kcl-lib 0.2.145

KittyCAD Language implementation and tools
Documentation
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/// Definitions of standard holes that could be drilled or cut into solids.

@settings(defaultLengthUnit = mm, kclVersion = 1.0)

// Tops


holeTypeSimple = 0
holeTypeCounterbore = 1
holeTypeCountersink = 2

/// A hole top with no decoration.
@(feature_tree = false)
export fn simple() {
  return { feature = holeTypeSimple }
}

/// Cut a straight vertical counterbore at the top of the hole.
/// Typically used when a fastener (e.g. the head cap on a screw)
/// needs to sit flush with the solid's surface.
/// ```kcl,legacySketch
/// // Model a cube
/// cubeLen = 20
/// bigCube = startSketchOn(XY)
///   |> startProfile(at = [-cubeLen / 2, -cubeLen / 2 + 10])
///   |> line(end = [cubeLen, 0], tag = $a)
///   |> line(end = [0, cubeLen], tag = $b)
///   |> line(end = [-cubeLen, 0], tag = $c)
///   |> line(end = [0, -cubeLen], tag = $d)
///   |> close()
///   |> extrude(length = cubeLen, symmetric = true)
///   |> translate(x = 5)
///
/// // Add a hole to the cube.
/// // It'll have a drilled end, and a counterbore (vertical hole that emerges from a larger hole)
/// bigCube
///   |> hole::hole(
///        face = a,
///        cutAt = [0, 5],
///        holeBottom = hole::drill(pointAngle = 110deg),
///        holeBody = hole::blind(depth = 5, diameter = 8),
///        holeType = hole::counterbore(diameter = 12, depth = 3.5),
///      )
/// ```
@(feature_tree = false)
export fn counterbore(diameter: number(Length), depth: number(Length)) {
  return {
    diameter = diameter,
    depth = depth,
    feature = holeTypeCounterbore
  }
}

/// Cut an angled countersink at the top of the hole.
/// Typically used when a conical screw head has to sit flush
/// with the surface being cut into.
/// ```kcl,legacySketch
/// // Model a cube
/// cubeLen = 20
/// bigCube = startSketchOn(XY)
///   |> startProfile(at = [-cubeLen / 2, -cubeLen / 2 + 10])
///   |> line(end = [cubeLen, 0], tag = $a)
///   |> line(end = [0, cubeLen], tag = $b)
///   |> line(end = [-cubeLen, 0], tag = $c)
///   |> line(end = [0, -cubeLen], tag = $d)
///   |> close()
///   |> extrude(length = cubeLen, symmetric = true)
///   |> translate(x = 5)
///
/// // Add a hole to the cube.
/// // It'll have a drilled end, and a countersink (angled tip at the start).
/// bigCube
///   |> hole::hole(
///        face = a,
///        cutAt = [0, 5],
///        holeBottom = hole::drill(pointAngle = 110deg),
///        holeBody = hole::blind(depth = 5, diameter = 8),
///        holeType = hole::countersink(diameter = 14, angle = 100deg),
///      )
/// ```
@(feature_tree = false)
export fn countersink(diameter: number(Length), angle: number(Angle)) {
  return {
    diameter = diameter,
    angle = angle,
    feature = holeTypeCountersink
  }
}

// Bodies


/// The hole has the given blind depth.
@(feature_tree = false)
export fn blind(depth: number(Length), diameter: number(Length)) {
  return {
    blindDepth = depth,
    diameter = diameter
  }
}

// Ends


/// End the hole in an angle, like the end of a drill.
/// ```kcl,legacySketch
/// // Sketch a cube, so we have something to drill into.
/// cubeLen = 20
/// bigCube = startSketchOn(XY)
///   |> startProfile(at = [-cubeLen / 2, -cubeLen / 2 + 10])
///   |> line(end = [cubeLen, 0], tag = $a)
///   |> line(end = [0, cubeLen], tag = $b)
///   |> line(end = [-cubeLen, 0], tag = $c)
///   |> line(end = [0, -cubeLen], tag = $d)
///   |> close()
///   |> extrude(length = cubeLen, symmetric = true)
/// 
/// // Add a hole with a very pointy drilled bottom.
/// bigCube
///   |> hole::hole(
///        face = a,
///        cutAt = [0, 0],
///        holeBottom = hole::drill(pointAngle = 25deg),
///        holeBody = hole::blind(depth = 1, diameter = 8),
///        holeType = hole::simple(),
///      )
/// ```
@(feature_tree = false)
export fn drill(pointAngle: number(Angle)) {
  return { drillBitAngle = pointAngle }
}

