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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 Rsh
// interval Rsh(const interval& x, const interval& y);
// void testRsh();
static double rsh(double x, double k)
{
return x * pow(2, -k);
}
interval interval_algebra::Rsh(const interval& x, const interval& k)
{
if (x.isEmpty() || k.isEmpty()) {
return empty();
}
interval j{pow(2, -k.hi()), pow(2, -k.lo())};
interval z = Mul(x, j);
return {
z.lo(), z.hi(),
x.lsb() - (int)k.hi()}; // rshifts add some precision to the numbers, at most y.hi() bits
}
void interval_algebra::testRsh()
{
// check("test algebra Rsh", Rsh(interval(8, 16), interval(4)), interval(0.5, 1));
analyzeBinaryMethod(10, 1000, "rshift", interval(0, 32, 0), interval(8, 8, 1), rsh,
&interval_algebra::Rsh);
analyzeBinaryMethod(10, 1000, "rshift", interval(0, 1024, 0), interval(-10, 10, 0), rsh,
&interval_algebra::Rsh);
analyzeBinaryMethod(10, 1000, "rshift", interval(0, 1024, 2), interval(-10, 10, 0), rsh,
&interval_algebra::Rsh);
analyzeBinaryMethod(10, 1000, "rshift", interval(0, 1024, 0), interval(-10, 10, 1), rsh,
&interval_algebra::Rsh);
analyzeBinaryMethod(10, 1000, "rshift", interval(0, 1024, 2), interval(-10, 10, 1), rsh,
&interval_algebra::Rsh);
// analyzeBinaryMethod(10, 1000, "rshift", interval(0, 32, 0), interval(-3, 0, 0), rsh,
// &interval_algebra::Rsh);
}
} // namespace itv
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