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/* MIT License
*
* Copyright (c) 2016--2017 Felix Lenders
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all
* copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
* SOFTWARE.
*
*/
#ifndef TRLIB_QUADRATIC_ZERO_H
#define TRLIB_QUADRATIC_ZERO_H
/** Computes real zeros of normalized quadratic polynomial.
*
* :param c_abs: absolute coefficient
* :type c_abs: trlib_flt_t, input
* :param c_lin: coefficinet of linear term
* :type c_lin: trlib_flt_t, input
* :param tol: tolerance that indicates if ill-conditioning present, good default may be :math:`\texttt{macheps}^{3/4}` (:c:macro:`TRLIB_EPS_POW_75`)
* :type tol: trlib_flt_t, input
* :param verbose: determines the verbosity level of output that is written to :c:data:`fout`
* :type verbose: trlib_int_t, input
* :param unicode: set to ``1`` if :c:data:`fout` can handle unicode, otherwise to ``0``
* :type unicode: trlib_int_t, input
* :param prefix: string that is printed before iteration output
* :type prefix: trlib_int_t, input
* :param fout: output stream
* :type fout: FILE, input
* :param t1: first zero, :math:`\texttt{t1} \le \texttt{t2}`
* :type t2: trlib_flt_t, output
* :param t2: second zero, :math:`\texttt{t1} \le \texttt{t2}`
* :type t2: trlib_flt_t, output
*
* :returns: number of zeros
* :rtype: trlib_int_t
*/
trlib_int_t trlib_quadratic_zero(trlib_flt_t c_abs, trlib_flt_t c_lin, trlib_flt_t tol,
trlib_int_t verbose, trlib_int_t unicode, char *prefix, FILE *fout,
trlib_flt_t *t1, trlib_flt_t *t2);
#endif
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