diff --git a/cain/CMakeLists.txt b/cain/CMakeLists.txt deleted file mode 100644 index cb60640..0000000 --- a/cain/CMakeLists.txt +++ /dev/null @@ -1,23 +0,0 @@ -cmake_minimum_required(VERSION 2.6) - -PROJECT(cain CXX Fortran) - -add_definitions( -DLINUX ) - -set(CMAKE_BUILD_TYPE Release) - -set(CMAKE_CXX_FLAGS "-O3 -fPIC -fno-align-commons -fbounds-check -fbacktrace -ffixed-form") - -file( - GLOB - source_files - src/*.for - lib/spicelib.a -) - -add_library(cain SHARED ${source_files}) - -SET_TARGET_PROPERTIES(cain PROPERTIES LINKER_LANGUAGE CXX) - -install (TARGETS cain DESTINATION lib) -install (FILES src/include/cainLib.hh DESTINATION include) diff --git a/cain/lib/spicelib.a b/cain/lib/spicelib.a deleted file mode 100755 index 2f77270..0000000 Binary files a/cain/lib/spicelib.a and /dev/null differ diff --git a/cain/lib/support.a b/cain/lib/support.a deleted file mode 100755 index 7190ff7..0000000 Binary files a/cain/lib/support.a and /dev/null differ diff --git a/cain/src/FSU_mars90 b/cain/src/FSU_mars90 deleted file mode 100644 index bf0e4ca..0000000 --- a/cain/src/FSU_mars90 +++ /dev/null @@ -1,4189 +0,0 @@ - n*=90 to Mars data (AB1,AB2night,AB2day,MPO,SPO) - 3390.0 1998.0 1998.0 1999.6493 - 1 0 -1.89681733 - 1 1 -0.32750675 -0.30552042 - 2 0 0.17241816 - 2 1 1.12438285 0.11043704 - 2 2 1.29938209 0.80120724 - 3 0 0.88161999 - 3 1 -0.65117228 0.23495910 - 3 2 -1.10130453 -0.72806001 - 3 3 -1.03623295 -0.33552536 - 4 0 -0.88718134 - 4 1 -0.68644154 -1.42301595 - 4 2 0.04659459 -1.20928466 - 4 3 2.11879015 0.19786221 - 4 4 0.48397222 0.56527835 - 5 0 0.97637248 - 5 1 0.26610789 1.88454819 - 5 2 0.36165920 0.93803716 - 5 3 -0.26021850 -1.12032938 - 5 4 0.42507660 -1.14779806 - 5 5 0.51022935 -1.13813221 - 6 0 -1.02752626 - 6 1 -0.12612420 -0.84659147 - 6 2 -0.20070577 -0.08594634 - 6 3 -1.70379055 0.12564772 - 6 4 0.41586179 0.69410640 - 6 5 0.34569693 1.14121413 - 6 6 -0.92122191 0.25896543 - 7 0 1.41242445 - 7 1 1.21852839 -0.59291315 - 7 2 -0.70168102 0.50037068 - 7 3 0.53016746 0.86246312 - 7 4 0.11845449 -0.30717063 - 7 5 0.50789297 0.13198221 - 7 6 1.07706451 -0.53148580 - 7 7 1.45102537 -0.81432050 - 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86 20 -1.65558898 0.65587163 - 86 21 -0.14543699 1.31306851 - 86 22 1.53479874 -0.01374384 - 86 23 -0.53707975 -2.45120049 - 86 24 -0.33800474 0.61860347 - 86 25 2.02675581 1.19293499 - 86 26 0.20573336 -0.59300774 - 86 27 -2.02031350 -0.22483468 - 86 28 0.14377654 2.33477163 - 86 29 -1.45396113 2.10490131 - 86 30 1.65779293 -0.02527163 - 86 31 0.37105027 -0.91076416 - 86 32 -2.02560520 1.33842540 - 86 33 -2.28708792 0.07570524 - 86 34 0.02246656 1.66437042 - 86 35 0.52708411 -0.45472702 - 86 36 1.32411110 -3.26947999 - 86 37 1.04562175 -1.33846772 - 86 38 1.76016915 0.88286340 - 86 39 0.53583401 -0.38793808 - 86 40 -0.39335656 0.24811268 - 86 41 -0.82088470 -1.48832011 - 86 42 -1.46354651 -0.82844943 - 86 43 -1.75735545 0.16298074 - 86 44 0.61285818 1.33549070 - 86 45 0.14033720 0.47078916 - 86 46 2.03097868 -0.79101485 - 86 47 0.53029907 -1.82638431 - 86 48 -1.01049745 1.49735892 - 86 49 -2.59353161 -0.76844686 - 86 50 0.49409264 0.84970897 - 86 51 0.02424981 0.12271923 - 86 52 1.47506249 -0.03336551 - 86 53 2.90317488 1.80863500 - 86 54 0.37400231 1.78877020 - 86 55 -0.31765357 -1.88126314 - 86 56 -0.20551860 -1.55681801 - 86 57 -1.80174768 1.29470563 - 86 58 0.48391563 1.51167297 - 86 59 0.16516089 -2.23054290 - 86 60 -0.66979843 -1.90624535 - 86 61 -0.93339682 -1.64851809 - 86 62 -0.65467995 -1.31593525 - 86 63 0.28350362 0.93746603 - 86 64 -0.65691465 0.44230738 - 86 65 -0.16278188 1.34450436 - 86 66 0.11548536 -1.21731794 - 86 67 -1.63513279 0.19268885 - 86 68 1.97131491 0.35309279 - 86 69 1.54138982 -0.79413193 - 86 70 -0.03083755 0.59852976 - 86 71 -0.61558372 0.91431600 - 86 72 1.57250774 1.96066129 - 86 73 1.76303566 -1.08423066 - 86 74 -0.57519090 -3.95979357 - 86 75 -0.58947384 -0.20021057 - 86 76 2.00837994 1.56824899 - 86 77 -1.42516792 0.25154081 - 86 78 -1.38952184 0.36669770 - 86 79 -2.64804912 -0.25946638 - 86 80 -0.88699651 -0.23466094 - 86 81 2.96154046 -1.24783003 - 86 82 3.21519494 2.25247526 - 86 83 0.65713871 1.11147809 - 86 84 3.42998934 1.44658685 - 86 85 4.66426373 -0.73794675 - 86 86 1.22601271 2.91303635 - 87 0 -0.19333524 - 87 1 3.19739938 -0.39770010 - 87 2 1.43853390 -0.51789361 - 87 3 -0.15736878 3.15355825 - 87 4 -0.97608662 0.29037592 - 87 5 0.09801743 -1.58119500 - 87 6 -0.80736893 -2.76471686 - 87 7 -0.88628364 1.11953151 - 87 8 1.21508658 2.74364853 - 87 9 -0.30236849 -1.64503300 - 87 10 -2.24486136 -2.16867971 - 87 11 0.76972544 1.19795322 - 87 12 0.93220699 2.27284336 - 87 13 -1.05402696 -1.94093764 - 87 14 1.19672775 -2.52113676 - 87 15 1.76368380 1.91136813 - 87 16 -0.25549522 -0.24003834 - 87 17 -0.91975886 -1.75792730 - 87 18 -1.11731219 -0.22086678 - 87 19 -1.88457775 2.05819917 - 87 20 1.68876743 1.96462560 - 87 21 2.27214813 -1.24773622 - 87 22 1.49628830 -0.21311654 - 87 23 -0.47884265 1.96506727 - 87 24 -0.88895714 0.31798428 - 87 25 -1.96022117 0.57041317 - 87 26 -2.72702599 1.10620797 - 87 27 0.14868835 0.70628065 - 87 28 1.19050336 -1.74261212 - 87 29 0.06931303 -1.62534046 - 87 30 -1.29807806 -1.44714808 - 87 31 -2.13310361 1.14699268 - 87 32 -0.64183998 2.16013074 - 87 33 3.62637234 0.66167146 - 87 34 2.05091691 -2.46469665 - 87 35 -2.64115739 -2.02552342 - 87 36 -0.89906532 1.82847857 - 87 37 2.67837191 6.69837427 - 87 38 0.90484738 1.49051154 - 87 39 -0.70326000 -2.98677349 - 87 40 1.07703555 -2.00826764 - 87 41 -1.38116682 0.67410868 - 87 42 0.85399544 0.91478753 - 87 43 1.45163071 2.15652943 - 87 44 2.44822359 1.18728101 - 87 45 1.02486086 -0.05021222 - 87 46 0.12506793 -3.41121864 - 87 47 -2.68163943 -0.35606185 - 87 48 -0.85429490 -1.42652023 - 87 49 1.45708513 3.28431511 - 87 50 3.63280916 0.22401856 - 87 51 1.84111094 0.58007681 - 87 52 -0.15172027 -1.07984889 - 87 53 -1.31775081 -1.05916786 - 87 54 0.49156392 -2.36495471 - 87 55 -0.25679106 -1.38131809 - 87 56 -0.23793814 0.98062021 - 87 57 -1.15231705 0.04418723 - 87 58 2.57557821 -1.87741852 - 87 59 1.40421057 -2.54062295 - 87 60 -0.65600115 1.20493472 - 87 61 0.63649249 2.75738120 - 87 62 0.80598831 -0.87698728 - 87 63 -0.08842202 -0.24449459 - 87 64 0.60023183 -2.11499906 - 87 65 -0.73223907 0.77902579 - 87 66 -0.85186672 1.81259453 - 87 67 -2.12650585 2.45391679 - 87 68 -1.84808552 -0.53862482 - 87 69 -1.34868419 1.09781957 - 87 70 0.05526886 0.78494334 - 87 71 -0.01724596 -0.23831418 - 87 72 -1.35735071 -1.19674158 - 87 73 -2.53126645 0.19794954 - 87 74 -1.51116872 2.03458309 - 87 75 -1.48397374 3.41814804 - 87 76 -1.33348966 0.71876663 - 87 77 0.79347157 0.89862889 - 87 78 1.70153117 -0.01475757 - 87 79 -0.50817788 0.04794070 - 87 80 1.22155631 0.35544160 - 87 81 -3.54421020 0.68695050 - 87 82 -2.49951982 -0.26925769 - 87 83 -1.37829697 -0.00939186 - 87 84 -0.31064588 -3.59790874 - 87 85 -3.27431035 -0.18840197 - 87 86 0.44198573 1.27783728 - 87 87 1.50819814 -0.48548448 - 88 0 0.12452513 - 88 1 -1.33926141 0.10754269 - 88 2 -0.86116076 0.09549552 - 88 3 -0.17425442 0.94632763 - 88 4 -0.59638786 0.40339056 - 88 5 1.66334224 -0.47505996 - 88 6 0.47336364 2.44968677 - 88 7 1.00967574 0.68860841 - 88 8 -0.42223749 -2.24827147 - 88 9 -1.59049380 -1.48261213 - 88 10 2.13339853 0.85785824 - 88 11 1.91174877 0.99465221 - 88 12 0.07968529 -3.61429119 - 88 13 1.42020535 -1.54036629 - 88 14 0.87037098 3.34220314 - 88 15 -2.18207288 0.07229974 - 88 16 -1.32010150 -0.66256517 - 88 17 0.86204106 0.59431577 - 88 18 -0.11689419 1.10951650 - 88 19 2.73301578 -1.44555116 - 88 20 0.53015935 -2.39709735 - 88 21 -1.14013135 -0.71197909 - 88 22 -2.35350609 0.86243445 - 88 23 -0.09779917 -0.11094293 - 88 24 1.52992964 -0.72452986 - 88 25 -0.29407912 -1.22815347 - 88 26 2.62356973 -2.22066784 - 88 27 2.24528265 -2.10380864 - 88 28 -1.91353762 -1.31276262 - 88 29 -0.09022322 -0.21694966 - 88 30 -1.60302472 2.90465808 - 88 31 0.75001711 0.37402797 - 88 32 1.42115903 -2.42006373 - 88 33 -0.73617488 -0.73800445 - 88 34 -2.12834549 0.85281050 - 88 35 0.51017851 2.44624162 - 88 36 1.98550308 -0.03798651 - 88 37 0.65142983 -2.30726624 - 88 38 -2.51077580 -2.80262733 - 88 39 0.36591348 0.22647828 - 88 40 -0.51074100 1.05720890 - 88 41 -0.48817754 1.51836288 - 88 42 -0.54871088 -0.36913010 - 88 43 -0.03083250 -1.43419755 - 88 44 -3.45600057 0.34810764 - 88 45 -0.40527838 -0.21019551 - 88 46 -1.55547392 0.68097645 - 88 47 1.77478027 1.01315320 - 88 48 2.34039187 1.06714785 - 88 49 2.44777226 -0.83046234 - 88 50 -2.94368505 -1.35101485 - 88 51 -2.93978286 -1.21097112 - 88 52 -1.75279927 2.86866236 - 88 53 -0.53680801 0.66632229 - 88 54 1.25033092 0.57251132 - 88 55 0.74165559 2.05928516 - 88 56 1.52881515 0.89667034 - 88 57 2.32675552 -0.46964106 - 88 58 -1.27856672 0.54807955 - 88 59 -2.80958676 3.63223624 - 88 60 2.10051727 -0.27168843 - 88 61 2.34598041 -1.13094306 - 88 62 3.22763920 0.38425705 - 88 63 -0.71020579 1.64911520 - 88 64 0.01796308 0.80476564 - 88 65 0.75249827 -2.97831678 - 88 66 -0.12486229 -0.68903410 - 88 67 0.13933565 -1.09569335 - 88 68 -0.33774468 -0.89725453 - 88 69 2.45681477 -0.00534101 - 88 70 1.71135938 -0.71821755 - 88 71 2.04406476 -2.90177608 - 88 72 0.45437098 1.49883008 - 88 73 0.10866809 2.44825554 - 88 74 -0.37063006 1.45292902 - 88 75 2.74919367 -1.68981421 - 88 76 2.94314694 -3.50628591 - 88 77 1.83586872 -2.22275686 - 88 78 -1.35486412 0.01280472 - 88 79 -2.24330020 1.36748147 - 88 80 -2.54155397 -0.40249830 - 88 81 -0.69262511 -0.70613503 - 88 82 -0.41174892 -1.00146699 - 88 83 2.58497286 1.71157551 - 88 84 0.33414239 1.30573189 - 88 85 3.70916986 -0.79237044 - 88 86 -0.29217899 1.29495299 - 88 87 -1.32475817 -3.43958879 - 88 88 -0.59468567 -1.32971203 - 89 0 -1.61989617 - 89 1 -0.28653228 0.54171926 - 89 2 0.93531477 -0.33000892 - 89 3 -1.24241328 -2.13277245 - 89 4 0.18384914 1.60543478 - 89 5 -0.45697466 2.13944077 - 89 6 0.48433444 -1.75983405 - 89 7 0.42480621 -2.99046898 - 89 8 -1.98791564 1.42635190 - 89 9 0.52989054 3.30700827 - 89 10 1.88887012 -0.06505182 - 89 11 -1.72682977 -1.56926620 - 89 12 -1.31010735 1.00013018 - 89 13 -0.41908833 2.78070021 - 89 14 -1.29338896 0.30151173 - 89 15 0.69760060 -2.93764591 - 89 16 1.82715380 1.29195952 - 89 17 -0.33294842 1.03626382 - 89 18 0.27873623 -1.85028362 - 89 19 -1.65086257 -1.46254456 - 89 20 -2.10561991 -0.52051133 - 89 21 -1.48747599 1.32834387 - 89 22 0.99386770 0.60623431 - 89 23 2.25274563 -0.59017789 - 89 24 0.94286960 1.35995746 - 89 25 -0.12434442 0.21886669 - 89 26 -1.06468499 0.40260771 - 89 27 -3.23689938 2.13149858 - 89 28 -1.36941540 3.46702909 - 89 29 1.32263958 1.09967256 - 89 30 3.14739656 -0.89943051 - 89 31 0.89768046 -3.45512342 - 89 32 -0.25004265 -0.54451269 - 89 33 -1.22358549 1.33645272 - 89 34 0.91445816 3.95263910 - 89 35 2.71104074 -0.19830151 - 89 36 -0.70015842 -2.87300539 - 89 37 -2.58897281 -2.02663231 - 89 38 0.00611661 2.36138868 - 89 39 1.80227220 2.07044411 - 89 40 0.49805346 -0.45825616 - 89 41 1.82080019 -2.73753238 - 89 42 1.66713512 -1.30436015 - 89 43 0.73685306 -0.52244806 - 89 44 0.92202747 -1.80878758 - 89 45 1.40954328 -1.23959506 - 89 46 2.21636438 1.46927869 - 89 47 0.72308785 -0.13562493 - 89 48 -0.22282539 0.32796732 - 89 49 -1.52403116 -2.94582248 - 89 50 -1.28055239 -0.64579797 - 89 51 0.74947011 0.19274402 - 89 52 3.01398110 0.08544020 - 89 53 2.37917018 -0.10677662 - 89 54 -0.65871280 0.82963395 - 89 55 -0.13020912 -0.21505997 - 89 56 0.28755164 -2.60707736 - 89 57 -1.25423217 0.40694278 - 89 58 -3.32365227 1.45098937 - 89 59 1.55515277 0.31334424 - 89 60 2.66587186 -0.88982946 - 89 61 -1.63191915 -1.91066396 - 89 62 -1.68403172 -0.48127258 - 89 63 0.80793983 -0.56787884 - 89 64 1.80168545 2.39917421 - 89 65 0.22486128 0.85922861 - 89 66 -0.43332452 -1.55348229 - 89 67 0.81186742 0.08431923 - 89 68 0.81879562 0.02738002 - 89 69 -2.96322727 1.21267641 - 89 70 -3.75136948 0.19343144 - 89 71 -3.90518880 2.37927985 - 89 72 -0.10059547 -0.51584101 - 89 73 0.31739444 -2.59245062 - 89 74 2.19045496 -0.15169385 - 89 75 -2.14439583 -0.21141072 - 89 76 -2.35037065 1.80181110 - 89 77 -2.01508760 2.10722995 - 89 78 -2.10035777 1.71538854 - 89 79 1.38899267 -0.07198270 - 89 80 1.83301473 0.87408334 - 89 81 0.85439473 -2.56583905 - 89 82 -2.03189015 -0.49548906 - 89 83 -0.36547744 0.78210062 - 89 84 2.20974040 2.03205991 - 89 85 0.01906080 0.02830625 - 89 86 -1.91157603 -0.71528661 - 89 87 -1.64525247 2.43501472 - 89 88 0.23106623 3.74891233 - 89 89 0.39956164 1.90650547 - 90 0 -0.24903347 - 90 1 -0.14084587 -0.72813237 - 90 2 0.00684169 -0.29004297 - 90 3 2.00811005 1.17673135 - 90 4 0.63674450 0.03278719 - 90 5 -1.63181150 -2.13922787 - 90 6 -1.57310128 -1.68629479 - 90 7 -0.87635094 2.92182279 - 90 8 2.79235125 2.02655101 - 90 9 2.60000944 -1.48687446 - 90 10 -3.97918439 -1.13989842 - 90 11 -3.40561056 1.77995265 - 90 12 2.62892866 2.68043947 - 90 13 1.78293335 -1.91272092 - 90 14 1.08470488 -2.65929532 - 90 15 -0.57987362 2.40339828 - 90 16 -1.15770090 0.07536890 - 90 17 -0.27416170 -2.35717034 - 90 18 1.26585567 0.48584840 - 90 19 -0.65311134 2.32083869 - 90 20 1.57716572 0.38889977 - 90 21 3.06043506 -0.64369571 - 90 22 1.80207074 0.68668664 - 90 23 -1.18106651 0.35168311 - 90 24 -1.31203127 -0.72640967 - 90 25 0.52653790 0.70201391 - 90 26 0.29836151 2.07247615 - 90 27 -0.20670019 -0.80188704 - 90 28 2.51362538 -3.64946127 - 90 29 0.12136495 -1.48906255 - 90 30 -1.06238997 -1.25070477 - 90 31 -1.61413181 1.62826490 - 90 32 -0.78016049 3.18372631 - 90 33 -0.92242259 0.44292155 - 90 34 -0.39219087 -1.55828381 - 90 35 -1.09283304 -0.32932395 - 90 36 0.29999083 1.39806318 - 90 37 1.92201817 1.79618907 - 90 38 2.78842831 -0.53836089 - 90 39 -0.61242348 -1.36429703 - 90 40 0.02106882 -0.17161350 - 90 41 -1.37371683 1.18329120 - 90 42 -0.58441329 2.44402647 - 90 43 -1.02740240 2.08976793 - 90 44 1.15347254 0.81391650 - 90 45 -0.84950709 2.25604272 - 90 46 -1.20929849 0.09043547 - 90 47 -2.21631813 -1.40993571 - 90 48 -0.23727380 -0.74716836 - 90 49 -0.36819878 1.96366704 - 90 50 4.22250175 1.06031799 - 90 51 1.37178910 0.07273083 - 90 52 -0.90853912 -2.91136289 - 90 53 -2.22095132 -0.52195632 - 90 54 -0.81103247 0.73402953 - 90 55 -1.03779423 -0.16798750 - 90 56 0.61010295 -0.00137982 - 90 57 -0.03590718 0.20157187 - 90 58 3.57972836 -0.82033712 - 90 59 0.82902229 -3.25133705 - 90 60 -1.10110772 0.28629515 - 90 61 -1.60430944 2.39095140 - 90 62 0.65736115 -0.71084416 - 90 63 -0.97336704 1.08477378 - 90 64 -0.38248184 -0.64172691 - 90 65 -2.24266648 0.77763420 - 90 66 0.70928752 2.30757952 - 90 67 -2.23973703 -0.68662304 - 90 68 -1.72402167 -1.08568859 - 90 69 -1.45420969 0.72977310 - 90 70 0.76338869 2.90885305 - 90 71 1.43946743 0.00112334 - 90 72 -0.95557874 -1.57026243 - 90 73 -1.04578757 0.97287905 - 90 74 -0.79717267 1.31298316 - 90 75 1.52425361 1.25550354 - 90 76 0.04156547 2.26083302 - 90 77 0.19270681 -0.41941857 - 90 78 3.62316108 -2.50461793 - 90 79 -1.07492805 -2.17883110 - 90 80 -3.95493460 -0.73101252 - 90 81 -0.61944878 2.12489128 - 90 82 0.80947459 3.66996646 - 90 83 -2.02205992 -0.90572602 - 90 84 -2.08061075 -1.00965297 - 90 85 -0.17767636 0.66534227 - 90 86 -2.89626241 -0.33377224 - 90 87 -2.88976502 -2.93519521 - 90 88 -1.52670026 -2.57823300 - 90 89 0.33079559 -0.87737566 - 90 90 -3.71589661 -0.27240211 - -1 - 0.0000 0.0000 0.0000 diff --git a/cain/src/cain.f90 b/cain/src/cain.f90 deleted file mode 100644 index 09eb47e..0000000 --- a/cain/src/cain.f90 +++ /dev/null @@ -1,104 +0,0 @@ -!---------------------------------------------------------------------------- -! compute bcain -! inputs: -! 1) date string UTC, JD or any standard time format see: -! https://naif.jpl.nasa.gov/pub/naif/toolkit_docs/FORTRAN/spicelib/str2et.html -! 2) position in MSO -! -! outputs: -! 1) Bcain in MSO and IAU and it's magnitude -! 2) index indacting calculation is ok -! -!----------------------------------------------------------------------------- - - subroutine cain(str_time, px, py, pz, Btt, Bpp, Brr, Bx, By, Bz, B, ifail) - implicit real (kind=8) (a-h,o-z) - - external cread, gfield,trace_line -! spicelib routines - external pgrrec,recpgr, georec,recgeo,furnsh,bodvrd, rpd, dpr - external str2et, pxform, mxv, rotget - common /trace/ f,radii1,ds3,rm, maxln - -! real (kind=8):: l - real (kind=8):: dlong,dlongr - real (kind=8):: dlat, dlatr - real (kind=8):: alt,a,px,py,pz - real (kind=8):: radii(3),radii1 - real (kind=8):: f - ! to write end parameters - real (kind=8):: vec0(3), vec(3) - ! to convert IAU/MSO values - real (kind=8):: rot_mat(3,3), rot_matt(3,3), et -! logical :: found - - integer n - - real (kind=8):: rm ,rpd, dpr - - real (kind=8):: Bx, By, Bz, B, Btt, Bpp, Brr - character(2000) :: coeffs_cain_file = "FSU_mars90" - character(23) :: str_time -!------------------------------------------------------------- - - open (unit=12,file =trim(coeffs_cain_file)) - call bodvrd( 'MARS', 'RADII', 3, n, radii ) -! flattening coefficient = (RE-RP) / RE, where RP is the polar radius - f = (radii(1)-radii(3))/radii(1) - - radii1=radii(1) - -! ty intervient dans le calcul de coeffs tg -! t = ty - tzero -! tg(n,m) = g(n,m) + t*(gt(n,m)+t*gtt(n,m)) - ty=1999.6493 !date (JD?) - -! l en entree doit etre > 0 -! l en sortie de cread est mis a 0 si ty > tl (temps -! final) ou ty tl .or. ty < tf) write (out,15) ty - l = 0 - endif - - t = ty - tzero - - do n = 1, maxnt - do m = 1, maxnt - tg(n,m) = g(n,m) + t*(gt(n,m)+t*gtt(n,m)) - enddo - enddo - return - -! two formats for coeffs -! 10 format (2i3,6f11.5) - 10 format (2i3,2f16.8,4f10.5) - 9 format (a) -! 11 format ('0',a,/2x,'mxln=',i3,2x,'mxlnt=',i3,2x,'a=',f6.1,2x,'tzero=',f7.1,2x,'tf=',f7.1,2x,'tl=',f7.1) -! 12 format ('0 n m',8x,'g',10x,'h',10x,'gt',9x,'ht',8x,'gtt',8x,'htt') -! 13 format (2i3,2f11.2,2f11.3,2f11.4) -! 14 format (2i3,f11.2,11x,f11.3,11x,f11.4) -! 15 format ('0**warning,',f7.1,' is outside time limits') - 16 format (6x,8f11.4) -! 44 format (' first externals',/6x,8f11.4) - - end - - - subroutine cain_convrt (g,i,l,k) -! cain_convrt pour ne pas confondre avec convrt de la spicelib -! k=1 converts schmidt to gauss,k>1 converts gauss to schmidt - implicit real (kind=8) (a-h,o-z) - - parameter (md=101) - dimension s(md,md) - logical next - save s - data next/.false./ - -!print*,' cain_convrt g,i,l,k: ', g,i,l,k - if (.not. next) then - next = .true. - s(1,1) = -1. - do n = 2, md -! s(n,1) = s(n-1,1)*real(2*n-3)/real(n-1) ! Cain - s(n,1) = s(n-1,1)*real(2*n-3, kind=8)/real(n-1, kind=8) !dpo - s(1,n) = 0. - j = 2 - do m = 2, n -! s(n,m) = s(n,m-1)*sqrt(real((n-m+1)*j)/real(n+m-2)) !Cain - s(n,m) = s(n,m-1)*dsqrt(real((n-m+1)*j, kind=8)/real(n+m-2, kind=8)) !dpo - s(m-1,n) = s(n,m) - j = 1 - enddo - enddo - endif - - if (k > 1) then - g = g/s(i,l) - else - g = g*s(i,l) - endif - - return - end - - - subroutine con -! sets up constants for use by sphrc (normally called by one -! of the subroutines that sets up the coefficients tg) - - implicit real (kind=8) (a-h,o-z) - - parameter (md=101) - common/coeff/tg(md,md),c(md,md),fm(md),fn(md),ge(8) -! data c/3721*0./ ! assume computer core preset to zero or needed - - fm(1) = 0. - do n = 2, md - fm(n) = n-1 - fn(n) = n - do m = 1, n - c(n,m) = real( (n-2)**2 - (m-1)**2 ,kind=8)/real( (2*n-3)*(2*n-5), kind=8) - enddo - enddo - - return - end - - - subroutine sphrc -! assume computer core is initiallized to zero -! otherwise should zero p,dp,sp arrays -! this version best if frequent dipole only computation. -! otherwise would be better to put n=2 in main loop - implicit real (kind=8) (a-h,o-z) - - parameter (md=101) - common /gcom/ st,ct,sph,cph,aor,bt,bp,br,nmax,sind,cosd - common /coeff/ g(md,md),const(md,md),fm(md),fn(md),ge(8) - dimension p(md,md),dp(md,md),sp(md),cp(md) - dimension pp(0:md,0:md),dpp(0:md,0:md),s(0:md,0:md),q(0:md,0:md) - - - ar2 = aor**2 - ar = ar2*aor - gc = g(2,2)*cph + g(1,2)*sph - br = -ar2*g(1,1) - 2.