+++ /dev/null
-// Copyright ©2015 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 testlapack
-
-import (
- "math"
- "testing"
-
- "golang.org/x/exp/rand"
-
- "gonum.org/v1/gonum/floats"
-)
-
-type Dlasq2er interface {
- Dgetrfer
- Dlasq2(n int, z []float64) (info int)
-}
-
-func Dlasq2Test(t *testing.T, impl Dlasq2er) {
- dTol := 1e-6
- // Answers from calling the netlib Dlasq2 function directly.
- for c, test := range []struct {
- n int
- z []float64
- info int
- zOut []float64
- }{
- {
- z: []float64{0.9975595900926172E+00, 0.5668247076112733E+00, 0.9659153754961249E+00, 0.7479276854714322E+00, 0.3673908973747557E+00, 0.4806368987547315E+00, 0.7375426363398452E-01, 0.5355229277727247E-02, 0.3470812885180155E+00, 0.3422438160728350E+00, 0.2179517263384726E+00, 0.1331604100136593E+00, 0.9005245144218924E+00, 0.3867660104574036E+00, 0.4454822893878481E+00, 0.6619321808958428E+00, 0.1610830043055933E-01, 0.6508548361039168E+00, 0.6464088254838254E+00, 0.3229872909405558E+00, 0.8556924028853313E+00, 0.4012869193638139E+00, 0.2068743292187569E+00, 0.9685394642165999E+00, 0.5983995343181346E+00, 0.6729807327762632E+00, 0.4568823106729620E+00, 0.3300151235733747E+00, 0.1003829265021773E+00, 0.7554533047597268E+00, 0.6056932669802318E+00, 0.7190479134084530E+00, 0.8973346038865299E+00, 0.6582291204811077E+00, 0.1507168371301046E+00, 0.6123149049967000E+00, 0.9786602381321465E+00, 0.9991422694268032E+00, 0.2567979861831603E+00, 0.5508654031552206E+00, 0.6590475178936379E+00, 0.5540051353968156E+00, 0.9777600986094505E+00, 0.9019233044604550E+00, 0.6579246844202109E+00, 0.7288585083995637E+00, 0.4024552650632751E+00, 0.9286276631540373E+00, 0.1478351900438915E+00, 0.6745292990637881E+00, 0.7696143092758962E+00, 0.3393225521457851E+00, 0.1158188549489931E+00, 0.6143691843615144E+00, 0.8206171394658319E+00, 0.9470946559240657E+00, 0.7311286518535550E+00, 0.4976039064630389E+00, 0.3748017407872005E+00, 0.4215058560045335E+00, 0.5529030382557849E+00, 0.9979192791781042E+00, 0.9903947480415133E+00, 0.7463096553073095E+00, 0.9537590617479789E+00, 0.9327469033343772E-01, 0.7340236871158429E+00, 0.7517616159256260E+00, 0.9468485056759987E+00, 0.7061763632511533E+00, 0.8138096664824992E+00, 0.5585945195965548E+00, 0.6170557687507783E-01, 0.4803807801853603E+00, 0.5976897721963292E+00, 0.1375319188363359E+00, 0.5873952004066820E+00, 0.5199682629163997E+00, 0.8858783448129579E+00, 0.3038101719904888E+00, 0.6696573039722583E+00, 0.6649400915297697E+00, 0.5036768993979404E+00, 0.2615751204119269E+00},
- n: 21,
