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-rw-r--r--src/pkg/math/big/nat_test.go771
1 files changed, 0 insertions, 771 deletions
diff --git a/src/pkg/math/big/nat_test.go b/src/pkg/math/big/nat_test.go
deleted file mode 100644
index a2ae53385..000000000
--- a/src/pkg/math/big/nat_test.go
+++ /dev/null
@@ -1,771 +0,0 @@
-// 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"
- "runtime"
- "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}},
- // 3^100 * 3^28 = 3^128
- {
- natFromString("11790184577738583171520872861412518665678211592275841109096961"),
- natFromString("515377520732011331036461129765621272702107522001"),
- natFromString("22876792454961"),
- },
- // z = 111....1 (70000 digits)
- // x = 10^(99*700) + ... + 10^1400 + 10^700 + 1
- // y = 111....1 (700 digits, larger than Karatsuba threshold on 32-bit and 64-bit)
- {
- natFromString(strings.Repeat("1", 70000)),
- natFromString("1" + strings.Repeat(strings.Repeat("0", 699)+"1", 99)),
- natFromString(strings.Repeat("1", 700)),
- },
- // z = 111....1 (20000 digits)
- // x = 10^10000 + 1
- // y = 111....1 (10000 digits)
- {
- natFromString(strings.Repeat("1", 20000)),
- natFromString("1" + strings.Repeat("0", 9999) + "1"),
- natFromString(strings.Repeat("1", 10000)),
- },
-}
-
-func natFromString(s string) nat {
- x, _, err := nat(nil).scan(strings.NewReader(s), 0)
- if err != nil {
- panic(err)
- }
- return x
-}
-
-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)
- }
- }
-}
-
-// allocBytes returns the number of bytes allocated by invoking f.
-func allocBytes(f func()) uint64 {
- var stats runtime.MemStats
- runtime.ReadMemStats(&stats)
- t := stats.TotalAlloc
- f()
- runtime.ReadMemStats(&stats)
- return stats.TotalAlloc - t
-}
-
-// TestMulUnbalanced tests that multiplying numbers of different lengths
-// does not cause deep recursion and in turn allocate too much memory.
-// Test case for issue 3807.
-func TestMulUnbalanced(t *testing.T) {
- defer runtime.GOMAXPROCS(runtime.GOMAXPROCS(1))
- x := rndNat(50000)
- y := rndNat(40)
- allocSize := allocBytes(func() {
- nat(nil).mul(x, y)
- })
- inputSize := uint64(len(x)+len(y)) * _S
- if ratio := allocSize / uint64(inputSize); ratio > 10 {
- t.Errorf("multiplication uses too much memory (%d > %d times the size of inputs)", allocSize, ratio)
- }
-}
-
-func rndNat(n int) nat {
- return nat(rndV(n)).norm()
-}
-
-func BenchmarkMul(b *testing.B) {
- mulx := rndNat(1e4)
- muly := rndNat(1e4)
- b.ResetTimer()
- for i := 0; i < b.N; i++ {
- var z nat
- z.mul(mulx, muly)
- }
-}
-
-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 TestScanPiParallel(t *testing.T) {
- const n = 2
- c := make(chan int)
- for i := 0; i < n; i++ {
- go func() {
- TestScanPi(t)
- c <- 0
- }()
- }
- for i := 0; i < n; i++ {
- <-c
- }
-}
-
-func BenchmarkScanPi(b *testing.B) {
- for i := 0; i < b.N; i++ {
- var x nat
- x.scan(strings.NewReader(pi), 10)
- }
-}
-
-func BenchmarkStringPiParallel(b *testing.B) {
- var x nat
- x, _, _ = x.scan(strings.NewReader(pi), 0)
- if x.decimalString() != pi {
- panic("benchmark incorrect: conversion failed")
- }
- b.RunParallel(func(pb *testing.PB) {
- for pb.Next() {
- x.decimalString()
- }
- })
-}
-
-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.table[:])
- 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.table[:])
- 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 %d 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) {
- x := Word(1)
- for i := uint(0); i <= _W; i++ {
- n := trailingZeroBits(x)
- if n != i%_W {
- t.Errorf("got trailingZeroBits(%#x) = %d; want %d", x, n, i%_W)
- }
- x <<= 1
- }
-
- y := nat(nil).set(natOne)
- for i := uint(0); i <= 3*_W; i++ {
- n := y.trailingZeroBits()
- if n != i {
- t.Errorf("got 0x%s.trailingZeroBits() = %d; want %d", y.string(lowercaseDigits[0:16]), n, i)
- }
- y = y.shl(y, 1)
- }
-}
-
-var expNNTests = []struct {
- x, y, m string
- out string
-}{
- {"0", "0", "0", "1"},
- {"0", "0", "1", "0"},
- {"1", "1", "1", "0"},
- {"2", "1", "1", "0"},
- {"2", "2", "1", "0"},
- {"10", "100000000000", "1", "0"},
- {"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 %s want %s", i, z.decimalString(), out.decimalString())
- }
- }
-}
-
-func ExpHelper(b *testing.B, x, y Word) {
- var z nat
- for i := 0; i < b.N; i++ {
- z.expWW(x, y)
- }
-}
-
-func BenchmarkExp3Power0x10(b *testing.B) { ExpHelper(b, 3, 0x10) }
-func BenchmarkExp3Power0x40(b *testing.B) { ExpHelper(b, 3, 0x40) }
-func BenchmarkExp3Power0x100(b *testing.B) { ExpHelper(b, 3, 0x100) }
-func BenchmarkExp3Power0x400(b *testing.B) { ExpHelper(b, 3, 0x400) }
-func BenchmarkExp3Power0x1000(b *testing.B) { ExpHelper(b, 3, 0x1000) }
-func BenchmarkExp3Power0x4000(b *testing.B) { ExpHelper(b, 3, 0x4000) }
-func BenchmarkExp3Power0x10000(b *testing.B) { ExpHelper(b, 3, 0x10000) }
-func BenchmarkExp3Power0x40000(b *testing.B) { ExpHelper(b, 3, 0x40000) }
-func BenchmarkExp3Power0x100000(b *testing.B) { ExpHelper(b, 3, 0x100000) }
-func BenchmarkExp3Power0x400000(b *testing.B) { ExpHelper(b, 3, 0x400000) }
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