| // Copyright 2009 The Go Authors. All rights reserved. |
| // Use of this source code is governed by a BSD-style |
| // license that can be found in the LICENSE file. |
| |
| package big |
| |
| import ( |
| "io" |
| "strings" |
| "testing" |
| ) |
| |
| var cmpTests = []struct { |
| x, y nat |
| r int |
| }{ |
| {nil, nil, 0}, |
| {nil, nat(nil), 0}, |
| {nat(nil), nil, 0}, |
| {nat(nil), nat(nil), 0}, |
| {nat{0}, nat{0}, 0}, |
| {nat{0}, nat{1}, -1}, |
| {nat{1}, nat{0}, 1}, |
| {nat{1}, nat{1}, 0}, |
| {nat{0, _M}, nat{1}, 1}, |
| {nat{1}, nat{0, _M}, -1}, |
| {nat{1, _M}, nat{0, _M}, 1}, |
| {nat{0, _M}, nat{1, _M}, -1}, |
| {nat{16, 571956, 8794, 68}, nat{837, 9146, 1, 754489}, -1}, |
| {nat{34986, 41, 105, 1957}, nat{56, 7458, 104, 1957}, 1}, |
| } |
| |
| func TestCmp(t *testing.T) { |
| for i, a := range cmpTests { |
| r := a.x.cmp(a.y) |
| if r != a.r { |
| t.Errorf("#%d got r = %v; want %v", i, r, a.r) |
| } |
| } |
| } |
| |
| type funNN func(z, x, y nat) nat |
| type argNN struct { |
| z, x, y nat |
| } |
| |
| var sumNN = []argNN{ |
| {}, |
| {nat{1}, nil, nat{1}}, |
| {nat{1111111110}, nat{123456789}, nat{987654321}}, |
| {nat{0, 0, 0, 1}, nil, nat{0, 0, 0, 1}}, |
| {nat{0, 0, 0, 1111111110}, nat{0, 0, 0, 123456789}, nat{0, 0, 0, 987654321}}, |
| {nat{0, 0, 0, 1}, nat{0, 0, _M}, nat{0, 0, 1}}, |
| } |
| |
| var prodNN = []argNN{ |
| {}, |
| {nil, nil, nil}, |
| {nil, nat{991}, nil}, |
| {nat{991}, nat{991}, nat{1}}, |
| {nat{991 * 991}, nat{991}, nat{991}}, |
| {nat{0, 0, 991 * 991}, nat{0, 991}, nat{0, 991}}, |
| {nat{1 * 991, 2 * 991, 3 * 991, 4 * 991}, nat{1, 2, 3, 4}, nat{991}}, |
| {nat{4, 11, 20, 30, 20, 11, 4}, nat{1, 2, 3, 4}, nat{4, 3, 2, 1}}, |
| } |
| |
| func TestSet(t *testing.T) { |
| for _, a := range sumNN { |
| z := nat(nil).set(a.z) |
| if z.cmp(a.z) != 0 { |
| t.Errorf("got z = %v; want %v", z, a.z) |
| } |
| } |
| } |
| |
| func testFunNN(t *testing.T, msg string, f funNN, a argNN) { |
| z := f(nil, a.x, a.y) |
| if z.cmp(a.z) != 0 { |
| t.Errorf("%s%+v\n\tgot z = %v; want %v", msg, a, z, a.z) |
| } |
| } |
| |
| func TestFunNN(t *testing.T) { |
| for _, a := range sumNN { |
| arg := a |
| testFunNN(t, "add", nat.add, arg) |
| |
| arg = argNN{a.z, a.y, a.x} |
| testFunNN(t, "add symmetric", nat.add, arg) |
| |
| arg = argNN{a.x, a.z, a.y} |
| testFunNN(t, "sub", nat.sub, arg) |
| |
| arg = argNN{a.y, a.z, a.x} |
| testFunNN(t, "sub symmetric", nat.sub, arg) |
| } |
| |
| for _, a := range prodNN { |
| arg := a |
| testFunNN(t, "mul", nat.mul, arg) |
| |
| arg = argNN{a.z, a.y, a.x} |
| testFunNN(t, "mul symmetric", nat.mul, arg) |
| } |
| } |
| |
| var mulRangesN = []struct { |
| a, b uint64 |
| prod string |
| }{ |
| {0, 0, "0"}, |
| {1, 1, "1"}, |
| {1, 2, "2"}, |
| {1, 3, "6"}, |
| {10, 10, "10"}, |
| {0, 100, "0"}, |
| {0, 1e9, "0"}, |
| {1, 0, "1"}, // empty range |
| {100, 1, "1"}, // empty range |
| {1, 10, "3628800"}, // 10! |
| {1, 20, "2432902008176640000"}, // 20! |
| {1, 100, |
| "933262154439441526816992388562667004907159682643816214685929" + |
| "638952175999932299156089414639761565182862536979208272237582" + |
| "51185210916864000000000000000000000000", // 100! |
| }, |
| } |
| |
| func TestMulRangeN(t *testing.T) { |
| for i, r := range mulRangesN { |
| prod := nat(nil).mulRange(r.a, r.b).decimalString() |
| if prod != r.prod { |
| t.Errorf("#%d: got %s; want %s", i, prod, r.prod) |
