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export class ShapesHelperService {
starLines(innerRadius: number, outerRadius: number, numRays: number, half: boolean, offsetOuterEdges: number):Base.Line3[] {
let lines: Base.Line3[] = [];
const angle_step = (2 * Math.PI) / numRays;
for (let i = 0; i < numRays; i++) {
const angle_i = i * angle_step;
const offset = offsetOuterEdges ? offsetOuterEdges : 0;
const outer_point: Base.Point3 = [
outerRadius * Math.cos(angle_i),
offset,
outerRadius * Math.sin(angle_i)
];
const inner_point: Base.Point3 = [
innerRadius * Math.cos(angle_i + angle_step / 2),
0,
innerRadius * Math.sin(angle_i + angle_step / 2)
];
const next_outer_point: Base.Point3 = [
outerRadius * Math.cos(angle_i + angle_step),
offset,
outerRadius * Math.sin(angle_i + angle_step)
];
lines.push({ start: outer_point, end: inner_point });
lines.push({ start: inner_point, end: next_outer_point });
}
Iif (half) {
lines = lines.slice(0, lines.length / 2);
}
return lines;
}
parallelogram(width: number, height: number, angle: number, center: boolean): Base.Line3[] {
const radians = (angle * Math.PI) / 180;
let x1: number, y1: number, x2: number, y2: number, x3: number, y3: number, x4: number, y4: number;
if (center) {
x1 = -width / 2;
y1 = -height / 2;
x2 = width / 2;
y2 = -height / 2;
x3 = width / 2;
y3 = height / 2;
x4 = -width / 2;
y4 = height / 2;
} else {
x1 = 0;
y1 = 0;
x2 = width;
y2 = 0;
x3 = width;
y3 = height;
x4 = 0;
y4 = height;
}
const shift = height * Math.tan(radians) / 2;
x1 += shift;
x2 += shift;
x3 -= shift;
x4 -= shift;
const pt1: Base.Point3 = [x1, 0, y1];
const pt2: Base.Point3 = [x2, 0, y2];
const pt3: Base.Point3 = [x3, 0, y3];
const pt4: Base.Point3 = [x4, 0, y4];
const line1: Base.Line3 = { start: pt1, end: pt2 };
const line2: Base.Line3 = { start: pt2, end: pt3 };
const line3: Base.Line3 = { start: pt3, end: pt4 };
const line4: Base.Line3 = { start: pt4, end: pt1 };
return [line1, line2, line3, line4];
}
ngon(n: number, radius: number, center: Base.Point2): Base.Line3[] {
const angle = (2 * Math.PI) / n;
const edges: Base.Line3[] = [];
for (let i = 0; i < n; i++) {
const start = [center[0] + radius * Math.cos(i * angle), 0, center[1] + radius * Math.sin(i * angle)] as Base.Point3;
const end = [center[0] + radius * Math.cos((i + 1) * angle), 0, center[1] + radius * Math.sin((i + 1) * angle)] as Base.Point3;
edges.push({ start, end });
}
return edges;
}
polygonL(widthFirst: number, lengthFirst: number, widthSecond: number, lengthSecond: number): Base.Point3[] {
return [
[0, 0, 0],
[lengthFirst, 0, 0],
[lengthFirst, 0, -widthFirst],
[-widthSecond, 0, -widthFirst],
[-widthSecond, 0, lengthSecond],
[0, 0, lengthSecond],
];
}
polygonLInverted(widthFirst: number, lengthFirst: number, widthSecond: number, lengthSecond: number): Base.Point3[] {
if (widthFirst >= lengthSecond) {
widthFirst = lengthSecond - 1e-6;
console.warn("width first is bigger than length second, to make it work, width second is set to length first - 1e-6");
}
if (widthSecond >= lengthFirst) {
widthSecond = lengthFirst - 1e-6;
console.warn("width second is bigger than length first, to make it work, width second is set to length first - 1e-6");
}
return [
[0, 0, 0],
[lengthFirst, 0, 0],
[lengthFirst, 0, widthFirst],
[widthSecond, 0, widthFirst],
[widthSecond, 0, lengthSecond],
[0, 0, lengthSecond],
];
}
polygonLMiddle(widthFirst: number, lengthFirst: number, widthSecond: number, lengthSecond: number): Base.Point3[] {
if (widthFirst >= lengthSecond) {
widthFirst = lengthSecond - 1e-6;
console.warn("width first is bigger than length second, to make it work, width second is set to length first - 1e-6");
}
if (widthSecond >= lengthFirst) {
widthSecond = lengthFirst - 1e-6;
console.warn("width second is bigger than length first, to make it work, width second is set to length first - 1e-6");
}
return [
[widthSecond / 2, 0, widthFirst / 2],
[widthSecond / 2, 0, lengthSecond ],
[-widthSecond / 2, 0, lengthSecond],
[-widthSecond / 2, 0, -widthFirst / 2],
[lengthFirst, 0, -widthFirst / 2],
[lengthFirst, 0, widthFirst / 2],
];
}
beamIProfile(width: number, height: number, webThickness: number, flangeThickness: number, alignment: Base.basicAlignmentEnum): Base.Point3[] {
// Create I-beam profile centered at origin
const halfWidth = width / 2;
const halfHeight = height / 2;
const halfWeb = webThickness / 2;
// Points for I-beam (clockwise from top-left)
