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(Created page with "{{Built-in|Imaginary|⌾}} is a monadic scalar function which multiplies the argument by the imaginary unit <source lang=apl inline>0J1</source>. This can be seen...") |
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{{Built-in|Imaginary|⌾}} is a [[monadic]] [[scalar function]] which multiplies the [[argument]] by the imaginary unit <source lang=apl inline>0J1</source>. This can be seen as a mapping from a real number to a pure imaginary number (a [[complex number]] with the real part of 0). It was added to [[J]] as <source lang=j inline>j.</source> together with initial support for complex numbers, and was adopted in [[Extended Dyalog APL]] using the [[glyph]] <source lang=apl inline>⌾</source> as a monadic counterpart of [[Complex]]. In other APL implementations that support complex numbers, [[Circular]] with the left argument of <source lang=apl inline>¯11</source> has the same functionality as Imaginary. | {{Built-in|Imaginary|⌾}} is a [[monadic]] [[scalar function]] which multiplies the [[argument]] by the imaginary unit <source lang=apl inline>0J1</source>. This can be seen as a mapping from a real number to a pure imaginary number (a [[complex number]] with the real part of 0). It was added to [[J]] as <source lang=j inline>j.</source> together with initial support for complex numbers, and was adopted in [[Extended Dyalog APL]] using the [[glyph]] <source lang=apl inline>⌾</source> as a monadic counterpart of [[Complex (function)|Complex]]. In other APL implementations that support complex numbers, [[Circular]] with the left argument of <source lang=apl inline>¯11</source> has the same functionality as Imaginary. | ||
== Examples == | == Examples == | ||
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[https://tio.run/##SyzI0U2pTMzJT9dNrShJzUtJTfn//1Hf1EdtEx717FMwVji03kTB7P9/AA Try it online!]<source lang=apl> | [https://tio.run/##SyzI0U2pTMzJT9dNrShJzUtJTfn//1Hf1EdtEx717FMwVji03kTB7P9/AA Try it online!]<source lang=apl> | ||
⌾ 3 ¯4 6 | ⌾ 3 ¯4 6 | ||
0J3 0J¯4 0J6 | |||
</source>{{Works in|[[Extended Dyalog APL]]}} | |||
Imaginary is equivalent to [[Complex (function)|Complex]] with the default left argument of 0. | |||
[https://tio.run/##SyzI0U2pTMzJT9dNrShJzUtJTfn//1Hf1EdtEwwUHvXsUzBWOLTeRMHs/38A Try it online!]<source lang=apl> | |||
0 ⌾ 3 ¯4 6 | |||
0J3 0J¯4 0J6 | 0J3 0J¯4 0J6 | ||
</source>{{Works in|[[Extended Dyalog APL]]}} | </source>{{Works in|[[Extended Dyalog APL]]}} | ||