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NBKDoubleWidth+Text.swift
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//=----------------------------------------------------------------------------=
// This source file is part of the Numberick open source project.
//
// Copyright (c) 2023 Oscar Byström Ericsson
// Licensed under Apache License, Version 2.0
//
// See http://www.apache.org/licenses/LICENSE-2.0 for license information.
//=----------------------------------------------------------------------------=
import NBKCoreKit
import NBKDoubleWidthKit
import XCTest
private typealias X64 = NBK.U256X64
private typealias X32 = NBK.U256X32
//*============================================================================*
// MARK: * NBK x Double Width x Text x Int256
//*============================================================================*
//=----------------------------------------------------------------------------=
// NOTE: See the for-each-radix section for more encoding tests.
//=----------------------------------------------------------------------------=
final class NBKDoubleWidthTestsOnTextAsInt256: XCTestCase {
typealias T = Int256
typealias T2 = NBKDoubleWidth<T>
//=------------------------------------------------------------------------=
// MARK: Tests
//=------------------------------------------------------------------------=
/// - Note: Its description is not as lenient as its string literal.
func testFromDescription() {
NBKAssertFromDescription(T?( 10), "10")
NBKAssertFromDescription(T?( 10), "+10")
NBKAssertFromDescription(T?(-10), "-10")
NBKAssertFromDescription(T?(nil), " 10")
NBKAssertFromDescription(T?(nil), "0x10")
NBKAssertFromDescription(T?(nil), "+0x10")
NBKAssertFromDescription(T?(nil), "-0x10")
NBKAssertFromDescription(T?(nil), " 0x10")
}
func testDescriptionUsesRadix10() {
XCTAssertEqual( "10", T( 10).description)
XCTAssertEqual("-10", T(-10).description)
XCTAssertEqual( "10", String(describing: T( 10)))
XCTAssertEqual("-10", String(describing: T(-10)))
}
func testMetaTypeDescriptionIsSimple() {
XCTAssertEqual("Int256", T .description)
XCTAssertEqual("Int512", T2.description)
}
//=------------------------------------------------------------------------=
// MARK: Tests x Decoding
//=------------------------------------------------------------------------=
func testDecodingUnalignedStringsIsOK() {
NBKAssertDecodingText(T(1), 10, "1")
NBKAssertDecodingText(T(1), 16, "1")
}
func testDecodingRadixLiteralAsNumber() {
NBKAssertDecodingText(T( 33), 36, "0x")
NBKAssertDecodingText(T( 24), 36, "0o")
NBKAssertDecodingText(T( 11), 36, "0b")
NBKAssertDecodingText(T( 33), 36, "+0x")
NBKAssertDecodingText(T( 24), 36, "+0o")
NBKAssertDecodingText(T( 11), 36, "+0b")
NBKAssertDecodingText(T(-33), 36, "-0x")
NBKAssertDecodingText(T(-24), 36, "-0o")
NBKAssertDecodingText(T(-11), 36, "-0b")
}
func testDecodingRadixLiteralAsRadixReturnsNil() {
NBKAssertDecodingText(T?.none, 10, "0x10")
NBKAssertDecodingText(T?.none, 10, "0o10")
NBKAssertDecodingText(T?.none, 10, "0b10")
NBKAssertDecodingText(T?.none, 10, "+0x10")
NBKAssertDecodingText(T?.none, 10, "+0o10")
NBKAssertDecodingText(T?.none, 10, "+0b10")
NBKAssertDecodingText(T?.none, 10, "-0x10")
NBKAssertDecodingText(T?.none, 10, "-0o10")
NBKAssertDecodingText(T?.none, 10, "-0b10")
}
func testDecodingStringsWithAndWithoutSign() {
NBKAssertDecodingText(T( 1234567890), 10, "1234567890")
NBKAssertDecodingText(T( 1234567890), 10, "+1234567890")
NBKAssertDecodingText(T(-1234567890), 10, "-1234567890")
}
func testDecodingStrategyIsCaseInsensitive() {
NBKAssertDecodingText(T(0xabcdef), 16, "abcdef")
NBKAssertDecodingText(T(0xABCDEF), 16, "ABCDEF")
NBKAssertDecodingText(T(0xaBcDeF), 16, "aBcDeF")
NBKAssertDecodingText(T(0xAbCdEf), 16, "AbCdEf")
}
func testDecodingPrefixingZerosHasNoEffect() {
let zero = String(repeating: "0", count: T.bitWidth) + "0"
let one = String(repeating: "0", count: T.bitWidth) + "1"
for radix in 02 ... 36 {
NBKAssertDecodingText(T(0), radix, zero)
NBKAssertDecodingText(T(1), radix, one )
}
}
func testDecodingInvalidCharactersReturnsNil() {
NBKAssertDecodingText(T?.none, 16, "/")
NBKAssertDecodingText(T?.none, 16, "G")
NBKAssertDecodingText(T?.none, 10, "/")
NBKAssertDecodingText(T?.none, 10, ":")
