import matplotlib.pyplot as mpl
import matplotlib.transforms as transforms

mpl.ion()  # for interactive drawing
fig = mpl.figure()

ax = fig.gca()
xmin, xmax, ymin, ymax = -2.0, 4.0, -2.0, 6.0
ax.set_xlim(xmin, xmax)
ax.set_ylim(ymin, ymax)
ax.set_aspect('equal')



mpl.grid(True)

# arc
mpl.arrow(x=-0.509204, y=1.93409, dx=-0.00843419, dy=-0.00224023,
          facecolor='b', edgecolor='b',
          linestyle='solid',
          linewidth=2, head_width=0.1,
          length_includes_head=True,
          shape='full')
ax.text(-0.2, -0.2, 'center',
        horizontalalignment='center', fontsize=14)
ax.text(2.68468, 1.55, 'start_angle',
        horizontalalignment='center', fontsize=14)

# arc
x = [2.5,
 2.4999576921443607,
 2.4998307700094053,
 2.499619237890978,
 2.4993231029486545,
 2.4989423752055013,
 2.4984770675477392,
 2.497927195724303,
 2.4972927783463112,
 2.4965738368864345,
 2.4957703956781705,
 2.4948824819150186,
 2.4939101256495606,
 2.4928533597924436,
 2.491712220111265,
 2.4904867452293638,
 2.489176976624511,
 2.4877829586275078,
 2.4863047384206833,
 2.4847423660362997,
 2.4830958943548573,
 2.481365379103305,
 2.4795508788531544,
 2.4776524550184966,
 2.475670171853926,
 2.473604096452361,
 2.4714542987427794,
 2.4692208514878446,
 2.466903830281448,
 2.464503313546149,
 2.46201938253052,
 2.4594521213063967,
 2.4568016167660334,
 2.45406795861916,
 2.4512512393899484,
 2.4483515544138785,
 2.4453690018345142,
 2.442303682600177,
 2.4391557004605358,
 2.435925161963088,
 2.4326121764495596,
 2.4292168560522005,
 2.425739315689991,
 2.422179673064752,
 2.41853804865716,
 2.4148145657226707,
 2.411009350287347,
 2.407122531143594,
 2.4031542398457972,
 2.3991046107058733,
 2.3949737807887224,
 2.390761889907589,
 2.38646908061933,
 2.38209549821959,
 2.377641290737884,
 2.3731066089325847,
 2.3684916062858234,
 2.363796438998292,
 2.359021265983959,
 2.354166248864688,
 2.3492315519647713,
 2.3442173423053623,
 2.339123789598829,
 2.3339510662430043,
 2.328699347315356,
 2.323368810567056,
 2.3179596364169686,
 2.3124720079455403,
 2.306906110888606,
 2.3012621336311008,
 2.295540267200685,
 2.289740705261278,
 2.2838636441065026,
 2.2779092826530425,
 2.2718778224339107,
 2.2657694675916247,
 2.2595844248713015,
 2.2533229036136557,
 2.2469851157479175,
 2.2405712757846583,
 2.2340816008085307,
 2.2275163104709197,
 2.2208756269825103,
 2.214159775105765,
 2.2073689821473175,
 2.200503477950278,
 2.193563494886455,
 2.1865492678484895,
 2.179461034241906,
 2.1722990339770756,
 2.165063509461097,
 2.157754705589591,
 2.1503728697384137,
 2.142918251755281,
 2.135391103951314,
 2.1277916810924995,
 2.1201202403910653,
 2.1123770414967753,
 2.104562346488144,
 2.0966764198635603,
 2.088719528532341,
 2.0806919418056946,
 2.0725939313876043,
 2.0644257713656353,
 2.056187738201656,
 2.0478801107224793,
 2.03950317011043,
 2.031057199893823,
 2.0225424859373686,
 2.0139593164324983,
 2.0053079818876096,
 1.9965887751182323,
 1.9878019912371194,
 1.9789479276442588,
 1.970026884016805,
 1.9610391622989396,
 1.9519850666916483,
 1.9428649036424273,
 1.93367898183491,
 1.9244276121784196,
 1.9151111077974452,
 1.905729784021045,
 1.8962839583721727,
 1.8867739505569303,
 1.877200082453748,
 1.86756267810249,
 1.857862063693486,
 1.8480985675564905,
 1.8382725201495718,
 1.8283842540479265,
 1.8184341039326222,
 1.80842240657927,
 1.7983495008466281,
 1.788215727665129,
 1.778021430025343,
 1.7677669529663689,
 1.7574526435641544,
 1.7470788509197501,
 1.7366459261474934,
 1.7261542223631243,
 1.7156040946718343,
 1.7049959001562465,
 1.694329997864331,
 1.683606748797251,
 1.6728265158971458,
 1.6619896640348446,
 1.6510965599975194,
 1.6401475724762684,
 1.6291430720536382,
 1.6180834311910814,
 1.6069690242163488,
 1.595800227310821,
 1.5845774184967758,
 1.5733009776245939,
 1.561971286359901,
 1.5505887281706503,
 1.539153688314146,
 1.5276665538239997,
 1.516127713497034,
 1.504537557880121,
 1.4928964792569657,
 1.4812048716348272,
 1.4694631307311832,
 1.4576716539603372,
 1.4458308404199665,
 1.4339410908776153,
 1.4220028077571298,
