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张壹 2021-07-18 09:00:14 +08:00
parent b50b51e70f
commit 726b96a029
35 changed files with 1625686 additions and 0 deletions
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.gitignore vendored
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*.exe
*.out
*.app
.DS_Store
build/

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CMakeLists.txt Normal file
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cmake_minimum_required(VERSION 3.15.2)
project(MAGTET)
add_subdirectory(src)

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config.sh Executable file
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#!/bin/bash
if [[ ${1} == "configure" && ! -d "build/" ]]; then
mkdir build && cd build && rm -rf * && cmake ..
elif [[ ${1} == "configure" ]]; then
cd build && rm -rf * && cmake ..
elif [[ ${1} == "build" ]]; then
cd build && make
fi

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# cal-type: potential gradient tensor
# mag-file: data/pipeline/magz.txt
# obs-file: data/pipeline/pipeline
# site-file: data/pipeline/site.txt
# tet-file: data/pipeline/pipeline
# x(m) y(m) z(m) Bx(nT) By(nT) Bz(nT)
-20 -20 4 -0.1131758909551257 -0.08553525532344891 -0.3901198779824354
-20 -18 4 -0.134911303332 -0.09250684310562259 -0.4312152347137925
-20 -16 4 -0.1600777887460816 -0.09834809768948584 -0.4749622160054443
-20 -14 4 -0.188591209952184 -0.102184474648083 -0.5205909746940187
-20 -12 4 -0.2199607679851571 -0.1029324948188331 -0.5669072893078329
-20 -10 4 -0.253097175130828 -0.09940717922297157 -0.6122454281185283
-20 -8 4 -0.2861988954501442 -0.0904986843031774 -0.6544774131575899
-20 -6 4 -0.3167387278140498 -0.07551507907887074 -0.6911453294337963
-20 -4 4 -0.3417170619086256 -0.05453080611695695 -0.7197050028147938
-20 -2 4 -0.3581858530063843 -0.02863628755150578 -0.737907214451747
-20 0 4 -0.3639489895395186 -2.742271965594173e-05 -0.7441935109707214
-20 2 4 -0.3581848107701474 0.02864537229486785 -0.7378963005016044
-20 4 4 -0.3417146099490904 0.05455619373240085 -0.7197052617558668
-20 6 4 -0.3167393692333024 0.07551644366135618 -0.6911456261827085
-20 8 4 -0.2861991267725268 0.09049926402203902 -0.6544770624186756
-20 10 4 -0.2530964552648934 0.09941210400557907 -0.6122470346250301
-20 12 4 -0.2199598070643715 0.102936044058043 -0.566908120705093
-20 14 4 -0.1885919150122776 0.1021853555378004 -0.5205927361934418
-20 16 4 -0.1600743797988186 0.09835757989025233 -0.474963375613634
-20 18 4 -0.1350053895602037 0.09236395189019683 -0.4315317501650895
-20 20 4 -0.1131967412628507 0.08551096235351512 -0.3901371587097405
-18 -20 4 -0.1321878998872026 -0.1083782842926142 -0.4467935479225928
-18 -18 4 -0.1604845046691238 -0.1195348177441674 -0.4989043500302099
-18 -16 4 -0.1941894725214414 -0.1297984591353689 -0.5553807996935242
-18 -14 4 -0.2335709750547253 -0.137940115797038 -0.6154780317508615
-18 -12 4 -0.2783152496556089 -0.1422709425946634 -0.6777184446389933
-18 -10 4 -0.3272306443746797 -0.1406493865945726 -0.7398964388453493
-18 -8 4 -0.3777355631298716 -0.1309407317897537 -0.7989553816472549
-18 -6 4 -0.4257915364996041 -0.1114667730514782 -0.8511452330864353
-18 -4 4 -0.4661435487887845 -0.08178416139374917 -0.892395147713485
-18 -2 4 -0.4932648985905226 -0.04341380268981467 -0.9189510050199872
-18 0 4 -0.5028508704495676 3.52558083851074e-06 -0.9281283921304273
-18 2 4 -0.4932649840886426 0.04341595817689539 -0.9189500446571606
-18 4 4 -0.4661447743764655 0.08178248421473253 -0.8923957536820935
-18 6 4 -0.4257941533317389 0.111462339104939 -0.8511463977402098
-18 8 4 -0.3777382236759602 0.1309369545788553 -0.798956344419065
-18 10 4 -0.3272362984029675 0.1406385816555617 -0.73989586264713
-18 12 4 -0.2783315642437246 0.1422494310653399 -0.677722922473656
-18 14 4 -0.2335708015725549 0.1379428656711171 -0.6154780787431792
-18 16 4 -0.1941909073310162 0.1297986035570811 -0.5553842774777548
-18 18 4 -0.1604955227705934 0.1195117106442721 -0.498890185194874
-18 20 4 -0.1322229879997139 0.1083324755623855 -0.4467976609807132
-16 -20 4 -0.1538068123507828 -0.1375419956633616 -0.5123525228854419
-16 -18 4 -0.1905079759992483 -0.1550893277919282 -0.5785439505546762
-16 -16 4 -0.2356052367621924 -0.172592544041009 -0.6518105294240573
-16 -14 4 -0.2902300045862863 -0.1883201916463493 -0.7315054664244165
-16 -12 4 -0.354745408325609 -0.1997038955005364 -0.8159816121728702
-16 -10 4 -0.4281529092649468 -0.2031962187126486 -0.9024064516409118
-16 -8 4 -0.5071384014082355 -0.1946203628804075 -0.9864273373589549
-16 -6 4 -0.5853196355393689 -0.1700249346412192 -1.06228187959215
-16 -4 4 -0.6532678231765615 -0.1274073362718922 -1.123329579451493
-16 -2 4 -0.7001298942357945 -0.06857787473438696 -1.163148655492809
-16 0 4 -0.7169247187896799 -1.759316095082542e-05 -1.17700942055461
-16 2 4 -0.7001308629093524 0.06857800843941303 -1.163149556918693
-16 4 4 -0.6532700096445517 0.1274021949320506 -1.123327355914418
-16 6 4 -0.5853297532111403 0.1699875985136861 -1.062282825188062
-16 8 4 -0.5071411768161155 0.1946178511716469 -0.9864293232283007
-16 10 4 -0.428154170242716 0.2032019601363419 -0.9024103740345153
-16 12 4 -0.3547491409095414 0.1996983705329327 -0.815987021744877
-16 14 4 -0.2902342585816898 0.1883110945036675 -0.7315017893768258
-16 16 4 -0.2356104409446964 0.1725887529060429 -0.6518118496797581
-16 18 4 -0.1904896194368191 0.155109836880208 -0.5785384126505615
-16 20 4 -0.1537916850513144 0.1375575619655842 -0.5123477221240844
-14 -20 4 -0.1776685748602301 -0.1746956574661417 -0.5876978672236522
-14 -18 4 -0.2248999511859028 -0.2018435303541826 -0.6718198359967176
-14 -16 4 -0.2850781795425273 -0.2307993065794629 -0.7670882852956058
-14 -14 4 -0.3608751642482533 -0.2596004857351638 -0.873282732125866
-14 -12 4 -0.4544780943255327 -0.2846085799584297 -0.988893892257062
-14 -10 4 -0.5662778880940024 -0.300060041144344 -1.110462402005023
-14 -8 4 -0.6929093866727825 -0.2979363172842479 -1.231934220390513
-14 -6 4 -0.8247898066028548 -0.2693008656241 -1.344455405127377
-14 -4 4 -0.9447861242077257 -0.2076606413937783 -1.437001140010662
-14 -2 4 -1.030514528203236 -0.1139619275247131 -1.498328241767669
-14 0 4 -1.061837209396491 -8.085792567109905e-06 -1.519839185641817
-14 2 4 -1.030517126599458 0.1139519445244703 -1.498326719656495
-14 4 4 -0.9447909668096212 0.2076560982706674 -1.437003431050292
-14 6 4 -0.824795836532015 0.2692946377460731 -1.344458759272021
-14 8 4 -0.6929127859419129 0.2979394625687591 -1.231941090556703
-14 10 4 -0.5662810050968026 0.3000580599533523 -1.11046569022095
-14 12 4 -0.4544791354069864 0.2846129808765543 -0.9888980183571947
-14 14 4 -0.3608785029836969 0.2595999960835118 -0.87328565606974
-14 16 4 -0.2850772792335883 0.2307999338940012 -0.7670821028338839
-14 18 4 -0.2249058566155659 0.2018410234422264 -0.6718167779564521
-14 20 4 -0.1776709314547476 0.1746964738777 -0.5877089135767396
-12 -20 4 -0.2030857621975571 -0.2214194271814584 -0.673499299534891
-12 -18 4 -0.2631427647355696 -0.2626417786813606 -0.7801880710980081
-12 -16 4 -0.3425869308601698 -0.3095665282306913 -0.9039936113051077
-12 -14 4 -0.447169557369275 -0.3604874775088153 -1.045801027553159
-12 -12 4 -0.5830532664161192 -0.4110692099941164 -1.204819192494422
-12 -10 4 -0.7550451414523958 -0.4526300755400074 -1.377341561143679
-12 -8 4 -0.9626496202388167 -0.4706385901660358 -1.555255211194792
-12 -6 4 -1.193621331501928 -0.445242108502947 -1.724967185253667
-12 -4 4 -1.417275231856241 -0.3573064464232881 -1.8680103340698
-12 -2 4 -1.585195048776257 -0.2016116691633725 -1.964430020942299
-12 0 4 -1.648353971546563 -0.001157112361171878 -1.998828118574399
-12 2 4 -1.585149447669525 0.2018714280558777 -1.964425135752332
-12 4 4 -1.417280213595067 0.3573075101265201 -1.86800836855435
-12 6 4 -1.193630499312652 0.4452398862023708 -1.724971869232852
-12 8 4 -0.9626589642808527 0.4706334250599059 -1.555258842455808
-12 10 4 -0.7550509867175147 0.4526307405843915 -1.377343794182819
-12 12 4 -0.583057390038077 0.4110707059063063 -1.204820558784016
-12 14 4 -0.4471730839288675 0.3604852235738006 -1.045800050530044
-12 16 4 -0.3425969778103573 0.3095519785603483 -0.9039933607364823
-12 18 4 -0.2631480213144849 0.2626407505530368 -0.7801906597065684
-12 20 4 -0.203081030299016 0.2214295844036201 -0.6735119293009563
-10 -20 4 -0.228699497215378 -0.2792072973177807 -0.76991606903078
-10 -18 4 -0.3035960257164694 -0.3405565441057546 -0.9045132086224125
-10 -16 4 -0.4066551419981734 -0.4148156889023347 -1.064774434527735
-10 -14 4 -0.5488844148372556 -0.5021711047064904 -1.253734990188408
-10 -12 4 -0.7448106230066333 -0.5991805472594582 -1.472893620359577
-10 -10 4 -1.009364033471833 -0.6956462659459633 -1.71821463494903
-10 -8 4 -1.355060948043388 -0.7671983760661768 -1.980342534272653
-10 -6 4 -1.774135372060839 -0.7719189266890876 -2.238001312696323
-10 -4 4 -2.216251475505278 -0.6558122193721863 -2.459811123113477
-10 -2 4 -2.572980050065174 -0.3857581199195598 -2.610826483278345
-10 0 4 -2.712741387993976 -4.436736981379015e-05 -2.664379214704946
-10 2 4 -2.572992007597738 0.3857464298752578 -2.610830044097179
-10 4 4 -2.216275921085912 0.6557991783368734 -2.45982723199475
-10 6 4 -1.774153602653218 0.7719165156955667 -2.238008793503306
-10 8 4 -1.355073421790918 0.767203875770687 -1.980350146193639
-10 10 4 -1.009376407112012 0.6956446430596049 -1.718221723204156
-10 12 4 -0.7444983937459448 0.5993389681322736 -1.472550019730726
-10 14 4 -0.5488908315240633 0.5021718396921118 -1.253741257562386
-10 16 4 -0.4066512942192736 0.4148249935478057 -1.064780127738917
-10 18 4 -0.3036011156013413 0.3405561539637113 -0.9045245663698737
-10 20 4 -0.2287092792552112 0.2792017285295328 -0.7699308381119365
-8 -20 4 -0.2524030962871242 -0.3490169080014546 -0.8763650423847574
-8 -18 4 -0.343271698354437 -0.4381206108874669 -1.044668272608879
-8 -16 4 -0.4733610258511618 -0.5524385846283069 -1.25038392352338
-8 -14 4 -0.6618489397355491 -0.6974825371777595 -1.500318289195653
