github.com/jingcheng-WU/gonum@v0.9.1-0.20210323123734-f1a2a11a8f7b/integrate/quad/hermite_data.go

// Copyright ©2016 The Gonum Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.

package quad

// xCache computed from Chebfun.
var xCacheHermite = [][]float64{
	{0.0000000000000000e+00},
	{-7.0710678118654757e-01, 7.0710678118654757e-01},
	{-1.2247448713915887e+00, 0.0000000000000000e+00, 1.2247448713915887e+00},
	{-1.6506801238857842e+00, -5.2464762327529035e-01, 5.2464762327529035e-01, 1.6506801238857842e+00},
	{-2.0201828704560856e+00, -9.5857246461381873e-01, 0.0000000000000000e+00, 9.5857246461381873e-01, 2.0201828704560856e+00},
	{-2.3506049736744914e+00, -1.3358490740136970e+00, -4.3607741192761657e-01, 4.3607741192761657e-01, 1.3358490740136970e+00, 2.3506049736744914e+00},
	{-2.6519613568352316e+00, -1.6735516287674714e+00, -8.1628788285896481e-01, 0.0000000000000000e+00, 8.1628788285896481e-01, 1.6735516287674714e+00, 2.6519613568352316e+00},
	{-2.9306374202572436e+00, -1.9816567566958443e+00, -1.1571937124467804e+00, -3.8118699020732216e-01, 3.8118699020732216e-01, 1.1571937124467804e+00, 1.9816567566958443e+00, 2.9306374202572436e+00},
	{-3.1909932017815295e+00, -2.2665805845318427e+00, -1.4685532892166682e+00, -7.2355101875283767e-01, 0.0000000000000000e+00, 7.2355101875283767e-01, 1.4685532892166682e+00, 2.2665805845318427e+00, 3.1909932017815295e+00},
	{-3.4361591188377378e+00, -2.5327316742327901e+00, -1.7566836492998816e+00, -1.0366108297895138e+00, -3.4290132722370481e-01, 3.4290132722370481e-01, 1.0366108297895138e+00, 1.7566836492998816e+00, 2.5327316742327901e+00, 3.4361591188377378e+00},
	{-3.6684708465595812e+00, -2.7832900997816514e+00, -2.0259480158257550e+00, -1.3265570844949326e+00, -6.5680956688209979e-01, 0.0000000000000000e+00, 6.5680956688209979e-01, 1.3265570844949326e+00, 2.0259480158257550e+00, 2.7832900997816514e+00, 3.6684708465595812e+00},
	{-3.8897248978697814e+00, -3.0206370251208896e+00, -2.2795070805010593e+00, -1.5976826351526043e+00, -9.4778839124016367e-01, -3.1424037625435908e-01, 3.1424037625435908e-01, 9.4778839124016367e-01, 1.5976826351526043e+00, 2.2795070805010593e+00, 3.0206370251208896e+00, 3.8897248978697814e+00},
	{-4.1013375961786389e+00, -3.2466089783724090e+00, -2.5197356856782389e+00, -1.8531076516015121e+00, -1.2200550365907483e+00, -6.0576387917106034e-01, 0.0000000000000000e+00, 6.0576387917106034e-01, 1.2200550365907483e+00, 1.8531076516015121e+00, 2.5197356856782389e+00, 3.2466089783724090e+00, 4.1013375961786389e+00},
	{-4.3044485704736335e+00, -3.4626569336022701e+00, -2.7484707249854017e+00, -2.0951832585077166e+00, -1.4766827311411406e+00, -8.7871378732939931e-01, -2.9174551067256199e-01, 2.9174551067256199e-01, 8.7871378732939931e-01, 1.4766827311411406e+00, 2.0951832585077166e+00, 2.7484707249854017e+00, 3.4626569336022701e+00, 4.3044485704736335e+00},
	{-4.4999907073093910e+00, -3.6699503734044541e+00, -2.9671669279056028e+00, -2.3257324861738580e+00, -1.7199925751864888e+00, -1.1361155852109204e+00, -5.6506958325557588e-01, 0.0000000000000000e+00, 5.6506958325557588e-01, 1.1361155852109204e+00, 1.7199925751864888e+00, 2.3257324861738580e+00, 2.9671669279056028e+00, 3.6699503734044541e+00, 4.4999907073093910e+00},
