Programmer Guide/SPU Reference/DOT: Difference between revisions

Revision as of 08:25, 6 May 2011

Dot product of A and B.

In	Out	Description
`A_number`, `B_number`	`Y_number`	`Y` = $A.B\|A\|$
`A_vector`	`Y_number`	`Y` = ${\sqrt {{\frac {1}{n}}\sum _{i=0}^{n-1}A[i]^{2}}}$

with: n = length of A_vector

@@ Line 1: / Line 1: @@
 {{DISPLAYTITLE:{{SUBPAGENAME}}}}
-====DOT - dot product====
+Dot product of <var>A</var> and <var>B<var>.
+==<code>[SPU RMS <var>A B</var> OUT <var>Y</var>]</code>==
-=====Usage:=====
+{|class="einrahmen"
+!In !!Out !!Description
-<code>DOT <var>A</var> <var>B</var></code>
-=====Inputs:=====
-{|
 |-
-|A
+|<var>A<sub>number</sub></var>, <var>B<sub>number</sub></var>
-|number or vector
+|<var>Y<sub>number</sub></var>
+|<var>Y</var> = <math>A.B|A|</math>
 |-
-|B
+|<var>A<sub>vector</sub></var>
-|same type as A
+|<var>Y<sub>number</sub></var>
-|}
+|<var>Y</var> = <math>\sqrt{\frac{1}{n}\sum_{i=0}^{n-1}A[i]^2}</math>
-=====Outputs:=====
-{|
-|-
-|Y
-|dot product A.<var>B</var> (number)
-|}
-=====Function:=====
-Compute the dot product of <var>A</var> and <var>B</var>.
-{|
-|-
-|if A and <var>B</var> are numbers:
-|Y = <var>A</var>.<var>B</var>
-|-
-|if A and <var>B</var> are vectors:
-|Y = <var>A</var>[0].<var>B</var>[0] + ... + <var>A</var>[n-1].<var>B</var>[n-1];
-|-
-|
-|n = number of elements of A|<var>B</var>
 |}
+with: n = length of <var>A<sub>vector</sub></var>
+;See also:
+<[[../#Signal Processing Atoms|SP-atoms]]>
+<!-- AN, 2.5.2011 -->