/// End the hole flat.
/// ```kcl,legacySketch
/// // Sketch a cube, so we have something to drill into.
/// cubeLen = 20
/// bigCube = startSketchOn(XY)
///   |> startProfile(at = [-cubeLen / 2, -cubeLen / 2 + 10])
///   |> line(end = [cubeLen, 0], tag = $a)
///   |> line(end = [0, cubeLen], tag = $b)
///   |> line(end = [-cubeLen, 0], tag = $c)
///   |> line(end = [0, -cubeLen], tag = $d)
///   |> close()
///   |> extrude(length = cubeLen, symmetric = true)
/// 
/// // Add a hole with a flat bottom.
/// bigCube
///   |> hole::hole(
///        face = a,
///        cutAt = [0, 0],
///        holeBottom = hole::flat(),
///        holeBody = hole::blind(depth = 2, diameter = 8),
///        holeType = hole::simple(),
///      )
/// ```
@(feature_tree = false)
export fn flat() {
  return { drillBitAngle = 180deg }
}

// Defining the hole


@(feature_tree = false)
fn drawTop(@partialHoleProfile, body, holeType) {
  prof = if holeType.feature == holeTypeSimple {
    partialHoleProfile
      |> xLine(length = body.diameter / 2)
  } else if holeType.feature == holeTypeCounterbore {
    lip = (holeType.diameter - body.diameter) / 2
    partialHoleProfile
      |> yLine(length = holeType.depth)
      |> xLine(length = holeType.diameter / 2)
      |> yLine(length = -holeType.depth)
      |> xLine(length = -lip)
  } else if holeType.feature == holeTypeCountersink {
    theta = holeType.angle / 2
    alpha = 90 - theta
    tr = holeType.diameter / 2
    br = body.diameter / 2
    assert(tr, isGreaterThan = br, error = "Diameter of the countersink must be greater than diameter of the hole's body")
    // Ugly trigonometry that I calculated with pen and paper
    up = (tr - br) / tan(theta)
    b = br / tan(theta)
    diag = up/cos(theta)
    partialHoleProfile
      |> yLine(length = up)
      |> xLine(length = tr)
      |> angledLine(length = diag, angle = 180 + alpha)
  } else {
    assert(holeType.feature, isLessThanOrEqual = holeTypeCountersink, error = "unknown holeType feature")
  }
  return prof
}

@(feature_tree = false)
fn holeTypeHeight(body, holeType) {
  height = if holeType.feature == holeTypeSimple {
    0
  } else if holeType.feature == holeTypeCounterbore {
    holeType.depth
  } else if holeType.feature == holeTypeCountersink {
    t = holeType.angle / 2
    tr = holeType.diameter / 2
    br = body.diameter / 2
    // Ugly trigonometry that I calculated with pen and paper
    up = (tr - br) / tan(t)
    up
  } else {
    assert(holeType.feature, isLessThanOrEqual = holeTypeCountersink, error = "unknown holeType feature")
  }
  return height
}

// Actually defining a hole


/// Profile for the end of the hole. Only really intended for advanced uses.
/// You can use this and `revolveHole` to do tricky custom hole cutting.
@(feature_tree = false)
fn sketchHoleProfile(@sketchOn, holeBottom, holeBody, holeType, shift) {
  body = holeBody
  bottom = holeBottom
  // Calculate the drill bit height
  radius = body.diameter / 2
  // if drill bit angle is exactly 180 degrees, it causes a divide by zero
  // (because tan(theta = 90) = 0).
  // So, if it would be 180deg, change it to be 179.99deg.
  theta = if abs(bottom.drillBitAngle - 180deg) < 0.01deg {
    179.99deg / 2
  } else {
    bottom.drillBitAngle / 2
  }
  drillHeight = radius / tan(theta)

  // Calculate total model height from holeType to bottom
  hBody = body.blindDepth
  hBott = drillHeight
  totalHeight = hBody + hBott + holeTypeHeight(body, holeType)
  sk = startProfile(sketchOn, at = [shift, -totalHeight])
    // Drill profile
    |> yLine(length = drillHeight)
    // Body depth
    |> yLine(length = body.blindDepth, tag = $d)
    // Top
    |> drawTop(body, holeType)
    // Body depth
    |> yLine(length = -body.blindDepth)
    // // Drill profile
    |> line(endAbsolute = [profileStartX(%), profileStartY(%)])
    |> close()
  return { profile = sk, axis = d }
}

/// Given a hole profile, revolve it into a 3D hole solid geometry.
/// This can be subtracted from a solid to form a hole in it.
@(feature_tree = false)
fn revolveHole(@holeProfile, edge) {
  return holeProfile
    |> revolve(axis = edge)
    |> appearance(color = "#ff0000")
}

