#7255 tangentialArc: angle, radius point-and-click support (#7449)

* separate handling of tangentialArc with angle and radius args

* make previousEndTangent available in segment input for handling tangentialArc with angle/radius

* start adding support for editing tangentialArc with angle, radius

* draw tangentialArc sketch when using angle, radius

* fix getTanPreviousPoint when using tangentialArc with angle, radius

* fix case of unwanted negative angles when calculating angle for tangentialArc

* lint

* add test for tangentialArc dragging with andle, radius

* lint, fmt

* fix getArgForEnd for tangentialArc with radius, angle

* renaming vars

e2e/playwright/sketch-tests.spec.ts

@@ -1445,6 +1445,48 @@ solid001 = subtract([extrude001], tools = [extrude002])
     await u.closeDebugPanel()
   })
 
+  test('Can edit a tangentialArc defined by angle and radius', async ({
+    page,
+    homePage,
+    editor,
+    toolbar,
+    scene,
+    cmdBar,
+  }) => {
+    const viewportSize = { width: 1500, height: 750 }
+    await page.setBodyDimensions(viewportSize)
+
+    await page.addInitScript(async () => {
+      localStorage.setItem(
+        'persistCode',
+        `@settings(defaultLengthUnit=in)
+sketch001 = startSketchOn(XZ)
+  |> startProfile(at = [-10, -10])
+  |> line(end = [20.0, 10.0])
+  |> tangentialArc(angle = 60deg, radius=10.0)`
+      )
+    })
+
+    await homePage.goToModelingScene()
+    await toolbar.waitForFeatureTreeToBeBuilt()
+    await scene.settled(cmdBar)
+
+    await (await toolbar.getFeatureTreeOperation('Sketch', 0)).dblclick()
+
+    await page.waitForTimeout(1000)
+
+    await page.mouse.move(1200, 139)
+    await page.mouse.down()
+    await page.mouse.move(870, 250)
+
+    await page.waitForTimeout(200)
+
+    await editor.expectEditor.toContain(
+      `tangentialArc(angle = 234.01deg, radius = 4.08)`,
+      { shouldNormalise: true }
+    )
+  })
+
   test('Can delete a single segment line with keyboard', async ({
     page,
     scene,

src/clientSideScene/sceneEntities.ts

@@ -165,7 +165,12 @@ import type { Themes } from '@src/lib/theme'
 import { getThemeColorForThreeJs } from '@src/lib/theme'
 import { err, reportRejection, trap } from '@src/lib/trap'
 import { isArray, isOverlap, roundOff } from '@src/lib/utils'
-import { closestPointOnRay, deg2Rad } from '@src/lib/utils2d'
+import {
+  closestPointOnRay,
+  deg2Rad,
+  normalizeVec,
+  subVec,
+} from '@src/lib/utils2d'
 import type {
   SegmentOverlayPayload,
   SketchDetails,
@@ -798,7 +803,7 @@ export class SceneEntities {
         const callExpName = _node1.node?.callee?.name.name
 
         const initSegment =
-          segment.type === 'TangentialArcTo'
+          segment.type === 'TangentialArcTo' || segment.type === 'TangentialArc'
             ? segmentUtils.tangentialArc.init
             : segment.type === 'Circle'
               ? segmentUtils.circle.init
@@ -3023,11 +3028,20 @@ export class SceneEntities {
         return input
       }
 
-      // straight segment is the default
+      // straight segment is the default,
+      // this includes "tangential-arc-to-segment"
+
+      const segments: SafeArray<Group> = Object.values(this.activeSegments) // Using the order in the object feels wrong
+      const currentIndex = segments.indexOf(group)
+      const previousSegment = segments[currentIndex - 1]
+
       return {
         type: 'straight-segment',
         from,
         to: dragTo,
+        previousEndTangent: previousSegment
+          ? findTangentDirection(previousSegment)
+          : undefined,
       }
     }
 
@@ -3953,6 +3967,11 @@ function findTangentDirection(segmentGroup: Group) {
       ) +
       (Math.PI / 2) * (segmentGroup.userData.ccw ? 1 : -1)
     tangentDirection = [Math.cos(tangentAngle), Math.sin(tangentAngle)]
+  } else if (segmentGroup.userData.type === STRAIGHT_SEGMENT) {
+    const to = segmentGroup.userData.to as Coords2d
+    const from = segmentGroup.userData.from as Coords2d
+    tangentDirection = subVec(to, from)
+    tangentDirection = normalizeVec(tangentDirection)
   } else {
     console.warn(
       'Unsupported segment type for tangent direction calculation: ',

src/clientSideScene/segments.ts

@@ -550,7 +550,10 @@ class TangentialArcToSegment implements SegmentUtils {
 
 export function getTanPreviousPoint(prevSegment: Sketch['paths'][number]) {
   let previousPoint = prevSegment.from
-  if (prevSegment.type === 'TangentialArcTo') {
+  if (
+    prevSegment.type === 'TangentialArcTo' ||
+    prevSegment.type === 'TangentialArc'
+  ) {
     previousPoint = getTangentPointFromPreviousArc(
       prevSegment.center,
       prevSegment.ccw,

src/lang/std/sketch.ts

@@ -1,4 +1,7 @@
-import { perpendicularDistance } from 'sketch-helpers'
+import {
+  calculateIntersectionOfTwoLines,
+  perpendicularDistance,
+} from 'sketch-helpers'
 
 import type { Node } from '@rust/kcl-lib/bindings/Node'
 
