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+/******************************************************************
+Various utilities
+
+(c) 1994, 1995 Innobase Oy
+
+Created 5/30/1994 Heikki Tuuri
+*******************************************************************/
+
+/**********************************************************
+Calculates the minimum of two ulints. */
+UNIV_INLINE
+ulint
+ut_min(
+/*===*/
+ /* out: minimum */
+ ulint n1, /* in: first number */
+ ulint n2) /* in: second number */
+{
+ return((n1 <= n2) ? n1 : n2);
+}
+
+/**********************************************************
+Calculates the maximum of two ulints. */
+UNIV_INLINE
+ulint
+ut_max(
+/*===*/
+ /* out: maximum */
+ 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. */
+UNIV_INLINE
+int
+ut_ulint_cmp(
+/*=========*/
+ /* out: 1 if a > b, 0 if a == b, -1 if a < b */
+ 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. */
+UNIV_INLINE
+int
+ut_pair_cmp(
+/*========*/
+ /* out: -1 if a < b, 0 if a == b, 1 if a > b */
+ 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 remainder when divided by a power of two. */
+UNIV_INLINE
+ulint
+ut_2pow_remainder(
+/*==============*/ /* out: remainder */
+ ulint n, /* in: number to be divided */
+ ulint m) /* in: divisor; power of 2 */
+{
+ ut_ad(0x80000000 % m == 0);
+
+ return(n & (m - 1));
+}
+
+/*****************************************************************
+Calculates fast a value rounded to a multiple of a power of 2. */
+UNIV_INLINE
+ulint
+ut_2pow_round(
+/*==========*/ /* out: value of n rounded down to nearest
+ multiple of m */
+ ulint n, /* in: number to be rounded */
+ ulint m) /* in: divisor; power of 2 */
+{
+ ut_ad(0x80000000 % m == 0);
+
+ return(n & ~(m - 1));
+}
+
+/*****************************************************************
+Calculates fast the 2-logarithm of a number, rounded upward to an
+integer. */
+UNIV_INLINE
+ulint
+ut_2_log(
+/*=====*/
+ /* out: logarithm in the base 2, rounded upward */
+ 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. */
+UNIV_INLINE
+ulint
+ut_2_exp(
+/*=====*/
+ /* out: 2 to power n */
+ ulint n) /* in: number */
+{
+ return(1 << n);
+}
+
+/*****************************************************************
+Calculates fast the number rounded up to the nearest power of 2. */
+UNIV_INLINE
+ulint
+ut_2_power_up(
+/*==========*/
+ /* out: first power of 2 which is >= n */
+ ulint n) /* in: number != 0 */
+{
+ ulint res;
+
+ res = 1;
+
+ ut_ad(n > 0);
+
+ while (res < n) {
+ res = res * 2;
+ }
+
+ return(res);
+}