Add gizmos for interacting with the Spiral node (#2851)

* made spiral node

* number of turns in decimal and arc-angle implementation

* logarithmic spiral

* unified log and arc spiral into spiral node

* add spiral shape in shape tool

* fix min value and degree unit

* make it compile

* impl turns handle gizmo

* chore : Refactoring PR #2851 for current code base with some fixes

* Code review

---------

Co-authored-by: Keavon Chambers <keavon@keavon.com>
Co-authored-by: Annonnymmousss <jatin02012006@gmail.com>

editor/src/messages/tool/common_functionality/gizmos/gizmo_manager.rs

@@ -10,6 +10,7 @@ use crate::messages::tool::common_functionality::shapes::circle_shape::CircleGiz
 use crate::messages::tool::common_functionality::shapes::grid_shape::GridGizmoHandler;
 use crate::messages::tool::common_functionality::shapes::polygon_shape::PolygonGizmoHandler;
 use crate::messages::tool::common_functionality::shapes::shape_utility::ShapeGizmoHandler;
+use crate::messages::tool::common_functionality::shapes::spiral_shape::SpiralGizmoHandler;
 use crate::messages::tool::common_functionality::shapes::star_shape::StarGizmoHandler;
 use glam::DVec2;
 use std::collections::VecDeque;
@@ -30,6 +31,7 @@ pub enum ShapeGizmoHandlers {
 	Arc(ArcGizmoHandler),
 	Circle(CircleGizmoHandler),
 	Grid(GridGizmoHandler),
+	Spiral(SpiralGizmoHandler),
 }
 
 impl ShapeGizmoHandlers {
@@ -42,6 +44,7 @@ impl ShapeGizmoHandlers {
 			Self::Arc(_) => "arc",
 			Self::Circle(_) => "circle",
 			Self::Grid(_) => "grid",
+			Self::Spiral(_) => "spiral",
 			Self::None => "none",
 		}
 	}
@@ -54,6 +57,7 @@ impl ShapeGizmoHandlers {
 			Self::Arc(h) => h.handle_state(layer, mouse_position, document, responses),
 			Self::Circle(h) => h.handle_state(layer, mouse_position, document, responses),
 			Self::Grid(h) => h.handle_state(layer, mouse_position, document, responses),
+			Self::Spiral(h) => h.handle_state(layer, mouse_position, document, responses),
 			Self::None => {}
 		}
 	}
@@ -66,6 +70,7 @@ impl ShapeGizmoHandlers {
 			Self::Arc(h) => h.is_any_gizmo_hovered(),
 			Self::Circle(h) => h.is_any_gizmo_hovered(),
 			Self::Grid(h) => h.is_any_gizmo_hovered(),
+			Self::Spiral(h) => h.is_any_gizmo_hovered(),
 			Self::None => false,
 		}
 	}
@@ -78,6 +83,7 @@ impl ShapeGizmoHandlers {
 			Self::Arc(h) => h.handle_click(),
 			Self::Circle(h) => h.handle_click(),
 			Self::Grid(h) => h.handle_click(),
+			Self::Spiral(h) => h.handle_click(),
 			Self::None => {}
 		}
 	}
@@ -90,6 +96,7 @@ impl ShapeGizmoHandlers {
 			Self::Arc(h) => h.handle_update(drag_start, document, input, responses),
 			Self::Circle(h) => h.handle_update(drag_start, document, input, responses),
 			Self::Grid(h) => h.handle_update(drag_start, document, input, responses),
+			Self::Spiral(h) => h.handle_update(drag_start, document, input, responses),
 			Self::None => {}
 		}
 	}
@@ -102,6 +109,7 @@ impl ShapeGizmoHandlers {
 			Self::Arc(h) => h.cleanup(),
 			Self::Circle(h) => h.cleanup(),
 			Self::Grid(h) => h.cleanup(),
+			Self::Spiral(h) => h.cleanup(),
 			Self::None => {}
 		}
 	}
@@ -122,6 +130,7 @@ impl ShapeGizmoHandlers {
 			Self::Arc(h) => h.overlays(document, layer, input, shape_editor, mouse_position, overlay_context),
 			Self::Circle(h) => h.overlays(document, layer, input, shape_editor, mouse_position, overlay_context),
 			Self::Grid(h) => h.overlays(document, layer, input, shape_editor, mouse_position, overlay_context),
+			Self::Spiral(h) => h.overlays(document, layer, input, shape_editor, mouse_position, overlay_context),
 			Self::None => {}
 		}
 	}
@@ -141,6 +150,7 @@ impl ShapeGizmoHandlers {
 			Self::Arc(h) => h.dragging_overlays(document, input, shape_editor, mouse_position, overlay_context),
 			Self::Circle(h) => h.dragging_overlays(document, input, shape_editor, mouse_position, overlay_context),
 			Self::Grid(h) => h.dragging_overlays(document, input, shape_editor, mouse_position, overlay_context),
+			Self::Spiral(h) => h.dragging_overlays(document, input, shape_editor, mouse_position, overlay_context),
 			Self::None => {}
 		}
 	}
@@ -152,6 +162,7 @@ impl ShapeGizmoHandlers {
 			Self::Arc(h) => h.mouse_cursor_icon(),
 			Self::Circle(h) => h.mouse_cursor_icon(),
 			Self::Grid(h) => h.mouse_cursor_icon(),
+			Self::Spiral(h) => h.mouse_cursor_icon(),
 			Self::None => None,
 		}
 	}
@@ -199,6 +210,10 @@ impl GizmoManager {
 		if graph_modification_utils::get_grid_id(layer, &document.network_interface).is_some() {
 			return Some(ShapeGizmoHandlers::Grid(GridGizmoHandler::default()));
 		}
+		// Spiral
+		if graph_modification_utils::get_spiral_id(layer, &document.network_interface).is_some() {
+			return Some(ShapeGizmoHandlers::Spiral(SpiralGizmoHandler::default()));
+		}
 
