Dragon-s-Lair-X68k/tools/bench/span.lua

-- Measure the cost of a row-linear literal SPAN on the 68000 (FINDINGS 29.5.1).
--
-- FINDINGS 29 proposes one new decoder mode and prices it at
--     4 * (50 + 4L*9.08) cycles for a run of L blocks
-- then labels the whole section DERIVED, NOT MEASURED, because both terms are
-- extrapolations: the 50-cycle per-span overhead is hand-derived, and the 9.08
-- cycles/pixel is a FINDINGS 24 measurement taken at FULL ROW WIDTH with
-- 12-register bursts.  A 4-pixel span cannot burst at all.  Everything session
-- 8 wants to do downstream optimises over the mode set this number decides, so
-- it goes first.
--
-- Method: v5 in tools/bench/blit.s walks a stream of per-row span records and
-- copies each span into GVRAM.  tools/bench/prep_spans.py emits one stream per
-- span length, every one covering the same whole frame, so the work differs
-- only in how finely it is cut.  Regressing
--     cycles = A*spans + B*pixels
-- over the set reads A (the per-span overhead) and B (the per-pixel cost)
-- straight off, and every config also draws a verifiable picture: the frame is
-- cleared before each run and snapshotted after, so a config that timed fast
-- by not writing pixels fails tools/bench/verify_frame256.py.
--
-- MEASUREMENT SCOPE, unchanged from blit.lua: MAME's gvram_w carries no timing,
-- so these are 68000 instruction cycles against zero-wait-state memory -- a
-- LOWER BOUND on real hardware.  Interrupts are masked (SR=$2700).

M = manager.machine
SP = M.devices[":maincpu"].spaces["program"]

local function findfile(n)
  for _,p in ipairs{"../tools/bench/"..n, "tools/bench/"..n, n} do
    local f = io.open(p,"rb"); if f then f:close(); return p end
  end
  error(n.." not found")
end
local MODE = loadfile(findfile("crtc_mode.lua"))()
local SPEC = loadfile("spans_meta.lua")()

local FLAG, VAR, ITER, SPTR = 0x18000, 0x18004, 0x18008, 0x1800C
local STREAM                = 0x90000
local GVRAM, GPAL           = 0xC00000, 0xE82000
local CPUHZ                 = 10000000        -- x68k.cpp:1133, 40_MHz_XTAL/4
local FRAME12               = CPUHZ / 12

local code do local f=io.open("blit.bin","rb"); code=f:read("a"); f:close() end
local blob do local f=io.open("spans.bin","rb"); blob=f:read("a"); f:close() end
local frame do local f=io.open("frame256.bin","rb"); frame=f:read("a"); f:close() end

local function B(i) return string.byte(frame,i) end
local W, H = B(5)*256+B(6), B(7)*256+B(8)
local PAL0 = 9
local YOFF = (MODE.height - H) // 2

-- Identical packing to blit.lua / show_frame256.lua: shared LSB I per entry.
local function pal6(v) return ((v<<2)|(v>>4)) & 0xff end
local function pack(r,g,b)
  local f = {r>>3, g>>3, b>>3}
  local best, bestI = nil, 1
  for I = 0,1 do
    local e = 0
    for c = 1,3 do
      local want = ({r,g,b})[c]
      local d = pal6((f[c]<<1)|I) - want
      e = e + d*d
    end
    if best == nil or e < best then best, bestI = e, I end
  end
  return (f[2]<<11)|(f[1]<<6)|(f[3]<<1)|bestI
end

local function T() local t=M.time; return t.seconds + t.attoseconds/1e18 end
local function P(s) print("[SPAN] "..s) end

