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-rw-r--r--sysdeps/libm-ieee754/t_exp2.h585
1 files changed, 585 insertions, 0 deletions
diff --git a/sysdeps/libm-ieee754/t_exp2.h b/sysdeps/libm-ieee754/t_exp2.h
new file mode 100644
index 0000000000..1fd73338cf
--- /dev/null
+++ b/sysdeps/libm-ieee754/t_exp2.h
@@ -0,0 +1,585 @@
+/* These values are accurate to 52+12 bits when represented as
+   a double.  */
+static const double exp2_accuratetable[512] = {
+0.707106781187802013759 /* 0x0.b504f333fb3f80007 */,
+0.708064712808760599040 /* 0x0.b543baa0f71b38000 */,
+0.709023942160304065938 /* 0x0.b58297d3a8d518002 */,
+0.709984470998547667624 /* 0x0.b5c18ad39b4ba0001 */,
+0.710946301084324217006 /* 0x0.b60093a85e8d30001 */,
+0.711909434180505784637 /* 0x0.b63fb25984e628005 */,
+0.712873872052760648733 /* 0x0.b67ee6eea3b5f8003 */,
+0.713839616467838999908 /* 0x0.b6be316f518c98001 */,
+0.714806669195984345523 /* 0x0.b6fd91e328d148007 */,
+0.715775032009894562898 /* 0x0.b73d0851c69e20002 */,
+0.716744706683768884058 /* 0x0.b77c94c2c9b3d0003 */,
+0.717715694995770148178 /* 0x0.b7bc373dd52eb0003 */,
+0.718687998724665488852 /* 0x0.b7fbefca8cd530004 */,
+0.719661619652575468291 /* 0x0.b83bbe70981da8001 */,
+0.720636559564428180758 /* 0x0.b87ba337a194b0006 */,
+0.721612820246623098989 /* 0x0.b8bb9e27556508004 */,
+0.722590403488338473025 /* 0x0.b8fbaf4762c798006 */,
+0.723569311081411870036 /* 0x0.b93bd69f7be1d0000 */,
+0.724549544820974333906 /* 0x0.b97c1437567828007 */,
+0.725531106502312561633 /* 0x0.b9bc6816a87ae8002 */,
+0.726513997924421062181 /* 0x0.b9fcd2452bee00000 */,
+0.727498220889519875430 /* 0x0.ba3d52ca9e6148002 */,
+0.728483777200401694265 /* 0x0.ba7de9aebe05c8003 */,
+0.729470668664712662563 /* 0x0.babe96f94e62a8002 */,
+0.730458897090379144517 /* 0x0.baff5ab2134df0004 */,
+0.731448464287988597833 /* 0x0.bb4034e0d38ab0000 */,
+0.732439372072965166897 /* 0x0.bb81258d5b2d60001 */,
+0.733431622260458326859 /* 0x0.bbc22cbf75fd28001 */,
+0.734425216668725511232 /* 0x0.bc034a7ef32c00001 */,
+0.735420157118880535324 /* 0x0.bc447ed3a50fe0005 */,
+0.736416445434497690674 /* 0x0.bc85c9c560b350001 */,
+0.737414083433310718618 /* 0x0.bcc72b5bf4b4e0000 */,
+0.738413072966152328496 /* 0x0.bd08a39f5417a8007 */,
+0.739413415848264365956 /* 0x0.bd4a32974abcd0002 */,
+0.740415113911250699637 /* 0x0.bd8bd84bb68300002 */,
+0.741418168994518067562 /* 0x0.bdcd94c47ddd30003 */,
+0.742422582936659858376 /* 0x0.be0f6809865968006 */,
+0.743428357577745613238 /* 0x0.be515222b72530003 */,
+0.744435494762383687126 /* 0x0.be935317fc6ba0002 */,
+0.745443996335090397492 /* 0x0.bed56af1423de8001 */,
+0.746453864145572798553 /* 0x0.bf1799b67a6248007 */,
+0.747465100043933849969 /* 0x0.bf59df6f970e70002 */,
+0.748477705883256683178 /* 0x0.bf9c3c248dbee8001 */,
+0.749491683518965001732 /* 0x0.bfdeafdd568308000 */,
+0.750507034813367890373 /* 0x0.c0213aa1f0fc38004 */,
+0.751523761622240105153 /* 0x0.c063dc7a559ca0003 */,
