Gen Operators

Gen operators represent the functionality involved in a Gen patcher. They can exist as object boxes in a patcher or as functions or variables in GenExpr code. They are the link between the patcher and code worlds.

Gen operators take arguments and attributes just like Max objects, but these are purely declarative. Since there is no messaging in Gen patchers, the attribute value set when the operator is created does not change. Attributes are most often used to specialize the implementation of the process the operator represents (such as setting a maximum value for param using the @max attribute.)

In many cases, the specification of an object’s argument effectively replaces the corresponding inlet. This is possible in Gen because there is no messaging and all processing is synchronous. For example, the + operator takes two inputs, but if an argument is given only one input needs to be specified as an inlet:

An inlet with no connected patchcord uses a default value instead (often zero, but check the inlet assist strings for each operator). An inlet with multiple connections adds them all together, just as with MSP signal patchcords:

Standard Operators

Many standard objects behave like the corresponding Max or MSP object, such as all arithmetic operators (including the reverse operators like !- , !/ etc.), trigonometric operators ( sin , cosh , atan2 etc.), standard math operators ( abs , floor , pow , log , etc.), boolean operators ( > , == , && (also known as and ) etc.) and other operators such as min , max , clip (also known as clamp ), scale , fold , wrap , cartopol , poltocar etc. In addition there are some operators in common with GLSL ( fract , mix , smoothstep , degrees , radians etc.) and some drawn from the jit.op operator list ( >p , ==p , absdiff etc.).

There are several predefined constants available ( pi , twopi , halfpi , invpi , degtorad , radtodeg , e , ln2 , ln10 , log10e , log2e , sqrt2 , sqrt1_2 and the same in capitalized form as PI , TWOPI etc), which can be used in place of a numeric argument to any operator:

Argument Expressions

For all objects that accept numeric arguments (e.g. [+ 2.] or [max 1.]) argument expressions can be used in their place. Argument expressions are simple statements with known inputs such as constants, gen patcher inputs, and parameter names. Many gen operators can be used as argument expressions, particularly the math operators (sqrt, cos, ...). Argument expressions can help simplify gen patchers where all that is needed is the calculation of a constant that isn't pre-defined such as 3*pi/2. For example, in the patch below:

there is a scale operator with an argument of sqrt(2)*2. Similarly, the mul (*) operator has an argument expression of 1+in2. Since in2 is the GenExpr equivalent of [in 2], it can be used in an argument expression.

Send and Receive

send and receive within gen patchers can be used to connect objects without patchcords. In gen patchers, send and receive can only be used locally. They will not connect to send and receive objects in other gen patchers or gen subpatchers. send and receive take a name argument that determines connectivity.

There can be multiple send and receive objects with the same name without issue. If there are multiple send objects with the same name, they will be summed just as if multiple patchcords were connected to the same inlet. If there are multiple receive objects with the same name, they will all receive identical input from their corresponding send objects.

Subpatchers and Abstractions

Subpatchers and abstraction in gen objects behave practically identically to standard Max subpatchers and abstractions. In gen objects, subpatchers are created with the gen operator. If the gen operator is given the name of a gen patcher as an argument, it will use it to set the titlebar of the subpatcher.

Abstractions, as with standard max abstractions, are created by saving a gen patcher, then instantiated by creating an object with the name of the saved gen file to load as the abstraction. For example, if an operator named differential is created, gen will look for the file differential.gendsp with gen~ and differential.genjit with the jitter gen objects. Instantiating abstractions this way is shorthand for setting the file attribute on the gen operator. For example, creating an operator differential is equivalent to gen @file differential. Abstractions of gen~ and gen patchers save with the .gendsp file extension and abstractions of jit.gen, jit.pix and jit.gl.pix save with the .genjit file extension.

Subpatcher/Abstractions and Parameters

Just like normal gen patchers, gen subpatchers and abstractions can also contain parameters. When used in subpatchers and abstractions, parameters behave like named inlets with default values. If nothing is connected to a parameter in a subpatcher or abstraction, the parameter will be a constant and its value will be its default.

