"Fossies" - the Fresh Open Source Software Archive  

Source code changes of the file "mpmath/tests/test_functions2.py" between
mpmath-1.0.0.tar.gz and mpmath-1.1.0.tar.gz

About: mpmath is a Python library for arbitrary-precision floating-point arithmetic.

test_functions2.py  (mpmath-1.0.0):test_functions2.py  (mpmath-1.1.0)
import math import math
import pytest
from mpmath import * from mpmath import *
def test_bessel(): def test_bessel():
mp.dps = 15 mp.dps = 15
assert j0(1).ae(0.765197686557966551) assert j0(1).ae(0.765197686557966551)
assert j0(pi).ae(-0.304242177644093864) assert j0(pi).ae(-0.304242177644093864)
assert j0(1000).ae(0.0247866861524201746) assert j0(1000).ae(0.0247866861524201746)
assert j0(-25).ae(0.0962667832759581162) assert j0(-25).ae(0.0962667832759581162)
assert j1(1).ae(0.440050585744933516) assert j1(1).ae(0.440050585744933516)
assert j1(pi).ae(0.284615343179752757) assert j1(pi).ae(0.284615343179752757)
skipping to change at line 1383 skipping to change at line 1384
Bs = [n+1e-10 for n in range(-12,-5)] Bs = [n+1e-10 for n in range(-12,-5)]
assert hyper(As,Bs,10).ae(-381757055858.652671927) assert hyper(As,Bs,10).ae(-381757055858.652671927)
assert legenp(0.5, 100, 0.25).ae(-2.4124576567211311755e+144) assert legenp(0.5, 100, 0.25).ae(-2.4124576567211311755e+144)
assert (hyp1f1(1000,1,-100)*10**24).ae(5.2589445437370169113) assert (hyp1f1(1000,1,-100)*10**24).ae(5.2589445437370169113)
assert (hyp2f1(10, -900, 10.5, 0.99)*10**24).ae(1.9185370579660768203) assert (hyp2f1(10, -900, 10.5, 0.99)*10**24).ae(1.9185370579660768203)
assert (hyp2f1(1000,1.5,-3.5,-1.5)*10**385).ae(-2.7367529051334000764) assert (hyp2f1(1000,1.5,-3.5,-1.5)*10**385).ae(-2.7367529051334000764)
assert hyp2f1(-5, 10, 3, 0.5, zeroprec=500) == 0 assert hyp2f1(-5, 10, 3, 0.5, zeroprec=500) == 0
assert (hyp1f1(-10000, 1000, 100)*10**424).ae(-3.1046080515824859974) assert (hyp1f1(-10000, 1000, 100)*10**424).ae(-3.1046080515824859974)
assert (hyp2f1(1000,1.5,-3.5,-0.75,maxterms=100000)*10**231).ae(-4.053479081 3913998643) assert (hyp2f1(1000,1.5,-3.5,-0.75,maxterms=100000)*10**231).ae(-4.053479081 3913998643)
assert legenp(2, 3, 0.25) == 0 assert legenp(2, 3, 0.25) == 0
try: pytest.raises(ValueError, lambda: hypercomb(lambda a: [([],[],[],[],[a],[-a]
hypercomb(lambda a: [([],[],[],[],[a],[-a],0.5)], [3]) ,0.5)], [3]))
assert 0
except ValueError:
pass
assert hypercomb(lambda a: [([],[],[],[],[a],[-a],0.5)], [3], infprec=200) = = inf assert hypercomb(lambda a: [([],[],[],[],[a],[-a],0.5)], [3], infprec=200) = = inf
assert meijerg([[],[]],[[0,0,0,0],[]],0.1).ae(1.5680822343832351418) assert meijerg([[],[]],[[0,0,0,0],[]],0.1).ae(1.5680822343832351418)
assert (besselk(400,400)*10**94).ae(1.4387057277018550583) assert (besselk(400,400)*10**94).ae(1.4387057277018550583)
mp.dps = 5 mp.dps = 5
(hyp1f1(-5000.5, 1500, 100)*10**185).ae(8.5185229673381935522) (hyp1f1(-5000.5, 1500, 100)*10**185).ae(8.5185229673381935522)
(hyp1f1(-5000, 1500, 100)*10**185).ae(9.1501213424563944311) (hyp1f1(-5000, 1500, 100)*10**185).ae(9.1501213424563944311)
mp.dps = 15 mp.dps = 15
(hyp1f1(-5000.5, 1500, 100)*10**185).ae(8.5185229673381935522) (hyp1f1(-5000.5, 1500, 100)*10**185).ae(8.5185229673381935522)
(hyp1f1(-5000, 1500, 100)*10**185).ae(9.1501213424563944311) (hyp1f1(-5000, 1500, 100)*10**185).ae(9.1501213424563944311)
