Rate control: rebuilt per-frame, wired in, and gated at zero drift
FINDINGS 26 stopped the session-5 rate controller before it shipped: it built a lam-ladder of independent whole-sequence encodes and picked frames off it, so SKIP blocks referenced reconstructions the decoder never saw -- 111 of 120 frames drifted. The fix is the structural one 26.1 said it had to be. vq_hybrid is now frame-drivable -- frame_ctx / decide / paint -- and encode() is a thin loop over it. Rate control drives the same three calls, bisects lam per frame under the leaky bucket, and feeds back the frame it actually emitted. The desync has no way to occur, and 09_ratectl_drift.py goes 111/120 -> 0/120. That test is now part of check.sh, which is ~2 min rather than ~40 s. Both overshoots on the worst sustained window are closed for under 1 dB, totals including audio: sasi 137.4 -> 109.5 KB/s (-0.60 dB), scsi 381.6 -> 280.0 KB/s (-0.91 dB). Zero frames hit the lam=800 cliff, so nothing was destroyed to get there. Rate control also makes the display path cheaper -- scsi's median drops 53.6% -> 47.1% -- because raising lam moves blocks to SKIP and V1. Two knobs measured rather than guessed. --rc-floor is worth 0.00 dB on that window and defaults to the profile lam, so rate control cannot regress content that already fits. --prefill defaults to 0 and is documented as a trap: it buys a permission to overshoot of exactly bucket/nframes, and on a 14-frame clip it disables the controller outright. FINDINGS 26.5 was wrong in both halves and 27.6 records it. _paint was not the bottleneck (14% of a frame, though vectorising it was still right at 17.1x) and the ladder was never "minutes" -- those were k-means in build(). What makes per-frame rate control affordable is that VQ.assign depends on neither lam nor prev, so it is cached one frame deep: a 12-step search over 120 frames costs 0.31 s against 49.1 s. Also caught: fixed-lam sasi was already 5% over target on 00020, the clip everyone called easy. Nothing noticed because the profile table quotes PSNR and not bitrate. check.sh: ALL GREEN. Claude-Session: https://claude.ai/code/session_01194oWYW8DQXK1SZ2DnChW6
This commit is contained in:
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@@ -17,6 +17,19 @@ which is cheaper than V4.
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Bitstream per frame (what the 68000 actually parses):
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2 bits/block header, packed: 00=SKIP 01=V1 10=V4 11=RAW
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then the payload in block order: V1 -> 1 index, V4 -> 4, RAW -> 16
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STRUCTURE (session 6). The encoder is FRAME-DRIVABLE: `frame_ctx` / `decide` /
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`paint` expose one frame at a time so a caller can choose `lam` per frame and
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feed back the frame it actually emitted. That is not a convenience -- it is the
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fix for FINDINGS 26.1. This codec is temporally recursive (SKIP copies the
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previous RECONSTRUCTION), so any rate control that picks frames out of
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independently-encoded whole-sequence runs desynchronises the encoder from the
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decoder. `encode()` is now a thin loop over the per-frame API and stays the
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fixed-lam path.
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The split is also what makes rate control affordable: `l1`/`l4g` and their
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errors depend on neither `lam` nor `prev`, so they are computed once per frame
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and a lam search only re-runs the argmin.
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"""
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import numpy as np, sys
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from PIL import Image
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@@ -24,6 +37,11 @@ import vq as VQ
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LUMA = VQ.LUMA
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# byte cost of each mode's payload, per block. The 2-bit header is paid by
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# every block regardless, so it drops out of the mode comparison.
