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The Quaternion class represents a of the form a + b*i + c*j + d*k, where a, b, c, and d are real numbers; and i, j, and k are the basic quaternions.
Quaternion
a + b*i + c*j + d*k
a
b
c
d
i
j
k
var a = Quaternion(1,2,3,4) var b = Quaternion(5,6,7,8) say a+b #=> Quaternion(6, 8, 10, 12) say a-b #=> Quaternion(-4, -4, -4, -4) say a*b #=> Quaternion(-60, 12, 30, 24) say b*a #=> Quaternion(-60, 20, 14, 32) say a/b #=> Quaternion(35/87, 4/87, 0, 8/87) say a**5 #=> Quaternion(3916, 1112, 1668, 2224) say a.powmod(43, 97) #=> Quaternion(61, 38, 57, 76) say a.powmod(-5, 43) #=> Quaternion(11, 22, 33, 1)