From 77e6fcc7bebbd4f6a9cdbdc4ecaacb23e5a8ad13 Mon Sep 17 00:00:00 2001 From: Mihawk <163614687+mihawk-99@users.noreply.github.com> Date: Thu, 1 Oct 2026 09:26:26 -0400 Subject: [PATCH] Launcher background: the starry sky over a magenta grid again, drawn by tools/make-title-art.py The v0.5.6-alpha.5 gradient replaced a picture whose origin was not recorded. The script now draws that look itself: a perspective grid fitted to the old one's line positions (vertical lines within 2.4 px rms, the rows within 3.8 px), its tile and line colours fading with depth as measured, and about 2,500 stars placed by a fixed random seed with the old one's count, sizes and brightness. The whole picture's mean colour is within one level of the old one's. The BC7 blocks now come from a mode 6 encoder in the script (49 dB against the drawing, checked with Pillow's decoder), and the DDS header is byte for byte the one the console has shown (4f633ad): the gradient's had left out the mip count and straight alpha. --- sce_sys/pic0.dds | Bin 8294548 -> 8294548 bytes sce_sys/pic1.dds | Bin 8294548 -> 8294548 bytes tooling/notices/components.json | 2 +- tools/make-title-art.py | 311 +++++++++++++++++++++++++------- 4 files changed, 244 insertions(+), 69 deletions(-) diff --git a/sce_sys/pic0.dds b/sce_sys/pic0.dds index e085028ded43703b3353d6aacf9be74e158505ff..51d57887307ba9c248e6393776acdd46b38896f0 100644 GIT binary patch literal 8294548 zcmeEv34B!5+4plN2?0gDlYk_F>YX78)MCv53R){C5CkkO3AnW`gy3G6AX>Grl>wL9 z?ISF$`qm{ZuC;=SRomJe5D_bu@Vc-lCgO%+3lR3?p6`F|ojXae1=DPk$#e1>@y>FW zXFt!Hmp8$>lZcYdW2m?*{^ta|O70>9|L9j!mW3}T;+1!CDCgh)&iwkjMR+SA^0s$P zf#bC9w(_pu-p5iVTIuII_hV84?Gp01!rq_hV?SMxTGwCV24m@d+Z$edeWnNIhuD!{ 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"copyright": ["pic0.dds, pic1.dds: Copyright (C) 2026 Mihawk, GPL-3.0-or-later (drawn by tools/make-title-art.py)", "snd0.at9: Copyright (C) 2026 BlackBearReloaded, GPL-3.0-or-later according to ps5-native-app-boilerplate's NOTICE.md"], "texts": [], "source": {"kind": "git", "path": ".", "remote": "https://github.com/mihawk-99/PS5_RetroArch"}, - "modifications": "icon0.png is the RetroArch logo (libretro's branding); pic0.dds and pic1.dds are a gradient background drawn from nothing but arithmetic by tools/make-title-art.py in this repository (they replaced, in v0.5.6-alpha.5, a background whose origin was not recorded); snd0.at9 is ps5-native-app-boilerplate's default selection track." + "modifications": "icon0.png is the RetroArch logo (libretro's branding); pic0.dds and pic1.dds are a starry sky over a perspective grid, drawn from arithmetic and a fixed random seed by tools/make-title-art.py in this repository (they replaced, in v0.5.6-alpha.5, a background whose origin was not recorded); snd0.at9 is ps5-native-app-boilerplate's default selection track." }, { "id": "fceumm", diff --git a/tools/make-title-art.py b/tools/make-title-art.py index 53fcaf9..75e6ad6 100644 --- a/tools/make-title-art.py +++ b/tools/make-title-art.py @@ -3,17 +3,20 @@ # Copyright (C) 2026 Mihawk-99 # SPDX-License-Identifier: GPL-3.0-or-later # -# The backgrounds are drawn here, from nothing but arithmetic, so their origin -# is this script: a dark gradient with a soft glow, 3840x2160, in the format the -# launcher reads (DDS, DX10 header, BC7_UNORM, one level). +# The backgrounds are drawn here, from arithmetic and a fixed random seed, so +# their origin is this script: a starry night sky over a glowing magenta grid +# that runs to the horizon, 3840x2160, in the format the launcher reads (DDS, +# DX10 header, BC7_UNORM, one level). pic0 and pic1 are the same picture. # -# Each 4x4 block is one colour, which BC7's mode 6 holds exactly (both -# endpoints that colour, every index 0), so no texture compressor is needed -# and the output is the same on every machine. At 4K a 4x4 step is invisible -# in a gradient this gentle. +# The grid is a ground plane seen in perspective: its lines along the view meet +# at a vanishing point above the horizon, its lines across it get closer +# together towards the horizon, and both fade into the night with distance. +# The BC7 blocks come from the small mode 6 encoder below (two endpoints and a +# 4-bit index a pixel), so no texture compressor is needed and a run of the +# script gives the same files every time. # # python3 tools/make-title-art.py write sce_sys/pic0.dds and pic1.dds -# python3 tools/make-title-art.py --png DIR also write PNG previews to DIR +# python3 tools/make-title-art.py --png DIR also write a PNG preview to DIR import struct import sys from pathlib import Path @@ -23,73 +26,246 @@ import numpy as np WIDTH, HEIGHT = 3840, 2160 ROOT = Path(__file__).resolve().parent.parent +# The ground plane: lines along the view meet at (CENTRE_X, VANISH_Y) and are +# SPREAD * (y - VANISH_Y) apart. Line n across the view (0 the farthest) is at +# 1 / (y - ACROSS_Y) = DEPTH[0] + DEPTH[1] n + DEPTH[2] n^2, a gently curved +# spacing; the grid starts at HORIZON_Y. Colours fade with 1 / (y - FOG_Y). +CENTRE_X, VANISH_Y, SPREAD = 1911.8, 992.0, 0.20079 +HORIZON_Y, ACROSS_Y, FOG_Y = 1496.0, 1276.0, 1000.0 +DEPTH = (4.47091e-3, -3.11389e-4, 6.39127e-6) +LINE_HALF_WIDTH = 2.0 # pixels: the bright core of a grid line +GLOW_LENGTH = 6.0 # pixels: how fast the pale glow beside a line fades -def draw(variant: int) -> np.ndarray: - """The picture, one RGB colour per 4x4 block (HEIGHT/4 x WIDTH/4 x 3, 0..1).""" - by, bx = HEIGHT // 4, WIDTH // 4 - y, x = np.mgrid[0:by, 0:bx].astype(np.float64) - u, v = x / (bx - 1), y / (by - 1) - # A diagonal from deep navy to a dark violet - top = np.array([0.035, 0.045, 0.110]) - bottom = np.array([0.095, 0.040, 0.140]) - t = np.clip(0.55 * u + 0.45 * v, 0.0, 1.0)[..., None] - rgb = top * (1 - t) + bottom * t - # A soft glow, placed differently in the two pictures - cx, cy = (0.30, 0.38) if variant == 0 else (0.70, 0.62) - d2 = ((u - cx) * 16 / 9) ** 2 + (v - cy) ** 2 - glow = np.exp(-d2 / 0.09)[..., None] - rgb = rgb + glow * np.array([0.10, 0.14, 0.26]) - # A second, fainter