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+%% options
+
+copyright owner = Dirk Krause
+copyright year = 2014-xxxx
+license = bsd
+
+
+
+%% header
+
+/** @file dk3maui.h Mathematical operations on unsigned int.
+*/
+
+#include <dk3conf.h>
+
+#include <stdio.h>
+#if DK3_HAVE_SYS_TYPES_H
+#include <sys/types.h>
+#endif
+#if DK3_HAVE_STDINT
+#include <stdint.h>
+#endif
+#if DK3_HAVE_INTTYPES_H
+#include <inttypes.h>
+#endif
+#if DK3_HAVE_LIMITS_H
+#include <limits.h>
+#endif
+#if DK3_HAVE_MATH_H
+#include <math.h>
+#endif
+#if DK3_HAVE_FLOAT_H
+#include <float.h>
+#endif
+
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/** Addition.
+ @param a Left operand.
+ @param b Right operand.
+ @param ec Pointer to error code variable, may be NULL.
+ The variable may be set to DK3_ERROR_MATH_OVERFLOW when returning.
+ @return Summary of a and b.
+*/
+unsigned
+dk3ma_ui_add_ok(unsigned a, unsigned b, int *ec);
+
+/** Substraction.
+ @param a Left operand.
+ @param b Right operand.
+ @param ec Pointer to error code variable, may be NULL.
+ The variable may be set to DK3_ERROR_MATH_OVERFLOW when returning.
+ @return Difference of a and b.
+*/
+unsigned
+dk3ma_ui_sub_ok(unsigned a, unsigned b, int *ec);
+
+/** Multiplication.
+ @param a Left operand.
+ @param b Right operand.
+ @param ec Pointer to error code variable, may be NULL.
+ The variable may be set to DK3_ERROR_MATH_OVERFLOW when returning.
+ @return Product of a and b.
+*/
+unsigned
+dk3ma_ui_mul_ok(unsigned a, unsigned b, int *ec);
+
+/** Division.
+ @param a Left operand (nominator).
+ @param b Right operand (denominator).
+ @param ec Pointer to error code variable, may be NULL.
+ The variable may be set to DK3_ERROR_MATH_OVERFLOW or
+ DK3_ERROR_MATH_DIVZERO when returning.
+ @return Fraction of a and b.
+*/
+unsigned
+dk3ma_ui_div_ok(unsigned a, unsigned b, int *ec);
+
+/** Greatest common divisor.
+ @param a Left operand.
+ @param b Right operand.
+ The variable may be set to DK3_ERROR_MATH_OVERFLOW when returning.
+ @return Greatest common divisor of a and b.
+*/
+unsigned
+dk3ma_ui_gcd(unsigned a, unsigned b);
+
+#ifdef __cplusplus
+}
+#endif
+
+
+
+%% module
+
+
+
+#include "dk3ma.h"
+
+
+
+$!trace-include
+
+
+
+unsigned
+dk3ma_ui_add_ok(unsigned a, unsigned b, int *ec)
+{
+ if (NULL != ec) {
+ if ((DK3_U_MAX - a) < b) { *ec = DK3_ERROR_MATH_OVERFLOW; }
+ }
+ return (a + b);
+}
+
+
+
+unsigned
+dk3ma_ui_sub_ok(unsigned a, unsigned b, int *ec)
+{
+ if (NULL != ec) { if (b > a) { *ec = DK3_ERROR_MATH_OVERFLOW; } }
+ return (a - b);
+}
+
+
+
+unsigned
+dk3ma_ui_mul_ok(unsigned a, unsigned b, int *ec)
+{
+ if (NULL != ec) {
+ if (0U != a) {
+ if ((DK3_U_MAX / a) < b) { *ec = DK3_ERROR_MATH_OVERFLOW; }
+ }
+ }
+ return (a * b);
+}
+
+
+
+unsigned
+dk3ma_ui_div_ok(unsigned a, unsigned b, int *ec)
+{
+ unsigned back = (unsigned)0;
+ if (0U != b) {
+ back = a / b;
+ } else {
+ if (NULL != ec) { *ec = DK3_ERROR_MATH_DIVZERO; }
+ back = DK3_U_MAX;
+ }
+ return back;
+}
+
+
+
+unsigned
+dk3ma_ui_gcd(unsigned a, unsigned b)
+{
+ unsigned h;
+ while (0U < b) {
+ h = a % b;
+ a = b;
+ b = h;
+ }
+ if (0U == a) { a = 1U; }
+ return a;
+}
+