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256+Numbers.swift
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256+Numbers.swift
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//=----------------------------------------------------------------------------=
// This source file is part of the AwesomeNumbersKit open source project.
//
// Copyright (c) 2022 Oscar Byström Ericsson
// Licensed under Apache License, Version 2.0
//
// See http://www.apache.org/licenses/LICENSE-2.0 for license information.
//=----------------------------------------------------------------------------=
#if DEBUG
import ANKCoreKit
@testable import ANKFullWidthKit
import XCTest
private typealias X = ANK.U256X64
private typealias Y = ANK.U256X32
//*============================================================================*
// MARK: * ANK x Int256 x Numbers
//*============================================================================*
final class Int256TestsOnNumbers: XCTestCase {
typealias S = Int256
typealias T = Int256
typealias M = UInt256
typealias S2 = ANKFullWidth<S, S.Magnitude>
typealias T2 = ANKFullWidth<T, T.Magnitude>
typealias M2 = ANKFullWidth<M, M.Magnitude>
//=------------------------------------------------------------------------=
// MARK: Tests
//=------------------------------------------------------------------------=
func testZero() {
ANKAssertNumbers(from: T( ), default: T(x64: X(0, 0, 0, 0)))
ANKAssertNumbers(from: T.zero, default: T(x64: X(0, 0, 0, 0)))
}
func testEdges() {
ANKAssertNumbers(from: T.min, default: T(x64: X(0, 0, 0, 1 << 63)))
ANKAssertNumbers(from: T.max, default: ~T(x64: X(0, 0, 0, 1 << 63)))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Int, Digit
//=------------------------------------------------------------------------=
func testFromInt() {
ANKAssertNumbers(from: Int.min, default: ~T(x64: X(UInt64(Int.max), 0, 0, 0)))
ANKAssertNumbers(from: Int.max, default: T(x64: X(UInt64(Int.max), 0, 0, 0)))
}
func testFromIntAsDigit() {
ANKAssertNumbers(from: T(digit: Int.min), default: ~T(x64: X(UInt64(Int.max), 0, 0, 0)))
ANKAssertNumbers(from: T(digit: Int.max), default: T(x64: X(UInt64(Int.max), 0, 0, 0)))
}
//=------------------------------------------------------------------------=
// MARK: Tests x UInt
//=------------------------------------------------------------------------=
func testFromUInt() {
ANKAssertNumbers(from: UInt.min, default: T(x64: X(UInt64(UInt.min), 0, 0, 0)))
ANKAssertNumbers(from: UInt.max, default: T(x64: X(UInt64(UInt.max), 0, 0, 0)))
}
func testFromUIntAsBits() {
ANKAssertNumbers(from: T(_truncatingBits: UInt.min), default: T(x64: X(UInt64(UInt.min), 0, 0, 0)))
ANKAssertNumbers(from: T(_truncatingBits: UInt.max), default: T(x64: X(UInt64(UInt.max), 0, 0, 0)))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Int8
//=------------------------------------------------------------------------=
func testFromInt8() {
ANKAssertNumbers(from: Int8.min, default: T(-128))
ANKAssertNumbers(from: Int8.max, default: T( 127))
}
//=------------------------------------------------------------------------=
// MARK: Tests x UInt8
//=------------------------------------------------------------------------=
func testFromUInt8() {
ANKAssertNumbers(from: UInt8.min, default: T())
ANKAssertNumbers(from: UInt8.max, default: T(255))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Int16
//=------------------------------------------------------------------------=
func testFromInt16() {
ANKAssertNumbers(from: Int16.min, default: T(-32768))
ANKAssertNumbers(from: Int16.max, default: T( 32767))
}
//=------------------------------------------------------------------------=
// MARK: Tests x UInt16
//=------------------------------------------------------------------------=
