/**************************************************************************** * libc/math/lib_log.c * * This file is a part of NuttX: * * Copyright (C) 2012 Gregory Nutt. All rights reserved. * Ported by: Darcy Gong * * It derives from the Rhombs OS math library by Nick Johnson which has * a compatibile, MIT-style license: * * Copyright (C) 2009, 2010 Nick Johnson * * Permission to use, copy, modify, and distribute this software for any * purpose with or without fee is hereby granted, provided that the above * copyright notice and this permission notice appear in all copies. * * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. * ****************************************************************************/ /**************************************************************************** * Included Files ****************************************************************************/ #include #include #include #include /**************************************************************************** * Public Functions ****************************************************************************/ #ifdef CONFIG_HAVE_DOUBLE double log(double x) { double y, y_old, ey, epsilon; y = 0.0; y_old = 1.0; epsilon = DBL_EPSILON; while (y > y_old + epsilon || y < y_old - epsilon) { y_old = y; ey = exp(y); y -= (ey - x) / ey; if (y > 700.0) { y = 700.0; } if (y < -700.0) { y = -700.0; } epsilon = (fabs(y) > 1.0) ? fabs(y) * DBL_EPSILON : DBL_EPSILON; } if (y == 700.0) { return INFINITY; } if (y == -700.0) { return INFINITY; } return y; } #endif