Consistent Extensions in NARS2000 - Revision history

Paul Robinson: /* Session Manager */

2019-10-13T21:20:13Z

Session Manager

← Older revision		Revision as of 17:20, 13 October 2019
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	* [[Session_Manager\|Multilevel Undo]] in function editing		* [[Session_Manager\|Multilevel Undo]] in function editing
	* Undo buffer saved with function for reuse on next edit		* Undo buffer saved with function for reuse on next edit


			[[Category:Features]]

WikiSysop: /* Miscellaneous Syntax */

2019-08-12T14:09:14Z

Miscellaneous Syntax

← Older revision		Revision as of 10:09, 12 August 2019
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	== Miscellaneous Syntax ==		== Miscellaneous Syntax ==
	* [[Strand_Assignment\|Strand Assignment]]: A sequence of names enclosed in parentheses can be assigned to. For example, <apll>(A B)←1 2</apll> is the same as <apll>A←1</apll> followed by <apll>B←2</apll>.		* [[Strand_Assignment\|Strand Assignment]]: A sequence of names enclosed in parentheses can be assigned to. For example, <apll>(A B)←1 2</apll> is the same as <apll>A←1</apll> followed by <apll>B←2</apll>.
	* [[~~Modify_Assignment~~\|~~Modify~~ Assignment]]: An arbitrary (primitive or user-defined) dyadic function may appear immediately to the left of an assignment arrow. For example, <apll>A<i>f</i>←1</apll> is the same as <apll>A←A<i>f</i> 1</apll>, and <apll>A[L]<i>f</i>←1</apll> is the same as <apll>A[L]←A[L]<i>f</i> 1</apll>.		* [[Modified_Assignment\|Modified Assignment]]: An arbitrary (primitive or user-defined) dyadic function may appear immediately to the left of an assignment arrow. For example, <apll>A<i>f</i>←1</apll> is the same as <apll>A←A<i>f¨</i> 1</apll>, and <apll>A[L]<i>f</i>←1</apll> is the same as <apll>A[L]←A[L]<i>f¨</i> 1</apll>.
	* [[Modify_Strand_Assignment\|Modify Strand Assignment]]: An arbitrary (primitive or user-defined) dyadic function may appear immediately to the left of the assignment arrow used in Strand Assignment (e.g. <apll>(A B)<i>f</i>←1 2</apll> is the same as <apll>A←A<i>f</i> 1</apll> followed by <apll>B←B<i>f</i> 2</apll>).		* [[Modify_Strand_Assignment\|Modify Strand Assignment]]: An arbitrary (primitive or user-defined) dyadic function may appear immediately to the left of the assignment arrow used in Strand Assignment (e.g. <apll>(A B)<i>f</i>←1 2</apll> is the same as <apll>A←A<i>f</i> 1</apll> followed by <apll>B←B<i>f</i> 2</apll>).
	* [[Function/Operator/Hyperator_Assignment\|Function/operator/hyperator assignment]]: A primitive function, operator, or derived function may be assigned to any available name (e.g., <apll>F←⍋</apll>, or <apll>F←¨</apll>, or <apll>F←∘</apll>, or <apll>F←+.×</apll>).		* [[Function/Operator/Hyperator_Assignment\|Function/operator/hyperator assignment]]: A primitive function, operator, or derived function may be assigned to any available name (e.g., <apll>F←⍋</apll>, or <apll>F←¨</apll>, or <apll>F←∘</apll>, or <apll>F←+.×</apll>).

WikiSysop: /* Language Features */

2019-03-19T14:01:06Z

Language Features

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	* [[Sequence]]: Primitive dyadic function (<apll>L..R</apll>) (Sequence).		* [[Sequence]]: Primitive dyadic function (<apll>L..R</apll>) (Sequence).
	* [[Variant]]: Primitive dyadic operator quad colon (<apll>f⍠V R</apll> and <apll>L f⍠V R</apll>) (Variant).		* [[Variant]]: Primitive dyadic operator quad colon (<apll>f⍠V R</apll> and <apll>L f⍠V R</apll>) (Variant).
	* [[Anonymous Functions/Operators]]: one-line grouping of one or more statements all enclosed in braces such as <apll>{(+⌿⍵)÷≢⍵}</apll>.		* [[Anonymous Functions/Operators/Hyperators]]: one-line grouping of one or more statements all enclosed in braces such as <apll>{(+⌿⍵)÷≢⍵}</apll>.
	* [[Determinant]]: Primitive dyadic operator (<apll>f.g R</apll>) (Determinant Operator).		* [[Determinant]]: Primitive dyadic operator (<apll>f.g R</apll>) (Determinant Operator).
	* [[Convolution]]: Primitive dyadic operator (<apll>L f⍡g R</apll>) (Convolution Operator).		* [[Convolution]]: Primitive dyadic operator (<apll>L f⍡g R</apll>) (Convolution Operator).