NBKAssertDecodingText(T?.none, 10, String(repeating: "1", count: 19) + "/")
NBKAssertDecodingText(T?.none, 10, String(repeating: "1", count: 19) + ":")
}
func testDecodingStringsWithoutDigitsReturnsNil() {
NBKAssertDecodingText(T?.none, 10, "")
NBKAssertDecodingText(T?.none, 10, "+")
NBKAssertDecodingText(T?.none, 10, "-")
NBKAssertDecodingText(T?.none, 10, "~")
NBKAssertDecodingText(T?.none, 16, "")
NBKAssertDecodingText(T?.none, 16, "+")
NBKAssertDecodingText(T?.none, 16, "-")
NBKAssertDecodingText(T?.none, 16, "~")
}
func testDecodingValuesOutsideOfRepresentableRangeReturnsNil() {
let positive = "+" + String(repeating: "1", count: T.bitWidth)
let negative = "-" + String(repeating: "1", count: T.bitWidth)
for radix in 02 ... 36 {
NBKAssertDecodingText(T?.none, radix, positive)
NBKAssertDecodingText(T?.none, radix, negative)
}
NBKAssertDecodingText(T?.none, 36, "-36ukv65j19b11mbvjyfui963v4my01krth19g3r3bk1ojlrwu9" ) // - 01
NBKAssertDecodingText(T?.none, 36, "-36ukv65j19b11mbvjyfui963v4my01krth19g3r3bk1ojlrwu80") // * 36
NBKAssertDecodingText(T?.none, 36, "36ukv65j19b11mbvjyfui963v4my01krth19g3r3bk1ojlrwu8" ) // + 01
NBKAssertDecodingText(T?.none, 36, "36ukv65j19b11mbvjyfui963v4my01krth19g3r3bk1ojlrwu70") // * 36
}
}
//*============================================================================*
// MARK: * NBK x Double Width x Text x UInt256
//*============================================================================*
//=----------------------------------------------------------------------------=
// NOTE: See the for-each-radix section for more encoding tests.
//=----------------------------------------------------------------------------=
final class NBKDoubleWidthTestsOnTextAsUInt256: XCTestCase {
typealias T = UInt256
typealias T2 = NBKDoubleWidth<T>
//=------------------------------------------------------------------------=
// MARK: Tests
//=------------------------------------------------------------------------=
/// - Note: Its description is not as lenient as its string literal.
func testFromDescription() {
NBKAssertFromDescription(T?( 10), "10")
NBKAssertFromDescription(T?( 10), "+10")
NBKAssertFromDescription(T?(nil), "-10")
NBKAssertFromDescription(T?(nil), " 10")
NBKAssertFromDescription(T?(nil), "0x10")
NBKAssertFromDescription(T?(nil), "+0x10")
NBKAssertFromDescription(T?(nil), "-0x10")
NBKAssertFromDescription(T?(nil), " 0x10")
}
func testInstanceDescriptionUsesRadix10() {
XCTAssertEqual("10", T(10).description)
XCTAssertEqual("10", String(describing: T(10)))
}
func testMetaTypeDescriptionIsSimple() {
XCTAssertEqual("UInt256", T .description)
XCTAssertEqual("UInt512", T2.description)
}
//=------------------------------------------------------------------------=
// MARK: Tests x Decoding
//=------------------------------------------------------------------------=
func testDecodingUnalignedStringsIsOK() {
NBKAssertDecodingText(T(1), 10, "1")
NBKAssertDecodingText(T(1), 16, "1")
}
func testDecodingRadixLiteralAsNumber() {
NBKAssertDecodingText(T(33), 36, "0x")
NBKAssertDecodingText(T(24), 36, "0o")
NBKAssertDecodingText(T(11), 36, "0b")
NBKAssertDecodingText(T(33), 36, "+0x")
NBKAssertDecodingText(T(24), 36, "+0o")
NBKAssertDecodingText(T(11), 36, "+0b")
}
func testDecodingRadixLiteralAsRadixReturnsNil() {
NBKAssertDecodingText(T?.none, 10, "0x10")
NBKAssertDecodingText(T?.none, 10, "0o10")
NBKAssertDecodingText(T?.none, 10, "0b10")
NBKAssertDecodingText(T?.none, 10, "+0x10")
NBKAssertDecodingText(T?.none, 10, "+0o10")
NBKAssertDecodingText(T?.none, 10, "+0b10")
}
func testDecodingStringsWithAndWithoutSign() {
NBKAssertDecodingText(T(1234567890), 10, "1234567890")
NBKAssertDecodingText(T(1234567890), 10, "+1234567890")
}
func testDecodingStrategyIsCaseInsensitive() {
NBKAssertDecodingText(T(0xabcdef), 16, "abcdef")
NBKAssertDecodingText(T(0xABCDEF), 16, "ABCDEF")
NBKAssertDecodingText(T(0xaBcDeF), 16, "aBcDeF")
NBKAssertDecodingText(T(0xAbCdEf), 16, "AbCdEf")
}
func testDecodingPrefixingZerosHasNoEffect() {
let zero = String(repeating: "0", count: T.bitWidth) + "0"
let one = String(repeating: "0", count: T.bitWidth) + "1"
for radix in 02 ... 36 {
NBKAssertDecodingText(T(0), radix, zero)
NBKAssertDecodingText(T(1), radix, one )
}
}
func testDecodingInvalidCharactersReturnsNil() {
NBKAssertDecodingText(T?.none, 16, "/")
