tower / commit
feat(sky): Earth's real stars, set by the date (D-075)
README.md | 9 ++- decisions.md | 36 +++++++++ design.md | 36 ++++++--- src/data/bright-stars.json | 1 + src/views/exterior.ts | 8 +- src/views/interior-model.ts | 174 ++++++++++++++++++++++---------------------- src/views/stars.ts | 33 +++++++++ src/world/celestial.ts | 137 ++++++++++++++++++++++++++++++++++ src/world/sky.ts | 20 +++++ test/celestial.test.ts | 104 ++++++++++++++++++++++++++ tools/bright-stars.mjs | 44 +++++++++++ 11 files changed, 501 insertions(+), 101 deletions(-) diff --git a/README.md b/README.md index 1a7c88b..ae731b8 100644 --- a/README.md +++ b/README.md @@ -268,9 +268,16 @@ Any selection updates the URL, so a link is always shareable: ## Views **Map** is the unrolled inner surface. **Exterior** is Tower from outside — a -kilometre of hull, a window at each cap, the interior's own star field, the 244 km collector +kilometre of hull, a window at each cap, the real night sky, the 244 km collector flying ahead and the beam converging into the sun cap. Each piece is captioned. +**The stars are Earth's** — every naked-eye star in the Yale Bright Star Catalogue, about +9,100 of them to magnitude 6.5, at their true positions, brightnesses and colours. The same +sky is seen through the cap windows from inside. Tower's axis points at the sun, so the far +cap looks at the point opposite it, and the sky behind Tower turns once a year with the +clock's date; from outside, ecliptic north is up. `node tools/bright-stars.mjs` rebuilds +the catalogue file (`src/data/bright-stars.json`) from CDS. + The hull reads two ways and the **Hull** switch picks one; it opens on True and remembers whichever you last chose. **True** is the outer skin: bare structure, and both caps real windows — look in through either and the diff --git a/decisions.md b/decisions.md index 5adf437..f78b673 100644 --- a/decisions.md +++ b/decisions.md @@ -1703,6 +1703,8 @@ since Tower has never seen this thing lit. ## D-056 — Stars are drawn a pixel wide, so the sky stops flickering +*Superseded by D-075: the stars are now the real catalogue; the pixel-wide gaussian stays.* + The star field was a spike: brightness `(1 - d/r)^4` over a radius of about 0.11°, which on a retina panel at the default field is a core roughly one pixel across. The sky is sampled once per pixel, at the pixel's centre. So what got drawn was that spike @@ -2486,3 +2488,37 @@ may use any of them, and more are added as they come into use. current date and time, counted from day 0, and runs forward at the speed it was last run at; the speed and the Light are remembered, the time is not. `?clock=<hours since day 0>` holds it at a moment, stopped, which is what the screenshot tour uses to stay reproducible. + +## D-075 — The stars are Earth's + +**Asked for** (author, 2026-09-27): the sky was "sparse and random"; use the accurate night +sky from Earth instead. + +**What it is.** The Yale Bright Star Catalogue, 5th revised edition (Hoffleit & Warren 1991, +CDS V/50): 9,096 stars to about magnitude 6.5, which is everything the naked eye sees from +the darkest sites. `tools/bright-stars.mjs` writes it to `src/data/bright-stars.json` — +position (J2000), V magnitude, B−V colour — and the app loads it as a separate chunk the +first time a 3D view opens. The procedural field of D-056 is gone; both views still share +one `STAR_GLSL`, so the sky out of the far cap and the sky round the exterior are one sky. + +**Where it points.** Tower's axis points at the sun (§1.6), so the sky it sees is set by the +sun's ecliptic longitude, from the clock's real instant (`Sky.at`). The far cap looks at the +antisolar point; it walks the ecliptic a degree a day, so the pinwheel's centre is in +Pisces in late September and near Orion's feet at the December solstice. Roll about the +axis is the spin inside; outside nothing fixes it, so **ecliptic north is up** (scene +Y), the +one choice square to the axis every day of the year. Precession since J2000 is applied. +`src/world/celestial.ts` holds the maths and `test/celestial.test.ts` pins it: the sun where +the almanac has it at the 2026 equinox and solstice, the frame a rotation and not a mirror, +and Orion beyond the far cap in December. + +**How it draws.** A pixel cannot look at 9,000 stars. They are baked into cells on the six +faces of a cube (256 a side, each face bordered by its neighbours' stars), and a pixel reads +the nine cells round its own. Each star is still the pixel-wide gaussian of D-056, which +stays still rather than flickering; brightness goes as flux^0.8, and the brightest grow a +little wider. Colour follows B−V, kept pale, since starlight is too faint for much colour +vision. + +**The motionless star is not canon** (author, 2026-09-27). §1.4 promises "one motionless +star at the middle" of the pinwheel. The real sky has no star at the antisolar point, and it +moves a degree a day, so no real star could hold the place. The placed star at the centre +stays for now and is on the backlog (design.md §5) to revisit; removing it is one line. diff --git a/design.md b/design.md