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NBKFlexibleWidth+Multiplication.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 Multiplication x UIntXL
//*============================================================================*
final class NBKFlexibleWidthTestsOnMultiplicationAsUIntXL: XCTestCase {
typealias T = UIntXL
typealias M = UIntXL
//=------------------------------------------------------------------------=
// MARK: Tests
//=------------------------------------------------------------------------=
func testMultiplying() {
NBKAssertMultiplication(T(words:[ 1, 2, 3, 4] as X), T(words:[2, 0, 0, 0] as X), T(words:[ 2, 4, 6, 8, 0, 0, 0, 0] as X))
NBKAssertMultiplication(T(words:[ 1, 2, 3, 4] as X), T(words:[0, 2, 0, 0] as X), T(words:[ 0, 2, 4, 6, 8, 0, 0, 0] as X))
NBKAssertMultiplication(T(words:[ 1, 2, 3, 4] as X), T(words:[0, 0, 2, 0] as X), T(words:[ 0, 0, 2, 4, 6, 8, 0, 0] as X))
NBKAssertMultiplication(T(words:[ 1, 2, 3, 4] as X), T(words:[0, 0, 0, 2] as X), T(words:[ 0, 0, 0, 2, 4, 6, 8, 0] as X))
NBKAssertMultiplication(T(words:[~1, ~2, ~3, ~4] as X), T(words:[2, 0, 0, 0] as X), T(words:[~3, ~4, ~6, ~8, 1, 0, 0, 0] as X))
NBKAssertMultiplication(T(words:[~1, ~2, ~3, ~4] as X), T(words:[0, 2, 0, 0] as X), T(words:[ 0, ~3, ~4, ~6, ~8, 1, 0, 0] as X))
NBKAssertMultiplication(T(words:[~1, ~2, ~3, ~4] as X), T(words:[0, 0, 2, 0] as X), T(words:[ 0, 0, ~3, ~4, ~6, ~8, 1, 0] as X))
NBKAssertMultiplication(T(words:[~1, ~2, ~3, ~4] as X), T(words:[0, 0, 0, 2] as X), T(words:[ 0, 0, 0, ~3, ~4, ~6, ~8, 1] as X))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Digit (and Self)
//=------------------------------------------------------------------------=
func testMultiplyingByDigit() {
NBKAssertMultiplicationByDigit(T(words:[1, 2, 3, 4] as X), UInt(0), T(words:[ 0, 0, 0, 0, 0] as X))
NBKAssertMultiplicationByDigit(T(words:[1, 2, 3, 4] as X), UInt(1), T(words:[ 1, 2, 3, 4, 0] as X))
NBKAssertMultiplicationByDigit(T(words:[1, 2, 3, 4] as X), UInt(2), T(words:[ 2, 4, 6, 8, 0] as X))
NBKAssertMultiplicationByDigit(T(words:[1, 2, 3, 4] as X), ~UInt(0), ~T(words:[ 0, 1, 1, 1, ~3] as X))
NBKAssertMultiplicationByDigit(T(words:[1, 2, 3, 4] as X), ~UInt(1), ~T(words:[ 1, 3, 4, 5, ~3] as X))
NBKAssertMultiplicationByDigit(T(words:[1, 2, 3, 4] as X), ~UInt(2), ~T(words:[ 2, 5, 7, 9, ~3] as X))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Digit x Addition
//=------------------------------------------------------------------------=
func testMultiplyingByDigitWithAddition() {
NBKAssertMultiplicationByDigitWithAddition(T(words:[~0, ~0, ~0, ~0] as X), 0, 0, T(words:[ 0, 0, 0, 0, 0] as X))
NBKAssertMultiplicationByDigitWithAddition(T(words:[~0, ~0, ~0, ~0] as X), 0, ~0, T(words:[~0, 0, 0, 0, 0] as X))
NBKAssertMultiplicationByDigitWithAddition(T(words:[~0, ~0, ~0, ~0] as X), ~0, 0, T(words:[ 1, ~0, ~0, ~0, ~1] as X))
NBKAssertMultiplicationByDigitWithAddition(T(words:[~0, ~0, ~0, ~0] as X), ~0, ~0, T(words:[ 0, 0, 0, 0, ~0] as X))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Square
