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Subject: [Boost-commit] svn:boost r79834 - trunk/libs/math/test
From: pbristow_at_[hidden]
Date: 2012-08-01 12:32:50

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Author: pbristow
Date: 2012-08-01 12:32:48 EDT (Wed, 01 Aug 2012)
New Revision: 79834
URL: http://svn.boost.org/trac/boost/changeset/79834

Log:
Rebuilt after edits to quiet nags.
Text files modified:
   trunk/libs/math/test/jacobi_elliptic.ipp | 805 ++++----
   trunk/libs/math/test/jacobi_elliptic_small.ipp | 3367 ++++++++++++++++++++-------------------
   trunk/libs/math/test/jacobi_large_phi.ipp | 605 +++---
   trunk/libs/math/test/jacobi_near_1.ipp | 685 ++++----
   trunk/libs/math/test/owens_t_T7.hpp | 14
   trunk/libs/math/test/owens_t_large_data.ipp | 1313 +++++++-------
   trunk/libs/math/test/table_type.hpp | 6
   trunk/libs/math/test/test_constants.cpp | 540 +++---
   8 files changed, 3686 insertions(+), 3649 deletions(-)

Modified: trunk/libs/math/test/jacobi_elliptic.ipp
==============================================================================
--- trunk/libs/math/test/jacobi_elliptic.ipp (original)
+++ trunk/libs/math/test/jacobi_elliptic.ipp 2012-08-01 12:32:48 EDT (Wed, 01 Aug 2012)
@@ -1,406 +1,413 @@
+// Copyright John Maddock 2012.
+
+// 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)
+
#ifndef SC_
# define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
#endif
    static const boost::array<boost::array<T, 5>, 400> jacobi_elliptic = {{
- {{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.7384321813508780300050309993112921610348339609531096226291156957843807163438391463300771570266454611e-02), SC_(9.9524685071841496279438927849850673342525676921414792528840427410727111940782381944976305408868157855e-01), SC_(9.9995488439733316729114394585903874689886199946693440341361736436672692239264636048488084336908171547e-01) }},
- {{ SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7383306026428126815811673852101862643417212675894886262329096942831342806175591481538515201116435095e-02), SC_(9.9524695011206291426731901545274769005867525867705503210833924341584688692109569818882782443312019870e-01), SC_(9.9992353321916073154296514614318371763529995049379965142148455053362169878708374701587696243287582131e-01) }},
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+ {{ SC_(9.9288129806518554687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9288129806518554687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.5978278283822479211376439731268141642022108080095832555933973987704296865652470937104603229869288191e-01), SC_(6.5017699351992065569746064599627737154536888227390453834366792436726148721533868773119735826598551074e-01), SC_(6.5644473766197150059277953711487155980360915730283952501378037406371103715133686833849501666306310513e-01) }},
+ {{ SC_(9.9288129806518554687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.5918336733663972037219871212498362117551081339580453396486836115142190979661014478954656059145811300e-01), SC_(6.5087680459469498453412617782386488677994476550785121126771057160918237120006786151538232665099459464e-01), SC_(6.5399747100900172007298509080282708005245020667670621531355072097410857580673026605001215944240422120e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7540378570556640625000000000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(8.3885482409737487793132986525390252548599016635647076881425605198439856189635291019635684986647676933e-01), SC_(5.4435520029532394631766859531442445028924423939805843855900693679606882689380332392533232650416764803e-01), SC_(9.9664694089105561049436599014171427205430440750206219053630830466477486541729108074262628038967567197e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.3836846976079144894023795726943708541833389995672584811366755923228253071174017567635353431121846609e-01), SC_(5.4510394321720780766887536717356250054610572085005960031610835416626521365025255202834856505988398552e-01), SC_(9.9431680058555042048560821892288124889668236747200833373307558342592799237570669113081508646858944123e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.3547700643539428710937500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.3820441560966632694840359993609916279790205370061844267576841794174497598281495713485622976344391591e-01), SC_(5.4535617503834845711324861801153301842141480493596794361183694684559717959677144037999716529712971962e-01), SC_(9.9353143444262221939465586259809215783089086048975947684621927841892919843078927555582450058279233656e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.8838196992874145507812500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.3694080839939330368414271429214551959961793583075530257748487453202093020709691019075041846416360706e-01), SC_(5.4729341603546632401734901252585114956817351177725909693254699621320094637152673766320203739840879612e-01), SC_(9.8749272761250703526071418423335735642830175784158270003092854064131945258173428320458022832662895698e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.2103404998779296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.3595219488333541745953223658793448369279376370877659139211318590602107483272687491384205103621224117e-01), SC_(5.4880226664048500692879221583078985251740360874646904338195445074557839493958187702092044696804312843e-01), SC_(9.8278105708386568298282282875597998137429996085178472000521847835028605762176132021719290137727508239e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(2.7849817276000976562500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.3382140916514258364057514275189395234076096015656622904743683896148751450562302576019453974647090151e-01), SC_(5.5203429025546581114852096977818457319004303981372761755614161259277270015439079181206829579325032785e-01), SC_(9.7266382772180763980428823267587850291886472907988601665506049159784515142450655743912151433457442980e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(3.0816698074340820312500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.3252411677796080099984218005465406247603158092900382879848475335969228461284474294838346745658610338e-01), SC_(5.5398880402321876447537992744785992051147320066434509696867298206540346295080549987859520437777915381e-01), SC_(9.6652925010955620940395542670963601024004192923501024067547444076347996257852171861223080733972851268e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(5.4688143730163574218750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.1702126153451325670867681664834862284442900110619845692881310008319720517769069946797733509893494105e-01), SC_(5.7660754261503767522810562864064328455649166811864815390603109965795766966575540449279700563129428370e-01), SC_(8.9462699615741016868034408689337159403352108892081501750962490910797925647981891785415699133208532444e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(5.4722046852111816406250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.1699261272360843718094896717933608151745983515066309372984104102996139405622722607210355081833891513e-01), SC_(5.7664813426824850966137934301882037328247242522271394061105905414771445854256739255757146117096354987e-01), SC_(8.9449643518753563454611035039011276118628076201799942256582642209492573307351767556846756787034337047e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(6.3235926628112792968750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.0917470232222200804623180098129133036872476212345687946408231027401224355414186080302191412417315445e-01), SC_(5.8756812466448807626035048020623505899237385118588318521559957175811892777170782847243623726402163039e-01), SC_(8.5917067186634159636297999262881680727474209461119658335870527906879501356002165645327808755884914641e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.1472349166870117187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.8807119444979816800923969304385287292785209340565035630430040254664427368175755115143127657804319275e-01), SC_(6.1558410674616056493571795007635947841655775384258519636348871522168706473724532307349806008226940840e-01), SC_(7.6665429525726110361447413684552291171054174846338591438308890401356527577849589856356276150225732188e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.3500838279724121093750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.8533974060861189062248546305583049909685081062975650698710874051826667020351572955065423608667621888e-01), SC_(6.1906501421159166628343674250361648671913040974698965825105617076167069374238270072189557585460007272e-01), SC_(7.5496484350046113300800020039074081961933680785286101512645919124096025389484980045855949751906931482e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.0579175949096679687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.7518052347000925314010007943527768455040920946345973339627012081381376695222757183254277030896944957e-01), SC_(6.3173978506404235602086192410695037495356623570300207001965408561482576560706910009779017218552967902e-01), SC_(7.1202695591348996943901212719172676293237917080282599202090818283760895203386224684127468737115722039e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.1337585449218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.7403326959640178723563496098403563126044877288657909026716436291016997542128873110698916026557616324e-01), SC_(6.3314492618823376986676740088221455887438346847232176226658849048417517890369368618344349029048271542e-01), SC_(7.0723024179015572507350410631921738029759560477969903360400060435126461530726016656465837852310688792e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.5750665664672851562500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6712800823285619471798123561258913583803638220534736201364708009370629428320353958750416444955694982e-01), SC_(6.4149405218185064504992339458407016741795699167416304441730489787216690117110750201301703730190120252e-01), SC_(6.7857602589593721337697403304549699145452424462317392210364305668406670401778150852638680470506706518e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.6488833427429199218750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6593441813020686107904272195284976164911143038148978940760933715399917785398101606027733051459971132e-01), SC_(6.4291870957652293482277601636810697919275457997668849096935959115861162055784408260876292546568984644e-01), SC_(6.7366024601538257589655742562219072544530334312218911862590121331700593411003613779831508617892420325e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.6769475936889648437500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6547770865632652104311857431350648982519639693036504351701283181609474922881977308885338563907679349e-01), SC_(6.4346241347126103408603307544875846579869659656475523368458255827578551435308991733382243465986469958e-01), SC_(6.7178215521760534606784911003038819524570089099102635584446923804691272196126068898352982615576142014e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.6886777877807617187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6528633729797841460176785222203390514942625072618331938529597075420681577693034777030027274670865291e-01), SC_(6.4369000454026378494764961458275300252507916799112249356864558832261907901572939091058344628185994802e-01), SC_(6.7099566282750678306967995163385198199449520575839393027024329721293501791261343629006364525136879702e-01) }},
+ {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9288129806518554687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6130656170513378346158650596006841065509926127276492299715158864622868192915634720105938405478654273e-01), SC_(6.4839210290125166440291833468322114687478245067783826919074500661090573579759551799996853065323027448e-01), SC_(6.5470204815482800802602415811048971704607358039770120289884409108362609917793951796905679822441221683e-01) }},
       {{ SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9646115303039550781250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(7.6070308834386404159049681239553434730978977615881969147142722819631969635063229458010769940901615571e-01), SC_(6.4910000106617422443762696869434170692368988825415526998433303308325407487195203453870690819261137407e-01), SC_(6.5224167903128336698276201258993391810194122946207851950380395682119994293224476046299862066823494348e-01) }}
    }};
//#undef SC_

