Difference between revisions of "Combining pattern structure"
Line 22: | Line 22: | ||
</pre> | </pre> | ||
− | You can see that the event with the value of | + | You can see that the event with the value of <syntaxhighlight lang="Haskell" inline>4</syntaxhighlight> fits in the event |
− | with value of | + | with value of <syntaxhighlight lang="Haskell" inline>2</syntaxhighlight>, so you get a new event equalling their sum <syntaxhighlight lang="Haskell" inline>6</syntaxhighlight>. You |
can see that the onset and duration is the interection, which in this | can see that the onset and duration is the interection, which in this | ||
case is just the onset and duration of the original event with the | case is just the onset and duration of the original event with the | ||
− | value | + | value <syntaxhighlight lang="Haskell" inline>4</syntaxhighlight>. |
− | Also see that the event with value | + | Also see that the event with value <syntaxhighlight lang="Haskell" inline>5</syntaxhighlight> is cut in half, to create two, |
− | shorter events. Half matches with the | + | shorter events. Half matches with the <syntaxhighlight lang="Haskell" inline>2</syntaxhighlight> event and the other half |
− | matches with the | + | matches with the <syntaxhighlight lang="Haskell" inline>3</syntaxhighlight> event. Again, the onset and duration of both |
events comes from the intersections. | events comes from the intersections. | ||
− | The fourth and final event comes from the intersection of | + | The fourth and final event comes from the intersection of <syntaxhighlight lang="Haskell" inline>3</syntaxhighlight> and <syntaxhighlight lang="Haskell" inline>6</syntaxhighlight>, |
− | giving a value of | + | giving a value of <syntaxhighlight lang="Haskell" inline>9</syntaxhighlight>. |
## Structure from the left | ## Structure from the left | ||
The old behaviour was to take the structure from the left. You can | The old behaviour was to take the structure from the left. You can | ||
− | still do this, but in this case using | + | still do this, but in this case using <syntaxhighlight lang="Haskell" inline>|+`. |
For example: | For example: | ||
− | + | <syntaxhighlight lang="Haskell"> | |
"2 3" |+ "4 5 6" | "2 3" |+ "4 5 6" | ||
− | + | </syntaxhighlight> | |
In the above example, you end up with structure from the first, leftmost pattern, like this: | In the above example, you end up with structure from the first, leftmost pattern, like this: | ||
− | + | <pre> | |
| 2 | 3 | | | 2 | 3 | | ||
|+ | 4 | 5 | 6 | | |+ | 4 | 5 | 6 | | ||
= | 6 | 8 | | = | 6 | 8 | | ||
− | + | </pre> | |
− | You can see the structure comes from the | + | You can see the structure comes from the <syntaxhighlight lang="Haskell" inline>2</syntaxhighlight> and <syntaxhighlight lang="Haskell" inline>3</syntaxhighlight>. <syntaxhighlight lang="Haskell" inline>2</syntaxhighlight> lines up |
− | with | + | with <syntaxhighlight lang="Haskell" inline>4</syntaxhighlight>, and the start of <syntaxhighlight lang="Haskell" inline>3</syntaxhighlight> is in <syntaxhighlight lang="Haskell" inline>5</syntaxhighlight>, so you end up with <syntaxhighlight lang="Haskell" inline>2+4=6</syntaxhighlight> |
− | and | + | and <syntaxhighlight lang="Haskell" inline>3+5=8</syntaxhighlight>. |
## Structure from the right | ## Structure from the right | ||
− | Likewise, you can take the structure from the right, with | + | Likewise, you can take the structure from the right, with <syntaxhighlight lang="Haskell" inline>+|</syntaxhighlight>. So <syntaxhighlight lang="Haskell" inline>"2 |
− | 3" +| "4 5 6" | + | 3" +| "4 5 6"</syntaxhighlight> looks like: |
− | + | <pre> | |
| 2 | 3 | | | 2 | 3 | | ||
+| | 4 | 5 | 6 | | +| | 4 | 5 | 6 | | ||
= | 6 | 7 | 9 | | = | 6 | 7 | 9 | | ||
− | + | </pre> | |
## All the operators | ## All the operators | ||
− | Note that | + | Note that <syntaxhighlight lang="Haskell" inline>+</syntaxhighlight> is actually an alias for <syntaxhighlight lang="Haskell" inline>|+|</syntaxhighlight>. So <syntaxhighlight lang="Haskell" inline>|+</syntaxhighlight> is to take the |
− | structure from the left, | + | structure from the left, <syntaxhighlight lang="Haskell" inline>+|</syntaxhighlight> from the right, and <syntaxhighlight lang="Haskell" inline>|+|</syntaxhighlight> or <syntaxhighlight lang="Haskell" inline>+</syntaxhighlight> for |
both. Here are all the basic operators you can use to combine | both. Here are all the basic operators you can use to combine | ||
structure: | structure: | ||
Line 80: | Line 80: | ||
Function Both Left Right | Function Both Left Right | ||
-------- --------- ----- ------ | -------- --------- ----- ------ | ||
− | Add | + | Add <syntaxhighlight lang="Haskell" inline>|+|</syntaxhighlight>/</syntaxhighlight>+</syntaxhighlight> <syntaxhighlight lang="Haskell" inline>|+</syntaxhighlight> <syntaxhighlight lang="Haskell" inline>+|</syntaxhighlight> |
