now truly isometric

src/camera.rs

@@ -42,6 +42,8 @@ impl OrbitalCamera {
 
 #[cfg(test)]
 mod tests {
+	use std::f32::consts::PI;
+
 	use approx::{abs_diff_eq, assert_ulps_eq};
 	use glam::vec3;
 
@@ -106,4 +108,30 @@ mod tests {
 			}
 		}
 	}
+
+	#[test]
+	fn test_isometric_camera() {
+		let camera = OrbitalCamera {
+			position_yaw: PI / 4.,
+			position_pitch: 0.5f32.sqrt().atan(),
+			distance: 1.0,
+		};
+
+		let s13 = (1.0f32 / 3.).sqrt();
+		assert_ulps_eq!(camera.position(), Vec3::splat(s13), max_ulps = 3);
+
+		let tfm = camera.transform();
+		let o = tfm.transform_point3(vec3(0., 0., 0.));
+		let x = tfm.transform_point3(vec3(1., 0., 0.));
+		let y = tfm.transform_point3(vec3(0., 1., 0.));
+		let z = tfm.transform_point3(vec3(0., 0., 1.));
+		let s16 = (1.0f32 / 6.).sqrt();
+		let s12 = (1.0f32 / 2.).sqrt();
+		let s23 = (2.0f32 / 3.).sqrt();
+		let d = 1.0 - s13;
+		assert_ulps_eq!(o, vec3(0., 0., 1.), max_ulps = 3);
+		assert_ulps_eq!(z, vec3(0., s23, d), max_ulps = 3);
+		assert_ulps_eq!(x, vec3(s12, -s16, d), max_ulps = 3);
+		assert_ulps_eq!(y, vec3(-s12, -s16, d), max_ulps = 3);
+	}
 }

src/main.rs

@@ -70,7 +70,7 @@ impl MainWindow {
 	fn render(&self, output: &wgpu::Texture) {
 		let camera = OrbitalCamera {
 			position_yaw: PI / 4.,
-			position_pitch: PI / 6.,
+			position_pitch: 0.5f32.sqrt().atan(),
 			distance: 3.0,
 		};
 		let aspect = {