123 lines
3.7 KiB
C++
123 lines
3.7 KiB
C++
/********************************************************
|
|
* ██████╗ ██████╗████████╗██╗
|
|
* ██╔════╝ ██╔════╝╚══██╔══╝██║
|
|
* ██║ ███╗██║ ██║ ██║
|
|
* ██║ ██║██║ ██║ ██║
|
|
* ╚██████╔╝╚██████╗ ██║ ███████╗
|
|
* ╚═════╝ ╚═════╝ ╚═╝ ╚══════╝
|
|
* Geophysical Computational Tools & Library (GCTL)
|
|
*
|
|
* Copyright (c) 2023 Yi Zhang (yizhang-geo@zju.edu.cn)
|
|
*
|
|
* GCTL is distributed under a dual licensing scheme. You can redistribute
|
|
* it and/or modify it under the terms of the GNU Lesser General Public
|
|
* License as published by the Free Software Foundation, either version 2
|
|
* of the License, or (at your option) any later version. You should have
|
|
* received a copy of the GNU Lesser General Public License along with this
|
|
* program. If not, see <http://www.gnu.org/licenses/>.
|
|
*
|
|
* If the terms and conditions of the LGPL v.2. would prevent you from using
|
|
* the GCTL, please consider the option to obtain a commercial license for a
|
|
* fee. These licenses are offered by the GCTL's original author. As a rule,
|
|
* licenses are provided "as-is", unlimited in time for a one time fee. Please
|
|
* send corresponding requests to: yizhang-geo@zju.edu.cn. Please do not forget
|
|
* to include some description of your company and the realm of its activities.
|
|
* Also add information on how to contact you by electronic and paper mail.
|
|
******************************************************/
|
|
|
|
#include "multinary.h"
|
|
|
|
#define SQRT2PI 2.5066282746310002416
|
|
|
|
gctl::multinary::multinary(){}
|
|
|
|
gctl::multinary::multinary(double mini, double maxi, double std, unsigned int num)
|
|
{
|
|
init(mini, maxi, std, num);
|
|
}
|
|
|
|
gctl::multinary::multinary(const array<double> &xs, const array<double> &stds)
|
|
{
|
|
init(xs, stds);
|
|
}
|
|
|
|
gctl::multinary::~multinary(){}
|
|
|
|
void gctl::multinary::init(double mini, double maxi, double std, unsigned int num)
|
|
{
|
|
pnum_ = num - 1;
|
|
of_ = mini;
|
|
|
|
double dm = (maxi - of_)/(num - 1);
|
|
|
|
std_.resize(pnum_, std);
|
|
mp_.resize(pnum_);
|
|
ys_.resize(pnum_);
|
|
for (size_t i = 0; i < pnum_; i++)
|
|
{
|
|
mp_[i] = dm*(i+1);
|
|
}
|
|
|
|
ys_[0] = mp_[0];
|
|
for (size_t i = 1; i < pnum_; i++)
|
|
{
|
|
ys_[i] = mp_[i] - mp_[i-1];
|
|
}
|
|
return;
|
|
}
|
|
|
|
void gctl::multinary::init(const array<double> &xs, const array<double> &stds)
|
|
{
|
|
if (xs.size() - stds.size() != 1) throw std::runtime_error("[gctl::multinary] Invalid parameters' size.");
|
|
|
|
pnum_ = xs.size() - 1;
|
|
of_ = xs.front();
|
|
|
|
std_ = stds;
|
|
mp_.resize(pnum_);
|
|
ys_.resize(pnum_);
|
|
|
|
for (size_t i = 0; i < pnum_; i++)
|
|
{
|
|
mp_[i] = xs[i+1] - of_;
|
|
}
|
|
|
|
ys_[0] = mp_[0];
|
|
for (size_t i = 1; i < pnum_; i++)
|
|
{
|
|
ys_[i] = mp_[i] - mp_[i-1];
|
|
}
|
|
return;
|
|
}
|
|
|
|
double gctl::multinary::val(double x) const
|
|
{
|
|
//return GCTL_ZERO*(x - of_) + 0.5*Pm_(x - of_) + of_;
|
|
return 0.5*Pm_(x - of_) + of_;
|
|
}
|
|
|
|
double gctl::multinary::der(double x) const
|
|
{
|
|
//return GCTL_ZERO + Pm_grad_(x - of_);
|
|
return Pm_grad_(x - of_);
|
|
}
|
|
|
|
double gctl::multinary::Pm_(double x) const
|
|
{
|
|
double pm = 0;
|
|
for (size_t i = 0; i < pnum_; i++)
|
|
{
|
|
pm += ys_[i]*(1.0 + erf((x + 0.5*ys_[i] - mp_[i])/(M_SQRT2*std_[i])));
|
|
}
|
|
return pm;
|
|
}
|
|
|
|
double gctl::multinary::Pm_grad_(double x) const
|
|
{
|
|
double gm = 0;
|
|
for (size_t i = 0; i < pnum_; i++)
|
|
{
|
|
gm += exp(-1.0*(x + 0.5*ys_[i] - mp_[i])*(x + 0.5*ys_[i] - mp_[i])/(2.0*std_[i]*std_[i]))/(SQRT2PI*std_[i]);
|
|
}
|
|
return gm;
|
|
} |