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pFq: Add tests.

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jzmaddock
2019-07-17 18:24:07 +01:00
parent 2d3e87c724
commit 5376702cc7
11 changed files with 1761 additions and 153 deletions
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7
test/Jamfile.v2
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@@ -121,6 +121,13 @@ test-suite special_fun :
[ run test_1F1_log.cpp ../../test/build//boost_unit_test_framework : : : release [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=5 <toolset>clang:<cxxflags>-Wno-literal_range : test_1F1_log_real_concept ]
[ run test_1F1_log.cpp ../../test/build//boost_unit_test_framework : : : release [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=6 release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] <toolset>clang:<cxxflags>-Wno-literal_range : test_1F1_log_quad ]
[ run test_1F1_log.cpp ../../test/build//boost_unit_test_framework : : : release [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=7 release <toolset>clang:<cxxflags>-Wno-literal_range : test_1F1_log_dec_40 ]
# pFq:
[ run test_1F1.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=2 release <toolset>clang:<cxxflags>-Wno-literal_range : test_1F1_float ]
[ run test_pFq.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=3 release <toolset>clang:<cxxflags>-Wno-literal_range : test_pFq_double ]
[ run test_pFq.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=4 release <toolset>clang:<cxxflags>-Wno-literal_range : test_pFq_long_double ]
[ run test_pFq.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=5 release <toolset>clang:<cxxflags>-Wno-literal_range : test_pFq_real_concept ]
[ run test_pFq.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=6 release [ check-target-builds ../config//has_float128 "GCC libquadmath and __float128 support" : <define>BOOST_MATH_TEST_FLOAT128 <linkflags>"-Bstatic -lquadmath -Bdynamic" ] <toolset>clang:<cxxflags>-Wno-literal_range : test_pFq_quad ]
[ run test_pFq.cpp ../../test/build//boost_unit_test_framework : : : [ requires cxx11_auto_declarations cxx11_lambdas cxx11_unified_initialization_syntax cxx11_smart_ptr ] <define>TEST=7 release <toolset>clang:<cxxflags>-Wno-literal_range : test_pFq_dec_40 ]
[ run hypot_test.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ]

