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+/************************************************************************
+ * lib/math/lib_sqrtf.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) 2009-2011 Nick Johnson <nickbjohnson4224 at gmail.com>
+ *
+ * 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 <nuttx/config.h>
+#include <nuttx/compiler.h>
+
+#include <math.h>
+#include <errno.h>
+
+#include "lib_internal.h"
+
+/************************************************************************
+ * Public Functions
+ ************************************************************************/
+
+float sqrtf(float x)
+{
+ float y;
+
+ /* Filter out invalid/trivial inputs */
+
+ if (x < 0.0)
+ {
+ errno = EDOM;
+ return NAN;
+ }
+
+ if (isnan(x))
+ {
+ return NAN;
+ }
+
+ if (isinf(x))
+ {
+ return INFINITY;
+ }
+
+ if (x == 0.0)
+ {
+ return 0.0;
+ }
+
+ /* Guess square root (using bit manipulation) */
+
+ y = lib_sqrtapprox(x);
+
+ /* Perform three iterations of approximation. This number (3) is
+ * definitely optimal
+ */
+
+ y = 0.5 * (y + x / y);
+ y = 0.5 * (y + x / y);
+ y = 0.5 * (y + x / y);
+
+ return y;
+}