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its glyph, `path` the glyph (24 by 24, stroked). const apps = [ { id: "post", label: "Post", glaze: "#163f93", ink: "#efe6d3", line: "Four letters waiting, one from the framer about Thursday.", path: "M4 7h16v11H4z M4.5 7.5l7.5 6 7.5-6" }, { id: "days", label: "Calendar", glaze: "#8c2219", ink: "#f1e7d4", line: "Kiln opening at eleven, then lunch on the bench outside.", path: "M5 6h14v13H5z M5 10.5h14 M9 3.5v4 M15 3.5v4 M9 14.5h.01 M12 14.5h.01 M15 14.5h.01" }, { id: "lens", label: "Camera", glaze: "#1b1d20", ink: "#e9e1d1", line: "Morning light on the glaze test tiles, twelve frames.", path: "M5 12a7 7 0 1 0 14 0a7 7 0 1 0 -14 0 M9.2 12a2.8 2.8 0 1 0 5.6 0a2.8 2.8 0 1 0 -5.6 0" }, { id: "notes", label: "Notes", glaze: "#d49a2c", ink: "#3b230c", line: "Three drafts since Monday and a list of glaze weights.", path: "M6 7h12 M6 12h12 M6 17h7" }, { id: "tunes", label: "Music", glaze: "#8fb5a0", ink: "#163a2c", line: "A slow record for the afternoon throw, side two.", path: "M9.5 17V6.5l8.5-2v10.5 M9.5 17a2.2 2.2 0 1 1 -4.4 0a2.2 2.2 0 1 1 4.4 0 M18 15a2.2 2.2 0 1 1 -4.4 0a2.2 2.2 0 1 1 4.4 0" }, { id: "tune", label: "Settings", glaze: "#ebe4d6", ink: "#173d8a", line: "Night shift from nine, and the studio printer is paired.", path: "M4.5 8h15 M4.5 16h15 M7 8a2.2 2.2 0 1 0 4.4 0a2.2 2.2 0 1 0 -4.4 0 M12.6 16a2.2 2.2 0 1 0 4.4 0a2.2 2.2 0 1 0 -4.4 0" }, ]; const N = apps.length; const PAPER = "#e7e1d7"; // the limestone desk as a screen colour, for the frame and the still picture const FONT = '"Inter Tight", "Inter", ui-sans-serif, system-ui, -apple-system, "Segoe UI", sans-serif'; // Scene sizes in shader units. Each icon is a 1 by 1 tile; GAP is the space between tiles; the tray is milled from one bar. const GAP = 0.22, FL = 0.08, TH = 0.3, TD = 0.6, WW = 0.12, LEAN = 0.12, PAD = 0.42; const MAG = 0.62, REACH = 1.45; // how much the tile under the pointer grows, and how far the swell spreads const lin = (hex: string) => [1, 3, 5].map((i) => Math.pow(parseInt(hex.slice(i, i + 2), 16) / 255, 2.2)); const v3 = (c: number[]) => `vec3(${c.map((n) => n.toFixed(4)).join(", ")})`; const pick = (key: "glaze" | "ink", name: string) => `vec3 ${name}(float i){ ${apps.map((a, i) => `if (i < ${i}.5) return ${v3(lin(a[key]))};`).join(" ")} return vec3(0.5); }`; const VERT = `ATTR vec2 aPos; void main(){ gl_Position = vec4(aPos, 0.0, 1.0); }`; const TONE = ` vec3 tone(vec3 x){ vec3 c = 1.0 - exp(-max(x, 0.0) * 1.05); c = mix(c, c * c * (3.0 - 2.0 * c), 0.3); return pow(c, vec3(1.0 / 2.2)); } `; const SCENE = ` precision highp float; uniform vec2 uRes; uniform vec4 uJit; uniform float uSeed; uniform float uDirect; uniform vec3 uCam; uniform vec3 uTgt; uniform float uFoc; uniform float uFocus; uniform vec2 uShift; uniform vec4 uIcon[${N}]; uniform vec4 uTray; uniform vec3 uSun; uniform sampler2D uTex; const float IH = 0.5; const float IT = 0.13; const float IR = 0.225; const float IB = 0.075; const float FL = ${FL.toFixed(3)}; const float TH = ${TH.toFixed(3)}; const float TD = ${TD.toFixed(3)}; const float WW = ${WW.toFixed(3)}; const float LEAN = ${LEAN.toFixed(3)}; const float WALLZ = 7.0; const float NI = ${N}.0; const vec3 SUNC = vec3(1.0, 0.9, 0.78); const float SUNI = 3.3; const vec3 STONE = vec3(0.74, 0.7, 0.63); ${pick("glaze", "glazeC")} ${pick("ink", "inkC")} ${TONE} float h21(vec2 p){ vec3 q = fract(vec3(p.xyx) * 0.1031); q += dot(q, q.yzx + 33.33); return fract((q.x + q.y) * q.z); } float n2(vec2 x){ vec2 i = floor(x); vec2 f = fract(x); f = f * f * (3.0 - 2.0 * f); return mix(mix(h21(i), h21(i + vec2(1.0, 0.0)), f.x), mix(h21(i + vec2(0.0, 1.0)), h21(i + vec2(1.0, 1.0)), f.x), f.y); } float fbm(vec2 p){ return 0.5 * n2(p) + 0.25 * n2(p * 2.03 + 7.1) + 0.125 * n2(p * 4.01 + 3.3) + 0.0625 * n2(p * 8.1 + 1.7); } float sdRBox(vec3 p, vec3 b, float r){ vec3 d = abs(p) - b + r; return length(max(d, 0.0)) + min(max(d.x, max(d.y, d.z)), 0.0) - r; } float smax(float a, float b, float k){ float h = max(k - abs(a - b), 0.0) / k; return max(a, b) + h * h * k * 0.25; } // A glazed tile: a rounded square slab with soft, dipped edges. float sdIcon(vec3 q){ vec2 a = abs(q.xy) - vec2(IH - IR); float d2 = length(max(a, 0.0)) + min(max(a.x, a.y), 0.0) - IR; vec2 w = vec2(d2 + IB, abs(q.z) - IT + IB); return min(max(w.x, w.y), 0.0) + length(max(w, 0.0)) - IB; } vec4 iconAt(float id){ vec4 c = uIcon[0]; ${apps.map((_, i) => (i ? `if (id > ${i - 1}.5) c = uIcon[${i}];` : "")).join(" ")} return c; } // World to tile space: each tile stands on the pocket floor, leans back a little, and grows from its foot. vec3 iLocal(vec3 p, vec4 ic){ vec3 q = (p - vec3(ic.x, FL + ic.y, 0.02)) / ic.z; float c = cos(LEAN); float s = sin(LEAN); q = vec3(q.x, q.y * c + q.z * s, -q.y * s + q.z * c); q.y -= IH; return q; } vec3 iWorldDir(vec3 v){ float c = cos(LEAN); float s = sin(LEAN); return vec3(v.x, v.y * c - v.z * s, v.y * s + v.z * c); } float dBound(vec3 p, vec4 ic){ vec3 c = vec3(ic.x, FL + ic.y + 0.52 * ic.z, 0.08 * ic.z); vec3 b = vec3(0.54, 0.58, 0.28) * ic.z + 0.02; vec3 d = abs(p - c) - b; return length(max(d, 0.0)) + min(max(d.x, max(d.y, d.z)), 0.0); } float dTray(vec3 p){ float o = sdRBox(p - vec3(0.0, TH * 0.5, 0.0), vec3(uTray.x, TH * 0.5, TD), 0.07); float k = sdRBox(p - vec3(0.0, FL + 1.0, 0.0), vec3(uTray.x - WW, 1.0, TD - WW), 0.07); return smax(o, -k, 0.025); } vec2 map(vec3 p, float lim){ vec2 r = vec2(dTray(p), NI); for (int i = 0; i < ${N}; i++) { vec4 ic = uIcon[i]; float bb = dBound(p, ic); float d = bb > lim ? bb : sdIcon(iLocal(p, ic)) * ic.z; if (d < r.x) r = vec2(d, float(i)); } return r; } float mapS(vec3 p){ return map(p, 0.6).x; } vec3 nMap(vec3 p){ vec2 e = vec2(0.0012, -0.0012); return normalize(e.xyy * mapS(p + e.xyy) + e.yyx * mapS(p + e.yyx) + e.yxy * mapS(p + e.yxy) + e.xxx * mapS(p + e.xxx)); } vec2 march(vec3 ro, vec3 rd, float tmax, int steps){ vec3 lo = vec3(-uTray.x - 0.12, -0.01, -TD - 0.3); vec3 hi = vec3(uTray.x + 0.12, 3.2, 1.0); vec3 inv = 1.0 / (rd + vec3(1e-6)); vec3 t0 = (lo - ro) * inv; vec3 t1 = (hi - ro) * inv; vec3 mn = min(t0, t1); vec3 mx = max(t0, t1); float tn = max(max(mn.x, mn.y), max(mn.z, 0.0)); float tf = min(min(mx.x, mx.y), min(mx.z, tmax)); if (tn > tf) return vec2(-1.0); float t = tn; for (int i = 0; i < 110; i++) { if (i >= steps) break; vec2 h = map(ro + rd * t, 0.12); if (h.x < 0.0007) return vec2(t, h.y); t += h.x; if (t > tf) break; } return vec2(-1.0); } // The desk and the wall behind it are flat, so they are hit exactly. float hitStatic(vec3 ro, vec3 rd, out vec3 n){ float t = 1e9; n = vec3(0.0, 1.0, 0.0); if (rd.y < 0.0) { float ty = -ro.y / rd.y; if (ty > 0.0) t = ty; } if (rd.z > 0.0) { float tw = (WALLZ - ro.z) / rd.z; if (tw > 0.0 && tw < t) { t = tw; n = vec3(0.0, 0.0, -1.0); } } return t; } // Daylight through a tall window off to the left: the panes and glazing bars fall across the desk. float windowLight(vec3 p){ vec3 u = normalize(cross(uSun, vec3(0.0, 1.0, 0.0))); vec3 v = cross(u, uSun); vec2 w = vec2(dot(p, u), dot(p, v)) - vec2(1.2, 0.2); float open = smoothstep(0.5, -0.5, max(abs(w.x) - 7.5, abs(w.y) - 5.0)); vec2 g = abs(fract(w / vec2(6.2, 4.6) + 0.5) - 0.5) * vec2(6.2, 4.6); return open * (0.2 + 0.8 * smoothstep(0.02, 0.16, g.x) * smoothstep(0.02, 0.16, g.y)); } float gJit = 0.5; float softShadow(vec3 ro){ float res = 1.0; float t = 0.01 + 0.03 * gJit; for (int i = 0; i < 46; i++) { float h = mapS(ro + uSun * t); res = min(res, 10.0 * h / t); t += clamp(h, 0.01, 0.14) * (0.85 + 0.3 * gJit); if (res < 0.003 || t > 5.0) break; } res = clamp(res, 0.0, 1.0); return res * res * (3.0 - 2.0 * res); } float occl(vec3 p, vec3 n){ float o = 0.0; float w = 1.0; for (int i = 1; i < 6; i++) { float h = 0.03 * float(i * i) + 0.008; o += w * (h - mapS(p + n * h)); w *= 0.6; } return clamp(1.0 - 2.4 * o, 0.0, 1.0); } // The room the glaze and metal mirror: a bright window on the left, pale walls, a darker floor. vec3 env(vec3 rd){ float el = asin(clamp(rd.y, -1.0, 1.0)); float az = atan(rd.x, -rd.z); vec3 c = mix(vec3(0.26, 0.23, 0.2), vec3(0.78, 0.78, 0.8), smoothstep(-0.35, 0.55, rd.y)); vec2 w = vec2(az + 0.75, el - 0.32); float fr = smoothstep(0.02, -0.02, max(abs(w.x) - 0.5, abs(w.y) - 0.42)); vec2 g = abs(fract(w / vec2(0.33, 0.28) + 0.5) - 0.5) * vec2(0.33, 0.28); c += vec3(1.0, 0.98, 0.94) * 7.0 * fr * smoothstep(0.008, 0.016, g.x) * smoothstep(0.008, 0.016, g.y) * (0.7 + 0.3 * smoothstep(-0.3, 0.4, w.y)); vec2 w2 = vec2(az - 0.9, el - 0.25); c += vec3(0.95, 0.97, 1.0) * 2.2 * smoothstep(0.08, -0.08, max(abs(w2.x) - 0.35, abs(w2.y) - 0.3)); // a broad overcast softbox above and behind the camera: the long highlight across every tile face vec2 w3 = vec2(az + 0.1, el - 0.62); c += vec3(1.0, 0.99, 0.97) * 3.2 * smoothstep(0.12, -0.12, max(abs(w3.x) - 1.1, abs(w3.y) - 0.14)); c += SUNC * 30.0 * smoothstep(0.996, 0.999, dot(rd, uSun)); return c; } // Limestone desk and a limewashed wall: mottled, lit by the window, with colour thrown off the glaze nearby. vec3 desk(vec3 p, vec3 n, float full){ vec2 pq = n.y > 0.5 ? p.xz : p.xy + vec2(0.0, 9.0); float mott = fbm(pq * 0.9) - 0.5; float fine = n2(pq * 70.0) - 0.5; float vein = fbm(pq * vec2(0.6, 2.4) + mott * 2.0); vec3 alb = STONE * (1.0 + 0.1 * mott + 0.035 * fine) * (1.0 - 0.07 * smoothstep(0.55, 0.62, vein)); if (n.z < -0.5) alb = vec3(0.84, 0.76, 0.66) * (1.0 + 0.06 * mott) * (0.8 + 0.25 * smoothstep(0.0, 5.0, p.y)); float ndl = max(dot(n, uSun), 0.0); float win = windowLight(p); float sh = 1.0; float ao = 1.0; if (full > 0.5 && n.y > 0.5) { if (win > 0.02) sh = softShadow(p + n * 0.003); ao = occl(p, n); } vec3 sky = mix(vec3(0.62, 0.58, 0.53), vec3(0.76, 0.8, 0.88), 0.5 + 0.5 * n.y); vec3 col = alb * (SUNC * SUNI * ndl * win * sh + sky * 0.95 * ao); if (full > 0.5 && n.y > 0.5) { for (int i = 0; i < ${N}; i++) { vec4 ic = uIcon[i]; if (dBound(p, ic) > 1.0) continue; float d = max(sdIcon(iLocal(p, ic)) * ic.z, 0.0); col += glazeC(float(i)) * alb * 0.35 * exp(-d * 10.0) * (0.3 + 0.7 * win); } } // a quiet sheen on the honed stone where the window reflects float nv = max(n.y, 0.0); return col + env(reflect(normalize(p - uCam), n)) * 0.02 * nv * (full > 0.5 ? ao : 1.0); } vec3 stage(vec3 ro, vec3 rd){ vec3 n; float t = hitStatic(ro, rd, n); if (t > 1e8) return env(rd); return desk(ro + rd * t, n, 0.0); } vec3 nIcon(vec3 q){ vec2 e = vec2(0.001, -0.001); return normalize(e.xyy * sdIcon(q + e.xyy) + e.yyx * sdIcon(q + e.yyx) + e.yxy * sdIcon(q + e.yxy) + e.xxx * sdIcon(q + e.xxx)); } // What a reflection meets: a tile (shaded simply), the tray again, or the room. vec3 traceRefl(vec3 ro, vec3 rd){ vec2 h = march(ro, rd, 12.0, 44); if (h.x < 0.0) return stage(ro, rd); vec3 p = ro + rd * h.x; if (h.y < NI - 0.5) { vec4 ic = iconAt(h.y); vec3 n = iWorldDir(nIcon(iLocal(p, ic))); return glazeC(h.y) * (vec3(0.7, 0.72, 0.76) * (0.5 + 0.5 * n.y) + SUNC * 1.6 * max(dot(n, uSun), 0.0)) + env(reflect(rd, n)) * 0.06; } return env(rd) * vec3(0.55, 0.56, 0.58); } // Glazed stoneware: glossy, deep colour, pale where the glaze breaks thin over an edge, raised enamel glyph. vec3 shadeIcon(vec3 p, vec3 rd, float id, vec2 rnd){ vec4 ic = iconAt(id); vec3 q = iLocal(p, ic); vec3 nl = nIcon(q); float edge = smoothstep(0.12, 0.42, 1.0 - max(abs(nl.x), max(abs(nl.y), abs(nl.z)))); float front = smoothstep(0.7, 0.95, -nl.z); vec2 uv = clamp(q.xy / (2.0 * IH) + 0.5, 0.0, 1.0); vec2 au = vec2((id + uv.x) / NI, 1.0 - uv.y); float du = 0.004; float h = TEXL(uTex, au, 0.0).r * front; float hx = (TEXL(uTex, au + vec2(du / NI, 0.0), 0.0).r - TEXL(uTex, au - vec2(du / NI, 0.0), 0.0).r) * front; float hy = (TEXL(uTex, au - vec2(0.0, du), 0.0).r - TEXL(uTex, au + vec2(0.0, du), 0.0).r) * front; vec2 wq = q.xy * 1.6 + id * 3.7; float wv = fbm(wq); float wx = fbm(wq + vec2(0.04, 0.0)) - wv; float wy = fbm(wq + vec2(0.0, 0.04)) - wv; vec3 nb = normalize(nl - vec3(hx, hy, 0.0) * 1.3 + vec3(wx, wy, 0.0) * 0.16 * (1.0 - edge)); vec3 n = iWorldDir(nb); vec3 G = glazeC(id); float run = fbm(vec2(q.x * 5.0 + id * 4.0, q.y * 1.3 + 0.5 * fbm(q.xy * 3.0))); vec3 alb = G * (0.84 + 0.3 * run); alb = mix(alb, mix(G, vec3(0.86, 0.78, 0.64), 0.45), edge * 0.8); alb *= 1.0 - 0.18 * smoothstep(0.1, 0.5, uv.y) * (1.0 - uv.y) * (1.0 - edge); float sp = h21(floor(q.xy * 150.0) + id * 13.0); alb *= 1.0 - 0.45 * step(0.988, sp); float g = smoothstep(0.3, 0.62, h); alb = mix(alb, inkC(id) * (0.95 + 0.08 * n2(q.xy * 40.0)), g); vec3 wp = p + n * 0.003; float ndl = dot(n, uSun); float win = windowLight(p); float sh = ndl > 0.0 ? softShadow(wp) : 0.0; float ao = occl(p, n); vec3 sky = mix(vec3(0.58, 0.54, 0.5), vec3(0.8, 0.84, 0.92), 0.5 + 0.5 * n.y); float wrap = max((ndl + 0.2) / 1.2, 0.0); vec3 dif = alb * (SUNC * SUNI * wrap * (0.35 + 0.65 * win) * sh + sky * 1.2 * ao); float nv = clamp(dot(-rd, n), 0.0, 1.0); float f = 0.045 + 0.955 * pow(1.0 - nv, 5.0); vec3 r = normalize(reflect(rd, n) + vec3(rnd, rnd.x) * 0.01); vec3 refl = traceRefl(wp, r) * (0.3 + 0.7 * ao); vec3 hv = normalize(uSun - rd); float nh = max(dot(n, hv), 0.0); float a2 = 0.003; float dd = nh * nh * (a2 - 1.0) + 1.0; float spec = a2 / (3.14159 * dd * dd); return dif * (1.0 - f) + refl * f + SUNC * SUNI * spec * 0.05 * max(ndl, 0.0) * sh; } // Milled aluminium: brushed along the bar on