+0.752541865811731880422 /* 0x0.c0a6956e883ed8000 */,
+0.753561349247157341600 /* 0x0.c0e965868bd220006 */,
+0.754582213796583967110 /* 0x0.c12c4cca664cb8002 */,
+0.755604461332336940791 /* 0x0.c16f4b42225350006 */,
+0.756628093726406381068 /* 0x0.c1b260f5ca2c48002 */,
+0.757653112855631305506 /* 0x0.c1f58ded6d72d8001 */,
+0.758679520599333412360 /* 0x0.c238d2311e7d08001 */,
+0.759707318837184453227 /* 0x0.c27c2dc8f00368005 */,
+0.760736509456435783249 /* 0x0.c2bfa0bcfd1400000 */,
+0.761767094336480043995 /* 0x0.c3032b155818d0000 */,
+0.762799075372231349951 /* 0x0.c346ccda248cc0001 */,
+0.763832454453522768941 /* 0x0.c38a8613805488005 */,
+0.764867233473625618441 /* 0x0.c3ce56c98d1ca8005 */,
+0.765903414329434539816 /* 0x0.c4123f04708d80002 */,
+0.766940998920452976510 /* 0x0.c4563ecc532dc0001 */,
+0.767979989148100838946 /* 0x0.c49a56295f9f88006 */,
+0.769020386915772125040 /* 0x0.c4de8523c2b0a0001 */,
+0.770062194131770905170 /* 0x0.c522cbc3ae94e0003 */,
+0.771105412703856241146 /* 0x0.c5672a1154e6b8004 */,
+0.772150044545352520777 /* 0x0.c5aba014ed5f18003 */,
+0.773196091570364285606 /* 0x0.c5f02dd6b09288003 */,
+0.774243555696622731700 /* 0x0.c634d35edb1260003 */,
+0.775292438842697939641 /* 0x0.c67990b5aa5c18004 */,
+0.776342742931542928455 /* 0x0.c6be65e360bed8000 */,
+0.777394469888802008854 /* 0x0.c70352f0437f50004 */,
+0.778447621641124243320 /* 0x0.c74857e498fd00006 */,
+0.779502200118583399303 /* 0x0.c78d74c8ab5b60000 */,
+0.780558207255445668515 /* 0x0.c7d2a9a4c959f8000 */,
+0.781615644985491186966 /* 0x0.c817f681412f80002 */,
+0.782674515247667956808 /* 0x0.c85d5b6666c150006 */,
+0.783734819983036512536 /* 0x0.c8a2d85c904760003 */,
+0.784796561133562109454 /* 0x0.c8e86d6c14f850002 */,
+0.785859740645942328471 /* 0x0.c92e1a9d513ec8002 */,
+0.786924360469767103536 /* 0x0.c973dff8a4b390007 */,
+0.787990422552312885808 /* 0x0.c9b9bd866c6440007 */,
+0.789057928854407064640 /* 0x0.c9ffb34f1444b0001 */,
+0.790126881326406182996 /* 0x0.ca45c15afcc570001 */,
+0.791197281930050233534 /* 0x0.ca8be7b292db38000 */,
+0.792269132620954885659 /* 0x0.cad2265e3cbee8000 */,
+0.793342435380726906957 /* 0x0.cb187d667d3d38006 */,
+0.794417192158282659010 /* 0x0.cb5eecd3b33158006 */,
+0.795493404931386649540 /* 0x0.cba574ae5d2e80001 */,
+0.796571075671306805268 /* 0x0.cbec14fef2a348004 */,
+0.797650206352955137846 /* 0x0.cc32cdcdef0000000 */,
+0.798730798954342069432 /* 0x0.cc799f23d11d18000 */,
+0.799812855456121796232 /* 0x0.ccc089091abb28004 */,
+0.800896377841454287795 /* 0x0.cd078b86505c18003 */,
+0.801981368096190028208 /* 0x0.cd4ea6a3f97720007 */,
+0.803067828208752554378 /* 0x0.cd95da6aa057b8007 */,
+0.804155760170129796375 /* 0x0.cddd26e2d21b28001 */,
+0.805245165974338261710 /* 0x0.ce248c151f3330001 */,
+0.806336047619038653883 /* 0x0.ce6c0a0a1c1350001 */,
+0.807428407102107836855 /* 0x0.ceb3a0ca5d6be0006 */,
+0.808522246427078927792 /* 0x0.cefb505e7e2550007 */,
+0.809617567597010201484 /* 0x0.cf4318cf18a268002 */,
