Update code to current Chromium master

This corresponds to:

Chromium: 6555f9456074c0c0e5f7713564b978588ac04a5d
webrtc: c8b569e0a7ad0b369e15f0197b3a558699ec8efa

webrtc/modules/audio_processing/beamformer/array_util.h

@@ -12,12 +12,25 @@
 #define WEBRTC_MODULES_AUDIO_PROCESSING_BEAMFORMER_ARRAY_UTIL_H_
 
 #include <cmath>
+#include <vector>
+
+#include "webrtc/base/maybe.h"
 
 namespace webrtc {
 
-// Coordinates in meters.
+// Coordinates in meters. The convention used is:
+// x: the horizontal dimension, with positive to the right from the camera's
+//    perspective.
+// y: the depth dimension, with positive forward from the camera's
+//    perspective.
+// z: the vertical dimension, with positive upwards.
 template<typename T>
 struct CartesianPoint {
+  CartesianPoint() {
+    c[0] = 0;
+    c[1] = 0;
+    c[2] = 0;
+  }
   CartesianPoint(T x, T y, T z) {
     c[0] = x;
     c[1] = y;
@@ -31,6 +44,35 @@ struct CartesianPoint {
 
 using Point = CartesianPoint<float>;
 
+// Calculates the direction from a to b.
+Point PairDirection(const Point& a, const Point& b);
+
+float DotProduct(const Point& a, const Point& b);
+Point CrossProduct(const Point& a, const Point& b);
+
+bool AreParallel(const Point& a, const Point& b);
+bool ArePerpendicular(const Point& a, const Point& b);
+
+// Returns the minimum distance between any two Points in the given
+// |array_geometry|.
+float GetMinimumSpacing(const std::vector<Point>& array_geometry);
+
+// If the given array geometry is linear it returns the direction without
+// normalizing.
+rtc::Maybe<Point> GetDirectionIfLinear(
+    const std::vector<Point>& array_geometry);
+
+// If the given array geometry is planar it returns the normal without
+// normalizing.
+rtc::Maybe<Point> GetNormalIfPlanar(const std::vector<Point>& array_geometry);
+
+// Returns the normal of an array if it has one and it is in the xy-plane.
+rtc::Maybe<Point> GetArrayNormalIfExists(
+    const std::vector<Point>& array_geometry);
+
+// The resulting Point will be in the xy-plane.
+Point AzimuthToPoint(float azimuth);
+
 template<typename T>
 float Distance(CartesianPoint<T> a, CartesianPoint<T> b) {
   return std::sqrt((a.x() - b.x()) * (a.x() - b.x()) +
@@ -38,6 +80,11 @@ float Distance(CartesianPoint<T> a, CartesianPoint<T> b) {
                    (a.z() - b.z()) * (a.z() - b.z()));
 }
 
+// The convention used:
+// azimuth: zero is to the right from the camera's perspective, with positive
+//          angles in radians counter-clockwise.
+// elevation: zero is horizontal, with positive angles in radians upwards.
+// radius: distance from the camera in meters.
 template <typename T>
 struct SphericalPoint {
   SphericalPoint(T azimuth, T elevation, T radius) {
@@ -53,6 +100,17 @@ struct SphericalPoint {
 
 using SphericalPointf = SphericalPoint<float>;
 
+// Helper functions to transform degrees to radians and the inverse.
+template <typename T>
+T DegreesToRadians(T angle_degrees) {
+  return M_PI * angle_degrees / 180;
+}
+
+template <typename T>
+T RadiansToDegrees(T angle_radians) {
+  return 180 * angle_radians / M_PI;
+}
+
 }  // namespace webrtc
 
 #endif  // WEBRTC_MODULES_AUDIO_PROCESSING_BEAMFORMER_ARRAY_UTIL_H_