assert hyp0f1(fadd(-20,'1e-100',exact=True), 0.25).ae(1.85014429040102783e+4 9) assert hyp0f1(fadd(-20,'1e-100',exact=True), 0.25).ae(1.85014429040102783e+4 9)
skipping to change at line 1456 skipping to change at line 1453
def test_qfunctions(): def test_qfunctions():
mp.dps = 15 mp.dps = 15
assert qp(2,3,100).ae('2.7291482267247332183e2391') assert qp(2,3,100).ae('2.7291482267247332183e2391')
def test_issue_239(): def test_issue_239():
mp.prec = 150 mp.prec = 150
x = ldexp(2476979795053773,-52) x = ldexp(2476979795053773,-52)
assert betainc(206, 385, 0, 0.55, 1).ae('0.999999999999999999999965709106448 57895771110649954') assert betainc(206, 385, 0, 0.55, 1).ae('0.999999999999999999999965709106448 57895771110649954')
mp.dps = 15 mp.dps = 15
try: pytest.raises(ValueError, lambda: hyp2f1(-5,5,0.5,0.5))
u = hyp2f1(-5,5,0.5,0.5)
raise AssertionError("hyp2f1(-5,5,0.5,0.5) (failed zero detection)") # Extra stress testing for Bessel functions
except (mp.NoConvergence, ValueError): # Reference zeros generated with the aid of scipy.special
pass # jn_zero, jnp_zero, yn_zero, ynp_zero
V = 15
M = 15
jn_small_zeros = \
[[2.4048255576957728,
5.5200781102863106,
8.6537279129110122,
11.791534439014282,
14.930917708487786,
18.071063967910923,
21.211636629879259,
24.352471530749303,
27.493479132040255,
30.634606468431975,
33.775820213573569,
36.917098353664044,
40.058425764628239,
43.19979171317673,
46.341188371661814],
[3.8317059702075123,
7.0155866698156188,
10.173468135062722,
13.323691936314223,
16.470630050877633,
19.615858510468242,
22.760084380592772,
25.903672087618383,
29.046828534916855,
32.189679910974404,
35.332307550083865,
38.474766234771615,
41.617094212814451,
44.759318997652822,
47.901460887185447],
[5.1356223018406826,
8.4172441403998649,
11.619841172149059,
14.795951782351261,
17.959819494987826,
21.116997053021846,
24.270112313573103,
27.420573549984557,
30.569204495516397,
33.7165195092227,
36.86285651128381,
40.008446733478192,
43.153453778371463,
46.297996677236919,
49.442164110416873],
[6.3801618959239835,
9.7610231299816697,
13.015200721698434,
16.223466160318768,
19.409415226435012,
22.582729593104442,
25.748166699294978,
28.908350780921758,
32.064852407097709,
35.218670738610115,
38.370472434756944,
41.520719670406776,
44.669743116617253,
47.817785691533302,
50.965029906205183],
[7.5883424345038044,
11.064709488501185,
14.37253667161759,
17.615966049804833,
20.826932956962388,
24.01901952477111,
27.199087765981251,
30.371007667117247,
33.537137711819223,
36.699001128744649,
39.857627302180889,
43.01373772335443,
46.167853512924375,
49.320360686390272,
52.471551398458023],
[8.771483815959954,
12.338604197466944,
15.700174079711671,
18.980133875179921,
22.217799896561268,
25.430341154222704,
28.626618307291138,
31.811716724047763,
34.988781294559295,
38.159868561967132,
41.326383254047406,
44.489319123219673,
47.649399806697054,
50.80716520300633,
53.963026558378149],
[9.9361095242176849,
13.589290170541217,
17.003819667816014,
20.320789213566506,
23.58608443558139,
26.820151983411405,
30.033722386570469,
33.233041762847123,
36.422019668258457,
39.603239416075404,
42.778481613199507,
45.949015998042603,
49.11577372476426,
52.279453903601052,
55.440592068853149],
[11.086370019245084,
14.821268727013171,
18.287582832481726,
21.641541019848401,