/// Build a hole's geometry from its top, bottom and depth.
/// Can be subtracted from a solid to cut a hole into it.
@(feature_tree = false)
fn holeGeometry(@solid, face, holeBottom, holeBody, holeType, cutAt) {
  intoSolid = startSketchOn(
    solid,
    normalToFace = face,
    alignAxis = -Y,
    normalOffset = cutAt[1],
  )
  toCut = sketchHoleProfile(
    intoSolid,
    holeBottom,
    holeBody,
    holeType,
    shift = -cutAt[0],
  )

  drilled = revolveHole(toCut.profile, edge = toCut.axis)
  return drilled
}

/// From the hole's parts (bottom, middle, top), cut the hole into the given solid,
/// at the given 2D position on the given face.
/// ```kcl,legacySketch

/// // Model a cube
/// cubeLen = 20
/// bigCube = startSketchOn(XY)
///   |> startProfile(at = [-cubeLen / 2, -cubeLen / 2 + 10])
///   |> line(end = [cubeLen, 0], tag = $a)
///   |> line(end = [0, cubeLen], tag = $b)
///   |> line(end = [-cubeLen, 0], tag = $c)
///   |> line(end = [0, -cubeLen], tag = $d)
///   |> close()
///   |> extrude(length = cubeLen, symmetric = true)
///   |> translate(x = 5)
///
/// // Add a hole to the cube.
/// // It'll have a drilled end, and a countersink (angled tip at the start).
/// bigCube
///   |> hole::hole(
///        face = a,
///        cutAt = [0, 5],
///        holeBottom = hole::drill(pointAngle = 110deg),
///        holeBody = hole::blind(depth = 5, diameter = 8),
///        holeType = hole::countersink(diameter = 14, angle = 100deg),
///      )
/// ```
/// ```kcl,legacySketch

/// // Model a cube
/// cubeLen = 20
/// bigCube = startSketchOn(XY)
///   |> startProfile(at = [-cubeLen / 2, -cubeLen / 2 + 10])
///   |> line(end = [cubeLen, 0], tag = $a)
///   |> line(end = [0, cubeLen], tag = $b)
///   |> line(end = [-cubeLen, 0], tag = $c)
///   |> line(end = [0, -cubeLen], tag = $d)
///   |> close()
///   |> extrude(length = cubeLen, symmetric = true)
///   |> translate(x = 5)
///
/// // Add a hole to the cube.
/// // It'll have a drilled end, and a counterbore (vertical hole that emerges from a larger hole)
/// bigCube
///   |> hole::hole(
///        face = a,
///        cutAt = [0, 5],
///        holeBottom = hole::drill(pointAngle = 110deg),
///        holeBody = hole::blind(depth = 5, diameter = 8),
///        holeType = hole::counterbore(diameter = 12, depth = 3.5),
///      )
/// ```
/// ```kcl,sketchSolve
/// blockProfile = sketch(on = XY) {
///   edge1 = line(start = [var 0mm, var 0mm], end = [var 8mm, var 0mm])
///   edge2 = line(start = [var 8mm, var 0mm], end = [var 8mm, var 6mm])
///   edge3 = line(start = [var 8mm, var 6mm], end = [var 0mm, var 6mm])
///   edge4 = line(start = [var 0mm, var 6mm], end = [var 0mm, var 0mm])
///   coincident([edge1.end, edge2.start])
///   coincident([edge2.end, edge3.start])
///   coincident([edge3.end, edge4.start])
///   coincident([edge4.end, edge1.start])
///   horizontal(edge1)
///   vertical(edge2)
///   horizontal(edge3)
///   vertical(edge4)
/// }
///
/// block = extrude(region(point = [4mm, 3mm], sketch = blockProfile), length = 6mm, tagEnd = $top)
/// drilledBlock = hole::hole(
///   block,
///   face = top,
///   cutAt = [4mm, 3mm],
///   holeBottom = hole::flat(),
///   holeBody = hole::blind(depth = 4mm, diameter = 2mm),
///   holeType = hole::simple(),
/// )
/// ```
@(feature_tree = true)
export fn hole(
  /// Which solid to add a hole to.
  @solid: Solid,
  /// Which face of the solid to add the hole to.
  /// Controls the orientation of the hole.
  face: TaggedFace,
  /// Define bottom feature of the hole. E.g. drilled or flat.
  holeBottom,
  /// Define the main length of the hole. E.g. a blind distance.
  holeBody,
  /// Define the top feature of the hole. E.g. countersink, counterbore, simple.
  holeType,
  /// Where to place the cut on the given face of the solid.
  /// Given as absolute coordinates in the global scene.
  cutAt: [number(Length); 2],
) {
  drilled = holeGeometry(solid, face, holeBottom, holeBody, holeType, cutAt)
  return subtract(solid, tools = [drilled])
}