	{-4.6887389393058223e+00, -3.8694479048601238e+00, -3.1769991619799529e+00, -2.5462021578474796e+00, -1.9517879909162528e+00, -1.3802585391988815e+00, -8.2295144914465546e-01, -2.7348104613815244e-01, 2.7348104613815244e-01, 8.2295144914465546e-01, 1.3802585391988815e+00, 1.9517879909162528e+00, 2.5462021578474796e+00, 3.1769991619799529e+00, 3.8694479048601238e+00, 4.6887389393058223e+00},
	{-4.8713451936744061e+00, -4.0619466758754772e+00, -3.3789320911414946e+00, -2.7577629157038897e+00, -2.1735028266666214e+00, -1.6129243142212311e+00, -1.0676487257434508e+00, -5.3163300134265479e-01, 0.0000000000000000e+00, 5.3163300134265479e-01, 1.0676487257434508e+00, 1.6129243142212311e+00, 2.1735028266666214e+00, 2.7577629157038897e+00, 3.3789320911414946e+00, 4.0619466758754772e+00, 4.8713451936744061e+00},
	{-5.0483640088744668e+00, -4.2481178735681260e+00, -3.5737690684862655e+00, -2.9613775055316052e+00, -2.3862990891666858e+00, -1.8355316042616294e+00, -1.3009208583896172e+00, -7.7668291926741173e-01, -2.5826775051909689e-01, 2.5826775051909689e-01, 7.7668291926741173e-01, 1.3009208583896172e+00, 1.8355316042616294e+00, 2.3862990891666858e+00, 2.9613775055316052e+00, 3.5737690684862655e+00, 4.2481178735681260e+00, 5.0483640088744668e+00},
	{-5.2202716905374844e+00, -4.4285328066037799e+00, -3.7621873519640201e+00, -3.1578488183476034e+00, -2.5911337897945423e+00, -2.0492317098506181e+00, -1.5241706193935327e+00, -1.0103683871343114e+00, -5.0352016342388828e-01, 0.0000000000000000e+00, 5.0352016342388828e-01, 1.0103683871343114e+00, 1.5241706193935327e+00, 2.0492317098506181e+00, 2.5911337897945423e+00, 3.1578488183476034e+00, 3.7621873519640201e+00, 4.4285328066037799e+00, 5.2202716905374844e+00},
	{-5.3874808900112319e+00, -4.6036824495507451e+00, -3.9447640401156265e+00, -3.3478545673832172e+00, -2.7888060584281313e+00, -2.2549740020892761e+00, -1.7385377121165857e+00, -1.2340762153953231e+00, -7.3747372854539406e-01, -2.4534070830090132e-01, 2.4534070830090132e-01, 7.3747372854539406e-01, 1.2340762153953231e+00, 1.7385377121165857e+00, 2.2549740020892761e+00, 2.7888060584281313e+00, 3.3478545673832172e+00, 3.9447640401156265e+00, 4.6036824495507451e+00, 5.3874808900112319e+00},
	{-5.5503518732646775e+00, -4.7739923434112193e+00, -4.1219955474918395e+00, -3.5319728771376777e+00, -2.9799912077045980e+00, -2.4535521245128376e+00, -1.9449629491862539e+00, -1.4489342506507319e+00, -9.6149963441836894e-01, -4.7945070707910747e-01, -0.0000000000000000e+00, 4.7945070707910747e-01, 9.6149963441836894e-01, 1.4489342506507319e+00, 1.9449629491862539e+00, 2.4535521245128376e+00, 2.9799912077045980e+00, 3.5319728771376777e+00, 4.1219955474918395e+00, 4.7739923434112193e+00, 5.5503518732646775e+00},
	{-5.7092013532052626e+00, -4.9398341310601763e+00, -4.2943124805931614e+00, -3.7107015328778048e+00, -3.1652659092021374e+00, -2.6456374410581724e+00, -2.1442335927985341e+00, -1.6558743732864223e+00, -1.1767139584812445e+00, -7.0368609717000696e-01, -2.3417913993099065e-01, 2.3417913993099065e-01, 7.0368609717000696e-01, 1.1767139584812445e+00, 1.6558743732864223e+00, 2.1442335927985341e+00, 2.6456374410581724e+00, 3.1652659092021374e+00, 3.7107015328778048e+00, 4.2943124805931614e+00, 4.9398341310601763e+00, 5.7092013532052626e+00},
