Experimental:Math Combine POP

Summary

The Math Combine POP can do numerous math operations in one node, and is an expansion of the more elementary Math POP and Math Mix POP:

In addition to what Math Mix does:

• On the New page it lets you create new attributes with constant values, with more control over type and size, usable in the Combine page and output directly unless you delete them on the Output page.
• On the Pre page it has a set of pre-process blocks where you operate on one attribute per block, similar to the Math POP.
• On the Post page it has a set of post-process blocks after the Combine page, operating on one attribute at a time again, with re-ranging.
• On the Output page it gives more control over keeping or deleting temporary attributes.

Handling Inputs: Math Combine handles inputs differently than Math Mix: In the Math Combine POP you explicitly select the attributes from all the inputs, you can rename them, and these selected attributes go to the output (unless you delete them on the output page). Math Mix POP auto-names all the inputs’ attributes (in2_Tex for example), but the attributes don’t go to the output except for the first input's attributes. Math Combine POP treats inputs the same way as the Attribute Combine POP, which essentially hides which POPs the attributes come from. Note that anything you select on the Inputs page does not copy the attribute data - it remains as all references to attribute arrays in the incoming POPs.

The difference between the Uniforms page and the New page: The New page creates a full array of data, one per point constant value per point, and it is output from the POP like any attribute. Uniforms are named constant values that does not create any new data and is not output from the POP.

The Pre page and Post page (similar to the Math POP) are sequential blocks that operate on one attribute per block, with these parameters:

• Scope - which attribute to operate on
• Parameter Size (default 1) (Parameter Size means how many sets of parameters, like Parameter Size of 3 will present a set of parameters for each of X, Y and Z.
• Pre page has:
  • Order menu (Add Multiply Op, Multiply Add Op, Op Add Multiply, Op Add Multiply)
  • Multiply float
  • Add float
  • Operation - all the unary operations of the Combine page
• Post page has:
  • Re-ranging parameters
  • casting to integers, doubles, floats
• Quantize - rounding and also logic operations (> 0, == 0, …)
• Result Scope (in which attribute to put the result, whether it is an existing set of components or a new attribute)

Output page:

• Delete Attributes - which ones to delete from the output
• Delete New Attributes toggle
• Output Secondary Attributes - outputs ones created in the POP

Note that on the Common page you can select to output only the attributes that were affected in the POP, useful for cases where you want to output one attribute per POP.

Note the pop-up info contains pseudocode of the operations in this POP, for easier reading.

Attaching an Info DAT will show you raw GLSL code that is generated.

