public void ToStringTest()
{
Assert.Equal("0", _testVar.ToString());
_testVar = new RealNumber(1);
Assert.Equal("1", _testVar.ToString());
Assert.NotEqual("0", _testVar.ToString());
Assert.NotEqual("1)", _testVar.ToString());
}
public void SmallToString()
{
int precision = 100;
RealNumber ten = new RealNumber(10L, precision + 10);
RealNumber ln10 = ten.GetLog();
RealNumber v1 = (0 * ln10).GetExp();
RealNumber v2 = (9 * ln10).GetExp();
RealNumber v3 = (10 * ln10).GetExp();
RealNumber v4 = (100 * ln10).GetExp();
RealNumber v5 = (-9 * ln10).GetExp();
RealNumber v6 = (-10 * ln10).GetExp();
RealNumber v7 = (-100 * ln10).GetExp();
RealNumber v8 = (30 * ln10).GetExp();
RealNumber v9 = (-20 * ln10).GetExp();
RealNumber vA = (20 * ln10).GetExp();
RealNumber vB = (23 * ln10).GetExp();
RealNumber vC = (-23 * ln10).GetExp();
List <RealNumber> list = new List <RealNumber> {
v1, v2, v3, v4, v5, v6, v7, v8, v9, vA, vB, vC
};
for (int i = list.Count; --i >= 0;)
{
list[i] = list[i].ChangePrecision(precision);
}
string s1 = v1.ToString();
string s2 = v2.ToString();
string s3 = v3.ToString();
string s4 = v4.ToString();
string s5 = v5.ToString();
string s6 = v6.ToString();
string s7 = v7.ToString();
string s8 = v8.ToString();
string s9 = v9.ToString();
string sA = vA.ToString();
string sB = vB.ToString();
string sC = vC.ToString();
bool ok =
s1 == "1" &&
s2 == "1000000000" &&
s3 == "10000000000" &&
s4 == "1e+100" &&
s5 == "0.000000001" &&
s6 == "0.0000000001" &&
s7 == "1e-100" &&
s8 == "1e+30" &&
s9 == "0.00000000000000000001" &&
sA == "100000000000000000000" &&
sB == "1e+23" &&
sC == "1e-23";
Assert.IsTrue(ok);
}
public void PIUnitTestMethod()
{
int decmalDigits = 10 * 1000;
int qwords = (int)Math.Ceiling(Math.Log(10, 2) * decmalDigits / 64);
RealNumber pi = RealNumber.GetPI(qwords);
string piString = pi.ToString();
string realPIDigits = @"3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458700660631558817488152092096282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912983367336244065664308602139494639522473719070217986094370277053921717629317675238467481846766940513200056812714526356082778577134275778960917363717872146844090122495343014654958537105079227968925892354201995611212902196086403441815981362977477130996051870721134999999837297804995105973173281609631859502445945534690830264252230825334468503526193118817101000313783875288658753320838142061717766914730359825349042875546873115956286388235378759375195778185778053217122680661300192787661119590921642019893809525720106548586327886593615338182796823030195203530185296899577362259941389124972177528347913151557485724245415069595082953311686172785588907509838175463746493931925506040092770167113900984882401285836160356370766010471018194295559619894676783744944825537977472684710404753464620804668425906949129331367702898915210475216205696602405803815019351125338243003558764024749647326391419927260426992279678235478163600934172164121992458631503028618297455570674983850549458858692699569092721079750930295532116534498720275596023648066549911988183479775356636980742654252786255181841757467289097777279380008164706001614524919217321721477235014144197356854816136115735255213347574184946843852332390739414333454776241686251898356948556209921922218427255025425688767179049460165346680498862723279178608578438382796797668145410095388378636095068006422512520511739298489608412848862694560424196528502221066118630674427862203919494504712371378696095636437191728746776465757396241389086583264599581339047802759009946576407895126946839835259570982582262052248940772671947826848260147699090264013639443745530506820349625245174939965143142980919065925093722169646151570985838741059788595977297549893016175392846813826868386894277415599185592524595395943104997252468084598727364469584865383673622262609912460805124388439045124413654976278079771569143599770012961608944169486855584840635342207222582848864815845602850601684273945226746767889525213852254995466672782398645659611635488623057745649803559363456817432411251507606947945109659609402522887971089314566913686722874894056010150330861792868092087476091782493858900971490967598526136554978189312978482168299894872265880485756401427047755513237964145152374623436454285844479526586782105114135473573952311342716610213596953623144295248493718711014576540359027