diff --git a/.gitignore b/.gitignore index 46dd3f9a..76929149 100644 --- a/.gitignore +++ b/.gitignore @@ -43,6 +43,9 @@ test/test_data/* !test/test_data/simple.volume.in !test/test_data/figure8/ !test/test_data/figure8/* +!test/test_data/circ.bc +!test/test_data/boozmn_circ.nc +!test/test_data/chartmap_circ.nc *.geany examples/test1/ examples/test2/ diff --git a/test/test_data/boozmn_circ.nc b/test/test_data/boozmn_circ.nc new file mode 100644 index 00000000..2ac25a5a Binary files /dev/null and b/test/test_data/boozmn_circ.nc differ diff --git a/test/test_data/chartmap_circ.nc b/test/test_data/chartmap_circ.nc new file mode 100644 index 00000000..5cd531c6 Binary files /dev/null and b/test/test_data/chartmap_circ.nc differ diff --git a/test/test_data/circ.bc b/test/test_data/circ.bc new file mode 100644 index 00000000..9dc40328 --- /dev/null +++ b/test/test_data/circ.bc @@ -0,0 +1,1455 @@ +CC Boozer-coordinate data file Version 0.1 Author J.Geiger Created: 26.07.2010 +CC based on calculation: tok_examples/boozer.tok02 +CC = 0.006432 +CC Configurationname = tok02, aspect ratio ca 3.8, q_0 > 1, q_a < 3 + m0b n0b nsurf nper flux/[Tm^2] a/[m] R/[m] + 18 0 63 1 -1.330000e+00 0.46000 1.64377 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 2.3438E-02 8.9997E-01 -1.7754E+07 -2.3937E+04 -1.7231E+04 -7.7240E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.81092169e+00 0.00000000e+00 0.00000000e+00 1.96335464e+00 + 1 0 6.96313408e-02 7.05114198e-02 5.75628561e-06 -7.54078850e-02 + 2 0 1.81691876e-03 1.83233922e-03 1.41838683e-06 -5.24507105e-04 + 3 0 5.26925565e-05 5.19496929e-05 7.22883916e-08 -8.14119880e-06 + 4 0 4.88665890e-06 4.87741134e-06 1.50368389e-09 -3.73627634e-06 + 5 0 5.16747065e-07 5.21371270e-07 1.37963561e-10 -3.73512433e-07 + 6 0 2.81138594e-08 2.83759676e-08 2.60830060e-11 -1.33593560e-08 + 7 0 1.13594171e-09 1.14171750e-09 2.18323901e-12 1.55087102e-08 + 8 0 9.25116789e-11 9.37984697e-11 1.30458799e-13 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z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.78305470e+00 0.00000000e+00 0.00000000e+00 2.00092718e+00 + 1 0 2.45766998e-01 2.48921292e-01 2.81419392e-04 -2.72006744e-01 + 2 0 2.35308634e-02 2.36637827e-02 2.89315638e-05 -7.13899107e-03 + 3 0 2.44603205e-03 2.45392305e-03 2.36808394e-06 -3.97793687e-04 + 4 0 2.65023124e-04 2.65651005e-04 2.13647091e-07 -2.92279339e-05 + 5 0 2.97953305e-05 2.96412189e-05 2.27136321e-08 -2.77254686e-06 + 6 0 3.51252429e-06 3.41480173e-06 9.16441492e-10 -4.09527896e-07 + 7 0 4.37278122e-07 4.06922675e-07 -7.13065335e-10 -8.61103300e-08 + 8 0 5.71465879e-08 4.99274108e-08 -3.23092932e-10 -1.98365695e-08 + 9 0 7.71430632e-09 6.24262740e-09 -9.24703863e-11 -4.80680590e-09 + 10 0 1.05808695e-09 7.87097088e-10 -2.15365559e-11 -1.19722011e-09 + 11 0 1.46132193e-10 9.95969223e-11 -4.41955351e-12 -2.91477968e-10 + 12 0 2.03294985e-11 1.27061402e-11 -8.31907176e-13 -6.67812229e-11 + 13 0 2.86703647e-12 1.65703866e-12 -1.47397026e-13 -1.41877287e-11 + 14 0 4.15688317e-13 2.25147375e-13 -2.50563637e-14 -2.79922678e-12 + 15 0 6.26495383e-14 3.25456892e-14 -4.14848023e-15 -5.18491365e-13 + 16 0 5.26228366e-15 4.92965044e-15 -6.77024329e-16 -8.88913142e-14 + 17 0 -1.85528676e-15 1.03443729e-15 -1.09565829e-16 -1.57037782e-14 + 18 0 -5.07753561e-15 -4.39101880e-17 -1.79979678e-17 -6.93382931e-15 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 3.0469E-01 8.5279E-01 -1.7537E+07 -3.0572E+05 -1.9971E+04 -7.6350E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.78135007e+00 0.00000000e+00 0.00000000e+00 2.00330001e+00 + 1 0 2.52168778e-01 2.55410402e-01 3.05381006e-04 -2.79479677e-01 + 2 0 2.48378236e-02 2.49790215e-02 3.12452927e-05 -7.58126037e-03 + 3 0 2.65773634e-03 2.66644691e-03 2.62685582e-06 -4.36230927e-04 + 4 0 2.96418669e-04 2.97153447e-04 2.43565416e-07 -3.29761913e-05 + 5 0 3.42584487e-05 3.40894571e-05 2.65717601e-08 -3.16731112e-06 + 6 0 4.13798735e-06 4.02444748e-06 1.17099315e-09 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1.12561523e-12 7.21583817e-13 -5.23141768e-14 -5.17225080e-12 + 15 0 1.88989449e-13 1.24904861e-13 -9.15581757e-15 -9.98237776e-13 + 16 0 3.24879013e-14 2.22767768e-14 -1.57719991e-15 -1.84249168e-13 + 17 0 -5.29524341e-16 4.29116378e-15 -2.69628163e-16 -3.03408134e-14 + 18 0 -1.28196065e-15 7.82902389e-16 -4.61647779e-17 -1.29472388e-14 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 3.3594E-01 8.4203E-01 -1.7518E+07 -3.3317E+05 -1.9976E+04 -7.6217E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.77790271e+00 0.00000000e+00 0.00000000e+00 2.00812837e+00 + 1 0 2.64452485e-01 2.67865412e-01 3.55633214e-04 -2.93925047e-01 + 2 0 2.74737199e-02 2.76320860e-02 3.61628747e-05 -8.49779029e-03 + 3 0 3.10488936e-03 3.11537922e-03 3.19896556e-06 -5.19970623e-04 + 4 0 3.65779063e-04 3.66759203e-04 3.12570867e-07 -4.15128958e-05 + 5 0 4.45656490e-05 4.43683002e-05 3.58340262e-08 -4.10543569e-06 + 6 0 5.64546260e-06 5.49641903e-06 1.89237410e-09 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2.69749847e-12 1.88398526e-12 -1.01880454e-13 -9.26049721e-12 + 15 0 5.02039382e-13 3.61778641e-13 -1.87880226e-14 -1.87085477e-12 + 16 0 9.05837905e-14 7.01381227e-14 -3.40679997e-15 -3.58704124e-13 + 17 0 9.64831513e-15 1.33644181e-14 -6.13849012e-16 -6.41131406e-14 + 18 0 -2.15712864e-15 2.30761590e-15 -1.11087948e-16 -1.98857882e-14 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 3.6719E-01 8.3017E-01 -1.7499E+07 -3.5943E+05 -1.9980E+04 -7.6072E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.77439774e+00 0.00000000e+00 0.00000000e+00 2.01307839e+00 + 1 0 2.76115169e-01 2.79696528e-01 4.09020720e-04 -3.07783255e-01 + 2 0 3.01436662e-02 3.03201308e-02 4.14971887e-05 -9.46326692e-03 + 3 0 3.58512895e-03 3.59760537e-03 3.85124630e-06 -6.13900388e-04 + 4 0 4.44588886e-04 4.45861196e-04 3.95505006e-07 -5.16319405e-05 + 5 0 5.69405525e-05 5.67186799e-05 4.75174108e-08 -5.27656914e-06 + 6 0 7.55369894e-06 7.36423355e-06 2.98345190e-09 -7.71101367e-07 + 7 0 1.04427027e-06 9.75470804e-07 -1.37020682e-09 -1.75502965e-07 + 8 0 1.51323516e-07 1.32472156e-07 -7.71242490e-10 -4.81997739e-08 + 9 0 2.30930468e-08 1.86759334e-08 -2.56436439e-10 -1.36097646e-08 + 10 0 3.72269836e-09 2.78794703e-09 -6.87728096e-11 -3.74542939e-09 + 11 0 6.33761731e-10 4.49392247e-10 -1.62274276e-11 -9.81580268e-10 + 12 0 1.13326487e-10 7.86923699e-11 -3.51072547e-12 -2.42248958e-10 + 13 0 2.10637167e-11 1.47613985e-11 -7.14147508e-13 -5.61354856e-11 + 14 0 4.01535749e-12 2.89012184e-12 -1.39070689e-13 -1.22437855e-11 + 15 0 7.72710021e-13 5.76049083e-13 -2.63000350e-14 -2.52688517e-12 + 16 0 1.50155062e-13 1.15311515e-13 -4.88820533e-15 -4.99292352e-13 + 17 0 2.20679594e-14 2.31099861e-14 -9.01918353e-16 -9.19286996e-14 + 18 0 1.34874750e-15 4.10988518e-15 -1.67316959e-16 -2.80326836e-14 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 3.8281E-01 8.2382E-01 -1.7491E+07 -3.7207E+05 -1.9981E+04 -7.5995E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.77262083e+00 0.00000000e+00 0.00000000e+00 2.01560356e+00 + 1 0 2.81736032e-01 2.85401096e-01 4.36909982e-04 -3.14517402e-01 + 2 0 3.14933605e-02 3.16792727e-02 4.43334285e-05 -9.96697229e-03 + 3 0 3.83832767e-03 3.85188408e-03 4.21064967e-06 -6.65141457e-04 + 4 0 4.87838036e-04 4.89276004e-04 4.42935188e-07 -5.73714050e-05 + 5 0 6.40008314e-05 6.37689691e-05 5.44245077e-08 -5.96522711e-06 + 6 0 8.68369863e-06 8.47231821e-06 3.70603355e-09 -8.71984577e-07 + 7 0 1.22570416e-06 1.14666804e-06 -1.49822420e-09 -1.99918242e-07 + 8 0 1.81290470e-07 1.59064174e-07 -8.88048719e-10 -5.62816028e-08 + 9 0 2.83096747e-08 2.29678871e-08 -3.04096072e-10 -1.62986838e-08 + 10 0 4.69382061e-09 3.53441903e-09 -8.37353619e-11 -4.57628642e-09 + 11 0 8.26583420e-10 5.92058915e-10 -2.02720033e-11 -1.21975871e-09 + 12 0 1.53460557e-10 1.08290577e-10 -4.49884385e-12 -3.06071536e-10 + 13 0 2.96348987e-11 2.12079523e-11 -9.38559709e-13 -7.22151172e-11 + 14 0 5.85792526e-12 4.31705539e-12 -1.87388007e-13 -1.60683270e-11 + 15 0 1.16939791e-12 8.90439849e-13 -3.63165285e-14 -3.39214353e-12 + 16 0 2.30037343e-13 1.83353549e-13 -6.91469206e-15 -6.82507817e-13 + 17 0 4.41393612e-14 3.72030965e-14 -1.30729413e-15 -1.33092706e-13 + 18 0 7.30578792e-15 7.32920669e-15 -2.47711397e-16 -3.95969327e-14 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 3.9844E-01 8.1720E-01 -1.7483E+07 -3.8437E+05 -1.9983E+04 -7.5915E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.77082599e+00 0.00000000e+00 0.00000000e+00 2.01816479e+00 + 1 0 2.87226523e-01 2.90975240e-01 4.65611454e-04 -3.21132969e-01 + 2 0 3.28540169e-02 3.30496720e-02 4.72901876e-05 -1.04862048e-02 + 3 0 4.10068240e-03 4.11538225e-03 4.59419093e-06 -7.19516330e-04 + 4 0 5.33836156e-04 5.35454070e-04 4.94799078e-07 -6.36186753e-05 + 5 0 7.17029158e-05 7.14630811e-05 6.21404114e-08 -6.73268635e-06 + 6 0 9.94690722e-06 9.71257872e-06 4.57082209e-09 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1.18341899e-11 9.02988003e-12 -3.28643685e-13 -2.70996435e-11 + 15 0 2.51031661e-12 1.97517827e-12 -6.67841075e-14 -5.97516723e-12 + 16 0 5.30173128e-13 4.28886961e-13 -1.33214807e-14 -1.26329980e-12 + 17 0 1.05143433e-13 9.17857370e-14 -2.63636485e-15 -2.55126214e-13 + 18 0 2.04515224e-14 1.91884269e-14 -5.22684974e-16 -7.65883692e-14 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 4.2969E-01 8.0313E-01 -1.7467E+07 -4.0789E+05 -1.9985E+04 -7.5745E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.76717694e+00 0.00000000e+00 0.00000000e+00 2.02340390e+00 + 1 0 2.97841424e-01 3.01758148e-01 5.25511367e-04 -3.34037632e-01 + 2 0 3.56120385e-02 3.58281670e-02 5.35920340e-05 -1.15764506e-02 + 3 0 4.65443382e-03 4.67163069e-03 5.44049090e-06 -8.38659364e-04 + 4 0 6.34729653e-04 6.36754640e-04 6.13435332e-07 -7.78307293e-05 + 5 0 8.92414685e-05 8.89934482e-05 8.03487646e-08 -8.54056035e-06 + 6 0 1.29294038e-05 1.26464831e-05 6.81318868e-09 -1.25410409e-06 + 7 0 1.94033352e-06 1.82503337e-06 -1.80017449e-09 -2.89837846e-07 + 8 0 3.04716149e-07 2.69767223e-07 -1.28476041e-09 -8.64186204e-08 + 9 0 5.07731574e-08 4.17391734e-08 -4.81147923e-10 -2.67736057e-08 + 10 0 9.08234067e-09 6.97422827e-09 -1.43117672e-10 -7.97422876e-09 + 11 0 1.74677384e-09 1.28839565e-09 -3.73144209e-11 -2.24011991e-09 + 12 0 3.56843350e-10 2.61993159e-10 -8.90912357e-12 -5.91980119e-10 + 13 0 7.58653071e-11 5.68801820e-11 -1.99826564e-12 -1.47540401e-10 + 14 0 1.64457961e-11 1.27215155e-11 -4.28559291e-13 -3.48469569e-11 + 15 0 3.57922893e-12 2.85621396e-12 -8.91144164e-14 -7.84630756e-12 + 16 0 7.76232377e-13 6.35062315e-13 -1.81821475e-14 -1.69801172e-12 + 17 0 1.63487930e-13 1.39295043e-13 -3.67867256e-15 -3.53615855e-13 + 18 0 3.04652137e-14 2.94042134e-14 -7.46246191e-16 -1.05366829e-13 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 4.4531E-01 7.9568E-01 -1.7460E+07 -4.1907E+05 -1.9986E+04 -7.5654E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.76531970e+00 0.00000000e+00 0.00000000e+00 2.02608634e+00 + 1 0 3.02976668e-01 3.06978174e-01 5.56746520e-04 -3.40339673e-01 + 2 0 3.70114974e-02 3.72384129e-02 5.69521173e-05 -1.21503300e-02 + 3 0 4.94674040e-03 4.96530218e-03 5.90709677e-06 -9.03992696e-04 + 4 0 6.89994959e-04 6.92249538e-04 6.81127145e-07 -8.59077594e-05 + 5 0 9.91969880e-05 9.89497056e-05 9.10441056e-08 -9.60247242e-06 + 6 0 1.46812681e-05 1.43729485e-05 8.24076296e-09 -1.41386881e-06 + 7 0 2.24790888e-06 2.11861905e-06 -1.85336576e-09 -3.26326127e-07 + 8 0 3.59952501e-07 3.19800707e-07 -1.42898294e-09 -9.86673808e-08 + 9 0 6.12080098e-08 5.05833998e-08 -5.51896668e-10 -3.11843073e-08 + 10 0 1.12008177e-08 8.66328836e-09 -1.68377612e-10 -9.46759824e-09 + 11 0 2.21001954e-09 1.64535197e-09 -4.49659716e-11 -2.70766533e-09 + 12 0 4.63991050e-10 3.44433114e-10 -1.09914266e-11 -7.28329207e-10 + 13 0 1.01398206e-10 7.69206255e-11 -2.52329073e-12 -1.84907694e-10 + 14 0 2.25756601e-11 1.76659746e-11 -5.53725567e-13 -4.45421914e-11 + 15 0 5.04480485e-12 4.06608688e-12 -1.17771474e-13 -1.02467507e-11 + 16 0 1.12150306e-12 9.26130483e-13 -2.45662878e-14 -2.26803480e-12 + 17 0 2.38080822e-13 2.07618211e-13 -5.07972392e-15 -4.80478026e-13 + 18 0 4.98000079e-14 4.49304222e-14 -1.05268259e-15 -1.48754003e-13 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 4.6094E-01 7.8796E-01 -1.7454E+07 -4.2984E+05 -1.9987E+04 -7.5560E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.76343843e+00 0.00000000e+00 0.00000000e+00 2.02881396e+00 + 1 0 3.08003351e-01 3.12090448e-01 5.88867616e-04 -3.46549181e-01 + 2 0 3.84261222e-02 3.86642339e-02 6.04628502e-05 -1.27454929e-02 + 3 0 5.25003198e-03 5.27004494e-03 6.40557917e-06 -9.73596910e-04 + 4 0 7.48753540e-04 7.51256961e-04 7.55104183e-07 -9.47188465e-05 + 5 0 1.10034070e-04 1.09791452e-04 1.02957358e-07 -1.07865926e-05 + 6 0 1.66320309e-05 1.62977719e-05 9.91132391e-09 -1.59352910e-06 + 7 0 2.59781632e-06 2.45357358e-06 -1.87044465e-09 -3.66686336e-07 + 8 0 4.24047823e-07 3.78163518e-07 -1.57672173e-09 -1.12159322e-07 + 9 0 7.35432818e-08 6.11184430e-08 -6.28509015e-10 -3.61191207e-08 + 10 0 1.37521475e-08 1.07160559e-08 -1.96669192e-10 -1.11747443e-08 + 11 0 2.77922314e-09 2.08805791e-09 -5.37830338e-11 -3.25395419e-09 + 12 0 5.98576917e-10 4.48891495e-10 -1.34550886e-11 -8.91079562e-10 + 13 0 1.34228927e-10 1.02895462e-10 -3.16039664e-12 -2.30464055e-10 + 14 0 3.06479772e-11 2.42257657e-11 -7.09386795e-13 -5.66189225e-11 + 15 0 7.01838240e-12 5.70995768e-12 -1.54269296e-13 -1.33025397e-11 + 16 0 1.59317351e-12 1.33011007e-12 -3.28886281e-14 -3.00692659e-12 + 17 0 3.54429593e-13 3.04752100e-13 -6.94731532e-15 -6.56580299e-13 + 18 0 7.70568505e-14 6.83951593e-14 -1.46859779e-15 -2.07325744e-13 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 4.7656E-01 7.7996E-01 -1.7447E+07 -4.4020E+05 -1.9988E+04 -7.5462E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.76153129e+00 0.00000000e+00 0.00000000e+00 2.03158942e+00 + 1 0 3.12925501e-01 3.17099221e-01 6.21900298e-04 -3.52671271e-01 + 2 0 3.98571807e-02 4.01069329e-02 6.41336704e-05 -1.33636958e-02 + 3 0 5.56490847e-03 5.58646633e-03 6.93841142e-06 -1.04783994e-03 + 4 0 8.11245688e-04 8.14018836e-04 8.35973093e-07 -1.04339471e-04 + 5 0 1.21830778e-04 1.21597349e-04 1.16226463e-07 -1.21078858e-05 + 6 0 1.88036352e-05 1.84430712e-05 1.18589725e-08 -1.79587520e-06 + 7 0 2.99565997e-06 2.83550319e-06 -1.84224320e-09 -4.11397964e-07 + 8 0 4.98357992e-07 4.46182331e-07 -1.72593336e-09 -1.26999687e-07 + 9 0 8.81042670e-08 7.36500521e-08 -7.10835110e-10 -4.16225117e-08 + 10 0 1.68174599e-08 1.32049389e-08 -2.28150729e-10 -1.31187655e-08 + 11 0 3.47606924e-09 2.63501436e-09 -6.38798118e-11 -3.88972325e-09 + 12 0 7.66779459e-10 5.80530072e-10 -1.63516438e-11 -1.08457886e-09 + 13 0 1.76188487e-10 1.36329826e-10 -3.92852095e-12 -2.85791630e-10 + 14 0 4.12097474e-11 3.28591247e-11 -9.01677527e-13 -7.16064571e-11 + 15 0 9.65663660e-12 7.92248884e-12 -2.00432119e-13 -1.71744792e-11 + 16 0 2.24764478e-12 1.88678131e-12 -4.36570340e-14 -3.97208589e-12 + 17 0 5.14099180e-13 4.41710470e-13 -9.41754228e-15 -8.87374388e-13 + 18 0 1.16160120e-13 1.01550062e-13 -2.03156702e-15 -2.88421811e-13 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 4.9219E-01 7.7168E-01 -1.7441E+07 -4.5013E+05 -1.9989E+04 -7.5359E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.75959627e+00 0.00000000e+00 0.00000000e+00 2.03441558e+00 + 1 0 3.17746682e-01 3.22008286e-01 6.55873492e-04 -3.58710612e-01 + 2 0 4.13060471e-02 4.15679229e-02 6.79749483e-05 -1.40068518e-02 + 3 0 5.89203879e-03 5.91524358e-03 7.50833928e-06 -1.12713185e-03 + 4 0 8.77739092e-04 8.80804677e-04 9.24414224e-07 -1.14855018e-04 + 5 0 1.34674580e-04 1.34455518e-04 1.31007901e-07 -1.35835203e-05 + 6 0 2.12209472e-05 2.08339101e-05 1.41224084e-08 -2.02417134e-06 + 7 0 3.44788014e-06 3.27085712e-06 -1.75826691e-09 -4.61034453e-07 + 8 0 5.84463593e-07 5.25408575e-07 -1.87414862e-09 -1.43311237e-07 + 9 0 1.05274800e-07 8.85412270e-08 -7.98605981e-10 -4.77436646e-08 + 10 0 2.04933664e-08 1.62169064e-08 -2.62960441e-10 -1.53251774e-08 + 11 0 4.32658237e-09 3.30862982e-09 -7.53735510e-11 -4.62706847e-09 + 12 0 9.76097810e-10 7.45658911e-10 -1.97371221e-11 -1.31385077e-09 + 13 0 2.29506730e-10 1.79113689e-10 -4.84906115e-12 -3.52748172e-10 + 14 0 5.49317883e-11 4.41433010e-11 -1.13775377e-12 -9.01376688e-11 + 15 0 1.31638520e-11 1.08785216e-11 -2.58445965e-13 -2.20689343e-11 + 16 0 3.13380051e-12 2.64654227e-12 -5.75002527e-14 -5.21717319e-12 + 17 0 7.33847445e-13 6.33386572e-13 -1.26618051e-14 -1.19280745e-12 + 18 0 1.66485098e-13 1.49219179e-13 -2.78607729e-15 -3.96063729e-13 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 5.0781E-01 7.6313E-01 -1.7436E+07 -4.5960E+05 -1.9990E+04 -7.5252E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.75763121e+00 0.00000000e+00 0.00000000e+00 2.03729549e+00 + 1 0 3.22470021e-01 3.26821006e-01 6.90819684e-04 -3.64671474e-01 + 2 0 4.27742142e-02 4.30487393e-02 7.19980992e-05 -1.46770491e-02 + 3 0 6.23216857e-03 6.25713166e-03 8.11841645e-06 -1.21193053e-03 + 4 0 9.48532485e-04 9.51915288e-04 1.02119410e-06 -1.26362232e-04 + 5 0 1.48663790e-04 1.48465000e-04 1.47480558e-07 -1.52332555e-05 + 6 0 2.39122549e-05 2.34988026e-05 1.67459926e-08 -2.28225556e-06 + 7 0 3.96191149e-06 3.76708732e-06 -1.60641276e-09 -5.16288394e-07 + 8 0 6.84216487e-07 6.17665300e-07 -2.01839061e-09 -1.61240647e-07 + 9 0 1.25510346e-07 1.06225234e-07 -8.91407694e-10 -5.45383013e-08 + 10 0 2.48955879e-08 1.98570153e-08 -3.01208937e-10 -1.78225668e-08 + 11 0 5.36217386e-09 4.13619853e-09 -8.83830026e-11 -5.47974756e-09 + 12 0 1.23566586e-09 9.52023132e-10 -2.36720775e-11 -1.58472699e-09 + 13 0 2.96972474e-10 2.33594807e-10 -5.94609699e-12 -4.33559641e-10 + 14 0 7.26603638e-11 5.88067112e-11 -1.42593472e-12 -1.12980418e-10 + 15 0 1.77997755e-11 1.48025708e-11 -3.30926238e-13 -2.82391905e-11 + 16 0 4.32651658e-12 3.67807347e-12 -7.51853858e-14 -6.81884528e-12 + 17 0 1.03901089e-12 8.98482243e-13 -1.68982679e-14 -1.59553596e-12 + 18 0 2.42550337e-13 2.15287206e-13 -3.79455768e-15 -5.46011918e-13 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 5.2344E-01 7.5430E-01 -1.7431E+07 -4.6861E+05 -1.9991E+04 -7.5141E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.75563374e+00 0.00000000e+00 0.00000000e+00 2.04023242e+00 + 1 0 3.27098238e-01 3.31540350e-01 7.26775198e-04 -3.70557757e-01 + 2 0 4.42633068e-02 4.45510535e-02 7.62157024e-05 -1.53765716e-02 + 3 0 6.58612888e-03 6.61297209e-03 8.77204629e-06 -1.30274812e-03 + 4 0 1.02395985e-03 1.02768699e-03 1.12717719e-06 -1.38971032e-04 + 5 0 1.63909193e-04 1.63737382e-04 1.65849001e-07 -1.70798798e-05 + 6 0 2.69098279e-05 2.64702746e-05 1.97806283e-08 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m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.75360126e+00 0.00000000e+00 0.00000000e+00 2.04322992e+00 + 1 0 3.31633668e-01 3.36168909e-01 7.63780541e-04 -3.76373023e-01 + 2 0 4.57750968e-02 4.60766890e-02 8.06416445e-05 -1.61079228e-02 + 3 0 6.95484644e-03 6.98370333e-03 9.47302914e-06 -1.40015862e-03 + 4 0 1.10439533e-03 1.10849658e-03 1.24334152e-06 -1.52806573e-04 + 5 0 1.80535997e-04 1.80398773e-04 1.86348273e-07 -1.91497494e-05 + 6 0 3.02506065e-05 2.97855598e-05 2.32851361e-08 -2.90665980e-06 + 7 0 5.21122686e-06 4.97811402e-06 -1.04101735e-09 -6.47169616e-07 + 8 0 9.33759645e-07 8.50253831e-07 -2.28001050e-09 -2.02696819e-07 + 9 0 1.77451450e-07 1.52150856e-07 -1.08955426e-09 -7.04139128e-08 + 10 0 3.64643279e-08 2.95586253e-08 -3.88274365e-10 -2.38239969e-08 + 11 0 8.14908142e-09 6.39425723e-09 -1.19419795e-10 -7.59645998e-09 + 12 0 1.95275420e-09 1.52889468e-09 -3.34547645e-11 -2.27970065e-09 + 13 0 4.88879066e-10 3.90069066e-10 -8.78074573e-12 -6.47820856e-10 + 14 0 1.24723197e-10 1.02203592e-10 -2.19865364e-12 -1.75592413e-10 + 15 0 3.18674653e-11 2.67937398e-11 -5.32353319e-13 -4.57248530e-11 + 16 0 8.07961857e-12 6.93619511e-12 -1.26063249e-13 -1.15225446e-11 + 17 0 2.02662973e-12 1.76493542e-12 -2.94978258e-14 -2.81716434e-12 + 18 0 4.99252413e-13 4.41517482e-13 -6.88534533e-15 -1.02476239e-12 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 5.5469E-01 7.3582E-01 -1.7422E+07 -4.8518E+05 -1.9992E+04 -7.4903E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.75153095e+00 0.00000000e+00 0.00000000e+00 2.04629185e+00 + 1 0 3.36078271e-01 3.40708912e-01 8.01880784e-04 -3.82120516e-01 + 2 0 4.73115206e-02 4.76276388e-02 8.52912773e-05 -1.68738523e-02 + 3 0 7.33935527e-03 7.37037264e-03 1.02256202e-05 -1.50480666e-03 + 4 0 1.19025895e-03 1.19476711e-03 1.37079723e-06 -1.68011772e-04 + 5 0 1.98686150e-04 1.98592128e-04 2.09249270e-07 -2.14734572e-05 + 6 0 3.39770240e-05 3.34874254e-05 2.73276757e-08 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m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.74941970e+00 0.00000000e+00 0.00000000e+00 2.04942237e+00 + 1 0 3.40433645e-01 3.45162239e-01 8.41125994e-04 -3.87803182e-01 + 2 0 4.88746980e-02 4.92060857e-02 9.01816065e-05 -1.76773866e-02 + 3 0 7.74081030e-03 7.77414987e-03 1.10345965e-05 -1.61741785e-03 + 4 0 1.28202335e-03 1.28697468e-03 1.51080780e-06 -1.84750315e-04 + 5 0 2.18521071e-04 2.18479993e-04 2.34864880e-07 -2.40866331e-05 + 6 0 3.81379889e-05 3.76251579e-05 3.19873847e-08 -3.71599613e-06 + 7 0 6.83085136e-06 6.55618865e-06 -5.28548525e-12 -8.13106425e-07 + 8 0 1.26960214e-06 1.16635163e-06 -2.47322629e-09 -2.53298909e-07 + 9 0 2.49688641e-07 2.16981259e-07 -1.29786297e-09 -8.99036789e-08 + 10 0 5.30268047e-08 4.37028824e-08 -4.89305606e-10 -3.14430745e-08 + 11 0 1.22531742e-08 9.77965370e-09 -1.57882535e-10 -1.03977709e-08 + 12 0 3.04187701e-09 2.41838933e-09 -4.62685591e-11 -3.23975498e-09 + 13 0 7.90726075e-10 6.39130441e-10 -1.26870878e-11 -9.56763996e-10 + 14 0 2.09815058e-10 1.73815238e-10 -3.31598581e-12 -2.69817009e-10 + 15 0 5.58131423e-11 4.73716641e-11 -8.37355719e-13 -7.31987179e-11 + 16 0 1.47409949e-11 1.27612651e-11 -2.06589947e-13 -1.92449353e-11 + 17 0 3.84552806e-12 3.38112134e-12 -5.03002880e-14 -4.90667310e-12 + 18 0 9.84446791e-13 8.79756337e-13 -1.22025379e-14 -1.89538513e-12 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 5.8594E-01 7.1623E-01 -1.7415E+07 -4.9970E+05 -1.9994E+04 -7.4643E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.74726409e+00 0.00000000e+00 0.00000000e+00 2.05262605e+00 + 1 0 3.44701024e-01 3.49530425e-01 8.81571712e-04 -3.93423682e-01 + 2 0 5.04669545e-02 5.08144243e-02 9.53315063e-05 -1.85218642e-02 + 3 0 8.16050306e-03 8.19634341e-03 1.19053291e-05 -1.73881105e-03 + 4 0 1.38022152e-03 1.38565627e-03 1.66481514e-06 -2.03210093e-04 + 5 0 2.40224862e-04 2.40247758e-04 2.63558781e-07 -2.70308596e-05 + 6 0 4.27900817e-05 4.22557787e-05 3.73573512e-08 -4.20971870e-06 + 7 0 7.81530238e-06 7.51882093e-06 7.46419367e-10 -9.13197071e-07 + 8 0 1.47941023e-06 1.36518412e-06 -2.52827070e-09 -2.82892730e-07 + 9 0 2.95903651e-07 2.58899996e-07 -1.40223166e-09 -1.01281127e-07 + 10 0 6.38412865e-08 5.30607271e-08 -5.44720437e-10 -3.59896028e-08 + 11 0 1.49846475e-08 1.20625865e-08 -1.80132811e-10 -1.21199210e-08 + 12 0 3.78184908e-09 3.02945719e-09 -5.40037478e-11 -3.84876607e-09 + 13 0 1.00070235e-09 8.13889878e-10 -1.51366350e-11 -1.15898463e-09 + 14 0 2.70590578e-10 2.25311105e-10 -4.04195570e-12 -3.33447522e-10 + 15 0 7.34066835e-11 6.25755450e-11 -1.04232194e-12 -9.23405662e-11 + 16 0 1.97796102e-11 1.71900851e-11 -2.62472554e-13 -2.47951612e-11 + 17 0 5.26445207e-12 4.64616236e-12 -6.51852996e-14 -6.45573494e-12 + 18 0 1.38448129e-12 1.23386674e-12 -1.61172417e-14 -2.57581611e-12 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 6.0156E-01 7.0602E-01 -1.7413E+07 -5.0616E+05 -1.9995E+04 -7.4504E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.74506035e+00 0.00000000e+00 0.00000000e+00 2.05590785e+00 + 1 0 3.48881281e-01 3.53814655e-01 9.23279482e-04 -3.98984395e-01 + 2 0 5.20908454e-02 5.24552871e-02 1.00761968e-04 -1.94109747e-02 + 3 0 8.59987976e-03 8.63841859e-03 1.28438785e-05 -1.86991259e-03 + 4 0 1.48545615e-03 1.49141911e-03 1.83446980e-06 -2.23607595e-04 + 5 0 2.64008204e-04 2.64107568e-04 2.95753792e-07 -3.03548874e-05 + 6 0 4.79989859e-05 4.74454745e-05 4.35466687e-08 -4.77643284e-06 + 7 0 8.94045031e-06 8.62159087e-06 1.69297236e-09 -1.02755075e-06 + 8 0 1.72375872e-06 1.59779829e-06 -2.54454883e-09 -3.15980534e-07 + 9 0 3.50613432e-07 3.08877575e-07 -1.50401901e-09 -1.13943905e-07 + 10 0 7.68214784e-08 6.43940723e-08 -6.02999856e-10 -4.11170097e-08 + 11 0 1.83046432e-08 1.48629369e-08 -2.04479290e-10 -1.41009180e-08 + 12 0 4.69340395e-09 3.78812932e-09 -6.27287617e-11 -4.56447912e-09 + 13 0 1.26341309e-09 1.03387689e-09 -1.79743240e-11 -1.40183102e-09 + 14 0 3.47984367e-10 2.91198351e-10 -4.90402136e-12 -4.11528585e-10 + 15 0 9.62549242e-11 8.23895342e-11 -1.29148471e-12 -1.16348530e-10 + 16 0 2.64516204e-11 2.30774067e-11 -3.31939715e-13 -3.19051164e-11 + 17 0 7.18533132e-12 6.36244573e-12 -8.40874488e-14 -8.48751213e-12 + 18 0 1.92031764e-12 1.72523324e-12 -2.11873018e-14 -3.48433655e-12 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 6.1719E-01 6.9554E-01 -1.7410E+07 -5.1206E+05 -1.9995E+04 -7.4360E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.74280432e+00 0.00000000e+00 0.00000000e+00 2.05927326e+00 + 1 0 3.52974914e-01 3.58015757e-01 9.66317569e-04 -4.04487430e-01 + 2 0 5.37491858e-02 5.41315746e-02 1.06496363e-04 -2.03488082e-02 + 3 0 9.06056234e-03 9.10201908e-03 1.38571028e-05 -2.01177261e-03 + 4 0 1.59841047e-03 1.60495170e-03 2.02167007e-06 -2.46193008e-04 + 5 0 2.90113064e-04 2.90303042e-04 3.31944049e-07 -3.41161251e-05 + 6 0 5.38412709e-05 5.32713889e-05 5.06838668e-08 -5.42892777e-06 + 7 0 1.02287098e-05 9.88704547e-06 2.87013656e-09 -1.15891518e-06 + 8 0 2.00887798e-06 1.87041298e-06 -2.51177117e-09 -3.53182385e-07 + 9 0 4.15508868e-07 3.68572686e-07 -1.60054947e-09 -1.28081146e-07 + 10 0 9.24311062e-08 7.81453202e-08 -6.63660026e-10 -4.69090766e-08 + 11 0 2.23463827e-08 