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{{Infobox array language
{{Infobox array language
| logo                    = [[File:APLX logo.png]]
| array model              = [[nested array model|nested]]
| array model              = [[nested array model|nested]]
| index origin            = 0 or 1
| index origin            = 0 or 1
| function styles          = [[tradfn]]
| function styles          = [[Defined function|defined]]
| numeric types            = floats
| numeric types            = floats
| unicode support          = no
| unicode support          = no
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| developer                = [[MicroAPL Ltd.]]
| developer                = [[MicroAPL Ltd.]]
| latest release version  = 5.1 / 2016
| latest release version  = 5.1 / 2016
| implementation languages = [https://en.wikipedia.org/wiki/C_(programming_language) C], [https://en.wikipedia.org/wiki/C%2B%2B C++]
| implementation languages = [[wikipedia:C_(programming_language)|C]], [[wikipedia:C++|C++]]
| platforms                = x86, x86_64
| platforms                = x86
| operating systems        = Windows, Linux, macOS
| operating systems        = Windows, Linux, macOS High Sierra and earlier
| license                  = Free / Proprietary software
| license                  = Free / Proprietary software
| website                  = [http://microapl.com/apl/ microapl.com/apl]
| website                  = [http://microapl.com/apl/ microapl.com/apl]
| forum                    = [https://www.tapatalk.com/groups/microapl/ Support forum for APLX]
| download                = [http://www.dyalog.com/aplx.htm dyalog.com/aplx.htm]
| download                = [http://www.dyalog.com/aplx.htm dyalog.com/aplx.htm]
| file ext                = .aws
| file ext                = .aws
| documentation            = [http://www.dyalog.com/aplx.htm#APLXDocs APLX Documentation]
| documentation            = [http://www.dyalog.com/aplx.htm#APLXDocs APLX Documentation]
| influenced by            = [[APL2]]
| influenced by            = [[APL/700]], [[APL.68000]], [[APL2]]
}}
}}
'''APLX''' was a cross-platform dialect of the programming language APL, created by British company [[MicroAPL Ltd.]], as a successor to their [[APL.68000]] product.
'''APLX''' was a cross-platform dialect of the programming language APL, created by British company [[MicroAPL Ltd.]], as a successor to their [[APL.68000]] product.


APLX is intended for uses such as financial planning, market research, statistics, management information, and various kinds of scientific and engineering work. APLX is based on [[IBM]]'s [[APL2]], but includes several extensions. APLX version 3 was released in April and May 2005. It is available on Microsoft Windows, Linux, and macOS. Though APLX keeps APL's extended character set, APLX is a bit more verbose, due to the prevalence of system functions with long names, and the use of structured-control keywords. The use of explicit loops is a major deviation from earlier APL versions and derivatives.
APLX is intended for uses such as financial planning, market research, statistics, management information, and various kinds of scientific and engineering work. APLX is based on [[IBM]]'s [[APL2]], but includes several extensions. It is available on Microsoft Windows, Linux, and macOS. Though APLX keeps APL's extended character set, APLX is a bit more verbose, due to the prevalence of system functions with long names, and the use of structured-control keywords. The use of explicit loops is a major deviation from earlier APL versions and derivatives.


Effective July 11, 2016, MicroAPL withdrew APLX from commercial sale. British firm [[Dyalog]], authors of [[Dyalog APL]], began hosting the APLX Archive website including the download area and documentation.
Effective July 11, 2016, MicroAPL withdrew APLX from commercial sale. British firm [[Dyalog Ltd.]], authors of [[Dyalog APL]], began hosting the APLX Archive website including the download area and documentation.


