Quaternion type: Difference between revisions
Added Easylang
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(Added Easylang) |
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? q1+(-2)
# value: (0 + 3i + 4j + 5k)</syntaxhighlight>
=={{header|EasyLang}}==
<syntaxhighlight>
func qnorm q[] .
for i to 4
s += q[i] * q[i]
.
return sqrt s
.
func[] qneg q[] .
for i to 4
q[i] = -q[i]
.
return q[]
.
func[] qconj q[] .
for i = 2 to 4
q[i] = -q[i]
.
return q[]
.
func[] qaddreal q[] r .
q[1] += r
return q[]
.
func[] qadd q[] q2[] .
for i to 4
q[i] += q2[i]
.
return q[]
.
func[] qmulreal q[] r .
for i to 4
q[i] *= r
.
return q[]
.
func[] qmul q1[] q2[] .
res[] &= q1[1] * q2[1] - q1[2] * q2[2] - q1[3] * q2[3] - q1[4] * q2[4]
res[] &= q1[1] * q2[2] + q1[2] * q2[1] + q1[3] * q2[4] - q1[4] * q2[3]
res[] &= q1[1] * q2[3] - q1[2] * q2[4] + q1[3] * q2[1] + q1[4] * q2[2]
res[] &= q1[1] * q2[4] + q1[2] * q2[3] - q1[3] * q2[2] + q1[4] * q2[1]
return res[]
.
q[] = [ 1 2 3 4 ]
q1[] = [ 2 3 4 5 ]
q2[] = [ 3 4 5 6 ]
r = 7
#
print "q = " & q[]
print "q1 = " & q1[]
print "q2 = " & q2[]
print "r = " & r
print "norm(q) = " & qnorm q[]
print "neg(q) = " & qneg q[]
print "conjugate(q) = " & qconj q[]
print "q+r = " & qaddreal q[] r
print "q1+q2 = " & qadd q1[] q2[]
print "qr = " & qmulreal q[] r
print "q1q2 = " & qmul q1[] q2[]
print "q2q1 = " & qmul q2[] q1[]
if q1[] <> q2[]
print "q1 != q2"
.
</syntaxhighlight>
{{out}}
<pre>
q = [ 1 2 3 4 ]
q1 = [ 2 3 4 5 ]
q2 = [ 3 4 5 6 ]
r = 7
norm(q) = 5.48
neg(q) = [ -1 -2 -3 -4 ]
conjugate(q) = [ 1 -2 -3 -4 ]
q+r = [ 8 2 3 4 ]
q1+q2 = [ 5 7 9 11 ]
qr = [ 7 14 21 28 ]
q1q2 = [ -56 16 24 26 ]
q2q1 = [ -56 18 20 28 ]
q1 != q2
</pre>
=={{header|Eero}}==
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