cfsem 13.1.0

Quasi-steady electromagnetics including filamentized approximations, Biot-Savart, and Grad-Shafranov.
Documentation
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# mpmath=1.3.0, dps=100
a_re,a_im,b_re,b_im,c_re,c_im,z_re,z_im,expected_re,expected_im,rtol,label
0.5,0.25,1.25,-0.5,2.0,0.75,0.1,0.2,1.0509220049050646553612806861072754262290340591982140778855947347796157425062318,0.068955456364755334566033316887706214207138306957600871268042232735954814914304379,2e-13,direct
-2.0,0.0,1.2,0.4,3.5,-0.2,2.0,0.5,0.14250768254131209440624423874138796435807241164393253361141930101659146986541673,-0.1929973079525080270244276242938194881417865229225925849720661141562562975742573,2e-13,polynomial
0.7,0.2,1.3,-0.1,2.4,0.3,-3.0,0.4,0.52896612874970450501316518116761876890855725724974446070296338946233705322327926,-0.0091005805790748396511769301397638051641618571587402970476535616628315955436338592,2e-12,pfaff
0.4,0.2,1.1,0.3,2.7,-0.2,4.0,2.0,0.57114639244136977039487188169017374402468916317568142623628825199492539655835878,0.27728473367458146275845130549395895909589484626276923954587376346175059655954809,3e-12,infinity
0.4,0.2,0.4,0.2,2.7,-0.2,4.0,2.0,0.80303215149342885035938991158352113195945607487103134290541562955041793635824429,0.16109751153992063974089492858924516780027513842266852645317952919403574261117684,8e-11,infinity-equal-m0
0.4,0.2,1.1,0.3,2.5,0.5,0.98,0.03,1.3040555290794469928916781678631748209447157201219914174836260484842610330030864,0.29759669389184639748068722444002491479522542041789824834072889033744244116134576,3e-12,one
0.4,0.2,0.9,-0.1,1.3,0.1,0.98,0.03,2.0211813513970894291446097180081758783051242394475819855609775570030662626235877,0.7890884263440798291178495809280001221697615939347065504679586855092850849060725,8e-11,one-balanced-m0
0.4,0.2,0.9,-0.1,3.3,0.100000001,0.97,0.02,1.1771526374790107314814426471553640700163718341332435790238436712737844183861888,0.074731605972286677140398904851747292382971409738413322344959337335637184288212665,8e-11,one-near-integer
0.4,0.2,0.9,-0.1,3.300000001,0.1,0.97,0.02,1.1771526373574450371258955582200874556769846395240118508188413229322924291747276,0.074731606017464640300282791932095231616332718600915812134227960930900760864158839,8e-11,one-near-integer
0.4,0.2,0.9,-0.1,3.299999999,0.1,0.97,0.02,1.1771526375241886677770349508472556602429688953229229428580039347549690004189877,0.074731606093852350886510166387651783090430085607621098210046101052895691286000249,8e-11,one-near-integer
0.4,0.2,0.9,-0.1,3.3,0.099999999,0.97,0.02,1.1771526374026230102942893927015874717322743037809074386405568142326989384481106,0.074731606139030330931868799459615331469994855952558034696153025105473120591622486,8e-11,one-near-integer
0.4,0.2,2.400000001,0.200000001,3.1,-0.3,5.0,1.0,0.28606215220276783100053448319888182832766779064759733746743384492964555953088835,0.2870645844673169053729605592847638386874989523789309701072137467391602188426313,8e-11,infinity-near-integer
0.4,0.2,2.400000001,0.2,3.1,-0.3,5.0,1.0,0.28606215210637735129952507526469135197376349222564699275048937075907729009543922,0.28706458456373466861797794392239884651403802442930316948475176124647852708542804,8e-11,infinity-near-integer
0.4,0.2,2.399999999,0.2,3.1,-0.3,5.0,1.0,0.28606215229921289406228096099159244843208703950076968871709892231272159038241531,0.28706458475651564426450399193398608334359107299815648055280250010390021176623087,8e-11,infinity-near-integer
0.4,0.2,2.4,0.199999999,3.1,-0.3,5.0,1.0,0.28606215210640464275893101346015868597051965203294592020764637679793712138308226,0.28706458475654291976050784539294715774441269918997624448039826013313642413588495,8e-11,infinity-near-integer
1.4,0.2,1.2,-0.3,1.1,0.4,0.6,0.2,4.009772502592252205190772759373880352384959753261987214522870279732168849316121,0.60710334319476934493896703466117122663804363951969560291458055588614076879416992,8e-11,euler
12.5,2.0,9.25,-1.5,17.0,0.5,0.4,0.2,-10.790148307965848817444415790924155025893247081893043819574451059866649013835927,22.040961318697734036535840855536559214046965853709552311927419823314041122145826,2e-10,moderate
0.7,0.2,1.2,-0.3,2.1,0.1,0.5,0.8660254037844386,0.94735539412071878930998051596180600424566070808031964704602016196997640623822576,0.470770670933339595282119509293296750858057853601463592736711037994176894020621,5e-12,taylor
