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NBKFlexibleWidth+Numbers.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 NBKFlexibleWidthKit
import XCTest
private typealias X = [UInt]
private typealias X64 = [UInt64]
private typealias X32 = [UInt32]
//*============================================================================*
// MARK: * NBK x Flexible Width x Numbers x UIntXL
//*============================================================================*
final class NBKFlexibleWidthTestsOnNumbersAsUIntXL: XCTestCase {
typealias S = IntXL
typealias T = UIntXL
typealias M = UIntXL
//=------------------------------------------------------------------------=
// MARK: Tests
//=------------------------------------------------------------------------=
func testZero() {
XCTAssertEqual(T( 0), T(words:[0]))
XCTAssertEqual(T.zero, T(words:[0]))
for x in T.basket {
XCTAssertEqual(x + T.zero, x)
XCTAssertEqual(T.zero + x, x)
XCTAssertEqual(x - x, T.zero)
XCTAssertEqual(x - T.zero, x)
}
}
func testOne() {
XCTAssertEqual(T( 1), T(words:[1]))
XCTAssertEqual(T.one, T(words:[1]))
for x in T.basket {
XCTAssertEqual(x * T.one, x)
XCTAssertEqual(T.one * x, x)
XCTAssertEqual(x / T.one, x)
XCTAssertEqual(x % T.one, T.zero)
if !x.isZero {
XCTAssertEqual(x / x, T.one )
XCTAssertEqual(x % x, T.zero)
}
}
}
//=------------------------------------------------------------------------=
// MARK: Tests x Int
//=------------------------------------------------------------------------=
func testToInt() {
NBKAssertNumbers(from: T(words:[ 1, 0, 0, 0] as X), default: Int( 1))
NBKAssertNumbers(from: T(words:[~0, 0, 0, 0] as X), exactly: nil, clamping: Int.max, truncating: -1)
NBKAssertNumbers(from: T(words:[ 1, 1, 1, 1] as X), exactly: nil, clamping: Int.max, truncating: 1)
NBKAssertNumbers(from: T(words:[~0, ~0, ~0, ~0] as X), exactly: nil, clamping: Int.max, truncating: -1)
}
func testFromInt() {
NBKAssertNumbers(from: Int.min, exactly: nil, clamping: 0, truncating: T(words: Int.min.words))
NBKAssertNumbers(from: Int.max, default: /*-------------------------*/ T(words: Int.max.words))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Int32
//=------------------------------------------------------------------------=
func testToInt32() {
NBKAssertNumbers(from: T(x32:[ 1, 0, 0, 0] as X32), default: Int32( 1))
NBKAssertNumbers(from: T(x32:[~0, 0, 0, 0] as X32), exactly: nil, clamping: Int32.max, truncating: -1)
NBKAssertNumbers(from: T(x32:[ 1, 1, 1, 1] as X32), exactly: nil, clamping: Int32.max, truncating: 1)
NBKAssertNumbers(from: T(x32:[~0, ~0, ~0, ~0] as X32), exactly: nil, clamping: Int32.max, truncating: -1)
}
func testFromInt32() {
NBKAssertNumbers(from: Int32.min, exactly: nil, clamping: 0, truncating: T(words: Int32.min.words))
NBKAssertNumbers(from: Int32.max, default: /*-------------------------*/ T(words: Int32.max.words))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Int64
//=------------------------------------------------------------------------=
func testToInt64() {
NBKAssertNumbers(from: T(x64:[ 1, 0, 0, 0] as X64), default: Int64( 1))
NBKAssertNumbers(from: T(x64:[~0, 0, 0, 0] as X64), exactly: nil, clamping: Int64.max, truncating: -1)
NBKAssertNumbers(from: T(x64:[ 1, 1, 1, 1] as X64), exactly: nil, clamping: Int64.max, truncating: 1)
NBKAssertNumbers(from: T(x64:[~0, ~0, ~0, ~0] as X64), exactly: nil, clamping: Int64.max, truncating: -1)
}
func testFromInt64() {
NBKAssertNumbers(from: Int64.min, exactly: nil, clamping: 0, truncating: T(words: Int64.min.words))
