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NBKDoubleWidth+Words.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 Words x Int256
//*============================================================================*
final class NBKDoubleWidthTestsOnWordsAsInt256: XCTestCase {
typealias T = Int256
//=------------------------------------------------------------------------=
// MARK: Tests
//=------------------------------------------------------------------------=
func testFromWords() {
NBKAssertFromWordsIsSigned(Array( ), true, T( ))
NBKAssertFromWordsIsSigned(Array(T( ).words), true, T( ))
NBKAssertFromWordsIsSigned(Array(T.min.words), true, T.min)
NBKAssertFromWordsIsSigned(Array(T.max.words), true, T.max)
NBKAssertFromWordsIsSigned(Array( ), false, T( ))
NBKAssertFromWordsIsSigned(Array(T( ).words), false, T( ))
NBKAssertFromWordsIsSigned(Array(T.min.words), false, nil as T?)
NBKAssertFromWordsIsSigned(Array(T.max.words), false, T.max)
NBKAssertFromWordsIsSigned([UInt](repeating: 0, count: T.bitWidth / UInt.bitWidth + 2), true, 00 as T?)
NBKAssertFromWordsIsSigned([UInt](repeating: 1, count: T.bitWidth / UInt.bitWidth + 2), true, nil as T?)
NBKAssertFromWordsIsSigned([UInt](repeating: ~0, count: T.bitWidth / UInt.bitWidth + 2), true, -01 as T?)
NBKAssertFromWordsIsSigned([UInt](repeating: ~1, count: T.bitWidth / UInt.bitWidth + 2), true, nil as T?)
NBKAssertFromWordsIsSigned([UInt](repeating: 0, count: T.bitWidth / UInt.bitWidth + 2), false, 00 as T?)
NBKAssertFromWordsIsSigned([UInt](repeating: 1, count: T.bitWidth / UInt.bitWidth + 2), false, nil as T?)
NBKAssertFromWordsIsSigned([UInt](repeating: ~0, count: T.bitWidth / UInt.bitWidth + 2), false, nil as T?)
NBKAssertFromWordsIsSigned([UInt](repeating: ~1, count: T.bitWidth / UInt.bitWidth + 2), false, nil as T?)
}
func testFromWordsX64() throws {
guard MemoryLayout<UInt>.size == MemoryLayout<UInt64>.size else { throw XCTSkip() }
NBKAssertFromWords([ ] as [UInt], T(x64: X64(0, 0, 0, 0)))
NBKAssertFromWords([1 ] as [UInt], T(x64: X64(1, 0, 0, 0)))
NBKAssertFromWords([1, 2 ] as [UInt], T(x64: X64(1, 2, 0, 0)))
NBKAssertFromWords([1, 2, 3 ] as [UInt], T(x64: X64(1, 2, 3, 0)))
NBKAssertFromWords([1, 2, 3, 4 ] as [UInt], T(x64: X64(1, 2, 3, 4)))
NBKAssertFromWords([1, 2, 3, 4, 5] as [UInt], nil as T?)
}
func testFromWordsX32() throws {
guard MemoryLayout<UInt>.size == MemoryLayout<UInt32>.size else { throw XCTSkip() }
NBKAssertFromWords([ ] as [UInt], T(x32: X32(0, 0, 0, 0, 0, 0, 0, 0)))
NBKAssertFromWords([1 ] as [UInt], T(x32: X32(1, 0, 0, 0, 0, 0, 0, 0)))
NBKAssertFromWords([1, 2 ] as [UInt], T(x32: X32(1, 2, 0, 0, 0, 0, 0, 0)))
NBKAssertFromWords([1, 2, 3 ] as [UInt], T(x32: X32(1, 2, 3, 0, 0, 0, 0, 0)))
NBKAssertFromWords([1, 2, 3, 4 ] as [UInt], T(x32: X32(1, 2, 3, 4, 0, 0, 0, 0)))
NBKAssertFromWords([1, 2, 3, 4, 5 ] as [UInt], T(x32: X32(1, 2, 3, 4, 5, 0, 0, 0)))
NBKAssertFromWords([1, 2, 3, 4, 5, 6 ] as [UInt], T(x32: X32(1, 2, 3, 4, 5, 6, 0, 0)))
NBKAssertFromWords([1, 2, 3, 4, 5, 6, 7 ] as [UInt], T(x32: X32(1, 2, 3, 4, 5, 6, 7, 0)))
NBKAssertFromWords([1, 2, 3, 4, 5, 6, 7, 8 ] as [UInt], T(x32: X32(1, 2, 3, 4, 5, 6, 7, 8)))
NBKAssertFromWords([1, 2, 3, 4, 5, 6, 7, 8, 9] as [UInt], nil as T?)