+0.810714372621179513182 /* 0x0.cf8afa24ce1c98004 */,
+0.811812663508675536069 /* 0x0.cfd2f4683f9810005 */,
+0.812912442272482604912 /* 0x0.d01b07a2126188003 */,
+0.814013710929394895825 /* 0x0.d06333daeff618001 */,
+0.815116471495287542325 /* 0x0.d0ab791b80d028006 */,
+0.816220725993571205593 /* 0x0.d0f3d76c75b330000 */,
+0.817326476447408967199 /* 0x0.d13c4ed67f1cf8000 */,
+0.818433724883006474832 /* 0x0.d184df6250e3b0001 */,
+0.819542473330909460055 /* 0x0.d1cd8918a3a328004 */,
+0.820652723822034690935 /* 0x0.d2164c02305fa0002 */,
+0.821764478391968422618 /* 0x0.d25f2827b53fb0005 */,
+0.822877739077315761840 /* 0x0.d2a81d91f188b8000 */,
+0.823992507918612782109 /* 0x0.d2f12c49a8d290005 */,
+0.825108786960634610365 /* 0x0.d33a5457a35e40003 */,
+0.826226578247117093869 /* 0x0.d38395c4a84848007 */,
+0.827345883828319528258 /* 0x0.d3ccf09985d958004 */,
+0.828466705754248966560 /* 0x0.d41664df0a1320005 */,
+0.829589046080638992111 /* 0x0.d45ff29e094330000 */,
+0.830712906863802391671 /* 0x0.d4a999df585a20005 */,
+0.831838290163696481037 /* 0x0.d4f35aabd04a60006 */,
+0.832965198041969556729 /* 0x0.d53d350c4be258002 */,
+0.834093632565442222342 /* 0x0.d5872909aba050007 */,
+0.835223595802037643865 /* 0x0.d5d136acd138e8006 */,
+0.836355089820669306292 /* 0x0.d61b5dfe9f7780004 */,
+0.837488116698010487424 /* 0x0.d6659f0801afa8005 */,
+0.838622678508982644113 /* 0x0.d6aff9d1e147d8004 */,
+0.839758777333464490056 /* 0x0.d6fa6e652d19e0000 */,
+0.840896415254110962690 /* 0x0.d744fccad70d00003 */,
+0.842035594355151628676 /* 0x0.d78fa50bd2c3b0000 */,
+0.843176316724478125433 /* 0x0.d7da673117e730007 */,
+0.844318584453106590905 /* 0x0.d8254343a19038003 */,
+0.845462399634695271912 /* 0x0.d870394c6dbf30003 */,
+0.846607764365415071965 /* 0x0.d8bb49547d37c0004 */,
+0.847754680744707056494 /* 0x0.d9067364d45608003 */,
+0.848903150873708822763 /* 0x0.d951b7867953b0006 */,
+0.850053176859071113491 /* 0x0.d99d15c2787a30006 */,
+0.851204760807439786431 /* 0x0.d9e88e21de11a0003 */,
+0.852357904828824897169 /* 0x0.da3420adba1508003 */,
+0.853512611037803181642 /* 0x0.da7fcd6f2184d8005 */,
+0.854668881550406100980 /* 0x0.dacb946f2afaf8000 */,
+0.855826718478671755185 /* 0x0.db1775b6e8ad48000 */,
+0.856986123964844970247 /* 0x0.db63714f8e0818006 */,
+0.858147100114499461478 /* 0x0.dbaf87422625b8000 */,
+0.859309649060962410524 /* 0x0.dbfbb797daa460002 */,
+0.860473772936213743282 /* 0x0.dc480259d3a710001 */,
+0.861639473872910177676 /* 0x0.dc9467913a0f48006 */,
+0.862806754008130227807 /* 0x0.dce0e7473b9b28003 */,
+0.863975615481124226159 /* 0x0.dd2d8185086c20006 */,
+0.865146060433749419813 /* 0x0.dd7a3653d38168005 */,
+0.866318091005120138881 /* 0x0.ddc705bcccd628000 */,
+0.867491709362415264210 /* 0x0.de13efc9434100004 */,
+0.868666917636779056818 /* 0x0.de60f4825df9b8005 */,
+0.869843717989716047624 /* 0x0.deae13f16599c0003 */,
+0.871022112578215268471 /* 0x0.defb4e1f9dc388002 */,
+0.872202103559697183859 /* 0x0.df48a3164a92f0001 */,
