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Ingy döt Net 2023-07-01 11:58:00 -04:00
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Task/Pathological-floating-point-problems/Kotlin/pathological-floating-point-problems.kotlin Normal file
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// version 1.0.6
import java.math.*
const val LIMIT = 100
val con480 = MathContext(480)
val bigTwo = BigDecimal(2)
val bigE = BigDecimal("2.71828182845904523536028747135266249775724709369995") // precise enough!
fun main(args: Array<String>) {
// v(n) sequence task
val c1 = BigDecimal(111)
val c2 = BigDecimal(1130)
val c3 = BigDecimal(3000)
var v1 = bigTwo
var v2 = BigDecimal(-4)
var v3: BigDecimal
for (i in 3 .. LIMIT) {
v3 = c1 - c2.divide(v2, con480) + c3.divide(v2 * v1, con480)
println("${"%3d".format(i)} : ${"%19.16f".format(v3)}")
v1 = v2
v2 = v3
}
// Chaotic Building Society task
var balance = bigE - BigDecimal.ONE
for (year in 1..25) balance = balance.multiply(BigDecimal(year), con480) - BigDecimal.ONE
println("\nBalance after 25 years is ${"%18.16f".format(balance)}")
// Siegfried Rump task
val a = BigDecimal(77617)
val b = BigDecimal(33096)
val c4 = BigDecimal("333.75")
val c5 = BigDecimal(11)
val c6 = BigDecimal(121)
val c7 = BigDecimal("5.5")
var f = c4 * b.pow(6, con480) + c7 * b.pow(8, con480) + a.divide(bigTwo * b, con480)
val c8 = c5 * a.pow(2, con480) * b.pow(2, con480) - b.pow(6, con480) - c6 * b.pow(4, con480) - bigTwo
f += c8 * a.pow(2, con480)
println("\nf(77617.0, 33096.0) is ${"%18.16f".format(f)}")
}