}
func testToWordsX64() throws {
guard MemoryLayout<UInt>.size == MemoryLayout<UInt64>.size else { throw XCTSkip() }
NBKAssertToWords(T(x64: X64(0, 0, 0, 0)), [0, 0, 0, 0])
NBKAssertToWords(T(x64: X64(1, 0, 0, 0)), [1, 0, 0, 0])
NBKAssertToWords(T(x64: X64(1, 2, 0, 0)), [1, 2, 0, 0])
NBKAssertToWords(T(x64: X64(1, 2, 3, 0)), [1, 2, 3, 0])
NBKAssertToWords(T(x64: X64(1, 2, 3, 4)), [1, 2, 3, 4])
}
func testToWordsX32() throws {
guard MemoryLayout<UInt>.size == MemoryLayout<UInt32>.size else { throw XCTSkip() }
NBKAssertToWords(T(x32: X32(0, 0, 0, 0, 0, 0, 0, 0)), [0, 0, 0, 0, 0, 0, 0, 0])
NBKAssertToWords(T(x32: X32(1, 0, 0, 0, 0, 0, 0, 0)), [1, 0, 0, 0, 0, 0, 0, 0])
NBKAssertToWords(T(x32: X32(1, 2, 0, 0, 0, 0, 0, 0)), [1, 2, 0, 0, 0, 0, 0, 0])
NBKAssertToWords(T(x32: X32(1, 2, 3, 0, 0, 0, 0, 0)), [1, 2, 3, 0, 0, 0, 0, 0])
NBKAssertToWords(T(x32: X32(1, 2, 3, 4, 0, 0, 0, 0)), [1, 2, 3, 4, 0, 0, 0, 0])
NBKAssertToWords(T(x32: X32(1, 2, 3, 4, 5, 0, 0, 0)), [1, 2, 3, 4, 5, 0, 0, 0])
NBKAssertToWords(T(x32: X32(1, 2, 3, 4, 5, 6, 0, 0)), [1, 2, 3, 4, 5, 6, 0, 0])
NBKAssertToWords(T(x32: X32(1, 2, 3, 4, 5, 6, 7, 0)), [1, 2, 3, 4, 5, 6, 7, 0])
NBKAssertToWords(T(x32: X32(1, 2, 3, 4, 5, 6, 7, 8)), [1, 2, 3, 4, 5, 6, 7, 8])
}
//=------------------------------------------------------------------------=
// MARK: Tests x First, Last, Tail
//=------------------------------------------------------------------------=
func testFirstLastTailX64() throws {
guard MemoryLayout<UInt>.size == MemoryLayout<UInt64>.size else { throw XCTSkip() }
NBKAssertFirstLastTail( T(x64: X64(1, 2, 3, 4)), first: 1, last: 4, tail: 4)
NBKAssertFirstLastTail(~T(x64: X64(1, 2, 3, 4)), first: ~1, last: ~4, tail: ~4)
}
func testFirstLastTailX32() throws {
guard MemoryLayout<UInt>.size == MemoryLayout<UInt32>.size else { throw XCTSkip() }
NBKAssertFirstLastTail( T(x32: X32(1, 2, 3, 4, 5, 6, 7, 8)), first: 1, last: 8, tail: 8)
NBKAssertFirstLastTail(~T(x32: X32(1, 2, 3, 4, 5, 6, 7, 8)), first: ~1, last: ~8, tail: ~8)
}
}
//*============================================================================*
// MARK: * NBK x Double Width x Words x UInt256
//*============================================================================*
final class NBKDoubleWidthTestsOnWordsAsUInt256: XCTestCase {
typealias T = UInt256
//=------------------------------------------------------------------------=
// MARK: Tests
//=------------------------------------------------------------------------=
func testFromWords() {
NBKAssertFromWordsIsSigned(Array( ), true, T( ))
NBKAssertFromWordsIsSigned(Array(T( ).words), true, T( ))
