testing vector magnitude calculation
This commit is contained in:
96
magnitest.p8
Normal file
96
magnitest.p8
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@@ -0,0 +1,96 @@
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pico-8 cartridge // http://www.pico-8.com
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version 42
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__lua__
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--magnitest.p8
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--accuracy and perf tests for
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--vector calculation logic
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-- profiler says 67 cycles
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-- 39 lua, 28 system
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function bbs28999alg(dx, dy)
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local d = max(abs(dx),abs(dy))
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local n = min(abs(dx),abs(dy)) / d
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return sqrt(n*n + 1) * d
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end
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-- profiler says 56 cycles
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-- 24 lua, 32 system
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function bbs28999algopt(dx, dy)
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local d,n=abs(dx),abs(dy)
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if (d<n) d,n=n,d
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n/=d
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return (n*n + 1)^0.5 * d
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end
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-- profiler says 18 cycles
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-- 18 lua, 0 system
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function trigalg(dx, dy)
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local s = sin(atan2(dx,dy))
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if (s==0) return abs(dx)
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return abs(dy/s)
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end
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-->8
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function _init()
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gdx,gdy=0,0
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acc=1
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magnitude = 1
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tresult=0
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bresult=0
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delta=0
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end
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function _update60()
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if (btn(0)) gdx -= acc
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if (btn(1)) gdx += acc
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if (btn(2)) gdy -= acc
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if (btn(3)) gdy += acc
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if (btn(4) and btn(5)) gdx,gdy=0,0
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if btn == 0 or btn(4) then
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acc = 1
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elseif btn(5) then
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acc *= 1.1
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else
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acc *= 1.02
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end
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local a,b=abs(gdx),abs(gdy)
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if (b>a) a,b=b,a
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magnitude = 1
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while magnitude < a do
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magnitude *= 2
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end
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bresult=bbs28999algopt(gdx,gdy)
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tresult=trigalg(gdx,gdy)
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delta=tresult-bresult
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end
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cols = {
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6,7,
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[4]=10,
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[8]=9,
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[16]=4,
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[32]=14,
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[64]=15,
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[128]=11,
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[256]=12,
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[512]=13,
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[1024]=8,
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}
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function _draw()
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camera(-63,-63)
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line(0,0,gdx/magnitude,gdy/magnitude,cols[magnitude] or 2)
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rectfill(0,0,gdx/magnitude,0,5)
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rectfill(0,0,0,gdy/magnitude,5)
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print("x: "..tostr(gdx).." y: "..tostr(gdy).."\nbase: "..tostr(bresult).."\ntrig: "..tostr(tresult).."\n\ndiff: "..tostr(delta),-63,-63)
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end
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__gfx__
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00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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00700700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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00077000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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00077000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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00700700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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496
profiling.p8
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496
profiling.p8
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@@ -0,0 +1,496 @@
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pico-8 cartridge // http://www.pico-8.com
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version 42
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__lua__
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-- prof: cpu cycle counter v1.4
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-- BY PANCELOR
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--[[------------------------
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use this cart to precisely
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measure code execution time
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--------------------------------
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★ overview ★
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--------------------------------
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| tab 0 | usage guide |
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| tab 1 | (internals) |
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| tab 2 | your code here |
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--------------------------------
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-----------------------
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-- ★ usage guide ★ --
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-----------------------
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웃: i have two code snippets;
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which one is faster?
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🐱: edit the last tab with your
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snippets, then run the cart.
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it will tell you precisely
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how much cpu it takes to
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run each snippet.
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the results are also copied
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to your clipboard.
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웃: what do the numbers mean?
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🐱: the cpu cost is reported
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as lua and system cycle
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counts. look up stat(1)
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and stat(2) for more info.
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if you're not sure, just
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look at the first number.
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lower is faster (better)
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웃: why "{locals={9}}"
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in the example?
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🐱: accessing local variables
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is faster than global vars.
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so if your test involves
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local variables, simulate
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this by passing them in:
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prof(function(a)
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sqrt(a)
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end,{ locals={9} })
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/!\ /!\ /!\ /!\
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local values from outside
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the current scope are also
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slower to access! example:
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global = 4
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local outer = 4
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prof(function(x)
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local _ = x --fast
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end,function(x)
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local _ = outer --slow
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end,function(x)
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local _ = global --slow
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end,{ locals={4} })
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/!\ /!\ /!\ /!\
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웃: can i do "prof(myfunc)"?