glow in a warmer tone - d2b = ((u - (1 - cx)) * 16 / 9) ** 2 + (v - (1 - cy)) ** 2 - rgb = rgb + np.exp(-d2b / 0.05)[..., None] * np.array([0.09, 0.04, 0.10]) - # A gentle vignette - r2 = ((u - 0.5) * 16 / 9) ** 2 + (v - 0.5) ** 2 - rgb = rgb * (1.0 - 0.35 * np.clip(r2 / 1.1, 0, 1))[..., None] - return np.clip(rgb, 0.0, 1.0) +NIGHT = np.array([6.0, 0.0, 74.0]) # what the far grid fades into +SKY_TOP = np.array([2.0, 0.0, 7.0]) # the sky above the haze +LINE = np.array([255.0, 0.0, 255.0]) # a near grid line's core +GLOW = np.array([20.0, 85.0, 14.0]) # added beside a near line (pale pink) -def bc7_mode6_solid(blocks: np.ndarray) -> bytes: - """BC7 blocks, each one solid colour (8-bit values, odd, alpha 255).""" - c = np.round(blocks * 255).astype(np.uint32) - c = c | 1 # the p-bit (1, for alpha 255) is each value's lowest bit - c7 = c >> 1 # the 7 stored bits - r, g, b = c7[..., 0].ravel(), c7[..., 1].ravel(), c7[..., 2].ravel() - a = np.full_like(r, 127) - # Mode 6: bits 0-6 the mode (bit 6 set), then R0 R1 G0 G1 B0 B1 A0 A1 (7 each), - # P0 P1, then the indices (all 0). Bits count from the low end of the block. - lo = np.full(r.shape, 1 << 6, dtype=np.uint64) - hi = np.zeros(r.shape, dtype=np.uint64) - fields = [r, r, g, g, b, b, a, a] +# The kinds of star: share, Gaussian radius (sigma, pixels), peak brightness +# (above 1 is a saturated disc), and whether it sparkles +STARS = ( + (0.04, (1.0, 1.2), (0.42, 0.55), False), + (0.32, (1.1, 1.3), (0.50, 0.62), False), + (0.09, (1.2, 1.4), (0.70, 0.82), False), + (0.30, (1.38, 1.52), (0.95, 1.05), False), + (0.16, (1.55, 1.75), (1.05, 1.18), False), + (0.07, (1.75, 2.05), (1.30, 1.65), False), + (0.02, (2.5, 3.0), (2.20, 3.00), True), +) + + +def fade(u, centre, scale): + """How much of a colour survives at depth u (1 / pixels below FOG_Y).""" + return 1.0 / (1.0 + np.exp((u - centre) / scale)) + + +def draw() -> np.ndarray: + """The picture as RGB, HEIGHT x WIDTH x 3, values 0..255.""" + y = np.arange(HEIGHT, dtype=np.float64)[:, None] + x = np.arange(WIDTH, dtype=np.float64)[None, :] + img = np.zeros((HEIGHT, WIDTH, 3)) + + # The sky: black, then a deep blue haze down to the horizon + t = np.clip((y - 1000.0) / (HORIZON_Y - 1000.0), 0.0, 1.0) + s = t * t * (3.0 - 2.0 * t) + sky = np.concatenate([SKY_TOP[0] + 5.0 * s, 0.0 * s, SKY_TOP[2] + 67.0 * s], axis=1) + img[:] = sky[:, None, :] + + # The grid, from the horizon down + rows = np.arange(int(HORIZON_Y), HEIGHT) + yg = rows.astype(np.float64)[:, None] + u = 1.0 / (yg - FOG_Y) + # Tiles fade from magenta near by into the night at the horizon + tile = np.stack([NIGHT[0] + (190.0 - NIGHT[0]) * fade(u, 1.285e-3, 0.120e-3), + NIGHT[1] + (30.0 - NIGHT[1]) * fade(u, 1.100e-3, 0.215e-3), + NIGHT[2] + (225.0 - NIGHT[2]) * fade(u, 1.235e-3, 0.150e-3)], axis=-1) + tile = np.broadcast_to(tile, (len(rows), WIDTH, 3)).copy() + # Lines glow further than tiles: theirs fades later + glow_r = fade(u, 1.49e-3, 0.165e-3) + glow_b = fade(u, 1.49e-3, 0.170e-3) + core = np.stack([NIGHT[0] + (267.5 - NIGHT[0]) * glow_r, + np.zeros_like(glow_r), + NIGHT[2] + (264.7 - NIGHT[2]) * glow_b], axis=-1) + core = np.minimum(core, LINE) + # The pale glow beside a line fades with distance as the tiles do + strength = fade(u, 1.285e-3, 0.120e-3)[..., None] + + # Distance to the nearest line along the view (a slanted line through the + # vanishing point), measured across the line + spread = SPREAD * (yg - VANISH_Y) + j = np.round((x - CENTRE_X) / spread) + d_along = np.abs(x - (CENTRE_X + j * spread)) / np.sqrt(1.0 + (j * SPREAD) ** 2) + # Distance to the nearest line across the view + c0, c1, c2 = DEPTH + u_across = 1.0 / (yg - ACROSS_Y) + n = (-c1 - np.sqrt(np.maximum(c1 * c1 - 4.0 * c2 * (c0 - u_across), 0.0))) / (2.0 * c2) + n = np.clip(np.round(n), 0.0, 17.0) + y_line = ACROSS_Y + 1.0 / (c0 + c1 * n + c2 * n * n) + d_across = np.abs(yg - y_line) + # The nearest line's edge: a bright strip glows at the bottom of the frame too + d_across = np.minimum(d_across, np.abs(yg - float(HEIGHT))) + d = np.minimum(d_along, np.broadcast_to(d_across, d_along.shape)) + + glow = np.exp(-np.maximum(d - LINE_HALF_WIDTH, 0.0) / GLOW_LENGTH) + both = np.exp(-np.maximum(d_along - LINE_HALF_WIDTH, 0.0) / GLOW_LENGTH) + \ + np.exp(-np.maximum(np.broadcast_to(d_across, d_along.shape) - LINE_HALF_WIDTH, 0.0) / GLOW_LENGTH) + glow = np.minimum(np.maximum(glow, both), 1.0) + floor = tile + glow[..., None] * GLOW * strength + cover = np.clip(LINE_HALF_WIDTH + 0.5 - d, 0.0, 1.0)[..., None] + floor = floor * (1.0 - cover) + core * cover + img[int(HORIZON_Y):] = floor + + # Stars: round white points over the sky, a little fewer and dimmer towards + # the horizon, a few of them faintly over the far grid. STARS gives each + # kind's share, size and brightness; the brightest sparkle. + rng = np.random.default_rng(20261001) + stars = np.zeros((HEIGHT, WIDTH)) + density = ((0.0, 1.0), (750.0, 0.95), (1000.0, 0.85), (1620.0, 0.8)) + shares = np.cumsum([kind[0] for kind in STARS]) + count = 0 + while count < 2700: + sx, sy = rng.uniform(0, WIDTH), rng.uniform(0, 1620) + if rng.uniform() > np.interp(sy, [d[0] for d in density], [d[1] for d in density]): + continue + count += 1 + dim = 1.0 if sy < 1050 else max(1.0 - 0.55 * (sy - 1050) / (HORIZON_Y - 1050), 0.45) + if sy > HORIZON_Y: + dim *= max(1.0 - (sy - HORIZON_Y) / (1620.0 - HORIZON_Y), 0.0) * 0.5 + _, sizes, amps, sparkle = STARS[min(int(np.searchsorted(shares, rng.uniform())), len(STARS) - 1)] + sigma, amp = rng.uniform(*sizes), rng.uniform(*amps) + r = 18 if sparkle else 8 + x0, x1 = max(int(sx) - r, 0), min(int(sx) + r + 1, WIDTH) + y0, y1 = max(int(sy) - r, 0), min(int(sy) + r + 1, HEIGHT) + py = np.arange(y0, y1)[:, None] + 0.5 - sy + px = np.arange(x0, x1)[None, :] + 0.5 - sx + q = px * px + py * py + spot = amp * np.exp(-q / (2 * sigma * sigma)) + if sparkle: + # A soft halo and sixteen short, thin rays from the edge of the disc + spot += 0.10 * np.exp(-q / (2 * 4.5 * 4.5)) + dist = np.sqrt(q) + reach = np.exp(-np.maximum(dist - 2.0 * sigma, 0.0) / 