Geometry Nodes: Accumulate Fields Node

This function node creates a running total of a given Vector, Float, or
Int field.

Inputs:
- Value: The field to be accumulated
- Group Index: The values of this input are used to aggregate the input
into separate 'bins', creating multiple accumulations.
Outputs:
- Leading and Trailing: Returns the running totals starting
at either the first value of each accumulations or 0 respectively.
- Total: Returns the total accumulation at all positions of the field.

There's currently plenty of duplicate work happening when multiple outputs
are used that could be optimized by a future refactor to field inputs.

Differential Revision: https://developer.blender.org/D12743

Geometry Nodes: Add Selection to Attribute Statistics

This adds a bool field selection input to the Attribute Statistics node.
This is useful for running calculations on a subset of the input field data
rather that then whole set.

Differential Revision: https://developer.blender.org/D13520

Geometry Nodes: Scene Time Node

This node outputs the current scene time in seconds or in frames.
Use of this node eliminates the need to use drivers to control values
in the node tree that are driven by the scene time.
Frame is a float value to provide for subframe rendering for motion
blur.

Differential Revision: https://developer.blender.org/D13455

Geometry Nodes: Mesh Island Node

This node is a field input that outputs a separate index for each mesh island.
The indices are based on the order of the lowest-numbered vertex in each island.

Authoring help from @hooglyboogly

Differential Revision: https://developer.blender.org/D13504

Geometry Nodes: Edge Neighbors Node

Creates a new Edge Neighbors node which outputs a field
containing the number of faces connected to each edge.

Differential Revision: https://developer.blender.org/D13493

Geometry Nodes: 4 Field Inputs for Mesh Topology Data

Creates 4 new nodes which provide topology information
for the mesh. Values are interpolated from the primary
domain in each case using basic attribute interpolation.

Vertex Neighbors
- Vertex Count
- Face Count
Face Neighbors
- Vertex Count
- Neighboring Face Count
Edge Vertices
- Vertex Index 1
- Vertex Index 2
- Position 1
- Position 2
Face Area
- Face Area

Differential Revision: https://developer.blender.org/D13343

Geometry Nodes: Generalized Compare Node

Replace compare floats node with a generalized compare node. The node
allows for the comparison of float, int, string, color, and vector.

The datatypes support the following operators:
Float, Int: <, >, <=, >=, ==, !=
String: ==, !=
Color: ==, !=, lighter, darker
(using rgb_to_grayscale value as the brightness value)

Vector Supports 5 comparison modes for: ==, !=, <, >, <=, >=
Average: The average of the components of the vectors are compared.
Dot Product: The dot product of the vectors are compared.
Direction: The angle between the vectors is compared to an angle
Element-wise: The individual components of the vectors are compared.
Length: The lengths of the vectors are compared.

Differential Revision: https://developer.blender.org/D13228

Geometry Nodes: Edge Neighbors Node

Creates a new Edge Neighbors node which outputs a field
containing the number of faces connected to each edge.

Differential Revision: https://developer.blender.org/D13493

Geometry Nodes: 4 Field Inputs for Mesh Topology Data

Creates 4 new nodes which provide topology information
for the mesh. Values are interpolated from the primary
domain in each case using basic attribute interpolation.

Vertex Neighbors
- Vertex Count
- Face Count
Face Neighbors
- Vertex Count
- Neighboring Face Count
Edge Vertices
- Vertex Index 1
- Vertex Index 2
- Position 1
- Position 2
Face Area
- Face Area

Differential Revision: https://developer.blender.org/D13343

Geometry Nodes: Generalized Compare Node

Replace compare floats node with a generalized compare node. The node
allows for the comparison of float, int, string, color, and vector.

The datatypes support the following operators:
Float, Int: <, >, <=, >=, ==, !=
String: ==, !=
Color: ==, !=, lighter, darker
(using rgb_to_grayscale value as the brightness value)

Vector Supports 5 comparison modes for: ==, !=, <, >, <=, >=
Average: The average of the components of the vectors are compared.
Dot Product: The dot product of the vectors are compared.
Direction: The angle between the vectors is compared to an angle
Element-wise: The individual components of the vectors are compared.
Length: The lengths of the vectors are compared.

Differential Revision: https://developer.blender.org/D13228