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192+Subtraction.swift
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192+Subtraction.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
import ANKFullWidthKit
import XCTest
private typealias X = ANK.U192X64
private typealias Y = ANK.U192X32
//*============================================================================*
// MARK: * ANK x Int192 x Subtraction
//*============================================================================*
final class Int192TestsOnSubtraction: XCTestCase {
typealias T = Int192
//=------------------------------------------------------------------------=
// MARK: Tests
//=------------------------------------------------------------------------=
func testSubtracting() {
ANKAssertSubtraction(T( 1), T( 2), T(-1))
ANKAssertSubtraction(T( 1), T( 1), T( 0))
ANKAssertSubtraction(T( 1), T( 0), T( 1))
ANKAssertSubtraction(T( 1), T(-1), T( 2))
ANKAssertSubtraction(T( 1), T(-2), T( 3))
ANKAssertSubtraction(T( 0), T( 2), T(-2))
ANKAssertSubtraction(T( 0), T( 1), T(-1))
ANKAssertSubtraction(T( 0), T( 0), T( 0))
ANKAssertSubtraction(T( 0), T(-1), T( 1))
ANKAssertSubtraction(T( 0), T(-2), T( 2))
ANKAssertSubtraction(T(-1), T( 2), T(-3))
ANKAssertSubtraction(T(-1), T( 1), T(-2))
ANKAssertSubtraction(T(-1), T( 0), T(-1))
ANKAssertSubtraction(T(-1), T(-1), T( 0))
ANKAssertSubtraction(T(-1), T(-2), T( 1))
}
func testSubtractingUsingLargeValues() {
ANKAssertSubtraction(T(x64: X(~0, ~0, 0)), -T(x64: X(3, 0, 0)), T(x64: X( 2, 0, 1)))
ANKAssertSubtraction(T(x64: X(~0, ~0, 0)), -T(x64: X(0, 3, 0)), T(x64: X(~0, 2, 1)))
ANKAssertSubtraction(T(x64: X(~0, ~0, 0)), -T(x64: X(0, 0, 3)), T(x64: X(~0, ~0, 3)))
ANKAssertSubtraction(T(x64: X(~0, ~0, 0)), T(x64: X(3, 0, 0)), T(x64: X(~3, ~0, 0)))
ANKAssertSubtraction(T(x64: X(~0, ~0, 0)), T(x64: X(0, 3, 0)), T(x64: X(~0, ~3, 0)))
ANKAssertSubtraction(T(x64: X(~0, ~0, 0)), T(x64: X(0, 0, 3)), T(x64: X(~0, ~0, ~2)))
ANKAssertSubtraction(T(x64: X( 0, 0, ~0)), -T(x64: X(3, 0, 0)), T(x64: X( 3, 0, ~0)))
ANKAssertSubtraction(T(x64: X( 0, 0, ~0)), -T(x64: X(0, 3, 0)), T(x64: X( 0, 3, ~0)))
ANKAssertSubtraction(T(x64: X( 0, 0, ~0)), -T(x64: X(0, 0, 3)), T(x64: X( 0, 0, 2)))
ANKAssertSubtraction(T(x64: X( 0, 0, ~0)), T(x64: X(3, 0, 0)), T(x64: X(~2, ~0, ~1)))
ANKAssertSubtraction(T(x64: X( 0, 0, ~0)), T(x64: X(0, 3, 0)), T(x64: X( 0, ~2, ~1)))
ANKAssertSubtraction(T(x64: X( 0, 0, ~0)), T(x64: X(0, 0, 3)), T(x64: X( 0, 0, ~3)))
}
func testSubtractingReportingOverflow() {
ANKAssertSubtraction(T.min, T( 2), T.max - T(1), true )
ANKAssertSubtraction(T.max, T( 2), T.max - T(2), false)
ANKAssertSubtraction(T.min, T(-2), T.min + T(2), false)
ANKAssertSubtraction(T.max, T(-2), T.min + T(1), true )
ANKAssertSubtraction(T(high: .min, low: .min), T(-1), T(high: .min, low: .min + 1), false) // carry 1st
ANKAssertSubtraction(T(high: .max, low: .min), T(-1), T(high: .max, low: .min + 1), false) // carry 2nd
}
//=------------------------------------------------------------------------=
// MARK: Tests x Digit
//=------------------------------------------------------------------------=
func testSubtractingDigit() {
ANKAssertSubtractionByDigit(T( 1), Int( 2), T(-1))
ANKAssertSubtractionByDigit(T( 1), Int( 1), T( 0))
ANKAssertSubtractionByDigit(T( 1), Int( 0), T( 1))
ANKAssertSubtractionByDigit(T( 1), Int(-1), T( 2))
ANKAssertSubtractionByDigit(T( 1), Int(-2), T( 3))
ANKAssertSubtractionByDigit(T( 0), Int( 2), T(-2))
ANKAssertSubtractionByDigit(T( 0), Int( 1), T(-1))
ANKAssertSubtractionByDigit(T( 0), Int( 0), T( 0))
ANKAssertSubtractionByDigit(T( 0), Int(-1), T( 1))
ANKAssertSubtractionByDigit(T( 0), Int(-2), T( 2))
ANKAssertSubtractionByDigit(T(-1), Int( 2), T(-3))
ANKAssertSubtractionByDigit(T(-1), Int( 1), T(-2))