 		None
 	}

editor/src/messages/tool/common_functionality/gizmos/shape_gizmos/mod.rs

@@ -2,4 +2,5 @@ pub mod circle_arc_radius_handle;
 pub mod grid_rows_columns_gizmo;
 pub mod number_of_points_dial;
 pub mod point_radius_handle;
+pub mod spiral_turns_handle;
 pub mod sweep_angle_gizmo;

editor/src/messages/tool/common_functionality/gizmos/shape_gizmos/spiral_turns_handle.rs

@@ -0,0 +1,227 @@
+use crate::consts::{COLOR_OVERLAY_RED, POINT_RADIUS_HANDLE_SNAP_THRESHOLD};
+use crate::messages::message::Message;
+use crate::messages::portfolio::document::overlays::utility_types::OverlayContext;
+use crate::messages::portfolio::document::utility_types::document_metadata::LayerNodeIdentifier;
+use crate::messages::portfolio::document::utility_types::network_interface::InputConnector;
+use crate::messages::prelude::Responses;
+use crate::messages::prelude::{DocumentMessageHandler, InputPreprocessorMessageHandler, NodeGraphMessage};
+use crate::messages::tool::common_functionality::graph_modification_utils;
+use crate::messages::tool::common_functionality::shape_editor::ShapeState;
+use crate::messages::tool::common_functionality::shapes::shape_utility::extract_spiral_parameters;
+use crate::messages::tool::common_functionality::shapes::spiral_shape::calculate_spiral_endpoints;
+use glam::DVec2;
+use graph_craft::document::NodeInput;
+use graph_craft::document::value::TaggedValue;
+use graphene_std::NodeInputDecleration;
+use graphene_std::subpath::{calculate_growth_factor, spiral_point};
+use graphene_std::vector::misc::SpiralType;
+use std::collections::VecDeque;
+use std::f64::consts::TAU;
+
+#[derive(Clone, Debug, Default, PartialEq)]
+pub enum GizmoType {
+	#[default]
+	None,
+	Start,
+	End,
+}
+
+#[derive(Clone, Debug, Default, PartialEq)]
+pub enum SpiralTurnsState {
+	#[default]
+	Inactive,
+	Hover,
+	Dragging,
+}
+
+#[derive(Clone, Debug, Default)]
+pub struct SpiralTurns {
+	pub layer: Option<LayerNodeIdentifier>,
+	pub handle_state: SpiralTurnsState,
+	initial_turns: f64,
+	initial_outer_radius: f64,
+	initial_inner_radius: f64,
+	initial_growth_factor: f64,
+	initial_start_angle: f64,
+	previous_mouse_position: DVec2,
+	total_angle_delta: f64,
+	gizmo_type: GizmoType,
+	spiral_type: SpiralType,
+}
+
+impl SpiralTurns {
+	pub fn cleanup(&mut self) {
+		self.handle_state = SpiralTurnsState::Inactive;
+		self.total_angle_delta = 0.;
+		self.gizmo_type = GizmoType::None;
+		self.layer = None;
+	}
+
+	pub fn update_state(&mut self, state: SpiralTurnsState) {
+		self.handle_state = state;
+	}
+
+	pub fn hovered(&self) -> bool {
+		self.handle_state == SpiralTurnsState::Hover
+	}
+
+	pub fn is_dragging(&self) -> bool {
+		self.handle_state == SpiralTurnsState::Dragging
+	}
+
+	pub fn store_initial_parameters(
+		&mut self,
+		layer: LayerNodeIdentifier,
+		inner_radius: f64,
+		outer_radius: f64,
+		turns: f64,
+		start_angle: f64,
+		mouse_position: DVec2,
+		gizmo_type: GizmoType,
+		spiral_type: SpiralType,
+	) {
+		self.layer = Some(layer);
+		self.initial_turns = turns;
+		self.initial_growth_factor = calculate_growth_factor(inner_radius, turns, outer_radius, spiral_type);