WikiSysop: /* Miscellaneous Syntax */

2019-03-10T01:00:42Z

Miscellaneous Syntax

WikiSysop at 00:52, 10 March 2019

2019-03-10T00:52:16Z

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	* [[User-Defined_Functions/Operators/Hyperators\|Strand left and right arguments and result to user-defined functions/operators]] along with optional left argument may be specified: For example, a strand right argument may be specified as <apll>∇ Z←FOO (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll> or, more fully, with a non-displayable result and strands used in all of the result, left, and right arguments with an optional left argument may be specified as <apll>∇ (Z<sub>1</sub> Z<sub>2</sub>)←{L<sub>1</sub> L<sub>2</sub> L<sub>3</sub>} (LO OP2[X] RO) (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll>.		* [[User-Defined_Functions/Operators/Hyperators\|Strand left and right arguments and result to user-defined functions/operators]] along with optional left argument may be specified: For example, a strand right argument may be specified as <apll>∇ Z←FOO (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll> or, more fully, with a non-displayable result and strands used in all of the result, left, and right arguments with an optional left argument may be specified as <apll>∇ (Z<sub>1</sub> Z<sub>2</sub>)←{L<sub>1</sub> L<sub>2</sub> L<sub>3</sub>} (LO OP2[X] RO) (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll>.
	* Note that braces are '''required''' to surround the left argument of an ambivalent function as in <apll>∇ Z←{L} FOO R</apll>.		* Note that braces are '''required''' to surround the left argument of an ambivalent function as in <apll>∇ Z←{L} FOO R</apll>.
	* [[User-Defined_Functions/Operators\|The result of a user-defined function/operator]] may be marked as non-displayable by enclosing it in braces, as in <apll>∇ {Z}←FOO R</apll>. If the result part of the header consists of multiple names, either <apll>∇ {Z<sub>1</sub> Z<sub>2</sub>}←FOO R</apll> or <apll>∇ ({Z<sub>1</sub> Z<sub>2</sub>})←FOO R</apll> or <apll>∇ {(Z<sub>1</sub> Z<sub>2</sub>)}←FOO R</apll> may be used to mark the result as non-displayable.		* [[User-Defined_Functions/Operators/Hyperators\|The result of a user-defined function/operator]] may be marked as non-displayable by enclosing it in braces, as in <apll>∇ {Z}←FOO R</apll>. If the result part of the header consists of multiple names, either <apll>∇ {Z<sub>1</sub> Z<sub>2</sub>}←FOO R</apll> or <apll>∇ ({Z<sub>1</sub> Z<sub>2</sub>})←FOO R</apll> or <apll>∇ {(Z<sub>1</sub> Z<sub>2</sub>)}←FOO R</apll> may be used to mark the result as non-displayable.
	* [[Control_Structures\|Control structures]] on one line or split across multiple lines (e.g., <apll>:for I :in ⍳N ⋄ ... ⋄ :endfor</apll>).		* [[Control_Structures\|Control structures]] on one line or split across multiple lines (e.g., <apll>:for I :in ⍳N ⋄ ... ⋄ :endfor</apll>).
	* [[Point_Notation\|Point Notation]] (<b>Base</b>, <b>Euler</b>, <b>Pi</b>, and <b>Gamma</b>) are extensions to the familiar <b>Decimal</b> and <b>Exponential</b> Point Notation for entering numeric constants. For example, the numeric constant <apll>16bffff</apll> is a shorthand for calculating <apll>16⊥15 15 15 15</apll>.		* [[Point_Notation\|Point Notation]] (<b>Base</b>, <b>Euler</b>, <b>Pi</b>, and <b>Gamma</b>) are extensions to the familiar <b>Decimal</b> and <b>Exponential</b> Point Notation for entering numeric constants. For example, the numeric constant <apll>16bffff</apll> is a shorthand for calculating <apll>16⊥15 15 15 15</apll>.

WikiSysop: /* Miscellaneous Syntax */

2019-03-10T00:46:01Z

Miscellaneous Syntax

← Older revision		Revision as of 20:46, 9 March 2019
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	* [[Axis\|Axis operator with the dyadic derived function from the Each operator]]: As with primitive scalar dyadic functions, the axis operator indicates how the coordinates of the lower rank argument map to the coordinates of the higher rank argument. For example, <apll>(2 3⍴L)⍴¨[1 2] 2 3 4⍴R</apll> is equivalent to <apll>(3 1 2⍉4⌿1 2 3⍴L)⍴¨2 3 4⍴R</apll>.		* [[Axis\|Axis operator with the dyadic derived function from the Each operator]]: As with primitive scalar dyadic functions, the axis operator indicates how the coordinates of the lower rank argument map to the coordinates of the higher rank argument. For example, <apll>(2 3⍴L)⍴¨[1 2] 2 3 4⍴R</apll> is equivalent to <apll>(3 1 2⍉4⌿1 2 3⍴L)⍴¨2 3 4⍴R</apll>.
	* [[Axis\|Axis operator to Ravel]]: The order of the values in the axis operator brackets is significant, and may transpose coordinates in the right argument before mapping the values to the result. For example, <apll>,[2 1] R</apll> and <apll>,[1 2] R</apll> are both valid and have the same shape and values but, in general, the values are in a different order.		* [[Axis\|Axis operator to Ravel]]: The order of the values in the axis operator brackets is significant, and may transpose coordinates in the right argument before mapping the values to the result. For example, <apll>,[2 1] R</apll> and <apll>,[1 2] R</apll> are both valid and have the same shape and values but, in general, the values are in a different order.
	* [[Axis\|Axis operator with user-defined functions/operators]]: A user-defined function/operator may be sensitive to the axis operator in the same way various primitive functions and operators are. For example, <apll>FOO[2 3] R</apll> is valid if the function header is defined as <apll>∇ Z←FOO[X] R</apll>.		* [[Axis\|Axis operator with user-defined functions/operators/hyperators]]: A user-defined function/operator may be sensitive to the axis operator in the same way various primitive functions and operators are. For example, <apll>FOO[2 3] R</apll> is valid if the function header is defined as <apll>∇ Z←FOO[X] R</apll>.
	* [[Axis\|Axis operator values may be negative]]: That is, if the largest allowed value is <apll>N</apll>, then the allowable range for axis operator values is <apll>1 ¯1[1]-N</apll> to <apll>N</apll>, inclusive.		* [[Axis\|Axis operator values may be negative]]: That is, if the largest allowed value is <apll>N</apll>, then the allowable range for axis operator values is <apll>1 ¯1[1]-N</apll> to <apll>N</apll>, inclusive.
	* [[User-Defined_Functions/Operators\|Strand left and right arguments and result to user-defined functions/operators]] along with optional left argument may be specified: For example, a strand right argument may be specified as <apll>∇ Z←FOO (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll> or, more fully, with a non-displayable result and strands used in all of the result, left, and right arguments with an optional left argument may be specified as <apll>∇ (Z<sub>1</sub> Z<sub>2</sub>)←{L<sub>1</sub> L<sub>2</sub> L<sub>3</sub>} (LO OP2[X] RO) (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll>.		* [[User-Defined_Functions/Operators/Hyperators\|Strand left and right arguments and result to user-defined functions/operators]] along with optional left argument may be specified: For example, a strand right argument may be specified as <apll>∇ Z←FOO (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll> or, more fully, with a non-displayable result and strands used in all of the result, left, and right arguments with an optional left argument may be specified as <apll>∇ (Z<sub>1</sub> Z<sub>2</sub>)←{L<sub>1</sub> L<sub>2</sub> L<sub>3</sub>} (LO OP2[X] RO) (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll>.
	* Note that braces are '''required''' to surround the left argument of an ambivalent function as in <apll>∇ Z←{L} FOO R</apll>.		* Note that braces are '''required''' to surround the left argument of an ambivalent function as in <apll>∇ Z←{L} FOO R</apll>.
	* [[User-Defined_Functions/Operators\|The result of a user-defined function/operator]] may be marked as non-displayable by enclosing it in braces, as in <apll>∇ {Z}←FOO R</apll>. If the result part of the header consists of multiple names, either <apll>∇ {Z<sub>1</sub> Z<sub>2</sub>}←FOO R</apll> or <apll>∇ ({Z<sub>1</sub> Z<sub>2</sub>})←FOO R</apll> or <apll>∇ {(Z<sub>1</sub> Z<sub>2</sub>)}←FOO R</apll> may be used to mark the result as non-displayable.		* [[User-Defined_Functions/Operators\|The result of a user-defined function/operator]] may be marked as non-displayable by enclosing it in braces, as in <apll>∇ {Z}←FOO R</apll>. If the result part of the header consists of multiple names, either <apll>∇ {Z<sub>1</sub> Z<sub>2</sub>}←FOO R</apll> or <apll>∇ ({Z<sub>1</sub> Z<sub>2</sub>})←FOO R</apll> or <apll>∇ {(Z<sub>1</sub> Z<sub>2</sub>)}←FOO R</apll> may be used to mark the result as non-displayable.

