From 3950946d6847223dea45c2f43a4bcd04cecae1da Mon Sep 17 00:00:00 2001 From: NunoSempere Date: Sun, 15 Oct 2023 00:33:59 +0100 Subject: [PATCH] tweak: move from array to list --- ocaml/out/samples | Bin 2842784 -> 2843376 bytes ocaml/out/samples.cmi | Bin 1214 -> 1251 bytes ocaml/out/samples.cmx | Bin 1379 -> 1405 bytes ocaml/out/samples.o | Bin 15616 -> 16800 bytes ocaml/samples.ml | 36 +++++++++++++++++++++++++----------- 5 files changed, 25 insertions(+), 11 deletions(-) diff --git a/ocaml/out/samples b/ocaml/out/samples index ac03c5dbdf8268b5a8b82553bb1ddf2d539ea2e7..10c720d7bfdd0daf22fe5c3b4ac388fc93e49b49 100755 GIT binary patch literal 2843376 zcmaf*2|QH)_y6x$$3C{~HI_uOrihjyO7^JGW=WwaEwtE%C_*7r+AM9_C`;02D@ln~ zk`OIKXcaBL*KMxHzwhV4<9{BH=e*82@ArM*bKm#Qoym0H5tg>|xM(zD#JGvs1R2$r z@cd1&sD?l{Ey^PZ7GX>X<5iuQNbn&`_GD45|J6(`PQ!@Oseas0a=SLF{lBV6^&8QV z3Q6TuMs@g)yg$Kd9Z`b8=|FDBOS<{g*8kDlA>@$|#EAa8-QO+rg#NY@|ItAO&H;?* zzuS=`_PdDu-LBu~e|5`u&UW?H{`#orfEzzlY!dsvb38BRVplWQ`<0srLV> z1=>g(QL-;-{DAbws*~(Pnk+|%k^MQo+2T!Z_hc7mUjD1m_M8nybYy=Eu^nfosR92# zLQMXkf{5@_d?4LXX z^X(TC!BX`}D^4b@`&J!WuxR_LDH4qlf3GI8268;I4{2n7YMKdN>~{y5Le^kXNLagB2tXN_(Q9w#|N))78}tBjtxE%C58p%S%@ zi>YVHAadLotdkYdYV}Dh#vVf}F~?Xx331-CaR;NY9h(-57xHTHA{?1?CXc+jhpd1m zVqu!cA}eKHCR{dyo0w<8?o5)_5oO(D@pwdj74RbH7Q&1><7o%Q30b6sq_@fNw(&8> zNim5`RW7`_)guWOgD*y$kBFtwvdqsA+%$_gWk+#>DagY!M}QWmF^;v1eyG2G>9$fc zsr(XI+D`F1#u{?TYYnOm=w)SvvX06gJUomPX6#%Q7K1_DWpS~X%ragE!PMY2Cycc( z^O;pK*<1vRhe2rk)F5t&EV0{zsSspDa@q2v?$D^1Mo*UBvzsQ&OJ_PNpB^W*NzXH? zf*nOzO01H#USuYCh6r?HMY9v8nokr6%rrYTkuHAn$y&l7o|jGAPAIaaxtJF9j=bg3 zOfIt?gC`PFW^Cz9ErCU%(Tph!9)ix`+IhE(#+%O~c+?1U`azx~NkO_J-w{GNC06TY zxumD6H^Ef4B6wz0SaD}%68UP$f*ED=R`ndrAXvs`v6thRTO6m*<=HIBIbq`SEEh7> zRX*t@yC|45vInAgSzNIMtDa7i<-;|ypP;e(*%Ine^zsUvlrokqn@wBe%a}($Q6{{n zL!x|loMl^dWd8vxO^MVvrV3F{uM}hv=2A=+G4TmkQk1hAp_Vy?>mW-&flJJnu|-2A zL24C$8;#JAFpt`4!8RAgo7d;Eo(aK@%PeCgSrbO=(ENsmx%2WJjTvzVqqY(8QJ(cB z<^;p|i~FMl)?_Owf+<|aR8u2j>6vs~MrO>)NJ6oUEqGs&?aJOMXhx5sajEf0SV*LL z`-?Ly4Ak`m8F%B@kz529U#eATEbdLwyk+kTY4VJL3Aa6b8YZ9BNCyrS0;N2(4q|-LiS_J9iS%e(jVw<3VY!#QJh~7-$gZ8|#Z!P)NYRm(1 zhu{%l=tc8Lu?4*uaY?*9Ns-)hZ1=Oz7_$_-0tj*8s6g|~OBUA5orfx>Y9vpN;dZ_B zC&!iG9TzXCXUn9~=xvj@*m7(d4^u)lS)O5aLd4OPi^oci#yrbj%x213u*(R7=%~p~ zh^5VrRcn#0R;d@5D!fxi%r#}EV}2uxeBTMuVx4#;HLU2ad!)R%>I5%|(yocqlaq*8 zt|oIX9o0%EEs0Cs1a~i_q$*i7bEp1t~nRhhNoWGk9rEWzWUf_oA-+fkXz zY@b?`N4M(J)My&PB+jsjDh9zA$Bv4vSg1)j#_=T!>n-6s9}~@!wo6>)=}z|Evx1hw z1dUIaT_LV)P4HL<5VTc%on;Z`D?G*7Z9D`I!A+0#4s$PeeQ!;$UP&_uu5tQ=9>L%f z7SQG9VbRS9P5qn~#;oW-MhuHdEGFpY=7*RBjix3|u&kI|o+`w?vM8Pu6@smDPfw7m zXDz{(MZ_h@x@Hoo1cRm)O+*q=TwLZ7#&lv2&B8TpawgFzmT%Q>XDd+1$1fph!<_HI zZy_Kc%p!<2G-9!maFpsr9>t=}1Y$RPA={cJz$OG~Jkb)Fj-K(fe)^`e21P|KniYM! 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z2}5D*3UW_YRg_}(_pMM?!bI?06}viWlG*FgPn+l{{e3dtupZve6qDp##A(zNMhs(3zXCN|L{jIp^g>Z!CIo6MLaCxpD#gN(cmo5T0OQ2z!