24.934927887673022,
28.191188459483199,
31.42279419226558,
34.637089352069324,
37.838717382853611,
41.030773691585537,
44.21540850526126,
47.394165755570512,
50.568184679795566,
53.738325371963291,
56.905249991978781],
[12.225092264004655,
16.037774190887709,
19.554536430997055,
22.94517313187462,
26.266814641176644,
29.54565967099855,
32.795800037341462,
36.025615063869571,
39.240447995178135,
42.443887743273558,
45.638444182199141,
48.825930381553857,
52.007691456686903,
55.184747939289049,
58.357889025269694],
[13.354300477435331,
17.241220382489128,
20.807047789264107,
24.233885257750552,
27.583748963573006,
30.885378967696675,
34.154377923855096,
37.400099977156589,
40.628553718964528,
43.843801420337347,
47.048700737654032,
50.245326955305383,
53.435227157042058,
56.619580266508436,
59.799301630960228],
[14.475500686554541,
18.433463666966583,
22.046985364697802,
25.509450554182826,
28.887375063530457,
32.211856199712731,
35.499909205373851,
38.761807017881651,
42.004190236671805,
45.231574103535045,
48.447151387269394,
51.653251668165858,
54.851619075963349,
58.043587928232478,
61.230197977292681],
[15.589847884455485,
19.61596690396692,
23.275853726263409,
26.773322545509539,
30.17906117878486,
33.526364075588624,
36.833571341894905,
40.111823270954241,
43.368360947521711,
46.608132676274944,
49.834653510396724,
53.050498959135054,
56.257604715114484,
59.457456908388002,
62.651217388202912],
[16.698249933848246,
20.789906360078443,
24.494885043881354,
28.026709949973129,
31.45996003531804,
34.829986990290238,
38.156377504681354,
41.451092307939681,
44.721943543191147,
47.974293531269048,
51.211967004101068,
54.437776928325074,
57.653844811906946,
60.8618046824805,
64.062937824850136],
[17.801435153282442,
21.95624406783631,
25.705103053924724,
29.270630441874802,
32.731053310978403,
36.123657666448762,
39.469206825243883,
42.780439265447158,
46.06571091157561,
49.330780096443524,
52.579769064383396,
55.815719876305778,
59.040934037249271,
62.257189393731728,
65.465883797232125],
[18.899997953174024,
23.115778347252756,
26.907368976182104,
30.505950163896036,
33.993184984781542,
37.408185128639695,
40.772827853501868,
44.100590565798301,
47.400347780543231,
50.678236946479898,
53.93866620912693,
57.184898598119301,
60.419409852130297,
63.644117508962281,
66.860533012260103]]
jnp_small_zeros = \
[[0.0,
3.8317059702075123,
7.0155866698156188,
10.173468135062722,
13.323691936314223,
16.470630050877633,
19.615858510468242,
22.760084380592772,
25.903672087618383,
29.046828534916855,
32.189679910974404,
35.332307550083865,
38.474766234771615,
41.617094212814451,
44.759318997652822],
[1.8411837813406593,
5.3314427735250326,
8.5363163663462858,
11.706004902592064,
14.863588633909033,
18.015527862681804,
21.16436985918879,
24.311326857210776,
27.457050571059246,
30.601922972669094,
33.746182898667383,
36.889987409236811,
40.033444053350675,
43.176628965448822,
46.319597561173912],
[3.0542369282271403,
6.7061331941584591,
9.9694678230875958,
13.170370856016123,
16.347522318321783,
19.512912782488205,
22.671581772477426,
25.826037141785263,
28.977672772993679,
32.127327020443474,
35.275535050674691,
38.422654817555906,
41.568934936074314,
44.714553532819734,
47.859641607992093],
[4.2011889412105285,
8.0152365983759522,
11.345924310743006,
14.585848286167028,