mathcombinePOP_Class

Parameters - Inputs Page

Attribute Class attrclass - ⊞ -

• Point point -

• Vertex vertex -

• Primitive primitive -

Length Mismatch lengthmismatchnotif - ⊞ -

• Ignore ignore -

• Warning warning -

• Error error -

Length Mismatch Action lengthmismatchaction - ⊞ -

• Hold hold -

• Repeat repeat -

• Zero zero -

• One one -

• None none -

Group group -

Input input -

In POP(s) input0pop -

In Attributes input0attrs - ⊞ -

• * * -

Rename to input0renameto -

Parameters - Uniforms Page

Vector vec -

Name vec0name -

Type vec0type - ⊞ -

• float float -

• float2 float2 -

• float3 float3 -

• float4 float4 -

• double double -

• double2 double2 -

• double3 double3 -

• double4 double4 -

• int int -

• int2 int2 -

• int3 int3 -

• int4 int4 -

• uint uint -

• uint2 uint2 -

• uint3 uint3 -

• uint4 uint4 -

Value vec0value - ⊞ -

• Value vec0value0 -

• Value vec0value1 -

• Value vec0value2 -

• Value vec0value3 -

Parameters - New Page

New Attribute attr -

Name attr0name - ⊞ -

• Custom custom -

• N n -

• Color color -

• Tex tex -

• PointScale pointscale -

• LineWidth linewidth -

Custom Name attr0customname -

Type attr0type - ⊞ -

• float float -

• double double -

• int int -

• uint uint -

• dir dir -

• dbl dir ddir -

Number of Components attr0numcomps - ⊞ -

• 1 1 -

• 2 2 -

• 3 3 -

• 4 4 -

Default Value attr0defvalue - ⊞ -

• Default Value attr0defvalue1 -

• Default Value attr0defvalue2 -

• Default Value attr0defvalue3 -

• Default Value attr0defvalue4 -

Parameters - Pre Page

Pre pre -

Scope pre0scope -

Parameter Size pre0parsize - ⊞ -

• 1 1 -

• 2 2 -

• 3 3 -

• 4 4 -

Order pre0order - ⊞ -

• Multiply, Add, Operation multaddop -

• Add, Multiply, Operation addmultop -

• Operation, Multiply, Add opmultadd -

• Operation, Add, Multiply opaddmult -

Multiply pre0mult -

Add pre0add -

Operation pre0oper - ⊞ -

• None none -

• abs(A) abs -

• sign(A) sign -

• sqrt(A) sqrt -

• A * A square -

• 1 / A inverse -

• floor(A) floor -

• round(A) round -

• ceil(A) ceil -

• int(A) int -

• fract(A) fract -

• degrees(A) degrees -

• radians(A) radians -

• normalize(A) normalize -

• exp10(A) exp10 -

• exp2(A) exp2 -

• exp(A) exp -

• log10(A) log10 -

• log2(A) log2 -

• ln(A) ln -

• sin(A) sin -

• cos(A) cos -

• tan(A) tan -

• asin(A) asin -

• acos(A) acos -

• atan(A) atan -

• dbtopow(A) dbtopow -

• powtodb(A) powtodb -

• dbtoamp(A) dbtoamp -

• amptodb(A) amptodb -

Quantize pre0quantize - ⊞ -

• Off off -

• Floor floor -

• Round round -

• Ceiling ceiling -

• > 0 gt0 -

• >= 0 gteq0 -

• == 0 eq0 -

• != 0 neq0 -

• <= 0 lteq0 -

• < 0 lt0 -

Result Scope pre0resultscope - ⊞ -

• Color Color -

• Color(0) Color(1) Color(2) Color(0) Color(1) Color(2) -

• N N -

• Tex Tex -

• Color.i012 Color.i012 -

Parameters - Combine Page

Combine comb -

Operation comb0oper - ⊞ -

• None none -

• A copya -

• abs(A) abs -

• sign(A) sign -

• sqrt(A) sqrt -

• A * A square -

• 1 / A inverse -

• floor(A) floor -

• round(A) round -

• ceil(A) ceil -

• int(A) int -

• fract(A) fract -

• normalize(A) normalize -

• exp10(A) exp10 -

• exp2(A) exp2 -

• exp(A) exp -

• log10(A) log10 -

• log2(A) log2 -

• ln(A) ln -

• sin(A) sin -

• cos(A) cos -

• tan(A) tan -

• asin(A) asin -

• acos(A) acos -

• atan(A) atan -

• degrees(A) degrees -

• radians(A) radians -

• length(A) length -

• compadd(A) compadd -

• compsub(A) compsub -

• compmult(A) compmult -

• compdiv(A) compdiv -

• compavg(A) compavg -

• compmin(A) compmin -

• compmax(A) compmax -

• A + B add -

• A - B asubb -

• B - A bsuba -

• A * B mult -

• A / B adivb -

• B / A bdiva -

• A ** B apowerb -

• logB(A) logba -

• avg(A, B) avg -

• min(A, B) min -

• max(A, B) max -

• mod(A, B) mod -

• int(A / B) intadivb -

• A > B gt -

• A >= B gte -

• A < B lt -

• A <= B lte -

