# Math CHOP

## Summary

The Math CHOP performs arithmetic operations on channels. The channels of a CHOP can be combined into one channel, and several CHOPs can be combined into one CHOP.

The OP page lets you pre-operate on each sample, like making all samples positive or taking the square of each sample.

Using Combine Channels, for an input CHOP with multi-channels, you can multiply the samples of one channel by the samples in the other channels, reducing N channels down to one. You can combine them by multiplying, adding, finding the maximum, etc..

Using Combine CHOPs, where there are two or more CHOP inputs, you can multiply (or add, etc.) the channels in one CHOP with the channels in all the other CHOPs, reducing N CHOPs to 1. (otherwise channels of multi-inputs are just merged)

You can then post-operate on the resulting samples - negate, square root, etc.

Then using the Mult-Add page it can offset and scale the values of each sample.

More conveniently you can use the Range page to do linear scaling as well by setting an output low-high range for a certain input low-high range.

Finally, you can round the resulting values off to an integer.

NOTE: To do logic operations (and, or, ...) between channels or CHOPs, use the Logic CHOP.

## Parameters - OP Page

The four steps are performed in the following order:

Channel Pre OP `preop` - - Unary operations can be performed on individual channels. A menu of unary operations (as described above) that are performed on each channel as it comes in to the Math CHOP include:

• Off `off` - Don't do anything to the channel.
• Negate `negate` - Take the negative value of each sample of the channel.
• Positive `pos` - Make negative values of the channel positive (absolute).
• Root `root` - Take the square root of all values in the channel.
• Square `square` - Square all the values in the channel.
• Inverse `inverse` - Take the inverse (1/x) of all values in the channel.

Combine Channels `chanop` - - A choice of operations is performed between the channels of an input CHOP, for each input. The Nth sample of one channel is combined with the Nth sample of other channels:

• Off `off` - Don't combine the channels.
• Add `add` - Sum all the channels.
• Subtract `sub` - Subtract all the channels from the first.
• Multiply `mul` - Take the product of all the channels.
• Divide `div` - Divide the first channel by all the rest.
• Average `avg` - Take the average of all the channels.
• Minimum `min` - Take the minimum value of all the channels.
• Maximum `max` - Take the maximum value of all the channels.
• Length `len` - Assume the channels are a vector and compute its length.

Combine CHOPs `chopop` - - A menu of operations that is performed between the input CHOPs, combining several CHOPs into one.

• Off `off` - Don't combine the channels.
• Add `add` - Sum all the channels.
• Subtract `sub` - Subtract all the channels from the first.
• Multiply `mul` - Take the product of all the channels.
• Divide `div` - Divide the first channel by all the rest.
• Average `avg` - Take the average of all the channels.
• Minimum `min` - Take the minimum value of all the channels.
• Maximum `max` - Take the maximum value of all the channels.
• Length `len` - Assume the channels are a vector and compute its length.

Channel Post OP `postop` - - A menu (same as Channel Pre OP) is performed as the finale stage upon the channels resulting from the above operations.

• Off `off` -
• Negate `negate` -
• Positive `pos` -
• Root `root` -
• Square `square` -
• Inverse `inverse` -

Integer `integer` - - The resulting values can be converted to integer. The Tscript `ceil()`, `floor()` and `round()` expressions do the same.

• Off `off` - Don't affect the value.
• Ceiling `ceiling` - Round a value up to the next integer.
• Floor `floor` - Round a value down to the next integer.
• Round `round` - Round a value to the nearest integer.

Match by `match` - - Match channels between inputs by name or number.

• Channel Number `index` -
• Channel Name `name` -

Align `align` - - How to align channels from different inputs. See Align Option.

• Automatic `auto` -
• Extend to Min/Max `none` -
• Stretch to Min/Max `stretch` -
• Shift to Minimum `start` -
• Shift to Maximum `end` -
• Shift to First Interval `shift1` -
• Trim to First Interval `trim1` -
• Stretch to First Interval `stretch1` -
• Trim to Smallest Interval `trim` -
• Stretch to Smallest Interval `squash` -

The three steps are next performed in the following order:

Pre-Add `preoff` - First, add the value to each sample of each channel.

Multiply `gain` - Then multiply by this value.

Post-Add `postoff` - Then add this value.

## Parameters - Range Page

This is the final step prior to output.

From Range `fromrange`- - Another way to multiply/add. Converts from one low-high range to another range.

"" `fromrange1` -

"" `fromrange2` -

To Range `torange`- - Another way to multiply/add. Converts from one low-high range to another range.

"" `torange1` -

"" `torange2` -

## Parameters - Common Page

Time Slice `timeslice` - Turning this on forces the channels to be "Time Sliced". A Time Slice is the time between the last cook frame and the current cook frame.

Scope `scope` - To determine which channels get affected, some CHOPs use a Scope string on the Common page.

Sample Rate Match `srselect` - - Handle cases where multiple input CHOPs' sample rates are different. When Resampling occurs, the curves are interpolated according to the Interpolation Method Option, or "Linear" if the Interpolate Options are not available.

• Resample At First Input's Rate `first` - Use rate of first input to resample others.
• Resample At Maximum Rate `max` - Resample to the highest sample rate.
• Resample At Minimum Rate `min` - Resample to the lowest sample rate.
• Error If Rates Differ `err` - Doesn't accept conflicting sample rates.

Export Method `exportmethod` - - This will determine how to connect the CHOP channel to the parameter. Refer to the Export article for more information.

• DAT Table by Index `datindex` - Uses the docked DAT table and references the channel via the index of the channel in the CHOP.
• DAT Table by Name `datname` - Uses the docked DAT table and references the channel via the name of the channel in the CHOP.
• Channel Name is Path:Parameter `autoname` - The channel is the full destination of where to export to, such has `geo1/transform1:tx`.

Export Root `autoexportroot` - This path points to the root node where all of the paths that exporting by Channel Name is Path:Parameter are relative to.

Export Table `exporttable` - The DAT used to hold the export information when using the DAT Table Export Methods (See above).

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