*ar*(g(2,1)*ct+gc*st) - bt = ar*(gc*ct-g(2,1)*st) - bp = ar*(g(1,2)*cph-g(2,2)*sph) - if (nmax /= 2) then - bp = bp*st - p(2,1) = ct - dp(2,1) = -st - p(2,2) = st - dp(2,2) = ct - sp(2) = sph - cp(2) = cph - p(1,1) = 1. - do n = 3, nmax - sp(n) = sph*cp(n-1) + cph*sp(n-1) - cp(n) = cph*cp(n-1) - sph*sp(n-1) - dp(n,1) = ct*dp(n-1,1) - st*p(n-1,1) - const(n,1)*dp(n-2,1) - stm = g(n,1)*dp(n,1) - spm = 0. - p(n,1) = ct*p(n-1,1) - const(n,1)*p(n-2,1) - srm = -g(n,1)*p(n,1) - p(n,n) = st*p(n-1,n-1) - dp(n,n) = fm(n)*ct*p(n-1,n-1) - do m = 2, n - if (n /= m) then - p(n,m) = ct*p(n-1,m) - const(n,m)*p(n-2,m) - dp(n,m) = ct*dp(n-1,m) - st*p(n-1,m) - const(n,m)*dp(n-2,m) - endif - gc = g(n,m)*cp(m) + g(m-1,n)*sp(m) - stm = stm + gc*dp(n,m) - spm = spm + (g(m-1,n)*cp(m)-g(n,m)*sp(m))*fm(m)*p(n,m) - srm = srm - gc*p(n,m) - enddo - ar = aor*ar - bt = bt + stm*ar - bp = bp + spm*ar - br = br + srm*fn(n)*ar - enddo - if(st == 0.) st = 1.0e-9 ! Cain ori. -! print*, 'sphcar >>> st: ', - bp = bp/st - endif - ! assume first order external usually non-zero - - roa = 1./aor - c2ph = 2.*cph*cph - 1. - s2ph = 2.*sph*cph - - q(1,0) = ge(1) - q(1,1) = ge(2) - s(1,1) = ge(3) - q(2,0) = ge(4) - q(2,1) = ge(5) - s(2,1) = ge(6) - q(2,2) = ge(7) - s(2,2) = ge(8) - - pp(1,0) = p(2,1) - pp(1,1) = p(2,2) - pp(2,0) = p(3,1) - pp(2,1) = p(3,2) - pp(2,2) = p(3,3) - - dpp(1,0) = dp(2,1) - dpp(1,1) = dp(2,2) - dpp(2,0) = dp(3,1) - dpp(2,1) = dp(3,2) - dpp(2,2) = dp(3,3) - - - e_r = q(1,0)*pp(1,0)+(q(1,1)*cph+s(1,1)*sph)*pp(1,1) & - + (q(2,0)*pp(2,0)+(q(2,1)*cph+s(2,1)*sph)*pp(2,1)+(q(2,2)*c2ph+s(2,2)*s2ph)*pp(2,2))*2.0*roa - e_t = q(1,0)*dpp(1,0)+(q(1,1)*cph+s(1,1)*sph)*dpp(1,1) & - + (q(2,0)*dpp(2,0)+(q(2,1)*cph+s(2,1)*sph)*dpp(2,1)+(q(2,2)*c2ph+s(2,2)*s2ph)*dpp(2,2))*roa - e_p = (s(1,1)*cph-q(1,1)*sph) & - + ((s(2,1)*cph-q(2,1)*sph)*pp(2,1)+(s(2,2)*c2ph-q(2,2)*s2ph)*2.0*pp(2,2))*roa/st - - br = br - e_r - bt = bt - e_t - bp = bp - e_p -! print*, 'sphrc -> br, bt, bp: ', br, bt, bp - return - end - - - subroutine gfield(dlat,dlong,alt,mln,a,btt, bpp, brr, x,y,z,f) - - implicit real (kind=8) (a-h,o-z) - - common/gcom/st,ct,sph,cph,aor,bt,bp,br,nmax,sind,cosd - save re,a2,a4,a2b2,b2,a4b4 - ! data re,tlast,rp/2*0.,3374.9/ Cain - data re,tlast,rp/2*0.,3376.2/ !PCK00010.TPC - -! print*, 'gfield -> dlat,dlong,alt: ', dlat,dlong,alt - if (re /= 3396.19) then !Cain: 3396.9, PCK00010.TPC: 3396.19 - re = 3396.19 - a2 = re**2 - a4 = a2**2 -! flat = 1.-1./298.25 - flat=rp/re - b2 = (re*flat)**2 - a2b2 = a2*(1.-flat**2) - a4b4 = a4*(1.-flat**4) -! drad = atan(1.)/45. ! Cain orig. - end if - drad = atan(1.)/45. !dpo - sinla = dsin(dlat*drad) - rlong = dlong*drad - cph = dcos(rlong) - sph = dsin(rlong) -!print*, 'gfield drad rlong, cph, sph: ',drad, rlong, cph, sph - sinla2 = sinla**2 - cosla2 = 1. - sinla**2 - den2 = a2 - a2b2*sinla**2 - den = dsqrt(den2) - fac = ((alt*den+a2)/(alt*den+b2))**2 - r = dsqrt(alt*(alt+2.*den)+(a4-a4b4*sinla2)/den2) - ct = sinla/dsqrt(fac*cosla2+sinla2) - st = dsqrt(1.-ct**2) -! print*, 'r, ct, st: ', r, ct, st - nmax = mln + 1 - aor = a/r - call sphrc - f = dsqrt(bt**2+bp**2+br**2) - - btt=bt - bpp=bp - brr=br -! transforms to geodetic directions - sind = sinla*st-dsqrt(cosla2)*ct - cosd = dsqrt(1.-sind**2) - x = -bt*cosd-br*sind - y = bp - z = bt*sind-br*cosd -!print*,'### gfield dlat,dlong,alt, br, bt, bp : ', dlat,dlong,alt,br,bt,bp - return - end diff --git a/cain/src/steprk4.f90 b/cain/src/steprk4.f90 deleted file mode 100644 index 7ef28ca..0000000 --- a/cain/src/steprk4.f90 +++ /dev/null @@ -1,279 +0,0 @@ - subroutine rhand (x,y,z,r1,r2,r3) -! -! calculates the components of the right hand side vector in the geomagnetic field - - implicit real (kind=8) (a-h,o-z) - - real (kind=8):: vec (3) - common /trace/ f,radii1,ds3,rm,maxln - - vec(1)=x*rm - vec(2)=y*rm - vec(3)=z*rm - -!print*, 'rhand av recgeo vec,radii1, f : ',vec,radii1, f - call recpgr ( 'MARS', vec, radii1, f, dlongr, dlatr, alt ) -! call recgeo(vec,radii1, f , dlongr, dlatr, alt) - dlong=dlongr*dpr() - dlat= dlatr*dpr() -!print*, 'rhand ap recgeo dlong, dlat, alt : ',dlong, dlat, alt - -!print*, 'rhand av gfield dlat, dlong, alt maxln rm: ',dlat,dlong,alt,maxln,rm - call gfield(dlat,dlong,alt,maxln,rm,Btt,Bpp,Brr, Bx,By,Bz,B) -!print*, 'rhand ap gfield dlat,dlong,alt, Bx,By,Bz,B: ',dlat,dlong,alt, Bx,By,Bz,B -! print*, 'rhand ds3: ',ds3 - - b=ds3/sqrt(bx**2+by**2+bz**2) - r1=bx*b - r2=by*b - r3=bz*b - return - end - - - subroutine step(x,y,z,ds,dsmax,errin) - -! re-calculates the input values {x,y,z} for any point on a field line, -! by making a step along that line using runge-kutta-merson algorithm -! ds is a prescribed value of the current step size, dsmax is its upper limit. -! errin is a permissible error (its optimal value specified in the s/r trace) -! if the actual error (errcur) at the current step is larger than errin, the step is rejected, -! and the calculation is repeated a new with halved stepsize ds. -! if errcur is smaller than errin, the step is accepted, and the current value of ds is retained -! for the next step. -! if errcur is smaller than 0.04*errin, the step is accepted, and the value of ds for the next step -! is increased by the factor 1.5, but not larger than dsmax. - -! all the above parameters are input ones; output is the recalculated values of x,y,z - - implicit real (kind=8) (a-h,o-z) - - common /trace/ f,radii1,ds3,rm,maxln - - 1 ds3=-ds/3.d0 -!print* ,'ap 1 x,y,z= ', x,y,z - call rhand (x,y,z,r11,r12,r13) - call rhand (x+r11,y+r12,z+r13,r21,r22,r23) - call rhand (x+.5d0*(r11+r21),y+.5d0*(r12+r22),z+.5d0* & - (r13+r23),r31,r32,r33) - call rhand (x+.375d0*(r11+3.d0*r31),y+.375d0*(r12+3.d0*r32 & - ),z+.375d0*(r13+3.*r33),r41,r42,r43) - call rhand (x+1.5d0*(r11-3.