-8 -12 4 -0.9373125822570147 -0.876215494847811 -1.799552302540113
-8 -10 4 -1.3396200009685 -1.082370343162143 -2.147548272621173
-8 -8 4 -1.915866383102699 -1.285400737627514 -2.531047492679065
-8 -6 4 -2.695635399245486 -1.405460149782536 -2.915515442000086
-8 -4 4 -3.621811622748717 -1.29751349321161 -3.243838133151105
-8 -2 4 -4.453465720899143 -0.8143683639063705 -3.457644648016821
-8 0 4 -4.801344058753877 -2.263729634878462e-05 -3.529571151195015
-8 2 4 -4.453498252587527 0.8143401000790517 -3.457648818457626
-8 4 4 -3.62186127757731 1.297491734705001 -3.243850090987653
-8 6 4 -2.695670889219707 1.405466725811863 -2.915525284431723
-8 8 4 -1.915880843983634 1.285438156240172 -2.531066204697493
-8 10 4 -1.339603781242081 1.082399324085295 -2.14755692034409
-8 12 4 -0.9373188578926047 0.8762264170864789 -1.799560962518946
-8 14 4 -0.661874286256001 0.6974732307888941 -1.5003158625736
-8 16 4 -0.4733671831833413 0.5524403039403571 -1.250389644597794
-8 18 4 -0.3432662896359007 0.4381252046533051 -1.044671492320659
-8 20 4 -0.2523991710602607 0.3490165322454232 -0.8763762413870373
-6 -20 4 -0.271280445700283 -0.4307933777771786 -0.9912109488165927
-6 -18 4 -0.377634198457449 -0.5563625846386419 -1.198955976285512
-6 -16 4 -0.5356277525374589 -0.7264442986815139 -1.459507309597407
-6 -14 4 -0.7755492398570345 -0.957913342994235 -1.785547614566318
-6 -12 4 -1.147955267005137 -1.271439355880698 -2.188897383312832
-6 -10 4 -1.736707979544595 -1.684845554819174 -2.673508517441399
-6 -8 4 -2.672915852095973 -2.187637695490431 -3.219132374676881
-6 -6 4 -4.122018273162885 -2.668528331228063 -3.753736172277156
-6 -4 4 -6.142769379330741 -2.780706714556626 -4.141147907641588
-6 -2 4 -8.272342506150995 -1.93754033222959 -4.277210564977768
-6 0 4 -9.262493629321563 -0.000110744953215794 -4.274131418736249
-6 2 4 -8.272443069735443 1.937466826761743 -4.277202886656297
-6 4 4 -6.142886076530986 2.780688895823845 -4.141150960683595
-6 6 4 -4.122097465137974 2.668549910106912 -3.753742402680599
-6 8 4 -2.672952772131184 2.187668024606102 -3.219146094286513
-6 10 4 -1.736728521232143 1.684867784529781 -2.673520997605995
-6 12 4 -1.147963416170809 1.271455185145482 -2.188907511863629
-6 14 4 -0.7755452857309254 0.9579314986329671 -1.785554385712346
-6 16 4 -0.5356236539319749 0.7264527580354836 -1.459513091222822
-6 18 4 -0.3776386125905339 0.5563634470815112 -1.19895604477356
-6 20 4 -0.2712868858685608 0.4307898238824374 -0.9912095461229233
-4 -20 4 -0.2819968451569747 -0.522849444734974 -1.111529877047597
-4 -18 4 -0.4008328243998319 -0.6936458210256243 -1.363616882124089
-4 -16 4 -0.5831223186579604 -0.9363930170455331 -1.687572030124755
-4 -14 4 -0.8715279140978726 -1.288016139274262 -2.104213981881373
-4 -12 4 -1.344001077895628 -1.806060099057234 -2.635237851280364
-4 -10 4 -2.14812846549163 -2.574936985605444 -3.289975894895202
-4 -8 4 -3.566886587818285 -3.692015508088982 -4.024576483601894
-4 -6 4 -6.111711000572638 -5.147947712808966 -4.639196153999254
-4 -4 4 -10.44610738287814 -6.344438305068866 -4.638354243641237
-4 -2 4 -16.18686268614258 -5.226644237072961 -3.582961109349164
-4 0 4 -19.34742898640192 -0.0001813723244626228 -2.68842382959039
-4 2 4 -16.1871696552484 5.22650034521631 -3.58283738182966
-4 4 4 -10.44396241156126 6.347001328440897 -4.637501118373848
-4 6 4 -6.111833949921714 5.148061528725292 -4.639191059440209
-4 8 4 -3.566940022217982 3.692080645312337 -4.024590843890601
-4 10 4 -2.148186513864631 2.574923322266543 -3.289988026047411
-4 12 4 -1.344005643658135 1.806080783470167 -2.635248449061746
-4 14 4 -0.8715292312977948 1.288030586526363 -2.104224100673794
-4 16 4 -0.5831330263856442 0.9363935280626441 -1.687576392345392
-4 18 4 -0.4008300030244471 0.6936605469310411 -1.36365772337185
-4 20 4 -0.2820104946055736 0.5228452983754298 -1.111534641750032
-2 -20 4 -0.2812003361061377 -0.6215960584213853 -1.23312247524118
-2 -18 4 -0.4066880476127229 -0.844693198906953 -1.532808618151729
-2 -16 4 -0.6040040036793459 -1.174675296209106 -1.926131924183737
-2 -14 4 -0.9258491789608856 -1.67800136842452 -2.444407027519718
-2 -12 4 -1.474624639336807 -2.472527054267652 -3.121643571607236
-2 -10 4 -2.461911714150733 -3.77151160021797 -3.970881964342276
-2 -8 4 -4.352034061190458 -5.950575252410485 -4.887520744510297
-2 -6 4 -8.19853156782097 -9.537057745849133 -5.308297675536679
-2 -4 4 -16.16329589090813 -14.33794487507467 -3.288858511952597
-2 -2 4 -29.93729309122574 -14.92088729222504 4.467855966041266
-2 0 4 -39.44031938592175 -0.0005925049679568831 11.54854756134576
-2 2 4 -29.93809536088608 14.92066676809396 4.468638520078988
-2 4 4 -16.16376423144075 14.33823410552941 -3.288555824485294
-2 6 4 -8.198675057456866 9.537325785918544 -5.308249686567571
-2 8 4 -4.352086117469107 5.950693049957461 -4.887524513907302
-2 10 4 -2.461934101595681 3.771567514538411 -3.970900992826451
-2 12 4 -1.474635491891078 2.472554066071004 -3.121655929640379
-2 14 4 -0.9258396467836461 1.678026311192947 -2.444387587970041
-2 16 4 -0.6039998256374033 1.174693771813296 -1.926107468186823
-2 18 4 -0.4066837971846106 0.8446970601260984 -1.532812764349194
-2 20 4 -0.281207801815428 0.6215931678789939 -1.23312498355921
0 -20 4 -0.2663339764742434 -0.7215684813761579 -1.350637406075607
0 -18 4 -0.4235315562113587 -1.005124116786313 -1.721432416231623
0 -16 4 -0.5881253205072188 -1.42566069701994 -2.163117863203708
0 -14 4 -0.9165148874632745 -2.099641021278048 -2.787559962536315
0 -12 4 -1.48819232783389 -3.217701868243207 -3.619552040746282
0 -10 4 -2.691457849925305 -5.187741186537687 -4.709544105917185
0 -8 4 -4.629693362530325 -8.786871361702177 -5.743559324028667
0 -6 4 -9.112853048826826 -15.69346317909748 -5.610339272402229
0 -4 4 -19.37051933926431 -27.7085394065388 1.008767076505397
0 -2 4 -39.41646649265244 -35.53495544213884 27.70379198551185
0 0 4 -55.28665288903002 -0.001418275530667528 56.62699929981672
0 2 4 -39.41651341845523 35.53500043648879 27.70616007533888
0 4 4 -19.32205422420545 27.72536649556317 0.9937874073800405
0 6 4 -9.10986033775176 15.69312697729293 -5.609168505462
0 8 4 -4.629912720472377 8.787087487051416 -5.743675598061188
0 10 4 -2.541348365255792 5.173257702703034 -4.673128278917112
0 12 4 -1.487606159617336 3.217733890273278 -3.619568129118865
0 14 4 -0.8995218873641693 2.095533340190019 -2.77194182486545
0 16 4 -0.5880994160734422 1.425669136144193 -2.163106484454045
0 18 4 -0.390250711459033 1.000406836704129 -1.698442916509166
0 20 4 -0.2664684610132255 0.7215550679419725 -1.35061569724425
2 -20 4 -0.2362862560992562 -0.8159941587366802 -1.458030135756481
2 -18 4 -0.349213091452197 -1.149097489338076 -1.85128697814167
2 -16 4 -0.5306708955058412 -1.667857717184651 -2.383968099629497
2 -14 4 -0.8328671485894378 -2.510521717555132 -3.11049361352691
2 -12 4 -1.357972072494551 -3.95020865918286 -4.092683679413438
2 -10 4 -2.317744550999242 -6.560457471499443 -5.345340465432746
2 -8 4 -4.177158170484133 -11.60732216856478 -6.564219878711813
2 -6 4 -7.989888370678393 -21.83162613202369 -5.872748119355982
2 -4 4 -15.91372681625684 -41.07249913228352 5.322138718546718
2 -2 4 -29.62843338928043 -56.1043098035366 50.93075933327381
2 0 4 -39.08631079036004 -0.00120606904316018 101.6286142803276
2 2 4 -29.62757625146151 56.10419156599279 50.9327104750125
2 4 4 -15.91347436567762 41.07273427054786 5.322996884947501
2 6 4 -7.989822461816434 21.83196280030001 -5.872653817779609
2 8 4 -4.177124480240052 11.60747392796516 -6.56422481991014
2 10 4 -2.317747351447784 6.560528368593584 -5.345357656766885
2 12 4 -1.357988964156878 3.950211604716762 -4.092693377202053
2 14 4 -0.8328622492844653 2.510539411414339 -3.110503872771933
2 16 4 -0.5306685593867976 1.667869416148062 -2.383977481880004
2 18 4 -0.3492186098995539 1.149099720613542 -1.851293051401669
2 20 4 -0.2363051621729192 0.8159959637997065 -1.458027630029759
4 -20 4 -0.1917408199509029 -0.8979196177371691 -1.549219918612567
4 -18 4 -0.2847471420878223 -1.278607658430232 -1.981906870888104
4 -16 4 -0.4340530843270823 -1.878992134587882 -2.573865689852403
4 -14 4 -0.6809651301939448 -2.866997125879373 -3.389639906520697
4 -12 4 -1.102588472976702 -4.576605766675096 -4.503464187651135
4 -10 4 -1.846710567503418 -7.711098634077209 -5.934071807929936
4 -8 4 -3.197986894459032 -13.81563624103 -7.317617057827395
4 -6 4 -5.671247354318377 -26.16722213652325 -6.416968728391577
4 -4 4 -9.932651695280342 -49.00407252011879 6.800694416810916
4 -2 4 -15.60990936207032 -65.7371512012396 59.07894947009868
4 0 4 -18.73944457557758 -0.0004264795878579902 115.9209007104082
4 2 4 -15.60926850359101 65.73694048144007 59.0794312637564
4 4 4 -9.932284866140023 49.00409607445561 6.801024857945668
4 6 4 -5.671085290077722 26.16743302627857 -6.416923374579543
4 8 4 -3.197932414279549 13.8157295947195 -7.31762787991229
4 10 4 -1.846702275152727 7.711135043522354 -5.934098505919248
4 12 4 -1.102605286471845 4.576623627237209 -4.503462555736242
4 14 4 -0.6809641549050373 2.867011763334727 -3.389648553853033
4 16 4 -0.4340392099329617 1.879005448716326 -2.573869646155134
4 18 4 -0.2847341811751245 1.278614839786843 -1.981911035379307
4 20 4 -0.191738266829569 0.8979216945675198 -1.549224944794024
6 -20 4 -0.1351079395492844 -0.9610497306487777 -1.618719488307043
6 -18 4 -0.2009730122330617 -1.378463310010668 -2.081835535490907
6 -16 4 -0.3063076265125148 -2.040889647354587 -2.719575046026257
6 -14 4 -0.478458160098658 -3.136554450980997 -3.604148808797659
6 -12 4 -0.7654748979175615 -5.037079441473733 -4.819397178301672
6 -10 4 -1.250216182130399 -8.514183860855015 -6.38987414387625
6 -8 4 -2.066236727535705 -15.2240099211985 -7.929625401872059
6 -6 4 -3.387038351542582 -28.54925952589984 -7.077208641014998
6 -4 4 -5.286763550886207 -52.48235926370163 6.55305963412368
6 -2 4 -7.325372439951952 -68.96851743247613 60.03208774733878
6 0 4 -8.280625289276044 -0.0001510558982059771 117.7642563674566
6 2 4 -7.325149079527963 68.96839914211336 60.0321551578764