index 20a2c22..5fb89f2 100644 --- a/design.md +++ b/design.md @@ -383,7 +383,8 @@ So the interior sky behaves like this, and the shader must reproduce it: enormous, so this 1°/day reorientation is actively driven, continuously, forever. Canon treats this as Tower's defining maintenance burden. - Consequence for the interior view: the star field slowly drifts across the year - while spinning fast every 7.5 minutes. Two nested motions. + while spinning fast every 7.5 minutes. Two nested motions. Both are drawn (D-075): + the far cap looks at the antisolar point, which walks the ecliptic a degree a day. ### 1.7 Coordinates @@ -828,11 +829,14 @@ map's hillshade: blue-white sweep across the disc (D-060). The sun sits on the axis behind the collector, so its glint shows only when looking nearly straight down that axis. -**The stars are the interior's.** The sky is a sphere around the scene painted with -the same star field the windows use (D-056), sampled by direction from the camera so -the stars sit at infinity and hold still as the camera orbits. Nothing turns it — -the camera is not riding the hull — and there is no daylight to adapt to, so it is -drawn at full gain (D-060). +**The stars are the interior's, and they are Earth's** (D-075). The sky is a sphere +around the scene painted with the same star field the windows use (D-056), sampled by +direction from the camera so the stars sit at infinity and hold still as the camera +orbits. The field is the Yale Bright Star Catalogue — every star to magnitude 6.5 — set by +the clock's date: the axis points at the sun, so the sky behind Tower is fixed by the sun's +ecliptic longitude, and turns once a year. Outside, ecliptic north is up (scene +Y), the one +roll square to the axis on every day. Spin does not turn it — the camera is not riding the +hull — and there is no daylight to adapt to, so it is drawn at full gain (D-060). Everything in the scene is captioned — collector, beam, both caps — with screen-space labels. A dark disc and a cone of light are not self-explanatory, and the collector @@ -888,11 +892,11 @@ Scope, since D-062: **real geometry, and ground generated to match it.** Real: the ground is the actual cylinder, curving up on both sides and closing overhead, built from generated tiles (world-generation.md §6). **Stars only through the far cap** — the wall is sealed (§1.4), so for 539 of the -540 km the sky is land and light. The far cap is glazed (D-045) and the sky beyond -its stars are scattered evenly over the whole sphere — rolled in a lattice of 3D cells -and kept only where they land in a one-cell shell around the eye — and looked up by -view direction turned about the spin axis by the spin phase: one turn every 7 min 29 s, and the -point on the axis genuinely motionless. +540 km the sky is land and light. The far cap is glazed (D-045) and the sky beyond it is +the real one (D-075): the Yale Bright Star Catalogue, baked into cells on a cube's faces +so a pixel reads only the nine cells round it, and looked up by view direction turned +about the spin axis by the spin phase — one turn every 7 min 29 s, the point on the axis +genuinely motionless — and then by the date, which sets where the antisolar point is. The ground is a **quadtree of tiles**, each a 65-vertex grid bent onto the cylinder in a worker: 34 km tiles on the far side of the world, 33 m tiles underfoot, so vertices @@ -1154,3 +1158,13 @@ ground, the status dialog, keyboard flight, the map drawn from the features. Pha Greatwood as individual trees, its meadows, and the Tall Wood of giants. Phases 7–8 bring settlements and roads — procedural scenery this section used to list as out of scope. Clouds and rain stay undrawn (D-049). + +## 5. Backlog + +Things decided to be worth coming back to, not scheduled. + +- **The pinwheel's motionless star** (author, 2026-09-27). §1.4 promises one motionless + star at the centre of the turning sky, and the real sky (D-075) has none there — the + antisolar point walks a degree a day. The placed star in `STAR_GLSL` is **not canon** + and stays only until this is revisited: a motionless point, a beacon Tower hangs there, + or nothing. \ No newline at end of file diff --git a/src/data/bright-stars.json b/src/data/bright-stars.json new file mode 100644 index 0000000..b7da4c2 --- /dev/null +++ b/src/data/bright-stars.json @@ -0,0 +1 @@ +{"source":"Yale Bright Star Catalogue, 5th revised ed. 