Modified: trunk/libs/math/test/jacobi_elliptic_small.ipp
==============================================================================
--- trunk/libs/math/test/jacobi_elliptic_small.ipp (original)
+++ trunk/libs/math/test/jacobi_elliptic_small.ipp 2012-08-01 12:32:48 EDT (Wed, 01 Aug 2012)
@@ -1,1687 +1,1694 @@
+// Copyright John Maddock 2012.
+
+// 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)
+
#ifndef SC_
# define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
#endif
    static const boost::array<boost::array<T, 5>, 1681> jacobi_elliptic_small = {{
- {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.6504814008555523940913182524024344909690304914367592725655712600281923768045401283620998764707764693e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696151635920379696565170086974190992e-01), SC_(9.9999999999999999999999999999999999999999999999628966995620346223342181461431515637620350243665215080e-01) }},
- {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(2.0654207510961697380480472929775714874267578125000000000000000000000000000000000000000000000000000000e-12), SC_(1.6504814008555523940913182524024344909690304914356038800613310054830865914687618301634103078917338168e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696151826615763590211178195021758793e-01), SC_(9.9999999999999999999999999999999999999999999999418956903357324218784742231100976423667721244640328945e-01) }},
- {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(6.9332300317581641024844429921358823776245117187500000000000000000000000000000000000000000000000000000e-12), SC_(1.6504814008555523940913182524024344909690304914027798723391089616386590188266692256822553895004737691e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696157244157188296862020758148130289e-01), SC_(9.9999999999999999999999999999999999999999999993452696204168490870911613561919090434443527881778962629e-01) }},
- {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.3351444949627477853937307372689247131347656250000000000000000000000000000000000000000000000000000000e-11), SC_(1.6504814008555523940913182524024344909690304913052218556582079673621348947108779104417637686162896722e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696173345926391915144123663683144195e-01), SC_(9.9999999999999999999999999999999999999999999975720048632921041975214334983463922773663246301371558079e-01) }},
- {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.6399812063916385795891983434557914733886718750000000000000000000000000000000000000000000000000000000e-11), SC_(1.6504814008555523940913182524024344909690304912372618758507282714946015960583626600059283156291032012e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696184562594659391558357034445701976e-01), SC_(9.9999999999999999999999999999999999999999999963367292684459290855251530901083881607676209352596350232e-01) }},
- {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(5.7301594025283009159466018900275230407714843750000000000000000000000000000000000000000000000000000000e-11), SC_(1.6504814008555523940913182524024344909690304889783532888043627371778016267672955616082803704829236507e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973696557391255574683748524224459833699e-01), SC_(9.9999999999999999999999999999999999999999999552776433700754495454636367587944076648284400103707184302e-01) }},
- {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.1137313293829720350913703441619873046875000000000000000000000000000000000000000000000000000000000000e-10), SC_(1.6504814008555523940913182524024344909690304821439689287767962044790479566381944530155678406625631702e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973697685393682827041343608589118700995e-01), SC_(9.9999999999999999999999999999999999999999998310523532852882161708648652005740665368880880910156584491e-01) }},
- {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.4214707189097453010617755353450775146484375000000000000000000000000000000000000000000000000000000000e-10), SC_(1.6504814008555523940913182524024344909690304762977332560523723670737117904598123506030905571007525820e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973698650304007112032323166148527367075e-01), SC_(9.9999999999999999999999999999999999999999997247881626734957219094542687145216261006406307420236809325e-01) }},
- {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(3.8006320313144215106149204075336456298828125000000000000000000000000000000000000000000000000000000000e-10), SC_(1.6504814008555523940913182524024344909690303831976744007277642905699914309078508034857277902993981434e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973714016295563039085806793646480974079e-01), SC_(9.9999999999999999999999999999999999999999980325535429971135087765023210979692154823009643251966522036e-01) }},
- {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(6.0916272026645401638234034180641174316406250000000000000000000000000000000000000000000000000000000000e-10), SC_(1.6504814008555523940913182524024344909690302133731854710685114641012066105734375850645869948919458138e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973742045511601859311127502555051080985e-01), SC_(9.9999999999999999999999999999999999999999949457361664130189602800079536313829981986427076949318817789e-01) }},
- {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(1.0221641311147777742007747292518615722656250000000000000000000000000000000000000000000000000000000000e-09), SC_(1.6504814008555523940913182524024344909690297085106157246959147019549187034633366860135865373130072792e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133973825372139737312017993425357327472681e-01), SC_(9.9999999999999999999999999999999999999999857690940760870814533399831245189911999724717703220387897201e-01) }},
- {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(2.8819222563924995483830571174621582031250000000000000000000000000000000000000000000000000000000000000e-09), SC_(1.6504814008555523940913182524024344909690242677885948711088664385488861032724509329344622403207481410e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133974723353190001720047690056131101093059e-01), SC_(9.9999999999999999999999999999999999999998868757284550027385876551628249984105649518984138605236580531e-01) }},
- {{ SC_(1.6504814008555523940913190017454326152801513671875000000000000000000000000000000000000000000000000000e-12), SC_(4.7627768395841485471464693546295166015625000000000000000000000000000000000000000000000000000000000000e-09), SC_(1.6504814008555523940913182524024344909690134933098417362621376030351507143097515536131758800073666674e-12), SC_(9.9999999999999999999999863795557271494668646082344582907244133976501660868597958778702500430601729980e-01), SC_(9.9999999999999999999999999999999999999996910332533889451002177040231472679603830330500099612602677035e-01) }},
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+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.8819222563924995483830571174621582031250000000000000000000000000000000000000000000000000000000000000e-09), SC_(9.9639439232989392414988229359049537613055280123374018742798807447555101508526357614351188811987695539e-01), SC_(-8.4842294485365162921917739773972179472558810834447100120810036583401463089726782446655405302908145962e-02), SC_(9.9999999999999999587715435435236904585317096941142380990419684706107557763821121747972577398325722789e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(4.7627768395841485471464693546295166015625000000000000000000000000000000000000000000000000000000000000e-09), SC_(9.9639439232989392468062794040441670620543891806999755338751939424992569122700438434854794391966968176e-01), SC_(-8.4842294485365156688800289961080533761648222791341579674658715133426521059651050734084635499987839930e-02), SC_(9.9999999999999998873962069750330806632308636752090210201932688470646854317990417102180074104808233431e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(8.8541334264391480246558785438537597656250000000000000000000000000000000000000000000000000000000000000e-09), SC_(9.9639439232989392673707121053352422625356658217303075116649624713930772691991989043739141933452360793e-01), SC_(-8.4842294485365132537773317739828555475213130005169271016524515948944002612718272119860347367172180994e-02), SC_(9.9999999999999996108431510609764651236371494824054117662546816297658586763352566792845768236493829823e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.3050326092288742074742913246154785156250000000000000000000000000000000000000000000000000000000000000e-08), SC_(9.9639439232989394345544773103454087558254312545678397195804342554904076873425142388506643460318002065e-01), SC_(-8.4842294485364936195881400136941483329506206563433540673929711896384660751069875919692598075783059576e-02), SC_(9.9999999999999973625350241968193877721855808037349566015638459946943206969335817353968027492126502282e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(5.9392490925347374286502599716186523437500000000000000000000000000000000000000000000000000000000000000e-08), SC_(9.9639439232989405405018011142524532736501430629105088193275242338258777437455697418975131684191221919e-01), SC_(-8.4842294485363637362889748125521896587673154302812261260150894089801952279281901044542974306036982431e-02), SC_(9.9999999999999824896174718081990331034461280315280962795240206768660204276304322993495136227955875483e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.1667648891489079687744379043579101562500000000000000000000000000000000000000000000000000000000000000e-07), SC_(9.9639439232989442634500045409108731549010046464738105516502928086111610280466324094451263332286349668e-01), SC_(-8.4842294485359265104059019529370046157498710478206515609612241056089073719873849031215963836157014509e-02), SC_(9.9999999999999324229456786787708285791330553826966224546894562447049868987754673200814836010122411685e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.3799674409019644372165203094482421875000000000000000000000000000000000000000000000000000000000000000e-07), SC_(9.9639439232989601464506713603381888542259911240503341675783382339161277310613605184904978207815355032e-01), SC_(-8.4842294485340611986655972919139731689757639273427541000107716774717614400759544871959901034018042843e-02), SC_(9.9999999999997188263716667439324205731591559804198846266833701690218952604787767494000497709598522931e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(4.6846594159433152526617050170898437500000000000000000000000000000000000000000000000000000000000000000e-07), SC_(9.9639439232990202462390652698782609254008348156336889962480221504612347767144033019437727795000288797e-01), SC_(-8.4842294485270030335724459320249478221757594901193169180860648559415124811781045436362107593672631223e-02), SC_(9.9999999999989105969212577782282360468512833476252007017681875725911844408283469933768767175294955914e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.3826997726864647120237350463867187500000000000000000000000000000000000000000000000000000000000000000e-07), SC_(9.9639439232992641958585545262463099799848333149274561871563771543583526269224291176910216375332908961e-01), SC_(-8.4842294484983534037686783527835454992921912092660968995212001703740264338631718205138843401870012274e-02), SC_(9.9999999999956299320111678065381414005117728640827006034551068145838423608076432341954064670386808729e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.1039855962735600769519805908203125000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(9.9639439232993891194204703088677522512244399512487298590549937155560273073731965241606747269890480607e-01), SC_(-8.4842294484836822851575585886567413907326892374168197022264779245842189375666044735899310645141599057e-02), SC_(9.9999999999939499443691302955871808429687868700747141390968336493895645754611108621555597704991416291e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(3.2917760108830407261848449707031250000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(9.9639439233029389748956932327129091158075264859718512367948708207416066779749862612144734336172739459e-01), SC_(-8.4842294480667845443953102163404296318391883798145226147266545577967646060269205478578768927922719434e-02), SC_(9.9999999999462110451726763223295498660227375746905159152874896311796553700194885004383959875991323374e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(7.5172138167545199394226074218750000000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(9.9639439233197978132686693916203190106576896483533805609341298516578495517691112332138923484292414188e-01), SC_(-8.4842294460868696775433694073450150907679394654211248232058407564229451823414329968769544117088087361e-02), SC_(9.9999999997194912839320992947154918460071662296190735712959073259087663139642400252423085776091530486e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.5114666894078254699707031250000000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(9.9639439233832664977629705536669831435426827137573865519655076721199119234036829353543026053815720129e-01), SC_(-8.4842294386330588454991996610694144597747353486819290842374731164755639767707663806305724394100907510e-02), SC_(9.9999999988659564978929333754573013725483609109446164465889782429126367311703263380098309270395970454e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.9863993404433131217956542968750000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(9.9639439236281443624753158687038454096577564270991214083469840809539610364509563625849219075623699280e-01), SC_(-8.4842294098744151302953238350800256832596089936119182803734993418583767146069333200039628065940693344e-02), SC_(9.9999999955728084199715672255718504172741717470542761906819535951864276950458540373205623386616537109e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(3.3870281185954809188842773437500000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(9.9639439237223953724581982941629132748498983887981035908604585745857826395065250770878869942510011341e-01), SC_(-8.4842293988055044082583610914447143938044232971226932593724715633534115772196868151866529219226744951e-02), SC_(9.9999999943053090748253932656368900765792555269780716890189615989575800344105114676634210224581246448e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.0660119894891977310180664062500000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(9.9639439263328541366719031725241577314079198743209947847909476415592779981710088614620793535022214474e-01), SC_(-8.4842290922312241463028290901886236468697679576893295365022598381737118235652753487965129582714048961e-02), SC_(9.9999999591995330997524068647525151887288634403876011421441510310561160493295521892857438617062912841e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.1949532674625515937805175781250000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(9.9639439410826067431307822604787492127597668642195114647761391647693455985378034591691491702705577906e-01), SC_(-8.4842273600087509888806940837110422629864742105524848164093163940289071489404486929406333024041952399e-02), SC_(9.9999997608429891075272698981098375011760545789757386788033103243299232149774232751941797398008621709e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(4.3952150736004114151000976562500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(9.9639439946057283654855935236752624035880191284049054750658244297828725656065644035418378639820004094e-01), SC_(-8.4842210742085271589035996870541465107472441820952998743617829037111050036348887366217833042583183538e-02), SC_(9.9999990410568885432730450661406780382747893720931957290008095471902273911676718477882188550504429360e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(6.3331518322229385375976562500000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(9.9639440713495471434923143724675451317717484796503726041028796498492176802332554253832509916871965935e-01), SC_(-8.4842120613419993829653470484176332143015609165075405322937128639532532687627013454703366335136057687e-02), SC_(9.9999980089947286502621224734144392936772145074199619421807467791812848947570762271107897628498946539e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.1151232756674289703369140625000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(9.9639443823016524654104629623362614491579693467989253808727772715845343535280963682357379812867245026e-01), SC_(-8.4841755427344930663007460100028833354954911466256337396719760700291713295727386906732582556927571057e-02), SC_(9.9999938272528249391312307608807398374816383372852435374472406644589615977465186408873728224171642189e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.9624670967459678649902343750000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(9.9639453448794504753671533455904797532119598152365059838083231543209853813817276459987896643847885629e-01), SC_(-8.4840624953799622786068044598030741055063642230082296390150800205369862431346329264619378174286838014e-02), SC_(9.9999808822023431586330507223399599331299259546946802809286583619824066393501989056548364182611503082e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(5.5537540465593338012695312500000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(9.9639553077217003511353530043413808033920247930882092573188708783469515876938649937674371540560702420e-01), SC_(-8.4828923470981032069634272050225777540758810269842969047296062581637761984301166734820582381456553004e-02), SC_(9.9998468876732348097939012173864087757227234405891503826150435694363062945422284532826470182539791518e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(8.6911283433437347412109375000000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(9.9639718000461594989260420944042571499940208837940453162707360749418854616064045702840166901838974039e-01), SC_(-8.4809549455523940355185466702194582862099119856342307034787941990006897379697771484768623427437519652e-02), SC_(9.9996250309238530117640656410289279207641184807525627009919430951232501378233250614276839898342947194e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.9933363199234008789062500000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.9642739273361037624425236003709998424423669985681772457419514437854858892669295864838396904074334791e-01), SC_(-8.4453839522542653735176696295242418341771308961936320935099661751459635173562095780038126996050284763e-02), SC_(9.9955509327307226870482882280431162855249849172060889261100838598526189994716425561466757382237089590e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(5.1242604851722717285156250000000000000000000000000000000000000000000000000000000000000000000000000000e-02), SC_(9.9649068766424200577985721184356752955601723188930074293915835068113130632428255591007970917819025182e-01), SC_(-8.3703700028410244770061826214701529976799484885620218724844567694731485856500558608813841851268272143e-02), SC_(9.9869544539219827767678663556107790796001205357457841120474538750514167458555525624218345986227679244e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.1201295256614685058593750000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9684313604934398930539235390129770939609825850290918420113575774717084081891501166979587762444196098e-01), SC_(-7.9396234868594807401272204725688142828934281134460946403103848657930854463427457876250364818746217174e-02), SC_(9.9374654270592187744997687020550454797638290050151265651320047733411371840069209832488090292039717367e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(2.3480379581451416015625000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9814934866490320978806688580871390672680066453416779059422743215014552518552147816785137038565167474e-01), SC_(-6.0810178094045119247364122651955570809342076623943187762098707626057061856818089052462136539473338148e-02), SC_(9.7214764923305873458032862854350162073206678556449933567459172269681798829001261625830288160524321418e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(4.8987305164337158203125000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.9976967292952005755481095245256024937692734652402590999991494952154282866789560889911025306718779168e-01), SC_(2.1461619006973565646536174052546379410807514047370718515791347175325100002601713407336650423975813432e-02), SC_(8.7185717081396898541065289390703478456116878515433892820948672390341209634334005744800539221410270970e-01) }},
+ {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(7.5183129310607910156250000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.8539034324839560936682949899637621959818856082648192169501428326661400191997487509531927187367953439e-01), SC_(1.7031110190709553832350904690514019306839852576492774590778059270526592192267334810770243087477878657e-01), SC_(6.7167349511579774208520897966660216379314520347464078477957664271219777907511857160535742769433089892e-01) }},
       {{ SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.6557407379150390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(4.0815375315288640577475196367102453532926947422123146010409415723479279392954356853433706994064428463e-01), SC_(9.1291320167210457006284950226993895289063450955873095160130726593569036267152905012436288527918734100e-01), SC_(-7.3708797978087103688004545584461400336979146221355035197387826317949437602283858594803646637152865976e-01) }}
    }};
//#undef SC_

