in `erf_impl`
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/// Polynomial coefficients for a denominator in `erf_impl`
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/// in the interval [0.75, 1.25].
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/// in the interval [0.75, 1.25].
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const ERF_IMPL_CD: &[f64] = &[
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const ERF_IMPL_CD: &[f64] = &[
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1.0,
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1.0,
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1.95520072987627704987886,
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1.955_200_729_876_277,
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1.64762317199384860109595,
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1.647_623_171_993_848_6,
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0.768238607022126250082483,
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0.768_238_607_022_126_2,
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0.209793185936509782784315,
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0.209_793_185_936_509_78,
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0.0319569316899913392596356,
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0.031_956_931_689_991_336,
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0.00213363160895785378615014,
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0.002_133_631_608_957_853_7,
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];
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];
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/// Polynomial coefficients for a numerator in `erf_impl`
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/// Polynomial coefficients for a numerator in `erf_impl`
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/// in the interval [1.25, 2.25].
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/// in the interval [1.25, 2.25].
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const ERF_IMPL_DN: &[f64] = &[
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const ERF_IMPL_DN: &[f64] = &[
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-0.0300838560557949717328341,
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-0.030_083_856_055_794_972,
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0.0538578829844454508530552,
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0.053_857_882_984_445_45,
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0.0726211541651914182692959,
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0.072_621_154_165_191_42,
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0.0367628469888049348429018,
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0.036_762_846_988_804_936,
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0.00964629015572527529605267,
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0.009_646_290_155_725_275,
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0.00133453480075291076745275,
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0.001_334_534_800_752_910_7,
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0.778087599782504251917881e-4,
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7.780_875_997_825_043e-5,
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];
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];
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/// Polynomial coefficients for a denominator in `erf_impl`
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/// Polynomial coefficients for a denominator in `erf_impl`
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/// in the interval [1.25, 2.25].
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/// in the interval [1.25, 2.25].
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const ERF_IMPL_DD: &[f64] = &[
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const ERF_IMPL_DD: &[f64] = &[
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1.0,
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1.0,
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1.75967098147167528287343,
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1.759_670_981_471_675_3,
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1.32883571437961120556307,
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1.328_835_714_379_611_2,
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0.552528596508757581287907,
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0.552_528_596_508_757_6,
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0.133793056941332861912279,
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0.133_793_056_941_332_87,
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0.0179509645176280768640766,
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0.017_950_964_517_628_076,
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0.00104712440019937356634038,
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0.001_047_124_400_199_373_6,
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-0.106640381820357337177643e-7,
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-1.066_403_818_203_573_4e-8,
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];
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];
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/// Polynomial coefficients for a numerator in `erf_impl`
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/// Polynomial coefficients for a numerator in `erf_impl`
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/// in the interval [2.25, 3.5].
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/// in the interval [2.25, 3.5].
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const ERF_IMPL_EN: &[f64] = &[
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const ERF_IMPL_EN: &[f64] = &[
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-0.0117907570137227847827732,
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-0.011_790_757_013_722_784,
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0.014262132090538809896674,
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0.014_262_132_090_538_81,
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0.0202234435902960820020765,
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0.020_223_443_590_296_084,
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0.00930668299990432009042239,
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0.009_306_682_999_904_321,
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0.00213357802422065994322516,
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0.002_133_578_024_220_66,
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0.00025022987386460102395382,
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0.000_250_229_873_864_601_05,
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0.120534912219588189822126e-4,
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1.205_349_122_195_881_9e-5,
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];
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];
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/// Polynomial coefficients for a denominator in `erf_impl`
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/// Polynomial coefficients for a denominator in `erf_impl`
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/// in the interval [2.25, 3.5].
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/// in the interval [2.25, 3.5].
