# Experimental:Math TOP

## Summary

The Math TOP performs specific mathematical operations on the pixels of the input image.

## Parameters - OP Page

Channel Pre OP `preop` - - A menu of unary operations that are performed on each channel as it comes in to the Math TOP include:

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

Combine Channels `chanop` - - A choice of operations is performed between the channels of the input TOP. Input and output channels are selected by the 'Combine Channels Input' and 'Combine Channels Output' parameters below. The Nth pixel of one channel is combined with the Nth pixel of other channels.

• Off `off` - Don't do anything.
• Add `add` - Sum all the channels.
• Subtract `sub` - Subtract all the channels from the first.
• Multiply `mul` - Multiply 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` - Don't do anything.
• Negate `negate` - Take the negative value of each input value.
• Positive `pos` - Make negative values positive (absolute).
• Root `root` - Take the square root of all values.
• Square `square` - Square all the values.
• Inverse `inverse` - Take the inverse (1/x) of all values.

Integer `integer` - - The resulting values can be converted to integers.

• Off `off` - Don't do anything.
• Ceiling `ceiling` - Round values up to the next integer.
• Floor `floor` - Round values down to the next integer.
• Round `round` - Round values to the nearest integer.

Combine Channels Input `inputmask` - Select which channels are included in the input.

Combine Channels Output `outputchannels` - Select which channels are included in the output result.

The three steps are next performed in the following order:

Pre-Add `preoff` - First, add this value to each pixel of each channel.

Multiply `gain` - Then multiply by this value.

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

Operation `op` - - The math operation performed.

• No Operation `no_op` -
• Multiply RGB by Alpha `rgbmultalpha` - Multiplies the RGB color values by the alpha values in the image.
• Divide RGB by Alpha `rgbdivalpha` - Divides the RGB color values by the alpha values in the image.
• Divide RGB by Alpha and Fill `rgbdivalphafill` - Divides the RGB color values by the alpha values in the image and then fills the image with white pixels where alpha = 0.

## Parameters - Range Page

Another way to multiply/add. This is the final step prior to output.

From Range `fromrange` - Working on all channels, converts the specified From Range (low-high range) into the To Range below.

To Range `torange` - Working on all channels, converts the specified From Range (low-high range) above into this To Range.

From Range R `fromrangeR` - Working on the red channel, converts the specified From Range (low-high range) into the To Range below.

To Range R `toranger` - Working on the red channel, converts the specified From Range (low-high range) above into this To Range.

From Range G `fromrangeg` - Working on the green channel, converts the specified From Range (low-high range) into the To Range below.

To Range G `torangeg` - Working on the green channel, converts the specified From Range (low-high range) above into this To Range.

From Range B `fromrangeb` - Working on the blue channel, converts the specified From Range (low-high range) into the To Range below.

To Range B `torangeb` - Working on the blue channel, converts the specified From Range (low-high range) above into this To Range.

From Range A `fromrangea` - Working on the alpha channel, converts the specified From Range (low-high range) into the To Range below.

To Range A `torangea` - Working on the alpha channel, converts the specified From Range (low-high range) above into this To Range.

## Parameters - Common Page

Output Resolution `outputresolution` - - quickly change the resolution of the TOP's data.

• Use Input `useinput` - Uses the input's resolution.
• Eighth `eighth` - Multiply the input's resolution by that amount.
• Quarter `quarter` - Multiply the input's resolution by that amount.
• Half `half` - Multiply the input's resolution by that amount.
• 2X `2x` - Multiply the input's resolution by that amount.
• 4X `4x` - Multiply the input's resolution by that amount.
• 8X `8x` - Multiply the input's resolution by that amount.
• Fit Resolution `fit` - Multiply the input's resolution by that amount.
• Limit Resolution `limit` - Multiply the input's resolution by that amount.
• Custom Resolution `custom` - Enables the Resolution parameter below, giving direct control over width and height.

Resolution `resolution` - - Enabled only when the Resolution parameter is set to Custom Resolution. Some Generators like Constant and Ramp do not use inputs and only use this field to determine their size. The drop down menu on the right provides some commonly used resolutions.