*r31+4.d0*r41),y+1.5d0*(r12- & - 3.d0*r32+4.d0*r42),z+1.5d0*(r13-3.d0*r33+4.d0*r43), & - r51,r52,r53) - errcur=abs(r11-4.5d0*r31+4.d0*r41-.5d0*r51)+abs(r12-4.5d0*r32+4.d0*r42-.5d0* & - r52)+abs(r13-4.5d0*r33+4.d0*r43-.5d0*r53) -! ready for making the step, but check the accuracy; if insufficient, -! repeat the step with halved stepsize: - -!print* ,'ap 1 rhand x,y,z= ', x,y,z -! print*, 'step errcur errin: ', errcur, errin - - if (errcur.gt.errin) then - ds=ds*.5d0 - goto 1 - endif - -! accuracy is acceptable, but check if the stepsize is not too large; -! otherwise repeat the step with ds=dsmax - -! print*, 'step ds dsmax: ', ds, dsmax - if (abs(ds).gt.dsmax) then - ds=sign(dsmax,ds) - goto 1 - endif - -! making the step: - - x=x+.5d0*(r11+4.d0*r41+r51) - y=y+.5d0*(r12+4.d0*r42+r52) - z=z+.5d0*(r13+4.d0*r43+r53) - -! if the actual error is too small (less than 4% of errin) and ds smaller -! than dsmax/1.5, then we increase the stepsize for the next step by 50% - -!print*, 'step x, y, z, errcur, errin*0.04, ds, dsmax/1.5: ',x, y, z, errcur, errin*0.04, ds, dsmax/1.5 - if(errcur.lt.errin*.04d0.and.ds.lt.dsmax/1.5d0) ds=ds*1.5d0 -!print*, 'ds: ', ds - return - end - - - subroutine trace_line (xi,yi,zi,dir,dsmax,err,rlim,r0,xx,yy,zz,Bxx,Byy, Bzz,ll,lmax) -! -! traces a field line from an arbitrary point of space or to a -! limiting boundary - - implicit real (kind=8) (a-h,o-z) - common /trace/ f,radii1,ds3,rm,maxln - - real (kind=8):: vec (3) - real (kind=8):: xx(lmax), yy(lmax), zz(lmax) - real (kind=8):: Bxx(lmax), Byy(lmax), Bzz(lmax) - -!spicelib routines for coordinates conversion planetographic to -!cartesian - external pgrrec,recpgr, georec,recgeo,furnsh,bodvrd, rpd, dpr - -!print*, 'xi, yi, zi, dir, dsmax, rlim, lmax', xi, yi, zi, dir, dsmax, rlim, lmax - - ll=0 !nombre de points sur la ligne - nrev=0 - dd=dir - -! initialize the step size and starting point: - - ds=0.5d0*dir - x = xi - y = yi - z = zi -! rrr = sqrt(vec(1)**2+vec(2)**2+vec(3)**2) -! print*, 'x , y, z R, alt : ', vec(1), vec(2), vec(3), rrr, rrr-radii1 -! print*, 'x , y, z: ', x, y, z - -! here we call RHAND just to find out the sign of the radial component of the field -! vector, and to determine the initial direction of the tracing (i.e., either away -! or towards Earth): - - ds3=-ds/3.d0 -! print*, 'main av rhand, x,y, z r1 r2 r3: ', x,y,z,r1,r2,r3 - call rhand (x/rm,y/rm,z/rm,r1,r2,r3) -! print*, 'main apres rhand, x,y, z r1 r2 r3: ', x,y,z,r1,r2,r3 - ad=0.01d0 - if ((x/rm)*r1+(y/rm)*r2+(z/rm)*r3.lt.0.) ad=-0.01d0 -! print*, 'ad: ',ad -! |ad|=0.01 and its sign follows the rule: -! (1) if dir=1 (tracing antiparallel to b vector) then the sign of ad is the same as of br -! (2) if dir=-1 (tracing parallel to b vector) then the sign of ad is opposite to that of br -! ad is defined in order to initialize the value of rr (radial distance at previous step): - - rr=sqrt((x/rm)**2+(y/rm)**2+(z/rm)**2)+ad - - 1 ll=ll+1 -!print*,'av goto 7 x, y, z, ll, llmax = ', x, y, z, ll, lmax - if(ll.gt.lmax) then - x=x /rm - y=y /rm - z=z /rm - goto 7 - endif - ! if(ll.gt.lmax) goto 7 - - xx(ll)=x ! /rm - yy(ll)=y ! /rm - zz(ll)=z ! /rm - - vec(1)=x - vec(2)=y - vec(3)=z - - rrr = sqrt(vec(1)**2+vec(2)**2+vec(3)**2) -! print*, 'x , y, z R, alt : ', vec(1), vec(2), vec(3), rrr, rrr-radii1 - -! call recgeo(vec,radii1, f , dlongr, dlatr, alt) - call recpgr ( 'MARS', vec, radii1, f, dlongr, dlatr, alt ) - dlong=dlongr*dpr() - dlat= dlatr*dpr() - -! print*, 'av gfield dlat, dlong, alt maxln rm: ',dlat,dlong,alt,maxln,rm -! call gfield(dlat,dlong,alt,maxln,rm,Bx,By,Bz,B) - call gfield(dlat,dlong,alt,maxln,rm,Btt, Bpp, Brr, Bx,By,Bz,B) -! print*, 'ap main gfield Bx,By,Bz,B: ', Bx,By,Bz,B - Bxx(ll)=Bx - Byy(ll)=By - Bzz(ll)=Bz - - x=x/rm - y=y/rm - z=z/rm - - ryz=y**2+z**2 - r2=x**2+ryz - r=sqrt(r2) - -! check if the line hit the outer tracing boundary; if yes, then terminate -! the tracing (label 8). - -! print*, 'x,y,z: ', x,y,z -! print*, 'r rlim ll: ', r, rlim, ll - if (r.gt.rlim) goto 8 - -! check whether or not the inner tracing boundary was crossed from outside, -! if yes, then calculate the footpoint position by interpolation (go to label 6): -! r0 = alt0 - -! print*, 'av goto 6 r r0 rr: ', r, r0, rr - if (r.lt.r0.and.rr.gt.r) goto 6 -! print*, 'ap goto 6 r r0 rr: ', r, r0, rr - -! check if we are moving outward, or R is still larger than n*R_planet; n=3; if yes, proceed further: - - if (r.ge.rr.or.r.ge.3.d0) goto 4 - -! now we entered inside the sphere R=n: to avoid too large steps (and hence -! inaccurate interpolated position of the footpoint), enforce the progressively -! smaller stepsize values as we approach the inner boundary R=R0: - - fc=0.2d0 - if(r-r0.lt.0.05d0) fc=0.05d0 - al=fc*(r-r0+0.2d0) - ds=dir*al -! print*, 'apres goto 4 ' - 4 xr=x - yr=y - zr=z - - drp=r-rr - rr=r -! print*, 'av step x y z ds dsmax err: ', x,y,z,ds,dsmax,err - call step (x,y,z,ds,dsmax,err) -! print*, 'ap step x y z ds dsmax err: ', x,y,z,ds,dsmax,err - -! check the total number NREV of changes in the tracing radial direction; (NREV.GT.2) means -! that the line started making multiple loops, in which case we stop the process: - - r=sqrt(x**2+y**2+z**2) - dr=r-rr -!print*, 'dr, drp, drp*dr: ', dr, drp, drp*dr -!print*,'r, rr, dr, drp, nrev: ', r, rr, dr, drp, nrev -! if (drp*dr.lt.0.d0 ) nrev=nrev+1 - if (drp*dr.lt.0.d0.or.abs(dr).lt.1.d-5 ) nrev=nrev+1 !dpo -! print*,'r, rr, dr, drp, nrev: ', r, rr, dr, drp, nrev - ! if (nrev.gt.2) goto 8 - if (nrev.gt.3) goto 8 ! avec nrev=2 certaines lignes n'atteignent pas la - ! surface - - x=x*rm - y=y*rm - z=z*rm - -! print*, 'apres test nrev x, y, z: ', x, y, z - goto 1 - -! find the footpoint position by interpolating between the current and previous -! field line points: - -! 6 print*, 'av label 6 x, y, z, r1 : ', x, y, z, r1 - 6 r1=(r0-r)/(rr-r) - x=x-(x-xr)*r1 - y=y-(y-yr)*r1 - z=z-(z-zr)*r1 -! print*, 'ap label 6 x, y, z, r1 : ', x, y, z, r1 - goto 8 - -! 