Modified: trunk/libs/math/test/jacobi_large_phi.ipp
==============================================================================
--- trunk/libs/math/test/jacobi_large_phi.ipp (original)
+++ trunk/libs/math/test/jacobi_large_phi.ipp 2012-08-01 12:32:48 EDT (Wed, 01 Aug 2012)
@@ -1,306 +1,313 @@
+// Copyright John Maddock 2012.
+
+// 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)
+
#ifndef SC_
# define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
#endif
    static const boost::array<boost::array<T, 5>, 300> jacobi_large_phi = {{
- {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(1.2698680162429809570312500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.1058797357690320086682997888107252211628291495151688601393407863373061954395848396257429511756176811e-01), SC_(-9.9386633915238026812869743952282655015178929533806734450981604274006648191113417152643248132020074274e-01), SC_(9.9990138922139577345821742312959843927086669798900631576940452344894647029651168866543336495621319962e-01) }},
- {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(1.3547700643539428710937500000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(1.9796027195728077189442848498661232305049387865637023002287165495702857395230146075769449539819678763e-02), SC_(-9.9980403945336507845151345500450800737097833473134761034812701539547907788852267602747381881654129683e-01), SC_(9.9999640368228571150326548705630160155372276544820513372782759452847671460675392468118278515564642670e-01) }},
- {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(2.2103404998779296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-9.4524463054363015830543554229266024611315133648646726829860103132985305860006657410579310878453671719e-01), SC_(-3.2636266396209619739852328880763978392918068940083223909131243802010656037702645968281828914985898722e-01), SC_(9.7793033147839850499560648584765033296353170435094191917820984988398156187728059208365609303718763468e-01) }},
- {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(3.0816698074340820312500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(3.8467092829206275416395221453254971947309775360749050985209931262282264520459122402381792953068010283e-02), SC_(9.9925986748656589242807594841179280186636858779886436718703277243900358292074844422479042190466225049e-01), SC_(9.9992973546117087872258976240789404601766963067622683679015332787486976781350082685530756477017893531e-01) }},
- {{ SC_(-1.6098388671875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(6.3235926628112792968750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(8.1828487869642382837142082205368890409594444563859603885036504087100530651689815737374300479572152806e-01), SC_(-5.7481288894454945115324043802657481607935129579981996144467071525751961910351319915758240211691782206e-01), SC_(8.5571342814553735162229894739444873282853333740663537333659164564589208017713251914590680386027272809e-01) }},
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+ {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(3.0816698074340820312500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-8.7591137819560965793227178075846254493991687812511266984816459225474516690755277726181572540400781692e-01), SC_(4.8247202773577212421607049007306835524095045191215664111886203507494519542708812099117851390243407605e-01), SC_(9.6288079930202121551356736451843753542939778244370285463921850847493493915725115345472885123365413983e-01) }},
+ {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(6.3235926628112792968750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-4.6250242396649649980482066020190351615612321919279456557494609907194412689120822625415608757186732226e-01), SC_(8.8661801686245645800217768700725799498166537819118235942894900353237994345457404176820430584219016246e-01), SC_(9.5627540398922768507958728734673192109735702301637317713655951281056100713965361590625156345008848052e-01) }},
+ {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(8.1472349166870117187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-1.1735531008826291520919245508896005477690524195845718339880048475212741686661323687535843820697763115e-01), SC_(-9.9308999148822744363057759901009520225182513004952136286524553869898571573704761432739426689545184600e-01), SC_(9.9541866617977664359846799474228301142404409511589411389238630589212796142638172458066619231854538725e-01) }},
+ {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(8.3500838279724121093750000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-2.5661560264047896550977697577574285271994983541443544067356972715404806414952219948705677776708497000e-01), SC_(9.6651354490325887257750254185816231220218423716636053686841904330333698328423906111679391851744157820e-01), SC_(9.7677311539491902219065627087092296908401907255979252384756489646051968319678552175412452558572875080e-01) }},
+ {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.0579175949096679687500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-2.3043688031022365976100265167863985776533246242764453911544714145699594137367180026912374835735577553e-01), SC_(-9.7308727470504497158374043000785726585723147362213332885195842776034698222933783780401814107209214425e-01), SC_(9.7797376965032175821022437157898388837314600109117623736975241337618528076029566654878957935590182792e-01) }},
+ {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.1337585449218750000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(9.7024515945744297738657357466434755079331657796883714801833862664891641843430559561966177382852691399e-01), SC_(2.4212461780950951071551165255952297503000013061390990430320407464582844014750946659296356182356525586e-01), SC_(4.6330574762904332411829744686422163790342838342235753322328220006082956185458756739898418452935999869e-01) }},
       {{ SC_(1.9858453369140625000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+02), SC_(9.6886777877807617187500000000000000000000000000000000000000000000000000000000000000000000000000000000e-01), SC_(-9.6271921666412527706611162998623278828344436746037642935689292731054871089839252562699168099269047894e-01), SC_(-2.7050269844423550857864806232371501929916695397580524032916105445727409203649388936347088607548210605e-01), SC_(3.6052997174588038100329734639411992177585754440288098151836194079410246809516008674605501002506176314e-01) }}
    }};
//#undef SC_