• W `resolutionw` -
• H `resolutionh` -

Resolution Menu `resmenu` -

Use Global Res Multiplier `resmult` - Uses the Global Resolution Multiplier found in Edit>Preferences>TOPs. This multiplies all the TOPs resolutions by the set amount. This is handy when working on computers with different hardware specifications. If a project is designed on a desktop workstation with lots of graphics memory, a user on a laptop with only 64MB VRAM can set the Global Resolution Multiplier to a value of half or quarter so it runs at an acceptable speed. By checking this checkbox on, this TOP is affected by the global multiplier.

Output Aspect `outputaspect` - - Sets the image aspect ratio allowing any textures to be viewed in any size. Watch for unexpected results when compositing TOPs with different aspect ratios. (You can define images with non-square pixels using xres, yres, aspectx, aspecty where xres/yres != aspectx/aspecty.)

• Use Input `useinput` - Uses the input's aspect ratio.
• Resolution `resolution` - Uses the aspect of the image's defined resolution (ie 512x256 would be 2:1), whereby each pixel is square.
• Custom Aspect `custom` - Lets you explicitly define a custom aspect ratio in the Aspect parameter below.

Aspect `aspect` - - Use when Output Aspect parameter is set to Custom Aspect.

• Aspect1 `aspect1` -
• Aspect2 `aspect2` -

Aspect Menu `armenu` -

Input Smoothness `inputfiltertype` - - This controls pixel filtering on the input image of the TOP.

• Nearest Pixel `nearest` - Uses nearest pixel or accurate image representation. Images will look jaggy when viewing at any zoom level other than Native Resolution.
• Interpolate Pixels `linear` - Uses linear filtering between pixels. This is how you get TOP images in viewers to look good at various zoom levels, especially useful when using any Fill Viewer setting other than Native Resolution.
• Mipmap Pixels `mipmap` - Uses mipmap filtering when scaling images. This can be used to reduce artifacts and sparkling in moving/scaling images that have lots of detail.

Fill Viewer `fillmode` - - Determine how the TOP image is displayed in the viewer. NOTE:To get an understanding of how TOPs work with images, you will want to set this to Native Resolution as you lay down TOPs when starting out. This will let you see what is actually happening without any automatic viewer resizing.

• Use Input `useinput` - Uses the same Fill Viewer settings as it's input.
• Fill `fill` - Stretches the image to fit the edges of the viewer.
• Fit Horizontal `width` - Stretches image to fit viewer horizontally.
• Fit Vertical `height` - Stretches image to fit viewer vertically.
• Fit Best `best` - Stretches or squashes image so no part of image is cropped.
• Fit Outside `outside` - Stretches or squashes image so image fills viewer while constraining it's proportions. This often leads to part of image getting cropped by viewer.
• Native Resolution `nativeres` - Displays the native resolution of the image in the viewer.

Viewer Smoothness `filtertype` - - This controls pixel filtering in the viewers.

• Nearest Pixel `nearest` - Uses nearest pixel or accurate image representation. Images will look jaggy when viewing at any zoom level other than Native Resolution.
• Interpolate Pixels `linear` - Uses linear filtering between pixels. Use this to get TOP images in viewers to look good at various zoom levels, especially useful when using any Fill Viewer setting other than Native Resolution.
• Mipmap Pixels `mipmap` - Uses mipmap filtering when scaling images. This can be used to reduce artifacts and sparkling in moving/scaling images that have lots of detail.

Passes `npasses` - Duplicates the operation of the TOP the specified number of times. Making this larger than 1 is essentially the same as taking the output from each pass, and passing it into the first input of the node and repeating the process. Other inputs and parameters remain the same for each pass.

Channel Mask `chanmask` - Allows you to choose which channels (R, G, B, or A) the TOP will operate on. All channels are selected by default.

Pixel Format `format` - - Format used to store data for each channel in the image (ie. R, G, B, and A). Refer to Pixel Formats for more information.