17.78874786606647,
20.9724769365377,
24.144897432909265,
27.310057930204349,
30.470268806290424,
33.626949182796679,
36.781020675464386,
39.933108623659488,
43.083652662375079,
46.232971081836478,
49.381300092370349],
[5.3175531260839944,
9.2823962852416123,
12.681908442638891,
15.964107037731551,
19.196028800048905,
22.401032267689004,
25.589759681386733,
28.767836217666503,
31.938539340972783,
35.103916677346764,
38.265316987088158,
41.423666498500732,
44.579623137359257,
47.733667523865744,
50.886159153182682],
[6.4156163757002403,
10.519860873772308,
13.9871886301403,
17.312842487884625,
20.575514521386888,
23.803581476593863,
27.01030789777772,
30.20284907898166,
33.385443901010121,
36.560777686880356,
39.730640230067416,
42.896273163494417,
46.058566273567043,
49.218174614666636,
52.375591529563596],
[7.501266144684147,
11.734935953042708,
15.268181461097873,
18.637443009666202,
21.931715017802236,
25.183925599499626,
28.409776362510085,
31.617875716105035,
34.81339298429743,
37.999640897715301,
41.178849474321413,
44.352579199070217,
47.521956905768113,
50.687817781723741,
53.85079463676896],
[8.5778364897140741,
12.932386237089576,
16.529365884366944,
19.941853366527342,
23.268052926457571,
26.545032061823576,
29.790748583196614,
33.015178641375142,
36.224380548787162,
39.422274578939259,
42.611522172286684,
45.793999658055002,
48.971070951900596,
52.143752969301988,
55.312820330403446],
[9.6474216519972168,
14.115518907894618,
17.774012366915256,
21.229062622853124,
24.587197486317681,
27.889269427955092,
31.155326556188325,
34.39662855427218,
37.620078044197086,
40.830178681822041,
44.030010337966153,
47.221758471887113,
50.407020967034367,
53.586995435398319,
56.762598475105272],
[10.711433970699945,
15.28673766733295,
19.004593537946053,
22.501398726777283,
25.891277276839136,
29.218563499936081,
32.505247352375523,
35.763792928808799,
39.001902811514218,
42.224638430753279,
45.435483097475542,
48.636922645305525,
51.830783925834728,
55.01844255063594,
58.200955824859509],
[11.770876674955582,
16.447852748486498,
20.223031412681701,
23.760715860327448,
27.182021527190532,
30.534504754007074,
33.841965775135715,
37.118000423665604,
40.371068905333891,
43.606764901379516,
46.828959446564562,
50.040428970943456,
53.243223214220535,
56.438892058982552,
59.628631306921512],
[12.826491228033465,
17.600266557468326,
21.430854238060294,
25.008518704644261,
28.460857279654847,
31.838424458616998,
35.166714427392629,
38.460388720328256,
41.728625562624312,
44.977526250903469,
48.211333836373288,
51.433105171422278,
54.645106240447105,
57.849056857839799,
61.046288512821078],
[13.878843069697276,
18.745090916814406,
22.629300302835503,
26.246047773946584,
29.72897816891134,
33.131449953571661,
36.480548302231658,
39.791940718940855,
43.075486800191012,
46.337772104541405,
49.583396417633095,
52.815686826850452,
56.037118687012179,
59.249577075517968,
62.454525995970462],
[14.928374492964716,
19.88322436109951,
23.81938909003628,
27.474339750968247,
30.987394331665278,
34.414545662167183,
37.784378506209499,
41.113512376883377,
44.412454519229281,
47.688252845993366,
50.945849245830813,
54.188831071035124,
57.419876154678179,
60.641030026538746,
63.853885828967512],
[15.975438807484321,
21.015404934568315,
25.001971500138194,
28.694271223110755,
32.236969407878118,