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🐱: no, this sometimes gives
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wrong results! always use
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inline functions:
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prof(function()
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--code for myfunc here
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end)
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as an example, "prof(sin)"
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reports "-2" -- wrong! but
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"prof(function()sin()end)"
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correctly reports "4"
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(see the technical notes at
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the start of the next tab
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for a brief explanation.
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technically, "prof(myfunc)"
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will work if myfunc was made
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by the user, but you will
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risk confusing yourself)
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---------------
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★ method 2 ★
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---------------
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this cart is based on
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code by samhocevar:
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https://www.lexaloffle.com/bbs/?pid=60198#p
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if you do this method, be very
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careful with local/global vars.
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it's very easy to accidentally
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measure the wrong thing.
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here's an example of how to
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measure cycles (ignoring this
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cart and using the old method)
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function _init()
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local a=11.2 -- locals
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local n=1024
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flip()
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local tot1,sys1=stat(1),stat(2)
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for i=1,n do end --calibrate
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local tot2,sys2=stat(1),stat(2)
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for i=1,n do local _=sqrt(a) end --measure
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local tot3,sys3=stat(1),stat(2)
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function cyc(t0,t1,t2) return ((t2-t1)-(t1-t0))*128/n*256/stat(8)*256 end
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local lua = cyc(tot1-sys1,tot2-sys2,tot3-sys3)
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local sys = cyc(sys1,sys2,sys3)
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print(lua.."+"..sys.."="..(lua+sys).." (lua+sys)")
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end
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run this once, see the results,
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then change the "measure" line
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to some other code you want
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to measure.
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note: wrapping the code inside
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"_init()" is required, otherwise
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builtin functions like "sin"
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will be measured wrong.
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(the reason is explained at
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the start of the next tab)
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---------------
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★ method 3 ★
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---------------
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another way to measure cpu cost
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is to run something like this:
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function _draw()
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cls(1)
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local x=9
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for i=1,1000 do
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local a=sqrt(x) --snippet1
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-- local b=x^0.5 --snippet2
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end
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end
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while running, press ctrl-p to
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see the performance monitor.
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the middle number shows how much
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of cpu is being used, as a
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fraction. (0.60 = 60% used)
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now, change the comments on the
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two code snippets inside _draw()
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and re-run. compare the new
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result with the old to determine
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which snippet is faster.
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note: every loop iteration costs
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an additional 2 cycles, so the
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ratio of the two fractions will
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not match the ratio of the
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execution time of the snippets.
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but this method can quickly tell
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you which snippet is faster.
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]]
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-->8
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--[[ profiler.lua
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more info: https://www.lexaloffle.com/bbs/?tid=46117
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usage:
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prof(function()
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memcpy(0,0x200,64)
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end,function()
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poke4(0,peek4(0x200,16))
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end)
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passing locals:
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prof(
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function(a,b)
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local c=(a+1)*(b+1)-1
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end,
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function(a,b)
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local c=a*b+a+b
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end,
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{locals={3,5}}
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)
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getting global/local variables exactly right
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is very tricky; you should always use inline
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functions like above; if you try e.g. prof(sin)
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the results will be wrong.
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# minutiae / notes to self:
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---------------------------
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doing this at top-level is awkward:
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for _=1,n do end -- calibrate
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for _=1,n do sin() end -- measure
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b/c sin is secretly local at top-level,
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so it gives a misleading result (3 cycles).
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do it inside _init instead for a
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more representative result (4 cycles).
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## separate issue:
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------------------
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if you call prof(sin), it gives the wrong result (-2 cycles) because
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it's comparing sin() against noop() (not truly nothing).
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but we want the noop() there for normal inline prof() calls,
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to avoid measuring the cost of the indirection
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(calling func() from inside prof() is irrelevant to
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how cpu-expensive func()'s body is)
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]]
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-- prof(fn1,fn2,...,fnN,[opts])
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--
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-- opts.locals: values to pass
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-- opts.name: text label
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-- opts.n: number of iterations
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function prof(...)