- zOut: []float64{0.2550031738262204E+01, 0.2480977513501848E+01, 0.2366602269912148E+01, 0.2169993432366266E+01, 0.1810817848712033E+01, 0.1681677309759878E+01, 0.1303743375476047E+01, 0.1202161769544433E+01, 0.1183377192742860E+01, 0.1094206688544886E+01, 0.9154376259418607E+00, 0.8241395430971566E+00, 0.7318275341991307E+00, 0.5186198053161721E+00, 0.4143051093784424E+00, 0.2112065329503869E+00, 0.1093987140067686E+00, 0.9751785856405315E-01, 0.2818174710670554E-01, 0.1697846193036144E-01, 0.2117542506861687E-04, 0.5241368559131172E-22, 0.4369342452764876E-18, 0.4084491703488284E-18, 0.1303743375476047E+01, 0.0000000000000000E+00, 0.2325140442247288E-18, 0.2353545363971710E-18, 0.1202161769544433E+01, 0.0000000000000000E+00, 0.2163565864913247E-18, 0.2222159192042978E-18, 0.1183377192742860E+01, 0.2033579915108999E-22, 0.2652482201353177E-18, 0.2438256017573345E-18, 0.1094206688544886E+01, 0.3167883469916549E-16, 0.9806070694382835E-18, 0.1224486171222500E-17, 0.9154376259418607E+00, 0.2764930279233778E-14, 0.2171122324673871E+02, 0.2171122324673871E+02, 0.1020000000000000E+03, 0.3081632653061225E+01, 0.2941176470588236E+01, 0.2548071704976161E-16, 0.7318275341991307E+00, 0.4959852501050381E-23, 0.8676862906242004E-16, 0.1414000300319855E-15, 0.5186198053161721E+00, 0.1503295986001297E-14, 0.3452895805257589E-14, 0.7981257539768321E-14, 0.4143051093784424E+00, 0.1303656847202082E-15, 0.9855809897129084E-12, 0.2614986238618434E-11, 0.2112065329503869E+00, 0.8411884198867843E-17, 0.2293573303077261E-09, 0.9833566024906726E-10, 0.1093987140067686E+00, 0.2696165428113804E-17, 0.5825676764620370E-08, 0.2638661645752538E-08, 0.9751785856405315E-01, 0.6617412588681544E-21, 0.2809066689524106E-07, 0.6165545233233256E-07, 0.2818174710670554E-01, 0.1396210563637443E-18, 0.2854399814229969E-05, 0.1344352644992036E-05, 0.1697846193036144E-01, 0.6162975822039155E-31, 0.3724766654883956E-05, 0.4695180568393632E-05, 0.2117542506861687E-04, 0.0000000000000000E+00, 0.9895328911616120E-03, 0.1620493249248586E-02},
- info: 0,
- },
- {
- z: []float64{0.7655950151081736E-01, 0.1012496627944287E+00, 0.5492657397218519E+00, 0.3755849474908193E+00, 0.1514950257902281E-01, 0.7929154460744389E+00, 0.6208775449015512E+00, 0.7736035774285512E+00, 0.9535807609862423E+00, 0.1142443721338974E+00, 0.3184626428755636E+00, 0.5968198462235605E+00, 0.4815290260558158E-01, 0.1142057780273510E+00, 0.2159649191761220E+00, 0.1005733924928321E+00, 0.7334180249993905E-01, 0.2468617397276878E+00, 0.4433842667962828E+00, 0.2083675732544600E+00, 0.5669983427348256E+00, 0.2431239969651688E-01, 0.4202905770712168E+00, 0.3978530241169832E+00, 0.9765854254920880E+00, 0.6926050329928320E+00, 0.4943367486777372E-02, 0.1299210324451839E+00, 0.4677725963527957E-01, 0.8397777412847708E+00, 0.6784888222113696E+00, 0.5819508167748705E+00, 0.7335259194567719E+00, 0.1160427446694747E+00, 0.8402996546275487E+00, 0.8349959735427709E+00, 0.7465363962886192E+00, 0.8432008930683078E+00, 0.5288390014350658E+00, 0.6654846664813405E+00, 0.7307365692392301E+00, 0.4106042636492306E+00, 0.3557215961646439E+00, 0.7353770423280176E+00, 0.4713176648251016E+00, 0.4626254343486430E+00, 0.7596917071958065E+00, 0.7024594192654096E+00, 0.2579658084846748E+00, 0.9377050325544740E+00, 0.4561035840049426E+00, 0.8084892970067921E+00, 