Class NumberSet

Convenience generator to iterate over the internal intervals

Example

const set = new NumberSet([Interval.Open(-1, 0), Interval.Open(0, 1)]);
for (const interval of set) {
  console.log(interval.toString());
}
// "(-1,0)"
// "(0,1)"

Returns

The NumberSet's center(centroid) if it exists and NaN if the NumberSet is empty

Returns

The NumberSet's closure

Returns

True if x is included in this set

Returns

The NumberSet's diameter (supremum of distances between two points in the set, e.g. largest upper bound minus the smallest lower bound in our case)

Returns

True if both sets represent the same abstract set

Returns

The NumberSet's interior (all the Intervals without their endpoints)

Returns

The overlap of both sets, e.g. a new NumberSet containing all elements included in both of the source sets

Returns

True if the sets aren't disjoint, e.g. their intersection is not empty

Returns

True if the set is empty

Returns

The NumberSet's radius (in our case diameter/2)

Returns

The NumberSet scaled by the factor

Throws

RangeError if factor === Infinity or factor === -Infinity

Returns

The symmetric difference of both sets, e.g. a new NumberSet containing all elements included in exactly one of the sets

Transforms the set to its string representation by joining the intervals' string representation with ", " and surrounding the result with braces

Example

console.log(
  new NumberSet([Interval.Open(-1, 0), Interval.Open(0, 1)]).toString()
);
// "{(-1,0), (0,1)}"

Returns

This set's string representation

Returns

The NumberSet translated by the offset

Returns

The union of both sets, e.g. a new NumberSet containing all elements included in one of the source sets

Returns

The NumberSet's volume (sum of its Intervals diameter/length)

Returns

The difference of both sets, e.g. a new NumberSet containing all elements included in this and not in other

Constructs a new NumberSet from the given intervals.

Remarks

Note that the intervals are stored internally in a "normalized" manner meaning

• touching intervals are merged
• empty intervals are omitted
• the intervals are sorted by their lower bound in ascending order (included bounds have precedence)

Constructs a NumberSet from a string representation

Remarks

Expects a list of Interval string representations separated by ", " surrounded by curly braces. See fromString for more information on formatting intervals.

Prefer constructing directly from Intervals instead of strings if possible

Example

NumberSet.fromString("{(-1,0), (0,1)}").equals(new NumberSet([
 Interval.Open(-1,0), Interval.Open(0,1)
])); // true

Returns

NumberSet corresponding to the string representation

Throws

ParseError if s is malformed