+		self.initial_inner_radius = inner_radius;
+		self.initial_outer_radius = outer_radius;
+		self.initial_start_angle = start_angle;
+		self.previous_mouse_position = mouse_position;
+		self.spiral_type = spiral_type;
+		self.gizmo_type = gizmo_type;
+		self.update_state(SpiralTurnsState::Hover);
+	}
+
+	pub fn handle_actions(&mut self, layer: LayerNodeIdentifier, mouse_position: DVec2, document: &DocumentMessageHandler, _responses: &mut VecDeque<Message>) {
+		let viewport = document.metadata().transform_to_viewport(layer);
+
+		match &self.handle_state {
+			SpiralTurnsState::Inactive => {
+				if let Some((spiral_type, start_angle, inner_radius, outer_radius, turns, _)) = extract_spiral_parameters(layer, document) {
+					let growth_factor = calculate_growth_factor(inner_radius, turns, outer_radius, spiral_type);
+					let end_point = viewport.transform_point2(spiral_point(turns * TAU + start_angle.to_radians(), inner_radius, growth_factor, spiral_type));
+					let start_point = viewport.transform_point2(spiral_point(0. + start_angle.to_radians(), inner_radius, growth_factor, spiral_type));
+
+					if mouse_position.distance(end_point) < POINT_RADIUS_HANDLE_SNAP_THRESHOLD {
+						self.store_initial_parameters(layer, inner_radius, outer_radius, turns, start_angle, mouse_position, GizmoType::End, spiral_type);
+					} else if mouse_position.distance(start_point) < POINT_RADIUS_HANDLE_SNAP_THRESHOLD {
+						self.store_initial_parameters(layer, inner_radius, outer_radius, turns, start_angle, mouse_position, GizmoType::Start, spiral_type);
+					}
+				}
+			}
+			SpiralTurnsState::Hover | SpiralTurnsState::Dragging => {}
+		}
+	}
+
+	pub fn overlays(&self, document: &DocumentMessageHandler, layer: Option<LayerNodeIdentifier>, _shape_editor: &mut &mut ShapeState, _mouse_position: DVec2, overlay_context: &mut OverlayContext) {
+		let Some(layer) = layer.or(self.layer) else { return };
+		let viewport = document.metadata().transform_to_viewport(layer);
+
+		match &self.handle_state {
+			SpiralTurnsState::Inactive => {
+				if let Some((p1, p2)) = calculate_spiral_endpoints(layer, document, viewport, 0.).zip(calculate_spiral_endpoints(layer, document, viewport, TAU)) {
+					overlay_context.manipulator_handle(p1, false, None);
+					overlay_context.manipulator_handle(p2, false, None);
+				}
+			}
+			SpiralTurnsState::Hover | SpiralTurnsState::Dragging => {
+				// Is true only when hovered over the gizmo
+				let selected = self.layer.is_some();
+				let angle = match self.gizmo_type {
+					GizmoType::End => TAU,
+					GizmoType::Start => 0.,
+					GizmoType::None => return,
+				};
+
+				if let Some(endpoint) = calculate_spiral_endpoints(layer, document, viewport, angle) {
+					overlay_context.manipulator_handle(endpoint, selected, Some(COLOR_OVERLAY_RED));
+				}
+			}
+		}
+	}
+
+	pub fn update_number_of_turns(&mut self, document: &DocumentMessageHandler, input: &InputPreprocessorMessageHandler, responses: &mut VecDeque<Message>) {
+		use graphene_std::vector::generator_nodes::spiral::*;
+
+		let Some(layer) = self.layer else {
+			return;
+		};
+
+		let viewport = document.metadata().transform_to_viewport(layer);