the outside, fly-cut arcs on the pocket floor, a lit dot under the open app. vec3 shadeTray(vec3 p, vec3 rd, vec2 rnd){ vec3 n = nMap(p); float floorP = step(p.y, FL + 0.012) * step(0.6, n.y); if (n.y > 0.6 && floorP < 0.5) n = normalize(n + vec3(0.0, 0.0, (n2(vec2(p.x * 2.0, p.z * 700.0)) - 0.5) * 0.05)); else if (n.z < -0.6) n = normalize(n + vec3(0.0, (n2(vec2(p.x * 2.0, p.y * 900.0)) - 0.5) * 0.05, 0.0)); if (floorP > 0.5) { float cx = mod(p.x, 0.36) - 0.18; float arc = length(vec2(cx, p.z + 0.9)); n = normalize(n + vec3(cx, 0.0, 0.0) * 0.0 + vec3(0.0, 0.0, sin(arc * 520.0) * 0.012 + (n2(vec2(arc * 300.0, p.x)) - 0.5) * 0.03)); } vec3 wp = p + n * 0.003; float ndl = dot(n, uSun); float win = windowLight(p); float sh = ndl > 0.0 ? softShadow(wp) : 0.0; float ao = occl(p, n); float nv = clamp(dot(-rd, n), 0.0, 1.0); vec3 F0 = vec3(0.9, 0.91, 0.92); vec3 F = F0 + (1.0 - F0) * pow(1.0 - nv, 5.0); float rough = floorP > 0.5 ? 0.11 : 0.07; vec3 r = normalize(reflect(rd, n) + (floorP > 0.5 ? vec3(rnd.x, rnd.y * 0.4, rnd.y) * rough : vec3(rnd.x * 0.3, rnd.y * 0.015, rnd.y * 0.02))); vec3 refl = traceRefl(wp, r) * (0.25 + 0.75 * ao); vec3 hv = normalize(uSun - rd); float nh = max(dot(n, hv), 0.0); float a2 = 0.02; float dd = nh * nh * (a2 - 1.0) + 1.0; float spec = a2 / (3.14159 * dd * dd); vec3 col = refl * F * 0.92 + F * SUNC * SUNI * spec * 0.12 * max(ndl, 0.0) * sh * (0.4 + 0.6 * win); // a little bead-blasted scatter keeps the shadow side from going black col += vec3(0.5, 0.51, 0.53) * (SUNC * SUNI * max(ndl, 0.0) * sh * win * 0.06 + 0.1 * ao); // glaze colour bounced onto the floor of the pocket if (floorP > 0.5) for (int i = 0; i < ${N}; i++) { vec4 ic = uIcon[i]; float d = max(sdIcon(iLocal(p, ic)) * ic.z, 0.0); col += glazeC(float(i)) * 0.16 * exp(-d * 12.0) * ao; } // the lamp: a small frosted dot set into the front lip, with its light spilling along the brushing if (p.y > TH - 0.02 && n.y > 0.5) { vec2 c = vec2(uTray.y, -TD + 0.06); vec2 d = (p.xz - c) * vec2(1.0, 1.0); float r0 = length(d); vec3 led = vec3(1.0, 0.5, 0.16); col *= 1.0 - 0.6 * smoothstep(0.058, 0.046, r0) * (1.0 - smoothstep(0.046, 0.038, r0)); col = mix(col, led * (3.5 + 6.0 * uTray.z), smoothstep(0.05, 0.036, r0)); col += led * uTray.z * (exp(-abs(d.x) * 9.0) * exp(-abs(d.y) * 50.0) * 0.8 + exp(-r0 * 22.0) * 1.0); } return col; } void main(){ vec2 fc = gl_FragCoord.xy + uJit.xy; vec2 uv = (fc - 0.5 * uRes) / uRes.y - uShift; vec3 fw = normalize(uTgt - uCam); vec3 rt = normalize(cross(vec3(0.0, 1.0, 0.0), fw)); vec3 up = cross(fw, rt); vec3 rd = normalize(fw * uFoc + rt * uv.x + up * uv.y); vec3 ro = uCam; vec3 fp = ro + rd * (uFocus / dot(rd, fw)); ro += rt * uJit.z + up * uJit.w; rd = normalize(fp - ro); float ign = fract(52.9829189 * fract(dot(gl_FragCoord.xy, vec2(0.06711056, 0.00583715))) + uSeed); gJit = ign; float ang = ign * 6.2831853; vec2 rnd = vec2(cos(ang), sin(ang)) * sqrt(fract(ign * 7.13 + uSeed * 3.7)) * step(0.001, uSeed); vec3 n; float ts = hitStatic(ro, rd, n); vec2 h = march(ro, rd, min(ts, 60.0), 110); vec3 col; if (h.x > 0.0) { vec3 p = ro + rd * h.x; col = h.y < NI - 0.5 ? shadeIcon(p, rd, h.y, rnd) : shadeTray(p, rd, rnd); } else col = ts < 1e8 ? desk(ro + rd * ts, n, 1.0) : env(rd); col = min(col, vec3(12.0)); if (uDirect > 0.5) col = tone(col); outC = vec4(col, 1.0); } `; // Developing the frame: bloom off the lamp and the glints, the film curve, a soft vignette and grain. const POST = ` precision highp float; uniform sampler2D uAcc; uniform vec2 uRes; uniform float uGrain; ${TONE} float h21(vec2 p){ vec3 q = fract(vec3(p.xyx) * 0.1031); q += dot(q, q.yzx + 33.33); return fract((q.x + q.y) * q.z); } void main(){ vec2 uv = gl_FragCoord.xy / uRes; vec3 c = texture2D(uAcc, uv).rgb; vec3 b = vec3(0.0); for (int i = 0; i < 20; i++) { float a = float(i) * 2.39996; float r = sqrt((float(i) + 0.5) / 20.0); vec3 s = texture2D(uAcc, uv + vec2(cos(a), sin(a)) * r * 0.022 * vec2(uRes.y / uRes.x, 1.0)).rgb; b += min(max(s - 2.6, 0.0), vec3(10.0)) * (1.0 - 0.7 * r); } c += b * 0.03; c += vec3(1.0, 0.86, 0.66) * 0.1 * smoothstep(1.2, 0.0, length((uv - vec2(-0.1, 1.1)) * vec2(uRes.x / uRes.y, 1.0) * 0.75)); vec2 q = (uv - 0.5) * vec2(uRes.x / uRes.y, 1.0); c *= 1.0 - 0.18 * smoothstep(0.45, 1.35, length(q)); c = tone(c); c += (h21(gl_FragCoord.xy + uGrain * 91.7) - 0.5) * 0.016; outC = vec4(c, 1.0); } `; // The raised glyphs, as a height plate: one square per