− | Multiply | + | Multiply <syntaxhighlight lang="Haskell" inline>|*|</syntaxhighlight>/</syntaxhighlight>*</syntaxhighlight> <syntaxhighlight lang="Haskell" inline>|*</syntaxhighlight> <syntaxhighlight lang="Haskell" inline>*|</syntaxhighlight> |
− | Subtract | + | Subtract <syntaxhighlight lang="Haskell" inline>|-|</syntaxhighlight>/</syntaxhighlight>-</syntaxhighlight> <syntaxhighlight lang="Haskell" inline>|-</syntaxhighlight> <syntaxhighlight lang="Haskell" inline>-|</syntaxhighlight> |
− | Divide | + | Divide <syntaxhighlight lang="Haskell" inline>|/|</syntaxhighlight>/</syntaxhighlight>/</syntaxhighlight> <syntaxhighlight lang="Haskell" inline>|/</syntaxhighlight> <syntaxhighlight lang="Haskell" inline>/|</syntaxhighlight> |
− | Modulo | + | Modulo <syntaxhighlight lang="Haskell" inline>|%|</syntaxhighlight> <syntaxhighlight lang="Haskell" inline>|%</syntaxhighlight> <syntaxhighlight lang="Haskell" inline>%|</syntaxhighlight> |
− | Left values | + | Left values <syntaxhighlight lang="Haskell" inline>|<|</syntaxhighlight> <syntaxhighlight lang="Haskell" inline>|<</syntaxhighlight> <syntaxhighlight lang="Haskell" inline><|</syntaxhighlight> |
− | Right values | + | Right values <syntaxhighlight lang="Haskell" inline>|>|</syntaxhighlight>/</syntaxhighlight>#</syntaxhighlight> <syntaxhighlight lang="Haskell" inline>|></syntaxhighlight> <syntaxhighlight lang="Haskell" inline>>|</syntaxhighlight> |
The last two are interesting, they let you only take values from one | The last two are interesting, they let you only take values from one | ||
side. So for example you could take structure from the left, but | side. So for example you could take structure from the left, but | ||
− | values from the right with | + | values from the right with <syntaxhighlight lang="Haskell" inline>|></syntaxhighlight>, for example: |
− | + | <pre> | |
| 2 | 3 | | | 2 | 3 | | ||
|> | 4 | 5 | 6 | | |> | 4 | 5 | 6 | | ||
= | 2 | 9 | | = | 2 | 9 | | ||
− | + | </pre> | |
− | This is actually how | + | This is actually how <syntaxhighlight lang="Haskell" inline>#</syntaxhighlight> works in the current tidal. |
Revision as of 13:38, 7 November 2018
This does not describe current behaviour - this is upcoming in version 1.0.0.
A core feature of Tidal is the ease in which two patterns can be combined. This is changing a lot in the upcoming 1.0.0 version of Tidal. For example, these are two patterns being combined by adding together their elements:
"2 3" + "4 5 6"
The two patterns line up over time like this:
| 2 | 3 | + | 4 | 5 | 6 |
Unlike in previous versions of Tidal, by default the structure now comes from _both sides_. This means you end up with _four_ events, because the 5 lines up both with the 2
and the 3
. So the result is equivalent to "6 [7 8] 9"
:
| 2 | 3 | + | 4 | 5 | 6 | = | 6 |7|8| 9 |
You can see that the event with the value of 4
fits in the event
with value of 2
, so you get a new event equalling their sum 6
. You
can see that the onset and duration is the interection, which in this
case is just the onset and duration of the original event with the
value 4
.
Also see that the event with value 5
is cut in half, to create two,
shorter events. Half matches with the 2
event and the other half
matches with the 3
event. Again, the onset and duration of both
events comes from the intersections.
The fourth and final event comes from the intersection of 3
and 6
,
giving a value of 9
.
- Structure from the left
The old behaviour was to take the structure from the left. You can
still do this, but in this case using |+`. For example: <syntaxhighlight lang="Haskell"> "2 3" |+ "4 5 6"
In the above example, you end up with structure from the first, leftmost pattern, like this:
| 2 | 3 | |+ | 4 | 5 | 6 | = | 6 | 8 |
You can see the structure comes from the 2
and 3
. 2
lines up
with 4
, and the start of 3
is in 5
, so you end up with 2+4=6
and 3+5=8
.
- Structure from the right
Likewise, you can take the structure from the right, with +|
. So "2 3" +| "4 5 6"
looks like:
| 2 | 3 | +| | 4 | 5 | 6 | = | 6 | 7 | 9 |
- All the operators
Note that +
is actually an alias for |+|
. So |+
is to take the
structure from the left, +|
from the right, and |+|
or +
for
both. Here are all the basic operators you can use to combine
structure:
Function Both Left Right
--------- ----- ------
Add |+|
/</syntaxhighlight>+</syntaxhighlight> |+
+|
Multiply |*|
/</syntaxhighlight>*</syntaxhighlight> |*
*|
Subtract |-|
/</syntaxhighlight>-</syntaxhighlight> |-
-|
Divide |/|
/</syntaxhighlight>/</syntaxhighlight> |/
/|
Modulo |%|
|%
%|
Left values |<|
|<
<|
Right values |>|
/</syntaxhighlight>#</syntaxhighlight> |>
>|
The last two are interesting, they let you only take values from one
side. So for example you could take structure from the left, but
values from the right with |>
, for example:
| 2 | 3 | |> | 4 | 5 | 6 | = | 2 | 9 |
This is actually how #
works in the current tidal.