func testFromUInt16() {
ANKAssertNumbers(from: UInt16.min, default: T())
ANKAssertNumbers(from: UInt16.max, default: T( 65535))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Int32
//=------------------------------------------------------------------------=
func testFromInt32() {
ANKAssertNumbers(from: Int32.min, default: T(-2147483648))
ANKAssertNumbers(from: Int32.max, default: T( 2147483647))
}
//=------------------------------------------------------------------------=
// MARK: Tests x UInt32
//=------------------------------------------------------------------------=
func testFromUInt32() {
ANKAssertNumbers(from: UInt32.min, default: T())
ANKAssertNumbers(from: UInt32.max, default: T(4294967295))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Int64
//=------------------------------------------------------------------------=
func testToInt64() {
ANKAssertNumbers(from: T(x64: X( 1, 0, 0, 0)), default: Int64( 1))
ANKAssertNumbers(from: T(x64: X(~0, 0, 0, 0)), exactly: nil, clamping: Int64.max, truncating: -1)
ANKAssertNumbers(from: T(x64: X( 1, 1, 1, 1)), exactly: nil, clamping: Int64.max, truncating: 1)
ANKAssertNumbers(from: T(x64: X(~0, ~0, ~0, ~0)), default: Int64(-1))
}
func testFromInt64() {
ANKAssertNumbers(from: Int64.min, default: T(-9223372036854775808))
ANKAssertNumbers(from: Int64.max, default: T( 9223372036854775807))
}
//=------------------------------------------------------------------------=
// MARK: Tests x UInt64
//=------------------------------------------------------------------------=
func testToUInt64() {
ANKAssertNumbers(from: T(x64: X( 1, 0, 0, 0)), default: UInt64( 1))
ANKAssertNumbers(from: T(x64: X(~0, 0, 0, 0)), default: UInt64.max)
ANKAssertNumbers(from: T(x64: X( 1, 1, 1, 1)), exactly: nil, clamping: ~0, truncating: UInt64( 1))
ANKAssertNumbers(from: T(x64: X(~0, ~0, ~0, ~0)), exactly: nil, clamping: 0, truncating: UInt64.max)
}
func testFromUInt64() {
ANKAssertNumbers(from: UInt64.min, default: T())
ANKAssertNumbers(from: UInt64.max, default: T(18446744073709551615))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Signitude
//=------------------------------------------------------------------------=
func testFromSignitude() {
ANKAssertNumbers(from: S.min, default: T.min)
ANKAssertNumbers(from: S.max, default: T.max)
}
//=------------------------------------------------------------------------=
// MARK: Tests x Magnitude
//=------------------------------------------------------------------------=
func testToMagnitude() {
ANKAssertNumbers(from: T.min, exactly: nil, clamping: 0, truncating: M(bitPattern: T.min))
ANKAssertNumbers(from: T.max, default: /*-------------------------*/ M(bitPattern: T.max))
}
func testFromMagnitude() {
ANKAssertNumbers(from: M.min, exactly: T(), clamping: 00000, truncating: T(bitPattern: M.min))
ANKAssertNumbers(from: M.max, exactly: nil, clamping: T.max, truncating: T(bitPattern: M.max))
ANKAssertNumbers(from: M(bitPattern: S.max) + 0, default: M (bitPattern: S.max))
ANKAssertNumbers(from: M(bitPattern: S.max) + 1, exactly: nil, clamping: T.max, truncating: T.min)
}
//=------------------------------------------------------------------------=
// MARK: Tests x Double Width
//=------------------------------------------------------------------------=
func testToDoubleWidth() {
ANKAssertNumbers(from: T(x64: X( 1, 0, 0, 0)), default: T2(high: 0, low: M(x64: X( 1, 0, 0, 0))))
ANKAssertNumbers(from: T(x64: X(~0, 0, 0, 0)), default: T2(high: 0, low: M(x64: X(~0, 0, 0, 0))))
ANKAssertNumbers(from: T(x64: X( 1, 1, 1, 1)), default: T2(high: 0, low: M(x64: X( 1, 1, 1, 1))))
ANKAssertNumbers(from: T(x64: X(~0, ~0, ~0, ~0)), default: T2(high: -1, low: M(x64: X(~0, ~0, ~0, ~0))))
}
func testFromDoubleWidth() {
