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+/* Copyright (C) 2001-2019 Peter Selinger.
+ This file is part of Potrace. It is free software and it is covered
+ by the GNU General Public License. See the file COPYING for details. */
+
+/* This header file collects some general-purpose macros (and static
+ inline functions) that are used in various places. */
+
+#ifndef AUXILIARY_H
+#define AUXILIARY_H
+
+#ifdef HAVE_CONFIG_H
+#include <config.h>
+#endif
+
+#include <stdlib.h>
+
+/* ---------------------------------------------------------------------- */
+/* point arithmetic */
+
+#include "potracelib.h"
+
+struct point_s {
+ long x;
+ long y;
+};
+typedef struct point_s point_t;
+
+typedef potrace_dpoint_t dpoint_t;
+
+/* convert point_t to dpoint_t */
+static inline dpoint_t dpoint(point_t p) {
+ dpoint_t res;
+ res.x = p.x;
+ res.y = p.y;
+ return res;
+}
+
+/* range over the straight line segment [a,b] when lambda ranges over [0,1] */
+static inline dpoint_t interval(double lambda, dpoint_t a, dpoint_t b) {
+ dpoint_t res;
+
+ res.x = a.x + lambda * (b.x - a.x);
+ res.y = a.y + lambda * (b.y - a.y);
+ return res;
+}
+
+/* ---------------------------------------------------------------------- */
+/* some useful macros. Note: the "mod" macro works correctly for
+ negative a. Also note that the test for a>=n, while redundant,
+ speeds up the mod function by 70% in the average case (significant
+ since the program spends about 16% of its time here - or 40%
+ without the test). The "floordiv" macro returns the largest integer
+ <= a/n, and again this works correctly for negative a, as long as
+ a,n are integers and n>0. */
+
+/* integer arithmetic */
+
+static inline int mod(int a, int n) {
+ return a>=n ? a%n : a>=0 ? a : n-1-(-1-a)%n;
+}
+
+static inline int floordiv(int a, int n) {
+ return a>=0 ? a/n : -1-(-1-a)/n;
+}
+
+/* Note: the following work for integers and other numeric types. */
+#undef sign
+#undef abs
+#undef min
+#undef max
+#undef sq
+#undef cu
+#define sign(x) ((x)>0 ? 1 : (x)<0 ? -1 : 0)
+#define abs(a) ((a)>0 ? (a) : -(a))
+#define min(a,b) ((a)<(b) ? (a) : (b))
+#define max(a,b) ((a)>(b) ? (a) : (b))
+#define sq(a) ((a)*(a))
+#define cu(a) ((a)*(a)*(a))
+
+#endif /* AUXILIARY_H */