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Sourcecode: octave-specfun version File versions  Download package

test_sncndn.m

u = 
m = 
SN = ;

CN = ;

DN = ;

[sn,cn,dn] = ellipj(u,m);
sn
SN
cn
CN
dn
DN
abs([SN-sn;CN-cn;DN-dn])

# Require ans = 0
#ans = any( abs([S-sn;C-cn;D-dn]) > 8*eps )

#ur = -1 + 0.2 * (0:10)
#ui = 0.2*(0:10)
k = (tan(pi/8.))^2
m = k*k

SN = [ 
-1. + I * 0. ,  -0.8392965923 + 0. * I
-1. + I * 0.2 ,  -0.8559363407 + 0.108250955 * I
-1. + I * 0.4 ,  -0.906529758 + 0.2204040232 * I
-1. + I * 0.6 ,  -0.9931306727 + 0.3403783409 * I
-1. + I * 0.8 ,  -1.119268095 + 0.4720784944 * I
-1. + I * 1. ,  -1.29010951 + 0.6192468708 * I
-1. + I * 1.2 ,  -1.512691987 + 0.7850890595 * I
-1. + I * 1.4 ,  -1.796200374 + 0.9714821804 * I
-1. + I * 1.6 ,  -2.152201882 + 1.177446413 * I
-1. + I * 1.8 ,  -2.594547417 + 1.396378892 * I
-1. + I * 2. ,  -3.138145339 + 1.611394819 * I
-0.8 + I * 0. ,  -0.7158157937 + 0. * I
-0.8 + I * 0.2 ,  -0.7301746722 + 0.1394690862 * I
-0.8 + I * 0.4 ,  -0.7738940898 + 0.2841710966 * I
-0.8 + I * 0.6 ,  -0.8489542135 + 0.4394411376 * I
-0.8 + I * 0.8 ,  -0.9588386397 + 0.6107824358 * I
-0.8 + I * 1. ,  -1.108848724 + 0.8038415767 * I
-0.8 + I * 1.2 ,  -1.306629972 + 1.024193359 * I
-0.8 + I * 1.4 ,  -1.563010199 + 1.276740951 * I
-0.8 + I * 1.6 ,  -1.893274688 + 1.564345558 * I
-0.8 + I * 1.8 ,  -2.318944084 + 1.88491973 * I
-0.8 + I * 2. ,  -2.869716809 + 2.225506523 * I
-0.6 + I * 0. ,  -0.5638287208 + 0. * I
-0.6 + I * 0.2 ,  -0.5752723012 + 0.1654722474 * I
-0.6 + I * 0.4 ,  -0.610164314 + 0.3374004736 * I
-0.6 + I * 0.6 ,  -0.6702507087 + 0.5224614298 * I
-0.6 + I * 0.8 ,  -0.7586657365 + 0.7277663879 * I
-0.6 + I * 1. ,  -0.8803349115 + 0.9610513652 * I
-0.6 + I * 1.2 ,  -1.042696526 + 1.230800819 * I
-0.6 + I * 1.4 ,  -1.256964505 + 1.546195843 * I
-0.6 + I * 1.6 ,  -1.540333527 + 1.916612621 * I
-0.6 + I * 1.8 ,  -1.919816065 + 2.349972151 * I
-0.6 + I * 2. ,  -2.438761841 + 2.848129496 * I
-0.4 + I * 0. ,  -0.3891382858 + 0. * I
-0.4 + I * 0.2 ,  -0.3971152026 + 0.1850563793 * I
-0.4 + I * 0.4 ,  -0.4214662882 + 0.3775700801 * I
-0.4 + I * 0.6 ,  -0.4635087491 + 0.5853434119 * I
-0.4 + I * 0.8 ,  -0.5256432877 + 0.8168992398 * I
-0.4 + I * 1. ,  -0.611733177 + 1.081923504 * I
-0.4 + I * 1.2 ,  -0.7278102331 + 1.391822501 * I
-0.4 + I * 1.4 ,  -0.8833807998 + 1.760456461 * I
-0.4 + I * 1.6 ,  -1.093891878 + 2.205107766 * I
-0.4 + I * 1.8 ,  -1.385545188 + 2.747638761 * I
-0.4 + I * 2. ,  -1.805081271 + 3.41525351 * I
-0.2 + I * 0. ,  -0.1986311721 + 0. * I
-0.2 + I * 0.2 ,  -0.2027299916 + 0.1972398665 * I
-0.2 + I * 0.4 ,  -0.2152524522 + 0.402598347 * I
-0.2 + I * 0.6 ,  -0.2369100139 + 0.6246336356 * I
-0.2 + I * 0.8 ,  -0.2690115146 + 0.8728455227 * I
-0.2 + I * 1. ,  -0.3136938773 + 1.158323088 * I
-0.2 + I * 1.2 ,  -0.3743615191 + 1.494672508 * I
-0.2 + I * 1.4 ,  -0.4565255082 + 1.899466033 * I
-0.2 + I * 1.6 ,  -0.5694611346 + 2.39667232 * I
-0.2 + I * 1.8 ,  -0.7296612675 + 3.020990664 * I
