Files
webeditor3d/tests/geometry/terrain-mesh.test.ts

606 lines
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TypeScript

import { describe, expect, it } from "vitest";
import {
createTerrain,
getTerrainHeightAtSample,
type Terrain
} from "../../src/document/terrains";
import {
buildTerrainDerivedMeshData,
buildTerrainLodChunkMeshData,
buildTerrainLodMeshData,
type TerrainLodLevelMeshData,
resolveTerrainLodLevelIndex,
resolveTerrainLodLevelIndexWithHysteresis
} from "../../src/geometry/terrain-mesh";
function createJaggedTerrainHeights(sampleCountX: number, sampleCountZ: number) {
return Array.from({ length: sampleCountX * sampleCountZ }, (_, index) => {
const sampleX = index % sampleCountX;
const sampleZ = Math.floor(index / sampleCountX);
return (
((sampleX * 17 + sampleZ * 31) % 13) -
6 +
(sampleX % 2 === 0 ? 0.35 : -0.2) +
(sampleZ % 3 === 0 ? 0.5 : -0.15)
);
});
}
function collectTopEdgeKeys(options: {
terrain: Terrain;
level: TerrainLodLevelMeshData;
axis: "x" | "z";
sampleCoordinate: number;
}): string[] {
const keys = new Set<string>();
const coordinateOffset = options.axis === "x" ? 0 : 2;
const varyingOffset = options.axis === "x" ? 2 : 0;
const epsilon = 1e-5;
for (
let positionOffset = 0;
positionOffset < options.level.positions.length;
positionOffset += 3
) {
const sampleCoordinate =
options.level.positions[positionOffset + coordinateOffset]! /
options.terrain.cellSize;
if (Math.abs(sampleCoordinate - options.sampleCoordinate) > epsilon) {
continue;
}
const varyingSample =
options.level.positions[positionOffset + varyingOffset]! /
options.terrain.cellSize;
const roundedVaryingSample = Math.round(varyingSample);
const maxVaryingSample =
options.axis === "x"
? options.terrain.sampleCountZ - 1
: options.terrain.sampleCountX - 1;
if (Math.abs(varyingSample - roundedVaryingSample) > epsilon) {
continue;
}
if (roundedVaryingSample === 0 || roundedVaryingSample === maxVaryingSample) {
continue;
}
const sampleX =
options.axis === "x"
? options.sampleCoordinate
: roundedVaryingSample;
const sampleZ =
options.axis === "x"
? roundedVaryingSample
: options.sampleCoordinate;
const expectedHeight = getTerrainHeightAtSample(
options.terrain,
sampleX,
sampleZ
);
const height = options.level.positions[positionOffset + 1]!;
if (Math.abs(height - expectedHeight) > epsilon) {
continue;
}
keys.add(`${roundedVaryingSample}:${height.toFixed(6)}`);
}
return [...keys].sort((left, right) => Number(left.split(":")[0]) - Number(right.split(":")[0]));
}
function collectLoweredEdgeVertexCount(options: {
terrain: Terrain;
level: TerrainLodLevelMeshData;
axis: "x" | "z";
sampleCoordinate: number;
}): number {
const coordinateOffset = options.axis === "x" ? 0 : 2;
const varyingOffset = options.axis === "x" ? 2 : 0;
const epsilon = 1e-5;
let count = 0;
for (
let positionOffset = 0;
positionOffset < options.level.positions.length;
positionOffset += 3
) {
const sampleCoordinate =
options.level.positions[positionOffset + coordinateOffset]! /
options.terrain.cellSize;
if (Math.abs(sampleCoordinate - options.sampleCoordinate) > epsilon) {
continue;
}
const varyingSample =
options.level.positions[positionOffset + varyingOffset]! /
options.terrain.cellSize;
const roundedVaryingSample = Math.round(varyingSample);