993440374200731057853906219838744780847848968332144571386875194350643021845319104848100537061468067491927819119793995206141966342875444064374512371819217999839101591956181467514269123974894090718649423196156794520809514655022523160388193014209376213785595663893778708303906979207734672218256259966150142150306803844773454920260541466592520149744285073251866600213243408819071048633173464965145390579626856100550810665879699816357473638405257145910289706414011097120628043903975951567715770042033786993600723055876317635942187312514712053292819182618612586732157919841484882916447060957527069572209175671167229109816909152801735067127485832228718352093539657251210835791513698820914442100675103346711031412671113699086585163983150197016515116851714376576183515565088490998985998238734552833163550764791853589322618548963213293308985706420467525907091548141654985946163718027098199430992448895757128289059232332609729971208443357326548938239119325974636673058360414281388303203824903758985243744170291327656180937734440307074692112019130203303801976211011004492932151608424448596376698389522868478312355265821314495768572624334418930396864262434107732269780280731891544110104468232527162010526522721116603966655730925471105578537634668206531098965269186205647693125705863566201855810072936065987648611791045334885034611365768675324944166803962657978771855608455296541266540853061434443185867697514566140680070023787765913440171274947042056223053899456131407112700040785473326993908145466464588079727082668306343285878569830523580893306575740679545716377525420211495576158140025012622859413021647155097925923099079654737612551765675135751782966645477917450112996148903046399471329621073404375189573596145890193897131117904297828564750320319869151402870808599048010941214722131794764777262241425485454033215718530614228813758504306332175182979866223717215916077166925474873898665494945011465406284336639379003976926567214638530673609657120918076383271664162748888007869256029022847210403172118608204190004229661711963779213375751149595015660496318629472654736425230817703675159067350235072835405670403867435136222247715891504953098444893330963408780769325993978054193414473774418426312986080998886874132604721569516239658645730216315981931951673538129741677294786724229246543668009806769282382806899640048243540370141631496589794092432378969070697794223625082216889573837986230015937764716512289357860158816175578297352334460428151262720373431465319777741603199066554187639792933441952154134189948544473456738316249934191318148092777710386387734317720754565453220777092120190516609628049092636019759882816133231666365286193266863360627356763035447762803504507772355471058595487027908143562401451718062464362679456127531813407833033625423278394497538243720583531147711992606381334677687969597030983391307710987040859133746414428227726346594704745878477872019277152807317679077071572134447306057007334924369311383504931631284042512192565179806941135280131470130478164378851852909285452011658393419656213491434159562586586557055269049652098580338507224264829397285847831630577775606888764462482468579260395352773480304802900587607582510474709164396136267604492562742042083208566119062545433721315359584506877246029016187667952406163425225771954291629919306455377991403734043287526288896399587947572917464263574552540790914513571113694109119393251910760208252026187985318877058429725916778131496990090192116971737278476847268608490033770242429165130050051683233643503895170298939223345172201381280696501178440874519601212285993716231301711444846409038906449544400619869075485160263275052983491874078668088183385102283345085048608250393021332197155184306354550076682829493041377655279397517546139539846833936383047461199665385815384205685338621867252334028308711232827892125077126294632295639898989358211674562701021835646220134967151881909730381198004973407239610368540664319395097901906996395524530054505806855019567302292191393391856803449039820595510022635353619204199474553859381023439554495977837790237421617271117236434354394782218185286240851400666044332588856986705431547069657474585503323233421073015459405165537906866273337995851156257843229882737231989875714159578111963583300594087306812160287649628674460477464915995054973742562690104903778198683593814657412680492564879855614537234786