Complex conjugate: Difference between revisions
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(Delete my draft and #REDIRECT Arithmetic/Complex. I merged my own Factor and Ruby examples.) |
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#REDIRECT [[Arithmetic/Complex]] |
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{{draft task}} |
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Given a [[Arithmetic/Complex|complex number]], find its [[wp:complex conjugate|complex conjugate]]. By definition, the complex conjugate of <math>a + bi</math> is <math>a - bi</math> (where <math>a</math> and <math>b</math> are real numbers, and <math>i</math> is the square root of -1). |
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Some languages have complex number libraries available. If possible, use your library's operation for complex conjugate. |
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=={{header|Factor}}== |
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<lang factor>USING: math.functions prettyprint ; |
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C{ 2 3 } conjugate . ! prints C{ 2 -3 } |
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C{ 4 -5 } conjugate . ! prints C{ 4 5 }</lang> |
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=={{header|Ruby}}== |
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<lang ruby>require 'complex' # With Ruby 1.9, this line is optional. |
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# Complex#conj or Complex#conjugate finds the conjugate. |
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i = Complex::I |
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puts (2 + 3*i).conj # 2-3i |
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puts (4 - 5*i).conjugate # 4+5i |
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# Numeric#conj or Numeric#conjugate returns self. |
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puts 67.conjugate # 67</lang> |
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=={{header|Tcl}}== |
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{{tcllib|math::complexnumbers}} |
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<lang tcl>package require math::complexnumbers |
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namespace import math::complexnumbers::* |
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foreach x {{2 3} {4 -5} {67 0}} { |
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set c [complex {*}$x] |
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puts "[tostring $c] conjucate is [tostring [conj $c]]" |
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}</lang> |
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Produces the output |
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<pre> |
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2+3i conjucate is 2-3i |
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4-5i conjucate is 4+5i |
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67 conjucate is 67</pre> |
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Latest revision as of 20:07, 27 January 2012
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