fabric/dist/src/util/misc/projectStroke/StrokeLineJoinProjections.mjs.map

Object model for HTML5 canvas, and SVG-to-canvas parser. Backed by jsdom and node-canvas.

{"version":3,"file":"StrokeLineJoinProjections.mjs","sources":["../../../../../src/util/misc/projectStroke/StrokeLineJoinProjections.ts"],"sourcesContent":["import type { XY } from '../../../Point';\nimport { Point } from '../../../Point';\nimport { halfPI, twoMathPi } from '../../../constants';\nimport type { TRadian } from '../../../typedefs';\nimport { degreesToRadians } from '../radiansDegreesConversion';\nimport {\n  calcAngleBetweenVectors,\n  calcVectorRotation,\n  crossProduct,\n  getOrthonormalVector,\n  getUnitVector,\n  isBetweenVectors,\n  magnitude,\n  rotateVector,\n} from '../vectors';\nimport { StrokeProjectionsBase } from './StrokeProjectionsBase';\nimport type { TProjection, TProjectStrokeOnPointsOptions } from './types';\n\nconst zeroVector = new Point();\n\n/**\n * class in charge of finding projections for each type of line join\n * @see {@link [Closed path projections at #8344](https://github.com/fabricjs/fabric.js/pull/8344#2-closed-path)}\n *\n * - MDN:\n *   - https://developer.mozilla.org/en-US/docs/Web/API/CanvasRenderingContext2D/lineJoin\n *   - https://developer.mozilla.org/en-US/docs/Web/SVG/Attribute/stroke-linejoin\n * - Spec: https://svgwg.org/svg2-draft/painting.html#StrokeLinejoinProperty\n * - Playground to understand how the line joins works: https://hypertolosana.github.io/efficient-webgl-stroking/index.html\n * - View the calculated projections for each of the control points: https://codesandbox.io/s/project-stroke-points-with-context-to-trace-b8jc4j?file=/src/index.js\n *\n */\nexport class StrokeLineJoinProjections extends StrokeProjectionsBase {\n  /**\n   * The point being projected (the angle ∠BAC)\n   */\n  declare A: Point;\n  /**\n   * The point before A\n   */\n  declare B: Point;\n  /**\n   * The point after A\n   */\n  declare C: Point;\n  /**\n   * The AB vector\n   */\n  AB: Point;\n  /**\n   * The AC vector\n   */\n  AC: Point;\n  /**\n   * The angle of A (∠BAC)\n   */\n  alpha: TRadian;\n  /**\n   * The bisector of A (∠BAC)\n   */\n  bisector: Point;\n\n  static getOrthogonalRotationFactor(vector1: Point, vector2?: Point) {\n    const angle = vector2\n      ? calcAngleBetweenVectors(vector1, vector2)\n      : calcVectorRotation(vector1);\n    return Math.abs(angle) < halfPI ? -1 : 1;\n  }\n\n  constructor(A: XY, B: XY, C: XY, options: TProjectStrokeOnPointsOptions) {\n    super(options);\n    this.A = new Point(A);\n    this.B = new Point(B);\n    this.C = new Point(C);\n    this.AB = this.createSideVector(this.A, this.B);\n    this.AC = this.createSideVector(this.A, this.C);\n    this.alpha = calcAngleBetweenVectors(this.AB, this.AC);\n    this.bisector = getUnitVector(\n      // if AC is also the zero vector nothing will be projected\n      // in that case the next point will handle the projection\n      rotateVector(this.AB.eq(zeroVector) ? this.AC : this.AB, this.alpha / 2),\n    );\n  }\n\n  calcOrthogonalProjection(\n    from: Point,\n    to: Point,\n    magnitude: number = this.strokeProjectionMagnitude,\n  ) {\n    const vector = this.createSideVector(from, to);\n    const orthogonalProjection = getOrthonormalVector(vector);\n    const correctSide = StrokeLineJoinProjections.getOrthogonalRotationFactor(\n      orthogonalProjection,\n      this.bisector,\n    );\n    return this.scaleUnitVector(orthogonalProjection, magnitude * correctSide);\n  }\n\n  /**\n   * BEVEL\n   * Calculation: the projection points are formed by the vector orthogonal to the vertex.\n   *\n   * @see https://github.com/fabricjs/fabric.js/pull/8344#2-2-bevel\n   */\n  projectBevel() {\n    const projections: Point[] = [];\n    // if `alpha` equals 0 or 2*PI, the projections are the same for `B` and `C`\n    (this.alpha % twoMathPi === 0 ? [this.B] : [this.B, this.C]).forEach(\n      (to) => {\n        projections.push(this.projectOrthogonally(this.A, to));\n        projections.push(\n          this.projectOrthogonally(this.A, to, -this.strokeProjectionMagnitude),\n        );\n      },\n    );\n    return projections;\n  }\n\n  /**\n   * MITER\n   * Calculation: the corner is formed by extending the outer edges of the stroke\n   * at the tangents of the path segments until they intersect.