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diff --git a/src/views/exterior.ts b/src/views/exterior.ts index 8b7d7f1..aab7aa4 100644 --- a/src/views/exterior.ts +++ b/src/views/exterior.ts @@ -10,7 +10,7 @@ import type { Texture } from 'three' import { AmbientLight, BackSide, BufferGeometry, CircleGeometry, Color, CylinderGeometry, DirectionalLight, DoubleSide, Float32BufferAttribute, FrontSide, Group, LineBasicMaterial, - LineSegments, Matrix4, Mesh, MeshBasicMaterial, MeshStandardMaterial, PerspectiveCamera, + LineSegments, Matrix3, Matrix4, Mesh, MeshBasicMaterial, MeshStandardMaterial, PerspectiveCamera, Raycaster, RepeatWrapping, RingGeometry, SRGBColorSpace, Scene, ShaderMaterial, SphereGeometry, CanvasTexture, Sprite, SpriteMaterial, Vector2, Vector3, WebGLRenderer, AdditiveBlending, @@ -26,6 +26,7 @@ import { InteriorModel, STAR_GLSL, WINDOW_RENDER_ORDER } from './interior-model. import { defaultCalendar } from '../world/schema.js' import { clock } from '../world/clock.js' import { skyAt } from '../world/sky.js' +import { skyMatrix, starTexture } from './stars.js' const KM = 1000 const R = RADIUS_M / KM @@ -123,6 +124,8 @@ export class ExteriorView { private model: InteriorModel /** The converging rays from the collector, dimmed with the beam at night. */ private rays: LineSegments | null = null + /** The sky sphere's catalogue frame, set from the clock's instant each frame (D-075). */ + private skyFrame = new Matrix3() private frames = 0 private worldToTower = new Matrix4() private eyeInTower = new Vector3() @@ -478,8 +481,10 @@ export class ExteriorView { vertexShader: WORLD_VERT, fragmentShader: SKY_FRAG, side: BackSide, depthWrite: false, uniforms: { uBase: { value: new Color(0x05070d) }, uSpin: { value: 0 }, uStarGain: { value: 1 }, + uStars: { value: starTexture() }, uSkyFrame: { value: new Matrix3() }, }, })) + this.skyFrame = (sky.material as ShaderMaterial).uniforms['uSkyFrame']!.value as Matrix3 // First, behind everything. And it surrounds the camera, which culling does not // expect of a bounding sphere. sky.renderOrder = -1 @@ -738,6 +743,7 @@ export class ExteriorView { private applySky(): void { const sky = skyAt(terrain().world?.calendar ?? defaultCalendar(), clock.hours, clock.dial) this.model.setSky(sky) + skyMatrix(sky.at, this.skyFrame) if (this.frames++ % 10 === 0) this.model.setWeather(clock.hours) const beam = sky.dial === 'dark' ? 0 : Math.max(sky.power, 0.04) ;(this.rays!.material as LineBasicMaterial).color.setScalar(beam) diff --git a/src/views/interior-model.ts b/src/views/interior-model.ts index f566d1b..5df6131 100644 --- a/src/views/interior-model.ts +++ b/src/views/interior-model.ts @@ -15,7 +15,7 @@ import type { Object3D, Texture } from 'three' import { AdditiveBlending, BackSide, BufferAttribute, BufferGeometry, CircleGeometry, Color, CylinderGeometry, - DoubleSide, FrontSide, Group, InstancedMesh, Matrix4, Mesh, RingGeometry, ShaderMaterial, SphereGeometry, + DoubleSide, FrontSide, Group, InstancedMesh, Matrix3, Matrix4, Mesh, RingGeometry, ShaderMaterial, SphereGeometry, Vector3, Vector4, } from 'three' import { @@ -34,6 +34,8 @@ import { WAVE_AMP, WAVE_LEN, WAVE_PHASE, WAVE_TURN, boomAngle, shipsAt, waveAt } import { terrain } from '../terrain/service.js' import { MIRROR_UV_RADIUS, capGlazingTexture, sunCapGlazingTexture } from './cap-pattern.js' import { TerrainLOD, type TerrainLODOptions } from './terrain-lod.js' +import { skyMatrix, starTexture } from './stars.js' +import { STAR_FACE_CELLS, STAR_FACE_SIZE } from '../world/celestial.js' const KM = 1000 const R = RADIUS_M / KM @@ -983,112 +985,101 @@ void main() { /** * The sky through the windows (§1.4, D-045), and the exterior's sky (D-060). * - * **Stars are scattered in 3D, not in a projection.** Around the eye is a shell of - * radius STAR_SCALE, in cells of a cubic lattice. Every cell rolls whether it holds a - * star and where in the cell it sits, and a star counts only if it lands inside the - * shell, one cell thick. A shell that thick holds the same number of cells per - * steradian in every direction, so the field is uniform over the whole sphere. + * **The stars are Earth's** (D-075): the Yale Bright Star Catalogue, every star to + * magnitude 6.5, where they really are. The direction is turned about z by the spin phase + * — the pinwheel, one turn every 7 min 29 s — and then into the catalogue's frame by + * `uSkyFrame`, which follows the date: Tower's axis points at the sun, so the far cap + * looks at the antisolar point, and that walks round the ecliptic once a year + * (celestial.ts). Two nested motions, as §1.6 says. * - * The projection this replaces was not. It was azimuthal-equidistant about +z, - * chosen because the spin axis is the celestial pole and azimuth plus spin phase was - * the pinwheel. But it spends plane area as θ dθ dφ where the sky has sin θ dθ dφ, so - * stars per square degree grew as θ / sin θ — true at the deepward pole, half again - * as dense by the equator, and without bound toward the sun, where the cells also - * shrank below a pixel into grey dust. Inside it hid behind the windows' narrow - * view; the exterior shows the whole sky at once, and it was plain there. + * A pixel cannot visit 9,000 stars, so they are baked into cells on the faces of a cube + * (`bakeStars`): the pixel finds its face and cell and reads the nine cells round it. + * Each face's grid carries a border of its neighbours' stars, so the nine never leave + * the face and a star by an edge is seen from both sides of it and counted once. * - * The pinwheel means the same thing it did: the direction is turned about z by the - * spin phase before it is looked up, so every star runs a circle about the axis once - * every 7 min 29 s, and the one on the axis does not move. + * **Why a star is a gaussian a pixel wide.