app, white where the enamel stands proud. function glyphPlate() { const S = 256; const cv = document.createElement("canvas"); cv.width = S * N; cv.height = S; const g = cv.getContext("2d"); if (!g) return cv; g.fillStyle = "#000"; g.fillRect(0, 0, cv.width, cv.height); g.strokeStyle = "#fff"; g.fillStyle = "#fff"; g.lineCap = "round"; g.lineJoin = "round"; apps.forEach((a, i) => { g.save(); g.translate(S * i + S * 0.18, S * 0.18); g.scale((S * 0.64) / 24, (S * 0.64) / 24); g.filter = "blur(2.5px)"; g.lineWidth = 2.3; g.stroke(new Path2D(a.path)); g.restore(); }); return cv; } type Cam = { cam: number[]; fw: number[]; rt: number[]; up: number[]; foc: number; dist: number; tgt: number[]; shift: number }; const sub = (a: number[], b: number[]) => a.map((v, i) => v - b[i]); const dot = (a: number[], b: number[]) => a[0] * b[0] + a[1] * b[1] + a[2] * b[2]; const norm = (a: number[]) => { const l = Math.hypot(a[0], a[1], a[2]); return a.map((v) => v / l); }; const cross = (a: number[], b: number[]) => [a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2], a[0] * b[1] - a[1] * b[0]]; const REST_HALF = (N + (N - 1) * GAP) / 2; const restX = (i: number) => -REST_HALF + 0.5 + i * (1 + GAP); // One camera for the shader and the HTML over it, so each button sits on its tile. function camera(w: number, h: number, px = 0, py = 0): Cam { const desk = w >= 768, aspect = w / h; const dist = desk ? 11 : 15; const el = (desk ? 0.4 : 0.42) + py * 0.025, az = -0.1 + px * 0.05; const tgt = [0, 0.55, 0]; const foc = (dist * aspect * 0.5) / ((REST_HALF + PAD + 0.8) / (desk ? 0.76 : 0.82)); const cam = [tgt[0] + dist * Math.sin(az) * Math.cos(el), tgt[1] + dist * Math.sin(el), tgt[2] - dist * Math.cos(az) * Math.cos(el)]; const fw = norm(sub(tgt, cam)); const rt = norm(cross([0, 1, 0], fw)); const up = cross(fw, rt); return { cam, fw, rt, up, foc, dist, tgt, shift: desk ? -0.13 : -0.2 }; } function project(c: Cam, p: number[], w: number, h: number) { const d = sub(p, c.cam); const z = dot(d, c.fw); return [w / 2 + (dot(d, c.rt) / z) * c.foc * h, h / 2 - ((dot(d, c.up) / z) * c.foc + c.shift) * h]; } // Where a screen point meets the upright plane through the tiles (z = 0), in scene units. function unproject(c: Cam, x: number, y: number, w: number, h: number) { const ux = (x - w / 2) / h, uy = (h / 2 - y) / h - c.shift; const rd = [0, 1, 2].map((k) => c.fw[k] * c.foc + c.rt[k] * ux + c.up[k] * uy); const t = -c.cam[2] / rd[2]; return [c.cam[0] + rd[0] * t, c.cam[1] + rd[1] * t]; } // Where each tile sits for a given set of sizes: they push their neighbours aside as they swell. function layoutX(sc: number[]) { const widths = sc.map((s) => s), total = widths.reduce((a, b) => a + b, 0) + GAP * (N - 1); let x = -total / 2; return { xs: widths.map((wd) => { const c = x + wd / 2; x += wd + GAP; return c; }), half: total / 2 + PAD }; } // The box around a tile on screen, for its button. function tileBox(c: Cam, x: number, y: number, s: number, w: number, h: number) { const pts = [[x - s / 2, FL + y, -0.2], [x + s / 2, FL + y, -0.2], [x - s / 2, FL + y + s * Math.cos(LEAN), s * Math.sin(LEAN) - 0.2], [x + s / 2, FL + y + s * Math.cos(LEAN), s * Math.sin(LEAN) - 0.2]].map((p) => project(c, p, w, h)); const xs = pts.map((p) => p[0]), ys = pts.map((p) => p[1]); return { x: Math.min(...xs), y: Math.min(...ys), w: Math.max(...xs) - Math.min(...xs), h: Math.max(...ys) - Math.min(...ys) }; } // No WebGL: the same dock drawn flat through the same camera. function Still({ w, h, active }: { w: number; h: number; active: number }) { if (w < 2) return null; const c = camera(w, h); const sc = apps.map((_, i) => 1 + MAG * Math.exp(-Math.pow((restX(i) - restX(2)) / REACH, 2))); const { xs, half } = layoutX(sc); const P = (p: number[]) => project(c, p, w, h).map((v) => v.toFixed(1)).join(","); const poly = (pts: number[][]) => pts.map(P).join(" "); const top = poly([[-half, TH, -TD], [half, TH, -TD], [half, TH, TD], [-half, TH, TD]]); const front = poly([[-half, 0, -TD], [half, 0, -TD], [half, TH, -TD], [-half, TH, -TD]]); const dot0 = project(c, [xs[active], TH, -TD + 0.06], w, h); return ( ); } export default function GlazedStonewareAppDock() { const [active, setActive] = useState(2); const [shown, setShown] = useState<"wait" | "gl" | "still">("wait"); const [view, setView] = useState<[number, number]>([0, 0]); const [tip, setTip] = useState(-1); const stage = useRef(null); const canvas = useRef(null); const btns = useRef<(HTMLButtonElement | null)[]>([]); const tipEl = useRef(null); const api = useRef<{ open: (i: number, user: boolean) => void; hover: (i: number) => void } | null>(null); const activeRef = useRef(2); const open = (i: number, user = true) => { activeRef.current = i; setActive(i); api.current?.open(i, user); }; useEffect(() => { const box = stage.current, cv = canvas.current; if (!box || !cv) return; const reduce = window.matchMedia("(prefers-reduced-motion: reduce)").matches; let cssW = 1, cssH = 1; const s = { sc: apps.map(() => 1), sv: apps.map(() => 0), by: apps.map(() => 0), bv: apps.map(() => 0), hops: apps.map(() => 0), hx: restX(2) as number | null, sx: 0, sy: 0, px: 0, py: 0, dot: 2, glow: 1, dotX: restX(2), count: 0, fresh: true, frame: 0, slow: 0, visible: true, raf: 0, last: 0, t0: 0, touched: false, alive: true, focusI: -1, tip: -1, fpsN: 0, fpsT: 0, nextDemo: 0, demoStep: 0, }; // the first picture: the camera tile already swollen under a resting pointer s.sc = apps.map((_, i) => 1 + MAG * Math.exp(-Math.pow((restX(i) - restX(2)) / REACH, 2))); s.by = s.sc.map((v) => (v - 1) * 0.42); const place = () => { const c = camera(cssW, cssH, s.sx, s.sy); const { xs } = layoutX(s.sc); apps.forEach((_, i) => { const el = btns.current[i]; if (!el) return; const b = tileBox(c, xs[i], s.by[i], s.sc[i], cssW, cssH); el.style.transform = `translate(${(b.x - 4).toFixed(1)}px, ${(b.y - 4).toFixed(1)}px)`; el.style.width = `${(b.w + 8).toFixed(1)}px`; el.style.height = `${(b.h + 8).toFixed(1)}px`; }); const t = tipEl.current; if (t && s.tip >= 0) { const b = tileBox(c, xs[s.tip], s.by[s.tip], s.sc[s.tip], cssW, cssH); t.style.transform = `translate(${(b.x + b.w / 2).toFixed(1)}px, ${(b.y - 12).toFixed(1)}px) translate(-50%, -100%)`; } }; const setTipI = (i: number) => { if (s.tip !== i) { s.tip = i; setTip(i); } }; const resizeView = () => { const r = box.getBoundingClientRect(); cssW = Math.max(1, r.width); cssH = Math.max(1, r.height); setView([cssW, cssH]); place(); }; resizeView(); const opts = { antialias: false, alpha: false, powerPreference: "high-performance" as const }; const gl2 = cv.getContext("webgl2", opts) as WebGL2RenderingContext | null; const gl = (gl2 ?? cv.getContext("webgl", opts)) as WebGLRenderingContext | null; if (!gl) { setShown("still"); const r0 = new ResizeObserver(resizeView); r0.observe(box); return () => r0.disconnect(); } const canAcc = !!gl2 && (!!gl2.getExtension("EXT_color_buffer_float") || !!gl2.getExtension("EXT_color_buffer_half_float")); const info = gl.getExtension("WEBGL_debug_renderer_info"); const software = /swiftshader|llvmpipe|software|basic render/i.test(info ? String(gl.getParameter(info.UNMASKED_RENDERER_WEBGL)) : ""); const head = gl2 ? "#version 300 es\n#define ATTR in\n" : "#define ATTR attribute\n"; const fhead = gl2 ? "#version 300 es\n#define texture2D texture\n#define TEXL(s, uv, l) textureLod(s, uv, l)\nprecision highp float;\nout vec4 outC;\n" : "#define outC gl_FragColor\n#define TEXL(s, uv, l) texture2D(s, uv)\n"; const compile = (type: number, src: string) => { const sh = gl.createShader(type); if (!sh) return null; gl.shaderSource(sh, src); gl.compileShader(sh); if (!gl.getShaderParameter(sh, gl.COMPILE_STATUS)) { console.warn(gl.getShaderInfoLog(sh)); return null; } return sh; }; const link = (frag: string) => { const v = compile(gl.VERTEX_SHADER, head + VERT), f = compile(gl.FRAGMENT_SHADER, fhead + frag); const p = gl.createProgram(); if (!v || !f || !p) return null; gl.attachShader(p, v); gl.attachShader(p, f); gl.bindAttribLocation(p, 0, "aPos"); gl.linkProgram(p); return gl.getProgramParameter(p, gl.LINK_STATUS) ? p : null; }; const scene = link(SCENE), post = canAcc ? link(POST) : null; if (!scene || (canAcc && !post)) { setShown("still"); return; } const U = (p: WebGLProgram, n: string) => gl.getUniformLocation(p, n); const su = Object.fromEntries(["uRes", "uJit", "uSeed", "uDirect", "uCam", "uTgt", "uFoc", "uFocus", "uShift", "uIcon", "uTray", "uSun", "uTex"].map((n) => [n, U(scene, n)])); const pu = post ? Object.fromEntries(["uAcc", "uRes", "uGrain"].map((n) => [n, U(post, n)])) : {}; gl.bindBuffer(gl.ARRAY_BUFFER, gl.createBuffer()); gl.bufferData(gl.ARRAY_BUFFER, new Float32Array([-1, -1, 3, -1, -1, 3]), gl.STATIC_DRAW); gl.enableVertexAttribArray(0); gl.vertexAttribPointer(0, 2, gl.FLOAT, false, 0, 0); gl.activeTexture(gl.TEXTURE0); gl.bindTexture(gl.TEXTURE_2D, gl.createTexture()); gl.texImage2D(gl.TEXTURE_2D, 0, gl.LUMINANCE, gl.LUMINANCE, gl.UNSIGNED_BYTE, glyphPlate()); gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_MIN_FILTER, gl.LINEAR); gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_MAG_FILTER, gl.LINEAR); gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_WRAP_S, gl.CLAMP_TO_EDGE); gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_WRAP_T, gl.CLAMP_TO_EDGE); const acc = canAcc ? gl.createTexture() : null; const fbo = canAcc ? gl.createFramebuffer() : null; let W = 0, H = 0, scale = 1; const size = () => { const dpr = Math.min(software ? 