262
test/hypergeometric_0f2.ipp Normal file
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@@ -0,0 +1,262 @@
#ifndef SC_
# define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
#endif
static const boost::array<boost::array<T, 4>, 255> hypergeometric_0F2 = {{
{ SC_(-4.8646093750000000000000000000000000000000e+02), SC_(4.2926367187500000000000000000000000000000e+02), SC_(-2.8276220703125000000000000000000000000000e+02), SC_(1.0013550123274012503281643629835481621491e+00) },
{ SC_(-4.6555395507812500000000000000000000000000e+02), SC_(1.6360552978515625000000000000000000000000e+02), SC_(-6.1255645751953125000000000000000000000000e+01), SC_(1.0008045482288008613878905914537628888437e+00) },
{ SC_(-4.6428833007812500000000000000000000000000e+02), SC_(-1.3870599365234375000000000000000000000000e+02), SC_(3.4912927246093750000000000000000000000000e+02), SC_(1.0054361590960244514317052562813343972063e+00) },
{ SC_(-4.6355883789062500000000000000000000000000e+02), SC_(-3.1312744140625000000000000000000000000000e+02), SC_(-9.1268829345703125000000000000000000000000e+01), SC_(9.9937142193458336300712662386851304924744e-01) },
{ SC_(-4.5382861328125000000000000000000000000000e+02), SC_(-3.5088610839843750000000000000000000000000e+02), SC_(-4.0286828613281250000000000000000000000000e+02), SC_(9.9747330394796032410538209647331764537338e-01) },
{ SC_(-3.8753552246093750000000000000000000000000e+02), SC_(4.1573547363281250000000000000000000000000e+02), SC_(1.3976336669921875000000000000000000000000e+02), SC_(9.9913288567800670560465376832731165310591e-01) },
{ SC_(-3.8100231933593750000000000000000000000000e+02), SC_(-4.3967193603515625000000000000000000000000e+01), SC_(-1.6359252929687500000000000000000000000000e+00), SC_(9.9990234705498153808404610903859529590335e-01) },
{ SC_(-3.7410339355468750000000000000000000000000e+02), SC_(-1.1844155883789062500000000000000000000000e+02), SC_(-2.8979101562500000000000000000000000000000e+02), SC_(9.9348140693863510115749506422371573420155e-01) },
{ SC_(-3.5811364746093750000000000000000000000000e+02), SC_(-4.9521655273437500000000000000000000000000e+02), SC_(-7.8238739013671875000000000000000000000000e+01), SC_(9.9955892792802478635575395801641016109872e-01) },
{ SC_(-3.2613488769531250000000000000000000000000e+02), SC_(-3.2881335449218750000000000000000000000000e+02), SC_(-1.9808691406250000000000000000000000000000e+02), SC_(9.9815453602218599515426271662441282707593e-01) },
{ SC_(-2.8807568359375000000000000000000000000000e+02), SC_(4.3399316406250000000000000000000000000000e+02), SC_(1.8135955810546875000000000000000000000000e+02), SC_(9.9855044188853804894946990947110500188253e-01) },
{ SC_(-2.4249176025390625000000000000000000000000e+02), SC_(3.0973449707031250000000000000000000000000e+02), SC_(3.4071728515625000000000000000000000000000e+02), SC_(9.9547392211818475702670044866243182131780e-01) },
{ SC_(-2.2150177001953125000000000000000000000000e+02), SC_(-3.1161804199218750000000000000000000000000e+02), SC_(4.6881469726562500000000000000000000000000e+01), SC_(1.0006794383636374608834847128496473193998e+00) },
{ SC_(-1.9183294677734375000000000000000000000000e+02), SC_(-4.0245959472656250000000000000000000000000e+02), SC_(4.7220581054687500000000000000000000000000e+01), SC_(1.0006118143959052029406077900452398537572e+00) },
{ SC_(-1.8344958496093750000000000000000000000000e+02), SC_(-2.2307702636718750000000000000000000000000e+02), SC_(3.7242883300781250000000000000000000000000e+02), SC_(1.0091425903971098776250072125842027790700e+00) },
{ SC_(-1.5961425781250000000000000000000000000000e+02), SC_(3.7675744628906250000000000000000000000000e+02), SC_(8.5267700195312500000000000000000000000000e+01), SC_(9.9858309073053077899790756504828564947261e-01) },
{ SC_(-1.5001623535156250000000000000000000000000e+02), SC_(4.0736474609375000000000000000000000000000e+02), SC_(-3.0340478515625000000000000000000000000000e+02), SC_(1.0049771857160769715415635506383574939497e+00) },
{ SC_(-1.0777297973632812500000000000000000000000e+02), SC_(-7.7912322998046875000000000000000000000000e+01), SC_(1.5547790527343750000000000000000000000000e+02), SC_(1.0186926506384631817121334358716076224150e+00) },
{ SC_(-7.6834899902343750000000000000000000000000e+01), SC_(4.5929138183593750000000000000000000000000e+02), SC_(8.0956726074218750000000000000000000000000e+01), SC_(9.9770859113172567045095290396207748713121e-01) },
{ SC_(-1.9458435058593750000000000000000000000000e+01), SC_(1.7170547485351562500000000000000000000000e+01), SC_(-5.6552429199218750000000000000000000000000e+01), SC_(1.1843708637562542794889169551315847867164e+00) },
{ SC_(-1.8622161865234375000000000000000000000000e+01), SC_(6.5442199707031250000000000000000000000000e+00), SC_(-1.2251129150390625000000000000000000000000e+01), SC_(1.1052961337782846547617500779699305041287e+00) },
{ SC_(-1.8571533203125000000000000000000000000000e+01), SC_(-5.5482406616210937500000000000000000000000e+00), SC_(6.9825866699218750000000000000000000000000e+01), SC_(2.1709699265294645468109432587150419519616e+00) },
{ SC_(-1.8542350769042968750000000000000000000000e+01), SC_(-1.2525096893310546875000000000000000000000e+01), SC_(-1.8253768920898437500000000000000000000000e+01), SC_(9.2483070051031126644961165795654718381906e-01) },
{ SC_(-1.8153144836425781250000000000000000000000e+01), SC_(-1.4035442352294921875000000000000000000000e+01), SC_(-8.0573669433593750000000000000000000000000e+01), SC_(7.3371925642946384664229703773889948055531e-01) },
{ SC_(-1.5501419067382812500000000000000000000000e+01), SC_(1.6629417419433593750000000000000000000000e+01), SC_(2.7952667236328125000000000000000000000000e+01), SC_(8.9727834112725954814592158721591001531270e-01) },
{ SC_(-1.5240093231201171875000000000000000000000e+01), SC_(-1.7586879730224609375000000000000000000000e+00), SC_(-3.2718658447265625000000000000000000000000e-01), SC_(9.8798390454175472844979515494836456136983e-01) },
{ SC_(-1.4964134216308593750000000000000000000000e+01), SC_(-4.7376632690429687500000000000000000000000e+00), SC_(-5.7958190917968750000000000000000000000000e+01), SC_(-1.6307154809189961783800358984496085912050e+00) },
{ SC_(-1.4324546813964843750000000000000000000000e+01), SC_(-1.9808662414550781250000000000000000000000e+01), SC_(-1.5647743225097656250000000000000000000000e+01), SC_(9.4653528197910165241384386830302720544485e-01) },
{ SC_(-1.3045394897460937500000000000000000000000e+01), SC_(-1.3152534484863281250000000000000000000000e+01), SC_(-3.9617385864257812500000000000000000000000e+01), SC_(7.9729506879938767419504797215381191262438e-01) },
{ SC_(-1.2431091308593750000000000000000000000000e+01), SC_(1.4631298828125000000000000000000000000000e+02), SC_(2.9397497558593750000000000000000000000000e+02), SC_(8.5163048830387097953496533791624327293711e-01) },
{ SC_(-1.1523029327392578125000000000000000000000e+01), SC_(1.7359725952148437500000000000000000000000e+01), SC_(3.6271911621093750000000000000000000000000e+01), SC_(8.3463455244679145149454273225637625080044e-01) },
{ SC_(-1.0235595703125000000000000000000000000000e+01), SC_(-4.2010833740234375000000000000000000000000e+01), SC_(-5.4413787841796875000000000000000000000000e+01), SC_(8.8207047103340533881092961234370287124678e-01) },
{ SC_(-9.6996726989746093750000000000000000000000e+00), SC_(1.2389381408691406250000000000000000000000e+01), SC_(6.8143432617187500000000000000000000000000e+01), SC_(5.6971226882974825102327326343955088655941e-01) },
{ SC_(-8.8600730895996093750000000000000000000000e+00), SC_(-1.2464721679687500000000000000000000000000e+01), SC_(9.3762969970703125000000000000000000000000e+00), SC_(1.0895185083879982269540444508574348779709e+00) },
{ SC_(-7.6733188629150390625000000000000000000000e+00), SC_(-1.6098388671875000000000000000000000000000e+01), SC_(9.4441146850585937500000000000000000000000e+00), SC_(1.0801829563303742714796062386840372944152e+00) },
{ SC_(-7.3379821777343750000000000000000000000000e+00), SC_(-8.9230842590332031250000000000000000000000e+00), SC_(7.4485748291015625000000000000000000000000e+01), SC_(-9.7375683797737559231310591870347355470131e+04) },
{ SC_(-6.3845710754394531250000000000000000000000e+00), SC_(1.5070297241210937500000000000000000000000e+01), SC_(1.7053543090820312500000000000000000000000e+01), SC_(8.3898488099816853847904405648254326769818e-01) },
{ SC_(-6.0006504058837890625000000000000000000000e+00), SC_(1.6294586181640625000000000000000000000000e+01), SC_(-6.0680953979492187500000000000000000000000e+01), SC_(2.8785236681083962893832262874724843440580e+00) },
{ SC_(-4.3109188079833984375000000000000000000000e+00), SC_(-3.1164932250976562500000000000000000000000e+00), SC_(3.1095581054687500000000000000000000000000e+01), SC_(-2.4338784712090861161103813511742621752907e+05) },
{ SC_(-3.0733947753906250000000000000000000000000e+00), SC_(1.8371650695800781250000000000000000000000e+01), SC_(1.6191337585449218750000000000000000000000e+01), SC_(7.9969594372684567479200044534448737112353e-01) },
{ SC_(-9.7292184829711914062500000000000000000000e-01), SC_(8.5852718353271484375000000000000000000000e-01), SC_(-5.6552429199218750000000000000000000000000e+01), SC_(-3.8479643557626853493282070912407630508011e+03) },
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{ SC_(-9.2857670783996582031250000000000000000000e-01), SC_(-2.7741205692291259765625000000000000000000e-01), SC_(6.9825866699218750000000000000000000000000e+01), SC_(2.5957327900372311760684559064565560425989e+07) },
{ SC_(-9.2711758613586425781250000000000000000000e-01), SC_(-6.2625479698181152343750000000000000000000e-01), SC_(-1.8253768920898437500000000000000000000000e+01), SC_(-4.6481448511821567942224413485705877737751e+03) },
{ SC_(-9.0765738487243652343750000000000000000000e-01), SC_(-7.0177221298217773437500000000000000000000e-01), SC_(-8.0573669433593750000000000000000000000000e+01), SC_(-2.9128274990676818556608864647623770251180e+03) },
{ SC_(-7.7507114410400390625000000000000000000000e-01), SC_(8.3147096633911132812500000000000000000000e-01), SC_(2.7952667236328125000000000000000000000000e+01), SC_(-1.0117101938884752665856634793174177451829e+04) },
{ SC_(-7.6200461387634277343750000000000000000000e-01), SC_(-8.7934374809265136718750000000000000000000e-02), SC_(-3.2718658447265625000000000000000000000000e-01), SC_(-3.7033113793470643167656496040611055767304e-01) },
{ SC_(-7.4820685386657714843750000000000000000000e-01), SC_(-2.3688310384750366210937500000000000000000e-01), SC_(-5.7958190917968750000000000000000000000000e+01), SC_(1.9319431967800207473506144425283470401615e+04) },
{ SC_(-7.1622729301452636718750000000000000000000e-01), SC_(-9.9043321609497070312500000000000000000000e-01), SC_(-1.5647743225097656250000000000000000000000e+01), SC_(-3.3628263866410287728387295371785295757993e+04) },
{ SC_(-6.5226984024047851562500000000000000000000e-01), SC_(-6.5762662887573242187500000000000000000000e-01), SC_(-3.9617385864257812500000000000000000000000e+01), SC_(3.3169191367622573936844112940010935451687e+03) },
{ SC_(-5.7615137100219726562500000000000000000000e-01), SC_(8.6798644065856933593750000000000000000000e-01), SC_(3.6271911621093750000000000000000000000000e+01), SC_(-1.4036374022754311606447155203103898229226e+04) },
{ SC_(-4.9724388122558593750000000000000000000000e-01), SC_(5.8525199890136718750000000000000000000000e+00), SC_(5.8794998168945312500000000000000000000000e+01), SC_(-7.4740521421705398588809627080752902584409e+02) },
{ SC_(-4.8498356342315673828125000000000000000000e-01), SC_(6.1946892738342285156250000000000000000000e-01), SC_(6.8143432617187500000000000000000000000000e+01), SC_(-2.9423363385064323397108774744926829548419e+05) },
{ SC_(-4.4300353527069091796875000000000000000000e-01), SC_(-6.2323617935180664062500000000000000000000e-01), SC_(9.3762969970703125000000000000000000000000e+00), SC_(2.3984966130592016791972025137424348979093e+03) },
{ SC_(-4.0942382812500000000000000000000000000000e-01), SC_(-1.6804332733154296875000000000000000000000e+00), SC_(-1.0882759094238281250000000000000000000000e+01), SC_(3.6544312817005565101925778445295506072267e+02) },
{ SC_(-3.8366591930389404296875000000000000000000e-01), SC_(-8.0491924285888671875000000000000000000000e-01), SC_(9.4441146850585937500000000000000000000000e+00), SC_(4.1373931861772866189071974403747292693210e+03) },
{ SC_(-3.6689913272857666015625000000000000000000e-01), SC_(-4.4615411758422851562500000000000000000000e-01), SC_(7.4485748291015625000000000000000000000000e+01), SC_(4.6084954714223594122960231171187570977682e+06) },
{ SC_(-3.1922852993011474609375000000000000000000e-01), SC_(7.5351476669311523437500000000000000000000e-01), SC_(1.7053543090820312500000000000000000000000e+01), SC_(-1.5189960576357276764846511052193798221294e+03) },
{ SC_(-3.0003249645233154296875000000000000000000e-01), SC_(8.1472945213317871093750000000000000000000e-01), SC_(-6.0680953979492187500000000000000000000000e+01), SC_(1.1425397218870863052081420295537529676230e+02) },
{ SC_(-2.1554595232009887695312500000000000000000e-01), SC_(-1.5582466125488281250000000000000000000000e-01), SC_(3.1095581054687500000000000000000000000000e+01), SC_(1.9440499950444617144099384945685593834293e+05) },
{ SC_(-1.5366977453231811523437500000000000000000e-01), SC_(9.1858267784118652343750000000000000000000e-01), SC_(1.6191337585449218750000000000000000000000e+01), SC_(-1.5053688726396640756231727371601312898225e+03) },
{ SC_(-2.4862170219421386718750000000000000000000e-02), SC_(2.9262602329254150390625000000000000000000e-01), SC_(5.8794998168945312500000000000000000000000e+01), SC_(-3.4749896984152523485508001907364134791527e+06) },
{ SC_(-2.0471215248107910156250000000000000000000e-02), SC_(-8.4021687507629394531250000000000000000000e-02), SC_(-1.0882759094238281250000000000000000000000e+01), SC_(5.3461492782359630199105276366982841464942e+03) },
{ SC_(-9.7292195277987048029899597167968750000000e-07), SC_(8.5852730080659966915845870971679687500000e-07), SC_(-5.6552429199218750000000000000000000000000e+01), SC_(-1.9271103726166962938510569511179961586516e+13) },
{ SC_(-9.3110793386586010456085205078125000000000e-07), SC_(3.2721106890676310285925865173339843750000e-07), SC_(-1.2251129150390625000000000000000000000000e+01), SC_(-2.8126605131038490797267494038927727182371e+13) },
{ SC_(-9.2857681011082604527473449707031250000000e-07), SC_(-2.7741202757169958204030990600585937500000e-07), SC_(6.9825866699218750000000000000000000000000e+01), SC_(3.2268478919705029323884116452244203327000e+17) },
{ SC_(-9.2711752586183138191699981689453125000000e-07), SC_(-6.2625485952594317495822906494140625000000e-07), SC_(-1.8253768920898437500000000000000000000000e+01), SC_(-4.4392155307412519401105138508294446700414e+12) },
{ SC_(-9.0765729510167147964239120483398437500000e-07), SC_(-7.0177202360355295240879058837890625000000e-07), SC_(-8.0573669433593750000000000000000000000000e+01), SC_(7.6544067945091930530356731058579290758979e+14) },
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{ SC_(-7.6200467447051778435707092285156250000000e-07), SC_(-8.7934381554077845066785812377929687500000e-08), SC_(-3.2718658447265625000000000000000000000000e-01), SC_(-4.1056848804321189047544136704129419095110e+12) },
{ SC_(-7.4820673034992069005966186523437500000000e-07), SC_(-2.3688312467129435390233993530273437500000e-07), SC_(-5.7958190917968750000000000000000000000000e+01), SC_(2.0080747879640587194562579450431000362773e+14) },
{ SC_(-7.1622730501985643059015274047851562500000e-07), SC_(-9.9043336376780644059181213378906250000000e-07), SC_(-1.5647743225097656250000000000000000000000e+01), SC_(6.0416000724638822195707249315021459452952e+12) },
{ SC_(-6.5226981860178057104349136352539062500000e-07), SC_(-6.5762674239522311836481094360351562500000e-07), SC_(-3.9617385864257812500000000000000000000000e+01), SC_(-2.0199869670530172182787566553911441703018e+14) },
{ SC_(-5.7615147852629888802766799926757812500000e-07), SC_(8.6798627307871356606483459472656250000000e-07), SC_(3.6271911621093750000000000000000000000000e+01), SC_(-1.1695061128266791798094905778237240774796e+16) },
{ SC_(-4.8498350224690511822700500488281250000000e-07), SC_(6.1946889218233991414308547973632812500000e-07), SC_(6.8143432617187500000000000000000000000000e+01), SC_(-2.4820721181133432525728355038272265081430e+17) },
{ SC_(-4.4300361423665890470147132873535156250000e-07), SC_(-6.2323601923708338290452957153320312500000e-07), SC_(9.3762969970703125000000000000000000000000e+00), SC_(3.5401682639779261781455942285698959288172e+14) },
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{ SC_(9.2977688836981542408466339111328125000000e-07), SC_(9.3538983492180705070495605468750000000000e-07), SC_(-6.8477386474609375000000000000000000000000e+01), SC_(2.5885481468591170687471865020580975496796e+14) },
{ SC_(9.7704287327360361814498901367187500000000e-07), SC_(-4.9143568503495771437883377075195312500000e-07), SC_(-3.3510345458984375000000000000000000000000e+01), SC_(1.4983038668105218355926456266311675993770e+14) },
{ SC_(9.8576219897950068116188049316406250000000e-07), SC_(9.1501351562328636646270751953125000000000e-07), SC_(9.9292266845703125000000000000000000000000e+01), SC_(4.8539043264529098665728877052317148396833e+17) },
{ SC_(9.8813688964582979679107666015625000000000e-07), SC_(6.4691562329244334250688552856445312500000e-07), SC_(6.4380645751953125000000000000000000000000e+01), SC_(9.0869215240147819516390701919339941131575e+16) },
{ SC_(7.3254108428955078125000000000000000000000e-03), SC_(3.1148135662078857421875000000000000000000e-01), SC_(5.9585723876953125000000000000000000000000e+01), SC_(1.0732325580249125394816235123779984439423e+07) },
{ SC_(9.4431042671203613281250000000000000000000e-02), SC_(-6.8388485908508300781250000000000000000000e-01), SC_(-7.2275115966796875000000000000000000000000e+01), SC_(-3.5767026726015232268725324811055081156289e+04) },
{ SC_(1.4650726318359375000000000000000000000000e-01), SC_(6.2296276092529296875000000000000000000000e+00), SC_(5.9585723876953125000000000000000000000000e+01), SC_(7.4548794788284688384202240080966824132400e+02) },
{ SC_(3.5747027397155761718750000000000000000000e-01), SC_(-2.0252293348312377929687500000000000000000e-01), SC_(5.1548034667968750000000000000000000000000e+01), SC_(-2.6360191832189761910637564711884531996497e+05) },
{ SC_(3.5940539836883544921875000000000000000000e-01), SC_(-9.9436330795288085937500000000000000000000e-01), SC_(3.1019607543945312500000000000000000000000e+01), SC_(-2.3555825510831623578668403325748767745162e+06) },