6 4 4 -5.286470393868819 52.48247414691135 6.553147376382277
6 6 4 -3.386921473624121 28.54933697624919 -7.077207491871139
6 8 4 -2.066186132704228 15.2240577236763 -7.929638807363276
6 10 4 -1.250193011789002 8.514213377496786 -6.389890007383928
6 12 4 -0.7654564325102997 5.037096540589472 -4.819406157994892
6 14 4 -0.4784422279374577 3.136568820387946 -3.604159466229316
6 16 4 -0.3063202447577684 2.040895832346309 -2.719571021585287
6 18 4 -0.2009964300032286 1.378469128306796 -2.081830324896668
6 20 4 -0.1350683007600924 0.9611276626808699 -1.618716928041483
8 -20 4 -0.06972509920236306 -1.000929124834496 -1.662221787552643
8 -18 4 -0.1038492608814716 -1.441192238525799 -2.144530270194038
8 -16 4 -0.1580800996357335 -2.141843816049206 -2.811060681572064
8 -14 4 -0.2458191440264862 -3.302068883882967 -3.738795724375076
8 -12 4 -0.389230061461183 -5.311726825337819 -5.017469664478515
8 -10 4 -0.6223991237400788 -8.970101646729331 -6.676412209980205
8 -8 4 -0.9947233408476763 -15.95733508730902 -8.324224536983337
8 -6 4 -1.545261767220836 -29.63763734130681 -7.567134707626273
8 -4 4 -2.247924084925943 -53.81408806331589 6.052025420574824
8 -2 4 -2.910571702074834 -70.00103841583746 59.6411267560239
8 0 4 -3.194613401698251 -5.06804311537821e-05 117.4594464043474
8 2 4 -2.910502875405341 70.00099252015249 59.64112932541337
8 4 4 -2.247831382416139 53.81405997791713 6.052032650169076
8 6 4 -1.545208271927783 29.63767596492045 -7.567143568528564
8 8 4 -0.9946947491921595 15.95735712001608 -8.324236972655831
8 10 4 -0.6230999053022289 8.969345823543131 -6.67628927151106
8 12 4 -0.389210437014248 5.311739051959825 -5.017479311307042
8 14 4 -0.2458176778295551 3.3020814014912 -3.738817214174998
8 16 4 -0.1580926829220824 2.141854721599795 -2.811060646672995
8 18 4 -0.1038539847978647 1.441194041998844 -2.144531766845486
8 20 4 -0.06970863874750372 1.00092261870257 -1.662207289444193
10 -20 4 5.225495690635096e-06 -1.014511405445996 -1.677040049617786
10 -18 4 -3.495276466147538e-06 -1.462549557981533 -2.165885368296384
10 -16 4 -1.388605361102127e-05 -2.176057934299225 -2.842231457041547
10 -14 4 1.186499006626558e-05 -3.357616583822717 -3.784633094862695
10 -12 4 -2.903549545192932e-05 -5.402224304753512 -5.084830631294453
10 -10 4 -3.874075227795281e-05 -9.114732234640721 -6.773673259292862
10 -8 4 -6.584328908785007e-05 -16.18020750547023 -8.459570778725892
10 -6 4 -9.725215954025134e-05 -29.94504891534765 -7.742055172223944
10 -4 4 -0.0001640155458340206 -54.15704978792146 5.848714562560845
10 -2 4 -0.0002029465596844517 -70.24500255079428 59.42908524107883
10 0 4 -0.0001808655249903362 0.0003869901742831908 117.2482844696291
10 2 4 -0.0001805728005241573 70.24497719587436 59.42907959507107
10 4 4 0.0004410572145190207 54.15767355297611 5.848887678165148
10 6 4 -8.178127016420895e-05 29.94504400356379 -7.742062565857003
10 8 4 -4.937018259118526e-05 16.18021495331159 -8.459582116814719
10 10 4 -3.970674170259369e-05 9.114720379290846 -6.773683802004993
10 12 4 -2.613255301711499e-05 5.402239103324704 -5.084831992418573
10 14 4 -1.563123601014912e-05 3.357608817728246 -3.784649693088653
10 16 4 -8.422602509553254e-06 2.176057522577373 -2.842234177394039
10 18 4 -9.223706051456502e-06 1.462555902523595 -2.165891475512694
10 20 4 -1.118618867212089e-05 1.014515357409207 -1.677044138355982
12 -20 4 0.06975808267752651 -1.000934850462324 -1.662237962970178
12 -18 4 0.1038471953278014 -1.441197092152084 -2.144533773113973
12 -16 4 0.158085652100948 -2.141856575182467 -2.811062176563221
12 -14 4 0.2457881046825982 -3.302082718109151 -3.738808992340014
12 -12 4 0.3891703574040296 -5.311737355222521 -5.017488741697809
12 -10 4 0.6230374131654576 -8.969372810443714 -6.676302148096341
12 -8 4 0.9945886738115408 -15.95740513459814 -8.324269193745639
12 -6 4 1.545031661527728 -29.63775651716115 -7.567190494121452
12 -4 4 2.247538502284653 -53.81420116628845 6.051951227854081
12 -2 4 2.910035353051478 -70.00112330039495 59.64105371008046
12 0 4 3.194042193638642 -8.417684639777052e-06 117.4593669173139
12 2 4 2.909956934639084 70.00081542888458 59.6410356161961
12 4 4 2.247529224309781 53.81425732188759 6.051936190412806
12 6 4 1.544990567476333 29.63780797620197 -7.567278773533539
12 8 4 0.994595962778504 15.95740684351021 -8.324274421123453
12 10 4 0.6230386000842728 8.969378941845271 -6.676315171224329
12 12 4 0.3891814618753986 5.31175775510746 -5.017497305297335
12 14 4 0.2457944656568605 3.302088265642805 -3.738813175274428
12 16 4 0.1581178319662905 2.141872253664447 -2.811061088889254
12 18 4 0.1038437131421473 1.441194824132294 -2.144522243010876
12 20 4 0.06972780533287971 1.000933186785048 -1.662229047559828
14 -20 4 0.1353667834980755 -0.9611304864544822 -1.61872198865988
14 -18 4 0.2009638497606012 -1.378475620857499 -2.081851273093576
14 -16 4 0.3062980209170054 -2.040905278520344 -2.719582971025177
14 -14 4 0.4784428767453183 -3.136583570483664 -3.604173277827925
14 -12 4 0.7654100346761744 -5.037151622209668 -4.819432332951496
14 -10 4 1.2501425431605 -8.514270767073608 -6.389935242154652
14 -8 4 2.066072477939481 -15.22416876038345 -7.929711333902111
14 -6 4 3.38672789043163 -28.54953089799385 -7.077324749065486
14 -4 4 5.286145729527647 -52.4827153488565 6.55297481654396
14 -2 4 7.324310089738422 -68.96879319362311 60.03207484978354
14 0 4 8.279431442705189 -1.579524962716285e-05 117.7642700338761
14 2 4 7.324315076703533 68.96879249923789 60.03207080104672
14 4 4 5.286097149402532 52.48275281230733 6.552983316477182
14 6 4 3.386729364045482 28.54952095611517 -7.077319752758779
14 8 4 2.066086976698393 15.22417131616734 -7.929714851827225
14 10 4 1.250140824942744 8.51427701381251 -6.389938403715878
14 12 4 0.7654286418820402 5.037134002214999 -4.819438697789523
14 14 4 0.4784341269103038 3.136583857651261 -3.604177869377392
14 16 4 0.3063020058349795 2.0409055670522 -2.719585952763895
14 18 4 0.2009694608360014 1.37847354859482 -2.081852746970509
14 20 4 0.1344606611327766 0.9611088539220536 -1.618647429955345
16 -20 4 0.1917610168792531 -0.8979265753021406 -1.549230240247821
16 -18 4 0.2847469791489665 -1.278623974223286 -1.981927600692275
16 -16 4 0.4340360595788426 -1.879018397367737 -2.573889662665947
16 -14 4 0.6809483658288945 -2.86703789686845 -3.389673814795228
16 -12 4 1.102580016821247 -4.57667192132771 -4.503504209022223
16 -10 4 1.846656296163188 -7.711220151555747 -5.934162785796943
16 -8 4 3.197849625751584 -13.81590817112465 -7.31773357052654
16 -6 4 5.670907786332483 -26.16780193287724 -6.417083396396456
16 -4 4 9.931697210282508 -49.00507640948582 6.800804789134566
16 -2 4 15.60768530081158 -65.73822539568019 59.07978694712583
16 0 4 18.73657701289638 0.0001339007839241643 115.9221493741693
16 2 4 15.60768529898626 65.73822347852274 59.07978740409364
16 4 4 9.931687254704162 49.00507547036366 6.800813146903507
16 6 4 5.670887200082683 26.16780175824523 -6.417082344832875
16 8 4 3.197851217758605 13.81591003619302 -7.317738881764317
16 10 4 1.846659042472712 7.711219963429553 -5.93416524409291
16 12 4 1.10257507426295 4.576674721485461 -4.503507305287773
16 14 4 0.6809461893501071 2.867037477772493 -3.389673889775755
16 16 4 0.4340360191876109 1.879018396121687 -2.573885020445956
16 18 4 0.2847442786265544 1.278621993663036 -1.981922104261483
16 20 4 0.1917206164943402 0.8979286136795301 -1.549228340460364
18 -20 4 0.2363116270718521 -0.8159960719889352 -1.458049386088194
18 -18 4 0.3492132986153887 -1.149113649659571 -1.851310046563834
18 -16 4 0.5306617208221819 -1.667889307423218 -2.3839964518109
18 -14 4 0.8328518050898984 -2.51057182127351 -3.110536555282915
18 -12 4 1.357951931485717 -3.950298490679429 -4.092751033819448
18 -10 4 2.31769726538076 -6.560645315430879 -5.345439999106628
18 -8 4 4.177077879448206 -11.60770930944924 -6.564354238924644
18 -6 4 7.989715315239384 -21.83251809322299 -5.872841951477702
18 -4 4 15.91355705620751 -41.07301342247452 5.3227879904177
18 -2 4 29.62600599526769 -56.10751426426594 50.93461938431807
18 0 4 39.08250702502889 1.684505686937958e-05 101.6353429428895
18 2 4 29.62601148499438 56.10750815155156 50.9346192316403
18 4 4 15.91087988326204 41.0778404820214 5.32539110279257
18 6 4 7.989750679700542 21.83251806637048 -5.87286380644823
18 8 4 4.17707998604604 11.60770863234846 -6.564355693274826
18 10 4 2.317714496455677 6.560642185974715 -5.345441550671426
18 12 4 1.357953634289046 3.950299626991164 -4.092750432565839
18 14 4 0.8328516130742153 2.510572149210232 -3.11053734280858
18 16 4 0.5307426541939354 1.667892416259607 -2.383996838784852
18 18 4 0.3492027458151033 1.14911624573092 -1.851309709249322
18 20 4 0.2362803285699216 0.8160094246019414 -1.458049673271241
20 -20 4 0.2150048388381513 -0.7220907664307876 -1.353528636088961
20 -18 4 0.3889405915059678 -1.000350314488989 -1.698169668775159
20 -16 4 0.5881488754607574 -1.425681598644268 -2.163119885873577
20 -14 4 0.9165222792971326 -2.099684429837621 -2.787575604149918
20 -12 4 1.486591896052298 -3.217824773380818 -3.6196962630466
20 -10 4 2.456545381056757 -5.174218152321261 -4.675343425622953
20 -8 4 4.629645247358732 -8.787280578497951 -5.743718538142449
20 -6 4 9.113095131106132 -15.69438511653875 -5.610379284253058
20 -4 4 19.26150055288104 -27.72049962448529 0.9995016096566728
20 -2 4 39.41759267278772 -35.53880012749398 27.70845730593652
20 0 4 55.28927311290934 -0.0007183985147581243 56.63556010969163
20 2 4 39.44173570867632 35.54118716313407 27.70717643153451
20 4 4 19.26253791799908 27.72077270449703 0.9998286915391728
20 6 4 9.112826395443296 15.69435537157817 -5.610320221116878
20 8 4 4.629841155446778 8.787319381535584 -5.743798160423807
20 10 4 5.365588491711902 5.387435119836311 -5.208467205165358
20 12 4 1.48760198570912 3.217792987996203 -3.619603361606464
20 14 4 0.9152896097213589 2.099496091850982 -2.78682948686998
20 16 4 0.5882062169885741 1.425689829526871 -2.163094362450535
20 18 4 0.3905145598755208 1.000421372125813 -1.698444945716594
20 20 4 0.2627929236857022 0.72136928426549 -1.349614640249095

