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        <title>Quanty - documentation:language_reference:objects:complex:functions</title>
        <description></description>
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       <dc:date>2026-04-15T02:48:23+00:00</dc:date>
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        <dc:date>2025-11-20T03:20:19+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>I</title>
        <link>https://www.quanty.org/documentation/language_reference/objects/complex/functions/i?rev=1763608819&amp;do=diff</link>
        <description>I
Complex.I() returns the complex number $\mathrm{i}$.
Example
The following example sets the variable $z$ equal to $\mathrm{i}$.
Input


-- Complex.I()
z = Complex.I()
print(z)


Result


(0 + 1 I)


List of all functions in complex
functions index</description>
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        <dc:date>2025-11-20T03:20:18+00:00</dc:date>
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        <title>Im</title>
        <link>https://www.quanty.org/documentation/language_reference/objects/complex/functions/im?rev=1763608818&amp;do=diff</link>
        <description>Im
Complex.Im($z$) returns a real number equal to the complex part of $z$
Example
The following example defines $z$ as a complex number and sets $y$ equal to its imaginary part.
Input


-- Complex.Im(z)
z = 3 + 2 * I
y = Complex.Im(z)

print(&quot;z = &quot;,z)
print(&quot;y = Im[z] = &quot;,y)

functions index</description>
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        <title>Complex.New</title>
        <link>https://www.quanty.org/documentation/language_reference/objects/complex/functions/new?rev=1763608819&amp;do=diff</link>
        <description>Complex.New
Complex.New($x$,$y$) returns a complex number $z = x + \mathrm{i}\,y$.
Example
The following example creates the complex number $z=3+2\mathrm{i}$.
Input


-- Complex.New(x,y)
z = Complex.New(3,2)
print(z)


Result


(3 + 2 I)


List of all functions in complex
functions index</description>
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        <title>Re</title>
        <link>https://www.quanty.org/documentation/language_reference/objects/complex/functions/re?rev=1763608818&amp;do=diff</link>
        <description>Re
Complex.Re($z$) returns a real number equal to the real part of $z$
Example
The following example defines $z$ as a complex number and sets $x$ equal to its real part.
Input


-- Complex.Re(z)
z = 3 + 2 * I
x = Complex.Re(z)

print(&quot;z = &quot;,z)
print(&quot;x = Re[z] = &quot;,x)

functions index</description>
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        <title>Functions</title>
        <link>https://www.quanty.org/documentation/language_reference/objects/complex/functions/start?rev=1763608819&amp;do=diff</link>
        <description>Functions
The standard Lua based math library is over written and also accepts complex numbers as input. A few specific functions are added and listed below.
Available functions
functions index</description>
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