| } |
| } |
| } |
| |
| var mulArg, mulTmp nat |
| |
| func init() { |
| const n = 1000 |
| mulArg = make(nat, n) |
| for i := 0; i < n; i++ { |
| mulArg[i] = _M |
| } |
| } |
| |
| func benchmarkMulLoad() { |
| for j := 1; j <= 10; j++ { |
| x := mulArg[0 : j*100] |
| mulTmp.mul(x, x) |
| } |
| } |
| |
| func BenchmarkMul(b *testing.B) { |
| for i := 0; i < b.N; i++ { |
| benchmarkMulLoad() |
| } |
| } |
| |
| func toString(x nat, charset string) string { |
| base := len(charset) |
| |
| // special cases |
| switch { |
| case base < 2: |
| panic("illegal base") |
| case len(x) == 0: |
| return string(charset[0]) |
| } |
| |
| // allocate buffer for conversion |
| i := x.bitLen()/log2(Word(base)) + 1 // +1: round up |
| s := make([]byte, i) |
| |
| // don't destroy x |
| q := nat(nil).set(x) |
| |
| // convert |
| for len(q) > 0 { |
| i-- |
| var r Word |
| q, r = q.divW(q, Word(base)) |
| s[i] = charset[r] |
| } |
| |
| return string(s[i:]) |
| } |
| |
| var strTests = []struct { |
| x nat // nat value to be converted |
| c string // conversion charset |
| s string // expected result |
| }{ |
| {nil, "01", "0"}, |
| {nat{1}, "01", "1"}, |
| {nat{0xc5}, "01", "11000101"}, |
| {nat{03271}, lowercaseDigits[0:8], "3271"}, |
| {nat{10}, lowercaseDigits[0:10], "10"}, |
| {nat{1234567890}, uppercaseDigits[0:10], "1234567890"}, |
| {nat{0xdeadbeef}, lowercaseDigits[0:16], "deadbeef"}, |
| {nat{0xdeadbeef}, uppercaseDigits[0:16], "DEADBEEF"}, |
| {nat{0x229be7}, lowercaseDigits[0:17], "1a2b3c"}, |
| {nat{0x309663e6}, uppercaseDigits[0:32], "O9COV6"}, |
| } |
| |
| func TestString(t *testing.T) { |
| for _, a := range strTests { |
| s := a.x.string(a.c) |
| if s != a.s { |
| t.Errorf("string%+v\n\tgot s = %s; want %s", a, s, a.s) |
| } |
| |
| x, b, err := nat(nil).scan(strings.NewReader(a.s), len(a.c)) |
| if x.cmp(a.x) != 0 { |
| t.Errorf("scan%+v\n\tgot z = %v; want %v", a, x, a.x) |
| } |
| if b != len(a.c) { |
| t.Errorf("scan%+v\n\tgot b = %d; want %d", a, b, len(a.c)) |
| } |
| if err != nil { |
| t.Errorf("scan%+v\n\tgot error = %s", a, err) |
| } |
| } |
| } |
| |
| var natScanTests = []struct { |
| s string // string to be scanned |
| base int // input base |
| x nat // expected nat |
| b int // expected base |
| ok bool // expected success |
| next rune // next character (or 0, if at EOF) |
| }{ |
| // error: illegal base |
| {base: -1}, |
| {base: 1}, |
| {base: 37}, |
| |
| // error: no mantissa |
| {}, |
| {s: "?"}, |
| {base: 10}, |
| {base: 36}, |
| {s: "?", base: 10}, |
| {s: "0x"}, |
| {s: "345", base: 2}, |
| |
| // no errors |
| {"0", 0, nil, 10, true, 0}, |
| {"0", 10, nil, 10, true, 0}, |
| {"0", 36, nil, 36, true, 0}, |
| {"1", 0, nat{1}, 10, true, 0}, |
| {"1", 10, nat{1}, 10, true, 0}, |
| {"0 ", 0, nil, 10, true, ' '}, |
| {"08", 0, nil, 10, true, '8'}, |
| {"018", 0, nat{1}, 8, true, '8'}, |
| {"0b1", 0, nat{1}, 2, true, 0}, |
| {"0b11000101", 0, nat{0xc5}, 2, true, 0}, |
| {"03271", 0, nat{03271}, 8, true, 0}, |
| {"10ab", 0, nat{10}, 10, true, 'a'}, |
| {"1234567890", 0, nat{1234567890}, 10, true, 0}, |
| {"xyz", 36, nat{(33*36+34)*36 + 35}, 36, true, 0}, |
| {"xyz?", 36, nat{(33*36+34)*36 + 35}, 36, true, '?'}, |
| {"0x", 16, nil, 16, true, 'x'}, |
| {"0xdeadbeef", 0, nat{0xdeadbeef}, 16, true, 0}, |
| {"0XDEADBEEF", 0, nat{0xdeadbeef}, 16, true, 0}, |
| } |
| |
| func TestScanBase(t *testing.T) { |
| for _, a := range natScanTests { |