 1.4100163951250364,
 1.3979822586768675,
 1.385900805723429,
 1.3737724451770152,
 1.361597587537568,
 1.3493766448787827,
 1.337110030834161,
 1.3247981605830128,
 1.312441450836401,
 1.3000403198230388,
 1.2875951872751359,
 1.2751064744141885,
 1.2625746039367256,
 1.2500000000000002]
y = [0.0,
 0.014544328387484583,
 0.029088164503492532,
 0.04363101609320877,
 0.058172390935140796,
 0.07271179685777851,
 0.08724874175625241,
 0.10178273360898957,
 0.11631328049436661,
 0.13083989060735957,
 0.14536207227618955,
 0.1598793339789641,
 0.17439118436031323,
 0.18889713224802018,
 0.2033966866696457,
 0.21788935686914537,
 0.23237465232348048,
 0.24685208275921977,
 0.2613211581691336,
 0.27578138882877923,
 0.29023228531307554,
 0.30467335851286864,
 0.3191041196514865,
 0.3335240803012817,
 0.3479327524001635,
 0.3623296482681168,
 0.37671428062370776,
 0.3910861626005771,
 0.40544480776391856,
 0.41978973012694265,
 0.43412044416732576,
 0.4484364648436434,
 0.46273730761178644,
 0.47702248844136197,
 0.49129152383207525,
 0.5055439308300947,
 0.5197792270443982,
 0.5339969306631001,
 0.5481965604697582,
 0.5623776358596624,
 0.5765396768561003,
 0.5906822041266032,
 0.6048047389991692,
 0.618906803478465,
 0.6329879202620043,
 0.6470476127563018,
 0.6610854050930054,
 0.6751008221450018,
 0.6890933895424978,
 0.7030626336890764,
 0.7170080817777256,
 0.7309292618068418,
 0.7448257025962048,
 0.7586969338029265,
 0.7725424859373684,
 0.7863618903790339,
 0.8001546793924288,
 0.8139203861428916,
 0.8276585447123951,
 0.8413686901153157,
 0.8550503583141716,
 0.8687030862353283,
 0.8823264117846721,
 0.8959198738632506,
 0.9094830123828785,
 0.9230153682817109,
 0.9365164835397799,
 0.9499859011944972,
 0.9634231653561207,
 0.9768278212231842,
 0.9901994150978919,
 1.0035374944014728,
 1.0168416076895004,
 1.0301113046671708,
 1.0433461362045446,
 1.0565456543517484,
 1.0697094123541355,
 1.0828369646674074,
 1.0959278669726933,
 1.1089816761915896,
 1.1219979505011553,
 1.1349762493488669,
 1.147916133467529,
 1.1608171648901422,
 1.1736789069647267,
 1.186500924369101,
 1.1992827831256152,
 1.2120240506158424,
 1.2247242955952173,
 1.237383088207635,
 1.2499999999999998,
 1.2625746039367247,
 1.275106474414188,
 1.287595187275135,
 1.3000403198230384,
 1.3124414508364004,
 1.3247981605830121,
 1.3371100308341606,
 1.3493766448787818,
 1.3615975875375674,
 1.373772445177015,
 1.3859008057234283,
 1.3979822586768669,
 1.4100163951250357,
 1.4220028077571292,
 1.4339410908776151,
 1.445830840419966,
 1.4576716539603365,
 1.4694631307311825,
 1.4812048716348267,
 1.4928964792569652,
 1.5045375578801203,
 1.5161277134970332,
 1.527666553823999,
 1.5391536883141455,
 1.5505887281706499,
 1.5619712863599002,
 1.5733009776245934,
 1.5845774184967754,
 1.5958002273108205,
 1.6069690242163481,
 1.6180834311910808,
 1.6291430720536377,
 1.640147572476268,
 1.6510965599975191,
 1.6619896640348442,
 1.6728265158971454,
 1.6836067487972506,
 1.6943299978643305,
 1.7049959001562462,
 1.7156040946718338,
 1.726154222363124,
 1.736645926147493,
 1.74707885091975,
 1.7574526435641542,
 1.7677669529663687,
 1.7780214300253427,
 1.7882157276651283,
 1.7983495008466277,
 1.8084224065792696,
 1.8184341039326215,
 1.828384254047926,
 1.8382725201495713,
 1.8480985675564898,
 1.8578620636934853,
 1.8675626781024899,
 1.8772000824537476,
 1.8867739505569299,
 1.8962839583721722,
 1.9057297840210445,
 1.9151111077974448,
 1.924427612178419,
 1.9336789818349098,
 1.942864903642427,
 1.9519850666916478,
 1.961039162298939,
 1.9700268840168045,
 1.9789479276442585,
 1.9878019912371192,
 1.9965887751182319,
 2.005307981887609,
 2.0139593164324983,
 2.022542485937368,
 2.0310571998938225,
 2.03950317011043,
 2.0478801107224793,
 2.0561877382016553,
 2.064425771365635,
 2.072593931387604,
 2.080691941805694,
 2.0887195285323408,
 2.09667641986356,
 2.104562346488143,
 2.1123770414967753,
 2.1201202403910644,
 2.127791681092499,
 2.1353911039513136,
 2.1429182517552805,
 2.1503728697384132,
 2.1577547055895905,
 2.1650635094610964]
[line] = ax.plot(x, y, 'k', linewidth=1, linestyle='dashed')