0.9088480529888660E+00, 0.6948766633235142E+00, 0.2194885062923195E+00, 0.8549545559228027E+00, 0.7443966896835119E+00, 0.3011130612705175E+00, 0.6719685452983997E+00, 0.6187140363783860E+00, 0.9675736114028010E+00, 0.9902393027740470E+00, 0.3380065169449795E+00, 0.9207672475882130E+00, 0.3390733399571427E+00, 0.9309435300662920E+00, 0.5465285509796513E+00, 0.4655125893217942E+00, 0.1769140958718970E+00, 0.3779940975005719E+00, 0.1752206228227682E+00, 0.3568582675012224E+00, 0.6656764250906758E+00, 0.6185492680730227E+00, 0.4689472437795331E+00, 0.3162518610221317E+00, 0.2688799086902824E+00, 0.1999212438248075E+00, 0.4154279763213168E+00, 0.9793029133347251E+00, 0.5432115888768534E+00, 0.1295182752745038E+00, 0.8047416637896615E+00, 0.8458210244967665E+00},
- n: 21,
- zOut: []float64{0.2649710614371106E+01, 0.2321564474027070E+01, 0.2090779203479937E+01, 0.2001510674733695E+01, 0.1702794694134603E+01, 0.1077066053646038E+01, 0.1060140274732043E+01, 0.9894235909971354E+00, 0.9539342071687115E+00, 0.8046649468928653E+00, 0.7009142227469247E+00, 0.5502651835254770E+00, 0.4423863025187732E+00, 0.3697086796938907E+00, 0.1446051340026323E+00, 0.1110032523123295E+00, 0.7513603923341917E-01, 0.6860214953971246E-01, 0.2434478048112329E-01, 0.6989818532012803E-03, 0.7811996215926567E-04, 0.7156177943897596E-01, 0.2292199980814605E-03, 0.1899018778701386E-03, 0.1060140274732043E+01, 0.8660746506696473E-01, 0.1357005210961402E-39, 0.1331360138522907E-23, 0.9894235909971354E+00, 0.8804208964992894E-17, 0.8660746506696473E-01, 0.8679736700028205E-01, 0.9539342071687115E+00, 0.2761013168273541E-29, 0.1040577915698430E-22, 0.8107757314001177E-24, 0.8046649468928653E+00, 0.5098326619997980E-22, 0.1416795225784663E-10, 0.1216165317638265E-10, 0.7009142227469247E+00, 0.1183291357831518E-29, 0.1813933158005285E+02, 0.1813933158005285E+02, 0.1090000000000000E+03, 0.3231292517006803E+01, 0.5504587155963303E+01, 0.4068037876491279E-10, 0.4423863025187732E+00, 0.2477754901417239E-20, 0.1737857614720001E-07, 0.5295826057530262E-07, 0.3697086796938907E+00, 0.5143373102040997E-26, 0.1312431380925897E-05, 0.1614374370413396E-05, 0.1446051340026323E+00, 0.9928287808749566E-25, 0.3777515963415321E-05, 0.2773141909621761E-05, 0.1110032523123295E+00, 0.0000000000000000E+00, 0.2532463507333992E-05, 0.2934028940292093E-05, 0.7513603923341917E-01, 0.5394210206791908E-19, 0.6032617175984252E-07, 0.2575740214720034E-06, 0.6860214953971246E-01, 0.7542232825258426E-19, 0.3784397549471832E-09, 0.1131370986389306E-09, 0.2434478048112329E-01, 0.1013559914197709E-18, 0.1483665133446019E-05, 0.1887408451311279E-05, 0.6989818532012803E-03, 0.9466330862652142E-28, 0.2539111990097616E-03, 0.9240506410060376E-03, 0.7811996215926567E-04, 0.3786532345060857E-28, 0.1283811140869274E-03, 0.1684766835109566E-03},
- info: 0,
- },
- {
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- n: 21,
