Get rid of boost::math::constants::* and M_PI in favor of std::numbers (#6916)

include/util/cheap_ruler.hpp

@@ -4,6 +4,7 @@
 #include <cmath>
 #include <cstdint>
 #include <limits>
+#include <numbers>
 #include <tuple>
 #include <utility>
 
@@ -37,7 +38,7 @@ class CheapRuler
     static constexpr double FE = 1.0 / 298.257223563; // flattening
 
     static constexpr double E2 = FE * (2 - FE);
-    static constexpr double RAD = M_PI / 180.0;
+    static constexpr double RAD = std::numbers::pi / 180.0;
 
   public:
     explicit CheapRuler(double latitude)

include/util/coordinate_calculation.hpp

@@ -3,7 +3,7 @@
 
 #include "util/coordinate.hpp"
 
-#include <boost/math/constants/constants.hpp>
+#include <numbers>
 
 #include <algorithm>
 #include <cmath>
@@ -23,17 +23,9 @@ const constexpr double RAD_TO_DEGREE = 1. / DEGREE_TO_RAD;
 // The IUGG value for the equatorial radius is 6378.137 km (3963.19 miles)
 const constexpr long double EARTH_RADIUS = 6372797.560856;
 
-inline double degToRad(const double degree)
-{
-    using namespace boost::math::constants;
-    return degree * (pi<double>() / 180.0);
-}
+inline double degToRad(const double degree) { return degree * (std::numbers::pi / 180.0); }
 
-inline double radToDeg(const double radian)
-{
-    using namespace boost::math::constants;
-    return radian * (180.0 * (1. / pi<double>()));
-}
+inline double radToDeg(const double radian) { return radian * (180.0 * std::numbers::inv_pi); }
 } // namespace detail
 
 const constexpr static double METERS_PER_DEGREE_LAT = 110567.0;

include/util/trigonometry_table.hpp

@@ -6,7 +6,7 @@
 
 #include <limits>
 
-#include <boost/math/constants/constants.hpp>
+#include <numbers>
 
 namespace osrm::util
 {
@@ -356,25 +356,21 @@ constexpr unsigned short atan_table[4096] = {
     0xffe0, 0xffea, 0xfff4, 0xffff};
 
 // max value is pi/4
-#ifdef _MSC_VER // TODO: remove as soon as boost allows C++14 features with Visual Studio
-const constexpr double SCALING_FACTOR = 4. / M_PI * 0xFFFF;
-#else
-const constexpr double SCALING_FACTOR = 4. / boost::math::constants::pi<double>() * 0xFFFF;
-#endif
+const constexpr double SCALING_FACTOR = 4. * std::numbers::inv_pi * 0xFFFF;
 
 inline double atan2_lookup(double y, double x)
 {
-    using namespace boost::math::constants;
+    static constexpr auto half_pi = std::numbers::pi * 0.5;
 
     if (std::abs(x) < std::numeric_limits<double>::epsilon())
     {
         if (y >= 0.)
         {
-            return half_pi<double>();
+            return half_pi;
         }
         else
         {
-            return -half_pi<double>();
+            return -half_pi;
         }
     }
 
@@ -405,25 +401,25 @@ inline double atan2_lookup(double y, double x)
     case 0:
         break;
     case 1:
-        angle = pi<double>() - angle;
+        angle = std::numbers::pi - angle;
         break;
     case 2:
         angle = -angle;
         break;
     case 3:
-        angle = -pi<double>() + angle;
+        angle = -std::numbers::pi + angle;
         break;
     case 4:
-        angle = half_pi<double>() - angle;
+        angle = half_pi - angle;
         break;
     case 5:
-        angle = half_pi<double>() + angle;
+        angle = half_pi + angle;
         break;
     case 6:
-        angle = -half_pi<double>() + angle;
+        angle = -half_pi + angle;
         break;
     case 7:
-        angle = -half_pi<double>() - angle;
+        angle = -half_pi - angle;
         break;
     }
     return angle;

include/util/web_mercator.hpp

@@ -3,7 +3,7 @@
 
 #include "util/coordinate.hpp"
 
-#include <boost/math/constants/constants.hpp>
+#include <numbers>
 
 namespace osrm::util::web_mercator
 {
@@ -14,7 +14,7 @@ const constexpr double RAD_TO_DEGREE = 1. / DEGREE_TO_RAD;
 // radius used by WGS84
 const constexpr double EARTH_RADIUS_WGS84 = 6378137.0;
 // earth circumference devided by 2
-const constexpr double MAXEXTENT = EARTH_RADIUS_WGS84 * boost::math::constants::pi<double>();
+const constexpr double MAXEXTENT = EARTH_RADIUS_WGS84 * std::numbers::pi;
 // ^ math functions are not constexpr since they have side-effects (setting errno) :(
 const constexpr double EPSG3857_MAX_LATITUDE = 85.051128779806592378; // 90(4*atan(exp(pi))/pi-1)
 const constexpr double MAX_LONGITUDE = 180.0;
@@ -103,8 +103,8 @@ inline void pixelToDegree(const double shift, double &x, double &y)
     const double b = shift / 2.0;
     x = (x - b) / shift * 360.0;
     // FIXME needs to be simplified
-    const double g = (y - b) / -(shift / (2 * M_PI)) / detail::DEGREE_TO_RAD;
-    static_assert(detail::DEGREE_TO_RAD / (2 * M_PI) - 1 / 360. < 0.0001, "");
+    const double g = (y - b) / -(shift * 0.5 * std::numbers::inv_pi) / detail::DEGREE_TO_RAD;
+    static_assert(detail::DEGREE_TO_RAD * 0.5 * std::numbers::inv_pi - 1 / 360. < 0.0001, "");
     y = static_cast<double>(yToLat(g));
 }