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/* Copyright 2023 Yann ORLAREY
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#include <algorithm>
#include <functional>
#include <random>
#include "check.hh"
#include "interval_algebra.hh"
#include "interval_def.hh"
namespace itv {
//------------------------------------------------------------------------------------------
// Interval Acos
// interval Acos(const interval& x);
// void testAcos();
interval interval_algebra::Abs(const interval& x)
{
if (x.isEmpty()) {
return empty();
}
// precision stays the same
if (x.lo() >= 0) {
return x;
}
// integer overflowing
if ((x.lsb() >= 0) && (x.lo() <= (double)INT_MIN)) {
double lo = (x.hi() >= 0) ? 0 : std::min(std::abs(x.hi()), (double)INT_MAX);
return {lo, (double)INT_MAX, x.lsb()};
}
if (x.hi() <= 0) {
return {-x.hi(), -x.lo(), x.lsb()};
}
return {0, std::max(std::abs(x.lo()), std::abs(x.hi())), x.lsb()};
}
void interval_algebra::testAbs()
{
std::cout << "Testing abs on finite intervals" << std::endl;
analyzeUnaryMethod(
10, 10000, "abs", interval(-10, 10, 0), [](double x) { return std::abs(x); },
&interval_algebra::Abs);
analyzeUnaryMethod(
10, 10000, "abs", interval(-10, 10, -15), [](double x) { return std::abs(x); },
&interval_algebra::Abs);
std::cout << "Testing abs on intervals with limit bounds" << std::endl;
check("abs", Abs(interval(INT_MIN, INT_MIN, 0)), interval(INT_MAX, INT_MAX, 0));
check("abs", Abs(interval(INT_MIN, -10, 0)), interval(10, INT_MAX, 0));
check("abs", Abs(interval(INT_MIN, 10, 0)), interval(0, INT_MAX, 0));
check("abs", Abs(interval(-10, INT_MAX, 0)), interval(0, INT_MAX, 0));
check("abs", Abs(interval(INT_MIN, INT_MIN, 5)), interval(INT_MAX, INT_MAX, 5));
check("abs", Abs(interval(INT_MIN, INT_MIN, -5)),
interval(-(float)INT_MIN, -(float)INT_MIN, -5));
}
} // namespace itv
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