ANKAssertNumbers(from: T2(high: T.min, low: M(bitPattern: T.min)), default: T.min, exactly: nil)
ANKAssertNumbers(from: T2(high: T(-1), low: M(bitPattern: T.min)), default: T.min)
ANKAssertNumbers(from: T2(high: T( 0), low: M(bitPattern: T.max)), default: T.max)
ANKAssertNumbers(from: T2(high: T.max, low: M(bitPattern: T.max)), default: T.max, exactly: nil)
}
//=------------------------------------------------------------------------=
// MARK: Tests x Float32
//=------------------------------------------------------------------------=
func testToFloat32() {
XCTAssertEqual(Float32(T(-1)), Float32(-1))
XCTAssertEqual(Float32(T( 0)), Float32( 0))
XCTAssertEqual(Float32(T( 1)), Float32( 1))
XCTAssertEqual(Float32(T( Int32.min)), Float32( Int32.min))
XCTAssertEqual(Float32(T( Int32.max)), Float32( Int32.max))
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( -22.0)), -22)
XCTAssertEqual(T(Float32( 22.5)), 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(T.bitWidth))), nil)
XCTAssertEqual(T(exactly: -pow(2, Float32(T.bitWidth))), nil)
XCTAssertEqual(T(exactly: pow(2, Float32(64 * 0 - 1))), nil)
XCTAssertEqual(T(exactly: pow(2, Float32(64 * 0 - 0))), T(x64: X(1, 0, 0, 0)))
XCTAssertEqual(T(exactly: pow(2, Float32(64 * 1 - 1))), T(x64: X(1 << 63, 0, 0, 0)))
XCTAssertEqual(T(exactly: pow(2, Float32(64 * 2 - 1))), T(x64: X(0, 1 << 63, 0, 0)))
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(-1)), Float64(-1))
XCTAssertEqual(Float64(T( 0)), Float64( 0))
XCTAssertEqual(Float64(T( 1)), Float64( 1))
XCTAssertEqual(Float64(T( Int64.min)), Float64( Int64.min))
XCTAssertEqual(Float64(T( Int64.max)), Float64( Int64.max))
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( -22.0)), -22)
XCTAssertEqual(T(Float64( 22.5)), 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(T.bitWidth))), nil)
XCTAssertEqual(T(exactly: -pow(2, Float64(T.bitWidth))), nil)
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 0 - 1))), nil)
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 0 - 0))), T(x64: X(1, 0, 0, 0)))
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 1 - 1))), T(x64: X(1 << 63, 0, 0, 0)))
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 2 - 1))), T(x64: X(0, 1 << 63, 0, 0)))
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 3 - 1))), T(x64: X(0, 0, 1 << 63, 0)))
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 4 - 2))), T(x64: X(0, 0, 0, 1 << 62)))
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 4 - 1))), nil)
}
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.exactly (sign: .plus, magnitude: M( 1)), T( 1))
XCTAssertEqual(T.clamping(sign: .plus, magnitude: M( 1)), T( 1))
XCTAssertEqual(T.exactly (sign: .minus, magnitude: M( 1)), T(-1))
XCTAssertEqual(T.clamping(sign: .minus, magnitude: M( 1)), T(-1))
XCTAssertEqual(T.exactly (sign: .plus, magnitude: M.max), nil)
XCTAssertEqual(T.clamping(sign: .plus, magnitude: M.max), T.max)
XCTAssertEqual(T.exactly (sign: .minus, magnitude: M.max), nil)
XCTAssertEqual(T.clamping(sign: .minus, magnitude: M.max), T.min)
XCTAssertEqual(T.exactly (sign: .plus, magnitude: T.max.magnitude), T.max)
XCTAssertEqual(T.clamping(sign: .plus, magnitude: T.max.magnitude), T.max)
XCTAssertEqual(T.exactly (sign: .minus, magnitude: T.min.magnitude), T.min)
XCTAssertEqual(T.clamping(sign: .minus, magnitude: T.min.magnitude), T.min)
}
func testsFromSignAndMagnitudeAsPlusMinusZero() {
XCTAssertEqual(T.exactly (sign: .plus, magnitude: M( )), T( ))
XCTAssertEqual(T.clamping(sign: .plus, magnitude: M( )), T( ))
XCTAssertEqual(T.exactly (sign: .minus, magnitude: M( )), T( ))
XCTAssertEqual(T.clamping(sign: .minus, magnitude: M( )), T( ))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Literal
//=------------------------------------------------------------------------=