** It used to be a spike, (1 − d/0.09)^4, about + * a pixel across on a retina panel. The sky is sampled once per pixel at the pixel's + * centre, so what got drawn was that spike read at one arbitrary point on it — and half a + * pixel of head movement moved the reading from the peak to a third of it. That is + * flicker, and it is wrong twice over: vacuum has no air to twinkle through, and the + * interior is deliberately still. A curve as wide as the pixel barely changes between + * neighbouring samples, and it is what a point source looks like through any real + * optic. The footprint is |dd/dpixel| on the unit direction, the pixel's angular size, + * which has no seam anywhere on the sphere. + * + * **Brightness.** Flux is 1 at magnitude 6.5, so Sirius is 1,500. The eye does not see + * that range and a screen cannot show it; a power of 0.8 does most of the squeezing — + * steep enough that the constellations stand out of the faint field, as they do outdoors — + * and the brightest also grow a little wider, which is how bright stars read in any + * photograph and what tells Sirius from Rigel across a room. */ export const STAR_GLSL = /* glsl */` uniform float uSpin; uniform float uStarGain; +uniform mat3 uSkyFrame; +uniform highp sampler2D uStars; -float starHash(vec3 p) { - p = fract(p * 0.1031); - p += dot(p, p.zyx + 31.32); - return fract((p.x + p.y) * p.z); -} -vec3 starHash3(vec3 p) { - p = fract(p * vec3(0.1031, 0.1030, 0.0973)); - p += dot(p, p.yxz + 33.33); - return fract((p.xxy + p.yxx) * p.zyx); -} +const float STAR_CELLS = ${STAR_FACE_CELLS.toFixed(1)}; +const int STAR_SIZE = ${STAR_FACE_SIZE}; -// Cells per radian at the shell. ~1.2 deg cells, which at 22% occupancy lands near -// the naked-eye sky's real density of one star per 7 square degrees — the same -// density the old projection had at its pole, and now everywhere. -const float STAR_SCALE = 46.0; +/** + * B−V to a naked-eye colour. The hot ones blue-white, the sun white, the cool ones + * orange — and all of it pale, because starlight is too faint for the eye's colour + * vision to make much of: a saturated sky reads as fairground lights. + */ +vec3 starTint(float bv) { + vec3 c = mix(vec3(0.66, 0.76, 1.0), vec3(0.86, 0.9, 1.0), smoothstep(-0.3, 0.0, bv)); + c = mix(c, vec3(1.0, 0.97, 0.92), smoothstep(0.0, 0.6, bv)); + c = mix(c, vec3(1.0, 0.85, 0.66), smoothstep(0.6, 1.2, bv)); + c = mix(c, vec3(1.0, 0.74, 0.5), smoothstep(1.2, 1.9, bv)); + return c; +} vec3 starField(vec3 dir) { vec3 d0 = normalize(dir); float cs = cos(uSpin); float sn = sin(uSpin); - vec3 d = vec3(cs * d0.x - sn * d0.y, sn * d0.x + cs * d0.y, d0.z); - float th = acos(clamp(d.z, -1.0, 1.0)); - vec3 cell = floor(d * STAR_SCALE); - /** - * How wide to draw a star, and the whole reason the sky used to flicker. - * - * A star was a spike: brightness (1 - d/0.09)^4, which on a retina panel is a - * core about a pixel across. The sky is sampled once per pixel at the pixel's - * centre, so what got drawn was that spike read at one arbitrary point on it — - * and half a pixel of head movement moved the reading from the peak to a third - * of it. Every star in the field did that independently, every frame. That is - * flicker, and it is wrong twice over: vacuum has no air to twinkle through, - * and the interior is deliberately still. - * - * The fix is to stop drawing a shape smaller than the thing sampling it. The - * star becomes a gaussian one pixel wide — sigma tied to the pixel footprint, - * so it is one pixel on any display and at any zoom — which is what a point - * source genuinely looks like through any real optic: an Airy blob the width of - * the aperture's resolution, not a mathematical point. A curve that smooth - * barely changes between neighbouring samples, so the star sits still and the - * eye reads it as a point anyway. - * - * The footprint is measured from the direction vector: |dd/dpixel| on a unit - * vector is the pixel's angular size in radians, and it has no seam anywhere on - * the sphere. Clamped at the top because the cell search below is only 3x3x3: a - * sigma near the cell size would want light from stars this loop never visits. - */ - float sg = clamp(length(fwidth(d)) * STAR_SCALE * 0.85, 1e-4, 0.3); - float inv2s2 = 0.5 / (sg * sg); + vec3 d = uSkyFrame * vec3(cs * d0.x - sn * d0.y, sn * d0.x + cs * d0.y, d0.z); + + // A pixel's angular size, and a star's width from it. Capped well inside a cell at a + // face's corner (a seventh of a degree), or the nine cells would clip its skirt. + float sg = clamp(length(fwidth(d)) * 0.85, 1e-5, 0.0008); + + // The face, and the pixel's place on it: the same rule as celestial.ts's project(). + vec3 a = abs(d); + int axis = a.x >= a.y && a.x >= a.z ? 0 : (a.y >= a.z ? 1 : 2); + float n = axis == 0 ? d.x : (axis == 1 ? d.y : d.z); + vec2 uv = axis == 0 ? d.yz : (axis == 1 ? d.zx : d.xy); + uv /= abs(n); + int face = 2 * axis + (n < 0.0 ? 