class SGMisc {
public:
static T pi() { return T(3.1415926535897932384626433832795029L); }
+ static T twopi() { return 2*T(3.1415926535897932384626433832795029L); }
+
static T min(const T& a, const T& b)
{ return a < b ? a : b; }
static T min(const T& a, const T& b, const T& c)
{ return max(max(a, b), c); }
static T max(const T& a, const T& b, const T& c, const T& d)
{ return max(max(max(a, b), c), d); }
+
+ // clip the value of a to be in the range between and including _min and _max
+ static T clip(const T& a, const T& _min, const T& _max)
+ { return max(_min, min(_max, a)); }
+
static int sign(const T& a)
{
if (a < -SGLimits<T>::min())
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)