NBKAssertFromWordsIsSigned(Array(T.min.words), true, T.min)
NBKAssertFromWordsIsSigned(Array(T.max.words), true, T.bitWidth % UInt.bitWidth == 0 ? nil : T.max)
NBKAssertFromWordsIsSigned(Array( ), false, T( ))
NBKAssertFromWordsIsSigned(Array(T( ).words), false, T( ))
NBKAssertFromWordsIsSigned(Array(T.min.words), false, T.min)
NBKAssertFromWordsIsSigned(Array(T.max.words), false, T.max)
NBKAssertFromWordsIsSigned([UInt](repeating: 0, count: T.bitWidth / UInt.bitWidth + 2), true, 000 as T?)
NBKAssertFromWordsIsSigned([UInt](repeating: 1, count: T.bitWidth / UInt.bitWidth + 2), true, nil as T?)
NBKAssertFromWordsIsSigned([UInt](repeating: ~0, count: T.bitWidth / UInt.bitWidth + 2), true, nil as T?)
NBKAssertFromWordsIsSigned([UInt](repeating: ~1, count: T.bitWidth / UInt.bitWidth + 2), true, nil as T?)
NBKAssertFromWordsIsSigned([UInt](repeating: 0, count: T.bitWidth / UInt.bitWidth + 2), false, 000 as T?)
NBKAssertFromWordsIsSigned([UInt](repeating: 1, count: T.bitWidth / UInt.bitWidth + 2), false, nil as T?)
NBKAssertFromWordsIsSigned([UInt](repeating: ~0, count: T.bitWidth / UInt.bitWidth + 2), false, nil as T?)
NBKAssertFromWordsIsSigned([UInt](repeating: ~1, count: T.bitWidth / UInt.bitWidth + 2), false, nil as T?)
}
func testFromWordsX64() throws {
guard MemoryLayout<UInt>.size == MemoryLayout<UInt64>.size else { throw XCTSkip() }
NBKAssertFromWords([ ] as [UInt], T(x64: X64(0, 0, 0, 0)))
NBKAssertFromWords([1 ] as [UInt], T(x64: X64(1, 0, 0, 0)))
NBKAssertFromWords([1, 2 ] as [UInt], T(x64: X64(1, 2, 0, 0)))
NBKAssertFromWords([1, 2, 3 ] as [UInt], T(x64: X64(1, 2, 3, 0)))
NBKAssertFromWords([1, 2, 3, 4 ] as [UInt], T(x64: X64(1, 2, 3, 4)))
NBKAssertFromWords([1, 2, 3, 4, 5] as [UInt], nil as T?)
}
func testFromWordsX32() throws {
guard MemoryLayout<UInt>.size == MemoryLayout<UInt32>.size else { throw XCTSkip() }
NBKAssertFromWords([ ] as [UInt], T(x32: X32(0, 0, 0, 0, 0, 0, 0, 0)))
NBKAssertFromWords([1 ] as [UInt], T(x32: X32(1, 0, 0, 0, 0, 0, 0, 0)))
NBKAssertFromWords([1, 2 ] as [UInt], T(x32: X32(1, 2, 0, 0, 0, 0, 0, 0)))
NBKAssertFromWords([1, 2, 3 ] as [UInt], T(x32: X32(1, 2, 3, 0, 0, 0, 0, 0)))
NBKAssertFromWords([1, 2, 3, 4 ] as [UInt], T(x32: X32(1, 2, 3, 4, 0, 0, 0, 0)))
NBKAssertFromWords([1, 2, 3, 4, 5 ] as [UInt], T(x32: X32(1, 2, 3, 4, 5, 0, 0, 0)))
NBKAssertFromWords([1, 2, 3, 4, 5, 6 ] as [UInt], T(x32: X32(1, 2, 3, 4, 5, 6, 0, 0)))
NBKAssertFromWords([1, 2, 3, 4, 5, 6, 7 ] as [UInt], T(x32: X32(1, 2, 3, 4, 5, 6, 7, 0)))
NBKAssertFromWords([1, 2, 3, 4, 5, 6, 7, 8 ] as [UInt], T(x32: X32(1, 2, 3, 4, 5, 6, 7, 8)))
NBKAssertFromWords([1, 2, 3, 4, 5, 6, 7, 8, 9] as [UInt], nil as T?)