• A == B eq -

• A != B ne -

• atan2(A, B) atan2 -

• dot(A, B) dot -

• angle(A, B) angle -

• cross(A, B) cross -

• A + B * C aaddbmultc -

• A * B + C amultbaddc -

• A + B + C aaddbaddc -

• A * B * C amultbmultc -

• rangefrom(A, B, C) rangefrom -

• rangeto(A, B, C) rangeto -

• mix(A, B, C) mix -

• A if C else B ifelse -

• loop(A, B, C) loop -

• zigzag(A, B, C) zigzag -

• clamp(A, B, C) clamp -

• smoothstep(A, B, C) smoothstep -

• B <= A < C bltealtc -

• B < A <= C bltaltec -

• B < A < C bltaltec -

• B <= A <= C bltaltec -

• reflect(A, B) reflect -

• refract(A, B, C) refract -

Scope A comb0scopea -

Scope B comb0scopeb -

Scope C comb0scopec -

Result Scope comb0result - ⊞ -

• Color Color -

• Color(0) Color(1) Color(2) Color(0) Color(1) Color(2) -

• N N -

• Tex Tex -

• Color.i012 Color.i012 -

Parameters - Post Page

Post post -

Scope post0scope -

Parameter Size post0parsize - ⊞ -

• 1 1 -

• 2 2 -

• 3 3 -

• 4 4 -

Map from Low post0fromlow -

Map from High post0fromhigh -

Map to Low post0tolow -

Map to High post0tohigh -

Quantize post0quantize - ⊞ -

• Off off -

• Floor floor -

• Round round -

• Ceiling ceiling -

• > 0 gt0 -

• >= 0 gteq0 -

• == 0 eq0 -

• != 0 neq0 -

• <= 0 lteq0 -

• < 0 lt0 -

Cast to post0castto - ⊞ -

• Automatic auto -

• Float float -

• Int int -

Result Scope post0result - ⊞ -

• Color Color -

• Color(0) Color(1) Color(2) Color(0) Color(1) Color(2) -

• N N -

• Tex Tex -

• Color.i012 Color.i012 -

Parameters - Output Page

Delete Attributes delattrs -

Delete New Attributes delnewattrs -

Output Secondary Attributes outputsecondary - ⊞ -

• * * -

Parameters - Common Page

Bypass bypass -

Delete Input Attributes delinputattrs -

Parameter Color Space parmcolorspace - ⊞ - Controls how all color parameters on this node are interpreted. The color values as treated as being in the selected color space, and are converted to the Working Color Space before they are used as part of the node's operation. Note that this does not change the color space of the node itself, as that is always in the Working Color Space.

• sRGB srgb - sRGB color space, with sRGB transfer function. Considered an SDR color space with respect to Reference White.

• sRGB - Linear srgblinear - sRGB color space, with linear transfer function. Considered an SDR color space with respect to Reference White.

• Rec.601 (NTSC) rec601ntsc - Rec.601 with NTSC primaries color space, with Rec.601 transfer function. Considered an SDR color space with respect to Reference White.

• Rec.709 rec709 - Rec.709 color space, with Rec.709 (same as Rec.2020) transfer function. Considered an SDR color space with respect to Reference White.

• Rec.2020 rec2020 - Rec.2020 color space, with Rec.2020 (same as Rec.709) transfer function. Considered an HDR color space with respect to Reference White.

• DCI-P3 dcip3 - DCI-P3 color space, with D65 white point and 2.6 gamma transfer function. Considered an HDR color space with respect to Reference White.

• DCI-P3 (D60) dcip3d60 - DCI-P3 "D60 sim" color space, with D60 white point, and 2.6 gamma transfer function. Considered an HDR color space with respect to Reference White.

• Display-P3 (D65) displayp3d65 - Display-P3 color space, with D65 white point, and sRGB gamma transfer function. Considered an HDR color space with respect to Reference White.

• ACES2065-1 aces2065-1 - ACES 2065-1 (also known as ACES AP0) color space, with a linear gamma transfer function. Considered an HDR color space with respect to Reference White.

• ACEScg acescg - ACEScg (also known as ACES AP1) color space, with a linear gamma transfer function. Considered an HDR color space with respect to Reference White.

• Passthrough passthrough - When selected, the color values will be used as-is in the operation, without any modification or attempt to convert them into the Working Color Space.