if (Math.abs(varyingSample - roundedVaryingSample) > epsilon) {
continue;
}
const sampleX =
options.axis === "x"
? options.sampleCoordinate
: roundedVaryingSample;
const sampleZ =
options.axis === "x"
? roundedVaryingSample
: options.sampleCoordinate;
const expectedHeight = getTerrainHeightAtSample(
options.terrain,
sampleX,
sampleZ
);
const height = options.level.positions[positionOffset + 1]!;
if (height < expectedHeight - epsilon) {
count += 1;
}
}
return count;
}
describe("terrain mesh generation", () => {
it("chooses the forward diagonal when the opposite-corner height delta is smaller", () => {
const terrain = createTerrain({
sampleCountX: 2,
sampleCountZ: 2,
heights: [0, 3, 1, 0]
});
const derivedMesh = buildTerrainDerivedMeshData(terrain);
expect(derivedMesh.cellTriangulation).toEqual([
{
cellX: 0,
cellZ: 0,
diagonal: "forward"
}
]);
expect(Array.from(derivedMesh.indices)).toEqual([0, 2, 3, 0, 3, 1]);
});
it("chooses the backward diagonal when that split better matches the local slope", () => {
const terrain = createTerrain({
sampleCountX: 2,
sampleCountZ: 2,
heights: [0, 0, 0, 3]
});
const derivedMesh = buildTerrainDerivedMeshData(terrain);
expect(derivedMesh.cellTriangulation).toEqual([
{
cellX: 0,
cellZ: 0,
diagonal: "backward"
}
]);
expect(Array.from(derivedMesh.indices)).toEqual([0, 2, 1, 1, 2, 3]);
});
it("derives UVs from world XZ positions instead of triangle-local stretch", () => {
const terrain = createTerrain({
sampleCountX: 2,
sampleCountZ: 2,
cellSize: 2,
position: {
x: 10,
y: 4,
z: -6
},
heights: [0, 1, 2, 3]
});
const derivedMesh = buildTerrainDerivedMeshData(terrain);
expect(Array.from(derivedMesh.uvs)).toEqual([10, -6, 12, -6, 10, -4, 12, -4]);
});
it("derives full per-vertex layer weights from the compact terrain paint data", () => {
const terrain = createTerrain({
sampleCountX: 2,
sampleCountZ: 2,
paintWeights: [
0.2,
0.3,
0.1,
0,
0.5,
0,
0.1,
0.1,
0.1,
0.25,
0.25,
0.25
]
});
const derivedMesh = buildTerrainDerivedMeshData(terrain);
expect(Array.from(derivedMesh.layerWeights)).toEqual([
expect.closeTo(0.4, 5),
expect.closeTo(0.2, 5),
expect.closeTo(0.3, 5),
expect.closeTo(0.1, 5),
0,
0,
0,
0,
expect.closeTo(0.5, 5),
expect.closeTo(0, 5),
expect.closeTo(0.5, 5),
expect.closeTo(0, 5),
0,
0,
0,
0,
expect.closeTo(0.7, 5),
expect.closeTo(0.1, 5),
expect.closeTo(0.1, 5),
expect.closeTo(0.1, 5),
0,
0,
0,
0,
expect.closeTo(0.25, 5),
expect.closeTo(0.25, 5),
expect.closeTo(0.25, 5),
expect.closeTo(0.25, 5),
0,
0,
0,
0
]);
});
it("chunks terrain LoD data across non-multiple-of-64 terrain edges", () => {
const terrain = createTerrain({
sampleCountX: 130,
sampleCountZ: 70
});
const lodMesh = buildTerrainLodMeshData(terrain);
expect(lodMesh.chunks).toHaveLength(6);
expect(lodMesh.chunks[0]).toMatchObject({
chunkX: 0,
chunkZ: 0,
startSampleX: 0,
startSampleZ: 0,
endSampleX: 64,
endSampleZ: 64
});
expect(lodMesh.chunks.at(-1)).toMatchObject({
chunkX: 2,
chunkZ: 1,
startSampleX: 128,
startSampleZ: 64,
endSampleX: 129,
endSampleZ: 69
});
});
it("can rebuild one terrain LoD chunk from its starting sample", () => {
const terrain = createTerrain({
sampleCountX: 130,
sampleCountZ: 70
});
const chunk = buildTerrainLodChunkMeshData(terrain, 64, 0);
expect(chunk).toMatchObject({
chunkX: 1,
chunkZ: 0,
