Fix accuracy issue at high zoom levels in ortho view

This now uses an f64 transformation matrix (instead of f32) to transform
points on the sphere to screen coordinates. Conversion to f32 vertex
positions happens as a last step before uploading to a GPU buffer.

src/coord.rs

@@ -60,13 +60,9 @@ impl LatLonRad {
     }
 
     /// Convert to 3D Point on unit sphere.
-    pub fn to_sphere_point3(&self) -> Point3<f32> {
+    pub fn to_sphere_point3(&self) -> Point3<f64> {
         let p = self.to_sphere_xyz();
-        Point3::new(
-            p.x as f32,
-            p.y as f32,
-            p.z as f32,
-        )
+        Point3::new(p.x, p.y, p.z)
     }
 }
 

src/orthografic_view.rs

@@ -2,7 +2,7 @@ use cgmath::{Matrix3, Point3, Transform, vec3};
 use coord::{LatLonRad, TextureRect, TileCoord};
 use map_view::MapView;
 use std::collections::HashSet;
-use std::f32::consts::{PI, FRAC_1_PI};
+use std::f64::consts::{PI, FRAC_1_PI};
 use std::f64;
 
 
@@ -159,7 +159,7 @@ impl OrthograficView {
 
         let transform = Self::transformation_matrix(map_view);
 
-        let point_on_screen = |p: &Point3<f32>| {
+        let point_on_screen = |p: &Point3<_>| {
             p.x >= -1.0 && p.x <= 1.0 && p.y >= -1.0 && p.y <= 1.0
         };
 
@@ -217,22 +217,22 @@ impl OrthograficView {
         tiles
     }
 
-    pub fn transformation_matrix(map_view: &MapView) -> Matrix3<f32> {
+    pub fn transformation_matrix(map_view: &MapView) -> Matrix3<f64> {
         let (scale_x, scale_y) = {
-            let factor = 2.0f32.powf(map_view.zoom as f32) *
-                (FRAC_1_PI * map_view.tile_size as f32);
-            (factor / map_view.width as f32, factor / map_view.height as f32)
+            let factor = 2.0f64.powf(map_view.zoom) *
+                (FRAC_1_PI * map_view.tile_size as f64);
+            (factor / map_view.width, factor / map_view.height)
         };
 
-        let scale_mat: Matrix3<f32> = Matrix3::from_cols(
+        let scale_mat: Matrix3<f64> = Matrix3::from_cols(
             vec3(scale_x, 0.0, 0.0),
             vec3(0.0, scale_y, 0.0),
             vec3(0.0, 0.0, 1.0),
         );
 
-        let rot_mat_x: Matrix3<f32> = {
+        let rot_mat_x: Matrix3<f64> = {
             let center_latlon = map_view.center.to_latlon_rad();
-            let alpha = center_latlon.lon as f32 + (PI * 0.5);
+            let alpha = center_latlon.lon + (PI * 0.5);
             let cosa = alpha.cos();
             let sina = alpha.sin();
                 Matrix3::from_cols(
@@ -242,9 +242,9 @@ impl OrthograficView {
             )
         };
 
-        let rot_mat_y: Matrix3<f32> = {
+        let rot_mat_y: Matrix3<f64> = {
             let center_latlon = map_view.center.to_latlon_rad();
-            let alpha = (-center_latlon.lat) as f32;
+            let alpha = -center_latlon.lat;
             let cosa = alpha.cos();
             let sina = alpha.sin();
                 Matrix3::from_cols(
@@ -254,8 +254,8 @@ impl OrthograficView {
             )
         };
 
-        let transform = Transform::<Point3<f32>>::concat(&rot_mat_y, &rot_mat_x);
-        let transform = Transform::<Point3<f32>>::concat(&scale_mat, &transform);
+        let transform = Transform::<Point3<f64>>::concat(&rot_mat_y, &rot_mat_x);
+        let transform = Transform::<Point3<f64>>::concat(&scale_mat, &transform);
         transform
     }
 }