dspl/ellip__acd__cmplx_8c_source.html

/*

* Copyright (c) 2015-2024 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_acd_cmplx(complex_t* w, int n, double k, complex_t* u)

{

    double lnd[ELLIP_ITER], t;

    complex_t tmp0, tmp1;

    int i, m;


    if(!u || !w)

        return ERROR_PTR;

    if(n<1)

        return ERROR_SIZE;

    if(k < 0.0 || k>= 1.0)

        return ERROR_ELLIP_MODULE;


    ellip_landen(k,ELLIP_ITER, lnd);


    for(m = 0; m < n; m++)

    {

        RE(u[m]) = RE(w[m]);

        IM(u[m]) = IM(w[m]);

        for(i = 1; i < ELLIP_ITER; i++)

        {

            RE(tmp0) = lnd[i-1]*RE(u[m]);

            IM(tmp0) = lnd[i-1]*IM(u[m]);

            RE(tmp1) = 1.0 - CMRE(tmp0, tmp0);

            IM(tmp1) =         - CMIM(tmp0, tmp0);


            sqrt_cmplx(&tmp1, 1, &tmp0);

            RE(tmp0) += 1.0;


            RE(tmp1) = RE(tmp0) * (1.0 + lnd[i]);

            IM(tmp1) = IM(tmp0) * (1.0 + lnd[i]);


            t = 2.0 / ABSSQR(tmp1);


            RE(tmp0) = t * CMCONJRE(u[m], tmp1);

            IM(tmp0) = t * CMCONJIM(u[m], tmp1);


            RE(u[m]) = RE(tmp0);

            IM(u[m]) = IM(tmp0);

        }

        acos_cmplx(&tmp0, 1, u+m);

        t = 2.0 / M_PI;

        RE(u[m]) *= t;

        IM(u[m]) *= t;

    }

    return RES_OK;

}