NBKAssertDecodingText(T?.none, 16, "G")
NBKAssertDecodingText(T?.none, 10, "/")
NBKAssertDecodingText(T?.none, 10, ":")
NBKAssertDecodingText(T?.none, 10, String(repeating: "1", count: 19) + "/")
NBKAssertDecodingText(T?.none, 10, String(repeating: "1", count: 19) + ":")
}
func testDecodingStringsWithoutDigitsReturnsNil() {
NBKAssertDecodingText(T?.none, 10, "")
NBKAssertDecodingText(T?.none, 10, "+")
NBKAssertDecodingText(T?.none, 10, "-")
NBKAssertDecodingText(T?.none, 10, "~")
NBKAssertDecodingText(T?.none, 16, "")
NBKAssertDecodingText(T?.none, 16, "+")
NBKAssertDecodingText(T?.none, 16, "-")
NBKAssertDecodingText(T?.none, 16, "~")
}
func testDecodingValuesOutsideOfRepresentableRangeReturnsNil() {
let positive = "+" + String(repeating: "1", count: T.bitWidth + 1)
let negative = "-" + String(repeating: "1", count: 1)
for radix in 02 ... 36 {
NBKAssertDecodingText(T?.none, radix, positive)
NBKAssertDecodingText(T?.none, radix, negative)
}
NBKAssertDecodingText(T?.none, 36, "6dp5qcb22im238nr3wvp0ic7q99w035jmy2iw7i6n43d37jtog" ) // + 01
NBKAssertDecodingText(T?.none, 36, "6dp5qcb22im238nr3wvp0ic7q99w035jmy2iw7i6n43d37jtof0") // * 36
}
}
//*============================================================================*
// MARK: * NBK x Double Width x Text x For Each Radix x Int256
//*============================================================================*
final class NBKDoubleWidthTestsOnTextForEachRadixAsInt256: XCTestCase {
typealias T = Int256
//=------------------------------------------------------------------------=
// MARK: State
//=------------------------------------------------------------------------=
static let min = T(x64: X64(0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x8000000000000000))
static let max = T(x64: X64(0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, 0x7fffffffffffffff))
static let bot = T(x64: X64(0x0706050403020100, 0x0f0e0d0c0b0a0908, 0x1716151413121110, 0x1f1e1d1c1b1a1918))
static let mid = T(x64: X64(0x7776757473727170, 0x7f7e7d7c7b7a7978, 0x8786858483828180, 0x8f8e8d8c8b8a8988))
static let top = T(x64: X64(0xe7e6e5e4e3e2e1e0, 0xefeeedecebeae9e8, 0xf7f6f5f4f3f2f1f0, 0xfffefdfcfbfaf9f8))
//=------------------------------------------------------------------------=
// MARK: Assertions
//=------------------------------------------------------------------------=
func check(_ integer: T, radix: Int, ascii: String, file: StaticString = #file, line: UInt = #line) {
let (ascii) = String(ascii.drop(while:{ $0 == ">" }))
var encoded = String(ascii.drop(while:{ $0 == "0" }))
if encoded.isEmpty {
encoded.append(contentsOf: ascii.suffix(1))
}
NBKAssertDecodingText(integer, radix, ascii, file: file, line: line)
NBKAssertDecodingText(integer, radix, encoded, file: file, line: line)
NBKAssertEncodingText(integer, radix, true, encoded.uppercased(), file: file, line: line)
NBKAssertEncodingText(integer, radix, false, encoded.lowercased(), file: file, line: line)
}
//=------------------------------------------------------------------------=
// MARK: Tests
//=------------------------------------------------------------------------=
func testImportantValues() {
for radix in 02 ... 36 {
self.check(T(-1), radix: radix, ascii: "-1")
self.check(T( 0), radix: radix, ascii: "0")
self.check(T( 1), radix: radix, ascii: "1")
}
for radix in 02 ... 36 {
NBKAssertDecodingText(T( 0), radix, "0")
NBKAssertDecodingText(T( 0), radix, "+0")
NBKAssertDecodingText(T( 0), radix, "-0")
NBKAssertDecodingText(T( 1), radix, "1")
NBKAssertDecodingText(T( 1), radix, "+1")
NBKAssertDecodingText(T(-1), radix, "-1")
}
}
func testNearRadixPowers() {
self.continueAfterFailure = false
let alphabet = Array("0123456789abcdefghijklmnopqrstuvwxyz")
for radix in 2 ... 36 {
var power = T(radix)
let top: Character = alphabet[radix - 1]
for exponent in 1 ... Int.max {
self.check(power - 1, radix: radix, ascii: String(repeating: top, count: exponent))
self.check(power, radix: radix, ascii: "1" + String(repeating: "0", count: exponent))
self.check(power + 1, radix: radix, ascii: "1" + String(repeating: "0", count: exponent - 1) + "1")
guard !power.multiplyReportingOverflow(by: T.Digit(radix)) else { break }
}
}
}
//=------------------------------------------------------------------------=