3.2) * (dist > 1.4 * sigma) + for angle in np.arange(16) * np.pi / 8 + rng.uniform(0, np.pi / 8): + along = px * np.cos(angle) + py * np.sin(angle) + across = -px * np.sin(angle) + py * np.cos(angle) + spot += 0.38 * (along > 0) * np.exp(-across * across / 0.7) * reach + stars[y0:y1, x0:x1] += spot * dim + stars = np.clip(stars, 0.0, 1.0)[..., None] + img = img + (255.0 - img) * stars + return np.clip(img, 0.0, 255.0) + + +# BC7 mode 6: one subset, RGBA endpoints of 7 bits and a p-bit, 4-bit indices +WEIGHTS = np.array([0, 4, 9, 13, 17, 21, 26, 30, 34, 38, 43, 47, 51, 55, 60, 64], dtype=np.int64) + + +def quantise(e: np.ndarray) -> np.ndarray: + """Endpoint colours to the 7 stored bits (the p-bit is 1, for alpha 255).""" + return np.clip(np.round((e - 1.0) / 2.0), 0, 127).astype(np.int64) + + +def palette(q0: np.ndarray, q1: np.ndarray) -> np.ndarray: + """The 16 colours two quantised endpoints give, (blocks, 16, 3).""" + e0, e1 = (q0 * 2 + 1)[:, None, :], (q1 * 2 + 1)[:, None, :] + w = WEIGHTS[None, :, None] + return ((64 - w) * e0 + w * e1 + 32) >> 6 + + +def choose(px: np.ndarray, q0: np.ndarray, q1: np.ndarray): + """Each pixel's best index for these endpoints, and the block's error.""" + pal = palette(q0, q1) + err = ((px[:, :, None, :] - pal[:, None, :, :]) ** 2).sum(-1) + idx = err.argmin(-1) + return idx, np.take_along_axis(err, idx[..., None], -1)[..., 0].sum(-1) + + +def encode_blocks(px: np.ndarray) -> bytes: + """BC7 mode 6 for blocks of 16 RGB pixels (blocks, 16, 3), alpha 255.""" + pf = px.astype(np.float64) + mean = pf.mean(1) + cen = pf - mean[:, None, :] + cov = np.einsum('nki,nkj->nij', cen, cen) + axis = np.ones((len(px), 3)) / np.sqrt(3.0) + for _ in range(8): + axis = np.einsum('nij,nj->ni', cov, axis) + norm = np.sqrt((axis * axis).sum(1, keepdims=True)) + axis = np.where(norm > 1e-9, axis / np.maximum(norm, 1e-9), 1.0 / np.sqrt(3.0)) + proj = np.einsum('nki,ni->nk', cen, axis) + q0 = quantise(mean + proj.min(1, keepdims=True) * axis) + q1 = quantise(mean + proj.max(1, keepdims=True) * axis) + idx, err = choose(px, q0, q1) + # One least-squares refit of the endpoints to the chosen indices + w = WEIGHTS[idx].astype(np.float64) / 64.0 + a, b, c = ((1 - w) ** 2).sum(1), ((1 - w) * w).sum(1), (w * w).sum(1) + d0 = ((1 - w)[..., None] * pf).sum(1) + d1 = (w[..., None] * pf).sum(1) + det = a * c - b * b + ok = det > 1e-9 + safe = np.where(ok, det, 1.0)[:, None] + r0 = quantise(np.where(ok[:, None], (c[:, None] * d0 - b[:, None] * d1) / safe, mean)) + r1 = quantise(np.where(ok[:, None], (a[:, None] * d1 - b[:, None] * d0) / safe, mean)) + idx2, err2 = choose(px, r0, r1) + better = (err2 < err)[:, None] + q0, q1 = np.where(better, r0, q0), np.where(better, r1, q1) + idx = np.where(better, idx2, idx) + # The first pixel's index is stored in 3 bits: swap the ends if it needs 4 + swap = idx[:, 0] >= 8 + q0, q1 = np.where(swap[:, None], q1, q0), np.where(swap[:, None], q0, q1) + idx = np.where(swap[:, None], 15 - idx, idx) + + lo = np.full(len(px), 1 << 