startSampleX: 64,
startSampleZ: 0,
endSampleX: 128,
endSampleZ: 64
});
expect(chunk?.levels.length).toBeGreaterThan(1);
});
it("generates smaller terrain LoD levels as stride increases", () => {
const terrain = createTerrain({
sampleCountX: 65,
sampleCountZ: 65
});
const [chunk] = buildTerrainLodMeshData(terrain).chunks;
expect(chunk).toBeDefined();
expect(chunk!.levels.map((level) => level.stride)).toEqual([
1,
2,
4,
8,
16
]);
const vertexCounts = chunk!.levels.map(
(level) => level.positions.length / 3
);
for (let index = 1; index < vertexCounts.length; index += 1) {
expect(vertexCounts[index]).toBeLessThan(vertexCounts[index - 1]!);
}
});
it("keeps terrain LoD chunk bounds covering source heights", () => {
const heights = new Array(17 * 17).fill(0);
heights[8 * 17 + 8] = 12;
heights[16 * 17 + 16] = -4;
const terrain = createTerrain({
sampleCountX: 17,
sampleCountZ: 17,
heights
});
const [chunk] = buildTerrainLodMeshData(terrain).chunks;
expect(chunk!.localBounds.min.y).toBeLessThanOrEqual(-4);
expect(chunk!.localBounds.max.y).toBeGreaterThanOrEqual(12);
});
it("keeps terrain LoD layer weights normalized for render blending", () => {
const terrain = createTerrain({
sampleCountX: 5,
sampleCountZ: 5,
paintWeights: Array.from({ length: 5 * 5 * 3 }, (_, index) =>
index % 3 === 0 ? 0.2 : index % 3 === 1 ? 0.3 : 0.1
)
});
const [chunk] = buildTerrainLodMeshData(terrain).chunks;
const [level] = chunk!.levels;
for (
let offset = 0;
offset < level!.layerWeights.length;
offset += 8
) {
const sum =
level!.layerWeights[offset]! +
level!.layerWeights[offset + 1]! +
level!.layerWeights[offset + 2]! +
level!.layerWeights[offset + 3]! +
level!.layerWeights[offset + 4]! +
level!.layerWeights[offset + 5]! +
level!.layerWeights[offset + 6]! +
level!.layerWeights[offset + 7]!;
expect(sum).toBeCloseTo(1, 5);
}
});
it("adds terrain LoD skirt vertices to hide hard-switch edge cracks", () => {
const terrain = createTerrain({
sampleCountX: 9,
sampleCountZ: 9
});
const [chunk] = buildTerrainLodMeshData(terrain).chunks;
const [level] = chunk!.levels;
expect(level!.skirtVertexCount).toBeGreaterThan(0);
expect(level!.positions.length / 3).toBeGreaterThan(9 * 9);
});
it("keeps shared terrain LoD chunk borders at full source resolution for every level", () => {
const terrain = createTerrain({
sampleCountX: 129,
sampleCountZ: 129,
heights: createJaggedTerrainHeights(129, 129)
});
const lodMesh = buildTerrainLodMeshData(terrain);
const westChunk = lodMesh.chunks.find(
(chunk) => chunk.chunkX === 0 && chunk.chunkZ === 0
);
const eastChunk = lodMesh.chunks.find(
(chunk) => chunk.chunkX === 1 && chunk.chunkZ === 0
);
const southChunk = lodMesh.chunks.find(
(chunk) => chunk.chunkX === 0 && chunk.chunkZ === 0
);
const northChunk = lodMesh.chunks.find(
(chunk) => chunk.chunkX === 0 && chunk.chunkZ === 1
);
expect(westChunk).toBeDefined();
expect(eastChunk).toBeDefined();
expect(southChunk).toBeDefined();
expect(northChunk).toBeDefined();
const expectedVerticalEdge = Array.from({ length: 65 }, (_, sampleZ) => {
const height = getTerrainHeightAtSample(terrain, 64, sampleZ);
return `${sampleZ}:${height.toFixed(6)}`;
});
const expectedHorizontalEdge = Array.from({ length: 65 }, (_, sampleX) => {
const height = getTerrainHeightAtSample(terrain, sampleX, 64);