// MARK: Tests x Min, Max, Bot, Mid, Top
//=------------------------------------------------------------------------=
func test02() {
//=--------------------------------------=
self.check(Self.min, radix: 02, ascii: "-" + """
1000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000
""")
self.check(Self.max, radix: 02, ascii: """
0111111111111111111111111111111111111111111111111111111111111111\
1111111111111111111111111111111111111111111111111111111111111111\
1111111111111111111111111111111111111111111111111111111111111111\
1111111111111111111111111111111111111111111111111111111111111111
""")
//=--------------------------------------=
self.check(Self.bot, radix: 02, ascii: """
0001111100011110000111010001110000011011000110100001100100011000\
0001011100010110000101010001010000010011000100100001000100010000\
0000111100001110000011010000110000001011000010100000100100001000\
0000011100000110000001010000010000000011000000100000000100000000
""")
self.check(Self.mid, radix: 02, ascii: """
-111000001110001011100100111001101110100011101010111011001110111\
0111100001111001011110100111101101111100011111010111111001111111\
1000000010000001100000101000001110000100100001011000011010000111\
1000100010001001100010101000101110001100100011011000111010010000
""")
self.check(Self.top, radix: 02, ascii: """
>>>>>>>>>>>>>>-1000000100000001100000100000001010000011000000111\
0000100000001001000010100000101100001100000011010000111000001111\
0001000000010001000100100001001100010100000101010001011000010111\
0001100000011001000110100001101100011100000111010001111000100000
""")
}
func test03() {
//=--------------------------------------=
self.check(Self.min, radix: 03, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-212211221201222221221111021020222\
0000022211002111211122012220121222021011210212200122010001000121\
0120212210102020010111121211022111102111220220201211121011101022
""")
self.check(Self.max, radix: 03, ascii: """
0000000000000000000000000000000212211221201222221221111021020222\
0000022211002111211122012220121222021011210212200122010001000121\
0120212210102020010111121211022111102111220220201211121011101021
""")
//=--------------------------------------=
self.check(Self.bot, radix: 03, ascii: """
0000000000000000000000000000000012210112211101210122010202201212\
2200112221212101221211222010022020100210220200100011100100222021\
2000121220012212111000111110212212201000011111112211120210102101
""")
self.check(Self.mid, radix: 03, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-202221200121000111002000201220120\
0100110002022002212110122120022120120121022020000012022112200022\
2201002111001000010022002221220111210122120021211122210111110101
""")
self.check(Self.top, radix: 03, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-112102211220012201001002\
0100210111021121000111211102200102222122220100222021202101021202\
0021001021110102110121110202001220110021110020202110222110120112
""")
}
func test04() {
//=--------------------------------------=
self.check(Self.min, radix: 04, ascii: "-" + """
2000000000000000000000000000000000000000000000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000
""")
self.check(Self.max, radix: 04, ascii: """
1333333333333333333333333333333333333333333333333333333333333333\
3333333333333333333333333333333333333333333333333333333333333333
""")
//=--------------------------------------=
self.check(Self.bot, radix: 04, ascii: """
0133013201310130012301220121012001130112011101100103010201010100\
0033003200310030002300220021002000130012001100100003000200010000
""")
self.check(Self.mid, radix: 04, ascii: "-" + """
1300130113021303131013111312131313201321132213231330133113321333\
2000200120022003201020112012201320202021202220232030203120322100
""")
self.check(Self.top, radix: 04, ascii: """
>>>>>>-100020003001000110012001300200021002200230030003100320033\
0100010101020103011001110112011301200121012201230130013101320200
""")
}
func test05() {
//=--------------------------------------=
self.check(Self.min, radix: 05, ascii: """
>>>>>>>>>>>>>>>>>-3334323240241144222433141011441000210314332402\
3003242313133442033313110111332210012111100301020311021043214333
""")
self.check(Self.max, radix: 05, ascii: """
0000000000000000003334323240241144222433141011441000210314332402\
