From 9f189586a4e4a33950807453dfec6d4d042e51f9 Mon Sep 17 00:00:00 2001 From: Max Slater Date: Tue, 28 Nov 2023 10:09:36 -0500 Subject: [PATCH] flambda-backend: Backport 5 PRNG (#2069) * upgrade runtime4 to 5 prng * update tests --- Makefile | 1 + boot/ocamlc | Bin 3925448 -> 3944961 bytes boot/ocamllex | Bin 381020 -> 394027 bytes ocamltest/.depend | 2 + otherlibs/systhreads4/.depend | 26 - runtime4/Makefile | 4 +- runtime4/dune | 2 +- runtime4/gen_primitives.sh | 2 +- runtime4/prng.c | 71 +++ stdlib/.depend | 20 +- stdlib/random.ml | 573 +++++++++--------- stdlib/random.mli | 183 +++++- .../tests/lib-dynlink-native/main.reference | 2 +- .../tests/lib-random/defaultinit.reference | 4 +- testsuite/tests/lib-random/full_int.reference | 2 +- 15 files changed, 553 insertions(+), 339 deletions(-) create mode 100644 runtime4/prng.c diff --git a/Makefile b/Makefile index 068feaf8398..5ffa6fa7a11 100644 --- a/Makefile +++ b/Makefile @@ -646,6 +646,7 @@ runtime4_COMMON_C_SOURCES = \ obj \ 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zjx_yrG@b0N|JK~lM~@NoV_*F-^Xq>4J8jK(hv+WV;VED<5uVN5JGhcJHiTcp| z;VOM(N@aXe3F>Vl;*0oLU_HV;@S5WC1xw3%F8xi>btUD+%hwgHSh>8Ud{IjI(v>MC zWy?wzmMtt_xo|;BNqNeI!s4>hl)fotCFQGD^lT}*a_Rr6=&0xUrDPP&USGG<3W>slv5ja=;l9{>|)<4-sUitntnKEh1h(0p* zxgU?pxVo!flO2B8c|hj5N=M3$Z!UUUdXs7n%3ev$You6RZ^-2DGn-|nO*L*AIbuwl z%)D*yP103a^S`5{=3hBqx@NsnD`VeI&X#$vy)jdEudnYVue@z_x$IYV*KIO+_H~`* zpr+>^kv(5p+axoN1aFgF?iu{D9Pr!f`=tEvz*re~VCZ@oT|Rk&?6m%ynNpt{d9(C> zI{s$aq40ez;l-;xof0V8- z4)&DM*YxZq^?`Svl&QmZjFs)a8njP}r$@%izIz9~Ew7lm9hEFSwpez3zp|fo&r?w5ZXF($KDMfC#$txEWEnHi&QfO=Q3ktUlju=Uu zp-29`J&{*ha$Ql;u#!a!S3q3^*OTLLN0gKx{Ror zG8@8OrW9XS3W+;VapCY0qY5Vs8{S5J_0zDi6M6H|X4u%VlNnFEX7o6m0-hLFFr@(B c +#include "caml/alloc.h" +#include "caml/bigarray.h" +#include "caml/mlvalues.h" + +/* The L64X128 member of the LXM family. Taken from figure 1 in + "LXM: Better Splittable Pseudorandom Number Generators + (and Almost as Fast)" by Guy L. Steele Jr. and Sebastiano Vigna, + OOPSLA 2021. */ + +static const uint64_t M = 0xd1342543de82ef95; + +struct LXM_state { + uint64_t a; /* per-instance additive parameter (odd) */ + uint64_t s; /* state of the LCG subgenerator */ + uint64_t x[2]; /* state of the XBG subgenerator (not 0) */ +}; + +/* In OCaml, states are represented as a 1D big array of 64-bit integers */ + +#define LXM_val(v) ((struct LXM_state *) Caml_ba_data_val(v)) + +Caml_inline uint64_t rotl(const uint64_t x, int k) { + return (x << k) | (x >> (64 - k)); +} + +CAMLprim uint64_t caml_lxm_next_unboxed(value v) +{ + uint64_t z, q0, q1; + struct LXM_state * st = LXM_val(v); + + /* Combining operation */ + z = st->s + st->x[0]; + /* Mixing function */ + z = (z ^ (z >> 32)) * 0xdaba0b6eb09322e3; + z = (z ^ (z >> 32)) * 0xdaba0b6eb09322e3; + z = (z ^ (z >> 32)); + /* LCG update */ + st->s = st->s * M + st->a; + /* XBG update */ + q0 = st->x[0]; q1 = st->x[1]; + q1 ^= q0; + q0 = rotl(q0, 24); + q0 = q0 ^ q1 ^ (q1 << 16); + q1 = rotl(q1, 37); + st->x[0] = q0; st->x[1] = q1; + /* Return result */ + return z; +} + +CAMLprim value caml_lxm_next(value v) +{ + return caml_copy_int64(caml_lxm_next_unboxed(v)); +} diff --git a/stdlib/.depend b/stdlib/.depend index 14d31401e79..e5593165872 100644 --- a/stdlib/.depend +++ b/stdlib/.depend @@ -242,12 +242,15 @@ stdlib__Complex.cmx : complex.ml \ stdlib__Complex.cmi : complex.mli \ stdlib.cmi stdlib__Condition.cmo : condition.ml \ + stdlib.cmi \ stdlib__Mutex.cmi \ stdlib__Condition.cmi stdlib__Condition.cmx : condition.ml \ + stdlib.cmx \ stdlib__Mutex.cmx \ stdlib__Condition.cmi stdlib__Condition.cmi : condition.mli \ + stdlib.cmi \ stdlib__Mutex.cmi stdlib__Digest.cmo : digest.ml \ stdlib__String.cmi \ @@ -751,25 +754,29 @@ stdlib__Queue.cmi : queue.mli \ stdlib.cmi \ stdlib__Seq.cmi stdlib__Random.cmo : random.ml \ + stdlib__Sys.cmi \ stdlib__String.cmi \ stdlib.cmi \ stdlib__Nativeint.cmi \ stdlib__Int64.cmi \ stdlib__Int32.cmi \ - stdlib__Int.cmi \ + stdlib__Domain.cmi \ stdlib__Digest.cmi \ - stdlib__Char.cmi \ + stdlib__Bytes.cmi \ + stdlib__Bigarray.cmi \ stdlib__Array.cmi \ stdlib__Random.cmi stdlib__Random.cmx : random.ml \ + stdlib__Sys.cmx \ stdlib__String.cmx \ stdlib.cmx \ stdlib__Nativeint.cmx \ stdlib__Int64.cmx \ stdlib__Int32.cmx \ - stdlib__Int.cmx \ + stdlib__Domain.cmx \ stdlib__Digest.cmx \ - stdlib__Char.cmx \ + stdlib__Bytes.cmx \ + stdlib__Bigarray.cmx \ stdlib__Array.cmx \ stdlib__Random.cmi stdlib__Random.cmi : random.mli \ @@ -811,14 +818,17 @@ stdlib__Scanf.cmx : scanf.ml \ stdlib__Scanf.cmi : scanf.mli \ stdlib.cmi stdlib__Semaphore.cmo : semaphore.ml \ + stdlib.cmi \ stdlib__Mutex.cmi \ stdlib__Condition.cmi \ stdlib__Semaphore.cmi stdlib__Semaphore.cmx : semaphore.ml \ + stdlib.cmx \ stdlib__Mutex.cmx \ stdlib__Condition.cmx \ stdlib__Semaphore.cmi -stdlib__Semaphore.cmi : semaphore.mli +stdlib__Semaphore.cmi : semaphore.mli \ + stdlib.cmi stdlib__Seq.cmo : seq.ml \ stdlib.cmi \ stdlib__Lazy.cmi \ diff --git a/stdlib/random.ml b/stdlib/random.ml index ec0b39097bf..d8d639c9fd9 100644 --- a/stdlib/random.ml +++ b/stdlib/random.ml @@ -1,9 +1,9 @@ -# 1 "random.ml" (**************************************************************************) (* *) (* OCaml *) (* *) (* Damien Doligez, projet Para, INRIA Rocquencourt *) +(* Xavier Leroy, projet Cambium, College de France and Inria *) (* *) (* Copyright 1996 Institut National de Recherche en Informatique et *) (* en Automatique. *) @@ -14,136 +14,224 @@ (* *) (**************************************************************************) -(* CR ocaml 5 runtime: we should update this to the OCaml 5 splittable PRNG - - Note (mslater): the interface is now compatible with 5, but - splitting and binary string conversion are unimplemented (they raise) -*) +(* Pseudo-random number generator *) open! Stdlib [@@@ocaml.flambda_o3] -(* Pseudo-random number generator - This is a lagged-Fibonacci F(55, 24, +) with a modified addition - function to enhance the mixing of bits. - If we use normal addition, the low-order bit fails tests 1 and 7 - of the Diehard test suite, and bits 1 and 2 also fail test 7. - If we use multiplication as suggested by Marsaglia, it doesn't fare - much better. - By mixing the bits of one of the numbers before addition (XOR the - 5 high-order bits into the low-order bits), we get a generator that - passes all the Diehard tests. -*) - external random_seed: unit -> int array = "caml_sys_random_seed" module State = struct - type t = { st : int array; mutable idx : int } - - let new_state () = { st = Array.make 55 0; idx = 0 } - let assign st1 st2 = - Array.blit st2.st 0 st1.st 0 55; - st1.idx <- st2.idx - - - let full_init s seed = - let combine accu x = Digest.string (accu ^ Int.to_string x) in - let extract d = - Char.code d.[0] + (Char.code d.[1] lsl 8) + (Char.code d.[2] lsl 16) - + (Char.code d.[3] lsl 24) - in - let seed = if Array.length seed = 0 then [| 0 |] else seed in - let l = Array.length seed in - for i = 0 to 54 do - s.st.(i) <- i; - done; - let accu = ref "x" in - for i = 0 to 54 + Int.max 55 l do - let j = i mod 55 in - let k = i mod l in - accu := combine !accu seed.(k); - s.st.(j) <- (s.st.(j) lxor extract !accu) land 0x3FFFFFFF; (* PR#5575 *) + open Bigarray + + type t = (int64, int64_elt, c_layout) Array1.t + + external next: t -> (int64[@unboxed]) + = "caml_lxm_next" "caml_lxm_next_unboxed" [@@noalloc] + + let create () : t = + Array1.create Int64 C_layout 4 + + let set s i1 i2 i3 i4 = + Array1.unsafe_set s 0 (Int64.logor i1 1L); (* must be odd *) + Array1.unsafe_set s 1 i2; + Array1.unsafe_set s 2 (if i3 <> 0L then i3 else 1L); (* must not be 0 *) + Array1.unsafe_set s 3 (if i4 <> 0L then i4 else 2L) (* must not be 0 *) + + let mk i1 i2 i3 i4 = + let s = create () in + set s i1 i2 i3 i4; s + + let serialization_prefix = + "lxm1:" + (* "lxm" denotes the algorithm currently in use, and '1' is + a version number. We should update this prefix if we change + the Random algorithm or the serialization format, so that users + get a clean error instead of believing that they faithfully + reproduce their previous state and in fact get a different + stream. + + Note that there is no constraint to keep the same + ":" format or message size in future versions, + we could change the format completely if we wanted as long + as there is no confusion possible with the previous formats. *) + + let serialization_prefix_len = + String.length serialization_prefix + + let to_binary_string s = + let prefix = serialization_prefix in + let preflen = serialization_prefix_len in + let buf = Bytes.create (preflen + 4 * 8) in + Bytes.blit_string prefix 0 buf 0 preflen; + for i = 0 to 3 do + Bytes.set_int64_le buf (preflen + i * 8) (Array1.get s i) done; - s.idx <- 0 - - - let make seed = - let result = new_state () in - full_init result seed; - result - - - let make_self_init () = make (random_seed ()) + Bytes.unsafe_to_string buf + + let of_binary_string buf = + let prefix = serialization_prefix in + let preflen = serialization_prefix_len in + if String.length buf <> preflen + 4 * 8 + || not (String.starts_with ~prefix buf) + then + failwith + ("Random.State.of_binary_string: expected a format \ + compatible with OCaml " ^ Sys.ocaml_version); + let i1 = String.get_int64_le buf (preflen + 0 * 8) in + let i2 = String.get_int64_le buf (preflen + 1 * 8) in + let i3 = String.get_int64_le buf (preflen + 2 * 8) in + let i4 = String.get_int64_le buf (preflen + 3 * 8) in + mk i1 i2 i3 i4 + + let assign (dst: t) (src: t) = + Array1.blit src dst let copy s = - let result = new_state () in - assign result s; - result - + let s' = create() in assign s' s; s' + + (* The seed is an array of integers. It can be just one integer, + but it can also be 12 or more bytes. To hide the difference, + we serialize the array as a sequence of bytes, then hash the + sequence with MD5 (Digest.bytes). MD5 gives only 128 bits while + we need 256 bits, so we hash twice with different suffixes. *) + let reinit s seed = + let n = Array.length seed in + let b = Bytes.create (n * 8 + 1) in + for i = 0 to n-1 do + Bytes.set_int64_le b (i * 8) (Int64.of_int seed.