kcl_lib/std/

sketch.rs

//! Functions related to sketching.

use std::collections::HashMap;
use std::f64;

use anyhow::Result;
use indexmap::IndexMap;
use itertools::Itertools;
use kcl_error::SourceRange;
use kcmc::ModelingCmd;
use kcmc::each_cmd as mcmd;
use kcmc::length_unit::LengthUnit;
use kcmc::shared::Angle;
use kcmc::shared::Point2d as KPoint2d; // Point2d is already defined in this pkg, to impl ts_rs traits.
use kcmc::shared::Point3d as KPoint3d; // Point3d is already defined in this pkg, to impl ts_rs traits.
use kcmc::websocket::ModelingCmdReq;
use kittycad_modeling_cmds as kcmc;
use kittycad_modeling_cmds::shared::PathSegment;
use kittycad_modeling_cmds::units::UnitLength;
use parse_display::Display;
use parse_display::FromStr;
use serde::Deserialize;
use serde::Serialize;
use uuid::Uuid;

use super::shapes::get_radius;
use super::shapes::get_radius_labelled;
use super::utils::untype_array;
use crate::ExecutorContext;
use crate::NodePath;
use crate::errors::KclError;
use crate::errors::KclErrorDetails;
use crate::exec::PlaneKind;
#[cfg(feature = "artifact-graph")]
use crate::execution::Artifact;
#[cfg(feature = "artifact-graph")]
use crate::execution::ArtifactId;
use crate::execution::BasePath;
#[cfg(feature = "artifact-graph")]
use crate::execution::CodeRef;
use crate::execution::ExecState;
use crate::execution::GeoMeta;
use crate::execution::Geometry;
use crate::execution::KclValue;
use crate::execution::ModelingCmdMeta;
use crate::execution::Path;
use crate::execution::Plane;
use crate::execution::PlaneInfo;
use crate::execution::Point2d;
use crate::execution::Point3d;
use crate::execution::ProfileClosed;
use crate::execution::SKETCH_OBJECT_META;
use crate::execution::SKETCH_OBJECT_META_SKETCH;
use crate::execution::Segment;
use crate::execution::SegmentKind;
use crate::execution::Sketch;
use crate::execution::SketchSurface;
use crate::execution::Solid;
#[cfg(feature = "artifact-graph")]
use crate::execution::StartSketchOnFace;
#[cfg(feature = "artifact-graph")]
use crate::execution::StartSketchOnPlane;
use crate::execution::TagIdentifier;
use crate::execution::annotations;
use crate::execution::types::ArrayLen;
use crate::execution::types::NumericType;
use crate::execution::types::PrimitiveType;
use crate::execution::types::RuntimeType;
use crate::parsing::ast::types::TagNode;
use crate::std::CircularDirection;
use crate::std::EQUAL_POINTS_DIST_EPSILON;
use crate::std::args::Args;
use crate::std::args::FromKclValue;
use crate::std::args::TyF64;
use crate::std::axis_or_reference::Axis2dOrEdgeReference;
use crate::std::faces::FaceSpecifier;
use crate::std::faces::make_face;
use crate::std::planes::inner_plane_of;
use crate::std::utils::TangentialArcInfoInput;
use crate::std::utils::arc_center_and_end;
use crate::std::utils::get_tangential_arc_to_info;
use crate::std::utils::get_x_component;
use crate::std::utils::get_y_component;
use crate::std::utils::intersection_with_parallel_line;
use crate::std::utils::point_to_len_unit;
use crate::std::utils::point_to_mm;
use crate::std::utils::untyped_point_to_mm;

/// A tag for a face.
#[derive(Debug, Clone, Deserialize, Serialize, PartialEq, ts_rs::TS)]
#[ts(export)]
#[serde(rename_all = "snake_case", untagged)]
pub enum FaceTag {
    StartOrEnd(StartOrEnd),
    /// A tag for the face.
    Tag(Box<TagIdentifier>),
}

impl std::fmt::Display for FaceTag {
    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
        match self {
            FaceTag::Tag(t) => write!(f, "{t}"),
            FaceTag::StartOrEnd(StartOrEnd::Start) => write!(f, "start"),
            FaceTag::StartOrEnd(StartOrEnd::End) => write!(f, "end"),
        }
    }
}

impl FaceTag {
    /// Get the face id from the tag.
    pub async fn get_face_id(
        &self,
        solid: &Solid,
        exec_state: &mut ExecState,
        args: &Args,
        must_be_planar: bool,
    ) -> Result<uuid::Uuid, KclError> {
        match self {
            FaceTag::Tag(t) => args.get_adjacent_face_to_tag(exec_state, t, must_be_planar).await,
            FaceTag::StartOrEnd(StartOrEnd::Start) => solid.start_cap_id.ok_or_else(|| {
                KclError::new_type(KclErrorDetails::new(
                    "Expected a start face".to_string(),
                    vec![args.source_range],
                ))
            }),
            FaceTag::StartOrEnd(StartOrEnd::End) => solid.end_cap_id.ok_or_else(|| {
                KclError::new_type(KclErrorDetails::new(
                    "Expected an end face".to_string(),
                    vec![args.source_range],
                ))
            }),
        }
    }

    pub async fn get_face_id_from_tag(
        &self,
        exec_state: &mut ExecState,
        args: &Args,
        must_be_planar: bool,
    ) -> Result<uuid::Uuid, KclError> {
        match self {
            FaceTag::Tag(t) => args.get_adjacent_face_to_tag(exec_state, t, must_be_planar).await,
            _ => Err(KclError::new_type(KclErrorDetails::new(
                "Could not find the face corresponding to this tag".to_string(),
                vec![args.source_range],
            ))),
        }
    }

    pub fn geometry(&self) -> Option<Geometry> {
        match self {
            FaceTag::Tag(t) => t.geometry(),
            _ => None,
        }
    }
}

#[derive(Debug, Clone, Deserialize, Serialize, PartialEq, ts_rs::TS, FromStr, Display)]
#[ts(export)]
#[serde(rename_all = "snake_case")]
#[display(style = "snake_case")]
pub enum StartOrEnd {
    /// The start face as in before you extruded. This could also be known as the bottom
    /// face. But we do not call it bottom because it would be the top face if you
    /// extruded it in the opposite direction or flipped the camera.
    #[serde(rename = "start", alias = "START")]
    Start,
    /// The end face after you extruded. This could also be known as the top
    /// face. But we do not call it top because it would be the bottom face if you
    /// extruded it in the opposite direction or flipped the camera.
    #[serde(rename = "end", alias = "END")]
    End,
}

pub const NEW_TAG_KW: &str = "tag";

pub async fn involute_circular(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch = args.get_unlabeled_kw_arg("sketch", &RuntimeType::sketch(), exec_state)?;

    let start_radius: Option<TyF64> = args.get_kw_arg_opt("startRadius", &RuntimeType::length(), exec_state)?;
    let end_radius: Option<TyF64> = args.get_kw_arg_opt("endRadius", &RuntimeType::length(), exec_state)?;
    let start_diameter: Option<TyF64> = args.get_kw_arg_opt("startDiameter", &RuntimeType::length(), exec_state)?;
    let end_diameter: Option<TyF64> = args.get_kw_arg_opt("endDiameter", &RuntimeType::length(), exec_state)?;
    let angle: TyF64 = args.get_kw_arg("angle", &RuntimeType::angle(), exec_state)?;
    let reverse = args.get_kw_arg_opt("reverse", &RuntimeType::bool(), exec_state)?;
    let tag = args.get_kw_arg_opt("tag", &RuntimeType::tag_decl(), exec_state)?;
    let new_sketch = inner_involute_circular(
        sketch,
        start_radius,
        end_radius,
        start_diameter,
        end_diameter,
        angle,
        reverse,
        tag,
        exec_state,
        args,
    )
    .await?;
    Ok(KclValue::Sketch {
        value: Box::new(new_sketch),
    })
}

fn involute_curve(radius: f64, angle: f64) -> (f64, f64) {
    (
        radius * (libm::cos(angle) + angle * libm::sin(angle)),
        radius * (libm::sin(angle) - angle * libm::cos(angle)),
    )
}

#[allow(clippy::too_many_arguments)]
async fn inner_involute_circular(
    sketch: Sketch,
    start_radius: Option<TyF64>,
    end_radius: Option<TyF64>,
    start_diameter: Option<TyF64>,
    end_diameter: Option<TyF64>,
    angle: TyF64,
    reverse: Option<bool>,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    let id = exec_state.next_uuid();
    let angle_deg = angle.to_degrees(exec_state, args.source_range);
    let angle_rad = angle.to_radians(exec_state, args.source_range);

    let longer_args_dot_source_range = args.source_range;
    let start_radius = get_radius_labelled(
        start_radius,
        start_diameter,
        args.source_range,
        "startRadius",
        "startDiameter",
    )?;
    let end_radius = get_radius_labelled(
        end_radius,
        end_diameter,
        longer_args_dot_source_range,
        "endRadius",
        "endDiameter",
    )?;

    exec_state
        .batch_modeling_cmd(
            ModelingCmdMeta::from_args_id(exec_state, &args, id),
            ModelingCmd::from(
                mcmd::ExtendPath::builder()
                    .path(sketch.id.into())
                    .segment(PathSegment::CircularInvolute {
                        start_radius: LengthUnit(start_radius.to_mm()),
                        end_radius: LengthUnit(end_radius.to_mm()),
                        angle: Angle::from_degrees(angle_deg),
                        reverse: reverse.unwrap_or_default(),
                    })
                    .build(),
            ),
        )
        .await?;

    let from = sketch.current_pen_position()?;

    let start_radius = start_radius.to_length_units(from.units);
    let end_radius = end_radius.to_length_units(from.units);

    let mut end: KPoint3d<f64> = Default::default(); // ADAM: TODO impl this below.
    let theta = f64::sqrt(end_radius * end_radius - start_radius * start_radius) / start_radius;
    let (x, y) = involute_curve(start_radius, theta);

    end.x = x * libm::cos(angle_rad) - y * libm::sin(angle_rad);
    end.y = x * libm::sin(angle_rad) + y * libm::cos(angle_rad);

    end.x -= start_radius * libm::cos(angle_rad);
    end.y -= start_radius * libm::sin(angle_rad);

    if reverse.unwrap_or_default() {
        end.x = -end.x;
    }

    end.x += from.x;
    end.y += from.y;

    let current_path = Path::ToPoint {
        base: BasePath {
            from: from.ignore_units(),
            to: [end.x, end.y],
            tag: tag.clone(),
            units: sketch.units,
            geo_meta: GeoMeta {
                id,
                metadata: args.source_range.into(),
            },
        },
    };

    let mut new_sketch = sketch;
    if let Some(tag) = &tag {
        new_sketch.add_tag(tag, &current_path, exec_state, None);
    }
    new_sketch.paths.push(current_path);
    Ok(new_sketch)
}

/// Draw a line to a point.
pub async fn line(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch = args.get_unlabeled_kw_arg("sketch", &RuntimeType::sketch(), exec_state)?;
    let end = args.get_kw_arg_opt("end", &RuntimeType::point2d(), exec_state)?;
    let end_absolute = args.get_kw_arg_opt("endAbsolute", &RuntimeType::point2d(), exec_state)?;
    let tag = args.get_kw_arg_opt("tag", &RuntimeType::tag_decl(), exec_state)?;

    let new_sketch = inner_line(sketch, end_absolute, end, tag, exec_state, args).await?;
    Ok(KclValue::Sketch {
        value: Box::new(new_sketch),
    })
}

async fn inner_line(
    sketch: Sketch,
    end_absolute: Option<[TyF64; 2]>,
    end: Option<[TyF64; 2]>,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    straight_line_with_new_id(
        StraightLineParams {
            sketch,
            end_absolute,
            end,
            tag,
            relative_name: "end",
        },
        exec_state,
        &args.ctx,
        args.source_range,
    )
    .await
}

pub(super) struct StraightLineParams {
    sketch: Sketch,
    end_absolute: Option<[TyF64; 2]>,
    end: Option<[TyF64; 2]>,
    tag: Option<TagNode>,
    relative_name: &'static str,
}

impl StraightLineParams {
    fn relative(p: [TyF64; 2], sketch: Sketch, tag: Option<TagNode>) -> Self {
        Self {
            sketch,
            tag,
            end: Some(p),
            end_absolute: None,
            relative_name: "end",
        }
    }
    pub(super) fn absolute(p: [TyF64; 2], sketch: Sketch, tag: Option<TagNode>) -> Self {
        Self {
            sketch,
            tag,
            end: None,
            end_absolute: Some(p),
            relative_name: "end",
        }
    }
}

pub(super) async fn straight_line_with_new_id(
    straight_line_params: StraightLineParams,
    exec_state: &mut ExecState,
    ctx: &ExecutorContext,
    source_range: SourceRange,
) -> Result<Sketch, KclError> {
    let id = exec_state.next_uuid();
    straight_line(id, straight_line_params, true, exec_state, ctx, source_range).await
}

pub(super) async fn straight_line(
    id: Uuid,
    StraightLineParams {
        sketch,
        end,
        end_absolute,
        tag,
        relative_name,
    }: StraightLineParams,
    send_to_engine: bool,
    exec_state: &mut ExecState,
    ctx: &ExecutorContext,
    source_range: SourceRange,
) -> Result<Sketch, KclError> {
    let from = sketch.current_pen_position()?;
    let (point, is_absolute) = match (end_absolute, end) {
        (Some(_), Some(_)) => {
            return Err(KclError::new_semantic(KclErrorDetails::new(
                "You cannot give both `end` and `endAbsolute` params, you have to choose one or the other".to_owned(),
                vec![source_range],
            )));
        }
        (Some(end_absolute), None) => (end_absolute, true),
        (None, Some(end)) => (end, false),
        (None, None) => {
            return Err(KclError::new_semantic(KclErrorDetails::new(
                format!("You must supply either `{relative_name}` or `endAbsolute` arguments"),
                vec![source_range],
            )));
        }
    };

    if send_to_engine {
        exec_state
            .batch_modeling_cmd(
                ModelingCmdMeta::with_id(exec_state, ctx, source_range, id),
                ModelingCmd::from(
                    mcmd::ExtendPath::builder()
                        .path(sketch.id.into())
                        .segment(PathSegment::Line {
                            end: KPoint2d::from(point_to_mm(point.clone())).with_z(0.0).map(LengthUnit),
                            relative: !is_absolute,
                        })
                        .build(),
                ),
            )
            .await?;
    }

    let end = if is_absolute {
        point_to_len_unit(point, from.units)
    } else {
        let from = sketch.current_pen_position()?;
        let point = point_to_len_unit(point, from.units);
        [from.x + point[0], from.y + point[1]]
    };