Modified: trunk/libs/math/test/jacobi_near_1.ipp
==============================================================================
--- trunk/libs/math/test/jacobi_near_1.ipp (original)
+++ trunk/libs/math/test/jacobi_near_1.ipp 2012-08-01 12:32:48 EDT (Wed, 01 Aug 2012)
@@ -1,346 +1,353 @@
+// Copyright John Maddock 2012.
+
+// 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)
+
#ifndef SC_
# define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
#endif
    static const boost::array<boost::array<T, 5>, 340> jacobi_near_1 = {{
- {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000004768371582031250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9936124862178929657881621645181864085183918423681860187396785862520605717123413406685399380582107113e-01), SC_(3.5736462515171262671173658796361885282655550407797367368767246967565775142270960241294075546367351927e-02), SC_(3.5723133911895480121899640922445600550831965573961005650871698226561870552026541364948342613336582806e-02) }},
- {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000014305114746093750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9936077436182305740265762942505880070947367818181132794898773596144577761932318153752214737153329561e-01), SC_(3.5749722613432715628553169307272741195011102329188833383668050964850356815583084732679478209132508739e-02), SC_(3.5709736745792682671599404581373263526701044801333523535341814550620045496488948203712498732057017070e-02) }},
- {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000033378601074218750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9935982531025601614500364655259025282505814635665229090640399025716517540590131557526316221367105587e-01), SC_(3.5776242897411389640336798137070232128793830106896650516594399176561812055650730083125160534386857905e-02), SC_(3.5682942269816429157188838670831408020383121223997457406594651516016868258020580067207389880661065297e-02) }},
- {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000042915344238281250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9935935051865263915735047486113654526010249743927673270177761276038424843029985650910155418309910845e-01), SC_(3.5789503083121607415749831967541532808130587365952231223694356024503294702063563047398592898634045898e-02), SC_(3.5669544959949864105435637819287301450816005044070102625046909813700756220300841914735887869992226382e-02) }},
- {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000147819519042968750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9935411611454537922604681816673279309149514529840821022380007801210707169443456723123140131191273797e-01), SC_(3.5935367048574188596130658870586603259325678077312780894068903977052012489188410600116295423084873594e-02), SC_(3.5522171389827658240024209410574445295562666383769236088207845918964017440183503252721885546279178521e-02) }},
- {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000290870666503906250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9934694373075237465634151921066970602357861542329676509188178432941256915556744220631478917655855971e-01), SC_(3.6134278130390913627609094654640317241259878826206151457813687944589213129451776496300461550369058584e-02), SC_(3.5321198095556949417067313300717675686827259252339991668193302765590470280891859038544561861120273525e-02) }},
- {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000371932983398437500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9934286167753124814131392571342776632513909244848527380521892160554807524960808842808040249611793657e-01), SC_(3.6246997312365705419622654899909043653736234860893527625677781635672768579458759093245682453664911900e-02), SC_(3.5207308451560232414054205505237899944531489182512040097012760453521655141311995420890008689715696573e-02) }},
- {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000996589660644531250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9931097620864165027219465310031542946941250827291810334804095750671116621959312074419161413137564784e-01), SC_(3.7115668240402753402689250059917062222914595826608378093934126249222135687424925800143195563100714367e-02), SC_(3.4329572580251660446610503280495506358429580145905143796049996103343889948196804594921179632733199316e-02) }},
- {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0001597404479980468750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9927958990572377979840922995352718001556928368962504869163503233477958808920244802834130239693182256e-01), SC_(3.7951300344632531849121062722660432211073826380488963469452361292471727250417761710007993570196150397e-02), SC_(3.3485145517244791669270158219919377826756232555597493366342767643308973856626129103762653029721538067e-02) }},
- {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0002679824829101562500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9922126738572525883615985096934737542379246872162570557721278008482614426793068921887463636739257892e-01), SC_(3.9457050118640992430999735288370836965982117887075206057330612359482953959031548073429030863323308119e-02), SC_(3.1963362733204485362415093423863407199447848854193799452188513745779920844752052440282754193164327043e-02) }},
- {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0007553100585937500000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9893032851875707688561830988272894258600328658118144172720086651889951652362299650709125447015552495e-01), SC_(4.6240661385928097466067420828933763850527867003804137146601696125664302459519863236590458981093024575e-02), SC_(2.5104568923475994083987155204747891917416311244009618734097942128126480441578326069647043926175848547e-02) }},
- {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0012483596801757812500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9858861863794450821691883948411704365274249753358965103850267796074469645752772267528127337525272991e-01), SC_(5.3110928505928287442257797909322905597834515794113431687558113958412726965037911230281021368296317952e-02), SC_(1.8153237543155462803067836701096459698569047964241988599087152572358359059054049298308131438716438194e-02) }},
- {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0023207664489746093750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9768013419211395389844759575957044763860216650562470815234213356993397846622838414826864478393798484e-01), SC_(6.8076059216184755781840577950311038573406706672675088844600265894103208744445519993559300403103933746e-02), SC_(2.9943999715622324848586115105215220299985513048294403527193588267688062368550605670306861278056228327e-03) }},
- {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0060424804687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9275223561439943369665678089317248964119678445427980155471655857570286843157774469401717822210675502e-01), SC_(1.2017902763216197969677315152451453633920175705926357660874751861325404020389385327834653677322322067e-01), SC_(-4.9965954272454113037709486732652160303751311444701747699562340013704865808780400007504197732543057380e-02) }},
- {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0155692100524902343750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.6735637154027865337130077405912181415705275746255993415024144757583603881348060995488920488911672649e-01), SC_(2.5341990932132061632299610199618871011222636428088359622618311788654236921637295363303486915660247366e-01), SC_(-1.8669803992671241292637737591564312105410623529773567523326462874859967205170061052766876529350597205e-01) }},
- {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0305857658386230468750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-8.9037307644999185961891548066152364082934652825389480690284822126953747572423134779233931568896247709e-01), SC_(4.5523157264515051576165746439917285541212023356220966397336337241653186704837219828020641191437049015e-01), SC_(-3.9749158628350816926566949245343979471653384960565298443009459540951029451206974073879850780006389752e-01) }},
- {{ SC_(-4.0245971679687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0623893737792968750000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-6.0719134559454416707104305589573667628292047048469766163025850056085681130949692218928367444627674035e-01), SC_(7.9455564300751576105470945564292159344239444001338371721114375059096583894484473548719583963149859832e-01), SC_(-7.6412041425334888578087126653697299732010050441086783313382612821550919553001092840088361833581189685e-01) }},
- {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000004768371582031250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9884941771767374068845949560764111778511322805191229385025226734820765467112509736638548364923940404e-01), SC_(4.7956654648381339311038559193943126801582338467442869043122959184810391359715831466879439189897340727e-02), SC_(4.7946733400930347798831724061773506453356261521274285436701505289849800332902629782014328403231797354e-02) }},
- {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000014305114746093750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9884894542085558748198261281226665105707563473967662902233717417789919585586365668107117785676748824e-01), SC_(4.7966490716380906776917513236059635732930235137306330473936925478681743604444507244368925503697776871e-02), SC_(4.7936726935099251332962549955311982568754220652884694250178964216891229721756133703724300833417873220e-02) }},
- {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000033378601074218750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9884800053322777518286027010639325944449428672631354491199619955982388715763941232935413635713386273e-01), SC_(4.7986162909457619436784171981217094349436045665061053131020958274641500350267899222178077906620064086e-02), SC_(4.7916713904809832240694854347114515405949031305739202442950366657403369649264440385034724801113437354e-02) }},
- {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000042915344238281250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9884752794241685177281814388034819622266182061836822776376735766050551822913199661813487761171553118e-01), SC_(4.7995999034531894188181061791780007699592547063320373697384757078514183641285191596718326417467373772e-02), SC_(4.7906707340354307698066856396015402719730742594732622218887608495079435724059545842872281711027901343e-02) }},
- {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000147819519042968750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9884232297543326038608770002890771616117881226724123750877069057326172687020106828624715574982686243e-01), SC_(4.8104197665487255566450445334046446860024366559464112650876503175575173522280411224172226191479757093e-02), SC_(4.7796632962098612434876534391677461366778071717138792900598918391188478278146891016197818628413892516e-02) }},
- {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000290870666503906250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9883520618188656094442545723741889112072524137858741950795911346620393446252964875214651661121158311e-01), SC_(4.8251744958997729782856355993831530775258031132830738841168426330430358644767129149212735614987033393e-02), SC_(4.7646525130527562772454137301364959335446518913076001744796272588168522535454015225744735632981096234e-02) }},
- {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000371932983398437500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9883116354307066375357648023573603071848031304015961899178849367381945566316461842889014769257016251e-01), SC_(4.8335356988395413823116124116965570034960397598529377901503533920747148842234337683758463899757491677e-02), SC_(4.7561460746209608329387379461055246799942952449896525646960067576756892567585755712817712026688217943e-02) }},
- {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000996589660644531250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9879977386187957378421584308268955720754710834656872025770372117930851502380130941673515536407903258e-01), SC_(4.8979707363950480825462856407705054171535100231494828482031076682070644607992828836462101165987634001e-02), SC_(4.6905885124410934801365709020446864739215036952801770179504371287944255612531666050428145953083479929e-02) }},
- {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0001597404479980468750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9876918533209429301847668105942393964506072473372678163817667069368803591028328738127139425992104707e-01), SC_(4.9599540633605490351595738331650863461228130910801032634454858207552088074852228196398880355656626972e-02), SC_(4.6275198977371426876988957737001427834950148778468835405976221025560682864073752302857007809789671278e-02) }},
- {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0002679824829101562500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9871309469784108153217075732685412542923014074289296889075241954178785619479870059717722817000268388e-01), SC_(5.0716412324425238255863353821098353785851543326334904112739303539383628170392015657141530299160026178e-02), SC_(4.5138636089666923850886980782504691325294057987373770645625196731894179709070622317602006304584277816e-02) }},
- {{ SC_(-3.7301321029663085937500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0007553100585937500000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-9.9844488576463040849667006713557075070979541720020951503058388950804407348075464568603069085585652741e-01), SC_(5.5747736191294206286918350505202186358057536911360398778472260156311743588118293052930563147292452169e-02), SC_(4.0016446286618777391516143355010334736500463418001764201909725908665568010714905993948947357429081489e-02) }},
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+ {{ SC_(4.9288120269775390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000996589660644531250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9983961262556458105411816513386501069818868254597543899979739851713011745549242090003291863043360816e-01), SC_(1.7909467461679579613865846453127030740431683822307987641233759491974468137156343038472584788153719816e-02), SC_(1.1022027714560253639775210637358170803625731907710762268322205147523210932800679750596051078399995227e-02) }},
+ {{ SC_(4.9288120269775390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0001597404479980468750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9980030256396930887191418644879858746499286116603833140948641674242316282708649788931471360377120948e-01), SC_(1.9983868319107415100192575817218448002872334427605112144785457794197957548974963015124500960330632884e-02), SC_(8.9429400350182931102462515246756092360839543295569327418622781093899967392101579075705047283542737083e-03) }},
+ {{ SC_(4.9288120269775390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0002679824829101562500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9971859410574829149542055218946133495999998703062622308574286556112837670807622495531498983998552142e-01), SC_(2.3721985566686811501553785842504292265143700801159531093582400523199741127440730181223853049104697981e-02), SC_(5.1959084061760747247216972187443738573816595465178798376919099189683106332314686770218982589845777935e-03) }},
+ {{ SC_(4.9288120269775390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0007553100585937500000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9917693553108610108245187459387110710867895185036028369250080655683477578951699279752986546417196886e-01), SC_(4.0564165253432854495962739719292670877985837287590190952513658424683411183252903298570906316652973652e-02), SC_(-1.1693907948011891736346399073379369646285263939726984396456303809247557032844131792753244452252911330e-02) }},
+ {{ SC_(4.9288120269775390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0012483596801757812500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9833862714223532498010744688715977461168806598690747288717525459318863541168129207120227886401126061e-01), SC_(5.7619315821665505755807469277023845728196594181676552014891883345476566794225348418090613651544831445e-02), SC_(-2.8809755979513188208763166052264396245596987730186982112445949120233730597575117085318376369502829889e-02) }},
+ {{ SC_(4.9288120269775390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0023207664489746093750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9550282813148011187442008796193919282450391517768171678499412663145272607895548134555661363567896104e-01), SC_(9.4731827715001728394842167045083404424880502660480023599099701680830517630055158928067584272630580487e-02), SC_(-6.6097672659470430511445565993386991293723042460980621503600493772708300136816834870939899267701630847e-02) }},
+ {{ SC_(4.9288120269775390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0060424804687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.7488580947363208179564147601546168112866226007237931556521707915803372220062773907383454915316416844e-01), SC_(2.2270531759915641564428390959261643237507268828655875813370441187815589236168955504059138988493898375e-01), SC_(-1.9513426821812310447331250709147993510680832240493081023161860752378383411231604144945171703488569462e-01) }},
+ {{ SC_(4.9288120269775390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0155692100524902343750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(8.5047999201852727152029200141398691946094097189026959484621720440391252384040853131710884789523146140e-01), SC_(5.2600739840440057115641306993358779565840766907499100219100954734337117943149800710956696665520559890e-01), SC_(-5.0396976782224493807852110187351280318514711081254077576732604138847199181605549483495869758913976615e-01) }},
+ {{ SC_(4.9288120269775390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0305857658386230468750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(5.1327981487051663560323287861487799526557318426357663133754105221861872520039091818400141712658488619e-01), SC_(8.5822131856910206307975755122650869086923193783068105639211083604153599058747147318033641183682450386e-01), SC_(-8.4863499452477025561188325402717974396821766661061642322481772003670342956693044080319449123628917079e-01) }},
+ {{ SC_(4.9288120269775390625000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0623893737792968750000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-1.8874998553523563180450407596677553759443297406638077877671888636968292269342250146798578804443833955e-01), SC_(9.8202517430076523459567226815465938546160099991006357826594110965447969674969166451594194257839894548e-01), SC_(-9.7968838503511372732980355080304021286004233574178250953181773421728648476453800138580553004953114288e-01) }},
+ {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000004768371582031250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9990230743461869448445678791127692739855483254325094973521364638399647301470778701786295076066841344e-01), SC_(1.3977681743596834750245838542565526868788148525105907036279461386658032363829895912063967821083621420e-02), SC_(1.3943532504578029336223566464310890649533113683351630105746575474244424229833795304874920488538103241e-02) }},
+ {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000014305114746093750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9990182993959446195710647247229655789894087272192991018223122155551540595968020853239245484285382831e-01), SC_(1.4011798009189115440946424983203357697063506917213864415963408126171160102402517954920500108105330871e-02), SC_(1.3909350098446540137998040892200032362998230531072660409764206932461470850614753920053416867944340582e-02) }},
+ {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000033378601074218750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9990087145233340743687363148083709437365125661771030890303935547815366122351784383668727269614239538e-01), SC_(1.4080030854519553869387256354091022075006611901455012492968743022297026887056631461218922416611180400e-02), SC_(1.3840984826000562463507298586847289168517030032198014972508385303739709934919897327599510874817235727e-02) }},
+ {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000042915344238281250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9990039046007347560794974433795859349285564034207694616490402223275328043372974797633640062669854428e-01), SC_(1.4114147434138712802378427844951370551607420853342810579186545315810682561759933627157193849677482057e-02), SC_(1.3806801959804658372619591398212092857153153412847966912073167823894243759539600291883375485071922556e-02) }},
+ {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000147819519042968750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9989502260196613653978264216146024156399873063751297730606299366512347908431919053242252316860296003e-01), SC_(1.4489436697595561124507049144255123371288526433896118736440705972120404661097924241761764708299954793e-02), SC_(1.3430780331105131752185610702820021510950585065908804323267469964167723504319244050213738571874089978e-02) }},
+ {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000290870666503906250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9988747544293069353066537829179260575882047757007492549019748069539230620040354484126779384912576694e-01), SC_(1.5001215029545749933847659975864641865931391330840461915721059755185086271628874400178167869847889009e-02), SC_(1.2917993826264694721926108892215877113225794890847741738148129932526099630756216503817814024316857591e-02) }},
+ {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000371932983398437500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9988308226099731657983151576240197041049174012751792764812244409087930727657331644783678448792904087e-01), SC_(1.5291233051905047096038520294638906781972874594444499867815398497101742249334516320782151364484948558e-02), SC_(1.2627399643574478880468698035197591815527455130858562493759790443716432493078723746069108350777491985e-02) }},
+ {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0000996589660644531250000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9984640219639140402613273019667554862930150639016202863777830939274528021875552024478939209428846017e-01), SC_(1.7526323485885982097641938428519069579260358421271219311888913372990209058618455439095372023020540344e-02), SC_(1.0387751384930428488122047379910627057886096355738392117524671170521488626705245794637004721422908426e-02) }},
+ {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0001597404479980468750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9980639884593669404425893776595290662877785980161533745963098103525238097471831481848178344690376077e-01), SC_(1.9676504433454567937248530268282368308302071162458460119591299806242144124305023388268650598619695861e-02), SC_(8.2329894545034209975015153877461219543875964135604078659255758514717666391596123103417229683686485863e-03) }},
+ {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0002679824829101562500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9972263242283481540743599408497747360870457548541412998469672217116875570127792798886879974903796487e-01), SC_(2.3551183018216021253938001600501009008155573150038780116288028548084796733896793416599159415959118251e-02), SC_(4.3495699021134300166444124225546063387545267250507797699122981168308214469028322968675084635890943764e-03) }},
+ {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0007553100585937500000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9915879545421819350530688005623615186240544270827593274622412564050735515128475466608299752025526140e-01), SC_(4.1008553576976706311793253202245137451698422113077721150856829330199964424353347050839790650622532029e-02), SC_(-1.3154931678629558158982660699935247723551027344608329867102808264119755379967383078768146573341990972e-02) }},
+ {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0012483596801757812500000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9827648539531403745215917352563214138968446312144447102479978693505240691548978979441840473622948646e-01), SC_(5.8686103182775385959094432164210470495146664187835729337215293512993909532328740626483958923893141231e-02), SC_(-3.0893124798500284820335880409303644182778189826173654652430374404846006649343381743921738919251947699e-02) }},
+ {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0023207664489746093750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.9526992589997827420306117917427182178979741082729092965897483434868497193943333068777040666157481100e-01), SC_(9.7148209448510965618814190119451117927847310257093339481999337817751394945307795550093447421264799168e-02), SC_(-6.9532095588469802480589239010157975152091841708321990467488846359840797625840328044562828776517609113e-02) }},
+ {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0060424804687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(9.7327357090730138720367359153239323902247504897821653720406237386695349159240208217001492967466592893e-01), SC_(2.2964876697546228888931649787788742930944361620108470728002449961617243383843764035729632038084809597e-01), SC_(-2.0311659859397708228829612914540972881961033272228812487026550233039579579564016302202736438925829861e-01) }},
+ {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0155692100524902343750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(8.4069051112564740388498305703743050846741943876819566564676351892344788777074732833738047977587592836e-01), SC_(5.4151589496828042658602571182616923878595213758699386834940240440502083614232854508648303249637786229e-01), SC_(-5.2063493838617445779646407770009371209785483807741597530330738738065076402146210854614754006055477215e-01) }},
+ {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0305857658386230468750000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(4.8671357579638665629126370168770921319757407213502466576345439294626879685237098285286502834996393092e-01), SC_(8.7356161496227327149253838986791328231133879539230423927448398220130445285498224963240552394450600870e-01), SC_(-8.6509962228485538958789361261824061503929655387763193064181839580439422746694246738587153880942281811e-01) }},
       {{ SC_(4.9646129608154296875000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(1.0623893737792968750000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00), SC_(-2.2293187234404279005404405123453640992362355261738577610576210777344443465871289033909805344032394449e-01), SC_(9.7483402704931233304677248889105249284034868811789307005518001217555908178599047906139783223849231970e-01), SC_(-9.7154855780636670580019454689623684007923466283994781397066875280116362115119765459157832338091463773e-01) }}
    }};
//#undef SC_