1 : 1.5, window.devicePixelRatio || 1) * scale; const k = Math.min(1, Math.sqrt(1.3e6 / (cssW * cssH * dpr * dpr))); const w = Math.max(2, Math.round(cssW * dpr * k)), h = Math.max(2, Math.round(cssH * dpr * k)); if (w === W && h === H) return; W = w; H = h; cv.width = W; cv.height = H; if (gl2 && acc && fbo) { gl.activeTexture(gl.TEXTURE1); gl.bindTexture(gl.TEXTURE_2D, acc); gl2.texImage2D(gl.TEXTURE_2D, 0, gl2.RGBA16F, W, H, 0, gl.RGBA, gl2.HALF_FLOAT, null); gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_MIN_FILTER, gl.LINEAR); gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_MAG_FILTER, gl.LINEAR); gl.bindFramebuffer(gl.FRAMEBUFFER, fbo); gl.framebufferTexture2D(gl.FRAMEBUFFER, gl.COLOR_ATTACHMENT0, gl.TEXTURE_2D, acc, 0); gl.bindFramebuffer(gl.FRAMEBUFFER, null); gl.activeTexture(gl.TEXTURE0); } s.count = 0; s.fresh = true; }; const halton = (i: number, b: number) => { let f = 1, r = 0; while (i > 0) { f /= b; r += f * (i % b); i = Math.floor(i / b); } return r; }; const draw = (alpha: number, sample: number) => { const c = camera(cssW, cssH, s.sx, s.sy); const { xs, half } = layoutX(s.sc); const fd = dot(sub([0, 0.45, -0.3], c.cam), c.fw); const jx = sample ? halton(sample, 2) - 0.5 : 0, jy = sample ? halton(sample, 3) - 0.5 : 0; const la = halton(sample, 5) * Math.PI * 2, lr = sample ? Math.sqrt(halton(sample, 7)) * 0.16 : 0; gl.useProgram(scene); gl.bindFramebuffer(gl.FRAMEBUFFER, canAcc ? fbo : null); gl.viewport(0, 0, W, H); if (canAcc && alpha < 1) { gl.enable(gl.BLEND); gl.blendColor(0, 0, 0, alpha); gl.blendFunc(gl.CONSTANT_ALPHA, gl.ONE_MINUS_CONSTANT_ALPHA); } else gl.disable(gl.BLEND); gl.uniform2f(su.uRes, W, H); gl.uniform4f(su.uJit, canAcc ? jx : 0, canAcc ? jy : 0, canAcc ? Math.cos(la) * lr : 0, canAcc ? Math.sin(la) * lr : 0); gl.uniform1f(su.uSeed, canAcc && sample ? (sample * 0.61803) % 1 || 0.5 : 0); gl.uniform1f(su.uDirect, canAcc ? 0 : 1); gl.uniform3fv(su.uCam, c.cam); gl.uniform3fv(su.uTgt, c.tgt); gl.uniform1f(su.uFoc, c.foc); gl.uniform1f(su.uFocus, fd); gl.uniform2f(su.uShift, 0, c.shift); gl.uniform4fv(su.uIcon, apps.flatMap((_, i) => [xs[i], s.by[i], s.sc[i], 0])); s.dotX += (xs[s.dot] - s.dotX) * 0.35; gl.uniform4f(su.uTray, half, xs[s.dot], s.glow, 0); const sa = -1.62, se = 0.6; // the sun: from the left and a little behind, so shadows fall toward you gl.uniform3f(su.uSun, Math.sin(sa) * Math.cos(se), Math.sin(se), -Math.cos(sa) * Math.cos(se)); gl.uniform1i(su.uTex, 0); gl.drawArrays(gl.TRIANGLES, 0, 3); if (canAcc && post) { gl.bindFramebuffer(gl.FRAMEBUFFER, null); gl.disable(gl.BLEND); gl.useProgram(post); gl.activeTexture(gl.TEXTURE1); gl.bindTexture(gl.TEXTURE_2D, acc); gl.uniform1i(pu.uAcc, 1); gl.uniform2f(pu.uRes, W, H); gl.uniform1f(pu.uGrain, s.frame % 64); gl.drawArrays(gl.TRIANGLES, 0, 3); gl.activeTexture(gl.TEXTURE0); } }; // Opening an app: the tile hops twice and the lamp moves under it. api.current = { open: (i, user) => { if (user) s.touched = true; s.dot = i; s.glow = 1.6; if (!reduce) { s.bv[i] = 3.4; s.hops[i] = 2; } s.count = 0; s.fresh = true; wake(); }, hover: (i) => { s.focusI = i; if (i >= 0) { s.touched = true; s.hx = restX(i); setTipI(i); } else { s.hx = null; setTipI(-1); } wake(); }, }; const step = (dt: number, now: number) => { let moving = false; for (let i = 0; i < N; i++) { const target = s.hx === null ? 1 : 1 + MAG * Math.exp(-Math.pow((restX(i) - s.hx) / REACH, 2)); const n = 3; for (let k = 0; k < n; k++) { const h = dt / n; s.sv[i] += (-260 * (s.sc[i] - target) - 24 * s.sv[i]) * h; s.sc[i] += s.sv[i] * h; // the hop: thrown up, falls, lands back on its swell height with a smaller second hop const rest = (s.sc[i] - 1) * 0.42; if (s.by[i] > rest + 0.0005 || s.bv[i] > 0) { s.bv[i] -= 22 * h; s.by[i] += s.bv[i] * h; if (s.by[i] <= rest) { s.by[i] = rest; s.bv[i] = s.hops[i] > 1 ? 