    // Does it loop back on itself?
    let loops_back_to_start = does_segment_close_sketch(end, sketch.start.from);

    let current_path = Path::ToPoint {
        base: BasePath {
            from: from.ignore_units(),
            to: end,
            tag: tag.clone(),
            units: sketch.units,
            geo_meta: GeoMeta {
                id,
                metadata: source_range.into(),
            },
        },
    };

    let mut new_sketch = sketch;
    if let Some(tag) = &tag {
        new_sketch.add_tag(tag, &current_path, exec_state, None);
    }
    if loops_back_to_start {
        new_sketch.is_closed = ProfileClosed::Implicitly;
    }

    new_sketch.paths.push(current_path);

    Ok(new_sketch)
}

fn does_segment_close_sketch(end: [f64; 2], from: [f64; 2]) -> bool {
    let same_x = (end[0] - from[0]).abs() < EQUAL_POINTS_DIST_EPSILON;
    let same_y = (end[1] - from[1]).abs() < EQUAL_POINTS_DIST_EPSILON;
    same_x && same_y
}

/// Draw a line on the x-axis.
pub async fn x_line(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch = args.get_unlabeled_kw_arg("sketch", &RuntimeType::Primitive(PrimitiveType::Sketch), exec_state)?;
    let length: Option<TyF64> = args.get_kw_arg_opt("length", &RuntimeType::length(), exec_state)?;
    let end_absolute: Option<TyF64> = args.get_kw_arg_opt("endAbsolute", &RuntimeType::length(), exec_state)?;
    let tag = args.get_kw_arg_opt("tag", &RuntimeType::tag_decl(), exec_state)?;

    let new_sketch = inner_x_line(sketch, length, end_absolute, tag, exec_state, args).await?;
    Ok(KclValue::Sketch {
        value: Box::new(new_sketch),
    })
}

async fn inner_x_line(
    sketch: Sketch,
    length: Option<TyF64>,
    end_absolute: Option<TyF64>,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    let from = sketch.current_pen_position()?;
    straight_line_with_new_id(
        StraightLineParams {
            sketch,
            end_absolute: end_absolute.map(|x| [x, from.into_y()]),
            end: length.map(|x| [x, TyF64::new(0.0, NumericType::mm())]),
            tag,
            relative_name: "length",
        },
        exec_state,
        &args.ctx,
        args.source_range,
    )
    .await
}

/// Draw a line on the y-axis.
pub async fn y_line(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch = args.get_unlabeled_kw_arg("sketch", &RuntimeType::Primitive(PrimitiveType::Sketch), exec_state)?;
    let length: Option<TyF64> = args.get_kw_arg_opt("length", &RuntimeType::length(), exec_state)?;
    let end_absolute: Option<TyF64> = args.get_kw_arg_opt("endAbsolute", &RuntimeType::length(), exec_state)?;
    let tag = args.get_kw_arg_opt("tag", &RuntimeType::tag_decl(), exec_state)?;

    let new_sketch = inner_y_line(sketch, length, end_absolute, tag, exec_state, args).await?;
    Ok(KclValue::Sketch {
        value: Box::new(new_sketch),
    })
}

async fn inner_y_line(
    sketch: Sketch,
    length: Option<TyF64>,
    end_absolute: Option<TyF64>,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    let from = sketch.current_pen_position()?;
    straight_line_with_new_id(
        StraightLineParams {
            sketch,
            end_absolute: end_absolute.map(|y| [from.into_x(), y]),
            end: length.map(|y| [TyF64::new(0.0, NumericType::mm()), y]),
            tag,
            relative_name: "length",
        },
        exec_state,
        &args.ctx,
        args.source_range,
    )
    .await
}

/// Draw an angled line.
pub async fn angled_line(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch = args.get_unlabeled_kw_arg("sketch", &RuntimeType::sketch(), exec_state)?;
    let angle: TyF64 = args.get_kw_arg("angle", &RuntimeType::degrees(), exec_state)?;
    let length: Option<TyF64> = args.get_kw_arg_opt("length", &RuntimeType::length(), exec_state)?;
    let length_x: Option<TyF64> = args.get_kw_arg_opt("lengthX", &RuntimeType::length(), exec_state)?;
    let length_y: Option<TyF64> = args.get_kw_arg_opt("lengthY", &RuntimeType::length(), exec_state)?;
    let end_absolute_x: Option<TyF64> = args.get_kw_arg_opt("endAbsoluteX", &RuntimeType::length(), exec_state)?;
    let end_absolute_y: Option<TyF64> = args.get_kw_arg_opt("endAbsoluteY", &RuntimeType::length(), exec_state)?;
    let tag = args.get_kw_arg_opt("tag", &RuntimeType::tag_decl(), exec_state)?;

    let new_sketch = inner_angled_line(
        sketch,
        angle.n,
        length,
        length_x,
        length_y,
        end_absolute_x,
        end_absolute_y,
        tag,
        exec_state,
        args,
    )
    .await?;
    Ok(KclValue::Sketch {
        value: Box::new(new_sketch),
    })
}

#[allow(clippy::too_many_arguments)]
async fn inner_angled_line(
    sketch: Sketch,
    angle: f64,
    length: Option<TyF64>,
    length_x: Option<TyF64>,
    length_y: Option<TyF64>,
    end_absolute_x: Option<TyF64>,
    end_absolute_y: Option<TyF64>,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    let options_given = [&length, &length_x, &length_y, &end_absolute_x, &end_absolute_y]
        .iter()
        .filter(|x| x.is_some())
        .count();
    if options_given > 1 {
        return Err(KclError::new_type(KclErrorDetails::new(
            " one of `length`, `lengthX`, `lengthY`, `endAbsoluteX`, `endAbsoluteY` can be given".to_string(),
            vec![args.source_range],
        )));
    }
    if let Some(length_x) = length_x {
        return inner_angled_line_of_x_length(angle, length_x, sketch, tag, exec_state, args).await;
    }
    if let Some(length_y) = length_y {
        return inner_angled_line_of_y_length(angle, length_y, sketch, tag, exec_state, args).await;
    }
    let angle_degrees = angle;
    match (length, length_x, length_y, end_absolute_x, end_absolute_y) {
        (Some(length), None, None, None, None) => {
            inner_angled_line_length(sketch, angle_degrees, length, tag, exec_state, args).await
        }
        (None, Some(length_x), None, None, None) => {
            inner_angled_line_of_x_length(angle_degrees, length_x, sketch, tag, exec_state, args).await
        }
        (None, None, Some(length_y), None, None) => {
            inner_angled_line_of_y_length(angle_degrees, length_y, sketch, tag, exec_state, args).await
        }
        (None, None, None, Some(end_absolute_x), None) => {
            inner_angled_line_to_x(angle_degrees, end_absolute_x, sketch, tag, exec_state, args).await
        }
        (None, None, None, None, Some(end_absolute_y)) => {
            inner_angled_line_to_y(angle_degrees, end_absolute_y, sketch, tag, exec_state, args).await
        }
        (None, None, None, None, None) => Err(KclError::new_type(KclErrorDetails::new(
            "One of `length`, `lengthX`, `lengthY`, `endAbsoluteX`, `endAbsoluteY` must be given".to_string(),
            vec![args.source_range],
        ))),
        _ => Err(KclError::new_type(KclErrorDetails::new(
            "Only One of `length`, `lengthX`, `lengthY`, `endAbsoluteX`, `endAbsoluteY` can be given".to_owned(),
            vec![args.source_range],
        ))),
    }
}

async fn inner_angled_line_length(
    sketch: Sketch,
    angle_degrees: f64,
    length: TyF64,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    let from = sketch.current_pen_position()?;
    let length = length.to_length_units(from.units);

    //double check me on this one - mike
    let delta: [f64; 2] = [
        length * libm::cos(angle_degrees.to_radians()),
        length * libm::sin(angle_degrees.to_radians()),
    ];
    let relative = true;

    let to: [f64; 2] = [from.x + delta[0], from.y + delta[1]];
    let loops_back_to_start = does_segment_close_sketch(to, sketch.start.from);

    let id = exec_state.next_uuid();

    exec_state
        .batch_modeling_cmd(
            ModelingCmdMeta::from_args_id(exec_state, &args, id),
            ModelingCmd::from(
                mcmd::ExtendPath::builder()
                    .path(sketch.id.into())
                    .segment(PathSegment::Line {
                        end: KPoint2d::from(untyped_point_to_mm(delta, from.units))
                            .with_z(0.0)
                            .map(LengthUnit),
                        relative,
                    })
                    .build(),
            ),
        )
        .await?;

    let current_path = Path::ToPoint {
        base: BasePath {
            from: from.ignore_units(),
            to,
            tag: tag.clone(),
            units: sketch.units,
            geo_meta: GeoMeta {
                id,
                metadata: args.source_range.into(),
            },
        },
    };

    let mut new_sketch = sketch;
    if let Some(tag) = &tag {
        new_sketch.add_tag(tag, &current_path, exec_state, None);
    }
    if loops_back_to_start {
        new_sketch.is_closed = ProfileClosed::Implicitly;
    }

    new_sketch.paths.push(current_path);
    Ok(new_sketch)
}

async fn inner_angled_line_of_x_length(
    angle_degrees: f64,
    length: TyF64,
    sketch: Sketch,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    if angle_degrees.abs() == 270.0 {
        return Err(KclError::new_type(KclErrorDetails::new(
            "Cannot have an x constrained angle of 270 degrees".to_string(),
            vec![args.source_range],
        )));
    }

    if angle_degrees.abs() == 90.0 {
        return Err(KclError::new_type(KclErrorDetails::new(
            "Cannot have an x constrained angle of 90 degrees".to_string(),
            vec![args.source_range],
        )));
    }

    let to = get_y_component(Angle::from_degrees(angle_degrees), length.n);
    let to = [TyF64::new(to[0], length.ty), TyF64::new(to[1], length.ty)];

    let new_sketch = straight_line_with_new_id(
        StraightLineParams::relative(to, sketch, tag),
        exec_state,
        &args.ctx,
        args.source_range,
    )
    .await?;

    Ok(new_sketch)
}

async fn inner_angled_line_to_x(
    angle_degrees: f64,
    x_to: TyF64,
    sketch: Sketch,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    let from = sketch.current_pen_position()?;

    if angle_degrees.abs() == 270.0 {
        return Err(KclError::new_type(KclErrorDetails::new(
            "Cannot have an x constrained angle of 270 degrees".to_string(),
            vec![args.source_range],
        )));
    }

    if angle_degrees.abs() == 90.0 {
        return Err(KclError::new_type(KclErrorDetails::new(
            "Cannot have an x constrained angle of 90 degrees".to_string(),
            vec![args.source_range],
        )));
    }

    let x_component = x_to.to_length_units(from.units) - from.x;
    let y_component = x_component * libm::tan(angle_degrees.to_radians());
    let y_to = from.y + y_component;

    let new_sketch = straight_line_with_new_id(
        StraightLineParams::absolute([x_to, TyF64::new(y_to, from.units.into())], sketch, tag),
        exec_state,
        &args.ctx,
        args.source_range,
    )
    .await?;
    Ok(new_sketch)
}

async fn inner_angled_line_of_y_length(
    angle_degrees: f64,
    length: TyF64,
    sketch: Sketch,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    if angle_degrees.abs() == 0.0 {
        return Err(KclError::new_type(KclErrorDetails::new(
            "Cannot have a y constrained angle of 0 degrees".to_string(),
            vec![args.source_range],
        )));
    }

    if angle_degrees.abs() == 180.0 {
        return Err(KclError::new_type(KclErrorDetails::new(
            "Cannot have a y constrained angle of 180 degrees".to_string(),
            vec![args.source_range],
        )));
    }

    let to = get_x_component(Angle::from_degrees(angle_degrees), length.n);
    let to = [TyF64::new(to[0], length.ty), TyF64::new(to[1], length.ty)];

    let new_sketch = straight_line_with_new_id(
        StraightLineParams::relative(to, sketch, tag),
        exec_state,
        &args.ctx,
        args.source_range,
    )
    .await?;

    Ok(new_sketch)
}

async fn inner_angled_line_to_y(
    angle_degrees: f64,
    y_to: TyF64,
    sketch: Sketch,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    let from = sketch.current_pen_position()?;

    if angle_degrees.abs() == 0.0 {
        return Err(KclError::new_type(KclErrorDetails::new(
            "Cannot have a y constrained angle of 0 degrees".to_string(),
            vec![args.source_range],
        )));
    }

    if angle_degrees.abs() == 180.0 {
        return Err(KclError::new_type(KclErrorDetails::new(
            "Cannot have a y constrained angle of 180 degrees".to_string(),
            vec![args.source_range],
        )));
    }

    let y_component = y_to.to_length_units(from.units) - from.y;
    let x_component = y_component / libm::tan(angle_degrees.to_radians());
    let x_to = from.x + x_component;

    let new_sketch = straight_line_with_new_id(
        StraightLineParams::absolute([TyF64::new(x_to, from.units.into()), y_to], sketch, tag),
        exec_state,
        &args.ctx,
        args.source_range,
    )
    .await?;
    Ok(new_sketch)
}

/// Draw an angled line that intersects with a given line.
pub async fn angled_line_that_intersects(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch = args.get_unlabeled_kw_arg("sketch", &RuntimeType::Primitive(PrimitiveType::Sketch), exec_state)?;
    let angle: TyF64 = args.get_kw_arg("angle", &RuntimeType::angle(), exec_state)?;
    let intersect_tag: TagIdentifier = args.get_kw_arg("intersectTag", &RuntimeType::tagged_edge(), exec_state)?;
    let offset = args.get_kw_arg_opt("offset", &RuntimeType::length(), exec_state)?;
    let tag: Option<TagNode> = args.get_kw_arg_opt("tag", &RuntimeType::tag_decl(), exec_state)?;
    let new_sketch =
        inner_angled_line_that_intersects(sketch, angle, intersect_tag, offset, tag, exec_state, args).await?;
    Ok(KclValue::Sketch {
        value: Box::new(new_sketch),
    })
}

pub async fn inner_angled_line_that_intersects(
    sketch: Sketch,
    angle: TyF64,
    intersect_tag: TagIdentifier,
    offset: Option<TyF64>,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    let intersect_path = args.get_tag_engine_info(exec_state, &intersect_tag)?;
    let path = intersect_path.path.clone().ok_or_else(|| {
        KclError::new_type(KclErrorDetails::new(
            format!("Expected an intersect path with a path, found `{intersect_path:?}`"),
            vec![args.source_range],
        ))
    })?;

    let from = sketch.current_pen_position()?;
    let to = intersection_with_parallel_line(
        &[
            point_to_len_unit(path.get_from(), from.units),
            point_to_len_unit(path.get_to(), from.units),
        ],
        offset.map(|t| t.to_length_units(from.units)).unwrap_or_default(),
        angle.to_degrees(exec_state, args.source_range),
        from.ignore_units(),
    );
    let to = [
        TyF64::new(to[0], from.units.into()),
        TyF64::new(to[1], from.units.into()),
    ];

    straight_line_with_new_id(
        StraightLineParams::absolute(to, sketch, tag),
        exec_state,
        &args.ctx,
        args.source_range,
    )
    .await
}

