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Ingy döt Net 2023-07-01 11:58:00 -04:00
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# Four ways to write complex numbers:
a = Complex(1, 1) # 1. call Kernel#Complex
i = Complex::I # 2. use Complex::I
b = 3.14159 + 1.25 * i
c = '1/2+3/4i'.to_c # 3. Use the .to_c method from String, result ((1/2)+(3/4)*i)
c = 1.0/2+3/4i # (0.5-(3/4)*i)
# Operations:
puts a + b # addition
puts a * b # multiplication
puts -a # negation
puts 1.quo a # multiplicative inverse
puts a.conjugate # complex conjugate
puts a.conj # alias for complex conjugate

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# Other ways to find the multiplicative inverse:
puts 1.quo a # always works
puts 1.0 / a # works, but forces floating-point math
puts 1 / a # might truncate to integer