447
data/pipeline/pipeline_mag_pot.txt Normal file
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@ -0,0 +1,447 @@
# cal-type: potential gradient tensor
# mag-file: data/pipeline/magz.txt
# obs-file: data/pipeline/pipeline
# site-file: data/pipeline/site.txt
# tet-file: data/pipeline/pipeline
# x(m) y(m) z(m) V
-20 -20 4 1.62892084675102e-09
-20 -18 4 1.807098153953979e-09
-20 -16 4 1.998204866482529e-09
-20 -14 4 2.199153418401416e-09
-20 -12 4 2.40488533694188e-09
-20 -10 4 2.608039650396207e-09
-20 -8 4 2.79891785236268e-09
-20 -6 4 2.965966204428356e-09
-20 -4 4 3.096954746010336e-09
-20 -2 4 3.180804851718554e-09
-20 0 4 3.209700021699729e-09
-20 2 4 3.180810696709826e-09
-20 4 4 3.096960456409178e-09
-20 6 4 2.965969367454639e-09
-20 8 4 2.798920121926967e-09
-20 10 4 2.608044423827448e-09
-20 12 4 2.404892062898809e-09
-20 14 4 2.199160248877402e-09
-20 16 4 1.998208818298516e-09
-20 18 4 1.807104063368028e-09
-20 20 4 1.628921929779532e-09
-18 -20 4 1.873861449023509e-09
-18 -18 4 2.101792614001236e-09
-18 -16 4 2.351339310222126e-09
-18 -14 4 2.619562481826676e-09
-18 -12 4 2.900559384735314e-09
-18 -10 4 3.184620454235852e-09
-18 -8 4 3.457712002413451e-09
-18 -6 4 3.701833070309234e-09
-18 -4 4 3.896721982056226e-09
-18 -2 4 4.023123172560499e-09
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447
data/pipeline/pipeline_mag_tensor.txt Normal file
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@ -0,0 +1,447 @@
# cal-type: potential gradient tensor
# mag-file: data/pipeline/magz.txt
# obs-file: data/pipeline/pipeline
# site-file: data/pipeline/site.txt
# tet-file: data/pipeline/pipeline
# x(m) y(m) z(m) Txx(nT/m) Txy(nT/m) Txz(nT/m) Tyx(nT/m) Tyy(nT/m) Tyz(nT/m) Tzx(nT/m) Tzy(nT/m) Tzz(nT/m)
-20 -20 4 -0.008871351164874921 -0.0100383649309346 -0.02628448375225089 -0.01003836500488694 -0.003643524895762854 -0.01980196651600856 -0.02628448354089131 -0.01980196594385253 0.01251487603460789
-20 -18 4 -0.01173854897927813 -0.01172048932884532 -0.0311232671649938 -0.01172048940044547 -0.00326428722544177 -0.02125921607541724 -0.03112326738003893 -0.02125921626875357 0.01500283667449539
-20 -16 4 -0.01539760839006075 -0.01344075396120354 -0.03665916157578225 -0.01344075420970133 -0.0025018207720877 -0.02242442263682964 -0.03665916155362091 -0.02242442282398223 0.01789942882603297
-20 -14 4 -0.01995470650563806 -0.01503327004677426 -0.04285249385749403 -0.01503327009675129 -0.00124439491789242 -0.02310492966808422 -0.04285249396665203 -0.02310492953611226 0.02119910108627083
-20 -12 4 -0.02544101092904549 -0.01624553140865673 -0.04957447963829917 -0.0162455314893998 0.0005943622232204795 -0.02307245795921571 -0.0495744796465423 -0.02307245734805702 0.0248466491207929
-20 -10 4 -0.03174439886519694 -0.01674214004056307 -0.05657729442060255 -0.01674213997489163 0.003028439982377499 -0.02208665113244442 -0.05657729478008335 -0.02208665107178627 0.02871595896257527
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12 -2 4 1.682011474647477 0.2654454074440287 0.1966175047627001 0.265445407134578 6.663708142388042 39.17341394478859 0.1966175057292388 39.17341394403152 -8.34571961679945
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/sg /setgray ldef
/w /setlinewidth ldef
/j /setlinejoin ldef
/cap /setlinecap ldef
/rc {rectclip} bdef
/rf {rectfill} bdef
% page state control
/pgsv () def
/bpage {/pgsv save def} bdef
/epage {pgsv restore} bdef
/bplot /gsave ldef
/eplot {stroke grestore} bdef
% orientation switch
/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def
% coordinate system mappings
/dpi2point 0 def
% font control
/FontSize 0 def
/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0]
makefont setfont} bdef
/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse
exch dup 3 1 roll findfont dup length dict begin
{ 1 index /FID ne {def}{pop pop} ifelse } forall
/Encoding exch def currentdict end definefont pop} bdef
/isroman {findfont /CharStrings get /Agrave known} bdef
/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse
exch FMS} bdef
/csm {1 dpi2point div -1 dpi2point div scale neg translate
dup landscapeMode eq {pop -90 rotate}
{rotateMode eq {90 rotate} if} ifelse} bdef
% line types: solid, dotted, dashed, dotdash
/SO { [] 0 setdash } bdef
/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef
/DA { [6 dpi2point mul] 0 setdash } bdef
/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4
dpi2point mul] 0 setdash } bdef
% macros for lines and objects
/L {lineto stroke} bdef
/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef
/AP {{rlineto} repeat} bdef
/PDlw -1 def
/W {/PDlw currentlinewidth def setlinewidth} def
/PP {closepath eofill} bdef
/DP {closepath stroke} bdef
/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto
neg 0 exch rlineto closepath} bdef
/FR {MR stroke} bdef
/PR {MR fill} bdef
/L1i {{currentfile picstr readhexstring pop} image} bdef
/tMatrix matrix def
/MakeOval {newpath tMatrix currentmatrix pop translate scale
0 0 1 0 360 arc tMatrix setmatrix} bdef
/FO {MakeOval stroke} bdef
/PO {MakeOval fill} bdef
/PD {currentlinewidth 2 div 0 360 arc fill
PDlw -1 eq not {PDlw w /PDlw -1 def} if} def
/FA {newpath tMatrix currentmatrix pop translate scale
0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef
/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale
0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef
/FAn {newpath tMatrix currentmatrix pop translate scale
0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef
/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale
0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef
/vradius 0 def /hradius 0 def /lry 0 def
/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def
/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef
/ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly
vradius add translate hradius vradius scale 0 0 1 180 270 arc
tMatrix setmatrix lrx hradius sub uly vradius add translate
hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix
lrx hradius sub lry vradius sub translate hradius vradius scale
0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub
translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix
closepath} bdef
/FRR {MRR stroke } bdef
/PRR {MRR fill } bdef
/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def
newpath tMatrix currentmatrix pop ulx rad add uly rad add translate
rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad
sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix
closepath} bdef
/FlrRR {MlrRR stroke } bdef
/PlrRR {MlrRR fill } bdef
/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def
newpath tMatrix currentmatrix pop ulx rad add uly rad add translate
rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad
sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix
closepath} bdef
/FtbRR {MtbRR stroke } bdef
/PtbRR {MtbRR fill } bdef
/stri 6 array def /dtri 6 array def
/smat 6 array def /dmat 6 array def
/tmat1 6 array def /tmat2 6 array def /dif 3 array def
/asub {/ind2 exch def /ind1 exch def dup dup
ind1 get exch ind2 get sub exch } bdef
/tri_to_matrix {
2 0 asub 3 1 asub 4 0 asub 5 1 asub
dup 0 get exch 1 get 7 -1 roll astore } bdef
/compute_transform {
dmat dtri tri_to_matrix tmat1 invertmatrix
smat stri tri_to_matrix tmat2 concatmatrix } bdef
/ds {stri astore pop} bdef
/dt {dtri astore pop} bdef
/db {2 copy /cols xdef /rows xdef mul dup 3 mul string
currentfile
3 index 0 eq {/ASCIIHexDecode filter}
{/ASCII85Decode filter 3 index 2 eq {/RunLengthDecode filter} if }
ifelse exch readstring pop
dup 0 3 index getinterval /rbmap xdef
dup 2 index dup getinterval /gbmap xdef
1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef
/it {gs np dtri aload pop moveto lineto lineto cp c
cols rows 8 compute_transform
rbmap gbmap bbmap true 3 colorimage gr}bdef
/il {newpath moveto lineto stroke}bdef
currentdict end def
%%EndProlog
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MathWorks begin
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bplot
/dpi2point 12 def
portraitMode 1740 6192 csm
0 0 3840 2880 rc
85 dict begin %Colortable dictionary
/c0 { 0.000000 0.000000 0.000000 sr} bdef
/c1 { 1.000000 1.000000 1.000000 sr} bdef
/c2 { 0.900000 0.000000 0.000000 sr} bdef
/c3 { 0.000000 0.820000 0.000000 sr} bdef
/c4 { 0.000000 0.000000 0.800000 sr} bdef
/c5 { 0.910000 0.820000 0.320000 sr} bdef
/c6 { 1.000000 0.260000 0.820000 sr} bdef
/c7 { 0.000000 0.820000 0.820000 sr} bdef
c0
1 j
1 sg
0 0 3841 2881 rf
6 w
0 2185 2281 0 0 -2185 570 2473 4 MP
PP
-2281 0 0 2185 2281 0 0 -2185 570 2473 5 MP stroke
gs 570 288 2282 2186 rc
/c8 { 0.000000 0.000000 0.562500 sr} bdef
c8
24 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
24 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 24 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 24 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 570 287 100 MP
0 23 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 23 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 23 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 23 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 23 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 23 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 23 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 22 0 1 100 AP
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-24 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -24 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -24 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -24 0 0 0 100 AP
0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22
0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -23 0 -22
0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22
0 -22 0 -22 0 -22 0 -22 0 -23 0 -22 0 -22 0 -22
0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22
0 -22 0 -22 0 -23 0 -22 0 -22 0 -22 0 -22 0 -22
0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22
0 -23 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22
0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -23 0 -22
0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22
0 -22 0 -22 0 -22 0 -22 0 -23 0 -22 0 -22 0 -22
0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22
0 -22 0 -22 -1 -23 0 0 100 AP
1 -1 1 AP
PP
0 sg
0 0 1 -1 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22
0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22
0 -23 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22
0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -23 0 -22
0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22
0 -22 0 -22 0 -22 0 -22 0 -23 0 -22 0 -22 0 -22
0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22
0 -22 0 -22 0 -23 0 -22 0 -22 0 -22 0 -22 0 -22
0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22
0 -23 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22
0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -23 0 -22
0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22 0 -22
0 -22 0 -22 0 -22 0 -22 -1 -23 0 0 -23 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -24 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -24 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-24 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
-24 0 0 0 0 23 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 23 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 23 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 23 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 23 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 23 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 23 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 22 2851 332 300 MP stroke
0 22 0 22 0 1 24 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 24 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 24 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 24 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