@@ -28,6 +31,7 @@ import {
   createCallExpressionStdLibKw,
   createLabeledArg,
   createLiteral,
+  createLiteralMaybeSuffix,
   createLocalName,
   createPipeExpression,
   createTagDeclarator,
@@ -83,8 +87,15 @@ import type {
 } from '@src/lang/wasm'
 import { sketchFromKclValue } from '@src/lang/wasm'
 import { err } from '@src/lib/trap'
-import { allLabels, getAngle, getLength, roundOff } from '@src/lib/utils'
+import {
+  allLabels,
+  areArraysEqual,
+  getAngle,
+  getLength,
+  roundOff,
+} from '@src/lib/utils'
 import type { EdgeCutInfo } from '@src/machines/modelingMachine'
+import { cross2d, distance2d, isValidNumber, subVec } from '@src/lib/utils2d'
 
 const STRAIGHT_SEGMENT_ERR = () =>
   new Error('Invalid input, expected "straight-segment"')
@@ -3976,7 +3987,14 @@ export function getArgForEnd(lineCall: CallExpressionKw):
     case 'line': {
       const arg = findKwArgAny(DETERMINING_ARGS, lineCall)
       if (arg === undefined) {
-        return new Error("no end of the line was found in fn '" + name + "'")
+        const angle = findKwArg(ARG_ANGLE, lineCall)
+        const radius = findKwArg(ARG_RADIUS, lineCall)
+        if (name === 'tangentialArc' && angle && radius) {
+          // tangentialArc may use angle and radius instead of end
+          return { val: [angle, radius], tag: findKwArg(ARG_TAG, lineCall) }
+        } else {
+          return new Error("no end of the line was found in fn '" + name + "'")
+        }
       }
       return getValuesForXYFns(arg)
     }
@@ -4145,27 +4163,101 @@ const tangentialArcHelpers = {
       )
     }
 
-    const argLabel = isAbsolute ? ARG_END_ABSOLUTE : ARG_END
+    // All function arguments, except the tag
-    const functionName = isAbsolute ? 'tangentialArcTo' : 'tangentialArc'
+    const functionArguments = callExpression.arguments
+      .map((arg) => arg.label?.name)
+      .filter((n) => n && n !== ARG_TAG)
 
-    for (const arg of callExpression.arguments) {
+    if (areArraysEqual(functionArguments, [ARG_ANGLE, ARG_RADIUS])) {
-      if (arg.label?.name !== argLabel && arg.label?.name !== ARG_TAG) {
+      // Using length and radius -> convert "from", "to" to the matching length and radius
+      const previousEndTangent = input.previousEndTangent
+      if (previousEndTangent) {
+        // Find a circle with these two lines:
+        // - We know "from" and "to" are on the circle, so we can use their perpendicular bisector as the first line
+        // - The second line goes from "from" to the tangentRotated direction
+        // Intersecting these two lines will give us the center of the circle.
+
+        // line 1
+        const midPoint: [number, number] = [
+          (from[0] + to[0]) / 2,
+          (from[1] + to[1]) / 2,
+        ]
+        const dir = subVec(to, from)
+        const perpDir = [-dir[1], dir[0]]
+        const line1PointB: Coords2d = [
+          midPoint[0] + perpDir[0],
+          midPoint[1] + perpDir[1],
+        ]
+
+        // line 2
+        const tangentRotated: Coords2d = [
+          -previousEndTangent[1],
+          previousEndTangent[0],
+        ]
+
+        const center = calculateIntersectionOfTwoLines({
+          line1: [midPoint, line1PointB],
+          line2Point: from,
+          line2Angle: getAngle([0, 0], tangentRotated),
+        })
+        if (isValidNumber(center[0]) && isValidNumber(center[1])) {
+          // We have the circle center, calculate the angle by calculating the angle for "from" and "to" points
+          // These are in the range of [-180, 180] degrees
+          const angleFrom = getAngle(center, from)
+          const angleTo = getAngle(center, to)
+          let angle = angleTo - angleFrom
+
+          // Handle the cases where the angle would have an undesired sign.
+          // If the circle is CCW we want the angle to be always positive, otherwise negative.
+          // eg. CCW: angleFrom is -90 and angleTo is -175 -> would be -85, but we want it to be 275
+          const isCCW = cross2d(previousEndTangent, dir) > 0
+          if (isCCW) {
+            angle = (angle + 360) % 360 // Ensure angle is positive
+          } else {
+            angle = (angle - 360) % 360 // Ensure angle is negative
+          }
+
+          const radius = distance2d(center, from)
+
+          mutateKwArg(
+            ARG_RADIUS,
+            callExpression,
+            createLiteral(roundOff(radius, 2))
+          )
+          const angleValue = createLiteralMaybeSuffix({
+            value: roundOff(angle, 2),
+            suffix: 'Deg',
+          })
+          if (!err(angleValue)) {
+            mutateKwArg(ARG_ANGLE, callExpression, angleValue)
+          }
+        } else {
+          console.debug('Invalid center calculated for tangential arc')
+        }
+      } else {
+        console.debug('No previous end tangent found, cannot calculate radius')
+      }
+    } else {
+      const argLabel = isAbsolute ? ARG_END_ABSOLUTE : ARG_END
+      if (areArraysEqual(functionArguments, [argLabel])) {
+        // Using end or endAbsolute
+        const toArrExp = createArrayExpression([
+          createLiteral(roundOff(isAbsolute ? to[0] : to[0] - from[0], 2)),
+          createLiteral(roundOff(isAbsolute ? to[1] : to[1] - from[1], 2)),
+        ])
+
+        mutateKwArg(argLabel, callExpression, toArrExp)
+      } else {
+        // Unsupported arguments
+        const functionName =
+          callExpression.callee.name.name ??
+          (isAbsolute ? 'tangentialArcTo' : 'tangentialArc')
         console.debug(
           `Trying to edit unsupported ${functionName} keyword arguments; skipping`
         )
-        return {
-          modifiedAst: _node,
-          pathToNode,
-        }
       }
     }
 