| r := strings.NewReader(a.s) |
| x, b, err := nat(nil).scan(r, a.base) |
| if err == nil && !a.ok { |
| t.Errorf("scan%+v\n\texpected error", a) |
| } |
| if err != nil { |
| if a.ok { |
| t.Errorf("scan%+v\n\tgot error = %s", a, err) |
| } |
| continue |
| } |
| if x.cmp(a.x) != 0 { |
| t.Errorf("scan%+v\n\tgot z = %v; want %v", a, x, a.x) |
| } |
| if b != a.b { |
| t.Errorf("scan%+v\n\tgot b = %d; want %d", a, b, a.base) |
| } |
| next, _, err := r.ReadRune() |
| if err == io.EOF { |
| next = 0 |
| err = nil |
| } |
| if err == nil && next != a.next { |
| t.Errorf("scan%+v\n\tgot next = %q; want %q", a, next, a.next) |
| } |
| } |
| } |
| |
| var pi = "3" + |
| "14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651" + |
| "32823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461" + |
| "28475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920" + |
| "96282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179" + |
| "31051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798" + |
| "60943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901" + |
| "22495343014654958537105079227968925892354201995611212902196086403441815981362977477130996051870721134999999837" + |
| "29780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083" + |
| "81420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909" + |
| "21642019893809525720106548586327886593615338182796823030195203530185296899577362259941389124972177528347913151" + |
| "55748572424541506959508295331168617278558890750983817546374649393192550604009277016711390098488240128583616035" + |
| "63707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104" + |
| "75216205696602405803815019351125338243003558764024749647326391419927260426992279678235478163600934172164121992" + |
| "45863150302861829745557067498385054945885869269956909272107975093029553211653449872027559602364806654991198818" + |
| "34797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548" + |
| "16136115735255213347574184946843852332390739414333454776241686251898356948556209921922218427255025425688767179" + |
| "04946016534668049886272327917860857843838279679766814541009538837863609506800642251252051173929848960841284886" + |
| "26945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645" + |
| "99581339047802759009946576407895126946839835259570982582262052248940772671947826848260147699090264013639443745" + |
| "53050682034962524517493996514314298091906592509372216964615157098583874105978859597729754989301617539284681382" + |
| "68683868942774155991855925245953959431049972524680845987273644695848653836736222626099124608051243884390451244" + |
| "13654976278079771569143599770012961608944169486855584840635342207222582848864815845602850601684273945226746767" + |
| "88952521385225499546667278239864565961163548862305774564980355936345681743241125150760694794510965960940252288" + |
| "79710893145669136867228748940560101503308617928680920874760917824938589009714909675985261365549781893129784821" + |
| "68299894872265880485756401427047755513237964145152374623436454285844479526586782105114135473573952311342716610" + |
| "21359695362314429524849371871101457654035902799344037420073105785390621983874478084784896833214457138687519435" + |
| "06430218453191048481005370614680674919278191197939952061419663428754440643745123718192179998391015919561814675" + |
