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/*
This file is part of LilyPond, the GNU music typesetter.
Copyright (C) 2012 Joe Neeman <joeneeman@gmail.com>
LilyPond 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.
LilyPond 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 LilyPond. If not, see <http://www.gnu.org/licenses/>.
*/
#include "interval-set.hh"
#include "yaffut.hh"
using namespace std;
FUNC (interval_set_union)
{
vector<Interval> ivs;
// Overlapping intervals.
ivs.push_back (Interval (-1, 1));
ivs.push_back (Interval (0, 3));
ivs.push_back (Interval (1, 2));
Interval_set result = Interval_set::interval_union (ivs);
EQUAL (result.intervals ().size (), 1);
// Compare intervals using to_string, since yaffut doesn't know how to compare intervals.
EQUAL (result.intervals ()[0].to_string (), Interval (-1, 3).to_string ());
// Non-overlapping intervals.
ivs.push_back (Interval (-5, -4));
result = Interval_set::interval_union (ivs);
EQUAL (result.intervals ().size (), 2);
EQUAL (result.intervals ()[0].to_string (), Interval (-5, -4).to_string ());
EQUAL (result.intervals ()[1].to_string (), Interval (-1, 3).to_string ());
// Infinite intervals.
ivs.push_back (Interval (-infinity_f, -4));
result = Interval_set::interval_union (ivs);
EQUAL (result.intervals ().size (), 2);
EQUAL (result.intervals ()[0].to_string (), Interval (-infinity_f, -4).to_string ());
EQUAL (result.intervals ()[1].to_string (), Interval (-1, 3).to_string ());
// Empty intervals.
ivs.push_back (Interval (infinity_f, -infinity_f));
result = Interval_set::interval_union (ivs);
EQUAL (result.intervals ().size (), 2);
}
FUNC (interval_set_nearest_point)
{
vector<Interval> ivs;
ivs.push_back (Interval (-3, -1));
ivs.push_back (Interval (1, 3));
Interval_set set = Interval_set::interval_union (ivs);
// If the point is in the set, direction does not matter.
EQUAL (set.nearest_point (-2, UP), -2);
EQUAL (set.nearest_point (-2, DOWN), -2);
EQUAL (set.nearest_point (-2, CENTER), -2);
// If the point is not in the set, direction does matter.
EQUAL (set.nearest_point (-0.5, UP), 1);
EQUAL (set.nearest_point (-0.5, DOWN), -1);
EQUAL (set.nearest_point (-0.5, CENTER), -1);
EQUAL (set.nearest_point (0.5, CENTER), 1);
// The return value can be +- infinity.
EQUAL (set.nearest_point (5, UP), infinity_f);
EQUAL (set.nearest_point (5, DOWN), 3);
EQUAL (set.nearest_point (-5, DOWN), -infinity_f);
EQUAL (set.nearest_point (-5, UP), -3);
}
FUNC (interval_set_complement)
{
vector<Interval> ivs;
ivs.push_back (Interval (-3, -1));
ivs.push_back (Interval (1, 3));
Interval_set set = Interval_set::interval_union (ivs).complement ();
EQUAL (set.intervals ().size (), 3);
EQUAL (set.intervals ()[0].to_string (), Interval (-infinity_f, -3).to_string ());
EQUAL (set.intervals ()[1].to_string (), Interval (-1, 1).to_string ());
EQUAL (set.intervals ()[2].to_string (), Interval (3, infinity_f).to_string ());
// Half-infinite sets are handled correctly.
ivs.push_back (Interval (-infinity_f, -2));
set = Interval_set::interval_union (ivs).complement ();
EQUAL (set.intervals ().size (), 2);
EQUAL (set.intervals ()[0].to_string (), Interval (-1, 1).to_string ());
EQUAL (set.intervals ()[1].to_string (), Interval (3, infinity_f).to_string ());
// Full and empty sets are handled correctly.
set = Interval_set ().complement ();
EQUAL (set.intervals ().size (), 1);
EQUAL (set.intervals ()[0].to_string (), Interval (-infinity_f, infinity_f).to_string ());
set = set.complement ();
EQUAL (set.intervals ().size (), 0);
}
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