2.0 : 0; s.hops[i] = Math.max(0, s.hops[i] - 1); } } else { s.by[i] = rest; s.bv[i] = 0; } } if (Math.abs(s.sv[i]) > 0.002 || Math.abs(s.sc[i] - target) > 0.001 || s.bv[i] !== 0) moving = true; } if (s.glow > 1) { s.glow = Math.max(1, s.glow - dt * 1.2); moving = true; } void now; return moving; }; // Left alone, a pointer drifts along the dock now and then and opens what it rests on. const demo = (now: number) => { if (reduce || s.touched) return; const t = (now - s.t0) / 1000; if (t < 3.6) { s.hx = restX(2); return; } if (now < s.nextDemo) return; const seq = [restX(0) - 0.4, restX(1), restX(3), restX(5), null, restX(4), restX(4), null, restX(1), restX(2), null]; const v = seq[s.demoStep % seq.length]; if (v === null && s.hx !== null) { const i = Math.round((s.hx + REST_HALF - 0.5) / (1 + GAP)); if (i >= 0 && i < N) { activeRef.current = i; setActive(i); api.current?.open(i, false); } } s.hx = v; s.demoStep++; s.nextDemo = now + (v === null ? 1700 : 900); }; const frame = (now: number) => { s.raf = 0; if (!s.visible || !s.alive) return; const dtRaw = s.last ? (now - s.last) / 1000 : 0.016; const dt = Math.min(0.033, dtRaw); s.last = now; s.frame++; if (!s.t0) { s.t0 = now; s.nextDemo = now + 3600; } demo(now); let moving = reduce ? false : step(dt, now); if (!reduce) { const k = 1 - Math.exp(-dt * 3); const dx = s.px - s.sx, dy = s.py - s.sy; s.sx += dx * k; s.sy += dy * k; if (Math.abs(dx) + Math.abs(dy) > 0.003) moving = true; } if (s.fresh || !canAcc) { draw(1, 0); s.fresh = false; s.count = 1; } else if (moving) { draw(0.55, 1 + (s.frame % 64)); s.count = 4; } else if (s.count < 36) { s.count++; draw(1 / s.count, s.count); } place(); if (shownRef.first) { shownRef.first = false; setShown("gl"); } if (moving && dtRaw > 0.026) s.slow++; else s.slow = Math.max(0, s.slow - 2); if (s.slow > 30 && scale > 0.45) { scale *= 0.82; s.slow = 0; size(); } if (moving) { s.fpsN++; s.fpsT += dtRaw; } box.dataset.fps = s.fpsT > 0 ? (s.fpsN / s.fpsT).toFixed(1) : ""; if (moving || s.count < 36 || (!reduce && !s.touched)) s.raf = requestAnimationFrame(frame); }; const shownRef = { first: true }; const wake = () => { if (!s.raf && s.visible && s.alive) { s.last = 0; s.raf = requestAnimationFrame(frame); } }; size(); const ro = new ResizeObserver(() => { resizeView(); size(); wake(); }); ro.observe(box); const io = new IntersectionObserver(([e]) => { s.visible = e.isIntersecting && !document.hidden; if (s.visible) wake(); }, { threshold: 0.05 }); io.observe(box); const vis = () => { s.visible = !document.hidden; if (s.visible) wake(); }; document.addEventListener("visibilitychange", vis); const move = (e: PointerEvent) => { if (e.pointerType !== "mouse") return; const r = box.getBoundingClientRect(); const x = e.clientX - r.left, y = e.clientY - r.top; if (!reduce) { s.px = (x / r.width) * 2 - 1; s.py = (y / r.height) * 2 - 1; } const c = camera(cssW, cssH, s.sx, s.sy); const [wx, wy] = unproject(c, x, y, cssW, cssH); const { half } = layoutX(s.sc); const over = Math.abs(wx) < half + 0.3 && wy > -0.4 && wy < 2.3; s.touched = true; if (over) { s.hx = wx; const i = Math.max(0, Math.min(N - 1, Math.round((wx + REST_HALF - 0.5) / (1 + GAP)))); setTipI(i); } else if (s.focusI < 0) { s.hx = null; setTipI(-1); } wake(); }; const leave = () => { s.px = 0; s.py = 0; if (s.focusI < 0) { s.hx = null; setTipI(-1); } wake(); }; box.addEventListener("pointermove", move); box.addEventListener("pointerleave", leave); const lost = (e: Event) => { e.preventDefault(); setShown("still"); }; cv.addEventListener("webglcontextlost", lost); wake(); return () => { s.alive = false; cancelAnimationFrame(s.raf); ro.disconnect(); io.disconnect(); document.removeEventListener("visibilitychange", vis); box.removeEventListener("pointermove", move); box.removeEventListener("pointerleave", leave); cv.removeEventListener("webglcontextlost", lost); api.current = null; }; }, []); const onKey = (e: KeyboardEvent) => { const i = btns.current.findIndex((b) => b === document.activeElement); if (i < 0) return; let n = -1; if (e.key === "ArrowRight") n = (i + 1) % N; else if (e.key === "ArrowLeft") n = (i - 1 + N) % N; else if (e.key === "Home") n = 0; else if (e.key === "End") n = N - 1; if (n >= 0) { e.preventDefault(); btns.current[n]?.focus(); } }; const a = apps[active]; return (

{shown !== "gl" && }

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