23 0 23 0 23 0 23 0 23 0 23 0 570 287 103 MP stroke
/c9 { 0.000000 0.000000 1.000000 sr} bdef
c9
-23 -16 -2 -1 -22 -12 -23 -8 -6 -2 -17 -6 -23 -9 -21 -7
-2 -1 -23 -10 -23 -6 -17 -5 -6 -2 -23 -8 -23 -8 -20 -5
-3 0 -23 -3 -23 -5 -23 -5 -23 -5 -23 -3 -8 -1 -15 -1
-23 -2 -23 -2 -23 -3 -23 -1 -23 -1 -23 0 -23 -1 -23 -1
-24 0 -23 1 -23 0 -23 1 -23 1 -23 2 -23 1 -23 2
-23 3 -12 1 -11 2 -23 3 -23 3 -23 4 -23 6 -20 4
-3 1 -23 5 -23 7 -23 9 -1 1 -22 6 -23 8 -20 8
-3 1 -23 6 -23 6 -23 8 -2 1 -22 14 0 8 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 23 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 23
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 8 2851 986 100 MP
23 6 23 4 19 2 4 0 23 2 23 2 23 3 23 2
23 0 23 1 23 1 23 1 24 0 23 -1 23 0 23 -1
23 -1 23 -1 23 -1 23 -2 23 -2 23 -3 1 0 22 -3
23 -3 23 -4 23 -5 23 -5 9 -2 14 -4 23 -5 23 -9
13 -5 10 -3 23 -7 23 -8 8 -4 15 -4 23 -6 23 -6
13 -6 10 -6 24 -13 8 -3 15 -5 23 -15 2 -2 20 -22
1 -1 23 -15 6 -6 17 -15 12 -7 11 -6 23 -13 2 -3
11 -22 10 -22 0 0 17 -22 6 -13 4 -9 10 -22 9 -19
2 -4 11 -22 5 -22 5 -17 1 -5 6 -22 3 -22 2 -22
-1 -22 -5 -22 -5 -22 -1 -4 -4 -18 -2 -22 -8 -22 -9 -18
-3 -4 -11 -23 -9 -17 -2 -5 -11 -22 -10 -14 -6 -8 -17 -18
-4 -4 -19 -20 -2 -2 -20 -22 -1 -1 -23 -21 -1 0 -22 -16
-9 -6 -14 -11 -17 -11 -6 -5 100 AP
24 8 18 6 5 2 23 8 23 9 8 3 15 8 23 6
23 7 6 1 17 6 23 8 23 8 7 1 16 2 23 4
23 4 17 AP
PP
0 sg
0 0 24 8 18 6 5 2 23 8 23 9 8 3 15 8
23 6 23 7 6 1 17 6 23 8 23 8 7 1 16 2
23 4 23 4 23 6 23 4 19 2 4 0 23 2 23 2
23 3 23 2 23 0 23 1 23 1 23 1 24 0 23 -1
23 0 23 -1 23 -1 23 -1 23 -1 23 -2 23 -2 23 -3
1 0 22 -3 23 -3 23 -4 23 -5 23 -5 9 -2 14 -4
23 -5 23 -9 13 -5 10 -3 23 -7 23 -8 8 -4 15 -4
23 -6 23 -6 13 -6 10 -6 24 -13 8 -3 15 -5 23 -15
2 -2 20 -22 1 -1 23 -15 6 -6 17 -15 12 -7 11 -6
23 -13 2 -3 11 -22 10 -22 0 0 17 -22 6 -13 4 -9
10 -22 9 -19 2 -4 11 -22 5 -22 5 -17 1 -5 6 -22
3 -22 2 -22 -1 -22 -5 -22 -5 -22 -1 -4 -4 -18 -2 -22
-8 -22 -9 -18 -3 -4 -11 -23 -9 -17 -2 -5 -11 -22 -10 -14
-6 -8 -17 -18 -4 -4 -19 -20 -2 -2 -20 -22 -1 -1 -23 -21
-1 0 -22 -16 -9 -6 -14 -11 -17 -11 -6 -5 -23 -16 -2 -1
-22 -12 -23 -8 -6 -2 -17 -6 -23 -9 -21 -7 -2 -1 -23 -10
-23 -6 -17 -5 -6 -2 -23 -8 -23 -8 -20 -5 -3 0 -23 -3
-23 -5 -23 -5 -23 -5 -23 -3 -8 -1 -15 -1 -23 -2 -23 -2
-23 -3 -23 -1 -23 -1 -23 0 -23 -1 -23 -1 -24 0 -23 1
-23 0 -23 1 -23 1 -23 2 -23 1 -23 2 -23 3 -12 1
-11 2 -23 3 -23 3 -23 4 -23 6 -20 4 -3 1 -23 5
-23 7 -23 9 -1 1 -22 6 -23 8 -20 8 -3 1 -23 6
-23 6 -23 8 -2 1 -22 14 0 8 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 23
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 23 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 8 2851 986 218 MP stroke
/c10 { 0.000000 0.500000 1.000000 sr} bdef
c10
-8 -22 -7 -22 -7 -22 0 -2 -6 -20 -14 -22 -3 -5 -16 -17
-7 -9 -12 -14 -11 -12 -9 -10 -14 -16 -6 -6 -17 -16 -9 -6
-15 -9 -23 -10 -5 -3 -18 -10 -22 -12 -1 0 -23 -13 -23 -9
0 0 -23 -5 -23 -5 -23 -5 -23 -5 -10 -2 -13 -4 -23 -3
-23 -4 -23 -4 -23 -4 -23 -2 -17 -1 -6 -1 -23 -2 -23 -3
-23 -2 -23 -1 -23 -1 -23 -1 -23 0 -23 -1 -24 0 -23 1
-23 1 -23 0 -23 1 -23 2 -23 2 -23 2 -23 3 0 0
-23 2 -23 2 -23 4 -23 4 -23 4 -23 4 -8 2 -15 3
-23 4 -23 4 -23 5 -18 6 -5 2 -23 7 -23 6 -19 7
-4 2 -23 19 -2 1 -22 18 0 4 0 22 0 22 0 22
0 23 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 23 0 22
0 22 0 22 0 4 2851 1144 100 MP
24 10 15 8 8 3 23 13 10 6 13 7 23 12 12 3
11 2 23 5 23 5 23 6 18 4 5 2 23 3 23 4
23 4 23 4 23 3 23 2 5 0 18 2 23 2 23 3
23 2 23 0 23 1 23 1 23 1 24 0 23 0 23 -1
23 -1 23 -1 23 -1 23 -2 23 -2 23 -3 12 -1 11 -1
23 -2 23 -3 23 -4 23 -4 23 -4 19 -4 4 -1 23 -4
23 -4 23 -4 23 -7 7 -2 16 -6 23 -6 23 -6 8 -4
15 -12 13 -10 10 -8 23 -14 1 0 23 -19 3 -3 20 -10
23 -12 0 0 10 -22 10 -23 3 -5 11 -17 9 -22 3 -12
4 -10 9 -22 8 -22 2 -11 1 -11 -1 -11 -1 -11 79 AP
PP
0 sg
0 0 24 10 15 8 8 3 23 13 10 6 13 7 23 12
12 3 11 2 23 5 23 5 23 6 18 4 5 2 23 3
23 4 23 4 23 4 23 3 23 2 5 0 18 2 23 2
23 3 23 2 23 0 23 1 23 1 23 1 24 0 23 0
23 -1 23 -1 23 -1 23 -1 23 -2 23 -2 23 -3 12 -1
11 -1 23 -2 23 -3 23 -4 23 -4 23 -4 19 -4 4 -1
23 -4 23 -4 23 -4 23 -7 7 -2 16 -6 23 -6 23 -6
8 -4 15 -12 13 -10 10 -8 23 -14 1 0 23 -19 3 -3
20 -10 23 -12 0 0 10 -22 10 -23 3 -5 11 -17 9 -22
3 -12 4 -10 9 -22 8 -22 2 -11 1 -11 -1 -11 -1 -11
-8 -22 -7 -22 -7 -22 0 -2 -6 -20 -14 -22 -3 -5 -16 -17
-7 -9 -12 -14 -11 -12 -9 -10 -14 -16 -6 -6 -17 -16 -9 -6
-15 -9 -23 -10 -5 -3 -18 -10 -22 -12 -1 0 -23 -13 -23 -9
0 0 -23 -5 -23 -5 -23 -5 -23 -5 -10 -2 -13 -4 -23 -3
-23 -4 -23 -4 -23 -4 -23 -2 -17 -1 -6 -1 -23 -2 -23 -3
-23 -2 -23 -1 -23 -1 -23 -1 -23 0 -23 -1 -24 0 -23 1
-23 1 -23 0 -23 1 -23 2 -23 2 -23 2 -23 3 0 0
-23 2 -23 2 -23 4 -23 4 -23 4 -23 4 -8 2 -15 3
-23 4 -23 4 -23 5 -18 6 -5 2 -23 7 -23 6 -19 7
-4 2 -23 19 -2 1 -22 18 0 4 0 22 0 22 0 22
0 23 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 23 0 22
0 22 0 22 0 4 2851 1144 180 MP stroke
/c11 { 0.000000 1.000000 1.000000 sr} bdef
c11
13 -4 10 -6 18 -16 5 -6 21 -17 3 -1 20 -21 3 -5
9 -17 14 -21 0 -1 10 -22 4 -22 4 -22 -3 -22 -10 -22
-5 -12 -5 -10 -8 -22 -5 -22 -5 -8 -10 -14 -13 -15 -10 -7
-14 -11 -22 -12 -1 0 -23 -12 -19 -10 -4 -2 -23 -14 -12 -6
-11 -5 -23 -7 -23 -6 -11 -4 -12 -4 -23 -7 -23 -5 -23 -3
-15 -3 -8 -1 -23 -4 -23 -5 -23 -2 -23 -1 -23 -2 -23 -2
-23 -2 -23 -1 -23 0 -23 0 -23 -1 -23 -1 -24 0 -23 1
-23 0 -23 1 -23 1 -23 1 -23 1 -23 2 -23 2 -23 2
-23 2 -23 3 -23 4 -11 2 -12 3 -23 4 -23 5 -23 8
-7 2 -16 5 -23 7 -23 8 -6 2 -17 6 -23 8 -23 8
-1 0 -22 16 -6 6 -18 18 0 5 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 5 2851 1232 100 MP
24 12 11 6 12 6 23 12 5 4 18 10 19 12 4 2
23 6 23 7 23 7 0 0 23 8 23 7 23 3 23 3
4 1 19 3 23 4 23 4 23 2 23 1 23 2 23 2
23 1 23 1 23 0 23 1 23 0 24 1 23 -1 23 0
23 -1 23 0 23 -1 23 -1 23 -2 23 -2 23 -2 23 -2
23 -2 23 -4 22 -4 1 0 23 -5 23 -4 23 -6 18 -7
5 -2 23 -6 23 -7 17 -7 6 -3 23 -7 23 -8 55 AP
PP
0 sg
0 0 24 12 11 6 12 6 23 12 5 4 18 10 19 12
4 2 23 6 23 7 23 7 0 0 23 8 23 7 23 3
23 3 4 1 19 3 23 4 23 4 23 2 23 1 23 2
23 2 23 1 23 1 23 0 23 1 23 0 24 1 23 -1
23 0 23 -1 23 0 23 -1 23 -1 23 -2 23 -2 23 -2
23 -2 23 -2 23 -4 22 -4 1 0 23 -5 23 -4 23 -6
18 -7 5 -2 23 -6 23 -7 17 -7 6 -3 23 -7 23 -8
13 -4 10 -6 18 -16 5 -6 21 -17 3 -1 20 -21 3 -5
9 -17 14 -21 0 -1 10 -22 4 -22 4 -22 -3 -22 -10 -22
-5 -12 -5 -10 -8 -22 -5 -22 -5 -8 -10 -14 -13 -15 -10 -7
-14 -11 -22 -12 -1 0 -23 -12 -19 -10 -4 -2 -23 -14 -12 -6
-11 -5 -23 -7 -23 -6 -11 -4 -12 -4 -23 -7 -23 -5 -23 -3
-15 -3 -8 -1 -23 -4 -23 -5 -23 -2 -23 -1 -23 -2 -23 -2
-23 -2 -23 -1 -23 0 -23 0 -23 -1 -23 -1 -24 0 -23 1
-23 0 -23 1 -23 1 -23 1 -23 1 -23 2 -23 2 -23 2
-23 2 -23 3 -23 4 -11 2 -12 3 -23 4 -23 5 -23 8
-7 2 -16 5 -23 7 -23 8 -6 2 -17 6 -23 8 -23 8
-1 0 -22 16 -6 6 -18 18 0 5 0 22 0 22 0 22
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
0 22 0 22 0 5 2851 1232 156 MP stroke
/c12 { 0.500000 1.000000 0.500000 sr} bdef
c12
23 -2 23 -3 23 -2 23 -3 23 -3 23 -5 4 0 19 -4
23 -5 23 -7 17 -6 6 -3 23 -9 23 -8 5 -3 18 -18
4 -4 19 -19 3 -3 16 -22 4 -9 8 -13 12 -22 4 -7
7 -15 -4 -22 -3 -8 -8 -14 -12 -22 -4 -7 -10 -15 -13 -20
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-23 3 -23 2 -23 3 -23 3 -23 3 -15 3 -8 2 -23 5
-23 5 -23 8 -5 2 -18 8 -23 8 -14 7 -9 6 -15 16
-8 8 -15 14 -8 10 -8 12 -10 22 -6 11 0 11 0 22
0 22 0 22 0 11 2851 1336 100 MP
8 11 14 22 2 3 12 19 11 10 14 12 9 6 23 16
1 0 22 15 23 5 9 3 14 3 23 7 23 7 14 5
9 3 23 2 23 3 23 3 23 3 23 3 23 1 23 1
23 2 20 1 3 0 23 1 23 1 23 0 23 1 23 0
24 1 23 -1 23 0 23 -1 23 0 23 -1 17 -1 6 -1
23 -1 23 -1 23 -1 43 AP
PP
0 sg
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23 16 1 0 22 15 23 5 9 3 14 3 23 7 23 7
14 5 9 3 23 2 23 3 23 3 23 3 23 3 23 1
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-12 -8 -11 -8 -23 -10 -20 -5 -3 0 -23 -6 -23 -7 -23 -8
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c13
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16 21 7 9 9 13 14 18 3 4 17 22 3 3 23 10
22 9 1 0 23 9 23 8 17 5 6 2 23 3 23 3
23 4 23 4 23 3 23 1 23 2 14 1 9 0 23 2
23 1 25 AP
PP
0 sg
0 0 16 21 7 9 9 13 14 18 3 4 17 22 3 3
23 10 22 9 1 0 23 9 23 8 17 5 6 2 23 3
23 3 23 4 23 4 23 3 23 1 23 2 14 1 9 0
23 2 23 1 23 1 23 0 23 0 23 1 24 0 23 0
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8 -7 15 -15 8 -12 5 -10 11 -22 -4 -22 -12 -16 -4 -6
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-6 3 -17 8 -23 11 -4 3 -19 18 -4 4 -19 19 -3 3
-14 22 -6 14 -4 8 3 22 1 1 2804 1368 126 MP stroke
/c14 { 1.000000 0.500000 0.000000 sr} bdef
c14
23 14 12 3 11 2 23 5 23 4 23 5 23 4 23 2
7 0 16 2 23 1 23 2 23 1 23 1 23 0 23 1
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-14 15 2 22 12 15 2735 1354 100 MP
12 7 11 7 23 13 2 2 21 13 15 9 8 5 7 AP
PP
0 sg
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-23 11 -15 8 -8 4 -23 13 -8 5 -15 12 -14 10 -9 7
-14 15 2 22 12 15 2735 1354 108 MP stroke
/c15 { 1.000000 0.000000 0.000000 sr} bdef
c15
23 14 11 3 12 3 23 6 23 7 23 6 0 0 23 6
23 3 23 2 23 3 23 2 23 3 23 1 23 0 23 1
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PP
0 sg
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23 6 23 3 23 2 23 3 23 2 23 3 23 1 23 0
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0 0 -23 -6 -23 -6 -23 -7 -11 -3 -12 -4 -23 -3 -23 -3
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-23 3 -23 3 -23 5 -4 1 -19 5 -23 6 -23 7 -14 4
-9 3 -23 12 -11 7 3 22 8 5 2643 1364 78 MP stroke
/c16 { 0.500000 0.000000 0.000000 sr} bdef
c16
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23 -1 16 -1 -1 -22 -15 -1 -23 -1 -23 0 -23 -1 -23 -1
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2390 1368 25 MP
PP
0 sg
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23 0 23 -1 16 -1 -1 -22 -15 -1 -23 -1 -23 0 -23 -1
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gr
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553 2516 mt
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2835 330 mt
( ) s
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DO
SO
6 w
570 2473 mt 2851 2473 L
570 288 mt 2851 288 L
570 2473 mt 570 288 L
2851 2473 mt 2851 288 L
570 2473 mt 2851 2473 L
570 2473 mt 570 288 L
570 2473 mt 570 2450 L
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379 2663 mt
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1140 2473 mt 1140 2450 L
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949 2663 mt
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1710 2473 mt 1710 2450 L
1710 288 mt 1710 310 L
1664 2663 mt
(0) s
2280 2473 mt 2280 2450 L
2280 288 mt 2280 310 L
2187 2663 mt
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2851 2473 mt 2851 2450 L
2851 288 mt 2851 310 L
2758 2663 mt
(20) s
570 2473 mt 592 2473 L
2851 2473 mt 2828 2473 L
251 2535 mt
(-20) s
570 1926 mt 592 1926 L
2851 1926 mt 2828 1926 L
251 1988 mt
(-10) s
570 1380 mt 592 1380 L
2851 1380 mt 2828 1380 L
442 1442 mt
(0) s
570 834 mt 592 834 L
2851 834 mt 2828 834 L
349 896 mt
(10) s
570 288 mt 592 288 L
2851 288 mt 2828 288 L
349 350 mt
(20) s
570 2473 mt 2851 2473 L
570 288 mt 2851 288 L
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1 sg
0 2186 240 0 0 -2186 3032 2474 4 MP
PP
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DO
SO
6 w
3032 2474 mt 3272 2474 L
3032 288 mt 3272 288 L
3032 2474 mt 3032 288 L
3272 2474 mt 3272 288 L
3032 2474 mt 3272 2474 L
3272 2474 mt 3272 288 L
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3272 1659 mt 3250 1659 L
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(1.5) s
3272 1385 mt 3250 1385 L
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3272 1111 mt 3250 1111 L
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3306 898 mt
(3) s
3272 562 mt 3250 562 L
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3032 2474 mt 3272 2474 L
3032 288 mt 3272 288 L
3032 2474 mt 3032 288 L
3272 2474 mt 3272 288 L
end %%Color Dict
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441
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6
data/prism/magz.txt Normal file
View File

