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Arithmetic/Complex: Difference between revisions
CoffeeScript
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}
}</lang>
=={{header|CoffeeScript}}==
<lang coffeescript>
# create an immutable Complex type
class Complex
constructor: (@r=0, @i=0) ->
@magnitude = @r*@r + @i*@i
plus: (c2) ->
new Complex(
@r + c2.r,
@i + c2.i
)
times: (c2) ->
new Complex(
@r*c2.r - @i*c2.i,
@r*c2.i + @i*c2.r
)
negation: ->
new Complex(
-1 * @r,
-1 * @i
)
inverse: ->
throw Error "no inverse" if @magnitude is 0
new Complex(
@r / @magnitude,
-1 * @i / @magnitude
)
toString: ->
return "#{@r}" if @i == 0
return "#{@i}i" if @r == 0
if @i > 0
"#{@r} + #{@i}i"
else
"#{@r} - #{-1 * @i}i"
# test
do ->
a = new Complex(5, 3)
b = new Complex(4, -3)
sum = a.plus b
console.log "(#{a}) + (#{b}) = #{sum}"
product = a.times b
console.log "(#{a}) * (#{b}) = #{product}"
negation = b.negation()
console.log "-1 * (#{b}) = #{negation}"
diff = a.plus negation
console.log "(#{a}) - (#{b}) = #{diff}"
inverse = b.inverse()
console.log "1 / (#{b}) = #{inverse}"
quotient = product.times inverse
console.log "(#{product}) / (#{b}) = #{quotient}"
</lang>
=={{header|Common Lisp}}==
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