Boost C++ Libraries

...one of the most highly regarded and expertly designed C++ library projects in the world. Herb Sutter and Andrei Alexandrescu, C++ Coding Standards

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Additional Interval Orderings

In addition to the standard orderings operator < and rleated > <= >= that you will find in the librarie's function synopsis, intervals implement some additional orderings that can be useful.

T

discrete
_interval

continuous
_interval

right_open
_interval

left_open
_interval

closed
_interval

open
_interval

Interval bounds

dynamic

dynamic

static

static

static

static

Form

asymmetric

asymmetric

symmetric

symmetric

Orderings

bool exclusive_less(const T&, const T&)

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bool lower_less(const T&, const T&)
bool lower_equal(const T&, const T&)
bool lower_less_equal(const T&, const T&)

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bool upper_less(const T&, const T&)
bool upper_equal(const T&, const T&)
bool upper_less_equal(const T&, const T&)

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A central role for the icl plays the exclusive_less ordering, which is used in all interval containers. The other orderings can be useful to simplify comparison of intervals specifically for dynamically bounded ones.

Orderings

Description

bool exclusive_less(const T&, const T&)

exclusive_less(x1, x2) is true if every element of interval x1 is less than every element of interval x2 w.r.t. the the intervals Compare ordering

bool lower_less(const T&, const T&)
bool lower_equal(const T&, const T&)
bool lower_less_equal(const T&, const T&)

Compares the beginnings of intervals.

lower_less(x,y)  == true; // x begins before y
lower_equal(x,y) == true; // x and y begin at the same element
lower_less_equal(x,y) == lower_less(x,y) || lower_equal(x,y);

bool upper_less(const T&, const T&)
bool upper_equal(const T&, const T&)
bool upper_less_equal(const T&, const T&)

Compares the endings of intervals.

upper_less(x,y)  == true; // x ends before y
upper_equal(x,y) == true; // x and y end at the same element
upper_less_equal(x,y) == upper_less(x,y) || upper_equal(x,y);

See also . . .

Equivalences and Orderings

Back to section . . .

Additional interval functions

Function Synopsis

Interface


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