@ -0,0 +1,6 @@
0 0 200
0 0 200
0 0 200
0 0 200
0 0 200
0 0 200

14
data/prism/prism.1.edge Normal file
View File

@ -0,0 +1,14 @@
12 1
0 0 1 -1
1 1 2 -1
2 2 3 -1
3 3 0 -1
4 4 5 -1
5 5 6 -1
6 6 7 -1
7 7 4 -1
8 0 4 -1
9 5 1 -1
10 6 2 -1
11 7 3 -1
# Generated by tetgen -pq prism.poly

8
data/prism/prism.1.ele Normal file
View File

@ -0,0 +1,8 @@
6 4 0
0 2 0 3 7
1 2 0 7 6
2 5 4 0 6
3 0 4 7 6
4 0 2 1 6
5 5 0 1 6
# Generated by tetgen -pq prism.poly

14
data/prism/prism.1.face Normal file
View File

@ -0,0 +1,14 @@
12 1
0 0 2 1 -1
1 6 4 5 -1
2 2 0 3 -1
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5 1 6 5 -1
6 5 0 1 -1
7 2 7 6 -1
8 6 1 2 -1
9 7 0 4 -1
10 7 2 3 -1
11 0 7 3 -1
# Generated by tetgen -pq prism.poly

23
data/prism/prism.1.msh Normal file
View File

@ -0,0 +1,23 @@
$MeshFormat
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$EndMeshFormat
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$EndNodes
$Elements
6
0 4 1 0 2 0 3 7
1 4 1 0 2 0 7 6
2 4 1 0 5 4 0 6
3 4 1 0 0 4 7 6
4 4 1 0 0 2 1 6
5 4 1 0 5 0 1 6
$EndElements

10
data/prism/prism.1.node Normal file
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@ -0,0 +1,10 @@
8 3 0 0
0 -5 5 0
1 -5 -5 0
2 5 -5 0
3 5 5 0
4 -5 5 -10
5 -5 -5 -10
6 5 -5 -10
7 5 5 -10
# Generated by tetgen -pq prism.poly

32
data/prism/prism.poly Normal file
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# Part 1 - the node list.
# A bar with 8 nodes in 3d, no attributes, no boundary marker.
8 3 0 0
0 -5 5 0
1 -5 -5 0
2 5 -5 0
3 5 5 0
4 -5 5 -10
5 -5 -5 -10
6 5 -5 -10
7 5 5 -10
# Part 2 - the facet list.
# Six facets without boundary markers.
6 0
1
4 0 1 2 3
1
4 4 5 6 7
1
4 0 4 5 1
1
4 1 5 6 2
1
4 2 6 7 3
1
4 3 7 4 0
# Part 3 - the hole list.
# There is no hole in bar.
0
# Part 4 - the region list.
# There is no region defined.
0

27
data/prism/prism_mag_grad.txt Normal file
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# cal-type: potential gradient tensor
# mag-file: data/prism/magz.txt
# obs-file: data/prism/prism
# site-file: data/prism/site.txt
# tet-file: data/prism/prism.1
# x(m) y(m) z(m) Bx(nT) By(nT) Bz(nT)
0 -30 10 9.865885886028991e-11 -635.4085370474012 -212.8584696131117
0 -27 10 1.642064262341592e-11 -863.7006228546899 -200.1092298959393
0 -24 10 8.628830983070657e-11 -1189.007890611918 -141.7214283010787
0 -21 10 1.402611360390438e-11 -1651.9185430748 10.7804521414497
0 -18 10 5.329070518200751e-11 -2298.687469670971 350.1488193308752
0 -15 10 3.379341251275036e-11 -3154.96123665952 1043.789659412175
0 -12 10 2.958699951705057e-11 -4144.066208409731 2353.372919599199
0 -9 10 -1.398348103975877e-11 -4918.860355559764 4545.864439676197
0 -6 10 3.393552105990238e-11 -4754.740298994016 7508.666465817756
0 -3 10 7.503331289626658e-12 -3007.689004117357 10265.02007584552
0 0 10 -1.762145984685048e-11 -2.535216481192037e-11 11400.03318745997
0 3 10 -4.6782133722445e-11 3007.689004117304 10265.02007584553
0 6 10 -4.189359970041551e-11 4754.740298993931 7508.6664658178
0 9 10 2.034994395216927e-11 4918.860355559778 4545.864439676223
0 12 10 -6.917844075360335e-11 4144.06620840971 2353.372919599219
0 15 10 -5.594813501375029e-11 3154.96123665951 1043.789659412193
0 18 10 -1.117683723350638e-10 2298.687469670903 350.1488193309181
0 21 10 1.386126768920803e-10 1651.918543074827 10.78045214148585
0 24 10 -9.367084885525401e-11 1189.007890611897 -141.7214283009721
0 27 10 1.077893330148072e-11 863.7006228547392 -200.1092298958888
0 30 10 -1.512248104518221e-10 635.4085370474371 -212.8584696130303

27
data/prism/prism_mag_pot.txt Normal file
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# cal-type: potential gradient tensor
# mag-file: data/prism/magz.txt
# obs-file: data/prism/prism
# site-file: data/prism/site.txt
# tet-file: data/prism/prism.1
# x(m) y(m) z(m) V
0 -30 10 7.945192481832037e-06
0 -27 10 1.017383329478886e-05
0 -24 10 1.322404102437282e-05
0 -21 10 1.744522272350441e-05
0 -18 10 2.331989022427835e-05
0 -15 10 3.144984660923424e-05
0 -12 10 4.239139532730488e-05
0 -9 10 5.61149431088844e-05
0 -6 10 7.096632415803101e-05
0 -3 10 8.302285058871541e-05
0 0 10 8.771664564788257e-05
0 3 10 8.30228505887156e-05
0 6 10 7.096632415803095e-05
0 9 10 5.611494310888394e-05
0 12 10 4.239139532730492e-05
0 15 10 3.144984660923414e-05
0 18 10 2.331989022427906e-05
0 21 10 1.744522272350296e-05
0 24 10 1.322404102437247e-05
0 27 10 1.017383329478729e-05
0 30 10 7.945192481830414e-06

27
data/prism/prism_mag_tensor.txt Normal file
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# cal-type: potential gradient tensor
# mag-file: data/prism/magz.txt
# obs-file: data/prism/prism
# site-file: data/prism/site.txt
# tet-file: data/prism/prism.1
# x(m) y(m) z(m) Txx(nT/m) Txy(nT/m) Txz(nT/m) Tyx(nT/m) Tyy(nT/m) Tyz(nT/m) Tzx(nT/m) Tzy(nT/m) Tzz(nT/m)
0 -30 10 21.12231754000098 -1.953992523340276e-14 5.995204332975845e-15 -3.819167204710538e-14 -63.54910194478799 -0.183998719683391 5.52891066263328e-14 -0.1839987196832524 42.42678440478731
0 -27 10 31.87138101262261 4.440892098500626e-15 2.486899575160351e-14 -9.769962616701378e-15 -90.30444582602225 9.992936327849776 -3.952393967665557e-14 9.992936327849883 58.43306481340033
0 -24 10 49.29453097814564 9.769962616701378e-15 4.085620730620576e-14 -6.394884621840902e-14 -128.8385075423321 31.51421540285403 8.659739592076221e-14 31.51421540285441 79.54397656418568
0 -21 10 78.12325569581145 2.335909243811329e-13 2.344791028008331e-13 -1.127986593019159e-13 -182.4574255685078 75.12864161221468 -3.375077994860476e-14 75.12864161221475 104.3341698726957
0 -18 10 126.4986335395691 1.953992523340276e-14 -1.030286966852145e-13 6.572520305780927e-14 -250.5577297032964 160.2435924801686 -3.224087663511455e-13 160.2435924801682 124.0590961637264
0 -15 10 207.6337869138938 4.334310688136611e-13 4.156675004196586e-13 3.552713678800501e-15 -317.0213860559827 317.0213860559829 6.217248937900877e-14 317.0213860559826 109.387599142089
0 -12 10 339.6486195020143 -4.192202140984591e-13 -4.831690603168681e-13 -6.465938895416912e-13 -324.2013637302241 572.9722720044243 2.842170943040401e-14 572.9722720044243 -15.44725577179118
0 -9 10 536.527931151645 2.913225216616411e-13 2.273736754432321e-13 2.913225216616411e-13 -149.7675027828193 886.3048081641168 5.400124791776761e-13 886.3048081641175 -386.7604283688265
0 -6 10 780.8632702299375 -1.35003119794419e-13 -5.684341886080801e-14 5.684341886080801e-14 301.7336734016438 1032.383272758852 -4.831690603168681e-13 1032.383272758852 -1082.596943631582
0 -3 10 997.1209753131576 -2.025046796916286e-13 -5.684341886080801e-14 -2.309263891220326e-13 844.5477841780262 717.9269806455573 -8.242295734817162e-13 717.9269806455569 -1841.668759491184
0 0 10 1084.557107935641 0 -2.842170943040401e-14 7.460698725481052e-14 1084.557107935641 -2.842170943040401e-14 -5.684341886080801e-14 8.526512829121202e-14 -2169.114215871282
0 3 10 997.1209753131577 3.552713678800501e-14 0 1.49213974509621e-13 844.5477841780266 -717.9269806455577 -5.684341886080801e-14 -717.9269806455575 -1841.668759491184
0 6 10 780.8632702299376 4.263256414560601e-14 1.13686837721616e-13 9.237055564881302e-14 301.733673401644 -1032.383272758852 1.13686837721616e-13 -1032.383272758853 -1082.596943631582
0 9 10 536.5279311516452 1.13686837721616e-13 3.552713678800501e-14 -1.06581410364015e-13 -149.7675027828191 -886.3048081641172 -4.263256414560601e-14 -886.304808164117 -386.7604283688264
0 12 10 339.6486195020144 4.618527782440651e-14 -1.4210854715202e-14 -6.750155989720952e-14 -324.2013637302234 -572.9722720044243 -7.815970093361102e-14 -572.9722720044242 -15.44725577179103
0 15 10 207.6337869138934 -5.684341886080801e-14 4.796163466380676e-14 1.84741111297626e-13 -317.0213860559827 -317.0213860559827 2.717825964282383e-13 -317.0213860559826 109.3875991420894
0 18 10 126.4986335395692 -6.039613253960852e-14 -3.641531520770513e-14 -1.77635683940025e-14 -250.5577297032963 -160.2435924801686 1.243449787580175e-14 -160.2435924801683 124.0590961637265
0 21 10 78.12325569581148 1.77635683940025e-14 -3.819167204710538e-14 3.996802888650564e-14 -182.457425568508 -75.12864161221445 -3.019806626980426e-14 -75.12864161221482 104.3341698726957
0 24 10 49.29453097814566 -2.398081733190338e-14 4.884981308350689e-14 -2.873257187729905e-13 -128.8385075423321 -31.51421540285421 1.647570968543732e-13 -31.51421540285449 79.5439765641859
0 27 10 31.87138101262272 1.4210854715202e-14 9.015010959956271e-14 7.105427357601002e-14 -90.30444582602223 -9.992936327849705 9.947598300641403e-14 -9.992936327849932 58.43306481340035
0 30 10 21.12231754000132 5.10702591327572e-14 2.262634524186069e-13 1.62980740014973e-13 -63.54910194478788 0.1839987196834905 -5.573319583618286e-14 0.1839987196832951 42.42678440478718

