//  (C) Copyright John Maddock 2006.
//  Use, modification and distribution are subject to the
//  Boost Software License, Version 1.0. (See accompanying file
//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)

#include <pch.hpp>

#include <boost/math/concepts/real_concept.hpp>
#include <boost/test/test_exec_monitor.hpp>
#include <boost/test/floating_point_comparison.hpp>
#include <boost/math/special_functions/sqrt1pm1.hpp>
#include <boost/math/special_functions/powm1.hpp>
#include <boost/math/tools/test.hpp>
#include <boost/array.hpp>
#include "functor.hpp"

#include "handle_test_result.hpp"

//
// DESCRIPTION:
// ~~~~~~~~~~~~
//
// This file tests the functions powm1 and sqrt1pm1.  
// The accuracy tests
// use values generated with NTL::RR at 1000-bit precision
// and our generic versions of these functions.
//
// Note that when this file is first run on a new platform many of
// these tests will fail: the default accuracy is 1 epsilon which
// is too tight for most platforms.  In this situation you will 
// need to cast a human eye over the error rates reported and make
// a judgement as to whether they are acceptable.  Either way please
// report the results to the Boost mailing list.  Acceptable rates of
// error are marked up below as a series of regular expressions that
// identify the compiler/stdlib/platform/data-type/test-data/test-function
// along with the maximum expected peek and RMS mean errors for that
// test.
//

void expected_results()
{
   //
   // Define the max and mean errors expected for
   // various compilers and platforms.
   //
   add_expected_result(
      ".*",                          // compiler
      ".*",                          // stdlib
      ".*",                          // platform
      ".*",                          // test type(s)
      ".*",                          // test data group
      ".*", 5, 2);                   // test function

   //
   // Finish off by printing out the compiler/stdlib/platform names,
   // we do this to make it easier to mark up expected error rates.
   //
   std::cout << "Tests run with " << BOOST_COMPILER << ", " 
      << BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}

template <class T>
void test_powm1_sqrtp1m1(T, const char* type_name)
{
#define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
   static const boost::array<boost::array<T, 2>, 141> sqrtp1m1_data = {
      SC_(-0.990433037281036376953125), SC_(-0.902189148255607021082179865003660033379), 
      SC_(-0.928576648235321044921875), SC_(-0.7327485233629588435419837213946140663952), 
      SC_(-0.804919183254241943359375), SC_(-0.5583204592175928547330219789723812512248), 
      SC_(-0.780276477336883544921875), SC_(-0.5312532425038905348288090678272629719499), 
      SC_(-0.775070965290069580078125), SC_(-0.525733160857803152349794525146692520785), 
      SC_(-0.74602639675140380859375), SC_(-0.4960420620244223284705423670972348730775), 
      SC_(-0.72904598712921142578125), SC_(-0.4794675678972648545670296583048773096015), 
      SC_(-0.7162272930145263671875), SC_(-0.4672967927771847619430106324762494277417), 
      SC_(-0.68477380275726318359375), SC_(-0.4385499156267435234127335149836228483716), 
      SC_(-0.62323606014251708984375), SC_(-0.3861890031471553130754715740017444288273), 
      SC_(-0.576151371002197265625), SC_(-0.3489634196162225368137418186622322770468), 
      SC_(-0.5579319000244140625), SC_(-0.3351179804088653673227401220715512851566), 
      SC_(-0.44300353527069091796875), SC_(-0.2536780421766293214167684432407843582845), 
      SC_(-0.40594112873077392578125), SC_(-0.2292478535422518369418742953348121057781), 
      SC_(-0.38366591930389404296875), SC_(-0.2149305249240001453212315877592832894955), 
      SC_(-0.277411997318267822265625), SC_(-0.1499482352928545459530860365223688354153), 
      SC_(-0.202522933483123779296875), SC_(-0.1069842854031759981174720343292165991554), 
      SC_(-0.156477451324462890625), SC_(-0.08156516362044655434273010203540784115386), 
      SC_(-0.029248714447021484375), SC_(-0.01473288619127324715091701268111937769847), 
      SC_(0.1431564604442703013402649929484277542953e-29), SC_(0.7157823022213515067013249647418825993242e-30), 
      SC_(0.1791466932348087634896446282571611213266e-29), SC_(0.8957334661740438174482231412854044374117e-30), 
      SC_(0.6013619202535540063110633226832922483532e-29), SC_(0.3006809601267770031555316613411940789777e-29), 