NBKAssertNumbers(from: Int64.max, default: /*-------------------------*/ T(words: Int64.max.words))
}
//=------------------------------------------------------------------------=
// MARK: Tests x UInt
//=------------------------------------------------------------------------=
func testToUInt() {
NBKAssertNumbers(from: T(words:[ 1, 0, 0, 0] as X), default: UInt( 1))
NBKAssertNumbers(from: T(words:[~0, 0, 0, 0] as X), default: ~UInt( 0))
NBKAssertNumbers(from: T(words:[ 1, 1, 1, 1] as X), exactly: nil, clamping: UInt.max, truncating: 1)
NBKAssertNumbers(from: T(words:[~0, ~0, ~0, ~0] as X), exactly: nil, clamping: UInt.max, truncating: ~0)
}
func testFromUInt() {
NBKAssertNumbers(from: UInt.min, default: T(words: UInt.min.words))
NBKAssertNumbers(from: UInt.max, default: T(words: UInt.max.words))
}
func testFromUIntAsDigit() {
NBKAssertNumbers(from: T(digit: UInt.min), default: T(words:[ 0, 0, 0, 0] as X))
NBKAssertNumbers(from: T(digit: UInt.max), default: T(words:[~0, 0, 0, 0] as X))
}
//=------------------------------------------------------------------------=
// MARK: Tests x UInt32
//=------------------------------------------------------------------------=
func testToUInt32() {
NBKAssertNumbers(from: T(x32:[ 1, 0, 0, 0] as X32), default: UInt32( 1))
NBKAssertNumbers(from: T(x32:[~0, 0, 0, 0] as X32), default: ~UInt32( 0))
NBKAssertNumbers(from: T(x32:[ 1, 1, 1, 1] as X32), exactly: nil, clamping: UInt32.max, truncating: 1)
NBKAssertNumbers(from: T(x32:[~0, ~0, ~0, ~0] as X32), exactly: nil, clamping: UInt32.max, truncating: ~0)
}
func testFromUInt32() {
NBKAssertNumbers(from: UInt32.min, default: T(words: UInt32.min.words))
NBKAssertNumbers(from: UInt32.max, default: T(words: UInt32.max.words))
}
//=------------------------------------------------------------------------=
// MARK: Tests x UInt64
//=------------------------------------------------------------------------=
func testToUInt64() {
NBKAssertNumbers(from: T(x64:[ 1, 0, 0, 0] as X64), default: UInt64( 1))
NBKAssertNumbers(from: T(x64:[~0, 0, 0, 0] as X64), default: ~UInt64( 0))
NBKAssertNumbers(from: T(x64:[ 1, 1, 1, 1] as X64), exactly: nil, clamping: UInt64.max, truncating: 1)
NBKAssertNumbers(from: T(x64:[~0, ~0, ~0, ~0] as X64), exactly: nil, clamping: UInt64.max, truncating: ~0)
}
func testFromUInt64() {
NBKAssertNumbers(from: UInt64.min, default: T(words: UInt64.min.words))
NBKAssertNumbers(from: UInt64.max, default: T(words: UInt64.max.words))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Magnitude
//=------------------------------------------------------------------------=
func testToMagnitude() {
NBKAssertNumbers(from: T(words:[ 1, 0, 0, 0] as X), default: M(words:[ 1, 0, 0, 0] as X))
NBKAssertNumbers(from: T(words:[~0, 0, 0, 0] as X), default: M(words:[~0, 0, 0, 0] as X))
NBKAssertNumbers(from: T(words:[ 1, 1, 1, 1] as X), default: M(words:[ 1, 1, 1, 1] as X))
NBKAssertNumbers(from: T(words:[~0, ~0, ~0, ~0] as X), default: M(words:[~0, ~0, ~0, ~0] as X))
}
func testFromMagnitude() {
NBKAssertNumbers(from: M(words:[ 1, 0, 0, 0] as X), default: T(words:[ 1, 0, 0, 0] as X))
NBKAssertNumbers(from: M(words:[~0, 0, 0, 0] as X), default: T(words:[~0, 0, 0, 0] as X))
NBKAssertNumbers(from: M(words:[ 1, 1, 1, 1] as X), default: T(words:[ 1, 1, 1, 1] as X))
NBKAssertNumbers(from: M(words:[~0, ~0, ~0, ~0] as X), default: T(words:[~0, ~0, ~0, ~0] as X))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Float32
//=------------------------------------------------------------------------=