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local funcs={...}
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local opts=type(funcs[#funcs])=="table" and deli(funcs) or {}
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-- build output string
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local msg=""
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local function log(s)
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msg..=s.."\n"
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end
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if opts.name then
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log("prof: "..opts.name)
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end
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for fn in all(funcs) do
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local dat=prof_one(fn,opts)
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log(sub(" "..dat.total,-3)
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.." ("
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..dat.lua
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.." lua, "
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..dat.sys
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.." sys)")
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end
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-- copy to clipboard
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printh(msg,"@clip")
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-- print + pause
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cls()
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stop(msg)
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end
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function prof_one(func, opts)
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opts = opts or {}
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local n = opts.n or 0x200 --how many times to call func
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local locals = opts.locals or {} --locals to pass func
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-- we want to type
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-- local m = 0x80_0000/n
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-- but 8MHz is too large to fit in a pico-8 number,
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-- so we do (0x80_0000>>16)/(n>>16) instead
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-- (n is always an integer, so n>>16 won't lose any bits)
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local m = 0x80/(n>>16)
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assert(0x80/m << 16 == n, "n is too small") -- make sure m didn't overflow
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local fps = stat(8)
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-- given three timestamps (pre-calibration, middle, post-measurement),
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-- calculate how many more CPU cycles func() took compared to noop()
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-- derivation:
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-- T := ((t2-t1)-(t1-t0))/n (frames)
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-- this is the extra time for each func call, compared to noop
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-- this is measured in #-of-frames -- it will be a small fraction for most ops
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-- F := 1/30 (seconds/frame) (or 1/60 if this test is running at 60fps)
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-- this is just the framerate that the tests run at, not the framerate of your game
|
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-- M := 256*256*128 = 0x80_0000 = 8MHz (cycles/second)
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-- (PICO-8 runs at 8MHz; see https://www.lexaloffle.com/dl/docs/pico-8_manual.html#CPU)
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-- cycles := T frames * F seconds/frame * M cycles/second
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-- optimization / working around pico-8's fixed point numbers:
|
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-- T2 := T*n = (t2-t1)-(t1-t0)
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-- M2 := M/n = (M>>16)/(n>>16) := m (e.g. when n is 0x1000, m is 0x800)
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-- cycles := T2*M2*F
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local function cycles(t0,t1,t2)
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local diff = (t2-t1)-(t1-t0)
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local e1 = "must use inline functions -- see usage guide"
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assert(0<=diff,e1)
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local thresh = 0x7fff.ffff/(m/fps)
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local e2 = "code is too large or slow -- try profiling manually with stat(1)"
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assert(diff<=thresh,e2)
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return diff*(m/fps)
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end
|
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|
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local noop = function() end -- this must be local, because func is local
|
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flip() --avoid flipping mid-measurement
|
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local atot,asys=stat(1),stat(2)
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for _=1,n do noop(unpack(locals)) end -- calibrate
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local btot,bsys=stat(1),stat(2)
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for _=1,n do func(unpack(locals)) end -- measure
|
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local ctot,csys=stat(1),stat(2)
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|
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-- gather results
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local tot=cycles(atot,btot,ctot)
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local sys=cycles(asys,bsys,csys)
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return {
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lua=tot-sys,
|
||||
sys=sys,
|
||||
total=tot,
|
||||
}
|
||||
end
|
||||
|
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-->8
|
||||
-- your code here
|
||||
|
||||
--edit me:
|
||||
prof(function(dx,dy)
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local d = max(abs(dx),abs(dy))
|
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local n = min(abs(dx),abs(dy)) / d
|
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return sqrt(n*n + 1) * d
|
||||
end,function(dx, dy)
|
||||
local d,n=abs(dx),abs(dy)
|
||||
if (d<n) d,n=n,d
|
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n/=d
|
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return (n*n + 1)^0.5 * d
|
||||
end,function(dx,dy)
|
||||
local s = sin(atan2(dx,dy))
|
||||
if (s==0) return abs(dx)
|
||||
return abs(dy/s)
|
||||
end,{ locals={3,4} })
|
||||
|
||||
-- "locals" (optional) are
|
||||
-- passed in as args. see the
|
||||
-- usage guide for details.
|
||||
|
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__label__
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__sfx__
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Reference in New Issue
Block a user