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const ERF_IMPL_ED: &[f64] = &[
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const ERF_IMPL_ED: &[f64] = &[
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1.0,
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1.0,
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1.50376225203620482047419,
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1.503_762_252_036_204_8,
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0.965397786204462896346934,
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0.965_397_786_204_462_9,
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0.339265230476796681555511,
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0.339_265_230_476_796_7,
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0.0689740649541569716897427,
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0.068_974_064_954_156_98,
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0.00771060262491768307365526,
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0.007_710_602_624_917_683,
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0.000371421101531069302990367,
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0.000_371_421_101_531_069_3,
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];
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];
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/// Polynomial coefficients for a numerator in `erf_impl`
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/// Polynomial coefficients for a numerator in `erf_impl`
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/// in the interval [3.5, 5.25].
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/// in the interval [3.5, 5.25].
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const ERF_IMPL_FN: &[f64] = &[
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const ERF_IMPL_FN: &[f64] = &[
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-0.00546954795538729307482955,
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-0.005_469_547_955_387_293,
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0.00404190278731707110245394,
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0.004_041_902_787_317_071,
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0.0054963369553161170521356,
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0.005_496_336_955_316_117,
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0.00212616472603945399437862,
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0.002_126_164_726_039_454,
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0.000394984014495083900689956,
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0.000_394_984_014_495_083_9,
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0.365565477064442377259271e-4,
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3.655_654_770_644_424e-5,
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0.135485897109932323253786e-5,
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1.354_858_971_099_323_2e-6,
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];
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];
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/// Polynomial coefficients for a denominator in `erf_impl`
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/// Polynomial coefficients for a denominator in `erf_impl`
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/// in the interval [3.5, 5.25].
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/// in the interval [3.5, 5.25].
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const ERF_IMPL_FD: &[f64] = &[
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const ERF_IMPL_FD: &[f64] = &[
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1.0,
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1.0,
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1.21019697773630784832251,
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1.210_196_977_736_307_7,
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0.620914668221143886601045,
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0.620_914_668_221_143_9,
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0.173038430661142762569515,
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0.173_038_430_661_142_77,
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0.0276550813773432047594539,
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0.027_655_081_377_343_203,
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0.00240625974424309709745382,
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0.002_406_259_744_243_097_3,
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0.891811817251336577241006e-4,
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8.918_118_172_513_365e-5,
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-0.465528836283382684461025e-11,
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-4.655_288_362_833_827e-12,
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];
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];
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/// Polynomial coefficients for a numerator in `erf_impl`
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/// Polynomial coefficients for a numerator in `erf_impl`
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/// in the interval [5.25, 8].
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/// in the interval [5.25, 8].
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const ERF_IMPL_GN: &[f64] = &[
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const ERF_IMPL_GN: &[f64] = &[
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-0.00270722535905778347999196,
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-0.002_707_225_359_057_783_7,
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0.0013187563425029400461378,
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0.001_318_756_342_502_94,
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0.00119925933261002333923989,
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0.001_199_259_332_610_023_3,
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0.00027849619811344664248235,
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0.000_278_496_198_113_446_64,
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0.267822988218331849989363e-4,
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2.678_229_882_183_318_6e-5,
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0.923043672315028197865066e-6,
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9.230_436_723_150_282e-7,
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];
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];
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/// Polynomial coefficients for a denominator in `erf_impl`
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|
/// Polynomial coefficients for a denominator in `erf_impl`
|
|
|
|
/// in the interval [5.25, 8].
|
|
|
|
/// in the interval [5.25, 8].
|
|
|
|
const ERF_IMPL_GD: &[f64] = &[
|
|
|
|
const ERF_IMPL_GD: &[f64] = &[
|
|
|
|
1.0,
|
|
|
|
1.0,
|
|
|
|
0.814632808543141591118279,
|
|
|
|
0.814_632_808_543_141_6,
|
|
|
|
0.268901665856299542168425,
|
|
|
|
0.268_901_665_856_299_54,
|
|
|
|
0.0449877216103041118694989,
|
|
|
|
0.044_987_721_610_304_114,
|
|
|
|
0.00381759663320248459168994,
|
|
|
|
0.003_817_596_633_202_484_7,
|
|
|
|
0.000131571897888596914350697,
|
|
|
|
0.000_131_571_897_888_596_92,
|
|
|
|
0.404815359675764138445257e-11,
|
|
|
|
4.048_153_596_757_641e-12,
|
|
|
|
];
|
|
|
|
];
|
|
|
|
|
|
|
|
|
|
|
|
/// Polynomial coefficients for a numerator in `erf_impl`
|
|
|
|
/// Polynomial coefficients for a numerator in `erf_impl`
|
|
|
|
/// in the interval [8, 11.5].