== Primitives ==
== Primitives ==
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{| class=wikitable
{| class=wikitable
! Glyph         !! Monadic              !! Dyadic
! Glyph                             !! Monadic              !! Axis !! Dyadic                               !! Axis
|-
|-
| <code>+</code> || [[Conjugate]]        || [[Add]]
| <syntaxhighlight lang=apl inline>+</syntaxhighlight> || [[Conjugate]]        ||      || [[Add]]                               || vec
|-
|-
| <code>-</code> || [[Negate]]            || [[Subtract]]
| <syntaxhighlight lang=apl inline>-</syntaxhighlight> || [[Negate]]            ||      || [[Subtract]]                         || vec
|-
|-
| <code>×</code> || [[Sign of]]          || [[Multiply]]
| <syntaxhighlight lang=apl inline>×</syntaxhighlight> || [[Sign of]]          ||      || [[Multiply]]                         || vec
|-
|-
| <code>÷</code> || [[Reciprocal]]        || [[Divide]]
| <syntaxhighlight lang=apl inline>÷</syntaxhighlight> || [[Reciprocal]]        ||      || [[Divide]]                           || vec
|-
|-
| <code>⌈</code> || [[Ceiling]]          || [[Maximum|Greater of]]
| <syntaxhighlight lang=apl inline>⌈</syntaxhighlight> || [[Ceiling]]          ||      || [[Maximum|Greater of]]               || vec
|-
|-
| <code>⌊</code> || [[Floor]]            || [[Minimum|Lesser of]]
| <syntaxhighlight lang=apl inline>⌊</syntaxhighlight> || [[Floor]]            ||      || [[Minimum|Lesser of]]                 || vec
|-
|-
| <code><nowiki>|</nowiki></code> || [[Absolute value]]    || [[Residue]]
| <syntaxhighlight lang=apl inline>|</syntaxhighlight> || [[Absolute value]]    ||      || [[Residue]]                           || vec
|-
|-
| <code>⍳</code> || [[Iota|Index list]]   || [[Index of]]
| <syntaxhighlight lang=apl inline>⍳</syntaxhighlight> || [[Index list]]       ||      || [[Index of]]                         ||
|-
|-
| <code>?</code> || [[Roll]]              || [[Deal]]
| <syntaxhighlight lang=apl inline>?</syntaxhighlight> || [[Roll]]              ||     || [[Deal]]                             ||
|-⌹
| <code>*</code> || [[Exponential]]       || [[Power function|To the power of]]
|-
|-
| <code></code> || [[Natural log]]      || [[Logarithm|Log to the base]]
| <syntaxhighlight lang=apl inline>*</syntaxhighlight> || [[Exponential]]      ||      || [[Power function|To the power of]]   || vec
|-
|-
| <code></code> || [[Pi times]]         || [[Circle function|Circular and Hyperbolic functions]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> || [[Natural log]]       ||      || [[Logarithm|Log to the base]]         || vec
|-
|-
| <code>!</code> || [[Factorial]]         || [[Binomial]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> || [[Pi times]]         ||      || [[Circle function|Circular and Hyperbolic functions]] || vec
|-
|-
| <code></code> || [[Matrix inverse]]   || [[Matrix divide]]
| <syntaxhighlight lang=apl inline>!</syntaxhighlight> || [[Factorial]]         ||      || [[Binomial]]                         || vec
|-
|-
| <code><</code> ||                       || [[Less than]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> || [[Matrix inverse]]    ||      || [[Matrix divide]]                     ||
|-
|-
| <code></code> ||                      || [[Less than or equal]]
| <syntaxhighlight lang=apl inline><</syntaxhighlight> ||                      ||      || [[Less than]]                         || vec
|-
|-
| <code>=</code> ||                      || [[Equal]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||                      ||      || [[Less than or equal]]               || vec
|-
|-
| <code></code> ||                      || [[Greater than or equal]]
| <syntaxhighlight lang=apl inline>=</syntaxhighlight> ||                      ||      || [[Equal]]                             || vec
|-
|-
| <code>></code> ||                      || [[Greater than]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||                      ||      || [[Greater than or equal]]             || vec
|-
|-
| <code></code> ||                      || [[Not equal]]
| <syntaxhighlight lang=apl inline>></syntaxhighlight> ||                      ||      || [[Greater than]]                     || vec
|-
|-
| <code></code> || [[Depth]]             || [[Match]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||                      ||      || [[Not equal]]                         || vec
|-
|-
| <code></code> ||                       || [[Not Match]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> || [[Depth]]            ||      || [[Match]]                             ||
|-
|-
| <code></code> || [[Enlist]]           || [[Membership]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||                      ||      || [[Not Match]]                         ||
|-
|-
| <code></code> ||                       || [[Find]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> || [[Enlist]]            ||      || [[Membership]]                       ||
|-
|-
| <code></code> || [[Unique]]           || [[Union]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||                      ||      || [[Find]]                             ||
|-
|-
| <code></code> ||                       || [[Intersection]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> || [[Unique]]            ||      || [[Union]]                             ||
|-
|-
| <code>~</code> || [[Not]]               || [[Without]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||                      ||      || [[Intersection]]                     ||
|-
|-
| <code></code> ||                      || [[Or]]