35.688544091185301,
39.078998185245057,
42.425854432866141,
45.740236776624833,
49.029635055514276,
52.299319390331728,
55.553127779547459,
58.793933759028134,
62.02393848337554,
65.244860767043859]]
yn_small_zeros = \
[[0.89357696627916752,
3.9576784193148579,
7.0860510603017727,
10.222345043496417,
13.361097473872763,
16.500922441528091,
19.64130970088794,
22.782028047291559,
25.922957653180923,
29.064030252728398,
32.205204116493281,
35.346452305214321,
38.487756653081537,
41.629104466213808,
44.770486607221993],
[2.197141326031017,
5.4296810407941351,
8.5960058683311689,
11.749154830839881,
14.897442128336725,
18.043402276727856,
21.188068934142213,
24.331942571356912,
27.475294980449224,
30.618286491641115,
33.761017796109326,
36.90355531614295,
40.045944640266876,
43.188218097393211,
46.330399250701687],
[3.3842417671495935,
6.7938075132682675,
10.023477979360038,
13.209986710206416,
16.378966558947457,
19.539039990286384,
22.69395593890929,
25.845613720902269,
28.995080395650151,
32.143002257627551,
35.289793869635804,
38.435733485446343,
41.581014867297885,
44.725777117640461,
47.870122696676504],
[4.5270246611496439,
8.0975537628604907,
11.396466739595867,
14.623077742393873,
17.81845523294552,
20.997284754187761,
24.166235758581828,
27.328799850405162,
30.486989604098659,
33.642049384702463,
36.794791029185579,
39.945767226378749,
43.095367507846703,
46.2438744334407,
49.391498015725107],
[5.6451478942208959,
9.3616206152445429,
12.730144474090465,
15.999627085382479,
19.22442895931681,
22.424810599698521,
25.610267054939328,
28.785893657666548,
31.954686680031668,
35.118529525584828,
38.278668089521758,
41.435960629910073,
44.591018225353424,
47.744288086361052,
50.896105199722123],
[6.7471838248710219,
10.597176726782031,
14.033804104911233,
17.347086393228382,
20.602899017175335,
23.826536030287532,
27.030134937138834,
30.220335654231385,
33.401105611047908,
36.574972486670962,
39.743627733020277,
42.908248189569535,
46.069679073215439,
49.228543693445843,
52.385312123112282],
[7.8377378223268716,
11.811037107609447,
15.313615118517857,
18.670704965906724,
21.958290897126571,
25.206207715021249,
28.429037095235496,
31.634879502950644,
34.828638524084437,
38.013473399691765,
41.19151880917741,
44.364272633271975,
47.53281875312084,
50.697961822183806,
53.860312300118388],
[8.919605734873789,
13.007711435388313,
16.573915129085334,
19.974342312352426,
23.293972585596648,
26.5667563757203,
29.809531451608321,
33.031769327150685,
36.239265816598239,
39.435790312675323,
42.623910919472727,
45.805442883111651,
48.981708325514764,
52.153694518185572,
55.322154420959698],
[9.9946283820824834,
14.190361295800141,
17.817887841179873,
21.26093227125945,
24.612576377421522,
27.910524883974868,
31.173701563441602,
34.412862242025045,
37.634648706110989,
40.843415321050884,
44.04214994542435,
47.232978012841169,
50.417456447370186,
53.596753874948731,
56.771765754432457],
[11.064090256031013,
15.361301343575925,
19.047949646361388,
22.532765416313869,
25.91620496332662,
29.2394205079349,
32.523270869465881,
35.779715464475261,
39.016196664616095,
42.237627509803703,
45.4474001519274,
48.647941127433196,
51.841036928216499,
55.028034667184916,
58.209970905250097],
[12.128927704415439,
16.522284394784426,
20.265984501212254,
23.791669719454272,
27.206568881574774,