21
data/prism/site.txt Normal file
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@ -0,0 +1,21 @@
0 -30 10
0 -27 10
0 -24 10
0 -21 10
0 -18 10
0 -15 10
0 -12 10
0 -9 10
0 -6 10
0 -3 10
0 0 10
0 3 10
0 6 10
0 9 10
0 12 10
0 15 10
0 18 10
0 21 10
0 24 10
0 27 10
0 30 10

39
job.sh Executable file
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#!/bin/bash
# tet-file needs both .node and .ele files generated by Tetgen. No file extension is needed
# mag-file line format: <magz-x> <magz-y> <magz-z>
# site-file format: 1. <filename> 2. <xmin>/<xmax>/<ymin>/<ymax>/<z>/<xnum>/<ynum>
# site-file line format: <x> <y> <z>
# obs-file needs only the output file's name with no file extension
# available calculating types: potential, gradient and tensor
logfile=log.txt
execu=./build/bin/magtet
job=${1}
if [[ ${job} == "prism" ]]; then
echo "Executing the job \""${job}"\" by "${execu}
echo "Logging file:" ${logfile}
echo "======================"
cat <<- EOF > ${logfile}
tet-file = data/prism/prism.1
mag-file = data/prism/magz.txt
site-file = data/prism/site.txt
obs-file = data/prism/prism
cal-type = potential gradient tensor
EOF
${execu} ${logfile}
elif [[ ${job} == "pipeline" ]]; then
echo "Executing the job \""${job}"\" by "${execu}
echo "Logging file:" ${logfile}
echo "======================"
cat <<- EOF > ${logfile}
tet-file = data/pipeline/pipeline
mag-file = data/pipeline/magz.txt
site-file = data/pipeline/site.txt
obs-file = data/pipeline/pipeline
cal-type = potential gradient tensor
EOF
${execu} ${logfile}
fi

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log.txt Normal file
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tet-file = data/prism/prism.1
mag-file = data/prism/magz.txt
site-file = data/prism/site.txt
obs-file = data/prism/prism
cal-type = potential gradient tensor

5
readme.md Normal file
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# Magnetic gradient tensor of a tetrahedron
## Input files
## Output files

20
src/CMakeLists.txt Normal file
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aux_source_directory(. SRC_DIR)
include_directories(/usr/local/include)
set(EXECUTABLE_OUTPUT_PATH ${PROJECT_BINARY_DIR}/bin)
add_executable(magtet ${SRC_DIR})
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} --std=c++11 -O2")
find_library(GCTL_LIBRARY gctl /usr/local/lib)
target_link_libraries(magtet PUBLIC ${GCTL_LIBRARY})
find_package(OpenMP REQUIRED)
if (OpenMP_CXX_FOUND)
message(STATUS "OpenMP Found.")
set (CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${OpenMP_CXX_FLAGS}")
set (CMAKE_EXE_LINKER_FLAGS "${CMAKE_EXE_LINKER_FLAGS} ${OpenMP_EXE_LINKER_FLAGS}")
target_link_libraries(magtet PUBLIC OpenMP::OpenMP_CXX)
endif()

