Divide: Difference between revisions

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(Divide built-in)
 
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:''This page describes the dyadic arithmetic function. For reciprocal of a single argument, see [[Reciprocal]].''
:''This page describes the dyadic arithmetic function. For reciprocal of a single argument, see [[Reciprocal]].''


{{Built-in|Divide|÷}}, or '''Over''' is a [[dyadic]] [[scalar function]] which gives the arithmetic product of its [[argument]]s. Divide shares the [[glyph]] <source lang=apl inline>÷</source> with the monadic arithmetic function [[Reciprocal]], and its result is the left argument over the right argument.
{{Built-in|Divide|÷}} is a [[dyadic]] [[scalar function]] which gives the arithmetic ratio of its [[argument]]s. Divide shares the [[glyph]] <source lang=apl inline>÷</source> with the monadic arithmetic function [[Reciprocal]], and its result is the left argument divided by the right argument.


== Examples ==
== Examples ==
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1.5J0.5 1.25J¯1.25 20J25
1.5J0.5 1.25J¯1.25 20J25
   
   
       ⎕DIV←1
       ⎕DIV←1 ⍝ this sets division by 0 to always return 0
       2 0 5÷4 0 0
       2 0 5÷4 0 0
0.5 0 0
0.5 0 0
Line 22: Line 22:
=== Reduction and scan ===
=== Reduction and scan ===


[[Reduction]] with Division gives the alternating product of the whole list.
[[Reduction]] with Division gives the alternating product.


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

Revision as of 15:15, 26 April 2020

This page describes the dyadic arithmetic function. For reciprocal of a single argument, see Reciprocal.
÷

Divide (÷) is a dyadic scalar function which gives the arithmetic ratio of its arguments. Divide shares the glyph ÷ with the monadic arithmetic function Reciprocal, and its result is the left argument divided by the right argument.

Examples

      2 0 5÷4 0 2
0.5 1 2.5
 
      3j1 2.5 4j5÷2 1j1 .2
1.5J0.5 1.25J¯1.25 20J25
 
      ⎕DIV←1  ⍝ this sets division by 0 to always return 0
      2 0 5÷4 0 0
0.5 0 0

Properties

Division is anti-commutative: swapping the arguments yield the reciprocal of the result.

Reduction and scan

Reduction with Division gives the alternating product.

External links

Documentation

APL built-ins [edit]
Primitives (Timeline) Functions
Scalar
Monadic Conjugate ∙ Negate ∙ Signum ∙ Reciprocal ∙ Magnitude ∙ Exponential ∙ Natural Logarithm ∙ Floor ∙ Ceiling ∙ Factorial ∙ Not ∙ Pi Times ∙ Roll ∙ Type ∙ Imaginary ∙ Square Root ∙ Round
Dyadic Add ∙ Subtract ∙ Times ∙ Divide ∙ Residue ∙ Power ∙ Logarithm ∙ Minimum ∙ Maximum ∙ Binomial ∙ Comparison functions ∙ Boolean functions (And, Or, Nand, Nor) ∙ GCD ∙ LCM ∙ Circular ∙ Complex ∙ Root
Non-Scalar
Structural Shape ∙ Reshape ∙ Tally ∙ Depth ∙ Ravel ∙ Enlist ∙ Table ∙ Catenate ∙ Reverse ∙ Rotate ∙ Transpose ∙ Raze ∙ Mix ∙ Split ∙ Enclose ∙ Nest ∙ Cut (K) ∙ Pair ∙ Link ∙ Partitioned Enclose ∙ Partition
Selection First ∙ Pick ∙ Take ∙ Drop ∙ Unique ∙ Identity ∙ Stop ∙ Select ∙ Replicate ∙ Expand ∙ Set functions (Intersection ∙ Union ∙ Without) ∙ Bracket indexing ∙ Index ∙ Cartesian Product ∙ Sort
Selector Index generator ∙ Grade ∙ Index Of ∙ Interval Index ∙ Indices ∙ Deal ∙ Prefix and suffix vectors
Computational Match ∙ Not Match ∙ Membership ∙ Find ∙ Nub Sieve ∙ Encode ∙ Decode ∙ Matrix Inverse ∙ Matrix Divide ∙ Format ∙ Execute ∙ Materialise ∙ Range
Operators Monadic Each ∙ Commute ∙ Constant ∙ Replicate ∙ Expand ∙ Reduce ∙ Windowed Reduce ∙ Scan ∙ Outer Product ∙ Key ∙ I-Beam ∙ Spawn ∙ Function axis ∙ Identity (Null, Ident)
Dyadic Bind ∙ Compositions (Compose, Reverse Compose, Beside, Withe, Atop, Over) ∙ Inner Product ∙ Determinant ∙ Power ∙ At ∙ Under ∙ Rank ∙ Depth ∙ Variant ∙ Stencil ∙ Cut ∙ Direct definition (operator) ∙ Identity (Lev, Dex)
Quad names Index origin ∙ Comparison tolerance ∙ Migration level ∙ Atomic vector
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