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
|
/* 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 Tanh
// interval Tanh(const interval& x);
// void testTanh();
interval interval_algebra::Tanh(const interval& x)
{
if (x.isEmpty()) {
return empty();
}
// value at which the lowest slope is attained: bound of the interval with the highest absolute
// value
double v = maxValAbs(x);
int sign = signMaxValAbs(x);
int precision = exactPrecisionUnary(tanh, v, sign * pow(2, x.lsb()));
if ((precision == INT_MIN) || taylor_lsb) {
precision = floor(x.lsb() - 2 * (double)log2(cosh(v)));
}
return {tanh(x.lo()), tanh(x.hi()), precision};
}
void interval_algebra::testTanh()
{
// analyzeUnaryMethod(20, 2000, "tanh", interval(-10, 10), tanh, &interval_algebra::Tanh);
analyzeUnaryMethod(20, 2000, "tanh", interval(-10, 10, 0), tanh, &interval_algebra::Tanh);
analyzeUnaryMethod(20, 2000, "tanh", interval(-10, 10, -5), tanh, &interval_algebra::Tanh);
analyzeUnaryMethod(20, 2000, "tanh", interval(-10, 10, -10), tanh, &interval_algebra::Tanh);
analyzeUnaryMethod(20, 2000, "tanh", interval(-10, 10, -15), tanh, &interval_algebra::Tanh);
analyzeUnaryMethod(20, 2000, "tanh", interval(-10, 10, -20), tanh, &interval_algebra::Tanh);
}
} // namespace itv
|