/// Data for start sketch on.
/// You can start a sketch on a plane or an solid.
#[derive(Debug, Clone, Serialize, PartialEq, ts_rs::TS)]
#[ts(export)]
#[serde(rename_all = "camelCase", untagged)]
#[allow(clippy::large_enum_variant)]
pub enum SketchData {
    PlaneOrientation(PlaneData),
    Plane(Box<Plane>),
    Solid(Box<Solid>),
}

/// Orientation data that can be used to construct a plane, not a plane in itself.
#[derive(Debug, Clone, Deserialize, Serialize, PartialEq, ts_rs::TS)]
#[ts(export)]
#[serde(rename_all = "camelCase")]
#[allow(clippy::large_enum_variant)]
pub enum PlaneData {
    /// The XY plane.
    #[serde(rename = "XY", alias = "xy")]
    XY,
    /// The opposite side of the XY plane.
    #[serde(rename = "-XY", alias = "-xy")]
    NegXY,
    /// The XZ plane.
    #[serde(rename = "XZ", alias = "xz")]
    XZ,
    /// The opposite side of the XZ plane.
    #[serde(rename = "-XZ", alias = "-xz")]
    NegXZ,
    /// The YZ plane.
    #[serde(rename = "YZ", alias = "yz")]
    YZ,
    /// The opposite side of the YZ plane.
    #[serde(rename = "-YZ", alias = "-yz")]
    NegYZ,
    /// A defined plane.
    Plane(PlaneInfo),
}

/// Start a sketch on a specific plane or face.
pub async fn start_sketch_on(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let data = args.get_unlabeled_kw_arg(
        "planeOrSolid",
        &RuntimeType::Union(vec![RuntimeType::solid(), RuntimeType::plane()]),
        exec_state,
    )?;
    let face = args.get_kw_arg_opt("face", &RuntimeType::tagged_face_or_segment(), exec_state)?;
    let normal_to_face = args.get_kw_arg_opt("normalToFace", &RuntimeType::tagged_face(), exec_state)?;
    let align_axis = args.get_kw_arg_opt("alignAxis", &RuntimeType::Primitive(PrimitiveType::Axis2d), exec_state)?;
    let normal_offset = args.get_kw_arg_opt("normalOffset", &RuntimeType::length(), exec_state)?;

    match inner_start_sketch_on(data, face, normal_to_face, align_axis, normal_offset, exec_state, &args).await? {
        SketchSurface::Plane(value) => Ok(KclValue::Plane { value }),
        SketchSurface::Face(value) => Ok(KclValue::Face { value }),
    }
}

async fn inner_start_sketch_on(
    plane_or_solid: SketchData,
    face: Option<FaceSpecifier>,
    normal_to_face: Option<FaceSpecifier>,
    align_axis: Option<Axis2dOrEdgeReference>,
    normal_offset: Option<TyF64>,
    exec_state: &mut ExecState,
    args: &Args,
) -> Result<SketchSurface, KclError> {
    let face = match (face, normal_to_face, &align_axis, &normal_offset) {
        (Some(_), Some(_), _, _) => {
            return Err(KclError::new_semantic(KclErrorDetails::new(
                "You cannot give both `face` and `normalToFace` params, you have to choose one or the other."
                    .to_owned(),
                vec![args.source_range],
            )));
        }
        (Some(face), None, None, None) => Some(face),
        (_, Some(_), None, _) => {
            return Err(KclError::new_semantic(KclErrorDetails::new(
                "`alignAxis` is required if `normalToFace` is specified.".to_owned(),
                vec![args.source_range],
            )));
        }
        (_, None, Some(_), _) => {
            return Err(KclError::new_semantic(KclErrorDetails::new(
                "`normalToFace` is required if `alignAxis` is specified.".to_owned(),
                vec![args.source_range],
            )));
        }
        (_, None, _, Some(_)) => {
            return Err(KclError::new_semantic(KclErrorDetails::new(
                "`normalToFace` is required if `normalOffset` is specified.".to_owned(),
                vec![args.source_range],
            )));
        }
        (_, Some(face), Some(_), _) => Some(face),
        (None, None, None, None) => None,
    };

    match plane_or_solid {
        SketchData::PlaneOrientation(plane_data) => {
            let plane = make_sketch_plane_from_orientation(plane_data, exec_state, args).await?;
            Ok(SketchSurface::Plane(plane))
        }
        SketchData::Plane(plane) => {
            if plane.is_uninitialized() {
                let plane = make_sketch_plane_from_orientation(plane.info.into_plane_data(), exec_state, args).await?;
                Ok(SketchSurface::Plane(plane))
            } else {
                // Create artifact used only by the UI, not the engine.
                #[cfg(feature = "artifact-graph")]
                {
                    let id = exec_state.next_uuid();
                    exec_state.add_artifact(Artifact::StartSketchOnPlane(StartSketchOnPlane {
                        id: ArtifactId::from(id),
                        plane_id: plane.artifact_id,
                        code_ref: CodeRef::placeholder(args.source_range),
                    }));
                }

                Ok(SketchSurface::Plane(plane))
            }
        }
        SketchData::Solid(solid) => {
            let Some(tag) = face else {
                return Err(KclError::new_type(KclErrorDetails::new(
                    "Expected a tag for the face to sketch on".to_string(),
                    vec![args.source_range],
                )));
            };
            if let Some(align_axis) = align_axis {
                let plane_of = inner_plane_of(*solid, tag, exec_state, args).await?;

                // plane_of info axis units are Some(UnitLength::Millimeters), see inner_plane_of and PlaneInfo
                let offset = normal_offset.map_or(0.0, |x| x.to_mm());
                let (x_axis, y_axis, normal_offset) = match align_axis {
                    Axis2dOrEdgeReference::Axis { direction, origin: _ } => {
                        if (direction[0].n - 1.0).abs() < f64::EPSILON {
                            //X axis chosen
                            (
                                plane_of.info.x_axis,
                                plane_of.info.z_axis,
                                plane_of.info.y_axis * offset,
                            )
                        } else if (direction[0].n + 1.0).abs() < f64::EPSILON {
                            // -X axis chosen
                            (
                                plane_of.info.x_axis.negated(),
                                plane_of.info.z_axis,
                                plane_of.info.y_axis * offset,
                            )
                        } else if (direction[1].n - 1.0).abs() < f64::EPSILON {
                            // Y axis chosen
                            (
                                plane_of.info.y_axis,
                                plane_of.info.z_axis,
                                plane_of.info.x_axis * offset,
                            )
                        } else if (direction[1].n + 1.0).abs() < f64::EPSILON {
                            // -Y axis chosen
                            (
                                plane_of.info.y_axis.negated(),
                                plane_of.info.z_axis,
                                plane_of.info.x_axis * offset,
                            )
                        } else {
                            return Err(KclError::new_semantic(KclErrorDetails::new(
                                "Unsupported axis detected. This function only supports using X, -X, Y and -Y."
                                    .to_owned(),
                                vec![args.source_range],
                            )));
                        }
                    }
                    Axis2dOrEdgeReference::Edge(_) => {
                        return Err(KclError::new_semantic(KclErrorDetails::new(
                            "Use of an edge here is unsupported, please specify an `Axis2d` (e.g. `X`) instead."
                                .to_owned(),
                            vec![args.source_range],
                        )));
                    }
                };
                let origin = Point3d::new(0.0, 0.0, 0.0, plane_of.info.origin.units);
                let plane_data = PlaneData::Plane(PlaneInfo {
                    origin: plane_of.project(origin) + normal_offset,
                    x_axis,
                    y_axis,
                    z_axis: x_axis.axes_cross_product(&y_axis),
                });
                let plane = make_sketch_plane_from_orientation(plane_data, exec_state, args).await?;

                // Create artifact used only by the UI, not the engine.
                #[cfg(feature = "artifact-graph")]
                {
                    let id = exec_state.next_uuid();
                    exec_state.add_artifact(Artifact::StartSketchOnPlane(StartSketchOnPlane {
                        id: ArtifactId::from(id),
                        plane_id: plane.artifact_id,
                        code_ref: CodeRef::placeholder(args.source_range),
                    }));
                }

                Ok(SketchSurface::Plane(plane))
            } else {
                let face = make_face(solid, tag, exec_state, args).await?;

                #[cfg(feature = "artifact-graph")]
                {
                    // Create artifact used only by the UI, not the engine.
                    let id = exec_state.next_uuid();
                    exec_state.add_artifact(Artifact::StartSketchOnFace(StartSketchOnFace {
                        id: ArtifactId::from(id),
                        face_id: face.artifact_id,
                        code_ref: CodeRef::placeholder(args.source_range),
                    }));
                }

                Ok(SketchSurface::Face(face))
            }
        }
    }
}

pub async fn make_sketch_plane_from_orientation(
    data: PlaneData,
    exec_state: &mut ExecState,
    args: &Args,
) -> Result<Box<Plane>, KclError> {
    let id = exec_state.next_uuid();
    let kind = PlaneKind::from(&data);
    let mut plane = Plane {
        id,
        artifact_id: id.into(),
        object_id: None,
        kind,
        info: PlaneInfo::try_from(data)?,
        meta: vec![args.source_range.into()],
    };

    // Create the plane on the fly.
    ensure_sketch_plane_in_engine(
        &mut plane,
        exec_state,
        &args.ctx,
        args.source_range,
        args.node_path.clone(),
    )
    .await?;

    Ok(Box::new(plane))
}

/// Ensure that the plane exists in the engine.
pub async fn ensure_sketch_plane_in_engine(
    plane: &mut Plane,
    exec_state: &mut ExecState,
    ctx: &ExecutorContext,
    source_range: SourceRange,
    node_path: Option<NodePath>,
) -> Result<(), KclError> {
    if plane.is_initialized() {
        return Ok(());
    }
    #[cfg(feature = "artifact-graph")]
    {
        if let Some(existing_object_id) = exec_state.scene_object_id_by_artifact_id(ArtifactId::new(plane.id)) {
            plane.object_id = Some(existing_object_id);
            return Ok(());
        }
    }

    // Regenerate the plane's UUID using the current module's IdGenerator so
    // that each module gets its own engine entity. The prelude defines standard
    // planes (XY, XZ, YZ) once with a single UUID; without this, every module
    // that imports one of those planes would send the same UUID to the engine,
    // causing a duplicate-ID error when execution caching keeps the scene alive
    // across incremental runs. Modules execute concurrently, so they cannot
    // generally share information.
    let id = exec_state.next_uuid();
    plane.id = id;
    plane.artifact_id = id.into();

    let clobber = false;
    let size = LengthUnit(60.0);
    let hide = Some(true);
    let cmd = if let Some(hide) = hide {
        mcmd::MakePlane::builder()
            .clobber(clobber)
            .origin(plane.info.origin.into())
            .size(size)
            .x_axis(plane.info.x_axis.into())
            .y_axis(plane.info.y_axis.into())
            .hide(hide)
            .build()
    } else {
        mcmd::MakePlane::builder()
            .clobber(clobber)
            .origin(plane.info.origin.into())
            .size(size)
            .x_axis(plane.info.x_axis.into())
            .y_axis(plane.info.y_axis.into())
            .build()
    };
    exec_state
        .batch_modeling_cmd(
            ModelingCmdMeta::with_id(exec_state, ctx, source_range, plane.id),
            ModelingCmd::from(cmd),
        )
        .await?;
    let plane_object_id = exec_state.next_object_id();
    #[cfg(not(feature = "artifact-graph"))]
    let _ = node_path;
    #[cfg(feature = "artifact-graph")]
    {
        use crate::front::SourceRef;

        let plane_object = crate::front::Object {
            id: plane_object_id,
            kind: crate::front::ObjectKind::Plane(crate::front::Plane::Object(plane_object_id)),
            label: Default::default(),
            comments: Default::default(),
            artifact_id: ArtifactId::new(plane.id),
            source: SourceRef::new(source_range, node_path.clone()),
        };
        exec_state.add_scene_object(plane_object, source_range);
    }
    plane.object_id = Some(plane_object_id);

    Ok(())
}

/// Start a new profile at a given point.
pub async fn start_profile(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch_surface = args.get_unlabeled_kw_arg(
        "startProfileOn",
        &RuntimeType::Union(vec![RuntimeType::plane(), RuntimeType::face()]),
        exec_state,
    )?;
    let start: [TyF64; 2] = args.get_kw_arg("at", &RuntimeType::point2d(), exec_state)?;
    let tag = args.get_kw_arg_opt("tag", &RuntimeType::tag_decl(), exec_state)?;

    let sketch = inner_start_profile(sketch_surface, start, tag, exec_state, &args.ctx, args.source_range).await?;
    Ok(KclValue::Sketch {
        value: Box::new(sketch),
    })
}

pub(crate) async fn inner_start_profile(
    sketch_surface: SketchSurface,
    at: [TyF64; 2],
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    ctx: &ExecutorContext,
    source_range: SourceRange,
) -> Result<Sketch, KclError> {
    let id = exec_state.next_uuid();
    create_sketch(id, sketch_surface, at, tag, true, exec_state, ctx, source_range).await
}

#[expect(clippy::too_many_arguments)]
pub(crate) async fn create_sketch(
    id: Uuid,
    sketch_surface: SketchSurface,
    at: [TyF64; 2],
    tag: Option<TagNode>,
    send_to_engine: bool,
    exec_state: &mut ExecState,
    ctx: &ExecutorContext,
    source_range: SourceRange,
) -> Result<Sketch, KclError> {
    match &sketch_surface {
        SketchSurface::Face(face) => {
            // Flush the batch for our fillets/chamfers if there are any.
            // If we do not do these for sketch on face, things will fail with face does not exist.
            exec_state
                .flush_batch_for_solids(
                    ModelingCmdMeta::new(exec_state, ctx, source_range),
                    &[(*face.solid).clone()],
                )
                .await?;
        }
        SketchSurface::Plane(plane) if !plane.is_standard() => {
            // Hide whatever plane we are sketching on.
            // This is especially helpful for offset planes, which would be visible otherwise.
            exec_state
                .batch_end_cmd(
                    ModelingCmdMeta::new(exec_state, ctx, source_range),
                    ModelingCmd::from(mcmd::ObjectVisible::builder().object_id(plane.id).hidden(true).build()),
                )
                .await?;
        }
        _ => {}
    }

    let path_id = id;
    let enable_sketch_id = exec_state.next_uuid();
    let move_pen_id = exec_state.next_uuid();
    let disable_sketch_id = exec_state.next_uuid();
    if send_to_engine {
        exec_state
            .batch_modeling_cmds(
                ModelingCmdMeta::new(exec_state, ctx, source_range),
                &[
                    // Enter sketch mode on the surface.
                    // We call this here so you can reuse the sketch surface for multiple sketches.
                    ModelingCmdReq {
                        cmd: ModelingCmd::from(if let SketchSurface::Plane(plane) = &sketch_surface {
                            // We pass in the normal for the plane here.
                            let normal = plane.info.x_axis.axes_cross_product(&plane.info.y_axis);
                            mcmd::EnableSketchMode::builder()
                                .animated(false)
                                .ortho(false)
                                .entity_id(sketch_surface.id())
                                .adjust_camera(false)
                                .planar_normal(normal.into())
                                .build()
                        } else {
                            mcmd::EnableSketchMode::builder()
                                .animated(false)
                                .ortho(false)
                                .entity_id(sketch_surface.id())
                                .adjust_camera(false)
                                .build()
                        }),
                        cmd_id: enable_sketch_id.into(),
                    },
                    ModelingCmdReq {
                        cmd: ModelingCmd::from(mcmd::StartPath::default()),
                        cmd_id: path_id.into(),
                    },
                    ModelingCmdReq {
                        cmd: ModelingCmd::from(
                            mcmd::MovePathPen::builder()
                                .path(path_id.into())
                                .to(KPoint2d::from(point_to_mm(at.clone())).with_z(0.0).map(LengthUnit))
                                .build(),
                        ),
                        cmd_id: move_pen_id.into(),
                    },
                    ModelingCmdReq {
                        cmd: ModelingCmd::SketchModeDisable(mcmd::SketchModeDisable::default()),
                        cmd_id: disable_sketch_id.into(),
                    },
                ],
            )
            .await?;
    }