# line
x = [0.0, 4.0]
y = [0.0, 0.0]
[line] = ax.plot(x, y, 'k', linewidth=1, linestyle='dashed')

# line
x = [0.0, 2.0000000000000004]
y = [0.0, 3.4641016151377544]
[line] = ax.plot(x, y, 'k', linewidth=1, linestyle='dashed')
ax.text(0.629904, 0.791025, 'radius',
        horizontalalignment='left', fontsize=14)

# line
mpl.arrow(x=1, y=1.73205, dx=-1, dy=-1.73205,
          facecolor='k', edgecolor='k',
          linestyle='dashed',
          linewidth=1, head_width=0.1,
          length_includes_head=True,
          shape='full')
mpl.arrow(x=0, y=0, dx=1, dy=1.73205,
          facecolor='k', edgecolor='k',
          linestyle='dashed',
          linewidth=1, head_width=0.1,
          length_includes_head=True,
          shape='full')

# line
x = [0.0, -1.0352761804100834]
y = [0.0, 3.8637033051562732]
[line] = ax.plot(x, y, 'k', linewidth=1, linestyle='dashed')
ax.text(0.430736, 3.27177, 'arc_angle',
        horizontalalignment='center', fontsize=14)

# arc
x = [1.5000000000000004,
 1.488649511025625,
 1.477270680310402,
 1.4658637244908648,
 1.4544288607390112,
 1.4429663067581633,
 1.4314762807788257,
 1.4199590015545303,
 1.4084146883576727,
 1.3968435609753347,
 1.3852458397051022,
 1.3736217453508708,
 1.3619714992186405,
 1.3502953231123052,
 1.3385934393294268,
 1.3268660706570043,
 1.3151134403672324,
 1.3033357722132515,
 1.2915332904248857,
 1.2797062197043756,
 1.2678547852220987,
 1.2559792126122844,
 1.2440797279687175,
 1.2321565578404323,
 1.2202099292274011,
 1.2082400695762117,
 1.1962472067757388,
 1.184231569152802,
 1.1721933854678217,
 1.1601328849104626,
 1.1480502970952695,
 1.1359458520572991,
 1.1238197802477365,
 1.1116723125295092,
 1.099503680172892,
 1.0873141148511052,
 1.075103848635901,
 1.062873113993148,
 1.0506221437784022,
 1.038351171232479,
 1.0260604299770064,
 1.0137501540099814,
 1.0014205777013134,
 0.9890719357883619,
 0.9767044633714703,
 0.9643183959094851,
 0.9519139692152769,
 0.9394914194512493,
 0.9270509831248424,
 0.9145928970840327,
 0.9021173985128199,
 0.8896247249267135,
 0.8771151141682103,
 0.8645888044022682,
 0.8520460341117683,
 0.8394870420929765,
 0.8269120674509975,
 0.814321349595223,
 0.8017151282347709,
 0.7890936433739248,
 0.7764571353075629,
 0.7638058446165829,
 0.7511400121633245,
 0.7384598790869795,
 0.7257656867990037,
 0.71305767697852,
 0.7003360915677164,
 0.6876011727672428,
 0.6748531630315955,
 0.6620923050645039,
 0.6493188418143094,
 0.636533016469339,
 0.6237350724532784,
 0.6109252534205329,
 0.5981038032515915,
 0.585270966048385,
 0.5724269861296347,
 0.5595721080262044,
 0.5467065764764429,
 0.5338306364215253,
 0.5209445330007912,
 0.5080485115470743,
 0.4951428175820335,
 0.482227696811479,
 0.46930339512069275,
 0.4563701585697504,
 0.4434282333888323,
 0.43047786597353854,
 0.41751930288019706,
 0.40455279082116924,
 0.39157857666015516,
 0.37859690740748986,
 0.36560803021544247,
 0.3526121923735131,
 0.3396096413037205,
 0.3266006245558942,
 0.313585389802961,
 0.30056418483622893,
 0.28753725756067217,
 0.2745048559902076,
 0.2614672282429751,
 0.24842462253661374,
 0.235377287183535,
 0.22232547058619806,
 0.20926942123237635,
 0.19620938769042914,
 0.1831456186045714,
 0.17007836269013277,
 0.1570078687288319,
 0.14393438556403237,
 0.13085816209600803,
 0.11777944727720599,
 0.10469849010750323,
 0.09161553962946846,
 0.07853084492362009,
 0.06544465510368347,