733039046883834363465537949864192705638729317487233208376011230299113679386270894387993620162951541337142489283072201269014754668476535761647737946752004907571555278196536213239264061601363581559074220202031872776052772190055614842555187925303435139844253223415762336106425063904975008656271095359194658975141310348227693062474353632569160781547818115284366795706110861533150445212747392454494542368288606134084148637767009612071512491404302725386076482363414334623518975766452164137679690314950191085759844239198629164219399490723623464684411739403265918404437805133389452574239950829659122850855582157250310712570126683024029295252201187267675622041542051618416348475651699981161410100299607838690929160302884002691041407928862150784245167090870006992821206604183718065355672525325675328612910424877618258297651579598470356222629348600341587229805349896502262917487882027342092222453398562647669149055628425039127577102840279980663658254889264880254566101729670266407655904290994568150652653053718294127033693137851786090407086671149655834343476933857817113864558736781230145876871266034891390956200993936103102916161528813843790990423174733639480457593149314052976347574811935670911013775172100803155902485309066920376719220332290943346768514221447737939375170344366199104033751117354719185504644902636551281622882446257591633303910722538374218214088350865739177150968288747826569959957449066175834413752239709683408005355984917541738188399944697486762655165827658483588453142775687900290951702835297163445621296404352311760066510124120065975585127617858382920419748442360800719304576189323492292796501987518721272675079812554709589045563579212210333466974992356302549478024901141952123828153091140790738602515227429958180724716259166854513331239480494707911915326734302824418604142636395480004480026704962482017928964766975831832713142517029692348896276684403232609275249603579964692565049368183609003238092934595889706953653494060340216654437558900456328822505452556405644824651518754711962184439658253375438856909411303150952617937800297412076651479394259029896959469955657612186561967337862362561252163208628692221032748892186543648022967807057656151446320469279068212073883778142335628236089632080682224680122482611771858963814091839036736722208883215137556003727983940041529700287830766709444745601345564172543709069793961225714298946715435784687886144458123145935719849225284716050492212424701412147805734551050080190869960330276347870810817545011930714122339086639383395294257869050764310063835198343893415961318543475464955697810382930971646514384070070736041123735998434522516105070270562352660127648483084076118301305279320542746286540360367453286510570658748822569815793678976697422057505968344086973502014102067235850200724522563265134105592401902742162484391403599895353945909440704691209140938700126456001623742880210927645793106579229552498872758461012648369998922569596881592056001016552563756";
bool ok = piString.StartsWith(realPIDigits);
Assert.IsTrue(ok);
}
private void testAll()
{
int maxDigits = 1000;
long totalOps = (long)maxDigits * (maxDigits + 1) / 2;
long ops = 0;
for (int digits = 1; digits < maxDigits; digits++)
{
RealNumber b_one = new RealNumber(2L, digits);
RealNumber log1 = RealNumber.Zero, log2 = RealNumber.Zero;
Parallel.Invoke(
() =>
{
log1 = b_one.GetLog();
},
() =>
{
log2 = b_one.GetTaylorLog();
});
string log1String = log1.ToString();
string log2String = log2.ToString();
int diffs = differences(log2String, log1String);
if (diffs > 0)
{
MessageBox.Show("Error: Differences count = " + diffs.ToString("N3"));
break;
}
ops += digits;
this.invoke(() =>
{
this.pbarOPS.Value = Math.Min(Math.Max((int)(100.0 * ops / totalOps), 0), 100);
});
}
this.invoke(() =>
{
this.pbarOPS.Value = 0;
this.pbarOPS.Enabled = false;
this.btnTestArithmeticOPS.Enabled = true;
});
}
public void Should_Should_Throw_Exception_When_Number_Is_Written_Wrong1()
{
var num1 = new RealNumber("93124.1a0");
Assert.AreEqual(num1.ToString(), "93124.10");
}
public void Should_String_Right4()
{
var num1 = new RealNumber("0.0000101013");
Assert.AreEqual(num1.ToString(), "0.0000101013");
}
public void Should_String_Right1()
{
var num1 = new RealNumber("93124.10");
Assert.AreEqual(num1.ToString(), "93124.10");
}
public void toSTring_should_return_the_double_value()
{