- zOut: []float64{0.2486733497028020E+01, 0.2359071020584524E+01, 0.2276435093308226E+01, 0.2061969496713965E+01, 0.1674052496256098E+01, 0.1634406821090099E+01, 0.1324515540477209E+01, 0.1213036064691536E+01, 0.1142092570196908E+01, 0.8479728747156923E+00, 0.7723287409164926E+00, 0.6845846156476076E+00, 0.4690003902541462E+00, 0.3969394481970619E+00, 0.3209839311891622E+00, 0.1762493640751034E+00, 0.1552318325824889E+00, 0.1299582823757977E+00, 0.4568511390642456E-01, 0.2058742849236605E-01, 0.6687292092604351E-04, 0.0000000000000000E+00, 0.9075510178548721E-16, 0.1809089799756099E-15, 0.1324515540477209E+01, 0.1972152263052530E-28, 0.7207148989396829E-15, 0.1135837106477965E-14, 0.1213036064691536E+01, 0.6865185493883853E-20, 0.3862483738583121E-14, 0.5795548067006594E-14, 0.1142092570196908E+01, 0.1237761291638161E-15, 0.1761387669893985E-13, 0.1204467761940304E-13, 0.8479728747156923E+00, 0.5980780785048348E-20, 0.5961915529495600E-12, 0.8546407799162654E-12, 0.7723287409164926E+00, 0.9983823616477125E-26, 0.2019190149561986E+02, 0.2019190149561985E+02, 0.1120000000000000E+03, 0.3267573696145125E+01, 0.7142857142857143E+01, 0.2981196239393922E-10, 0.4690003902541462E+00, 0.1411215361455214E-23, 0.1291839253366726E-09, 0.2114581039065388E-09, 0.3969394481970619E+00, 0.3215018396446338E-24, 0.8992249144513522E-09, 0.1460279739604385E-08, 0.3209839311891622E+00, 0.5301710738582062E-20, 0.5956459688113839E-08, 0.9509260151006140E-08, 0.1762493640751034E+00, 0.3305918938014538E-18, 0.2145126200057182E-06, 0.1391189925457742E-06, 0.1552318325824889E+00, 0.0000000000000000E+00, 0.8222867095540534E-06, 0.8520250895881005E-06, 0.1299582823757977E+00, 0.1946507846527860E-19, 0.4299487364203470E-05, 0.2670451838837521E-05, 0.4568511390642456E-01, 0.1783600337601646E-17, 0.1688330183620908E-03, 0.2840434656464124E-03, 0.2058742849236605E-01, 0.2127174768075152E-17, 0.5266290662212281E-04, 0.3082204001196310E-04, 0.6687292092604351E-04, 0.4725269249209171E-22, 0.3479992598793783E-02, 0.7157534417412210E-03},
- info: 0,
- },
- {
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- zOut: []float64{0.2669666350125788E+01, 0.2458073928301015E+01, 0.1960648799383531E+01, 0.1674511937828339E+01, 0.1629444569956276E+01, 0.1605168511500282E+01, 0.1169506153633164E+01, 0.8378899015114316E+00, 0.8214470290652885E+00, 0.7290022816300561E+00, 0.5956393798847858E+00, 0.5147057006185641E+00, 0.3415078453317431E+00, 0.3316800239182673E+00, 0.2245847640277715E+00, 0.1981086483360383E+00, 0.1729134064527326E+00, 0.1081292683666610E+00, 0.4856623040087921E-01, 0.2705373732739987E-02, 0.9745444154776346E-03, 0.7298616502634276E-19, 0.4601636530183765E-14, 0.3001385089664378E-13, 0.1169506153633164E+01, 0.5522026336547083E-28, 0.9439817212889541E-12, 0.1534086358433234E-11, 0.8378899015114316E+00, 0.7174347921301560E-11, 0.1095021852663145E-10, 0.1580074435702411E-10, 0.8214470290652885E+00, 0.3131705799125763E-20, 