41 lines
1.3 KiB
Text
41 lines
1.3 KiB
Text
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import java.lang.Math.*
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data class Approx(val ν: Double, val σ: Double = 0.0) {
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constructor(a: Approx) : this(a.ν, a.σ)
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constructor(n: Number) : this(n.toDouble(), 0.0)
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override fun toString() = "$ν ±$σ"
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operator infix fun plus(a: Approx) = Approx(ν + a.ν, sqrt(σ * σ + a.σ * a.σ))
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operator infix fun plus(d: Double) = Approx(ν + d, σ)
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operator infix fun minus(a: Approx) = Approx(ν - a.ν, sqrt(σ * σ + a.σ * a.σ))
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operator infix fun minus(d: Double) = Approx(ν - d, σ)
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operator infix fun times(a: Approx): Approx {
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val v = ν * a.ν
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return Approx(v, sqrt(v * v * σ * σ / (ν * ν) + a.σ * a.σ / (a.ν * a.ν)))
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}
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operator infix fun times(d: Double) = Approx(ν * d, abs(d * σ))
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operator infix fun div(a: Approx): Approx {
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val v = ν / a.ν
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return Approx(v, sqrt(v * v * σ * σ / (ν * ν) + a.σ * a.σ / (a.ν * a.ν)))
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}
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operator infix fun div(d: Double) = Approx(ν / d, abs(d * σ))
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fun pow(d: Double): Approx {
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val v = pow(ν, d)
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return Approx(v, abs(v * d * σ / ν))
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}
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}
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fun main(args: Array<String>) {
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val x1 = Approx(100.0, 1.1)
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val y1 = Approx(50.0, 1.2)
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val x2 = Approx(200.0, 2.2)
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val y2 = Approx(100.0, 2.3)
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println(((x1 - x2).pow(2.0) + (y1 - y2).pow(2.0)).pow(0.5))
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}
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