-0.2 + I * 2. ,  -0.9685726188 + 3.826022536 * I
0. + I * 0. ,  0. + 0. * I
0. + I * 0.2 ,  0. + 0.201376364 * I
0. + I * 0.4 ,  0. + 0.4111029248 * I
0. + I * 0.6 ,  0. + 0.6380048435 * I
0. + I * 0.8 ,  0. + 0.8919321473 * I
0. + I * 1. ,  0. + 1.184486615 * I
0. + I * 1.2 ,  0. + 1.530096023 * I
0. + I * 1.4 ,  0. + 1.947754612 * I
0. + I * 1.6 ,  0. + 2.464074356 * I
0. + I * 1.8 ,  0. + 3.119049475 * I
0. + I * 2. ,  0. + 3.97786237 * I
0.2 + I * 0. ,  0.1986311721 + 0. * I
0.2 + I * 0.2 ,  0.2027299916 + 0.1972398665 * I
0.2 + I * 0.4 ,  0.2152524522 + 0.402598347 * I
0.2 + I * 0.6 ,  0.2369100139 + 0.6246336356 * I
0.2 + I * 0.8 ,  0.2690115146 + 0.8728455227 * I
0.2 + I * 1. ,  0.3136938773 + 1.158323088 * I
0.2 + I * 1.2 ,  0.3743615191 + 1.494672508 * I
0.2 + I * 1.4 ,  0.4565255082 + 1.899466033 * I
0.2 + I * 1.6 ,  0.5694611346 + 2.39667232 * I
0.2 + I * 1.8 ,  0.7296612675 + 3.020990664 * I
0.2 + I * 2. ,  0.9685726188 + 3.826022536 * I
0.4 + I * 0. ,  0.3891382858 + 0. * I
0.4 + I * 0.2 ,  0.3971152026 + 0.1850563793 * I
0.4 + I * 0.4 ,  0.4214662882 + 0.3775700801 * I
0.4 + I * 0.6 ,  0.4635087491 + 0.5853434119 * I
0.4 + I * 0.8 ,  0.5256432877 + 0.8168992398 * I
0.4 + I * 1. ,  0.611733177 + 1.081923504 * I
0.4 + I * 1.2 ,  0.7278102331 + 1.391822501 * I
0.4 + I * 1.4 ,  0.8833807998 + 1.760456461 * I
0.4 + I * 1.6 ,  1.093891878 + 2.205107766 * I
0.4 + I * 1.8 ,  1.385545188 + 2.747638761 * I
0.4 + I * 2. ,  1.805081271 + 3.41525351 * I
0.6 + I * 0. ,  0.5638287208 + 0. * I
0.6 + I * 0.2 ,  0.5752723012 + 0.1654722474 * I
0.6 + I * 0.4 ,  0.610164314 + 0.3374004736 * I
0.6 + I * 0.6 ,  0.6702507087 + 0.5224614298 * I
0.6 + I * 0.8 ,  0.7586657365 + 0.7277663879 * I
0.6 + I * 1. ,  0.8803349115 + 0.9610513652 * I
0.6 + I * 1.2 ,  1.042696526 + 1.230800819 * I
0.6 + I * 1.4 ,  1.256964505 + 1.546195843 * I
0.6 + I * 1.6 ,  1.540333527 + 1.916612621 * I
0.6 + I * 1.8 ,  1.919816065 + 2.349972151 * I
0.6 + I * 2. ,  2.438761841 + 2.848129496 * I
0.8 + I * 0. ,  0.7158157937 + 0. * I
0.8 + I * 0.2 ,  0.7301746722 + 0.1394690862 * I
0.8 + I * 0.4 ,  0.7738940898 + 0.2841710966 * I
0.8 + I * 0.6 ,  0.8489542135 + 0.4394411376 * I
0.8 + I * 0.8 ,  0.9588386397 + 0.6107824358 * I
0.8 + I * 1. ,  1.108848724 + 0.8038415767 * I
0.8 + I * 1.2 ,  1.306629972 + 1.024193359 * I
0.8 + I * 1.4 ,  1.563010199 + 1.276740951 * I
0.8 + I * 1.6 ,  1.893274688 + 1.564345558 * I
0.8 + I * 1.8 ,  2.318944084 + 1.88491973 * I
0.8 + I * 2. ,  2.869716809 + 2.225506523 * I
1. + I * 0. ,  0.8392965923 + 0. * I
1. + I * 0.2 ,  0.8559363407 + 0.108250955 * I
1. + I * 0.4 ,  0.906529758 + 0.2204040232 * I
1. + I * 0.6 ,  0.9931306727 + 0.3403783409 * I
1. + I * 0.8 ,  1.119268095 + 0.4720784944 * I
1. + I * 1. ,  1.29010951 + 0.6192468708 * I
1. + I * 1.2 ,  1.512691987 + 0.7850890595 * I
1. + I * 1.4 ,  1.796200374 + 0.9714821804 * I
1. + I * 1.6 ,  2.152201882 + 1.177446413 * I
1. + I * 1.8 ,  2.594547417 + 1.396378892 * I
1. + I * 2. ,  3.138145339 + 1.611394819 * I
];