0.2247124942125492E-10, 0.3228253356903498E-10, 0.7290022816300561E+00, 0.6063934311659721E-18, 0.3794147471177530E-13, 0.3318524623173314E-12, 0.5956393798847858E+00, 0.3765687391680646E-13, 0.1809487464842083E+02, 0.1809487464842083E+02, 0.1050000000000000E+03, 0.3215419501133787E+01, 0.3809523809523809E+01, 0.2077325438490571E-07, 0.3415078453317431E+00, 0.1645262238367970E-20, 0.7912752069326401E-07, 0.6053132028546428E-07, 0.3316800239182673E+00, 0.4184118241292247E-26, 0.1343987419983520E-06, 0.1754397466154310E-06, 0.2245847640277715E+00, 0.3340387958036406E-22, 0.6150231447604006E-06, 0.4780001259056422E-06, 0.1981086483360383E+00, 0.1070733604161610E-20, 0.1003229473607176E-05, 0.1287291281183416E-05, 0.1729134064527326E+00, 0.1298955481663118E-20, 0.1611116216931278E-05, 0.3807035614938680E-06, 0.1081292683666610E+00, 0.4901279578837721E-23, 0.3565927169328702E-03, 0.2312261838015572E-03, 0.4856623040087921E-01, 0.3325573155747123E-13, 0.4389787505319806E-03, 0.9715248586459800E-03, 0.2705373732739987E-02, 0.1348432029845013E-20, 0.7371401467208961E-04, 0.2975668602269332E-04, 0.9745444154776346E-03, 0.4135903062570168E-24, 0.7273370201297700E-04, 0.3602244970122637E-04},
- info: 0,
- },
- {
- z: []float64{0.3441168249350421E+00, 0.7064572711980356E+00, 0.6589781374655990E+00, 0.8687841598825752E+00, 0.7811747459515918E+00, 0.7470750719206745E+00, 0.7591454338662803E+00, 0.7956934079357347E-01, 0.3416983743372617E+00, 0.3365394610260509E+00, 0.8635365040683821E+00, 0.4793906833418223E+00, 0.9394584418725971E+00, 0.7354375226759881E+00, 0.3959912256877245E+00, 0.4088558388864650E+00, 0.6899389113237457E+00, 0.6329180251180861E+00, 0.6760812245614891E+00, 0.1743991444245150E+00, 0.3881927716152306E+00, 0.2103848624556167E+00, 0.5309784956583943E+00, 0.5758384660199964E+00, 0.6542468116269122E+00, 0.2141275453071043E+00, 0.4917208240158387E+00, 0.6996271491850585E+00, 0.7074081025976766E+00, 0.1896811377589238E+00, 0.4872676647104760E+00, 0.8987347035581787E+00, 0.1651654313203957E+00, 0.7969431328829826E+00, 0.8979672856778195E+00, 0.2621352236509209E+00, 0.2994430908669790E+00, 0.8412000921937168E+00, 0.6910228781616401E-01, 0.9849719192333963E+00, 0.2835195798153757E+00, 0.6126955834278749E+00, 0.9957514180764350E+00, 0.4133859474205875E+00, 0.2126790023013077E+00, 0.9230696247878700E-01, 0.5165813646587417E+00, 0.9232126059423650E+00, 0.6160486127374017E+00, 0.5529065454633691E+00, 0.6862175458708878E+00, 0.2677675454795836E-01, 0.6729513992144193E+00, 0.8612993184178528E+00, 0.5455358966165057E+00, 0.2518716982253303E+00, 0.5312849864208884E+00, 0.7551228210749875E+00, 0.1095520838657484E+00, 0.8767983608629261E+00, 0.9578119141004069E+00, 0.6878921114137557E+00, 0.2890574974795965E+00, 0.9851780344062913E+00, 0.9392886821673129E+00, 0.4125982690623264E+00, 0.6817912182549608E+00, 0.7805388095263401E+00, 0.1567802887930034E+00, 0.1901362770322003E+00, 0.5155717108920093E+00, 0.5470641908290981E+00, 0.9496522047623522E+00, 0.4367251554723609E+00, 0.7016249991347693E+00, 0.6652534390290816E+00, 0.3892590437090979E+00, 0.1464591367640408E+00, 0.9179795596761495E+00, 0.1527313083317114E+00, 0.8661173016992874E+00, 0.8044520995141484E+00, 0.4399581275677011E+00, 0.6590078920726725E+00},