0.7,0.2,1.2,-0.3,2.1,0.1,0.5,-0.8660254037844386,0.94443553063972950692923206808357633783682715528204684658277126211718251395748733,-0.44025720419080339207882218115932935043834659107391924040509856677058364735211908,5e-12,taylor
0.7,0.2,1.2,-0.3,2.1,0.1,0.495,0.8573651497465942,0.95072714180554300757277375763211028716197780373771279664346906118600323734003234,0.46718168860770713493465827977160160687679325537650307570914105082124462519015108,5e-12,taylor
0.7,0.2,1.2,-0.3,2.1,0.1,0.495,-0.8573651497465942,0.94737707397929214777052343002093275915356596276363133719448231737596553097121868,-0.43709086250305418536110254684257060614320160341617783498524304910190298009656854,5e-12,taylor
0.7,0.2,1.2,-0.3,2.1,0.1,0.505,0.874685657822283,0.94395666848703384435243425387537497923132448006124637254522471204451297580862889,0.47430335801718034884938507340831877043742151236619345424172358053382763203079079,5e-12,taylor
0.7,0.2,1.2,-0.3,2.1,0.1,0.505,-0.874685657822283,0.94147607205375161897270302152141397791840981174288249428833431800442037628953208,-0.44337546596439116519118947174952318961996923607619662477830528686492639184366551,5e-12,taylor
12.0,-3.4,10.0,-0.8,-1.6,4.6,0.59,-0.81,-0.016940742038142853771161286512004869167832316293606694655428546922034005755587541,-0.041396732070281265120153563365866517646350590788745833152206586906247807246211583,2e-08,taylor-large-parameter-regression
1.0,0.0,1.0,0.0,4.0,0.0,3.0,4.0,0.4923438400096354501167611672435443424531929971283547504015486399318285080909635,0.60513406166123967627028771297240769292953259802082496424023011849172190033034179,3e-12,scipy-1561
1.2,0.3,0.7,-0.1,2.8,0.2,2.0,0.0,0.96293041819066552538451760258188905240041471289178403910708613248459998937132174,1.3491213367180762528869290092877330046660667136377606106959059925204975445615717,5e-12,upper-cut
1.2,0.3,0.7,-0.1,2.8,0.2,2.0,-0.0,1.0730901960696174711428494488274671025704823832386993255055043066955419159342041,-1.4909004718780877674806972084977087991970442350541644735594287704538481714093445,5e-12,lower-cut
1.2,0.3,0.7,-0.1,2.8,0.2,1.3,0.0,1.7672425327283729565380221292123008736461547182459402217866376870482660862526959,1.047984138525224070751989794028849508480410844584535981352260350125211271133826,5e-11,pfaff-upper-cut
1.2,0.3,0.7,-0.1,2.8,0.2,1.3,-0.0,1.9568677494350155614530067065043291790434756123598276456142914973685672941178965,-1.0144734953540480341175598785308460892121537763699964461547744197782732774063804,5e-11,pfaff-lower-cut
0.5,0.25,1.25,-0.5,2.0,0.75,-3.0,-2.0,0.53847301877698610675077823444468940163891144544451935112334862345894814317793047,-0.079271176529689843918143744389564582287689445662453324751565765022536685863175633,2e-09,grid-generic-000
0.5,0.25,1.25,-0.5,2.0,0.75,-3.0,-0.81,0.56239329693339348732216241869980989192147304818291110196689026119416315223469536,-0.013327404337652756113746192747393864610600379064214755628842860605238988993726389,2e-09,grid-generic-001
0.5,0.25,1.25,-0.5,2.0,0.75,-3.0,-0.2,0.5658736582123395592322784570080864081948898157917500544983288082029078245795438,0.026113650593518999796075300106392474561022229962242313594263044393412475570135044,2e-09,grid-generic-002
0.5,0.25,1.25,-0.5,2.0,0.75,-3.0,0.2,0.56392698160547996564292936135787368730904439032831848086695400546278042983415353,0.052842246040415435724135640188918747739855818366761598499256857003141209733867186,2e-09,grid-generic-003
0.5,0.25,1.25,-0.5,2.0,0.75,-3.0,0.81,0.55416582768966255944934726142171254513848716362728570574129365797153591714065636,0.092969120199192882760419676198291464214829854211126261077311483740517490237663695,2e-09,grid-generic-004
0.5,0.25,1.25,-0.5,2.0,0.75,-3.0,2.0,0.51480949345493926147656933742708217278043853601496369414934539163364440807797772,0.16039078144611744741761512968591393279679367617807090537748224582097232073785365,2e-09,grid-generic-005
0.5,0.25,1.25,-0.5,2.0,0.75,-0.5,-2.0,0.671334158770113238947216428014031323356866168799747861827829141366877650171415,-0.21545775801892020774110194830424779287109165571713538482751377740596560048713525,2e-09,grid-generic-006