{ SC_(3.8965725898742675781250000000000000000000e-01), SC_(-7.4963450431823730468750000000000000000000e-01), SC_(-3.6580108642578125000000000000000000000000e+01), SC_(9.4095106820256680053759282814230969182804e+02) },
{ SC_(3.9815342426300048828125000000000000000000e-01), SC_(-1.7466694116592407226562500000000000000000e-01), SC_(7.8180633544921875000000000000000000000000e+01), SC_(-1.4495278740793887117408400376473147341114e+06) },
{ SC_(4.1209220886230468750000000000000000000000e-01), SC_(5.9455966949462890625000000000000000000000e-01), SC_(-9.3633453369140625000000000000000000000000e+01), SC_(3.8037593637225235624362242798799015941285e+02) },
{ SC_(4.1872966289520263671875000000000000000000e-01), SC_(8.4174942970275878906250000000000000000000e-01), SC_(5.0937332153320312500000000000000000000000e+01), SC_(1.0524822363595218455338193121798336701814e+04) },
{ SC_(4.2140769958496093750000000000000000000000e-01), SC_(-6.7477655410766601562500000000000000000000e-01), SC_(2.8792190551757812500000000000000000000000e+01), SC_(-2.5332292227947991578987460961881686796240e+04) },
{ SC_(4.5167791843414306640625000000000000000000e-01), SC_(9.4118547439575195312500000000000000000000e-01), SC_(9.6221923828125000000000000000000000000000e+01), SC_(9.6425701194710076809511411717634396429222e+04) },
{ SC_(4.8129451274871826171875000000000000000000e-01), SC_(4.8626494407653808593750000000000000000000e-01), SC_(-5.0482635498046875000000000000000000000000e+00), SC_(-1.9184176615842473686353008549658185499983e+00) },
{ SC_(5.0253415107727050781250000000000000000000e-01), SC_(6.4249181747436523437500000000000000000000e-01), SC_(-4.8980987548828125000000000000000000000000e+01), SC_(-9.1087147053030720616061030453398319186680e+01) },
{ SC_(5.2346229553222656250000000000000000000000e-01), SC_(-7.0141196250915527343750000000000000000000e-01), SC_(-5.3968795776367187500000000000000000000000e+01), SC_(-3.7190647942495343098134976882248843486844e+02) },
{ SC_(5.2749991416931152343750000000000000000000e-01), SC_(9.0044403076171875000000000000000000000000e-01), SC_(-1.8821868896484375000000000000000000000000e+00), SC_(-1.7842406968122617752297487730334775870513e+00) },
{ SC_(5.3103351593017578125000000000000000000000e-01), SC_(-8.9756727218627929687500000000000000000000e-01), SC_(5.9039993286132812500000000000000000000000e+01), SC_(-9.4413147512704930671221016324294432606915e+05) },
{ SC_(5.4783415794372558593750000000000000000000e-01), SC_(9.1948795318603515625000000000000000000000e-01), SC_(1.4750930786132812500000000000000000000000e+01), SC_(1.6558770127256692929600817901508107573553e+02) },
{ SC_(5.8441448211669921875000000000000000000000e-01), SC_(7.5686120986938476562500000000000000000000e-01), SC_(9.1898468017578125000000000000000000000000e+01), SC_(7.8495075050235499185550720080959607725604e+04) },
{ SC_(5.9621167182922363281250000000000000000000e-01), SC_(6.0056090354919433593750000000000000000000e-01), SC_(-4.0594116210937500000000000000000000000000e+01), SC_(-4.2297050952177685895293009611123892213832e+01) },
{ SC_(6.1506199836730957031250000000000000000000e-01), SC_(-4.4794988632202148437500000000000000000000e-01), SC_(4.1154846191406250000000000000000000000000e+01), SC_(-3.6829548935439152740004748457488922937882e+04) },
{ SC_(6.1635088920593261718750000000000000000000e-01), SC_(-5.5237627029418945312500000000000000000000e-01), SC_(-9.6445220947265625000000000000000000000000e+01), SC_(-3.3156945866171191273529082128010008691427e+03) },
{ SC_(6.2856960296630859375000000000000000000000e-01), SC_(-4.0033662319183349609375000000000000000000e-01), SC_(-5.1295013427734375000000000000000000000000e+01), SC_(2.8042052921467594768362697024694032732561e+02) },
{ SC_(6.2944722175598144531250000000000000000000e-01), SC_(-7.2904610633850097656250000000000000000000e-01), SC_(8.1158386230468750000000000000000000000000e+01), SC_(-1.0952177495348192536017535516063218828883e+06) },
{ SC_(6.4168143272399902343750000000000000000000e-01), SC_(1.1914134025573730468750000000000000000000e-02), SC_(8.8014801025390625000000000000000000000000e+01), SC_(1.0871257655093711991818114057205447747014e+07) },
{ SC_(6.7001700401306152343750000000000000000000e-01), SC_(-7.4602651596069335937500000000000000000000e-01), SC_(9.3773559570312500000000000000000000000000e+01), SC_(-2.0956480343797977382629608350161628368610e+06) },
{ SC_(8.2675170898437500000000000000000000000000e-01), SC_(-5.5793190002441406250000000000000000000000e-01), SC_(2.6471855163574218750000000000000000000000e+01), SC_(-5.0213830279399564094429560819789297274966e+03) },
{ SC_(9.1433382034301757812500000000000000000000e-01), SC_(-7.8027653694152832031250000000000000000000e-01), SC_(-2.9248733520507812500000000000000000000000e+00), SC_(-5.5618604070682692983965481884458426651443e+00) },
{ SC_(9.2977690696716308593750000000000000000000e-01), SC_(9.3538975715637207031250000000000000000000e-01), SC_(-6.8477386474609375000000000000000000000000e+01), SC_(-2.6685726492964694297784993909029343954793e+01) },
{ SC_(9.7704315185546875000000000000000000000000e-01), SC_(-4.9143564701080322265625000000000000000000e-01), SC_(-3.3510345458984375000000000000000000000000e+01), SC_(1.3268447121545709222120371332705766296633e+02) },
{ SC_(9.8576259613037109375000000000000000000000e-01), SC_(9.1501355171203613281250000000000000000000e-01), SC_(9.9292266845703125000000000000000000000000e+01), SC_(2.7231258268650511333426677132547588530732e+04) },
{ SC_(9.8813700675964355468750000000000000000000e-01), SC_(6.4691567420959472656250000000000000000000e-01), SC_(6.4380645751953125000000000000000000000000e+01), SC_(9.0456754397281598411963323256112518612515e+03) },
{ SC_(1.8886203765869140625000000000000000000000e+00), SC_(-1.3677696228027343750000000000000000000000e+01), SC_(-7.2275115966796875000000000000000000000000e+01), SC_(8.6903972682645821806410358881963870370739e+00) },
{ SC_(3.6627197265625000000000000000000000000000e+00), SC_(1.5574066162109375000000000000000000000000e+02), SC_(2.9792858886718750000000000000000000000000e+02), SC_(1.6414502438194959834822284645504633148411e+00) },
{ SC_(7.1494064331054687500000000000000000000000e+00), SC_(-4.0504589080810546875000000000000000000000e+00), SC_(5.1548034667968750000000000000000000000000e+01), SC_(-7.3280634631632271448589862017055225258464e+01) },
{ SC_(7.1881084442138671875000000000000000000000e+00), SC_(-1.9887268066406250000000000000000000000000e+01), SC_(3.1019607543945312500000000000000000000000e+01), SC_(8.0345913979757904607429603815888014394198e-01) },
{ SC_(7.7931442260742187500000000000000000000000e+00), SC_(-1.4992691040039062500000000000000000000000e+01), SC_(-3.6580108642578125000000000000000000000000e+01), SC_(1.3644113146571847740838225701777178299868e+00) },
{ SC_(7.9630680084228515625000000000000000000000e+00), SC_(-3.4933395385742187500000000000000000000000e+00), SC_(7.8180633544921875000000000000000000000000e+01), SC_(1.8012831116260841379976264026525324670577e+02) },
{ SC_(8.2418441772460937500000000000000000000000e+00), SC_(1.1891193389892578125000000000000000000000e+01), SC_(-9.3633453369140625000000000000000000000000e+01), SC_(3.4816049089036381102019335507640564537380e-01) },
{ SC_(8.3745918273925781250000000000000000000000e+00), SC_(1.6834991455078125000000000000000000000000e+01), SC_(5.0937332153320312500000000000000000000000e+01), SC_(1.4213912868918489118047786080245840810509e+00) },
{ SC_(8.4281539916992187500000000000000000000000e+00), SC_(-1.3495532989501953125000000000000000000000e+01), SC_(2.8792190551757812500000000000000000000000e+01), SC_(7.7546271972967343163149299910212429379822e-01) },
{ SC_(9.0335578918457031250000000000000000000000e+00), SC_(1.8823707580566406250000000000000000000000e+01), SC_(9.6221923828125000000000000000000000000000e+01), SC_(1.7237093246196692630140245651027453488455e+00) },
{ SC_(9.6258888244628906250000000000000000000000e+00), SC_(9.7252998352050781250000000000000000000000e+00), SC_(-5.0482635498046875000000000000000000000000e+00), SC_(9.4725373575455031061975579092426467539937e-01) },
{ SC_(1.0050682067871093750000000000000000000000e+01), SC_(1.2849838256835937500000000000000000000000e+01), SC_(-4.8980987548828125000000000000000000000000e+01), SC_(6.7620736025439815644751726920552278877269e-01) },
{ SC_(1.0469245910644531250000000000000000000000e+01), SC_(-1.4028240203857421875000000000000000000000e+01), SC_(-5.3968795776367187500000000000000000000000e+01), SC_(1.4425735254143481929966058353243240077903e+00) },
{ SC_(1.0549999237060546875000000000000000000000e+01), SC_(1.8008880615234375000000000000000000000000e+01), SC_(-1.8821868896484375000000000000000000000000e+00), SC_(9.9013578130094518058218326274339300528969e-01) },
{ SC_(1.0620670318603515625000000000000000000000e+01), SC_(-1.7951347351074218750000000000000000000000e+01), SC_(5.9039993286132812500000000000000000000000e+01), SC_(7.3251185616667029708221384467470269912755e-01) },
{ SC_(1.0956684112548828125000000000000000000000e+01), SC_(1.8389755249023437500000000000000000000000e+01), SC_(1.4750930786132812500000000000000000000000e+01), SC_(1.0755818704952967604657667467570589014694e+00) },
{ SC_(1.1688289642333984375000000000000000000000e+01), SC_(1.5137226104736328125000000000000000000000e+01), SC_(9.1898468017578125000000000000000000000000e+01), SC_(1.6525911690388590736778885900608265524748e+00) },
{ SC_(1.1924232482910156250000000000000000000000e+01), SC_(1.2011219024658203125000000000000000000000e+01), SC_(-4.0594116210937500000000000000000000000000e+01), SC_(7.4851178379529739742633280077371070510780e-01) },
{ SC_(1.2301239013671875000000000000000000000000e+01), SC_(-8.9589996337890625000000000000000000000000e+00), SC_(4.1154846191406250000000000000000000000000e+01), SC_(6.9017196358095451854293654240777274042156e-01) },
{ SC_(1.2327018737792968750000000000000000000000e+01), SC_(-1.1047523498535156250000000000000000000000e+01), SC_(-9.6445220947265625000000000000000000000000e+01), SC_(2.0413145669966800018139885964776034907767e+00) },
{ SC_(1.2571392059326171875000000000000000000000e+01), SC_(-8.0067329406738281250000000000000000000000e+00), SC_(-5.1295013427734375000000000000000000000000e+01), SC_(1.6793741444375545094325398336730837149668e+00) },
{ SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(8.1158386230468750000000000000000000000000e+01), SC_(6.4222234388403296971258616743176546891569e-01) },
{ SC_(1.2833629608154296875000000000000000000000e+01), SC_(2.3828315734863281250000000000000000000000e-01), SC_(8.8014801025390625000000000000000000000000e+01), SC_(2.0522664314371239993932474771758162491563e+02) },
{ SC_(1.3400341033935546875000000000000000000000e+01), SC_(-1.4920528411865234375000000000000000000000e+01), SC_(9.3773559570312500000000000000000000000000e+01), SC_(6.2533688088926754811859161270845720628984e-01) },
{ SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(2.6471855163574218750000000000000000000000e+01), SC_(8.6665632633084739056152697596877041057703e-01) },
{ SC_(1.8286674499511718750000000000000000000000e+01), SC_(-1.5605529785156250000000000000000000000000e+01), SC_(-2.9248733520507812500000000000000000000000e+00), SC_(1.0103026896041773017354219597019763585889e+00) },
{ SC_(1.8595535278320312500000000000000000000000e+01), SC_(1.8707794189453125000000000000000000000000e+01), SC_(-6.8477386474609375000000000000000000000000e+01), SC_(8.1970974601224314505763503611136167469695e-01) },
{ SC_(1.9540863037109375000000000000000000000000e+01), SC_(-9.8287124633789062500000000000000000000000e+00), SC_(-3.3510345458984375000000000000000000000000e+01), SC_(1.1917262344050289610135662112296735911490e+00) },
{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.8300270080566406250000000000000000000000e+01), SC_(9.9292266845703125000000000000000000000000e+01), SC_(1.3120804234519319804237476312835263605802e+00) },
{ SC_(1.9762741088867187500000000000000000000000e+01), SC_(1.2938312530517578125000000000000000000000e+01), SC_(6.4380645751953125000000000000000000000000e+01), SC_(1.2817254805809260285294554516970119028856e+00) },
{ SC_(4.7215515136718750000000000000000000000000e+01), SC_(-3.4194250488281250000000000000000000000000e+02), SC_(-3.6137561035156250000000000000000000000000e+02), SC_(1.0226309476378112898976543388411657744031e+00) },
{ SC_(1.7873510742187500000000000000000000000000e+02), SC_(-1.0126147460937500000000000000000000000000e+02), SC_(2.5774011230468750000000000000000000000000e+02), SC_(9.8586076548119042518076397539909257012054e-01) },
{ SC_(1.7970269775390625000000000000000000000000e+02), SC_(-4.9718164062500000000000000000000000000000e+02), SC_(1.5509802246093750000000000000000000000000e+02), SC_(9.9826555310121491756334118823497873454182e-01) },
{ SC_(1.9482861328125000000000000000000000000000e+02), SC_(-3.7481726074218750000000000000000000000000e+02), SC_(-1.8290051269531250000000000000000000000000e+02), SC_(1.0025077558685747818258257430550175436007e+00) },
{ SC_(1.9907672119140625000000000000000000000000e+02), SC_(-8.7333465576171875000000000000000000000000e+01), SC_(3.9090319824218750000000000000000000000000e+02), SC_(9.7776877363038301340159194122578185239853e-01) },
{ SC_(2.0604608154296875000000000000000000000000e+02), SC_(2.9727990722656250000000000000000000000000e+02), SC_(-4.6816723632812500000000000000000000000000e+02), SC_(9.9238577026512882200354686225669434983401e-01) },
{ SC_(2.0936480712890625000000000000000000000000e+02), SC_(4.2087475585937500000000000000000000000000e+02), SC_(2.5468664550781250000000000000000000000000e+02), SC_(1.0028944958114437118136349433731517136021e+00) },
{ SC_(2.1070385742187500000000000000000000000000e+02), SC_(-3.3738830566406250000000000000000000000000e+02), SC_(1.4396093750000000000000000000000000000000e+02), SC_(9.9797696561938967233481685670351275504285e-01) },
{ SC_(2.2583898925781250000000000000000000000000e+02), SC_(4.7059277343750000000000000000000000000000e+02), SC_(4.8110961914062500000000000000000000000000e+02), SC_(1.0045370839403678094885983819734095280482e+00) },
{ SC_(2.4064727783203125000000000000000000000000e+02), SC_(2.4313244628906250000000000000000000000000e+02), SC_(-2.5241302490234375000000000000000000000000e+01), SC_(9.9956868458262201774926765165240721223391e-01) },
{ SC_(2.5126708984375000000000000000000000000000e+02), SC_(3.2124597167968750000000000000000000000000e+02), SC_(-2.4490490722656250000000000000000000000000e+02), SC_(9.9697050557993868496719715657438194438304e-01) },
{ SC_(2.6173120117187500000000000000000000000000e+02), SC_(-3.5070605468750000000000000000000000000000e+02), SC_(-2.6984399414062500000000000000000000000000e+02), SC_(1.0029440955622504123432909399947696491827e+00) },
{ SC_(2.6375000000000000000000000000000000000000e+02), SC_(4.5022204589843750000000000000000000000000e+02), SC_(-9.4109497070312500000000000000000000000000e+00), SC_(9.9992075039237587246879146010182205306644e-01) },
{ SC_(2.6551684570312500000000000000000000000000e+02), SC_(-4.4878356933593750000000000000000000000000e+02), SC_(2.9519995117187500000000000000000000000000e+02), SC_(9.9752571207922378499500009873424873777641e-01) },
{ SC_(2.7391711425781250000000000000000000000000e+02), SC_(4.5974389648437500000000000000000000000000e+02), SC_(7.3754638671875000000000000000000000000000e+01), SC_(1.0005858421906349963985855765556454843429e+00) },
{ SC_(2.9220727539062500000000000000000000000000e+02), SC_(3.7843066406250000000000000000000000000000e+02), SC_(4.5949243164062500000000000000000000000000e+02), SC_(1.0041638797684560593149320756621512436288e+00) },
{ SC_(2.9810583496093750000000000000000000000000e+02), SC_(3.0028039550781250000000000000000000000000e+02), SC_(-2.0297058105468750000000000000000000000000e+02), SC_(9.9773511249861368695030903074489543409392e-01) },
{ SC_(3.0753100585937500000000000000000000000000e+02), SC_(-2.2397491455078125000000000000000000000000e+02), SC_(2.0577423095703125000000000000000000000000e+02), SC_(9.9701699937223895470381479673430418968250e-01) },
{ SC_(3.0817541503906250000000000000000000000000e+02), SC_(-2.7618811035156250000000000000000000000000e+02), SC_(-4.8222619628906250000000000000000000000000e+02), SC_(1.0056817113332697933823605681340005184737e+00) },
{ SC_(3.1428479003906250000000000000000000000000e+02), SC_(-2.0016827392578125000000000000000000000000e+02), SC_(-2.5647509765625000000000000000000000000000e+02), SC_(1.0040852045181959166386631399212520283122e+00) },
{ SC_(3.1472363281250000000000000000000000000000e+02), SC_(-3.6452307128906250000000000000000000000000e+02), SC_(4.0579187011718750000000000000000000000000e+02), SC_(9.9646913231249277134534078280742311695748e-01) },
{ SC_(3.2084069824218750000000000000000000000000e+02), SC_(5.9570617675781250000000000000000000000000e+00), SC_(4.4007397460937500000000000000000000000000e+02), SC_(1.2542221647407933480773650336985701643284e+00) },
{ SC_(3.3500854492187500000000000000000000000000e+02), SC_(-3.7301318359375000000000000000000000000000e+02), SC_(4.6886779785156250000000000000000000000000e+02), SC_(9.9625496323957175957403384283666340287255e-01) },
{ SC_(4.1337585449218750000000000000000000000000e+02), SC_(-2.7896594238281250000000000000000000000000e+02), SC_(1.3235925292968750000000000000000000000000e+02), SC_(9.9885288090238247116006158310367961013934e-01) },
{ SC_(4.5716699218750000000000000000000000000000e+02), SC_(-3.9013830566406250000000000000000000000000e+02), SC_(-1.4624359130859375000000000000000000000000e+01), SC_(1.0000819976102168803390282401342006019679e+00) },
{ SC_(4.6488842773437500000000000000000000000000e+02), SC_(4.6769494628906250000000000000000000000000e+02), SC_(-3.4238696289062500000000000000000000000000e+02), SC_(9.9842650500965237149048741000997556591022e-01) },
{ SC_(4.8852160644531250000000000000000000000000e+02), SC_(-2.4571783447265625000000000000000000000000e+02), SC_(-1.6755175781250000000000000000000000000000e+02), SC_(1.0013967937499620519908303274499378625775e+00) },
{ SC_(4.9288122558593750000000000000000000000000e+02), SC_(4.5750683593750000000000000000000000000000e+02), SC_(4.9646130371093750000000000000000000000000e+02), SC_(1.0022040512881354342858258741438783825509e+00) },
{ SC_(4.9406848144531250000000000000000000000000e+02), SC_(3.2345776367187500000000000000000000000000e+02), SC_(3.2190319824218750000000000000000000000000e+02), SC_(1.0020163030217476522591853266650047605351e+00) }
}};
//#undef SC_