In the above example, the subpatcher has a parameter scale with a default of 1. In the subpatcher's sidebar, we see this represented in the GenExpr code as

However, in the parent gen patcher, the parameter gets converted into a constant because nothing is connected to the parameter. The first line in the parent patcher's GenExpr sidebar reads:

which is the default value of the scale parameter.

Since subpatcher and abstraction parameters don't create their own inlets to connect objects to, there is a special operator called setparam that can be connected to any inlet for this specific purposes. setparam connects all of its inputs to a named parameter in a subpatcher or abstraction. It requires an argument specifying the name of the parameter to connect to.

When setparam is connected to a parameter, the parameter changes from being a constant to a dynamic variable equivalent to the value at the input of the setparam object.

Notice that the code in the parent subpatcher has changed from a constant to:

in is conected to the inlet of the setparam object so the scale parameter takes on that value.

Setting Parameter Defaults

The default value for param objects within gen patchers and subpatchers can be set either directly in the param object in the form param paramnamevalue(s) or in the containing gen~ object box in the form gen~ @paramname value(s). If a default is declared in both the param object and in the containing gen object box, the object box will override the value declared in the param object.

The gen~ Object

The gen~ object is specifically for operating on MSP audio signals. Unlike MSP patching however, operations in a Gen patcher are combined into a single chunk of machine code, making possible many more optimizations that can make complex processes more efficient, and allow you to design processes which must operate on a per-sample level, even with feedback loops.

Working in gen~ opens up scope to design signal processes at a lower level, even per-sample. Because of this, many operators take duration arguments in terms of samples (where the equivalent MSP objects would use milliseconds).

gen~ Operators

In addition to the standard Gen operators , which are often similar to the equivalent MSP objects (such as clip , scale , minimum , maximum , etc.), many of the operators specific to the gen~ domain mirror existing MSP objects to make the transition to gen~ easier. There are familiar converters ( dbtoa , atodb , mtof , ftom , mstosamps , sampstoms ), oscillators ( phasor , train , cycle , noise ), and modifiers ( delta , change , sah , triangle). In addition there are some lower-level operators to avoid invalid or inaudible outputs ( isnan , fixnan , isdenorm , fixdenorm , dcblock ).

A global value of samplerate is available both as an object, and as a valid value for an argument of any object.

History

In general, the Gen patcher will not allow a feedback loop (since it represents a synchronous process). To create a feedback loop in gen~ , the history operator can be used. This represents a single-sample delay (a Z-1 operation). Thus the inlet to the history operator will set the outlet value for the next sample (put another way, the outlet value of the history operator is the inlet value from the previous sample). Multiple history operators can be chained to create Z-2, Z-3 delays, but for longer and more flexible delay operators, use the delay operator.

A history operator in a Gen patcher can also be named, making it available for external control, just like a param parameter.

Delay

The delay operator delays a signal by a certain amount of time, specified in samples. The maximum delay time is specified as an argument to the delay object. You can also have a multi-tap delay by specifying the number of taps in the second argument. Each tap will have an inlet to set the delay time, and a corresponding outlet for the delayed signal.

The delay operator can be used for feedback loops, like the history operator, if the @feedback attribute is set to 1 (the default). The @interp attribute specifies which kind of interpolation is used:

• none or step: No interpolation.
• linear: Linear interpolation.
• cosine: Cosine interpolation.
• cubic: Cubic interpolation.
• spline: Catmull-Rom spline interpolation.

Data and Buffer

For more complex persistent storage of audio (or any numeric) data, gen~ offers two objects: data and buffer, which are in some ways similar to MSP’s buffer~ object. A data or buffer object has a local name, which is used by various operators in the Gen patcher to read and write the data or buffer contents, or get its properties.