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_HDR_BYTES_PER_BLOCK = 2 / 8.0
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RAW_BYTES = 16.0 # literal palette bytes, never indices
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def blocks_of(idx, pal, bw, bh):
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return VQ.blockify(idx, pal, bw, bh)
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@@ -46,68 +64,163 @@ def build(frames_dir, k1=256, k4=256, iters=16, lam=0.0):
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cb4 = VQ.snap_codebook(C4, pal, 2, 2) # (k4,4) palette idx
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C4s = (pal[cb4].astype(np.float32) * LUMA).reshape(k4, -1)
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return dict(rgb=rgb, pal=pal, idx=idx, H=H, W=W,
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cb1=cb1, C1s=C1s, cb4=cb4, C4s=C4s, k1=k1, k4=k4)
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cb1=cb1, C1s=C1s, cb4=cb4, C4s=C4s, k1=k1, k4=k4,
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nbx=W // 4, nby=H // 4, nb=(W // 4) * (H // 4),
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palw=pal.astype(np.float32) * LUMA)
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def _v1_recon(lab1, cb1, H, W):
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return VQ.unblockify(lab1, cb1, H, W, 4, 4)
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# --- block <-> image reshapes (no copy where numpy can avoid one) -------------
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def to_blocks(a, nbx, nby):
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"""(H,W) -> (nb,4,4) in block raster order."""
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return a.reshape(nby, 4, nbx, 4).transpose(0, 2, 1, 3).reshape(-1, 4, 4)
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def from_blocks(b, nbx, nby):
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"""(nb,4,4) -> (H,W)."""
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return b.reshape(nby, nbx, 4, 4).transpose(0, 2, 1, 3).reshape(nby * 4, nbx * 4)
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def default_idx_bytes(m):
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"""Size of ONE codebook index in the bitstream. k>256 needs 2 bytes, which
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doubles what V1 and V4 actually cost -- an RD model that ignores that
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systematically over-picks V4 and under-reports the bitrate (FINDINGS 14)."""
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return 1 if max(m["k1"], m["k4"]) <= 256 else 2
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# --- per-frame API -----------------------------------------------------------
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def frame_symbols(m, f):
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"""lam- and prev-INDEPENDENT part of a frame: codeword assignments and
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their errors.
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Cached, because a lam search re-uses them unchanged and `VQ.assign` is the
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expensive call in the encoder -- 22.8 of 24.6 ms per frame, measured. That
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cache is what makes per-frame rate control affordable: a 12-step search
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over 120 frames costs 0.3 s, against 49 s for the equivalent done by
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re-running whole-sequence encodes.
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The cache holds ONE frame. Every caller works a frame at a time, and at
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~133 KB of intermediates per frame a whole-sequence cache would cost
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900 MB on a 9.4-minute stream for no benefit."""
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cache = m.get("_sym")
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if cache is not None and cache[0] == f:
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return cache[1]
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pal, W, nb = m["pal"], m["W"], m["nb"]
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im = m["idx"][f]
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B1 = blocks_of(im, pal, 4, 4) # (nb,48)
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l1 = VQ.assign(B1, m["C1s"])
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e1 = ((B1 - m["C1s"][l1]) ** 2).sum(1)
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B4 = blocks_of(im, pal, 2, 2) # (nb*4,12) in 2x2 raster
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l4 = VQ.assign(B4, m["C4s"])
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e4raw = ((B4 - m["C4s"][l4]) ** 2).sum(1)
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# regroup 2x2 blocks into their parent 4x4 block
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q = _group_2x2_into_4x4(np.arange(nb * 4), W)
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e4 = e4raw[q].reshape(nb, 4).sum(1)
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l4g = l4[q].reshape(nb, 4)
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s = dict(l1=l1, e1=e1, l4g=l4g, e4=e4,
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src_blocks=to_blocks(im, m["nbx"], m["nby"]))
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m["_sym"] = (f, s)
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return s
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def frame_ctx(m, f, prev, idx_bytes=None):
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"""Everything needed to decide one frame at any lam, given the frame that
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will actually precede it in the emitted stream."""
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s = frame_symbols(m, f)
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nb = m["nb"]
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if prev is None:
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eS = np.full(nb, np.inf)
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prev_blocks = None
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else:
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# SKIP distortion = this frame against the previous RECONSTRUCTION,
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# in the same luma-weighted space the codebooks were trained in.