Modified: trunk/libs/math/test/owens_t_T7.hpp
==============================================================================
--- trunk/libs/math/test/owens_t_T7.hpp (original)
+++ trunk/libs/math/test/owens_t_T7.hpp 2012-08-01 12:32:48 EDT (Wed, 01 Aug 2012)
@@ -1,4 +1,4 @@
-// (C) Benjamin Sobotta 2012
+// Copyright (C) Benjamin Sobotta 2012

// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
@@ -145,10 +145,10 @@
         val *= exp(-half<RealType>()*hs*as);
         val *= exp(-half<RealType>()*hs);
         val *= one_div_two_pi<RealType>() * a;
-
+
         return val;
       } // RealType compute_owens_t_T7(const RealType h, const RealType a)
-
+
       // compute Owen's T function, T(h,a), for arbitrary values of h and a
      template<typename RealType, class Policy>
      inline RealType owens_t_T7(RealType h, RealType a, const Policy&)
@@ -170,7 +170,7 @@
         {
            val = compute_owens_t_T7(h, fabs_a);
         } // if(fabs_a <= 1.0)
- else
+ else
         {
            if( h <= 0.67 )
            {
@@ -196,9 +196,9 @@

         return val;
       } // RealType owens_t(RealType h, RealType a)
-
+
     } // namespace detail
-
+
     template <class T1, class T2, class Policy>
     inline typename tools::promote_args<T1, T2>::type owens_t_T7(T1 h, T2 a, const Policy& pol)
     {
@@ -212,7 +212,7 @@
     {
        return owens_t_T7(h, a, policies::policy<>());
     }
-
+
   } // namespace math
} // namespace boost

Modified: trunk/libs/math/test/owens_t_large_data.ipp
==============================================================================
--- trunk/libs/math/test/owens_t_large_data.ipp (original)
+++ trunk/libs/math/test/owens_t_large_data.ipp 2012-08-01 12:32:48 EDT (Wed, 01 Aug 2012)
@@ -2,666 +2,667 @@
// 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)
+
#ifndef SC_
#define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
#endif
    static const boost::array<boost::array<T, 3>, 657> owens_t_large_data = {{
- {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(2.7544232754071888169814325928268239884486372691874342956812521082730648643186974640936808405777870468e-07) }},
- {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(2.1657506295014172792434692382812500000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(3.4468991818847944488358292096162674677254240401591803431829935684111943192188266678541525762196399584e-07) }},
- {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(7.2700186137808486819267272949218750000000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.1570593987311932421290676513166688187937163430741211292434026295198499510842189554839176055050374544e-06) }},
- {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.4000004739500582218170166015625000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(2.2281699574525694076153268820857826830055812284202546456173259636892591278545272175070257347473957471e-06) }},
- {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.7196449334733188152313232421875000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(2.7368999149782398254303511225955773937565838792307860324522944171713046852204658446919929065792444550e-06) }},
- {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(6.0085076256655156612396240234375000000000000000000000000000000000000000000000000000000000000000000000e-05), SC_(9.5628368807778517977859121445879678015097215977830989982024716756760879493692438419837710322114090046e-06) }},
- {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.1678319424390792846679687500000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(1.8586622549454356237914810697873043993635206365954012730510556735989900392568584658824015899162236906e-05) }},
- {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.4905200805515050888061523437500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(2.3722363684038706237945294842381666580083784201001212579385105433029945599357139440208530502011634474e-05) }},
- {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(3.9852515328675508499145507812500000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(6.3427244734060608269367960782024063961865409580776331380624911803749846156793249487878248545601531213e-05) }},
- {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(6.3875340856611728668212890625000000000000000000000000000000000000000000000000000000000000000000000000e-04), SC_(1.0166074856388151418367878313779849987420034318618585018302377265757651137097414111936620111406427125e-04) }},
- {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(1.0718167759478092193603515625000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(1.7058487265854326602682518279285919877142362926912968296718492493077609349871988400610440167118741999e-04) }},
- {{ SC_(1.7306551853835117071866989135742187500000000000000000000000000000000000000000000000000000000000000000e-06), SC_(3.0219145119190216064453125000000000000000000000000000000000000000000000000000000000000000000000000000e-03), SC_(4.8095116816577310187698736588393620680459824561821356129805868982439168323299871013712685313280875065e-04) }},
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    }};

Modified: trunk/libs/math/test/table_type.hpp
==============================================================================
--- trunk/libs/math/test/table_type.hpp (original)
+++ trunk/libs/math/test/table_type.hpp 2012-08-01 12:32:48 EDT (Wed, 01 Aug 2012)
@@ -1,3 +1,9 @@
+// Copyright John Maddock 2012.
+
+// 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)

#ifndef BOOST_MATH_TEST_TABLE_TYPE_HPP
#define BOOST_MATH_TEST_TABLE_TYPE_HPP

Modified: trunk/libs/math/test/test_constants.cpp
==============================================================================
--- trunk/libs/math/test/test_constants.cpp (original)
+++ trunk/libs/math/test/test_constants.cpp 2012-08-01 12:32:48 EDT (Wed, 01 Aug 2012)
@@ -24,7 +24,7 @@
#include <boost/test/floating_point_comparison.hpp>

#include <boost/math/constants/constants.hpp>
-#include <boost/math/tools/test.hpp>
+#include <boost/math/tools/test.hpp>
#include <boost/static_assert.hpp>
#include <boost/utility/enable_if.hpp>

@@ -91,7 +91,7 @@
    // it can never really have precision greater than a long double.

   typedef typename boost::math::constants::construction_traits<RealType, boost::math::policies::policy<> >::type construction_type;
- RealType tolerance = std::max(static_cast<RealType>(boost::math::tools::epsilon<long double>()), boost::math::tools::epsilon<RealType>()) * 2; // double
+ RealType tolerance = (std::max)(static_cast<RealType>(boost::math::tools::epsilon<long double>()), boost::math::tools::epsilon<RealType>()) * 2; // double
    if((construction_type::value == 0) && (boost::math::tools::digits<RealType>() > boost::math::constants::max_string_digits))
       tolerance *= 30; // Allow a little extra tolerance
    // for calculated (perhaps using a series representation) constants.
@@ -104,61 +104,63 @@
    using namespace boost::math::constants;
    BOOST_MATH_STD_USING

- BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L, pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L), root_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L/2), root_half_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L * 2), root_two_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(log(4.0L)), root_ln_four<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(2.71828182845904523536028747135266249775724709369995L, e<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(0.5L, half<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104259335L, euler<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(2.0L), root_two<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(log(2.0L), ln_two<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(log(log(2.0L)), ln_ln_two<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1)/3, third<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2)/3, twothirds<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(0.14159265358979323846264338327950288419716939937510L, pi_minus_three<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(4.L - 3.14159265358979323846264338327950288419716939937510L, four_minus_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L, pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L), root_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L/2), root_half_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L * 2), root_two_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(log(4.0L)), root_ln_four<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(2.71828182845904523536028747135266249775724709369995L, e<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(0.5L, half<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104259335L, euler<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(2.0L), root_two<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(log(2.0L), ln_two<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(log(10.0L), ln_ten<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(log(log(2.0L)), ln_ln_two<RealType>(), tolerance);
+
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1)/3, third<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2)/3, twothirds<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(0.14159265358979323846264338327950288419716939937510L, pi_minus_three<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(4.L - 3.14159265358979323846264338327950288419716939937510L, four_minus_pi<RealType>(), tolerance);
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- BOOST_CHECK_CLOSE_FRACTION(pow((4 - 3.14159265358979323846264338327950288419716939937510L), 1.5L), pow23_four_minus_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L), pi_pow_e<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 0.33333333333333333333333333333333333333333333333333L), cbrt_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(exp(-0.5L), exp_minus_half<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(pow(2.71828182845904523536028747135266249775724709369995L, 3.14159265358979323846264338327950288419716939937510L), e_pow_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(pow((4 - 3.14159265358979323846264338327950288419716939937510L), 1.5L), pow23_four_minus_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L), pi_pow_e<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 0.33333333333333333333333333333333333333333333333333L), cbrt_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(exp(-0.5L), exp_minus_half<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(pow(2.71828182845904523536028747135266249775724709369995L, 3.14159265358979323846264338327950288419716939937510L), e_pow_pi<RealType>(), tolerance);

#else // Only double, so no suffix L.
- BOOST_CHECK_CLOSE_FRACTION(pow((4 - 3.14159265358979323846264338327950288419716939937510), 1.5), pow23_four_minus_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995), pi_pow_e<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333), cbrt_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(exp(-0.5), exp_minus_half<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(pow((4 - 3.14159265358979323846264338327950288419716939937510), 1.5), pow23_four_minus_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995), pi_pow_e<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333), cbrt_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(exp(-0.5), exp_minus_half<RealType>(), tolerance);
#endif
    // Rational fractions.
- BOOST_CHECK_CLOSE_FRACTION(0.333333333333333333333333333333333333333L, third<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(0.666666666666666666666666666666666666667L, two_thirds<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(0.75L, three_quarters<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(0.333333333333333333333333333333333333333L, third<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(0.666666666666666666666666666666666666667L, two_thirds<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(0.75L, three_quarters<RealType>(), tolerance);
    // Two and related.
- BOOST_CHECK_CLOSE_FRACTION(sqrt(2.L), root_two<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(3.L), root_three<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(2.L)/2, half_root_two<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(log(2.L), ln_two<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(log(log(2.0L)), ln_ln_two<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(log(4.0L)), root_ln_four<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(1/sqrt(2.0L), one_div_root_two<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(2.L), root_two<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(3.L), root_three<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(2.L)/2, half_root_two<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(log(2.L), ln_two<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(log(log(2.0L)), ln_ln_two<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(log(4.0L)), root_ln_four<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(1/sqrt(2.0L), one_div_root_two<RealType>(), tolerance);

    // pi.
- BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L, pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/2, half_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/3, third_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/6, sixth_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(2 * 3.14159265358979323846264338327950288419716939937510L, two_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(3 * 3.14159265358979323846264338327950288419716939937510L / 4, three_quarters_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(4 * 3.14159265358979323846264338327950288419716939937510L / 3, four_thirds_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(1 / (2 * 3.14159265358979323846264338327950288419716939937510L), one_div_two_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L), root_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L / 2), root_half_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(2 * 3.14159265358979323846264338327950288419716939937510L), root_two_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(1 / sqrt(3.14159265358979323846264338327950288419716939937510L), one_div_root_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L, pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/2, half_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/3, third_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/6, sixth_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(2 * 3.14159265358979323846264338327950288419716939937510L, two_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(3 * 3.14159265358979323846264338327950288419716939937510L / 4, three_quarters_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(4 * 3.14159265358979323846264338327950288419716939937510L / 3, four_thirds_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(1 / (2 * 3.14159265358979323846264338327950288419716939937510L), one_div_two_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L), root_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L / 2), root_half_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(2 * 3.14159265358979323846264338327950288419716939937510L), root_two_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(1 / sqrt(3.14159265358979323846264338327950288419716939937510L), one_div_root_pi<RealType>(), tolerance);
    BOOST_CHECK_CLOSE_FRACTION(1 / sqrt(2 * 3.14159265358979323846264338327950288419716939937510L), one_div_root_two_pi<RealType>(), tolerance);
    BOOST_CHECK_CLOSE_FRACTION(sqrt(1. / 3.14159265358979323846264338327950288419716939937510L), root_one_div_pi<RealType>(), tolerance);
    BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L - 3.L, pi_minus_three<RealType>(), tolerance * 2 ); // tolerance * 2 because of cancellation loss.
@@ -171,11 +173,11 @@
    BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L, pi_cubed<RealType>(), tolerance); // See above.

    // BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L, cbrt_pi<RealType>(), tolerance); // See above.
- BOOST_CHECK_CLOSE_FRACTION(cbrt_pi<RealType>() * cbrt_pi<RealType>() * cbrt_pi<RealType>(), pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION((1)/cbrt_pi<RealType>(), one_div_cbrt_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(cbrt_pi<RealType>() * cbrt_pi<RealType>() * cbrt_pi<RealType>(), pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION((1)/cbrt_pi<RealType>(), one_div_cbrt_pi<RealType>(), tolerance);

    // Euler
- BOOST_CHECK_CLOSE_FRACTION(2.71828182845904523536028747135266249775724709369995L, e<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(2.71828182845904523536028747135266249775724709369995L, e<RealType>(), tolerance);

    //BOOST_CHECK_CLOSE_FRACTION(exp(-0.5L), exp_minus_half<RealType>(), tolerance); // See above.
    BOOST_CHECK_CLOSE_FRACTION(pow(e<RealType>(), pi<RealType>()), e_pow_pi<RealType>(), tolerance); // See also above.
@@ -207,7 +209,7 @@
    BOOST_CHECK_CLOSE_FRACTION(.91596559417721901505460351493238411077414937428167213L, catalan<RealType>(), tolerance); // A006752 as a constant in OEIS.
    BOOST_CHECK_CLOSE_FRACTION(1.1395470994046486574927930193898461120875997958365518247216557100852480077060706857071875468869385150L, extreme_value_skewness<RealType>(), tolerance); // Mathematica: N[12 Sqrt[6] Zeta[3]/Pi^3, 1101]
    BOOST_CHECK_CLOSE_FRACTION(0.6311106578189371381918993515442277798440422031347194976580945856929268196174737254599050270325373067L, rayleigh_skewness<RealType>(), tolerance); // Mathematica: N[2 Sqrt[Pi] (Pi - 3)/((4 - Pi)^(3/2)), 1100]
- BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01L, rayleigh_kurtosis_excess<RealType>(), tolerance * 2);
+ BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01L, rayleigh_kurtosis_excess<RealType>(), tolerance * 2);
    BOOST_CHECK_CLOSE_FRACTION(2.68545200106530644530971483548179569382038229399446295305115234555721885953715200280114117493184769799515L, khinchin<RealType>(), tolerance ); // A002210 as a constant https://oeis.org/A002210/constant
    BOOST_CHECK_CLOSE_FRACTION(1.2824271291006226368753425688697917277676889273250011L, glaisher<RealType>(), tolerance ); // https://oeis.org/A074962/constant

@@ -217,20 +219,20 @@
    if(boost::math::tools::digits<RealType>() > boost::math::constants::max_string_digits)
    {
       // This suffers from cancellation error, so increased tolerance:
- BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(4. - 3.14159265358979323846264338327950288419716939937510L), four_minus_pi<RealType>(), tolerance * 3);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(0.14159265358979323846264338327950288419716939937510L), pi_minus_three<RealType>(), tolerance * 3);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(4. - 3.14159265358979323846264338327950288419716939937510L), four_minus_pi<RealType>(), tolerance * 3);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(0.14159265358979323846264338327950288419716939937510L), pi_minus_three<RealType>(), tolerance * 3);
    }
    else
    {
- BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(4. - 3.14159265358979323846264338327950288419716939937510L), four_minus_pi<RealType>(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(0.14159265358979323846264338327950288419716939937510L), pi_minus_three<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(4. - 3.14159265358979323846264338327950288419716939937510L), four_minus_pi<RealType>(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<RealType>(0.14159265358979323846264338327950288419716939937510L), pi_minus_three<RealType>(), tolerance);
    }
} // template <class RealType>void test_spots(RealType)

void test_float_spots()
{
- // Basic sanity checks for constants in boost::math::float_constants::
- // for example: boost::math::float_constants::pi
+ // Basic sanity checks for constants in boost::math::float_constants::
+ // for example: boost::math::float_constants::pi
    // (rather than boost::math::constants::pi<float>() ).

    float tolerance = boost::math::tools::epsilon<float>() * 2;
@@ -238,61 +240,61 @@
    using namespace boost::math::float_constants;
    BOOST_MATH_STD_USING

- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F), pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F)), root_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F/2)), root_half_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F * 2)), root_two_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(log(4.0F))), root_ln_four, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2.71828182845904523536028747135266249775724709369995F), e, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.5), half, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.57721566490153286060651209008240243104259335F), euler, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(2.0F)), root_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(log(2.0F)), ln_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(log(log(2.0F))), ln_ln_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1)/3, third, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2)/3, twothirds, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.14159265358979323846264338327950288419716939937510F), pi_minus_three, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(4.F - 3.14159265358979323846264338327950288419716939937510F), four_minus_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F), pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F)), root_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F/2)), root_half_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F * 2)), root_two_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(log(4.0F))), root_ln_four, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2.71828182845904523536028747135266249775724709369995F), e, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.5), half, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.57721566490153286060651209008240243104259335F), euler, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(2.0F)), root_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(log(2.0F)), ln_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(log(log(2.0F))), ln_ln_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1)/3, third, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2)/3, twothirds, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.14159265358979323846264338327950288419716939937510F), pi_minus_three, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(4.F - 3.14159265358979323846264338327950288419716939937510F), four_minus_pi, tolerance);
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((4 - 3.14159265358979323846264338327950288419716939937510F), 1.5F)), pow23_four_minus_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510F), 2.71828182845904523536028747135266249775724709369995F)), pi_pow_e, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510F), 0.33333333333333333333333333333333333333333333333333F)), cbrt_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(exp(-0.5F)), exp_minus_half, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow(2.71828182845904523536028747135266249775724709369995F, 3.14159265358979323846264338327950288419716939937510F)), e_pow_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((4 - 3.14159265358979323846264338327950288419716939937510F), 1.5F)), pow23_four_minus_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510F), 2.71828182845904523536028747135266249775724709369995F)), pi_pow_e, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510F), 0.33333333333333333333333333333333333333333333333333F)), cbrt_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(exp(-0.5F)), exp_minus_half, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow(2.71828182845904523536028747135266249775724709369995F, 3.14159265358979323846264338327950288419716939937510F)), e_pow_pi, tolerance);

#else // Only double, so no suffix F.
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((4 - 3.14159265358979323846264338327950288419716939937510), 1.5)), pow23_four_minus_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333)), cbrt_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(exp(-0.5)), exp_minus_half, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((4 - 3.14159265358979323846264338327950288419716939937510), 1.5)), pow23_four_minus_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333)), cbrt_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(exp(-0.5)), exp_minus_half, tolerance);
#endif
    // Rational fractions.
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.333333333333333333333333333333333333333F), third, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.666666666666666666666666666666666666667F), two_thirds, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.75F), three_quarters, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.333333333333333333333333333333333333333F), third, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.666666666666666666666666666666666666667F), two_thirds, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(0.75F), three_quarters, tolerance);
    // Two and related.
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(2.F)), root_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.F)), root_three, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(2.F)/2), half_root_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(log(2.F)), ln_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(log(log(2.0F))), ln_ln_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(log(4.0F))), root_ln_four, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1/sqrt(2.0F)), one_div_root_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(2.F)), root_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.F)), root_three, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(2.F)/2), half_root_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(log(2.F)), ln_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(log(log(2.0F))), ln_ln_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(log(4.0F))), root_ln_four, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1/sqrt(2.0F)), one_div_root_two, tolerance);

    // pi.
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F), pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F/2), half_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F/3), third_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F/6), sixth_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2 * 3.14159265358979323846264338327950288419716939937510F), two_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3 * 3.14159265358979323846264338327950288419716939937510F / 4), three_quarters_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(4 * 3.14159265358979323846264338327950288419716939937510F / 3), four_thirds_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1 / (2 * 3.14159265358979323846264338327950288419716939937510F)), one_div_two_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F)), root_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F / 2)), root_half_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(2 * 3.14159265358979323846264338327950288419716939937510F)), root_two_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1 / sqrt(3.14159265358979323846264338327950288419716939937510F)), one_div_root_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F), pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F/2), half_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F/3), third_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F/6), sixth_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2 * 3.14159265358979323846264338327950288419716939937510F), two_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3 * 3.14159265358979323846264338327950288419716939937510F / 4), three_quarters_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(4 * 3.14159265358979323846264338327950288419716939937510F / 3), four_thirds_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1 / (2 * 3.14159265358979323846264338327950288419716939937510F)), one_div_two_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F)), root_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(3.14159265358979323846264338327950288419716939937510F / 2)), root_half_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(2 * 3.14159265358979323846264338327950288419716939937510F)), root_two_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1 / sqrt(3.14159265358979323846264338327950288419716939937510F)), one_div_root_pi, tolerance);
    BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(1 / sqrt(2 * 3.14159265358979323846264338327950288419716939937510F)), one_div_root_two_pi, tolerance);
    BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(sqrt(1. / 3.14159265358979323846264338327950288419716939937510F)), root_one_div_pi, tolerance);
    BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510L - 3.L), pi_minus_three, tolerance * 2 ); // tolerance * 2 because of cancellation loss.
@@ -305,11 +307,11 @@
    BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F * 3.14159265358979323846264338327950288419716939937510F * 3.14159265358979323846264338327950288419716939937510F), pi_cubed, tolerance); // See above.

    // BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(3.14159265358979323846264338327950288419716939937510F * 3.14159265358979323846264338327950288419716939937510F), cbrt_pi, tolerance); // See above.
- BOOST_CHECK_CLOSE_FRACTION(cbrt_pi * cbrt_pi * cbrt_pi, pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION((static_cast<float>(1)/cbrt_pi), one_div_cbrt_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(cbrt_pi * cbrt_pi * cbrt_pi, pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION((static_cast<float>(1)/cbrt_pi), one_div_cbrt_pi, tolerance);

    // Euler
- BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2.71828182845904523536028747135266249775724709369995F), e, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(2.71828182845904523536028747135266249775724709369995F), e, tolerance);

    //BOOST_CHECK_CLOSE_FRACTION(static_cast<float>(exp(-0.5F)), exp_minus_half, tolerance); // See above.
    BOOST_CHECK_CLOSE_FRACTION(pow(e, pi), e_pow_pi, tolerance); // See also above.
@@ -341,7 +343,7 @@
    BOOST_CHECK_CLOSE_FRACTION(.91596559417721901505460351493238411077414937428167213F, catalan, tolerance); // A006752 as a constant in OEIS.
    BOOST_CHECK_CLOSE_FRACTION(1.1395470994046486574927930193898461120875997958365518247216557100852480077060706857071875468869385150F, extreme_value_skewness, tolerance); // Mathematica: N[12 Sqrt[6] Zeta[3]/Pi^3, 1101]
    BOOST_CHECK_CLOSE_FRACTION(0.6311106578189371381918993515442277798440422031347194976580945856929268196174737254599050270325373067F, rayleigh_skewness, tolerance); // Mathematica: N[2 Sqrt[Pi] (Pi - 3)/((4 - Pi)^(3/2)), 1100]
- BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01F, rayleigh_kurtosis_excess, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01F, rayleigh_kurtosis_excess, tolerance);
    BOOST_CHECK_CLOSE_FRACTION(2.68545200106530644530971483548179569382038229399446295305115234555721885953715200280114117493184769799515F, khinchin, tolerance ); // A002210 as a constant https://oeis.org/A002210/constant
    BOOST_CHECK_CLOSE_FRACTION(1.2824271291006226368753425688697917277676889273250011F, glaisher, tolerance ); // https://oeis.org/A074962/constant

@@ -350,7 +352,7 @@
void test_double_spots()
{
    // Basic sanity checks for constants in boost::math::double_constants::
- // for example: boost::math::double_constants::pi
+ // for example: boost::math::double_constants::pi
    // (rather than boost::math::constants::pi<double>() ).

    double tolerance = boost::math::tools::epsilon<double>() * 2;
@@ -358,61 +360,61 @@
    using namespace boost::math::double_constants;
    BOOST_MATH_STD_USING

- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510), pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510)), root_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510/2)), root_half_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510 * 2)), root_two_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(log(4.0))), root_ln_four, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2.71828182845904523536028747135266249775724709369995), e, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.5), half, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.57721566490153286060651209008240243104259335), euler, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(2.0)), root_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(log(2.0)), ln_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(log(log(2.0))), ln_ln_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1)/3, third, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2)/3, twothirds, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.14159265358979323846264338327950288419716939937510), pi_minus_three, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(4. - 3.14159265358979323846264338327950288419716939937510), four_minus_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510), pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510)), root_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510/2)), root_half_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510 * 2)), root_two_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(log(4.0))), root_ln_four, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2.71828182845904523536028747135266249775724709369995), e, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.5), half, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.57721566490153286060651209008240243104259335), euler, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(2.0)), root_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(log(2.0)), ln_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(log(log(2.0))), ln_ln_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1)/3, third, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2)/3, twothirds, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.14159265358979323846264338327950288419716939937510), pi_minus_three, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(4. - 3.14159265358979323846264338327950288419716939937510), four_minus_pi, tolerance);
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((4 - 3.14159265358979323846264338327950288419716939937510), 1.5)), pow23_four_minus_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333)), cbrt_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(exp(-0.5)), exp_minus_half, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow(2.71828182845904523536028747135266249775724709369995, 3.14159265358979323846264338327950288419716939937510)), e_pow_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((4 - 3.14159265358979323846264338327950288419716939937510), 1.5)), pow23_four_minus_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333)), cbrt_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(exp(-0.5)), exp_minus_half, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow(2.71828182845904523536028747135266249775724709369995, 3.14159265358979323846264338327950288419716939937510)), e_pow_pi, tolerance);