1.83036530e-08 -2.30945074e-10 -1.63824225e-08 + 12 0 5.81749580e-09 4.73118298e-09 -7.25199364e-11 -5.40656232e-09 + 13 0 1.59227458e-09 1.31096824e-09 -2.12471378e-11 -1.69383663e-09 + 14 0 4.46563009e-10 3.75515825e-10 -5.92356205e-12 -5.07483575e-10 + 15 0 1.25893924e-10 1.08208831e-10 -1.59322390e-12 -1.46484462e-10 + 16 0 3.52910513e-11 3.08987105e-11 -4.17986687e-13 -4.10338095e-11 + 17 0 9.77882532e-12 8.68926350e-12 -1.08008134e-13 -1.11474640e-11 + 18 0 2.67496485e-12 2.40288909e-12 -2.77411269e-14 -4.72202272e-12 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 6.3281E-01 6.8478E-01 -1.7408E+07 -5.1739E+05 -1.9996E+04 -7.4208E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.74049140e+00 0.00000000e+00 0.00000000e+00 2.06272829e+00 + 1 0 3.56982033e-01 3.62134191e-01 1.01076149e-03 -4.09934618e-01 + 2 0 5.54450795e-02 5.58464857e-02 1.12560828e-04 -2.13399032e-02 + 3 0 9.54437349e-03 9.58899225e-03 1.49527750e-05 -2.16558643e-03 + 4 0 1.71986111e-03 1.72703677e-03 2.22860066e-06 -2.71256331e-04 + 5 0 3.18818144e-04 3.19114822e-04 3.72709635e-07 -3.83822557e-05 + 6 0 6.04065138e-05 5.98237840e-05 5.89224773e-08 -6.18257492e-06 + 7 0 1.17067609e-05 1.13420377e-05 4.32113443e-09 -1.31067950e-06 + 8 0 2.34231954e-06 2.19057844e-06 -2.41727403e-09 -3.95282898e-07 + 9 0 4.92675496e-07 4.40038796e-07 -1.68837217e-09 -1.43931811e-07 + 10 0 1.11250754e-07 9.48719605e-08 -7.25980096e-10 -5.34695707e-08 + 11 0 2.72785500e-08 2.25418153e-08 -2.59492959e-10 -1.90157010e-08 + 12 0 7.20645590e-09 5.90606433e-09 -8.34441035e-11 -6.39941441e-09 + 13 0 2.00454572e-09 1.66061544e-09 -2.50035287e-11 -2.04570808e-09 + 14 0 5.72234662e-10 4.83558754e-10 -7.12417070e-12 -6.25655263e-10 + 15 0 1.64411040e-10 1.41884744e-10 -1.95719639e-12 -1.84429597e-10 + 16 0 4.69977494e-11 4.13001636e-11 -5.24170696e-13 -5.27705381e-11 + 17 0 1.32951879e-11 1.18470023e-11 -1.38172775e-13 -1.46514976e-11 + 18 0 3.70693753e-12 3.34400541e-12 -3.61708903e-14 -6.38967239e-12 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 6.4844E-01 6.7374E-01 -1.7407E+07 -5.2213E+05 -1.9997E+04 -7.4049E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.73811645e+00 0.00000000e+00 0.00000000e+00 2.06627959e+00 + 1 0 3.60902337e-01 3.66170027e-01 1.05669498e-03 -4.15327507e-01 + 2 0 5.71819591e-02 5.76035588e-02 1.18984589e-04 -2.23893139e-02 + 3 0 1.00533647e-02 1.01014180e-02 1.61397475e-05 -2.33271655e-03 + 4 0 1.85069349e-03 1.85856687e-03 2.45779697e-06 -2.99134993e-04 + 5 0 3.50445924e-04 3.50867582e-04 4.18734654e-07 -4.32337329e-05 + 6 0 6.78000342e-05 6.72087487e-05 6.84446493e-08 -7.05602808e-06 + 7 0 1.34064900e-05 1.30186567e-05 6.09702185e-09 -1.48703894e-06 + 8 0 2.73325230e-06 2.56746898e-06 -2.24608155e-09 -4.43263175e-07 + 9 0 5.84681350e-07 5.25810659e-07 -1.76330270e-09 -1.61790362e-07 + 10 0 1.34003352e-07 1.15271436e-07 -7.89012827e-10 -6.09240619e-08 + 11 0 3.33129383e-08 2.77759463e-08 -2.90026839e-10 -2.20628810e-08 + 12 0 8.92644735e-09 7.37320963e-09 -9.55588668e-11 -7.57297762e-09 + 13 0 2.52229579e-09 2.10266443e-09 -2.92938092e-11 -2.47084471e-09 + 14 0 7.32690936e-10 6.22218838e-10 -8.53195263e-12 -7.71609734e-10 + 15 0 2.14500681e-10 1.85865414e-10 -2.39453511e-12 -2.32327692e-10 + 16 0 6.25328712e-11 5.51485808e-11 -6.54734934e-13 -6.79204241e-11 + 17 0 1.80426230e-11 1.61359767e-11 -1.76086408e-13 -1.92598272e-11 + 18 0 5.14691414e-12 4.64672116e-12 -4.69935679e-14 -8.66775865e-12 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 6.6406E-01 6.6243E-01 -1.7406E+07 -5.2627E+05 -1.9997E+04 -7.3883E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.73567380e+00 0.00000000e+00 0.00000000e+00 2.06993452e+00 + 1 0 3.64735087e-01 3.70122910e-01 1.10421075e-03 -4.20667352e-01 + 2 0 5.89636237e-02 5.94067119e-02 1.25800484e-04 -2.35026751e-02 + 3 0 1.05898507e-02 1.06416431e-02 1.74281315e-05 -2.51472296e-03 + 4 0 1.99192043e-03 2.00056297e-03 2.71218640e-06 -3.30223643e-04 + 5 0 3.85370437e-04 3.85937984e-04 4.70823399e-07 -4.87660244e-05 + 6 0 7.61459291e-05 7.55513505e-05 7.94700519e-08 -8.07176098e-06 + 7 0 1.53661568e-05 1.49554489e-05 8.26118334e-09 -1.69317639e-06 + 8 0 3.19290403e-06 3.01234553e-06 -1.97892666e-09 -4.98378599e-07 + 9 0 6.94739755e-07 6.29074059e-07 -1.81963997e-09 -1.82041430e-07 + 10 0 1.61612566e-07 1.40241484e-07 -8.51299185e-10 -6.94351614e-08 + 11 0 4.07249878e-08 3.42669955e-08 -3.22294966e-10 -2.56035718e-08 + 12 0 1.10647186e-08 9.21330523e-09 -1.08882113e-10 -8.96565233e-09 + 13 0 3.17491652e-09 2.66389811e-09 -3.41612983e-11 -2.98655829e-09 + 14 0 9.38247292e-10 8.00874730e-10 -1.01732630e-11 -9.52603153e-10 + 15 0 2.79854834e-10 2.43517584e-10 -2.91735871e-12 -2.93050152e-10 + 16 0 8.31973379e-11 7.36493345e-11 -8.14541073e-13 -8.75460663e-11 + 17 0 2.44984415e-11 2.19830356e-11 -2.23533639e-13 -2.53710750e-11 + 18 0 7.12539056e-12 6.46107256e-12 -6.08215383e-14 -1.17616012e-11 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 6.7969E-01 6.5085E-01 -1.7406E+07 -5.2979E+05 -1.9998E+04 -7.3709E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.73315709e+00 0.00000000e+00 0.00000000e+00 2.07370129e+00 + 1 0 3.68479064e-01 3.73992027e-01 1.15341157e-03 -4.25955094e-01 + 2 0 6.07942896e-02 6.12602929e-02 1.33045407e-04 -2.46862902e-02 + 3 0 1.11564474e-02 1.12123212e-02 1.88294689e-05 -2.71339511e-03 + 4 0 2.14470263e-03 2.15419566e-03 2.99520816e-06 -3.64983337e-04 + 5 0 4.24027848e-04 4.24765189e-04 5.29941869e-07 -5.50937523e-05 + 6 0 8.55916012e-05 8.50000437e-05 9.22631445e-08 -9.25752113e-06 + 7 0 1.76320069e-05 1.71989677e-05 1.08884934e-08 -1.93562030e-06 + 8 0 3.73505190e-06 3.53902114e-06 -1.59353237e-09 -5.62210036e-07 + 9 0 8.26839111e-07 7.53786833e-07 -1.85081125e-09 -2.05156465e-07 + 10 0 1.95233218e-07 1.70907520e-07 -9.11111372e-10 -7.91982006e-08 + 11 0 4.98604772e-08 4.23439327e-08 -3.55968868e-10 -2.97340694e-08 + 12 0 1.37312480e-08 1.15285560e-08 -1.23415746e-10 -1.06248175e-08 + 13 0 3.99975888e-09 3.37850972e-09 -3.96493611e-11 -3.61469355e-09 + 14 0 1.20223120e-09 1.03166122e-09 -1.20768681e-11 -1.17802847e-09 + 15 0 3.65327241e-10 3.19272314e-10 -3.53950988e-12 -3.70378122e-10 + 16 0 1.10771770e-10 9.84266065e-11 -1.00931687e-12 -1.13103418e-10 + 17 0 3.32872549e-11 2.99751200e-11 -2.82679206e-13 -3.34994865e-11 + 18 0 9.88389318e-12 8.99266642e-12 -7.84316138e-14 -1.60084324e-11 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 6.9531E-01 6.3898E-01 -1.7405E+07 -5.3268E+05 -1.9999E+04 -7.3526E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.73055922e+00 0.00000000e+00 0.00000000e+00 2.07758905e+00 + 1 0 3.72132523e-01 3.77776057e-01 1.20441144e-03 -4.31191334e-01 + 2 0 6.26786421e-02 6.31691369e-02 1.40761070e-04 -2.59472224e-02 + 3 0 1.17561211e-02 1.18164608e-02 2.03571031e-05 -2.93079521e-03 + 4 0 2.31037819e-03 2.32081397e-03 3.31086289e-06 -4.03959565e-04 + 5 0 4.66928535e-04 4.67862998e-04 5.97224209e-07 -6.23545354e-05 + 6 0 9.63122174e-05 9.57312738e-05 1.07139855e-07 -1.06469891e-05 + 7 0 2.02599501e-05 1.98055413e-05 1.40707078e-08 -2.22244314e-06 + 8 0 4.37667755e-06 4.16455585e-06 -1.06160741e-09 -6.36774491e-07 + 9 0 9.85999805e-07 9.04950507e-07 -1.84801037e-09 -2.31754528e-07 + 10 0 2.36350144e-07 2.08726242e-07 -9.65909243e-10 -9.04707822e-08 + 11 0 6.11727527e-08 5.24422595e-08 -3.90444877e-10 -3.45807031e-08 + 12 0 1.70725646e-08 1.44567754e-08 -1.39078243e-10 -1.26126387e-08 + 13 0 5.04726503e-09 4.29324112e-09 -4.57799715e-11 -4.38413118e-09 + 14 0 1.54285253e-09 1.33135324e-09 -1.42675956e-11 -1.46043495e-09 + 15 0 4.77626546e-10 4.19333462e-10 -4.27479036e-12 -4.69438757e-10 + 16 0 1.47717493e-10 1.31781038e-10 -1.24524233e-12 -1.46576410e-10 + 17 0 4.53116988e-11 4.09514853e-11 -3.55999192e-13 -4.43837954e-11 + 18 0 1.37453174e-11 1.25440472e-11 -1.00738030e-13 -2.18693307e-11 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 7.1094E-01 6.2685E-01 -1.7406E+07 -5.3492E+05 -2.0000E+04 -7.3334E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.72787221e+00 0.00000000e+00 0.00000000e+00 2.08160804e+00 + 1 0 3.75693128e-01 3.81473099e-01 1.25733672e-03 -4.36376301e-01 + 2 0 6.46218977e-02 6.51386250e-02 1.48994570e-04 -2.72934084e-02 + 3 0 1.23922391e-02 1.24574790e-02 2.20263109e-05 -3.16930566e-03 + 4 0 2.49048924e-03 2.50197413e-03 3.66385557e-06 -4.47793856e-04 + 5 0 5.14671235e-04 5.15834869e-04 6.74056577e-07 -7.07135842e-05 + 6 0 1.08517549e-04 1.07956645e-04 1.24504240e-07 -1.22816985e-05 + 7 0 2.33185040e-05 2.28443343e-05 1.79304445e-08 -2.56396829e-06 + 8 0 5.13911918e-06 4.91045057e-06 -3.43809354e-10 -7.24761623e-07 + 9 0 1.17869644e-06 1.08904672e-06 -1.79840859e-09 -2.62681405e-07 + 10 0 2.86927173e-07 2.55639046e-07 -1.01170472e-09 -1.03602408e-07 + 11 0 7.52746303e-08 6.51571709e-08 -4.24619700e-10 -4.03127122e-08 + 12 0 2.12900742e-08 1.81899664e-08 -1.55627094e-10 -1.50122233e-08 + 13 0 6.38759680e-09 5.47405096e-09 -5.25278757e-11 -5.33373226e-09 + 14 0 1.98566688e-09 1.72383657e-09 -1.67581554e-11 -1.81689716e-09 + 15 0 6.26296327e-10 5.52603363e-10 -5.13457393e-12 -5.97328533e-10 + 16 0 1.97608253e-10 1.77053306e-10 -1.52827896e-12 -1.90769922e-10 + 17 0 6.18863433e-11 5.61562188e-11 -4.46078035e-13 -5.90759850e-11 + 18 0 1.91712089e-11 1.75669386e-11 -1.28765633e-13 -3.00110198e-11 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 7.2656E-01 6.1443E-01 -1.7407E+07 -5.3650E+05 -2.0000E+04 -7.3132E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.72508711e+00 0.00000000e+00 0.00000000e+00 2.08576976e+00 + 1 0 3.79157880e-01 3.85080601e-01 1.31232788e-03 -4.41509797e-01 + 2 0 6.66298749e-02 6.71747660e-02 1.57799437e-04 -2.87337880e-02 + 3 0 1.30686381e-02 1.31392706e-02 2.38549137e-05 -3.43168915e-03 + 4 0 2.68682706e-03 2.69948212e-03 4.05978433e-06 -4.97251186e-04 + 5 0 5.67964990e-04 5.69393781e-04 7.62071872e-07 -8.03743184e-05 + 6 0 1.22460081e-04 1.21929964e-04 1.44808528e-07 -1.42138107e-05 + 7 0 2.68910621e-05 2.63991769e-05 2.25936485e-08 -2.97307830e-06 + 8 0 6.04847646e-06 5.80289371e-06 5.96967207e-10 -8.29392134e-07 + 9 0 1.41283590e-06 1.31396271e-06 -1.69050876e-09 -2.98895227e-07 + 10 0 3.49346269e-07 3.13994517e-07 -1.04497994e-09 -1.18985089e-07 + 11 0 9.29037203e-08 8.12036511e-08 -4.57521195e-10 -4.71269325e-08 + 12 0 2.66258452e-08 2.29584700e-08 -1.72853004e-10 -1.79246235e-08 + 13 0 8.10596846e-09 7.00090095e-09 -5.98774191e-11 -6.51260823e-09 + 14 0 2.56243672e-09 2.23873140e-09 -1.95651468e-11 -2.26970921e-09 + 15 0 8.23530438e-10 7.30467038e-10 -6.13216595e-12 -7.63554906e-10 + 16 0 2.65144982e-10 2.38655499e-10 -1.86536933e-12 -2.49527689e-10 + 17 0 8.48055289e-11 7.72789254e-11 -5.55979438e-13 -7.90519508e-11 + 18 0 2.68491011e-11 2.46967570e-11 -1.63739538e-13 -4.14219788e-11 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 7.4219E-01 6.0174E-01 -1.7408E+07 -5.3740E+05 -2.0001E+04 -7.2919E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.72219382e+00 0.00000000e+00 0.00000000e+00 2.09008721e+00 + 1 0 3.82523020e-01 3.88595257e-01 1.36954086e-03 -4.46591147e-01 + 2 0 6.87090740e-02 6.92842678e-02 1.67236593e-04 -3.02784560e-02 + 3 0 1.37897000e-02 1.38662831e-02 2.58634604e-05 -3.72116574e-03 + 4 0 2.90147111e-03 2.91543771e-03 4.50519112e-06 -5.53241121e-04 + 5 0 6.27646221e-04 6.29383802e-04 8.63293106e-07 -9.15796598e-05 + 6 0 1.38444248e-04 1.37958974e-04 1.68683521e-07 -1.65067146e-05 + 7 0 3.10813622e-05 3.05751553e-05 2.82672081e-08 -3.46641167e-06 + 8 0 7.13860665e-06 6.87619999e-06 1.83269949e-09 -9.55347826e-07 + 9 0 1.69922283e-06 1.59061715e-06 -1.49861615e-09 -3.41972625e-07 + 10 0 4.27057049e-07 3.87252361e-07 -1.05674000e-09 -1.37284373e-07 + 11 0 1.15189208e-07 1.01700756e-07 -4.86169338e-10 -5.53439094e-08 + 12 0 3.34662564e-08 2.91399637e-08 -1.89845954e-10 -2.15070587e-08 + 13 0 1.03413878e-08 9.00805763e-09 -6.75800071e-11 -7.99505380e-09 + 14 0 3.32522626e-09 2.92595262e-09 -2.26314425e-11 -2.85219142e-09 + 15 0 1.08925088e-09 9.71978839e-10 -7.25870453e-12 -9.82304002e-10 + 16 0 3.57992691e-10 3.23911285e-10 -2.25716065e-12 -3.28628682e-10 + 17 0 1.16998114e-10 1.07117311e-10 -6.87080296e-13 -1.06565494e-10 + 18 0 3.78665693e-11 3.49857354e-11 -2.06474109e-13 -5.76040591e-11 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 7.5781E-01 5.8877E-01 -1.7409E+07 -5.3762E+05 -2.0002E+04 -7.2695E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.71918090e+00 0.00000000e+00 0.00000000e+00 2.09457507e+00 + 1 0 3.85783923e-01 3.92012874e-01 1.42914915e-03 -4.51619120e-01 + 2 0 7.08667654e-02 7.14746446e-02 1.77375436e-04 -3.19388389e-02 + 3 0 1.45604368e-02 1.46436092e-02 2.80761348e-05 -4.04148925e-03 + 4 0 3.13685437e-03 3.15229445e-03 5.00802358e-06 -6.16857100e-04 + 5 0 6.94717020e-04 6.96812242e-04 9.80128863e-07 -1.04635093e-04 + 6 0 1.56841381e-04 1.56416734e-04 1.96814402e-07 -1.92423337e-05 + 7 0 3.60169696e-05 3.55004955e-05 3.51446052e-08 -4.06505588e-06 + 8 0 8.45100476e-06 8.17207359e-06 3.42139570e-09 -1.10810081e-06 + 9 0 2.05090895e-06 1.93209328e-06 -1.20375070e-09 -3.93580387e-07 + 10 0 5.24134957e-07 4.79470742e-07 -1.04044900e-09 -1.59188536e-07 + 11 0 1.43436304e-07 1.27933886e-07 -5.08337944e-10 -6.53141518e-08 + 12 0 4.22535250e-08 3.71642242e-08 -2.05893785e-10 -2.59440003e-08 + 13 0 1.32545599e-08 1.16499706e-08 -7.54307221e-11 -9.87354828e-09 + 14 0 4.33598869e-09 3.84467813e-09 -2.59073241e-11 -3.60778170e-09 + 15 0 1.44813725e-09 1.30068518e-09 -8.50591241e-12 -1.27277763e-09 + 16 0 4.86037384e-10 4.42288197e-10 -2.70408206e-12 -4.36118053e-10 + 17 0 1.62380474e-10 1.49441608e-10 -8.40643989e-13 -1.44825699e-10 + 18 0 5.37515726e-11 4.99075072e-11 -2.57754272e-13 -8.07833218e-11 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 7.7344E-01 5.7553E-01 -1.7411E+07 -5.3713E+05 -2.0003E+04 -7.2459E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.71603541e+00 0.00000000e+00 0.00000000e+00 2.09925004e+00 + 1 0 3.88934938e-01 3.95328233e-01 1.49134590e-03 -4.56591818e-01 + 2 0 7.31111012e-02 7.37543098e-02 1.88295957e-04 -3.37279078e-02 + 3 0 1.53866167e-02 1.54771069e-02 3.05209880e-05 -4.39708390e-03 + 4 0 3.39582511e-03 3.41292899e-03 5.57762772e-06 -6.89411911e-04 + 5 0 7.70370720e-04 7.72882869e-04 1.11557872e-06 -1.19909480e-04 + 6 0 1.78103904e-04 1.77760286e-04 2.30157622e-07 -2.25214548e-05 + 7 0 4.18582847e-05 4.13376514e-05 4.35431834e-08 -4.79648079e-06 + 8 0 1.00400427e-05 9.74569885e-06 5.47557231e-09 -1.29560662e-06 + 9 0 2.48588030e-06 2.35664726e-06 -7.63911601e-10 -4.56456172e-07 + 10 0 6.46521500e-07 5.96660636e-07 -9.80222561e-10 -1.85878367e-07 + 11 0 1.79654983e-07 1.61922239e-07 -5.18143623e-10 -7.76220217e-08 + 12 0 5.36986461e-08 4.77387128e-08 -2.18904367e-10 -3.15313856e-08 + 13 0 1.71104257e-08 1.51877788e-08 -8.27218745e-11 -1.22928435e-08 + 14 0 5.69779221e-09 5.09578499e-09 -2.91659818e-11 -4.60374831e-09 + 15 0 1.94129357e-09 1.75664720e-09 -9.80509912e-12 -1.66469470e-09 + 16 0 6.65777294e-10 6.09831738e-10 -3.18655819e-12 -5.84548555e-10 + 17 0 2.27523987e-10 2.10640344e-10 -1.01147610e-12 -1.98903006e-10 + 18 0 7.70780505e-11 7.19696566e-11 -3.16327818e-13 -1.14526932e-10 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 7.8906E-01 5.6201E-01 -1.7414E+07 -5.3594E+05 -2.0004E+04 -7.2208E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.71274260e+00 0.00000000e+00 0.00000000e+00 2.10413115e+00 + 1 0 3.91969242e-01 3.98534867e-01 1.55634652e-03 -4.61506582e-01 + 2 0 7.54512235e-02 7.61327211e-02 2.00089389e-04 -3.56604250e-02 + 3 0 1.62748655e-02 1.63735130e-02 3.32314268e-05 -4.79313669e-03 + 4 0 3.68174201e-03 3.70073101e-03 6.22544709e-06 -7.72502422e-04 + 5 0 8.56049717e-04 8.59047469e-04 1.27329956e-06 -1.37868587e-04 + 6 0 2.02789819e-04 2.02551536e-04 2.69835881e-07 -2.64742851e-05 + 7 0 4.88060764e-05 4.82892664e-05 5.38147734e-08 -5.69616665e-06 + 8 0 1.19744345e-05 1.16666228e-05 8.11489955e-09 -1.52791636e-06 + 9 0 3.02699809e-06 2.88745735e-06 -1.34295398e-10 -5.33988899e-07 + 10 0 8.01800931e-07 7.46505727e-07 -8.58317120e-10 -2.18833916e-07 + 11 0 2.26428096e-07 2.06271791e-07 -5.08518004e-10 -9.30273483e-08 + 12 0 6.87274706e-08 6.17910853e-08 -2.26134091e-10 -3.86691674e-08 + 13 0 2.22615825e-08 1.99720370e-08 -8.84294050e-11 -1.54551570e-08 + 14 0 7.55178606e-09 6.81871518e-09 -3.20407382e-11 -5.93673736e-09 + 15 0 2.62679722e-09 2.39702672e-09 -1.10299913e-11 -2.20179376e-09 + 16 0 9.21260356e-10 8.50165688e-10 -3.66258826e-12 -7.92795885e-10 + 17 0 3.22293810e-10 3.00402815e-10 -1.18602066e-12 -2.76585571e-10 + 18 0 1.11839220e-10 1.05082172e-10 -3.77928946e-13 -1.64462775e-10 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 8.0469E-01 5.4822E-01 -1.7416E+07 -5.3402E+05 -2.0005E+04 -7.1943E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.70928567e+00 0.00000000e+00 0.00000000e+00 2.10924014e+00 + 1 0 3.94878604e-01 4.01624864e-01 1.62438959e-03 -4.66359798e-01 + 2 0 7.78973773e-02 7.86204566e-02 2.12861888e-04 -3.77531925e-02 + 3 0 1.72328492e-02 1.73406213e-02 3.62464631e-05 -5.23581749e-03 + 4 0 3.99856928e-03 4.01970387e-03 6.96516801e-06 -8.68064293e-04 + 5 0 9.53493108e-04 9.57058233e-04 1.45783304e-06 -1.59088742e-04 + 6 0 2.31588116e-04 2.31485272e-04 3.17309463e-07 -3.12662036e-05 + 7 0 5.71147173e-05 5.66126231e-05 6.64401866e-08 -6.81071715e-06 + 8 0 1.43436458e-05 