| <syntaxhighlight lang=apl inline>~</syntaxhighlight> || [[Not]]               ||     || [[Without]]                           ||
|-⌹
| <code>^</code> ||                      || [[And]]
|-
|-
| <code></code> ||                      || [[Nor]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||                      ||      || [[Or]]                               ||
|-
|-
| <code></code> ||                      || [[Nand]]
| <syntaxhighlight lang=apl inline>^</syntaxhighlight> ||                      ||      || [[And]]                               ||
|-
|-
| <code></code> || [[Shape|Shape of]]    || [[Reshape]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||                       ||     || [[Nor]]                               ||
|-
|-
| <code>,</code> || [[Ravel]]            || [[Catenate|Catenate, Laminate]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||                       ||      || [[Nand]]                             ||
|-⌹
| <code>⍪</code> ||                      || [[Catenate First|1st axis catenate]]
|-
|-
| <code></code> || [[Reverse]]           || [[Rotate]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> || [[Shape|Shape of]]   ||      || [[Reshape]]                           ||
|-
|-
| <code></code> || [[Reverse First]]     || [[Rotate First|1st axis rotate]]
| <syntaxhighlight lang=apl inline>,</syntaxhighlight> || [[Ravel]]         || vec,frac || [[Catenate|Catenate, Laminate]]       ||
|-
|-
| <code></code> ||colspan=2| [[Transpose]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||                       ||      || [[Catenate First|1st axis catenate]] ||
|-
|-
| <code></code> || [[First]]             || [[Take]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> || [[Reverse]]           || scal || [[Rotate]]                           || scal
|-
|-
| <code></code> ||                       || [[Drop]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> || [[Reverse First]]    || scal || [[Rotate First|1st axis rotate]]     || scal
|-
|-
| <code></code> || [[Enclose]]          || [[Partition]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||colspan=4| [[Transpose]]
|-
|-
| <code></code> || Disclose ([[Mix]])    || [[Pick]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> || [[First]]             ||      || [[Take]]                             || vec
|-
|-
| <code></code> ||                      || [[Squad Index|Index]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||                      ||      || [[Drop]]                             || vec
|-
|-
| <code></code> ||colspan=2| [[Grade up]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> || [[Enclose]]          || vec  || [[Partition]]                         || scal
|-
|-
| <code></code> ||colspan=2| [[Grade down]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> || [[Disclose]]          || vec  || [[Pick]]                             ||
|-
|-
| <code></code> ||                      || [[Encode]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||                      ||      || [[Squad Index|Index]]                 || vec
|-
|-
| <code></code> ||                       || [[Decode]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||colspan=4| [[Grade up]]
|-
|-
| <code></code> ||                       || Picture format
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||colspan=4| [[Grade down]]
|-
|-
| <code></code> || [[Format]]           || [[Dyadic format|Format]] by specification or by example
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||                      ||      || [[Encode]]                           ||
|-
|-
| <code></code> ||                      || [[Execute]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||                      ||      || [[Decode]]                           ||
|-
|-
| <code></code> || [[Stop]]              || [[Left Identity|Left]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||                       ||     || Picture format                        ||
|-
|-
| <code></code> || [[Identity|Pass]]     || [[Right Identity|Right]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> || [[Format]]           ||      || [[Dyadic format|Format]] by specification or by example ||
|-
|-
| <code>/</code> ||                      || [[Compress]], [[Replicate]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> ||                      ||      || [[Execute]]                           ||
|-
|-
| <code></code> ||                       || [[Replicate First|1st axis compress/replicate]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> || [[Stop]]              ||      || [[Left Identity|Left]]               ||
|-
|-
| <code>\</code> ||                       || [[Expand]]
| <syntaxhighlight lang=apl inline></syntaxhighlight> || [[Identity|Pass]]    ||      || [[Right Identity|Right]]             ||
|-
|-
| <code>⍀</code> ||                      || [[Expand First|1st axis expand]]
| <syntaxhighlight lang=apl inline>/</syntaxhighlight> ||                      ||      || [[Compress]], [[Replicate]]          || scal
|-
| <syntaxhighlight lang=apl inline>⌿</syntaxhighlight> ||                      ||      || [[Replicate First|1st axis compress/replicate]] || scal
|-
| <syntaxhighlight lang=apl inline>\</syntaxhighlight> ||                      ||      || [[Expand]]                            || scal
|-
| <syntaxhighlight lang=apl inline>⍀</syntaxhighlight> ||                      ||      || [[Expand First|1st axis expand]]     || scal
|}
|}
In addition, a few primitives for component file operations were taken from or inspired by [[APL/700]].