CN = [
-1. + I * 0. , 0.5436738271 + 0. * I
-1. + I * 0.2 , 0.5541219664 + 0.1672121517 * I
-1. + I * 0.4 , 0.5857703552 + 0.3410940893 * I
-1. + I * 0.6 , 0.6395034233 + 0.5285979063 * I
-1. + I * 0.8 , 0.716688504 + 0.7372552987 * I
-1. + I * 1. , 0.8189576795 + 0.9755037374 * I
-1. + I * 1.2 , 0.9477661951 + 1.253049471 * I
-1. + I * 1.4 , 1.103540657 + 1.581252712 * I
-1. + I * 1.6 , 1.284098214 + 1.973449038 * I
-1. + I * 1.8 , 1.481835651 + 2.4449211 * I
-1. + I * 2. , 1.679032464 + 3.011729224 * I
-0.8 + I * 0. , 0.6982891589 + 0. * I
-0.8 + I * 0.2 , 0.71187169 + 0.1430549855 * I
-0.8 + I * 0.4 , 0.7530744458 + 0.2920273465 * I
-0.8 + I * 0.6 , 0.8232501212 + 0.4531616768 * I
-0.8 + I * 0.8 , 0.9245978896 + 0.6334016187 * I
-0.8 + I * 1. , 1.060030206 + 0.8408616109 * I
-0.8 + I * 1.2 , 1.232861756 + 1.085475913 * I
-0.8 + I * 1.4 , 1.446126965 + 1.379933558 * I
-0.8 + I * 1.6 , 1.701139468 + 1.741030588 * I
-0.8 + I * 1.8 , 1.994526268 + 2.191509596 * I
-0.8 + I * 2. , 2.312257188 + 2.762051518 * I
-0.6 + I * 0. , 0.8258917445 + 0. * I
-0.6 + I * 0.2 , 0.842151698 + 0.1130337928 * I
-0.6 + I * 0.4 , 0.8915487431 + 0.2309124769 * I
-0.6 + I * 0.6 , 0.975948103 + 0.3588102098 * I
-0.6 + I * 0.8 , 1.098499209 + 0.5026234141 * I
-0.6 + I * 1. , 1.263676101 + 0.6695125973 * I
-0.6 + I * 1.2 , 1.477275851 + 0.8687285705 * I
-0.6 + I * 1.4 , 1.746262523 + 1.112955966 * I
-0.6 + I * 1.6 , 2.078179075 + 1.420581466 * I
-0.6 + I * 1.8 , 2.479425208 + 1.819580713 * I
-0.6 + I * 2. , 2.950586798 + 2.354077344 * I
-0.4 + I * 0. , 0.9211793498 + 0. * I
-0.4 + I * 0.2 , 0.9395019377 + 0.07822091534 * I
-0.4 + I * 0.4 , 0.9952345231 + 0.1598950363 * I
-0.4 + I * 0.6 , 1.090715991 + 0.2487465067 * I
-0.4 + I * 0.8 , 1.229998843 + 0.34910407 * I
-0.4 + I * 1. , 1.419103868 + 0.4663848201 * I
-0.4 + I * 1.2 , 1.666426377 + 0.607877235 * I
-0.4 + I * 1.4 , 1.983347336 + 0.7841054404 * I
-0.4 + I * 1.6 , 2.385101684 + 1.01134031 * I
-0.4 + I * 1.8 , 2.89185416 + 1.316448705 * I
-0.4 + I * 2. , 3.529393374 + 1.74670531 * I
-0.2 + I * 0. , 0.9800743122 + 0. * I
-0.2 + I * 0.2 , 0.9997019476 + 0.03999835809 * I
-0.2 + I * 0.4 , 1.059453907 + 0.08179712295 * I
-0.2 + I * 0.6 , 1.16200643 + 0.1273503824 * I
-0.2 + I * 0.8 , 1.312066413 + 0.1789585449 * I
-0.2 + I * 1. , 1.516804331 + 0.2395555269 * I
-0.2 + I * 1.2 , 1.786613221 + 0.313189147 * I
-0.2 + I * 1.4 , 2.136422971 + 0.405890925 * I
-0.2 + I * 1.6 , 2.588021972 + 0.527357091 * I
-0.2 + I * 1.8 , 3.174302819 + 0.6944201617 * I
-0.2 + I * 2. , 3.947361147 + 0.9387994989 * I
0. + I * 0. , 1. + 0. * I
0. + I * 0.2 , 1.020074723 + 0. * I
0. + I * 0.4 , 1.08120563 + 0. * I
0. + I * 0.6 , 1.18619146 + 0. * I
0. + I * 0.8 , 1.339978715 + 0. * I