    // Convert to the units of the module.  This is what the frontend expects.
    let units = exec_state.length_unit();
    let to = point_to_len_unit(at, units);
    let current_path = BasePath {
        from: to,
        to,
        tag: tag.clone(),
        units,
        geo_meta: GeoMeta {
            id: move_pen_id,
            metadata: source_range.into(),
        },
    };

    let mut sketch = Sketch {
        id: path_id,
        original_id: path_id,
        artifact_id: path_id.into(),
        on: sketch_surface,
        paths: vec![],
        inner_paths: vec![],
        units,
        mirror: Default::default(),
        clone: Default::default(),
        synthetic_jump_path_ids: vec![],
        meta: vec![source_range.into()],
        tags: Default::default(),
        start: current_path.clone(),
        is_closed: ProfileClosed::No,
    };
    if let Some(tag) = &tag {
        let path = Path::Base { base: current_path };
        sketch.add_tag(tag, &path, exec_state, None);
    }

    Ok(sketch)
}

/// Returns the X component of the sketch profile start point.
pub async fn profile_start_x(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch: Sketch = args.get_unlabeled_kw_arg("profile", &RuntimeType::sketch(), exec_state)?;
    let ty = sketch.units.into();
    let x = inner_profile_start_x(sketch)?;
    Ok(args.make_user_val_from_f64_with_type(TyF64::new(x, ty)))
}

pub(crate) fn inner_profile_start_x(profile: Sketch) -> Result<f64, KclError> {
    Ok(profile.start.to[0])
}

/// Returns the Y component of the sketch profile start point.
pub async fn profile_start_y(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch: Sketch = args.get_unlabeled_kw_arg("profile", &RuntimeType::sketch(), exec_state)?;
    let ty = sketch.units.into();
    let x = inner_profile_start_y(sketch)?;
    Ok(args.make_user_val_from_f64_with_type(TyF64::new(x, ty)))
}

pub(crate) fn inner_profile_start_y(profile: Sketch) -> Result<f64, KclError> {
    Ok(profile.start.to[1])
}

/// Returns the sketch profile start point.
pub async fn profile_start(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch: Sketch = args.get_unlabeled_kw_arg("profile", &RuntimeType::sketch(), exec_state)?;
    let ty = sketch.units.into();
    let point = inner_profile_start(sketch)?;
    Ok(KclValue::from_point2d(point, ty, args.into()))
}

pub(crate) fn inner_profile_start(profile: Sketch) -> Result<[f64; 2], KclError> {
    Ok(profile.start.to)
}

/// Close the current sketch.
pub async fn close(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch = args.get_unlabeled_kw_arg("sketch", &RuntimeType::Primitive(PrimitiveType::Sketch), exec_state)?;
    let tag = args.get_kw_arg_opt("tag", &RuntimeType::tag_decl(), exec_state)?;
    let new_sketch = inner_close(sketch, tag, exec_state, args).await?;
    Ok(KclValue::Sketch {
        value: Box::new(new_sketch),
    })
}

pub(crate) async fn inner_close(
    sketch: Sketch,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    if matches!(sketch.is_closed, ProfileClosed::Explicitly) {
        exec_state.warn(
            crate::CompilationIssue {
                source_range: args.source_range,
                message: "This sketch is already closed. Remove this unnecessary `close()` call".to_string(),
                suggestion: None,
                severity: crate::errors::Severity::Warning,
                tag: crate::errors::Tag::Unnecessary,
            },
            annotations::WARN_UNNECESSARY_CLOSE,
        );
        return Ok(sketch);
    }
    let from = sketch.current_pen_position()?;
    let to = point_to_len_unit(sketch.start.get_from(), from.units);

    let id = exec_state.next_uuid();

    exec_state
        .batch_modeling_cmd(
            ModelingCmdMeta::from_args_id(exec_state, &args, id),
            ModelingCmd::from(mcmd::ClosePath::builder().path_id(sketch.id).build()),
        )
        .await?;

    let mut new_sketch = sketch;

    let distance = ((from.x - to[0]).powi(2) + (from.y - to[1]).powi(2)).sqrt();
    if distance > super::EQUAL_POINTS_DIST_EPSILON {
        // These will NOT be the same point in the engine, and an additional segment will be created.
        let current_path = Path::ToPoint {
            base: BasePath {
                from: from.ignore_units(),
                to,
                tag: tag.clone(),
                units: new_sketch.units,
                geo_meta: GeoMeta {
                    id,
                    metadata: args.source_range.into(),
                },
            },
        };

        if let Some(tag) = &tag {
            new_sketch.add_tag(tag, &current_path, exec_state, None);
        }
        new_sketch.paths.push(current_path);
    } else if tag.is_some() {
        exec_state.warn(
            crate::CompilationIssue {
                source_range: args.source_range,
                message: "A tag declarator was specified, but no segment was created".to_string(),
                suggestion: None,
                severity: crate::errors::Severity::Warning,
                tag: crate::errors::Tag::Unnecessary,
            },
            annotations::WARN_UNUSED_TAGS,
        );
    }

    new_sketch.is_closed = ProfileClosed::Explicitly;

    Ok(new_sketch)
}

/// Draw an arc.
pub async fn arc(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch = args.get_unlabeled_kw_arg("sketch", &RuntimeType::Primitive(PrimitiveType::Sketch), exec_state)?;

    let angle_start: Option<TyF64> = args.get_kw_arg_opt("angleStart", &RuntimeType::degrees(), exec_state)?;
    let angle_end: Option<TyF64> = args.get_kw_arg_opt("angleEnd", &RuntimeType::degrees(), exec_state)?;
    let radius: Option<TyF64> = args.get_kw_arg_opt("radius", &RuntimeType::length(), exec_state)?;
    let diameter: Option<TyF64> = args.get_kw_arg_opt("diameter", &RuntimeType::length(), exec_state)?;
    let end_absolute: Option<[TyF64; 2]> = args.get_kw_arg_opt("endAbsolute", &RuntimeType::point2d(), exec_state)?;
    let interior_absolute: Option<[TyF64; 2]> =
        args.get_kw_arg_opt("interiorAbsolute", &RuntimeType::point2d(), exec_state)?;
    let tag = args.get_kw_arg_opt("tag", &RuntimeType::tag_decl(), exec_state)?;
    let new_sketch = inner_arc(
        sketch,
        angle_start,
        angle_end,
        radius,
        diameter,
        interior_absolute,
        end_absolute,
        tag,
        exec_state,
        args,
    )
    .await?;
    Ok(KclValue::Sketch {
        value: Box::new(new_sketch),
    })
}

#[allow(clippy::too_many_arguments)]
pub(crate) async fn inner_arc(
    sketch: Sketch,
    angle_start: Option<TyF64>,
    angle_end: Option<TyF64>,
    radius: Option<TyF64>,
    diameter: Option<TyF64>,
    interior_absolute: Option<[TyF64; 2]>,
    end_absolute: Option<[TyF64; 2]>,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    let from: Point2d = sketch.current_pen_position()?;
    let id = exec_state.next_uuid();

    match (angle_start, angle_end, radius, diameter, interior_absolute, end_absolute) {
        (Some(angle_start), Some(angle_end), radius, diameter, None, None) => {
            let radius = get_radius(radius, diameter, args.source_range)?;
            relative_arc(id, exec_state, sketch, from, angle_start, angle_end, radius, tag, true, &args.ctx, args.source_range).await
        }
        (None, None, None, None, Some(interior_absolute), Some(end_absolute)) => {
            absolute_arc(&args, id, exec_state, sketch, from, interior_absolute, end_absolute, tag).await
        }
        _ => {
            Err(KclError::new_type(KclErrorDetails::new(
                "Invalid combination of arguments. Either provide (angleStart, angleEnd, radius) or (endAbsolute, interiorAbsolute)".to_owned(),
                vec![args.source_range],
            )))
        }
    }
}

#[allow(clippy::too_many_arguments)]
pub async fn absolute_arc(
    args: &Args,
    id: uuid::Uuid,
    exec_state: &mut ExecState,
    sketch: Sketch,
    from: Point2d,
    interior_absolute: [TyF64; 2],
    end_absolute: [TyF64; 2],
    tag: Option<TagNode>,
) -> Result<Sketch, KclError> {
    // The start point is taken from the path you are extending.
    exec_state
        .batch_modeling_cmd(
            ModelingCmdMeta::from_args_id(exec_state, args, id),
            ModelingCmd::from(
                mcmd::ExtendPath::builder()
                    .path(sketch.id.into())
                    .segment(PathSegment::ArcTo {
                        end: kcmc::shared::Point3d {
                            x: LengthUnit(end_absolute[0].to_mm()),
                            y: LengthUnit(end_absolute[1].to_mm()),
                            z: LengthUnit(0.0),
                        },
                        interior: kcmc::shared::Point3d {
                            x: LengthUnit(interior_absolute[0].to_mm()),
                            y: LengthUnit(interior_absolute[1].to_mm()),
                            z: LengthUnit(0.0),
                        },
                        relative: false,
                    })
                    .build(),
            ),
        )
        .await?;

    let start = [from.x, from.y];
    let end = point_to_len_unit(end_absolute, from.units);
    let loops_back_to_start = does_segment_close_sketch(end, sketch.start.from);

    let current_path = Path::ArcThreePoint {
        base: BasePath {
            from: from.ignore_units(),
            to: end,
            tag: tag.clone(),
            units: sketch.units,
            geo_meta: GeoMeta {
                id,
                metadata: args.source_range.into(),
            },
        },
        p1: start,
        p2: point_to_len_unit(interior_absolute, from.units),
        p3: end,
    };

    let mut new_sketch = sketch;
    if let Some(tag) = &tag {
        new_sketch.add_tag(tag, &current_path, exec_state, None);
    }
    if loops_back_to_start {
        new_sketch.is_closed = ProfileClosed::Implicitly;
    }

    new_sketch.paths.push(current_path);

    Ok(new_sketch)
}

#[allow(clippy::too_many_arguments)]
pub async fn relative_arc(
    id: uuid::Uuid,
    exec_state: &mut ExecState,
    sketch: Sketch,
    from: Point2d,
    angle_start: TyF64,
    angle_end: TyF64,
    radius: TyF64,
    tag: Option<TagNode>,
    send_to_engine: bool,
    ctx: &ExecutorContext,
    source_range: SourceRange,
) -> Result<Sketch, KclError> {
    let a_start = Angle::from_degrees(angle_start.to_degrees(exec_state, source_range));
    let a_end = Angle::from_degrees(angle_end.to_degrees(exec_state, source_range));
    let radius = radius.to_length_units(from.units);
    let (center, end) = arc_center_and_end(from.ignore_units(), a_start, a_end, radius);
    if a_start == a_end {
        return Err(KclError::new_type(KclErrorDetails::new(
            "Arc start and end angles must be different".to_string(),
            vec![source_range],
        )));
    }
    let ccw = a_start < a_end;

    if send_to_engine {
        exec_state
            .batch_modeling_cmd(
                ModelingCmdMeta::with_id(exec_state, ctx, source_range, id),
                ModelingCmd::from(
                    mcmd::ExtendPath::builder()
                        .path(sketch.id.into())
                        .segment(PathSegment::Arc {
                            start: a_start,
                            end: a_end,
                            center: KPoint2d::from(untyped_point_to_mm(center, from.units)).map(LengthUnit),
                            radius: LengthUnit(
                                crate::execution::types::adjust_length(from.units, radius, UnitLength::Millimeters).0,
                            ),
                            relative: false,
                        })
                        .build(),
                ),
            )
            .await?;
    }

    let loops_back_to_start = does_segment_close_sketch(end, sketch.start.from);
    let current_path = Path::Arc {
        base: BasePath {
            from: from.ignore_units(),
            to: end,
            tag: tag.clone(),
            units: from.units,
            geo_meta: GeoMeta {
                id,
                metadata: source_range.into(),
            },
        },
        center,
        radius,
        ccw,
    };

    let mut new_sketch = sketch;
    if let Some(tag) = &tag {
        new_sketch.add_tag(tag, &current_path, exec_state, None);
    }
    if loops_back_to_start {
        new_sketch.is_closed = ProfileClosed::Implicitly;
    }

    new_sketch.paths.push(current_path);

    Ok(new_sketch)
}

/// Draw a tangential arc to a specific point.
pub async fn tangential_arc(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch = args.get_unlabeled_kw_arg("sketch", &RuntimeType::Primitive(PrimitiveType::Sketch), exec_state)?;
    let end = args.get_kw_arg_opt("end", &RuntimeType::point2d(), exec_state)?;
    let end_absolute = args.get_kw_arg_opt("endAbsolute", &RuntimeType::point2d(), exec_state)?;
    let radius = args.get_kw_arg_opt("radius", &RuntimeType::length(), exec_state)?;
    let diameter = args.get_kw_arg_opt("diameter", &RuntimeType::length(), exec_state)?;
    let angle = args.get_kw_arg_opt("angle", &RuntimeType::angle(), exec_state)?;
    let tag = args.get_kw_arg_opt("tag", &RuntimeType::tag_decl(), exec_state)?;

    let new_sketch = inner_tangential_arc(
        sketch,
        end_absolute,
        end,
        radius,
        diameter,
        angle,
        tag,
        exec_state,
        args,
    )
    .await?;
    Ok(KclValue::Sketch {
        value: Box::new(new_sketch),
    })
}