=== Operators ===
=== Operators ===
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! Glyph          !! Valence !! Monadic call                    !! Dyadic call
! Glyph          !! Valence !! Monadic call                    !! Dyadic call
|-
|-
| <code>/</code>  || Monadic || [[Reduce]]                      || [[N-wise Reduce]]
| <syntaxhighlight lang=apl inline>/</syntaxhighlight>  || Monadic || [[Reduce]]                      || [[N-wise Reduce]]
|-
|-
| <code>⌿</code>  || Monadic || [[Reduce First|1st axis reduce]] || [[N-wise Reduce first]]
| <syntaxhighlight lang=apl inline>⌿</syntaxhighlight>  || Monadic || [[Reduce First|1st axis reduce]] || [[N-wise Reduce first]]
|-
|-
| <code>\</code>  || Monadic || [[Scan]]                        ||
| <syntaxhighlight lang=apl inline>\</syntaxhighlight>  || Monadic || [[Scan]]                        ||
|-
|-
| <code>⍀</code>  || Monadic || [[Scan First|1st axis scan]]    ||
| <syntaxhighlight lang=apl inline>⍀</syntaxhighlight>  || Monadic || [[Scan First|1st axis scan]]    ||
|-
|-
| <code>.</code>  || Dyadic  ||                                  || [[Inner product]]
| <syntaxhighlight lang=apl inline>.</syntaxhighlight>  || Dyadic  ||                                  || [[Inner product]]
|-
|-
| <code>∘.</code> || Monadic ||                                  || [[Outer product]]
| <syntaxhighlight lang=apl inline>∘.</syntaxhighlight> || Monadic ||                                  || [[Outer product]]
|-
|-
| <code>¨</code>  || Monadic ||colspan=2| [[Each]]
| <syntaxhighlight lang=apl inline>¨</syntaxhighlight>  || Monadic ||colspan=2| [[Each]]
|}
|}


== External links ==
== External links ==


* [http://www.dyalog.com/aplx.htm Download APLX]
* [http://www.dyalog.com/aplx.htm APLX Archive]
* [https://dyalog.github.io/aplx/ Tools to help migrate from APLX to Dyalog APL]
* [https://dyalog.github.io/aplx/ Tools to help migrate from APLX to Dyalog APL]


{{APL programming language}}
{{APL dialects}}[[Category:APL dialects]][[Category:Nested array languages]]

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