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d = ((m["palw"][m["idx"][f]] - m["palw"][prev]) ** 2).sum(2)
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eS = d.reshape(m["nby"], 4, m["nbx"], 4).sum((1, 3)).ravel()
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prev_blocks = to_blocks(prev, m["nbx"], m["nby"])
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return dict(f=f, sym=s, eS=eS, prev_blocks=prev_blocks, nb=nb,
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idx_bytes=default_idx_bytes(m) if idx_bytes is None else idx_bytes)
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def decide(ctx, lam):
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"""Lagrangian mode decision at one lam. Returns (mode, payload bytes).
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Cheap by design: no painting, no image-sized work. A lam search calls this
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a dozen times per frame and paints once."""
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ib = ctx["idx_bytes"]
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s = ctx["sym"]
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cost = np.stack([ctx["eS"],
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s["e1"] + lam * (1.0 * ib),
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s["e4"] + lam * (4.0 * ib),
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np.full(ctx["nb"], lam * RAW_BYTES)])
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mode = np.argmin(cost, axis=0).astype(np.uint8)
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return mode, frame_bytes(mode, ctx["nb"], ib)
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def frame_bytes(mode, nb, idx_bytes):
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nV1 = int((mode == 1).sum()); nV4 = int((mode == 2).sum())
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nR = int((mode == 3).sum())
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return (nb * _HDR_BYTES_PER_BLOCK
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+ (nV1 + nV4 * 4) * idx_bytes + nR * RAW_BYTES)
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def paint(m, ctx, mode):
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"""Reconstruct the frame the decoder will produce for this mode map."""
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nbx, nby = m["nbx"], m["nby"]
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s = ctx["sym"]
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ob = np.empty((ctx["nb"], 4, 4), dtype=np.uint8)
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sel = mode == 0
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if sel.any():
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ob[sel] = ctx["prev_blocks"][sel]
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sel = mode == 1
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if sel.any():
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ob[sel] = m["cb1"][s["l1"][sel]].reshape(-1, 4, 4)
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sel = mode == 2
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if sel.any():
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# (n, sub_y, sub_x, py, px) -> (n, sub_y, py, sub_x, px) -> (n,4,4)
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c = m["cb4"][s["l4g"][sel]].reshape(-1, 2, 2, 2, 2)
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ob[sel] = c.transpose(0, 1, 3, 2, 4).reshape(-1, 4, 4)
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sel = mode == 3
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if sel.any():
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ob[sel] = s["src_blocks"][sel]
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return from_blocks(ob, nbx, nby)
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def encode_frame(m, f, prev, lam, idx_bytes=None):
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"""One frame at one lam against one previous reconstruction."""
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ctx = frame_ctx(m, f, prev, idx_bytes)
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mode, sz = decide(ctx, lam)
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return dict(recon=paint(m, ctx, mode), mode=mode, size=sz,
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l1=ctx["sym"]["l1"], l4g=ctx["sym"]["l4g"], ctx=ctx)
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def encode(m, lam=0.02, skip_thresh=0.0, idx_bytes=None):
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"""lam = lagrangian rate weight (bytes -> squared-error units).
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"""Fixed-lam whole-sequence encode: a loop over the per-frame API.
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lam = lagrangian rate weight (bytes -> squared-error units).
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Higher lam => more V1/SKIP => smaller & softer.
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idx_bytes: size of ONE codebook index in the bitstream. k>256 needs 2 bytes,
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which doubles what V1 and V4 actually cost -- if the RD model ignores that
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it systematically over-picks V4 and under-reports the bitrate. Defaults to
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the value implied by the codebook sizes."""
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For a rate-controlled encode use ratectl.encode_rate_controlled(), which
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drives the same per-frame API and varies lam. Do NOT reassemble a sequence
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out of several fixed-lam runs of this function -- FINDINGS 26.1."""