|
|
|
|
/// in the interval [8, 11.5].
|
|
|
|
const ERF_IMPL_HN: &[f64] = &[
|
|
|
|
const ERF_IMPL_HN: &[f64] = &[
|
|
|
|
-0.00109946720691742196814323,
|
|
|
|
-0.001_099_467_206_917_422,
|
|
|
|
0.000406425442750422675169153,
|
|
|
|
0.000_406_425_442_750_422_67,
|
|
|
|
0.000274499489416900707787024,
|
|
|
|
0.000_274_499_489_416_900_7,
|
|
|
|
0.465293770646659383436343e-4,
|
|
|
|
4.652_937_706_466_594e-5,
|
|
|
|
0.320955425395767463401993e-5,
|
|
|
|
3.209_554_253_957_674_6e-6,
|
|
|
|
0.778286018145020892261936e-7,
|
|
|
|
7.782_860_181_450_209e-8,
|
|
|
|
];
|
|
|
|
];
|
|
|
|
|
|
|
|
|
|
|
|
/// Polynomial coefficients for a denominator in `erf_impl`
|
|
|
|
/// Polynomial coefficients for a denominator in `erf_impl`
|
|
|
|
/// in the interval [8, 11.5].
|
|
|
|
/// in the interval [8, 11.5].
|
|
|
|
const ERF_IMPL_HD: &[f64] = &[
|
|
|
|
const ERF_IMPL_HD: &[f64] = &[
|
|
|
|
1.0,
|
|
|
|
1.0,
|
|
|
|
0.588173710611846046373373,
|
|
|
|
0.588_173_710_611_846_1,
|
|
|
|
0.139363331289409746077541,
|
|
|
|
0.139_363_331_289_409_75,
|
|
|
|
0.0166329340417083678763028,
|
|
|
|
0.016_632_934_041_708_368,
|
|
|
|
0.00100023921310234908642639,
|
|
|
|
0.001_000_239_213_102_349_1,
|
|
|
|
0.24254837521587225125068e-4,
|
|
|
|
2.425_483_752_158_722_4e-5,
|
|
|
|
];
|
|
|
|
];
|
|
|
|
|
|
|
|
|
|
|
|
/// Polynomial coefficients for a numerator in `erf_impl`
|
|
|
|
/// Polynomial coefficients for a numerator in `erf_impl`
|
|
|
|
/// in the interval [11.5, 17].
|
|
|
|
/// in the interval [11.5, 17].
|
|
|
|
const ERF_IMPL_IN: &[f64] = &[
|
|
|
|
const ERF_IMPL_IN: &[f64] = &[
|
|
|
|
-0.00056907993601094962855594,
|
|
|
|
-0.000_569_079_936_010_949_6,
|
|
|
|
0.000169498540373762264416984,
|
|
|
|
0.000_169_498_540_373_762_25,
|
|
|
|
0.518472354581100890120501e-4,
|
|
|
|
5.184_723_545_811_009e-5,
|
|
|
|
0.382819312231928859704678e-5,
|
|
|
|
3.828_193_122_319_288_5e-6,
|
|
|
|
0.824989931281894431781794e-7,
|
|
|
|
8.249_899_312_818_944e-8,
|
|
|
|
];
|
|
|
|
];
|
|
|
|
|
|
|
|
|
|
|
|
/// Polynomial coefficients for a denominator in `erf_impl`
|
|
|
|
/// Polynomial coefficients for a denominator in `erf_impl`
|
|
|
|
/// in the interval [11.5, 17].
|
|
|
|
/// in the interval [11.5, 17].