+		let center = viewport.transform_point2(DVec2::ZERO);
+
+		let angle_delta = viewport
+			.inverse()
+			.transform_vector2(input.mouse.position - center)
+			.angle_to(viewport.inverse().transform_vector2(self.previous_mouse_position - center))
+			.to_degrees();
+
+		// Skip update if angle calculation produced NaN or infinity (can happen when mouse is at center)
+		// Also skip very small angle changes to reduce jitter near center
+		if !angle_delta.is_finite() || angle_delta.abs() < 0.5 {
+			self.previous_mouse_position = input.mouse.position;
+			return;
+		}
+
+		// Increase the number of turns and outer radius in unison such that growth and tightness remain same
+		let total_delta = self.total_angle_delta + angle_delta;
+		// Convert the total angle (in degrees) to number of full turns
+		let turns_delta = total_delta / 360.;
+
+		// Calculate the new outer radius based on spiral type and turn change
+		let outer_radius_change = match self.spiral_type {
+			SpiralType::Archimedean => turns_delta * (self.initial_growth_factor) * TAU,
+			SpiralType::Logarithmic => self.initial_outer_radius * ((self.initial_growth_factor * TAU * turns_delta).exp() - 1.),
+		};
+
+		// Skip if outer_radius calculation produced invalid values
+		if !outer_radius_change.is_finite() {
+			return;
+		}
+
+		let Some(node_id) = graph_modification_utils::get_spiral_id(layer, &document.network_interface) else {
+			return;
+		};
+
+		match self.gizmo_type {
+			GizmoType::Start => {
+				let sign = -1.;
+				let new_turns = (self.initial_turns + turns_delta * sign).max(0.5);
+				let new_outer_radius = (self.initial_outer_radius + outer_radius_change * sign).max(0.1);
+
+				responses.add(NodeGraphMessage::SetInput {
+					input_connector: InputConnector::node(node_id, StartAngleInput::INDEX),
+					input: NodeInput::value(TaggedValue::F64(self.initial_start_angle + total_delta), false),
+				});
+				responses.add(NodeGraphMessage::SetInput {
+					input_connector: InputConnector::node(node_id, TurnsInput::INDEX),
+					input: NodeInput::value(TaggedValue::F64(new_turns), false),
+				});
+				responses.add(NodeGraphMessage::SetInput {
+					input_connector: InputConnector::node(node_id, OuterRadiusInput::INDEX),
+					input: NodeInput::value(TaggedValue::F64(new_outer_radius), false),
+				});
+			}
+			GizmoType::End => {
+				let new_turns = (self.initial_turns + turns_delta).max(0.5);
+				let new_outer_radius = (self.initial_outer_radius + outer_radius_change).max(0.1);
+
+				responses.add(NodeGraphMessage::SetInput {
+					input_connector: InputConnector::node(node_id, TurnsInput::INDEX),
+					input: NodeInput::value(TaggedValue::F64(new_turns), false),
+				});
+				responses.add(NodeGraphMessage::SetInput {
+					input_connector: InputConnector::node(node_id, OuterRadiusInput::INDEX),
+					input: NodeInput::value(TaggedValue::F64(new_outer_radius), false),
+				});
+			}
+			GizmoType::None => {
+				return;
+			}
+		}
+
+		responses.add(NodeGraphMessage::RunDocumentGraph);
+		self.total_angle_delta += angle_delta;
+		self.previous_mouse_position = input.mouse.position;
+	}
+}