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if idx_bytes is None:
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idx_bytes = 1 if max(m["k1"], m["k4"]) <= 256 else 2
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pal, idx, H, W = m["pal"], m["idx"], m["H"], m["W"]
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nbx, nby = W // 4, H // 4
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nb = nbx * nby
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recon, modes, sizes = [], [], []
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idx_bytes = default_idx_bytes(m)
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recon, modes, sizes, l1s, l4gs = [], [], [], [], []
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prev = None
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for f, im in enumerate(idx):
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B1 = blocks_of(im, pal, 4, 4) # (nb,48)
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l1 = VQ.assign(B1, m["C1s"])
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e1 = ((B1 - m["C1s"][l1]) ** 2).sum(1)
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B4 = blocks_of(im, pal, 2, 2) # (nb*4,12) in 2x2 raster
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l4 = VQ.assign(B4, m["C4s"])
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e4raw = ((B4 - m["C4s"][l4]) ** 2).sum(1)
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# regroup 2x2 blocks (raster over 8x12... ) into their parent 4x4 block
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q = _group_2x2_into_4x4(np.arange(nb * 4), W)
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e4 = e4raw[q].reshape(nb, 4).sum(1)
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l4g = l4[q].reshape(nb, 4)
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# SKIP: cost of reusing the previous *reconstructed* block
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if prev is None:
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eS = np.full(nb, np.inf)
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else:
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pb = blocks_of(prev, pal, 4, 4)
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eS = ((B1 - pb) ** 2).sum(1)
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# RAW: zero distortion against the palettised source, 16 bytes
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eR = np.zeros(nb)
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# rate-distortion choice: true byte cost per mode. The 2-bit header is
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# paid by every block regardless, so it drops out of the comparison.
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bV1 = 1.0 * idx_bytes
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bV4 = 4.0 * idx_bytes
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bRAW = 16.0 # RAW is literal palette bytes, never indices
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cost = np.stack([eS + lam * 0.0, e1 + lam * bV1,
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e4 + lam * bV4, eR + lam * bRAW])
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mode = np.argmin(cost, axis=0).astype(np.uint8)
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out = np.empty((H, W), dtype=np.uint8)
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_paint(out, mode, l1, l4g, m["cb1"], m["cb4"], prev, nbx, nby, im)
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recon.append(out); modes.append(mode)
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nV1 = int((mode == 1).sum()); nV4 = int((mode == 2).sum())
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nR = int((mode == 3).sum())
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sizes.append(nb * 2 / 8 + (nV1 + nV4 * 4) * idx_bytes + nR * 16)
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prev = out
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return dict(recon=recon, modes=modes, sizes=np.array(sizes), nb=nb)
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for f in range(len(m["idx"])):
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r = encode_frame(m, f, prev, lam, idx_bytes)
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recon.append(r["recon"]); modes.append(r["mode"]); sizes.append(r["size"])
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l1s.append(r["l1"]); l4gs.append(r["l4g"])
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prev = r["recon"]
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return dict(recon=recon, modes=modes, sizes=np.array(sizes),
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l1=l1s, l4g=l4gs, nb=m["nb"])
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def _group_2x2_into_4x4(a, W):
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@@ -119,23 +232,6 @@ def _group_2x2_into_4x4(a, W):
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return g.reshape(-1)
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def _paint(out, mode, l1, l4g, cb1, cb4, prev, nbx, nby, src):
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for b in range(len(mode)):
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by, bx = divmod(b, nbx)
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y, x = by * 4, bx * 4
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mo = mode[b]
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if mo == 0:
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out[y:y+4, x:x+4] = prev[y:y+4, x:x+4]
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elif mo == 1:
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out[y:y+4, x:x+4] = cb1[l1[b]].reshape(4, 4)
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elif mo == 3:
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out[y:y+4, x:x+4] = src[y:y+4, x:x+4]
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else:
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c = cb4[l4g[b]].reshape(2, 2, 2, 2) # (sub_y,sub_x,2,2)
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out[y:y+2, x:x+2] = c[0, 0]; out[y:y+2, x+2:x+4] = c[0, 1]
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out[y+2:y+4, x:x+2] = c[1, 0]; out[y+2:y+4, x+2:x+4] = c[1, 1]
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def evaluate(m, enc, fps=12):
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pal = m["pal"]
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rec = [pal[i] for i in enc["recon"]]
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Block a user