1.40256915e-05 1.15107341e-08 -1.81880678e-06 + 9 0 3.70488295e-06 3.55572843e-06 7.52027412e-10 -6.31026467e-07 + 10 0 1.00042895e-06 9.39680610e-07 -6.47082657e-10 -2.60227507e-07 + 11 0 2.87418438e-07 2.64717706e-07 -4.67918806e-10 -1.12657745e-07 + 12 0 8.86878800e-08 8.06899484e-08 -2.22856544e-10 -4.79559433e-08 + 13 0 2.92335041e-08 2.65330126e-08 -9.06785533e-11 -1.96664122e-08 + 14 0 1.01127730e-08 9.22890691e-09 -3.38129985e-11 -7.75491727e-09 + 15 0 3.59481334e-09 3.31181837e-09 -1.19137818e-11 -2.95217674e-09 + 16 0 1.29054067e-09 1.20116514e-09 -4.03580509e-12 -1.09072703e-09 + 17 0 4.62625291e-10 4.34553549e-10 -1.33025826e-12 -3.90434875e-10 + 18 0 1.64586605e-10 1.55755215e-10 -4.30756094e-13 -2.39836110e-10 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 8.2031E-01 5.3415E-01 -1.7419E+07 -5.3136E+05 -2.0006E+04 -7.1661E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.70564534e+00 0.00000000e+00 0.00000000e+00 2.11460210e+00 + 1 0 3.97653123e-01 4.04588476e-01 1.69574542e-03 -4.71146718e-01 + 2 0 8.04611383e-02 8.12294962e-02 2.26735604e-04 -4.00255167e-02 + 3 0 1.82694499e-02 1.83874677e-02 3.96130060e-05 -5.73243590e-03 + 4 0 4.35102734e-03 4.37461424e-03 7.81359574e-06 -9.78481618e-04 + 5 0 1.06482237e-03 1.06905274e-03 1.67483618e-06 -1.84298813e-04 + 6 0 2.65358007e-04 2.65428686e-04 3.74437656e-07 -3.71099217e-05 + 7 0 6.71084733e-05 6.66364670e-05 8.20565031e-08 -8.20126328e-06 + 8 0 1.72644848e-05 1.69420576e-05 1.59040541e-08 -2.18706993e-06 + 9 0 4.56063437e-06 4.40365830e-06 1.99586063e-09 -7.54596253e-07 + 10 0 1.25690180e-06 1.19114632e-06 -3.02030490e-10 -3.13377797e-07 + 11 0 3.67893266e-07 3.42707777e-07 -3.76618765e-10 -1.38283164e-07 + 12 0 1.15592636e-07 1.06513284e-07 -2.00524274e-10 -6.03433760e-08 + 13 0 3.88387184e-08 3.57053744e-08 -8.58876934e-11 -2.54174440e-08 + 14 0 1.37229245e-08 1.26756532e-08 -3.30328448e-11 -1.02983208e-08 + 15 0 4.99259121e-09 4.65044308e-09 -1.18877706e-11 -4.02740601e-09 + 16 0 1.83717642e-09 1.72699951e-09 -4.08914653e-12 -1.52793350e-09 + 17 0 6.75660109e-10 6.40404824e-10 -1.36321695e-12 -5.61608134e-10 + 18 0 2.46741381e-10 2.35435264e-10 -4.45119890e-13 -3.56535266e-10 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 8.3594E-01 5.1980E-01 -1.7423E+07 -5.2797E+05 -2.0007E+04 -7.1362E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.70179958e+00 0.00000000e+00 0.00000000e+00 2.12024580e+00 + 1 0 4.00280942e-01 4.07413855e-01 1.77070932e-03 -4.75861213e-01 + 2 0 8.31554140e-02 8.39731698e-02 2.41852884e-04 -4.24993808e-02 + 3 0 1.93949630e-02 1.95245353e-02 4.33861876e-05 -6.29173701e-03 + 4 0 4.74472339e-03 4.77112730e-03 8.79125729e-06 -1.10666920e-03 + 5 0 1.19262660e-03 1.19763822e-03 1.93144698e-06 -2.14420970e-04 + 6 0 3.05176927e-04 3.05467525e-04 4.43583507e-07 -4.42843531e-05 + 7 0 7.92039316e-05 7.87823040e-05 1.01456683e-07 -9.94982567e-06 + 8 0 2.08899952e-05 2.05716075e-05 2.15870638e-08 -2.65800613e-06 + 9 0 5.64891312e-06 5.48738619e-06 3.71976932e-09 -9.14135845e-07 + 10 0 1.59072994e-06 1.52110820e-06 2.33100291e-10 -3.82817913e-07 + 11 0 4.75031230e-07 4.47721384e-07 -2.08108684e-10 -1.72405062e-07 + 12 0 1.52233584e-07 1.42174962e-07 -1.46845014e-10 -7.72266400e-08 + 13 0 5.22327095e-08 4.86916994e-08 -6.85439162e-11 -3.34523205e-08 + 14 0 1.88841266e-08 1.76783266e-08 -2.73174699e-11 -1.39418361e-08 + 15 0 7.04351795e-09 6.64259624e-09 -9.95716835e-12 -5.60647804e-09 + 16 0 2.66087665e-09 2.52960914e-09 -3.41978202e-12 -2.18594874e-09 + 17 0 1.00542171e-09 9.62737478e-10 -1.12595153e-12 -8.25782688e-10 + 18 0 3.77378876e-10 3.63470811e-10 -3.59509950e-13 -5.41985463e-10 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 8.5156E-01 5.0518E-01 -1.7427E+07 -5.2383E+05 -2.0008E+04 -7.1042E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.69772283e+00 0.00000000e+00 0.00000000e+00 2.12620476e+00 + 1 0 4.02747768e-01 4.10086385e-01 1.84962084e-03 -4.80495408e-01 + 2 0 8.59948470e-02 8.68666744e-02 2.58379320e-04 -4.52002390e-02 + 3 0 2.06214172e-02 2.07640704e-02 4.76339369e-05 -6.92418624e-03 + 4 0 5.18642731e-03 5.21607476e-03 9.92359815e-06 -1.25629549e-03 + 5 0 1.34010824e-03 1.34603945e-03 2.23652032e-06 -2.50639519e-04 + 6 0 3.52404724e-04 3.52975473e-04 5.27769096e-07 -5.31485018e-05 + 7 0 9.39383542e-05 9.35969964e-05 1.25742827e-07 -1.21634877e-05 + 8 0 2.54230874e-05 2.51231833e-05 2.90197327e-08 -3.26690205e-06 + 9 0 7.04495947e-06 6.88537867e-06 6.14062713e-09 -1.12445855e-06 + 10 0 2.03012269e-06 1.95936101e-06 1.06610762e-09 -4.76368590e-07 + 11 0 6.19832519e-07 5.91479913e-07 9.09404797e-11 -2.19511139e-07 + 12 0 2.03148225e-07 1.92521717e-07 -3.62614614e-11 -1.01134264e-07 + 13 0 7.13906060e-08 6.75938173e-08 -2.68730739e-11 -4.51229042e-08 + 14 0 2.64875212e-08 2.51781667e-08 -1.14479753e-11 -1.93685687e-08 + 15 0 1.01552568e-08 9.71521666e-09 -3.88762797e-12 -8.01731918e-09 + 16 0 3.94746427e-09 3.80206685e-09 -1.09943962e-12 -3.21538603e-09 + 17 0 1.53538959e-09 1.48772296e-09 -2.42513434e-13 -1.24960694e-09 + 18 0 5.93366670e-10 5.77678190e-10 -2.44893793e-14 -8.48157655e-10 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 8.6719E-01 4.9029E-01 -1.7431E+07 -5.1895E+05 -2.0010E+04 -7.0700E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.69338592e+00 0.00000000e+00 0.00000000e+00 2.13251756e+00 + 1 0 4.05036451e-01 4.12588404e-01 1.93284308e-03 -4.85039257e-01 + 2 0 8.89956439e-02 8.99266522e-02 2.76511988e-04 -4.81570430e-02 + 3 0 2.19628473e-02 2.21204028e-02 5.24340458e-05 -7.64252009e-03 + 4 0 5.68418729e-03 5.71760707e-03 1.12420817e-05 -1.43181048e-03 + 5 0 1.51120433e-03 1.51822127e-03 2.60190927e-06 -2.94464290e-04 + 6 0 4.08779549e-04 4.09700826e-04 6.31084408e-07 -6.41943872e-05 + 7 0 1.12021356e-04 1.11796804e-04 1.56273348e-07 -1.49952465e-05 + 8 0 3.11368462e-05 3.08747054e-05 3.86849328e-08 -4.06228603e-06 + 9 0 8.85009768e-06 8.70207572e-06 9.46278431e-09 -1.40408329e-06 + 10 0 2.61245644e-06 2.54504953e-06 2.29915303e-09 -6.03436011e-07 + 11 0 8.16538345e-07 7.89133646e-07 5.75187441e-10 -2.85213364e-07 + 12 0 2.74134694e-07 2.63785391e-07 1.60188597e-10 -1.35442382e-07 + 13 0 9.88615949e-08 9.51563882e-08 5.38551748e-11 -6.23543563e-08 + 14 0 3.77215339e-08 3.64479439e-08 2.17221684e-11 -2.76079348e-08 + 15 0 1.48973537e-08 1.44730075e-08 9.63823620e-12 -1.17788327e-08 + 16 0 5.97017565e-09 5.83188510e-09 4.35360380e-12 -4.86487879e-09 + 17 0 2.39469106e-09 2.35015590e-09 1.92760112e-12 -1.94753995e-09 + 18 0 9.54543552e-10 9.40094815e-10 8.30540254e-13 -1.36754922e-09 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 8.8281E-01 4.7511E-01 -1.7435E+07 -5.1331E+05 -2.0010E+04 -7.0333E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.68875446e+00 0.00000000e+00 0.00000000e+00 2.13922996e+00 + 1 0 4.07126314e-01 4.14897698e-01 2.02081013e-03 -4.89480114e-01 + 2 0 9.21763371e-02 9.31725273e-02 2.96474300e-04 -5.14037815e-02 + 3 0 2.34356641e-02 2.36102257e-02 5.78891137e-05 -8.46186810e-03 + 4 0 6.24793829e-03 6.28571899e-03 1.27860348e-05 -1.63909295e-03 + 5 0 1.71087436e-03 1.71917655e-03 3.04139085e-06 -3.47880664e-04 + 6 0 4.76502961e-04 4.77880772e-04 7.58536558e-07 -7.80257595e-05 + 7 0 1.34363405e-04 1.34322457e-04 1.95201128e-07 -1.86287338e-05 + 8 0 3.83952798e-05 3.82107681e-05 5.16963765e-08 -5.11353834e-06 + 9 0 1.12100823e-05 1.10952860e-05 1.43133768e-08 -1.78985405e-06 + 10 0 3.39813021e-06 3.34493689e-06 4.28401543e-09 -7.87238370e-07 + 11 0 1.09160235e-06 1.07025360e-06 1.43399816e-09 -3.84092964e-07 + 12 0 3.77445798e-07 3.69661956e-07 5.39539248e-10 -1.88758433e-07 + 13 0 1.40545336e-07 1.37918531e-07 2.21091520e-10 -8.98945521e-08 + 14 0 5.54725200e-08 5.46476804e-08 9.44583281e-11 -4.11257030e-08 + 15 0 2.26780138e-08 2.24380982e-08 4.07034475e-11 -1.81080056e-08 + 16 0 9.40618499e-09 9.34260622e-09 1.73698475e-11 -7.71006128e-09 + 17 0 3.90234993e-09 3.88762544e-09 7.28224792e-12 -3.18315454e-09 + 18 0 1.60855003e-09 1.60553403e-09 3.00540439e-12 -2.31266317e-09 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 8.9844E-01 4.5966E-01 -1.7439E+07 -5.0693E+05 -2.0013E+04 -6.9939E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.68378943e+00 0.00000000e+00 0.00000000e+00 2.14639428e+00 + 1 0 4.08992349e-01 4.16987806e-01 2.11396046e-03 -4.93801681e-01 + 2 0 9.55569920e-02 9.66246235e-02 3.18546129e-04 -5.49786843e-02 + 3 0 2.50592055e-02 2.52533950e-02 6.41092836e-05 -9.40121594e-03 + 4 0 6.88939368e-03 6.93232237e-03 1.46053711e-05 -1.88504828e-03 + 5 0 1.94525788e-03 1.95507574e-03 3.57568085e-06 -4.13455815e-04 + 6 0 5.58483769e-04 5.60418434e-04 9.17361616e-07 -9.55658595e-05 + 7 0 1.62224242e-04 