(i)) + done; + Bytes.set b (n * 8) '\x01'; + let d1 = Digest.bytes b in + Bytes.set b (n * 8) '\x02'; + let d2 = Digest.bytes b in + set s (String.get_int64_le d1 0) + (String.get_int64_le d1 8) + (String.get_int64_le d2 0) + (String.get_int64_le d2 8) - (* Returns 30 random bits as an integer 0 <= x < 1073741824 *) + let make seed = + let s = create() in reinit s seed; s + + let make_self_init () = + make (random_seed ()) + + let min_int31 = -0x4000_0000 + (* = -2{^30}, which is [min_int] for 31-bit integers *) + let max_int31 = 0x3FFF_FFFF + (* = 2{^30}-1, which is [max_int] for 31-bit integers *) + (* avoid integer literals for these, 32-bit OCaml would reject them: *) + let min_int32 = -(1 lsl 31) + (* = -0x8000_0000 on platforms where [Sys.int_size >= 32] *) + let max_int32 = (1 lsl 31) - 1 + (* = 0x7FFF_FFFF on platforms where [Sys.int_size >= 32] *) + + (* Return 30 random bits as an integer 0 <= x < 2^30 *) let bits s = - s.idx <- (s.idx + 1) mod 55; - let curval = s.st.(s.idx) in - let newval = s.st.((s.idx + 24) mod 55) - + (curval lxor ((curval lsr 25) land 0x1F)) in - let newval30 = newval land 0x3FFFFFFF in (* PR#5575 *) - s.st.(s.idx) <- newval30; - newval30 - - - let rec intaux s n = - let r = bits s in + Int64.to_int (next s) land max_int31 + + (* Return an integer between 0 (included) and [n] (excluded). + [bound] may be any positive [int]. [mask] must be of the form [2{^i}-1] + and greater or equal to [n]. Larger values of [mask] make the function + run faster (fewer samples are rejected). Smaller values of [mask] + are usable on a wider range of OCaml implementations. *) + let rec int_aux s n mask = + (* We start by drawing a non-negative integer in the [ [0, mask] ] range *) + let r = Int64.to_int (next s) land mask in let v = r mod n in - if r - v > 0x3FFFFFFF - n + 1 then intaux s n else v - + (* For uniform distribution of the result between 0 included and [n] + * excluded, the random number [r] must have been drawn uniformly in + * an interval whose length is a multiple of [n]. To achieve this, + * we use rejection sampling on the greatest interval [ [0, k*n-1] ] + * that fits in [ [0, mask] ]. That is, we reject the + * sample if it falls outside of this interval, and draw again. + * This is what the test below does, while carefuly avoiding + * overflows and sparing a division [mask / n]. *) + if r - v > mask - n + 1 then int_aux s n mask else v + + (* Return an integer between 0 (included) and [bound] (excluded). + The bound must fit in 31-bit signed integers. + This function yields the same output regardless of the integer size. *) let int s bound = - if bound > 0x3FFFFFFF || bound <= 0 + if bound > max_int31 || bound <= 0 then invalid_arg "Random.int" - else intaux s bound - - let rec int63aux s n = - let max_int_32 = (1 lsl 30) + 0x3FFFFFFF in (* 0x7FFFFFFF *) - let b1 = bits s in - let b2 = bits s in - let (r, max_int) = - if n <= max_int_32 then - (* 31 random bits on both 64-bit OCaml and JavaScript. - Use upper 15 bits of b1 and 16 bits of b2. *) - let bpos = - (((b2 land 0x3FFFC000) lsl 1) lor (b1 lsr 15)) - in - (bpos, max_int_32) - else - let b3 = bits s in - (* 62 random bits on 64-bit OCaml; unreachable on JavaScript. - Use upper 20 bits of b1 and 21 bits of b2 and b3. *) - let bpos = - ((((b3 land 0x3FFFFE00) lsl 12) lor (b2 lsr 9)) lsl 20) - lor (b1 lsr 10) - in - (bpos, max_int) - in - let v = r mod n in - if r - v > max_int - n + 1 then int63aux s n else v + else int_aux s bound max_int31 + (* Return an integer between 0 (included) and [bound] (excluded). + [bound] may be any positive [int]. *) let full_int s bound = if bound <= 0 then invalid_arg "Random.full_int" - else if bound > 0x3FFFFFFF then - int63aux s bound + (* When the bound fits in 31-bit signed integers, we use the same mask + as in function [int] so as to yield the same output on all platforms + supported by OCaml (32-bit OCaml, 64-bit OCaml, and JavaScript). + When the bound fits in 32-bit signed integers, we use [max_int32] + as the mask so as to yield the same output on all platforms where + [Sys.int_size >= 32] (i.e. JavaScript and 64-bit OCaml). *) else - intaux s bound + int_aux s bound + (if bound <= max_int31 then max_int31 + else if bound <= max_int32 then max_int32 + else max_int) + + (* Return an integer between [min] (included) and [max] (included). + The [nbits] parameter is the size in bits of the signed integers + we draw from [s]. + We must have [-2{^nbits - 1} <= min <= max < 2{^nbits - 1}]. + Moreover, for the iteration to converge quickly, the interval + [[min, max]] should have width at least [2{^nbits - 1}]. + As the width approaches this lower limit, the average number of + draws approaches 2, with a quite high standard deviation (2 + epsilon). *) + let rec int_in_large_range s ~min ~max ~nbits = + let drop = Sys.int_size - nbits in + (* The bitshifts replicate the [nbits]-th bit (sign bit) to higher bits: *) + let r = ((Int64.to_int (next s)) lsl drop) asr drop in + if r < min || r > max then int_in_large_range s ~min ~max ~nbits else r + + (* Return an integer between [min] (included) and [max] (included). + [mask] is as described for [int_aux]. + [nbits] is as described for [int_in_large_range]. *) + let int_in_range_aux s ~min ~max ~mask ~nbits = + let span = max - min + 1 in + if span <= mask (* [span] is small enough *) + && span > 0 (* no overflow occurred when computing [span] *) + then + (* Just draw a number in [[0, span)] and shift it by [min]. *) + min + int_aux s span mask + else + (* Span too large, use the alternative drawing method. *) + int_in_large_range s ~min ~max ~nbits + + (* Return an integer between [min] (included) and [max] (included). + We must have [min <= max]. *) + let int_in_range s ~min ~max = + if min > max then + invalid_arg "Random.int_in_range"; + (* When both bounds fit in 31-bit signed integers, we use parameters + [mask] and [nbits] appropriate for 31-bit integers, so as to + yield the same output on all platforms supported by OCaml. + When both bounds fit in 32-bit signed integers, we use parameters + [mask] and [nbits] appropriate for 32-bit integers, so as to + yield the same output on JavaScript and on 64-bit OCaml. *) + if min >= min_int31 && max <= max_int31 then + int_in_range_aux s ~min ~max ~mask:max_int31 ~nbits:31 + else if min >= min_int32 && max <= max_int32 then + int_in_range_aux s ~min ~max ~mask:max_int32 ~nbits:32 + else + int_in_range_aux s ~min ~max ~mask:max_int ~nbits:Sys.int_size + (* Return 32 random bits as an [int32] *) + let bits32 s = + Int64.to_int32 (next s) + (* Return an [int32] between 0 (included) and [bound] (excluded). *) let rec int32aux s n = - let b1 = Int32.of_int (bits s) in - let b2 = Int32.shift_left (Int32.of_int (bits s land 1)) 30 in - let r = Int32.logor b1 b2 in + let r = Int32.shift_right_logical (bits32 s) 1 in let v = Int32.rem r n in - if Int32.sub r v > Int32.add (Int32.sub Int32.max_int n) 1l + (* Explanation of this test: see comment in [int_aux]. *) + if Int32.(sub r v > add (sub max_int n) 1l) then int32aux s n else v @@ -152,14 +240,33 @@ module State = struct then invalid_arg "Random.int32" else int32aux s bound + (* Return an [int32] between [min] (included) and [max] (included). + We must have [min <= max]. *) + let rec int32_in_range_aux s ~min ~max = + let r = Int64.to_int32 (next s) in + if r < min || r > max then int32_in_range_aux s ~min ~max else r + + let int32_in_range s ~min ~max = + if min > max then + invalid_arg "Random.int32_in_range" + else + let span = Int32.succ (Int32.sub max min) in + (* Explanation of this test: see comment in [int_in_range_aux]. *) + if span <= Int32.zero then + int32_in_range_aux s ~min ~max + else + Int32.add min (int32aux s span) + + (* Return 64 random bits as an [int64] *) + let bits64 s = + next s + (* Return an [int64] between 0 (included) and [bound] (excluded). *) let rec int64aux s n = - let b1 = Int64.of_int (bits s) in - let b2 = Int64.shift_left (Int64.of_int (bits s)) 30 in - let b3 = Int64.shift_left (Int64.of_int (bits s land 7)) 60 in - let r = Int64.logor b1 (Int64.logor b2 b3) in + let r = Int64.shift_right_logical (bits64 s) 1 in let v = Int64.rem r n in - if Int64.sub r v > Int64.add (Int64.sub Int64.max_int n) 1L + (* Explanation of this test: see comment in [int_aux]. *) + if Int64.(sub r v > add (sub max_int n) 1L) then int64aux s n else v @@ -168,178 +275,104 @@ module State = struct then invalid_arg "Random.int64" else int64aux s bound + (* Return an [int64] between [min] (included) and [max] (included). + We must have [min <= max]. *) + let rec int64_in_range_aux s ~min ~max = + let r = next s in + if r < min || r > max then int64_in_range_aux s ~min ~max else r + let int64_in_range s ~min ~max = + if min > max then + invalid_arg "Random.int64_in_range" + else + let span = Int64.succ (Int64.sub max min) in + (* Explanation of this test: see comment in [int_in_range_aux]. *) + if span <= Int64.zero then + int64_in_range_aux s ~min ~max + else + Int64.add min (int64aux s span) + + (* Return 32 or 64 random bits as a [nativeint] *) + let nativebits = + if Nativeint.size = 32 + then fun s -> Nativeint.of_int32 (bits32 s) + else fun s -> Int64.to_nativeint (bits64 s) + + (* Return a [nativeint] between 0 (included) and [bound] (excluded). *) let nativeint = if Nativeint.size = 32 then fun s bound -> Nativeint.of_int32 (int32 s (Nativeint.to_int32 bound)) else fun s bound -> Int64.to_nativeint (int64 s (Int64.of_nativeint bound)) - - (* Returns a float 0 <= x <= 1 with at most 60 bits of precision. *) - let rawfloat s = - let scale = 1073741824.0 (* 2^30 *) - and r1 = Stdlib.float (bits s) - and r2 = Stdlib.float (bits s) - in (r1 /. scale +. r2) /. scale - - + (* Return a [nativeint] between [min] (included) and [max] (included). *) + let nativeint_in_range = + if Nativeint.size = 32 + then fun s ~min ~max -> + Nativeint.of_int32 (int32_in_range s + ~min:(Nativeint.to_int32 min) ~max:(Nativeint.to_int32 max)) + else fun s ~min ~max -> + Int64.to_nativeint (int64_in_range s + ~min:(Int64.of_nativeint min) ~max:(Int64.of_nativeint max)) + + (* Return a float 0 < x < 1 uniformly distributed among the + multiples of 2^-53 *) + let rec rawfloat s = + let b = next s in + let n = Int64.shift_right_logical b 11 in + if n <> 0L then Int64.to_float n *. 0x1.p-53 else rawfloat s + + (* Return a float between 0 and [bound] *) let float s bound = rawfloat s *. bound - let bool s = (bits s land 1 = 0) - - let bits32 s = - let b1 = Int32.(shift_right_logical (of_int (bits s)) 14) in (* 16 bits *) - let b2 = Int32.(shift_right_logical (of_int (bits s)) 14) in (* 16 bits *) - Int32.(logor b1 (shift_left b2 16)) - - let bits64 s = - let b1 = Int64.(shift_right_logical (of_int (bits s)) 9) in (* 21 bits *) - let b2 = Int64.(shift_right_logical (of_int (bits s)) 9) in (* 21 bits *) - let b3 = Int64.(shift_right_logical (of_int (bits s)) 8) in (* 22 bits *) - Int64.(logor b1 (logor (shift_left b2 21) (shift_left b3 42))) - - let nativebits = - if Nativeint.size = 32 - then fun s -> Nativeint.of_int32 (bits32 s) - else fun s -> Int64.to_nativeint (bits64 s) + (* Return a random Boolean *) + let bool s = next s < 0L - let split _ = failwith "Random.split not implemented in OCaml 5 minus." - let to_binary_string _ = failwith "Random.to_binary_string not implemented in OCaml 5 minus." - let of_binary_string _ = failwith "Random.of_binary_string not implemented in OCaml 5 minus." + (* Split a new PRNG off the given PRNG *) + let split s = + let i1 = bits64 s in let i2 = bits64 s in + let i3 = bits64 s in let i4 = bits64 s in + mk i1 i2 i3 i4 end -(* This is the state you get with [init 27182818] and then applying - the "land 0x3FFFFFFF" filter to them. See #5575, #5793, #5977. *) -let default = { - State.st = [| - 0x3ae2522b; 0x1d8d4634; 0x15b4fad0; 0x18b14ace; 0x12f8a3c4; 0x3b086c47; - 0x16d467d6; 0x101d91c7; 0x321df177; 0x0176c193; 0x1ff72bf1; 0x1e889109; - 0x0b464b18; 0x2b86b97c; 0x0891da48; 0x03137463; 0x085ac5a1; 0x15d61f2f; - 0x3bced359; 0x29c1c132; 0x3a86766e; 0x366d8c86; 0x1f5b6222; 0x3ce1b59f; - 0x2ebf78e1; 0x27cd1b86; 0x258f3dc3; 0x389a8194; 0x02e4c44c; 0x18c43f7d; - 0x0f6e534f; 0x1e7df359; 0x055d0b7e; 0x10e84e7e; 0x126198e4; 0x0e7722cb; - 0x1cbede28; 0x3391b964; 0x3d40e92a; 0x0c59933d; 0x0b8cd0b7; 0x24efff1c; - 0x2803fdaa; 0x08ebc72e; 0x0f522e32; 0x05398edc; 0x2144a04c; 0x0aef3cbd; - 0x01ad4719; 0x35b93cd6; 0x2a559d4f; 0x1e6fd768; 0x26e27f36; 0x186f18c3; - 0x2fbf967a; - |]; - State.idx = 0; -} - -let bits () = State.bits default -let int bound = State.int default bound -let full_int bound = State.full_int default bound -let int32 bound = State.int32 default bound -let nativeint bound = State.nativeint default bound -let int64 bound = State.int64 default bound -let float scale = State.float default scale -let bool () = State.bool default -let bits32 () = State.bits32 default -let bits64 () = State.bits64 default -let nativebits () = State.nativebits default - -let full_init seed = State.full_init default seed -let init seed = State.full_init default [| seed |] +let mk_default () = + (* This is the state obtained with [State.make [| 314159265 |]]. *) + State.mk (-6196874289567705097L) + 586573249833713189L + (-8591268803865043407L) + 6388613595849772044L + +let random_key = + Domain.DLS.new_key ~split_from_parent:State.split mk_default + +let bits () = State.bits (Domain.DLS.get random_key) +let int bound = State.int (Domain.DLS.get random_key) bound +let full_int bound = State.full_int (Domain.DLS.get random_key) bound +let int_in_range ~min ~max = + State.int_in_range (Domain.DLS.get random_key) ~min ~max +let int32 bound = State.int32 (Domain.DLS.get random_key) bound +let int32_in_range ~min ~max = + State.int32_in_range (Domain.DLS.get random_key) ~min ~max +let nativeint bound = State.nativeint (Domain.DLS.get random_key) bound +let nativeint_in_range ~min ~max = + State.nativeint_in_range (Domain.DLS.get random_key) ~min ~max +let int64 