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+/*****************************************************************************
+
+Copyright (c) 1994, 2009, Oracle and/or its affiliates. All Rights Reserved.
+
+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; version 2 of the License.
+
+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, Suite 500, Boston, MA 02110-1335 USA
+
+*****************************************************************************/
+
+/**************************************************************//**
+@file include/ut0ut.ic
+Various utilities
+
+Created 5/30/1994 Heikki Tuuri
+*******************************************************************/
+
+/******************************************************//**
+Calculates the minimum of two ulints.
+@return	minimum */
+UNIV_INLINE
+ulint
+ut_min(
+/*===*/
+	ulint	 n1,	/*!< in: first number */
+	ulint	 n2)	/*!< in: second number */
+{
+	return((n1 <= n2) ? n1 : n2);
+}
+
+/******************************************************//**
+Calculates the maximum of two ulints.
+@return	maximum */
+UNIV_INLINE
+ulint
+ut_max(
+/*===*/
+	ulint	 n1,	/*!< in: first number */
+	ulint	 n2)	/*!< in: second number */
+{
+	return((n1 <= n2) ? n2 : n1);
+}
+
+/****************************************************************//**
+Calculates minimum of two ulint-pairs. */
+UNIV_INLINE
+void
+ut_pair_min(
+/*========*/
+	ulint*	a,	/*!< out: more significant part of minimum */
+	ulint*	b,	/*!< out: less significant part of minimum */
+	ulint	a1,	/*!< in: more significant part of first pair */
+	ulint	b1,	/*!< in: less significant part of first pair */
+	ulint	a2,	/*!< in: more significant part of second pair */
+	ulint	b2)	/*!< in: less significant part of second pair */
+{
+	if (a1 == a2) {
+		*a = a1;
+		*b = ut_min(b1, b2);
+	} else if (a1 < a2) {
+		*a = a1;
+		*b = b1;
+	} else {
+		*a = a2;
+		*b = b2;
+	}
+}
+
+/******************************************************//**
+Compares two ulints.
+@return	1 if a > b, 0 if a == b, -1 if a < b */
+UNIV_INLINE
+int
+ut_ulint_cmp(
+/*=========*/
+	ulint	a,	/*!< in: ulint */
+	ulint	b)	/*!< in: ulint */
+{
+	if (a < b) {
+		return(-1);
+	} else if (a == b) {
+		return(0);
+	} else {
+		return(1);
+	}
+}
+
+/*******************************************************//**
+Compares two pairs of ulints.
+@return	-1 if a < b, 0 if a == b, 1 if a > b */
+UNIV_INLINE
+int
+ut_pair_cmp(
+/*========*/
+	ulint	a1,	/*!< in: more significant part of first pair */
+	ulint	a2,	/*!< in: less significant part of first pair */
+	ulint	b1,	/*!< in: more significant part of second pair */
+	ulint	b2)	/*!< in: less significant part of second pair */
+{
+	if (a1 > b1) {
+		return(1);
+	} else if (a1 < b1) {
+		return(-1);
+	} else if (a2 > b2) {
+		return(1);
+	} else if (a2 < b2) {
+		return(-1);
+	} else {
+		return(0);
+	}
+}
+
+/*************************************************************//**
+Calculates fast the 2-logarithm of a number, rounded upward to an
+integer.
+@return	logarithm in the base 2, rounded upward */
+UNIV_INLINE
+ulint
+ut_2_log(
+/*=====*/
+	ulint	n)	/*!< in: number != 0 */
+{
+	ulint	res;
+
+	res = 0;
+
+	ut_ad(n > 0);
+
+	n = n - 1;
+
+	for (;;) {
+		n = n / 2;
+
+		if (n == 0) {
+			break;
+		}
+
+		res++;
+	}
+
+	return(res + 1);
+}
+
+/*************************************************************//**
+Calculates 2 to power n.
+@return	2 to power n */
+UNIV_INLINE
+ulint
+ut_2_exp(
+/*=====*/
+	ulint	n)	/*!< in: number */
+{
+	return((ulint) 1 << n);
+}