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math/test/bessel_i_prime_data.ipp
jzmaddock fae96bf542 S390x testing: make all the tests 128-bit float safe. 
* Remove tests we don't need right now.
!!!REVERT THIS COMMIT BEFORE MERGING!!!

* Add s390x testing to drone.

* Correct drone file.

* Correct drone file (again)

* Prevent complete cancellation in bessel_jy logic.

* Correct testing for 128-bit floats.

* Make some more tests 128-bit long double safe.

* Make more tests 128-bit float safe.

* Fix some more 128-bit testing issues.

* More 128-bit float fixes.

* Make more tests 128-bit float safe.

* Fix up remaining tests for 128-bit floats.

* Yet more 128-bit float test case fixes.

* Fix up more tests for 128-bit floats and non-intel platforms.

* Fix up more tests to be 128-bit long double safe.

* More test case adjustments.

* More 128-bit float error rate adjustments.

* Fixes for autodiff tests

* Two more test fixes.

* Fix up daubechies_scaling_test.cpp and reinstate full CI.

Co-authored-by: Matt Borland <matt@mattborland.com>
2023-01-11 18:31:05 +00:00

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// Copyright (c) 2014 Anton Bikineev
// Copyright (c) 2022 John Maddock
// 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)
/*
This program will generate spot tests for the Bessel I function derivative
What kind of distribution do you require for parameter x?
Choices are:
r Random values in a half open range
p Evenly spaced periodic values in a half open range
e Exponential power series at a particular point: a + 2^b for some range of b
[Default=r]e
Data will be in the form a + r*2^b
for random value r,
enter value for the point a [default=0]:
Data will be in the form a + r*2^b
for random value r,
enter value for the starting exponent b:-6
Data will be in the form a + r*2^b
for random value r,
enter value for the ending exponent b:6
What kind of distribution do you require for parameter v?
Choices are:
r Random values in a half open range
p Evenly spaced periodic values in a half open range
e Exponential power series at a particular point: a + 2^b for some range of b
[Default=r]p
Data will be in the half open range a <= x < b,
enter value for the start point fo the range [default=0]:-100
Enter value for the end point fo the range [default=1]:100
How many data points do you want?80
Any more data [y/n]?n
Enter name of test data file [default=bessel_j_derivative_data.ipp]bessel_i_prime_data.ipp
*/
#ifndef SC_
# define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
#endif
static const std::array<std::array<T, 3>, 1040
#if LDBL_MAX_EXP <= 1024
- 3
#endif
> bessel_i_prime_data = { {
{ SC_(-1.00000000000000000000000000000000000000000000000000e+02), SC_(2.83550545573234558105468750000000000000000000000000e-02), SC_(5.46280750189455683138351898451207439397006824699457e-340) },
{ SC_(-1.00000000000000000000000000000000000000000000000000e+02), SC_(3.54836583137512207031250000000000000000000000000000e-02), SC_(2.39777612103065133708619206124315546634136568852863e-330) },
{ SC_(-1.00000000000000000000000000000000000000000000000000e+02), SC_(1.19111984968185424804687500000000000000000000000000e-01), SC_(2.79642440399203002444081227788985603160023586846295e-278) },
{ SC_(-1.00000000000000000000000000000000000000000000000000e+02), SC_(2.29376077651977539062500000000000000000000000000000e-01), SC_(4.18136949471207477823074340435911436814427564100662e-250) },
{ SC_(-1.00000000000000000000000000000000000000000000000000e+02), SC_(2.81746625900268554687500000000000000000000000000000e-01), SC_(2.90467451470586286669614915953886543915332620146806e-241) },
{ SC_(-1.00000000000000000000000000000000000000000000000000e+02), SC_(9.84433889389038085937500000000000000000000000000000e-01), SC_(1.79278588425575476107419392734822442295073811357800e-187) },
{ SC_(-1.00000000000000000000000000000000000000000000000000e+02), SC_(1.91337585449218750000000000000000000000000000000000e+00), SC_(6.74900049568567569657164186255772680024611990546425e-159) },
{ SC_(-1.00000000000000000000000000000000000000000000000000e+02), SC_(2.44206809997558593750000000000000000000000000000000e+00), SC_(2.09678874554234071823038085266998758193712450952760e-148) },