-    const toArrExp = createArrayExpression([
-      createLiteral(roundOff(isAbsolute ? to[0] : to[0] - from[0], 2)),
-      createLiteral(roundOff(isAbsolute ? to[1] : to[1] - from[1], 2)),
-    ])
-
-    mutateKwArg(argLabel, callExpression, toArrExp)
     return {
       modifiedAst: _node,
       pathToNode,

src/lang/std/stdTypes.ts

@@ -23,6 +23,7 @@ import type {
   SourceRange,
   VariableMap,
 } from '@src/lang/wasm'
+import type { Coords2d } from '@src/lang/std/sketch'
 
 export interface ModifyAstBase {
   node: Node<Program>
@@ -46,6 +47,7 @@ interface StraightSegmentInput {
   from: [number, number]
   to: [number, number]
   snap?: boolean
+  previousEndTangent?: Coords2d
 }
 
 /** Inputs for arcs, excluding tangentialArc for reasons explain in the

src/lib/utils.ts

@@ -55,6 +55,12 @@ export function isArray(val: any): val is unknown[] {
   return Array.isArray(val)
 }
 
+export function areArraysEqual<T>(a: T[], b: T[]): boolean {
+  if (a.length !== b.length) return false
+  const set1 = new Set(a)
+  return b.every((element) => set1.has(element))
+}
+
 export type SafeArray<T> = Omit<Array<T>, number> & {
   [index: number]: T | undefined
 }

src/lib/utils2d.ts

@@ -18,24 +18,46 @@ export function getTangentPointFromPreviousArc(
   ]
 }
 
+export function subVec(a: Coords2d, b: Coords2d): Coords2d {
+  return [a[0] - b[0], a[1] - b[1]]
+}
+
+export function normalizeVec(v: Coords2d): Coords2d {
+  const magnitude = Math.sqrt(v[0] * v[0] + v[1] * v[1])
+  if (magnitude === 0) {
+    return [0, 0]
+  }
+  return [v[0] / magnitude, v[1] / magnitude]
+}
+
+export function cross2d(a: Coords2d, b: Coords2d): number {
+  return a[0] * b[1] - a[1] * b[0]
+}
+
+export function distance2d(a: Coords2d, b: Coords2d): number {
+  const dx = a[0] - b[0]
+  const dy = a[1] - b[1]
+  return Math.sqrt(dx * dx + dy * dy)
+}
+
+export function isValidNumber(value: number): boolean {
+  return typeof value === 'number' && !Number.isNaN(value) && isFinite(value)
+}
+
+export function rotateVec(v: Coords2d, rad: number): Coords2d {
+  const cos = Math.cos(rad)
+  const sin = Math.sin(rad)
+  return [v[0] * cos - v[1] * sin, v[0] * sin + v[1] * cos]
+}
+
 export function closestPointOnRay(
   rayOrigin: Coords2d,
   rayDirection: Coords2d,
   pointToCheck: Coords2d,
   allowNegative = false
 ) {
-  const dirMagnitude = Math.sqrt(
+  const normalizedDir = normalizeVec(rayDirection)
-    rayDirection[0] * rayDirection[0] + rayDirection[1] * rayDirection[1]
+  const originToPoint = subVec(pointToCheck, rayOrigin)
-  )
-  const normalizedDir: Coords2d = [
-    rayDirection[0] / dirMagnitude,
-    rayDirection[1] / dirMagnitude,
-  ]
-
-  const originToPoint: Coords2d = [
-    pointToCheck[0] - rayOrigin[0],
-    pointToCheck[1] - rayOrigin[1],
-  ]
 
   let t =
     originToPoint[0] * normalizedDir[0] + originToPoint[1] * normalizedDir[1]