      SC_(0.115805324961653822428570241697281798758e-28), SC_(0.5790266248082691121428512084847326346288e-29), 
      SC_(0.1422457400834001098175711728787848259007e-28), SC_(0.711228700417000549087855864391394898182e-29), 
      SC_(0.4970121018327539153628705477876439795096e-28), SC_(0.2485060509163769576814352738907342268877e-28), 
      SC_(0.9660079415057497591758174164417478444323e-28), SC_(0.483003970752874879587908708209209280428e-28), 
      SC_(0.1232929313253182131376331095427391968754e-27), SC_(0.6164646566265910656881655476946945507336e-28), 
      SC_(0.3296523285617759312781860549364832953326e-27), SC_(0.1648261642808879656390930274546578154505e-27), 
      SC_(0.528364435768055252017009628713605422886e-27), SC_(0.26418221788402762600850481432190658932e-27), 
      SC_(0.886586057273120049620324386849842094685e-27), SC_(0.4432930286365600248101621933266666927236e-27), 
      SC_(0.2499669674831043259218157022821422146034e-26), SC_(0.1249834837415521629609078510629667512608e-26), 
      SC_(0.4131050397232622964314362671638736040881e-26), SC_(0.2065525198616311482157181333686170847381e-26), 
      SC_(0.7679738097881433551381658732998641759182e-26), SC_(0.3839869048940716775690829359127023723085e-26), 
      SC_(0.199929739820949207249437007767740538737e-25), SC_(0.9996486991047460362471850338422150855758e-26), 
      SC_(0.5151477415246978459754129800826163591626e-25), SC_(0.2575738707623489229877064867240932346063e-25), 
      SC_(0.101200734533556026342258477595279955025e-24), SC_(0.5060036726677801317112923751744139374608e-25), 
      SC_(0.2064292695896540981798546456623054911033e-24), SC_(0.1032146347948270490899273175045223276369e-24), 
      SC_(0.4063294332896333395257434433879773416284e-24), SC_(0.2031647166448166697628717010560376261299e-24), 
      SC_(0.8138195767936862452966745688936976428456e-24), SC_(0.406909788396843122648337201659060874841e-24), 
      SC_(0.9575550627132253801929510132578249716542e-24), SC_(0.478777531356612690096475392014950219861e-24), 
      SC_(0.2855160956298500804375620841706273850616e-23), SC_(0.1427580478149250402187809401860126128887e-23), 
      SC_(0.65201444297915461398563707001320281266e-23), SC_(0.3260072214895773069928180036030590895584e-23), 
      SC_(0.1310988374636350038320977491775043421995e-22), SC_(0.6554941873181750191604865975243736714241e-23), 
      SC_(0.2590288837798696209228010176465529547374e-22), SC_(0.1295144418899348104613996701237435743037e-22), 
      SC_(0.2937779542193655202274099291941187976629e-22), SC_(0.1468889771096827601137038857784795823862e-22), 
      SC_(0.7863513178004503049754083414326234074965e-22), SC_(0.3931756589002251524876964413613741224383e-22), 
      SC_(0.1903818607087388763706780167350761726053e-21), SC_(0.9519093035436943818533447771092722109619e-22), 
      SC_(0.3812242142377350870566942975497647799754e-21), SC_(0.1906121071188675435283289822871922426703e-21), 
      SC_(0.5493133580141330277178034419485741501887e-21), SC_(0.2746566790070665138588640028286254797086e-21), 
      SC_(0.9672153634284186955666772243312215295852e-21), SC_(0.4836076817142093477832216739707042687854e-21), 
      SC_(0.1702169477623814384559878647986894129041e-20), SC_(0.8510847388119071922795771513771277983779e-21), 
      SC_(0.4817114569977399785676754474621208412799e-20), SC_(0.2408557284988699892835476663213068137742e-20), 
      SC_(0.7538352992756463183303278501219690799218e-20), SC_(0.3769176496378231591644535904879420358976e-20), 
      SC_(0.2596305715949999708394617609422128090557e-19), SC_(0.1298152857974999854188882800497720744566e-19), 
      SC_(0.4444587480324321591032923385589104015025e-19), SC_(0.2222293740162160795491768745456732380306e-19), 
      SC_(0.9715574921498573937069095571295029856174e-19), SC_(0.4857787460749286968416557290578449901693e-19), 
      SC_(0.2036598542733453787268262970278076551267e-18), SC_(0.1018299271366726893582284814835737930738e-18), 
      SC_(0.4248971931658660264162106698360155121463e-18), SC_(0.2124485965829330131855381318229788476899e-18), 
      SC_(0.6521097487613458963613731825259556273977e-18), SC_(0.3260548743806729481275307007092796054895e-18), 
      SC_(0.1436126164096190058281493628911107407475e-17), SC_(0.718063082048095028882939519555349077068e-18), 
      SC_(0.3118908901459261162419055180006211003274e-17), SC_(0.1559454450729630579993578498052878596544e-17), 