/// From the hole's parts (bottom, middle, top), cut the hole into the given solid,
/// at each of the given 2D positions on the given face.
/// Basically like function `hole` but it takes multiple 2D positions in `cutsAt`.
/// ```kcl,legacySketch
/// // Sketch a solid
/// sketch001 = startSketchOn(XY)
/// profile001 = startProfile(sketch001, at = [-3.89, 1.95])
///   |> line(end = [0.63, -3.25])
///   |> xLine(length = 7.15)
///   |> line(end = [0.59, 3.2])
///   |> line(endAbsolute = [profileStartX(%), profileStartY(%)])
///   |> close()
/// mySolid = extrude(profile001, length = 3, symmetric = true)
/// 
/// // Add three holes to it.
/// hole001 = hole::holes(
///   mySolid,
///   face = END,
///   cutsAt = [[0, 0], [0, 3], [1, 2]],
///   holeBottom = hole::drill(pointAngle = 110deg),
///   holeBody = hole::blind(depth = 2, diameter = 0.4),
///   holeType = hole::counterbore(diameter = 1, depth = 0.2),
/// )
/// ```
/// ```kcl,sketchSolve
/// blockProfile = sketch(on = XY) {
///   edge1 = line(start = [var 0mm, var 0mm], end = [var 10mm, var 0mm])
///   edge2 = line(start = [var 10mm, var 0mm], end = [var 10mm, var 6mm])
///   edge3 = line(start = [var 10mm, var 6mm], end = [var 0mm, var 6mm])
///   edge4 = line(start = [var 0mm, var 6mm], end = [var 0mm, var 0mm])
///   coincident([edge1.end, edge2.start])
///   coincident([edge2.end, edge3.start])
///   coincident([edge3.end, edge4.start])
///   coincident([edge4.end, edge1.start])
///   horizontal(edge1)
///   vertical(edge2)
///   horizontal(edge3)
///   vertical(edge4)
/// }
///
/// block = extrude(region(point = [5mm, 3mm], sketch = blockProfile), length = 6mm, tagEnd = $top)
/// drilledBlock = hole::holes(
///   block,
///   face = top,
///   cutsAt = [[2mm, 2mm], [5mm, 3mm], [8mm, 4mm]],
///   holeBottom = hole::drill(pointAngle = 90deg),
///   holeBody = hole::blind(depth = 3mm, diameter = 1.5mm),
///   holeType = hole::simple(),
/// )
/// ```
@(feature_tree = true)
export fn holes(
  /// Which solid to add a hole to.
  @solid: Solid,
  /// Which face of the solid to add the hole to.
  /// Controls the orientation of the hole.
  face: TaggedFace,
  /// Define bottom feature of the hole. E.g. drilled or flat.
  holeBottom,
  /// Define the main length of the hole. E.g. a blind distance.
  holeBody,
  /// Define the top feature of the hole. E.g. countersink, counterbore, simple.
  holeType,
  /// Where to place the holes, given as absolute coordinates in the global scene.
  cutsAt: [[number(Length); 2]],
) {
  drilled = map(cutsAt, f = fn(@cutAt) {
    return holeGeometry(solid, face, holeBottom, holeBody, holeType, cutAt)
  })
  return subtract(solid, tools = drilled)
}

/// Place the given holes in a line.
/// Basically like function `hole` but cuts multiple holes in a line.
/// Works like linear patterns.
@(feature_tree = false)
export fn holesLinear(
  /// Which solid to add a hole to.
  @solid: Solid,
  /// Which face of the solid to add the hole to.
  /// Controls the orientation of the hole.
  face: TaggedFace,
  /// Define bottom feature of the hole. E.g. drilled or flat.
  holeBottom,
  /// Define the main length of the hole. E.g. a blind distance.
  holeBody,
  /// Define the top feature of the hole. E.g. countersink, counterbore, simple.
  holeType,
  /// Where to place the first cut in the linear pattern,
  /// given as absolute coordinates in the global scene.
  cutAt: [number(Length); 2],
  /// How many holes to cut.
  instances: number(_),
  /// How far between each hole
  distance,
  /// Along which axis should the holes be cut?
  axis: Axis2d | Point2d,
) {
  drilled = holeGeometry(solid, face, holeBottom, holeBody, holeType, cutAt)
  |> patternLinear3d(instances, distance, axis)