func testFromLiteral() {
XCTAssertEqual(T(x64: X( 0, 0, 0, 0)), 0)
XCTAssertEqual(T(x64: X(~0, 0, 0, 0)), 18446744073709551615)
XCTAssertEqual(T(x64: X(~0, ~0, 0, 0)), 340282366920938463463374607431768211455)
XCTAssertEqual(T(x64: X(~0, ~0, ~0, 0)), 6277101735386680763835789423207666416102355444464034512895)
XCTAssertEqual(T(x64: X(~0, ~0, ~0, ~0)), -1)
XCTAssertEqual(T.min, -57896044618658097711785492504343953926634992332820282019728792003956564819968)
XCTAssertEqual(T.max, 57896044618658097711785492504343953926634992332820282019728792003956564819967)
XCTAssertNil(T(exactlyIntegerLiteral: -57896044618658097711785492504343953926634992332820282019728792003956564819969))
XCTAssertNil(T(exactlyIntegerLiteral: 57896044618658097711785492504343953926634992332820282019728792003956564819968))
}
}
//*============================================================================*
// MARK: * ANK x UInt256 x Numbers
//*============================================================================*
final class UInt256TestsOnNumbers: XCTestCase {
typealias S = Int256
typealias T = UInt256
typealias M = UInt256
typealias S2 = ANKFullWidth<S, S.Magnitude>
typealias T2 = ANKFullWidth<T, T.Magnitude>
typealias M2 = ANKFullWidth<M, M.Magnitude>
//=------------------------------------------------------------------------=
// MARK: Tests
//=------------------------------------------------------------------------=
func testZero() {
ANKAssertNumbers(from: T( ), default: T(x64: X(0, 0, 0, 0)))
ANKAssertNumbers(from: T.zero, default: T(x64: X(0, 0, 0, 0)))
}
func testEdges() {
ANKAssertNumbers(from: T.min, default: T(x64: X(0, 0, 0, 0)))
ANKAssertNumbers(from: T.max, default: ~T(x64: X(0, 0, 0, 0)))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Int
//=------------------------------------------------------------------------=
func testFromInt() {
ANKAssertNumbers(from: Int.min, exactly: nil, clamping: 0, truncating: ~T(x64: X(UInt64(Int.max), 0, 0, 0)))
ANKAssertNumbers(from: Int.max, default: /*-------------------------*/ T(x64: X(UInt64(Int.max), 0, 0, 0)))
}
//=------------------------------------------------------------------------=
// MARK: Tests x UInt, Digit
//=------------------------------------------------------------------------=
func testFromUInt() {
ANKAssertNumbers(from: UInt.min, default: T(x64: X(UInt64(UInt.min), 0, 0, 0)))
ANKAssertNumbers(from: UInt.max, default: T(x64: X(UInt64(UInt.max), 0, 0, 0)))
}
func testFromUIntAsDigit() {
ANKAssertNumbers(from: T(digit: UInt.min), default: T(x64: X(UInt64(UInt.min), 0, 0, 0)))
ANKAssertNumbers(from: T(digit: UInt.max), default: T(x64: X(UInt64(UInt.max), 0, 0, 0)))
}
func testFromUIntAsBits() {
ANKAssertNumbers(from: T(_truncatingBits: UInt.min), default: T(x64: X(UInt64(UInt.min), 0, 0, 0)))
ANKAssertNumbers(from: T(_truncatingBits: UInt.max), default: T(x64: X(UInt64(UInt.max), 0, 0, 0)))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Int8
//=------------------------------------------------------------------------=
func testFromInt8() {
ANKAssertNumbers(from: Int8.min, exactly: nil, clamping: 0, truncating: ~T(127))
ANKAssertNumbers(from: Int8.max, default: /*-------------------------*/ T(127))
}
//=------------------------------------------------------------------------=
// MARK: Tests x UInt8
//=------------------------------------------------------------------------=
func testFromUInt8() {
ANKAssertNumbers(from: UInt8.min, default: T())
ANKAssertNumbers(from: UInt8.max, default: T(255))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Int16
//=------------------------------------------------------------------------=
func testFromInt16() {
ANKAssertNumbers(from: Int16.min, exactly: nil, clamping: 0, truncating: ~T(32767))
