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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 Log10
// interval Log10(const interval& x);
// void testLog10();
interval interval_algebra::Log10(const interval& x)
{
if (x.isEmpty()) {
return empty();
}
// lowest slope is at the highest bound of the interval
int precision = exactPrecisionUnary(
std::log10, x.hi(),
-std::pow(2, x.lsb())); // -pow because we take the FP number right before the higher bound
if ((precision == INT_MIN) || taylor_lsb) {
precision = floor(x.lsb() - (double)std::log2(std::abs(x.hi())) - std::log2(std::log(10)));
}
interval i = intersection(interval(0, HUGE_VAL), x);
return {log10(i.lo()), log10(i.hi()), precision};
}
void interval_algebra::testLog10()
{
analyzeUnaryMethod(10, 1000, "log10", interval(0, 10, 0), std::log10, &interval_algebra::Log10);
analyzeUnaryMethod(10, 1000, "log10", interval(0, 10, -5), std::log10,
&interval_algebra::Log10);
analyzeUnaryMethod(10, 1000, "log10", interval(0, 10, -10), std::log10,
&interval_algebra::Log10);
analyzeUnaryMethod(10, 1000, "log10", interval(0, 10, -15), std::log10,
&interval_algebra::Log10);
analyzeUnaryMethod(10, 1000, "log10", interval(0, 10, -20), std::log10,
&interval_algebra::Log10);
// check("test algebra Log", Log10(interval(1, 10)), interval(std::log10(1), std::log10(10)));
// check("test algebra Log", Log10(interval(0, 10)), interval(std::log10(0), std::log10(10)));
// check("test algebra Log", Log10(interval(-10, 10)), interval(std::log10(0), std::log10(10)));
}
} // namespace itv
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