	{-5.8643094989845714e+00, -5.1015346104766763e+00, -4.4620911737400064e+00, -3.8844727081061015e+00, -3.3451271599412244e+00, -2.8318037871261570e+00, -2.3370162114744559e+00, -1.8556770376713707e+00, -1.3840395856824952e+00, -9.1915146544256365e-01, -4.5853835006810478e-01, -0.0000000000000000e+00, 4.5853835006810478e-01, 9.1915146544256365e-01, 1.3840395856824952e+00, 1.8556770376713707e+00, 2.3370162114744559e+00, 2.8318037871261570e+00, 3.3451271599412244e+00, 3.8844727081061015e+00, 4.4620911737400064e+00, 5.1015346104766763e+00, 5.8643094989845714e+00},
	{-6.0159255614257390e+00, -5.2593829276680442e+00, -4.6256627564237878e+00, -4.0536644024481490e+00, -3.5200068130345241e+00, -3.0125461375655647e+00, -2.5238810170114268e+00, -2.0490035736616985e+00, -1.5842500109616942e+00, -1.1267608176112451e+00, -6.7417110703721217e-01, -2.2441454747251557e-01, 2.2441454747251557e-01, 6.7417110703721217e-01, 1.1267608176112451e+00, 1.5842500109616942e+00, 2.0490035736616985e+00, 2.5238810170114268e+00, 3.0125461375655647e+00, 3.5200068130345241e+00, 4.0536644024481490e+00, 4.6256627564237878e+00, 5.2593829276680442e+00, 6.0159255614257390e+00},
	{-6.1642724340524513e+00, -5.4136363552800333e+00, -4.7853203673522238e+00, -4.2186094443865612e+00, -3.6902828769983551e+00, -3.1882949244251044e+00, -2.7053202371730256e+00, -2.2364201302672808e+00, -1.7780011243371474e+00, -1.3272807020730839e+00, -8.8198275621382138e-01, -4.4014729864530827e-01, -0.0000000000000000e+00, 4.4014729864530827e-01, 8.8198275621382138e-01, 1.3272807020730839e+00, 1.7780011243371474e+00, 2.2364201302672808e+00, 2.7053202371730256e+00, 3.1882949244251044e+00, 3.6902828769983551e+00, 4.2186094443865612e+00, 4.7853203673522238e+00, 5.4136363552800333e+00, 6.1642724340524513e+00},
	{-6.3095503856256920e+00, -5.5645249819501030e+00, -4.9413249572413793e+00, -4.3796026629833040e+00, -3.8562884199091489e+00, -3.3594271823508297e+00, -2.8817622195430865e+00, -2.4184157647737790e+00, -1.9658547856411364e+00, -1.5213615166519212e+00, -1.0827330110778832e+00, -6.4809521399344827e-01, -2.1577785624346338e-01, 2.1577785624346338e-01, 6.4809521399344827e-01, 1.0827330110778832e+00, 1.5213615166519212e+00, 1.9658547856411364e+00, 2.4184157647737790e+00, 2.8817622195430865e+00, 3.3594271823508297e+00, 3.8562884199091489e+00, 4.3796026629833040e+00, 4.9413249572413793e+00, 5.5645249819501030e+00, 6.3095503856256920e+00},
	{-6.4519401407534707e+00, -5.7122555528165355e+00, -5.0939100031131836e+00, -4.5369066633724415e+00, -4.0183186704087381e+00, -3.5262753401343527e+00, -3.0535824198222552e+00, -2.5954163389108178e+00, -2.1482966453616275e+00, -1.7095607392603374e+00, -1.2770668173398578e+00, -8.4901134206010298e-01, -4.2380790054385303e-01, -0.0000000000000000e+00, 4.2380790054385303e-01, 8.4901134206010298e-01, 1.2770668173398578e+00, 1.7095607392603374e+00, 2.1482966453616275e+00, 2.5954163389108178e+00, 3.0535824198222552e+00, 3.5262753401343527e+00, 4.0183186704087381e+00, 4.5369066633724415e+00, 5.0939100031131836e+00, 5.7122555528165355e+00, 6.4519401407534707e+00},
	{-6.5916054423677419e+00, -5.8570146413828503e+00, -5.2432853732029354e+00, -4.6907565239431177e+00, -4.1766367421292676e+00, -3.6891342384616794e+00, -3.2211120765614556e+00, -2.7677953529135935e+00, -2.3257498426564407e+00, -1.8923604968376853e+00, -1.4655372634574091e+00, -1.0435352737542081e+00, -6.2483671950520925e-01, -2.0806738269073688e-01, 2.0806738269073688e-01, 6.2483671950520925e-01, 1.0435352737542081e+00, 1.4655372634574091e+00, 1.8923604968376853e+00, 2.3257498426564407e+00, 2.7677953529135935e+00, 3.2211120765614556e+00, 3.6891342384616794e+00, 4.1766367421292676e+00, 4.6907565239431177e+00, 5.2432853732029354e+00, 5.8570146413828503e+00, 6.5916054423677419e+00},