//=------------------------------------------------------------------------=
func testMultiplyingBySquaring() {
NBKAssertMultiplicationBySquaring(T(words:[ 0, 0, 0, 0] as X), T(words:[ 0, 0, 0, 0, 0, 0, 0, 0] as X))
NBKAssertMultiplicationBySquaring(T(words:[ 1, 2, 3, 4] as X), T(words:[ 1, 4, 10, 20, 25, 24, 16, 0] as X))
NBKAssertMultiplicationBySquaring(T(words:[~1, ~2, ~3, ~4] as X), T(words:[ 4, 8, 16, 28, 21, 20, 10, ~7] as X))
NBKAssertMultiplicationBySquaring(T(words:[~0, ~0, ~0, ~0] as X), T(words:[ 1, 0, 0, 0, ~1, ~0, ~0, ~0] as X))
}
//=------------------------------------------------------------------------=
// MARK: Tests x Miscellaneous
//=------------------------------------------------------------------------=
func testOverloadsAreUnambiguousWhenUsingIntegerLiterals() {
func becauseThisCompilesSuccessfully(_ x: inout T) {
XCTAssertNotNil(x *= 0)
XCTAssertNotNil(x.multiply(by: 0, add: 0))
XCTAssertNotNil(x * 0)
XCTAssertNotNil(x.multiplied(by: 0, adding: 0))
}
}
}
//*============================================================================*
// MARK: * NBK x Flexible Width x Multiplication x Assertions
//*============================================================================*
private func NBKAssertMultiplication<T: IntXLOrUIntXL>(
_ lhs: T, _ rhs: T, _ product: T,
file: StaticString = #file, line: UInt = #line) {
//=------------------------------------------=
XCTAssertEqual( lhs * rhs, product, file: file, line: line)
XCTAssertEqual({ var lhs = lhs; lhs *= rhs; return lhs }(), product, file: file, line: line)
}
private func NBKAssertMultiplicationByDigit<T: IntXLOrUIntXL>(
_ lhs: T, _ rhs: T.Digit, _ product: T,
file: StaticString = #file, line: UInt = #line) {
//=------------------------------------------=
NBKAssertMultiplication(lhs, T(digit: rhs), product, file: file, line: line)
//=------------------------------------------=
XCTAssertEqual( lhs * rhs, product, file: file, line: line)
XCTAssertEqual({ var lhs = lhs; lhs *= rhs; return lhs }(), product, file: file, line: line)
}
private func NBKAssertMultiplicationBySquaring<T: IntXLOrUIntXL>(
_ base: T, _ product: T,
file: StaticString = #file, line: UInt = #line) {
//=------------------------------------------=
NBKAssertMultiplication(base, base, product, file: file, line: line)
//=------------------------------------------=
XCTAssertEqual( base.squared(), product, file: file, line: line)
XCTAssertEqual({ var base = base; base.square (); return base }(), product, file: file, line: line)
}
//=----------------------------------------------------------------------------=
// MARK: + UIntXL
//=----------------------------------------------------------------------------=
private func NBKAssertMultiplicationByDigitWithAddition(
_ lhs: UIntXL, _ rhs: UInt, _ addend: UInt, _ product: UIntXL,
file: StaticString = #file, line: UInt = #line) {
//=------------------------------------------=
XCTAssertEqual(lhs.multiplied(by: rhs, adding: addend), product, file: file, line: line)
XCTAssertEqual({ var lhs = lhs; lhs.multiply(by: rhs, add: addend); return lhs }(), product, file: file, line: line)
}