210
test/hypergeometric_1f2.ipp Normal file
View File

@@ -0,0 +1,210 @@
#ifndef SC_
# define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
#endif
static const boost::array<boost::array<T, 5>, 203> hypergeometric_1F2 = {{
{ SC_(-4.9536584472656250000000000000000000000000e+02), SC_(-4.6568273925781250000000000000000000000000e+02), SC_(2.7491040039062500000000000000000000000000e+02), SC_(4.7700195312500000000000000000000000000000e+02), SC_(6.2953633625840198330241832636073870213647e+00) },
{ SC_(-4.8809802246093750000000000000000000000000e+02), SC_(2.2695471191406250000000000000000000000000e+02), SC_(-1.6287738037109375000000000000000000000000e+02), SC_(-1.1143020629882812500000000000000000000000e+02), SC_(2.2954168492018348021567539085069725582696e-01) },
{ SC_(-4.5697619628906250000000000000000000000000e+02), SC_(4.0843359375000000000000000000000000000000e+02), SC_(-3.3101000976562500000000000000000000000000e+02), SC_(3.0913720703125000000000000000000000000000e+02), SC_(2.8406789544837496409837534677181916029002e+00) },
{ SC_(-4.2414575195312500000000000000000000000000e+02), SC_(-9.5791503906250000000000000000000000000000e+01), SC_(-4.4604992675781250000000000000000000000000e+02), SC_(-1.4723760986328125000000000000000000000000e+02), SC_(4.3621387519835661716303050453655954333981e+00) },
{ SC_(-4.2182446289062500000000000000000000000000e+02), SC_(3.5445092773437500000000000000000000000000e+02), SC_(-5.7321716308593750000000000000000000000000e+01), SC_(1.0423150634765625000000000000000000000000e+02), SC_(8.9770347887034762646255416767297731004656e+00) },
{ SC_(-4.1556420898437500000000000000000000000000e+02), SC_(-1.5376660156250000000000000000000000000000e+02), SC_(-1.0021734619140625000000000000000000000000e+02), SC_(3.5587512207031250000000000000000000000000e+02), SC_(4.0952594655659526604226152771672138770580e+07) },
{ SC_(-4.0354553222656250000000000000000000000000e+02), SC_(-2.7658007812500000000000000000000000000000e+02), SC_(-3.6802673339843750000000000000000000000000e+02), SC_(-9.6985168457031250000000000000000000000000e+00), SC_(1.0392018562107877165208393046336826121615e+00) },
{ SC_(-4.0286828613281250000000000000000000000000e+02), SC_(4.9406848144531250000000000000000000000000e+02), SC_(3.2345776367187500000000000000000000000000e+02), SC_(3.2190319824218750000000000000000000000000e+02), SC_(4.4308313520337312066670250774889362476371e-01) },
{ SC_(-3.9334729003906250000000000000000000000000e+02), SC_(-1.4558105468750000000000000000000000000000e+00), SC_(4.6189807128906250000000000000000000000000e+02), SC_(4.7992565917968750000000000000000000000000e+02), SC_(1.1195384661700382236382001507705022784189e+03) },
{ SC_(-3.8100231933593750000000000000000000000000e+02), SC_(-4.3967193603515625000000000000000000000000e+01), SC_(-1.6359252929687500000000000000000000000000e+00), SC_(2.7391711425781250000000000000000000000000e+02), SC_(-1.2900365105767572521165387360306912062493e+52) },
{ SC_(-3.7301318359375000000000000000000000000000e+02), SC_(4.6886779785156250000000000000000000000000e+02), SC_(4.1337585449218750000000000000000000000000e+02), SC_(-2.7896594238281250000000000000000000000000e+02), SC_(1.7088983160726331161548448241078207728564e+00) },
{ SC_(-3.5446105957031250000000000000000000000000e+02), SC_(-2.1732672119140625000000000000000000000000e+02), SC_(-3.6393151855468750000000000000000000000000e+02), SC_(3.0211145019531250000000000000000000000000e+02), SC_(2.5928803317535669685163913495588679602266e-01) },
{ SC_(-3.5070605468750000000000000000000000000000e+02), SC_(-2.6984399414062500000000000000000000000000e+02), SC_(-2.4249176025390625000000000000000000000000e+02), SC_(3.0973449707031250000000000000000000000000e+02), SC_(1.9142889445713712115260413093057932942367e-01) },
{ SC_(-3.4762207031250000000000000000000000000000e+02), SC_(3.1900329589843750000000000000000000000000e+00), SC_(3.2581701660156250000000000000000000000000e+02), SC_(-3.7525817871093750000000000000000000000000e+01), SC_(1.1480130815171587388506615460208536579504e+03) },
{ SC_(-3.4238696289062500000000000000000000000000e+02), SC_(2.2583898925781250000000000000000000000000e+02), SC_(4.7059277343750000000000000000000000000000e+02), SC_(4.8110961914062500000000000000000000000000e+02), SC_(2.0983327605520708176806967283659011097557e-01) },
{ SC_(-3.3781774902343750000000000000000000000000e+02), SC_(4.2749279785156250000000000000000000000000e+02), SC_(2.9428454589843750000000000000000000000000e+02), SC_(-6.3882446289062500000000000000000000000000e+01), SC_(1.1869817799931480728760769672044110585667e+00) },
{ SC_(-3.3435131835937500000000000000000000000000e+02), SC_(-3.8045288085937500000000000000000000000000e+02), SC_(1.0198193359375000000000000000000000000000e+02), SC_(-2.8043212890625000000000000000000000000000e+01), SC_(7.8509068293092183850912864620461919495373e-01) },
{ SC_(-3.1815307617187500000000000000000000000000e+02), SC_(4.8236047363281250000000000000000000000000e+02), SC_(-2.3619708251953125000000000000000000000000e+02), SC_(-4.0464489746093750000000000000000000000000e+02), SC_(3.2284305619312206575036028397068097398837e-01) },
{ SC_(-3.1609228515625000000000000000000000000000e+02), SC_(4.7709960937500000000000000000000000000000e+00), SC_(-2.6004748535156250000000000000000000000000e+02), SC_(3.2260498046875000000000000000000000000000e+02), SC_(2.0681843344609826233997194529693269163853e+12) },
{ SC_(-3.1312744140625000000000000000000000000000e+02), SC_(-9.1268829345703125000000000000000000000000e+01), SC_(-1.0235595703125000000000000000000000000000e+01), SC_(-4.2010833740234375000000000000000000000000e+01), SC_(-1.1434801258896651208704659123724449421769e+05) },
{ SC_(-3.0340478515625000000000000000000000000000e+02), SC_(3.4846777343750000000000000000000000000000e+02), SC_(-2.4891619873046875000000000000000000000000e+02), SC_(4.5501757812500000000000000000000000000000e+02), SC_(4.8984161004382169077893149986653301379522e+00) },
{ SC_(-2.7102307128906250000000000000000000000000e+02), SC_(5.4985351562500000000000000000000000000000e+00), SC_(4.1333728027343750000000000000000000000000e+02), SC_(5.8268798828125000000000000000000000000000e+01), SC_(2.3772578658335831769915649816518556238736e-03) },
{ SC_(-2.6522009277343750000000000000000000000000e+02), SC_(5.2881164550781250000000000000000000000000e+01), SC_(-1.4684143066406250000000000000000000000000e+02), SC_(-4.4684753417968750000000000000000000000000e+02), SC_(8.4892537677592787989991483572127549572789e-09) },
{ SC_(-2.6008386230468750000000000000000000000000e+02), SC_(-4.5952893066406250000000000000000000000000e+02), SC_(-3.7668115234375000000000000000000000000000e+02), SC_(-2.4704406738281250000000000000000000000000e+02), SC_(1.4495627712429950621933072560877302044965e+00) },
{ SC_(-2.5830871582031250000000000000000000000000e+02), SC_(-2.2724700927734375000000000000000000000000e+02), SC_(-9.6087860107421875000000000000000000000000e+01), SC_(-7.5580139160156250000000000000000000000000e+00), SC_(1.0935759282076007044751382503570393444482e+00) },
{ SC_(-2.4012957763671875000000000000000000000000e+02), SC_(-4.5494055175781250000000000000000000000000e+02), SC_(3.0006848144531250000000000000000000000000e+02), SC_(1.6011944580078125000000000000000000000000e+02), SC_(1.3250416124772042353426751277966619703625e+00) },
{ SC_(-2.3702874755859375000000000000000000000000e+02), SC_(-1.5978033447265625000000000000000000000000e+02), SC_(1.5407910156250000000000000000000000000000e+02), SC_(2.9841979980468750000000000000000000000000e+01), SC_(1.3326049952467952598653371651232863684134e+00) },
{ SC_(-2.2397491455078125000000000000000000000000e+02), SC_(2.0577423095703125000000000000000000000000e+02), SC_(1.7970269775390625000000000000000000000000e+02), SC_(-4.9718164062500000000000000000000000000000e+02), SC_(1.9056234941228406055930919346670994692304e+01) },
{ SC_(-2.2307702636718750000000000000000000000000e+02), SC_(3.7242883300781250000000000000000000000000e+02), SC_(-4.5382861328125000000000000000000000000000e+02), SC_(-3.5088610839843750000000000000000000000000e+02), SC_(6.2898720554615802418327146735741736394814e-01) },
{ SC_(-2.2150177001953125000000000000000000000000e+02), SC_(-3.1161804199218750000000000000000000000000e+02), SC_(4.6881469726562500000000000000000000000000e+01), SC_(4.9288122558593750000000000000000000000000e+02), SC_(1.0487435494209809074694724050956547440689e+03) },
{ SC_(-1.8878497314453125000000000000000000000000e+02), SC_(3.6267810058593750000000000000000000000000e+02), SC_(2.8533142089843750000000000000000000000000e+01), SC_(1.2036004638671875000000000000000000000000e+02), SC_(9.9383072015492347795086661518016762849065e-02) },
{ SC_(-1.6228057861328125000000000000000000000000e+02), SC_(3.8772607421875000000000000000000000000000e+02), SC_(4.0005383300781250000000000000000000000000e+02), SC_(-1.5616046142578125000000000000000000000000e+02), SC_(1.1773064181329539807646132943923713860725e+00) },
{ SC_(-1.4904760742187500000000000000000000000000e+02), SC_(-3.0044885253906250000000000000000000000000e+02), SC_(1.3249511718750000000000000000000000000000e+01), SC_(-3.6199865722656250000000000000000000000000e+02), SC_(-2.4029573460782352192606632604885723921759e-06) },
{ SC_(-1.4834051513671875000000000000000000000000e+02), SC_(-4.3240466308593750000000000000000000000000e+02), SC_(3.3082861328125000000000000000000000000000e+02), SC_(2.9359753417968750000000000000000000000000e+02), SC_(1.3554151740644619074420270217185158298084e+00) },
{ SC_(-1.3151544189453125000000000000000000000000e+02), SC_(-1.5607025146484375000000000000000000000000e+02), SC_(1.2561859130859375000000000000000000000000e+02), SC_(3.1576904296875000000000000000000000000000e+02), SC_(8.1520938504033295486071048439136075568494e+00) },
{ SC_(-1.3075323486328125000000000000000000000000e+02), SC_(-4.6673144531250000000000000000000000000000e+02), SC_(-3.8879724121093750000000000000000000000000e+02), SC_(-3.3712792968750000000000000000000000000000e+02), SC_(1.2748509702084167484662551181100799157721e+00) },
{ SC_(-1.1955416870117187500000000000000000000000e+02), SC_(-2.9193200683593750000000000000000000000000e+02), SC_(6.7821594238281250000000000000000000000000e+01), SC_(2.7371459960937500000000000000000000000000e+01), SC_(1.1794084458977569869956360625369446312629e+00) },
{ SC_(-9.8191986083984375000000000000000000000000e+01), SC_(-1.1766705322265625000000000000000000000000e+02), SC_(-4.2403332519531250000000000000000000000000e+02), SC_(2.6242126464843750000000000000000000000000e+02), SC_(5.9669343007090826088072192231073904673194e-01) },
{ SC_(-8.2732940673828125000000000000000000000000e+01), SC_(4.8172314453125000000000000000000000000000e+02), SC_(-4.5034558105468750000000000000000000000000e+02), SC_(3.2345532226562500000000000000000000000000e+02), SC_(1.1311809199747059032676993957739437928526e+00) },
{ SC_(-7.8238739013671875000000000000000000000000e+01), SC_(-3.8753552246093750000000000000000000000000e+02), SC_(4.1573547363281250000000000000000000000000e+02), SC_(1.3976336669921875000000000000000000000000e+02), SC_(1.0701965862482266358967694037812895100740e+00) },
{ SC_(-6.8586181640625000000000000000000000000000e+01), SC_(2.4994097900390625000000000000000000000000e+02), SC_(4.1064758300781250000000000000000000000000e+02), SC_(-3.6700402832031250000000000000000000000000e+02), SC_(1.2771356300389206196314378574550847037874e+00) },
{ SC_(-6.1255645751953125000000000000000000000000e+01), SC_(-3.7410339355468750000000000000000000000000e+02), SC_(-1.1844155883789062500000000000000000000000e+02), SC_(-2.8979101562500000000000000000000000000000e+02), SC_(1.4921182330716139350597725372333505935146e+00) },
{ SC_(-5.4413787841796875000000000000000000000000e+01), SC_(-1.2431091308593750000000000000000000000000e+01), SC_(1.4631298828125000000000000000000000000000e+02), SC_(2.9397497558593750000000000000000000000000e+02), SC_(-2.5278953264648316431087258570812681778992e+04) },
{ SC_(-5.3216247558593750000000000000000000000000e+01), SC_(2.5578985595703125000000000000000000000000e+02), SC_(-1.9365051269531250000000000000000000000000e+02), SC_(-3.9193811035156250000000000000000000000000e+02), SC_(6.5531594455879472422876799045220598756408e-01) },
{ SC_(-4.9458404541015625000000000000000000000000e+01), SC_(2.2049340820312500000000000000000000000000e+02), SC_(-4.1617871093750000000000000000000000000000e+02), SC_(4.1257751464843750000000000000000000000000e+02), SC_(1.2483438748421501457339905802753720720856e+00) },
{ SC_(-1.3208374023437500000000000000000000000000e+01), SC_(4.1056494140625000000000000000000000000000e+02), SC_(-6.4141418457031250000000000000000000000000e+01), SC_(-1.1382293701171875000000000000000000000000e+01), SC_(9.9430625587774773590881102535071325517011e-01) },
{ SC_(-9.1358947753906250000000000000000000000000e+00), SC_(-2.5215240478515625000000000000000000000000e+02), SC_(-1.0747375488281250000000000000000000000000e+01), SC_(4.4056091308593750000000000000000000000000e+01), SC_(8.6184774616504107537101040944344063025663e-01) },
{ SC_(-1.9523921012878417968750000000000000000000e+00), SC_(9.0781879425048828125000000000000000000000e-01), SC_(-6.5150952339172363281250000000000000000000e-01), SC_(-2.2286041259765625000000000000000000000000e+01), SC_(-1.1829184327297930459732091586947349183430e+03) },
{ SC_(-1.6965827941894531250000000000000000000000e+00), SC_(-3.8316595554351806640625000000000000000000e-01), SC_(-1.7841997146606445312500000000000000000000e+00), SC_(-2.9447517395019531250000000000000000000000e+01), SC_(3.0932019607617689720770559134107540658859e+02) },
{ SC_(-1.6114730834960937500000000000000000000000e+00), SC_(1.9762740135192871093750000000000000000000e+00), SC_(1.2938313484191894531250000000000000000000e+00), SC_(6.4380645751953125000000000000000000000000e+01), SC_(4.5751763441190395082568811070936983485471e+02) },
{ SC_(-1.5240092277526855468750000000000000000000e+00), SC_(-1.7586874961853027343750000000000000000000e-01), SC_(-6.5437555313110351562500000000000000000000e-03), SC_(5.4783432006835937500000000000000000000000e+01), SC_(8.7593445866548644784554153716920135220292e+07) },
{ SC_(-1.4920530319213867187500000000000000000000e+00), SC_(1.8754711151123046875000000000000000000000e+00), SC_(1.6535034179687500000000000000000000000000e+00), SC_(-5.5793197631835937500000000000000000000000e+01), SC_(5.9574323300473903736296340992008016775853e+01) },
{ SC_(-1.4028239250183105468750000000000000000000e+00), SC_(-1.0793757438659667968750000000000000000000e+00), SC_(-9.6996712684631347656250000000000000000000e-01), SC_(6.1946899414062500000000000000000000000000e+01), SC_(-3.0454988293761419029095887681263402220572e+09) },
{ SC_(-1.3695478439331054687500000000000000000000e+00), SC_(9.0335583686828613281250000000000000000000e-01), SC_(1.8823709487915039062500000000000000000000e+00), SC_(9.6221923828125000000000000000000000000000e+01), SC_(1.5993919919071500351168916827210844991695e+04) },
{ SC_(-1.3512711524963378906250000000000000000000e+00), SC_(1.7099714279174804687500000000000000000000e+00), SC_(1.1771378517150878906250000000000000000000e+00), SC_(-1.2776489257812500000000000000000000000000e+01), SC_(1.2240014879399043423175568994561403840721e+01) },
{ SC_(-1.2525095939636230468750000000000000000000e+00), SC_(-3.6507534980773925781250000000000000000000e-01), SC_(-4.0942430496215820312500000000000000000000e-02), SC_(-8.4021682739257812500000000000000000000000e+00), SC_(1.4097716434932852029816897270885530598483e+03) },
{ SC_(-1.2136192321777343750000000000000000000000e+00), SC_(1.3938708305358886718750000000000000000000e+00), SC_(-9.9566459655761718750000000000000000000000e-01), SC_(9.1003509521484375000000000000000000000000e+01), SC_(-2.1412398725284440675823281404424652677267e+08) },
{ SC_(-8.9589977264404296875000000000000000000000e-01), SC_(8.2309699058532714843750000000000000000000e-01), SC_(7.1881079673767089843750000000000000000000e-01), SC_(-9.9436309814453125000000000000000000000000e+01), SC_(1.0948867089361139355200808120640760155402e+02) },
{ SC_(-8.9230823516845703125000000000000000000000e-01), SC_(1.4897150993347167968750000000000000000000e+00), SC_(-1.8153147697448730468750000000000000000000e+00), SC_(-7.0177215576171875000000000000000000000000e+01), SC_(-7.6674988422858550132775055090660067781617e+00) },
{ SC_(-8.8600707054138183593750000000000000000000e-01), SC_(-1.2464723587036132812500000000000000000000e+00), SC_(1.8752598762512207031250000000000000000000e-01), SC_(9.8576263427734375000000000000000000000000e+01), SC_(-1.0770215401622412837922799995284943227872e+09) },
{ SC_(-5.9336209297180175781250000000000000000000e-01), SC_(-1.7296185493469238281250000000000000000000e+00), SC_(1.3233141899108886718750000000000000000000e+00), SC_(5.8719512939453125000000000000000000000000e+01), SC_(-1.1009498459690405526674569312679275410682e+06) },
{ SC_(-4.7821664810180664062500000000000000000000e-01), SC_(-1.1677279472351074218750000000000000000000e+00), SC_(2.7128648757934570312500000000000000000000e-01), SC_(5.4742965698242187500000000000000000000000e+00), SC_(-1.9266906856217955276585238741895455418904e+02) },
{ SC_(-3.1295490264892578125000000000000000000000e-01), SC_(-1.5501422882080078125000000000000000000000e+00), SC_(1.6629419326782226562500000000000000000000e+00), SC_(2.7952667236328125000000000000000000000000e+01), SC_(-3.5021530400436195089164439908334907557730e+03) },
{ SC_(-2.4502253532409667968750000000000000000000e-01), SC_(-1.4964137077331542968750000000000000000000e+00), SC_(-4.7376620769500732421875000000000000000000e-01), SC_(-5.7958190917968750000000000000000000000000e+01), SC_(8.8772058948223989853147952305320917042946e+01) },
{ SC_(-2.1765518188476562500000000000000000000000e-01), SC_(-4.9724340438842773437500000000000000000000e-02), SC_(5.8525204658508300781250000000000000000000e-01), SC_(5.8794998168945312500000000000000000000000e+01), SC_(4.5921366203604249788225130841098163284568e+06) },
{ SC_(-9.7619613370625302195549011230468750000000e-07), SC_(4.5390936520561808720231056213378906250000e-07), SC_(-3.2575474051554920151829719543457031250000e-07), SC_(-4.4572086334228515625000000000000000000000e+00), SC_(2.0390856319903787480402625064753476893836e+06) },
{ SC_(-8.4829139268549624830484390258789062500000e-07), SC_(-1.9158295572196948342025279998779296875000e-07), SC_(-8.9209993348049465566873550415039062500000e-07), SC_(-5.8895034790039062500000000000000000000000e+00), SC_(-3.7050701918386056547771125250197701019540e+06) },
{ SC_(-8.0573659033689182251691818237304687500000e-07), SC_(9.8813688964582979679107666015625000000000e-07), SC_(6.4691562329244334250688552856445312500000e-07), SC_(1.2876132965087890625000000000000000000000e+01), SC_(-8.3298943510672174570318656500757462377147e+08) },
{ SC_(-7.6200467447051778435707092285156250000000e-07), SC_(-8.7934381554077845066785812377929687500000e-08), SC_(-3.2719071896281093358993530273437500000000e-09), SC_(1.0956684112548828125000000000000000000000e+01), SC_(-9.5861706646135309243107091950306113675211e+11) },
{ SC_(-7.4602644417609553784132003784179687500000e-07), SC_(9.3773542175767943263053894042968750000000e-07), SC_(8.2675160228973254561424255371093750000000e-07), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(-3.2480681746796721650950875355518067773457e+05) },
{ SC_(-7.0141209107532631605863571166992187500000e-07), SC_(-5.3968801694281864911317825317382812500000e-07), SC_(-4.8498350224690511822700500488281250000000e-07), SC_(1.2389381408691406250000000000000000000000e+01), SC_(-1.5276873193825676575054334716098034939573e+09) },
{ SC_(-6.8477379500109236687421798706054687500000e-07), SC_(4.5167791995481820777058601379394531250000e-07), SC_(9.4118558990885503590106964111328125000000e-07), SC_(1.9244384765625000000000000000000000000000e+01), SC_(-5.8766461812921984449513547456744185037625e+09) },
{ SC_(-6.7563541961135342717170715332031250000000e-07), SC_(8.5498572843789588660001754760742187500000e-07), SC_(5.8856903706328012049198150634765625000000e-07), SC_(-2.5552978515625000000000000000000000000000e+00), SC_(5.6344407174277391731457778331764112027764e+05) },
{ SC_(-6.2625485952594317495822906494140625000000e-07), SC_(-1.8253768985232454724609851837158203125000e-07), SC_(-2.0471247808018233627080917358398437500000e-08), SC_(-1.6804332733154296875000000000000000000000e+00), SC_(1.0272970389489382601204444664366227074609e+08) },
{ SC_(-6.0680963542836252599954605102539062500000e-07), SC_(6.9693555815319996327161788940429687500000e-07), SC_(-4.9783238864620216190814971923828125000000e-07), SC_(1.8200698852539062500000000000000000000000e+01), SC_(4.9368357357713658461736812608373135802872e+09) },
{ SC_(-4.4794990117225097492337226867675781250000e-07), SC_(4.1154851260216673836112022399902343750000e-07), SC_(3.5940536236012121662497520446777343750000e-07), SC_(-1.9887268066406250000000000000000000000000e+01), SC_(3.4313447988255817246239442092899209507143e+06) },
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{ SC_(1.8389759063720703125000000000000000000000e+00), SC_(2.9501867294311523437500000000000000000000e-01), SC_(-6.3845705986022949218750000000000000000000e-01), SC_(7.5351470947265625000000000000000000000000e+01), SC_(-4.6188765277433671547205922059114125063657e+10) },
{ SC_(5.9570617675781250000000000000000000000000e+00), SC_(4.4007397460937500000000000000000000000000e+02), SC_(1.9907672119140625000000000000000000000000e+02), SC_(-8.7333465576171875000000000000000000000000e+01), SC_(9.9408202789347440711233450541676536182022e-01) },
{ SC_(8.5086669921875000000000000000000000000000e+00), SC_(-1.0641015625000000000000000000000000000000e+02), SC_(1.0771575927734375000000000000000000000000e+01), SC_(3.7018676757812500000000000000000000000000e+02), SC_(7.2623516516618524029955680515314046153725e-02) },
{ SC_(3.0797546386718750000000000000000000000000e+01), SC_(9.2823852539062500000000000000000000000000e+01), SC_(2.7916723632812500000000000000000000000000e+02), SC_(-1.4365484619140625000000000000000000000000e+02), SC_(8.4326727659631721157174183460631559152188e-01) },
{ SC_(3.8342407226562500000000000000000000000000e+01), SC_(4.6591918945312500000000000000000000000000e+01), SC_(4.9613464355468750000000000000000000000000e+02), SC_(-5.2415618896484375000000000000000000000000e+01), SC_(9.1673888745882473859576194972962541813227e-01) },
{ SC_(4.7008850097656250000000000000000000000000e+01), SC_(2.1846997070312500000000000000000000000000e+02), SC_(-2.0367919921875000000000000000000000000000e+02), SC_(-2.1219500732421875000000000000000000000000e+02), SC_(1.2519657355138109275596480610260289714339e+00) },
{ SC_(4.7215515136718750000000000000000000000000e+01), SC_(-3.4194250488281250000000000000000000000000e+02), SC_(-3.6137561035156250000000000000000000000000e+02), SC_(2.6173120117187500000000000000000000000000e+02), SC_(1.1053277666865944797922760544446432575240e+00) },
{ SC_(4.9860168457031250000000000000000000000000e+01), SC_(-4.9190612792968750000000000000000000000000e+02), SC_(-3.5504528808593750000000000000000000000000e+02), SC_(1.8028704833984375000000000000000000000000e+02), SC_(1.0528522949754939235139478459583473047497e+00) },
{ SC_(6.8823608398437500000000000000000000000000e+01), SC_(-1.0509176635742187500000000000000000000000e+02), SC_(-3.0609375000000000000000000000000000000000e+01), SC_(-1.1270410156250000000000000000000000000000e+02), SC_(8.1882433453513698015868373598626589179897e-02) },
{ SC_(7.5208618164062500000000000000000000000000e+01), SC_(2.5750354003906250000000000000000000000000e+02), SC_(-4.4022045898437500000000000000000000000000e+02), SC_(-6.4754302978515625000000000000000000000000e+01), SC_(1.0439093035567952930037308345414953398907e+00) },
{ SC_(8.5264099121093750000000000000000000000000e+01), SC_(9.4503601074218750000000000000000000000000e+01), SC_(4.9723632812500000000000000000000000000000e+01), SC_(2.3279870605468750000000000000000000000000e+02), SC_(5.8750126590687399051494813676638267079334e+01) },
{ SC_(8.5267700195312500000000000000000000000000e+01), SC_(3.0817541503906250000000000000000000000000e+02), SC_(-2.7618811035156250000000000000000000000000e+02), SC_(-4.8222619628906250000000000000000000000000e+02), SC_(1.6233879657458505074002724075600326142420e+00) },
{ SC_(1.1604467773437500000000000000000000000000e+02), SC_(2.7889770507812500000000000000000000000000e+02), SC_(-2.6711151123046875000000000000000000000000e+01), SC_(4.8745959472656250000000000000000000000000e+02), SC_(-5.1806230097166898561484867910370677250847e+11) },
{ SC_(1.3235925292968750000000000000000000000000e+02), SC_(-1.9183294677734375000000000000000000000000e+02), SC_(-4.0245959472656250000000000000000000000000e+02), SC_(4.7220581054687500000000000000000000000000e+01), SC_(1.0843760236525485545300232781003619651486e+00) },
{ SC_(1.4431811523437500000000000000000000000000e+02), SC_(4.3805480957031250000000000000000000000000e+01), SC_(-1.2139062500000000000000000000000000000000e+02), SC_(-3.5985620117187500000000000000000000000000e+02), SC_(1.3357739425675917693250999924089324792270e+04) },
{ SC_(1.4774597167968750000000000000000000000000e+02), SC_(-6.6731567382812500000000000000000000000000e+00), SC_(-4.9076293945312500000000000000000000000000e+01), SC_(-1.2149957275390625000000000000000000000000e+02), SC_(5.1197828186533227158345362301702048091881e+28) },
{ SC_(1.4911547851562500000000000000000000000000e+02), SC_(-2.4170410156250000000000000000000000000000e+02), SC_(2.3172241210937500000000000000000000000000e+02), SC_(-3.7015356445312500000000000000000000000000e+02), SC_(2.6877066984629240237619084760338808431856e+00) },
{ SC_(1.5509802246093750000000000000000000000000e+02), SC_(2.1070385742187500000000000000000000000000e+02), SC_(-3.3738830566406250000000000000000000000000e+02), SC_(1.4396093750000000000000000000000000000000e+02), SC_(7.3062440833951586535134071449784945111317e-01) },
{ SC_(1.5547790527343750000000000000000000000000e+02), SC_(-3.2613488769531250000000000000000000000000e+02), SC_(-3.2881335449218750000000000000000000000000e+02), SC_(-1.9808691406250000000000000000000000000000e+02), SC_(7.5075383430041262036181333045794876434641e-01) },
{ SC_(1.5574066162109375000000000000000000000000e+02), SC_(2.9792858886718750000000000000000000000000e+02), SC_(-4.6428833007812500000000000000000000000000e+02), SC_(-1.3870599365234375000000000000000000000000e+02), SC_(1.1690992366280791280451092675281448474856e+00) },
{ SC_(1.7873510742187500000000000000000000000000e+02), SC_(-1.0126147460937500000000000000000000000000e+02), SC_(2.5774011230468750000000000000000000000000e+02), SC_(2.4064727783203125000000000000000000000000e+02), SC_(1.9544031713550955202857129631641108208979e-01) },
{ SC_(1.8677545166015625000000000000000000000000e+02), SC_(-1.8749200439453125000000000000000000000000e+02), SC_(-3.1648889160156250000000000000000000000000e+02), SC_(-1.1428948974609375000000000000000000000000e+02), SC_(6.9848690296299354656034435971521134384812e-01) },
{ SC_(1.8921453857421875000000000000000000000000e+02), SC_(2.1610070800781250000000000000000000000000e+02), SC_(2.4815161132812500000000000000000000000000e+02), SC_(4.8837939453125000000000000000000000000000e+02), SC_(5.5748017785187218308346802966558249227462e+00) },
{ SC_(1.9482861328125000000000000000000000000000e+02), SC_(-3.7481726074218750000000000000000000000000e+02), SC_(-1.8290051269531250000000000000000000000000e+02), SC_(2.6375000000000000000000000000000000000000e+02), SC_(2.1241257553875583463447574807800686251487e+00) },
{ SC_(2.0604608154296875000000000000000000000000e+02), SC_(2.9727990722656250000000000000000000000000e+02), SC_(-4.6816723632812500000000000000000000000000e+02), SC_(-1.8344958496093750000000000000000000000000e+02), SC_(1.3122252792894591667313671877695914708523e+00) },
{ SC_(2.0936480712890625000000000000000000000000e+02), SC_(4.2087475585937500000000000000000000000000e+02), SC_(2.5468664550781250000000000000000000000000e+02), SC_(3.0753100585937500000000000000000000000000e+02), SC_(1.8228325257149518968722585690474551162785e+00) },
{ SC_(2.4313244628906250000000000000000000000000e+02), SC_(-2.5241302490234375000000000000000000000000e+01), SC_(-1.0777297973632812500000000000000000000000e+02), SC_(-7.7912322998046875000000000000000000000000e+01), SC_(8.7691487492118718001505295364659231092406e+12) },
{ SC_(2.4469281005859375000000000000000000000000e+02), SC_(1.2343554687500000000000000000000000000000e+02), SC_(-3.1104504394531250000000000000000000000000e+02), SC_(3.1187390136718750000000000000000000000000e+02), SC_(1.3679995077611709748991235074299323249056e-01) },
{ SC_(2.5126708984375000000000000000000000000000e+02), SC_(3.2124597167968750000000000000000000000000e+02), SC_(-2.4490490722656250000000000000000000000000e+02), SC_(3.2084069824218750000000000000000000000000e+02), SC_(3.5984174600298931119002701409764053018282e-01) },
{ SC_(2.5720019531250000000000000000000000000000e+02), SC_(-1.0767953491210937500000000000000000000000e+02), SC_(2.5372912597656250000000000000000000000000e+02), SC_(6.1557495117187500000000000000000000000000e+01), SC_(5.6105290183520099850011748400929360300147e-01) },
{ SC_(2.6551684570312500000000000000000000000000e+02), SC_(-4.4878356933593750000000000000000000000000e+02), SC_(2.9519995117187500000000000000000000000000e+02), SC_(-4.6355883789062500000000000000000000000000e+02), SC_(2.5349908269374531321206547189382655961137e+00) },
{ SC_(2.8022741699218750000000000000000000000000e+02), SC_(1.6928509521484375000000000000000000000000e+02), SC_(-4.1887426757812500000000000000000000000000e+02), SC_(-1.2058114624023437500000000000000000000000e+02), SC_(1.6104839559394443238565405614701641112102e+00) },
{ SC_(2.8025195312500000000000000000000000000000e+02), SC_(3.7736389160156250000000000000000000000000e+02), SC_(-1.1026116943359375000000000000000000000000e+02), SC_(-2.8969812011718750000000000000000000000000e+02), SC_(7.1772875921003886045321611046529753942132e+00) },
{ SC_(2.9220727539062500000000000000000000000000e+02), SC_(3.7843066406250000000000000000000000000000e+02), SC_(4.5949243164062500000000000000000000000000e+02), SC_(3.6627197265625000000000000000000000000000e+00), SC_(1.0061739824673654390019792070836039118033e+00) },
{ SC_(3.0028039550781250000000000000000000000000e+02), SC_(-2.0297058105468750000000000000000000000000e+02), SC_(-3.5811364746093750000000000000000000000000e+02), SC_(-4.9521655273437500000000000000000000000000e+02), SC_(1.3224555718324446086245358664858068925167e-01) },
{ SC_(3.1428479003906250000000000000000000000000e+02), SC_(-2.0016827392578125000000000000000000000000e+02), SC_(-2.5647509765625000000000000000000000000000e+02), SC_(-4.8646093750000000000000000000000000000000e+02), SC_(5.3606043569822407678700658098436422934217e-02) },
{ SC_(3.1472363281250000000000000000000000000000e+02), SC_(-3.6452307128906250000000000000000000000000e+02), SC_(4.0579187011718750000000000000000000000000e+02), SC_(3.3500854492187500000000000000000000000000e+02), SC_(4.9070868113724046848391473903549599477217e-01) },
{ SC_(3.1730322265625000000000000000000000000000e+02), SC_(-1.3681353759765625000000000000000000000000e+02), SC_(3.6869470214843750000000000000000000000000e+02), SC_(1.7951971435546875000000000000000000000000e+02), SC_(3.2486969100887639397686279274711519871883e-01) },
{ SC_(3.1762768554687500000000000000000000000000e+02), SC_(-1.3913928222656250000000000000000000000000e+02), SC_(2.9483142089843750000000000000000000000000e+02), SC_(4.1711791992187500000000000000000000000000e+02), SC_(4.0997442016031168571088908036165895223187e-02) },
{ SC_(3.2119396972656250000000000000000000000000e+02), SC_(-1.7748925781250000000000000000000000000000e+02), SC_(-4.8459655761718750000000000000000000000000e+02), SC_(-9.5018615722656250000000000000000000000000e+01), SC_(7.0176937304609757982265942290364945142837e-01) },
{ SC_(3.4071728515625000000000000000000000000000e+02), SC_(4.8852160644531250000000000000000000000000e+02), SC_(-2.4571783447265625000000000000000000000000e+02), SC_(-1.6755175781250000000000000000000000000000e+02), SC_(1.6098537510564271775154622946473632101740e+00) },
{ SC_(3.4912927246093750000000000000000000000000e+02), SC_(-2.8807568359375000000000000000000000000000e+02), SC_(4.3399316406250000000000000000000000000000e+02), SC_(1.8135955810546875000000000000000000000000e+02), SC_(6.0294254404337351532959084802691688193664e-01) },
{ SC_(3.5303112792968750000000000000000000000000e+02), SC_(3.3933105468750000000000000000000000000000e+01), SC_(1.2205511474609375000000000000000000000000e+02), SC_(-6.1333190917968750000000000000000000000000e+01), SC_(2.9227845424513001188641505257754927836543e-03) },
{ SC_(3.6929211425781250000000000000000000000000e+02), SC_(-4.2244299316406250000000000000000000000000e+02), SC_(7.9704589843750000000000000000000000000000e+01), SC_(1.2738433837890625000000000000000000000000e+02), SC_(2.4550012097873731086926329665170573166183e-01) },
{ SC_(3.9090319824218750000000000000000000000000e+02), SC_(-7.6834899902343750000000000000000000000000e+01), SC_(4.5929138183593750000000000000000000000000e+02), SC_(8.0956726074218750000000000000000000000000e+01), SC_(4.1008638464621294670577937874274757421403e-01) },
{ SC_(4.0271606445312500000000000000000000000000e+02), SC_(-1.9817272949218750000000000000000000000000e+02), SC_(4.4478723144531250000000000000000000000000e+02), SC_(-4.5205578613281250000000000000000000000000e+02), SC_(7.9792084394359697149364995431404904951076e+00) },
{ SC_(4.1719360351562500000000000000000000000000e+02), SC_(1.9523284912109375000000000000000000000000e+02), SC_(-2.1416101074218750000000000000000000000000e+02), SC_(1.7981976318359375000000000000000000000000e+02), SC_(1.6677161550201597911217819138227481518146e-01) },
{ SC_(4.2926367187500000000000000000000000000000e+02), SC_(-2.8276220703125000000000000000000000000000e+02), SC_(-1.5001623535156250000000000000000000000000e+02), SC_(4.0736474609375000000000000000000000000000e+02), SC_(6.9169828474031185548966363292999294270636e+01) },
{ SC_(4.2938598632812500000000000000000000000000e+02), SC_(-4.1503112792968750000000000000000000000000e+01), SC_(2.7571264648437500000000000000000000000000e+02), SC_(-1.9638604736328125000000000000000000000000e+02), SC_(3.8677599404919126050288702417981127634707e+03) },
{ SC_(4.3401062011718750000000000000000000000000e+02), SC_(4.6496630859375000000000000000000000000000e+02), SC_(-3.7009387207031250000000000000000000000000e+02), SC_(-3.4556164550781250000000000000000000000000e+02), SC_(2.3932234491787327738182561861870260515121e+00) },
{ SC_(4.4205053710937500000000000000000000000000e+02), SC_(4.5494335937500000000000000000000000000000e+02), SC_(4.5613452148437500000000000000000000000000e+02), SC_(1.5196862792968750000000000000000000000000e+02), SC_(1.3821127954875742281701612743057268242803e+00) },
{ SC_(4.5022204589843750000000000000000000000000e+02), SC_(-9.4109497070312500000000000000000000000000e+00), SC_(-4.6555395507812500000000000000000000000000e+02), SC_(1.6360552978515625000000000000000000000000e+02), SC_(8.4971823818350884090250702761334177048449e+04) },
{ SC_(4.5716699218750000000000000000000000000000e+02), SC_(-3.9013830566406250000000000000000000000000e+02), SC_(-1.4624359130859375000000000000000000000000e+01), SC_(2.9810583496093750000000000000000000000000e+02), SC_(2.2895900262598367967724720672458868414459e+07) },
{ SC_(4.5750683593750000000000000000000000000000e+02), SC_(4.9646130371093750000000000000000000000000e+02), SC_(4.6488842773437500000000000000000000000000e+02), SC_(4.6769494628906250000000000000000000000000e+02), SC_(2.5250277249663024383341030945760911735103e+00) },
{ SC_(4.5974389648437500000000000000000000000000e+02), SC_(7.3754638671875000000000000000000000000000e+01), SC_(-1.5961425781250000000000000000000000000000e+02), SC_(3.7675744628906250000000000000000000000000e+02), SC_(1.9308146485371088709212764705092521101549e-07) }
}};
//#undef SC_