Reading the contents of a data or buffer can be done using the peek , lookup , wave , sample or nearest operators. The first argument for all of these operators is the local name of a data or buffer. They all support single- or multi-channel reading (the second argument specifies the number of channels, and the last inlet the channel offset, where zero is the default).

All of these operators are essentially the same, differing only in defaults of their attributes. The attributes are:

@index specifies the meaning of the first inlet:

• samples: The first inlet is a sample index into the data or buffer.
• phase: Maps the range 0..1 to the whole data or buffer contents.
• lookup or signal: Maps the range -1..1 to the whole data or buffer contents, like the MSP lookup~ object.
• wave: Adds extra inlets for start/end (in samples), driven by a phase signal between these boundaries (0..1, similar to MSP’s wave~ object).

@boundmode specifies what to do if the index is out of range:

• ignore: Indices out of bounds are ignored (return zero).
• wrap: Indices out of bounds repeat at the opposite boundary.
• fold or mirror: Indices wrap with palindrome behavior.
• clip or clamp: Indices out of bounds use the value at the bound.

@channelmode specifies what to do if the channel is out of range. It has the same options as the @boundmode attribute.

@interp specifies what kind of interpolation is used:

• none or step: No interpolation.
• linear: Linear interpolation.
• cosine: Cosine interpolation.
• cubic: Cubic interpolation.
• spline: Catmull-Rom spline interpolation.

The nearest operator defaults to @index phase @interp none @boundmode ignore @channelmode ignore.

The sample operator defaults to @index phase @interp linear @boundmode ignore @channelmode ignore.

The peek operator defaults to @index samples @interp none @boundmode ignore @channelmode ignore.

The lookup operator defaults to @index lookup @interp linear @boundmode clamp @channelmode clamp.

The wave operator defaults to @index wave @interp linear @boundmode wrap @channelmode clamp.

Accessing the spatial properties of a data or buffer objects is done using the dim and channels operators (or the outlets of the data or buffer object itself), and writing is done using poke (non-interpolating replace) or splat (interpolating overdub).

Briefly, data should be thought of as a 64-bit buffer internal to the gen~ patcher, even though it can be copied to, and buffer should be thought of as an object which can read and write external buffer~ data. The full differences between data and buffer are:

• A data object is local to the Gen patcher, and cannot be read outside of it. On the other hand, a buffer object is a shared reference to an external MSP buffer~ object. Modifying the contents in a Gen buffer is directly modifying the contents of the MSP buffer~ object it references.
• The data object takes three arguments to set its local name, its length (in samples) and number of channels. The buffer object takes an argument to set its local name, and an optional argument to specify the name of an MSP buffer~ object to reference (instead of using the local name).
• Setting the gen~ attribute corresponding to a named data object copies in values from the corresponding MSP buffer~ , while for a named buffer object it changes the MSP buffer~ referenced. The buffer object always has the size of the buffer~ object it references (which may change). The data object has the size of its initial definition, or the size of the buffer~ object which was copied to it (whichever is smaller).
• The data object always uses 64-bit doubles, while The buffer object converts from the bit resolution of the MSP buffer~ object (currently 32-bit floats) for all read and write operations, and may be less efficient.

Technical notes

All operations in gen~ use 64-bit doubles.

The compilation process for gen~ Gen patchers and GenExprs includes an optimization that takes into account the update rate of each operator, so that any calculations that do not need to occur at sample rate (such as arithmetic on the outputs of param operators) instead process at a slower rate (determined by the host patcher vector size) for efficiency.

Jitter Gen Objects

There are three Gen objects in jitter: jit.gen , jit.pix , and jit.gl.pix . The jit.gen and jit.pix objects process Jitter matrices similar to jit.expr . The jit.gl.pix object processes textures and matrices just like jit.gl.slab . The jit.gen object is a generic matrix processing object that can handle matrices with any planecount, type and dimension. jit.pix and jit.gl.pix ,on the other hand, are specifically designed for working with pixel data. They can handle data of any type, but it must be two dimensional or less and have at most four planes.