bound = State.int64 (Domain.DLS.get random_key) bound +let int64_in_range ~min ~max = + State.int64_in_range (Domain.DLS.get random_key) ~min ~max +let float scale = State.float (Domain.DLS.get random_key) scale +let bool () = State.bool (Domain.DLS.get random_key) +let bits32 () = State.bits32 (Domain.DLS.get random_key) +let bits64 () = State.bits64 (Domain.DLS.get random_key) +let nativebits () = State.nativebits (Domain.DLS.get random_key) + +let full_init seed = State.reinit (Domain.DLS.get random_key) seed +let init seed = full_init [| seed |] let self_init () = full_init (random_seed()) +(* Splitting *) + +let split () = State.split (Domain.DLS.get random_key) + (* Manipulating the current state. *) -let get_state () = State.copy default -let set_state s = State.assign default s -let split () = State.split default - -(******************** - -(* Test functions. Not included in the library. - The [chisquare] function should be called with n > 10r. - It returns a triple (low, actual, high). - If low <= actual <= high, the [g] function passed the test, - otherwise it failed. - - Some results: - -init 27182818; chisquare int 100000 1000 -init 27182818; chisquare int 100000 100 -init 27182818; chisquare int 100000 5000 -init 27182818; chisquare int 1000000 1000 -init 27182818; chisquare int 100000 1024 -init 299792643; chisquare int 100000 1024 -init 14142136; chisquare int 100000 1024 -init 27182818; init_diff 1024; chisquare diff 100000 1024 -init 27182818; init_diff 100; chisquare diff 100000 100 -init 27182818; init_diff2 1024; chisquare diff2 100000 1024 -init 27182818; init_diff2 100; chisquare diff2 100000 100 -init 14142136; init_diff2 100; chisquare diff2 100000 100 -init 299792643; init_diff2 100; chisquare diff2 100000 100 -- : float * float * float = (936.754446796632465, 997.5, 1063.24555320336754) -# - : float * float * float = (80., 89.7400000000052387, 120.) -# - : float * float * float = (4858.57864376269, 5045.5, 5141.42135623731) -# - : float * float * float = -(936.754446796632465, 944.805999999982305, 1063.24555320336754) -# - : float * float * float = (960., 1019.19744000000355, 1088.) -# - : float * float * float = (960., 1059.31776000000536, 1088.) -# - : float * float * float = (960., 1039.98463999999512, 1088.) -# - : float * float * float = (960., 1054.38207999999577, 1088.) -# - : float * float * float = (80., 90.096000000005, 120.) -# - : float * float * float = (960., 1076.78720000000612, 1088.) -# - : float * float * float = (80., 85.1760000000067521, 120.) -# - : float * float * float = (80., 85.2160000000003492, 120.) -# - : float * float * float = (80., 80.6220000000030268, 120.) - -*) - -(* Return the sum of the squares of v[i0,i1[ *) -let rec sumsq v i0 i1 = - if i0 >= i1 then 0.0 - else if i1 = i0 + 1 then Stdlib.float v.(i0) *. Stdlib.float v.(i0) - else sumsq v i0 ((i0+i1)/2) +. sumsq v ((i0+i1)/2) i1 - - -let chisquare g n r = - if n <= 10 * r then invalid_arg "chisquare"; - let f = Array.make r 0 in - for i = 1 to n do - let t = g r in - f.(t) <- f.(t) + 1 - done; - let t = sumsq f 0 r - and r = Stdlib.float r - and n = Stdlib.float n in - let sr = 2.0 *. sqrt r in - (r -. sr, (r *. t /. n) -. n, r +. sr) - - -(* This is to test for linear dependencies between successive random numbers. -*) -let st = ref 0 -let init_diff r = st := int r -let diff r = - let x1 = !st - and x2 = int r - in - st := x2; - if x1 >= x2 then - x1 - x2 - else - r + x1 - x2 - - -let st1 = ref 0 -and st2 = ref 0 - - -(* This is to test for quadratic dependencies between successive random - numbers. -*) -let init_diff2 r = st1 := int r; st2 := int r -let diff2 r = - let x1 = !st1 - and x2 = !st2 - and x3 = int r - in - st1 := x2; - st2 := x3; - (x3 - x2 - x2 + x1 + 2*r) mod r - - -********************) +let get_state () = State.copy (Domain.DLS.get random_key) +let set_state s = State.assign (Domain.DLS.get random_key) s \ No newline at end of file diff --git a/stdlib/random.mli b/stdlib/random.mli index 588c3ad34d1..a3a25e73a14 100644 --- a/stdlib/random.mli +++ b/stdlib/random.mli @@ -1,9 +1,9 @@ -# 1 "random.mli" (**************************************************************************) (* *) (* OCaml *) (* *) (* Damien Doligez, projet Para, INRIA Rocquencourt *) +(* Xavier Leroy, projet Cambium, College de France and Inria *) (* *) (* Copyright 1996 Institut National de Recherche en Informatique et *) (* en Automatique. *) @@ -16,57 +16,134 @@ open! Stdlib -(** Pseudo-random number generators (PRNG). *) +(** Pseudo-random number generators (PRNG). + + With multiple domains, each domain has its own generator that evolves + independently of the generators of other domains. When a domain is + created, its generator is initialized by splitting the state + of the generator associated with the parent domain. + + In