-- 148 KB one byte at a time is 148k Lua->C calls; longwords cut that by four.
local function push(addr, s, from, len)
  local i, n = from, len
  while n >= 4 do
    SP:write_u32(addr, (string.unpack(">I4", s, i)))
    addr, i, n = addr+4, i+4, n-4
  end
  while n > 0 do
    SP:write_u8(addr, string.byte(s,i)); addr, i, n = addr+1, i+1, n-1
  end
end

local function clear_picture()      -- so a config that writes nothing is caught
  for y = YOFF, YOFF+H-1 do
    local base = GVRAM + y*1024
    for x = 0, MODE.width-1, 2 do SP:write_u32(base + x*2, 0) end
  end
end

local function setup()
  MODE.apply(SP)
  for y = 0, MODE.height-1 do
    local base = GVRAM + y*1024
    for x = 0, MODE.width-1, 2 do SP:write_u32(base + x*2, 0) end
  end
  for c = 0, 255 do
    local o = PAL0 + c*3
    SP:write_u16(GPAL + c*2, pack(B(o), B(o+1), B(o+2)))
  end
  for i = 1, #code do SP:write_u8(0x10000+i-1, string.byte(code,i)) end
  P(string.format("loaded blit.bin=%d B, %d span configs, picture %dx%d at yoff=%d",
                  #code, #SPEC.configs, W, H, YOFF))
end

local function launch(cfg)
  push(STREAM, blob, cfg.off+1, cfg.len)
  clear_picture()
  -- ~4 emulated seconds per config: 1/56.69 s granularity (crtc_mode.lua)
  -- costs under 0.5%.
  local est = cfg.nspans*(cfg.var == 5 and 60 or (cfg.var == 6 and 50 or 70))
              + cfg.npix*10
  cfg.iter = math.max(4, math.floor(4*CPUHZ/est))
  SP:write_u32(FLAG, 0)
  SP:write_u32(VAR,  cfg.var)
  SP:write_u32(ITER, cfg.iter)
  SP:write_u32(SPTR, STREAM)
  local cpu = M.devices[":maincpu"]
  cpu.state["SR"].value = 0x2700
  cpu.state["SP"].value = 0x8000
  cpu.state["PC"].value = 0x10000
end

local results = {}
local function report(cfg, dt)
  local cyc = dt * CPUHZ / cfg.iter
  results[#results+1] = {cfg=cfg, cyc=cyc}
  P(string.format("v%d span %4s px: %5d spans %6d px  %d iter in %.4f s  ->  %8.0f cyc/frame"
                  .."  %5.2f cyc/px  %5.1f%% of a 12fps frame",
                  cfg.var, cfg.name, cfg.nspans, cfg.npix, cfg.iter, dt, cyc,
                  cyc/cfg.npix, 100*cyc/FRAME12))
end

-- Ordinary least squares on cycles = A*spans + B*pixels, no intercept: the
-- 192 row headers and the outer loop are the only work not attributable to a
-- span or a pixel, and at ~10 cycles a row they are 0.2% of the smallest run.
local function fit(rs)
  local ss,sp,pp,sy,py = 0,0,0,0,0
  for _,r in ipairs(rs) do
    local s,p,y = r.cfg.nspans, r.cfg.npix, r.cyc
    ss=ss+s*s; sp=sp+s*p; pp=pp+p*p; sy=sy+s*y; py=py+p*y
  end
  local det = ss*pp - sp*sp
  return (sy*pp - py*sp)/det, (ss*py - sp*sy)/det
end

-- v7 has two per-pixel costs -- the 24-pixel coarse chain and the 2-pixel fine
-- chain -- so its fit is cycles = A*spans + Bc*coarse_px + Bf*fine_px, solved
-- by plain Gaussian elimination on the 3x3 normal equations.  prep_spans.py
-- picks span lengths so every fine remainder a real span can have (0,4,..,20)
-- appears, which is what makes the three terms separable.
local function fit3(rs)
  local M3 = {{0,0,0,0},{0,0,0,0},{0,0,0,0}}
  for _,r in ipairs(rs) do
    local x = {r.cfg.nspans, r.cfg.cpx, r.cfg.fpx}
    for i=1,3 do
      for j=1,3 do M3[i][j] = M3[i][j] + x[i]*x[j] end
      M3[i][4] = M3[i][4] + x[i]*r.cyc
    end
  end
  for c=1,3 do
    local piv = c
    for r=c+1,3 do if math.abs(M3[r][c]) > math.abs(M3[piv][c]) then piv=r end end
    M3[c], M3[piv] = M3[piv], M3[c]
    for r=1,3 do
      if r ~= c then
        local f = M3[r][c]/M3[c][c]
        for k=c,4 do M3[r][k] = M3[r][k] - f*M3[c][k] end
      end
    end
  end
  return M3[1][4]/M3[1][1], M3[2][4]/M3[2][2], M3[3][4]/M3[3][3]
end

