import {describe, test, assert} from 'vitest';
import {Point2D} from '../../src/math/point.js';
import {
Line,
getAngle,
areOrthogonal,
getPerpendicularLine,
getPerpendicularLineAtDistance,
isPointInLineRange
} from '../../src/math/line.js';
/**
* Tests for the 'math/line.js' file.
*/
describe('math', () => {
/**
* Tests for {@link Line}.
*
* @function module:tests/math~line-class
*/
test('Line class - #DWV-REQ-UI-07-007 Draw ruler', () => {
const p00 = new Point2D(0, 0);
const p01 = new Point2D(0, -5);
const l00 = new Line(p00, p01);
// getBegin
assert.equal(l00.getBegin(), p00, 'getBegin');
// getEnd
assert.equal(l00.getEnd(), p01, 'getEnd');
// getLength
assert.equal(l00.getLength(), 5, 'getLength');
// getWorldLength
const spacing2D = {x: 0.5, y: 0.5};
assert.equal(l00.getWorldLength(spacing2D), 2.5, 'getWorldLength');
// equals: true
const l01 = new Line(p00, p01);
assert.ok(l00.equals(l01), 'equal lines');
// equals: false end
const p02 = new Point2D(0, -4);
const l02 = new Line(p00, p02);
assert.notOk(l00.equals(l02), 'non equal lines end');
// equals: false begin
const l03 = new Line(p02, p01);
assert.notOk(l00.equals(l03), 'non equal lines begin');
// getMidpoint
const pMid = new Point2D(0, -2.5); // rounded...
assert.equal(l00.getMidpoint().equals(pMid), true, 'getMidpoint');
// getCentroid
assert.equal(l00.getCentroid().equals(pMid), true, 'getCentroid');
// slope
const p10 = new Point2D(1, 1);
const l10 = new Line(p00, p10);
assert.equal(l10.getSlope(), 1, 'getSlope');
const p11 = new Point2D(1, -1);
const l11 = new Line(p00, p11);
assert.equal(l11.getSlope(), -1, 'getSlope (negative)');
const p12 = new Point2D(1, 0);
const l12 = new Line(p00, p12);
assert.equal(l12.getSlope(), 0, 'getSlope (horizontal)');
assert.equal(l00.getSlope(), -Infinity, 'getSlope (vertical)');
// inclination
assert.equal(l10.getInclination(), 135, 'Inclination'); // 180 - 45
assert.equal(l11.getInclination(), 225,
'Inclination (negative)'); // 180 + 45
assert.equal(l12.getInclination(), 180, 'Inclination (horizontal)');
assert.equal(l00.getInclination(), 270,
'Inclination (vertical)'); // 180 + 90
// intercept
assert.equal(l10.getIntercept(), 0, 'getIntercept (zero)');
const p20 = new Point2D(0, 1);
const p21 = new Point2D(1, 2);
const l20 = new Line(p20, p21);
assert.equal(l20.getIntercept(), 1, 'getIntercept');
const p22 = new Point2D(0, -1);
const p23 = new Point2D(1, -2);
const l21 = new Line(p22, p23);
assert.equal(l21.getIntercept(), -1, 'getIntercept (negative)');
const p24 = new Point2D(0, 1);
const p25 = new Point2D(-1, 2);
const l22 = new Line(p24, p25);
assert.equal(l22.getIntercept(), 1, 'getIntercept (back)');
const p26 = new Point2D(0, -1);
const p27 = new Point2D(-1, -2);
const l23 = new Line(p26, p27);
assert.equal(l23.getIntercept(), -1, 'getIntercept (back negative)');
// flipped
const p30 = new Point2D(0, 1);
const p31 = new Point2D(1, 2);
const l30 = new Line(p30, p31);
const l30res = l30.getFlipped();
assert.ok(l30res.getBegin().equals(p31), 'getFlipped begin');
assert.ok(l30res.getEnd().equals(p30), 'getFlipped end');
});
/**
* Tests for {@link getAngle}.
*
* @function module:tests/math~angle-between-lines
*/
test('Angle between lines - #DWV-REQ-UI-07-005 Draw protractor',
() => {
const p00 = new Point2D(0, 0);
const p02 = new Point2D(1, -1);
// test #0
const p01 = new Point2D(1, 1);
const l00 = new Line(p00, p01);
const l01 = new Line(p00, p02);
assert.equal(
getAngle(l00, l01),
90,
'getAngle');
// test #1
const p11 = new Point2D(1, 0);
const l10 = new Line(p00, p11);
const p12 = new Point2D(0, -1);
const p13 = new Point2D(1, -1);
const l11 = new Line(p12, p13);
assert.equal(
getAngle(l10, l11),
180,
'getAngle (horizontal parallel)');
// test #2
const p20 = new Point2D(0, -5);
const l20 = new Line(p00, p20);
const l21 = new Line(p11, p02);
assert.equal(
getAngle(l20, l21),
180,
'getAngle (vertical parallel)');
}
);
/**
* Tests for {@link Line} areOrthogonal.