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src/magtet.cpp Normal file
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#include "magtet.h"
magtet::magtet(){}
magtet::~magtet(){}
void magtet::read_tet(std::string tet_name)
{
gctl::read_Tetgen_node(tet_name, node_);
gctl::read_Tetgen_element(tet_name, ele_, node_);
node_num_ = node_.size();
ele_num_ = ele_.size();
return;
}
void magtet::read_magz(std::string mag_name)
{
std::vector<gctl::point3d_c> tmp_vec;
gctl::read_text2vector(mag_name, "", tmp_vec);
if (tmp_vec.size() != ele_num_)
{
throw gctl::length_error("Invalid magnetization vector size. From magtet::read_magz(...)");
}
magz_.resize(tmp_vec);
gctl::destroy_vector(tmp_vec);
return;
}
void magtet::init_site(std::string para)
{
// try to use the para as a file name
if (access(para.c_str(), F_OK) != -1)
{
std::vector<gctl::point3d_c> tmp_vec;
gctl::read_text2vector(para, "", tmp_vec);
site_num_ = tmp_vec.size();
site_.resize(tmp_vec);
gctl::destroy_vector(tmp_vec);
return;
}
// try to use the para in the format <xmin>/<xmax>/<ymin>/<ymax>/<z>/<xsize>/<ysize>
double xmin, xmax, ymin, ymax, z;
int xsize, ysize;
gctl::utility::parse_string_to_value(para, '/', xmin, xmax, ymin, ymax, z, xsize, ysize);
if (xsize <= 0 || ysize <= 0)
{
throw gctl::invalid_argument("Invalid site size. From magtet::init_site(...)");
}
std::vector<double> xs, ys;
gctl::linespace(xmin, xmax, xsize, xs);
gctl::linespace(ymin, ymax, ysize, ys);
site_num_ = xsize*ysize;
site_.resize(site_num_);
for (int i = 0; i < ysize; ++i)
{
for (int j = 0; j < xsize; ++j)
{
site_[i*xsize + j].set(xs[j], ys[i], z);
}
}
gctl::destroy_vector(xs);
gctl::destroy_vector(ys);
return;
}
void magtet::write_text(std::string out_name)
{
std::vector<std::string> opt_info;
gopt_.get_options(opt_info);
std::ofstream outfile;
if (!mag_pot_.empty())
{
gctl::open_outfile(outfile, out_name, "_mag_pot.txt");
for (int i = 0; i < opt_info.size(); ++i)
{
outfile << "# " << opt_info[i] << std::endl;
}
outfile << "# x(m) y(m) z(m) V" << std::endl;
for (int i = 0; i < site_num_; ++i)
{
outfile << site_[i] << std::setprecision(16) << " " << mag_pot_[i] << std::endl;
}
outfile.close();
}
if (!mag_grad_.empty())
{
gctl::open_outfile(outfile, out_name, "_mag_grad.txt");
for (int i = 0; i < opt_info.size(); ++i)
{
outfile << "# " << opt_info[i] << std::endl;
}
outfile << "# x(m) y(m) z(m) Bx(nT) By(nT) Bz(nT)" << std::endl;
for (int i = 0; i < site_num_; ++i)
{
outfile << site_[i] << std::setprecision(16) << " " << mag_grad_[i].x << " "
<< mag_grad_[i].y << " " << mag_grad_[i].z << " " << std::endl;
}
outfile.close();
}
if (!mag_tensor_.empty())
{
gctl::open_outfile(outfile, out_name, "_mag_tensor.txt");
for (int i = 0; i < opt_info.size(); ++i)
{
outfile << "# " << opt_info[i] << std::endl;
}
outfile << "# x(m) y(m) z(m) Txx(nT/m) Txy(nT/m) Txz(nT/m) Tyx(nT/m) Tyy(nT/m) Tyz(nT/m) Tzx(nT/m) Tzy(nT/m) Tzz(nT/m)" << std::endl;
for (int i = 0; i < site_num_; ++i)
{
outfile << site_[i] << std::setprecision(16) << " " << mag_tensor_[i].value(0,0) << " "
<< mag_tensor_[i].value(0,1) << " " << mag_tensor_[i].value(0,2) << " "
<< mag_tensor_[i].value(1,0) << " " << mag_tensor_[i].value(1,1) << " "
<< mag_tensor_[i].value(1,2) << " " << mag_tensor_[i].value(2,0) << " "
<< mag_tensor_[i].value(2,1) << " " << mag_tensor_[i].value(2,2) << std::endl;
}
outfile.close();
}
return;
}
void magtet::cal_tensors()
{
// malloc space
fnorm_.resize(ele_num_, 4);
enorm_.resize(ele_num_, 12);
etang_.resize(ele_num_, 12);
gctl::point3d_c v1, v2, v3, nf, ne;
for (int e = 0; e < ele_num_; ++e)
{
for (int i = 0; i < 4; ++i)
{
v1 = *ele_[e].fget(i, 1) - *ele_[e].fget(i, 0);
v2 = *ele_[e].fget(i, 2) - *ele_[e].fget(i, 0);
nf = gctl::cross(v1, v2).normal();
fnorm_[e][i] = nf;
for (int j = 0; j < 3; ++j)
{
v3 = *ele_[e].fget(i, (j+1)%3) - *ele_[e].fget(i, j);
ne = gctl::cross(v3, nf).normal();
enorm_[e][j+i*3] = ne;
etang_[e][j+i*3] = gctl::cross(nf, ne);
}
}
}
return;
}
double magtet::mag_potential(const gctl::tetrahedron &tet, const gctl::point3d_c &site,
const gctl::point3d_c &mz, gctl::point3d_c *fn, gctl::point3d_c *en, gctl::point3d_c *et)
{
double Rij_minus, Rij_plus, Sij_plus, Sij_minus, Rij0, mij0, wi0;
double part1, part2, k0, absw, mdotn, beta;
gctl::point3d_c oi;
double out_pot = 0.0;
for (int f = 0; f < 4; ++f)
{
k0 = 0.0;
for (int j = 0; j < 3; ++j)
{
Rij_minus = (site - *tet.fget(f, j)).module();
Rij_plus = (site - *tet.fget(f, (j+1)%3)).module();
if (j == 0)
{
wi0 = gctl::dot(site - *tet.fget(f, j), fn[f]);
absw = std::abs(wi0);
}
oi = site - wi0*fn[f];
Sij_minus = gctl::dot(*tet.fget(f, j) - oi, et[3*f+j]);
Sij_plus = gctl::dot(*tet.fget(f, (j+1)%3) - oi, et[3*f+j]);
mij0 = gctl::dot(*tet.fget(f, j) - oi, en[3*f+j]);
Rij0 = std::sqrt(wi0*wi0 + mij0*mij0);
part2 = 0.0;
if (absw > TOL)
{
beta = std::atan((mij0*Sij_plus)/(Rij0*Rij0+absw*Rij_plus))
- std::atan((mij0*Sij_minus)/(Rij0*Rij0+absw*Rij_minus));
part2 = absw*beta;
}
part1 = 0.0;
if (std::abs(mij0) > TOL)
{
part1 = mij0*std::log((Rij_plus+Sij_plus)/(Rij_minus+Sij_minus));
}
k0 += (part1 - part2);
}
mdotn = gctl::dot(mz, fn[f]);
out_pot += Cm*k0*mdotn;
}
return out_pot;
}
gctl::point3d_c magtet::mag_gradient(const gctl::tetrahedron &tet, const gctl::point3d_c &site,
const gctl::point3d_c &mz, gctl::point3d_c *fn, gctl::point3d_c *en, gctl::point3d_c *et)
{
double Rij_minus, Rij_plus, Sij_plus, Sij_minus, Rij0, mij0, wi0;
double mdotn, beta, Aij, sig, absw;
gctl::point3d_c oi, k1, part1, part2;
gctl::point3d_c out_grad(0.0, 0.0, 0.0);
for (int f = 0; f < 4; ++f)
{
k1.set(0.0, 0.0, 0.0);
for (int j = 0; j < 3; ++j)
{
Rij_minus = (site - *tet.fget(f, j)).module();
Rij_plus = (site - *tet.fget(f, (j+1)%3)).module();
if (j == 0)
{
wi0 = gctl::dot(site - *tet.fget(f, j), fn[f]);
sig = sign(wi0);
absw = std::abs(wi0);
}
oi = site - wi0*fn[f];
Sij_minus = gctl::dot(*tet.fget(f, j) - oi, et[3*f+j]);
Sij_plus = gctl::dot(*tet.fget(f, (j+1)%3) - oi, et[3*f+j]);
mij0 = gctl::dot(*tet.fget(f, j) - oi, en[3*f+j]);
Rij0 = std::sqrt(wi0*wi0 + mij0*mij0);
part2.set(0.0, 0.0, 0.0);
if (absw > TOL)
{
beta = atan((mij0*Sij_plus)/(Rij0*Rij0 + absw*Rij_plus))
- atan((mij0*Sij_minus)/(Rij0*Rij0 + absw*Rij_minus));
part2 = sig*beta*fn[f];
}
if (std::abs(Rij0) > TOL)
{
Aij = std::log((long double)(Rij_plus+Sij_plus)) - std::log((long double)(Rij_minus+Sij_minus));
}
else if (Sij_plus > 0.0 && Sij_minus > 0.0)
{
Aij = std::log(Sij_plus) - std::log(Sij_minus);
}
else if (Sij_plus < 0.0 && Sij_minus < 0.0)
{
Aij = std::log(-1.0*Sij_minus) - std::log(-1.0*Sij_plus);
}
else
{
throw gctl::runtime_error("Observation site on edge. From magtet::mag_gradient()");
}
part1 = Aij * en[3*f+j];
k1 = k1 - (part1 + part2);
}
mdotn = gctl::dot(mz, fn[f]);
out_grad = out_grad - 1e+9*Cm*mdotn*k1;
}
return out_grad;
}
gctl::tensor magtet::mag_tensor(const gctl::tetrahedron &tet, const gctl::point3d_c &site,
const gctl::point3d_c &mz, gctl::point3d_c *fn, gctl::point3d_c *en, gctl::point3d_c *et)
{
double Rij_minus, Rij_plus, Sij_plus, Sij_minus, Rij0, mij0, wi0;
double mdotn, beta, sig, absw;
double factor_n_mij, factor_tij;
gctl::point3d_c oi, grad_Aij;
gctl::point3d_c grad_Rij_plus, grad_Rij_minus, grad_Sij_plus, grad_Sij_minus;
gctl::point3d_c grad_mij0, grad_Rij0, grad_abs_wi0;
gctl::point3d_c grad_a_plus, grad_b_plus, grad_a_minus, grad_b_minus;
gctl::point3d_c grad_betaij_plus, grad_betaij_minus, grad_betaij;
double a_plus, b_plus, a_minus, b_minus;
double k3;
gctl::tensor tmp_k, k2;
gctl::tensor out_tensor(0.0);
for (int f = 0; f < 4; ++f)
{
k2.set(0.0);
k3 = 0.0;
for (int j = 0; j < 3; ++j)
{
Rij_minus = (site - *tet.fget(f, j)).module();
Rij_plus = (site - *tet.fget(f, (j+1)%3)).module();
if (j == 0)
{
wi0 = gctl::dot(site - *tet.fget(f, j), fn[f]);
sig = sign(wi0);
absw = std::abs(wi0);
}
oi = site - wi0*fn[f];
Sij_minus = gctl::dot(*tet.fget(f, j) - oi, et[3*f+j]);
Sij_plus = gctl::dot(*tet.fget(f, (j+1)%3) - oi, et[3*f+j]);
mij0 = gctl::dot(*tet.fget(f, j) - oi, en[3*f+j]);
Rij0 = std::sqrt(wi0*wi0 + mij0*mij0);
if (std::abs(Rij0) > TOL)
{
factor_n_mij = -1.0*(Sij_plus/(Rij0*Rij0*Rij_plus) - Sij_minus/(Rij0*Rij0*Rij_minus));
factor_tij = -1.0/Rij_plus + 1.0/Rij_minus;
grad_Aij = (wi0*factor_n_mij)*fn[f] + factor_tij*et[3*f+j]
- (mij0*factor_n_mij)*en[3*f+j];
}
else
{
factor_tij = -1.0/Rij_plus + 1.0/Rij_minus;
grad_Aij = factor_tij*et[3*f+j];
}
//tmp_k = gctl::kron(grad_Aij, enorm_[e][3*f+j]);
tmp_k = gctl::kron(en[3*f+j], grad_Aij);
k2 = k2 - tmp_k;
if (absw > TOL)
{
grad_Rij_plus = (1.0/Rij_plus)*(site - *tet.fget(f, (j+1)%3));
grad_Rij_minus = (1.0/Rij_minus)*(site - *tet.fget(f, j));
grad_Sij_plus = -1.0*et[3*f+j];
grad_Sij_minus = -1.0*et[3*f+j];
grad_mij0 = -1.0*en[3*f+j];
grad_Rij0 = (1.0/Rij0)*(wi0*fn[f] - mij0*en[3*f+j]);
grad_abs_wi0 = sig*fn[f];
a_plus = Rij0*Rij0 + absw*Rij_plus;
b_plus = mij0*Sij_plus;
grad_a_plus = (2.0*Rij0)*grad_Rij0 + Rij_plus*grad_abs_wi0 + absw*grad_Rij_plus;
grad_b_plus = Sij_plus*grad_mij0 + mij0*grad_Sij_plus;
a_minus = Rij0*Rij0 + absw*Rij_minus;
b_minus = mij0*Sij_minus;
grad_a_minus = (2.0*Rij0)*grad_Rij0 + Rij_minus*grad_abs_wi0 + absw*grad_Rij_minus;
grad_b_minus = Sij_minus*grad_mij0 + mij0*grad_Sij_minus;
grad_betaij_plus = (1.0/(a_plus*a_plus + b_plus*b_plus))*(a_plus*grad_b_plus - b_plus*grad_a_plus);
grad_betaij_minus = (1.0/(a_minus*a_minus + b_minus*b_minus))*(a_minus*grad_b_minus - b_minus*grad_a_minus);
grad_betaij = grad_betaij_plus - grad_betaij_minus;
tmp_k = gctl::kron(grad_betaij, fn[f]);
k2 = k2 - sig*tmp_k;
}
else
{
if (std::abs(mij0) > TOL)
{
k3 += (-1.0/mij0)*(Sij_plus/Rij_plus - Sij_minus/Rij_minus);
}
}
}
if (k3 != 0.0)
{
tmp_k = gctl::kron(fn[f], fn[f]);
k2 = k2 - k3*tmp_k;
}
mdotn = gctl::dot(mz, fn[f]);
out_tensor = out_tensor - 1e+9*Cm*mdotn*k2;
}
return out_tensor;
}
void magtet::total_potential()
{
int e, s;
// malloc space
mag_pot_.resize(site_num_, 0.0);
gctl::utility::progress_bar bar(ele_num_, "MagPotential");
for (e = 0; e < ele_num_; ++e)
{
bar.progressed(e);
#pragma omp parallel for private (s) schedule (guided)
for (s = 0; s < site_num_; ++s)
{
mag_pot_[s] += mag_potential(ele_[e], site_[s], magz_[e], fnorm_.get(e), enorm_.get(e), etang_.get(e));
}
}
return;
}
void magtet::total_gradient()
{
int e, s;
// malloc space
mag_grad_.resize(site_num_, gctl::point3d_c(0.0, 0.0, 0.0));
gctl::utility::progress_bar bar(ele_num_, "MagGradient");
for (e = 0; e < ele_num_; ++e)
{
bar.progressed(e);
#pragma omp parallel for private (s) schedule (guided)
for (s = 0; s < site_num_; ++s)
{
mag_grad_[s] = mag_grad_[s] +
mag_gradient(ele_[e], site_[s], magz_[e], fnorm_.get(e), enorm_.get(e), etang_.get(e));
}
}
return;
}
void magtet::total_tensor()
{
int e, s;
// malloc space
mag_tensor_.resize(site_num_, gctl::tensor(0.0));
gctl::utility::progress_bar bar(ele_num_, "MagTensor");
for (e = 0; e < ele_num_; ++e)
{
bar.progressed(e);
#pragma omp parallel for private (s) schedule (guided)
for (s = 0; s < site_num_; ++s)
{
mag_tensor_[s] = mag_tensor_[s] +
mag_tensor(ele_[e], site_[s], magz_[e], fnorm_.get(e), enorm_.get(e), etang_.get(e));
}
}
return;
}
double magtet::sign(double s)
{
if (s > TOL) return 1.0;
if (s < -1.0*TOL) return -1.0;
return 0.0;
}
void magtet::routine(const char *para_file)
{
// initialize options
gopt_.init_options(para_file);
gopt_.show_options();
// read tetgen files
RUN_ECHO(read_tet(gopt_.get_value(TETFILE)), "Reading 3D model file");
// read magnetization file
RUN_ECHO(read_magz(gopt_.get_value(MAGFILE)), "Reading magnetization file");
// read site file
RUN_ECHO(init_site(gopt_.get_value(SITEFILE)), "Initiating observations points");
// initialize tensors
RUN_ECHO(cal_tensors(), "Calculating tensors");
// calculate targets
bool matched = false;
std::string target_str = gopt_.get_value(CALTYPE);
int pos = target_str.find("potential");
if (pos != target_str.npos)
{
RUN_ECHO(total_potential(), "Calculating magnetic potential");
matched = true;
}
pos = target_str.find("gradient");
if (pos != target_str.npos)
{
RUN_ECHO(total_gradient(), "Calculating magnetic gradient");
matched = true;
}
pos = target_str.find("tensor");
if (pos != target_str.npos)
{
RUN_ECHO(total_tensor(), "Calculating magnetic tensor");
matched = true;
}
if (!matched)
{
throw gctl::runtime_error("Invalid calculating type. From magtet::main(...)");
}
// output results
RUN_ECHO(write_text(gopt_.get_value(OBSFILE)), "Writing outputs");
return;
}

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#ifndef _MAGTET_H
#define _MAGTET_H
#include "gctl/core.h"
#include "gctl/geometry.h"
#include "gctl/io.h"
#include "gctl/utility.h"
#include "omp.h"
#define Cm 1e-7
#define TOL 1e-10
#define TETFILE "tet-file"
#define MAGFILE "mag-file"
#define SITEFILE "site-file"
#define OBSFILE "obs-file"
#define CALTYPE "cal-type" // potential, gradient or tensor
#define RUN_ECHO(action, msg) do {std::clog << msg << " ... \n"; action;} while(0);
class magtet
{
public:
magtet();
virtual ~magtet();
void read_tet(std::string tet_name);
void read_magz(std::string mag_name);
void init_site(std::string para);
void write_text(std::string out_name);
void cal_tensors();
double mag_potential(const gctl::tetrahedron &tet, const gctl::point3d_c &site, const gctl::point3d_c &mz,
gctl::point3d_c *fn, gctl::point3d_c *en, gctl::point3d_c *et);
gctl::point3d_c mag_gradient(const gctl::tetrahedron &tet, const gctl::point3d_c &site, const gctl::point3d_c &mz,
gctl::point3d_c *fn, gctl::point3d_c *en, gctl::point3d_c *et);
gctl::tensor mag_tensor(const gctl::tetrahedron &tet, const gctl::point3d_c &site, const gctl::point3d_c &mz,
gctl::point3d_c *fn, gctl::point3d_c *en, gctl::point3d_c *et);
void total_potential();
void total_gradient();
void total_tensor();
double sign(double s);
void routine(const char *para_file);
protected:
int node_num_, ele_num_, site_num_;
gctl::array<gctl::vertex3d_c> node_; // 四面体元素的顶点集
gctl::array<gctl::tetrahedron> ele_; // 四面体的元素集
gctl::array<gctl::point3d_c> magz_; // 磁化矢量
gctl::array2d<gctl::point3d_c> fnorm_; // 面的外法线矢量
gctl::array2d<gctl::point3d_c> enorm_; // 边的外法线矢量
gctl::array2d<gctl::point3d_c> etang_;
gctl::array<gctl::point3d_c> site_; // 观测点位置集
gctl::array<double> mag_pot_; // 正演磁位
gctl::array<gctl::point3d_c> mag_grad_; // 正演磁场分量
gctl::array<gctl::tensor> mag_tensor_; // 正演磁场张量
gctl::utility::getoption gopt_; // 参数文件解释对象
};
#endif // _MAGTET_H

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#include "magtet.h"
int main(int argc, char const *argv[])
{
if (argc == 1)
{
std::clog << "./magtet <para-file>\n";
return -1;
}
try
{
// declare a new object
magtet mt;
mt.routine(argv[1]);
return 0;
}
catch(std::exception &e)
{
GCTL_ShowWhatError(e.what(), GCTL_ERROR_ERROR, 0, 0, 0);
}
}