Distance from line segment to planeΒΆ

plot line segment to plane
2.1781070829971445
1.7539991859926938
3.632872613780115
3.1050716648448864
3.49579669137491
2.5115255955981817
0.0
0.0
1.2323263668201405
0.0
0.8655804402948957
1.2085501253285753
2.1524639027883357
5.177698275736152
1.302620775034092
0.43047469224610646
0.14802043149517724
3.4278505445039475
0.9212555666322875
0.688136680434385
1.5458405514391764
2.401202966765308
2.169653224694266
2.849250948188985
1.005197583756803
0.056939711710386365
3.1077062426562847
0.5687057800087612
0.0
0.0
0.0
5.133222057474912
1.4798802995746372
0.0
2.940790900069855
1.6231582196712975
0.0
0.598444666416027
1.7515148660953819
0.9486240662452279
3.73459013597744
3.2497766260357714
0.6845681580620273
1.6903705431128795
1.5546257822095748
0.5739705419353445
2.375772197528592
1.9688662597434177
1.6562335006694195
2.2239505081301907
0.0
1.2621260938409578
1.4461452289931733
3.779332868741414
0.20486216919495737
2.3808385042929996
0.4353240155712458
0.0
1.8091133139164235
0.5745465822595317
2.0748841902949473
2.105453803618759
1.152996031791346
2.4039117501473655
2.384620072712581
1.4676696640271034
1.4220687544208097
2.578840637444041
0.0
0.003378092234795016
0.5402286241930181
0.99745660818177
1.2126531091938941
0.12259392528899307
4.69793715793825
1.9245353406928793
3.218611165833892
0.47470220973892696
0.451790943398619
0.0
1.9312441742823157
0.30591805170945524
0.0
0.4607004100462376
1.4714734046283389
0.0
1.2859310855662294
1.303354916214096
0.4403837877072055
3.6279854394510505
4.761570233368003
0.1003999071457663
0.3386182913407706
0.6510083320832316
0.5132592821590269
5.509857109660431
2.266261857783468
3.208544737228128
1.9459994396016471
0.0009509422762879038
1.412067377075211
1.5186935283108842
3.2368926634044275
0.6396027972458802
0.0
0.0
1.3429384984116541
1.28471208362793
1.5393604154940312
4.55622613895945
2.5233875114058977
2.6960390665943272
0.40004250895450455
2.599880748747797
0.20212492072967078
0.0
1.1748276863244302
0.0
3.1765974312942924
0.0
2.109695556536495
0.8192423564624031
0.7808441654965116
0.1609278677937518
0.0
0.0
0.8450324901772884
0.5361040103543427
0.14286228646374657
1.6838714650244053
1.5285782795472835
2.474557045162374
0.0
0.0
0.7377111025298321
2.491603455831128
2.8059196578985017
2.1127595160608763
0.7642374296850099
6.121863496931409
0.0
1.0962733846124977
2.1874072976432712
0.0
0.5111459476445059
3.2916501199068673
1.2468549202690946
6.364972804212888
2.6778115164748173
0.4972386536528741
1.34681468930029
0.40335241952501005
4.154786807454835
1.8689522790704813
4.538574713797366
1.3986858240692066
0.7916394939703375
0.08279726071239174
1.1100122681526359
2.715528058144693
2.5924983410536186
1.8336390250351764
3.841746845683531
0.0
1.3737604330765931
0.29131006335783904
3.4439851464232767
3.1746690144394596
2.4804097608925013
0.47123231826424067
1.6052470647592285
0.0
3.400808700039596
2.562109546388804
0.0
0.5602830989963363
0.8308074115546593
1.7537494144532937
0.04736070929946545
6.829529959568398
5.486311230617128
1.1574938757093642
0.0
0.0
2.7289219180369377
1.3916271696923288
0.971354617524767
1.8656447441320132
0.0
2.2035948085021837
1.9809666937655754
0.0
1.798077653288963
4.162123054169924
0.0
5.794469387956206
0.2951043432687162
0.5826179801208572
1.1024859951483392
0.8625429675136437
1.342250672336481
0.0
1.5425478397398302
3.3508559823804718
0.08002067684881925
0.18813217702950819
0.5164774324809951
0.4079537871986616
1.0618728151176704
1.077039264627913
6.027659214907649
5.411359740613445
0.9841313293518035
1.9025922462639173
0.0
0.3567545547730798
1.5003513403082351
1.867041917462668
0.24829114427013116
1.4125481295430748
0.10708789226039428
0.6968775252673516
1.6746249190863272
2.0894926641305216
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0.9351636384860378
2.8301662945449886
2.3810946138912863
1.310822744391209
2.8580335979995377
0.0
1.9614886972764918
0.1449122291994433
0.9701929366925878
0.400540978644268
1.8416333405635137
0.9844385847493672
2.9821112516694623
0.432291096439118
3.5919676005540455
1.1920529137553453
2.846033823348889
0.44081313658411186
1.5984662397618967
2.9347496159391606
2.335401384834414
0.9764614872559733
2.7527232061616163
2.827742477311058
2.5022043985574083
2.7245067118271145
1.943006401070317
4.429754463932591
1.5025860673052684
0.42194809677254175
1.1522784907923598
2.752353984411411
0.8424568838246559
0.6909919310744382
2.104220630132278
0.0
5.468415468342427
0.0
1.162018317070602
0.04823806249410688
4.12832210415105
1.6622658232240555
0.9765122844773361
1.3339762310354413
2.2432074240913047
3.4812032371102837
3.2292737454726885
1.0681510191331056
2.9951481208764412
6.107325543159882
4.49042870708632
1.046349628403847
0.14659374359612737
1.2969076820800993
1.2007996524702909
2.647230072491567
0.0880392064750111
1.5352896536334548
4.015514370518702
6.137236554014727
1.5846573733686922
5.226799053579839
1.902024688531619
2.420089496110783
0.9009552671159835
0.0
1.789001914868435
1.6061755949562193
3.483177414281174
0.0
2.7983448397141784
0.9906722045658152
5.434691602803405
0.796849602591485
1.7402925881753517
3.57992593407838
0.7490024220499212
3.0526531842388795
0.0
0.9100879305765806
0.9526351079068448
2.6241243192615697
0.0
1.3783593213415204
1.7740180798048106
2.7650656392987147
3.326040657742416
0.8866935006132488
1.6679302363516402
5.08628326980188
0.0
0.36111403884174614
3.363487477232969
2.0241060636008403
0.9993690221091585
0.7525562436898108
0.0
2.6778160266151354
1.742727854943466
0.0
0.0
1.5020955816918118
1.6267475677717411
2.2075138544991773
2.1944923104979392
0.0
2.746928397158653
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0.786758788519729
1.399641198910423
1.6617011742961867
3.981781504918179
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0.3068669746679853
2.269890540360895
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3.209782558943651
1.0529578445999686
1.2084978251732759
0.8451324864706322
2.758860747206214
1.5141314700507402
1.7183091609861507
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0.3745042964180383
0.24339448916902526
2.6061187864593367
0.38718745449815084
2.45731530840798
2.9986129021049317
3.0771764408381763
2.789636415400708
5.0614040507014
0.14538585959717776
0.7630105006325414
4.623799054563587
2.6189709198130373
1.458979709528092
3.4978611257159353
4.390602482116408
5.090017726232518
3.203316648041985
0.0
1.0511945598612278
0.09777274785309018
3.8835112268642664
1.5701704598995196
1.8883636908709738
0.9821473408429773
0.0
5.135660962384503
2.3474884162550533
1.0060792414569326
1.2703955745876496
2.3835742142484997
1.2317404781328052
4.907286912069448
1.5247728977262132
0.572712779963424
0.0
0.0
0.6429725243158441
1.4756510313863083
1.2891022610234861
0.0
2.716794918551686
4.87140795481704
0.17311575673366963
2.2018407043051598
0.45724266410123043
3.8683732005762406
0.6174189798367397
2.510277899845109
1.6125168888311157
3.504784130061687
0.19108031964052805
3.5389249667877967
2.9475288029823097
2.3544535697658526
0.1818553910653261
1.852356106596436
3.2034534977634044
3.9133821575578596
1.3640316567591773
1.0513856814038158
4.539710736662001
3.2475480353737294
0.537450712688415
1.1663110163142765
2.2015173437449986
2.3662342523896496
0.0
5.672006979647845
1.7345813005009043
1.9581625771431412
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0.3669763812357376
0.6821306959696751
0.5835400441943547
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0.22677562316620903
0.719115423457207
2.7244623484566803
3.889453996631717
3.3108254817111074
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0.13383145374436384
2.5840391774379516
0.07892949132539012
1.972546909450582
3.648025438348057
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0.11153928086386994
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3.746834697947431
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0.8116710949883577
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0.6977215748994582
1.9951356520857408
1.6254222311785806
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3.5871178840326636
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1.0776997006405755
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2.740982967667837
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1.6200924018205727
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accumulated_time=0.1950855255126953