{ SC_(-1.00000000000000000000000000000000000000000000000000e+02), SC_(6.52943611145019531250000000000000000000000000000000e+00), SC_(4.43006678831679704080831578793905898052962180366512e-106) },
{ SC_(-1.00000000000000000000000000000000000000000000000000e+02), SC_(1.04653358459472656250000000000000000000000000000000e+01), SC_(1.00573337185159116494421668378037231135569844925463e-85) },
{ SC_(-1.00000000000000000000000000000000000000000000000000e+02), SC_(1.75606460571289062500000000000000000000000000000000e+01), SC_(2.97378117886220461875985196516291709117536661221212e-63) },
{ SC_(-1.00000000000000000000000000000000000000000000000000e+02), SC_(4.95110473632812500000000000000000000000000000000000e+01), SC_(2.05151120752087879149299190379873290575568854950382e-16) },
{ SC_(-1.00000000000000000000000000000000000000000000000000e+02), SC_(8.18238830566406250000000000000000000000000000000000e+01), SC_(1.32670786997734799678294220021613111033853384876468e+10) },
#if LDBL_MAX_EXP > 1024
{ SC_(-9.75000000000000000000000000000000000000000000000000e+01), SC_(2.83550545573234558105468750000000000000000000000000e-02), SC_(1.76755242253470399230847252793609449738347813539348e+334) },
{ SC_(-9.75000000000000000000000000000000000000000000000000e+01), SC_(3.54836583137512207031250000000000000000000000000000e-02), SC_(4.50483115145949489513587409374947142674428258617165e+324) },
#endif
{ SC_(-9.75000000000000000000000000000000000000000000000000e+01), SC_(1.19111984968185424804687500000000000000000000000000e-01), SC_(7.07697285630593420674963235774648912119957558944248e+272) },
{ SC_(-9.75000000000000000000000000000000000000000000000000e+01), SC_(2.29376077651977539062500000000000000000000000000000e-01), SC_(6.56792498004268774462039610399676965187980515262410e+244) },
{ SC_(-9.75000000000000000000000000000000000000000000000000e+01), SC_(2.81746625900268554687500000000000000000000000000000e-01), SC_(1.04786276452536831096784541243075161722021086184652e+236) },
{ SC_(-9.75000000000000000000000000000000000000000000000000e+01), SC_(9.84433889389038085937500000000000000000000000000000e-01), SC_(3.17345567321601307675282358374639450063031420743454e+182) },
{ SC_(-9.75000000000000000000000000000000000000000000000000e+01), SC_(1.91337585449218750000000000000000000000000000000000e+00), SC_(1.17520417710309661914200854515420046377064371926237e+154) },
{ SC_(-9.75000000000000000000000000000000000000000000000000e+01), SC_(2.44206809997558593750000000000000000000000000000000e+00), SC_(4.27330675145896777104779822356827555641319991761344e+143) },
{ SC_(-9.75000000000000000000000000000000000000000000000000e+01), SC_(6.52943611145019531250000000000000000000000000000000e+00), SC_(3.30570258976108344550275384360299726195922054419642e+101) },
{ SC_(-9.75000000000000000000000000000000000000000000000000e+01), SC_(1.04653358459472656250000000000000000000000000000000e+01), SC_(1.84186568511080298476311658917672866106153380283169e+81) },
{ SC_(-9.75000000000000000000000000000000000000000000000000e+01), SC_(1.75606460571289062500000000000000000000000000000000e+01), SC_(8.04852016104414377604590926437481666697279585183299e+58) },
{ SC_(-9.75000000000000000000000000000000000000000000000000e+01), SC_(4.95110473632812500000000000000000000000000000000000e+01), SC_(1.90499890328876207765771734247673318547901449964199e+12) },
{ SC_(-9.75000000000000000000000000000000000000000000000000e+01), SC_(8.18238830566406250000000000000000000000000000000000e+01), SC_(1.68779416827653791286129576808108482933453322002256e+11) },
{ SC_(-9.50000000000000000000000000000000000000000000000000e+01), SC_(2.83550545573234558105468750000000000000000000000000e-02), SC_(8.18542679888084963950414196282973818084654474952126e-321) },
{ SC_(-9.50000000000000000000000000000000000000000000000000e+01), SC_(3.54836583137512207031250000000000000000000000000000e-02), SC_(1.17069720755816389951405545468103636214699899847522e-311) },
{ SC_(-9.50000000000000000000000000000000000000000000000000e+01), SC_(1.19111984968185424804687500000000000000000000000000e-01), SC_(3.20335021231778929369935789279311499768503474036973e-262) },
