libdspl-2.0/dspl/src/math_ellipj/ellip_rat.c

78 wiersze
1.8 KiB
C

/*
* Copyright (c) 2015-2019 Sergey Bakhurin
* Digital Signal Processing Library [http://dsplib.org]
*
* This file is part of DSPL.
*
* is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* DSPL is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with Foobar. If not, see <http://www.gnu.org/licenses/>.
*/
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include "dspl.h"
#ifdef DOXYGEN_ENGLISH
#endif
#ifdef DOXYGEN_RUSSIAN
#endif
int DSPL_API ellip_rat(double* w, int n, int ord, double k, double* u)
{
double t, xi, w2, xi2, k2;
int i, m, r, L;
if(!u || !w)
return ERROR_PTR;
if(n<1)
return ERROR_SIZE;
if(k < 0.0 || k>= 1.0)
return ERROR_ELLIP_MODULE;
r = ord%2;
L = (ord-r)/2;
if(r)
memcpy(u, w, n*sizeof(double));
else
{
for(m = 0; m < n; m++)
{
u[m] = 1.0;
}
}
k2 = k*k;
for(i = 0; i < L; i++)
{
t = (double)(2*i+1) / (double)ord;
ellip_cd(&t, 1, k, &xi);
xi2 = xi*xi;
for(m = 0; m < n; m++)
{
w2 = w[m]*w[m];
u[m] *= (w2 - xi2) / (1.0 - w2 * k2 * xi2);
u[m] *= (1.0 - k2*xi2) / (1.0 - xi2);
}
}
return RES_OK;
}