print(__doc__)
import time
import numpy as np
import matplotlib.pyplot as plt
import pytransform3d.plot_utils as ppu
import pytransform3d.rotations as pr
from distance3d.distance import line_segment_to_plane
from distance3d import random, plotting


random_state = np.random.RandomState(3)
plane_point, plane_normal = random.randn_plane(random_state)

ax = ppu.make_3d_axis(ax_s=2)

accumulated_time = 0.0
for i in range(50000):
    segment_start, segment_end = random.randn_line_segment(random_state, scale=2)
    if random_state.rand() < 0.5:
        segment_direction = pr.perpendicular_to_vector(plane_normal)
        segment_end = segment_start + segment_direction * random_state.rand()
    start = time.time()
    dist, closest_point_line, closest_point_plane = line_segment_to_plane(
        segment_start, segment_end, plane_point, plane_normal)
    end = time.time()
    accumulated_time += end - start
    print(dist)
    if i > 10:
        continue
    plotting.plot_segment(ax, closest_point_line, closest_point_plane, c="k", lw=1)
    plotting.plot_segment(ax, segment_start, segment_end)
print(f"{accumulated_time=}")

plotting.plot_plane(
    ax=ax, plane_point=plane_point, plane_normal=plane_normal, s=2)
ax.view_init(azim=150, elev=30)
plt.show()

Total running time of the script: ( 0 minutes 1.682 seconds)

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