This Python module implements interval arithmetic.

Interval Construction

An interval can be constructed using a couple (inf, sup) or an object that support the __getitem__ interface:

Interval(inf, sup)
Interval((inf, sup))
Interval(iterable)
Interval(interval)

To clone an interval use:

interval.copy()

Properties

To get the interval boundaries use:

interval.inf
interval.sup

An empty interval is defined with inf and sup set to *None.

Operations

To compute the union of two intervals use:

i3 = i1 | i2
i1 |= i2

To compute the intersection of two intervals use:

i3 = i1 & i2
i1 &= i2

It returns an empty interval if the intersection is null.

To document:

interval[0]
interval[1]

interval1 < interval2
interval1 > interval2

interval += 1
interval + 1

interval -= 1
interval - 1

interval.enlarge(1)

interval *= 2

x in interval

interval1.is_included_in(interval2)
interval1.is_outside_of(interval2)
interval1.map_in(interval2)
interval1.map_x_in(x)
interval1.unmap_x_in(x)

interval.is_left_open
interval.is_right_open

interval.length
interval.length_float
interval.centre
interval.slice

interval.iter()

...