- n: 21,
- zOut: []float64{0.2654671686308588E+01, 0.2409077903364995E+01, 0.2090082174851482E+01, 0.1940605709090538E+01, 0.1909776782011245E+01, 0.1629990303184568E+01, 0.1566043989638403E+01, 0.1473218419964192E+01, 0.1321200673977518E+01, 0.1275771383585936E+01, 0.9826159405158056E+00, 0.8184731809209335E+00, 0.6715230178331039E+00, 0.5669018352800101E+00, 0.3641671875118937E+00, 0.2699135892930649E+00, 0.1446269090001342E+00, 0.8937359624216266E-01, 0.5860931848549461E-01, 0.3094108728329079E-01, 0.6182329613034853E-03, 0.9233403587623171E-22, 0.2552413399194827E-12, 0.1309204970235786E-12, 0.1566043989638403E+01, 0.2003762315848454E-18, 0.9222125989396634E-12, 0.1831545934750265E-11, 0.1473218419964192E+01, 0.1899959664962892E-11, 0.5682525570474145E-10, 0.1113952503246639E-09, 0.1321200673977518E+01, 0.5311918312726658E-16, 0.2115322762070563E-08, 0.1208354514490733E-08, 0.1275771383585936E+01, 0.1424261829852281E-16, 0.6059411460508015E-08, 0.1032477558436010E-07, 0.9826159405158056E+00, 0.5397353496908506E-22, 0.2226820292130466E+02, 0.2226820292130466E+02, 0.9500000000000000E+02, 0.2927437641723356E+01, 0.1052631578947368E+01, 0.2555943178691847E-06, 0.6715230178331039E+00, 0.1218922493912602E-18, 0.4789189736721279E-06, 0.5466231772857101E-06, 0.5669018352800101E+00, 0.1893266172530428E-27, 0.9952011217509916E-06, 0.1128113648538554E-05, 0.3641671875118937E+00, 0.1993230626440035E-24, 0.2427606592544749E-05, 0.2156829827516489E-05, 0.2699135892930649E+00, 0.2761013168273541E-29, 0.3900010091178873E-05, 0.3393761026267541E-05, 0.1446269090001342E+00, 0.2150416673893778E-15, 0.8242388755752233E-05, 0.1105863902029246E-04, 0.8937359624216266E-01, 0.2934562567422164E-27, 0.3455780897358792E-04, 0.2250328346305790E-04, 0.5860931848549461E-01, 0.8147325136863849E-21, 0.2346512312055719E-04, 0.8962661529405173E-05, 0.3094108728329079E-01, 0.2460979885389816E-17, 0.5238375287742530E-03, 0.1080192509223090E-02, 0.6182329613034853E-03, 0.8383483586160605E-23, 0.7400552677463828E-02, 0.1581674273722876E-01},
- info: 0,
- },
- {
- z: []float64{0.7940281584071446E+00, 0.8540600349699839E+00, 0.8158431165852809E-01, 0.5431841788581357E+00, 0.3696613346727944E+00, 0.2343742079469738E+00, 0.4891909888056500E-01, 0.6769876984160987E+00, 0.4777767465052760E+00, 0.1867381312399053E+00, 0.2018744873845245E+00, 0.5511201479607295E+00, 0.6938788283912793E+00, 0.8167542438070282E+00, 0.7904606414789531E+00, 0.9443564310071292E+00, 0.7287247677237652E-01, 0.8645122013586991E+00, 0.1884651475116826E+00, 0.3844755283611681E+00, 0.9959264361467982E+00, 0.6424370932833342E+00, 