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This doc defines the theoretical nature of an NSpace and Sparse NSpace implementation.
NSpace
Definition:
- N-Dimensional Space representation
- NSpace is set of Dimensions
- Dimension is a set of Positions
- Each dimension is named
- Each co-ordinate is specified using names not numbers
IOW: Domain of each dim. is specified as a set of names
- Number of dimensions can change throughout lifecycle
- Dimensions are not ordered in a Space.
- Positions are not ordered in a Dimension
- value at fully-qualified-coordinate is of type Object
Operations
- When looking up co-ordinate - specify dimension + position
- 2 kinds of search (lookup and extract)
Questions:
- can an NSpace hold an (NSpace)value
Dimension
Definition
SparseNSpace
Characteristics:
Questions
Example:
lookup()
Given a 5Space
specify 3 ordinates in lookup
Get a 5Space (3 dims have size of 1)
extractSlice()
Given a 5Space
specify 3 ordinates in lookup
Get a 2Space
getDimensions()
returns a set of Dimensions
getDimension(String name)
returns a set of Positions
space.addDimension(Dimension dimension, String origin)
all the points in the current system have to know of new dim.
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