}
func testWordsX64() throws {
guard MemoryLayout<UInt>.size == MemoryLayout<UInt64>.size else { throw XCTSkip() }
NBKAssertToWords(T(x64: X64(0, 0, 0, 0)), [0, 0, 0, 0])
NBKAssertToWords(T(x64: X64(1, 0, 0, 0)), [1, 0, 0, 0])
NBKAssertToWords(T(x64: X64(1, 2, 0, 0)), [1, 2, 0, 0])
NBKAssertToWords(T(x64: X64(1, 2, 3, 0)), [1, 2, 3, 0])
NBKAssertToWords(T(x64: X64(1, 2, 3, 4)), [1, 2, 3, 4])
}
func testWordsX32() throws {
guard MemoryLayout<UInt>.size == MemoryLayout<UInt32>.size else { throw XCTSkip() }
NBKAssertToWords(T(x32: X32(0, 0, 0, 0, 0, 0, 0, 0)), [0, 0, 0, 0, 0, 0, 0, 0])
NBKAssertToWords(T(x32: X32(1, 0, 0, 0, 0, 0, 0, 0)), [1, 0, 0, 0, 0, 0, 0, 0])
NBKAssertToWords(T(x32: X32(1, 2, 0, 0, 0, 0, 0, 0)), [1, 2, 0, 0, 0, 0, 0, 0])
NBKAssertToWords(T(x32: X32(1, 2, 3, 0, 0, 0, 0, 0)), [1, 2, 3, 0, 0, 0, 0, 0])
NBKAssertToWords(T(x32: X32(1, 2, 3, 4, 0, 0, 0, 0)), [1, 2, 3, 4, 0, 0, 0, 0])
NBKAssertToWords(T(x32: X32(1, 2, 3, 4, 5, 0, 0, 0)), [1, 2, 3, 4, 5, 0, 0, 0])
NBKAssertToWords(T(x32: X32(1, 2, 3, 4, 5, 6, 0, 0)), [1, 2, 3, 4, 5, 6, 0, 0])
NBKAssertToWords(T(x32: X32(1, 2, 3, 4, 5, 6, 7, 0)), [1, 2, 3, 4, 5, 6, 7, 0])
NBKAssertToWords(T(x32: X32(1, 2, 3, 4, 5, 6, 7, 8)), [1, 2, 3, 4, 5, 6, 7, 8])
}
//=------------------------------------------------------------------------=
// MARK: Tests x First, Last, Tail
//=------------------------------------------------------------------------=
func testFirstLastTailX64() throws {
guard MemoryLayout<UInt>.size == MemoryLayout<UInt64>.size else { throw XCTSkip() }
NBKAssertFirstLastTail( T(x64: X64(1, 2, 3, 4)), first: 1, last: 4, tail: 4)
NBKAssertFirstLastTail(~T(x64: X64(1, 2, 3, 4)), first: ~1, last: ~4, tail: ~4)
}
func testFirstLastTailX32() throws {
guard MemoryLayout<UInt>.size == MemoryLayout<UInt32>.size else { throw XCTSkip() }
NBKAssertFirstLastTail( T(x32: X32(1, 2, 3, 4, 5, 6, 7, 8)), first: 1, last: 8, tail: 8)
NBKAssertFirstLastTail(~T(x32: X32(1, 2, 3, 4, 5, 6, 7, 8)), first: ~1, last: ~8, tail: ~8)
}
}
//*============================================================================*
// MARK: * NBK x Double Width x Words x Assertions
//*============================================================================*
private func NBKAssertFromWords<H: NBKFixedWidthInteger>(
_ words: [UInt], _ integer: NBKDoubleWidth<H>?,
file: StaticString = #file, line: UInt = #line) {
//=------------------------------------------=
typealias T = NBKDoubleWidth<H>
//=------------------------------------------=
XCTAssertEqual( T(words: words), integer, file: file, line: line)
XCTAssertEqual(integer.flatMap({ T(words: $0.words) }), integer, file: file, line: line)
}
private func NBKAssertFromWordsIsSigned<H: NBKFixedWidthInteger>(
_ words: [UInt], _ isSigned: Bool, _ integer: NBKDoubleWidth<H>?,
file: StaticString = #file, line: UInt = #line) {
//=------------------------------------------=