 0.05235721931185079,
 0.03926878671403372,
 0.026179606495121688,
 0.013089927854240412,
 1.8369701987210297e-16,
 -0.01308992785423938,
 -0.026179606495121327,
 -0.03926878671403335,
 -0.052357219311849765,
 -0.06544465510368311,
 -0.07853084492361906,
 -0.09161553962946742,
 -0.10469849010750287,
 -0.11777944727720498,
 -0.13085816209600767,
 -0.14393438556403138,
 -0.15700786872883085,
 -0.1700783626901324,
 -0.18314561860457035,
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 -0.209269421232376,
 -0.222325470586197,
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 -0.24842462253661268,
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 -0.2745048559902072,
 -0.28753725756067117,
 -0.3005641848362286,
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 -0.32660062455589317,
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 -0.35261219237351205,
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 -0.41751930288019606,
 -0.43047786597353743,
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 -0.4693033951206924,
 -0.482227696811478,
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 -0.5080485115470739,
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 -0.5338306364215251,
 -0.5467065764764419,
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 -0.5724269861296344,
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 -0.700336091567716,
 -0.713057676978519,
 -0.7257656867990027,
 -0.7384598790869792,
 -0.7511400121633235,
 -0.7638058446165825,
 -0.7764571353075619]
y = [2.598076211353316,
 2.6045964434674262,
 2.611067087819699,
 2.6174880212183913,
 2.623859121418187,
 2.630180267122523,
 2.636451337985896,
 2.6426722146161565,
 2.6488427785767805,
 2.6549629123891254,
 2.661032499534665,
 2.6670514244572088,
 2.6730195725651034,
 2.6789368302334107,
 2.684803084806075,
 2.6906182245980648,
 2.6963821388975013,
 2.7020947179677637,
 2.7077558530495818,
 2.7133654363631035,
 2.7189233611099493,
 2.7244295214752436,
 2.7298838126296294,
 2.7352861307312653,
 2.7406363729278027,
 2.745934437358341,
 2.751180223155372,
 2.756373630446695,
 2.7615145603573206,
 2.766602915011355,
 2.77163859753386,
 2.7766215120526994,
 2.781551563700362,
 2.7864286586157725,
 2.791252703946074,
 2.7960236078483955,
 2.8007412794916053,
 2.805405629058035,
 2.8100165677451927,
 2.8145740077674524,
 2.819077862357725,
 2.8235280457691116,
 2.8279244732765347,
 2.8322670611783525,
 2.8365557267979504,
 2.840790388485317,
 2.844970965618598,
 2.849097378605631,
 2.8531695488854605,
 2.857187398929835,
 2.8611508522446805,
 2.86505983337156,
 2.868914267889106,
 2.8727140824144435,
 2.876459204604579,
 2.8801495631577856,
 2.8837850878149567,
 2.887365709360942,
 2.890891359625869,
 2.894361971486439,
 2.8977774788672046,
 2.901137816741829,
 2.904442921134323,
 2.907692729120263,
 2.9108871788279895,
 2.9140262094397844,
 2.9171097611930294,
 2.9201377753813453,
 2.9231101943557056,
 2.926026961525538,
 2.9288880213598,
 2.9316933193880366,
 2.9344428022014166,
 2.9371364174537513,
 2.9397741138624887,
 2.9423558412096913,
 2.944881550342992,
 2.9473511931765293,
 2.9497647226918637,
 2.9521220929388727,
 2.954423259036624,
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[line] = ax.plot(x, y, 'k', linewidth=1, linestyle='dashed')
mpl.title("Arc")
mpl.draw()
mpl.savefig("tmp_Arc.png", dpi=None)
mpl.savefig("tmp_Arc.pdf")