WikiSysop: /* Miscellaneous Syntax */

2016-05-25T21:19:54Z

Miscellaneous Syntax

← Older revision		Revision as of 17:19, 25 May 2016
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	* [[Point_Notation\|Point Notation]] (<b>Base</b>, <b>Euler</b>, <b>Pi</b>, and <b>Gamma</b>) are extensions to the familiar <b>Decimal</b> and <b>Exponential</b> Point Notation for entering numeric constants. For example, the numeric constant <apll>16bffff</apll> is a shorthand for calculating <apll>16⊥15 15 15 15</apll>.		* [[Point_Notation\|Point Notation]] (<b>Base</b>, <b>Euler</b>, <b>Pi</b>, and <b>Gamma</b>) are extensions to the familiar <b>Decimal</b> and <b>Exponential</b> Point Notation for entering numeric constants. For example, the numeric constant <apll>16bffff</apll> is a shorthand for calculating <apll>16⊥15 15 15 15</apll>.
	* [[Trains]]: e.g., <apll>avg←(+⌿ ÷ ≢)</apll> applies the functions to its argument(s) in a particular way (in this case, to compute the average of a numeric vector).		* [[Trains]]: e.g., <apll>avg←(+⌿ ÷ ≢)</apll> applies the functions to its argument(s) in a particular way (in this case, to compute the average of a numeric vector).
	* [[System Labels]]: <apll>⎕PRO</apll> and <apll>~~⎕ID~~</apll> in user-defined functions/operators.		* [[System Labels]]: <apll>⎕PRO</apll>, <apll>⎕ID</apll>, and <apll>⎕MS</apll> in user-defined functions/operators.

	== System commands ==		== System commands ==

WikiSysop: /* Miscellaneous Syntax */

2016-05-25T21:18:03Z

Miscellaneous Syntax

← Older revision		Revision as of 17:18, 25 May 2016
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	* [[User-Defined_Functions/Operators\|The result of a user-defined function/operator]] may be marked as non-displayable by enclosing it in braces, as in <apll>∇ {Z}←FOO R</apll>. If the result part of the header consists of multiple names, either <apll>∇ {Z<sub>1</sub> Z<sub>2</sub>}←FOO R</apll> or <apll>∇ ({Z<sub>1</sub> Z<sub>2</sub>})←FOO R</apll> or <apll>∇ {(Z<sub>1</sub> Z<sub>2</sub>)}←FOO R</apll> may be used to mark the result as non-displayable.		* [[User-Defined_Functions/Operators\|The result of a user-defined function/operator]] may be marked as non-displayable by enclosing it in braces, as in <apll>∇ {Z}←FOO R</apll>. If the result part of the header consists of multiple names, either <apll>∇ {Z<sub>1</sub> Z<sub>2</sub>}←FOO R</apll> or <apll>∇ ({Z<sub>1</sub> Z<sub>2</sub>})←FOO R</apll> or <apll>∇ {(Z<sub>1</sub> Z<sub>2</sub>)}←FOO R</apll> may be used to mark the result as non-displayable.
	* [[Control_Structures\|Control structures]] on one line or split across multiple lines (e.g., <apll>:for I :in ⍳N ⋄ ... ⋄ :endfor</apll>).		* [[Control_Structures\|Control structures]] on one line or split across multiple lines (e.g., <apll>:for I :in ⍳N ⋄ ... ⋄ :endfor</apll>).
	* [[Point_Notation\|Point Notation]] (<b>Base</b>, <b>Euler</b>, and <b>Pi</b>) are extensions to the familiar <b>Decimal</b> and <b>Exponential</b> Point Notation for entering numeric constants. For example, the numeric constant <apll>16bffff</apll> is a shorthand for ~~entering~~ <apll>16⊥15 15 15 15</apll>.		* [[Point_Notation\|Point Notation]] (<b>Base</b>, <b>Euler</b>, <b>Pi</b>, and <b>Gamma</b>) are extensions to the familiar <b>Decimal</b> and <b>Exponential</b> Point Notation for entering numeric constants. For example, the numeric constant <apll>16bffff</apll> is a shorthand for calculating <apll>16⊥15 15 15 15</apll>.
	* [[Trains]]: e.g., <apll>avg←(+⌿ ÷ ≢)</apll> applies the functions to its argument(s) in a particular way (in this case, to compute the average of a numeric vector).		* [[Trains]]: e.g., <apll>avg←(+⌿ ÷ ≢)</apll> applies the functions to its argument(s) in a particular way (in this case, to compute the average of a numeric vector).
	* [[System Labels]]: <apll>⎕PRO</apll> and <apll>⎕ID</apll> in user-defined functions/operators.		* [[System Labels]]: <apll>⎕PRO</apll> and <apll>⎕ID</apll> in user-defined functions/operators.

