WebCAD/__test__/Geometry/arc.test.ts

import { Arc } from '../../src/DatabaseServices/Arc';
import { Vector3, Vector2 } from 'three';
import { app } from '../../src/ApplicationServices/Application';
import { Command } from '../../src/Editor/CommandMachine';
import { PromptStatus } from '../../src/Editor/PromptResult';
import { RenderType } from '../../src/GraphicsSystem/Enum';
import { equal, equaln } from '../../src/Geometry/GeUtils';

test("三点共线", () =>
{
    let pt1 = new Vector3(0, 0, 0);
    let pt2 = new Vector3(0, 1, 0);
    let pt3 = new Vector3(0, 2, 0);

    let arc = new Arc();
    arc.FromThreePoint(pt1, pt2, pt3);

    console.log(arc.Center);
    console.log(arc.StartAngle);
    console.log(arc.EndAngle);
    console.log(arc.Radius);

    expect(arc.Center.toArray()).toMatchObject([0, 0, 0]);
})

test("三点圆心", () =>
{
    let arc = new Arc();
    arc.FromThreePoint(
        new Vector3(0, 0, 0),
        new Vector3(5, 5, 0),
        new Vector3(10, 0, 0)
    )

    console.log(arc.StartAngle);
    console.log(arc.EndAngle);

    expect(arc.Center.toArray()).toMatchObject([5, 0, 0]);
    expect(arc.StartAngle).toMatchSnapshot();
    expect(arc.EndAngle).toMatchSnapshot();
})

test("三点同一位置", () =>
{
    let arc = new Arc();
    arc.FromThreePoint(
        new Vector3(5, 5, 0),
        new Vector3(5, 5, 0),
        new Vector3(5, 5, 0)
    )

    console.log(arc.StartAngle);
    console.log(arc.EndAngle);

    expect(arc.Center.toArray()).toMatchObject([5, 5, 0]);
    expect(arc.StartAngle).toMatchSnapshot();
    expect(arc.EndAngle).toMatchSnapshot();
})

test('圆弧参数', () =>
{

    let arc = new Arc(new Vector3(5, 0, 0), 5, Math.PI, 0);

    expect(arc.GetParamAtPoint(new Vector3(0, 0, 0))).toBe(0);

    expect(equaln(arc.GetParamAtPoint(new Vector3(5, 5, 0)), 0.5)).toBeTruthy();

    expect(equaln(arc.GetParamAtPoint(new Vector3(10, 0, 0)), 1)).toBeTruthy();

    expect(equaln(arc.GetParamAtPoint(new Vector3(5, -5, 0)), 1.5)).toBeTruthy();


});

test('0长度圆弧,参数', () =>
{

    let arc = new Arc(new Vector3(), 0, 0, 0);

    expect(arc.GetParamAtPoint(new Vector3(0, 0, 0))).toBe(NaN);

});

test("圆弧的切割1", () =>
{
    let arc = new Arc(new Vector3(5, 0, 0), 5, Math.PI, 0);
    expect(arc.GetSplitCurves(0.5)[0].EndPoint).toMatchObject({ 'x': 5, 'y': 5, 'z': 0 });
    expect(arc.GetSplitCurves(0.5)[1].EndPoint).toMatchObject({ 'x': 10, 'y': 0, 'z': 0 });

});
test("圆弧的切割2", () =>
{
    let arc = new Arc(new Vector3(5, 0, 0), 5, Math.PI, 0);
    expect(arc.GetSplitCurves([0.5, 0.8, 0.2])[0].StartPoint.distanceTo(new Vector3(0, 0, 0)) < 0.01).toBeTruthy();
    expect(arc.GetSplitCurves([0.5, 0.2, 0.8])[1].EndPoint.distanceTo(new Vector3(5, 5, 0)) < 0.01).toBeTruthy();
    expect(arc.GetSplitCurves([0.2, 0.5, 0.8]).length).toBe(4);
});

test('圆弧切割参数重复', () =>
{
    let arc = new Arc(new Vector3(5, 0, 0), 5, Math.PI, 0);
    let arcs = arc.GetSplitCurves([0, 1e-8, 0.5, 1, 1 + 1e-8]);
    expect(arcs.length).toMatchSnapshot();
});

test("圆弧延伸-反向", () =>
{
    let arc = new Arc(new Vector3(5, 0, 0), 5, Math.PI, 0);
    arc.Extend(-0.5);
    expect(arc.StartPoint.distanceTo(new Vector3(5, -5, 0)) < 0.01).toBeTruthy();
});

test("圆弧延伸-正向", () =>
{
    let arc = new Arc(new Vector3(5, 0, 0), 5, Math.PI, 0);
    arc.Extend(1.5);
    expect(arc.EndPoint.distanceTo(new Vector3(5, -5, 0)) < 0.01).toBeTruthy();
});

test("由距离得到圆弧参数", () =>
{
    let arc = new Arc(new Vector3(5, 0, 0), 5, Math.PI, 0);
    expect(equaln(arc.GetParamAtDist(0.25 * Math.PI * 5), 0.25)).toBeTruthy();
}
);
test("由距离得到对应点", () =>
{
    let arc = new Arc(new Vector3(5, 0, 0), 5, Math.PI, 0);

    expect(equal(arc.GetPointAtDistance(0.5 * Math.PI * 5), new Vector3(5, 5, 0))).toBeTruthy();
}
);