Jitter Operators

Coordinates

Jitter Gen patchers describe the processing kernel for each cell in a matrix or texture. As the kernel is processing the input matrices, a set of coordinates is generated describing the location of the current cell being processed. The objects are just like the operators in jit.expr . They are norm , snorm , and cell with the dim operator giving the dimensions of the input matrix. norm ranges from [0, 1] across all matrix dimensions and is defined as norm = cell/dim . snorm ranges from [-1, 1] across all matrix dimensions and is defined as snorm = cell/dim*2-1. cell gives the current cell index.

Vectors

Since Jitter matrices represent arrays of vector (more than one plane) data, all Gen operators in Jitter can process vectors of any size, so Gen patchers once created work equally on any vector size. The basic binary operators + , - , * , / , and % can take vector arguments as in [+ 0.5 0.25 0.15] , which will create an addition operator adding a vector with the three components to its input. Also, the param operator can take vector default values as in [param 1 2 3 4]. Parameters can have up to 32 values in jit.gen and 4 values in jit.pix and jit.gl.pix.

The vec operator creates vector constants and packs values together in a vector. It takes default arguments for its components and casts all of its inputs to scalar values before packing them together.

The swiz operator applies a swizzle operation to vectors. In GLSL and similar shading languages, vector components can be accessed by indexing the vector with named planes. For example in GLSL you might see

or

or even

This type of operation is referred to as swizzling. The swiz operator can take named arguments using the letters r , g , b , a , as well as x , y , z , w in addition to numeric indices starting at 0. The letters are convenient for vectors with four or less planes, but for larger vectors numeric indices must be used. The compilation process automatically checks any swiz operation so arguments indexing components larger than the vector being processed will be clamped to the size of the vector.

In addition, there are the basic vector operations for spatial calculations. These are length , normalize , cross , dot , and reflect .

Sampling

Sampling operators are one of the most powerful features of Jitter Gen patchers. Sampling operators take an input and a coordinate in the range [0, 1] as an argument, returning the data at the coordinate’s position in the matrix or texture. The first argument always has to be a Gen patcher input while the second argument is an N-dimensional vector whose size is equal to the dimensionality of the input it is processing. If the coordinate argument is outside of the range [0, 1], it will be converted to a value within the range [0, 1] according to its boundmode function. Possible boundmodes are wrap , mirror , and clamp , where wrap is the default.

The two sampling operators in Jitter Gen patchers are sample and nearest. The sample operator samples values form a matrix using N-dimensional linear interpolation. The nearest operator will simply grab the value from the closest cell.

Geometry

Jitter Gen patchers include a suite of objects for generating surfaces. These include most of the shapes available in the jit.gl.gridshape object. Each surface function returns two values: the vertex position and the vertex normal. The geometry operators are sphere , torus , circle , plane , cone , and cylinder .

Color

There are two color operators in Jitter Gen patchers. They are rgb2hsl and hsl2rgb . They convert between the Red Green Blue color space and the Hue Saturation Luminance color space. If the input to these objects has an alpha component, the alpha will be passed through untouched.

jit.gen

The jit.gen object is a general purpose matrix processing object. It compiles Gen patchers into native machine code representing the kernel of an N-dimensional matrix processing routine. It follows the Jitter matrix planemapping conventions for pixel data with planes [0-4] as the ARGB channels. jit.gen can have any number of inlets and outlets, but the matrix format for the different inputs and outputs is always linked. In other words, the matrix format (planecount, type, dimensions) of the first inlet determines the matrix format for all other inputs and outputs. jit.gen makes use of parallel processing just like other parallel aware objects in Jitter for maximum performance with large matrices.