| "14269123974894090718649423196156794520809514655022523160388193014209376213785595663893778708303906979207734672" + |
| "21825625996615014215030680384477345492026054146659252014974428507325186660021324340881907104863317346496514539" + |
| "05796268561005508106658796998163574736384052571459102897064140110971206280439039759515677157700420337869936007" + |
| "23055876317635942187312514712053292819182618612586732157919841484882916447060957527069572209175671167229109816" + |
| "90915280173506712748583222871835209353965725121083579151369882091444210067510334671103141267111369908658516398" + |
| "31501970165151168517143765761835155650884909989859982387345528331635507647918535893226185489632132933089857064" + |
| "20467525907091548141654985946163718027098199430992448895757128289059232332609729971208443357326548938239119325" + |
| "97463667305836041428138830320382490375898524374417029132765618093773444030707469211201913020330380197621101100" + |
| "44929321516084244485963766983895228684783123552658213144957685726243344189303968642624341077322697802807318915" + |
| "44110104468232527162010526522721116603966655730925471105578537634668206531098965269186205647693125705863566201" + |
| "85581007293606598764861179104533488503461136576867532494416680396265797877185560845529654126654085306143444318" + |
| "58676975145661406800700237877659134401712749470420562230538994561314071127000407854733269939081454664645880797" + |
| "27082668306343285878569830523580893306575740679545716377525420211495576158140025012622859413021647155097925923" + |
| "09907965473761255176567513575178296664547791745011299614890304639947132962107340437518957359614589019389713111" + |
| "79042978285647503203198691514028708085990480109412147221317947647772622414254854540332157185306142288137585043" + |
| "06332175182979866223717215916077166925474873898665494945011465406284336639379003976926567214638530673609657120" + |
| "91807638327166416274888800786925602902284721040317211860820419000422966171196377921337575114959501566049631862" + |
| "94726547364252308177036751590673502350728354056704038674351362222477158915049530984448933309634087807693259939" + |
| "78054193414473774418426312986080998886874132604721569516239658645730216315981931951673538129741677294786724229" + |
| "24654366800980676928238280689964004824354037014163149658979409243237896907069779422362508221688957383798623001" + |
| "59377647165122893578601588161755782973523344604281512627203734314653197777416031990665541876397929334419521541" + |
| "34189948544473456738316249934191318148092777710386387734317720754565453220777092120190516609628049092636019759" + |
| "88281613323166636528619326686336062735676303544776280350450777235547105859548702790814356240145171806246436267" + |
| "94561275318134078330336254232783944975382437205835311477119926063813346776879695970309833913077109870408591337" |
| |
| // Test case for BenchmarkScanPi. |
| func TestScanPi(t *testing.T) { |
| var x nat |
| z, _, err := x.scan(strings.NewReader(pi), 10) |
| if err != nil { |
| t.Errorf("scanning pi: %s", err) |
| } |
| if s := z.decimalString(); s != pi { |
| t.Errorf("scanning pi: got %s", s) |
| } |
| } |
| |
| func BenchmarkScanPi(b *testing.B) { |
| for i := 0; i < b.N; i++ { |
| var x nat |
| x.scan(strings.NewReader(pi), 10) |
| } |
| } |
| |
| func BenchmarkScan10Base2(b *testing.B) { ScanHelper(b, 2, 10, 10) } |
| func BenchmarkScan100Base2(b *testing.B) { ScanHelper(b, 2, 10, 100) } |