WikiSysop: /* Language Features */

2015-11-14T23:15:10Z

Language Features

← Older revision		Revision as of 19:15, 14 November 2015
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	** <apll>⎕NC R</apll> ([[System_Function_NC\|Name Class]]) — returns <apll>21</apll> through <apll>24</apll> for System labels, (Unused), Magic functions, and Magic operators.		** <apll>⎕NC R</apll> ([[System_Function_NC\|Name Class]]) — returns <apll>21</apll> through <apll>24</apll> for System labels, (Unused), Magic functions, and Magic operators.
	** <apll>⎕NL R</apll> ([[System_Function_NL\|Name List]]) — <apll>R=21</apll> through <apll>24</apll> lists System labels, (Unused), Magic functions, and Magic operators.		** <apll>⎕NL R</apll> ([[System_Function_NL\|Name List]]) — <apll>R=21</apll> through <apll>24</apll> lists System labels, (Unused), Magic functions, and Magic operators.
			** <apll>⎕STOP</apll> ([[System_Function_STOP\|Query/Set STOP Property On Functions]])
	** <apll>⎕SYSID</apll> ([[System_Function_SYSID\|System Identification]])		** <apll>⎕SYSID</apll> ([[System_Function_SYSID\|System Identification]])
	** <apll>⎕SYSVER</apll> ([[System_Function_SYSVER\|System Version]])		** <apll>⎕SYSVER</apll> ([[System_Function_SYSVER\|System Version]])
	** <apll>⎕TC</apll> and other related <apll>⎕TC</apll>''xxx'' ([[System_Function_TC\|Terminal Control]])		** <apll>⎕TC</apll> and other related <apll>⎕TC</apll>''xxx'' ([[System_Function_TC\|Terminal Control]])
	** <apll>L ⎕TF R</apll> ([[System_Function_TF\|Transfer Form]]) — <apll>1=\|L</apll> (Type 1 Transfer Form) and <apll>2=\|L</apll> (Type 2 Transfer Form); <apll>L<0</apll> interprets <apll>R</apll> and the result as Unicode characters; <apll>L>0</apll> interprets them as APL2 characters		** <apll>L ⎕TF R</apll> ([[System_Function_TF\|Transfer Form]]) — <apll>1=\|L</apll> (Type 1 Transfer Form) and <apll>2=\|L</apll> (Type 2 Transfer Form); <apll>L<0</apll> interprets <apll>R</apll> and the result as Unicode characters; <apll>L>0</apll> interprets them as APL2 characters
			** <apll>⎕TRACE</apll> ([[System_Function_TRACE\|Query/Set TRACE Property On Functions]])
	** <apll>⎕UCS R</apll> ([[System_Function_UCS\|Unicode Character Set]])		** <apll>⎕UCS R</apll> ([[System_Function_UCS\|Unicode Character Set]])
	** <apll>⎕VR R</apll> ([[System Function VR\|Visual Representation]])		** <apll>⎕VR R</apll> ([[System Function VR\|Visual Representation]])

WikiSysop at 15:52, 2 October 2014

2014-10-02T15:52:19Z

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	== Language Features ==		== Language Features ==
	* [[Sink]]: monadic left arrow (<apll>←R</apll>) suppresses the display of <apll>R</apll>.		* [[Sink]]: monadic left arrow (<apll>←R</apll>) suppresses the display of <apll>R</apll>.
	* [[Indexing\|Unified index reference, assignment, and modify assignment]] (<apll>R[L]</apll>, <apll>R[L]←A</apll>, and <apll>R[L]<i>f</i>←A</apll>): these three forms all allow both Reach and Scatter indexing — that is, if <apll>L⊃R</apll> is valid, it is equivalent to <apll>⊃R[⊂L]</apll>, and if <apll>L⌷R</apll> is valid, it is equivalent to <apll>R[⊃∘.,/L]</apll> — Reach and Scatter indexing may appear together within a single instance of <apll>R[L]</apll>, <apll>R[L]←A</apll>, and <apll>R[L]<i>f</i>←A</apll>.		* [[Indexing\|Unified index reference, assignment, and modify assignment]] (<apll>R[L]</apll>, <apll>R[L]←A</apll>, and <apll>R[L]<i>f</i>←A</apll>): these three forms all allow both Reach and Scatter indexing — that is,
			** if <apll>L⊃R</apll> is valid, it is equivalent to <apll>⊃R[⊂L]</apll>, and
			** if <apll>L⊃¨⊂R</apll> is valid, it is equivalent to <apll>R[L]</apll>, and
			** if <apll>L⌷R</apll> is valid, it is equivalent to <apll>R[⊃∘.,/L]</apll>, and
			** if <apll>L⌷¨⊂R</apll> is valid, it is equivalent to <apll>⊂¨R[⊂¨L]</apll>
			:Reach and Scatter indexing may appear together within a single instance of <apll>R[L]</apll>, <apll>R[L]←A</apll>, and <apll>R[L]<i>f</i>←A</apll>.
	* [[Rank\|Dyadic operator dieresis-jot]] (<apll><i>f</i>⍤[X] Y</apll>) (rank) is used to apply a function to (monadic) or between (dyadic) cells of the argument(s).		* [[Rank\|Dyadic operator dieresis-jot]] (<apll><i>f</i>⍤[X] Y</apll>) (rank) is used to apply a function to (monadic) or between (dyadic) cells of the argument(s).
	* [[Compose\|Dyadic operator jot]] (<apll><i>f</i>∘<i>g</i></apll>) (compose) is used to join two functions or a function and a variable to produce a derived function (e.g., <apll>,∘⍋∘⍋∘,</apll>) which is applied as a single function. For example, the function <apll>*∘2</apll> when applied monadically, squares its argument.		* [[Compose\|Dyadic operator jot]] (<apll><i>f</i>∘<i>g</i></apll>) (compose) is used to join two functions or a function and a variable to produce a derived function (e.g., <apll>,∘⍋∘⍋∘,</apll>) which is applied as a single function. For example, the function <apll>*∘2</apll> when applied monadically, squares its argument.

