Inner Product: Difference between revisions

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4 bytes removed ,  17:24, 25 June 2023
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Tags: Mobile edit Mobile web edit
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   (3 4⍴5)+.×1 5⍴6  ⍝ works in NARS2000 or APL\360, not in Dyalog APL</syntaxhighlight>
   (3 4⍴5)+.×1 5⍴6  ⍝ works in NARS2000 or APL\360, not in Dyalog APL</syntaxhighlight>
</blockquote>
</blockquote>
The <syntaxhighlight lang=apl inline>⊃⍤0⊢(↓⍺)∘.(⍺⍺/⍵⍵¨)↓(¯1⌽⍳⍴⍴⍵)⍉⍵</syntaxhighlight> line of the above dop can be written more directly as <syntaxhighlight lang=apl inline>⍺(⍺⍺⌿⍵⍵¨⍤¯1)⍤1 99⊢⍵</syntaxhighlight>, which uses the more efficient [https://www.jsoftware.com/papers/innerproduct/ip1.htm major-cell-at-a-time algorithm] (rather than row-by-column). The ISO/IEC 13751:2001(E) inner product, conversely, cannot be modeled using a major-cell-at-a-time algorithm, as computing the results one major cell (of the right argument) at a time relies on each application of the right operand being done between two scalars and producing a scalar result.
The <syntaxhighlight lang=apl inline>⊃⍤0⊢(↓⍺)∘.(⍺⍺/⍵⍵¨)↓(¯1⌽⍳⍴⍴⍵)⍉⍵</syntaxhighlight> line of IP above can be written more directly as <syntaxhighlight lang=apl inline>⍺(⍺⍺⌿⍵⍵¨⍤¯1)⍤1 99⊢⍵</syntaxhighlight>, which uses the more efficient [https://www.jsoftware.com/papers/innerproduct/ip1.htm major-cell-at-a-time algorithm] (rather than row-by-column). The ISO/IEC 13751:2001(E) inner product, conversely, can only be implemented using the row-by-column algorithm, as computing the results one major cell (of the right argument) at a time relies on each application of the right operand being done between two scalars and producing a scalar result.


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