6, dtype=np.uint64) # mode 6 + hi = np.zeros(len(px), dtype=np.uint64) pos = 7 - for field in fields: - for bit in range(7): - value = ((field >> bit) & 1).astype(np.uint64) + + def put(value: np.ndarray, bits: int): + nonlocal pos + for bit in range(bits): + v = ((value >> bit) & 1).astype(np.uint64) if pos < 64: - lo |= value << np.uint64(pos) + lo[:] |= v << np.uint64(pos) else: - hi |= value << np.uint64(pos - 64) + hi[:] |= v << np.uint64(pos - 64) pos += 1 - for _ in range(2): # P0, P1 - if pos < 64: - lo |= np.uint64(1) << np.uint64(pos) - else: - hi |= np.uint64(1) << np.uint64(pos - 64) - pos += 1 - out = np.empty(r.shape[0] * 2, dtype=" bytes: + """The picture as BC7 blocks, row of blocks by row of blocks.""" + rgb = np.clip(np.round(img), 0, 255).astype(np.int64) + by, bx = HEIGHT // 4, WIDTH // 4 + blocks = rgb.reshape(by, 4, bx, 4, 3).transpose(0, 2, 1, 3, 4).reshape(by * bx, 16, 3) + step = bx * 16 + return b"".join(encode_blocks(blocks[i:i + step]) for i in range(0, len(blocks), step)) + + def dds_header() -> bytes: - """DDS with a DX10 header: BC7_UNORM (98), 2D, one level.""" - DDSD_CAPS, DDSD_HEIGHT, DDSD_WIDTH, DDSD_PIXELFORMAT, DDSD_LINEARSIZE = 0x1, 0x2, 0x4, 0x1000, 0x80000 - flags = DDSD_CAPS | DDSD_HEIGHT | DDSD_WIDTH | DDSD_PIXELFORMAT | DDSD_LINEARSIZE + """The DDS header of the launcher art the console has shown: DX10, BC7_UNORM + (98), 2D, one level, straight alpha.""" + DDSD_CAPS, DDSD_HEIGHT, DDSD_WIDTH, DDSD_PIXELFORMAT = 0x1, 0x2, 0x4, 0x1000 + DDSD_MIPMAPCOUNT, DDSD_LINEARSIZE = 0x20000, 0x80000 + flags = DDSD_CAPS | DDSD_HEIGHT | DDSD_WIDTH | DDSD_PIXELFORMAT | DDSD_MIPMAPCOUNT | DDSD_LINEARSIZE linear = WIDTH * HEIGHT # BC7: 16 bytes a 4x4 block, one byte a pixel - header = struct.pack("<4sIIIIIII", b"DDS ", 124, flags, HEIGHT, WIDTH, linear, 0, 1) + header = struct.pack("<4sIIIIIII", b"DDS ", 124, flags, HEIGHT, WIDTH, linear, 1, 1) header += b"\0" * 44 # reserved header += struct.pack(" int: if len(sys.argv) == 3 and sys.argv[1] == "--png": png_dir = Path(sys.argv[2]) elif len(sys.argv) != 1: - print(__doc__ or "usage: make-title-art.py [--png DIR]", file=sys.stderr) + print("usage: make-title-art.py [--png DIR]", file=sys.stderr) return 2 - for variant, name in ((0, "pic0.dds"), (1, "pic1.dds")): - blocks = draw(variant) - data = dds_header() + bc7_mode6_solid(blocks) + img = draw() + data = dds_header() + bc7(img) + for name in ("pic0.dds", "pic1.dds"): (ROOT / "sce_sys" / name).write_bytes(data) print(f"sce_sys/{name}: {len(data)} bytes") - if png_dir: - from PIL import Image - png_dir.mkdir(parents=True, exist_ok=True) - pixels = ((np.round(blocks * 255).astype(np.uint8)) | 1).repeat(4, axis=0).repeat(4, axis=1) - Image.fromarray(pixels, "RGB").save(png_dir / name.replace(".dds", ".png")) + if png_dir: + from PIL import Image + png_dir.mkdir(parents=True, exist_ok=True) + Image.fromarray(np.clip(np.round(img), 0, 255).astype(np.uint8), "RGB").save(png_dir / "title-art.png") return 0

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