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	== Miscellaneous Syntax ==		== Miscellaneous Syntax ==
	* [[Strand_Assignment\|Strand Assignment]]: A sequence of names enclosed in parentheses can be assigned to. For example, <apll>(A B)←1 2</apll> is the same as <apll>A←1</apll> followed by <apll>B←2</apll>.		* [[Strand_Assignment\|Strand Assignment]]: A sequence of names enclosed in parentheses can be assigned to. For example, <apll>(A B)←1 2</apll> is the same as <apll>A←1</apll> followed by <apll>B←2</apll>.
	* [[~~Modify_Assignment~~\|~~Modify~~ Assignment]]: An arbitrary (primitive or user-defined) dyadic function may appear immediately to the left of an assignment arrow. For example, <apll>A<i>f</i>←1</apll> is the same as <apll>A←A<i>f</i> 1</apll>, and <apll>A[L]<i>f</i>←1</apll> is the same as <apll>A[L]←A[L]<i>f</i> 1</apll>.		* [[Modified_Assignment\|Modified Assignment]]: An arbitrary (primitive or user-defined) dyadic function may appear immediately to the left of an assignment arrow. For example, <apll>A<i>f</i>←1</apll> is the same as <apll>A←A<i>f¨</i> 1</apll>, and <apll>A[L]<i>f</i>←1</apll> is the same as <apll>A[L]←A[L]<i>f¨</i> 1</apll>.
	* [[Modify_Strand_Assignment\|Modify Strand Assignment]]: An arbitrary (primitive or user-defined) dyadic function may appear immediately to the left of the assignment arrow used in Strand Assignment (e.g. <apll>(A B)<i>f</i>←1 2</apll> is the same as <apll>A←A<i>f</i> 1</apll> followed by <apll>B←B<i>f</i> 2</apll>).		* [[Modify_Strand_Assignment\|Modify Strand Assignment]]: An arbitrary (primitive or user-defined) dyadic function may appear immediately to the left of the assignment arrow used in Strand Assignment (e.g. <apll>(A B)<i>f</i>←1 2</apll> is the same as <apll>A←A<i>f</i> 1</apll> followed by <apll>B←B<i>f</i> 2</apll>).
	* [[Function/Operator/Hyperator_Assignment\|Function/operator/hyperator assignment]]: A primitive function, operator, or derived function may be assigned to any available name (e.g., <apll>F←⍋</apll>, or <apll>F←¨</apll>, or <apll>F←∘</apll>, or <apll>F←+.×</apll>).		* [[Function/Operator/Hyperator_Assignment\|Function/operator/hyperator assignment]]: A primitive function, operator, or derived function may be assigned to any available name (e.g., <apll>F←⍋</apll>, or <apll>F←¨</apll>, or <apll>F←∘</apll>, or <apll>F←+.×</apll>).

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	* [[User-Defined_Functions/Operators/Hyperators\|Strand left and right arguments and result to user-defined functions/operators]] along with optional left argument may be specified: For example, a strand right argument may be specified as <apll>∇ Z←FOO (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll> or, more fully, with a non-displayable result and strands used in all of the result, left, and right arguments with an optional left argument may be specified as <apll>∇ (Z<sub>1</sub> Z<sub>2</sub>)←{L<sub>1</sub> L<sub>2</sub> L<sub>3</sub>} (LO OP2[X] RO) (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll>.		* [[User-Defined_Functions/Operators/Hyperators\|Strand left and right arguments and result to user-defined functions/operators]] along with optional left argument may be specified: For example, a strand right argument may be specified as <apll>∇ Z←FOO (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll> or, more fully, with a non-displayable result and strands used in all of the result, left, and right arguments with an optional left argument may be specified as <apll>∇ (Z<sub>1</sub> Z<sub>2</sub>)←{L<sub>1</sub> L<sub>2</sub> L<sub>3</sub>} (LO OP2[X] RO) (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll>.
	* Note that braces are '''required''' to surround the left argument of an ambivalent function as in <apll>∇ Z←{L} FOO R</apll>.		* Note that braces are '''required''' to surround the left argument of an ambivalent function as in <apll>∇ Z←{L} FOO R</apll>.
	* [[User-Defined_Functions/Operators\|The result of a user-defined function/operator]] may be marked as non-displayable by enclosing it in braces, as in <apll>∇ {Z}←FOO R</apll>. If the result part of the header consists of multiple names, either <apll>∇ {Z<sub>1</sub> Z<sub>2</sub>}←FOO R</apll> or <apll>∇ ({Z<sub>1</sub> Z<sub>2</sub>})←FOO R</apll> or <apll>∇ {(Z<sub>1</sub> Z<sub>2</sub>)}←FOO R</apll> may be used to mark the result as non-displayable.		* [[User-Defined_Functions/Operators/Hyperators\|The result of a user-defined function/operator]] may be marked as non-displayable by enclosing it in braces, as in <apll>∇ {Z}←FOO R</apll>. If the result part of the header consists of multiple names, either <apll>∇ {Z<sub>1</sub> Z<sub>2</sub>}←FOO R</apll> or <apll>∇ ({Z<sub>1</sub> Z<sub>2</sub>})←FOO R</apll> or <apll>∇ {(Z<sub>1</sub> Z<sub>2</sub>)}←FOO R</apll> may be used to mark the result as non-displayable.
	* [[Control_Structures\|Control structures]] on one line or split across multiple lines (e.g., <apll>:for I :in ⍳N ⋄ ... ⋄ :endfor</apll>).		* [[Control_Structures\|Control structures]] on one line or split across multiple lines (e.g., <apll>:for I :in ⍳N ⋄ ... ⋄ :endfor</apll>).
	* [[Point_Notation\|Point Notation]] (<b>Base</b>, <b>Euler</b>, <b>Pi</b>, and <b>Gamma</b>) are extensions to the familiar <b>Decimal</b> and <b>Exponential</b> Point Notation for entering numeric constants. For example, the numeric constant <apll>16bffff</apll> is a shorthand for calculating <apll>16⊥15 15 15 15</apll>.		* [[Point_Notation\|Point Notation]] (<b>Base</b>, <b>Euler</b>, <b>Pi</b>, and <b>Gamma</b>) are extensions to the familiar <b>Decimal</b> and <b>Exponential</b> Point Notation for entering numeric constants. For example, the numeric constant <apll>16bffff</apll> is a shorthand for calculating <apll>16⊥15 15 15 15</apll>.

