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August 26, 2024 12:21
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Interesting Pi Leibniz Algorithm in Kotlin
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| package com.test | |
| import java.math.BigDecimal | |
| import java.math.MathContext | |
| import java.math.RoundingMode | |
| import java.text.NumberFormat | |
| fun divideBigDecimal(dividend: BigDecimal, divisor: BigDecimal, scale: Int): BigDecimal { | |
| return dividend.divide(divisor, scale, RoundingMode.HALF_UP) | |
| } | |
| fun calculatePiLeibniz(iterations: Long, scale: Int): BigDecimal { | |
| var pi = BigDecimal.ZERO | |
| val one = BigDecimal.ONE | |
| val four = BigDecimal(4) | |
| val mc = MathContext(scale, RoundingMode.HALF_UP) | |
| for (i in 0 until iterations) { | |
| val denominator = BigDecimal(2 * i + 1) | |
| val term = four.divide(denominator, mc) | |
| if (i % 2 == 0L) { | |
| pi = pi.add(term, mc) | |
| } else { | |
| pi = pi.subtract(term, mc) | |
| } | |
| } | |
| println("Calculated π: $pi with $iterations iterations") | |
| val nf = NumberFormat.getInstance(); | |
| nf.isGroupingUsed = false | |
| nf.maximumFractionDigits = scale | |
| nf.maximumFractionDigits = scale | |
| println("* real π - π: ${nf.format(piReal - pi)} with $iterations iterations") | |
| return pi | |
| } | |
| val piReal = | |
| BigDecimal("3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679") | |
| fun main() { | |
| val scale = 200 // 小数位数 | |
| // val iterations = // 迭代次数 | |
| println("-- Precise π: $piReal") | |
| calculatePiLeibniz(100000, scale) | |
| calculatePiLeibniz(1000000, scale) | |
| calculatePiLeibniz(10000000, scale) | |
| calculatePiLeibniz(100000000, scale) | |
| calculatePiLeibniz(1000000000, scale) | |
| calculatePiLeibniz(10000000000, scale) | |
| calculatePiLeibniz(100000000000, scale) | |
| } |
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