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- /* poly/solve_quadratic.c
- *
- * Copyright (C) 1996, 1997, 1998, 1999, 2000, 2007 Brian Gough
- *
- * This program 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.
- *
- * This program 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 this program; if not, write to the Free Software
- * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
- */
- /* solve_quadratic.c - finds the real roots of a x^2 + b x + c = 0 */
- #include "gsl__config.h"
- #include <math.h>
- #include "gsl_poly.h"
- int
- gsl_poly_solve_quadratic (double a, double b, double c,
- double *x0, double *x1)
- {
- double disc = b * b - 4 * a * c;
- if (a == 0) /* Handle linear case */
- {
- if (b == 0)
- {
- return 0;
- }
- else
- {
- *x0 = -c / b;
- return 1;
- };
- }
- if (disc > 0)
- {
- if (b == 0)
- {
- double r = fabs (0.5 * sqrt (disc) / a);
- *x0 = -r;
- *x1 = r;
- }
- else
- {
- double sgnb = (b > 0 ? 1 : -1);
- double temp = -0.5 * (b + sgnb * sqrt (disc));
- double r1 = temp / a ;
- double r2 = c / temp ;
- if (r1 < r2)
- {
- *x0 = r1 ;
- *x1 = r2 ;
- }
- else
- {
- *x0 = r2 ;
- *x1 = r1 ;
- }
- }
- return 2;
- }
- else if (disc == 0)
- {
- *x0 = -0.5 * b / a ;
- *x1 = -0.5 * b / a ;
- return 2 ;
- }
- else
- {
- return 0;
- }
- }
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