func testToFloat32() {
XCTAssertEqual(Float32(T(0)), Float32(0))
XCTAssertEqual(Float32(T(1)), Float32(1))
XCTAssertEqual(Float32(T(UInt32.min)), Float32(UInt32.min))
XCTAssertEqual(Float32(T(UInt32.max)), Float32(UInt32.max))
}
func testFromFloat32() {
XCTAssertEqual(T(Float32( 22.0)), 22)
XCTAssertEqual(T(Float32( 22.5)), 22)
XCTAssertEqual(T(exactly: 22.5), nil)
XCTAssertEqual(T(exactly: -22.5), nil)
XCTAssertEqual(T(exactly: pow(2, Float32(64 * 0 - 1))), nil)
XCTAssertEqual(T(exactly: pow(2, Float32(64 * 0 - 0))), T(x64:[1, 0, 0, 0] as X64))
XCTAssertEqual(T(exactly: pow(2, Float32(64 * 1 - 1))), T(x64:[1 << 63, 0, 0, 0] as X64))
XCTAssertEqual(T(exactly: pow(2, Float32(64 * 2 - 1))), T(x64:[0, 1 << 63, 0, 0] as X64))
XCTAssertEqual(T(exactly: pow(2, Float32(64 * 2 - 0))), nil)
}
func testFromFloat32ValuesThatAreSpecial() {
XCTAssertNil(T(exactly: Float32.nan))
XCTAssertNil(T(exactly: Float32.infinity))
XCTAssertNil(T(exactly: Float32.signalingNaN))
XCTAssertNil(T(exactly: Float32.leastNormalMagnitude))
XCTAssertNil(T(exactly: Float32.leastNonzeroMagnitude))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Float64
//=------------------------------------------------------------------------=
func testToFloat64() {
XCTAssertEqual(Float64(T(0)), Float64(0))
XCTAssertEqual(Float64(T(1)), Float64(1))
XCTAssertEqual(Float64(T(UInt64.min)), Float64(UInt64.min))
XCTAssertEqual(Float64(T(UInt64.max)), Float64(UInt64.max))
}
func testFromFloat64() {
XCTAssertEqual(T(Float64( 22.0)), 22)
XCTAssertEqual(T(Float64( 22.5)), 22)
XCTAssertEqual(T(exactly: 22.5), nil)
XCTAssertEqual(T(exactly: -22.5), nil)
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 0 - 1))), nil)
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 0 - 0))), T(x64:[1, 0, 0, 0] as X64))
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 1 - 1))), T(x64:[1 << 63, 0, 0, 0] as X64))
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 2 - 1))), T(x64:[0, 1 << 63, 0, 0] as X64))
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 3 - 1))), T(x64:[0, 0, 1 << 63, 0] as X64))
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 4 - 1))), T(x64:[0, 0, 0, 1 << 63] as X64))
}
func testFromFloat64ValuesThatAreSpecial() {
XCTAssertNil(T(exactly: Float64.nan))
XCTAssertNil(T(exactly: Float64.infinity))
XCTAssertNil(T(exactly: Float64.signalingNaN))
XCTAssertNil(T(exactly: Float64.leastNormalMagnitude))
XCTAssertNil(T(exactly: Float64.leastNonzeroMagnitude))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Sign & Magnitude
//=------------------------------------------------------------------------=
func testsFromSignAndMagnitude() {
XCTAssertEqual(T(sign: .plus, magnitude: M( 1)), T( 1))
XCTAssertEqual(T(sign: .minus, magnitude: M( 1)), nil)
}
func testsFromSignAndMagnitudeAsPlusMinusZero() {
XCTAssertEqual(T(sign: .plus, magnitude: M( )), T( ))
XCTAssertEqual(T(sign: .minus, magnitude: M( )), T( ))
}
}
//*============================================================================*
// MARK: * NBK x Flexible Width x Numbers x Open Source Issues
//*============================================================================*
final class NBKFlexibleWidthTestsOnNumbersOpenSourceIssues: XCTestCase {
//=------------------------------------------------------------------------=
// MARK: Tests
//=------------------------------------------------------------------------=
/// https://github.com/apple/swift-numerics/pull/254
///
/// - Note: Said to crash and return incorrect values.
