1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
|
/* 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 <cmath>
#include <functional>
#include <random>
#include "check.hh"
#include "interval_algebra.hh"
#include "interval_def.hh"
namespace itv {
//------------------------------------------------------------------------------------------
// Interval Lsh
// interval Lsh(const interval& x, const interval& y);
// void testLsh();
static double lsh(double x, double k)
{
return x * pow(2, k);
}
interval interval_algebra::Lsh(const interval& x, const interval& k)
{
if (x.isEmpty() || k.isEmpty()) {
return empty();
}
interval j{pow(2, k.lo()), pow(2, k.hi())};
interval z = Mul(x, j);
return {z.lo(), z.hi(),
x.lsb() +
(int)k.lo()}; // lshifts shave some precision off the numbers, at least y.lo() bits
}
void interval_algebra::testLsh()
{
/* check("test algebra Lsh", Lsh(interval(0, 1), interval(4)), interval(0, 16));
check("test algebra Lsh", Lsh(interval(0.5, 1), interval(-1, 4)), interval(0.25, 16));
check("test algebra Lsh", Lsh(interval(-10, 10), interval(-1, 4)), interval(-160, 160));*/
analyzeBinaryMethod(10, 100000, "lshift", interval(0, 32, 0), interval(8, 8, 1), lsh,
&interval_algebra::Lsh);
analyzeBinaryMethod(10, 100000, "lshift", interval(0, 1024, 0), interval(-10, 10, 0), lsh,
&interval_algebra::Lsh);
analyzeBinaryMethod(10, 100000, "lshift", interval(0, 1024, 2), interval(-10, 10, 0), lsh,
&interval_algebra::Lsh);
analyzeBinaryMethod(10, 100000, "lshift", interval(0, 1024, 0), interval(-10, 10, 1), lsh,
&interval_algebra::Lsh);
analyzeBinaryMethod(10, 100000, "lshift", interval(0, 1024, 2), interval(-10, 10, 1), lsh,
&interval_algebra::Lsh);
}
} // namespace itv
|