7 print*, 'lmax reached: ', lmax - 7 ll=lmax - 8 xf=x *rm - yf=y *rm - zf=z *rm -!print*,'xf,yf,zf= ', xf,yf,zf -! replace the coordinates of the last (L-th) point in the XX,YY,ZZ arrays -! so that they correspond to the estimated footpoint position {XF,YF,ZF}, -! satisfying: sqrt(XF**2+YF**2+ZF**2}=R0 -! print*, 'lmax, ll: ', ll - xx(ll)=xf - yy(ll)=yf - zz(ll)=zf - - return - end diff --git a/cainlib/CMakeLists.txt b/cainlib/CMakeLists.txt new file mode 100644 index 0000000..4692d85 --- /dev/null +++ b/cainlib/CMakeLists.txt @@ -0,0 +1,28 @@ +cmake_minimum_required(VERSION 2.6) + +PROJECT(cainlib CXX Fortran) + +add_definitions( -DLINUX ) + +set(CMAKE_BUILD_TYPE Release) + +set(CMAKE_CXX_FLAGS "-O3 -fPIC -fno-align-commons -fbounds-check -fbacktrace -ffixed-form") + +file( + GLOB + source_files + src/*.f90 +) + +add_library(cainlib SHARED ${source_files}) + +add_custom_command( TARGET cainlib + POST_BUILD + COMMAND ${CMAKE_COMMAND} -E echo "Copying unit test data.." + sOMMAND ${CMAKE_COMMAND} -E copy_directory src/FSU_mars90 cainlib + ) + +SET_TARGET_PROPERTIES(cainlib PROPERTIES LINKER_LANGUAGE CXX) + +install (TARGETS cainlib DESTINATION lib) +install (FILES src/include/cainlib.hh DESTINATION include) diff --git a/cainlib/src/FSU_mars90 b/cainlib/src/FSU_mars90 new file mode 100755 index 0000000..bf0e4ca --- /dev/null +++ b/cainlib/src/FSU_mars90 @@ -0,0 +1,4189 @@ + n*=90 to Mars data (AB1,AB2night,AB2day,MPO,SPO) + 3390.0 1998.0 1998.0 1999.6493 + 1 0 -1.89681733 + 1 1 -0.32750675 -0.30552042 + 2 0 0.17241816 + 2 1 1.12438285 0.11043704 + 2 2 1.29938209 0.80120724 + 3 0 0.88161999 + 3 1 -0.65117228 0.23495910 + 3 2 -1.10130453 -0.72806001 + 3 3 -1.03623295 -0.33552536 + 4 0 -0.88718134 + 4 1 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new file mode 100644 index 0000000..f65bac4 --- /dev/null +++ b/cainlib/src/cain.f90 @@ -0,0 +1,34 @@ +!---------------------------------------------------------------------------- +! compute bcain +! inputs: +! 2) position dlat,dlong,alt +! +! outputs: +! 1) Bcain in MSO and IAU and it's magnitude +! 2) index indacting calculation is ok +! +!----------------------------------------------------------------------------- + subroutine cain (dlat,dlong,alt,Btt,Bpp,Brr,Bx,By,Bz,B,ifail) +!------------------------------------------------------------- +! DECLARATION +!------------------------------------------------------------- + implicit real (kind=8) (a-h,o-z) + external cread, gfield + character(2000) :: coeffs_cain_file ="/home/hacene/amda/AMDA_COTS/& + &cainlib/src/FSU_mars90" + integer l + common /trace/rm, maxln + ! real dlat,dlong,alt,Btt,Bpp,Brr,Bx,By,Bz,B + integer ifail +!------------------------------------------------------------ +! END OF DECLARATION +!------------------------------------------------------------ + rm = 3396.2 + l = 1 + ty = 1999.6493 + open (unit=12,file =trim(coeffs_cain_file)) + call cread (12,ty,l,maxln,a) + write(*,*) "inputs", dlat,dlong,alt + call gfield(dlat,dlong,alt,maxln,rm,Btt, Bpp, Brr, Bx,By,Bz,B) + ifail = 1 + end diff --git a/cainlib/src/include/cainlib.hh b/cainlib/src/include/cainlib.hh new file mode 100644 index 0000000..0046873 --- /dev/null +++ b/cainlib/src/include/cainlib.hh @@ -0,0 +1,16 @@ +#ifndef CAINLIB_HH +#define CAINLIB_HH + +#ifdef __cplusplus +extern "C" { +#endif + + void cain_(double* dlat, double* dlong, double* alt, + double* Btt, double* Bpp, double* Brr, + double* Bx, double* By, double* Bz, + double* B, int* ifail); +#ifdef __cplusplus +} +#endif + +#endif diff --git a/cainlib/src/mflpgms4_dpo.f90 b/cainlib/src/mflpgms4_dpo.f90 new file mode 100644 index 0000000..b31a793 --- /dev/null +++ b/cainlib/src/mflpgms4_dpo.f90 @@ -0,0 +1,320 @@ + subroutine cread (in,ty,l,maxln,a) + ! subroutine cread (in,out,ty,l,maxln,a) +! reads schmidt coeffs (with true second derivatives) +! and sets up for gfield and/or sphrc +! mod 5/15/83 to make less work of time update (j. cain) +! only updates after l=0 to maximum nonzero gt or ht value +! expanded coefficient format: 2i3,2f16.8,f,4f10.5 +! also reads from unit 2, not 12 + implicit real (kind=8) (a-h,o-z) + + parameter (md=101) + common /coeff/tg(md,md),const(md,md),fm(md),fn(md),ge(8) + dimension g(md,md),gt(md,md),gtt(md,md) + character (len=72) :: ai +! integer out + +! real (kind=8):: g, gt, gtt ,tg, const, fm, fn, ge +! real (kind=8):: minn, maxn, maxnt, tf, tl, tzero +! real (kind=8) l + + if (l /= 0) then + minn = 2 + call con + maxn = 0 + maxnt = 0 + read (in,9) ai + read (in,*) a,tzero,tf,tl + do + read (in,10) ln,lm,gnm,hnm,gtnm,htnm,gttnm,httnm + n = ln + 1 + m = lm + 1 + if (lm*ln == 0) minn = 1 + if (ln < 0) exit + maxn = max(n,maxn) + if (gtnm /= 0. .or. htnm /= 0.) maxnt = max(n,maxnt) + g(n,m) = gnm + gt(n,m) = gtnm + gtt(n,m) = gttnm + if (lm == 0) cycle + g(lm,n) = hnm + gt(lm,n) = htnm + gtt(lm,n) = httnm + enddo + maxln = maxn - 1 + read (in,16) ge + close(in) +! write (out,11) ai,maxln,maxnt-1,a,tzero,tf,tl +! if (l <= 1) then +! write (out,12) +! do n = minn, maxn +! ln = n - 1 +! do m = 1, n +! lm = m - 1 +! if (m == 1) then +! write (out,14) ln,lm,g(n,m),gt(n,m),gtt(n,m) +! else +! write (out,13) ln,lm,g(n,m),g(lm,n),gt(n,m),gt(lm,n),gtt(n,m),gtt(lm,n) +! endif +! enddo +! enddo +! write (out,44) ge +! endif + + do n = 1, maxn + do m = 1, maxn + call cain_convrt(g(n,m),n,m,1) +!print*, 'ap. cain_convrt 1: ' + tg(n,m) = g(n,m) + call cain_convrt(gt(n,m),n,m,1) +!print*, 'ap. cain_convrt 2: ' + gtt(n,m) = 0.5*gtt(n,m) + call cain_convrt(gtt(n,m),n,m,1) +!print*, 'ap. cain_convrt 3: ' + enddo + enddo + + ! if(ty > tl .or. ty < tf) write (out,15) ty + l = 0 + endif + + t = ty - tzero + + do n = 1, maxnt + do m = 1, maxnt + tg(n,m) = g(n,m) + t*(gt(n,m)+t*gtt(n,m)) + enddo + enddo + return + +! two formats for coeffs +! 10 format (2i3,6f11.5) + 10 format (2i3,2f16.8,4f10.5) + 9 format (a) +! 11 format ('0',a,/2x,'mxln=',i3,2x,'mxlnt=',i3,2x,'a=',f6.1,2x,'tzero=',f7.1,2x,'tf=',f7.1,2x,'tl=',f7.1) +! 12 format ('0 n m',8x,'g',10x,'h',10x,'gt',9x,'ht',8x,'gtt',8x,'htt') +! 13 format (2i3,2f11.2,2f11.3,2f11.4) +! 14 format (2i3,f11.2,11x,f11.3,11x,f11.4) +! 15 format ('0**warning,',f7.1,' is outside time limits') + 16 format (6x,8f11.4) +! 44 format (' first externals',/6x,8f11.4) + + end + + + subroutine cain_convrt (g,i,l,k) +! cain_convrt pour ne pas confondre avec convrt de la spicelib +! k=1 converts schmidt to gauss,k>1 converts gauss to schmidt + implicit real (kind=8) (a-h,o-z) + + parameter (md=101) + dimension s(md,md) + logical next + save s + data next/.false./ + +!print*,' cain_convrt g,i,l,k: ', g,i,l,k + if (.not. next) then + next = .true. + s(1,1) = -1. + do n = 2, md +! s(n,1) = s(n-1,1)*real(2*n-3)/real(n-1) ! Cain + s(n,1) = s(n-1,1)*real(2*n-3, kind=8)/real(n-1, kind=8) !dpo + s(1,n) = 0. + j = 2 + do m = 2, n +! s(n,m) = s(n,m-1)*sqrt(real((n-m+1)*j)/real(n+m-2)) !Cain + s(n,m) = s(n,m-1)*dsqrt(real((n-m+1)*j, kind=8)/real(n+m-2, kind=8)) !dpo + s(m-1,n) = s(n,m) + j = 1 + enddo + enddo + endif + + if (k > 1) then + g = g/s(i,l) + else + g = g*s(i,l) + endif + + return + end + + + subroutine con +! sets up constants for use by sphrc (normally called by one +! of the subroutines that sets up the coefficients tg) + + implicit real (kind=8) (a-h,o-z) + + parameter (md=101) + common/coeff/tg(md,md),c(md,md),fm(md),fn(md),ge(8) +! data c/3721*0./ ! assume computer core preset to zero or needed + + fm(1) = 0. + do n = 2, md + fm(n) = n-1 + fn(n) = n + do m = 1, n + c(n,m) = real( (n-2)**2 - (m-1)**2 ,kind=8)/real( (2*n-3)*(2*n-5), kind=8) + enddo + enddo + + return + end + + + subroutine sphrc +! assume computer core is initiallized to zero +! otherwise should zero p,dp,sp arrays +! this version best if frequent dipole only computation. +! otherwise would be better to put n=2 in main loop + implicit real (kind=8) (a-h,o-z) + + parameter (md=101) + common /gcom/ st,ct,sph,cph,aor,bt,bp,br,nmax,sind,cosd + common /coeff/ g(md,md),const(md,md),fm(md),fn(md),ge(8) + dimension p(md,md),dp(md,md),sp(md),cp(md) + dimension pp(0:md,0:md),dpp(0:md,0:md),s(0:md,0:md),q(0:md,0:md) + + + ar2 = aor**2 + ar = ar2*aor + gc = g(2,2)*cph + g(1,2)*sph + br = -ar2*g(1,1) - 2.