      SC_(0.3593346613595175715618300349429858897565e-17), SC_(0.1796673306797587856195132689035439820049e-17), 
      SC_(0.9445874854124767215374919304693435151421e-17), SC_(0.4722937427062383596534390682373393588305e-17), 
      SC_(0.2566182432094081539023303073498993853718e-16), SC_(0.1283091216047040761280036193264127770924e-16), 
      SC_(0.3363765695149349330660137891158001366421e-16), SC_(0.1681882847574674651186419380749519252198e-16), 
      SC_(0.1073581901339262605326457800103412409953e-15), SC_(0.53679095066963128825600266401137964529e-16), 
      SC_(0.186668406231853462907965823802669547149e-15), SC_(0.9333420311592672709834617625880158673234e-16), 
      SC_(0.3727540802657755688795382376099496468669e-15), SC_(0.1863770401328877670715685744569461355954e-15), 
      SC_(0.6211646767866855090717281839829411183018e-15), SC_(0.3105823383933427063051696310530511222847e-15), 
      SC_(0.1561186859754253464932505224282976996619e-14), SC_(0.7805934298771264278032012284733416682125e-15), 
      SC_(0.3092010764722992466335682593125966377556e-14), SC_(0.1546005382361495038101520151206746652194e-14), 
      SC_(0.6192850577371690132255643845837767003104e-14), SC_(0.3096425288685840272203037716324248888074e-14), 
      SC_(0.1047879028014987723427253740737796761096e-13), SC_(0.5239395140074924891505551783318071383455e-14), 
      SC_(0.1978473638988408750405412206418986897916e-13), SC_(0.989236819494199482255280888212449451182e-14), 
      SC_(0.4041816252346730475863978426787070930004e-13), SC_(0.2020908126173344817583717046094650765545e-13), 
      SC_(0.9410302262901834580155480125540634617209e-13), SC_(0.4705151131450806597841891098742774312111e-13), 
      SC_(0.1334530223958893535574077304772799834609e-12), SC_(0.6672651119794245056505554066901540498883e-13), 
      SC_(0.266297021326439287136622624529991298914e-12), SC_(0.1331485106632107793053653966876952769505e-12), 
      SC_(0.5920415525016708979677559909760020673275e-12), SC_(0.29602077625079163483389193486561174812e-12), 
      SC_(0.155163989296047688526414276566356420517e-11), SC_(0.7758199464799374943373933162927267207972e-12), 
      SC_(0.326923297461201300961874949280172586441e-11), SC_(0.1634616487304670519279090616362400067267e-11), 
      SC_(0.3753785910581841633870681107509881258011e-11), SC_(0.1876892955289159453352533516401529801122e-11), 
      SC_(0.9579165585749116473834874341264367103577e-11), SC_(0.4789582792863088185252592080679746767978e-11), 
      SC_(0.1858167439361402273334533674642443656921e-10), SC_(0.9290837196763851538764282981715353513818e-11), 
      SC_(0.5449485307451595872407779097557067871094e-10), SC_(0.2724742653688676823559737485578304836506e-10), 
      SC_(0.6089519166696533147842274047434329986572e-10), SC_(0.3044759583301913769320592805847923970217e-10), 
      SC_(0.1337744776064297980155970435589551925659e-9), SC_(0.6688723880097794765058899684143827289977e-10), 
      SC_(0.2554458866654840676346793770790100097656e-9), SC_(0.1277229433245854586915920539477320784002e-9), 
      SC_(0.9285605062636648199259070679545402526855e-9), SC_(0.4642802530240543332889135775318577029962e-9), 
      SC_(0.1698227447555211711005540564656257629395e-8), SC_(0.8491137234171087978551371134983090509552e-9), 
      SC_(0.339355921141759608872234821319580078125e-8), SC_(0.1696779604269267531629088042873986404561e-8), 
      SC_(0.6313728651008432279922999441623687744141e-8), SC_(0.3156864320521319970871232105329124668304e-8), 
      SC_(0.8383264749056706932606175541877746582031e-8), SC_(0.4191632365743462521529019590756957227221e-8), 
      SC_(0.1962631124285962869180366396903991699219e-7), SC_(0.9813155573280803193195787399755096477409e-8), 
      SC_(0.5256384838503436185419559478759765625e-7), SC_(0.2628192384714742037346966666026188341227e-7), 
      SC_(0.116242290459922514855861663818359375e-6), SC_(0.5812114354092759417537613189484537667262e-7), 
      SC_(0.1776920584006802528165280818939208984375e-6), SC_(0.8884602525353202473263890111106254261705e-7), 
      SC_(0.246631174150024889968335628509521484375e-6), SC_(0.1233155794716463747702014149912298889881e-6), 
      SC_(0.7932688959044753573834896087646484375e-6), SC_(0.3966343692928262265327186740527956086072e-6), 
      SC_(0.1372093493046122603118419647216796875e-5), SC_(0.6860465111931535414103361330991297079332e-6), 
      SC_(0.214747751670074649155139923095703125e-5), SC_(0.1073738181893531617762304794194699568343e-5), 