contrast, all threads within a domain share the same domain-local + generator. Independent generators can be created with the {!Random.split} + function and used with the functions from the {!Random.State} module. + + @before 5.0 Random value generation used a different algorithm. + This affects all the functions in this module which return random values. +*) (** {1 Basic functions} *) val init : int -> unit -(** Initialize the generator, using the argument as a seed. - The same seed will always yield the same sequence of numbers. *) +(** Initialize the domain-local generator, using the argument as a seed. + The same seed will always yield the same sequence of numbers. *) val full_init : int array -> unit (** Same as {!Random.init} but takes more data as seed. *) val self_init : unit -> unit -(** Initialize the generator with a random seed chosen - in a system-dependent way. If [/dev/urandom] is available on - the host machine, it is used to provide a highly random initial - seed. Otherwise, a less random seed is computed from system - parameters (current time, process IDs). *) +(** Initialize the domain-local generator with a random seed chosen + in a system-dependent way. If [/dev/urandom] is available on the host + machine, it is used to provide a highly random initial seed. Otherwise, a + less random seed is computed from system parameters (current time, process + IDs, domain-local state). *) val bits : unit -> int (** Return 30 random bits in a nonnegative integer. - @before 3.12.0 used a different algorithm (affects all the following - functions) *) val int : int -> int (** [Random.int bound] returns a random integer between 0 (inclusive) and [bound] (exclusive). [bound] must be greater than 0 and less - than 2{^30}. *) + than 2{^30}. + + @raise Invalid_argument if [bound] <= 0 or [bound] >= 2{^30}. +*) val full_int : int -> int (** [Random.full_int bound] returns a random integer between 0 (inclusive) and [bound] (exclusive). [bound] may be any positive integer. - If [bound] is less than 2{^30}, [Random.full_int bound] is equal to - {!Random.int}[ bound]. If [bound] is greater than 2{^30} (on 64-bit systems - or non-standard environments, such as JavaScript), [Random.full_int] - returns a value, where {!Random.int} raises {!Invalid_argument}. + If [bound] is less than 2{^31}, + then [Random.full_int bound] yields identical output + across systems with varying [int] sizes. + + If [bound] is less than 2{^30}, + then [Random.full_int bound] is equal to {!Random.int}[ bound]. + + If [bound] is at least 2{^30} + (on 64-bit systems, or non-standard environments such as JavaScript), + then [Random.full_int] returns a value + whereas {!Random.int} raises {!Stdlib.Invalid_argument}. + + @raise Invalid_argument if [bound] <= 0. + + @since 4.13 *) - @since 4.13.0 *) +val int_in_range : min:int -> max:int -> int +(** [Random.int_in_range ~min ~max] returns a random integer + between [min] (inclusive) and [max] (inclusive). + Both [min] and [max] are allowed to be negative; + [min] must be less than or equal to [max]. + + If both bounds fit in 32-bit signed integers + (that is, if -2{^31} <= [min] and [max] < 2{^31}), + then [int_in_range] yields identical output + across systems with varying [int] sizes. + + @raise Invalid_argument if [min > max]. + + @since 5.2 *) val int32 : Int32.t -> Int32.t (** [Random.int32 bound] returns a random integer between 0 (inclusive) - and [bound] (exclusive). [bound] must be greater than 0. *) + and [bound] (exclusive). [bound] must be greater than 0. + + @raise Invalid_argument if [bound] <= 0. +*) + +val int32_in_range : min:int32 -> max:int32 -> int32 +(** [Random.int32_in_range ~min ~max] returns a random integer + between [min] (inclusive) and [max] (inclusive). + Both [min] and [max] are allowed to be negative; + [min] must be less than or equal to [max]. + + @raise Invalid_argument if [min > max]. + + @since 5.2 *) val nativeint : Nativeint.t -> Nativeint.t (** [Random.nativeint bound] returns a random integer between 0 (inclusive) - and [bound] (exclusive). [bound] must be greater than 0. *) + and [bound] (exclusive). [bound] must be greater than 0. + + @raise Invalid_argument if [bound] <= 0. +*) + +val nativeint_in_range : min:nativeint -> max:nativeint -> nativeint +(** [Random.nativeint_in_range ~min ~max] returns a random integer + between [min] (inclusive) and [max] (inclusive). + Both [min] and [max] are allowed to be negative; + [min] must be less than or equal to [max]. + + @raise Invalid_argument if [min > max]. + + @since 5.2 *) val int64 : Int64.t -> Int64.t (** [Random.int64 bound] returns a random integer between 0 (inclusive) - and [bound] (exclusive). [bound] must be greater than 0. *) + and [bound] (exclusive). [bound] must be greater than 0. + + @raise Invalid_argument