508
test/hypergeometric_2f1.ipp Normal file
View File

@@ -0,0 +1,508 @@
#ifndef SC_
# define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
#endif
static const boost::array<boost::array<T, 5>, 500> hypergeometric_2F1 = {{
{ SC_(-9.9895538330078125000000000000000000000000e+01), SC_(-9.3285552978515625000000000000000000000000e+01), SC_(7.3087707519531250000000000000000000000000e+01), SC_(-1.8142122030258178710937500000000000000000e-01), SC_(6.5891986527929449267593715511756563448513e-15) },
{ SC_(-9.9073181152343750000000000000000000000000e+01), SC_(-9.3136535644531250000000000000000000000000e+01), SC_(5.4982086181640625000000000000000000000000e+01), SC_(9.5400404930114746093750000000000000000000e-01), SC_(1.1007633109021571039219928777818293629102e+28) },
{ SC_(-9.7619598388671875000000000000000000000000e+01), SC_(4.5390945434570312500000000000000000000000e+01), SC_(-3.2575469970703125000000000000000000000000e+01), SC_(-2.2286039590835571289062500000000000000000e-01), SC_(-6.4789723389675742353349389221567944679928e+38) },
{ SC_(-9.6902587890625000000000000000000000000000e+01), SC_(6.3223403930664062500000000000000000000000e+01), SC_(9.6812744140625000000000000000000000000000e+01), SC_(-4.1322350502014160156250000000000000000000e-01), SC_(3.2079560298672561791430457929878905585658e+10) },
{ SC_(-9.6603424072265625000000000000000000000000e+01), SC_(-2.0321739196777343750000000000000000000000e+01), SC_(-7.5828094482421875000000000000000000000000e+01), SC_(-9.2019414901733398437500000000000000000000e-01), SC_(8.4156847340696781722447707160754173280841e+06) },
{ SC_(-9.5892852783203125000000000000000000000000e+01), SC_(-9.6531707763671875000000000000000000000000e+01), SC_(8.4735107421875000000000000000000000000000e+01), SC_(-7.3016166687011718750000000000000000000000e-01), SC_(-4.4717807146118951718858040781837872825985e-16) },
{ SC_(-9.4954376220703125000000000000000000000000e+01), SC_(-5.9686599731445312500000000000000000000000e+01), SC_(6.8441314697265625000000000000000000000000e+01), SC_(-9.4900083541870117187500000000000000000000e-01), SC_(-1.7276145800358599599760958115736468880647e-11) },
{ SC_(-9.3891815185546875000000000000000000000000e+01), SC_(-1.5204330444335937500000000000000000000000e+01), SC_(4.8814849853515625000000000000000000000000e+01), SC_(3.7960255146026611328125000000000000000000e-01), SC_(2.4552032940427998541423531520934032344423e+03) },
{ SC_(-9.3601806640625000000000000000000000000000e+01), SC_(-9.5872192382812500000000000000000000000000e+00), SC_(2.2942687988281250000000000000000000000000e+01), SC_(-2.9971241950988769531250000000000000000000e-02), SC_(2.7383928273420403328458561650200080754586e-01) },
{ SC_(-9.3479858398437500000000000000000000000000e+01), SC_(-8.7491363525390625000000000000000000000000e+01), SC_(1.2239959716796875000000000000000000000000e+01), SC_(-7.3687696456909179687500000000000000000000e-01), SC_(1.5973694221369750316833507490060101743881e+08) },
{ SC_(-9.2452239990234375000000000000000000000000e+01), SC_(7.6793701171875000000000000000000000000000e+01), SC_(7.7033599853515625000000000000000000000000e+01), SC_(9.1844320297241210937500000000000000000000e-01), SC_(4.2508459032690447851029931141763191686420e-49) },
{ SC_(-9.1513793945312500000000000000000000000000e+01), SC_(7.4361022949218750000000000000000000000000e+01), SC_(-8.5710906982421875000000000000000000000000e+01), SC_(8.6920523643493652343750000000000000000000e-01), SC_(1.5597155522468405412722593998443708684739e+62) },
{ SC_(-9.1469543457031250000000000000000000000000e+01), SC_(3.7243209838867187500000000000000000000000e+01), SC_(2.7039588928222656250000000000000000000000e+01), SC_(-5.3746747970581054687500000000000000000000e-01), SC_(1.9880343033721299184057983616668235260257e+20) },
{ SC_(-9.1395263671875000000000000000000000000000e+01), SC_(8.1686706542968750000000000000000000000000e+01), SC_(-6.6201995849609375000000000000000000000000e+01), SC_(6.1827445030212402343750000000000000000000e-01), SC_(1.5177192508688742444864029168560550139867e+38) },
{ SC_(-9.1109191894531250000000000000000000000000e+01), SC_(-4.6822494506835937500000000000000000000000e+01), SC_(5.0986648559570312500000000000000000000000e+01), SC_(8.3877134323120117187500000000000000000000e-01), SC_(8.7682696840405655306109200648215293456224e+14) },
{ SC_(-9.0310546875000000000000000000000000000000e+01), SC_(6.0442535400390625000000000000000000000000e+01), SC_(3.3583221435546875000000000000000000000000e+01), SC_(-3.3563292026519775390625000000000000000000e-01), SC_(4.0487268295423261389483401128099493869350e+16) },
{ SC_(-8.9464599609375000000000000000000000000000e+01), SC_(8.9315429687500000000000000000000000000000e+01), SC_(4.7571624755859375000000000000000000000000e+01), SC_(-6.6660356521606445312500000000000000000000e-01), SC_(2.5114952432008773418647344036287653320834e+28) },
{ SC_(-8.9152099609375000000000000000000000000000e+01), SC_(-2.6084045410156250000000000000000000000000e+01), SC_(-6.4578491210937500000000000000000000000000e+01), SC_(5.9371495246887207031250000000000000000000e-01), SC_(5.6850960900809898605288885711913335983141e-16) },
{ SC_(-8.8659057617187500000000000000000000000000e+01), SC_(6.7384948730468750000000000000000000000000e+00), SC_(4.3771362304687500000000000000000000000000e+00), SC_(-2.1086728572845458984375000000000000000000e-01), SC_(6.7662108559263781602895004977849861149020e+08) },
{ SC_(-8.8119354248046875000000000000000000000000e+01), SC_(8.0055007934570312500000000000000000000000e+00), SC_(-3.6837722778320312500000000000000000000000e+01), SC_(4.6050941944122314453125000000000000000000e-01), SC_(5.0186785654573089743217395843157810410248e+05) },
{ SC_(-8.8076232910156250000000000000000000000000e+01), SC_(9.0494384765625000000000000000000000000000e+01), SC_(3.6394378662109375000000000000000000000000e+01), SC_(6.9442033767700195312500000000000000000000e-02), SC_(-5.2328192081300292121812430756925613031667e-10) },
{ SC_(-8.7996246337890625000000000000000000000000e+01), SC_(2.5608551025390625000000000000000000000000e+01), SC_(7.3349975585937500000000000000000000000000e+01), SC_(8.3896517753601074218750000000000000000000e-01), SC_(1.3188033760477549843227638060915778305114e-09) },
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{ SC_(9.5736114501953125000000000000000000000000e+01), SC_(-5.3519927978515625000000000000000000000000e+01), SC_(4.2538894653320312500000000000000000000000e+01), SC_(4.9380838871002197265625000000000000000000e-01), SC_(1.3274237894747251485456216220236304092055e-22) },
{ SC_(9.6879638671875000000000000000000000000000e+01), SC_(8.3203552246093750000000000000000000000000e+01), SC_(7.1787750244140625000000000000000000000000e+01), SC_(-6.7365944385528564453125000000000000000000e-02), SC_(6.5291192310861813016026415306261568839384e-04) },
{ SC_(9.7586944580078125000000000000000000000000e+01), SC_(7.5212249755859375000000000000000000000000e+00), SC_(-6.5913604736328125000000000000000000000000e+01), SC_(8.2627701759338378906250000000000000000000e-01), SC_(1.2841453106427416732041190220022515999761e+185) },
{ SC_(9.7683563232421875000000000000000000000000e+01), SC_(4.3197174072265625000000000000000000000000e+01), SC_(7.9964141845703125000000000000000000000000e+00), SC_(-1.2916326522827148437500000000000000000000e-02), SC_(-5.6394291658700497271627531058640783271757e-04) },
{ SC_(9.9077941894531250000000000000000000000000e+01), SC_(4.4081039428710937500000000000000000000000e+01), SC_(-3.3581436157226562500000000000000000000000e+01), SC_(1.8215370178222656250000000000000000000000e-01), SC_(2.6061694718239368533142282610016493548641e+52) },
{ SC_(9.9816070556640625000000000000000000000000e+01), SC_(3.4842590332031250000000000000000000000000e+01), SC_(-6.5775787353515625000000000000000000000000e+01), SC_(4.7859513759613037109375000000000000000000e-01), SC_(7.8419089341931209199194984266724459574651e+118) }
}};
//#undef SC_