30.555020011020762,
33.859683872746356,
37.133649760307504,
40.385117593813002,
43.619533085646856,
46.840676630553575,
50.051265851897857,
53.253310556711732,
56.448332488918971,
59.637507005589829],
[13.189846995683845,
17.674674253171487,
21.473493977824902,
25.03913093040942,
28.485081336558058,
31.858644293774859,
35.184165245422787,
38.475796636190897,
41.742455848758449,
44.990096293791186,
48.222870660068338,
51.443777308699826,
54.655042589416311,
57.858358441436511,
61.055036135780528],
[14.247395665073945,
18.819555894710682,
22.671697117872794,
26.276375544903892,
29.752925495549038,
33.151412708998983,
36.497763772987645,
39.807134090704376,
43.089121522203808,
46.350163579538652,
49.594769786270069,
52.82620892320143,
56.046916910756961,
59.258751140598783,
62.463155567737854],
[15.30200785858925,
19.957808654258601,
23.861599172945054,
27.504429642227545,
31.011103429019229,
34.434283425782942,
37.801385632318459,
41.128514139788358,
44.425913324440663,
47.700482714581842,
50.957073905278458,
54.199216028087261,
57.429547607017405,
60.65008661807661,
63.862406280068586],
[16.354034360047551,
21.090156519983806,
25.044040298785627,
28.724161640881914,
32.260472459522644,
35.708083982611664,
39.095820003878235,
42.440684315990936,
45.75353669045622,
49.041718113283529,
52.310408280968073,
55.56338698149062,
58.803488508906895,
62.032886550960831,
65.253280088312461]]
ynp_small_zeros = \
[[2.197141326031017,
5.4296810407941351,
8.5960058683311689,
11.749154830839881,
14.897442128336725,
18.043402276727856,
21.188068934142213,
24.331942571356912,
27.475294980449224,
30.618286491641115,
33.761017796109326,
36.90355531614295,
40.045944640266876,
43.188218097393211,
46.330399250701687],
[3.6830228565851777,
6.9414999536541757,
10.123404655436613,
13.285758156782854,
16.440058007293282,
19.590241756629495,
22.738034717396327,
25.884314618788867,
29.029575819372535,
32.174118233366201,
35.318134458192094,
38.461753870997549,
41.605066618873108,
44.74813744908079,
47.891014070791065],
[5.0025829314460639,
8.3507247014130795,
11.574195465217647,
14.760909306207676,
17.931285939466855,
21.092894504412739,
24.249231678519058,
27.402145837145258,
30.552708880564553,
33.70158627151572,
36.849213419846257,
39.995887376143356,
43.141817835750686,
46.287157097544201,
49.432018469138281],
[6.2536332084598136,
9.6987879841487711,
12.972409052292216,
16.19044719506921,
19.38238844973613,
22.559791857764261,
25.728213194724094,
28.890678419054777,
32.048984005266337,
35.204266606440635,
38.357281675961019,
41.508551443818436,
44.658448731963676,
47.807246956681162,
50.95515126455207],
[7.4649217367571329,
11.005169149809189,
14.3317235192331,
17.58443601710272,
20.801062338411128,
23.997004122902644,
27.179886689853435,
30.353960608554323,
33.521797098666792,
36.685048382072301,
39.844826969405863,
43.001910515625288,
46.15685955107263,
49.310088614282257,
52.461911043685864],
[8.6495562436971983,
12.280868725807848,
15.660799304540377,
18.949739756016503,
22.192841809428241,
25.409072788867674,
28.608039283077593,
31.795195353138159,
34.973890634255288,
38.14630522169358,
41.313923188794905,
44.477791768537617,
47.638672065035628,
50.797131066967842,
53.953600129601663],
[9.8147970120105779,
13.532811875789828,
16.965526446046053,
20.291285512443867,
23.56186260680065,
