--- /dev/null
+// -*- mode: c++ -*-
+
+#ifndef __FACE_DETECTOR_MATH_UTILS_H__
+#define __FACE_DETECTOR_MATH_UTILS_H__
+
+/****
+Copyright (c) 2020 Adrian I. Lam
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.
+****/
+
+#include <cmath>
+#include <initializer_list>
+#include <dlib/image_processing.h>
+
+static const double PI = 3.14159265358979;
+
+template<class T>
+static double avg(T container, double defaultValue = 0)
+{
+ if (container.size() == 0)
+ {
+ return defaultValue;
+ }
+
+ double sum = 0;
+ for (auto it = container.begin(); it != container.end(); ++it)
+ {
+ sum += *it;
+ }
+ return sum / container.size();
+}
+
+template<class... Args>
+static dlib::point centroid(Args&... args)
+{
+ std::size_t numArgs = sizeof...(args);
+ if (numArgs == 0) return dlib::point(0, 0);
+
+ double sumX = 0, sumY = 0;
+ for (auto point : {args...})
+ {
+ sumX += point.x();
+ sumY += point.y();
+ }
+
+ return dlib::point(sumX / numArgs, sumY / numArgs);
+}
+
+static inline double sq(double x)
+{
+ return x * x;
+}
+
+static double solveCosineRuleAngle(double opposite,
+ double adjacent1,
+ double adjacent2)
+{
+ // c^2 = a^2 + b^2 - 2 a b cos(C)
+ double cosC = (sq(opposite) - sq(adjacent1) - sq(adjacent2)) /
+ (-2 * adjacent1 * adjacent2);
+ return std::acos(cosC);
+}
+
+static inline double radToDeg(double rad)
+{
+ return rad * 180 / PI;
+}
+
+static inline double degToRad(double deg)
+{
+ return deg * PI / 180;
+}
+
+double dist(dlib::point& p1, dlib::point& p2)
+{
+ double xDist = p1.x() - p2.x();
+ double yDist = p1.y() - p2.y();
+
+ return std::hypot(xDist, yDist);
+}
+
+/*! Scale linearly from 0 to 1 (both end-points inclusive) */
+double linearScale01(double num, double min, double max,
+ bool clipMin = true, bool clipMax = true)
+{
+ if (num < min && clipMin) return 0.0;
+ if (num > max && clipMax) return 1.0;
+ return (num - min) / (max - min);
+}
+
+#endif