3003242313133442033313110111332210012111100301020311021043214332
""")
//=--------------------------------------=
self.check(Self.bot, radix: 05, ascii: """
0000000000000000000424043311031102404011202312202132022104340041\
4431003121344314114341012313341313423214420311244321214230031301
""")
self.check(Self.mid, radix: 05, ascii: """
>>>>>>>>>>>>>>>>>-3122302310141322000141204143204211431143030343\
4420011033211223444200110042422421042022412120244444241040224031
""")
self.check(Self.top, radix: 05, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>-1400331402403422234130134110013311231024\
3303440111444332441110012231022241033043044000303143204214100142
""")
}
func test06() {
//=--------------------------------------=
self.check(Self.min, radix: 06, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>-31050325110053101131501013415513154\
2350301310035104345400013243452501132403430315320140313343525012
""")
self.check(Self.max, radix: 06, ascii: """
0000000000000000000000000000031050325110053101131501013415513154\
2350301310035104345400013243452501132403430315320140313343525011
""")
//=--------------------------------------=
self.check(Self.bot, radix: 06, ascii: """
0000000000000000000000000000004353050531332542114015530141512113\
1210015440102001011522210020211244125255022541512055450000200144
""")
self.check(Self.mid, radix: 06, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>-24452023244541322421103302440505530\
5415115311355003011330235105045533150455435210052142332104142144
""")
self.check(Self.top, radix: 06, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-43245105425052424504223501222\
1303251443141353455423053303001352201443040323020103523041030452
""")
}
func test07() {
//=--------------------------------------=
self.check(Self.min, radix: 07, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-502516521126261130633636133\
3504421064511062363204066403424464106430553254544410111601410511
""")
self.check(Self.max, radix: 07, ascii: """
0000000000000000000000000000000000000502516521126261130633636133\
3504421064511062363204066403424464106430553254544410111601410510
""")
//=--------------------------------------=
self.check(Self.bot, radix: 07, ascii: """
0000000000000000000000000000000000000114142063044505436351120634\
3333263503132100565010106005630324255134635601621240633030645403
""")
self.check(Self.mid, radix: 07, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-430433333261652266363003046\
4525400436610610266640420436232465253464002241452216462324435256
""")
self.check(Self.top, radix: 07, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-2420342561043536221463\
5405222520331433405210051104243326606234203542433556664210030626
""")
}
func test08() {
//=--------------------------------------=
self.check(Self.min, radix: 08, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-1000000000000000000000\
0000000000000000000000000000000000000000000000000000000000000000
""")
self.check(Self.max, radix: 08, ascii: """
0000000000000000000000000000000000000000000777777777777777777777\
7777777777777777777777777777777777777777777777777777777777777777
""")
//=--------------------------------------=
self.check(Self.bot, radix: 08, ascii: """
0000000000000000000000000000000000000000000174360721603306414430\
0561302505011422042100170340641402605011020034060120200300400400
""")
self.check(Self.mid, radix: 08, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-701613447156435273167\
3607457236676175374776004030120341102606417042114250561443307220
""")
self.check(Self.top, radix: 08, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-10040140401203007\
0200441202606015034074200421102305012426056140310641543407217040
""")
}
func test09() {
//=--------------------------------------=
self.check(Self.min, radix: 09, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-25757658857437228\
0028407474818655823472561810101716783366114554274374826654534338
""")
self.check(Self.max, radix: 09, ascii: """
0000000000000000000000000000000000000000000000025757658857437228\
0028407474818655823472561810101716783366114554274374826654534337
""")
//=--------------------------------------=
self.check(Self.bot, radix: 09, ascii: """
0000000000000000000000000000000000000000000000005715741718122655\
8048777185486326632382030431086760556185430443785630144484523371