  return subtract(solid, tools = drilled)
}

/// Build the 3D shape of the hole which needs to be cut out.
fn holeAtGeometry(@plane: Plane, holeBottom, holeBody, holeType) {
  // Create a sketch plane where the cut axis (plane normal) is the sketch plane's -Y axis.
  xAxis = [
    plane.xAxis[0]: mm,
    plane.xAxis[1]: mm,
    plane.xAxis[2]: mm
  ]
  yAxis = [
    plane.yAxis[0]: mm,
    plane.yAxis[1]: mm,
    plane.yAxis[2]: mm
  ]
  profilePlane = {
    origin = plane.origin,
    xAxis = xAxis,
    yAxis = vector::cross(yAxis, v = xAxis)
  }
  profile = sketchHoleProfile(
    startSketchOn(profilePlane),
    holeBottom,
    holeBody,
    holeType,
    shift = 0,
  )
  return revolveHole(profile.profile, edge = profile.axis)
}

/// From the hole's parts (bottom, middle, top), cut the hole into the given solid,
/// using the custom plane.
/// The plane's origin determines the hole's center.
/// The plane's X and Y axis determine which way the hole is pointing
/// (it points down the normal i.e. Z axis, following the right-hand rule).
/// This can be used to insert a hole where there is no face, or into a non-planar face.
/// ```kcl,legacySketch
/// // Model a cube.
/// cube1 = startSketchOn(XY)
///   |> rectangle(width = 3, height = 3, center = [0, 0])
///   |> extrude(length = 3)
///
/// // Define a custom plane, into which a hole will be cut.
/// customPlane = {
///   origin = { x = 1.5, y = -1.5, z = 3 },
///   xAxis = { x = -0.5, y = -0.5, z = 0 },
///   yAxis = { x = 0, y = 0.5, z = 0.5 }
/// }
///
/// // Cut the hole through the cube, into the plane.
/// hole::holeAt(
///   [cube1],
///   plane = customPlane,
///   holeBottom = hole::flat(),
///   holeBody = hole::blind(depth = 2, diameter = 1),
///   holeType = hole::counterbore(diameter = 1.4, depth = 1),
/// )
/// ```
/// ```kcl,sketchSolve
/// // Model a cube.
/// cubeProfile = sketch(on = XY) {
///   line1 = line(start = [var -1.5mm, var -1.5mm], end = [var 1.5mm, var -1.5mm])
///   line2 = line(start = [var 1.5mm, var -1.5mm], end = [var 1.5mm, var 1.5mm])
///   line3 = line(start = [var 1.5mm, var 1.5mm], end = [var -1.5mm, var 1.5mm])
///   line4 = line(start = [var -1.5mm, var 1.5mm], end = [var -1.5mm, var -1.5mm])
///   coincident([line1.end, line2.start])
///   coincident([line2.end, line3.start])
///   coincident([line3.end, line4.start])
///   coincident([line4.end, line1.start])
///   parallel([line2, line4])
///   parallel([line3, line1])
///   perpendicular([line1, line2])
///   horizontal(line3)
///   equalLength([line2, line3])
///   distance([line2.start, line2.end]) == 3mm
/// }
/// 
/// cube1 = extrude(region(point = [0mm, 0mm], sketch = cubeProfile), length = 3mm)
///
/// // Define a custom plane, into which a hole will be cut.
/// customPlane = {
///   origin = { x = 1.5, y = -1.5, z = 3 },
///   xAxis = { x = -0.5, y = -0.5, z = 0 },
///   yAxis = { x = 0, y = 0.5, z = 0.5 }
/// }
///
/// // Cut the hole through the cube, into the plane.
/// hole::holeAt(
///   [cube1],
///   plane = customPlane,
///   holeBottom = hole::flat(),
///   holeBody = hole::blind(depth = 2, diameter = 1),
///   holeType = hole::counterbore(diameter = 1.4, depth = 1),
/// )
/// ```
@(feature_tree = false)
export fn holeAt(
  /// Which solid to add a hole to.
  @solids: [Solid; 1+],
  /// The plane's origin determines the hole's center.
  /// The plane's X and Y axis determine which way the hole is pointing
  /// (it points down the normal i.e. Z axis, following the right-hand rule).
  plane: Plane,
  /// Define bottom feature of the hole. E.g. drilled or flat.
  holeBottom,
  /// Define the main length of the hole. E.g. a blind distance.
  holeBody,
  /// Define the top feature of the hole. E.g. countersink, counterbore, simple.
  holeType,
) {
  return subtract(
    solids,
    tools = holeAtGeometry(
      plane,
      holeBottom,
      holeBody,
      holeType,
    ),
  )
}