#else // Only double, so no suffix .
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((4 - 3.14159265358979323846264338327950288419716939937510), 1.5)), pow23_four_minus_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333)), cbrt_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(exp(-0.5)), exp_minus_half, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((4 - 3.14159265358979323846264338327950288419716939937510), 1.5)), pow23_four_minus_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333)), cbrt_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(exp(-0.5)), exp_minus_half, tolerance);
#endif
    // Rational fractions.
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.333333333333333333333333333333333333333), third, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.666666666666666666666666666666666666667), two_thirds, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.75), three_quarters, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.333333333333333333333333333333333333333), third, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.666666666666666666666666666666666666667), two_thirds, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(0.75), three_quarters, tolerance);
    // Two and related.
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(2.)), root_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.)), root_three, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(2.)/2), half_root_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(log(2.)), ln_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(log(log(2.0))), ln_ln_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(log(4.0))), root_ln_four, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1/sqrt(2.0)), one_div_root_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(2.)), root_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.)), root_three, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(2.)/2), half_root_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(log(2.)), ln_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(log(log(2.0))), ln_ln_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(log(4.0))), root_ln_four, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1/sqrt(2.0)), one_div_root_two, tolerance);

    // pi.
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510), pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510/2), half_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510/3), third_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510/6), sixth_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2 * 3.14159265358979323846264338327950288419716939937510), two_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3 * 3.14159265358979323846264338327950288419716939937510 / 4), three_quarters_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(4 * 3.14159265358979323846264338327950288419716939937510 / 3), four_thirds_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1 / (2 * 3.14159265358979323846264338327950288419716939937510)), one_div_two_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510)), root_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510 / 2)), root_half_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(2 * 3.14159265358979323846264338327950288419716939937510)), root_two_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1 / sqrt(3.14159265358979323846264338327950288419716939937510)), one_div_root_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510), pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510/2), half_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510/3), third_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510/6), sixth_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2 * 3.14159265358979323846264338327950288419716939937510), two_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3 * 3.14159265358979323846264338327950288419716939937510 / 4), three_quarters_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(4 * 3.14159265358979323846264338327950288419716939937510 / 3), four_thirds_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1 / (2 * 3.14159265358979323846264338327950288419716939937510)), one_div_two_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510)), root_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(3.14159265358979323846264338327950288419716939937510 / 2)), root_half_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(2 * 3.14159265358979323846264338327950288419716939937510)), root_two_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1 / sqrt(3.14159265358979323846264338327950288419716939937510)), one_div_root_pi, tolerance);
    BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(1 / sqrt(2 * 3.14159265358979323846264338327950288419716939937510)), one_div_root_two_pi, tolerance);
    BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(sqrt(1. / 3.14159265358979323846264338327950288419716939937510)), root_one_div_pi, tolerance);
    BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510 - 3.), pi_minus_three, tolerance * 2 ); // tolerance * 2 because of cancellation loss.
@@ -425,11 +427,11 @@
    BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510 * 3.14159265358979323846264338327950288419716939937510 * 3.14159265358979323846264338327950288419716939937510), pi_cubed, tolerance); // See above.

    // BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(3.14159265358979323846264338327950288419716939937510 * 3.14159265358979323846264338327950288419716939937510), cbrt_pi, tolerance); // See above.
- BOOST_CHECK_CLOSE_FRACTION(cbrt_pi * cbrt_pi * cbrt_pi, pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION((static_cast<double>(1)/cbrt_pi), one_div_cbrt_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(cbrt_pi * cbrt_pi * cbrt_pi, pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION((static_cast<double>(1)/cbrt_pi), one_div_cbrt_pi, tolerance);

    // Euler
- BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2.71828182845904523536028747135266249775724709369995), e, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(2.71828182845904523536028747135266249775724709369995), e, tolerance);

    //BOOST_CHECK_CLOSE_FRACTION(static_cast<double>(exp(-0.5)), exp_minus_half, tolerance); // See above.
    BOOST_CHECK_CLOSE_FRACTION(pow(e, pi), e_pow_pi, tolerance); // See also above.
@@ -461,7 +463,7 @@
    BOOST_CHECK_CLOSE_FRACTION(.91596559417721901505460351493238411077414937428167213, catalan, tolerance); // A006752 as a constant in OEIS.
    BOOST_CHECK_CLOSE_FRACTION(1.1395470994046486574927930193898461120875997958365518247216557100852480077060706857071875468869385150, extreme_value_skewness, tolerance); // Mathematica: N[12 Sqrt[6] Zeta[3]/Pi^3, 1101]
    BOOST_CHECK_CLOSE_FRACTION(0.6311106578189371381918993515442277798440422031347194976580945856929268196174737254599050270325373067, rayleigh_skewness, tolerance); // Mathematica: N[2 Sqrt[Pi] (Pi - 3)/((4 - Pi)^(3/2)), 1100]
- BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01, rayleigh_kurtosis_excess, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01, rayleigh_kurtosis_excess, tolerance);
    BOOST_CHECK_CLOSE_FRACTION(2.68545200106530644530971483548179569382038229399446295305115234555721885953715200280114117493184769799515, khinchin, tolerance ); // A002210 as a constant https://oeis.org/A002210/constant
    BOOST_CHECK_CLOSE_FRACTION(1.2824271291006226368753425688697917277676889273250011, glaisher, tolerance ); // https://oeis.org/A074962/constant

@@ -470,7 +472,7 @@
void test_long_double_spots()
{
    // Basic sanity checks for constants in boost::math::long double_constants::
- // for example: boost::math::long_double_constants::pi
+ // for example: boost::math::long_double_constants::pi
    // (rather than boost::math::constants::pi<long double>() ).

   // All constants are tested here using at least long double precision
@@ -482,61 +484,61 @@
    using namespace boost::math::long_double_constants;
    BOOST_MATH_STD_USING

- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L), pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L)), root_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L/2)), root_half_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L * 2)), root_two_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(log(4.0L))), root_ln_four, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2.71828182845904523536028747135266249775724709369995L), e, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.5), half, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.57721566490153286060651209008240243104259335L), euler, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(2.0L)), root_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(log(2.0L)), ln_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(log(log(2.0L))), ln_ln_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1)/3, third, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2)/3, twothirds, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.14159265358979323846264338327950288419716939937510L), pi_minus_three, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(4.L - 3.14159265358979323846264338327950288419716939937510L), four_minus_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L), pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L)), root_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L/2)), root_half_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L * 2)), root_two_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(log(4.0L))), root_ln_four, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2.71828182845904523536028747135266249775724709369995L), e, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.5), half, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.57721566490153286060651209008240243104259335L), euler, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(2.0L)), root_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(log(2.0L)), ln_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(log(log(2.0L))), ln_ln_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1)/3, third, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2)/3, twothirds, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.14159265358979323846264338327950288419716939937510L), pi_minus_three, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(4.L - 3.14159265358979323846264338327950288419716939937510L), four_minus_pi, tolerance);
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((4 - 3.14159265358979323846264338327950288419716939937510L), 1.5L)), pow23_four_minus_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L)), pi_pow_e, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510L), 0.33333333333333333333333333333333333333333333333333L)), cbrt_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(exp(-0.5L)), exp_minus_half, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow(2.71828182845904523536028747135266249775724709369995L, 3.14159265358979323846264338327950288419716939937510L)), e_pow_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((4 - 3.14159265358979323846264338327950288419716939937510L), 1.5L)), pow23_four_minus_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L)), pi_pow_e, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510L), 0.33333333333333333333333333333333333333333333333333L)), cbrt_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(exp(-0.5L)), exp_minus_half, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow(2.71828182845904523536028747135266249775724709369995L, 3.14159265358979323846264338327950288419716939937510L)), e_pow_pi, tolerance);

#else // Only double, so no suffix L.
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((4 - 3.14159265358979323846264338327950288419716939937510), 1.5)), pow23_four_minus_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333)), cbrt_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(exp(-0.5)), exp_minus_half, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((4 - 3.14159265358979323846264338327950288419716939937510), 1.5)), pow23_four_minus_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995)), pi_pow_e, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333)), cbrt_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(exp(-0.5)), exp_minus_half, tolerance);
#endif
    // Rational fractions.
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.333333333333333333333333333333333333333L), third, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.666666666666666666666666666666666666667L), two_thirds, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.75L), three_quarters, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.333333333333333333333333333333333333333L), third, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.666666666666666666666666666666666666667L), two_thirds, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(0.75L), three_quarters, tolerance);
    // Two and related.
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(2.L)), root_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.L)), root_three, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(2.L)/2), half_root_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(log(2.L)), ln_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(log(log(2.0L))), ln_ln_two, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(log(4.0L))), root_ln_four, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1/sqrt(2.0L)), one_div_root_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(2.L)), root_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.L)), root_three, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(2.L)/2), half_root_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(log(2.L)), ln_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(log(log(2.0L))), ln_ln_two, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(log(4.0L))), root_ln_four, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1/sqrt(2.0L)), one_div_root_two, tolerance);

    // pi.
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L), pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L/2), half_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L/3), third_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L/6), sixth_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2 * 3.14159265358979323846264338327950288419716939937510L), two_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3 * 3.14159265358979323846264338327950288419716939937510L / 4), three_quarters_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(4 * 3.14159265358979323846264338327950288419716939937510L / 3), four_thirds_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1 / (2 * 3.14159265358979323846264338327950288419716939937510L)), one_div_two_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L)), root_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L / 2)), root_half_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(2 * 3.14159265358979323846264338327950288419716939937510L)), root_two_pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1 / sqrt(3.14159265358979323846264338327950288419716939937510L)), one_div_root_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L), pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L/2), half_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L/3), third_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L/6), sixth_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2 * 3.14159265358979323846264338327950288419716939937510L), two_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3 * 3.14159265358979323846264338327950288419716939937510L / 4), three_quarters_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(4 * 3.14159265358979323846264338327950288419716939937510L / 3), four_thirds_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1 / (2 * 3.14159265358979323846264338327950288419716939937510L)), one_div_two_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L)), root_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(3.14159265358979323846264338327950288419716939937510L / 2)), root_half_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(2 * 3.14159265358979323846264338327950288419716939937510L)), root_two_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1 / sqrt(3.14159265358979323846264338327950288419716939937510L)), one_div_root_pi, tolerance);
    BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1 / sqrt(2 * 3.14159265358979323846264338327950288419716939937510L)), one_div_root_two_pi, tolerance);
    BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(sqrt(1. / 3.14159265358979323846264338327950288419716939937510L)), root_one_div_pi, tolerance);
    BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L - 3.L), pi_minus_three, tolerance * 2 ); // tolerance * 2 because of cancellation loss.
@@ -549,14 +551,14 @@
    BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L), pi_cubed, tolerance); // See above.

    // BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L), cbrt_pi, tolerance); // See above.
- BOOST_CHECK_CLOSE_FRACTION(cbrt_pi * cbrt_pi * cbrt_pi, pi, tolerance);
- BOOST_CHECK_CLOSE_FRACTION((static_cast<long double>(1)/cbrt_pi), one_div_cbrt_pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(cbrt_pi * cbrt_pi * cbrt_pi, pi, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION((static_cast<long double>(1)/cbrt_pi), one_div_cbrt_pi, tolerance);

- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(6.366197723675813430755350534900574481378385829618257E-1L), two_div_pi, tolerance * 3); // 2/pi
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(6.366197723675813430755350534900574481378385829618257E-1L), two_div_pi, tolerance * 3); // 2/pi
    BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(7.97884560802865355879892119868763736951717262329869E-1L), root_two_div_pi, tolerance * 3); // sqrt(2/pi)

    // Euler
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2.71828182845904523536028747135266249775724709369995L), e, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2.71828182845904523536028747135266249775724709369995L), e, tolerance);

    //BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(exp(-0.5L)), exp_minus_half, tolerance); // See above.
    BOOST_CHECK_CLOSE_FRACTION(pow(e, pi), e_pow_pi, tolerance); // See also above.
@@ -588,7 +590,7 @@
    BOOST_CHECK_CLOSE_FRACTION(.91596559417721901505460351493238411077414937428167213L, catalan, tolerance); // A006752 as a constant in OEIS.
    BOOST_CHECK_CLOSE_FRACTION(1.1395470994046486574927930193898461120875997958365518247216557100852480077060706857071875468869385150L, extreme_value_skewness, tolerance); // Mathematica: N[12 Sqrt[6] Zeta[3]/Pi^3, 1101]
    BOOST_CHECK_CLOSE_FRACTION(0.6311106578189371381918993515442277798440422031347194976580945856929268196174737254599050270325373067L, rayleigh_skewness, tolerance); // Mathematica: N[2 Sqrt[Pi] (Pi - 3)/((4 - Pi)^(3/2)), 1100]
- BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01L, rayleigh_kurtosis_excess, tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01L, rayleigh_kurtosis_excess, tolerance);
    BOOST_CHECK_CLOSE_FRACTION(2.68545200106530644530971483548179569382038229399446295305115234555721885953715200280114117493184769799515L, khinchin, tolerance ); // A002210 as a constant https://oeis.org/A002210/constant
    BOOST_CHECK_CLOSE_FRACTION(1.2824271291006226368753425688697917277676889273250011L, glaisher, tolerance ); // https://oeis.org/A074962/constant