editor/src/messages/tool/common_functionality/shapes/shape_utility.rs

@@ -18,7 +18,7 @@ use graph_craft::document::value::TaggedValue;
 use graphene_std::NodeInputDecleration;
 use graphene_std::subpath::{self, Subpath};
 use graphene_std::vector::click_target::ClickTargetType;
-use graphene_std::vector::misc::{ArcType, GridType, dvec2_to_point};
+use graphene_std::vector::misc::{ArcType, GridType, SpiralType, dvec2_to_point};
 use kurbo::{BezPath, PathEl, Shape};
 use std::collections::VecDeque;
 use std::f64::consts::{PI, TAU};
@@ -293,6 +293,35 @@ pub fn extract_arc_parameters(layer: Option<LayerNodeIdentifier>, document: &Doc
 	Some((radius, start_angle, sweep_angle, arc_type))
 }
 
+/// Extract the node input values of spiral.
+/// Returns an option of (spiral type, start angle, inner radius, outer radius, turns, angle resolution).
+pub fn extract_spiral_parameters(layer: LayerNodeIdentifier, document: &DocumentMessageHandler) -> Option<(SpiralType, f64, f64, f64, f64, f64)> {
+	use graphene_std::vector::generator_nodes::spiral::*;
+
+	let node_inputs = NodeGraphLayer::new(layer, &document.network_interface).find_node_inputs(&DefinitionIdentifier::ProtoNode(graphene_std::vector::generator_nodes::spiral::IDENTIFIER))?;
+
+	let (
+		Some(&TaggedValue::SpiralType(spiral_type)),
+		Some(&TaggedValue::F64(start_angle)),
+		Some(&TaggedValue::F64(inner_radius)),
+		Some(&TaggedValue::F64(outer_radius)),
+		Some(&TaggedValue::F64(turns)),
+		Some(&TaggedValue::F64(angle_resolution)),
+	) = (
+		node_inputs.get(SpiralTypeInput::INDEX)?.as_value(),
+		node_inputs.get(StartAngleInput::INDEX)?.as_value(),
+		node_inputs.get(InnerRadiusInput::INDEX)?.as_value(),
+		node_inputs.get(OuterRadiusInput::INDEX)?.as_value(),
+		node_inputs.get(TurnsInput::INDEX)?.as_value(),
+		node_inputs.get(AngularResolutionInput::INDEX)?.as_value(),
+	)
+	else {
+		return None;
+	};
+
+	Some((spiral_type, start_angle, inner_radius, outer_radius, turns, angle_resolution))
+}
+
 /// Calculate the viewport positions of arc endpoints
 pub fn arc_end_points(layer: Option<LayerNodeIdentifier>, document: &DocumentMessageHandler) -> Option<(DVec2, DVec2)> {
 	let (radius, start_angle, sweep_angle, _) = extract_arc_parameters(Some(layer?), document)?;

editor/src/messages/tool/common_functionality/shapes/spiral_shape.rs

@@ -1,9 +1,14 @@
 use super::*;
+use crate::messages::frontend::utility_types::MouseCursorIcon;
 use crate::messages::portfolio::document::graph_operation::utility_types::TransformIn;
 use crate::messages::portfolio::document::node_graph::document_node_definitions::{DefinitionIdentifier, resolve_document_node_type};
+use crate::messages::portfolio::document::overlays::utility_types::OverlayContext;
 use crate::messages::portfolio::document::utility_types::document_metadata::LayerNodeIdentifier;
 use crate::messages::portfolio::document::utility_types::network_interface::{InputConnector, NodeTemplate};
+use crate::messages::tool::common_functionality::gizmos::shape_gizmos::spiral_turns_handle::{SpiralTurns, SpiralTurnsState};
 use crate::messages::tool::common_functionality::graph_modification_utils::{self, NodeGraphLayer};
+use crate::messages::tool::common_functionality::shape_editor::ShapeState;
+use crate::messages::tool::common_functionality::shapes::shape_utility::{ShapeGizmoHandler, extract_spiral_parameters};
 use crate::messages::tool::common_functionality::snapping::{SnapCandidatePoint, SnapData, SnapTypeConfiguration};
 use crate::messages::tool::tool_messages::shape_tool::ShapeOptionsUpdate;
 use crate::messages::tool::tool_messages::tool_prelude::*;
@@ -11,9 +16,82 @@ use glam::DAffine2;
 use graph_craft::document::NodeInput;
 use graph_craft::document::value::TaggedValue;
 use graphene_std::NodeInputDecleration;
+use graphene_std::subpath::{calculate_growth_factor, spiral_point};
 use graphene_std::vector::misc::SpiralType;
 use std::collections::VecDeque;
 