1 : 0); + ivec2 cell = ivec2(floor((uv + 1.0) * 0.5 * STAR_CELLS)) + 1; + cell = clamp(cell, ivec2(1), ivec2(STAR_SIZE - 2)); + // Compared in the face's own frame — (u, v, 1) — where the angle is the same as on + // the sky and nothing needs the face's axes in 3D. + vec3 here = normalize(vec3(uv, 1.0)); + vec3 sum = vec3(0.0); - for (int k = -1; k <= 1; k++) { - for (int j = -1; j <= 1; j++) { - for (int i = -1; i <= 1; i++) { - vec3 g = cell + vec3(float(i), float(j), float(k)); - float mag = starHash(g); - if (mag < 0.78) continue; // most of the sky is empty - vec3 q = g + starHash3(g + 11.7); - float r = length(q); - // The shell only. Without it one direction would collect every star in - // the column of cells behind it. - if (abs(r - STAR_SCALE) > 0.5) continue; - vec3 at = (d - q / r) * STAR_SCALE; - float b = exp(-dot(at, at) * inv2s2) * ((mag - 0.78) / 0.22); - // A few warm ones among the cool. Without it the field reads as noise. - sum += b * mix(vec3(0.72, 0.80, 1.0), vec3(1.0, 0.86, 0.68), starHash(g + 5.1)); - } + for (int j = -1; j <= 1; j++) { + for (int i = -1; i <= 1; i++) { + ivec2 c = cell + ivec2(i, j); + vec4 s = texelFetch(uStars, ivec2(c.x, face * STAR_SIZE + c.y), 0); + if (s.z <= 0.0) continue; + vec3 at = normalize(vec3(s.xy, 1.0)) - here; + float w = sg * (1.0 + 0.15 * log2(max(s.z, 1.0))); + float peak = min(0.012 * pow(s.z, 0.8), 1.8); + sum += starTint(s.w) * peak * exp(-dot(at, at) * 0.5 / (w * w)); } } /** - * The pole star, placed rather than left to the hash. §1.4 promises one - * motionless star at the centre of the pinwheel; it is the fixed point the whole - * phenomenon is read against, and a sky that happened not to roll one there - * would be missing the only part of it anybody in Tower would have named. - * - * It lands at the observer's own radius on the window — the axis is horizontal - * from the floor, so this is a star on the horizon, not overhead. + * The pinwheel's centre, marked. §1.4 promises one motionless star at the middle of + * the turning sky, and it is the fixed point the whole phenomenon is read against — + * but the real sky puts no star at the antisolar point, which walks a degree a day, + * so this one is placed rather than catalogued. Not canon: on the backlog (design.md §5). */ - float pole = th * STAR_SCALE; - // Drawn a little wider than the rest, as the one star that is placed rather than - // rolled: it is the fixed point the pinwheel is read against, and it has to be - // findable before anything can be seen to turn about it. + float th = acos(clamp(d0.z, -1.0, 1.0)); float ps = sg * 1.6; - sum += exp(-pole * pole * 0.5 / (ps * ps)) * vec3(1.0, 0.95, 0.86) * 1.6; - return sum * 2.6 * uStarGain; + sum += exp(-th * th * 0.5 / (ps * ps)) * vec3(1.0, 0.95, 0.86) * 1.6; + return sum * uStarGain; } ` @@ -1575,6 +1566,9 @@ export class InteriorModel { // Seconds, for anything that moves: the water. uTime: { value: 0 }, uStarGain: { value: 0 }, + // The real sky (D-075): the catalogue, and which way it lies at the clock's instant. + uStars: { value: starTexture() }, + uSkyFrame: { value: skyMatrix(Date.now(), new Matrix3()) }, // The sun's position (km), how lit it is, and the banked rod's share (SUN_GLSL). uSun: { value: new Vector3(L / 2, 1, 0) }, } @@ -1680,6 +1674,8 @@ export class InteriorModel { * and whether you can see them depends on what the eye is set to: full at night, 2% at * temperate, which is the honest answer to why nobody looks out at lunchtime. */ + private skyFrame = new Matrix3() + setSky(sky: Sky): { exposure: number; haze: Color } { const exposure = (sky.watts / BRIGHTNESS_TEMPERATE_W_M2) ** 0.35 const starGain = (BRIGHTNESS_NIGHT_W_M2 / Math.max(sky.watts, BRIGHTNESS_NIGHT_W_M2)) ** 0.6 @@ -1687,7 +1683,9 @@ export class InteriorModel { const zKm = (sky.sunZ ?? 0) / KM // The banked rod lights the night; with the beam shut down there is not even that. const rod = sky.dial === 'dark' ? 0 : 1 - sky.power + const frame = skyMatrix(sky.at, this.skyFrame) for (const m of this.materials) { + ;(m.uniforms['uSkyFrame']!.value as Matrix3).copy(frame) m.uniforms['uExposure']!.value = exposure m.uniforms['uStarGain']!.value = starGain ;(m.uniforms['uHaze']!.value as Color).copy(haze) diff --git a/src/views/stars.ts b/src/views/stars.ts new file mode 100644 index 0000000..f9d8447 --- /dev/null +++ b/src/views/stars.ts @@ -0,0 +1,33 @@ +/** + * The real star catalogue as a texture, shared by every shader that draws the sky + * (STAR_GLSL). See celestial.ts for the bake and D-075 for why. + * + * The catalogue is a separate chunk, fetched the first time a 3D view asks: the map + * never needs it. The texture exists from the start at its full size and empty, so + * shaders compile against it at once and the stars simply appear when it is filled. + */ +import { DataTexture, FloatType, Matrix3, NearestFilter, RGBAFormat } from 'three' +import { STAR_FACE_SIZE, bakeStars, skyFrame } from '../world/celestial.js' + +let texture: DataTexture | null = null + +export function starTexture(): DataTexture { + if (texture) return texture + const S = STAR_FACE_SIZE + const t = texture = new DataTexture(new Float32Array(S * S * 6 * 4), S, S * 6, RGBAFormat, FloatType) + // Read with texelFetch, one cell at a time: nothing is ever filtered