ANKAssertNumbers(from: Int16.max, default: /*-------------------------*/ T(32767))
}
//=------------------------------------------------------------------------=
// MARK: Tests x UInt16
//=------------------------------------------------------------------------=
func testFromUInt16() {
ANKAssertNumbers(from: UInt16.min, default: T())
ANKAssertNumbers(from: UInt16.max, default: T(65535))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Int32
//=------------------------------------------------------------------------=
func testFromInt32() {
ANKAssertNumbers(from: Int32.min, exactly: nil, clamping: 0, truncating: ~T(2147483647))
ANKAssertNumbers(from: Int32.max, default: /*-------------------------*/ T(2147483647))
}
//=------------------------------------------------------------------------=
// MARK: Tests x UInt32
//=------------------------------------------------------------------------=
func testFromUInt32() {
ANKAssertNumbers(from: UInt32.min, default: T())
ANKAssertNumbers(from: UInt32.max, default: T(4294967295))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Int64
//=------------------------------------------------------------------------=
func testToInt64() {
ANKAssertNumbers(from: T(x64: X( 1, 0, 0, 0)), default: Int64( 1))
ANKAssertNumbers(from: T(x64: X(~0, 0, 0, 0)), exactly: nil, clamping: Int64.max, truncating: ~0)
ANKAssertNumbers(from: T(x64: X( 1, 1, 1, 1)), exactly: nil, clamping: Int64.max, truncating: 1)
ANKAssertNumbers(from: T(x64: X(~0, ~0, ~0, ~0)), exactly: nil, clamping: Int64.max, truncating: ~0)
}
func testFromInt64() {
ANKAssertNumbers(from: Int64.min, exactly: nil, clamping: 0, truncating: ~T(x64: X(UInt64(Int64.max), 0, 0, 0)))
ANKAssertNumbers(from: Int64.max, default: /*-------------------------*/ T(x64: X(UInt64(Int64.max), 0, 0, 0)))
}
//=------------------------------------------------------------------------=
// MARK: Tests x UInt64
//=------------------------------------------------------------------------=
func testToUInt64() {
ANKAssertNumbers(from: T(x64: X( 1, 0, 0, 0)), default: UInt64( 1))
ANKAssertNumbers(from: T(x64: X(~0, 0, 0, 0)), default: UInt64.max)
ANKAssertNumbers(from: T(x64: X( 1, 1, 1, 1)), exactly: nil, clamping: UInt64.max, truncating: 1)
ANKAssertNumbers(from: T(x64: X(~0, ~0, ~0, ~0)), exactly: nil, clamping: UInt64.max, truncating: ~0)
}
func testFromUInt64() {
ANKAssertNumbers(from: UInt64.min, default: T(x64: X(UInt64.min, 0, 0, 0)))
ANKAssertNumbers(from: UInt64.max, default: T(x64: X(UInt64.max, 0, 0, 0)))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Signitude
//=------------------------------------------------------------------------=
func testFromSignitude() {
ANKAssertNumbers(from: S.min, exactly: nil, clamping: T.min, truncating: T(bitPattern: S.min))
ANKAssertNumbers(from: S(-1), exactly: nil, clamping: T.min, truncating: T(bitPattern: S(-1)))
ANKAssertNumbers(from: S( ), default: /*-----------------------------*/ T(bitPattern: S( )))
ANKAssertNumbers(from: S.max, default: /*-----------------------------*/ T(bitPattern: S.max))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Magnitude
//=------------------------------------------------------------------------=
func testToMagnitude() {
ANKAssertNumbers(from: T.min, default: M.min)
ANKAssertNumbers(from: T.max, default: M.max)
}
func testFromMagnitude() {
ANKAssertNumbers(from: M.min, default: T.min)
ANKAssertNumbers(from: M.max, default: T.max)
}
//=------------------------------------------------------------------------=
// MARK: Tests x Double Width
//=------------------------------------------------------------------------=
func testToDoubleWidth() {
ANKAssertNumbers(from: T(x64: X( 1, 0, 0, 0)), default: T2(low: M(x64: X( 1, 0, 0, 0))))
