Quaternion type: Difference between revisions
Content added Content deleted
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private def sgn(n) |
private def sgn(n) |
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n.sign == 1 ? "+ #{n}" : "- #{n.abs}" |
n.sign == 1 ? "+ #{n}" : "- #{n.abs}" |
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end |
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end |
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struct Number |
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def +(rhs : Quaternion) |
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n = self.to_i64 |
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Quaternion.new(n + rhs.a, rhs.b, rhs.c, rhs.d) |
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end |
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def *(rhs : Quaternion) |
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n = self.to_i64 |
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Quaternion.new(n * rhs.a, n * rhs.b, n * rhs.c, n * rhs.d) |
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end |
end |
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end |
end |
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puts "(conjugate of q0) * q0 = #{(q0.conj * q0).to_s}" |
puts "(conjugate of q0) * q0 = #{(q0.conj * q0).to_s}" |
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puts |
puts |
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puts "r + q0 = #{(r + q0).to_s}" |
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puts "q0 + r = #{(q0 + r).to_s}" |
puts "q0 + r = #{(q0 + r).to_s}" |
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puts |
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puts "r * q0 = #{(r * q0).to_s}" |
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puts "q0 * r = #{(q0 * r).to_s}" |
puts "q0 * r = #{(q0 * r).to_s}" |
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puts |
puts |
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(conjugate of q0) * q0 = (30 - 0i - 0j - 0k) |
(conjugate of q0) * q0 = (30 - 0i - 0j - 0k) |
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r + q0 = (8 + 2i + 3j + 4k) |
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q0 + r = (8 + 2i + 3j + 4k) |
q0 + r = (8 + 2i + 3j + 4k) |
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r * q0 = (7 + 14i + 21j + 28k) |
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q0 * r = (7 + 14i + 21j + 28k) |
q0 * r = (7 + 14i + 21j + 28k) |
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