return `${sampleX}:${height.toFixed(6)}`;
});
for (const level of westChunk!.levels) {
expect(
collectTopEdgeKeys({
terrain,
level,
axis: "x",
sampleCoordinate: 64
})
).toEqual(expectedVerticalEdge);
}
for (const level of eastChunk!.levels) {
expect(
collectTopEdgeKeys({
terrain,
level,
axis: "x",
sampleCoordinate: 64
})
).toEqual(expectedVerticalEdge);
}
for (const level of southChunk!.levels) {
expect(
collectTopEdgeKeys({
terrain,
level,
axis: "z",
sampleCoordinate: 64
})
).toEqual(expectedHorizontalEdge);
}
for (const level of northChunk!.levels) {
expect(
collectTopEdgeKeys({
terrain,
level,
axis: "z",
sampleCoordinate: 64
})
).toEqual(expectedHorizontalEdge);
}
});
it("does not add vertical terrain LoD skirts on shared chunk borders", () => {
const terrain = createTerrain({
sampleCountX: 129,
sampleCountZ: 65,
heights: createJaggedTerrainHeights(129, 65)
});
const lodMesh = buildTerrainLodMeshData(terrain);
const westChunk = lodMesh.chunks.find(
(chunk) => chunk.chunkX === 0 && chunk.chunkZ === 0
);
const eastChunk = lodMesh.chunks.find(
(chunk) => chunk.chunkX === 1 && chunk.chunkZ === 0
);
expect(westChunk).toBeDefined();
expect(eastChunk).toBeDefined();
for (const level of [...westChunk!.levels, ...eastChunk!.levels]) {
expect(
collectLoweredEdgeVertexCount({
terrain,
level,
axis: "x",
sampleCoordinate: 64
})
).toBe(0);
}
});
it("selects coarser terrain LoD levels as perspective distance increases", () => {
const levelCount = 5;
const chunkDiagonal = 100;
const chunkWorldCenter = { x: 0, y: 0, z: 0 };
expect(
resolveTerrainLodLevelIndex({
levelCount,
chunkDiagonal,
chunkWorldCenter,
cameraPosition: { x: 0, y: 0, z: 50 },
perspective: true
})
).toBe(0);
expect(
resolveTerrainLodLevelIndex({
levelCount,
chunkDiagonal,
chunkWorldCenter,
cameraPosition: { x: 0, y: 0, z: 120 },
perspective: true
})
).toBe(1);
expect(
resolveTerrainLodLevelIndex({
levelCount,
chunkDiagonal,
chunkWorldCenter,
cameraPosition: { x: 0, y: 0, z: 250 },
perspective: true
})
).toBe(2);
expect(
resolveTerrainLodLevelIndex({
levelCount,
chunkDiagonal,
chunkWorldCenter,
cameraPosition: { x: 0, y: 0, z: 500 },
perspective: true
})
).toBe(3);
expect(
resolveTerrainLodLevelIndex({
levelCount,
chunkDiagonal,
chunkWorldCenter,
cameraPosition: { x: 0, y: 0, z: 2000 },
perspective: true
})
).toBe(4);
});
it("keeps terrain LoD stable near distance thresholds", () => {
const levelCount = 5;
const chunkDiagonal = 100;
const chunkWorldCenter = { x: 0, y: 0, z: 0 };
expect(
resolveTerrainLodLevelIndexWithHysteresis({
levelCount,
activeLevelIndex: 0,
chunkDiagonal,
chunkWorldCenter,
cameraPosition: { x: 0, y: 0, z: 80 },
perspective: true
})
).toBe(0);
expect(
resolveTerrainLodLevelIndexWithHysteresis({
levelCount,
activeLevelIndex: 0,
chunkDiagonal,
chunkWorldCenter,
cameraPosition: { x: 0, y: 0, z: 90 },
perspective: true
})
).toBe(1);
expect(
resolveTerrainLodLevelIndexWithHysteresis({
levelCount,
activeLevelIndex: 1,
chunkDiagonal,
chunkWorldCenter,
cameraPosition: { x: 0, y: 0, z: 132 },
perspective: true
})
).toBe(1);
expect(
resolveTerrainLodLevelIndexWithHysteresis({
levelCount,
activeLevelIndex: 1,
chunkDiagonal,
chunkWorldCenter,
cameraPosition: { x: 0, y: 0, z: 60 },
perspective: true
})
).toBe(0);
});
});