*ar*(g(2,1)*ct+gc*st) + bt = ar*(gc*ct-g(2,1)*st) + bp = ar*(g(1,2)*cph-g(2,2)*sph) + if (nmax /= 2) then + bp = bp*st + p(2,1) = ct + dp(2,1) = -st + p(2,2) = st + dp(2,2) = ct + sp(2) = sph + cp(2) = cph + p(1,1) = 1. + do n = 3, nmax + sp(n) = sph*cp(n-1) + cph*sp(n-1) + cp(n) = cph*cp(n-1) - sph*sp(n-1) + dp(n,1) = ct*dp(n-1,1) - st*p(n-1,1) - const(n,1)*dp(n-2,1) + stm = g(n,1)*dp(n,1) + spm = 0. + p(n,1) = ct*p(n-1,1) - const(n,1)*p(n-2,1) + srm = -g(n,1)*p(n,1) + p(n,n) = st*p(n-1,n-1) + dp(n,n) = fm(n)*ct*p(n-1,n-1) + do m = 2, n + if (n /= m) then + p(n,m) = ct*p(n-1,m) - const(n,m)*p(n-2,m) + dp(n,m) = ct*dp(n-1,m) - st*p(n-1,m) - const(n,m)*dp(n-2,m) + endif + gc = g(n,m)*cp(m) + g(m-1,n)*sp(m) + stm = stm + gc*dp(n,m) + spm = spm + (g(m-1,n)*cp(m)-g(n,m)*sp(m))*fm(m)*p(n,m) + srm = srm - gc*p(n,m) + enddo + ar = aor*ar + bt = bt + stm*ar + bp = bp + spm*ar + br = br + srm*fn(n)*ar + enddo + if(st == 0.) st = 1.0e-9 ! Cain ori. +! print*, 'sphcar >>> st: ', + bp = bp/st + endif + ! assume first order external usually non-zero + + roa = 1./aor + c2ph = 2.*cph*cph - 1. + s2ph = 2.*sph*cph + + q(1,0) = ge(1) + q(1,1) = ge(2) + s(1,1) = ge(3) + q(2,0) = ge(4) + q(2,1) = ge(5) + s(2,1) = ge(6) + q(2,2) = ge(7) + s(2,2) = ge(8) + + pp(1,0) = p(2,1) + pp(1,1) = p(2,2) + pp(2,0) = p(3,1) + pp(2,1) = p(3,2) + pp(2,2) = p(3,3) + + dpp(1,0) = dp(2,1) + dpp(1,1) = dp(2,2) + dpp(2,0) = dp(3,1) + dpp(2,1) = dp(3,2) + dpp(2,2) = dp(3,3) + + + e_r = q(1,0)*pp(1,0)+(q(1,1)*cph+s(1,1)*sph)*pp(1,1) & + + (q(2,0)*pp(2,0)+(q(2,1)*cph+s(2,1)*sph)*pp(2,1)+(q(2,2)*c2ph+s(2,2)*s2ph)*pp(2,2))*2.0*roa + e_t = q(1,0)*dpp(1,0)+(q(1,1)*cph+s(1,1)*sph)*dpp(1,1) & + + (q(2,0)*dpp(2,0)+(q(2,1)*cph+s(2,1)*sph)*dpp(2,1)+(q(2,2)*c2ph+s(2,2)*s2ph)*dpp(2,2))*roa + e_p = (s(1,1)*cph-q(1,1)*sph) & + + ((s(2,1)*cph-q(2,1)*sph)*pp(2,1)+(s(2,2)*c2ph-q(2,2)*s2ph)*2.0*pp(2,2))*roa/st + + br = br - e_r + bt = bt - e_t + bp = bp - e_p +! print*, 'sphrc -> br, bt, bp: ', br, bt, bp + return + end + + + subroutine gfield(dlat,dlong,alt,mln,a,btt, bpp, brr, x,y,z,f) + + implicit real (kind=8) (a-h,o-z) + + common/gcom/st,ct,sph,cph,aor,bt,bp,br,nmax,sind,cosd + save re,a2,a4,a2b2,b2,a4b4 + ! data re,tlast,rp/2*0.,3374.9/ Cain + data re,tlast,rp/2*0.,3376.2/ !PCK00010.TPC + +! print*, 'gfield -> dlat,dlong,alt: ', dlat,dlong,alt + if (re /= 3396.19) then !Cain: 3396.9, PCK00010.TPC: 3396.19 + re = 3396.19 + a2 = re**2 + a4 = a2**2 +! flat = 1.-1./298.25 + flat=rp/re + b2 = (re*flat)**2 + a2b2 = a2*(1.-flat**2) + a4b4 = a4*(1.-flat**4) +! drad = atan(1.)/45. ! Cain orig. + end if + drad = atan(1.)/45. !dpo + sinla = dsin(dlat*drad) + rlong = dlong*drad + cph = dcos(rlong) + sph = dsin(rlong) +!print*, 'gfield drad rlong, cph, sph: ',drad, rlong, cph, sph + sinla2 = sinla**2 + cosla2 = 1. - sinla**2 + den2 = a2 - a2b2*sinla**2 + den = dsqrt(den2) + fac = ((alt*den+a2)/(alt*den+b2))**2 + r = dsqrt(alt*(alt+2.*den)+(a4-a4b4*sinla2)/den2) + ct = sinla/dsqrt(fac*cosla2+sinla2) + st = dsqrt(1.-ct**2) +! print*, 'r, ct, st: ', r, ct, st + nmax = mln + 1 + aor = a/r + call sphrc + f = dsqrt(bt**2+bp**2+br**2) + + btt=bt + bpp=bp + brr=br +! transforms to geodetic directions + sind = sinla*st-dsqrt(cosla2)*ct + cosd = dsqrt(1.-sind**2) + x = -bt*cosd-br*sind + y = bp + z = bt*sind-br*cosd +!print*,'### gfield dlat,dlong,alt, br, bt, bp : ', dlat,dlong,alt,br,bt,bp + return + end diff --git a/cainlib/src/steprk4.f90 b/cainlib/src/steprk4.f90 new file mode 100644 index 0000000..7ef28ca --- /dev/null +++ b/cainlib/src/steprk4.f90 @@ -0,0 +1,279 @@ + subroutine rhand (x,y,z,r1,r2,r3) +! +! calculates the components of the right hand side vector in the geomagnetic field + + implicit real (kind=8) (a-h,o-z) + + real (kind=8):: vec (3) + common /trace/ f,radii1,ds3,rm,maxln + + vec(1)=x*rm + vec(2)=y*rm + vec(3)=z*rm + +!print*, 'rhand av recgeo vec,radii1, f : ',vec,radii1, f + call recpgr ( 'MARS', vec, radii1, f, dlongr, dlatr, alt ) +! call recgeo(vec,radii1, f , dlongr, dlatr, alt) + dlong=dlongr*dpr() + dlat= dlatr*dpr() +!print*, 'rhand ap recgeo dlong, dlat, alt : ',dlong, dlat, alt + +!print*, 'rhand av gfield dlat, dlong, alt maxln rm: ',dlat,dlong,alt,maxln,rm + call gfield(dlat,dlong,alt,maxln,rm,Btt,Bpp,Brr, Bx,By,Bz,B) +!print*, 'rhand ap gfield dlat,dlong,alt, Bx,By,Bz,B: ',dlat,dlong,alt, Bx,By,Bz,B +! print*, 'rhand ds3: ',ds3 + + b=ds3/sqrt(bx**2+by**2+bz**2) + r1=bx*b + r2=by*b + r3=bz*b + return + end + + + subroutine step(x,y,z,ds,dsmax,errin) + +! re-calculates the input values {x,y,z} for any point on a field line, +! by making a step along that line using runge-kutta-merson algorithm +! ds is a prescribed value of the current step size, dsmax is its upper limit. +! errin is a permissible error (its optimal value specified in the s/r trace) +! if the actual error (errcur) at the current step is larger than errin, the step is rejected, +! and the calculation is repeated a new with halved stepsize ds. +! if errcur is smaller than errin, the step is accepted, and the current value of ds is retained +! for the next step. +! if errcur is smaller than 0.04*errin, the step is accepted, and the value of ds for the next step +! is increased by the factor 1.5, but not larger than dsmax. + +! all the above parameters are input ones; output is the recalculated values of x,y,z + + implicit real (kind=8) (a-h,o-z) + + common /trace/ f,radii1,ds3,rm,maxln + + 1 ds3=-ds/3.d0 +!print* ,'ap 1 x,y,z= ', x,y,z + call rhand (x,y,z,r11,r12,r13) + call rhand (x+r11,y+r12,z+r13,r21,r22,r23) + call rhand (x+.5d0*(r11+r21),y+.5d0*(r12+r22),z+.5d0* & + (r13+r23),r31,r32,r33) + call rhand (x+.375d0*(r11+3.d0*r31),y+.375d0*(r12+3.d0*r32 & + ),z+.375d0*(r13+3.