|
|
|
|
const ERF_IMPL_ID: &[f64] = &[
|
|
|
|
const ERF_IMPL_ID: &[f64] = &[
|
|
|
|
1.0,
|
|
|
|
1.0,
|
|
|
|
0.339637250051139347430323,
|
|
|
|
0.339_637_250_051_139_37,
|
|
|
|
0.043472647870310663055044,
|
|
|
|
0.043_472_647_870_310_66,
|
|
|
|
0.00248549335224637114641629,
|
|
|
|
0.002_485_493_352_246_371,
|
|
|
|
0.535633305337152900549536e-4,
|
|
|
|
5.356_333_053_371_529e-5,
|
|
|
|
-0.117490944405459578783846e-12,
|
|
|
|
-1.174_909_444_054_595_8e-13,
|
|
|
|
];
|
|
|
|
];
|
|
|
|
|
|
|
|
|
|
|
|
/// Polynomial coefficients for a numerator in `erf_impl`
|
|
|
|
/// Polynomial coefficients for a numerator in `erf_impl`
|
|
|
|
/// in the interval [17, 24].
|
|
|
|
/// in the interval [17, 24].
|
|
|
|
const ERF_IMPL_JN: &[f64] = &[
|
|
|
|
const ERF_IMPL_JN: &[f64] = &[
|
|
|
|
-0.000241313599483991337479091,
|
|
|
|
-0.000_241_313_599_483_991_34,
|
|
|
|
0.574224975202501512365975e-4,
|
|
|
|
5.742_249_752_025_015e-5,
|
|
|
|
0.115998962927383778460557e-4,
|
|
|
|
1.159_989_629_273_837_7e-5,
|
|
|
|
0.581762134402593739370875e-6,
|
|
|
|
5.817_621_344_025_938e-7,
|
|
|
|
0.853971555085673614607418e-8,
|
|
|
|
8.539_715_550_856_736e-9,
|
|
|
|
];
|
|
|
|
];
|
|
|
|
|
|
|
|
|
|
|
|
/// Polynomial coefficients for a denominator in `erf_impl`
|
|
|
|
/// Polynomial coefficients for a denominator in `erf_impl`
|
|
|
|
/// in the interval [17, 24].
|
|
|
|
/// in the interval [17, 24].
|
|
|
|
const ERF_IMPL_JD: &[f64] = &[
|
|
|
|
const ERF_IMPL_JD: &[f64] = &[
|
|
|
|
1.0,
|
|
|
|
1.0,
|
|
|
|
0.233044138299687841018015,
|
|
|
|
0.233_044_138_299_687_84,
|
|
|
|
0.0204186940546440312625597,
|
|
|
|
0.020_418_694_054_644_03,
|
|
|
|
0.000797185647564398289151125,
|
|
|
|
0.000_797_185_647_564_398_3,
|
|
|
|
0.117019281670172327758019e-4,
|
|
|
|
1.170_192_816_701_723_2e-5,
|
|
|
|
];
|
|
|
|
];
|
|
|
|
|
|
|
|
|
|
|
|
/// Polynomial coefficients for a numerator in `erf_impl`
|
|
|
|
/// Polynomial coefficients for a numerator in `erf_impl`
|
|
|
|
/// in the interval [24, 38].
|
|
|
|
/// in the interval [24, 38].
|
|
|
|
const ERF_IMPL_KN: &[f64] = &[
|
|
|
|
const ERF_IMPL_KN: &[f64] = &[
|
|
|
|
-0.000146674699277760365803642,
|
|
|
|
-0.000_146_674_699_277_760_36,
|
|
|
|
0.162666552112280519955647e-4,
|
|
|
|
1.626_665_521_122_805_3e-5,
|
|
|
|
0.269116248509165239294897e-5,
|
|
|
|
2.691_162_485_091_652_3e-6,
|
|
|
|
0.979584479468091935086972e-7,
|
|
|
|
9.795_844_794_680_92e-8,
|
|
|
|
0.101994647625723465722285e-8,
|
|
|
|
1.019_946_476_257_234_6e-9,
|
|
|
|
];
|
|
|
|
];
|
|
|
|
|
|
|
|
|
|
|
|
/// Polynomial coefficients for a denominator in `erf_impl`
|
|
|
|
/// Polynomial coefficients for a denominator in `erf_impl`
|
|
|
|
/// in the interval [24, 38].
