5.1.1.6.2. Interval¶

Implements 1D and 2D Interval Arithmetic

class CodeReview.Math.Interval.Interval(*args, **kwargs)[source]¶

Bases: object

One-dimension Interval

Initialise an interval

• Interval(inf, sup)
• else args must support the __getitem__ interface, e.g.: - Interval((inf, sup)) - Interval([inf, sup]) - Interval(interval_instance)

_check_arguments(args)[source]¶

static _intersection(i1, i2)[source]¶

static _union(i1, i2)[source]¶

copy()[source]¶

Return a clone of the interval

enlarge(dx)[source]¶

Enlarge the interval of dx

intersect(i1, i2)[source]¶

Does the interval intersect with i2?

is_empty()[source]¶

is_included_in(i1, i2)[source]¶

Is the interval included in i1?

is_outside_of(i1, i2)[source]¶

Is the interval outside of i2?

length()[source]¶

Return sup - inf

map_in(interval_reference)[source]¶

Construct a new interval shifted of interval_reference.inf

map_x_in(x)[source]¶

Return x - inf

middle()[source]¶

Return interval middle

unmap_x_in(x)[source]¶

Return x + inf

zero_length()[source]¶

Return sup == inf

class CodeReview.Math.Interval.IntervalInt(*args, **kwargs)[source]¶

Bases: CodeReview.Math.Interval.Interval

One-dimension Integer Interval

Initialise an interval

• Interval(inf, sup)
• else args must support the __getitem__ interface, e.g.: - Interval((inf, sup)) - Interval([inf, sup]) - Interval(interval_instance)

_check_arguments(args)[source]¶

length()[source]¶

Return sup - inf +1

length_float()[source]¶

Return sup - inf

class CodeReview.Math.Interval.Interval2D(x, y)[source]¶

Bases: object

Two-dimension Interval

Initialise a 2D interval

x and y must support the __getitem__ interface

area()[source]¶

Return the area

bounding_box()[source]¶

Return the corresponding bounding box (x.inf, y.inf, x.sup, y.sup)

copy()[source]¶

Return a clone of the interval

diagonal()[source]¶

Return the diagonal length

enlarge(dx)[source]¶

Enlarge the interval of dx

intersect(i2)[source]¶

Does the interval intersect with i2?

is_empty()[source]¶

is_included_in(i2)[source]¶

Is the interval included in i2?

map_in(interval_reference)[source]¶

Construct a new interval shifted of interval_reference.inf

map_xy_in(x, y)[source]¶

Return x - y.inf, y - y.inf

middle()[source]¶

Return interval middle

size()[source]¶

Return the horizontal and vertical size

unmap_xy_in(x, y)[source]¶

Return x + y.inf, y + y.inf

class CodeReview.Math.Interval.IntervalInt2D(x, y)[source]¶

Bases: CodeReview.Math.Interval.Interval2D

Two-dimension Integer Interval

Initialise a 2D interval

x and y must support the __getitem__ interface