+0.873383693097737778847 /* 0x0.df9612deb6e878007 */,
+0.874566883362160263365 /* 0x0.dfe39d82348310001 */,
+0.875751676517234511901 /* 0x0.e031430a0f0688000 */,
+0.876938074732511840819 /* 0x0.e07f037f97e548001 */,
+0.878126080186539592654 /* 0x0.e0ccdeec2a75e0006 */,
+0.879315695055312818168 /* 0x0.e11ad5591f4078001 */,
+0.880506921518618312932 /* 0x0.e168e6cfd2f880004 */,
+0.881699761760385225541 /* 0x0.e1b71359a6df60003 */,
+0.882894217964411143207 /* 0x0.e2055afffc1178000 */,
+0.884090292325693805080 /* 0x0.e253bdcc3ffbb8001 */,
+0.885287987031581180559 /* 0x0.e2a23bc7d7a1d8002 */,
+0.886487304278189114386 /* 0x0.e2f0d4fc31ab80004 */,
+0.887688246263368285778 /* 0x0.e33f8972bea8a8005 */,
+0.888890815189881999840 /* 0x0.e38e5934f49010007 */,
+0.890095013257492739835 /* 0x0.e3dd444c460bd0007 */,
+0.891300842677948068626 /* 0x0.e42c4ac232f380000 */,
+0.892508305659222567226 /* 0x0.e47b6ca036f8b8005 */,
+0.893717404414979710310 /* 0x0.e4caa9efd40e58002 */,
+0.894928141160697743242 /* 0x0.e51a02ba8e2610007 */,
+0.896140518115016826430 /* 0x0.e5697709ecab90000 */,
+0.897354537501434679237 /* 0x0.e5b906e77c61d0006 */,
+0.898570201543732793877 /* 0x0.e608b25cca5ba8005 */,
+0.899787512470129891014 /* 0x0.e6587973688ce8002 */,
+0.901006472512270728537 /* 0x0.e6a85c34ecadb8000 */,
+0.902227083902570559127 /* 0x0.e6f85aaaed4f20006 */,
+0.903449348881299796343 /* 0x0.e74874df09a530003 */,
+0.904673269686823378091 /* 0x0.e798aadadecba0007 */,
+0.905898848559668845585 /* 0x0.e7e8fca80c3ee0001 */,
+0.907126087750156795426 /* 0x0.e8396a503c3fe0005 */,
+0.908354989505901100354 /* 0x0.e889f3dd1615b0002 */,
+0.909585556079328783087 /* 0x0.e8da9958465228007 */,
+0.910817789726044213523 /* 0x0.e92b5acb7d0578001 */,
+0.912051692703457872481 /* 0x0.e97c38406c3c30003 */,
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+0.914524515702244578108 /* 0x0.ea1e475654d540000 */,
+0.915763440256158633982 /* 0x0.ea6f790ac5cc78001 */,
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+0.918246326823137892807 /* 0x0.eb1230f760a428007 */,
+0.919490293387826285200 /* 0x0.eb63b7431714a8007 */,
+0.920735945178816406225 /* 0x0.ebb559d4cb6f30007 */,
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+0.923232313574974705626 /* 0x0.ec58f3f16a3910002 */,
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+0.929502886213858126045 /* 0x0.edf3e6b1d37d40001 */,
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+0.943448468787511540534 /* 0x0.f185d6bee754e0006 */,
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+0.989228013193998778636 /* 0x0.fd3e0c0cf48d50005 */,
+0.990568140061241164686 /* 0x0.fd95dfa605c7b0003 */,
+0.991910082424819927754 /* 0x0.fdedd1b4965710004 */,
+0.993253842749249660216 /* 0x0.fe45e2433bfea0000 */,
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+1.000000000000000000000 /* 0x1.00000000000000000 */,
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+1.015003269791313389451 /* 0x1.03d741191635a0001 */,