26.799499736027237,
30.015665481543419,
33.216968050039509,
36.407516858984748,
39.590015243560459,
42.766320595957378,
45.937754257017323,
49.105283450953203,
52.269633324547373,
55.431358715604255],
[10.965152105242974,
14.765687379508912,
18.250123150217555,
21.612750053384621,
24.911310600813573,
28.171051927637585,
31.40518108895689,
34.621401012564177,
37.824552065973114,
41.017847386464902,
44.203512240871601,
47.3831408366063,
50.557907466622796,
53.728697478957026,
56.896191727313342],
[12.103641941939539,
15.982840905145284,
19.517731005559611,
22.916962141504605,
26.243700855690533,
29.525960140695407,
32.778568197561124,
36.010261572392516,
39.226578757802172,
42.43122493258747,
45.626783824134354,
48.815117837929515,
51.997606404328863,
55.175294723956816,
58.348990221754937],
[13.232403808592215,
17.186756572616758,
20.770762917490496,
24.206152448722253,
27.561059462697153,
30.866053571250639,
34.137476603379774,
37.385039772270268,
40.614946085165892,
43.831373184731238,
47.037251786726299,
50.234705848765229,
53.425316228549359,
56.610286079882087,
59.790548623216652],
[14.35301374369987,
18.379337301642568,
22.011118775283494,
25.482116178696707,
28.865046588695164,
32.192853922166294,
35.483296655830277,
38.747005493021857,
41.990815194320955,
45.219355876831731,
48.435892856078888,
51.642803925173029,
54.84186659475857,
58.034439083840155,
61.221578745109862],
[15.466672066554263,
19.562077985759503,
23.240325531101082,
26.746322986645901,
30.157042415639891,
33.507642948240263,
36.817212798512775,
40.097251300178642,
43.355193847719752,
46.596103410173672,
49.823567279972794,
53.040208868780832,
56.247996968470062,
59.448441365714251,
62.642721301357187],
[16.574317035530872,
20.73617763753932,
24.459631728238804,
27.999993668839644,
31.438208790267783,
34.811512070805535,
38.140243708611251,
41.436725143893739,
44.708963264433333,
47.962435051891027,
51.201037321915983,
54.427630745992975,
57.644369734615238,
60.852911791989989,
64.054555435720397],
[17.676697936439624,
21.9026148697762,
25.670073356263225,
29.244155124266438,
32.709534477396028,
36.105399554497548,
39.453272918267025,
42.766255701958017,
46.052899215578358,
49.319076602061401,
52.568982147952547,
55.805705507386287,
59.031580956740466,
62.248409689597653,
65.457606670836759],
[18.774423978290318,
23.06220035979272,
26.872520985976736,
30.479680663499762,
33.971869047372436,
37.390118854896324,
40.757072537673599,
44.086572292170345,
47.387688809191869,
50.66667461073936,
53.928009929563275,
57.175005343085052,
60.410169281219877,
63.635442539153021,
66.85235358587768]]
@pytest.mark.slow
def test_bessel_zeros_extra():
mp.dps = 15
for v in range(V):
for m in range(1,M+1):
print(v, m, "of", V, M)
# Twice to test cache (if used)
assert besseljzero(v,m).ae(jn_small_zeros[v][m-1])
assert besseljzero(v,m).ae(jn_small_zeros[v][m-1])
assert besseljzero(v,m,1).ae(jnp_small_zeros[v][m-1])
assert besseljzero(v,m,1).ae(jnp_small_zeros[v][m-1])
assert besselyzero(v,m).ae(yn_small_zeros[v][m-1])
assert besselyzero(v,m).ae(yn_small_zeros[v][m-1])
assert besselyzero(v,m,1).ae(ynp_small_zeros[v][m-1])
assert besselyzero(v,m,1).ae(ynp_small_zeros[v][m-1])
 End of changes. 3 change blocks. 
5 lines changed or deleted 3 lines changed or added

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