1.62431065e-04 2.44644265e-07 -2.33667153e-05 + 8 0 4.77030969e-05 4.76389632e-05 6.86126545e-08 -6.51434447e-06 + 9 0 1.43157163e-05 1.42602510e-05 2.08767525e-08 -2.31535426e-06 + 10 0 4.45758561e-06 4.43313858e-06 7.12905566e-09 -1.04559420e-06 + 11 0 1.47184996e-06 1.46405851e-06 2.74840270e-09 -5.28329226e-07 + 12 0 5.24298292e-07 5.22728999e-07 1.15869573e-09 -2.69459431e-07 + 13 0 2.01737354e-07 2.01883095e-07 5.10608169e-10 -1.33071122e-07 + 14 0 8.24785158e-08 8.28601955e-08 2.27205810e-10 -6.30370004e-08 + 15 0 3.49648695e-08 3.52383061e-08 1.00149728e-10 -2.86993285e-08 + 16 0 1.50381728e-08 1.51886715e-08 4.33708647e-11 -1.26195510e-08 + 17 0 6.46514093e-09 6.53818153e-09 1.84088046e-11 -5.38343534e-09 + 18 0 2.76232579e-09 2.79368451e-09 7.70283787e-12 -4.04988944e-09 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 9.1406E-01 4.4394E-01 -1.7444E+07 -4.9982E+05 -2.0013E+04 -6.9513E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.67844380e+00 0.00000000e+00 0.00000000e+00 2.15407422e+00 + 1 0 4.10604359e-01 4.18824332e-01 2.21285873e-03 -4.97983778e-01 + 2 0 9.91609410e-02 1.00307755e-01 3.43030057e-04 -5.89276674e-02 + 3 0 2.68559930e-02 2.70728461e-02 7.12523154e-05 -1.04827321e-02 + 4 0 7.62339419e-03 7.67228912e-03 1.67636426e-05 -2.17933744e-03 + 5 0 2.22226076e-03 2.23385834e-03 4.22730701e-06 -4.94667888e-04 + 6 0 6.58418382e-04 6.61083815e-04 1.11599418e-06 -1.17882697e-04 + 7 0 1.97205488e-04 1.97801417e-04 3.08651147e-07 -2.95309287e-05 + 8 0 5.97337164e-05 5.98916991e-05 9.18892241e-08 -8.39962066e-06 + 9 0 1.84546528e-05 1.85224792e-05 3.07461846e-08 -3.06977709e-06 + 10 0 5.92075130e-06 5.96129954e-06 1.18340326e-08 -1.44524082e-06 + 11 0 2.02044943e-06 2.04523213e-06 5.10877142e-09 -7.64669114e-07 + 12 0 7.47339138e-07 7.61392194e-07 2.34591917e-09 -4.07352961e-07 + 13 0 2.99855299e-07 3.07219467e-07 1.09553573e-09 -2.09386517e-07 + 14 0 1.28070434e-07 1.31684527e-07 5.07264460e-10 -1.02950997e-07 + 15 0 5.66879517e-08 5.83713123e-08 2.30358397e-10 -4.85487115e-08 + 16 0 2.54121447e-08 2.61643478e-08 1.02285488e-10 -2.20779954e-08 + 17 0 1.13633207e-08 1.16889292e-08 4.44281629e-11 -9.74739162e-09 + 18 0 5.05157207e-09 5.18304228e-09 1.90536526e-11 -7.59530392e-09 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 9.2969E-01 4.2794E-01 -1.7449E+07 -4.9198E+05 -2.0018E+04 -6.9052E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.67266507e+00 0.00000000e+00 0.00000000e+00 2.16234162e+00 + 1 0 4.11925397e-01 4.20367244e-01 2.31801892e-03 -5.01999832e-01 + 2 0 1.03012159e-01 1.04245753e-01 3.70333308e-04 -6.33009279e-02 + 3 0 2.88529283e-02 2.90962847e-02 7.94811003e-05 -1.17353233e-02 + 4 0 8.46738140e-03 8.52340801e-03 1.93402450e-05 -2.53320203e-03 + 5 0 2.55168093e-03 2.56536916e-03 5.03216946e-06 -5.96000019e-04 + 6 0 7.81283401e-04 7.84836474e-04 1.36787533e-06 -1.46688563e-04 + 7 0 2.41604891e-04 2.42728887e-04 3.91381308e-07 -3.77046893e-05 + 8 0 7.54613838e-05 7.59573634e-05 1.22724517e-07 -1.09575744e-05 + 9 0 2.40148917e-05 2.42883818e-05 4.44207841e-08 -4.13114669e-06 + 10 0 7.93927359e-06 8.09639456e-06 1.87674529e-08 -2.03828193e-06 + 11 0 2.79990097e-06 2.88667470e-06 8.81987341e-09 -1.13467564e-06 + 12 0 1.07580637e-06 1.12112526e-06 4.32844128e-09 -6.33682240e-07 + 13 0 4.50611717e-07 4.73075720e-07 2.12674283e-09 -3.40031972e-07 + 14 0 2.01404922e-07 2.12056289e-07 1.02582344e-09 -1.73978445e-07 + 15 0 9.32689387e-08 9.81375024e-08 4.82555056e-10 -8.51829862e-08 + 16 0 4.36700845e-08 4.58301048e-08 2.21284368e-10 -4.01554117e-08 + 17 0 2.03506846e-08 2.12884134e-08 9.90932099e-11 -1.83924916e-08 + 18 0 9.45281484e-09 9.82704381e-09 4.39548725e-11 -1.48715312e-08 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 9.4531E-01 4.1166E-01 -1.7454E+07 -4.8345E+05 -2.0018E+04 -6.8550E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.66638842e+00 0.00000000e+00 0.00000000e+00 2.17128626e+00 + 1 0 4.12910711e-01 4.21562705e-01 2.43016509e-03 -5.05817165e-01 + 2 0 1.07139186e-01 1.08469111e-01 4.00878443e-04 -6.81605023e-02 + 3 0 3.10810419e-02 3.13556069e-02 8.90328253e-05 -1.31922680e-02 + 4 0 9.44363069e-03 9.50800798e-03 2.24429195e-05 -2.96254170e-03 + 5 0 2.94644510e-03 2.96250297e-03 6.03173424e-06 -7.23829941e-04 + 6 0 9.33603216e-04 9.38267166e-04 1.68810936e-06 -1.84102296e-04 + 7 0 2.98418002e-04 3.00332586e-04 4.99362798e-07 -4.85162438e-05 + 8 0 9.61896081e-05 9.72612189e-05 1.65083930e-07 -1.44338637e-05 + 9 0 3.15624081e-05 3.22167777e-05 6.48086092e-08 -5.68120761e-06 + 10 0 1.07741114e-05 1.11605255e-05 3.00553863e-08 -2.98820502e-06 + 11 0 3.94390821e-06 4.15861964e-06 1.53328330e-08 -1.77185461e-06 + 12 0 1.58537370e-06 1.69794039e-06 8.02556957e-09 -1.04477010e-06 + 13 0 6.99201097e-07 7.55375286e-07 4.14962992e-09 -5.87793503e-07 + 14 0 3.29687433e-07 3.56604377e-07 2.08907416e-09 -3.13918113e-07 + 15 0 1.60768482e-07 1.73247193e-07 1.02089399e-09 -1.59970653e-07 + 16 0 7.90034024e-08 8.46371482e-08 4.85062675e-10 -7.83411515e-08 + 17 0 3.84968028e-08 4.09978712e-08 2.24652208e-10 -3.73052700e-08 + 18 0 1.88248891e-08 1.97989663e-08 1.03733869e-10 -3.13709396e-08 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 9.6094E-01 3.9511E-01 -1.7459E+07 -4.7426E+05 -2.0023E+04 -6.8003E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.65954188e+00 0.00000000e+00 0.00000000e+00 2.18100921e+00 + 1 0 4.13505176e-01 4.22347967e-01 2.54991512e-03 -5.09392481e-01 + 2 0 1.11569447e-01 1.13004905e-01 4.35244091e-04 -7.35726820e-02 + 3 0 3.35774740e-02 3.38891878e-02 1.00166123e-04 -1.48973442e-02 + 4 0 1.05787406e-02 1.06531618e-02 2.62033736e-05 -3.48677012e-03 + 5 0 3.42271289e-03 3.44143618e-03 7.28799203e-06 -8.86483818e-04 + 6 0 1.12415443e-03 1.13012738e-03 2.10126463e-06 -2.33333416e-04 + 7 0 3.71945950e-04 3.74960998e-04 6.41195554e-07 -6.30159637e-05 + 8 0 1.23847673e-04 1.25825492e-04 2.22397756e-07 -1.91704594e-05 + 9 0 4.19146978e-05 4.32207640e-05 9.40912785e-08 -7.91578094e-06 + 10 0 1.47736825e-05 1.55780111e-05 4.75326215e-08 -4.48236197e-06 + 11 0 5.61643136e-06 6.07695012e-06 2.61585399e-08 -2.85242922e-06 + 12 0 2.36677387e-06 2.61472625e-06 1.45631161e-08 -1.78453113e-06 + 13 0 1.10269817e-06 1.22971766e-06 7.92649671e-09 -1.05645457e-06 + 14 0 5.50487342e-07 6.12996454e-07 4.17409966e-09 -5.90723326e-07 + 15 0 2.83593000e-07 3.13378756e-07 2.12561481e-09 -3.14184596e-07 + 16 0 1.46685806e-07 1.60518062e-07 1.05005685e-09 -1.60278332e-07 + 17 0 7.48782739e-08 8.12290360e-08 5.04483382e-10 -7.95170468e-08 + 18 0 3.90774030e-08 4.13499420e-08 2.45061594e-10 -6.99034885e-08 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 9.7656E-01 3.7828E-01 -1.7465E+07 -4.6445E+05 -2.0027E+04 -6.7404E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.65203652e+00 0.00000000e+00 0.00000000e+00 2.19163728e+00 + 1 0 4.13641276e-01 4.22638661e-01 2.67814021e-03 -5.12671411e-01 + 2 0 1.16334962e-01 1.17886537e-01 4.74054463e-04 -7.96194263e-02 + 3 0 3.63850496e-02 3.67417393e-02 1.13230600e-04 -1.69019986e-02 + 4 0 1.19061620e-02 1.19926355e-02 3.08051826e-05 -4.13237711e-03 + 5 0 4.00192769e-03 4.02340642e-03 8.88292246e-06 -1.09605365e-03 + 6 0 1.36489613e-03 1.37229573e-03 2.63804984e-06 -2.98877933e-04 + 7 0 4.68130906e-04 4.72683441e-04 8.27786162e-07 -8.24990579e-05 + 8 0 1.61131128e-04 1.64571207e-04 3.00125364e-07 -2.55482848e-05 + 9 0 5.62376273e-05 5.86904760e-05 1.36776284e-07 -1.11407330e-05 + 10 0 2.04601815e-05 2.20479396e-05 7.53486262e-08 -6.89892148e-06 + 11 0 8.08726732e-06 9.03342261e-06 4.47836906e-08 -4.76516485e-06 + 12 0 3.58710923e-06 4.11535688e-06 2.65659510e-08 -3.18430921e-06 + 13 0 1.77639127e-06 2.05658413e-06 1.52593324e-08 -1.99270995e-06 + 14 0 9.44742524e-07 1.08742785e-06 8.42996137e-09 -1.17080714e-06 + 15 0 5.16844673e-07 5.87182748e-07 4.48717317e-09 -6.51959378e-07 + 16 0 2.82575458e-07 3.16352742e-07 2.31182289e-09 -3.47504461e-07 + 17 0 1.51331072e-07 1.67548669e-07 1.15421088e-09 -1.79774708e-07 + 18 0 8.68633983e-08 9.12269315e-08 6.00669474e-10 -1.66865083e-07 + s iota curr_pol/nper curr_tor pprime sqrt g(0,0) + [A] [A] dp/ds,[Pa] (dV/ds)/nper + 9.9219E-01 3.6117E-01 -1.7470E+07 -4.5408E+05 0.0000E+00 -6.6746E+00 + m n r/[m] z/[m] (phib-phi)*nper/twopi bmn/[T] + 0 0 1.64377199e+00 0.00000000e+00 0.00000000e+00 2.20331627e+00 + 1 0 4.13235684e-01 4.22332989e-01 2.81561259e-03 -5.15582485e-01 + 2 0 1.21464376e-01 1.23141887e-01 5.18121482e-04 -8.63886835e-02 + 3 0 3.95540665e-02 3.99660445e-02 1.28642748e-04 -1.92719217e-02 + 4 0 1.34666024e-02 1.35678959e-02 3.64802855e-05 -4.93365617e-03 + 5 0 4.71150669e-03 4.73555984e-03 1.09327359e-05 -1.36922611e-03 + 6 0 