or mipmapped. + t.minFilter = t.magFilter = NearestFilter + t.generateMipmaps = false + t.needsUpdate = true + void import('../data/bright-stars.json').then(({ default: catalog }) => { + ;(t.image.data as Float32Array).set(bakeStars(catalog.stars)) + t.needsUpdate = true + }) + return t +} + +/** `skyFrame` as the Matrix3 the shaders take, written into `into`. */ +export function skyMatrix(at: number, into: Matrix3): Matrix3 { + const m = skyFrame(new Date(at)) + return into.set(m[0]!, m[1]!, m[2]!, m[3]!, m[4]!, m[5]!, m[6]!, m[7]!, m[8]!) +} diff --git a/src/world/celestial.ts b/src/world/celestial.ts new file mode 100644 index 0000000..6e68df3 --- /dev/null +++ b/src/world/celestial.ts @@ -0,0 +1,137 @@ +/** + * The real sky behind Tower: which way the stars lie from its axis at a given instant. + * See design.md §1.6 and decisions.md D-075. + * + * Tower's axis points at the sun (§1.6), so the sky it sees is fixed by one number, the + * sun's ecliptic longitude — the far cap looks at the antisolar point, and that walks + * round the ecliptic once a year. Roll about the axis is not fixed by anything outside: + * inside it is the spin, and outside this code puts **ecliptic north up** (scene +Y), + * which is the one choice that is square to the axis on every day of the year. + * + * Scene frame, as everywhere in the 3D views: +Z runs from the sun cap to the far cap, + * so the sun is at −Z. The matrix here takes a direction in that frame to J2000 + * equatorial coordinates, the frame the star catalogue is written in. + * + * Nothing in here knows about Three.js, so it is tested directly (test/celestial.test.ts). + */ + +const RAD = Math.PI / 180 +/** Obliquity of the ecliptic at J2000. It drifts 47″ a century, which nobody can see. */ +const OBLIQUITY = 23.4392911 * RAD +/** General precession in ecliptic longitude, per Julian year. */ +const PRECESSION_PER_YEAR = (50.29 / 3600) * RAD +const J2000_MS = Date.UTC(2000, 0, 1, 12) +const DAY_MS = 86_400_000 + +/** + * The sun's apparent ecliptic longitude at an instant, radians, of date. The + * Astronomical Almanac's low-precision formula: good to 0.01° between 1950 and 2050, + * a fiftieth of the sun's own width. + */ +export function sunLongitude(at: Date): number { + const n = (at.getTime() - J2000_MS) / DAY_MS + const L = 280.46 + 0.9856474 * n + const g = (357.528 + 0.9856003 * n) * RAD + const lambda = (L + 1.915 * Math.sin(g) + 0.02 * Math.sin(2 * g)) * RAD + return ((lambda % (2 * Math.PI)) + 2 * Math.PI) % (2 * Math.PI) +} + +/** + * Scene direction → J2000 equatorial direction at an instant, as a row-major 3×3. + * + * Built in the ecliptic: the axis points away from the sun, and ecliptic north is up. + * The sun's longitude is of date and the catalogue's are of J2000, so the sun is moved + * back by the precession since then rather than every star forward by it — a third of + * a degree by 2026, which is the width of the moon. + */ +export function skyFrame(at: Date): number[] { + const years = (at.getTime() - J2000_MS) / (365.25 * DAY_MS) + const lam = sunLongitude(at) - PRECESSION_PER_YEAR * years + // The scene's axes written in J2000 ecliptic coordinates. X = Y × Z, so the frame is + // right-handed like the scene's and the sky is not drawn mirrored. + const X = [Math.sin(lam), -Math.cos(lam), 0] + const Y = [0, 0, 1] + const Z = [-Math.cos(lam), -Math.sin(lam), 0] + const c = Math.cos(OBLIQUITY) + const s = Math.sin(OBLIQUITY) + // Ecliptic → equatorial is a turn about the equinox direction by the obliquity. + const toEq = (v: number[]) => [v[0]!, v[1]! * c - v[2]! * s, v[1]! * s + v[2]! * c] + const cols = [toEq(X), toEq(Y), toEq(Z)] + return [0, 1, 2].flatMap((row) => cols.map((col) => col[row]!)) +} + +/** A J2000 unit vector from right ascension and declination, degrees. */ +export function equatorial(raDeg: number, decDeg: number): [number, number, number] { + const a = raDeg * RAD + const d = decDeg * RAD + return [Math.cos(d) * Math.cos(a), Math.cos(d) * Math.sin(a), Math.sin(d)] +} + +// ------------------------------------------------------------------ the bake + +/** + * Cells along a cube face's edge. A cell is a third of a degree across at the middle + * of a face and a seventh at its corners, where 9,000 stars 2° apart on average almost + * never share one. + */ +export const STAR_FACE_CELLS = 256 +/** A face's grid with one cell of border all round (see `bakeStars`). */ +export const STAR_FACE_SIZE = STAR_FACE_CELLS + 2 +/** The faintest star in the catalogue is about this; its flux is 1. */ +const MAG_LIMIT = 6.5 + +/** + * Which cube face a direction falls on, and where: face = 2·axis + (negative ? 