{ SC_(-9.50000000000000000000000000000000000000000000000000e+01), SC_(2.29376077651977539062500000000000000000000000000000e-01), SC_(1.80866787575938193457425332256265626822123352639881e-235) },
{ SC_(-9.50000000000000000000000000000000000000000000000000e+01), SC_(2.81746625900268554687500000000000000000000000000000e-01), SC_(4.49351612382772294396969376919022139946024690120993e-227) },
{ SC_(-9.50000000000000000000000000000000000000000000000000e+01), SC_(9.84433889389038085937500000000000000000000000000000e-01), SC_(5.32635319379701974578846036193905708407708768697527e-176) },
{ SC_(-9.50000000000000000000000000000000000000000000000000e+01), SC_(1.91337585449218750000000000000000000000000000000000e+00), SC_(7.23151409807336697517941100106335840076150891474214e-149) },
{ SC_(-9.50000000000000000000000000000000000000000000000000e+01), SC_(2.44206809997558593750000000000000000000000000000000e+00), SC_(6.63576869162958050220392762285506613735713047918048e-139) },
{ SC_(-9.50000000000000000000000000000000000000000000000000e+01), SC_(6.52943611145019531250000000000000000000000000000000e+00), SC_(1.03107653136176035235760759523591142708896908751537e-98) },
{ SC_(-9.50000000000000000000000000000000000000000000000000e+01), SC_(1.04653358459472656250000000000000000000000000000000e+01), SC_(2.23280928175358086888431510188892697271423608765143e-79) },
{ SC_(-9.50000000000000000000000000000000000000000000000000e+01), SC_(1.75606460571289062500000000000000000000000000000000e+01), SC_(5.09495819112136964646021346488025703346763974022120e-58) },
{ SC_(-9.50000000000000000000000000000000000000000000000000e+01), SC_(4.95110473632812500000000000000000000000000000000000e+01), SC_(2.55731895371937933654845195096689319438726302230835e-13) },
{ SC_(-9.50000000000000000000000000000000000000000000000000e+01), SC_(8.18238830566406250000000000000000000000000000000000e+01), SC_(2.04419656784587743182600575811873025987891903945959e+12) },
#if LDBL_MAX_EXP > 1024
{ SC_(-9.25000000000000000000000000000000000000000000000000e+01), SC_(2.83550545573234558105468750000000000000000000000000e-02), SC_(-1.27525194207158464561983681765009052289835342622273e+315) },
#endif
{ SC_(-9.25000000000000000000000000000000000000000000000000e+01), SC_(3.54836583137512207031250000000000000000000000000000e-02), SC_(-9.97451270958290059910644733258266240142724730352285e+305) },
{ SC_(-9.25000000000000000000000000000000000000000000000000e+01), SC_(1.19111984968185424804687500000000000000000000000000e-01), SC_(-6.67875183219230948997649502638394947448396135028601e+256) },
{ SC_(-9.25000000000000000000000000000000000000000000000000e+01), SC_(2.29376077651977539062500000000000000000000000000000e-01), SC_(-1.64148529318496808985981635865440654460396405164557e+230) },
{ SC_(-9.25000000000000000000000000000000000000000000000000e+01), SC_(2.81746625900268554687500000000000000000000000000000e-01), SC_(-7.32258889777952964551179318600167274590899421150911e+221) },
{ SC_(-9.25000000000000000000000000000000000000000000000000e+01), SC_(9.84433889389038085937500000000000000000000000000000e-01), SC_(-1.15472730402767664644148709471435844156168216953376e+171) },
{ SC_(-9.25000000000000000000000000000000000000000000000000e+01), SC_(1.91337585449218750000000000000000000000000000000000e+00), SC_(-1.18568808167108993215071409344746285496528322787973e+144) },
{ SC_(-9.25000000000000000000000000000000000000000000000000e+01), SC_(2.44206809997558593750000000000000000000000000000000e+00), SC_(-1.45973162417126929649867707173132197979552942722164e+134) },
{ SC_(-9.25000000000000000000000000000000000000000000000000e+01), SC_(6.52943611145019531250000000000000000000000000000000e+00), SC_(-1.53534655000745909938010391515909295664384509960050e+94) },
{ SC_(-9.25000000000000000000000000000000000000000000000000e+01), SC_(1.04653358459472656250000000000000000000000000000000e+01), SC_(-8.96750784432296225939292358310454313056395919270724e+74) },
{ SC_(-9.25000000000000000000000000000000000000000000000000e+01), SC_(1.75606460571289062500000000000000000000000000000000e+01), SC_(-5.07627595095194247995364382525407334936865618760277e+53) },