test("由参数得到距离", () =>
{
    let arc = new Arc(new Vector3(5, 0, 0), 5, Math.PI, 0);
    equaln(arc.GetDistAtParam(0.5), 0.5 * Math.PI * 5)
    expect(equaln(arc.GetDistAtParam(0.5), 0.5 * Math.PI * 5)).toBeTruthy();
}
);
test("由点得到距离", () =>
{
    let arc = new Arc(new Vector3(5, 0, 0), 5, Math.PI, 0);
    expect(equaln(arc.GetDistAtPoint(new Vector3(5, 5, 0)), 0.5 * Math.PI * 5)).toBeTruthy();
    expect(arc.GetDistAtPoint(new Vector3(10, 0, 0))).toBe(Math.PI * 5);
}
);

test('圆弧偏移', () =>
{
    let arc = new Arc(new Vector3(5, 0, 0), 5, Math.PI, 0);

    for (let d of [0, -10, 20])
    {
        let arcs = arc.GetOffsetCurves(d);

        for (let a of arcs)
        {
            expect(a.Center).toMatchSnapshot();
            expect(a.StartAngle).toMatchSnapshot();
            expect(a.EndAngle).toMatchSnapshot();
            expect(a.Radius).toMatchSnapshot();
        }
    }
    arc.Reverse();

    for (let d of [0, -10, 20])
    {
        let arcs = arc.GetOffsetCurves(d);

        for (let a of arcs)
        {
            expect(a.Center).toMatchSnapshot();
            expect(a.StartAngle).toMatchSnapshot();
            expect(a.EndAngle).toMatchSnapshot();
            expect(a.Radius).toMatchSnapshot();
        }
    }


});

test('最近点', () =>
{
    let arc = new Arc(new Vector3(5, 0, 0), 5, Math.PI, 0);

    expect(arc.GetClosestPointTo(new Vector3(-5, 0, 0), true)/*?*/).toMatchSnapshot();//0,0,0.
    expect(arc.GetClosestPointTo(new Vector3(8, 0, 0), true)/*?*/).toMatchSnapshot();//0,0,0.

});


test('圆弧合并', () =>
{
    let arc = new Arc(new Vector3(), 1, 0, 1);
    let arc2 = new Arc(new Vector3(), 1, 3, 4);

    //成了一个圆
    expect(arc.Join(arc2)).toBeTruthy();
    expect(equaln(arc.AllAngle, Math.PI * 2)).toBeTruthy();

    arc = new Arc(new Vector3(), 1, 0, 1).Reverse();
    arc2 = new Arc(new Vector3(), 1, 0.5, 0.2).Reverse();

    expect(arc.Join(arc2)).toBeFalsy();

    //终点捅了进去
    arc = new Arc(new Vector3(), 1, 0, 1).Reverse();
    arc2 = new Arc(new Vector3(), 1, 0.5, 5).Reverse();
    expect(arc.Join(arc2)).toBeTruthy();
    expect(arc.StartAngle).toMatchSnapshot();
    expect(arc.EndAngle).toMatchSnapshot();

    //包含.
    arc = new Arc(new Vector3(), 1, 0, 1).Reverse();
    arc2 = new Arc(new Vector3(), 1, 5, 3);

    expect(arc.Join(arc2)).toBeTruthy();
    arc.Reverse();
    expect(arc.StartAngle).toBe(0);
    expect(arc.EndAngle).toBe(1);

    //起点捅了进去
    arc2 = new Arc(new Vector3(), 1, 3, 0.5).Reverse();
    expect(arc.Join(arc2)).toBeTruthy();
    expect(arc.StartAngle).toBe(0);
    expect(arc.EndAngle).toBe(0.5);

    //被包含
    arc = new Arc(new Vector3(), 1, 0, 1).Reverse();
    arc2 = new Arc(new Vector3(), 1, 0.5, 0.8);

    expect(arc.Join(arc2)).toBeTruthy();
    arc.Reverse();
    expect(arc.StartAngle).toBe(0.5);
    expect(arc.EndAngle).toBe(0.8);

    //容差允许
    arc = new Arc(new Vector3(), 1, 0, 1);
    arc2 = new Arc(new Vector3(), 1, 0.5, 1e-6).Reverse();
    expect(arc.Join(arc2)).toBeTruthy();
    expect(arc.StartAngle).toBe(0.5);
    expect(arc.EndAngle).toBe(1);
});

test('容差相接', () =>
{
    let arc = new Arc(new Vector3(), 1, 0, 1);
    let arc2 = new Arc(new Vector3(), 1, 1 + 1e-5, 0.5);

    //终点对起点
    expect(arc.Join(arc2)).toBeTruthy();
    expect(arc.EndAngle).toBe(0.5);

    //起点对终点
    arc2.EndAngle = 0 + 1e-5;

    expect(arc.Join(arc2)).toBeTruthy();
    expect(equaln(arc.AllAngle, Math.PI * 2));

    arc.StartAngle = 0;
    arc.EndAngle = 1;

    arc2.StartAngle = 0;
    arc2.EndAngle = 0.5;

    expect(arc.Join(arc2)).toBeTruthy();
    arc.StartAngle //?
    expect(arc.EndAngle).toBe(0.5);

    //终点对起点
    arc.StartAngle = 0;
    arc.EndAngle = 1;

    arc2.StartAngle = 0.5;
    arc2.EndAngle = 1;

    expect(arc.Join(arc2)).toBeTruthy();

    //起点对起点
    arc.StartAngle = 0;
    arc.EndAngle = 1;

    arc2.StartAngle = 1;
    arc2.EndAngle = 0;
    expect(arc.Join(arc2)).toBeTruthy();

    expect(arc.AllAngle).toBe(Math.PI * 2);
});