typealias T = NBKDoubleWidth<H>
//=------------------------------------------=
if isSigned == T.isSigned {
NBKAssertFromWords(words, integer, file: file, line: line)
}
XCTAssertEqual( T(words: words, isSigned: isSigned), integer, file: file, line: line)
XCTAssertEqual(integer.flatMap({ T(words: $0.words, isSigned: isSigned) }), integer, file: file, line: line)
}
private func NBKAssertToWords<H: NBKFixedWidthInteger>(
_ integer: NBKDoubleWidth<H>, _ words: [UInt],
file: StaticString = #file, line: UInt = #line) {
//=------------------------------------------=
typealias T = NBKDoubleWidth<H>
//=------------------------------------------=
NBKAssertFromWordsIsSigned(words, T.isSigned, integer, file: file, line: line)
//=------------------------------------------=
var integer: NBKDoubleWidth<H> = integer
var generic: some RandomAccessCollection<UInt> & MutableCollection = integer
//=------------------------------------------=
XCTAssertEqual(Array(integer), words, file: file, line: line)
XCTAssertEqual(Array(integer.words), words, file: file, line: line)
XCTAssertEqual(Array(integer.reversed()), words.reversed(), file: file, line: line)
XCTAssertEqual(Array(integer.words.reversed()), words.reversed(), file: file, line: line)
XCTAssertEqual(integer.withContiguousStorage({ Array($0) }), words, file: file, line: line)
XCTAssertEqual(integer.withContiguousMutableStorage({ Array($0) }), words, file: file, line: line)
XCTAssertEqual(integer.withContiguousStorageIfAvailable({ Array($0) }), words, file: file, line: line)
XCTAssertEqual(integer.withContiguousMutableStorageIfAvailable({ Array($0) }), words, file: file, line: line)
XCTAssertEqual(generic.withContiguousStorageIfAvailable({ Array($0) }), words, file: file, line: line)
XCTAssertEqual(generic.withContiguousMutableStorageIfAvailable({ Array($0) }), words, file: file, line: line)
}
//=----------------------------------------------------------------------------=
// MARK: + Elements x First, Last, Tail
//=----------------------------------------------------------------------------=
private func NBKAssertFirstLastTail<H: NBKFixedWidthInteger>(
_ integer: NBKDoubleWidth<H>, first: UInt, last: UInt, tail: H.Digit,
file: StaticString = #file, line: UInt = #line) {
typealias T = NBKDoubleWidth<H>
//=------------------------------------------=
XCTAssertEqual(integer.first, first, file: file, line: line)
XCTAssertEqual(integer.last, last, file: file, line: line)
XCTAssertEqual(integer.tail, tail, file: file, line: line)
//=------------------------------------------=
XCTAssertEqual({ var x = T.zero; x.first = first; return x.first }(), first, file: file, line: line)
XCTAssertEqual({ var x = T.zero; x.last = last; return x.last }(), last, file: file, line: line)
XCTAssertEqual({ var x = T.zero; x.tail = tail; return x.tail }(), tail, file: file, line: line)
}