1 : 0), + * and (u, v) in −1..1 across it. Each axis takes the next two round as its u and v — + * x: (y, z), y: (z, x), z: (x, y) — and STAR_GLSL uses the same rule, so the two agree + * on every face without either needing the other's vectors. + */ +function project(d: readonly number[], axis: number): [number, number] { + const n = d[axis]! + return [d[(axis + 1) % 3]! / Math.abs(n), d[(axis + 2) % 3]! / Math.abs(n)] +} + +/** + * The catalogue as a texture the sky shader can look stars up in: six cube faces, each a + * grid of cells, each cell holding at most one star as (u, v, flux, B−V) — its position on + * that face, its brightness relative to the faintest the eye can see, and its colour. + * + * A shader cannot loop over 9,000 stars per pixel, but it can look in the nine cells + * round the one it is in. At a face's edge some of those nine are on the next face, so + * every grid has a border of one cell holding the neighbouring faces' stars projected + * onto this one — a star near an edge is baked twice, once in each face's own terms, and + * a pixel only ever reads the face it is on, so it is never counted twice. + * + * Two stars in one cell are a double the eye would not split: their light is added, + * and the brighter one's place and colour kept. + * + * `stars` is the catalogue's flat [raDeg, decDeg, vmag, bv, …]. Returns RGBA float + * texels, STAR_FACE_SIZE wide and 6 × STAR_FACE_SIZE tall, face by face. + */ +export function bakeStars(stars: readonly number[]): Float32Array { + const S = STAR_FACE_SIZE + const out = new Float32Array(S * S * 6 * 4) + const brightest = new Float32Array(S * S * 6) + for (let i = 0; i + 3 < stars.length; i += 4) { + const d = equatorial(stars[i]!, stars[i + 1]!) + const flux = 10 ** (-0.4 * (stars[i + 2]! - MAG_LIMIT)) + for (let axis = 0; axis < 3; axis++) { + if (d[axis] === 0) continue + const face = 2 * axis + (d[axis]! < 0 ? 1 : 0) + const [u, v] = project(d, axis) + const cu = Math.floor(((u + 1) / 2) * STAR_FACE_CELLS) + 1 + const cv = Math.floor(((v + 1) / 2) * STAR_FACE_CELLS) + 1 + if (cu < 0 || cu >= S || cv < 0 || cv >= S) continue + const cell = (face * S + cv) * S + cu + const o = cell * 4 + if (flux > brightest[cell]!) { + brightest[cell] = flux + out[o] = u + out[o + 1] = v + out[o + 3] = stars[i + 3]! + } + out[o + 2] = out[o + 2]! + flux + } + } + return out +} diff --git a/src/world/sky.ts b/src/world/sky.ts index f6daa04..5f37148 100644 --- a/src/world/sky.ts +++ b/src/world/sky.ts @@ -54,6 +54,8 @@ export interface Sky { /** What the world's light amounts to, W/m² mean, for the eye's adaptation. */ watts: number dial: Dial + /** The real instant, ms since 1970 UTC: what the stars behind Tower are set by (celestial.ts). */ + at: number } // ---------------------------------------------------------------------- calendar @@ -157,9 +159,27 @@ export function skyAt(cal: Calendar, hours: number, dial: Dial): Sky { power, watts: night + (DIALS[dial] - night) * power, dial, + at: instantOf(cal, day, hourOfDay), } } +/** + * The real instant of a moment on the city's clock. The offset is the one at the day's + * noon, as in `sunTimes`: on the two nights a year the clocks change it is an hour out + * for a few hours, which moves the stars by a twenty-fourth of a degree. + */ +function instantOf(cal: Calendar, day: number, hourOfDay: number): number { + const key = `${cal.timeZone}|${cal.day0}|${day}` + let offset = offsetCache.get(key) + if (offset === undefined) { + offset = utcOffsetH(cal.timeZone, new Date(dateOf(cal, day).getTime() + 12 * 3_600_000)) + if (offsetCache.size > 512) offsetCache.clear() + offsetCache.set(key, offset) + } + return dateOf(cal, day).getTime() + (hourOfDay - offset) * 3_600_000 +} +const offsetCache = new Map<string, number>() + /** * Tower's time at a real instant: the calendar city's date and clock then, as hours since * day 0 began (D-074). Before day 0 it is day 0's first moment — the calendar has no past. diff --git a/test/celestial.test.ts b/test/celestial.test.ts new file mode 100644 index 0000000..312acb3 --- /dev/null +++ b/test/celestial.test.ts @@ -0,0 +1,104 @@ +import { describe, expect, it } from 'vitest' +import { + STAR_FACE_SIZE, bakeStars, equatorial, skyFrame, sunLongitude, +} from '../src/world/celestial.js' +import catalog from '../src/data/bright-stars.json' + +const DEG = Math.PI / 180 +const apply = (m: number[], v: number[]) => + [0, 1, 2].map((r) => m[3 * r]! * v[0]! + m[3 * r + 1]! * v[1]! + m[3 * r + 2]! * v[2]!) +const angleDeg = (a: number[], b: number[]) => + Math.acos(Math.min(1, a[0]! * b[0]! + a[1]! * b[1]! + a[2]! * b[2]!)) / DEG +/** Precession from J2000 to mid-2026, in ecliptic longitude: the sun's offset from the catalogue's frame. */ +const P2026 = (50.29 / 3600) * 26.4 +/** A J2000 unit vector from ecliptic longitude and latitude, degrees. */ +const ecliptic = (lon: number, lat: number) => { + const e = 23.4392911 * DEG + const x = Math.cos(lat * DEG) * Math.cos(lon * DEG) + const y = Math.cos(lat * DEG) * Math.sin(lon * DEG) + const z = Math.sin(lat * DEG) + return [x, y * Math.cos(e) - z * Math.sin(e), y * Math.sin(e) + z * Math.cos(e)] +} + +describe('the sky behind Tower (D-075)', () => { + it("puts the sun where the almanac does", () => { + // 2026's March equinox, 14:46 UTC, and June solstice, 08:24 UTC. + expect(sunLongitude(new Date(Date.UTC(2026, 2, 20, 14, 46))) / DEG).toBeCloseTo(0, 1) + expect(sunLongitude(new Date(Date.UTC(2026, 5, 21, 8, 24))) / DEG).toBeCloseTo(90, 1) + }) + + it('is a rotation, not a mirror', () => { + const m = skyFrame(new