Quaternion type: Difference between revisions
added Arturo
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Drkameleon (talk | contribs) (added Arturo) |
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q2q1:(-56.0, 18.0, 20.0, 28.0)
</pre>
=={{header|Arturo}}==
<syntaxhighlight lang="arturo">qnorm: $ => [sqrt fold & [x y] -> x + y*y]
qneg: $ => [map & => neg]
qconj: $[q] [@[q\0] ++ qneg drop q 1]
qaddr: function [q r][
[a b c d]: q
@[a+r b c d]
]
qadd: $ => [map couple & & => sum]
qmulr: $[q r] [map q'x -> x*r]
qmul: function [q1 q2][
[a1 b1 c1 d1]: q1
[a2 b2 c2 d2]: q2
@[
(((a1*a2) - b1*b2) - c1*c2) - d1*d2,
(((a1*b2) + b1*a2) + c1*d2) - d1*c2,
(((a1*c2) - b1*d2) + c1*a2) + d1*b2,
(((a1*d2) + b1*c2) - c1*b2) + d1*a2
]
]
; --- test quaternions ---
q: [1 2 3 4]
q1: [2 3 4 5]
q2: [3 4 5 6]
r: 7
print ['qnorm q '= qnorm q]
print ['qneg q '= qneg q]
print ['qconj q '= qconj q]
print ['qaddr q r '= qaddr q r]
print ['qmulr q r '= qmulr q r]
print ['qadd q1 q2 '= qadd q1 q2]
print ['qmul q1 q2 '= qmul q1 q2]
print ['qmul q2 q1 '= qmul q2 q1]</syntaxhighlight>
{{out}}
<pre>qnorm [1 2 3 4] = 5.477225575051661
qneg [1 2 3 4] = [-1 -2 -3 -4]
qconj [1 2 3 4] = [1 -2 -3 -4]
qaddr [1 2 3 4] 7 = [8 2 3 4]
qmulr [1 2 3 4] 7 = [7 14 21 28]
qadd [2 3 4 5] [3 4 5 6] = [5 7 9 11]
qmul [2 3 4 5] [3 4 5 6] = [-56 16 24 26]
qmul [3 4 5 6] [2 3 4 5] = [-56 18 20 28]</pre>
=={{header|AutoHotkey}}==
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