&B13sGFv=CAe@yn z5%wS7>jBSJzM0BbTjkk)zHg%PmY6zh8$<%O{Rt{h!#}Hr%kzGiGq_$(#~?DB|9Ml& z>ks-LAN5?G{g3w8bpukz@Z|@>2<;E>-Mb2Yc6rRU`wozb(ueH0HL&gWFU(UuM4RCr KR3?I5{(k_zP0ZE+ diff --git a/ocaml/samples.ml b/ocaml/samples.ml index 7f47e89d..b1bf8440 100644 --- a/ocaml/samples.ml +++ b/ocaml/samples.ml @@ -2,17 +2,27 @@ let pi = acos (-1.) let normal_95_ci_length = 1.6448536269514722 -(* Array manipulation helpers *) -let sumFloats xs = Array.fold_left(fun acc x -> acc +. x) 0.0 xs +(* List manipulation helpers *) +let sumFloats xs = List.fold_left(fun acc x -> acc +. x) 0.0 xs let normalizeXs xs = let sum_xs = sumFloats xs in - Array.map(fun x -> x /. sum_xs) xs + List.map(fun x -> x /. sum_xs) xs let cumsumXs xs = - let _, cum_sum = Array.fold_left(fun (sum, ys) x -> + let _, cum_sum = List.fold_left(fun (sum, ys) x -> let new_sum = sum +. x in new_sum, ys @ [new_sum] ) (0.0, []) xs in cum_sum +let rec nth xs (n: int) = + match xs with + | [] -> None + | y :: ys -> if n = 0 then Some(y) else nth ys (n-1) + (* + Note that this is O(n) access. + That is the cost of using the nice match syntax, + which is not possible with OCaml arrays + *) + let findIndex xs test = let rec recursiveHelper ys i = match ys with @@ -41,18 +51,22 @@ let sampleTo low high = let logstd = (loghigh -. loglow) /. (2.0 -. normal_95_ci_length ) in sampleLognormal logmean logstd -let mixture (samplers: (unit -> float) array) (weights: float array): float option = - if (Array.length samplers == Array.length weights) +let mixture (samplers: (unit -> float) list) (weights: float list): float option = + if (List.length samplers == List.length weights) then None else let normalized_weights = normalizeXs weights in let cumsummed_normalized_weights = cumsumXs normalized_weights in let p = sampleZeroToOne () in let chosenSamplerIndex = findIndex cumsummed_normalized_weights (fun x -> x < p) in - let sample = match chosenSamplerIndex with + let sampler = match chosenSamplerIndex with | None -> None - | Some(i) -> Some (samplers.(i) ()) + | Some(i) -> nth samplers i in + let sample = match sampler with + | None -> None + | Some(f) -> Some(f ()) + in sample let () = @@ -63,9 +77,9 @@ let () = let p1 = 0.8 in let p2 = 0.5 in let p3 = p1 *. p2 in - let weights = [| 1. -. p3; p3 /. 2.; p3 /. 4.; p3/. 4. |] in - let sampler () = mixture [| sample0; sample1; sampleFew; sampleMany |] weights in + let weights = [ 1. -. p3; p3 /. 2.; p3 /. 4.; p3/. 4. ] in + let sampler () = mixture [ sample0; sample1; sampleFew; sampleMany ] weights in let n = 1_000_000 in - let samples = Array.init n (fun _ -> sampler ()) in + let samples = List.init n (fun _ -> sampler ()) in (* let mean = sumFloats samples /. n in *) Printf.printf "Hello world\n"