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Arithmetic/Complex: Difference between revisions
Added Scala
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c = 1.0 / a
c = -a</lang>
=={{header|Scala}}==
Scala doesn't come with a Complex library, but one can be made:
<lang scala>// File Complex.scala:
package org.rosettacode.ArithmeticComplex
case class Complex(real: Double = 0.0, imag: Double = 0.0) {
private def getReal(s: String) = "[\\d.]+(?!i)".r findFirstIn s getOrElse "0" toDouble
private def getImage(s: String) = "[\\d.]+(?=i)".r findFirstIn s getOrElse "0" toDouble
def this(s: String) = this(getReal(s), getImag(s))
def +(b: Complex) = Complex(real + b.real, imag + b.imag)
def -(b: Complex) = Complex(real - b.real, imag - b.imag)
def *(b: Complex) = Complex(real * b.real - imag * b.imag, real * b.imag + imag * b.real)
def inverse = {
val denom = real * real + imag * imag
Complex(real / denom, -imag / denom)
}
def /(b: Complex) = this * b.inverse
def unary_- = Complex(-real, -imag)
override def toString = real + " + " + imag + "i"
def i = { require(imag == 0.0); Complex(imag = real) }
}
object Complex {
def apply(s: String) = new Complex(s)
}
// File package.scala:
package org.rosettacode
package object ArithmeticComplex {
val i = Complex(0, 1)
implicit def fromDouble(d: Double) = Complex(d)
implicit def fromInt(i: Int) = Complex(i.toDouble)
}</lang>
Usage example:
<lang scala>scala> import org.rosettacode.ArithmeticComplex._
import org.rosettacode.ArithmeticComplex._
scala> 1 + i
res0: org.rosettacode.ArithmeticComplex.Complex = 1.0 + 1.0i
scala> 1 + 2 * i
res1: org.rosettacode.ArithmeticComplex.Complex = 1.0 + 2.0i
scala> 2 + 1.i
res2: org.rosettacode.ArithmeticComplex.Complex = 2.0 + 1.0i
scala> res0 + res1
res3: org.rosettacode.ArithmeticComplex.Complex = 2.0 + 3.0i
scala> res1 * res2
res4: org.rosettacode.ArithmeticComplex.Complex = 0.0 + 5.0i
scala> res2 / res0
res5: org.rosettacode.ArithmeticComplex.Complex = 1.5 + -0.5i
scala> res1.inverse
res6: org.rosettacode.ArithmeticComplex.Complex = 0.2 + -0.4i
scala> -res6
res7: org.rosettacode.ArithmeticComplex.Complex = -0.2 + 0.4i
</lang>
=={{header|Scheme}}==
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