| func BenchmarkScan1000Base2(b *testing.B) { ScanHelper(b, 2, 10, 1000) } |
| func BenchmarkScan10000Base2(b *testing.B) { ScanHelper(b, 2, 10, 10000) } |
| func BenchmarkScan100000Base2(b *testing.B) { ScanHelper(b, 2, 10, 100000) } |
| |
| func BenchmarkScan10Base8(b *testing.B) { ScanHelper(b, 8, 10, 10) } |
| func BenchmarkScan100Base8(b *testing.B) { ScanHelper(b, 8, 10, 100) } |
| func BenchmarkScan1000Base8(b *testing.B) { ScanHelper(b, 8, 10, 1000) } |
| func BenchmarkScan10000Base8(b *testing.B) { ScanHelper(b, 8, 10, 10000) } |
| func BenchmarkScan100000Base8(b *testing.B) { ScanHelper(b, 8, 10, 100000) } |
| |
| func BenchmarkScan10Base10(b *testing.B) { ScanHelper(b, 10, 10, 10) } |
| func BenchmarkScan100Base10(b *testing.B) { ScanHelper(b, 10, 10, 100) } |
| func BenchmarkScan1000Base10(b *testing.B) { ScanHelper(b, 10, 10, 1000) } |
| func BenchmarkScan10000Base10(b *testing.B) { ScanHelper(b, 10, 10, 10000) } |
| func BenchmarkScan100000Base10(b *testing.B) { ScanHelper(b, 10, 10, 100000) } |
| |
| func BenchmarkScan10Base16(b *testing.B) { ScanHelper(b, 16, 10, 10) } |
| func BenchmarkScan100Base16(b *testing.B) { ScanHelper(b, 16, 10, 100) } |
| func BenchmarkScan1000Base16(b *testing.B) { ScanHelper(b, 16, 10, 1000) } |
| func BenchmarkScan10000Base16(b *testing.B) { ScanHelper(b, 16, 10, 10000) } |
| func BenchmarkScan100000Base16(b *testing.B) { ScanHelper(b, 16, 10, 100000) } |
| |
| func ScanHelper(b *testing.B, base int, x, y Word) { |
| b.StopTimer() |
| var z nat |
| z = z.expWW(x, y) |
| |
| var s string |
| s = z.string(lowercaseDigits[0:base]) |
| if t := toString(z, lowercaseDigits[0:base]); t != s { |
| b.Fatalf("scanning: got %s; want %s", s, t) |
| } |
| b.StartTimer() |
| |
| for i := 0; i < b.N; i++ { |
| z.scan(strings.NewReader(s), base) |
| } |
| } |
| |
| func BenchmarkString10Base2(b *testing.B) { StringHelper(b, 2, 10, 10) } |
| func BenchmarkString100Base2(b *testing.B) { StringHelper(b, 2, 10, 100) } |
| func BenchmarkString1000Base2(b *testing.B) { StringHelper(b, 2, 10, 1000) } |
| func BenchmarkString10000Base2(b *testing.B) { StringHelper(b, 2, 10, 10000) } |
| func BenchmarkString100000Base2(b *testing.B) { StringHelper(b, 2, 10, 100000) } |
| |
| func BenchmarkString10Base8(b *testing.B) { StringHelper(b, 8, 10, 10) } |
| func BenchmarkString100Base8(b *testing.B) { StringHelper(b, 8, 10, 100) } |
| func BenchmarkString1000Base8(b *testing.B) { StringHelper(b, 8, 10, 1000) } |
| func BenchmarkString10000Base8(b *testing.B) { StringHelper(b, 8, 10, 10000) } |
| func BenchmarkString100000Base8(b *testing.B) { StringHelper(b, 8, 10, 100000) } |
| |
| func BenchmarkString10Base10(b *testing.B) { StringHelper(b, 10, 10, 10) } |
| func BenchmarkString100Base10(b *testing.B) { StringHelper(b, 10, 10, 100) } |
| func BenchmarkString1000Base10(b *testing.B) { StringHelper(b, 10, 10, 1000) } |
| func BenchmarkString10000Base10(b *testing.B) { StringHelper(b, 10, 10, 10000) } |
| func BenchmarkString100000Base10(b *testing.B) { StringHelper(b, 10, 10, 100000) } |
| |
| func BenchmarkString10Base16(b *testing.B) { StringHelper(b, 16, 10, 10) } |
| func BenchmarkString100Base16(b *testing.B) { StringHelper(b, 16, 10, 100) } |
| func BenchmarkString1000Base16(b *testing.B) { StringHelper(b, 16, 10, 1000) } |
| func BenchmarkString10000Base16(b *testing.B) { StringHelper(b, 16, 10, 10000) } |