\n   *\n   * @see https://github.com/fabricjs/fabric.js/pull/8344#2-1-miter\n   */\n  projectMiter() {\n    const projections: Point[] = [],\n      alpha = Math.abs(this.alpha),\n      hypotUnitScalar = 1 / Math.sin(alpha / 2),\n      miterVector = this.scaleUnitVector(\n        this.bisector,\n        -this.strokeProjectionMagnitude * hypotUnitScalar,\n      );\n\n    // When two line segments meet at a sharp angle, it is possible for the join to extend,\n    // far beyond the thickness of the line stroking the path. The stroke-miterlimit imposes\n    // a limit on the extent of the line join.\n    // MDN: https://developer.mozilla.org/en-US/docs/Web/SVG/Attribute/stroke-miterlimit\n    // When the stroke is uniform, scaling changes the arrangement of points, this changes the miter-limit\n    const strokeMiterLimit = this.options.strokeUniform\n      ? magnitude(\n          this.scaleUnitVector(this.bisector, this.options.strokeMiterLimit),\n        )\n      : this.options.strokeMiterLimit;\n\n    if (\n      magnitude(miterVector) / this.strokeProjectionMagnitude <=\n      strokeMiterLimit\n    ) {\n      projections.push(this.applySkew(this.A.add(miterVector)));\n    }\n    /* when the miter-limit is reached, the stroke line join becomes of type bevel.\n      We always need two orthogonal projections which are basically bevel-type projections,\n      so regardless of whether the miter-limit was reached or not, we include these projections.\n    */\n    projections.push(...this.projectBevel());\n\n    return projections;\n  }\n\n  /**\n   * ROUND (without skew)\n   * Calculation: the projections are the two vectors parallel to X and Y axes\n   *\n   * @see https://github.com/fabricjs/fabric.js/pull/8344#2-3-1-round-without-skew\n   */\n  private projectRoundNoSkew(startCircle: Point, endCircle: Point) {\n    const projections: Point[] = [],\n      // correctSide is used to only consider projecting for the outer side\n      correctSide = new Point(\n        StrokeLineJoinProjections.getOrthogonalRotationFactor(this.bisector),\n        StrokeLineJoinProjections.getOrthogonalRotationFactor(\n          new Point(this.bisector.y, this.bisector.x),\n        ),\n      ),\n      radiusOnAxisX = new Point(1, 0)\n        .scalarMultiply(this.strokeProjectionMagnitude)\n        .multiply(this.strokeUniformScalar)\n        .multiply(correctSide),\n      radiusOnAxisY = new Point(0, 1)\n        .scalarMultiply(this.strokeProjectionMagnitude)\n        .multiply(this.strokeUniformScalar)\n        .multiply(correctSide);\n\n    [radiusOnAxisX, radiusOnAxisY].forEach((vector) => {\n      if (isBetweenVectors(vector, startCircle, endCircle)) {\n        projections.push(this.A.add(vector));\n      }\n    });\n    return projections;\n  }\n\n  /**\n   * ROUND (with skew)\n   * Calculation: the projections are the points furthest from the vertex in\n   * the direction of the X and Y axes after distortion.\n   *\n   * @see https://github.com/fabricjs/fabric.js/pull/8344#2-3-2-round-skew\n   */\n  private projectRoundWithSkew(startCircle: Point, endCircle: Point) {\n    const projections: Point[] = [];\n\n    const { skewX, skewY, scaleX, scaleY, strokeUniform } = this.options,\n      shearing = new Point(\n        Math.tan(degreesToRadians(skewX)),\n        Math.tan(degreesToRadians(skewY)),\n      );\n    // The points furthest from the vertex in the direction of the X and Y axes after distortion\n    const circleRadius = this.strokeProjectionMagnitude,\n      newY = strokeUniform\n        ? circleRadius /\n          scaleY /\n          Math.sqrt(1 / scaleY ** 2 + (1 / scaleX ** 2) * shearing.y ** 2)\n        : circleRadius / Math.sqrt(1 + shearing.y ** 2),\n      furthestY = new Point(\n        // Safe guard due to floating point precision. In some situations the square root\n        // was returning NaN because of a negative number close to zero.