0.1972122925077952E+00, 0.2842024247377670E+00, 0.9819646913482807E+00, 0.9118347224008859E+00, 0.8184691845197246E+00, 0.7051587281589254E+00, 0.7604703230109544E+00, 0.6312964755149379E+00, 0.5240863862347888E+00, 0.3442050916384676E-01, 0.2415614308212055E+00, 0.2814868323669945E+00, 0.6529284673126197E+00, 0.3727305084153835E+00, 0.5033733868757848E+00, 0.2317122058804952E+00, 0.7555584130128312E+00, 0.5854566742645219E+00, 0.5481204696337160E+00, 0.8479425268049923E+00, 0.2310874615764000E+00, 0.1250993726775007E-01, 0.6243285982203539E-01, 0.8533587246073391E+00, 0.9203815588639257E+00, 0.9256849509751471E+00, 0.6691405057262187E+00, 0.8847091531299658E+00, 0.6783572983386376E+00, 0.4701257141291857E+00, 0.8976078424378102E+00, 0.8575018884445876E+00, 0.4119363561363949E+00, 0.2824477027676924E+00, 0.2787507690368071E+00, 0.7994878185780909E+00, 0.6141832897278305E+00, 0.6772728066124333E+00, 0.1568652581579784E+00, 0.8025492691231176E+00, 0.2609459151100056E+00, 0.4956700691019098E+00, 0.1008839464621498E+00, 0.6129709499983976E+00, 0.4551038858718992E-02, 0.8382785474023564E+00, 0.9327452694814308E+00, 0.9710431593941808E+00, 0.3785578217695214E+00, 0.9620839159000718E+00, 0.3183561960196257E-01, 0.9167635157854341E+00, 0.8989971039988554E+00, 0.2723769512210017E-01, 0.4176537489735596E+00, 0.9619881273217982E+00, 0.8761769579995293E+00, 0.6385245520487358E+00, 0.6821739872929905E+00, 0.3927943300877799E+00, 0.3299501391296433E-01, 0.6026481165267817E+00},
- n: 21,
- zOut: []float64{0.2841529467847260E+01, 0.2556740368064117E+01, 0.2029069210305357E+01, 0.1816492749229813E+01, 0.1807397947918166E+01, 0.1724050761249482E+01, 0.1394683696862690E+01, 0.1363282300837870E+01, 0.1235317529564993E+01, 0.1007821728138393E+01, 0.9728972767837659E+00, 0.8110838192609224E+00, 0.6190683239156912E+00, 0.3314348466978195E+00, 0.2969816495631171E+00, 0.2506421226611442E+00, 0.1551624233480766E+00, 0.1141049603637759E+00, 0.6806098279643324E-01, 0.4065442795375918E-01, 0.1509783792061944E-04, 0.2745446733802996E-19, 0.2334033424405603E-14, 0.7232047343832039E-15, 0.1394683696862690E+01, 0.7652022750203868E-17, 0.1502464319787860E-09, 0.5990324067027169E-10, 0.1363282300837870E+01, 0.5511008105786353E-19, 0.1215529748555577E-07, 0.3576186028975079E-08, 0.1235317529564993E+01, 0.6271335389136957E-17, 0.2589527811059762E-05, 0.3563684464760320E-05, 0.1007821728138393E+01, 0.6928731028484552E-15, 0.2286607739649456E-04, 0.2916328836696281E-04, 0.9728972767837659E+00, 0.4013724285764508E-25, 0.2143649169120057E+02, 0.2143649169120056E+02, 0.1080000000000000E+03, 0.3174603174603174E+01, 0.5555555555555555E+01, 0.5006788488237952E-04, 0.6190683239156912E+00, 0.1272779738919789E-24, 0.5392273695714327E-05, 0.6586751690782050E-05, 0.3314348466978195E+00, 0.9952016744778614E-24, 0.4588114650322476E-05, 0.4104030919118472E-05, 0.2969816495631171E+00, 0.1254277227268884E-20, 