Parameter Reference White parmreferencewhite - ⊞ - When converting a parameter color value to the Working Color Space, this controls how it should be treated with respect to Reference White. If the Working Color Space is the same Reference White, then no adjustment is done. If they are different, then the Reference White level (brightness) of this color will be adjusted to the range expected by the Working Color Space. For example if the project is set to have a SDR Reference White of 120 nits, and the HDR Reference White is 80 nits, then a color of (1, 1, 1), which is 120 nits in the SDR color space, will be converted to be (1.5, 1.5, 1.5), which is 120 nits still in the HDR Working Color Space.

• Default For Color Space default - Will use either the SDR or the HDR Reference White, based on the color space selected.

• Standard (SDR) sdr - Will treat the Parameter Color Space as SDR for it's reference white value.

• High (HDR) hdr - Will treat the Parameter Color Space as HDR for it's reference white value.

Operator Inputs

• Input 0: -

Info CHOP Channels

Extra Information for the Math Combine POP can be accessed via an Info CHOP.

Common Operator Info Channels

• total_cooks - Number of times the operator has cooked since the process started.

• cook_time - Duration of the last cook in milliseconds.

• cook_frame - Frame number when this operator was last cooked relative to the component timeline.

• cook_abs_frame - Frame number when this operator was last cooked relative to the absolute time.

• cook_start_time - Time in milliseconds at which the operator started cooking in the frame it was cooked.

• cook_end_time - Time in milliseconds at which the operator finished cooking in the frame it was cooked.

• cooked_this_frame - 1 if operator was cooked this frame.

• warnings - Number of warnings in this operator if any.

• errors - Number of errors in this operator if any.

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A parameter in most CHOPs that restricts which channels of that CHOP will be affected. Normally all channels of a CHOP are affected by the operator. TOPs have Channel Mask, a similar feature.

Information associated with SOP geometry. Points and primitives (polygons, NURBS, etc.) can have any number of attributes - position (P) is standard, and built-in optional attributes are normals (N), texture coordinates (uv), color (Cd), etc.

An Operator Family that manipulates text strings: multi-line text or tables. Multi-line text is often a python Script or GLSL Shader, but can be any multi-line text. Tables are rows and columns of cells, each containing a text string.

Each SOP has a list of Points. Each point has an XYZ 3D position value plus other optional attributes. Each polygon Primitive is defined by a vertex list, which is list of point numbers.

A sequence of vertices form a Polygon in a SOP. Each vertex is an integer index into the Point List, and each Point holds an XYZ position and attributes like Normals and Texture Coordinates.

A surface type in SOPs that includes polygon, curve (NURBS and Bezier), patch (NURBS and Bezier) and other basic shapes like sphere, tube and metaball. Points and Primitives are part of the Geometry Detail, which is a part of a SOP.

An operator whose Bypass flag is set does nothing: All data going into its first input appears at its output unaffected.

A Link. The grey dashed lines between nodes is a Reference or Link that indicates one operator is getting data from another operator from any Operator Family.

The grey dashed lines between nodes is a Reference (or Link). A Reference is (1) a Parameter Reference, a parameter in an OP that is a name or path to another operator, (2) a Node Reference, an expression in a parameter or DAT script that contains the name or path of another operator, (3) a DAT Cell Reference or (4) a CHOP Channel Reference.

A Link or Reference is a dashed line between nodes that represent other data flowing between nodes. Examples are CHOP Exports, node Paths in parameters, and expressions in parameters referencing CHOP channels, DAT tables and other nodes. In contrast is a Wire that connects nodes in the same Operator Family.

A parameter reference can be setup between any two parameters by putting an expression in one parameter that refers to another parameter. This creates a Link between the two parameters such that when one changes, the other will change automatically (known in other software as a "constraint").

An Operator Family which operate on Channels (a sequence of numbers (Samples)) which are used for animation, audio, mathematics, simulation, logic, UI construction, and data streamed from/to devices and protocols.