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	* [[Axis\|Axis operator with the dyadic derived function from the Each operator]]: As with primitive scalar dyadic functions, the axis operator indicates how the coordinates of the lower rank argument map to the coordinates of the higher rank argument. For example, <apll>(2 3⍴L)⍴¨[1 2] 2 3 4⍴R</apll> is equivalent to <apll>(3 1 2⍉4⌿1 2 3⍴L)⍴¨2 3 4⍴R</apll>.		* [[Axis\|Axis operator with the dyadic derived function from the Each operator]]: As with primitive scalar dyadic functions, the axis operator indicates how the coordinates of the lower rank argument map to the coordinates of the higher rank argument. For example, <apll>(2 3⍴L)⍴¨[1 2] 2 3 4⍴R</apll> is equivalent to <apll>(3 1 2⍉4⌿1 2 3⍴L)⍴¨2 3 4⍴R</apll>.
	* [[Axis\|Axis operator to Ravel]]: The order of the values in the axis operator brackets is significant, and may transpose coordinates in the right argument before mapping the values to the result. For example, <apll>,[2 1] R</apll> and <apll>,[1 2] R</apll> are both valid and have the same shape and values but, in general, the values are in a different order.		* [[Axis\|Axis operator to Ravel]]: The order of the values in the axis operator brackets is significant, and may transpose coordinates in the right argument before mapping the values to the result. For example, <apll>,[2 1] R</apll> and <apll>,[1 2] R</apll> are both valid and have the same shape and values but, in general, the values are in a different order.
	* [[Axis\|Axis operator with user-defined functions/operators]]: A user-defined function/operator may be sensitive to the axis operator in the same way various primitive functions and operators are. For example, <apll>FOO[2 3] R</apll> is valid if the function header is defined as <apll>∇ Z←FOO[X] R</apll>.		* [[Axis\|Axis operator with user-defined functions/operators/hyperators]]: A user-defined function/operator may be sensitive to the axis operator in the same way various primitive functions and operators are. For example, <apll>FOO[2 3] R</apll> is valid if the function header is defined as <apll>∇ Z←FOO[X] R</apll>.
	* [[Axis\|Axis operator values may be negative]]: That is, if the largest allowed value is <apll>N</apll>, then the allowable range for axis operator values is <apll>1 ¯1[1]-N</apll> to <apll>N</apll>, inclusive.		* [[Axis\|Axis operator values may be negative]]: That is, if the largest allowed value is <apll>N</apll>, then the allowable range for axis operator values is <apll>1 ¯1[1]-N</apll> to <apll>N</apll>, inclusive.
	* [[User-Defined_Functions/Operators\|Strand left and right arguments and result to user-defined functions/operators]] along with optional left argument may be specified: For example, a strand right argument may be specified as <apll>∇ Z←FOO (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll> or, more fully, with a non-displayable result and strands used in all of the result, left, and right arguments with an optional left argument may be specified as <apll>∇ (Z<sub>1</sub> Z<sub>2</sub>)←{L<sub>1</sub> L<sub>2</sub> L<sub>3</sub>} (LO OP2[X] RO) (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll>.		* [[User-Defined_Functions/Operators/Hyperators\|Strand left and right arguments and result to user-defined functions/operators]] along with optional left argument may be specified: For example, a strand right argument may be specified as <apll>∇ Z←FOO (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll> or, more fully, with a non-displayable result and strands used in all of the result, left, and right arguments with an optional left argument may be specified as <apll>∇ (Z<sub>1</sub> Z<sub>2</sub>)←{L<sub>1</sub> L<sub>2</sub> L<sub>3</sub>} (LO OP2[X] RO) (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll>.
	* Note that braces are '''required''' to surround the left argument of an ambivalent function as in <apll>∇ Z←{L} FOO R</apll>.		* Note that braces are '''required''' to surround the left argument of an ambivalent function as in <apll>∇ Z←{L} FOO R</apll>.
	* [[User-Defined_Functions/Operators\|The result of a user-defined function/operator]] may be marked as non-displayable by enclosing it in braces, as in <apll>∇ {Z}←FOO R</apll>. If the result part of the header consists of multiple names, either <apll>∇ {Z<sub>1</sub> Z<sub>2</sub>}←FOO R</apll> or <apll>∇ ({Z<sub>1</sub> Z<sub>2</sub>})←FOO R</apll> or <apll>∇ {(Z<sub>1</sub> Z<sub>2</sub>)}←FOO R</apll> may be used to mark the result as non-displayable.		* [[User-Defined_Functions/Operators\|The result of a user-defined function/operator]] may be marked as non-displayable by enclosing it in braces, as in <apll>∇ {Z}←FOO R</apll>. If the result part of the header consists of multiple names, either <apll>∇ {Z<sub>1</sub> Z<sub>2</sub>}←FOO R</apll> or <apll>∇ ({Z<sub>1</sub> Z<sub>2</sub>})←FOO R</apll> or <apll>∇ {(Z<sub>1</sub> Z<sub>2</sub>)}←FOO R</apll> may be used to mark the result as non-displayable.

