Quaternion type: Difference between revisions

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 =={{header|Julia}}==
-This is from the quaternion example file included with Julia 0.2 which implements a quaternion type complete with arithmetic, type conversions and promotion rules, and pretty-printing:
+This is from the [https://github.com/JuliaLang/julia/blob/master/examples/quaternion.jl quaternion example file] included with Julia 0.2, which implements a quaternion type complete with arithmetic, type conversions and promotion rules, and pretty-printing:
 <lang julia>import Base: promote_rule, convert
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 Example usage and output: <lang julia>julia> q = Quaternion(1,0,0,0)
-julia> x = Quaternion(0,1,1,1)
+julia> q  = Quaternion (1, 2, 3, 4)
+       q1 = Quaternion(2, 3, 4, 5)
+       q2 = Quaternion(3, 4, 5, 6)
+       r = 7.
-julia> println("q = $q")
+julia> norm(q)
+.477225575051661
-       println("q*2.0+2 = $(q*2.0+2)")
-       println("abs((-q+x*2)/4) = ", abs((-q+x*2)/4))
+julia> -q
-q = 1 + 0i + 0j + 0k
+-1 - 2i - 3j - 4k
-q*2.0+2 = 4.0 + 0.0i + 0.0j + 0.0k
-abs((-q+x*2)/4) = 0.9013878188659973</lang>
+julia> conj(q)
+- 2i - 3j - 4k
+julia> r + q, q + r
+(8.0 + 2.0i + 3.0j + 4.0k,8.0 + 2.0i + 3.0j + 4.0k)
+julia> q1 + q2
++ 7i + 9j + 11k
+julia> r*q, q*r
+(7.0 + 14.0i + 21.0j + 28.0k,7.0 + 14.0i + 21.0j + 28.0k)
+julia> q1*q2, q2*q1, q1*q2 != q2*q1
+(-56 + 16i + 24j + 26k,-56 + 18i + 20j + 28k,true)</lang>
 =={{header|Liberty BASIC}}==