	{-6.7286951986088495e+00, -5.9989712894638192e+00, -5.3896405219667507e+00, -4.8413636510591642e+00, -4.3314782938191501e+00, -3.8482667922136202e+00, -3.3846451410922138e+00, -2.9358825042901264e+00, -2.4985856910194042e+00, -2.0701810760534278e+00, -1.6486229138923163e+00, -1.2322157550847530e+00, -8.1949868127091163e-01, -4.0916463639492873e-01, -0.0000000000000000e+00, 4.0916463639492873e-01, 8.1949868127091163e-01, 1.2322157550847530e+00, 1.6486229138923163e+00, 2.0701810760534278e+00, 2.4985856910194042e+00, 2.9358825042901264e+00, 3.3846451410922138e+00, 3.8482667922136202e+00, 4.3314782938191501e+00, 4.8413636510591642e+00, 5.3896405219667507e+00, 5.9989712894638192e+00, 6.7286951986088495e+00},
	{-6.8633452935298900e+00, -6.1382792201239331e+00, -5.5331471515674950e+00, -4.9889189685899442e+00, -4.4830553570925176e+00, -4.0039086038612286e+00, -3.5444438731553496e+00, -3.0999705295864417e+00, -2.6671321245356170e+00, -2.2433914677615041e+00, -1.8267411436036880e+00, -1.4155278001981884e+00, -1.0083382710467235e+00, -6.0392105862555223e-01, -2.0112857654887151e-01, 2.0112857654887151e-01, 6.0392105862555223e-01, 1.0083382710467235e+00, 1.4155278001981884e+00, 1.8267411436036880e+00, 2.2433914677615041e+00, 2.6671321245356170e+00, 3.0999705295864417e+00, 3.5444438731553496e+00, 4.0039086038612286e+00, 4.4830553570925176e+00, 4.9889189685899442e+00, 5.5331471515674950e+00, 6.1382792201239331e+00, 6.8633452935298900e+00},
	{-6.9956801237185395e+00, -6.2750787049428602e+00, -5.6739614446185875e+00, -5.1335955771123798e+00, -4.6315595063128594e+00, -4.1562717558181452e+00, -3.7007434032314697e+00, -3.2603207323135406e+00, -2.8316804533902054e+00, -2.4123177054804201e+00, -2.0002585489356388e+00, -1.5938858604721398e+00, -1.1918269983500462e+00, -7.9287697691530890e-01, -3.9594273647142297e-01, -0.0000000000000000e+00, 3.9594273647142297e-01, 7.9287697691530890e-01, 1.1918269983500462e+00, 1.5938858604721398e+00, 2.0002585489356388e+00, 2.4123177054804201e+00, 2.8316804533902054e+00, 3.2603207323135406e+00, 3.7007434032314697e+00, 4.1562717558181452e+00, 4.6315595063128594e+00, 5.1335955771123798e+00, 5.6739614446185875e+00, 6.2750787049428602e+00, 6.9956801237185395e+00},
	{-7.1258139098307272e+00, -6.4094981492696599e+00, -5.8122259495159128e+00, -5.2755509865158796e+00, -4.7771645035025960e+00, -4.3055479533511987e+00, -3.8537554854714444e+00, -3.4171674928185705e+00, -2.9924908250023741e+00, -2.5772495377323170e+00, -2.1694991836061122e+00, -1.7676541094632017e+00, -1.3703764109528718e+00, -9.7650046358968279e-01, -5.8497876543593241e-01, -1.9484074156939934e-01, 1.9484074156939934e-01, 5.8497876543593241e-01, 9.7650046358968279e-01, 1.3703764109528718e+00, 1.7676541094632017e+00, 2.1694991836061122e+00, 2.5772495377323170e+00, 2.9924908250023741e+00, 3.4171674928185705e+00, 3.8537554854714444e+00, 4.3055479533511987e+00, 4.7771645035025960e+00, 5.2755509865158796e+00, 5.8122259495159128e+00, 6.4094981492696599e+00, 7.1258139098307272e+00},
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}

// wCache computed from Chebfun.
var wCacheHermite = [][]float64{
	{1.7724538509055159e+00},
	{8.8622692545275794e-01, 8.8622692545275794e-01},
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