#[allow(clippy::too_many_arguments)]
async fn inner_tangential_arc(
    sketch: Sketch,
    end_absolute: Option<[TyF64; 2]>,
    end: Option<[TyF64; 2]>,
    radius: Option<TyF64>,
    diameter: Option<TyF64>,
    angle: Option<TyF64>,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    match (end_absolute, end, radius, diameter, angle) {
        (Some(point), None, None, None, None) => {
            inner_tangential_arc_to_point(sketch, point, true, tag, exec_state, args).await
        }
        (None, Some(point), None, None, None) => {
            inner_tangential_arc_to_point(sketch, point, false, tag, exec_state, args).await
        }
        (None, None, radius, diameter, Some(angle)) => {
            let radius = get_radius(radius, diameter, args.source_range)?;
            let data = TangentialArcData::RadiusAndOffset { radius, offset: angle };
            inner_tangential_arc_radius_angle(data, sketch, tag, exec_state, args).await
        }
        (Some(_), Some(_), None, None, None) => Err(KclError::new_semantic(KclErrorDetails::new(
            "You cannot give both `end` and `endAbsolute` params, you have to choose one or the other".to_owned(),
            vec![args.source_range],
        ))),
        (_, _, _, _, _) => Err(KclError::new_semantic(KclErrorDetails::new(
            "You must supply `end`, `endAbsolute`, or both `angle` and `radius`/`diameter` arguments".to_owned(),
            vec![args.source_range],
        ))),
    }
}

/// Data to draw a tangential arc.
#[derive(Debug, Clone, Serialize, PartialEq, ts_rs::TS)]
#[ts(export)]
#[serde(rename_all = "camelCase", untagged)]
pub enum TangentialArcData {
    RadiusAndOffset {
        /// Radius of the arc.
        /// Not to be confused with Raiders of the Lost Ark.
        radius: TyF64,
        /// Offset of the arc, in degrees.
        offset: TyF64,
    },
}

/// Draw a curved line segment along part of an imaginary circle.
///
/// The arc is constructed such that the last line segment is placed tangent
/// to the imaginary circle of the specified radius. The resulting arc is the
/// segment of the imaginary circle from that tangent point for 'angle'
/// degrees along the imaginary circle.
async fn inner_tangential_arc_radius_angle(
    data: TangentialArcData,
    sketch: Sketch,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    let from: Point2d = sketch.current_pen_position()?;
    // next set of lines is some undocumented voodoo from get_tangential_arc_to_info
    let tangent_info = sketch.get_tangential_info_from_paths(); //this function desperately needs some documentation
    let tan_previous_point = tangent_info.tan_previous_point(from.ignore_units());

    let id = exec_state.next_uuid();

    let (center, to, ccw) = match data {
        TangentialArcData::RadiusAndOffset { radius, offset } => {
            // KCL stdlib types use degrees.
            let offset = Angle::from_degrees(offset.to_degrees(exec_state, args.source_range));

            // Calculate the end point from the angle and radius.
            // atan2 outputs radians.
            let previous_end_tangent = Angle::from_radians(libm::atan2(
                from.y - tan_previous_point[1],
                from.x - tan_previous_point[0],
            ));
            // make sure the arc center is on the correct side to guarantee deterministic behavior
            // note the engine automatically rejects an offset of zero, if we want to flag that at KCL too to avoid engine errors
            let ccw = offset.to_degrees() > 0.0;
            let tangent_to_arc_start_angle = if ccw {
                // CCW turn
                Angle::from_degrees(-90.0)
            } else {
                // CW turn
                Angle::from_degrees(90.0)
            };
            // may need some logic and / or modulo on the various angle values to prevent them from going "backwards"
            // but the above logic *should* capture that behavior
            let start_angle = previous_end_tangent + tangent_to_arc_start_angle;
            let end_angle = start_angle + offset;
            let (center, to) = arc_center_and_end(
                from.ignore_units(),
                start_angle,
                end_angle,
                radius.to_length_units(from.units),
            );

            exec_state
                .batch_modeling_cmd(
                    ModelingCmdMeta::from_args_id(exec_state, &args, id),
                    ModelingCmd::from(
                        mcmd::ExtendPath::builder()
                            .path(sketch.id.into())
                            .segment(PathSegment::TangentialArc {
                                radius: LengthUnit(radius.to_mm()),
                                offset,
                            })
                            .build(),
                    ),
                )
                .await?;
            (center, to, ccw)
        }
    };
    let loops_back_to_start = does_segment_close_sketch(to, sketch.start.from);

    let current_path = Path::TangentialArc {
        ccw,
        center,
        base: BasePath {
            from: from.ignore_units(),
            to,
            tag: tag.clone(),
            units: sketch.units,
            geo_meta: GeoMeta {
                id,
                metadata: args.source_range.into(),
            },
        },
    };

    let mut new_sketch = sketch;
    if let Some(tag) = &tag {
        new_sketch.add_tag(tag, &current_path, exec_state, None);
    }
    if loops_back_to_start {
        new_sketch.is_closed = ProfileClosed::Implicitly;
    }

    new_sketch.paths.push(current_path);

    Ok(new_sketch)
}

// `to` must be in sketch.units
fn tan_arc_to(sketch: &Sketch, to: [f64; 2]) -> ModelingCmd {
    ModelingCmd::from(
        mcmd::ExtendPath::builder()
            .path(sketch.id.into())
            .segment(PathSegment::TangentialArcTo {
                angle_snap_increment: None,
                to: KPoint2d::from(untyped_point_to_mm(to, sketch.units))
                    .with_z(0.0)
                    .map(LengthUnit),
            })
            .build(),
    )
}

async fn inner_tangential_arc_to_point(
    sketch: Sketch,
    point: [TyF64; 2],
    is_absolute: bool,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    let from: Point2d = sketch.current_pen_position()?;
    let tangent_info = sketch.get_tangential_info_from_paths();
    let tan_previous_point = tangent_info.tan_previous_point(from.ignore_units());

    let point = point_to_len_unit(point, from.units);

    let to = if is_absolute {
        point
    } else {
        [from.x + point[0], from.y + point[1]]
    };
    let loops_back_to_start = does_segment_close_sketch(to, sketch.start.from);
    let [to_x, to_y] = to;
    let result = get_tangential_arc_to_info(TangentialArcInfoInput {
        arc_start_point: [from.x, from.y],
        arc_end_point: [to_x, to_y],
        tan_previous_point,
        obtuse: true,
    });

    if result.center[0].is_infinite() {
        return Err(KclError::new_semantic(KclErrorDetails::new(
            "could not sketch tangential arc, because its center would be infinitely far away in the X direction"
                .to_owned(),
            vec![args.source_range],
        )));
    } else if result.center[1].is_infinite() {
        return Err(KclError::new_semantic(KclErrorDetails::new(
            "could not sketch tangential arc, because its center would be infinitely far away in the Y direction"
                .to_owned(),
            vec![args.source_range],
        )));
    }

    let delta = if is_absolute {
        [to_x - from.x, to_y - from.y]
    } else {
        point
    };
    let id = exec_state.next_uuid();
    exec_state
        .batch_modeling_cmd(
            ModelingCmdMeta::from_args_id(exec_state, &args, id),
            tan_arc_to(&sketch, delta),
        )
        .await?;

    let current_path = Path::TangentialArcTo {
        base: BasePath {
            from: from.ignore_units(),
            to,
            tag: tag.clone(),
            units: sketch.units,
            geo_meta: GeoMeta {
                id,
                metadata: args.source_range.into(),
            },
        },
        center: result.center,
        ccw: result.ccw > 0,
    };

    let mut new_sketch = sketch;
    if let Some(tag) = &tag {
        new_sketch.add_tag(tag, &current_path, exec_state, None);
    }
    if loops_back_to_start {
        new_sketch.is_closed = ProfileClosed::Implicitly;
    }

    new_sketch.paths.push(current_path);

    Ok(new_sketch)
}

/// Draw a bezier curve.
pub async fn bezier_curve(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch = args.get_unlabeled_kw_arg("sketch", &RuntimeType::Primitive(PrimitiveType::Sketch), exec_state)?;
    let control1 = args.get_kw_arg_opt("control1", &RuntimeType::point2d(), exec_state)?;
    let control2 = args.get_kw_arg_opt("control2", &RuntimeType::point2d(), exec_state)?;
    let end = args.get_kw_arg_opt("end", &RuntimeType::point2d(), exec_state)?;
    let control1_absolute = args.get_kw_arg_opt("control1Absolute", &RuntimeType::point2d(), exec_state)?;
    let control2_absolute = args.get_kw_arg_opt("control2Absolute", &RuntimeType::point2d(), exec_state)?;
    let end_absolute = args.get_kw_arg_opt("endAbsolute", &RuntimeType::point2d(), exec_state)?;
    let tag = args.get_kw_arg_opt("tag", &RuntimeType::tag_decl(), exec_state)?;

    let new_sketch = inner_bezier_curve(
        sketch,
        control1,
        control2,
        end,
        control1_absolute,
        control2_absolute,
        end_absolute,
        tag,
        exec_state,
        args,
    )
    .await?;
    Ok(KclValue::Sketch {
        value: Box::new(new_sketch),
    })
}

#[allow(clippy::too_many_arguments)]
async fn inner_bezier_curve(
    sketch: Sketch,
    control1: Option<[TyF64; 2]>,
    control2: Option<[TyF64; 2]>,
    end: Option<[TyF64; 2]>,
    control1_absolute: Option<[TyF64; 2]>,
    control2_absolute: Option<[TyF64; 2]>,
    end_absolute: Option<[TyF64; 2]>,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    let from = sketch.current_pen_position()?;
    let id = exec_state.next_uuid();

    let (to, control1_abs, control2_abs) = match (
        control1,
        control2,
        end,
        control1_absolute,
        control2_absolute,
        end_absolute,
    ) {
        // Relative
        (Some(control1), Some(control2), Some(end), None, None, None) => {
            let delta = end.clone();
            let to = [
                from.x + end[0].to_length_units(from.units),
                from.y + end[1].to_length_units(from.units),
            ];
            // Calculate absolute control points
            let control1_abs = [
                from.x + control1[0].to_length_units(from.units),
                from.y + control1[1].to_length_units(from.units),
            ];
            let control2_abs = [
                from.x + control2[0].to_length_units(from.units),
                from.y + control2[1].to_length_units(from.units),
            ];

            exec_state
                .batch_modeling_cmd(
                    ModelingCmdMeta::from_args_id(exec_state, &args, id),
                    ModelingCmd::from(
                        mcmd::ExtendPath::builder()
                            .path(sketch.id.into())
                            .segment(PathSegment::Bezier {
                                control1: KPoint2d::from(point_to_mm(control1)).with_z(0.0).map(LengthUnit),
                                control2: KPoint2d::from(point_to_mm(control2)).with_z(0.0).map(LengthUnit),
                                end: KPoint2d::from(point_to_mm(delta)).with_z(0.0).map(LengthUnit),
                                relative: true,
                            })
                            .build(),
                    ),
                )
                .await?;
            (to, control1_abs, control2_abs)
        }
        // Absolute
        (None, None, None, Some(control1), Some(control2), Some(end)) => {
            let to = [end[0].to_length_units(from.units), end[1].to_length_units(from.units)];
            let control1_abs = control1.clone().map(|v| v.to_length_units(from.units));
            let control2_abs = control2.clone().map(|v| v.to_length_units(from.units));
            exec_state
                .batch_modeling_cmd(
                    ModelingCmdMeta::from_args_id(exec_state, &args, id),
                    ModelingCmd::from(
                        mcmd::ExtendPath::builder()
                            .path(sketch.id.into())
                            .segment(PathSegment::Bezier {
                                control1: KPoint2d::from(point_to_mm(control1)).with_z(0.0).map(LengthUnit),
                                control2: KPoint2d::from(point_to_mm(control2)).with_z(0.0).map(LengthUnit),
                                end: KPoint2d::from(point_to_mm(end)).with_z(0.0).map(LengthUnit),
                                relative: false,
                            })
                            .build(),
                    ),
                )
                .await?;
            (to, control1_abs, control2_abs)
        }
        _ => {
            return Err(KclError::new_semantic(KclErrorDetails::new(
                "You must either give `control1`, `control2` and `end`, or `control1Absolute`, `control2Absolute` and `endAbsolute`.".to_owned(),
                vec![args.source_range],
            )));
        }
    };

    let loops_back_to_start = does_segment_close_sketch(to, sketch.start.from);

    let current_path = Path::Bezier {
        base: BasePath {
            from: from.ignore_units(),
            to,
            tag: tag.clone(),
            units: sketch.units,
            geo_meta: GeoMeta {
                id,
                metadata: args.source_range.into(),
            },
        },
        control1: control1_abs,
        control2: control2_abs,
    };

    let mut new_sketch = sketch;
    if let Some(tag) = &tag {
        new_sketch.add_tag(tag, &current_path, exec_state, None);
    }
    if loops_back_to_start {
        new_sketch.is_closed = ProfileClosed::Implicitly;
    }

    new_sketch.paths.push(current_path);

    Ok(new_sketch)
}

/// Use a sketch to cut a hole in another sketch.
pub async fn subtract_2d(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch = args.get_unlabeled_kw_arg("sketch", &RuntimeType::Primitive(PrimitiveType::Sketch), exec_state)?;

    let tool: Vec<Sketch> = args.get_kw_arg(
        "tool",
        &RuntimeType::Array(
            Box::new(RuntimeType::Primitive(PrimitiveType::Sketch)),
            ArrayLen::Minimum(1),
        ),
        exec_state,
    )?;

    let new_sketch = inner_subtract_2d(sketch, tool, exec_state, args).await?;
    Ok(KclValue::Sketch {
        value: Box::new(new_sketch),
    })
}

async fn inner_subtract_2d(
    mut sketch: Sketch,
    tool: Vec<Sketch>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    for hole_sketch in tool {
        exec_state
            .batch_modeling_cmd(
                ModelingCmdMeta::from_args(exec_state, &args),
                ModelingCmd::from(
                    mcmd::Solid2dAddHole::builder()
                        .object_id(sketch.id)
                        .hole_id(hole_sketch.id)
                        .build(),
                ),
            )
            .await?;

        // Hide the source hole since it's no longer its own profile,
        // it's just used to modify some other profile.
        exec_state
            .batch_modeling_cmd(
                ModelingCmdMeta::from_args(exec_state, &args),
                ModelingCmd::from(
                    mcmd::ObjectVisible::builder()
                        .object_id(hole_sketch.id)
                        .hidden(true)
                        .build(),
                ),
            )
            .await?;

        // NOTE: We don't look at the inner paths of the hole/tool sketch.
        // So if you have circle A, and it has a circular hole cut out (B),
        // then you cut A out of an even bigger circle C, we will lose that info.
        // Not really sure what to do about this.
        sketch.inner_paths.extend_from_slice(&hole_sketch.paths);
    }

    // Returns the input sketch, exactly as it was, zero modifications.
    // This means the edges from `tool` are basically ignored, they're not in the output.
    Ok(sketch)
}