232
test/hypergeometric_2f2.ipp Normal file
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@@ -0,0 +1,232 @@
#ifndef SC_
# define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
#endif
static const boost::array<boost::array<T, 6>, 225> hypergeometric_2F2 = {{
{ SC_(-4.6568273925781250000000000000000000000000e+02), SC_(2.7491040039062500000000000000000000000000e+02), SC_(4.7700195312500000000000000000000000000000e+02), SC_(3.1730322265625000000000000000000000000000e+02), SC_(-1.3681353759765625000000000000000000000000e+02), SC_(1.8090668841695962735121297629318499805194e+42) },
{ SC_(-4.4878356933593750000000000000000000000000e+02), SC_(2.9519995117187500000000000000000000000000e+02), SC_(-4.6355883789062500000000000000000000000000e+02), SC_(-3.1312744140625000000000000000000000000000e+02), SC_(-9.1268829345703125000000000000000000000000e+01), SC_(-6.8305703866855163475715684044172076664493e+186) },
{ SC_(-4.2414575195312500000000000000000000000000e+02), SC_(-9.5791503906250000000000000000000000000000e+01), SC_(-4.4604992675781250000000000000000000000000e+02), SC_(-1.4723760986328125000000000000000000000000e+02), SC_(3.0797546386718750000000000000000000000000e+01), SC_(9.2516788163653291402462434856492902332269e+07) },
{ SC_(-4.0245959472656250000000000000000000000000e+02), SC_(4.7220581054687500000000000000000000000000e+01), SC_(-2.2150177001953125000000000000000000000000e+02), SC_(-3.1161804199218750000000000000000000000000e+02), SC_(4.6881469726562500000000000000000000000000e+01), SC_(1.5352181353921602046709701790928284442327e+88) },
{ SC_(-3.9334729003906250000000000000000000000000e+02), SC_(-1.4558105468750000000000000000000000000000e+00), SC_(4.6189807128906250000000000000000000000000e+02), SC_(4.7992565917968750000000000000000000000000e+02), SC_(-4.9536584472656250000000000000000000000000e+02), SC_(4.1127664690960577724128168628565875268818e-02) },
{ SC_(-3.9013830566406250000000000000000000000000e+02), SC_(-1.4624359130859375000000000000000000000000e+01), SC_(2.9810583496093750000000000000000000000000e+02), SC_(3.0028039550781250000000000000000000000000e+02), SC_(-2.0297058105468750000000000000000000000000e+02), SC_(-3.2405423559105211621315714057367775071572e-10) },
{ SC_(-3.8258239746093750000000000000000000000000e+02), SC_(-1.7503649902343750000000000000000000000000e+02), SC_(-2.0332415771484375000000000000000000000000e+02), SC_(1.5577990722656250000000000000000000000000e+02), SC_(-1.8122167968750000000000000000000000000000e+02), SC_(3.8354909652295819833106476659021099079105e+82) },
{ SC_(-3.7009387207031250000000000000000000000000e+02), SC_(-3.4556164550781250000000000000000000000000e+02), SC_(6.8823608398437500000000000000000000000000e+01), SC_(-1.0509176635742187500000000000000000000000e+02), SC_(-3.0609375000000000000000000000000000000000e+01), SC_(3.1341617923636314523220451439038061044124e+103) },
{ SC_(-3.6802673339843750000000000000000000000000e+02), SC_(-9.6985168457031250000000000000000000000000e+00), SC_(4.4205053710937500000000000000000000000000e+02), SC_(4.5494335937500000000000000000000000000000e+02), SC_(4.5613452148437500000000000000000000000000e+02), SC_(3.3844509595908982340003058676574433591601e+02) },
{ SC_(-3.6393151855468750000000000000000000000000e+02), SC_(3.0211145019531250000000000000000000000000e+02), SC_(3.6929211425781250000000000000000000000000e+02), SC_(-4.2244299316406250000000000000000000000000e+02), SC_(7.9704589843750000000000000000000000000000e+01), SC_(2.9973712146869363588906408000435531769989e+24) },
{ SC_(-3.4238696289062500000000000000000000000000e+02), SC_(2.2583898925781250000000000000000000000000e+02), SC_(4.7059277343750000000000000000000000000000e+02), SC_(4.8110961914062500000000000000000000000000e+02), SC_(4.5716699218750000000000000000000000000000e+02), SC_(3.5349925140498271067901257770469369222422e-75) },
{ SC_(-3.3781774902343750000000000000000000000000e+02), SC_(4.2749279785156250000000000000000000000000e+02), SC_(2.9428454589843750000000000000000000000000e+02), SC_(-6.3882446289062500000000000000000000000000e+01), SC_(-1.8878497314453125000000000000000000000000e+02), SC_(6.5059718319095428358961211161563226511058e+261) },
{ SC_(-3.3101000976562500000000000000000000000000e+02), SC_(3.0913720703125000000000000000000000000000e+02), SC_(1.4911547851562500000000000000000000000000e+02), SC_(-2.4170410156250000000000000000000000000000e+02), SC_(2.3172241210937500000000000000000000000000e+02), SC_(-1.9036391377806637778714360115412330090828e+199) },
{ SC_(-3.1648889160156250000000000000000000000000e+02), SC_(-1.1428948974609375000000000000000000000000e+02), SC_(-1.3151544189453125000000000000000000000000e+02), SC_(-1.5607025146484375000000000000000000000000e+02), SC_(1.2561859130859375000000000000000000000000e+02), SC_(-2.2647803812666968435830709155055083167865e+102) },
{ SC_(-3.0523571777343750000000000000000000000000e+02), SC_(-5.8776519775390625000000000000000000000000e+01), SC_(-2.7407824707031250000000000000000000000000e+02), SC_(-3.5217102050781250000000000000000000000000e+02), SC_(-3.2929199218750000000000000000000000000000e+02), SC_(4.9263998797519049365001615903230659768340e+57) },
{ SC_(-3.0044885253906250000000000000000000000000e+02), SC_(1.3249511718750000000000000000000000000000e+01), SC_(-3.6199865722656250000000000000000000000000e+02), SC_(-9.8191986083984375000000000000000000000000e+01), SC_(-1.1766705322265625000000000000000000000000e+02), SC_(-1.1402440428266599406329845908011742949449e+16) },
{ SC_(-3.0012719726562500000000000000000000000000e+02), SC_(3.2825561523437500000000000000000000000000e+01), SC_(4.4892504882812500000000000000000000000000e+02), SC_(-1.4927288818359375000000000000000000000000e+02), SC_(4.9010998535156250000000000000000000000000e+02), SC_(-8.2802792883592327098743193151793189562668e+51) },
{ SC_(-2.9225769042968750000000000000000000000000e+02), SC_(4.0138000488281250000000000000000000000000e+01), SC_(-1.9875366210937500000000000000000000000000e+02), SC_(-4.8154919433593750000000000000000000000000e+02), SC_(-2.9076660156250000000000000000000000000000e+01), SC_(4.3023564115466799741161627232928714247688e+01) },
{ SC_(-2.8807568359375000000000000000000000000000e+02), SC_(4.3399316406250000000000000000000000000000e+02), SC_(1.8135955810546875000000000000000000000000e+02), SC_(1.7873510742187500000000000000000000000000e+02), SC_(-1.0126147460937500000000000000000000000000e+02), SC_(7.6335788596686159020335593785181427594248e+78) },
{ SC_(-2.6522009277343750000000000000000000000000e+02), SC_(5.2881164550781250000000000000000000000000e+01), SC_(-1.4684143066406250000000000000000000000000e+02), SC_(-4.4684753417968750000000000000000000000000e+02), SC_(3.2119396972656250000000000000000000000000e+02), SC_(2.8099938553256444419794417735331437931667e+303) },
{ SC_(-2.6049755859375000000000000000000000000000e+02), SC_(-2.7233569335937500000000000000000000000000e+02), SC_(2.9965319824218750000000000000000000000000e+02), SC_(-6.4301300048828125000000000000000000000000e+01), SC_(-2.6984924316406250000000000000000000000000e+01), SC_(-8.0107317185818721255825742655375983959701e+38) },
{ SC_(-2.4704406738281250000000000000000000000000e+02), SC_(-3.1609228515625000000000000000000000000000e+02), SC_(4.7709960937500000000000000000000000000000e+00), SC_(-2.6004748535156250000000000000000000000000e+02), SC_(3.2260498046875000000000000000000000000000e+02), SC_(-1.1836297998213733058326723098984475672672e+166) },
{ SC_(-2.2724700927734375000000000000000000000000e+02), SC_(-9.6087860107421875000000000000000000000000e+01), SC_(-7.5580139160156250000000000000000000000000e+00), SC_(-4.0354553222656250000000000000000000000000e+02), SC_(-2.7658007812500000000000000000000000000000e+02), SC_(2.3408505139066532271316459421630307869796e+87) },
{ SC_(-2.2397491455078125000000000000000000000000e+02), SC_(2.0577423095703125000000000000000000000000e+02), SC_(1.7970269775390625000000000000000000000000e+02), SC_(-4.9718164062500000000000000000000000000000e+02), SC_(1.5509802246093750000000000000000000000000e+02), SC_(8.6822023586943617781984796912183537053591e+30) },
{ SC_(-2.1837268066406250000000000000000000000000e+02), SC_(-2.6271643066406250000000000000000000000000e+02), SC_(4.6864038085937500000000000000000000000000e+02), SC_(-4.1151153564453125000000000000000000000000e+01), SC_(-2.8622729492187500000000000000000000000000e+02), SC_(3.7567873848946006245925120666711493927607e+88) },
{ SC_(-2.1416101074218750000000000000000000000000e+02), SC_(1.7981976318359375000000000000000000000000e+02), SC_(2.5720019531250000000000000000000000000000e+02), SC_(-1.0767953491210937500000000000000000000000e+02), SC_(2.5372912597656250000000000000000000000000e+02), SC_(1.3561316373323201227118432798149688806052e+109) },
{ SC_(-2.0016827392578125000000000000000000000000e+02), SC_(-2.5647509765625000000000000000000000000000e+02), SC_(-4.8646093750000000000000000000000000000000e+02), SC_(4.2926367187500000000000000000000000000000e+02), SC_(-2.8276220703125000000000000000000000000000e+02), SC_(6.1626294987323710336471221352110848444241e+23) },
{ SC_(-1.9817272949218750000000000000000000000000e+02), SC_(4.4478723144531250000000000000000000000000e+02), SC_(-4.5205578613281250000000000000000000000000e+02), SC_(-9.1358947753906250000000000000000000000000e+00), SC_(-2.5215240478515625000000000000000000000000e+02), SC_(-7.3551112059747611758081912144782250496691e+132) },
{ SC_(-1.9365051269531250000000000000000000000000e+02), SC_(-3.9193811035156250000000000000000000000000e+02), SC_(8.5086669921875000000000000000000000000000e+00), SC_(-1.0641015625000000000000000000000000000000e+02), SC_(1.0771575927734375000000000000000000000000e+01), SC_(-4.1384279327506017243647033872337149714861e+91) },
{ SC_(-1.8889770507812500000000000000000000000000e+02), SC_(-4.1017687988281250000000000000000000000000e+02), SC_(4.2337963867187500000000000000000000000000e+02), SC_(1.4455053710937500000000000000000000000000e+02), SC_(-6.9792602539062500000000000000000000000000e+01), SC_(-2.2787574128602828267604156433544903254627e-33) },
{ SC_(-1.7748925781250000000000000000000000000000e+02), SC_(-4.8459655761718750000000000000000000000000e+02), SC_(-9.5018615722656250000000000000000000000000e+01), SC_(-4.5697619628906250000000000000000000000000e+02), SC_(4.0843359375000000000000000000000000000000e+02), SC_(-6.1309429675639581275953700138582019374755e+177) },
{ SC_(-1.5616046142578125000000000000000000000000e+02), SC_(-1.3075323486328125000000000000000000000000e+02), SC_(-4.6673144531250000000000000000000000000000e+02), SC_(-3.8879724121093750000000000000000000000000e+02), SC_(-3.3712792968750000000000000000000000000000e+02), SC_(5.0771533571105395112507671158341657849078e-21) },
{ SC_(-1.5001623535156250000000000000000000000000e+02), SC_(4.0736474609375000000000000000000000000000e+02), SC_(-3.0340478515625000000000000000000000000000e+02), SC_(3.4846777343750000000000000000000000000000e+02), SC_(-2.4891619873046875000000000000000000000000e+02), SC_(2.4661963280733500827838102392456694588594e-19) },
{ SC_(-1.4834051513671875000000000000000000000000e+02), SC_(-4.3240466308593750000000000000000000000000e+02), SC_(3.3082861328125000000000000000000000000000e+02), SC_(2.9359753417968750000000000000000000000000e+02), SC_(8.5264099121093750000000000000000000000000e+01), SC_(1.7801276690066621389763062605734642527988e+18) },
{ SC_(-1.1270410156250000000000000000000000000000e+02), SC_(-4.8809802246093750000000000000000000000000e+02), SC_(2.2695471191406250000000000000000000000000e+02), SC_(-1.6287738037109375000000000000000000000000e+02), SC_(-1.1143020629882812500000000000000000000000e+02), SC_(2.5407237979811772888083637388715258370934e+45) },
{ SC_(-1.1138482666015625000000000000000000000000e+02), SC_(1.2247509765625000000000000000000000000000e+02), SC_(2.7968933105468750000000000000000000000000e+02), SC_(8.7044738769531250000000000000000000000000e+01), SC_(-2.3361907958984375000000000000000000000000e+01), SC_(1.5591866626930230847619035616477113126324e+05) },
{ SC_(-7.9810058593750000000000000000000000000000e+01), SC_(-7.5833221435546875000000000000000000000000e+01), SC_(2.8190917968750000000000000000000000000000e+02), SC_(7.8582763671875000000000000000000000000000e+00), SC_(-3.8680749511718750000000000000000000000000e+02), SC_(3.1682075946920874259619218678195880254105e+18) },
{ SC_(-6.8586181640625000000000000000000000000000e+01), SC_(2.4994097900390625000000000000000000000000e+02), SC_(4.1064758300781250000000000000000000000000e+02), SC_(-3.6700402832031250000000000000000000000000e+02), SC_(-3.1815307617187500000000000000000000000000e+02), SC_(1.4636978438673048081222495699492837883393e-19) },
{ SC_(-6.1255645751953125000000000000000000000000e+01), SC_(-3.7410339355468750000000000000000000000000e+02), SC_(-1.1844155883789062500000000000000000000000e+02), SC_(-2.8979101562500000000000000000000000000000e+02), SC_(2.6551684570312500000000000000000000000000e+02), SC_(-7.8230935989066580429653289617001765644549e+183) },
{ SC_(-5.2415618896484375000000000000000000000000e+01), SC_(-4.2182446289062500000000000000000000000000e+02), SC_(3.5445092773437500000000000000000000000000e+02), SC_(-5.7321716308593750000000000000000000000000e+01), SC_(1.0423150634765625000000000000000000000000e+02), SC_(-8.5059667452233162170710384161543101987392e+29) },
{ SC_(-4.9458404541015625000000000000000000000000e+01), SC_(2.2049340820312500000000000000000000000000e+02), SC_(-4.1617871093750000000000000000000000000000e+02), SC_(4.1257751464843750000000000000000000000000e+02), SC_(-2.7102307128906250000000000000000000000000e+02), SC_(2.4834063262581430275237945230018644021825e-09) },
{ SC_(-1.8627311706542968750000000000000000000000e+01), SC_(1.0996417999267578125000000000000000000000e+01), SC_(1.9080078125000000000000000000000000000000e+01), SC_(1.2692131042480468750000000000000000000000e+01), SC_(-1.3681354522705078125000000000000000000000e+01), SC_(3.6751390679881780406349329643661305621334e+03) },
{ SC_(-1.7951347351074218750000000000000000000000e+01), SC_(1.1807994842529296875000000000000000000000e+01), SC_(-1.8542350769042968750000000000000000000000e+01), SC_(-1.2525096893310546875000000000000000000000e+01), SC_(-9.1268844604492187500000000000000000000000e+00), SC_(-1.7687038523433296094129998013347882530319e+13) },
{ SC_(-1.6965827941894531250000000000000000000000e+01), SC_(-3.8316593170166015625000000000000000000000e+00), SC_(-1.7841995239257812500000000000000000000000e+01), SC_(-5.8895034790039062500000000000000000000000e+00), SC_(3.0797538757324218750000000000000000000000e+00), SC_(5.5236210164786761723805549200949098478720e+00) },
{ SC_(-1.6098388671875000000000000000000000000000e+01), SC_(1.8888244628906250000000000000000000000000e+00), SC_(-8.8600730895996093750000000000000000000000e+00), SC_(-1.2464721679687500000000000000000000000000e+01), SC_(4.6881484985351562500000000000000000000000e+00), SC_(-1.8910581975528168923461492534054131746917e+07) },
{ SC_(-1.5733890533447265625000000000000000000000e+01), SC_(-5.8233261108398437500000000000000000000000e-02), SC_(1.8475921630859375000000000000000000000000e+01), SC_(1.9197021484375000000000000000000000000000e+01), SC_(-4.9536590576171875000000000000000000000000e+01), SC_(2.6685174882546217381592108253547251888832e-01) },
{ SC_(-1.5605529785156250000000000000000000000000e+01), SC_(-5.8497428894042968750000000000000000000000e-01), SC_(1.1924232482910156250000000000000000000000e+01), SC_(1.2011219024658203125000000000000000000000e+01), SC_(-2.0297058105468750000000000000000000000000e+01), SC_(-1.5687855528156399379254986039503382258811e+00) },
{ SC_(-1.4803752899169921875000000000000000000000e+01), SC_(-1.3822463989257812500000000000000000000000e+01), SC_(2.7529449462890625000000000000000000000000e+00), SC_(-4.2036724090576171875000000000000000000000e+00), SC_(-3.0609359741210937500000000000000000000000e+00), SC_(2.8280017990266024953860806250565586782993e+06) },
{ SC_(-1.4324546813964843750000000000000000000000e+01), SC_(-1.9808662414550781250000000000000000000000e+01), SC_(-3.1295490264892578125000000000000000000000e+00), SC_(-1.5501419067382812500000000000000000000000e+01), SC_(4.1573547363281250000000000000000000000000e+01), SC_(5.3507698277232744612911246975329367495926e+18) },
{ SC_(-1.3695476531982421875000000000000000000000e+01), SC_(9.0335578918457031250000000000000000000000e+00), SC_(1.8823707580566406250000000000000000000000e+01), SC_(1.9244384765625000000000000000000000000000e+01), SC_(4.5716690063476562500000000000000000000000e+01), SC_(8.9653602774702110550509642806029311195812e-07) },
{ SC_(-1.3512710571289062500000000000000000000000e+01), SC_(1.7099716186523437500000000000000000000000e+01), SC_(1.1771381378173828125000000000000000000000e+01), SC_(-2.5552978515625000000000000000000000000000e+00), SC_(-1.8878501892089843750000000000000000000000e+01), SC_(-1.1425936735999661759491083140643484242620e+14) },
{ SC_(-1.1523029327392578125000000000000000000000e+01), SC_(1.7359725952148437500000000000000000000000e+01), SC_(7.2543811798095703125000000000000000000000e+00), SC_(7.1494064331054687500000000000000000000000e+00), SC_(-1.0126148223876953125000000000000000000000e+01), SC_(3.1188254333031303283939625268251776375286e+05) },
{ SC_(-1.0747375488281250000000000000000000000000e+01), SC_(4.4056091308593750000000000000000000000000e+01), SC_(-1.6228057861328125000000000000000000000000e+02), SC_(3.8772607421875000000000000000000000000000e+02), SC_(4.0005383300781250000000000000000000000000e+02), SC_(1.2928438043146538099417152984039596095350e+94) },
{ SC_(-1.0235595703125000000000000000000000000000e+01), SC_(-4.2010833740234375000000000000000000000000e+01), SC_(-5.4413787841796875000000000000000000000000e+01), SC_(-1.2431091308593750000000000000000000000000e+01), SC_(1.4631298828125000000000000000000000000000e+02), SC_(3.4701354908999115590091902750783186033780e+68) },
{ SC_(-8.9589996337890625000000000000000000000000e+00), SC_(8.2309684753417968750000000000000000000000e+00), SC_(7.1881084442138671875000000000000000000000e+00), SC_(-1.9887268066406250000000000000000000000000e+01), SC_(1.5509803771972656250000000000000000000000e+01), SC_(-4.3237352986882628804839936405647982127470e+04) },
{ SC_(-8.5664405822753906250000000000000000000000e+00), SC_(7.1927909851074218750000000000000000000000e+00), SC_(1.0288009643554687500000000000000000000000e+01), SC_(-4.3071823120117187500000000000000000000000e+00), SC_(2.5372909545898437500000000000000000000000e+01), SC_(1.8684547238250746358774439736622029267924e+08) },
{ SC_(-8.0067329406738281250000000000000000000000e+00), SC_(-1.0259002685546875000000000000000000000000e+01), SC_(-1.9458435058593750000000000000000000000000e+01), SC_(1.7170547485351562500000000000000000000000e+01), SC_(-2.8276214599609375000000000000000000000000e+01), SC_(8.5293208391086791535872539297835549903288e+01) },
{ SC_(-6.0006504058837890625000000000000000000000e+00), SC_(1.6294586181640625000000000000000000000000e+01), SC_(-1.2136192321777343750000000000000000000000e+01), SC_(1.3938709259033203125000000000000000000000e+01), SC_(-2.4891616821289062500000000000000000000000e+01), SC_(1.5312214555852661612440960675897860485169e+02) },
{ SC_(-5.9336204528808593750000000000000000000000e+00), SC_(-1.7296188354492187500000000000000000000000e+01), SC_(1.3233142852783203125000000000000000000000e+01), SC_(1.1743904113769531250000000000000000000000e+01), SC_(8.5264091491699218750000000000000000000000e+00), SC_(2.9760479244064796094934430105832493400564e+01) },
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{ SC_(1.0309604644775390625000000000000000000000e+01), SC_(9.6258888244628906250000000000000000000000e+00), SC_(9.7252998352050781250000000000000000000000e+00), SC_(-1.0096530914306640625000000000000000000000e+00), SC_(-1.0777297973632812500000000000000000000000e+01), SC_(-5.4727991260600594818622693500786843572669e+00) },
{ SC_(1.0469245910644531250000000000000000000000e+01), SC_(-1.4028240203857421875000000000000000000000e+01), SC_(-1.0793758392333984375000000000000000000000e+01), SC_(-9.6996726989746093750000000000000000000000e+00), SC_(3.0973449707031250000000000000000000000000e+01), SC_(4.2053633464978874215146276066756456822620e+31) },
{ SC_(1.0549999237060546875000000000000000000000e+01), SC_(1.8008880615234375000000000000000000000000e+01), SC_(-3.7643814086914062500000000000000000000000e-01), SC_(-1.8622161865234375000000000000000000000000e+01), SC_(1.6360549926757812500000000000000000000000e+01), SC_(6.1730386523387868549145902183216998125762e+41) },
{ SC_(1.1758998870849609375000000000000000000000e+01), SC_(8.3745918273925781250000000000000000000000e+00), SC_(1.6834991455078125000000000000000000000000e+01), SC_(1.0187465667724609375000000000000000000000e+01), SC_(3.0753097534179687500000000000000000000000e+01), SC_(6.1192819294685935939514571900373511125331e+09) },
{ SC_(1.2588947296142578125000000000000000000000e+01), SC_(-1.4580921173095703125000000000000000000000e+01), SC_(1.6231674194335937500000000000000000000000e+01), SC_(1.3400341033935546875000000000000000000000e+01), SC_(-3.7301330566406250000000000000000000000000e+01), SC_(2.6610626120927005151151193991881863075756e+06) },
{ SC_(1.2938312530517578125000000000000000000000e+01), SC_(1.2876132965087890625000000000000000000000e+01), SC_(7.7931442260742187500000000000000000000000e+00), SC_(-1.4992691040039062500000000000000000000000e+01), SC_(-1.8290054321289062500000000000000000000000e+01), SC_(-8.1798659794806390896341908977435271892929e+06) },
{ SC_(1.3032680511474609375000000000000000000000e+01), SC_(-1.5010318756103515625000000000000000000000e+00), SC_(1.5336971282958984375000000000000000000000e+00), SC_(1.8636779785156250000000000000000000000000e+00), SC_(4.9613464355468750000000000000000000000000e+01), SC_(9.6240419641050879480209931027942787358191e+26) },
{ SC_(1.3628688812255859375000000000000000000000e+01), SC_(1.9540863037109375000000000000000000000000e+01), SC_(-9.8287124633789062500000000000000000000000e+00), SC_(-6.7020702362060546875000000000000000000000e+00), SC_(3.1428482055664062500000000000000000000000e+01), SC_(-2.9533080314394465178416446450559211163004e+64) },
{ SC_(1.4507125854492187500000000000000000000000e+01), SC_(1.1413269042968750000000000000000000000000e+00), SC_(4.8143997192382812500000000000000000000000e+00), SC_(-1.3374053955078125000000000000000000000000e+01), SC_(-3.8045288085937500000000000000000000000000e+01), SC_(-8.9270957135964855777864231951497515160700e-02) },
{ SC_(1.4747787475585937500000000000000000000000e+01), SC_(7.1807880401611328125000000000000000000000e+00), SC_(-1.6622566223144531250000000000000000000000e+01), SC_(-6.1506652832031250000000000000000000000000e+00), SC_(-1.0021736145019531250000000000000000000000e+01), SC_(-7.8142849034366732539572238729342407894153e+14) },
{ SC_(1.4897151947021484375000000000000000000000e+01), SC_(-1.8153144836425781250000000000000000000000e+01), SC_(-1.4035442352294921875000000000000000000000e+01), SC_(-1.6114730834960937500000000000000000000000e+01), SC_(4.9406845092773437500000000000000000000000e+01), SC_(-6.8326571052989051410923776720682169004023e+51) },
{ SC_(1.5070297241210937500000000000000000000000e+01), SC_(3.4107093811035156250000000000000000000000e+00), SC_(1.2327018737792968750000000000000000000000e+01), SC_(-1.1047523498535156250000000000000000000000e+01), SC_(-4.8222610473632812500000000000000000000000e+01), SC_(-9.0819742729695319553008618079011493034431e-02) },
{ SC_(1.7602958679199218750000000000000000000000e+01), SC_(7.9630680084228515625000000000000000000000e+00), SC_(-3.4933395385742187500000000000000000000000e+00), SC_(1.5636131286621093750000000000000000000000e+01), SC_(-7.6834869384765625000000000000000000000000e+00), SC_(1.4819504760088829624306068109981132052918e+01) },
{ SC_(1.8200698852539062500000000000000000000000e+01), SC_(4.6417884826660156250000000000000000000000e+00), SC_(1.1155906677246093750000000000000000000000e+01), SC_(-1.0684471130371093750000000000000000000000e+00), SC_(4.8745956420898437500000000000000000000000e+01), SC_(8.2333014766683380658500736752922662913969e+35) },
{ SC_(1.8371650695800781250000000000000000000000e+01), SC_(3.2382678985595703125000000000000000000000e+00), SC_(1.8886203765869140625000000000000000000000e+00), SC_(-1.3677696228027343750000000000000000000000e+01), SC_(-3.6137557983398437500000000000000000000000e+01), SC_(8.7300051886749816455465127014758220630644e+03) },
{ SC_(1.8754707336425781250000000000000000000000e+01), SC_(1.6535034179687500000000000000000000000000e+01), SC_(-1.1158638000488281250000000000000000000000e+01), SC_(5.2943706512451171875000000000000000000000e+00), SC_(-1.9183296203613281250000000000000000000000e+01), SC_(1.7429133108056441106447473558858049597528e+08) },
{ SC_(1.9715248107910156250000000000000000000000e+01), SC_(1.8300270080566406250000000000000000000000e+01), SC_(1.9858451843261718750000000000000000000000e+01), SC_(1.8595535278320312500000000000000000000000e+01), SC_(4.6769485473632812500000000000000000000000e+01), SC_(1.1809819624735874941138601211320937112985e+20) },
{ SC_(2.9841979980468750000000000000000000000000e+01), SC_(1.8921453857421875000000000000000000000000e+02), SC_(2.1610070800781250000000000000000000000000e+02), SC_(2.4815161132812500000000000000000000000000e+02), SC_(4.8837939453125000000000000000000000000000e+02), SC_(1.1234842046645656478399433357722102843208e+63) },
{ SC_(6.1557495117187500000000000000000000000000e+01), SC_(-1.1955416870117187500000000000000000000000e+02), SC_(-2.9193200683593750000000000000000000000000e+02), SC_(6.7821594238281250000000000000000000000000e+01), SC_(2.7371459960937500000000000000000000000000e+01), SC_(2.1674477111723030285923492008898849878320e+04) },
{ SC_(9.4503601074218750000000000000000000000000e+01), SC_(4.9723632812500000000000000000000000000000e+01), SC_(2.3279870605468750000000000000000000000000e+02), SC_(4.1719360351562500000000000000000000000000e+02), SC_(1.9523284912109375000000000000000000000000e+02), SC_(4.5853070760608922987397680746647819058985e+04) },
{ SC_(9.4896057128906250000000000000000000000000e+01), SC_(-5.0443908691406250000000000000000000000000e+01), SC_(-2.3778826904296875000000000000000000000000e+02), SC_(-4.5794592285156250000000000000000000000000e+02), SC_(1.0284307861328125000000000000000000000000e+02), SC_(-4.1286224390518503050086482630597284841834e+164) },
{ SC_(1.2343554687500000000000000000000000000000e+02), SC_(-3.1104504394531250000000000000000000000000e+02), SC_(3.1187390136718750000000000000000000000000e+02), SC_(1.8677545166015625000000000000000000000000e+02), SC_(-1.8749200439453125000000000000000000000000e+02), SC_(4.9969504891988273564692350858428032034076e+43) },
{ SC_(1.3306365966796875000000000000000000000000e+02), SC_(-3.1518371582031250000000000000000000000000e+02), SC_(8.4382263183593750000000000000000000000000e+01), SC_(4.0488085937500000000000000000000000000000e+02), SC_(2.2665441894531250000000000000000000000000e+02), SC_(-4.8867065198344074982296348271251953749483e-78) },
{ SC_(1.3976336669921875000000000000000000000000e+02), SC_(2.9220727539062500000000000000000000000000e+02), SC_(3.7843066406250000000000000000000000000000e+02), SC_(4.5949243164062500000000000000000000000000e+02), SC_(3.6627197265625000000000000000000000000000e+00), SC_(2.3687914145194196830239194979923629978246e+00) },
{ SC_(1.5196862792968750000000000000000000000000e+02), SC_(7.5208618164062500000000000000000000000000e+01), SC_(2.5750354003906250000000000000000000000000e+02), SC_(-4.4022045898437500000000000000000000000000e+02), SC_(-6.4754302978515625000000000000000000000000e+01), SC_(1.0561036580393381996970837387609820091821e+03) },
{ SC_(2.0732153320312500000000000000000000000000e+02), SC_(-2.4193530273437500000000000000000000000000e+02), SC_(-3.3767150878906250000000000000000000000000e+02), SC_(-9.1280151367187500000000000000000000000000e+01), SC_(-3.6626367187500000000000000000000000000000e+02), SC_(8.0908024626992620813895438253149816247800e+255) },
{ SC_(2.1070385742187500000000000000000000000000e+02), SC_(-3.3738830566406250000000000000000000000000e+02), SC_(1.4396093750000000000000000000000000000000e+02), SC_(-3.8100231933593750000000000000000000000000e+02), SC_(-4.3967193603515625000000000000000000000000e+01), SC_(1.5431372244833444989774945930181751954140e-28) },
{ SC_(2.3033087158203125000000000000000000000000e+02), SC_(-3.9926159667968750000000000000000000000000e+02), SC_(-1.1391021728515625000000000000000000000000e+01), SC_(-1.5567205810546875000000000000000000000000e+02), SC_(7.8525085449218750000000000000000000000000e+01), SC_(5.9363148120112755714166978250790490055026e+231) },
{ SC_(2.5126708984375000000000000000000000000000e+02), SC_(3.2124597167968750000000000000000000000000e+02), SC_(-2.4490490722656250000000000000000000000000e+02), SC_(3.2084069824218750000000000000000000000000e+02), SC_(5.9570617675781250000000000000000000000000e+00), SC_(2.5412476580675151610198476612848155687784e-03) },
{ SC_(2.5774011230468750000000000000000000000000e+02), SC_(2.4064727783203125000000000000000000000000e+02), SC_(2.4313244628906250000000000000000000000000e+02), SC_(-2.5241302490234375000000000000000000000000e+01), SC_(-1.0777297973632812500000000000000000000000e+02), SC_(-5.5482592911765229670127582592804835964237e+07) },
{ SC_(2.6293139648437500000000000000000000000000e+02), SC_(-4.7077978515625000000000000000000000000000e+02), SC_(-2.3407934570312500000000000000000000000000e+02), SC_(4.2885412597656250000000000000000000000000e+02), SC_(-2.5586175537109375000000000000000000000000e+02), SC_(-1.5934527454871155849403111121808288778568e+269) },
{ SC_(2.9397497558593750000000000000000000000000e+02), SC_(2.0936480712890625000000000000000000000000e+02), SC_(4.2087475585937500000000000000000000000000e+02), SC_(2.5468664550781250000000000000000000000000e+02), SC_(3.0753100585937500000000000000000000000000e+02), SC_(5.9304523939573133871694979988794115377472e+87) },
{ SC_(3.1472363281250000000000000000000000000000e+02), SC_(-3.6452307128906250000000000000000000000000e+02), SC_(4.0579187011718750000000000000000000000000e+02), SC_(3.3500854492187500000000000000000000000000e+02), SC_(-3.7301318359375000000000000000000000000000e+02), SC_(5.9267564106025601167440826043367866028487e+87) },
{ SC_(3.1576904296875000000000000000000000000000e+02), SC_(2.8022741699218750000000000000000000000000e+02), SC_(1.6928509521484375000000000000000000000000e+02), SC_(-4.1887426757812500000000000000000000000000e+02), SC_(-1.2058114624023437500000000000000000000000e+02), SC_(-5.0454599088085062279202352416045361107404e+89) },
{ SC_(3.2581701660156250000000000000000000000000e+02), SC_(-3.7525817871093750000000000000000000000000e+01), SC_(3.8342407226562500000000000000000000000000e+01), SC_(4.6591918945312500000000000000000000000000e+01), SC_(4.9613464355468750000000000000000000000000e+02), SC_(1.1393652562647513959661812709276943653070e+276) },
{ SC_(3.5303112792968750000000000000000000000000e+02), SC_(3.3933105468750000000000000000000000000000e+01), SC_(1.2205511474609375000000000000000000000000e+02), SC_(-6.1333190917968750000000000000000000000000e+01), SC_(-1.4904760742187500000000000000000000000000e+02), SC_(1.2828144126059547362039134142446288034034e-10) },
{ SC_(3.5587512207031250000000000000000000000000e+02), SC_(-2.4012957763671875000000000000000000000000e+02), SC_(-4.5494055175781250000000000000000000000000e+02), SC_(3.0006848144531250000000000000000000000000e+02), SC_(1.6011944580078125000000000000000000000000e+02), SC_(4.3428388682870413894831054141491862458551e+38) },
{ SC_(4.0018322753906250000000000000000000000000e+02), SC_(-2.6951184082031250000000000000000000000000e+02), SC_(-3.0550463867187500000000000000000000000000e+02), SC_(3.4430871582031250000000000000000000000000e+02), SC_(3.8599804687500000000000000000000000000000e+02), SC_(6.5613961348691474586046824924000243590375e+176) },
{ SC_(4.2938598632812500000000000000000000000000e+02), SC_(-4.1503112792968750000000000000000000000000e+01), SC_(2.7571264648437500000000000000000000000000e+02), SC_(-1.9638604736328125000000000000000000000000e+02), SC_(-1.3208374023437500000000000000000000000000e+01), SC_(1.0571107981734581663978880846581759853793e-02) },
{ SC_(4.3900158691406250000000000000000000000000e+02), SC_(-2.5992407226562500000000000000000000000000e+02), SC_(3.7594274902343750000000000000000000000000e+02), SC_(-4.8347949218750000000000000000000000000000e+02), SC_(5.0156372070312500000000000000000000000000e+01), SC_(1.6617273173940173749692119011363235352267e+13) },
{ SC_(4.4007397460937500000000000000000000000000e+02), SC_(1.9907672119140625000000000000000000000000e+02), SC_(-8.7333465576171875000000000000000000000000e+01), SC_(3.9090319824218750000000000000000000000000e+02), SC_(-7.6834899902343750000000000000000000000000e+01), SC_(-1.3494188431073248493790028245922157972036e+39) },
{ SC_(4.6308850097656250000000000000000000000000e+02), SC_(1.0592816162109375000000000000000000000000e+02), SC_(4.6805725097656250000000000000000000000000e+01), SC_(-2.7344873046875000000000000000000000000000e+02), SC_(2.1135803222656250000000000000000000000000e+01), SC_(3.6785304966163030487123076706740434930886e+91) },
{ SC_(4.7974829101562500000000000000000000000000e+02), SC_(-1.4536187744140625000000000000000000000000e+02), SC_(-6.1130004882812500000000000000000000000000e+01), SC_(1.8040661621093750000000000000000000000000e+02), SC_(-3.8888085937500000000000000000000000000000e+02), SC_(3.5538673162086016498889909145538731312179e+224) },
{ SC_(4.9288122558593750000000000000000000000000e+02), SC_(4.5750683593750000000000000000000000000000e+02), SC_(4.9646130371093750000000000000000000000000e+02), SC_(4.6488842773437500000000000000000000000000e+02), SC_(4.6769494628906250000000000000000000000000e+02), SC_(7.0894449011388970455969152120597029644315e+199) }
}};
//#undef SC_