      SC_(0.527022712049074470996856689453125e-5), SC_(0.2635110088342783512028120843144783486949e-5), 
      SC_(0.9233162927557714283466339111328125e-5), SC_(0.461657080741584719962950298693491037714e-5), 
      SC_(0.269396477960981428623199462890625e-4), SC_(0.1346973318119308516416495011442959614762e-4), 
      SC_(0.3208058114978484809398651123046875e-4), SC_(0.1604016193149502975581143111396377659995e-4), 
      SC_(0.00010957030463032424449920654296875), SC_(0.5478365169091582645735757270110530879622e-4), 
      SC_(0.000126518702018074691295623779296875), SC_(0.6325735026285620681070344590408428362373e-4), 
      SC_(0.00028976381872780621051788330078125), SC_(0.0001448714155003885621472683658275189243597), 
      SC_(0.000687857042066752910614013671875), SC_(0.0003438693979519525361574726383087724411954), 
      SC_(0.00145484809763729572296142578125), SC_(0.0007271596682270997885618336103424497281234), 
      SC_(0.0073254108428955078125), SC_(0.003656022172385267560713803761753901548099), 
      SC_(0.09376299381256103515625), SC_(0.04583124537975104196281645139037475336575), 
      SC_(0.0944411754608154296875), SC_(0.04615542605332570615786127417302399776704), 
      SC_(0.264718532562255859375), SC_(0.1245970534205822199491885900676517027912), 
      SC_(0.27952671051025390625), SC_(0.1311616641799057655376985599143742875242), 
      SC_(0.31148135662078857421875), SC_(0.1451992650280511659331021017070743457453), 
      SC_(0.3574702739715576171875), SC_(0.1651052630434546351309425398611544399279), 
      SC_(0.362719058990478515625), SC_(0.1673555837834839069815597770182209283592), 
      SC_(0.45167791843414306640625), SC_(0.2048559741455171397876451754340651729329), 
      SC_(0.58441460132598876953125), SC_(0.2587353182166570039327003862804562417757), 
      SC_(0.59585726261138916015625), SC_(0.263272441958340655449252054139087309968), 
      SC_(0.5962116718292236328125), SC_(0.2634127084326893190571263246997038824839), 
      SC_(0.6005609035491943359375), SC_(0.265132761234643838648662687260938123223), 
      SC_(0.62944734096527099609375), SC_(0.2764980771490691893425893413189776581002), 
      SC_(0.67001712322235107421875), SC_(0.2922914234886615056408835783570718269519), 
      SC_(0.6982586383819580078125), SC_(0.3031725282486421443925178739003813209589), 
      SC_(0.75686132907867431640625), SC_(0.3254664571684469135448954017993676523574), 
      SC_(0.81158387660980224609375), SC_(0.3459509190939327287182180832834475919551), 
      SC_(0.826751708984375), SC_(0.3515737896927326105907938446356122609441), 
      SC_(0.83147108554840087890625), SC_(0.3533185454830658156956304096558121255029), 
      SC_(0.8679864406585693359375), SC_(0.3667430046129994134441282712127036765511), 
      SC_(0.91433393955230712890625), SC_(0.3835945719582406373102286771719657103388), 
      SC_(0.91501367092132568359375), SC_(0.3838401898056457601350544781643172326518), 
      SC_(0.918984889984130859375), SC_(0.3852743013512272831269535677278325535267), 
      SC_(0.92977702617645263671875), SC_(0.3891641465919182859360893492188078577616), 
      SC_(0.93538987636566162109375), SC_(0.3911829054317989358513931994433199352401), 
      SC_(0.93773555755615234375), SC_(0.3920257029078710024155036194055376074007), 
      SC_(0.94118559360504150390625), SC_(0.3932643660142325996680401116017235829116), 
      SC_(0.96221935749053955078125), SC_(0.4007924034240546775728864480529865192659), 
      SC_(0.98576259613037109375), SC_(0.4091708896121758495875515950932191750449), 
      SC_(0.99292266368865966796875), SC_(0.4117091285702801135545007937655927942821), 
   };
#undef SC_

#define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
   static const boost::array<boost::array<T, 3>, 1400> powm1_data = {
      SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1431564604442703013402649929484277542953e-29), SC_(-0.4876113153308343652049349438365788782568e-28), 
      SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1791466932348087634896446282571611213266e-29), SC_(-0.6101991796549119337733033929476086235147e-28), 
      SC_(0.161179845478123719842988847972264920827e-14), SC_(0.6013619202535540063110633226832922483532e-29), SC_(-0.2048324441766037485142714404837079817647e-27), 
      SC_(0.161179845478123719842988847972264920827e-14), SC_(0.115805324961653822428570241697281798758e-28), SC_(-0.3944494481885382670819636026287935618847e-27), 