*
* @function module:tests/math~areorthogonal
*/
test('areOrthogonal', () => {
const p00 = new Point2D(0, 0);
const p01 = new Point2D(1, 0);
const l00 = new Line(p00, p01);
const p10 = new Point2D(0, 0);
const p11 = new Point2D(0, 1);
const l10 = new Line(p10, p11);
assert.ok(areOrthogonal(l00, l10), 'areOrthogonal #00');
const p20 = new Point2D(1, 0);
const p21 = new Point2D(1, 1);
const l20 = new Line(p20, p21);
assert.ok(areOrthogonal(l00, l20), 'areOrthogonal #01');
const p30 = new Point2D(0, 0);
const p31 = new Point2D(1, 1);
const l30 = new Line(p30, p31);
assert.notOk(areOrthogonal(l00, l30), 'areOrthogonal #02');
const p40 = new Point2D(0, 0);
const p41 = new Point2D(-1, 1);
const l40 = new Line(p40, p41);
assert.ok(areOrthogonal(l30, l40), 'areOrthogonal #03');
});
/**
* Tests for {@link Line}.
*
* @function module:tests/math~perpendicular-line
*/
test('Perpendicular line', () => {
const p00 = new Point2D(0, 0);
const p01 = new Point2D(0, -5);
const l00 = new Line(p00, p01);
// test #0
const l0p = getPerpendicularLine(l00, p00, 2);
const pl0pbeg = new Point2D(-1, 0);
assert.ok(l0p.getBegin().equals(pl0pbeg), 'perpendicular horizon begin');
const pl0pend = new Point2D(1, 0);
assert.ok(l0p.getEnd().equals(pl0pend), 'perpendicular horizon end');
// test #1
const p11 = new Point2D(1, 0);
const l1 = new Line(p00, p11);
const l1p = getPerpendicularLine(l1, p00, 2);
const pl2pbeg = new Point2D(0, -1);
assert.ok(l1p.getBegin().equals(pl2pbeg), 'perpendicular vertical begin');
const pl2pend = new Point2D(0, 1);
assert.ok(l1p.getEnd().equals(pl2pend), 'perpendicular vertical end');
// test #0
const isSimilar = function (a, b) {
return Math.abs(a - b) < 1e-10;
};
const isSimilarPoint2D = function (p0, p1) {
return isSimilar(p0.getX(), p1.getX()) &&
isSimilar(p0.getY(), p1.getY());
};
const p6 = new Point2D(0, 1);
const p7 = new Point2D(1, 2);
const l5 = new Line(p6, p7);
const l5p = getPerpendicularLine(l5, p6, 2);
const halfSqrt2 = Math.sqrt(2) / 2;
const pl5pbeg = new Point2D(-halfSqrt2, 1 + halfSqrt2);
assert.ok(isSimilarPoint2D(l5p.getBegin(), pl5pbeg), 'perpendicular begin');
const pl5pend = new Point2D(halfSqrt2, 1 - halfSqrt2);
assert.ok(isSimilarPoint2D(l5p.getEnd(), pl5pend), 'perpendicular end');
});
/**
* Tests for {@link Line}.
*
* @function module:tests/math~line-getperpendicularlineatdistance
*/
test('Line getPerpendicularLineAtDistance', () => {
const p00 = new Point2D(0, 0);
const p01 = new Point2D(0, -5);
const l00 = new Line(p00, p01);
// test #0
const l0p = getPerpendicularLineAtDistance(l00, 0, 2);
const pl0pbeg = new Point2D(-1, 0);
assert.ok(l0p.getBegin().equals(pl0pbeg), 'perpendicular horizon begin #0');
const pl0pend = new Point2D(1, 0);
assert.ok(l0p.getEnd().equals(pl0pend), 'perpendicular horizon end #0');
// test #1
// TODO was expecting -1 and not -0.5...
const l1p = getPerpendicularLineAtDistance(l00, 1, 2);
const pl1pbeg = new Point2D(-1, -0.5);
assert.ok(l1p.getBegin().equals(pl1pbeg), 'perpendicular horizon begin #1');
const pl1pend = new Point2D(1, -0.5);
assert.ok(l1p.getEnd().equals(pl1pend), 'perpendicular horizon end #1');
// test #2
// TODO was expecting -2 and not -1...
const l2p = getPerpendicularLineAtDistance(l00, 2, 2);
const p21pbeg = new Point2D(-1, -1);
assert.ok(l2p.getBegin().equals(p21pbeg), 'perpendicular horizon begin #2');
const p21pend = new Point2D(1, -1);
assert.ok(l2p.getEnd().equals(p21pend), 'perpendicular horizon end #2');
});
/**
* Tests for {@link Line}.
*
* @function module:tests/math~line-ispointinlinerange
*/
test('Line isPointInLineRange', () => {
const p00 = new Point2D(0, 0);
const p01 = new Point2D(1, 1);
const l00 = new Line(p00, p01);
// begin
assert.ok(isPointInLineRange(p00, l00), 'isPointInLineRange #0');
// end
assert.ok(isPointInLineRange(p01, l00), 'isPointInLineRange #1');
// centroid
const p02 = new Point2D(0.5, 0.5);
assert.ok(isPointInLineRange(p02, l00), 'isPointInLineRange #2');
const p03 = l00.getCentroid();
assert.ok(isPointInLineRange(p03, l00), 'isPointInLineRange #3');
// can be outside line
const p04 = new Point2D(0, 1);
assert.ok(isPointInLineRange(p04, l00), 'isPointInLineRange #4');
const p05 = new Point2D(1, 0);
assert.ok(isPointInLineRange(p05, l00), 'isPointInLineRange #5');
});
});