@@ -598,7 +600,7 @@
void test_real_concept_policy(const Policy&)
{
    // Basic sanity checks for constants using real_concept.
- // Parameter Policy is used to control precision.
+ // Parameter Policy is used to control precision.

    using boost::math::concepts::real_concept;

@@ -612,61 +614,61 @@
    using namespace boost::math::constants;
    BOOST_MATH_STD_USING

- BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L, (pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L), (root_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L/2), (root_half_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L * 2), (root_two_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(log(4.0L)), (root_ln_four<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(2.71828182845904523536028747135266249775724709369995L, (e<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(0.5, (half<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104259335L, (euler<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(2.0L), (root_two<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(log(2.0L), (ln_two<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(log(log(2.0L)), (ln_ln_two<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1)/3, (third<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2)/3, (twothirds<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(0.14159265358979323846264338327950288419716939937510L, (pi_minus_three<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(4.L - 3.14159265358979323846264338327950288419716939937510L, (four_minus_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L, (pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L), (root_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L/2), (root_half_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L * 2), (root_two_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(log(4.0L)), (root_ln_four<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(2.71828182845904523536028747135266249775724709369995L, (e<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(0.5, (half<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(0.57721566490153286060651209008240243104259335L, (euler<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(2.0L), (root_two<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(log(2.0L), (ln_two<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(log(log(2.0L)), (ln_ln_two<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(1)/3, (third<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(static_cast<long double>(2)/3, (twothirds<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(0.14159265358979323846264338327950288419716939937510L, (pi_minus_three<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(4.L - 3.14159265358979323846264338327950288419716939937510L, (four_minus_pi<real_concept, Policy>)(), tolerance);
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
- BOOST_CHECK_CLOSE_FRACTION(pow((4 - 3.14159265358979323846264338327950288419716939937510L), 1.5L), (pow23_four_minus_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L), (pi_pow_e<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 0.33333333333333333333333333333333333333333333333333L), (cbrt_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(exp(-0.5L), (exp_minus_half<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(pow(2.71828182845904523536028747135266249775724709369995L, 3.14159265358979323846264338327950288419716939937510L), (e_pow_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(pow((4 - 3.14159265358979323846264338327950288419716939937510L), 1.5L), (pow23_four_minus_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 2.71828182845904523536028747135266249775724709369995L), (pi_pow_e<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510L), 0.33333333333333333333333333333333333333333333333333L), (cbrt_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(exp(-0.5L), (exp_minus_half<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(pow(2.71828182845904523536028747135266249775724709369995L, 3.14159265358979323846264338327950288419716939937510L), (e_pow_pi<real_concept, Policy>)(), tolerance);

#else // Only double, so no suffix L.
- BOOST_CHECK_CLOSE_FRACTION(pow((4 - 3.14159265358979323846264338327950288419716939937510), 1.5), (pow23_four_minus_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995), (pi_pow_e<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333), (cbrt_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(exp(-0.5), (exp_minus_half<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(pow((4 - 3.14159265358979323846264338327950288419716939937510), 1.5), (pow23_four_minus_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510), 2.71828182845904523536028747135266249775724709369995), (pi_pow_e<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(pow((3.14159265358979323846264338327950288419716939937510), 0.33333333333333333333333333333333333333333333333333), (cbrt_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(exp(-0.5), (exp_minus_half<real_concept, Policy>)(), tolerance);
#endif
    // Rational fractions.
- BOOST_CHECK_CLOSE_FRACTION(0.333333333333333333333333333333333333333L, (third<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(0.666666666666666666666666666666666666667L, (two_thirds<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(0.75L, (three_quarters<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(0.333333333333333333333333333333333333333L, (third<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(0.666666666666666666666666666666666666667L, (two_thirds<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(0.75L, (three_quarters<real_concept, Policy>)(), tolerance);
    // Two and related.
- BOOST_CHECK_CLOSE_FRACTION(sqrt(2.L), (root_two<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(3.L), (root_three<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(2.L)/2, (half_root_two<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(log(2.L), (ln_two<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(log(log(2.0L)), (ln_ln_two<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(log(4.0L)), (root_ln_four<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(1/sqrt(2.0L), (one_div_root_two<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(2.L), (root_two<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(3.L), (root_three<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(2.L)/2, (half_root_two<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(log(2.L), (ln_two<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(log(log(2.0L)), (ln_ln_two<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(log(4.0L)), (root_ln_four<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(1/sqrt(2.0L), (one_div_root_two<real_concept, Policy>)(), tolerance);

    // pi.
- BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L, (pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/2, (half_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/3, (third_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/6, (sixth_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(2 * 3.14159265358979323846264338327950288419716939937510L, (two_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(3 * 3.14159265358979323846264338327950288419716939937510L / 4, (three_quarters_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(4 * 3.14159265358979323846264338327950288419716939937510L / 3, (four_thirds_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(1 / (2 * 3.14159265358979323846264338327950288419716939937510L), (one_div_two_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L), (root_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L / 2), (root_half_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(sqrt(2 * 3.14159265358979323846264338327950288419716939937510L), (root_two_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION(1 / sqrt(3.14159265358979323846264338327950288419716939937510L), (one_div_root_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L, (pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/2, (half_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/3, (third_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L/6, (sixth_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(2 * 3.14159265358979323846264338327950288419716939937510L, (two_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(3 * 3.14159265358979323846264338327950288419716939937510L / 4, (three_quarters_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(4 * 3.14159265358979323846264338327950288419716939937510L / 3, (four_thirds_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(1 / (2 * 3.14159265358979323846264338327950288419716939937510L), (one_div_two_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L), (root_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(3.14159265358979323846264338327950288419716939937510L / 2), (root_half_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(sqrt(2 * 3.14159265358979323846264338327950288419716939937510L), (root_two_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(1 / sqrt(3.14159265358979323846264338327950288419716939937510L), (one_div_root_pi<real_concept, Policy>)(), tolerance);
    BOOST_CHECK_CLOSE_FRACTION(1 / sqrt(2 * 3.14159265358979323846264338327950288419716939937510L), (one_div_root_two_pi<real_concept, Policy>)(), tolerance);
    BOOST_CHECK_CLOSE_FRACTION(sqrt(1. / 3.14159265358979323846264338327950288419716939937510L), (root_one_div_pi<real_concept, Policy>)(), tolerance);
    BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L - 3.L, (pi_minus_three<real_concept, Policy>)(), tolerance * 2 ); // tolerance * 2 because of cancellation loss.
@@ -679,11 +681,11 @@
    BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L, (pi_cubed<real_concept, Policy>)(), tolerance); // See above.

    // BOOST_CHECK_CLOSE_FRACTION(3.14159265358979323846264338327950288419716939937510L * 3.14159265358979323846264338327950288419716939937510L, (cbrt_pi<real_concept, Policy>)(), tolerance); // See above.
- BOOST_CHECK_CLOSE_FRACTION((cbrt_pi<real_concept, Policy>)() * (cbrt_pi<real_concept, Policy>)() * (cbrt_pi<real_concept, Policy>)(), (pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION((1)/(cbrt_pi<real_concept, Policy>)(), (one_div_cbrt_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION((cbrt_pi<real_concept, Policy>)() * (cbrt_pi<real_concept, Policy>)() * (cbrt_pi<real_concept, Policy>)(), (pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION((1)/(cbrt_pi<real_concept, Policy>)(), (one_div_cbrt_pi<real_concept, Policy>)(), tolerance);

    // Euler
- BOOST_CHECK_CLOSE_FRACTION(2.71828182845904523536028747135266249775724709369995L, (e<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(2.71828182845904523536028747135266249775724709369995L, (e<real_concept, Policy>)(), tolerance);

    //BOOST_CHECK_CLOSE_FRACTION(exp(-0.5L), (exp_minus_half<real_concept, Policy>)(), tolerance); // See above.
    BOOST_CHECK_CLOSE_FRACTION(pow(e<real_concept, Policy>(), (pi<real_concept, Policy>)()), (e_pow_pi<real_concept, Policy>)(), tolerance); // See also above.
@@ -715,7 +717,7 @@
    BOOST_CHECK_CLOSE_FRACTION(.91596559417721901505460351493238411077414937428167213L, (catalan<real_concept, Policy>)(), tolerance); // A006752 as a constant in OEIS.
    BOOST_CHECK_CLOSE_FRACTION(1.1395470994046486574927930193898461120875997958365518247216557100852480077060706857071875468869385150L, (extreme_value_skewness<real_concept, Policy>)(), tolerance); // Mathematica: N[12 Sqrt[6] Zeta[3]/Pi^3, 1101]
    BOOST_CHECK_CLOSE_FRACTION(0.6311106578189371381918993515442277798440422031347194976580945856929268196174737254599050270325373067L, (rayleigh_skewness<real_concept, Policy>)(), tolerance); // Mathematica: N[2 Sqrt[Pi] (Pi - 3)/((4 - Pi)^(3/2)), 1100]
- BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01L, (rayleigh_kurtosis_excess<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION(2.450893006876380628486604106197544154e-01L, (rayleigh_kurtosis_excess<real_concept, Policy>)(), tolerance);
    BOOST_CHECK_CLOSE_FRACTION(2.68545200106530644530971483548179569382038229399446295305115234555721885953715200280114117493184769799515L, (khinchin<real_concept, Policy>)(), tolerance ); // A002210 as a constant https://oeis.org/A002210/constant
    BOOST_CHECK_CLOSE_FRACTION(1.2824271291006226368753425688697917277676889273250011L, (glaisher<real_concept, Policy>)(), tolerance ); // https://oeis.org/A074962/constant

@@ -725,13 +727,13 @@
    if(boost::math::tools::digits<real_concept>() > boost::math::constants::max_string_digits)
    {
       // This suffers from cancellation error, so increased tolerance:
- BOOST_CHECK_CLOSE_FRACTION((static_cast<real_concept>(4. - 3.14159265358979323846264338327950288419716939937510L)), (four_minus_pi<real_concept, Policy>)(), tolerance * 3);
- BOOST_CHECK_CLOSE_FRACTION((static_cast<real_concept>(0.14159265358979323846264338327950288419716939937510L)), (pi_minus_three<real_concept, Policy>)(), tolerance * 3);
+ BOOST_CHECK_CLOSE_FRACTION((static_cast<real_concept>(4. - 3.14159265358979323846264338327950288419716939937510L)), (four_minus_pi<real_concept, Policy>)(), tolerance * 3);
+ BOOST_CHECK_CLOSE_FRACTION((static_cast<real_concept>(0.14159265358979323846264338327950288419716939937510L)), (pi_minus_three<real_concept, Policy>)(), tolerance * 3);
    }
    else
    {
- BOOST_CHECK_CLOSE_FRACTION((static_cast<real_concept>(4. - 3.14159265358979323846264338327950288419716939937510L)), (four_minus_pi<real_concept, Policy>)(), tolerance);
- BOOST_CHECK_CLOSE_FRACTION((static_cast<real_concept>(0.14159265358979323846264338327950288419716939937510L)), (pi_minus_three<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION((static_cast<real_concept>(4. - 3.14159265358979323846264338327950288419716939937510L)), (four_minus_pi<real_concept, Policy>)(), tolerance);
+ BOOST_CHECK_CLOSE_FRACTION((static_cast<real_concept>(0.14159265358979323846264338327950288419716939937510L)), (pi_minus_three<real_concept, Policy>)(), tolerance);
    }

} // template <class boost::math::concepts::real_concept>void test_spots(boost::math::concepts::real_concept)
@@ -750,7 +752,7 @@

    // (Parameter value, arbitrarily zero, only communicates the floating-point type).
    test_spots(0.0F); // Test float.
- test_spots(0.0); // Test double.
+ test_spots(0.0); // Test double.
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
    test_spots(0.0L); // Test long double.
#if !BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x0582))
@@ -771,7 +773,7 @@

Output:

- 1 Feb 2012
+ 1 Feb 2012

test_constants.cpp
   test_constants.vcxproj -> J:\Cpp\MathToolkit\test\Math_test\Debug\test_constants.exe
@@ -784,7 +786,7 @@
   Tolerance for type long double is 4.44089e-016.
   Tolerance for type class boost::math::concepts::real_concept is 4.44089e-016.
   Tolerance for type class boost::math::concepts::big_real_concept is 1.33227e-014.
-
+
   *** No errors detected

*/

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