ANKAssertNumbers(from: T(x64: X(~0, 0, 0, 0)), default: T2(low: M(x64: X(~0, 0, 0, 0))))
ANKAssertNumbers(from: T(x64: X( 1, 1, 1, 1)), default: T2(low: M(x64: X( 1, 1, 1, 1))))
ANKAssertNumbers(from: T(x64: X(~0, ~0, ~0, ~0)), default: T2(low: M(x64: X(~0, ~0, ~0, ~0))))
}
func testFromDoubleWidth() {
ANKAssertNumbers(from: T2(high: T.min, low: M.min), default: T( ))
ANKAssertNumbers(from: T2(high: T( ), low: M.min), default: T.min)
ANKAssertNumbers(from: T2(high: T( ), low: M.max), default: T.max)
ANKAssertNumbers(from: T2(high: T.max, low: M.max), default: T.max, exactly: nil)
}
//=------------------------------------------------------------------------=
// 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(T.bitWidth))), nil)
XCTAssertEqual(T(exactly: -pow(2, Float32(T.bitWidth))), nil)
XCTAssertEqual(T(exactly: pow(2, Float32(64 * 0 - 1))), nil)
XCTAssertEqual(T(exactly: pow(2, Float32(64 * 0 - 0))), T(x64: X(1, 0, 0, 0)))
XCTAssertEqual(T(exactly: pow(2, Float32(64 * 1 - 1))), T(x64: X(1 << 63, 0, 0, 0)))
XCTAssertEqual(T(exactly: pow(2, Float32(64 * 2 - 1))), T(x64: X(0, 1 << 63, 0, 0)))
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(T.bitWidth))), nil)
XCTAssertEqual(T(exactly: -pow(2, Float64(T.bitWidth))), nil)
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 0 - 1))), nil)
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 0 - 0))), T(x64: X(1, 0, 0, 0)))
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 1 - 1))), T(x64: X(1 << 63, 0, 0, 0)))
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 2 - 1))), T(x64: X(0, 1 << 63, 0, 0)))
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 3 - 1))), T(x64: X(0, 0, 1 << 63, 0)))
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 4 - 1))), T(x64: X(0, 0, 0, 1 << 63)))
XCTAssertEqual(T(exactly: pow(2, Float64(64 * 4 - 0))), nil)
}
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.exactly (sign: .plus, magnitude: M( 1)), T( 1))
XCTAssertEqual(T.clamping(sign: .plus, magnitude: M( 1)), T( 1))
XCTAssertEqual(T.exactly (sign: .minus, magnitude: M( 1)), nil)
XCTAssertEqual(T.clamping(sign: .minus, magnitude: M( 1)), T.min)
XCTAssertEqual(T.exactly (sign: .plus, magnitude: M.max), T.max)
XCTAssertEqual(T.clamping(sign: .plus, magnitude: M.max), T.max)
XCTAssertEqual(T.exactly (sign: .minus, magnitude: M.max), nil)
XCTAssertEqual(T.clamping(sign: .minus, magnitude: M.max), T.min)
XCTAssertEqual(T.exactly (sign: .plus, magnitude: T.max.magnitude), T.max)
XCTAssertEqual(T.clamping(sign: .plus, magnitude: T.max.magnitude), T.max)
XCTAssertEqual(T.exactly (sign: .minus, magnitude: T.min.magnitude), T.min)
XCTAssertEqual(T.clamping(sign: .minus, magnitude: T.min.magnitude), T.min)
}
func testsFromSignAndMagnitudeAsPlusMinusZero() {
XCTAssertEqual(T.exactly (sign: .plus, magnitude: M( )), T( ))
XCTAssertEqual(T.clamping(sign: .plus, magnitude: M( )), T( ))
XCTAssertEqual(T.exactly (sign: .minus, magnitude: M( )), T( ))
XCTAssertEqual(T.clamping(sign: .minus, magnitude: M( )), T( ))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Literal
//=------------------------------------------------------------------------=
func testFromLiteral() {
XCTAssertEqual(T(x64: X( 0, 0, 0, 0)), 0)
XCTAssertEqual(T(x64: X(~0, 0, 0, 0)), 18446744073709551615)
XCTAssertEqual(T(x64: X(~0, ~0, 0, 0)), 340282366920938463463374607431768211455)
XCTAssertEqual(T(x64: X(~0, ~0, ~0, 0)), 6277101735386680763835789423207666416102355444464034512895)
XCTAssertEqual(T(x64: X(~0, ~0, ~0, ~0)), 115792089237316195423570985008687907853269984665640564039457584007913129639935)
XCTAssertNil(T(exactlyIntegerLiteral: -1))
XCTAssertNil(T(exactlyIntegerLiteral: 115792089237316195423570985008687907853269984665640564039457584007913129639936))
}
}
#endif