151
test/test_pFq.cpp
View File

@@ -7,159 +7,8 @@
#include <boost/multiprecision/cpp_bin_float.hpp>
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
const char* largest_type;
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
{
largest_type = "(long\\s+)?double|real_concept|cpp_bin_float_quad|dec_40|cpp_bin_float_double_extended";
}
else
{
largest_type = "long double|real_concept|cpp_bin_float_quad|dec_40|cpp_bin_float_double_extended";
}
#else
largest_type = "(long\\s+)?double";
#endif
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"cpp_bin_float_quad|cpp_bin_float_double_extended", // test type(s)
"Integer a values", // test data group
".*", 25000, 800); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"cpp_bin_float_quad|cpp_bin_float_double_extended", // test type(s)
"Large.*", // test data group
".*", 500000, 20000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"cpp_bin_float_quad|cpp_bin_float_double_extended", // test type(s)
"Small.*", // test data group
".*", 2000, 200); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"dec_40", // test type(s)
"Integer a values", // test data group
".*", 12000, 800); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"dec_40", // test type(s)
"Large.*", // test data group
".*", 20000000L, 600000L); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"dec_40", // test type(s)
"Small.*", // test data group
".*", 1000, 300); // test function
#if (LDBL_MANT_DIG < DBL_MANT_DIG * 2) && (LDBL_MANT_DIG != DBL_MANT_DIG)
//
// long double has only a little extra precision and errors may creep
// into the double results:
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"double", // test type(s)
"Integer a values", // test data group
".*", 5, 3); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"double", // test type(s)
"Small.*", // test data group
".*", 5, 3); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"double", // test type(s)
"Large.*", // test data group
".*", 40, 20); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"double", // test type(s)
"Bug.*", // test data group
".*", 300, 50); // test function
#endif
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
"Integer a values", // test data group
".*", 16000, 600); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
"Small.*", // test data group
".*", 2000, 200); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
"Large.*", // test data group
".*", 400000, 8000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"dec_40", // test type(s)
"Bug cases.*", // test data group
".*", 2200000, 400000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
"Bug cases.*", // test data group
".*", 1500000, 400000); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
BOOST_AUTO_TEST_CASE( test_main )
{
expected_results();
BOOST_MATH_CONTROL_FP;
#if !defined(TEST) || (TEST == 2)
test_spots(0.0F, "float");
#endif