0. + I * 1. , 1.550164037 + 0. * I
0. + I * 1.2 , 1.827893279 + 0. * I
0. + I * 1.4 , 2.189462954 + 0. * I
0. + I * 1.6 , 2.659259752 + 0. * I
0. + I * 1.8 , 3.275434266 + 0. * I
0. + I * 2. , 4.101632484 + 0. * I
0.2 + I * 0. , 0.9800743122 + 0. * I
0.2 + I * 0.2 , 0.9997019476 - 0.03999835809 * I
0.2 + I * 0.4 , 1.059453907 - 0.08179712295 * I
0.2 + I * 0.6 , 1.16200643 - 0.1273503824 * I
0.2 + I * 0.8 , 1.312066413 - 0.1789585449 * I
0.2 + I * 1. , 1.516804331 - 0.2395555269 * I
0.2 + I * 1.2 , 1.786613221 - 0.313189147 * I
0.2 + I * 1.4 , 2.136422971 - 0.405890925 * I
0.2 + I * 1.6 , 2.588021972 - 0.527357091 * I
0.2 + I * 1.8 , 3.174302819 - 0.6944201617 * I
0.2 + I * 2. , 3.947361147 - 0.9387994989 * I
0.4 + I * 0. , 0.9211793498 + 0. * I
0.4 + I * 0.2 , 0.9395019377 - 0.07822091534 * I
0.4 + I * 0.4 , 0.9952345231 - 0.1598950363 * I
0.4 + I * 0.6 , 1.090715991 - 0.2487465067 * I
0.4 + I * 0.8 , 1.229998843 - 0.34910407 * I
0.4 + I * 1. , 1.419103868 - 0.4663848201 * I
0.4 + I * 1.2 , 1.666426377 - 0.607877235 * I
0.4 + I * 1.4 , 1.983347336 - 0.7841054404 * I
0.4 + I * 1.6 , 2.385101684 - 1.01134031 * I
0.4 + I * 1.8 , 2.89185416 - 1.316448705 * I
0.4 + I * 2. , 3.529393374 - 1.74670531 * I
0.6 + I * 0. , 0.8258917445 + 0. * I
0.6 + I * 0.2 , 0.842151698 - 0.1130337928 * I
0.6 + I * 0.4 , 0.8915487431 - 0.2309124769 * I
0.6 + I * 0.6 , 0.975948103 - 0.3588102098 * I
0.6 + I * 0.8 , 1.098499209 - 0.5026234141 * I
0.6 + I * 1. , 1.263676101 - 0.6695125973 * I
0.6 + I * 1.2 , 1.477275851 - 0.8687285705 * I
0.6 + I * 1.4 , 1.746262523 - 1.112955966 * I
0.6 + I * 1.6 , 2.078179075 - 1.420581466 * I
0.6 + I * 1.8 , 2.479425208 - 1.819580713 * I
0.6 + I * 2. , 2.950586798 - 2.354077344 * I
0.8 + I * 0. , 0.6982891589 + 0. * I
0.8 + I * 0.2 , 0.71187169 - 0.1430549855 * I
0.8 + I * 0.4 , 0.7530744458 - 0.2920273465 * I
0.8 + I * 0.6 , 0.8232501212 - 0.4531616768 * I
0.8 + I * 0.8 , 0.9245978896 - 0.6334016187 * I
0.8 + I * 1. , 1.060030206 - 0.8408616109 * I
0.8 + I * 1.2 , 1.232861756 - 1.085475913 * I
0.8 + I * 1.4 , 1.446126965 - 1.379933558 * I
0.8 + I * 1.6 , 1.701139468 - 1.741030588 * I
0.8 + I * 1.8 , 1.994526268 - 2.191509596 * I
0.8 + I * 2. , 2.312257188 - 2.762051518 * I
1. + I * 0. , 0.5436738271 + 0. * I
1. + I * 0.2 , 0.5541219664 - 0.1672121517 * I
1. + I * 0.4 , 0.5857703552 - 0.3410940893 * I
1. + I * 0.6 , 0.6395034233 - 0.5285979063 * I
1. + I * 0.8 , 0.716688504 - 0.7372552987 * I
1. + I * 1. , 0.8189576795 - 0.9755037374 * I
1. + I * 1.2 , 0.9477661951 - 1.253049471 * I
1. + I * 1.4 , 1.103540657 - 1.581252712 * I
1. + I * 1.6 , 1.284098214 - 1.973449038 * I
1. + I * 1.8 , 1.481835651 - 2.4449211 * I
1. + I * 2. , 1.679032464 - 3.011729224 * I
];

