+ static T rad2deg(const T& val)
+ { return val*180/pi(); }
+ static T deg2rad(const T& val)
+ { return val*pi()/180; }
+
+ // normalize the value to be in a range between [min, max[
+ static T
+ normalizePeriodic(const T& min, const T& max, const T& value)
+ {
+ T range = max - min;
+ if (range < SGLimits<T>::min())
+ return min;
+ T normalized = value - range*floor((value - min)/range);
+ // two security checks that can only happen due to roundoff
+ if (value <= min)
+ return min;
+ if (max <= normalized)
+ return min;
+ return normalized;
+ }
+
+ // normalize the angle to be in a range between [-pi, pi[
+ static T
+ normalizeAngle(const T& angle)
+ { return normalizePeriodic(-pi(), pi(), angle); }
+
+ // normalize the angle to be in a range between [0, 2pi[
+ static T
+ normalizeAngle2(const T& angle)
+ { return normalizePeriodic(0, twopi(), angle); }
+
+ static T round(const T& v)
+ { return floor(v + T(0.5)); }
+ static int roundToInt(const T& v)
+ { return int(round(v)); }
+