+1.016378314911229763267 /* 0x1.04315e86e84630008 */,
+1.017755222831652872635 /* 0x1.048b9b35652800002 */,
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+1.102382583308144647940 /* 0x1.1a35beb6fd0cd0007 */,
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+1.289835873406902644341 /* 0x1.4a32af0d7d8090002 */,
+1.291583239722392528754 /* 0x1.4aa532feab5e10002 */,
+1.293332973229098792374 /* 0x1.4b17dea6db8010008 */,
+1.295085077135345708087 /* 0x1.4b8ab213d57d9000d */,
+1.296839554650994097442 /* 0x1.4bfdad53629e10003 */,
+1.298596408992440220988 /* 0x1.4c70d0735358a000d */,
+1.300355643380135983739 /* 0x1.4ce41b817c99e0001 */,
+1.302117261036232376282 /* 0x1.4d578e8bb52cb0003 */,
+1.303881265192249561154 /* 0x1.4dcb299fde2920008 */,
+1.305647659079073541490 /* 0x1.4e3eeccbd7f4c0003 */,
+1.307416445934474813521 /* 0x1.4eb2d81d8a86f000b */,
+1.309187629001237640529 /* 0x1.4f26eba2e35a5000e */,
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+1.312737196755087820678 /* 0x1.500f8b804e4a30000 */,
+1.314515587949291131086 /* 0x1.508417f4530d00009 */,
+1.316296388365203462468 /* 0x1.50f8ccd3df1840003 */,
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+1.319865229921343141607 /* 0x1.51e2b00da3c2b0007 */,
+1.321653277603506371251 /* 0x1.5257de83f5512000d */,
+1.323443747588034513690 /* 0x1.52cd359dfc7d5000e */,
+1.325236643161341820781 /* 0x1.5342b569d6baa000f */,
+1.327031967602244177939 /* 0x1.53b85df59921b0000 */,
+1.328829724206201046165 /* 0x1.542e2f4f6b17e0006 */,
+1.330629916266568235675 /* 0x1.54a4298571b27000e */,
+1.332432547083447937938 /* 0x1.551a4ca5d97190009 */,
+1.334237619959296017340 /* 0x1.559098bed16bf0008 */,
+1.336045138203900251029 /* 0x1.56070dde90c800000 */,
+1.337855105129210686631 /* 0x1.567dac13510cd0009 */,
+1.339667524053662184301 /* 0x1.56f4736b52e2c000c */,
+1.341482398296830025383 /* 0x1.576b63f4d8333000f */,
+1.343299731186792467254 /* 0x1.57e27dbe2c40e0003 */,
+1.345119526053918823702 /* 0x1.5859c0d59cd37000f */,
+1.346941786233264881662 /* 0x1.58d12d497cd9a0005 */,
+1.348766515064854010261 /* 0x1.5948c32824b87000c */,
+1.350593715891792223641 /* 0x1.59c0827ff03890007 */,
+1.352423392064920459908 /* 0x1.5a386b5f43a3e0006 */,
+1.354255546937278120764 /* 0x1.5ab07dd485af1000c */,
+1.356090183865519494030 /* 0x1.5b28b9ee21085000f */,
+1.357927306213322804534 /* 0x1.5ba11fba8816e000b */,
+1.359766917346459269620 /* 0x1.5c19af482f8f2000f */,
+1.361609020638567812980 /* 0x1.5c9268a594cc00004 */,
+1.363453619463660171403 /* 0x1.5d0b4be135916000c */,
+1.365300717204201985683 /* 0x1.5d84590998eeb0005 */,
+1.367150317245710233754 /* 0x1.5dfd902d494e40001 */,
+1.369002422974674892971 /* 0x1.5e76f15ad22c40008 */,
+1.370857037789471544224 /* 0x1.5ef07ca0cc166000b */,
+1.372714165088220639199 /* 0x1.5f6a320dcf5280006 */,
+1.374573808273481745378 /* 0x1.5fe411b0790800009 */,
+1.376435970755022220096 /* 0x1.605e1b976e4b1000e */,