      SC_(0.161179845478123719842988847972264920827e-14), SC_(0.1422457400834001098175711728787848259007e-28), SC_(-0.4845092719324132218645425927278781231393e-27), 
      SC_(0.161179845478123719842988847972264920827e-14), SC_(0.4970121018327539153628705477876439795096e-28), SC_(-0.1692894082166527210362866376720838911671e-26), 
      SC_(0.161179845478123719842988847972264920827e-14), SC_(0.9660079415057497591758174164417478444323e-28), SC_(-0.3290360780895537432240111567751307160722e-26), 
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      SC_(9.133758544921875), SC_(0.00010957030463032424449920654296875), SC_(0.0002423963976274547113520639506749754456639), 
      SC_(9.133758544921875), SC_(0.000126518702018074691295623779296875), SC_(0.0002798956577974984275654773358319046607446), 
      SC_(9.133758544921875), SC_(0.00028976381872780621051788330078125), SC_(0.0006411564364665104093195535580417210607387), 
      SC_(9.133758544921875), SC_(0.000687857042066752910614013671875), SC_(0.001522682253857451785825717819605251309824), 
      SC_(9.133758544921875), SC_(0.00145484809763729572296142578125), SC_(0.003223274550919413078558922991480584957931), 
      SC_(9.133758544921875), SC_(0.002847635187208652496337890625), SC_(0.006318784151197779190311758585128772805171), 
      SC_(9.133758544921875), SC_(0.0056468211114406585693359375), SC_(0.01256897385147959593489613597170196869447), 
      SC_(9.133758544921875), SC_(0.011621631681919097900390625), SC_(0.02604005426676951113278576709191952468673), 
      SC_(9.133758544921875), SC_(0.0257236398756504058837890625), SC_(0.05855006332475848314609853654570300938235), 
      SC_(9.133758544921875), SC_(0.0560617186129093170166015625), SC_(0.1320240756877234443504850105930086569822), 
      SC_(9.133758544921875), SC_(0.106835305690765380859375), SC_(0.2665760915709943020795338378823706112721), 
      SC_(9.133758544921875), SC_(0.2401093542575836181640625), SC_(0.7008301174292642126150669803023638485546), 
      SC_(9.133758544921875), SC_(0.438671648502349853515625), SC_(1.638819662694764963830781936726649515985), 
      SC_(9.133758544921875), SC_(0.903765499591827392578125), SC_(6.382473545580206211190860756907471309227), 
      SC_(9.68867778778076171875), SC_(0.1431564604442703013402649929484277542953e-29), SC_(0.3251023041419442629663190449032320727026e-29), 
      SC_(9.68867778778076171875), SC_(0.1791466932348087634896446282571611213266e-29), SC_(0.4068346099736040733007820502305239840058e-29), 
      SC_(9.68867778778076171875), SC_(0.6013619202535540063110633226832922483532e-29), SC_(0.1365667642877792388513882350014289657906e-28), 
      SC_(9.68867778778076171875), SC_(0.115805324961653822428570241697281798758e-28), SC_(0.2629890251554282451955534879170468653276e-28), 
      SC_(9.68867778778076171875), SC_(0.1422457400834001098175711728787848259007e-28), SC_(0.3230340964841896705434811777933594702467e-28), 
      SC_(9.68867778778076171875), SC_(0.4970121018327539153628705477876439795096e-28), SC_(0.1128693591548812362301112581850657975072e-27), 
      SC_(9.68867778778076171875), SC_(0.9660079415057497591758174164417478444323e-28), SC_(0.2193763429385665316044594844377369163394e-27), 
      SC_(9.68867778778076171875), SC_(0.1232929313253182131376331095427391968754e-27), SC_(0.279993064468643928226977638193225502021e-27), 
      SC_(9.68867778778076171875), SC_(0.3296523285617759312781860549364832953326e-27), SC_(0.748626581354401062400285076958412022658e-27), 
      SC_(9.68867778778076171875), SC_(0.528364435768055252017009628713605422886e-27), SC_(0.1199893424032530976049611749648424671609e-26), 
      SC_(9.68867778778076171875), SC_(0.886586057273120049620324386849842094685e-27), SC_(0.2013399668761852677111403309217419036542e-26), 
      SC_(9.68867778778076171875), SC_(0.2499669674831043259218157022821422146034e-26), SC_(0.5676644758883756040892047084598038565024e-26), 
      SC_(9.68867778778076171875), SC_(0.4131050397232622964314362671638736040881e-26), SC_(0.9381441804993808004633913547851406415649e-26), 
      SC_(9.68867778778076171875), SC_(0.7679738097881433551381658732998641759182e-26), SC_(0.1744036240543871557809919087250212910793e-25), 
      SC_(9.68867778778076171875), SC_(0.199929739820949207249437007767740538737e-25), SC_(0.4540320351633245557172484303204920023135e-25), 
