# Asym Rank by Int

### Description
Rank objects by the distance of an integer property to a given value (or pair of values).
The assigned rank varies according to a bell-shaped curve centered at the given value.
Moreover, the ranking can be asymmetric meaning that one bell curve is used to the left of one value
and another bell curve to the right of the other value (the interval in between is ranked constantly 1).

### Input
- `SOURCE [OBJ]`: the list of objects to rank

### Output
- `CLOSE [OBJ]`: ranked objects, objects closed are ranked more highly
- `FAR [OBJ]`: ranked objects, objects further away are ranked more highly

### Parameters
- `Property`: the integer property to check
- `Use sub-properties`: when set to `true`, the values of all sub properties are also included. Sub-properties
  can be defined in the data with the `rdfs:subPropertyOf` relation.
- `Ranking curve symmetry`: When `Symmetric`, a single ranking curve centered around `Value` is used.
  When `Asymmetric`, two ranking curves and values can be specified (see below).
- `Value`: the value against which the `Property` of each object is compared
- `Threshold type`: When set to `Absolute` the `Threshold distance` is understood as an absolute distance
  from the specified `Value`. When set to `Relative`, the `Threshold distance` is understood as a
  fraction of `Value` (e.g. having a relative threshold distance of 0.5 for a value of 10 is the the same
  as having an absolute threshold distance of 5).
- `Threshold distance`: The distance at which the specified `Rank at threshold distance` is attained.
  Can either be absolute or relative, as determined by `Threshold type`. If set to 0, an indicator function
  is used as our ranking curve (i.e. all values not equal to `Value` are filtered out). If set to 1, a constant
  ranking curve with value 1 is used (i.e. ranks remain unchanged). These two options are really only useful
  in the asymmetric case.
- `Rank at threshold distance`: The rank to be attained at the specified `Threshold distance`. If set to 0,
  a bump function in the shape of	the 5th order smoothstep function on both sides of `Value` is used as our
  ranking curve (see https://en.wikipedia.org/wiki/Smoothstep). If set to 1, a constant ranking curve with value
  1 is used (i.e. ranks remain unchanged). For all values in between, the ranking curve has the shape of a
  Gaussian centred at `Value` and with peak value 1.

When `Ranking curve symmetry` is `Asymmetric` then each of the curve parameters above can be
specified individually for the left and right side, respectively. The behaviour of each of
these is the same as for the symmetric case. The left-side ranking curve is applied to all
objects where the selected `Property` lies to the left of the specified `Left value`, while
the right-side ranking curve is applied to all objects where the selected `Property` lies to
the right of the specified `Right value`. Between these two values, a constant ranking curve
of value 1 is applied and so the rank is left unchanged.