""")
self.check(Self.mid, radix: 09, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-22850530432021816\
1040226277357627651726600527560881074030108087814718507748714411
""")
self.check(Self.top, radix: 09, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-472756181032\
1071424701474261287881086767125207037412417422056407406673873515
""")
}
func test10() {
//=--------------------------------------=
self.check(Self.min, radix: 10, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-5789604461865\
8097711785492504343953926634992332820282019728792003956564819968
""")
self.check(Self.max, radix: 10, ascii: """
0000000000000000000000000000000000000000000000000005789604461865\
8097711785492504343953926634992332820282019728792003956564819967
""")
//=--------------------------------------=
self.check(Self.bot, radix: 10, ascii: """
0000000000000000000000000000000000000000000000000001407490462640\
1341155369551180448584754667373453244490859944217516317499064576
""")
self.check(Self.mid, radix: 10, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-5085948267138\
7740984123197275403849845401676771016688189633957044982805008016
""")
self.check(Self.top, radix: 10, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-178073186\
0627700044960722568376592200742329637303199754547598369979440672
""")
}
func test11() {
//=--------------------------------------=
self.check(Self.min, radix: 11, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-5564a636a6\
83a141740734645043a52561643a0a749a7776a6175922499a363054a116209a
""")
self.check(Self.max, radix: 11, ascii: """
0000000000000000000000000000000000000000000000000000005564a636a6\
83a141740734645043a52561643a0a749a7776a6175922499a363054a1162099
""")
//=--------------------------------------=
self.check(Self.bot, radix: 11, ascii: """
0000000000000000000000000000000000000000000000000000001380227a9a\
3a453071005401517000a3500756239a46834284766655651370a28295109a06
""")
self.check(Self.mid, radix: 11, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-4924a76771\
599a8932761822456952138012a955628948004738638086225036713a895976
""")
self.check(Self.top, radix: 11, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-25312a\
a04214992920284110057a8814850476242400770876622879a0040682476569
""")
}
func test12() {
//=--------------------------------------=
self.check(Self.min, radix: 12, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-1471716a\
2457a90b2a6952a7598593ab58bb221690484007749639852a096b1660bb9768
""")
self.check(Self.max, radix: 12, ascii: """
000000000000000000000000000000000000000000000000000000001471716a\
2457a90b2a6952a7598593ab58bb221690484007749639852a096b1660bb9767
""")
//=--------------------------------------=
self.check(Self.bot, radix: 12, ascii: """
000000000000000000000000000000000000000000000000000000000404b13b\
22595a847521b8ab337490660a0b7439b1495399a8b2918a9521301732309054
""")
self.check(Self.mid, radix: 12, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-126b2024\
768795725937a963628576b51a8334461b8b476b939b470345279684a6767954
""")
self.check(Self.top, radix: 12, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-a70\
06b9338b127aaa234174567551579898901366a62700a8470759833401625428
""")
}
func test13() {
//=--------------------------------------=
self.check(Self.min, radix: 13, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-a454c\
546a8ccb8476bc1c3b328c60971088aabc0b27b23000c4383435a916192432a8
""")
self.check(Self.max, radix: 13, ascii: """
00000000000000000000000000000000000000000000000000000000000a454c\
546a8ccb8476bc1c3b328c60971088aabc0b27b23000c4383435a916192432a7
""")
//=--------------------------------------=
self.check(Self.bot, radix: 13, ascii: """
00000000000000000000000000000000000000000000000000000000000268a5\
1c5770b549c51487a17526804a0a14c0c44bbc981573456a275580297a4a7834
""")
self.check(Self.mid, radix: 13, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-91101\
4ba77bc6357766158702bc88684cb40a4bba5759b75a9532032404134607182a
""")
self.check(Self.top, radix: 13, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-9\
11014ba77bc6357766158702bc88684cb40a4bba5759b75a9532032404134608
""")
}
func test14() {
//=--------------------------------------=