|
|
|
|
/// in the interval [24, 38].
|
|
|
|
const ERF_IMPL_KD: &[f64] = &[
|
|
|
|
const ERF_IMPL_KD: &[f64] = &[
|
|
|
|
1.0,
|
|
|
|
1.0,
|
|
|
|
0.165907812944847226546036,
|
|
|
|
0.165_907_812_944_847_22,
|
|
|
|
0.0103361716191505884359634,
|
|
|
|
0.010_336_171_619_150_588,
|
|
|
|
0.000286593026373868366935721,
|
|
|
|
0.000_286_593_026_373_868_4,
|
|
|
|
0.298401570840900340874568e-5,
|
|
|
|
2.984_015_708_409_003_4e-6,
|
|
|
|
];
|
|
|
|
];
|
|
|
|
|
|
|
|
|
|
|
|
/// Polynomial coefficients for a numerator in `erf_impl`
|
|
|
|
/// Polynomial coefficients for a numerator in `erf_impl`
|
|
|
|
/// in the interval [38, 60].
|
|
|
|
/// in the interval [38, 60].
|
|
|
|
const ERF_IMPL_LN: &[f64] = &[
|
|
|
|
const ERF_IMPL_LN: &[f64] = &[
|
|
|
|
-0.583905797629771786720406e-4,
|
|
|
|
-5.839_057_976_297_718e-5,
|
|
|
|
0.412510325105496173512992e-5,
|
|
|
|
4.125_103_251_054_962e-6,
|
|
|
|
0.431790922420250949096906e-6,
|
|
|
|
4.317_909_224_202_509_4e-7,
|
|
|
|
0.993365155590013193345569e-8,
|
|
|
|
9.933_651_555_900_132e-9,
|
|
|
|
0.653480510020104699270084e-10,
|
|
|
|
6.534_805_100_201_047e-11,
|
|
|
|
];
|
|
|
|
];
|
|
|
|
|
|
|
|
|
|
|
|
/// Polynomial coefficients for a denominator in `erf_impl`
|
|
|
|
/// Polynomial coefficients for a denominator in `erf_impl`
|
|
|
|
/// in the interval [38, 60].
|
|
|
|
/// in the interval [38, 60].
|
|
|
|
const ERF_IMPL_LD: &[f64] = &[
|
|
|
|
const ERF_IMPL_LD: &[f64] = &[
|
|
|
|
1.0,
|
|
|
|
1.0,
|
|
|
|
0.105077086072039915406159,
|
|
|
|
0.105_077_086_072_039_92,
|
|
|
|
0.00414278428675475620830226,
|
|
|
|
0.004_142_784_286_754_756,
|
|
|
|
0.726338754644523769144108e-4,
|
|
|
|
7.263_387_546_445_238e-5,
|
|
|
|
0.477818471047398785369849e-6,
|
|
|
|
4.778_184_710_473_988e-7,
|
|
|
|
];
|
|
|
|
];
|
|
|
|
|
|
|
|
|
|
|
|
/// Polynomial coefficients for a numerator in `erf_impl`
|
|
|
|
/// Polynomial coefficients for a numerator in `erf_impl`
|
|
|
|
/// in the interval [60, 85].
|
|
|
|
/// in the interval [60, 85].
|
|
|
|
const ERF_IMPL_MN: &[f64] = &[
|
|
|
|
const ERF_IMPL_MN: &[f64] = &[
|
|
|
|
-0.196457797609229579459841e-4,
|
|
|
|
-1.964_577_976_092_295_8e-5,
|
|
|
|
0.157243887666800692441195e-5,
|
|
|
|
1.572_438_876_668_007e-6,
|
|
|
|
0.543902511192700878690335e-7,
|
|
|
|
5.439_025_111_927_009e-8,
|
|
|
|
0.317472492369117710852685e-9,
|
|
|
|
3.174_724_923_691_177e-10,
|
|
|
|
];
|
|
|
|
];
|
|
|
|
|
|
|
|
|
|
|
|
/// Polynomial coefficients for a denominator in `erf_impl`
|
|
|
|
/// Polynomial coefficients for a denominator in `erf_impl`
|
|
|
|
/// in the interval [60, 85].