+1.378300655944092456600 /* 0x1.60d84fd155d15000e */,
+1.380167867259843417228 /* 0x1.6152ae6cdf0030003 */,
+1.382037608124419003675 /* 0x1.61cd3778bc879000d */,
+1.383909881963391264069 /* 0x1.6247eb03a4dc40009 */,
+1.385784692209972801544 /* 0x1.62c2c91c56d9b0002 */,
+1.387662042298923203992 /* 0x1.633dd1d1930ec0001 */,
+1.389541935670444372533 /* 0x1.63b90532200630004 */,
+1.391424375772021271329 /* 0x1.6434634ccc4cc0007 */,
+1.393309366052102982208 /* 0x1.64afec30677e90008 */,
+1.395196909966106124701 /* 0x1.652b9febc8e0f000d */,
+1.397087010973788290271 /* 0x1.65a77e8dcc7f10004 */,
+1.398979672539331309267 /* 0x1.66238825534170000 */,
+1.400874898129892187656 /* 0x1.669fbcc1415600008 */,
+1.402772691220124823310 /* 0x1.671c1c708328e000a */,
+1.404673055288671035301 /* 0x1.6798a7420988b000d */,
+1.406575993818903302975 /* 0x1.68155d44ca77a000f */,
+1.408481510297352468121 /* 0x1.68923e87bf70e000a */,
+1.410389608216942924956 /* 0x1.690f4b19e8f74000c */,
+1.412300291075172076232 /* 0x1.698c830a4c94c0008 */
+};
+#define S (1.0/4503599627370496.0)  /* 2^-52 */
+static const float exp2_deltatable[512] = {
+ 11527*S,  -963*S,   884*S,  -781*S, -2363*S, -3441*S,   123*S,   526*S,
+    -6*S,  1254*S, -1138*S,  1519*S,  1576*S,   -65*S,  1040*S,   793*S,
+ -1662*S, -5063*S,  -387*S,   968*S,  -941*S,   984*S, -2856*S,  -545*S,
+   495*S, -5246*S, -2109*S,  1281*S,  2075*S,   909*S, -1642*S,-78233*S,
+-31653*S,  -265*S,   130*S,   430*S,  2482*S,  -742*S,  1616*S, -2213*S,
+  -519*S,    20*S, -3134*S,-13981*S,  1343*S, -1740*S,   247*S,  1679*S,
+ -1097*S,  3131*S,   871*S, -1480*S,  1936*S, -1827*S, 17325*S,   528*S,
+  -322*S,  1404*S,  -152*S, -1845*S,  -212*S,  2639*S,  -476*S,  2960*S,
+  -962*S, -1012*S, -1231*S,  3030*S,  1659*S,  -486*S,  2154*S,  1728*S,
+ -2793*S,   699*S, -1560*S, -2125*S,  2156*S,   142*S, -1888*S,  4426*S,
+-13443*S,  1970*S,   -50*S,  1771*S,-43399*S,  4979*S, -2448*S,  -370*S,
+  1414*S,  1075*S,   232*S,   206*S,   873*S,  2141*S,  2970*S,  1279*S,
+ -2331*S,   336*S, -2595*S,   753*S, -3384*S,  -616*S,    89*S,  -818*S,
+  5755*S,  -241*S,  -528*S,  -661*S, -3777*S,  -354*S,   250*S,  3881*S,
+  2632*S, -2131*S,  2565*S,  -316*S,  1746*S, -2541*S, -1324*S,   -50*S,
+  2564*S,  -782*S,  1176*S,  6452*S, -1002*S,  1288*S,   336*S,  -185*S,
+  3063*S,  3784*S,  2169*S,   686*S,   328*S,  -400*S,   312*S, -4517*S,
+ -1457*S,  1046*S, -1530*S,  -685*S,  1328*S,-49815*S,  -895*S,  1063*S,
+ -2091*S,  -672*S, -1710*S,  -665*S,  1545*S,  1819*S,-45265*S,  3548*S,
+  -554*S,  -568*S,  4752*S, -1907*S,-13738*S,   675*S,  9611*S, -1115*S,
+  -815*S,   408*S, -1281*S,  -937*S,-16376*S, -4772*S, -1440*S,   992*S,
+   788*S, 10364*S, -1602*S,  -661*S, -1783*S,  -265*S,   -20*S, -3781*S,
+  -861*S,  -345*S,  -994*S,  1364*S, -5339*S,  1620*S,  9390*S, -1066*S,
+  -305*S,  -170*S,   175*S,  2461*S,  -490*S,  -769*S, -1450*S,  3315*S,
+  2418*S,   -45*S,  -852*S, -1295*S,  -488*S,   -96*S,  1142*S, -2639*S,