// Given
SUT = new RealNumber(5.1);
// When
var result = SUT.ToString();
// Then
Assert.AreEqual("5.1", result);
}
public void TestRealNumberToString()
{
RealNumber a = new RealNumber(5);
Assert.True(a.ToString() == "5");
}
public void TestAll()
{
for (int digits = 1; digits < 100; digits++)
{
RealNumber b_one = new RealNumber(2L, digits);
RealNumber log1 = RealNumber.Zero, log2 = RealNumber.Zero;
Parallel.Invoke(
() =>
{
log1 = b_one.GetLog();
},
() =>
{
log2 = b_one.GetTaylorLog();
});
string log1String = log1.ToString();
string log2String = log2.ToString();
int diffs = differences(log2String, log1String);
if (diffs > 0)
{
File.WriteAllText("L1MILD.txt", log1String);
File.WriteAllText("L1MILT.txt", log2String);
Assert.IsTrue(false);
}
}
//IntegerNumber zzz = new IntegerNumber(0L);
//string ssttrr = zzz.ToString();
bool ok = true;
//testMultiplicationSpeed();
RealNumber ten = new RealNumber(10, 1000);
RealNumber logTen = ten.GetLog();
RealNumber tenExp1 = logTen.GetExp();
RealNumber tenExp2 = logTen.GetTaylorExp();
IntegerNumber i1 = IntegerNumber.One << 100000;
IntegerNumber ia = i1.Sqrt();
IntegerNumber ib = i1.InverseSqrt();
RealNumber ssqrt10 = ten.GetRealDirectSqrt();
RealNumber sqrt10 = ten.GetSqrt();
RealNumber invSqrt10 = ten.GetInverseSqrt();
RealNumber one1 = sqrt10 * invSqrt10;
ok &= (one1 - 1).IsZero;
IntegerNumber int10 = IntegerNumber.Pow(10, 19 * 5000);
IntegerNumber t1 = int10.Inverse();
IntegerNumber t2 = (IntegerNumber.One << (int10.Digits * 128)) / int10;
ok &= t1 == t2;
IntegerNumber t3 = int10.InverseSqrt();
IntegerNumber t4 = ((IntegerNumber.One << (int10.Digits * 96 * 2)) / int10).Sqrt();
ok &= t3 == t4;
ok &= Fourier235RealUnitTest.FFTUnitTest();
ok &= Fourier235RealUnitTest.DCTUnitTest();
ok &= Fourier235DoubleUnitTest.FFTUnitTest();
ok &= Fourier235DoubleUnitTest.DCTUnitTest();
ok &= Fourier235UnitTest.FFTUnitTest();
ok &= Fourier235UnitTest.DCTUnitTest();
ok &= RealNumbersUnitTest.ComplexArcTanSinCosUnitTest();
ok &= RealNumbersUnitTest.NumericIntegerOperationsUnitTest();
ok &= RealNumbersUnitTest.SqrtUnitTest();
ok &= MemoryUnitTest.UnitTest(1001);
ok &= CarrylessMultiplication.UnitTest(1001);
int decimalDigits = 10100;
int qwords = (int)Math.Ceiling(Math.Log(10, 2) * decimalDigits / 64);
RealNumber pi = RealNumber.Zero;
RealNumber e = RealNumber.Zero;
RealNumber one = new RealNumber(1L, qwords);
var computePITime = AsmX64Operations.MeasureTime(() =>
{
pi = RealNumber.GetPI(qwords);
});
var computeETime = AsmX64Operations.MeasureTime(() =>
{
e = one.GetExp();
});
string pivalue = "";
string evalue = "";
var baseConvertTimePI = AsmX64Operations.MeasureTime(() =>
{
pivalue = pi.ToString();
});
var baseConvertTimeE = AsmX64Operations.MeasureTime(() =>
{
evalue = e.ToString();
});
File.WriteAllText(@"..\pi10k.txt", pivalue);
File.WriteAllText(@"..\e_10k.txt", evalue);
//MessageBox.Show(
// "Compute PI Time: " + computePITime.ToString() + "\r\n" +
// "Compute E Time: " + computeETime.ToString() + "\r\n" +
// "base convert time PI: " + baseConvertTimePI.ToString() + "\r\n" +
// "base convert time E : " + baseConvertTimeE.ToString() + "\r\n",
// "Info", MessageBoxButtons.OK, MessageBoxIcon.Information);
var no0 = new RealNumber(1L << 62, 2048 / 64);
var no1 = no0.GetExp();
var no2 = no1.GetLog();
ok &= (no2 - no0).IsZero;
ulong[] xx = Enumerable.Repeat(ulong.MaxValue, 1024 * 100).ToArray();
ulong[] yy = Enumerable.Repeat(ulong.MaxValue, 1024 * 100).ToArray();
ulong[] zz = Enumerable.Repeat((ulong)0, 1024 * 200).ToArray();
AsmX64Operations.FastestMultiplication(xx, yy, zz, xx.Length);
if (zz[0] != 1 || zz[zz.Length / 2 - 1] != 0 || zz[zz.Length / 2] + 2 != 0 || zz[zz.Length - 1] + 1 != 0)
{
ok = false;
}
ok &= RealNumbersUnitTest.UnitTest(1001);
ok &= FourierReal.UnitTest(10012);
ok &= FourierMultiplication.UnitTest();
ok &= IntegerNumberUnitTest.UnitTest();
ok &= FourierMultiplication.UnitTestBigMul(1001);
ok &= FastIntegerUnitTest.UnitTest();
ok &= FourierMultiplication.UnitTest(1001);
ok &= AsmX64Operations.ECCUnitTest();
ok &= AsmX64Operations.UnitTest();
ok &= HeapUnitTest.UnitTest();
ok &= FourierTransform.FFTUnitTest();
ok &= AccurateSummation.UnitTest();
ok &= BinarySearchUnitTest.UnitTest();
ok &= AVLTree <int> .UnitTest();
ok &= AVLTreeSorted <int> .UnitTest();
Assert.IsTrue(ok);
}