DN = [
-1. + I * 0. , 0.9895776106 + 0. * I
-1. + I * 0.2 , 0.9893361555 + 0.002756935338 * I
-1. + I * 0.4 , 0.9885716856 + 0.005949639805 * I
-1. + I * 0.6 , 0.9871564855 + 0.01008044183 * I
-1. + I * 0.8 , 0.9848512162 + 0.01579337596 * I
-1. + I * 1. , 0.9812582484 + 0.02396648455 * I
-1. + I * 1.2 , 0.9757399152 + 0.0358288294 * I
-1. + I * 1.4 , 0.9672786056 + 0.0531049859 * I
-1. + I * 1.6 , 0.954237868 + 0.0781744383 * I
-1. + I * 1.8 , 0.933957524 + 0.1141918269 * I
-1. + I * 2. , 0.9020917489 + 0.1650142936 * I
-0.8 + I * 0. , 0.992429635 + 0. * I
-0.8 + I * 0.2 , 0.9924147861 + 0.003020708044 * I
-0.8 + I * 0.4 , 0.99236555 + 0.00652359532 * I
-0.8 + I * 0.6 , 0.9922655715 + 0.0110676219 * I
-0.8 + I * 0.8 , 0.9920785856 + 0.01737733806 * I
-0.8 + I * 1. , 0.9917291795 + 0.02645738598 * I
-0.8 + I * 1.2 , 0.9910606387 + 0.03974949378 * I
-0.8 + I * 1.4 , 0.9897435004 + 0.05935252515 * I
-0.8 + I * 1.6 , 0.987077644 + 0.08832675281 * I
-0.8 + I * 1.8 , 0.9815667458 + 0.1310872821 * I
-0.8 + I * 2. , 0.970020127 + 0.1938136793 * I
-0.6 + I * 0. , 0.9953099088 + 0. * I
-0.6 + I * 0.2 , 0.995526009 + 0.002814772354 * I
-0.6 + I * 0.4 , 0.9962071136 + 0.006083312292 * I
-0.6 + I * 0.6 , 0.9974557125 + 0.01033463525 * I
-0.6 + I * 0.8 , 0.9994560563 + 0.01626207722 * I
-0.6 + I * 1. , 1.00249312 + 0.02484336286 * I
-0.6 + I * 1.2 , 1.006973922 + 0.0375167093 * I
-0.6 + I * 1.4 , 1.013436509 + 0.05645315628 * I
-0.6 + I * 1.6 , 1.022504295 + 0.08499262247 * I
-0.6 + I * 1.8 , 1.034670023 + 0.1283564595 * I
-0.6 + I * 2. , 1.049599899 + 0.194806122 * I
-0.4 + I * 0. , 0.9977686897 + 0. * I
-0.4 + I * 0.2 , 0.9981836165 + 0.002167241934 * I
-0.4 + I * 0.4 , 0.9994946045 + 0.004686808612 * I
-0.4 + I * 0.6 , 1.001910789 + 0.00797144174 * I
-0.4 + I * 0.8 , 1.005817375 + 0.01256717724 * I
-0.4 + I * 1. , 1.011836374 + 0.01925509038 * I
-0.4 + I * 1.2 , 1.020923572 + 0.02920828367 * I
-0.4 + I * 1.4 , 1.034513743 + 0.04425213602 * I
-0.4 + I * 1.6 , 1.054725746 + 0.06732276244 * I
-0.4 + I * 1.8 , 1.08462027 + 0.1033236812 * I
-0.4 + I * 2. , 1.128407402 + 0.1608240664 * I
-0.2 + I * 0. , 0.9994191176 + 0. * I
