Press n or j to go to the next uncovered block, b, p or k for the previous block.
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import {DCircle} from './DCircle'; import {checkFunction} from './utils'; import {DNumbers} from './DNumbers'; import {DPolygon} from './DPolygon'; // eslint-disable-next-line padded-blocks export class DLine { /** * @param a * @param b * @param c * @param [begin=DPoint.zero()] * @param [end=DPoint.zero()] */ constructor( public a: number, public b: number, public c: number, public begin: DPoint = DPoint.zero(), public end: DPoint = DPoint.zero() ) {} clone(): DLine { return new DLine(this.a, this.b, this.c, this.begin.clone(), this.end.clone()); } findPerpendicular(p: DPoint): DLine { checkFunction('findPerpendicular') .checkArgument('this.begin') .shouldBeMeters(this.begin) .checkArgument('this.end') .shouldBeMeters(this.end) .checkArgument('p') .shouldBeMeters(p); return new DLine(-this.b, this.a, this.b * p.x - this.a * p.y); } perpendicularDistance(p: DPoint): number { checkFunction('perpendicularDistance') .checkArgument('this.begin') .shouldBeMeters(this.begin) .checkArgument('this.end') .shouldBeMeters(this.end) .checkArgument('p') .shouldBeMeters(p); const perpendicularLine = this.findPerpendicular(p); const targetPoint = perpendicularLine.findPoint(this); return targetPoint!.distance(p); } /** * Find intersection of two lines segments. * For intersection of two lines use [[findPoint]] * @param l * @param [d=0] * @param [includeOnly=false] */ intersection(l: DLine, d: number = 0, includeOnly: boolean = false): DPoint | null { const p = this.findPoint(l); if (p) { if (includeOnly) { return this.insideRange(p, d) && l.insideRange(p, d) ? p : null; } return this.inRange(p, d) && l.inRange(p, d) ? p : null; } return null; } intersectionWithCircle(circle: DCircle): DPoint | [DPoint, DPoint] | null { const {center, r} = circle; const per = this.findPerpendicular(center); const t = this.findPoint(per)!; let distance = t.distance(center); if (this.begin.equal(center)) { distance = 0; } if (this.end.equal(center)) { distance = 0; } if (distance < r) { const {a, b, c} = this; if (this.isParallel) { const ct = center.distance(t); const move = Math.sqrt(r * r - ct * ct); // Mean "|" x = const if (this.isParallelY) { t.x = this.begin.x; const r1 = t.clone().move(0, -move); const r2 = t.clone().move(0, move); return [r1, r2]; } // Mean "-" y = const if (this.isParallelX) { t.y = this.begin.y; const r1 = t.clone().move(move, 0); const r2 = t.clone().move(-move, 0); return [r1, r2]; } } if (this.begin.like(center)) { const p = this.begin.clone(); return [this.movePoint(p, r), this.movePoint(p, -r)]; } if (this.end.like(center)) { const p = this.end.clone(); return [this.movePoint(p, r), this.movePoint(p, -r)]; } const s = a * a + b * b; const d = r * r - c * c / s; const mult = Math.sqrt(d / s); const r1 = t.clone().move(b * mult, -a * mult); const r2 = t.clone().move(-b * mult, a * mult); return [r1, r2]; } if (distance === r) { return t; } return null; } /** * Check if point below to line segment * @param p * @param d */ inRange(p: DPoint, d: number = 0): boolean { const {minX, minY, maxX, maxY} = this; const {x, y} = p; const isInX = x >= minX - d && x <= maxX + d; const isInY = y >= minY - d && y <= maxY + d; return isInX && isInY; } /** * Check if point below to line segment, but not equal star or end point. * @param p * @param [d=0] */ insideRange(p: DPoint, d: number = 0): boolean { const {begin, end} = this; return this.inRange(p, d) && !begin.like(p, 0.00001) && !end.like(p, 0.00001); } get center(): DPoint { return this.begin .clone() .setIfLessThan(this.end) .move(this.end .clone() .move(this.begin .clone() .minus()) .abs() .minus() .divide(2)); } get minX(): number { return Math.min(this.begin.x, this.end.x); } get minY(): number { return Math.min(this.begin.y, this.end.y); } get maxX(): number { return Math.max(this.begin.x, this.end.x); } get maxY(): number { return Math.max(this.begin.y, this.end.y); } toString(): string { return `(${this.a}, ${this.b}, ${this.c})`; } getValue(): number[] { return [this.a, this.b, this.c]; } /** * Find `x` from `y` value of point * @param p */ x(p: DPoint): DPoint { if (this.isParallelY) { return new DPoint(-this.c / this.a, p.y); } if (this.isParallelX) { return new DPoint(p.x, -this.c / this.b); } return new DPoint(-this.b / this.a * p.y - this.c / this.a, p.y); } /** * Find `y` from `x` value of point * @param p */ y(p: DPoint): DPoint { if (this.isParallelY) { return new DPoint(-this.c / this.a, p.y); } if (this.isParallelX) { return new DPoint(p.x, -this.c / this.b); } return new DPoint(p.x, -this.a / this.b * p.x - this.c / this.b); } /** * Find intersection of two lines. * For intersection of two lines segments use [[intersection]] * @param l */ findPoint(l: DLine): DPoint | null { if (this.isParallelY && l.isParallelY) { return null; } if (this.isParallelX && l.isParallelX) { return null; } if (this.isParallelX && l.isParallelY) { return new DPoint(-l.c / l.a, -this.c / this.b); } if (this.isParallelY && l.isParallelX) { return new DPoint(-this.c / this.a, -l.c / l.b); } if (this.isParallelY) { const x = -this.c / this.a; return l.y(new DPoint(x)); } if (this.isParallelX) { const y = -this.c / this.b; return l.x(new DPoint(0, y)); } if (l.isParallelY) { const x = -l.c / l.a; return this.y(new DPoint(x)); } if (l.isParallelX) { const y = -l.c / l.b; return this.x(new DPoint(0, y)); } const res = this.y(new DPoint((l.c / l.b - this.c / this.b) / (this.a / this.b - l.a / l.b))); if (!isFinite(res.x) && !isFinite(res.y)) { return null; } return res; } /** * Check if line parallel to `x` or `y` axis */ get isParallel(): boolean { return this.isParallelX || this.isParallelY; } get isParallelY(): boolean { return Math.abs(this.b) < 0.001; } get isParallelX(): boolean { return Math.abs(this.a) < 0.001; } /** * Get lines segment start and end points as array */ get points(): [DPoint, DPoint] { return [this.begin, this.end]; } /** * Get line segment direction (from start point to end point) */ getFi(): number { checkFunction('getFi') .checkArgument('this.begin') .shouldBeMeters(this.begin) .checkArgument('this.end') .shouldBeMeters(this.end); const {x, y} = this.end.clone().move(this.begin.clone().minus()); let v = Math.atan2(y, x) - Math.PI; Iif (v > 0) { v = Math.PI - v; } return (Math.PI - v) % (Math.PI * 2); } toWKT(): string { const { begin: {x: x1, y: y1}, end: {x: x2, y: y2} } = this; return `LINESTRING (${x1} ${y1}, ${x2} ${y2})`; } /** * Move lines point to left or right * @param point * @param distance */ movePoint(point: DPoint, distance: number): DPoint; /** * Move lines point to left or right * @param points * @param distances */ movePoint(points: DPoint[], distances: number[]): DPoint[]; movePoint(i: DPoint | DPoint[], k: number | number[]): DPoint[] | DPoint { const isArray = Array.isArray(i); const p: DPoint[] = isArray ? i : [i]; const d: number[] = (isArray ? k : [k]) as number[]; const fi = this.findFi(new DLine(1, 0, 0)); const td = this.x(new DPoint(1, 1)).distance(this.x(new DPoint(2, 2))) / 2; const sinCos = new DPoint(Math.sin(fi), Math.cos(fi)); const dt = sinCos.clone().scale(td); const p1T = p[0].clone().move(dt.clone().minus()); const p2T = p[0].clone().move(dt); let res: DPoint[] = []; if (DNumbers.like(this.y(p1T).y, p1T.y) || DNumbers.like(this.y(p2T).y, p2T.y)) { res = p.map((t: DPoint, index: number) => t.clone() .move(sinCos.clone().scale(d[index]))); } else { res = p.map((t: DPoint, index: number) => t.clone() .move(sinCos.clone().scale(d[index]) .setX(({x}) => -x))); } return isArray ? res : res[0]; } /** * Find angle between current line and line in argument * @param l * @param delta */ findFi({a, b}: DLine, delta = 1.0001): number { const {a: q, b: w} = this; let val = (q * a + w * b) / (Math.sqrt(q * q + w * w) * Math.sqrt(a * a + b * b)); if (val > 1 && val < delta) { val = 1; } else Iif (val < -1 && val > -delta) { val = -1; } return Math.acos(val); } /** * [Cross product](https://en.wikipedia.org/wiki/Cross_product) * @param l {DLine} */ vectorProduct({a, b, c}: DLine): DLine { const {a: q, b: w, c: e} = this; return new DLine(w * c - e * b, e * a - q * c, q * b - w * a); } /** * [Bresenham's line algorithm](https://en.wikipedia.org/wiki/Bresenham%27s_line_algorithm) */ bresenhamsLine(): DPolygon { let { x: x0, y: y0 } = this.begin; const { x: x1, y: y1 } = this.end; const dx = Math.abs(x1 - x0); const sx = x0 < x1 ? 1 : -1; const dy = -Math.abs(y1 - y0); const sy = y0 < y1 ? 1 : -1; let error = dx + dy; const res = new DPolygon(); // eslint-disable-next-line no-constant-condition while (true) { res.push(new DPoint(x0, y0)); if (x0 === x1 && y0 === y1) { break; } const e2 = 2 * error; if (e2 >= dy) { Iif (x0 === x1) { break; } error += dy; x0 += sx; } if (e2 <= dx) { Iif (y0 === y1) { break; } error += dx; y0 += sy; } } return res; } } |