      SC_(9.68867778778076171875), SC_(0.5151477415246978459754129800826163591626e-25), SC_(0.1169878866964547547221995022196319253455e-24), 
      SC_(9.68867778778076171875), SC_(0.101200734533556026342258477595279955025e-24), SC_(0.229822614191584026946923327297559366982e-24), 
      SC_(9.68867778778076171875), SC_(0.2064292695896540981798546456623054911033e-24), SC_(0.4687921940628085039658292492167189278115e-24), 
      SC_(9.68867778778076171875), SC_(0.4063294332896333395257434433879773416284e-24), SC_(0.9227570630986311860335595959287304929927e-24), 
      SC_(9.68867778778076171875), SC_(0.8138195767936862452966745688936976428456e-24), SC_(0.1848150050304199833133111992475494790028e-23), 
      SC_(9.68867778778076171875), SC_(0.9575550627132253801929510132578249716542e-24), SC_(0.2174567296961365499627397209048994087595e-23), 
      SC_(9.68867778778076171875), SC_(0.2855160956298500804375620841706273850616e-23), SC_(0.6483950516156469579872053996346377811741e-23), 
      SC_(9.68867778778076171875), SC_(0.65201444297915461398563707001320281266e-23), SC_(0.14806973928282357752174713141185757796e-22), 
      SC_(9.68867778778076171875), SC_(0.1310988374636350038320977491775043421995e-22), SC_(0.2977199491904860757140525556186179527699e-22), 
      SC_(9.68867778778076171875), SC_(0.2590288837798696209228010176465529547374e-22), SC_(0.5882437068841482784486186135173126954487e-22), 
      SC_(9.68867778778076171875), SC_(0.2937779542193655202274099291941187976629e-22), SC_(0.6671573851883745565690238915558861233449e-22), 
      SC_(9.68867778778076171875), SC_(0.7863513178004503049754083414326234074965e-22), SC_(0.1785770788748308935419019642128233135009e-21), 
      SC_(9.68867778778076171875), SC_(0.1903818607087388763706780167350761726053e-21), SC_(0.4323492030409370546305056478788417643006e-21), 
      SC_(9.68867778778076171875), SC_(0.3812242142377350870566942975497647799754e-21), SC_(0.8657441659200391598244521390735246465316e-21), 
      SC_(9.68867778778076171875), SC_(0.5493133580141330277178034419485741501887e-21), SC_(0.124746754587344929524756930088081819053e-20), 
      SC_(9.68867778778076171875), SC_(0.9672153634284186955666772243312215295852e-21), SC_(0.2196505433818528328509987828061540879135e-20), 
      SC_(9.68867778778076171875), SC_(0.1702169477623814384559878647986894129041e-20), SC_(0.3865555333641529419702847527826614072778e-20), 
      SC_(9.68867778778076171875), SC_(0.4817114569977399785676754474621208412799e-20), SC_(0.1093946470285242032028108746437167153554e-19), 
      SC_(9.68867778778076171875), SC_(0.7538352992756463183303278501219690799218e-20), SC_(0.1711928277476865895025016138793163450484e-19), 
      SC_(9.68867778778076171875), SC_(0.2596305715949999708394617609422128090557e-19), SC_(0.5896101146205924080209010975883278777754e-19), 
      SC_(9.68867778778076171875), SC_(0.4444587480324321591032923385589104015025e-19), SC_(0.1009347134128383557596449566027375645171e-18), 
      SC_(9.68867778778076171875), SC_(0.9715574921498573937069095571295029856174e-19), SC_(0.2206366225625197607062393262722651761487e-18), 
      SC_(9.68867778778076171875), SC_(0.2036598542733453787268262970278076551267e-18), SC_(0.4625029682907836869149984686402911484836e-18), 
      SC_(9.68867778778076171875), SC_(0.4248971931658660264162106698360155121463e-18), SC_(0.9649236652888796690140481551193469292926e-18), 
      SC_(9.68867778778076171875), SC_(0.6521097487613458963613731825259556273977e-18), SC_(0.1480913828253450121139914131430527700071e-17), 
      SC_(9.68867778778076171875), SC_(0.1436126164096190058281493628911107407475e-17), SC_(0.326138215164909851026584251749321471815e-17), 
      SC_(9.68867778778076171875), SC_(0.3118908901459261162419055180006211003274e-17), SC_(0.7082911013072682747000780572255711975698e-17), 
      SC_(9.68867778778076171875), SC_(0.3593346613595175715618300349429858897565e-17), SC_(0.8160339114525799062082084735226523498546e-17), 
      SC_(9.68867778778076171875), SC_(0.9445874854124767215374919304693435151421e-17), SC_(0.2145118473998511274881313602044206744275e-16), 
      SC_(9.68867778778076171875), SC_(0.2566182432094081539023303073498993853718e-16), SC_(0.5827692434789835381847157763572645320376e-16), 
      SC_(9.68867778778076171875), SC_(0.3363765695149349330660137891158001366421e-16), SC_(0.7638970499081317392873833048234230607465e-16), 