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	** <apll>⎕NC R</apll> ([[System_Function_NC\|Name Class]]) — returns <apll>21</apll> through <apll>24</apll> for System labels, (Unused), Magic functions, and Magic operators.		** <apll>⎕NC R</apll> ([[System_Function_NC\|Name Class]]) — returns <apll>21</apll> through <apll>24</apll> for System labels, (Unused), Magic functions, and Magic operators.
	** <apll>⎕NL R</apll> ([[System_Function_NL\|Name List]]) — <apll>R=21</apll> through <apll>24</apll> lists System labels, (Unused), Magic functions, and Magic operators.		** <apll>⎕NL R</apll> ([[System_Function_NL\|Name List]]) — <apll>R=21</apll> through <apll>24</apll> lists System labels, (Unused), Magic functions, and Magic operators.
			** <apll>⎕STOP</apll> ([[System_Function_STOP\|Query/Set STOP Property On Functions]])
	** <apll>⎕SYSID</apll> ([[System_Function_SYSID\|System Identification]])		** <apll>⎕SYSID</apll> ([[System_Function_SYSID\|System Identification]])
	** <apll>⎕SYSVER</apll> ([[System_Function_SYSVER\|System Version]])		** <apll>⎕SYSVER</apll> ([[System_Function_SYSVER\|System Version]])
	** <apll>⎕TC</apll> and other related <apll>⎕TC</apll>''xxx'' ([[System_Function_TC\|Terminal Control]])		** <apll>⎕TC</apll> and other related <apll>⎕TC</apll>''xxx'' ([[System_Function_TC\|Terminal Control]])
	** <apll>L ⎕TF R</apll> ([[System_Function_TF\|Transfer Form]]) — <apll>1=\|L</apll> (Type 1 Transfer Form) and <apll>2=\|L</apll> (Type 2 Transfer Form); <apll>L<0</apll> interprets <apll>R</apll> and the result as Unicode characters; <apll>L>0</apll> interprets them as APL2 characters		** <apll>L ⎕TF R</apll> ([[System_Function_TF\|Transfer Form]]) — <apll>1=\|L</apll> (Type 1 Transfer Form) and <apll>2=\|L</apll> (Type 2 Transfer Form); <apll>L<0</apll> interprets <apll>R</apll> and the result as Unicode characters; <apll>L>0</apll> interprets them as APL2 characters
			** <apll>⎕TRACE</apll> ([[System_Function_TRACE\|Query/Set TRACE Property On Functions]])
	** <apll>⎕UCS R</apll> ([[System_Function_UCS\|Unicode Character Set]])		** <apll>⎕UCS R</apll> ([[System_Function_UCS\|Unicode Character Set]])
	** <apll>⎕VR R</apll> ([[System Function VR\|Visual Representation]])		** <apll>⎕VR R</apll> ([[System Function VR\|Visual Representation]])