ANKAssertSubtractionByDigit(T(-1), Int( 0), T(-1))
ANKAssertSubtractionByDigit(T(-1), Int(-1), T( 0))
ANKAssertSubtractionByDigit(T(-1), Int(-2), T( 1))
}
func testSubtractingDigitUsingLargeValues() {
ANKAssertSubtractionByDigit(T(x64: X(~0, ~0, 0)), -Int(3), T(x64: X( 2, 0, 1)))
ANKAssertSubtractionByDigit(T(x64: X(~0, ~0, 0)), Int(3), T(x64: X(~3, ~0, 0)))
ANKAssertSubtractionByDigit(T(x64: X( 0, 0, ~0)), -Int(3), T(x64: X( 3, 0, ~0)))
ANKAssertSubtractionByDigit(T(x64: X( 0, 0, ~0)), Int(3), T(x64: X(~2, ~0, ~1)))
}
func testSubtractingDigitReportingOverflow() {
ANKAssertSubtractionByDigit(T.min, Int( 2), T.max - T(1), true )
ANKAssertSubtractionByDigit(T.min, Int(-2), T.min + T(2), false)
ANKAssertSubtractionByDigit(T.max, Int( 2), T.max - T(2), false)
ANKAssertSubtractionByDigit(T.max, Int(-2), T.min + T(1), true )
}
//=------------------------------------------------------------------------=
// MARK: Tests x Miscellaneous
//=------------------------------------------------------------------------=
func testOverloadsAreUnambiguousWhenUsingIntegerLiterals() {
func becauseThisCompilesSuccessfully(_ x: inout T) {
XCTAssertNotNil(x -= 0)
XCTAssertNotNil(x &-= 0)
XCTAssertNotNil(x.subtractReportingOverflow(0))
XCTAssertNotNil(x - 0)
XCTAssertNotNil(x &- 0)
XCTAssertNotNil(x.subtractingReportingOverflow(0))
}
}
}
//*============================================================================*
// MARK: * ANK x UInt192 x Subtraction
//*============================================================================*
final class UInt192TestsOnSubtraction: XCTestCase {
typealias T = UInt192
//=------------------------------------------------------------------------=
// MARK: Tests
//=------------------------------------------------------------------------=
func testSubtracting() {
ANKAssertSubtraction(T(3), T(0), T(3))
ANKAssertSubtraction(T(3), T(1), T(2))
ANKAssertSubtraction(T(3), T(2), T(1))
ANKAssertSubtraction(T(3), T(3), T(0))
}
func testSubtractingUsingLargeValues() {
ANKAssertSubtraction(T(x64: X(0, ~0, ~0)), T(x64: X(3, 0, 0)), T(x64: X(~2, ~1, ~0)))
ANKAssertSubtraction(T(x64: X(0, ~0, ~0)), T(x64: X(0, 3, 0)), T(x64: X( 0, ~3, ~0)))
ANKAssertSubtraction(T(x64: X(0, ~0, ~0)), T(x64: X(0, 0, 3)), T(x64: X( 0, ~0, ~3)))
}
func testSubtractingReportingOverflow() {
ANKAssertSubtraction(T.min, T(2), T.max - T(1), true )
ANKAssertSubtraction(T.max, T(2), T.max - T(2), false)
}
//=------------------------------------------------------------------------=
// MARK: Tests x Digit
//=------------------------------------------------------------------------=
func testSubtractingDigit() {
ANKAssertSubtractionByDigit(T(3), UInt(0), T(3))
ANKAssertSubtractionByDigit(T(3), UInt(1), T(2))
ANKAssertSubtractionByDigit(T(3), UInt(2), T(1))
ANKAssertSubtractionByDigit(T(3), UInt(3), T(0))
}
func testSubtractingDigitUsingLargeValues() {
ANKAssertSubtractionByDigit(T(x64: X(~0, ~0, ~0)), UInt(3), T(x64: X(~3, ~0, ~0)))
ANKAssertSubtractionByDigit(T(x64: X( 0, ~0, ~0)), UInt(3), T(x64: X(~2, ~1, ~0)))
ANKAssertSubtractionByDigit(T(x64: X( 0, 0, ~0)), UInt(3), T(x64: X(~2, ~0, ~1)))
}
func testSubtractingDigitReportingOverflow() {
ANKAssertSubtractionByDigit(T.min, UInt(2), T.max - T(1), true )
ANKAssertSubtractionByDigit(T.max, UInt(2), T.max - T(2), false)
}
//=------------------------------------------------------------------------=
// MARK: Tests x Miscellaneous
//=------------------------------------------------------------------------=
func testOverloadsAreUnambiguousWhenUsingIntegerLiterals() {
func becauseThisCompilesSuccessfully(_ x: inout T) {
XCTAssertNotNil(x -= 0)
XCTAssertNotNil(x &-= 0)
XCTAssertNotNil(x.subtractReportingOverflow(0))
XCTAssertNotNil(x - 0)
XCTAssertNotNil(x &- 0)
XCTAssertNotNil(x.subtractingReportingOverflow(0))
}
}
}
#endif