-0.2 + I * 0.2 , 0.9999683719 + 0.001177128019 * I
-0.2 + I * 0.4 , 1.001705496 + 0.00254669712 * I
-0.2 + I * 0.6 , 1.004913944 + 0.004334880912 * I
-0.2 + I * 0.8 , 1.010120575 + 0.006842775622 * I
-0.2 + I * 1. , 1.018189543 + 0.01050520136 * I
-0.2 + I * 1.2 , 1.030482479 + 0.01598431001 * I
-0.2 + I * 1.4 , 1.049126108 + 0.02433134655 * I
-0.2 + I * 1.6 , 1.077466003 + 0.0372877718 * I
-0.2 + I * 1.8 , 1.120863308 + 0.05789156398 * I
-0.2 + I * 2. , 1.188162088 + 0.09181238708 * I
0. + I * 0. , 1. + 0. * I
0. + I * 0.2 , 1.000596698 + 0. * I
0. + I * 0.4 , 1.002484444 + 0. * I
0. + I * 0.6 , 1.005973379 + 0. * I
0. + I * 0.8 , 1.011641536 + 0. * I
0. + I * 1. , 1.020441432 + 0. * I
0. + I * 1.2 , 1.033885057 + 0. * I
0. + I * 1.4 , 1.054361188 + 0. * I
0. + I * 1.6 , 1.085694733 + 0. * I
0. + I * 1.8 , 1.134186672 + 0. * I
0. + I * 2. , 1.210701071 + 0. * I
0.2 + I * 0. , 0.9994191176 + 0. * I
0.2 + I * 0.2 , 0.9999683719 - 0.001177128019 * I
0.2 + I * 0.4 , 1.001705496 - 0.00254669712 * I
0.2 + I * 0.6 , 1.004913944 - 0.004334880912 * I
0.2 + I * 0.8 , 1.010120575 - 0.006842775622 * I
0.2 + I * 1. , 1.018189543 - 0.01050520136 * I
0.2 + I * 1.2 , 1.030482479 - 0.01598431001 * I
0.2 + I * 1.4 , 1.049126108 - 0.02433134655 * I
0.2 + I * 1.6 , 1.077466003 - 0.0372877718 * I
0.2 + I * 1.8 , 1.120863308 - 0.05789156398 * I
0.2 + I * 2. , 1.188162088 - 0.09181238708 * I
0.4 + I * 0. , 0.9977686897 + 0. * I
0.4 + I * 0.2 , 0.9981836165 - 0.002167241934 * I
0.4 + I * 0.4 , 0.9994946045 - 0.004686808612 * I
0.4 + I * 0.6 , 1.001910789 - 0.00797144174 * I
0.4 + I * 0.8 , 1.005817375 - 0.01256717724 * I
0.4 + I * 1. , 1.011836374 - 0.01925509038 * I
0.4 + I * 1.2 , 1.020923572 - 0.02920828367 * I
0.4 + I * 1.4 , 1.034513743 - 0.04425213602 * I
0.4 + I * 1.6 , 1.054725746 - 0.06732276244 * I
0.4 + I * 1.8 , 1.08462027 - 0.1033236812 * I
0.4 + I * 2. , 1.128407402 - 0.1608240664 * I
0.6 + I * 0. , 0.9953099088 + 0. * I
0.6 + I * 0.2 , 0.995526009 - 0.002814772354 * I
0.6 + I * 0.4 , 0.9962071136 - 0.006083312292 * I
0.6 + I * 0.6 , 0.9974557125 - 0.01033463525 * I
0.6 + I * 0.8 , 0.9994560563 - 0.01626207722 * I