///
func testSwiftNumericsPull254() {
XCTAssertEqual(UInt64( UIntXL(UInt64.max)), UInt64(UInt64.max))
XCTAssertEqual(UIntXL( UInt64(UInt64.max)), UIntXL(UInt64.max))
XCTAssertEqual(UInt64(exactly: UIntXL(UInt64.max)), UInt64(UInt64.max))
XCTAssertEqual(UIntXL(exactly: UInt64(UInt64.max)), UIntXL(UInt64.max))
XCTAssertEqual(UInt64(clamping: UIntXL(UInt64.max)), UInt64(UInt64.max))
XCTAssertEqual(UIntXL(clamping: UInt64(UInt64.max)), UIntXL(UInt64.max))
}
/// https://github.com/apple/swift-numerics/pull/258
///
/// - Note: Said to crash when using Float80 (can't test it).
///
func testSwiftNumericsPull258() {
XCTAssertEqual(
Float32(exactly: UInt64(UInt64(1) << Float32.significandBitCount)),
Float32(exactly: UIntXL(UInt64(1) << Float32.significandBitCount)))
XCTAssertEqual(
Float64(exactly: UInt64(UInt64(1) << Float64.significandBitCount)),
Float64(exactly: UIntXL(UInt64(1) << Float64.significandBitCount)))
}
}
//*============================================================================*
// MARK: * NBK x Flexible Width x Numbers x Assertions
//*============================================================================*
private func NBKAssertNumbers<I: NBKBinaryInteger, O: NBKBinaryInteger>(
from value: I, default: O,
file: StaticString = #file, line: UInt = #line) {
NBKAssertNumbers(from: value, exactly: `default`, clamping: `default`, truncating: `default`, file: file, line: line)
}
private func NBKAssertNumbers<I: NBKBinaryInteger, O: NBKBinaryInteger>(
from value: I, default: O, exactly: O?,
file: StaticString = #file, line: UInt = #line) {
NBKAssertNumbers(from: value, exactly: exactly, clamping: `default`, truncating: `default`, file: file, line: line)
}
private func NBKAssertNumbers<I: NBKBinaryInteger, O: NBKBinaryInteger>(
from value: I, default: O, clamping: O,
file: StaticString = #file, line: UInt = #line) {
NBKAssertNumbers(from: value, exactly: `default`, clamping: clamping, truncating: `default`, file: file, line: line)
}
private func NBKAssertNumbers<I: NBKBinaryInteger, O: NBKBinaryInteger>(
from value: I, default: O, truncating: O,
file: StaticString = #file, line: UInt = #line) {
NBKAssertNumbers(from: value, exactly: `default`, clamping: `default`, truncating: truncating, file: file, line: line)
}
private func NBKAssertNumbers<I: NBKBinaryInteger, O: NBKBinaryInteger>(
from value: I, exactly: O?, clamping: O, truncating: O,
file: StaticString = #file, line: UInt = #line) {
//=--------------------------------------=
if let exactly = exactly {
XCTAssertEqual(O(value), exactly, file: file, line: line)
}
//=--------------------------------------=
XCTAssertEqual(O(exactly: value), exactly, file: file, line: line)
XCTAssertEqual(O(clamping: value), clamping, file: file, line: line)
XCTAssertEqual(O(truncatingIfNeeded: value), truncating, file: file, line: line)
}