\n        Math.sqrt(Math.max(circleRadius ** 2 - newY ** 2, 0)),\n        newY,\n      ),\n      newX = strokeUniform\n        ? circleRadius /\n          Math.sqrt(\n            1 +\n              (shearing.x ** 2 * (1 / scaleY) ** 2) /\n                (1 / scaleX + (1 / scaleX) * shearing.x * shearing.y) ** 2,\n          )\n        : circleRadius /\n          Math.sqrt(1 + shearing.x ** 2 / (1 + shearing.x * shearing.y) ** 2),\n      furthestX = new Point(\n        newX,\n        Math.sqrt(Math.max(circleRadius ** 2 - newX ** 2, 0)),\n      );\n\n    [\n      furthestX,\n      furthestX.scalarMultiply(-1),\n      furthestY,\n      furthestY.scalarMultiply(-1),\n    ]\n      // We need to skew the vector here as this information is used to check if\n      // it is between the start and end of the circle segment\n      .map((vector) =>\n        this.applySkew(\n          strokeUniform ? vector.multiply(this.strokeUniformScalar) : vector,\n        ),\n      )\n      .forEach((vector) => {\n        if (isBetweenVectors(vector, startCircle, endCircle)) {\n          projections.push(this.applySkew(this.A).add(vector));\n        }\n      });\n\n    return projections;\n  }\n\n  projectRound() {\n    const projections: Point[] = [];\n    /* Include the start and end points of the circle segment, so that only\n      the projections contained within it are included */\n    // add the orthogonal projections (start and end points of circle segment)\n    projections.push(...this.projectBevel());\n    // let's determines which one of the orthogonal projection is the beginning and end of the circle segment.\n    // when `alpha` equals 0 or 2*PI, we have a straight line, so the way to find the start/end is different.\n    const isStraightLine = this.alpha % twoMathPi === 0,\n      // change the origin of the projections to point A\n      // so that the cross product calculation is correct\n      newOrigin = this.applySkew(this.A),\n      proj0 = projections[isStraightLine ? 0 : 2].subtract(newOrigin),\n      proj1 = projections[isStraightLine ? 1 : 0].subtract(newOrigin),\n      // when `isStraightLine` === true, we compare with the vector opposite AB, otherwise we compare with the bisector.\n      comparisonVector = isStraightLine\n        ? this.applySkew(this.AB.scalarMultiply(-1))\n        : this.applySkew(\n            this.bisector.multiply(this.strokeUniformScalar).scalarMultiply(-1),\n          ),\n      // the beginning of the circle segment is always to the right of the comparison vector (cross product > 0)\n      isProj0Start = crossProduct(proj0, comparisonVector) > 0,\n      startCircle = isProj0Start ? proj0 : proj1,\n      endCircle = isProj0Start ? proj1 : proj0;\n    if (!this.isSkewed()) {\n      projections.push(...this.projectRoundNoSkew(startCircle, endCircle));\n    } else {\n      projections.push(...this.projectRoundWithSkew(startCircle, endCircle));\n    }\n    return projections;\n  }\n\n  /**\n   * Project stroke width on points returning projections for each point as follows:\n   * - `miter`: 1 point corresponding to the outer boundary. If the miter limit is exceeded, it will be 2 points (becomes bevel)\n   * - `bevel`: 2 points corresponding to the bevel possible boundaries, orthogonal to the stroke.\n   * - `round`: same as `bevel` when it has no skew, with skew are 4 points.\n   */\n  protected projectPoints() {\n    switch (this.options.strokeLineJoin) {\n      case 'miter':\n        return this.projectMiter();\n      case 'round':\n        return this.projectRound();\n      default:\n        return this.projectBevel();\n    }\n  }\n\n  public project(): TProjection[] {\n    return this.projectPoints().map((point) => ({\n      originPoint: this.A,\n      projectedPoint: point,\n      angle: this.alpha,\n      bisector: this.bisector,\n    }));\n  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