0.6 + I * 1. , 1.00249312 - 0.02484336286 * I
0.6 + I * 1.2 , 1.006973922 - 0.0375167093 * I
0.6 + I * 1.4 , 1.013436509 - 0.05645315628 * I
0.6 + I * 1.6 , 1.022504295 - 0.08499262247 * I
0.6 + I * 1.8 , 1.034670023 - 0.1283564595 * I
0.6 + I * 2. , 1.049599899 - 0.194806122 * I
0.8 + I * 0. , 0.992429635 + 0. * I
0.8 + I * 0.2 , 0.9924147861 - 0.003020708044 * I
0.8 + I * 0.4 , 0.99236555 - 0.00652359532 * I
0.8 + I * 0.6 , 0.9922655715 - 0.0110676219 * I
0.8 + I * 0.8 , 0.9920785856 - 0.01737733806 * I
0.8 + I * 1. , 0.9917291795 - 0.02645738598 * I
0.8 + I * 1.2 , 0.9910606387 - 0.03974949378 * I
0.8 + I * 1.4 , 0.9897435004 - 0.05935252515 * I
0.8 + I * 1.6 , 0.987077644 - 0.08832675281 * I
0.8 + I * 1.8 , 0.9815667458 - 0.1310872821 * I
0.8 + I * 2. , 0.970020127 - 0.1938136793 * I
1. + I * 0. , 0.9895776106 + 0. * I
1. + I * 0.2 , 0.9893361555 - 0.002756935338 * I
1. + I * 0.4 , 0.9885716856 - 0.005949639805 * I
1. + I * 0.6 , 0.9871564855 - 0.01008044183 * I
1. + I * 0.8 , 0.9848512162 - 0.01579337596 * I
1. + I * 1. , 0.9812582484 - 0.02396648455 * I
1. + I * 1.2 , 0.9757399152 - 0.0358288294 * I
1. + I * 1.4 , 0.9672786056 - 0.0531049859 * I
1. + I * 1.6 , 0.954237868 - 0.0781744383 * I
1. + I * 1.8 , 0.933957524 - 0.1141918269 * I
1. + I * 2. , 0.9020917489 - 0.1650142936 * I
];

t0 = cputime();
for x = 0:10
  for y = 0:10
    ur = -1 + x*0.2
    ui =  y*0.2
    ii = 1 + y + x*11
    [sn,cn,dn] = ellipj(ur + I * ui,m);
    printf("ur + i* ui = %g + i * %g\n", ur, ui); 
    printf("   sn = %g + i * %g, cn = %g + i * %g, dn = %g + i * %g\n",
            real(sn),  imag(sn),
            real(cn),  imag(cn),
            real(dn),  imag(dn) );
    printf("  SN, CN, DN:  %g + i* %g\n", real(SN(ii,1)), imag(SN(ii,1))); 
    printf("    SN = %g + i* %g, CN = %g + i* %g, DN = %g + i* %g\n",
            real(SN(ii,2)),  imag(SN(ii,2)),
            real(CN(ii,2)),  imag(CN(ii,2)),
            real(DN(ii,2)),  imag(DN(ii,2)) );
    printf("  errors:    %g,  %g,  %g\n",
      abs(SN(ii,2)-sn), abs(CN(ii,2)-cn), abs(DN(ii,2)-dn) );

  endfor
endfor
loop_time = cputime() - t0

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