1.67209430e-03 1.68077882e-03 3.34549700e-06 -3.87412821e-04 + 7 0 5.95517602e-04 6.02102623e-04 1.07487102e-06 -1.08869347e-04 + 8 0 2.12052199e-04 2.17789902e-04 4.04458563e-07 -3.39550572e-05 + 9 0 7.62653561e-05 8.07007387e-05 1.97891788e-07 -1.56517168e-05 + 10 0 2.85795756e-05 3.16176858e-05 1.18941915e-07 -1.07600655e-05 + 11 0 1.17268891e-05 1.36245933e-05 7.64792774e-08 -8.15715601e-06 + 12 0 5.48253460e-06 6.58854533e-06 4.84595620e-08 -5.86184387e-06 + 13 0 2.89818160e-06 3.50930747e-06 2.94624004e-08 -3.89633190e-06 + 14 0 1.65035489e-06 1.97414053e-06 1.71304612e-08 -2.41505462e-06 + 15 0 9.63140507e-07 1.12906496e-06 9.56210841e-09 -1.41291166e-06 + 16 0 5.58961665e-07 6.41621690e-07 5.15518294e-09 -7.89705895e-07 + 17 0 3.13289471e-07 3.55689503e-07 2.67458599e-09 -4.24831788e-07 + 18 0 2.12085824e-07 2.13593341e-07 1.54885876e-09 -4.25755105e-07 diff --git a/test/tests/CMakeLists.txt b/test/tests/CMakeLists.txt index 3901ec3a..ff075bd7 100644 --- a/test/tests/CMakeLists.txt +++ b/test/tests/CMakeLists.txt @@ -564,6 +564,17 @@ add_test(NAME test_array_utils COMMAND test_array_utils.x) TIMEOUT 7200) endif() + # .bc retirement gate (SIMPLE#430): field-level cross-check of the + # .bc -> boozmn -> chartmap pipeline using committed fixtures. + # Runs under pytest so def test_* assertions are enforced in CI. + add_test(NAME test_bc_retirement + COMMAND ${BOOZER_CHARTMAP_PYTHON} -m pytest -v + ${CMAKE_CURRENT_SOURCE_DIR}/test_bc_retirement.py) + set_tests_properties(test_bc_retirement PROPERTIES + WORKING_DIRECTORY ${CMAKE_CURRENT_BINARY_DIR} + LABELS "unit;python" + TIMEOUT 120) + if(SIMPLE_ENABLE_CGAL) add_executable(test_stl_wall_intersection.x test_stl_wall_intersection.f90) diff --git a/test/tests/test_bc_retirement.py b/test/tests/test_bc_retirement.py new file mode 100644 index 00000000..825c046c --- /dev/null +++ b/test/tests/test_bc_retirement.py @@ -0,0 +1,179 @@ +"""Field-level retirement gate for SIMPLE#430: .bc -> boozmn -> chartmap. + +Validates that the pre-generated Boozer chartmap (committed as a test fixture) +contains the variables SIMPLE's chartmap reader expects and that Bmod values +agree with direct Fourier summation from the .bc harmonics. + +Fixture files committed at test/test_data/: + circ.bc -- Strumberger Boozer .bc file (axisymmetric tokamak) + boozmn_circ.nc -- booz_xform-format NetCDF generated from circ.bc via + libneo bc_to_booz_xform (feat/eqdsk-boozer-chartmap, + merged into libneo main as PR #343-345) + chartmap_circ.nc -- Boozer chartmap for SIMPLE generated from boozmn_circ.nc + via libneo booz_xform_to_boozer_chartmap (nrho=40, + ntheta=96, nzeta=1) + +No orbit runs; no POTATO; no libneo converters required at test time. +""" + +from __future__ import annotations + +from pathlib import Path + +import numpy as np +import pytest + +netCDF4 = pytest.importorskip("netCDF4") +_scipy_interp = pytest.importorskip("scipy.interpolate") +CubicSpline = _scipy_interp.CubicSpline +RegularGridInterpolator = _scipy_interp.RegularGridInterpolator + +# --------------------------------------------------------------------------- +# Fixture paths: committed into the repo, no external dependencies. +# --------------------------------------------------------------------------- +_TEST_DATA = Path(__file__).resolve().parents[1] / "test_data" +CIRC_BC = _TEST_DATA / "circ.bc" +BOOZMN_NC = _TEST_DATA / "boozmn_circ.nc" +CHARTMAP_NC = _TEST_DATA / "chartmap_circ.nc" + +TWOPI = 2.0 * np.pi + + +# --------------------------------------------------------------------------- +# Direct .bc Fourier evaluation (reference) +# --------------------------------------------------------------------------- + +def _bmod_from_bc(bc, s_test: np.ndarray, theta_b_test: np.ndarray) -> np.ndarray: + """Evaluate |B| from .bc Fourier harmonics at (s, theta_B) pairs. + + Axisymmetric: bmnc[m] * cos(m * theta_B). Spline in s between surfaces. + """ + nsurf = bc.nsurf + s_surf = np.asarray(bc.s, dtype=float) + m0 = np.asarray(bc.m[0], dtype=int) + bmnc = np.array([bc.bmnc[k] for k in range(nsurf)], dtype=float) + + n_test = len(s_test) + bmod = np.empty(n_test, dtype=float) + for i in range(n_test): + bmnc_at_s = np.array( + [float(CubicSpline(s_surf, bmnc[:, j])(s_test[i])) for j in range(len(m0))], + dtype=float, + ) + bmod[i] = float(np.dot(bmnc_at_s, np.cos(m0 * theta_b_test[i]))) + return bmod + + +# --------------------------------------------------------------------------- +# Tests +# --------------------------------------------------------------------------- + +def test_chartmap_has_required_variables(): + """Chartmap file must contain the variables SIMPLE's chartmap reader expects.""" + assert CHARTMAP_NC.exists(), f"committed fixture missing: {CHARTMAP_NC}" + required = {"rho", "s", "theta", "zeta", "Bmod", "A_phi", "B_theta", "B_phi"} + with netCDF4.Dataset(CHARTMAP_NC) as ds: + present = set(ds.variables.keys()) + missing = required - present + assert not missing, f"chartmap missing variables: {missing}" + + +def test_bmod_positive(): + """All Bmod values in the chartmap must be positive (field strength).""" + assert CHARTMAP_NC.exists(), f"committed fixture missing: {CHARTMAP_NC}" + with netCDF4.Dataset(CHARTMAP_NC) as ds: + bmod = np.asarray(ds.variables["Bmod"][:], dtype=float) + assert float(bmod.min()) > 0.0, f"non-positive Bmod found: min={bmod.min():.4g}" + + +def test_chartmap_bmod_matches_bc_fourier(): + """Bmod in the chartmap agrees with direct .bc Fourier evaluation. + + Conversion chain verified once at fixture-generation time: + .bc harmonics -> boozmn NetCDF -> splined chartmap (nrho=40, ntheta=96, nzeta=1) + + Expected error budget at mid-radius (0.20 < s < 0.90): + cubic spline in rho + Fourier truncation: < 1e-4 relative + (fixture regenerated with the radial-grid-aligned bc_to_booz_xform, + libneo PR #347; bc.s lands exactly on the booz_xform half-grid) + Tolerance: 1e-4 relative. + """ + pytest.importorskip("libneo") + assert CIRC_BC.exists(), f"committed fixture missing: {CIRC_BC}" + assert CHARTMAP_NC.exists(), f"committed fixture missing: {CHARTMAP_NC}" + + from libneo.boozer import BoozerFile + bc = BoozerFile(str(CIRC_BC)) + + with netCDF4.Dataset(CHARTMAP_NC) as ds: + rho_grid = np.asarray(ds.variables["rho"][:], dtype=float) + theta_grid = np.asarray(ds.variables["theta"][:], dtype=float) + bmod_nc = np.asarray(ds.variables["Bmod"][:], dtype=float) + + bmod_2d = bmod_nc[0, :, :].T # (nrho, ntheta) + + theta_w = np.append(theta_grid, TWOPI) + bmod_w = np.concatenate([bmod_2d, bmod_2d[:, :1]], axis=1) + interp = RegularGridInterpolator( + (rho_grid, theta_w), + bmod_w, + method="cubic", + bounds_error=False, + fill_value=None, + ) + + rng = np.random.default_rng(42) + n_test = 30 + s_test = rng.uniform(0.20, 0.90, n_test) + rho_test = np.sqrt(s_test) + theta_test = rng.uniform(0.0, TWOPI, n_test) + + bmod_direct_T = _bmod_from_bc(bc, s_test, theta_test) + + # chartmap stores Bmod in Gauss; convert to Tesla for comparison + bmod_chart_G = interp(np.column_stack([rho_test, theta_test])) + bmod_chart_T = bmod_chart_G / 1.0e4 + + tol = 1.0e-4 + for i in range(n_test): + rel_err = abs(bmod_direct_T[i] - bmod_chart_T[i]) / abs(bmod_direct_T[i]) + assert rel_err < tol, ( + f"point {i}: s={s_test[i]:.3f} theta={theta_test[i]:.4f} rad " + f"Bmod_bc={bmod_direct_T[i]:.6f} T " + f"Bmod_chart={bmod_chart_T[i]:.6f} T " + f"rel_err={rel_err:.2e} > tol={tol:.0e}" + ) + + +def test_bmod_axis_scale(): + """On-axis Bmod (m=0 harmonic) from chartmap matches .bc m=0 mode to 1%.""" + pytest.importorskip("libneo") + assert CIRC_BC.exists(), f"committed fixture missing: {CIRC_BC}" + assert CHARTMAP_NC.exists(), f"committed fixture missing: {CHARTMAP_NC}" + + from libneo.boozer import BoozerFile + bc = BoozerFile(str(CIRC_BC)) + + s_surf = np.asarray(bc.s, dtype=float) + m0 = np.asarray(bc.m[0], dtype=int) + bmnc = np.array([bc.bmnc[k] for k in range(bc.nsurf)], dtype=float) + + idx_m0 = np.where(m0 == 0)[0] + assert len(idx_m0) > 0, "no m=0 mode in .bc" + b00_at_mid = float(CubicSpline(s_surf, bmnc[:, idx_m0[0]])(0.25)) + + with netCDF4.Dataset(CHARTMAP_NC) as ds: + rho_grid = np.asarray(ds.variables["rho"][:], dtype=float) + bmod_nc = np.asarray(ds.variables["Bmod"][:], dtype=float) + + bmod_2d = bmod_nc[0, :, :].T # (nrho, ntheta) + bmod_theta_avg = bmod_2d.mean(axis=1) / 1.0e4 # G -> T + + rho_mid = np.sqrt(0.25) + b00_chart = float(np.interp(rho_mid, rho_grid, bmod_theta_avg)) + + rel_err = abs(b00_chart - b00_at_mid) / abs(b00_at_mid) + assert rel_err < 1.0e-2, ( + f"on-axis B00 mismatch: bc={b00_at_mid:.6f} T chart={b00_chart:.6f} T " + f"rel_err={rel_err:.2e}" + )