local step, st, t0 = 0, "boot", nil

SUB = emu.add_machine_frame_notifier(function()
  local ok, err = pcall(function()
    local t = T()
    if st == "boot" then
      if t < 3.0 then return end
      setup(); step = 1; launch(SPEC.configs[1]); st, t0 = "running", nil; return
    end
    if st == "running" then
      local fl = SP:read_u32(FLAG)
      if fl == 1 and not t0 then t0 = t; return end
      if fl == 0xFF then
        report(SPEC.configs[step], t - (t0 or t))
        st = "snap"; return
      end
      if t > 900 then P("TIMEOUT flag="..string.format("%08X",fl)); M:exit() end
      return
    end
    if st == "snap" then
      M.video:snapshot()                      -- verified by tools/bench/span.sh
      step = step + 1
      if SPEC.configs[step] then
        launch(SPEC.configs[step]); st, t0 = "running", nil
      else
        st = "finish"
      end
      return
    end
    if st == "finish" then
      P("---- measured (instruction cycles only; real GVRAM adds wait states) ----")
      for _,v in ipairs{5,6,7} do
        local sub = {}
        for _,r in ipairs(results) do if r.cfg.var == v then sub[#sub+1] = r end end
        -- v5's fit is over its BURSTING configs only (span length a multiple of
        -- the 16-pixel burst).  Mixing the remainder-path configs in would hide
        -- the two costs behind one bad line; they are reported against the fit
        -- instead, which is where the remainder shows up as error.
        local fitset = {}
        for _,r in ipairs(sub) do
          if v ~= 5 or r.cfg.p % 16 == 0 then fitset[#fitset+1] = r end
        end
        local A, Bp, Bf
        if v == 7 then
          A, Bp, Bf = fit3(fitset)
          P(string.format("-- v7: cycles = %.1f per span + %.3f per COARSE pixel"
                          .." + %.3f per FINE pixel  (fitted on %d of %d configs)",
                          A, Bp, Bf, #fitset, #sub))
        else
          A, Bp = fit(fitset)
          Bf = Bp
          P(string.format("-- v%d: cycles = %.1f per span + %.3f per pixel"
                          .."  (fitted on %d of %d configs)", v, A, Bp, #fitset, #sub))
        end
        for _,r in ipairs(sub) do
          local model = A*r.cfg.nspans + Bp*r.cfg.cpx + Bf*r.cfg.fpx
          P(string.format("   span %4s px  %8.0f cyc  %5.2f cyc/px  %6.1f cyc/span"
                          .."   vs fit %+6.1f%%", r.cfg.name, r.cyc,
                          r.cyc/r.cfg.npix, r.cyc/r.cfg.nspans, 100*(model/r.cyc-1)))
        end
        -- What the mode decision actually needs: a run of L horizontally
        -- adjacent 4x4 blocks is 4 spans of 4L pixels, one per pixel row, and
        -- v6 pads each to a whole 24-pixel chain unit.
        local line = "   -> cycles per 4x4 block in a run of L blocks: "
        for _,L in ipairs{1,2,4,8,16,64} do
          local px, cyc = 4*L, nil
          if v == 6 then
            px = math.ceil(px/24)*24
            cyc = A + px*Bp
          elseif v == 7 then
            local c = math.floor(px/24)*24
            cyc = A + c*Bp + (px-c)*Bf     -- a multiple of 4 pads to nothing
          else
            cyc = A + px*Bp
          end
          line = line..string.format("L=%d %.0f  ", L, 4*cyc/L)
        end
        P(line.."(V1 is 299.9)")
        if v == 5 then
          P("      v5's fit only holds where 4L is a whole number of 16-pixel bursts.")
          P("      L=1 and L=2 are extrapolations its own measured spans"
            .." contradict: 721 and 482.")
        end
      end
      P("   FINDINGS 29 assumed 50.0 per span + 9.080 per pixel, 4 spans per run")
      M:exit()
    end
  end)
  if not ok then print("[SPAN] LUA ERROR: "..tostring(err)); M:exit() end
end)