|
|
|
|
/// in the interval [60, 85].
|
|
|
|
const ERF_IMPL_MD: &[f64] = &[
|
|
|
|
const ERF_IMPL_MD: &[f64] = &[
|
|
|
|
1.0,
|
|
|
|
1.0,
|
|
|
|
0.052803989240957632204885,
|
|
|
|
0.052_803_989_240_957_63,
|
|
|
|
0.000926876069151753290378112,
|
|
|
|
0.000_926_876_069_151_753_3,
|
|
|
|
0.541011723226630257077328e-5,
|
|
|
|
5.410_117_232_266_303e-6,
|
|
|
|
0.535093845803642394908747e-15,
|
|
|
|
5.350_938_458_036_424e-16,
|
|
|
|
];
|
|
|
|
];
|
|
|
|
|
|
|
|
|
|
|
|
/// Polynomial coefficients for a numerator in `erf_impl`
|
|
|
|
/// Polynomial coefficients for a numerator in `erf_impl`
|
|
|
|
/// in the interval [85, 110].
|
|
|
|
/// in the interval [85, 110].
|
|
|
|
const ERF_IMPL_NN: &[f64] = &[
|
|
|
|
const ERF_IMPL_NN: &[f64] = &[
|
|
|
|
-0.789224703978722689089794e-5,
|
|
|
|
-7.892_247_039_787_227e-6,
|
|
|
|
0.622088451660986955124162e-6,
|
|
|
|
6.220_884_516_609_87e-7,
|
|
|
|
0.145728445676882396797184e-7,
|
|
|
|
1.457_284_456_768_824e-8,
|
|
|
|
0.603715505542715364529243e-10,
|
|
|
|
6.037_155_055_427_153e-11,
|
|
|
|
];
|
|
|
|
];
|
|
|
|
|
|
|
|
|
|
|
|
/// Polynomial coefficients for a denominator in `erf_impl`
|
|
|
|
/// Polynomial coefficients for a denominator in `erf_impl`
|
|
|
|
/// in the interval [85, 110].
|
|
|
|
/// in the interval [85, 110].
|
|
|
|
const ERF_IMPL_ND: &[f64] = &[
|
|
|
|
const ERF_IMPL_ND: &[f64] = &[
|
|
|
|
1.0,
|
|
|
|
1.0,
|
|
|
|
0.0375328846356293715248719,
|
|
|
|
0.037_532_884_635_629_37,
|
|
|
|
0.000467919535974625308126054,
|
|
|
|
0.000_467_919_535_974_625_3,
|
|
|
|
0.193847039275845656900547e-5,
|
|
|
|
1.938_470_392_758_456_5e-6,
|
|
|
|
];
|
|
|
|
];
|
|
|
|
|
|
|
|
|
|
|
|
/// `erf_impl` computes the error function at `z`.
|
|
|
|
/// `erf_impl` computes the error function at `z`.
|
|
|
|
@@ -334,7 +334,7 @@ fn erf_impl(z: f64, inv: bool) -> f64 {
|
|
|
|
|
|
|
|
|
|
|
|
let result = if z < 0.5 {
|
|
|
|
let result = if z < 0.5 {
|
|
|
|
if z < 1e-10 {
|
|
|
|
if z < 1e-10 {
|
|
|
|
z * 1.125 + z * 0.003379167095512573896158903121545171688
|
|
|
|
z * 1.125 + z * 0.003_379_167_095_512_573_7
|
|
|
|
} else {
|
|
|
|
} else {
|
|
|
|
z * 1.125 + z * polynomial(z, ERF_IMPL_AN) / polynomial(z, ERF_IMPL_AD)
|
|
|
|
z * 1.125 + z * polynomial(z, ERF_IMPL_AN) / polynomial(z, ERF_IMPL_AD)
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|