94
test/test_pFq.hpp
View File

@@ -45,6 +45,22 @@ bool is_small_a(const Seq& a)
return false;
}
template <class Seq>
bool has_negative_ab(const Seq& a, const Seq& b)
{
for(auto p = a.begin(); p != a.end(); ++p)
{
if(*p < 0)
return true;
}
for(auto p = b.begin(); p != b.end(); ++p)
{
if(*p < 0)
return true;
}
return false;
}
template <class T>
void check_pFq_result(const T& result, const T& norm, const T& expect, const std::initializer_list<T>& a, const std::initializer_list<T>& b, const T& z)
{
@@ -61,9 +77,15 @@ void check_pFq_result(const T& result, const T& norm, const T& expect, const std
T fudge_factor = 25;
if (is_small_a(a))
fudge_factor *= 4; // not sure why??
if (((err > fudge_factor * found_err) && (found_err < 1) || (boost::math::isnan)(found_err)) && (!(boost::math::isinf)(result)))
if ((has_negative_ab(a, b)) || ((a.size() == 2) && (b.size() == 1)) || (boost::math::tools::epsilon<T>() < boost::math::tools::epsilon<double>()))
{
std::cout << "Found error = " << err << " expected = " << found_err << std::endl;
T min_err = boost::math::tools::epsilon<T>() * 600 / found_err;
fudge_factor = (std::max)(fudge_factor, min_err);
}
if ((((err > fudge_factor * found_err) && (found_err < 1)) || (boost::math::isnan)(found_err)) && (!(boost::math::isinf)(result)))
{
std::cout << "Found error = " << err << " error from norm = " << found_err << std::endl;
std::cout << "Testing fudge factor = " << fudge_factor << std::endl;
std::cout << " a = ";
for (auto pa = a.begin(); pa != a.end(); ++pa)
std::cout << *pa << ",";
@@ -210,6 +232,70 @@ void test_spots_1F1_b(T, const char*)
}
}
template <class T>
void test_spots_2F1(T, const char*)
{
#include "hypergeometric_2F1.ipp"
for (auto row = hypergeometric_2F1.begin(); row != hypergeometric_2F1.end(); ++row)
{
try {
T norm;
T result = boost::math::hypergeometric_pFq({ (*row)[0], (*row)[1] }, { (*row)[2] }, (*row)[3], &norm);
check_pFq_result(result, norm, (*row)[4], { (*row)[0], (*row)[1] }, { (*row)[2] }, (*row)[3]);
}
catch (const boost::math::evaluation_error&) {}
}
}
template <class T>
void test_spots_0F2(T, const char*)
{
#include "hypergeometric_0F2.ipp"
for (auto row = hypergeometric_0F2.begin(); row != hypergeometric_0F2.end(); ++row)
{
try {
T norm;
T result = boost::math::hypergeometric_pFq({}, { (*row)[0], (*row)[1] }, (*row)[2], &norm);
check_pFq_result(result, norm, (*row)[3], {}, { (*row)[0], (*row)[1] }, (*row)[2]);
}
catch (const boost::math::evaluation_error&) {}
}
}
template <class T>
void test_spots_1F2(T, const char*)
{
#include "hypergeometric_1F2.ipp"
for (auto row = hypergeometric_1F2.begin(); row != hypergeometric_1F2.end(); ++row)
{
try {
T norm;
T result = boost::math::hypergeometric_pFq({ (*row)[0] }, { (*row)[1], (*row)[2] }, (*row)[3], &norm);
check_pFq_result(result, norm, (*row)[4], { (*row)[0] }, { (*row)[1], (*row)[2] }, (*row)[3]);
}
catch (const boost::math::evaluation_error&) {}
}
}
template <class T>
void test_spots_2F2(T, const char*)
{
#include "hypergeometric_2F2.ipp"
for (auto row = hypergeometric_2F2.begin(); row != hypergeometric_2F2.end(); ++row)
{
try {
T norm;
T result = boost::math::hypergeometric_pFq({ (*row)[0], (*row)[1] }, { (*row)[2], (*row)[3] }, (*row)[4], &norm);
check_pFq_result(result, norm, (*row)[5], { (*row)[0], (*row)[1] }, { (*row)[2], (*row)[3] }, (*row)[4]);
}
catch (const boost::math::evaluation_error&) {}
}
}
template <class T>
void test_spots(T z, const char* type_name)
{
@@ -217,4 +303,8 @@ void test_spots(T z, const char* type_name)
test_spots_0F1(z, type_name);
test_spots_1F1(z, type_name);
test_spots_1F1_b(z, type_name);
test_spots_0F2(z, type_name);
test_spots_1F2(z, type_name);
test_spots_2F2(z, type_name);
test_spots_2F1(z, type_name);
}

113
tools/hyp_0f2_data.cpp Normal file
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@@ -0,0 +1,113 @@
// (C) Copyright John Maddock 2006.
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
#define BOOST_MATH_MAX_SERIES_ITERATION_POLICY 10000000
#include <boost/math/constants/constants.hpp>
#include <boost/lexical_cast.hpp>
#include <fstream>
#include <map>
#include <boost/math/tools/test_data.hpp>
#include <boost/random.hpp>
#include "mp_t.hpp"
using namespace boost::math::tools;
using namespace boost::math;
using namespace std;
struct hypergeometric_0f2_gen
{
mp_t operator()(mp_t b1, mp_t b2, mp_t z)
{
mp_t result = 0;
mp_t abs_result = 0;
mp_t term = 1;
mp_t k = 0;
do
{
result += term;
abs_result += fabs(term);
if (fabs(result) * boost::math::tools::epsilon<mp_t>() > fabs(term))
break;
++k;
term /= b1++;
term /= b2++;
term /= k;
term *= z;
} while (true);
//
// check precision:
//
if (abs_result * boost::math::tools::epsilon<mp_t>() / fabs(result) > 1e-40)
throw std::domain_error("Unable to calculate result");
std::cout << b1 << " " << b2 << " " << z << " " << result << std::endl;
return result;
}
};
int main(int, char* [])
{
parameter_info<mp_t> arg1, arg2, arg3, arg4;
test_data<mp_t> data;
std::cout << "Welcome.\n"
"This program will generate spot tests for 2F0:\n";
std::string line;
bool cont = true;
while (cont)
{
float range;
std::cout << "Enter the range to calculate over for b1 and b2 (single value, range will be -x to x): ";
std::cin >> range;
float z_range;
std::cout << "Enter the range to calculate over for z (single value, range will be -x to x): ";
std::cin >> z_range;
int num_spots;
std::cout << "Enter how many test points to calculate: ";
std::cin >> num_spots;
std::vector<mp_t> v;
random_ns::mt19937 rnd;
random_ns::uniform_real_distribution<float> ur_a(-range, range);
random_ns::uniform_real_distribution<float> ur_z(-z_range, z_range);
do
{
mp_t b1 = ur_a(rnd);
mp_t b2 = ur_a(rnd);
mp_t z = ur_z(rnd);
arg1 = make_single_param(b1);
arg2 = make_single_param(b2);
arg3 = make_single_param(z);
data.insert(hypergeometric_0f2_gen(), arg1, arg2, arg3);
} while (num_spots--);
std::cout << "Any more data?";
std::cin >> cont;
}
std::cout << "Enter name of test data file [default=hypergeometric_0f2.ipp]";
std::getline(std::cin, line);
boost::algorithm::trim(line);
if(line == "")
line = "hypergeometric_0f2.ipp";
std::ofstream ofs(line.c_str());
ofs << std::scientific << std::setprecision(40);
write_code(ofs, data, line.c_str());
return 0;
}

116
tools/hyp_1f2_data.cpp Normal file
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@@ -0,0 +1,116 @@
// (C) Copyright John Maddock 2006.
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
#define BOOST_MATH_MAX_SERIES_ITERATION_POLICY 10000000
#include <boost/math/constants/constants.hpp>
#include <boost/lexical_cast.hpp>
#include <fstream>
#include <map>
#include <boost/math/tools/test_data.hpp>
#include <boost/random.hpp>
#include "mp_t.hpp"
using namespace boost::math::tools;
using namespace boost::math;
using namespace std;
struct hypergeometric_1f2_gen
{
mp_t operator()(mp_t a1, mp_t b1, mp_t b2, mp_t z)
{
mp_t result = 0;
mp_t abs_result = 0;
mp_t term = 1;
mp_t k = 0;
do
{
result += term;
abs_result += fabs(term);
if (fabs(result) * boost::math::tools::epsilon<mp_t>() > fabs(term))
break;
++k;
term *= a1++;
term /= b1++;
term /= b2++;
term /= k;
term *= z;
} while (true);
//
// check precision:
//
if (abs_result * boost::math::tools::epsilon<mp_t>() / fabs(result) > 1e-40)
throw std::domain_error("Unable to calculate result");
std::cout << a1 << " " << b1 << " " << b2 << " " << z << " " << result << std::endl;
return result;
}
};
int main(int, char* [])
{
parameter_info<mp_t> arg1, arg2, arg3, arg4;
test_data<mp_t> data;
std::cout << "Welcome.\n"
"This program will generate spot tests for 2F0:\n";
std::string line;
bool cont = true;
while (cont)
{
float range;
std::cout << "Enter the range to calculate over for a1, b1 and b2 (single value, range will be -x to x): ";
std::cin >> range;
float z_range;
std::cout << "Enter the range to calculate over for z (single value, range will be -x to x): ";
std::cin >> z_range;
int num_spots;
std::cout << "Enter how many test points to calculate: ";
std::cin >> num_spots;
std::vector<mp_t> v;
random_ns::mt19937 rnd;
random_ns::uniform_real_distribution<float> ur_a(-range, range);
random_ns::uniform_real_distribution<float> ur_z(-z_range, z_range);
do
{
mp_t a1 = ur_a(rnd);
mp_t b1 = ur_a(rnd);
mp_t b2 = ur_a(rnd);
mp_t z = ur_z(rnd);
arg1 = make_single_param(a1);
arg2 = make_single_param(b1);
arg3 = make_single_param(b2);
arg4 = make_single_param(z);
data.insert(hypergeometric_1f2_gen(), arg1, arg2, arg3, arg4);
} while (num_spots--);
std::cout << "Any more data?";
std::cin >> cont;
}
std::cout << "Enter name of test data file [default=hypergeometric_1f2.ipp]";
std::getline(std::cin, line);
boost::algorithm::trim(line);
if(line == "")
line = "hypergeometric_1f2.ipp";
std::ofstream ofs(line.c_str());
ofs << std::scientific << std::setprecision(40);
write_code(ofs, data, line.c_str());
return 0;
}

100
tools/hyp_2f1_data.cpp Normal file
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@@ -0,0 +1,100 @@
// (C) Copyright John Maddock 2006.
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
#define BOOST_MATH_MAX_SERIES_ITERATION_POLICY 10000000
#include <boost/math/constants/constants.hpp>
#include <boost/lexical_cast.hpp>
#include <fstream>
#include <map>
#include <boost/math/tools/test_data.hpp>
#include <boost/random.hpp>
#include "mp_t.hpp"
using namespace boost::math::tools;
using namespace boost::math;
using namespace std;
struct hypergeometric_2f1_gen
{
mp_t operator()(mp_t a1, mp_t a2, mp_t b, mp_t z)
{
mp_t result = 0;
mp_t abs_result = 0;
mp_t term = 1;
mp_t k = 0;
do
{
result += term;
abs_result += fabs(term);
if (fabs(result) * boost::math::tools::epsilon<mp_t>() > fabs(term))
break;
++k;
term *= a1++;
term *= a2++;
term /= b++;
term /= k;
term *= z;
} while (true);
//
// check precision:
//
if (abs_result * boost::math::tools::epsilon<mp_t>() / fabs(result) > 1e-40)
throw std::domain_error("Unable to calculate result");
std::cout << a1 << " " << a2 << " " << b << " " << z << " " << result << std::endl;
return result;
}
};
int main(int, char* [])
{
parameter_info<mp_t> arg1, arg2, arg3, arg4;
test_data<mp_t> data;
std::cout << "Welcome.\n"
"This program will generate spot tests for 2F0:\n";
std::string line;
bool cont;
std::vector<mp_t> v;
random_ns::mt19937 rnd;
random_ns::uniform_real_distribution<float> ur_a(-100, 100);
random_ns::uniform_real_distribution<float> ur_z(-1, 1);
int num_spots;
std::cout << "Enter how many test points to calculate: ";
std::cin >> num_spots;
do
{
mp_t a1 = ur_a(rnd);
mp_t a2 = ur_a(rnd);
mp_t b = ur_a(rnd);
mp_t z = ur_z(rnd);
arg1 = make_single_param(a1);
arg2 = make_single_param(a2);
arg3 = make_single_param(b);
arg4 = make_single_param(z);
data.insert(hypergeometric_2f1_gen(), arg1, arg2, arg3, arg4);
} while (num_spots--);
std::cout << "Enter name of test data file [default=hypergeometric_2f1.ipp]";
std::getline(std::cin, line);
boost::algorithm::trim(line);
if(line == "")
line = "hypergeometric_2f1.ipp";
std::ofstream ofs(line.c_str());
ofs << std::scientific << std::setprecision(40);
write_code(ofs, data, line.c_str());
return 0;
}

121
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@@ -0,0 +1,121 @@
// (C) Copyright John Maddock 2006.
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
#define BOOST_MATH_MAX_SERIES_ITERATION_POLICY 10000000
#include <boost/math/constants/constants.hpp>
#include <boost/lexical_cast.hpp>
#include <fstream>
#include <map>
#include <boost/math/tools/test_data.hpp>
#include <boost/random.hpp>
#include "mp_t.hpp"
using namespace boost::math::tools;
using namespace boost::math;
using namespace std;
struct hypergeometric_2f2_gen
{
mp_t operator()(mp_t a1, mp_t a2, mp_t b1, mp_t b2, mp_t z)
{
mp_t result = 0;
mp_t abs_result = 0;
mp_t term = 1;
mp_t k = 0;
do
{
result += term;
abs_result += fabs(term);
if (fabs(result) * boost::math::tools::epsilon<mp_t>() > fabs(term))
break;
++k;
term *= a1++;
term *= a2++;
term /= b1++;
term /= b2++;
term /= k;
term *= z;
} while (true);
//
// check precision:
//
if (abs_result * boost::math::tools::epsilon<mp_t>() / fabs(result) > 1e-40)
throw std::domain_error("Unable to calculate result");
if(fabs(result) > (std::numeric_limits<double>::max)())
throw std::domain_error("Unable to calculate result");
std::cout << a1 << " " << a2 << " " << b1 << " " << b2 << " " << z << " " << result << std::endl;
return result;
}
};
int main(int, char* [])
{
parameter_info<mp_t> arg1, arg2, arg3, arg4, arg5;
test_data<mp_t> data;
std::cout << "Welcome.\n"
"This program will generate spot tests for 2F2:\n";
std::string line;
bool cont = true;
while (cont)
{
float range;
std::cout << "Enter the range to calculate over for a1, a2, b1 and b2 (single value, range will be -x to x): ";
std::cin >> range;
float z_range;
std::cout << "Enter the range to calculate over for z (single value, range will be -x to x): ";
std::cin >> z_range;
int num_spots;
std::cout << "Enter how many test points to calculate: ";
std::cin >> num_spots;
std::vector<mp_t> v;
random_ns::mt19937 rnd;
random_ns::uniform_real_distribution<float> ur_a(-range, range);
random_ns::uniform_real_distribution<float> ur_z(-z_range, z_range);
do
{
mp_t a1 = ur_a(rnd);
mp_t a2 = ur_a(rnd);
mp_t b1 = ur_a(rnd);
mp_t b2 = ur_a(rnd);
mp_t z = ur_z(rnd);
arg1 = make_single_param(a1);
arg2 = make_single_param(a2);
arg3 = make_single_param(b1);
arg4 = make_single_param(b2);
arg5 = make_single_param(z);
data.insert(hypergeometric_2f2_gen(), arg1, arg2, arg3, arg4, arg5);
} while (num_spots--);
std::cout << "Any more data?";
std::cin >> cont;
}
std::cout << "Enter name of test data file [default=hypergeometric_2f2.ipp]";
std::getline(std::cin, line);
boost::algorithm::trim(line);
if(line == "")
line = "hypergeometric_2f2.ipp";
std::ofstream ofs(line.c_str());
ofs << std::scientific << std::setprecision(40);
write_code(ofs, data, line.c_str());
return 0;
}