Inverse: Difference between revisions
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Nikitaivanov (talk | contribs) (Created page with "Outputs the inverse of the input rotation. File:Inverse1.png Input: * Rot: rotation value Output: * Rot Inverse: the inverse of the rotation == Details == The inverse of a rotation is the rotation that, when combined with the original rotation, equals the identity rotation (0, 0, 0). In math, the inverse of a value with respect to some operation is the value that "undoes" the operation. For example, the additive inverse of `5` is `-5`, since `5...") |
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{{Block | |||
|image=Inverse.png | |||
|type=s | |||
|folder=math | |||
|input1={{Port|r|Rot}} | |||
|output1={{Port|r|Rot Inverse}} | |||
}} | |||
Outputs the inverse of the input [[rotation]]. | Outputs the inverse of the input [[rotation]]. | ||
== Details == | == Details == | ||
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In math, the inverse of a value with respect to some operation is the value that "undoes" the operation. | In math, the inverse of a value with respect to some operation is the value that "undoes" the operation. | ||
For example, the additive inverse of | For example, the additive inverse of <code>5</code> is <code>-5</code>, since <code>5 + -5 = 0</code>. | ||
If you add 5, then subtract 5, you get back the original value. | |||
The multiplicative inverse of | The multiplicative inverse of <code>5</code> is <code>1/5</code>, since <code>5 * 1/5 = 1</code>. | ||
If you multiply by 5, then divide by 5, you get back the original value. | |||
The same applies to rotations. The inverse of a rotation can be used to "undo" that rotation. If you combine with a rotation, then combine that with the rotation's inverse, you get back the original rotation. | The same applies to rotations. The inverse of a rotation can be used to "undo" that rotation. | ||
If you combine with a rotation, then combine that with the rotation's inverse, you get back the original rotation. | |||
Normally, the inverse of a rotation on it's own is not useful, and is usually combined with another rotation. | Normally, the inverse of a rotation on it's own is not useful, and is usually combined with another rotation. | ||
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How to subtract rotations: | How to subtract rotations: | ||
[[File: | [[File:Inverse example.png|frameless|center|Example]] | ||
[[Category:Blocks]] | [[Category:Blocks]] | ||