/// Calculate the (x, y) point on an ellipse given x or y and the major/minor radii of the ellipse.
pub async fn elliptic_point(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let x = args.get_kw_arg_opt("x", &RuntimeType::length(), exec_state)?;
    let y = args.get_kw_arg_opt("y", &RuntimeType::length(), exec_state)?;
    let major_radius = args.get_kw_arg("majorRadius", &RuntimeType::num_any(), exec_state)?;
    let minor_radius = args.get_kw_arg("minorRadius", &RuntimeType::num_any(), exec_state)?;

    let elliptic_point = inner_elliptic_point(x, y, major_radius, minor_radius, &args).await?;

    args.make_kcl_val_from_point(elliptic_point, exec_state.length_unit().into())
}

async fn inner_elliptic_point(
    x: Option<TyF64>,
    y: Option<TyF64>,
    major_radius: TyF64,
    minor_radius: TyF64,
    args: &Args,
) -> Result<[f64; 2], KclError> {
    let major_radius = major_radius.n;
    let minor_radius = minor_radius.n;
    if let Some(x) = x {
        if x.n.abs() > major_radius {
            Err(KclError::Type {
                details: KclErrorDetails::new(
                    format!(
                        "Invalid input. The x value, {}, cannot be larger than the major radius {}.",
                        x.n, major_radius
                    ),
                    vec![args.source_range],
                ),
            })
        } else {
            Ok((
                x.n,
                minor_radius * (1.0 - x.n.powf(2.0) / major_radius.powf(2.0)).sqrt(),
            )
                .into())
        }
    } else if let Some(y) = y {
        if y.n > minor_radius {
            Err(KclError::Type {
                details: KclErrorDetails::new(
                    format!(
                        "Invalid input. The y value, {}, cannot be larger than the minor radius {}.",
                        y.n, minor_radius
                    ),
                    vec![args.source_range],
                ),
            })
        } else {
            Ok((
                major_radius * (1.0 - y.n.powf(2.0) / minor_radius.powf(2.0)).sqrt(),
                y.n,
            )
                .into())
        }
    } else {
        Err(KclError::Type {
            details: KclErrorDetails::new(
                "Invalid input. Must have either x or y, you cannot have both or neither.".to_owned(),
                vec![args.source_range],
            ),
        })
    }
}

/// Draw an elliptical arc.
pub async fn elliptic(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch = args.get_unlabeled_kw_arg("sketch", &RuntimeType::Primitive(PrimitiveType::Sketch), exec_state)?;

    let center = args.get_kw_arg("center", &RuntimeType::point2d(), exec_state)?;
    let angle_start = args.get_kw_arg("angleStart", &RuntimeType::degrees(), exec_state)?;
    let angle_end = args.get_kw_arg("angleEnd", &RuntimeType::degrees(), exec_state)?;
    let major_radius = args.get_kw_arg_opt("majorRadius", &RuntimeType::length(), exec_state)?;
    let major_axis = args.get_kw_arg_opt("majorAxis", &RuntimeType::point2d(), exec_state)?;
    let minor_radius = args.get_kw_arg("minorRadius", &RuntimeType::length(), exec_state)?;
    let tag = args.get_kw_arg_opt("tag", &RuntimeType::tag_decl(), exec_state)?;

    let new_sketch = inner_elliptic(
        sketch,
        center,
        angle_start,
        angle_end,
        major_radius,
        major_axis,
        minor_radius,
        tag,
        exec_state,
        args,
    )
    .await?;
    Ok(KclValue::Sketch {
        value: Box::new(new_sketch),
    })
}

#[allow(clippy::too_many_arguments)]
pub(crate) async fn inner_elliptic(
    sketch: Sketch,
    center: [TyF64; 2],
    angle_start: TyF64,
    angle_end: TyF64,
    major_radius: Option<TyF64>,
    major_axis: Option<[TyF64; 2]>,
    minor_radius: TyF64,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    let from: Point2d = sketch.current_pen_position()?;
    let id = exec_state.next_uuid();

    let center_u = point_to_len_unit(center, from.units);

    let major_axis = match (major_axis, major_radius) {
        (Some(_), Some(_)) | (None, None) => {
            return Err(KclError::new_type(KclErrorDetails::new(
                "Provide either `majorAxis` or `majorRadius`.".to_string(),
                vec![args.source_range],
            )));
        }
        (Some(major_axis), None) => major_axis,
        (None, Some(major_radius)) => [
            major_radius.clone(),
            TyF64 {
                n: 0.0,
                ty: major_radius.ty,
            },
        ],
    };
    let start_angle = Angle::from_degrees(angle_start.to_degrees(exec_state, args.source_range));
    let end_angle = Angle::from_degrees(angle_end.to_degrees(exec_state, args.source_range));
    let major_axis_magnitude = (major_axis[0].to_length_units(from.units) * major_axis[0].to_length_units(from.units)
        + major_axis[1].to_length_units(from.units) * major_axis[1].to_length_units(from.units))
    .sqrt();
    let to = [
        major_axis_magnitude * libm::cos(end_angle.to_radians()),
        minor_radius.to_length_units(from.units) * libm::sin(end_angle.to_radians()),
    ];
    let loops_back_to_start = does_segment_close_sketch(to, sketch.start.from);
    let major_axis_angle = libm::atan2(major_axis[1].n, major_axis[0].n);

    let point = [
        center_u[0] + to[0] * libm::cos(major_axis_angle) - to[1] * libm::sin(major_axis_angle),
        center_u[1] + to[0] * libm::sin(major_axis_angle) + to[1] * libm::cos(major_axis_angle),
    ];

    let axis = major_axis.map(|x| x.to_mm());
    exec_state
        .batch_modeling_cmd(
            ModelingCmdMeta::from_args_id(exec_state, &args, id),
            ModelingCmd::from(
                mcmd::ExtendPath::builder()
                    .path(sketch.id.into())
                    .segment(PathSegment::Ellipse {
                        center: KPoint2d::from(untyped_point_to_mm(center_u, from.units)).map(LengthUnit),
                        major_axis: axis.map(LengthUnit).into(),
                        minor_radius: LengthUnit(minor_radius.to_mm()),
                        start_angle,
                        end_angle,
                    })
                    .build(),
            ),
        )
        .await?;

    let current_path = Path::Ellipse {
        ccw: start_angle < end_angle,
        center: center_u,
        major_axis: axis,
        minor_radius: minor_radius.to_mm(),
        base: BasePath {
            from: from.ignore_units(),
            to: point,
            tag: tag.clone(),
            units: sketch.units,
            geo_meta: GeoMeta {
                id,
                metadata: args.source_range.into(),
            },
        },
    };
    let mut new_sketch = sketch;
    if let Some(tag) = &tag {
        new_sketch.add_tag(tag, &current_path, exec_state, None);
    }
    if loops_back_to_start {
        new_sketch.is_closed = ProfileClosed::Implicitly;
    }

    new_sketch.paths.push(current_path);

    Ok(new_sketch)
}

/// Calculate the (x, y) point on an hyperbola given x or y and the semi major/minor of the ellipse.
pub async fn hyperbolic_point(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let x = args.get_kw_arg_opt("x", &RuntimeType::length(), exec_state)?;
    let y = args.get_kw_arg_opt("y", &RuntimeType::length(), exec_state)?;
    let semi_major = args.get_kw_arg("semiMajor", &RuntimeType::num_any(), exec_state)?;
    let semi_minor = args.get_kw_arg("semiMinor", &RuntimeType::num_any(), exec_state)?;

    let hyperbolic_point = inner_hyperbolic_point(x, y, semi_major, semi_minor, &args).await?;

    args.make_kcl_val_from_point(hyperbolic_point, exec_state.length_unit().into())
}

async fn inner_hyperbolic_point(
    x: Option<TyF64>,
    y: Option<TyF64>,
    semi_major: TyF64,
    semi_minor: TyF64,
    args: &Args,
) -> Result<[f64; 2], KclError> {
    let semi_major = semi_major.n;
    let semi_minor = semi_minor.n;
    if let Some(x) = x {
        if x.n.abs() < semi_major {
            Err(KclError::Type {
                details: KclErrorDetails::new(
                    format!(
                        "Invalid input. The x value, {}, cannot be less than the semi major value, {}.",
                        x.n, semi_major
                    ),
                    vec![args.source_range],
                ),
            })
        } else {
            Ok((x.n, semi_minor * (x.n.powf(2.0) / semi_major.powf(2.0) - 1.0).sqrt()).into())
        }
    } else if let Some(y) = y {
        Ok((semi_major * (y.n.powf(2.0) / semi_minor.powf(2.0) + 1.0).sqrt(), y.n).into())
    } else {
        Err(KclError::Type {
            details: KclErrorDetails::new(
                "Invalid input. Must have either x or y, cannot have both or neither.".to_owned(),
                vec![args.source_range],
            ),
        })
    }
}

/// Draw a hyperbolic arc.
pub async fn hyperbolic(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch = args.get_unlabeled_kw_arg("sketch", &RuntimeType::Primitive(PrimitiveType::Sketch), exec_state)?;

    let semi_major = args.get_kw_arg("semiMajor", &RuntimeType::length(), exec_state)?;
    let semi_minor = args.get_kw_arg("semiMinor", &RuntimeType::length(), exec_state)?;
    let interior = args.get_kw_arg_opt("interior", &RuntimeType::point2d(), exec_state)?;
    let end = args.get_kw_arg_opt("end", &RuntimeType::point2d(), exec_state)?;
    let interior_absolute = args.get_kw_arg_opt("interiorAbsolute", &RuntimeType::point2d(), exec_state)?;
    let end_absolute = args.get_kw_arg_opt("endAbsolute", &RuntimeType::point2d(), exec_state)?;
    let tag = args.get_kw_arg_opt("tag", &RuntimeType::tag_decl(), exec_state)?;

    let new_sketch = inner_hyperbolic(
        sketch,
        semi_major,
        semi_minor,
        interior,
        end,
        interior_absolute,
        end_absolute,
        tag,
        exec_state,
        args,
    )
    .await?;
    Ok(KclValue::Sketch {
        value: Box::new(new_sketch),
    })
}

/// Calculate the tangent of a hyperbolic given a point on the curve
fn hyperbolic_tangent(point: Point2d, semi_major: f64, semi_minor: f64) -> [f64; 2] {
    (point.y * semi_major.powf(2.0), point.x * semi_minor.powf(2.0)).into()
}

#[allow(clippy::too_many_arguments)]
pub(crate) async fn inner_hyperbolic(
    sketch: Sketch,
    semi_major: TyF64,
    semi_minor: TyF64,
    interior: Option<[TyF64; 2]>,
    end: Option<[TyF64; 2]>,
    interior_absolute: Option<[TyF64; 2]>,
    end_absolute: Option<[TyF64; 2]>,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    let from = sketch.current_pen_position()?;
    let id = exec_state.next_uuid();

    let (interior, end, relative) = match (interior, end, interior_absolute, end_absolute) {
        (Some(interior), Some(end), None, None) => (interior, end, true),
        (None, None, Some(interior_absolute), Some(end_absolute)) => (interior_absolute, end_absolute, false),
        _ => return Err(KclError::Type {
            details: KclErrorDetails::new(
                "Invalid combination of arguments. Either provide (end, interior) or (endAbsolute, interiorAbsolute)"
                    .to_owned(),
                vec![args.source_range],
            ),
        }),
    };

    let interior = point_to_len_unit(interior, from.units);
    let end = point_to_len_unit(end, from.units);
    let end_point = Point2d {
        x: end[0],
        y: end[1],
        units: from.units,
    };
    let loops_back_to_start = does_segment_close_sketch(end, sketch.start.from);

    let semi_major_u = semi_major.to_length_units(from.units);
    let semi_minor_u = semi_minor.to_length_units(from.units);

    let start_tangent = hyperbolic_tangent(from, semi_major_u, semi_minor_u);
    let end_tangent = hyperbolic_tangent(end_point, semi_major_u, semi_minor_u);

    exec_state
        .batch_modeling_cmd(
            ModelingCmdMeta::from_args_id(exec_state, &args, id),
            ModelingCmd::from(
                mcmd::ExtendPath::builder()
                    .path(sketch.id.into())
                    .segment(PathSegment::ConicTo {
                        start_tangent: KPoint2d::from(untyped_point_to_mm(start_tangent, from.units)).map(LengthUnit),
                        end_tangent: KPoint2d::from(untyped_point_to_mm(end_tangent, from.units)).map(LengthUnit),
                        end: KPoint2d::from(untyped_point_to_mm(end, from.units)).map(LengthUnit),
                        interior: KPoint2d::from(untyped_point_to_mm(interior, from.units)).map(LengthUnit),
                        relative,
                    })
                    .build(),
            ),
        )
        .await?;

    let current_path = Path::Conic {
        base: BasePath {
            from: from.ignore_units(),
            to: end,
            tag: tag.clone(),
            units: sketch.units,
            geo_meta: GeoMeta {
                id,
                metadata: args.source_range.into(),
            },
        },
    };

    let mut new_sketch = sketch;
    if let Some(tag) = &tag {
        new_sketch.add_tag(tag, &current_path, exec_state, None);
    }
    if loops_back_to_start {
        new_sketch.is_closed = ProfileClosed::Implicitly;
    }

    new_sketch.paths.push(current_path);

    Ok(new_sketch)
}

/// Calculate the point on a parabola given the coefficient of the parabola and either x or y
pub async fn parabolic_point(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let x = args.get_kw_arg_opt("x", &RuntimeType::length(), exec_state)?;
    let y = args.get_kw_arg_opt("y", &RuntimeType::length(), exec_state)?;
    let coefficients = args.get_kw_arg(
        "coefficients",
        &RuntimeType::Array(Box::new(RuntimeType::num_any()), ArrayLen::Known(3)),
        exec_state,
    )?;

    let parabolic_point = inner_parabolic_point(x, y, &coefficients, &args).await?;

    args.make_kcl_val_from_point(parabolic_point, exec_state.length_unit().into())
}

async fn inner_parabolic_point(
    x: Option<TyF64>,
    y: Option<TyF64>,
    coefficients: &[TyF64; 3],
    args: &Args,
) -> Result<[f64; 2], KclError> {
    let a = coefficients[0].n;
    let b = coefficients[1].n;
    let c = coefficients[2].n;
    if let Some(x) = x {
        Ok((x.n, a * x.n.powf(2.0) + b * x.n + c).into())
    } else if let Some(y) = y {
        let det = (b.powf(2.0) - 4.0 * a * (c - y.n)).sqrt();
        Ok(((-b + det) / (2.0 * a), y.n).into())
    } else {
        Err(KclError::Type {
            details: KclErrorDetails::new(
                "Invalid input. Must have either x or y, cannot have both or neither.".to_owned(),
                vec![args.source_range],
            ),
        })
    }
}