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	* [[Modify_Assignment\|Modify Assignment]]: An arbitrary (primitive or user-defined) dyadic function may appear immediately to the left of an assignment arrow. For example, <apll>A<i>f</i>←1</apll> is the same as <apll>A←A<i>f</i> 1</apll>, and <apll>A[L]<i>f</i>←1</apll> is the same as <apll>A[L]←A[L]<i>f</i> 1</apll>.		* [[Modify_Assignment\|Modify Assignment]]: An arbitrary (primitive or user-defined) dyadic function may appear immediately to the left of an assignment arrow. For example, <apll>A<i>f</i>←1</apll> is the same as <apll>A←A<i>f</i> 1</apll>, and <apll>A[L]<i>f</i>←1</apll> is the same as <apll>A[L]←A[L]<i>f</i> 1</apll>.
	* [[Modify_Strand_Assignment\|Modify Strand Assignment]]: An arbitrary (primitive or user-defined) dyadic function may appear immediately to the left of the assignment arrow used in Strand Assignment (e.g. <apll>(A B)<i>f</i>←1 2</apll> is the same as <apll>A←A<i>f</i> 1</apll> followed by <apll>B←B<i>f</i> 2</apll>).		* [[Modify_Strand_Assignment\|Modify Strand Assignment]]: An arbitrary (primitive or user-defined) dyadic function may appear immediately to the left of the assignment arrow used in Strand Assignment (e.g. <apll>(A B)<i>f</i>←1 2</apll> is the same as <apll>A←A<i>f</i> 1</apll> followed by <apll>B←B<i>f</i> 2</apll>).
	* [[Function/~~Operator_Assignment~~\|Function/operator assignment]]: A primitive function, operator, or derived function may be assigned to any available name (e.g., <apll>F←⍋</apll>, or <apll>F←¨</apll>, or <apll>F←∘</apll>, or <apll>F←+.×</apll>).		* [[Function/Operator/Hyperator_Assignment\|Function/operator/hyperator assignment]]: A primitive function, operator, or derived function may be assigned to any available name (e.g., <apll>F←⍋</apll>, or <apll>F←¨</apll>, or <apll>F←∘</apll>, or <apll>F←+.×</apll>).
	* [[Axis\|Axis operator with primitive scalar dyadic functions]]: The axis operator indicates how the coordinates of the lower rank argument map to the coordinates of the higher rank argument. For example, <apll>(1 2+[1] 2 3⍴R</apll> is equivalent to <apll>(⍉3 2⍴1 2)+2 3⍴R</apll>.		* [[Axis\|Axis operator with primitive scalar dyadic functions]]: The axis operator indicates how the coordinates of the lower rank argument map to the coordinates of the higher rank argument. For example, <apll>(1 2+[1] 2 3⍴R</apll> is equivalent to <apll>(⍉3 2⍴1 2)+2 3⍴R</apll>.
	* [[Axis\|Axis operator with primitive scalar dyadic functions]]: The order of the values in the axis operator brackets is significant. For example, <apll>(2 3⍴L)+[1 2] 2 3 4⍴R</apll> and <apll>(⍉2 3⍴L)+[2 1] 2 3 4⍴R</apll> are identical.		* [[Axis\|Axis operator with primitive scalar dyadic functions]]: The order of the values in the axis operator brackets is significant. For example, <apll>(2 3⍴L)+[1 2] 2 3 4⍴R</apll> and <apll>(⍉2 3⍴L)+[2 1] 2 3 4⍴R</apll> are identical.
	* [[Axis\|Axis operator with the dyadic derived function from the Each operator]]: As with primitive scalar dyadic functions, the axis operator indicates how the coordinates of the lower rank argument map to the coordinates of the higher rank argument. For example, <apll>(2 3⍴L)⍴¨[1 2] 2 3 4⍴R</apll> is equivalent to <apll>(3 1 2⍉4⌿1 2 3⍴L)⍴¨2 3 4⍴R</apll>.		* [[Axis\|Axis operator with the dyadic derived function from the Each operator]]: As with primitive scalar dyadic functions, the axis operator indicates how the coordinates of the lower rank argument map to the coordinates of the higher rank argument. For example, <apll>(2 3⍴L)⍴¨[1 2] 2 3 4⍴R</apll> is equivalent to <apll>(3 1 2⍉4⌿1 2 3⍴L)⍴¨2 3 4⍴R</apll>.
	* [[Axis\|Axis operator to Ravel]]: The order of the values in the axis operator brackets is significant, and may transpose coordinates in the right argument before mapping the values to the result. For example, <apll>,[2 1] R</apll> and <apll>,[1 2] R</apll> are both valid and have the same shape and values but, in general, the values are in a different order.		* [[Axis\|Axis operator to Ravel]]: The order of the values in the axis operator brackets is significant, and may transpose coordinates in the right argument before mapping the values to the result. For example, <apll>,[2 1] R</apll> and <apll>,[1 2] R</apll> are both valid and have the same shape and values but, in general, the values are in a different order.
	* [[Axis\|Axis operator with user-defined functions/operators/hyperators]]: A user-defined function/operator may be sensitive to the axis operator in the same way various primitive functions and operators are. For example, <apll>FOO[2 3] R</apll> is valid if the function header is defined as <apll>∇ Z←FOO[X] R</apll>.		* [[Axis\|Axis operator with user-defined functions/operators/hyperators]]: A user-defined function/operator/hyperator may be sensitive to the axis operator in the same way various primitive functions and operators are. For example, <apll>FOO[2 3] R</apll> is valid if the function header is defined as <apll>∇ Z←FOO[X] R</apll>.
	* [[Axis\|Axis operator values may be negative]]: That is, if the largest allowed value is <apll>N</apll>, then the allowable range for axis operator values is <apll>1 ¯1[1]-N</apll> to <apll>N</apll>, inclusive.		* [[Axis\|Axis operator values may be negative]]: That is, if the largest allowed value is <apll>N</apll>, then the allowable range for axis operator values is <apll>1 ¯1[1]-N</apll> to <apll>N</apll>, inclusive.
	* [[User-Defined_Functions/Operators/Hyperators\|Strand left and right arguments and result to user-defined functions/operators]] along with optional left argument may be specified: For example, a strand right argument may be specified as <apll>∇ Z←FOO (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll> or, more fully, with a non-displayable result and strands used in all of the result, left, and right arguments with an optional left argument may be specified as <apll>∇ (Z<sub>1</sub> Z<sub>2</sub>)←{L<sub>1</sub> L<sub>2</sub> L<sub>3</sub>} (LO OP2[X] RO) (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll>.		* [[User-Defined_Functions/Operators/Hyperators\|Strand left and right arguments and result to user-defined functions/operators]] along with optional left argument may be specified: For example, a strand right argument may be specified as <apll>∇ Z←FOO (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll> or, more fully, with a non-displayable result and strands used in all of the result, left, and right arguments with an optional left argument may be specified as <apll>∇ (Z<sub>1</sub> Z<sub>2</sub>)←{L<sub>1</sub> L<sub>2</sub> L<sub>3</sub>} (LO OP2[X] RO) (R<sub>1</sub> R<sub>2</sub> R<sub>3</sub> R<sub>4</sub>)</apll>.
	* Note that braces are '''required''' to surround the left argument of an ambivalent function as in <apll>∇ Z←{L} FOO R</apll>.		* Note that braces are '''required''' to surround the left argument of an ambivalent function as in <apll>∇ Z←{L} FOO R</apll>.
	* [[User-Defined_Functions/Operators/Hyperators\|The result of a user-defined function/operator]] may be marked as non-displayable by enclosing it in braces, as in <apll>∇ {Z}←FOO R</apll>. If the result part of the header consists of multiple names, either <apll>∇ {Z<sub>1</sub> Z<sub>2</sub>}←FOO R</apll> or <apll>∇ ({Z<sub>1</sub> Z<sub>2</sub>})←FOO R</apll> or <apll>∇ {(Z<sub>1</sub> Z<sub>2</sub>)}←FOO R</apll> may be used to mark the result as non-displayable.		* [[User-Defined_Functions/Operators/Hyperators\|The result of a user-defined function/operator/hyperator]] may be marked as non-displayable by enclosing it in braces, as in <apll>∇ {Z}←FOO R</apll>. If the result part of the header consists of multiple names, either <apll>∇ {Z<sub>1</sub> Z<sub>2</sub>}←FOO R</apll> or <apll>∇ ({Z<sub>1</sub> Z<sub>2</sub>})←FOO R</apll> or <apll>∇ {(Z<sub>1</sub> Z<sub>2</sub>)}←FOO R</apll> may be used to mark the result as non-displayable.
	* [[Control_Structures\|Control structures]] on one line or split across multiple lines (e.g., <apll>:for I :in ⍳N ⋄ ... ⋄ :endfor</apll>).		* [[Control_Structures\|Control structures]] on one line or split across multiple lines (e.g., <apll>:for I :in ⍳N ⋄ ... ⋄ :endfor</apll>).
	* [[Point_Notation\|Point Notation]] (<b>Base</b>, <b>Euler</b>, <b>Pi</b>, and <b>Gamma</b>) are extensions to the familiar <b>Decimal</b> and <b>Exponential</b> Point Notation for entering numeric constants. For example, the numeric constant <apll>16bffff</apll> is a shorthand for calculating <apll>16⊥15 15 15 15</apll>.		* [[Point_Notation\|Point Notation]] (<b>Base</b>, <b>Euler</b>, <b>Pi</b>, and <b>Gamma</b>) are extensions to the familiar <b>Decimal</b> and <b>Exponential</b> Point Notation for entering numeric constants. For example, the numeric constant <apll>16bffff</apll> is a shorthand for calculating <apll>16⊥15 15 15 15</apll>.