      SC_(9.68867778778076171875), SC_(0.1073581901339262605326457800103412409953e-15), SC_(0.2438059370337366694971865890221449361133e-15), 
      SC_(9.68867778778076171875), SC_(0.186668406231853462907965823802669547149e-15), SC_(0.4239161040175672541184411515854470301012e-15), 
      SC_(9.68867778778076171875), SC_(0.3727540802657755688795382376099496468669e-15), SC_(0.8465088477085573603406429900262807830109e-15), 
      SC_(9.68867778778076171875), SC_(0.6211646767866855090717281839829411183018e-15), SC_(0.1410638870563247541019592683730600534645e-14), 
      SC_(9.68867778778076171875), SC_(0.1561186859754253464932505224282976996619e-14), SC_(0.3545389734610116283745403992517326218345e-14), 
      SC_(9.68867778778076171875), SC_(0.3092010764722992466335682593125966377556e-14), SC_(0.7021826475197518343268876740635260691793e-14), 
      SC_(9.68867778778076171875), SC_(0.6192850577371690132255643845837767003104e-14), SC_(0.1406370334710871427355144538953530568614e-13), 
      SC_(9.68867778778076171875), SC_(0.1047879028014987723427253740737796761096e-13), SC_(0.2379689225428403830805824843435024125941e-13), 
      SC_(9.68867778778076171875), SC_(0.1978473638988408750405412206418986897916e-13), SC_(0.4493030469761010753770634758104886456194e-13), 
      SC_(9.68867778778076171875), SC_(0.4041816252346730475863978426787070930004e-13), SC_(0.9178794812881475840845530325584300055822e-13), 
      SC_(9.68867778778076171875), SC_(0.9410302262901834580155480125540634617209e-13), SC_(0.2137040088060036565135543283518672527502e-12), 
      SC_(9.68867778778076171875), SC_(0.1334530223958893535574077304772799834609e-12), SC_(0.3030662042144195267231304473289146643627e-12), 
      SC_(9.68867778778076171875), SC_(0.266297021326439287136622624529991298914e-12), SC_(0.6047493417392123849215205373703035008782e-12), 
      SC_(9.68867778778076171875), SC_(0.5920415525016708979677559909760020673275e-12), SC_(0.1344501479492258945113336046310014816028e-11), 
      SC_(9.68867778778076171875), SC_(0.155163989296047688526414276566356420517e-11), SC_(0.3523708974330744853236964747567641430526e-11), 
      SC_(9.68867778778076171875), SC_(0.326923297461201300961874949280172586441e-11), SC_(0.7424290664415293228539717523609736893227e-11), 
      SC_(9.68867778778076171875), SC_(0.3753785910581841633870681107509881258011e-11), SC_(0.8524690014014443239947636563728062120671e-11), 
      SC_(9.68867778778076171875), SC_(0.9579165585749116473834874341264367103577e-11), SC_(0.217538823889157646975210405182959223965e-10), 
      SC_(9.68867778778076171875), SC_(0.1858167439361402273334533674642443656921e-10), SC_(0.4219820147522043070128530753246849254589e-10), 
      SC_(9.68867778778076171875), SC_(0.5449485307451595872407779097557067871094e-10), SC_(0.123755520669603051486977872131239776802e-9), 
      SC_(9.68867778778076171875), SC_(0.6089519166696533147842274047434329986572e-10), SC_(0.1382904205791782327650424561456364420732e-9), 
      SC_(9.68867778778076171875), SC_(0.1337744776064297980155970435589551925659e-9), SC_(0.3037962155314103466980398435578035811679e-9), 
      SC_(9.68867778778076171875), SC_(0.2554458866654840676346793770790100097656e-9), SC_(0.5801068712155522869254305125924800021551e-9), 
      SC_(9.68867778778076171875), SC_(0.9285605062636648199259070679545402526855e-9), SC_(0.2108721880262844458250615511467757397605e-8), 
      SC_(9.68867778778076171875), SC_(0.1698227447555211711005540564656257629395e-8), SC_(0.3856603156494151031626014622236295405284e-8), 
      SC_(9.68867778778076171875), SC_(0.339355921141759608872234821319580078125e-8), SC_(0.7706630351863533996193594586001707313967e-8), 
      SC_(9.68867778778076171875), SC_(0.6313728651008432279922999441623687744141e-8), SC_(0.1433821247406628873576148497830599721119e-7), 
      SC_(9.68867778778076171875), SC_(0.8383264749056706932606175541877746582031e-8), SC_(0.1903804203900791197963208573178075630015e-7), 
      SC_(9.68867778778076171875), SC_(0.1962631124285962869180366396903991699219e-7), SC_(0.4457052884132293020120854209156627105415e-7), 
      SC_(9.68867778778076171875), SC_(0.5256384838503436185419559478759765625e-7), SC_(0.1193702973058086549839229184033913497394e-6), 
      SC_(9.68867778778076171875), SC_(0.116242290459922514855861663818359375e-6), SC_(0.2639813902774001345761419758813907104525e-6), 
      SC_(9.68867778778076171875), SC_(0.1776920584006802528165280818939208984375e-6), SC_(0.4035312768290402179724322739059024257911e-6), 
