dspl/asin__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 "dspl.h"


#ifdef DOXYGEN_ENGLISH


#endif

#ifdef DOXYGEN_RUSSIAN


#endif

int DSPL_API asin_cmplx(complex_t* x, int n, complex_t *y)

{

    int k;

    complex_t tmp;

    if(!x || !y)

        return ERROR_PTR;

    if(n < 1)

        return ERROR_SIZE;


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

    {

        RE(tmp) = 1.0 - CMRE(x[k], x[k]);     /* 1-x[k]^2    */

        IM(tmp) =         - CMIM(x[k], x[k]); /* 1-x[k]^2    */

        sqrt_cmplx(&tmp, 1, y+k);             /* sqrt(1 - x[k]^2) */

        RE(y[k]) -= IM(x[k]);      /* j * x[k] + sqrt(1 - x[k]^2) */

        IM(y[k]) += RE(x[k]);      /* j * x[k] + sqrt(1 - x[k]^2) */

        log_cmplx(y+k, 1, &tmp);   /* log( j * x[k] + sqrt(1 - x[k]^2) ) */

        RE(y[k]) =    IM(tmp);     /* -j * log( j * x[k] + sqrt(1 - x[k]^2) ) */

        IM(y[k]) = -RE(tmp);       /* -j * log( j * x[k] + sqrt(1 - x[k]^2) ) */

    }

    return RES_OK;

}