self.check(Self.min, radix: 14, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-d1b\
13301a0a468bb950ba315d952c2991c8906a6bd09c2386b46d9a01779c862a08
""")
self.check(Self.max, radix: 14, ascii: """
0000000000000000000000000000000000000000000000000000000000000d1b\
13301a0a468bb950ba315d952c2991c8906a6bd09c2386b46d9a01779c862a07
""")
//=--------------------------------------=
self.check(Self.bot, radix: 14, ascii: """
0000000000000000000000000000000000000000000000000000000000000329\
76a45325cd6dda6ac91cb8c9bccbbc61488833c2225a774c2da97ab4d4565d3a
""")
self.check(Self.mid, radix: 14, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-b76\
508612b8c5c9a15602619578c61216b7da77910b9b8824731555348d8b7b25d6
""")
self.check(Self.top, radix: 14, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-\
117242a30c09a877377d4693309aa84000a27a1a214592a95b200302b2425516
""")
}
func test15() {
//=--------------------------------------=
self.check(Self.min, radix: 15, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-21\
18413c0c8bb112454012e8ca6e4d1401a8849b2c7369de14c19474c87008bc98
""")
self.check(Self.max, radix: 15, ascii: """
0000000000000000000000000000000000000000000000000000000000000021\
18413c0c8bb112454012e8ca6e4d1401a8849b2c7369de14c19474c87008bc97
""")
//=--------------------------------------=
self.check(Self.bot, radix: 15, ascii: """
0000000000000000000000000000000000000000000000000000000000000007\
864d3605e05bd91d94b651ccc4e3078d6edc902745e03953a310b0de5c602701
""")
self.check(Self.mid, radix: 15, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>-1c\
4cab550580032b2319a336394d385320bea105cc1b8973a463ce7e92d1454361
""")
self.check(Self.top, radix: 15, ascii: """
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>\
>-3366e6c6e11bc948e6cb9a82b885cb9c255476872e5382d785c5732ed82382
""")
}
func test16() {
//=--------------------------------------=
self.check(Self.min, radix: 16, ascii: "-" + """
8000000000000000000000000000000000000000000000000000000000000000
""")
self.check(Self.max, radix: 16, ascii: """
7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
""")
//=--------------------------------------=
self.check(Self.bot, radix: 16, ascii: """
1f1e1d1c1b1a191817161514131211100f0e0d0c0b0a09080706050403020100
""")
self.check(Self.mid, radix: 16, ascii: "-" + """
707172737475767778797a7b7c7d7e7f808182838485868788898a8b8c8d8e90
""")
self.check(Self.top, radix: 16, ascii: """
>>-102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e20
""")
}
func test17() {
//=--------------------------------------=
self.check(Self.min, radix: 17, ascii: """
-2gc6g6b135g0ed5a61efdd159eed39eg3e8d262d6cb24g2035c2a0253329ba9
""")
self.check(Self.max, radix: 17, ascii: """
02gc6g6b135g0ed5a61efdd159eed39eg3e8d262d6cb24g2035c2a0253329ba8
""")
//=--------------------------------------=
self.check(Self.bot, radix: 17, ascii: """
00c5b2gcge3c140g4d527274dgd5cg7g58babg3e21bg76739a559151527ce653
""")
self.check(Self.mid, radix: 17, ascii: """
-2a9a1c74g92b4a102f08fb9fee0155fb0656e73b6b3e8fc85f3be102931f611
""")
self.check(Self.top, radix: 17, ascii: """
>>>>-7b576a250b716e7a64509ba6300c1c3g65ff191ee678f75a96dge7b8c34
""")
}
func test18() {
//=--------------------------------------=
self.check(Self.min, radix: 18, ascii: """
>-19h012hg449c2a7f12g76c6h0bde8ed528e165fde1h34e333g8gd1h4f67568
""")
self.check(Self.max, radix: 18, ascii: """
0019h012hg449c2a7f12g76c6h0bde8ed528e165fde1h34e333g8gd1h4f67567
""")
//=--------------------------------------=
self.check(Self.bot, radix: 18, ascii: """
0006e51f0da7284a3bb14747c33cgb1hfa3120c549aec7hh58g39hg075a02c3a
""")
self.check(Self.mid, radix: 18, ascii: """
>-169fbdaa50a2ef396d98cfh3eh0136f68624696gfbhg64accdc2g9c9hbg59a
""")
self.check(Self.top, radix: 18, ascii: """
>>>>>-5041bh37b1d04489geece572921cede6cc4fdgdg2g29ffg84fffeb2c9e
""")
}
func test19() {
//=--------------------------------------=
self.check(Self.min, radix: 19, ascii: """
>>-11d97i5f672g95641c78i83e1fcf66g33b4i7h85h677g76g07hd15a8g26d8
""")
self.check(Self.max, radix: 19, ascii: """
00011d97i5f672g95641c78i83e1fcf66g33b4i7h85h677g76g07hd15a8g26d7
""")
//=--------------------------------------=
self.check(Self.bot, radix: 19, ascii: """
000050cae6cb5210060eg1g2iicc8e689a04g25829g2f5bc8c84ea4a8a1348f4
""")