{ SC_(-9.25000000000000000000000000000000000000000000000000e+01), SC_(4.95110473632812500000000000000000000000000000000000e+01), SC_(-1.64629862934602109882357459657571983020557258319462e+09) },
{ SC_(-9.25000000000000000000000000000000000000000000000000e+01), SC_(8.18238830566406250000000000000000000000000000000000e+01), SC_(2.35538861553219623642198466348770334242100202263274e+13) },
{ SC_(-9.00000000000000000000000000000000000000000000000000e+01), SC_(2.83550545573234558105468750000000000000000000000000e-02), SC_(9.41285686128658451060703770209881243872785094701696e-302) },
{ SC_(-9.00000000000000000000000000000000000000000000000000e+01), SC_(3.54836583137512207031250000000000000000000000000000e-02), SC_(4.38667268778174698190814394043509213566067879298964e-293) },
{ SC_(-9.00000000000000000000000000000000000000000000000000e+01), SC_(1.19111984968185424804687500000000000000000000000000e-01), SC_(2.81618084632350604919901063985439270020509007466291e-246) },
{ SC_(-9.00000000000000000000000000000000000000000000000000e+01), SC_(2.29376077651977539062500000000000000000000000000000e-01), SC_(6.00418598361598717044275067665442789001075144084087e-221) },
{ SC_(-9.00000000000000000000000000000000000000000000000000e+01), SC_(2.81746625900268554687500000000000000000000000000000e-01), SC_(5.33494986465037246939055415429801547003459908479049e-213) },
{ SC_(-9.00000000000000000000000000000000000000000000000000e+01), SC_(9.84433889389038085937500000000000000000000000000000e-01), SC_(1.21448604914545876807790466476063491239282707947918e-164) },
{ SC_(-9.00000000000000000000000000000000000000000000000000e+01), SC_(1.91337585449218750000000000000000000000000000000000e+00), SC_(5.94699619055216925909814350592256094554576063171103e-139) },
{ SC_(-9.00000000000000000000000000000000000000000000000000e+01), SC_(2.44206809997558593750000000000000000000000000000000e+00), SC_(1.61183843741670967885286007598343562654959871920043e-129) },
{ SC_(-9.00000000000000000000000000000000000000000000000000e+01), SC_(6.52943611145019531250000000000000000000000000000000e+00), SC_(1.84291063465461773653143690881457811682450558434945e-91) },
{ SC_(-9.00000000000000000000000000000000000000000000000000e+01), SC_(1.04653358459472656250000000000000000000000000000000e+01), SC_(3.81052942435387140326347239024004029567021694826341e-73) },
{ SC_(-9.00000000000000000000000000000000000000000000000000e+01), SC_(1.75606460571289062500000000000000000000000000000000e+01), SC_(6.72966382867938460059157387916568274850872983469897e-53) },
{ SC_(-9.00000000000000000000000000000000000000000000000000e+01), SC_(4.95110473632812500000000000000000000000000000000000e+01), SC_(2.52257772536358422712395375562152646979636394728379e-10) },
{ SC_(-9.00000000000000000000000000000000000000000000000000e+01), SC_(8.18238830566406250000000000000000000000000000000000e+01), SC_(2.57994807599883837638606718008896814380157749111086e+14) },
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{ SC_(-8.75000000000000000000000000000000000000000000000000e+01), SC_(3.54836583137512207031250000000000000000000000000000e-02), SC_(2.89005333876768933023572016227825584278771569107493e+287) },
{ SC_(-8.75000000000000000000000000000000000000000000000000e+01), SC_(1.19111984968185424804687500000000000000000000000000e-01), SC_(8.24791157764993472461900299903519580572180606650177e+240) },
{ SC_(-8.75000000000000000000000000000000000000000000000000e+01), SC_(2.29376077651977539062500000000000000000000000000000e-01), SC_(5.36841976439526175938633080014890471703325797464822e+215) },
{ SC_(-8.75000000000000000000000000000000000000000000000000e+01), SC_(2.81746625900268554687500000000000000000000000000000e-01), SC_(6.69615314319490694759371821129164439636140481732043e+207) },
{ SC_(-8.75000000000000000000000000000000000000000000000000e+01), SC_(9.84433889389038085937500000000000000000000000000000e-01), SC_(5.49820586501044413214751117131715537780030073254178e+159) },
{ SC_(-8.75000000000000000000000000000000000000000000000000e+01), SC_(1.91337585449218750000000000000000000000000000000000e+00), SC_(1.56532401967031947921411760182333869076798675785764e+134) },
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} };
//#undef SC_
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