+#[derive(Clone, Debug, Default)]
+pub struct SpiralGizmoHandler {
+	turns_handle: SpiralTurns,
+}
+
+impl ShapeGizmoHandler for SpiralGizmoHandler {
+	fn is_any_gizmo_hovered(&self) -> bool {
+		self.turns_handle.hovered()
+	}
+
+	fn handle_state(&mut self, selected_spiral_layer: LayerNodeIdentifier, mouse_position: DVec2, document: &DocumentMessageHandler, responses: &mut VecDeque<Message>) {
+		self.turns_handle.handle_actions(selected_spiral_layer, mouse_position, document, responses);
+	}
+
+	fn handle_click(&mut self) {
+		if self.turns_handle.hovered() {
+			self.turns_handle.update_state(SpiralTurnsState::Dragging);
+		}
+	}
+
+	fn handle_update(&mut self, _drag_start: DVec2, document: &DocumentMessageHandler, input: &InputPreprocessorMessageHandler, responses: &mut VecDeque<Message>) {
+		if self.turns_handle.is_dragging() {
+			self.turns_handle.update_number_of_turns(document, input, responses);
+		}
+	}
+
+	fn overlays(
+		&self,
+		document: &DocumentMessageHandler,
+		selected_spiral_layer: Option<LayerNodeIdentifier>,
+		_input: &InputPreprocessorMessageHandler,
+		shape_editor: &mut &mut ShapeState,
+		mouse_position: DVec2,
+		overlay_context: &mut OverlayContext,
+	) {
+		self.turns_handle.overlays(document, selected_spiral_layer, shape_editor, mouse_position, overlay_context);
+	}
+
+	fn dragging_overlays(
+		&self,
+		document: &DocumentMessageHandler,
+		_input: &InputPreprocessorMessageHandler,
+		shape_editor: &mut &mut ShapeState,
+		mouse_position: DVec2,
+		overlay_context: &mut OverlayContext,
+	) {
+		if self.turns_handle.is_dragging() {
+			self.turns_handle.overlays(document, None, shape_editor, mouse_position, overlay_context);
+		}
+	}
+
+	fn mouse_cursor_icon(&self) -> Option<MouseCursorIcon> {
+		if self.turns_handle.hovered() || self.turns_handle.is_dragging() {
+			return Some(MouseCursorIcon::Default);
+		}
+		None
+	}
+
+	fn cleanup(&mut self) {
+		self.turns_handle.cleanup();
+	}
+}
+
+/// Calculates the position of a spiral endpoint at a given angle offset (0 = start, TAU = end).
+pub fn calculate_spiral_endpoints(layer: LayerNodeIdentifier, document: &DocumentMessageHandler, viewport: DAffine2, theta: f64) -> Option<DVec2> {
+	let (spiral_type, start_angle, a, outer_radius, turns, _) = extract_spiral_parameters(layer, document)?;
+	let b = calculate_growth_factor(a, turns, outer_radius, spiral_type);
+	let theta = turns * theta + start_angle.to_radians();
+
+	Some(viewport.transform_point2(spiral_point(theta, a, b, spiral_type)))
+}
+
 #[derive(Default)]
 pub struct Spiral;
 

node-graph/libraries/vector-types/src/subpath/core.rs

@@ -348,7 +348,7 @@ impl<PointId: Identifier> Subpath<PointId> {
 		let mut prev_in_handle = None;
 		let theta_end = turns * std::f64::consts::TAU + start_angle;
 
-		let b = calculate_b(a, turns, outer_radius, spiral_type);
+		let b = calculate_growth_factor(a, turns, outer_radius, spiral_type);
 
 		let mut theta = start_angle;
 		while theta < theta_end {
@@ -381,7 +381,7 @@ impl<PointId: Identifier> Subpath<PointId> {
 	}
 }
 
-pub fn calculate_b(a: f64, turns: f64, outer_radius: f64, spiral_type: SpiralType) -> f64 {
+pub fn calculate_growth_factor(a: f64, turns: f64, outer_radius: f64, spiral_type: SpiralType) -> f64 {
 	match spiral_type {
 		SpiralType::Archimedean => {
 			let total_theta = turns * TAU;