How to resolve the algorithm Number names step by step in the Scala programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Number names step by step in the Scala programming language
Table of Contents
Problem Statement
Show how to spell out a number in English. You can use a preexisting implementation or roll your own, but you should support inputs up to at least one million (or the maximum value of your language's default bounded integer type, if that's less). Support for inputs other than positive integers (like zero, negative integers, and floating-point numbers) is optional.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Number names step by step in the Scala programming language
Source code in the scala programming language
import scala.annotation.tailrec
import scala.collection.parallel.ParSeq
/** Spells an English numeral longhand. The numbers are expressed using words.
*
* The implementation goes up to 10<sup>69</sup>-1 and also supports negative and zero inputs.
*
* @example longhand( 1234 ) // results in: "one thousand two hundred thirty-four".
*/
trait LongHand {
/** Spells a number longhand
*
* Done by recursively process the triplets of decimal numbers.
* @param numeral the numeric value to be converted
* @param showAnd flag the output extra and in output, default off
* @param zeroString the word for 0, default to "zero"
* @param showHyphen hyphenate all compound numbers e.g. twenty-four, default is on
* @return the numeric value expressed in words
*/
def longhand(numeral: BigInt,
showAnd: Boolean = false,
zeroString: String = "zero",
showHyphen: Boolean = true): String = {
val condAndString = if (showAnd) "and " else ""
val condHyphenString = if (showHyphen) "-" else " "
// 234 Becomes "two hundred [and] thirty-four"
def composeScale(nnn: String, isLSDgroup: Boolean, strE3: String): String = {
nnn match { // Rare exceptions confirms the rule
case "000" => ""
case "100" => onesAndTeens(1) + hundredString + strE3 // Solves the faulty hundred AND thousand problem
case _ => {
val eval = (nnn.par.map(_.toString.toInt).reverse zip ParSeq('units, 'tens, 'hundreds)).reverse
eval.map {
case (d, 'units) if eval.seq.contains(1, 'tens) => onesAndTeens(d + 10)
case (d, 'units) if (isLSDgroup && nnn == "0") => zeroString
case (d, 'units) => onesAndTeens(d)
case (d, 'hundreds) if d > 0 => onesAndTeens(d) + hundredString + condAndString
case (d, 'tens) if d > 1 && eval.seq.contains(0, 'units) => tens(d)
case (d, 'tens) if d > 1 => tens(d) + condHyphenString //'
case _ => ""
}.mkString + strE3
}
}
} // def composeScale(…
def compose(n: BigInt): String = {
// "1234" becomes List((1,"thousand"), (234, ""))
val decGroups = n.toString.reverse.grouped(3).map(_.reverse).toSeq.par // Group into powers of thousands
if (decGroups.size <= shortScale.size) // Detect overflow
{ // Send per group section to composeScale
@tailrec
def iter(elems: Seq[(String, String)], acc: String): String = {
elems match {
case (group, powers) :: tail => {
iter(tail, acc + composeScale(group, tail == Nil, powers))
}
case _ => acc
}
} // Group of decimals are accompanied with the short scale name.
iter(decGroups.zip(shortScale).reverse.toList, "").mkString.trim
} else "###.overflow.###"
} // def compose(…
// Here starts def longhand(…
if (numeral < 0) "minus " + compose(-numeral) else compose(numeral)
} // End def longhand(…
private val onesAndTeens = {
def dozen = "one two three four five six seven eight nine ten eleven twelve".split(' ').map(_ + " ").par
def teens = "thir four fif six seven eigh nine".split(' ').map(_ + "teen ").par
ParSeq("") ++ dozen ++ teens
}
private val tens = ParSeq("", "") ++
("twen thir for fif six seven eigh nine".split(' ')).map(_ + "ty")
private final val hundredString = "hundred "
private val shortScale = {
def p1 = "m b tr quadr quint sext sept oct non dec".split(' ').map(_ + "illion ").par
def p2 = "un duo tre quattuor quin sex septen octo novem ".split(' ').map(_ + "decillion ").par
def p3 = "vigint cent".split(' ').map(_ + "illion ").par
ParSeq("", "thousand ") ++ p1 ++ p2 ++ p3
}
} // trait LongHand
object SpellNumber extends LongHand with App {
// Main entry A little test...
{ // Anonymous ordered list as test set
def testVal1 = BigInt("1" * 69)
def testVal9 = BigInt(10).pow(69) - 1
@tailrec // Series generator of 9, 98, 987, 9876 …
def inner(counter: Int, elem: BigInt, testList: ParSeq[BigInt]): ParSeq[BigInt] = {
if (counter < 20)
inner(counter + 1, elem * 10 + (9 - (counter % 10)), testList ++ ParSeq(elem))
else testList.par
}
inner(0, 0L, // Test values
ParSeq(-Long.MaxValue, -1000000000, 12, 13, 19, 20, 21, 112, 1001, 1012, 1013,
Long.MaxValue - 1, Long.MaxValue - 13, testVal1, testVal9)) ++
(for (z <- 0 to 69) yield BigInt(10).pow(z)) // powers of ten
}.seq.sorted.foreach(num => println(f"$num%+,80d -> ${longhand(numeral = num, showAnd = true)}"))
} // object SpellNumber @ line 110
import scala.collection.immutable.TreeMap
val NUMBERS = TreeMap(
1 -> "one", 2 -> "two", 3 -> "three", 4 -> "four", 5 -> "five", 6 -> "six", 7 -> "seven", 8 -> "eight", 9 -> "nine",
10 -> "ten", 11 -> "eleven", 12 -> "twelve", 13 -> "thirteen", 14 -> "fourteen", 15 -> "fifteen", 16 -> "sixteen",
17 -> "seventeen", 18 -> "eighteen", 19 -> "nineteen", 20 -> "twenty", 30 -> "thirty", 40 -> "forty",
50 -> "fifty", 60 -> "sixty", 70 -> "seventy", 80 -> "eighty", 90 -> "ninety"
)
val HUNDREDS = TreeMap(
100l -> "hundred", 1000l -> "thousand", 1000000l -> "million", 1000000000l -> "billion", 1000000000000l -> "trillion"
)
def numberToString(number: Long) : String = {
if (HUNDREDS.to(number).nonEmpty) {
val (h, hundreds) = HUNDREDS.to(number).last
val remainder = number % h
numberToString(number / h) + hundreds + {if (remainder > 0) {if (remainder < 100) " and " else ", "} + numberToString(remainder) else " "}
} else if (NUMBERS.to(number.toInt).nonEmpty) {
val (n, word) = NUMBERS.to(number.toInt).last
val remainder = number - n
word + {if (remainder > 0 && remainder < 10) "-" else " "} + numberToString(remainder)
} else {
""
}
}
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