• Use Input `useinput` - Uses the input's pixel format.
• 8-bit fixed (RGBA) `rgba8fixed` - Uses 8-bit integer values for each channel.
• sRGB 8-bit fixed (RGBA) `srgba8fixed` - Uses 8-bit integer values for each channel and stores color in sRGB colorspace.
• 16-bit float (RGBA) `rgba16float` - Uses 16-bits per color channel, 64-bits per pixel.
• 32-bit float (RGBA) `rgba32float` - Uses 32-bits per color channel, 128-bits per pixels.
• 10-bit RGB, 2-bit Alpha, fixed (RGBA) `rgb10a2fixed` - Uses 10-bits per color channel and 2-bits for alpha, 32-bits total per pixel.
• 16-bit fixed (RGBA) `rgba16fixed` - Uses 16-bits per color channel, 64-bits total per pixel.
• 11-bit float (RGB), Positive Values Only `rgba11float` - A RGB floating point format that has 11 bits for the Red and Green channels, and 10-bits for the Blue Channel, 32-bits total per pixel (therefore the same memory usage as 8-bit RGBA). The Alpha channel in this format will always be 1. Values can go above one, but can't be negative. ie. the range is [0, infinite).
• 16-bit float (RGB) `rgb16float` -
• 32-bit float (RGB) `rgb32float` -
• 8-bit fixed (Mono) `mono8fixed` - Single channel, where RGB will all have the same value, and Alpha will be 1.0. 8-bits per pixel.
• 16-bit fixed (Mono) `mono16fixed` - Single channel, where RGB will all have the same value, and Alpha will be 1.0. 16-bits per pixel.
• 16-bit float (Mono) `mono16float` - Single channel, where RGB will all have the same value, and Alpha will be 1.0. 16-bits per pixel.
• 32-bit float (Mono) `mono32float` - Single channel, where RGB will all have the same value, and Alpha will be 1.0. 32-bits per pixel.
• 8-bit fixed (RG) `rg8fixed` - A 2 channel format, R and G have values, while B is 0 always and Alpha is 1.0. 8-bits per channel, 16-bits total per pixel.
• 16-bit fixed (RG) `rg16fixed` - A 2 channel format, R and G have values, while B is 0 always and Alpha is 1.0. 16-bits per channel, 32-bits total per pixel.
• 16-bit float (RG) `rg16float` - A 2 channel format, R and G have values, while B is 0 always and Alpha is 1.0. 16-bits per channel, 32-bits total per pixel.
• 32-bit float (RG) `rg32float` - A 2 channel format, R and G have values, while B is 0 always and Alpha is 1.0. 32-bits per channel, 64-bits total per pixel.
• 8-bit fixed (A) `a8fixed` - An Alpha only format that has 8-bits per channel, 8-bits per pixel.
• 16-bit fixed (A) `a16fixed` - An Alpha only format that has 16-bits per channel, 16-bits per pixel.
• 16-bit float (A) `a16float` - An Alpha only format that has 16-bits per channel, 16-bits per pixel.
• 32-bit float (A) `a32float` - An Alpha only format that has 32-bits per channel, 32-bits per pixel.
• 8-bit fixed (Mono+Alpha) `monoalpha8fixed` - A 2 channel format, one value for RGB and one value for Alpha. 8-bits per channel, 16-bits per pixel.
• 16-bit fixed (Mono+Alpha) `monoalpha16fixed` - A 2 channel format, one value for RGB and one value for Alpha. 16-bits per channel, 32-bits per pixel.
• 16-bit float (Mono+Alpha) `monoalpha16float` - A 2 channel format, one value for RGB and one value for Alpha. 16-bits per channel, 32-bits per pixel.
• 32-bit float (Mono+Alpha) `monoalpha32float` - A 2 channel format, one value for RGB and one value for Alpha. 32-bits per channel, 64-bits per pixel.

## Operator Inputs

• Input 0 -

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An Operator Family that creates, composites and modifies images, and reads/writes images and movies to/from files and the network. TOPs run on the graphics card's GPU.

Any of the procedural data operators. OPs do all the work in TouchDesigner. They "cook" and output data to other OPs, which ultimately result in new images, data and audio being generated. See Node.

TouchDesigner is a hierarchy of components. "root" is the top-most network in the hierarchy. The Path is simply `/`. A typical path is `/project1/moviein1`.

The width and height of an image in pixels. Most TOPs, like the Movie File In TOP can set the image resolution. See Aspect Ratio for the width/height ratio of an image, taking into account non-square pixels.

The viewer of a node can be (1) the interior of a node (the Node Viewer), (2) a floating window (RMB->View... on node), or (3) a Pane that graphically shows the results of an operator.

A CHOP outputs one or more channels, where a channel is simply a sequence of numbers, representing motion, audio, etc. Channels are passed between CHOPs in TouchDesigner networks. See also Export.