+  7905*S, -9306*S, -3859*S,   760*S,  1057*S, -1570*S,  3977*S,   209*S,
+  -514*S,  7151*S,  1646*S,   627*S,   599*S,  -774*S, -1468*S,   633*S,
+  -473*S,   851*S,  2406*S,   143*S,    74*S,  4260*S,  1177*S,  -913*S,
+  2670*S, -3298*S, -1662*S,  -120*S, -3264*S, -2148*S,   410*S,  2078*S,
+ -2098*S,  -926*S,  3580*S, -1289*S,  2450*S, -1158*S,   907*S,  -590*S,
+   986*S,  1801*S,  1145*S, -1677*S,  3455*S,   956*S,   710*S,   144*S,
+   153*S,  -255*S, -1898*S, 28102*S,  2748*S,  1194*S, -3009*S,  7076*S,
+     0*S, -2720*S,   711*S,  1225*S, -3034*S,  -473*S,   378*S, -1046*S,
+   962*S, -2006*S,  4647*S,  3206*S,  1769*S, -2665*S,  1254*S,  2025*S,
+ -2430*S,  6193*S,  1224*S,  -856*S, -1592*S,  -325*S, -1521*S,  1827*S,
+  -264*S,  2403*S, -1065*S,   967*S,  -681*S, -2106*S,  -474*S,  1333*S,
+  -893*S,  2296*S,   592*S, -1220*S,  -326*S,   990*S,   139*S,   206*S,
+  -779*S, -1683*S,  1238*S,  6098*S,   136*S,  1197*S,   790*S,  -107*S,
+ -1004*S, -2449*S,   939*S,  5568*S,   156*S,  1812*S,  2792*S, -1094*S,
+ -2677*S,  -251*S,  2297*S,   943*S, -1329*S,  2883*S,  -853*S, -2626*S,
+-105929*S, -6552*S,  1095*S, -1508*S,  1003*S,  5039*S, -2600*S,  -749*S,
+  1790*S,   890*S,  2016*S, -1073*S,   624*S, -2084*S, -1536*S, -1330*S,
+   358*S,  2444*S,  -179*S,-25759*S,  -243*S,  -552*S,  -124*S,  3766*S,
+  1192*S, -1614*S,     6*S, -1227*S,   345*S,  -981*S,  -295*S, -1006*S,
+  -995*S, -1195*S,   706*S,  2512*S, -1758*S,  -734*S, -6286*S,  -922*S,
+  1530*S,  1542*S,  1223*S,    61*S,   -83*S,   522*S,116937*S,  -914*S,
+  -418*S, -7339*S,   249*S,  -520*S,  -762*S,   426*S,  -505*S,  2664*S,
+ -1093*S, -1035*S,  2130*S,  4878*S,  1982*S,  1551*S,  2304*S,   193*S,
+  1532*S, -7268*S, 24357*S,   531*S,  2676*S, -1170*S,  1465*S, -1917*S,
+  2143*S,  1466*S,    -7*S, -7300*S,  3297*S, -1197*S,  -289*S, -1548*S,
+ 26226*S,  4401*S,  4123*S, -1588*S,  4243*S,  4069*S, -1276*S, -2010*S,
+  1407*S,  1478*S,   488*S, -2366*S, -2909*S, -2534*S, -1285*S,  7095*S,
+  -645*S, -2089*S,  -944*S,   -40*S, -1363*S,  -833*S,   917*S,  1609*S,
+  1286*S,  1677*S,  1613*S, -2295*S, -1248*S,    40*S,    26*S,  2038*S,
+   698*S,  2675*S, -1755*S, -3522*S, -1614*S, -6111*S,   270*S,  1822*S,
+  -234*S, -2844*S, -1201*S,  -830*S,  1193*S,  2354*S,    47*S,  1522*S,
+   -78*S,  -640*S,  2425*S, -1596*S,  1563*S,  1169*S, -1006*S,   -83*S,
+  2362*S, -3521*S,  -314*S,  1814*S, -1751*S,   305*S,  1715*S, -3741*S,
+  7847*S,  1291*S,  1206*S,    36*S,  1397*S, -1419*S, -1194*S, -2014*S,
+  1742*S,  -578*S,  -207*S,   875*S,  1539*S,  2826*S, -1165*S,  -909*S,
+  1849*S,   927*S,  2018*S,  -981*S,  1637*S,  -463*S,   905*S,  6618*S,
+   400*S,   630*S,  2614*S,   900*S,  2323*S, -1094*S, -1858*S,  -212*S,
+ -2069*S,   747*S,  1845*S, -1450*S,   444*S,  -213*S,  -438*S,  1158*S,
+  4738*S,  2497*S,  -370*S, -2016*S,  -518*S, -1160*S, -1510*S,   123*S
+};
+/* Maximum magnitude in above table: 116937 */
+#undef S