Use Math_TAU and deg2rad/rad2deg in more places and optimize code

3 files changed, 21 insertions, 16 deletions

diff --git a/editor/plugins/canvas_item_editor_plugin.cpp b/editor/plugins/canvas_item_editor_plugin.cpp
index 498f9d5c19..72b143556d 100644
--- a/editor/plugins/canvas_item_editor_plugin.cpp
+++ b/editor/plugins/canvas_item_editor_plugin.cpp
@@ -216,8 +216,8 @@ public:
 		grid_step_x->set_value(p_grid_step.x);
 		grid_step_y->set_value(p_grid_step.y);
 		primary_grid_steps->set_value(p_primary_grid_steps);
-		rotation_offset->set_value(p_rotation_offset * (180 / Math_PI));
-		rotation_step->set_value(p_rotation_step * (180 / Math_PI));
+		rotation_offset->set_value(Math::rad2deg(p_rotation_offset));
+		rotation_step->set_value(Math::rad2deg(p_rotation_step));
 		scale_step->set_value(p_scale_step);
 	}
 
@@ -225,8 +225,8 @@ public:
 		p_grid_offset = Point2(grid_offset_x->get_value(), grid_offset_y->get_value());
 		p_grid_step = Point2(grid_step_x->get_value(), grid_step_y->get_value());
 		p_primary_grid_steps = int(primary_grid_steps->get_value());
-		p_rotation_offset = rotation_offset->get_value() / (180 / Math_PI);
-		p_rotation_step = rotation_step->get_value() / (180 / Math_PI);
+		p_rotation_offset = Math::deg2rad(rotation_offset->get_value());
+		p_rotation_step = Math::deg2rad(rotation_step->get_value());
 		p_scale_step = scale_step->get_value();
 	}
 };
@@ -5638,7 +5638,7 @@ CanvasItemEditor::CanvasItemEditor(EditorNode *p_editor) {
 	primary_grid_steps = 8; // A power-of-two value works better as a default
 	grid_step_multiplier = 0;
 	snap_rotation_offset = 0;
-	snap_rotation_step = 15 / (180 / Math_PI);
+	snap_rotation_step = Math::deg2rad(15.0);
 	snap_scale_step = 0.1f;
 	smart_snap_active = false;
 	grid_snap_active = false;
diff --git a/editor/plugins/editor_preview_plugins.cpp b/editor/plugins/editor_preview_plugins.cpp
index bdf88b82e4..63bb785c5e 100644
--- a/editor/plugins/editor_preview_plugins.cpp
+++ b/editor/plugins/editor_preview_plugins.cpp
@@ -382,7 +382,9 @@ EditorMaterialPreviewPlugin::EditorMaterialPreviewPlugin() {
 
 	int lats = 32;
 	int lons = 32;
-	float radius = 1.0;
+	const double lat_step = Math_TAU / lats;
+	const double lon_step = Math_TAU / lons;
+	real_t radius = 1.0;
 
 	Vector<Vector3> vertices;
 	Vector<Vector3> normals;
@@ -391,20 +393,20 @@ EditorMaterialPreviewPlugin::EditorMaterialPreviewPlugin() {
 	Basis tt = Basis(Vector3(0, 1, 0), Math_PI * 0.5);
 
 	for (int i = 1; i <= lats; i++) {
-		double lat0 = Math_PI * (-0.5 + (double)(i - 1) / lats);
+		double lat0 = lat_step * (i - 1) - Math_TAU / 4;
 		double z0 = Math::sin(lat0);
 		double zr0 = Math::cos(lat0);
 
-		double lat1 = Math_PI * (-0.5 + (double)i / lats);
+		double lat1 = lat_step * i - Math_TAU / 4;
 		double z1 = Math::sin(lat1);
 		double zr1 = Math::cos(lat1);
 
 		for (int j = lons; j >= 1; j--) {
-			double lng0 = 2 * Math_PI * (double)(j - 1) / lons;
+			double lng0 = lon_step * (j - 1);
 			double x0 = Math::cos(lng0);
 			double y0 = Math::sin(lng0);
 
-			double lng1 = 2 * Math_PI * (double)(j) / lons;
+			double lng1 = lon_step * j;
 			double x1 = Math::cos(lng1);
 			double y1 = Math::sin(lng1);
 
diff --git a/editor/plugins/node_3d_editor_plugin.cpp b/editor/plugins/node_3d_editor_plugin.cpp
index 6cc28ab225..3cf25f3335 100644
--- a/editor/plugins/node_3d_editor_plugin.cpp
+++ b/editor/plugins/node_3d_editor_plugin.cpp
@@ -5314,9 +5314,10 @@ void Node3DEditor::_init_indicators() {
 
 				int arrow_sides = 16;
 
+				const real_t arrow_sides_step = Math_TAU / arrow_sides;
 				for (int k = 0; k < arrow_sides; k++) {
-					Basis ma(ivec, Math_PI * 2 * float(k) / arrow_sides);
-					Basis mb(ivec, Math_PI * 2 * float(k + 1) / arrow_sides);
+					Basis ma(ivec, k * arrow_sides_step);
+					Basis mb(ivec, (k + 1) * arrow_sides_step);
 
 					for (int j = 0; j < arrow_points - 1; j++) {
 						Vector3 points[4] = {
@@ -5391,13 +5392,14 @@ void Node3DEditor::_init_indicators() {
 				int n = 128; // number of circle segments
 				int m = 6; // number of thickness segments
 
+				real_t step = Math_TAU / n;
 				for (int j = 0; j < n; ++j) {
-					Basis basis = Basis(ivec, (Math_PI * 2.0f * j) / n);
+					Basis basis = Basis(ivec, j * step);
 
 					Vector3 vertex = basis.xform(ivec2 * GIZMO_CIRCLE_SIZE);
 
 					for (int k = 0; k < m; ++k) {
-						Vector2 ofs = Vector2(Math::cos((Math_PI * 2.0 * k) / m), Math::sin((Math_PI * 2.0 * k) / m));
+						Vector2 ofs = Vector2(Math::cos((Math_TAU * k) / m), Math::sin((Math_TAU * k) / m));
 						Vector3 normal = ivec * ofs.x + ivec2 * ofs.y;
 
 						surftool->set_normal(basis.xform(normal));
@@ -5524,9 +5526,10 @@ void Node3DEditor::_init_indicators() {
 
 				int arrow_sides = 4;
 
+				const real_t arrow_sides_step = Math_TAU / arrow_sides;
 				for (int k = 0; k < 4; k++) {
-					Basis ma(ivec, Math_PI * 2 * float(k) / arrow_sides);
-					Basis mb(ivec, Math_PI * 2 * float(k + 1) / arrow_sides);
+					Basis ma(ivec, k * arrow_sides_step);
+					Basis mb(ivec, (k + 1) * arrow_sides_step);
 
 					for (int j = 0; j < arrow_points - 1; j++) {
 						Vector3 points[4] = {