How a matrix is processed by jit.gen is dependent on the input planecount, type, and dimension of the input matrices. In addition, there is a precision attribute that sets the type of the processing kernel. The default value for precision is auto. Auto precision automatically adapts the type of the kernel dependent upon the matrix input type. In auto mode, the following mapping between input matrix type and kernel processing type is used:

• char maps to fixed
• long maps to float64
• float32 maps to float32
• float64 maps to float64

Other possible values for the precision attribute are fixed, float32, and float64. Fixed precision is the only setting that doesn’t correspond to a Jitter matrix type. Fixed precision specifies a kernel type that performs a type of floating point calculation with integers using a technique called fixed-point arithmetic. It’s very fast and provides more precision than 8-bit char operations without incurring the cost of converting to a true floating-point type. However, fixed-point arithmetic calculations have more error that can sometimes be visible when using the sampling operators. If there are noticeable artifacts, simply increase the internal precision to float32.

jit.pix

The jit.pix object is a matrix processing object specifically for pixel data. When processing matrices representing video and images, jit.pix is the best object. Internally, data is in RGBA format always. If the input has less than four planes, jit.pix will convert it to RGBA format according to the following rules:

• 1-plane, Luminance format, L to LLL1 (Luminance for RGB and 1 for Alpha)
• 2-plane Lumalpha format, LA to LLLA (Luminance for RGB and Alpha for Alpha)
• 3-plane RGB format, RGB to RGB1 (RGB for RGB and 1 for Alpha)
• 4-plane, ARGB format, ARGB to RGBA (changes the order of the channels internally)

The output of jit.pix is always a 4-plane matrix in ARGB format, which is the standard Jitter pixel planemapping. Like jit.gen , jit.pix compiles Gen patchers into C++ and makes use of Jitter’s parallel processing system. jit.pix also has a precision attribute that operates exactly the same was as it does in jit.gen .

jit.gl.pix

The jit.gl.pix object is a matrix and texture processing object specifically for pixel data that operates just like jit.gl.slab . The only difference between the two is that jit.gl.pix compiles its patcher into GLSL while jit.gl.slab reads it from a shader file. Like jit.pix , jit.gl.pix uses an internal RGBA pixel format.

Technical notes

Numerical Values in the Kernel

All numerical values in Jitter Gen patches are conceptually floating point values. This is the case even for fixed precision kernels. It is particularly important to remember this when dealing with char matrices. All char matrices are converted to the range [0, 1] internally. On output, this range is mapped back out to [0, 255] in the char type. A char value of 1 is equivalent to the floating point value of 1/255.

When using the comparison operators (==, !=, <, <=, >, >=), it's particularly important to keep in mind the floating point nature of Gen patcher internal values because of their inherent imprecision. Instead of directly testing for equality for example , it's more effective to test for whther a value falls within a certain small range (epsilon). In the example above, the absdiff operator calculates how far a value is from 1/255 and then the < op tests to see if it's within the threshold of error.

jit.pix vs. jit.gl.pix

For the most part jit.pix and jit.gl.pix will behave identically despite one being CPU-oriented and the other GPU-oriented. The differences have to do with differences in behavior between how matrix inputs are handled with jit.pix and how texture inputs are handled with jit.gl.pix . All of the inputs to jit.pix will adapt in size, type, and dimension to the left-most input. As a result, all input matrices within a jit.pix processing kernel will have the same values for the cell and dim operators. In jit.gl.pix , inputs can have different sizes. In jit.gl.pix , the values for the cell and dim operators are calculated from the properties of the left-most input (in1). A future version may include per-input cell and dim operators, but for now this is not the case.

Since the sampling operators take normalized coordinates in the range [0, 1], differently sized input textures will still be properly sampled using the norm operator since its value is independent of varying input sizes. However, in jit.gl.pix the sample and nearest operators behave differently than with jit.pix . How a texture is sampled is determined by the properties of the texture. As a consequence, sample and nearest behave the same in jit.gl.pix . To enable nearest sampling, set the @filter attribute to nearest. For linear interpolation, set @filter to linear (the default).