File: t_Interval_std.py

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#! /usr/bin/env python

import openturns as ot

ot.TESTPREAMBLE()


# The 1D interface
interval1D = ot.Interval(-3, 5)
print("interval1D=", interval1D)
# The default interface
size = 2
defaultInterval = ot.Interval(2)
print("defaultInterval=", repr(defaultInterval))
# Construction from 2 Point
p1 = ot.Point(2, -1.0)
p2 = ot.Point(2, 2.0)
print("interval from 2 points=", repr(ot.Interval(p1, p2)))
print("pretty print=")
print(ot.Interval(p1, p2))
# Construction from 2 points and 2 flags
flag1 = ot.BoolCollection(2, False)
flag2 = [True, True]  # try automatic conversion to BoolCollection
interval = ot.Interval(p1, p2, flag1, flag2)
print("interval from 2 points and 2 flags=", repr(interval))
print("pretty print=")
print(interval)
# Accessors
print("lower bound=", repr(interval.getLowerBound()))
print("upper bound=", repr(interval.getUpperBound()))
print("lower bound flags=", repr(interval.getFiniteLowerBound()))
print("upper bound flags=", repr(interval.getFiniteUpperBound()))
# Check if a given interval is empty
print("interval [p1, p2] empty? ", ot.Interval(p1, p2).isEmpty())
print("interval [p2, p1] empty? ", ot.Interval(p2, p1).isEmpty())
# Intersection
interval1 = ot.Interval(p1, p2)
p3 = ot.Point(2)
p3[0] = 0.5
p3[1] = -1.5
p4 = ot.Point(2)
p4[0] = 1.5
p4[1] = 2.5
interval2 = ot.Interval(p3, p4)
print(
    "intersection of ",
    repr(interval1),
    " and ",
    repr(interval2),
    " equals ",
    repr(interval1.intersect(interval2)),
)
# Inside
p5 = (p1 + p2) * 0.5
print("is point", p5, "inside", repr(interval1), "? ", p5 in interval1)
p6 = p2 * 2.0
print("is point", p6, "inside", repr(interval1), "? ", p6 in interval1)
print("marginal(1)=", interval2.getMarginal(1))
print("marginal(1,0)=", interval2.getMarginal([1, 0]))