/// Draw a parabolic arc.
pub async fn parabolic(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch = args.get_unlabeled_kw_arg("sketch", &RuntimeType::Primitive(PrimitiveType::Sketch), exec_state)?;

    let coefficients = args.get_kw_arg_opt(
        "coefficients",
        &RuntimeType::Array(Box::new(RuntimeType::num_any()), ArrayLen::Known(3)),
        exec_state,
    )?;
    let interior = args.get_kw_arg_opt("interior", &RuntimeType::point2d(), exec_state)?;
    let end = args.get_kw_arg_opt("end", &RuntimeType::point2d(), exec_state)?;
    let interior_absolute = args.get_kw_arg_opt("interiorAbsolute", &RuntimeType::point2d(), exec_state)?;
    let end_absolute = args.get_kw_arg_opt("endAbsolute", &RuntimeType::point2d(), exec_state)?;
    let tag = args.get_kw_arg_opt("tag", &RuntimeType::tag_decl(), exec_state)?;

    let new_sketch = inner_parabolic(
        sketch,
        coefficients,
        interior,
        end,
        interior_absolute,
        end_absolute,
        tag,
        exec_state,
        args,
    )
    .await?;
    Ok(KclValue::Sketch {
        value: Box::new(new_sketch),
    })
}

fn parabolic_tangent(point: Point2d, a: f64, b: f64) -> [f64; 2] {
    //f(x) = ax^2 + bx + c
    //f'(x) = 2ax + b
    (1.0, 2.0 * a * point.x + b).into()
}

#[allow(clippy::too_many_arguments)]
pub(crate) async fn inner_parabolic(
    sketch: Sketch,
    coefficients: Option<[TyF64; 3]>,
    interior: Option<[TyF64; 2]>,
    end: Option<[TyF64; 2]>,
    interior_absolute: Option<[TyF64; 2]>,
    end_absolute: Option<[TyF64; 2]>,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    let from = sketch.current_pen_position()?;
    let id = exec_state.next_uuid();

    if (coefficients.is_some() && interior.is_some()) || (coefficients.is_none() && interior.is_none()) {
        return Err(KclError::Type {
            details: KclErrorDetails::new(
                "Invalid combination of arguments. Either provide (a, b, c) or (interior)".to_owned(),
                vec![args.source_range],
            ),
        });
    }

    let (interior, end, relative) = match (coefficients.clone(), interior, end, interior_absolute, end_absolute) {
        (None, Some(interior), Some(end), None, None) => {
            let interior = point_to_len_unit(interior, from.units);
            let end = point_to_len_unit(end, from.units);
            (interior,end, true)
        },
        (None, None, None, Some(interior_absolute), Some(end_absolute)) => {
            let interior_absolute = point_to_len_unit(interior_absolute, from.units);
            let end_absolute = point_to_len_unit(end_absolute, from.units);
            (interior_absolute, end_absolute, false)
        }
        (Some(coefficients), _, Some(end), _, _) => {
            let end = point_to_len_unit(end, from.units);
            let interior =
            inner_parabolic_point(
                Some(TyF64::count(0.5 * (from.x + end[0]))),
                None,
                &coefficients,
                &args,
            )
            .await?;
            (interior, end, true)
        }
        (Some(coefficients), _, _, _, Some(end)) => {
            let end = point_to_len_unit(end, from.units);
            let interior =
            inner_parabolic_point(
                Some(TyF64::count(0.5 * (from.x + end[0]))),
                None,
                &coefficients,
                &args,
            )
            .await?;
            (interior, end, false)
        }
        _ => return
            Err(KclError::Type{details: KclErrorDetails::new(
                "Invalid combination of arguments. Either provide (end, interior) or (endAbsolute, interiorAbsolute) if coefficients are not provided."
                    .to_owned(),
                vec![args.source_range],
            )}),
    };

    let end_point = Point2d {
        x: end[0],
        y: end[1],
        units: from.units,
    };

    let (a, b, _c) = if let Some([a, b, c]) = coefficients {
        (a.n, b.n, c.n)
    } else {
        // Any three points is enough to uniquely define a parabola
        let denom = (from.x - interior[0]) * (from.x - end_point.x) * (interior[0] - end_point.x);
        let a = (end_point.x * (interior[1] - from.y)
            + interior[0] * (from.y - end_point.y)
            + from.x * (end_point.y - interior[1]))
            / denom;
        let b = (end_point.x.powf(2.0) * (from.y - interior[1])
            + interior[0].powf(2.0) * (end_point.y - from.y)
            + from.x.powf(2.0) * (interior[1] - end_point.y))
            / denom;
        let c = (interior[0] * end_point.x * (interior[0] - end_point.x) * from.y
            + end_point.x * from.x * (end_point.x - from.x) * interior[1]
            + from.x * interior[0] * (from.x - interior[0]) * end_point.y)
            / denom;

        (a, b, c)
    };

    let start_tangent = parabolic_tangent(from, a, b);
    let end_tangent = parabolic_tangent(end_point, a, b);

    exec_state
        .batch_modeling_cmd(
            ModelingCmdMeta::from_args_id(exec_state, &args, id),
            ModelingCmd::from(
                mcmd::ExtendPath::builder()
                    .path(sketch.id.into())
                    .segment(PathSegment::ConicTo {
                        start_tangent: KPoint2d::from(untyped_point_to_mm(start_tangent, from.units)).map(LengthUnit),
                        end_tangent: KPoint2d::from(untyped_point_to_mm(end_tangent, from.units)).map(LengthUnit),
                        end: KPoint2d::from(untyped_point_to_mm(end, from.units)).map(LengthUnit),
                        interior: KPoint2d::from(untyped_point_to_mm(interior, from.units)).map(LengthUnit),
                        relative,
                    })
                    .build(),
            ),
        )
        .await?;

    let current_path = Path::Conic {
        base: BasePath {
            from: from.ignore_units(),
            to: end,
            tag: tag.clone(),
            units: sketch.units,
            geo_meta: GeoMeta {
                id,
                metadata: args.source_range.into(),
            },
        },
    };

    let mut new_sketch = sketch;
    if let Some(tag) = &tag {
        new_sketch.add_tag(tag, &current_path, exec_state, None);
    }

    new_sketch.paths.push(current_path);

    Ok(new_sketch)
}

fn conic_tangent(coefficients: [f64; 6], point: [f64; 2]) -> [f64; 2] {
    let [a, b, c, d, e, _] = coefficients;

    (
        c * point[0] + 2.0 * b * point[1] + e,
        -(2.0 * a * point[0] + c * point[1] + d),
    )
        .into()
}

/// Draw a conic section
pub async fn conic(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let sketch = args.get_unlabeled_kw_arg("sketch", &RuntimeType::Primitive(PrimitiveType::Sketch), exec_state)?;

    let start_tangent = args.get_kw_arg_opt("startTangent", &RuntimeType::point2d(), exec_state)?;
    let end_tangent = args.get_kw_arg_opt("endTangent", &RuntimeType::point2d(), exec_state)?;
    let end = args.get_kw_arg_opt("end", &RuntimeType::point2d(), exec_state)?;
    let interior = args.get_kw_arg_opt("interior", &RuntimeType::point2d(), exec_state)?;
    let end_absolute = args.get_kw_arg_opt("endAbsolute", &RuntimeType::point2d(), exec_state)?;
    let interior_absolute = args.get_kw_arg_opt("interiorAbsolute", &RuntimeType::point2d(), exec_state)?;
    let coefficients = args.get_kw_arg_opt(
        "coefficients",
        &RuntimeType::Array(Box::new(RuntimeType::num_any()), ArrayLen::Known(6)),
        exec_state,
    )?;
    let tag = args.get_kw_arg_opt("tag", &RuntimeType::tag_decl(), exec_state)?;

    let new_sketch = inner_conic(
        sketch,
        start_tangent,
        end,
        end_tangent,
        interior,
        coefficients,
        interior_absolute,
        end_absolute,
        tag,
        exec_state,
        args,
    )
    .await?;
    Ok(KclValue::Sketch {
        value: Box::new(new_sketch),
    })
}

#[allow(clippy::too_many_arguments)]
pub(crate) async fn inner_conic(
    sketch: Sketch,
    start_tangent: Option<[TyF64; 2]>,
    end: Option<[TyF64; 2]>,
    end_tangent: Option<[TyF64; 2]>,
    interior: Option<[TyF64; 2]>,
    coefficients: Option<[TyF64; 6]>,
    interior_absolute: Option<[TyF64; 2]>,
    end_absolute: Option<[TyF64; 2]>,
    tag: Option<TagNode>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<Sketch, KclError> {
    let from: Point2d = sketch.current_pen_position()?;
    let id = exec_state.next_uuid();

    if (coefficients.is_some() && (start_tangent.is_some() || end_tangent.is_some()))
        || (coefficients.is_none() && (start_tangent.is_none() && end_tangent.is_none()))
    {
        return Err(KclError::Type {
            details: KclErrorDetails::new(
                "Invalid combination of arguments. Either provide coefficients or (startTangent, endTangent)"
                    .to_owned(),
                vec![args.source_range],
            ),
        });
    }

    let (interior, end, relative) = match (interior, end, interior_absolute, end_absolute) {
        (Some(interior), Some(end), None, None) => (interior, end, true),
        (None, None, Some(interior_absolute), Some(end_absolute)) => (interior_absolute, end_absolute, false),
        _ => return Err(KclError::Type {
            details: KclErrorDetails::new(
                "Invalid combination of arguments. Either provide (end, interior) or (endAbsolute, interiorAbsolute)"
                    .to_owned(),
                vec![args.source_range],
            ),
        }),
    };

    let end = point_to_len_unit(end, from.units);
    let interior = point_to_len_unit(interior, from.units);

    let (start_tangent, end_tangent) = if let Some(coeffs) = coefficients {
        let (coeffs, _) = untype_array(coeffs);
        (conic_tangent(coeffs, [from.x, from.y]), conic_tangent(coeffs, end))
    } else {
        let start = if let Some(start_tangent) = start_tangent {
            point_to_len_unit(start_tangent, from.units)
        } else {
            let previous_point = sketch
                .get_tangential_info_from_paths()
                .tan_previous_point(from.ignore_units());
            let from = from.ignore_units();
            [from[0] - previous_point[0], from[1] - previous_point[1]]
        };

        let Some(end_tangent) = end_tangent else {
            return Err(KclError::new_semantic(KclErrorDetails::new(
                "You must either provide either `coefficients` or `endTangent`.".to_owned(),
                vec![args.source_range],
            )));
        };
        let end_tan = point_to_len_unit(end_tangent, from.units);
        (start, end_tan)
    };

    exec_state
        .batch_modeling_cmd(
            ModelingCmdMeta::from_args_id(exec_state, &args, id),
            ModelingCmd::from(
                mcmd::ExtendPath::builder()
                    .path(sketch.id.into())
                    .segment(PathSegment::ConicTo {
                        start_tangent: KPoint2d::from(untyped_point_to_mm(start_tangent, from.units)).map(LengthUnit),
                        end_tangent: KPoint2d::from(untyped_point_to_mm(end_tangent, from.units)).map(LengthUnit),
                        end: KPoint2d::from(untyped_point_to_mm(end, from.units)).map(LengthUnit),
                        interior: KPoint2d::from(untyped_point_to_mm(interior, from.units)).map(LengthUnit),
                        relative,
                    })
                    .build(),
            ),
        )
        .await?;

    let current_path = Path::Conic {
        base: BasePath {
            from: from.ignore_units(),
            to: end,
            tag: tag.clone(),
            units: sketch.units,
            geo_meta: GeoMeta {
                id,
                metadata: args.source_range.into(),
            },
        },
    };

    let mut new_sketch = sketch;
    if let Some(tag) = &tag {
        new_sketch.add_tag(tag, &current_path, exec_state, None);
    }

    new_sketch.paths.push(current_path);

    Ok(new_sketch)
}

pub(super) async fn region(exec_state: &mut ExecState, args: Args) -> Result<KclValue, KclError> {
    let point = args.get_kw_arg_opt(
        "point",
        &RuntimeType::Union(vec![RuntimeType::point2d(), RuntimeType::segment()]),
        exec_state,
    )?;
    let segments = args.get_kw_arg_opt(
        "segments",
        &RuntimeType::Array(Box::new(RuntimeType::segment()), ArrayLen::Minimum(1)),
        exec_state,
    )?;
    let intersection_index = args.get_kw_arg_opt("intersectionIndex", &RuntimeType::count(), exec_state)?;
    let direction = args.get_kw_arg_opt("direction", &RuntimeType::string(), exec_state)?;
    let sketch = args.get_kw_arg_opt("sketch", &RuntimeType::any(), exec_state)?;
    inner_region(point, segments, intersection_index, direction, sketch, exec_state, args).await
}

/// Helper enum to reduce cloning of Sketch and Segment in the two branches of
/// region creation.
#[expect(clippy::large_enum_variant)]
enum SketchOrSegment {
    Sketch(Sketch),
    Segment(Segment),
}

impl SketchOrSegment {
    fn sketch(&self) -> Result<&Sketch, KclError> {
        match self {
            SketchOrSegment::Sketch(sketch) => Ok(sketch),
            SketchOrSegment::Segment(segment) => segment.sketch.as_ref().ok_or_else(|| {
                KclError::new_semantic(KclErrorDetails::new(
                    "Segment should have an associated sketch".to_owned(),
                    vec![],
                ))
            }),
        }
    }
}

async fn inner_region(
    point: Option<KclValue>,
    segments: Option<Vec<KclValue>>,
    intersection_index: Option<TyF64>,
    direction: Option<CircularDirection>,
    sketch: Option<KclValue>,
    exec_state: &mut ExecState,
    args: Args,
) -> Result<KclValue, KclError> {
    let region_id = exec_state.next_uuid();

    let (sketch_or_segment, region_mapping) = match (point, segments) {
        (Some(point), None) => {
            let (sketch, pt) = region_from_point(point, sketch, &args)?;

            let meta = ModelingCmdMeta::from_args_id(exec_state, &args, region_id);
            let response = exec_state
                .send_modeling_cmd(
                    meta,
                    ModelingCmd::from(
                        mcmd::CreateRegionFromQueryPoint::builder()
                            .object_id(sketch.sketch()?.id)
                            .query_point(KPoint2d::from(point_to_mm(pt.clone())).map(LengthUnit))
                            .build(),
                    ),
                )
                .await?;

            let region_mapping = if let kcmc::websocket::OkWebSocketResponseData::Modeling {
                modeling_response: kcmc::ok_response::OkModelingCmdResponse::CreateRegionFromQueryPoint(data),
            } = response
            {
                data.region_mapping
            } else {
                Default::default()
            };