0.5,0.25,1.25,-0.5,2.0,0.75,-0.5,-0.81,0.7979439938188421856144758911745880599514326076945742044221676228911228053920514,-0.11672541654660591501496911249107731977804096434113198829022546086123068319552146,2e-09,grid-generic-007
0.5,0.25,1.25,-0.5,2.0,0.75,-0.5,-0.2,0.85360087991071392542701842863841232269252166164012779618148672088521930710307434,-0.013303933409337363669704258453014224411401765562623608092279356723444613079895806,2e-09,grid-generic-008
0.5,0.25,1.25,-0.5,2.0,0.75,-0.5,0.2,0.86666095508735699208961904293898984275680549314133287386368594335569972892115513,0.074738658330897807147288467519865387068117691000035679579881912221311586373562114,2e-09,grid-generic-009
0.5,0.25,1.25,-0.5,2.0,0.75,-0.5,0.81,0.83279506714487134127139281353504513655673517668021830591758097534859016325057746,0.21007616847490874396722271622013308614955127465489005437745963415877151858206673,2e-09,grid-generic-010
0.5,0.25,1.25,-0.5,2.0,0.75,-0.5,2.0,0.66439402596194413568139285957575907615149698699273285571825940918940804709191106,0.36158983441307875582025254870201138350926312074187445190917655490265262067235963,2e-09,grid-generic-011
0.5,0.25,1.25,-0.5,2.0,0.75,0.25,-2.0,0.69624591744940966779012430809893541461706091873224301734099827643099261775043341,-0.29789006147934398232329964851407087468261458601378553839726186722379076298505758,2e-09,grid-generic-012
0.5,0.25,1.25,-0.5,2.0,0.75,0.25,-0.81,0.89779299592006329631552787683280488050710620704152019840829162210145000952234364,-0.23908673955293880326972385554050502582946930509922198909932880278255002480827298,2e-09,grid-generic-013
0.5,0.25,1.25,-0.5,2.0,0.75,0.25,-0.2,1.0534099046423838591270028451734583682958350591386614610976500046033461592384739,-0.11144035987243722505751147475484358167102332855789863938197152273448148912617286,2e-09,grid-generic-014
0.5,0.25,1.25,-0.5,2.0,0.75,0.25,0.2,1.119743290238804614557335386599311836567768673566063392516833007174731575124244,0.063593294123067165867561180115297667133282186901196578974099521301931477556064534,2e-09,grid-generic-015
0.5,0.25,1.25,-0.5,2.0,0.75,0.25,0.81,1.0282560607926373221579928446954964424440106667241162790017059055147544698651764,0.33905000059385286681654252515793495581996256988018235368654776981739356406819933,2e-09,grid-generic-016
0.5,0.25,1.25,-0.5,2.0,0.75,0.25,2.0,0.69754891696556241499593265436778020847906368638167194684383583051288310389566819,0.49970216015222079866156021774087893236489606617886112565156443688109380490807957,2e-09,grid-generic-017
0.5,0.25,1.25,-0.5,2.0,0.75,0.59,-2.0,0.69817790343522322037215112872923233475888569217914472544551036325293176585456128,-0.34096047438200276051390187432587613990592023409874159250788875216807244082294418,2e-09,grid-generic-018
0.5,0.25,1.25,-0.5,2.0,0.75,0.59,-0.81,0.92679818819575994790951333913006759016351107551864753723921421651824384513688775,-0.32867032568066534717446770008225990676081609803220581289062752927181099668126597,2e-09,grid-generic-019
0.5,0.25,1.25,-0.5,2.0,0.75,0.59,-0.2,1.1768938109771924108753062481147900799839272094063337292606572239857660491772216,-0.23930769957680687164245242157890017874336114276737283122656557615964517358278243,2e-09,grid-generic-020
0.5,0.25,1.25,-0.5,2.0,0.75,0.59,0.2,1.3545249084778554265743311988034074543950092163945526244483741840134251550984252,0.03650272331622641660014805001565611875220323358604929721444007639314020967836744,2e-09,grid-generic-021
0.5,0.25,1.25,-0.5,2.0,0.75,0.59,0.81,1.1504498383451207526787259176708113947777822509241218904283096143932627317742129,0.46980967934271055471837189341698805277125654357137423588683675238149282359407441,2e-09,grid-generic-022
0.5,0.25,1.25,-0.5,2.0,0.75,0.59,2.0,0.69550202003845580449370572816954289104349665581478412884871905173245512293776617,0.58071338915761139606704926209147318884846527537741077907314478564985747200607308,2e-09,grid-generic-023
0.5,0.25,1.25,-0.5,2.0,0.75,0.9,-2.0,0.69332602103693834293987184360579424306687628749200166379319286828170743773451566,-0.38124620692142827173813507584756856890624396964716337100813118004114341337834252,2e-09,grid-generic-024
0.5,0.25,1.25,-0.5,2.0,0.75,0.9,-0.81,0.92653791618516824507789699443545595443283821132705092300470725395505882921242995,-0.42355517291478455243461718776944594952628041065958841277881813437455554054902997,2e-09,grid-generic-025
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