| func BenchmarkString100000Base16(b *testing.B) { StringHelper(b, 16, 10, 100000) } |
| |
| func StringHelper(b *testing.B, base int, x, y Word) { |
| b.StopTimer() |
| var z nat |
| z = z.expWW(x, y) |
| z.string(lowercaseDigits[0:base]) // warm divisor cache |
| b.StartTimer() |
| |
| for i := 0; i < b.N; i++ { |
| _ = z.string(lowercaseDigits[0:base]) |
| } |
| } |
| |
| func BenchmarkLeafSize0(b *testing.B) { LeafSizeHelper(b, 10, 0) } // test without splitting |
| func BenchmarkLeafSize1(b *testing.B) { LeafSizeHelper(b, 10, 1) } |
| func BenchmarkLeafSize2(b *testing.B) { LeafSizeHelper(b, 10, 2) } |
| func BenchmarkLeafSize3(b *testing.B) { LeafSizeHelper(b, 10, 3) } |
| func BenchmarkLeafSize4(b *testing.B) { LeafSizeHelper(b, 10, 4) } |
| func BenchmarkLeafSize5(b *testing.B) { LeafSizeHelper(b, 10, 5) } |
| func BenchmarkLeafSize6(b *testing.B) { LeafSizeHelper(b, 10, 6) } |
| func BenchmarkLeafSize7(b *testing.B) { LeafSizeHelper(b, 10, 7) } |
| func BenchmarkLeafSize8(b *testing.B) { LeafSizeHelper(b, 10, 8) } |
| func BenchmarkLeafSize9(b *testing.B) { LeafSizeHelper(b, 10, 9) } |
| func BenchmarkLeafSize10(b *testing.B) { LeafSizeHelper(b, 10, 10) } |
| func BenchmarkLeafSize11(b *testing.B) { LeafSizeHelper(b, 10, 11) } |
| func BenchmarkLeafSize12(b *testing.B) { LeafSizeHelper(b, 10, 12) } |
| func BenchmarkLeafSize13(b *testing.B) { LeafSizeHelper(b, 10, 13) } |
| func BenchmarkLeafSize14(b *testing.B) { LeafSizeHelper(b, 10, 14) } |
| func BenchmarkLeafSize15(b *testing.B) { LeafSizeHelper(b, 10, 15) } |
| func BenchmarkLeafSize16(b *testing.B) { LeafSizeHelper(b, 10, 16) } |
| func BenchmarkLeafSize32(b *testing.B) { LeafSizeHelper(b, 10, 32) } // try some large lengths |
| func BenchmarkLeafSize64(b *testing.B) { LeafSizeHelper(b, 10, 64) } |
| |
| func LeafSizeHelper(b *testing.B, base Word, size int) { |
| b.StopTimer() |
| originalLeafSize := leafSize |
| resetTable(cacheBase10[:]) |
| leafSize = size |
| b.StartTimer() |
| |
| for d := 1; d <= 10000; d *= 10 { |
| b.StopTimer() |
| var z nat |
| z = z.expWW(base, Word(d)) // build target number |
| _ = z.string(lowercaseDigits[0:base]) // warm divisor cache |
| b.StartTimer() |
| |
| for i := 0; i < b.N; i++ { |
| _ = z.string(lowercaseDigits[0:base]) |
| } |
| } |
| |
| b.StopTimer() |
| resetTable(cacheBase10[:]) |
| leafSize = originalLeafSize |
| b.StartTimer() |
| } |
| |
| func resetTable(table []divisor) { |
| if table != nil && table[0].bbb != nil { |
| for i := 0; i < len(table); i++ { |
| table[i].bbb = nil |
| table[i].nbits = 0 |
| table[i].ndigits = 0 |
| } |
| } |
| } |
| |
| func TestStringPowers(t *testing.T) { |
| var b, p Word |
| for b = 2; b <= 16; b++ { |
| for p = 0; p <= 512; p++ { |
| x := nat(nil).expWW(b, p) |
| xs := x.string(lowercaseDigits[0:b]) |
| xs2 := toString(x, lowercaseDigits[0:b]) |
| if xs != xs2 { |
| t.Errorf("failed at %d ** %d in base %d: %s != %s", b, p, b, xs, xs2) |
| } |
| } |
| if b >= 3 && testing.Short() { |
| break |
| } |
| } |
| } |
| |
| func TestLeadingZeros(t *testing.T) { |
| var x Word = _B >> 1 |
| for i := 0; i <= _W; i++ { |
| if int(leadingZeros(x)) != i { |
| t.Errorf("failed at %x: got %d want %d", x, leadingZeros(x), i) |
| } |
| x >>= 1 |
| } |
| } |
| |
| type shiftTest struct { |
| in nat |
| shift uint |
| out nat |
| } |
| |
| var leftShiftTests = []shiftTest{ |
| {nil, 0, nil}, |
| {nil, 1, nil}, |