            (sketch, region_mapping)
        }
        (None, Some(segments)) => {
            if sketch.is_some() {
                return Err(KclError::new_semantic(KclErrorDetails::new(
                    "Sketch parameter must not be provided when segments parameters is provided".to_owned(),
                    vec![args.source_range],
                )));
            }
            let segments_len = segments.len();
            let mut segments = segments.into_iter();
            let Some(seg0_value) = segments.next() else {
                return Err(KclError::new_argument(KclErrorDetails::new(
                    format!("Expected at least 1 segment to create a region, but got {segments_len}"),
                    vec![args.source_range],
                )));
            };
            let seg1_value = segments.next().unwrap_or_else(|| seg0_value.clone());
            let Some(seg0) = seg0_value.into_segment() else {
                return Err(KclError::new_argument(KclErrorDetails::new(
                    "Expected first segment to be a Segment".to_owned(),
                    vec![args.source_range],
                )));
            };
            let Some(seg1) = seg1_value.into_segment() else {
                return Err(KclError::new_argument(KclErrorDetails::new(
                    "Expected second segment to be a Segment".to_owned(),
                    vec![args.source_range],
                )));
            };
            let intersection_index = intersection_index.map(|n| n.n as i32).unwrap_or(-1);
            let direction = direction.unwrap_or(CircularDirection::Counterclockwise);

            let Some(sketch) = &seg0.sketch else {
                return Err(KclError::new_semantic(KclErrorDetails::new(
                    "Expected first segment to have an associated sketch. The sketch must be solved to create a region from it.".to_owned(),
                    vec![args.source_range],
                )));
            };

            let meta = ModelingCmdMeta::from_args_id(exec_state, &args, region_id);
            let response = exec_state
                .send_modeling_cmd(
                    meta,
                    ModelingCmd::from(
                        mcmd::CreateRegion::builder()
                            .object_id(sketch.id)
                            .segment(seg0.id)
                            .intersection_segment(seg1.id)
                            .intersection_index(intersection_index)
                            .curve_clockwise(direction.is_clockwise())
                            .build(),
                    ),
                )
                .await?;

            let region_mapping = if let kcmc::websocket::OkWebSocketResponseData::Modeling {
                modeling_response: kcmc::ok_response::OkModelingCmdResponse::CreateRegion(data),
            } = response
            {
                data.region_mapping
            } else {
                Default::default()
            };

            (SketchOrSegment::Segment(seg0), region_mapping)
        }
        (Some(_), Some(_)) => {
            return Err(KclError::new_semantic(KclErrorDetails::new(
                "Cannot provide both point and segments parameters. Choose one.".to_owned(),
                vec![args.source_range],
            )));
        }
        (None, None) => {
            return Err(KclError::new_semantic(KclErrorDetails::new(
                "Either point or segments parameter must be provided".to_owned(),
                vec![args.source_range],
            )));
        }
    };

    let units = exec_state.length_unit();
    let to = [0.0, 0.0];
    let first_path = Path::ToPoint {
        base: BasePath {
            from: to,
            to,
            units,
            tag: None,
            geo_meta: GeoMeta {
                id: match &sketch_or_segment {
                    SketchOrSegment::Sketch(sketch) => sketch.id,
                    SketchOrSegment::Segment(segment) => segment.id,
                },
                metadata: args.source_range.into(),
            },
        },
    };
    let start_base_path = BasePath {
        from: to,
        to,
        tag: None,
        units,
        geo_meta: GeoMeta {
            id: region_id,
            metadata: args.source_range.into(),
        },
    };
    let mut sketch = match sketch_or_segment {
        SketchOrSegment::Sketch(sketch) => sketch,
        SketchOrSegment::Segment(segment) => {
            if let Some(sketch) = segment.sketch {
                sketch
            } else {
                Sketch {
                    id: region_id,
                    original_id: region_id,
                    artifact_id: region_id.into(),
                    on: segment.surface.clone(),
                    paths: vec![first_path],
                    inner_paths: vec![],
                    units,
                    mirror: Default::default(),
                    clone: Default::default(),
                    synthetic_jump_path_ids: vec![],
                    meta: vec![args.source_range.into()],
                    tags: Default::default(),
                    start: start_base_path,
                    is_closed: ProfileClosed::Explicitly,
                }
            }
        }
    };
    sketch.id = region_id;
    sketch.original_id = region_id;
    sketch.artifact_id = region_id.into();

    let mut region_mapping = region_mapping;
    if args.ctx.no_engine_commands().await && region_mapping.is_empty() {
        let mut mock_mapping = HashMap::new();
        for path in &sketch.paths {
            mock_mapping.insert(exec_state.next_uuid(), path.get_id());
        }
        region_mapping = mock_mapping;
    }
    let original_segment_ids = sketch.paths.iter().map(|p| p.get_id()).collect::<Vec<_>>();
    let original_seg_to_region = build_reverse_region_mapping(&region_mapping, &original_segment_ids);

    {
        let mut new_paths = Vec::new();
        for path in &sketch.paths {
            let original_id = path.get_id();
            if let Some(region_ids) = original_seg_to_region.get(&original_id) {
                for region_id in region_ids {
                    let mut new_path = path.clone();
                    new_path.set_id(*region_id);
                    new_paths.push(new_path);
                }
            }
        }

        // After mirror2d, sketch.paths still has the original (pre-mirror)
        // segment IDs. The region_mapping values are mirrored entity edge
        // IDs which don't match, so the remapping above produces no paths.
        // Fall back to creating paths from the region_mapping keys directly.
        if new_paths.is_empty() && !region_mapping.is_empty() {
            // Sort because the input order is undefined. We need to be
            // deterministic.
            for region_edge_id in region_mapping.keys().sorted_unstable() {
                // We don't know what the actual values are. We just need
                // something so that `do_post_extrude()` has the correct segment
                // IDs.
                new_paths.push(Path::ToPoint {
                    base: BasePath {
                        from: [0.0, 0.0],
                        to: [0.0, 0.0],
                        units,
                        tag: None,
                        geo_meta: GeoMeta {
                            id: *region_edge_id,
                            metadata: args.source_range.into(),
                        },
                    },
                });
            }
        }

        sketch.paths = new_paths;

        for (_tag_name, tag) in &mut sketch.tags {
            let Some(info) = tag.get_cur_info().cloned() else {
                continue;
            };
            let original_id = info.id;
            if let Some(region_ids) = original_seg_to_region.get(&original_id) {
                let epoch = tag.info.last().map(|(e, _)| *e).unwrap_or(0);
                for (i, region_id) in region_ids.iter().enumerate() {
                    if i == 0 {
                        if let Some((_, existing)) = tag.info.last_mut() {
                            existing.id = *region_id;
                        }
                    } else {
                        let mut new_info = info.clone();
                        new_info.id = *region_id;
                        tag.info.push((epoch, new_info));
                    }
                }
            }
        }
    }

    // After mirror2d, sketch.mirror holds an edge from the mirrored entity
    // which is not valid on the region. Update it to a region edge so that
    // do_post_extrude can use it for Solid3dGetExtrusionFaceInfo.
    if sketch.mirror.is_some() {
        sketch.mirror = sketch.paths.first().map(|p| p.get_id());
    }

    sketch.meta.push(args.source_range.into());
    sketch.is_closed = ProfileClosed::Explicitly;

    Ok(KclValue::Sketch {
        value: Box::new(sketch),
    })
}

/// The region mapping returned from the engine maps from region segment ID to
/// the original sketch segment ID. Create the reverse mapping, i.e. original
/// sketch segment ID to region segment IDs, where the entries are ordered by
/// the given original segments.
///
/// This runs in O(r + s) where r is the number of segments in the region, and s
/// is the number of segments in the original sketch. Technically, it's more
/// complicated since we also sort region segments, but in practice, there
/// should be very few of these.
pub(crate) fn build_reverse_region_mapping(
    region_mapping: &HashMap<Uuid, Uuid>,
    original_segments: &[Uuid],
) -> IndexMap<Uuid, Vec<Uuid>> {
    let mut reverse: HashMap<Uuid, Vec<Uuid>> = HashMap::default();
    #[expect(
        clippy::iter_over_hash_type,
        reason = "This is bad since we're storing in an ordered Vec, but modeling-cmds gives us an unordered HashMap, so we don't really have a choice. This function exists to work around that."
    )]
    for (region_id, original_id) in region_mapping {
        reverse.entry(*original_id).or_default().push(*region_id);
    }
    #[expect(
        clippy::iter_over_hash_type,
        reason = "This is safe since we're just sorting values."
    )]
    for values in reverse.values_mut() {
        values.sort_unstable();
    }
    let mut ordered = IndexMap::with_capacity(original_segments.len());
    for original_id in original_segments {
        let mut region_ids = Vec::new();
        reverse.entry(*original_id).and_modify(|entry_value| {
            region_ids = std::mem::take(entry_value);
        });
        if !region_ids.is_empty() {
            ordered.insert(*original_id, region_ids);
        }
    }
    ordered
}

fn region_from_point(
    point: KclValue,
    sketch: Option<KclValue>,
    args: &Args,
) -> Result<(SketchOrSegment, [TyF64; 2]), KclError> {
    match point {
        KclValue::HomArray { .. } | KclValue::Tuple { .. } => {
            let Some(pt) = <[TyF64; 2]>::from_kcl_val(&point) else {
                return Err(KclError::new_semantic(KclErrorDetails::new(
                    "Expected 2D point for point parameter".to_owned(),
                    vec![args.source_range],
                )));
            };

            let Some(sketch_value) = sketch else {
                return Err(KclError::new_semantic(KclErrorDetails::new(
                    "Sketch must be provided when point is a 2D point".to_owned(),
                    vec![args.source_range],
                )));
            };
            let sketch = match sketch_value {
                KclValue::Sketch { value } => *value,
                KclValue::Object { value, .. } => {
                    let Some(meta_value) = value.get(SKETCH_OBJECT_META) else {
                        return Err(KclError::new_semantic(KclErrorDetails::new(
                            "Expected sketch to be of type Sketch with a meta field. Sketch must not be empty to create a region.".to_owned(),
                            vec![args.source_range],
                        )));
                    };
                    let meta_map = match meta_value {
                        KclValue::Object { value, .. } => value,
                        _ => {
                            return Err(KclError::new_semantic(KclErrorDetails::new(
                                "Expected sketch to be of type Sketch with a meta field that's an object".to_owned(),
                                vec![args.source_range],
                            )));
                        }
                    };
                    let Some(sketch_value) = meta_map.get(SKETCH_OBJECT_META_SKETCH) else {
                        return Err(KclError::new_semantic(KclErrorDetails::new(
                            "Expected sketch meta to have a sketch field. Sketch must not be empty to create a region."
                                .to_owned(),
                            vec![args.source_range],
                        )));
                    };
                    let Some(sketch) = sketch_value.as_sketch() else {
                        return Err(KclError::new_semantic(KclErrorDetails::new(
                            "Expected sketch meta to have a sketch field of type Sketch. Sketch must not be empty to create a region.".to_owned(),
                            vec![args.source_range],
                        )));
                    };
                    sketch.clone()
                }
                _ => {
                    return Err(KclError::new_semantic(KclErrorDetails::new(
                        "Expected sketch to be of type Sketch".to_owned(),
                        vec![args.source_range],
                    )));
                }
            };

            Ok((SketchOrSegment::Sketch(sketch), pt))
        }
        KclValue::Segment { value } => match value.repr {
            crate::execution::SegmentRepr::Unsolved { .. } => Err(KclError::new_semantic(KclErrorDetails::new(
                "Segment provided to point parameter is unsolved; segments must be solved to be used as points"
                    .to_owned(),
                vec![args.source_range],
            ))),
            crate::execution::SegmentRepr::Solved { segment } => {
                let pt = match &segment.kind {
                    SegmentKind::Point { position, .. } => position.clone(),
                    _ => {
                        return Err(KclError::new_semantic(KclErrorDetails::new(
                            "Expected segment to be a point segment".to_owned(),
                            vec![args.source_range],
                        )));
                    }
                };

                Ok((SketchOrSegment::Segment(*segment), pt))
            }
        },
        _ => Err(KclError::new_semantic(KclErrorDetails::new(
            "Expected point to be either a 2D point like `[0, 0]` or a point segment created from `point()`".to_owned(),
            vec![args.source_range],
        ))),
    }
}
#[cfg(test)]
mod tests {

    use pretty_assertions::assert_eq;

    use crate::execution::TagIdentifier;
    use crate::std::sketch::PlaneData;
    use crate::std::utils::calculate_circle_center;

    #[test]
    fn test_deserialize_plane_data() {
        let data = PlaneData::XY;
        let mut str_json = serde_json::to_string(&data).unwrap();
        assert_eq!(str_json, "\"XY\"");

        str_json = "\"YZ\"".to_string();
        let data: PlaneData = serde_json::from_str(&str_json).unwrap();
        assert_eq!(data, PlaneData::YZ);

        str_json = "\"-YZ\"".to_string();
        let data: PlaneData = serde_json::from_str(&str_json).unwrap();
        assert_eq!(data, PlaneData::NegYZ);

        str_json = "\"-xz\"".to_string();
        let data: PlaneData = serde_json::from_str(&str_json).unwrap();
        assert_eq!(data, PlaneData::NegXZ);
    }

    #[test]
    fn test_deserialize_sketch_on_face_tag() {
        let data = "start";
        let mut str_json = serde_json::to_string(&data).unwrap();
        assert_eq!(str_json, "\"start\"");

        str_json = "\"end\"".to_string();
        let data: crate::std::sketch::FaceTag = serde_json::from_str(&str_json).unwrap();
        assert_eq!(
            data,
            crate::std::sketch::FaceTag::StartOrEnd(crate::std::sketch::StartOrEnd::End)
        );

        str_json = serde_json::to_string(&TagIdentifier {
            value: "thing".to_string(),
            info: Vec::new(),
            meta: Default::default(),
        })
        .unwrap();
        let data: crate::std::sketch::FaceTag = serde_json::from_str(&str_json).unwrap();
        assert_eq!(
            data,
            crate::std::sketch::FaceTag::Tag(Box::new(TagIdentifier {
                value: "thing".to_string(),
                info: Vec::new(),
                meta: Default::default()
            }))
        );

        str_json = "\"END\"".to_string();
        let data: crate::std::sketch::FaceTag = serde_json::from_str(&str_json).unwrap();
        assert_eq!(
            data,
            crate::std::sketch::FaceTag::StartOrEnd(crate::std::sketch::StartOrEnd::End)
        );

        str_json = "\"start\"".to_string();
        let data: crate::std::sketch::FaceTag = serde_json::from_str(&str_json).unwrap();
        assert_eq!(
            data,
            crate::std::sketch::FaceTag::StartOrEnd(crate::std::sketch::StartOrEnd::Start)
        );

        str_json = "\"START\"".to_string();
        let data: crate::std::sketch::FaceTag = serde_json::from_str(&str_json).unwrap();
        assert_eq!(
            data,
            crate::std::sketch::FaceTag::StartOrEnd(crate::std::sketch::StartOrEnd::Start)
        );
    }

    #[test]
    fn test_circle_center() {
        let actual = calculate_circle_center([0.0, 0.0], [5.0, 5.0], [10.0, 0.0]);
        assert_eq!(actual[0], 5.0);
        assert_eq!(actual[1], 0.0);
    }
}