Date(Date.UTC(2026, 8, 27))) + const det = m[0]! * (m[4]! * m[8]! - m[5]! * m[7]!) + - m[1]! * (m[3]! * m[8]! - m[5]! * m[6]!) + + m[2]! * (m[3]! * m[7]! - m[4]! * m[6]!) + expect(det).toBeCloseTo(1, 9) + }) + + it('points the sun cap at the sun and the far cap away from it', () => { + const at = new Date(Date.UTC(2026, 5, 21, 8, 24)) + const m = skyFrame(at) + expect(angleDeg(apply(m, [0, 0, -1]), ecliptic(90 - P2026, 0))).toBeLessThan(0.02) + expect(angleDeg(apply(m, [0, 0, 1]), ecliptic(270 - P2026, 0))).toBeLessThan(0.02) + }) + + it('keeps ecliptic north up, whatever the day', () => { + for (const month of [0, 3, 6, 9]) { + const m = skyFrame(new Date(Date.UTC(2026, month, 1))) + expect(angleDeg(apply(m, [0, 1, 0]), ecliptic(0, 90))).toBeLessThan(1e-6) + } + }) + + it('shows Orion from the far cap in December', () => { + // At the December solstice the far cap looks at RA 6h, Dec +23°: Betelgeuse is 16° off. + const m = skyFrame(new Date(Date.UTC(2026, 11, 21, 20, 50))) + const betelgeuse = equatorial(88.79, 7.41) + expect(angleDeg(apply(m, [0, 0, 1]), betelgeuse)).toBeLessThan(17) + expect(angleDeg(apply(m, [0, 0, -1]), betelgeuse)).toBeGreaterThan(163) + }) +}) + +describe('the star catalogue', () => { + const stars = catalog.stars + it('holds the naked-eye sky, Sirius brightest', () => { + expect(stars.length / 4).toBeGreaterThan(9000) + let brightest = 0 + for (let i = 4; i < stars.length; i += 4) if (stars[i + 2]! < stars[brightest + 2]!) brightest = i + // Sirius: RA 6h 45m 09s, Dec −16° 43′, V −1.46. + expect(stars[brightest]).toBeCloseTo(101.29, 1) + expect(stars[brightest + 1]).toBeCloseTo(-16.72, 1) + expect(stars[brightest + 2]).toBeCloseTo(-1.46, 2) + }) +}) + +describe('the star bake', () => { + const S = STAR_FACE_SIZE + const texel = (t: Float32Array, face: number, cu: number, cv: number) => + Array.from(t.subarray(((face * S + cv) * S + cu) * 4, ((face * S + cv) * S + cu) * 4 + 4)) + + it('files a star under its face and cell', () => { + // RA 0, Dec 0 is +x, the middle of face 0. + const t = bakeStars([0, 0, 6.5, 0.4]) + const [u, v, flux, bv] = texel(t, 0, S / 2, S / 2) + expect([u, v]).toEqual([0, 0]) + expect(flux).toBeCloseTo(1, 6) + expect(bv).toBeCloseTo(0.4, 6) + }) + + it('bakes a star by an edge into both faces, once each', () => { + // Just past 45° from +x toward +y: on face 2 (+y), in face 0's border. + const t = bakeStars([45.05, 0, 1, 0]) + let copies = 0 + for (let i = 2; i < t.length; i += 4) if (t[i]! > 0) copies++ + expect(copies).toBe(2) + }) + + it("adds a close double's light and keeps the brighter's place", () => { + const t = bakeStars([0, 0, 6.5, 1.5, 0.01, 0, 5.0, -0.1]) + const lit = [] as number[][] + for (let i = 0; i < t.length; i += 4) if (t[i + 2]! > 0) lit.push(Array.from(t.subarray(i, i + 4))) + expect(lit).toHaveLength(1) + expect(lit[0]![2]).toBeCloseTo(1 + 10 ** 0.6, 4) + expect(lit[0]![3]).toBeCloseTo(-0.1, 6) + }) +}) diff --git a/tools/bright-stars.mjs b/tools/bright-stars.mjs new file mode 100644 index 0000000..fd4db39 --- /dev/null +++ b/tools/bright-stars.mjs @@ -0,0 +1,44 @@ +/** + * Builds src/data/bright-stars.json from the Yale Bright Star Catalogue, 5th revised + * edition (Hoffleit & Warren 1991, CDS catalogue V/50): every star to about magnitude + * 6.5, which is every star the naked eye can see from Earth's darkest sites. + * + * node tools/bright-stars.mjs + * + * Kept is what the sky shader needs and nothing more: J2000 position, V magnitude and + * B−V colour. The fourteen entries with no position (novae and non-stellar objects the + * catalogue retired) are dropped; a missing B−V is written as 0.6, a sun-like white. + */ +import { writeFileSync } from 'node:fs' +import { gunzipSync } from 'node:zlib' + +const URL_BSC5 = 'https://cdsarc.cds.unistra.fr/ftp/V/50/catalog.gz' +const OUT = new URL('../src/data/bright-stars.json', import.meta.url) + +const res = await fetch(URL_BSC5) +if (!res.ok) throw new Error(`${URL_BSC5}: ${res.status}`) +const text = gunzipSync(Buffer.from(await res.arrayBuffer())).toString('latin1') + +// Byte ranges from the catalogue's ReadMe, 1-based and inclusive. +const col = (line, from, to) => line.slice(from - 1, to).trim() +const stars = [] +for (const line of text.split('\n')) { + const rah = col(line, 76, 77) + if (!rah) continue + const ra = 15 * (Number(rah) + Number(col(line, 78, 79)) / 60 + Number(col(line, 80, 83)) / 3600) + const sign = col(line, 84, 84) === '-' ? -1 : 1 + const dec = sign * (Number(col(line, 85, 86)) + Number(col(line, 87, 88)) / 60 + Number(col(line, 89, 90)) / 3600) + const vmag = Number(col(line, 103, 107)) + const bvText = col(line, 110, 114) + const bv = bvText ? Number(bvText) : 0.6 + if (![ra, dec, vmag, bv].every(Number.isFinite)) continue + stars.push(+ra.toFixed(4), +dec.toFixed(4), +vmag.toFixed(2), +bv.toFixed(2)) +} + +writeFileSync(OUT, JSON.stringify({ + source: 'Yale Bright Star Catalogue, 5th revised ed. (Hoffleit & Warren 1991), CDS V/50', + fields: ['raDeg', 'decDeg', 'vmag', 'bv'], + equinox: 'J2000', + stars, +}) + '\n') +console.log(`${stars.length / 4} stars → ${OUT.pathname}`)