| {natOne, 0, natOne}, |
| {natOne, 1, natTwo}, |
| {nat{1 << (_W - 1)}, 1, nat{0}}, |
| {nat{1 << (_W - 1), 0}, 1, nat{0, 1}}, |
| } |
| |
| func TestShiftLeft(t *testing.T) { |
| for i, test := range leftShiftTests { |
| var z nat |
| z = z.shl(test.in, test.shift) |
| for j, d := range test.out { |
| if j >= len(z) || z[j] != d { |
| t.Errorf("#%d: got: %v want: %v", i, z, test.out) |
| break |
| } |
| } |
| } |
| } |
| |
| var rightShiftTests = []shiftTest{ |
| {nil, 0, nil}, |
| {nil, 1, nil}, |
| {natOne, 0, natOne}, |
| {natOne, 1, nil}, |
| {natTwo, 1, natOne}, |
| {nat{0, 1}, 1, nat{1 << (_W - 1)}}, |
| {nat{2, 1, 1}, 1, nat{1<<(_W-1) + 1, 1 << (_W - 1)}}, |
| } |
| |
| func TestShiftRight(t *testing.T) { |
| for i, test := range rightShiftTests { |
| var z nat |
| z = z.shr(test.in, test.shift) |
| for j, d := range test.out { |
| if j >= len(z) || z[j] != d { |
| t.Errorf("#%d: got: %v want: %v", i, z, test.out) |
| break |
| } |
| } |
| } |
| } |
| |
| type modWTest struct { |
| in string |
| dividend string |
| out string |
| } |
| |
| var modWTests32 = []modWTest{ |
| {"23492635982634928349238759823742", "252341", "220170"}, |
| } |
| |
| var modWTests64 = []modWTest{ |
| {"6527895462947293856291561095690465243862946", "524326975699234", "375066989628668"}, |
| } |
| |
| func runModWTests(t *testing.T, tests []modWTest) { |
| for i, test := range tests { |
| in, _ := new(Int).SetString(test.in, 10) |
| d, _ := new(Int).SetString(test.dividend, 10) |
| out, _ := new(Int).SetString(test.out, 10) |
| |
| r := in.abs.modW(d.abs[0]) |
| if r != out.abs[0] { |
| t.Errorf("#%d failed: got %s want %s", i, r, out) |
| } |
| } |
| } |
| |
| func TestModW(t *testing.T) { |
| if _W >= 32 { |
| runModWTests(t, modWTests32) |
| } |
| if _W >= 64 { |
| runModWTests(t, modWTests64) |
| } |
| } |
| |
| func TestTrailingZeroBits(t *testing.T) { |
| var x Word |
| x-- |
| for i := 0; i < _W; i++ { |
| if trailingZeroBits(x) != i { |
| t.Errorf("Failed at step %d: x: %x got: %d", i, x, trailingZeroBits(x)) |
| } |
| x <<= 1 |
| } |
| } |
| |
| var expNNTests = []struct { |
| x, y, m string |
| out string |
| }{ |
| {"0x8000000000000000", "2", "", "0x40000000000000000000000000000000"}, |
| {"0x8000000000000000", "2", "6719", "4944"}, |
| {"0x8000000000000000", "3", "6719", "5447"}, |
| {"0x8000000000000000", "1000", "6719", "1603"}, |
| {"0x8000000000000000", "1000000", "6719", "3199"}, |
| { |
| "2938462938472983472983659726349017249287491026512746239764525612965293865296239471239874193284792387498274256129746192347", |
| "298472983472983471903246121093472394872319615612417471234712061", |
| "29834729834729834729347290846729561262544958723956495615629569234729836259263598127342374289365912465901365498236492183464", |
| "23537740700184054162508175125554701713153216681790245129157191391322321508055833908509185839069455749219131480588829346291", |
| }, |
| } |
| |
| func TestExpNN(t *testing.T) { |
| for i, test := range expNNTests { |
| x, _, _ := nat(nil).scan(strings.NewReader(test.x), 0) |
| y, _, _ := nat(nil).scan(strings.NewReader(test.y), 0) |
| out, _, _ := nat(nil).scan(strings.NewReader(test.out), 0) |
| |
| var m nat |
| |
| if len(test.m) > 0 { |
| m, _, _ = nat(nil).scan(strings.NewReader(test.m), 0) |
| } |
| |
| z := nat(nil).expNN(x, y, m) |
| if z.cmp(out) != 0 { |
| t.Errorf("#%d got %v want %v", i, z, out) |
| } |
| } |
| } |