0.1579210272170037E-05, 0.2523508055026877E-05, 0.2506421226611442E+00, 0.1514835081255253E-22, 0.9117975197333799E-05, 0.1415311657319248E-04, 0.1551624233480766E+00, 0.3272195034856757E-26, 0.3128414626489953E-04, 0.4770966856082524E-04, 0.1141049603637759E+00, 0.7575261888623807E-20, 0.6277758538102519E-05, 0.4644422903178713E-05, 0.6806098279643324E-01, 0.3715389965619895E-21, 0.5956965112658162E-05, 0.4447744978930882E-05, 0.4065442795375918E-01, 0.1972152263052530E-30, 0.2965586553650948E-04, 0.1900611263569203E-04, 0.1509783792061944E-04, 0.1009741958682895E-26, 0.1608958133772104E-02, 0.9583670521235791E-03},
- info: 0,
- },
- } {
- z := make([]float64, len(test.z))
- copy(z, test.z)
-
- info := impl.Dlasq2(test.n, z)
- if !floats.EqualApprox(test.zOut, z, dTol) {
- diff := make([]float64, len(z))
- floats.SubTo(diff, z, test.zOut)
- for i := range diff {
- diff[i] = math.Abs(diff[i])
- }
- t.Errorf("Case %v, Z Mismatch", c)
- }
- if test.info != info {
- t.Errorf("Info mismatch. Want %v, got %v", test.info, info)
- }
- }
-
- rnd := rand.New(rand.NewSource(1))
- // Perform a bunch of random tests to check for access out of bounds or
- // infinite loops.
- // TODO(btracey): Implement direct tests.
- // bi := blas64.Implementation()
- for _, n := range []int{5, 8, 20, 25} {
- for k := 0; k < 10; k++ {
- z := make([]float64, 4*n)
- for i := range z {
- z[i] = rnd.Float64()
- }
- zCopy := make([]float64, len(z))
- copy(zCopy, z)
-
- // Compute the eigenvalues
- impl.Dlasq2(n, z)
-
- // Below is the code to test the eigenvalues. Eventually implement
- // real tests.
- // The code below is missing the transformation from L and U into
- // the symmetric tridiagonal matrix.
- // See discussion http://icl.cs.utk.edu/lapack-forum/viewtopic.php?f=5&t=4839
- // for format.
-
- /*
- ldl := n
- ldu := n
- u := make([]float64, n*n)
- for i := 0; i < n; i++ {
- u[i*ldu+i] = zCopy[2*i]
- if i != n-1 {
- u[i*ldu+i+1] = 1
- }
- }
- l := make([]float64, n*n)
- for i := 0; i < n; i++ {
- l[i*ldl+i] = 1
- if i != n-1 {
- l[(i+1)*ldl+i] = zCopy[2*i+1]
- }
- }
-
- ldTriDi := n
- triDi := make([]float64, n*n)
- bi.Dgemm(blas.NoTrans, blas.NoTrans, n, n, n, 1, l, ldl, u, ldu, 0, triDi, ldTriDi)
-
- tridi2 := make([]float64, n*n)
- bi.Dgemm(blas.Trans, blas.NoTrans, n, n, n, 1, triDi, n, triDi, n, 0, tridi2, n)
-
- // Eigenvalues have the property that det(A - lambda I ) = 0
- triDiCopy := make([]float64, len(triDi))
- copy(triDiCopy, triDi)
- for _, lambda := range z[1:n] {
- copy(triDi, triDiCopy)
- for i := 0; i < n; i++ {
- triDi[i*n+i] -= lambda
- }
-
- // Compute LU
- //ipiv := make([]int, n)
- //impl.Dgetrf(n, n, triDi, n, ipiv)
- ok := impl.Dpotrf(blas.Upper, n, triDi, n)
- fmt.Println(ok)
-
- var det float64
- for i := 0; i < n; i++ {
- det += math.Log(math.Abs(triDi[i*n+i]))
- }
- fmt.Println("det = ", math.Exp(det))
- }
- */
- }
- }
-}
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