*r33),r41,r42,r43) + call rhand (x+1.5d0*(r11-3.*r31+4.d0*r41),y+1.5d0*(r12- & + 3.d0*r32+4.d0*r42),z+1.5d0*(r13-3.d0*r33+4.d0*r43), & + r51,r52,r53) + errcur=abs(r11-4.5d0*r31+4.d0*r41-.5d0*r51)+abs(r12-4.5d0*r32+4.d0*r42-.5d0* & + r52)+abs(r13-4.5d0*r33+4.d0*r43-.5d0*r53) +! ready for making the step, but check the accuracy; if insufficient, +! repeat the step with halved stepsize: + +!print* ,'ap 1 rhand x,y,z= ', x,y,z +! print*, 'step errcur errin: ', errcur, errin + + if (errcur.gt.errin) then + ds=ds*.5d0 + goto 1 + endif + +! accuracy is acceptable, but check if the stepsize is not too large; +! otherwise repeat the step with ds=dsmax + +! print*, 'step ds dsmax: ', ds, dsmax + if (abs(ds).gt.dsmax) then + ds=sign(dsmax,ds) + goto 1 + endif + +! making the step: + + x=x+.5d0*(r11+4.d0*r41+r51) + y=y+.5d0*(r12+4.d0*r42+r52) + z=z+.5d0*(r13+4.d0*r43+r53) + +! if the actual error is too small (less than 4% of errin) and ds smaller +! than dsmax/1.5, then we increase the stepsize for the next step by 50% + +!print*, 'step x, y, z, errcur, errin*0.04, ds, dsmax/1.5: ',x, y, z, errcur, errin*0.04, ds, dsmax/1.5 + if(errcur.lt.errin*.04d0.and.ds.lt.dsmax/1.5d0) ds=ds*1.5d0 +!print*, 'ds: ', ds + return + end + + + subroutine trace_line (xi,yi,zi,dir,dsmax,err,rlim,r0,xx,yy,zz,Bxx,Byy, Bzz,ll,lmax) +! +! traces a field line from an arbitrary point of space or to a +! limiting boundary + + implicit real (kind=8) (a-h,o-z) + common /trace/ f,radii1,ds3,rm,maxln + + real (kind=8):: vec (3) + real (kind=8):: xx(lmax), yy(lmax), zz(lmax) + real (kind=8):: Bxx(lmax), Byy(lmax), Bzz(lmax) + +!spicelib routines for coordinates conversion planetographic to +!cartesian + external pgrrec,recpgr, georec,recgeo,furnsh,bodvrd, rpd, dpr + +!print*, 'xi, yi, zi, dir, dsmax, rlim, lmax', xi, yi, zi, dir, dsmax, rlim, lmax + + ll=0 !nombre de points sur la ligne + nrev=0 + dd=dir + +! initialize the step size and starting point: + + ds=0.5d0*dir + x = xi + y = yi + z = zi +! rrr = sqrt(vec(1)**2+vec(2)**2+vec(3)**2) +! print*, 'x , y, z R, alt : ', vec(1), vec(2), vec(3), rrr, rrr-radii1 +! print*, 'x , y, z: ', x, y, z + +! here we call RHAND just to find out the sign of the radial component of the field +! vector, and to determine the initial direction of the tracing (i.e., either away +! or towards Earth): + + ds3=-ds/3.d0 +! print*, 'main av rhand, x,y, z r1 r2 r3: ', x,y,z,r1,r2,r3 + call rhand (x/rm,y/rm,z/rm,r1,r2,r3) +! print*, 'main apres rhand, x,y, z r1 r2 r3: ', x,y,z,r1,r2,r3 + ad=0.01d0 + if ((x/rm)*r1+(y/rm)*r2+(z/rm)*r3.lt.0.) ad=-0.01d0 +! print*, 'ad: ',ad +! |ad|=0.01 and its sign follows the rule: +! (1) if dir=1 (tracing antiparallel to b vector) then the sign of ad is the same as of br +! (2) if dir=-1 (tracing parallel to b vector) then the sign of ad is opposite to that of br +! ad is defined in order to initialize the value of rr (radial distance at previous step): + + rr=sqrt((x/rm)**2+(y/rm)**2+(z/rm)**2)+ad + + 1 ll=ll+1 +!print*,'av goto 7 x, y, z, ll, llmax = ', x, y, z, ll, lmax + if(ll.gt.lmax) then + x=x /rm + y=y /rm + z=z /rm + goto 7 + endif + ! if(ll.gt.lmax) goto 7 + + xx(ll)=x ! /rm + yy(ll)=y ! /rm + zz(ll)=z ! /rm + + vec(1)=x + vec(2)=y + vec(3)=z + + rrr = sqrt(vec(1)**2+vec(2)**2+vec(3)**2) +! print*, 'x , y, z R, alt : ', vec(1), vec(2), vec(3), rrr, rrr-radii1 + +! call recgeo(vec,radii1, f , dlongr, dlatr, alt) + call recpgr ( 'MARS', vec, radii1, f, dlongr, dlatr, alt ) + dlong=dlongr*dpr() + dlat= dlatr*dpr() + +! print*, 'av gfield dlat, dlong, alt maxln rm: ',dlat,dlong,alt,maxln,rm +! call gfield(dlat,dlong,alt,maxln,rm,Bx,By,Bz,B) + call gfield(dlat,dlong,alt,maxln,rm,Btt, Bpp, Brr, Bx,By,Bz,B) +! print*, 'ap main gfield Bx,By,Bz,B: ', Bx,By,Bz,B + Bxx(ll)=Bx + Byy(ll)=By + Bzz(ll)=Bz + + x=x/rm + y=y/rm + z=z/rm + + ryz=y**2+z**2 + r2=x**2+ryz + r=sqrt(r2) + +! check if the line hit the outer tracing boundary; if yes, then terminate +! the tracing (label 8). + +! print*, 'x,y,z: ', x,y,z +! print*, 'r rlim ll: ', r, rlim, ll + if (r.gt.rlim) goto 8 + +! check whether or not the inner tracing boundary was crossed from outside, +! if yes, then calculate the footpoint position by interpolation (go to label 6): +! r0 = alt0 + +! print*, 'av goto 6 r r0 rr: ', r, r0, rr + if (r.lt.r0.and.rr.gt.r) goto 6 +! print*, 'ap goto 6 r r0 rr: ', r, r0, rr + +! check if we are moving outward, or R is still larger than n*R_planet; n=3; if yes, proceed further: + + if (r.ge.rr.or.r.ge.3.d0) goto 4 + +! now we entered inside the sphere R=n: to avoid too large steps (and hence +! inaccurate interpolated position of the footpoint), enforce the progressively +! smaller stepsize values as we approach the inner boundary R=R0: + + fc=0.2d0 + if(r-r0.lt.0.05d0) fc=0.05d0 + al=fc*(r-r0+0.2d0) + ds=dir*al +! print*, 'apres goto 4 ' + 4 xr=x + yr=y + zr=z + + drp=r-rr + rr=r +! print*, 'av step x y z ds dsmax err: ', x,y,z,ds,dsmax,err + call step (x,y,z,ds,dsmax,err) +! print*, 'ap step x y z ds dsmax err: ', x,y,z,ds,dsmax,err + +! check the total number NREV of changes in the tracing radial direction; (NREV.GT.2) means +! that the line started making multiple loops, in which case we stop the process: + + r=sqrt(x**2+y**2+z**2) + dr=r-rr +!print*, 'dr, drp, drp*dr: ', dr, drp, drp*dr +!print*,'r, rr, dr, drp, nrev: ', r, rr, dr, drp, nrev +! if (drp*dr.lt.0.d0 ) nrev=nrev+1 + if (drp*dr.lt.0.d0.or.abs(dr).lt.1.d-5 ) nrev=nrev+1 !dpo +! print*,'r, rr, dr, drp, nrev: ', r, rr, dr, drp, nrev + ! if (nrev.gt.2) goto 8 + if (nrev.gt.3) goto 8 ! avec nrev=2 certaines lignes n'atteignent pas la + ! surface + + x=x*rm + y=y*rm + z=z*rm + +! print*, 'apres test nrev x, y, z: ', x, y, z + goto 1 + +! find the footpoint position by interpolating between the current and previous +! field line points: + +! 6 print*, 'av label 6 x, y, z, r1 : ', x, y, z, r1 + 6 r1=(r0-r)/(rr-r) + x=x-(x-xr)*r1 + y=y-(y-yr)*r1 + z=z-(z-zr)*r1 +! print*, 'ap label 6 x, y, z, r1 : ', x, y, z, r1 + goto 8 + +! 7 print*, 'lmax reached: ', lmax + 7 ll=lmax + 8 xf=x *rm + yf=y *rm + zf=z *rm +!print*,'xf,yf,zf= ', xf,yf,zf +! replace the coordinates of the last (L-th) point in the XX,YY,ZZ arrays +! so that they correspond to the estimated footpoint position {XF,YF,ZF}, +! satisfying: sqrt(XF**2+YF**2+ZF**2}=R0 +! print*, 'lmax, ll: ', ll + xx(ll)=xf + yy(ll)=yf + zz(ll)=zf + + return + end -- libgit2 0.21.2