const points: Base.Point3[] = [
[-halfWidth, 0, halfHeight],
[halfWidth, 0, halfHeight],
[halfWidth, 0, halfHeight - flangeThickness],
[halfWeb, 0, halfHeight - flangeThickness],
[halfWeb, 0, -halfHeight + flangeThickness],
[halfWidth, 0, -halfHeight + flangeThickness],
[halfWidth, 0, -halfHeight],
[-halfWidth, 0, -halfHeight],
[-halfWidth, 0, -halfHeight + flangeThickness],
[-halfWeb, 0, -halfHeight + flangeThickness],
[-halfWeb, 0, halfHeight - flangeThickness],
[-halfWidth, 0, halfHeight - flangeThickness],
];
return this.applyBeamAlignment(points, width, height, alignment);
}
beamHProfile(width: number, height: number, webThickness: number, flangeThickness: number, alignment: Base.basicAlignmentEnum): Base.Point3[] {
// H-beam is I-beam rotated 90 degrees (width and height swapped)
// Create H-beam profile centered at origin (rotated I-beam)
const halfWidth = width / 2;
const halfHeight = height / 2;
const halfWeb = webThickness / 2;
// Points for H-beam (I-beam rotated 90 degrees, clockwise from top-left)
const points: Base.Point3[] = [
[-halfWidth, 0, halfHeight],
[-halfWidth + flangeThickness, 0, halfHeight],
[-halfWidth + flangeThickness, 0, halfWeb],
[halfWidth - flangeThickness, 0, halfWeb],
[halfWidth - flangeThickness, 0, halfHeight],
[halfWidth, 0, halfHeight],
[halfWidth, 0, -halfHeight],
[halfWidth - flangeThickness, 0, -halfHeight],
[halfWidth - flangeThickness, 0, -halfWeb],
[-halfWidth + flangeThickness, 0, -halfWeb],
[-halfWidth + flangeThickness, 0, -halfHeight],
[-halfWidth, 0, -halfHeight],
];
return this.applyBeamAlignment(points, width, height, alignment);
}
beamTProfile(width: number, height: number, webThickness: number, flangeThickness: number, alignment: Base.basicAlignmentEnum): Base.Point3[] {
// Create T-beam profile centered at origin
const halfWidth = width / 2;
const halfHeight = height / 2;
const halfWeb = webThickness / 2;
// Points for T-beam (clockwise from top-left)
const points: Base.Point3[] = [
[-halfWidth, 0, halfHeight],
[halfWidth, 0, halfHeight],
[halfWidth, 0, halfHeight - flangeThickness],
[halfWeb, 0, halfHeight - flangeThickness],
[halfWeb, 0, -halfHeight],
[-halfWeb, 0, -halfHeight],
[-halfWeb, 0, halfHeight - flangeThickness],
[-halfWidth, 0, halfHeight - flangeThickness],
];
return this.applyBeamAlignment(points, width, height, alignment);
}
beamUProfile(width: number, height: number, webThickness: number, flangeThickness: number, flangeWidth: number, alignment: Base.basicAlignmentEnum): Base.Point3[] {
// Create U-beam profile centered at origin (opening upward - rotated 180 degrees from previous)
const halfWidth = width / 2;
const halfHeight = height / 2;
// Points for U-beam (clockwise from top-left outside, opening upward)
const points: Base.Point3[] = [
[-halfWidth, 0, halfHeight],
[-halfWidth + flangeThickness, 0, halfHeight],
[-halfWidth + flangeThickness, 0, -halfHeight + flangeWidth],
[halfWidth - webThickness, 0, -halfHeight + flangeWidth],
[halfWidth - webThickness, 0, halfHeight],
[halfWidth, 0, halfHeight],
[halfWidth, 0, -halfHeight],
[-halfWidth, 0, -halfHeight],
];
return this.applyBeamAlignment(points, width, height, alignment);
}
private applyBeamAlignment(points: Base.Point3[], width: number, height: number, alignment: Base.basicAlignmentEnum): Base.Point3[] {
// Alignment logic: the specified corner/edge of the shape is placed at the origin
// For example, topLeft means the top-left corner of the shape is at (0,0)
let offsetX = 0;
let offsetZ = 0;
switch (alignment) {
case Base.basicAlignmentEnum.topLeft:
offsetX = width / 2;
offsetZ = -height / 2;
break;
case Base.basicAlignmentEnum.topMid:
offsetX = 0;
offsetZ = -height / 2;
break;
case Base.basicAlignmentEnum.topRight:
offsetX = -width / 2;
offsetZ = -height / 2;
break;
case Base.basicAlignmentEnum.midLeft:
offsetX = width / 2;
offsetZ = 0;
break;
case Base.basicAlignmentEnum.midMid:
offsetX = 0;
offsetZ = 0;
break;
case Base.basicAlignmentEnum.midRight:
offsetX = -width / 2;
offsetZ = 0;
break;
case Base.basicAlignmentEnum.bottomLeft:
offsetX = width / 2;
offsetZ = height / 2;
break;
case Base.basicAlignmentEnum.bottomMid:
offsetX = 0;
offsetZ = height / 2;
break;
case Base.basicAlignmentEnum.bottomRight:
offsetX = -width / 2;
offsetZ = height / 2;
break;
}
return points.map(pt => [pt[0] + offsetX, pt[1], pt[2] + offsetZ] as Base.Point3);
}
}
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