The module "find_disjoint_interval" of the Mastrave modelling library

Copyright and license notice of the function find_disjoint_interval

Copyright © 2006,2007,2008,2009,2010 Daniele de Rigo

The file find_disjoint_interval.m is part of Mastrave.

Mastrave is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

Mastrave is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with Mastrave. If not, see http://www.gnu.org/licenses/.

Function declaration

[interval_idx, value_idx] = find_disjoint_interval( disjoint_intervals ,
                                                    values             ,
                                                    inclusion          )

Description

Given the vectors a and b with the same size and satisfying the following conditions:
all( a < b )
all( a == sort(a) )
all( b == sort(b) )
all( b(1:end-1) <= a(2:end) )
disjoint_intervals = [ a b ] find_disjoint_interval finds the index i of a and b and the index j of another vector values such that

a(i) <= values(j) < b(i)

if inclusion == '[)' (or if it's omitted), otherwise

a(i) < values(j) <= b(i)

if inclusion == '(]' .

The sets of indexes i and j are returned respectively in the vectors interval_idx and value_idx .

Input arguments

 disjoint_intervals     ::matrix,real::
                        2-columns matrix of non-overlapping real
                        intervals sorted in ascending order

 values                 ::real::
                        vector or matrix of values for which determine
                        to which interval each of them belong 

 inclusion              ::string::
                        set which interval border check has to be
                        performed.  If omitted, default option is '[)'.
                        Valid options are:

                              option    │      meaning
                           ─────────────┼────────────────────────────────
                             '[)'       │ a(i) <= values(j) <  b(i)
                           ─────────────┼────────────────────────────────
                             '(]'       │ a(i) <  values(j) <= b(i)

Example of usage

See also:
   create_contiguous_intervals



Keywords:
   intervals, keys, indexes



version: 0.6.5

Support

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