trait DimensionalOrdering[A] extends Serializable
DimensionalOrdering is a trait whose instances each represent a strategy for ordering instances of a multidimensional type by a projection on a given dimension.
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abstract
def
compareProjection(dimension: Int)(x: A, y: A): Int
Returns an integer whose sign communicates how x's projection on a given dimension compares to y's.
Returns an integer whose sign communicates how x's projection on a given dimension compares to y's.
Denote the projection of x and y on
dimensionby x' and y' respectively. The result sign has the following meaning:- negative if x' < y' - positive if x' > y' - zero if x' == y'
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def
dimensions: Int
How many dimensions type A has.
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def
orderingBy(dimension: Int): Ordering[A]
Returns an Ordering of A in which the given dimension is the primary ordering criteria.
Returns an Ordering of A in which the given dimension is the primary ordering criteria. If x and y have the same projection on that dimension, then they are compared on the lowest dimension that is different.
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