self.check(Self.mid, radix: 19, ascii: """
>>>-i3ce52ba3b17ac64i5acchf1846b0070h0036e71gff96ch1f87ddf04hg1b
""")
self.check(Self.top, radix: 19, ascii: """
>>>>>>-4704igi8fai528h0a98ebcg7heg7i8b6i02i9h37h75a7aacg602ig8aa
""")
}
func test20() {
//=--------------------------------------=
self.check(Self.min, radix: 20, ascii: """
>>>-101edg1f82haf2231jf17dd9757d7759e6461e1ai9f61c29c42eb16a29i8
""")
self.check(Self.max, radix: 20, ascii: """
0000101edg1f82haf2231jf17dd9757d7759e6461e1ai9f61c29c42eb16a29i7
""")
//=--------------------------------------=
self.check(Self.bot, radix: 20, ascii: """
000004hd5e33e5189jajhc248c2a513ae74fba267d1b3d1743i8ebgb30i9318g
""")
self.check(Self.mid, radix: 20, ascii: """
>>>>-hci388dci7g57i4ibdg6f2ccg7g3ie98fbjj8d8bjdf5i7cfhd9cg6b600g
""")
self.check(Self.top, radix: 20, ascii: """
>>>>>>>-4ih03g1jab33afje6f0gg33g7a2f08he3256aci5cg8f1ii16aiba1dc
""")
}
func test21() {
//=--------------------------------------=
self.check(Self.min, radix: 21, ascii: """
>>>>-13ihd4c9e83gc6860126970hb112g64gch3dheg5098a58ijg8ef0dbe608
""")
self.check(Self.max, radix: 21, ascii: """
0000013ihd4c9e83gc6860126970hb112g64gch3dheg5098a58ijg8ef0dbe607
""")
//=--------------------------------------=
self.check(Self.bot, radix: 21, ascii: """
0000006124cec92463a07f87dgg069g06715hcg4j03fha2f1gafce80g895g09a
""")
self.check(Self.mid, radix: 21, ascii: """
>>>>-10i63k48bf611afcacdb80g5g8165469ac3bhb55b0j2k61cekc3ha2f4kd
""")
self.check(Self.top, radix: 21, ascii: """
>>>>>>>>-71ja3g8h2iekfa92e3a3k90d5i93864ekheia6f8451jbagf028hj7k
""")
}
func test22() {
//=--------------------------------------=
self.check(Self.min, radix: 22, ascii: """
>>>>>-1gdl59h8c73453609lacbklajh37ika1g3d9d0idb44klhcfl46043i2la
""")
self.check(Self.max, radix: 22, ascii: """
0000001gdl59h8c73453609lacbklajh37ika1g3d9d0idb44klhcfl46043i2l9
""")
//=--------------------------------------=
self.check(Self.bot, radix: 22, ascii: """
000000098djlg8ll6ge66j798kd129gf43e7c6586a31h5a25adg2l78kj3a82b6
""")
self.check(Self.mid, radix: 22, ascii: """
>>>>>-1bkech251kj3fg1gl9iha26k19e9e6gfbla59jj3ac735dgg553c48id96
""")
self.check(Self.top, radix: 22, ascii: """
>>>>>>>>>-ce8214gfd9k8883897h62047523bj001ihi78i9j38aljafl3k918k
""")
}
func test23() {
//=--------------------------------------=
self.check(Self.min, radix: 23, ascii: """
>>>>>>-34gficbkmeka2ea4j60a251e8l19c7gli94244m2mjcl1662120f6kb04
""")
self.check(Self.max, radix: 23, ascii: """
000000034gficbkmeka2ea4j60a251e8l19c7gli94244m2mjcl1662120f6kb03
""")
//=--------------------------------------=
self.check(Self.bot, radix: 23, ascii: """
00000000hl580j6lii99g9c5137ji22ab5i41mba3lh6091cakd4h6llil689h12
""")
self.check(Self.mid, radix: 23, ascii: """
>>>>>>-2ihdgik70dll534ke8lfgi8297ji31gmf3cg0i1debfcj96ijic2he2m5
""")
self.check(Self.top, radix: 23, ascii: """
>>>>>>>>>-14dd20gl8eglki6mj2lf1b7jc8cmd3fflm3dmii2ji089d5l46k0m4
""")
}
func test24() {
//=--------------------------------------=
self.check(Self.min, radix: 24, ascii: """
>>>>>>>-727amejiin3hlefi2j96n09k66nea60i5g7082i4g285c5k7i5f8ngl8
""")
self.check(Self.max, radix: 24, ascii: """
00000000727amejiin3hlefi2j96n09k66nea60i5g7082i4g285c5k7i5f8ngl7
""")
//=--------------------------------------=
self.check(Self.bot, radix: 24, ascii: """
000000001h9gbi9kc8ig99kj5lil4in9d6e81la5d0h872fff899ebj57j88732g
""")
self.check(Self.mid, radix: 24, ascii: """
>>>>>>>-65eg4me542c5mf7ikg5hmh5nlf8b2helgbj9n40a519819h7canbfn8g
""")
self.check(Self.top, radix: 24, ascii: """
>>>>>>>>>>-309mh6fbgbb4khfbj44fgjn81akecafi3d542h6begjd4k60dfg18
""")
}
func test25() {
//=--------------------------------------=
self.check(Self.min, radix: 25, ascii: """
>>>>>>>>-ijhhke6ocei956o50b39ie2f3ed88jm3i8616ic51b653123625nbni
""")
self.check(Self.max, radix: 25, ascii: """
000000000ijhhke6ocei956o50b39ie2f3ed88jm3i8616ic51b653123625nbnh
""")
//=--------------------------------------=
self.check(Self.bot, radix: 25, ascii: """
0000000004e4i6362kk6ad7abh2b4j0log0gbjn96nl1d8j88mh9m36enbbmf381
""")
self.check(Self.mid, radix: 25, ascii: """
>>>>>>>>-gcfd598c01lalnam6n6n33noa15ib7dom060mmeb4aclbaeooe5kckg
""")
self.check(Self.top, radix: 25, ascii: """
>>>>>>>>>>>-90i92kjcdlf8l51i6d5ei3o16onho651cg2cl3fn4k0fgnam951m
""")
}
func test26() {
//=--------------------------------------=