      SC_(9.68867778778076171875), SC_(0.246631174150024889968335628509521484375e-6), SC_(0.5600891862976372697203768774599773207812e-6), 
      SC_(9.68867778778076171875), SC_(0.7932688959044753573834896087646484375e-6), SC_(0.1801481940511445476740974446351987487537e-5), 
      SC_(9.68867778778076171875), SC_(0.1372093493046122603118419647216796875e-5), SC_(0.3115971501912317630070527687604350940031e-5), 
      SC_(9.68867778778076171875), SC_(0.214747751670074649155139923095703125e-5), SC_(0.487684306379282015062143358653997082528e-5), 
      SC_(9.68867778778076171875), SC_(0.527022712049074470996856689453125e-5), SC_(0.1196853588100977502339779488819564685125e-4), 
      SC_(9.68867778778076171875), SC_(0.9233162927557714283466339111328125e-5), SC_(0.2096834472868302910410196802704006676419e-4), 
      SC_(9.68867778778076171875), SC_(0.269396477960981428623199462890625e-4), SC_(0.6118067920858328215848432186906668843509e-4), 
      SC_(9.68867778778076171875), SC_(0.3208058114978484809398651123046875e-4), SC_(0.728563051879196577689828782571903259951e-4), 
      SC_(9.68867778778076171875), SC_(0.00010957030463032424449920654296875), SC_(0.0002488605167115786508690708436538612267867), 
      SC_(9.68867778778076171875), SC_(0.000126518702018074691295623779296875), SC_(0.0002873599340757661525877158215704810459439), 
      SC_(9.68867778778076171875), SC_(0.00028976381872780621051788330078125), SC_(0.0006582580089946178862548800972604646079047), 
      SC_(9.68867778778076171875), SC_(0.000687857042066752910614013671875), SC_(0.001563315133764469862768389959281037577749), 
      SC_(9.68867778778076171875), SC_(0.00145484809763729572296142578125), SC_(0.003309362765364723055307278727456538237784), 
      SC_(9.68867778778076171875), SC_(0.002847635187208652496337890625), SC_(0.006487815096079959006202372484557638978379), 
      SC_(9.68867778778076171875), SC_(0.0056468211114406585693359375), SC_(0.01290626953766988799660445158177424847916), 
      SC_(9.68867778778076171875), SC_(0.011621631681919097900390625), SC_(0.02674359636941844621991721651837741451166), 
      SC_(9.68867778778076171875), SC_(0.0257236398756504058837890625), SC_(0.06015731222731434671073651753326632370858), 
      SC_(9.68867778778076171875), SC_(0.0560617186129093170166015625), SC_(0.1357733748610437010694097215927829841061), 
      SC_(9.68867778778076171875), SC_(0.106835305690765380859375), SC_(0.2745822634838372037418174975910269667509), 
      SC_(9.68867778778076171875), SC_(0.2401093542575836181640625), SC_(0.7250883224868308476529921117348408126984), 
      SC_(9.68867778778076171875), SC_(0.438671648502349853515625), SC_(1.707985158316040663526167707818201486792), 
      SC_(9.68867778778076171875), SC_(0.903765499591827392578125), SC_(6.786671267376742594913276377075578069747), 
   };
#undef SC_


   using namespace std;

   typedef T (*func_t)(const T&);
   func_t f = &boost::math::sqrt1pm1<T>;

   boost::math::tools::test_result<T> result = boost::math::tools::test(
      sqrtp1m1_data, 
      bind_func(f, 0), 
      extract_result(1));

   std::cout << "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"
      "Test results for type " << type_name << std::endl << std::endl;
   handle_test_result(result, sqrtp1m1_data[result.worst()], result.worst(), type_name, "boost::math::sqrt1pm1", "sqrt1pm1");

   typedef T (*func2_t)(T const, T const);
   func2_t f2 = &boost::math::powm1<T,T>;
   result = boost::math::tools::test(
      powm1_data, 
      bind_func(f2, 0, 1), 
      extract_result(2));
   handle_test_result(result, powm1_data[result.worst()], result.worst(), type_name, "boost::math::powm1", "powm1");
}

int test_main(int, char* [])
{
   expected_results();
   BOOST_MATH_CONTROL_FP;
   test_powm1_sqrtp1m1(1.0F, "float");
   test_powm1_sqrtp1m1(1.0, "double");
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
   test_powm1_sqrtp1m1(1.0L, "long double");
#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
   test_powm1_sqrtp1m1(boost::math::concepts::real_concept(), "real_concept");
#endif
#else
   std::cout << "<note>The long double tests have been disabled on this platform "
      "either because the long double overloads of the usual math functions are "
      "not available at all, or because they are too inaccurate for these tests "
      "to pass.</note>" << std::cout;
#endif
   return 0;
}