if [bound] <= 0. +*) + +val int64_in_range : min:int64 -> max:int64 -> int64 +(** [Random.int64_in_range ~min ~max] returns a random integer + between [min] (inclusive) and [max] (inclusive). + Both [min] and [max] are allowed to be negative; + [min] must be less than or equal to [max]. + + @raise Invalid_argument if [min > max]. + + @since 5.2 *) val float : float -> float (** [Random.float bound] returns a random floating-point number @@ -80,18 +157,18 @@ val bool : unit -> bool val bits32 : unit -> Int32.t (** [Random.bits32 ()] returns 32 random bits as an integer between {!Int32.min_int} and {!Int32.max_int}. - @since 4.14.0 *) + @since 4.14 *) val bits64 : unit -> Int64.t (** [Random.bits64 ()] returns 64 random bits as an integer between {!Int64.min_int} and {!Int64.max_int}. - @since 4.14.0 *) + @since 4.14 *) val nativebits : unit -> Nativeint.t (** [Random.nativebits ()] returns 32 or 64 random bits (depending on the bit width of the platform) as an integer between {!Nativeint.min_int} and {!Nativeint.max_int}. - @since 4.14.0 *) + @since 4.14 *) (** {1 Advanced functions} *) @@ -110,8 +187,9 @@ module State : sig (** Create a new state and initialize it with the given seed. *) val make_self_init : unit -> t - (** Create a new state and initialize it with a system-dependent - low-entropy seed. *) + (** Create a new state and initialize it with a random seed chosen + in a system-dependent way. + The seed is obtained as described in {!Random.self_init}. *) val copy : t -> t (** Return a copy of the given state. *) @@ -119,9 +197,13 @@ module State : sig val bits : t -> int val int : t -> int -> int val full_int : t -> int -> int + val int_in_range : t -> min:int -> max:int -> int val int32 : t -> Int32.t -> Int32.t + val int32_in_range : t -> min:int32 -> max:int32 -> int32 val nativeint : t -> Nativeint.t -> Nativeint.t + val nativeint_in_range : t -> min:nativeint -> max:nativeint -> nativeint val int64 : t -> Int64.t -> Int64.t + val int64_in_range : t -> min:int64 -> max:int64 -> int64 val float : t -> float -> float val bool : t -> bool val bits32 : t -> Int32.t @@ -131,18 +213,59 @@ module State : sig use (and update) the given PRNG state instead of the default one. *) - (* CR ocaml 5 runtime: unimplemented *) val split : t -> t + (** Draw a fresh PRNG state from the given PRNG state. + (The given PRNG state is modified.) + The new PRNG is statistically independent from the given PRNG. + Data can be drawn from both PRNGs, in any order, without risk of + correlation. Both PRNGs can be split later, arbitrarily many times. + @since 5.0 *) + val to_binary_string : t -> string + (** Serializes the PRNG state into an immutable sequence of bytes. + See {!of_binary_string} for deserialization. + + The [string] type is intended here for serialization only, the + encoding is not human-readable and may not be printable. + + Note that the serialization format may differ across OCaml + versions. + + @since 5.1 + *) + val of_binary_string : string -> t -end + (** Deserializes a byte sequence obtained by calling + {!to_binary_string}. The resulting PRNG state will produce the + same random numbers as the state that was passed as input to + {!to_binary_string}. + @raise Failure if the input is not in the expected format. + + Note that the serialization format may differ across OCaml + versions. + + Unlike the functions provided by the {!Marshal} module, this + function either produces a valid state or fails cleanly with + a [Failure] exception. It can be safely used on user-provided, + untrusted inputs. + + @since 5.1 + *) +end val get_state : unit -> State.t -(** Return the current state of the generator used by the basic functions. *) +(** [get_state()] returns a fresh copy of the current state of the + domain-local generator (which is used by the basic functions). *) val set_state : State.t -> unit -(** Set the state of the generator used by the basic functions. *) +(** [set_state s] updates the current state of the domain-local + generator (which is used by the basic functions) by copying + the state [s] into it. *) -(* CR ocaml 5 runtime: unimplemented *) val split : unit -> State.t +(** Draw a fresh PRNG state from the current state of the domain-local + generator used by the default functions. + (The state of the domain-local generator is modified.) + See {!Random.State.split}. + @since 5.0 *) \ No newline at end of file diff --git a/testsuite/tests/lib-dynlink-native/main.reference b/testsuite/tests/lib-dynlink-native/main.reference index e6d6be749a6..bd628d207b0 100644 --- a/testsuite/tests/lib-dynlink-native/main.reference +++ b/testsuite/tests/lib-dynlink-native/main.reference @@ -6,7 +6,7 @@ Registering module Plugin2 1 2 6 -1 +2 Raised by primitive operation at Plugin2.foo in file "plugin2.ml", line 4, characters 38-64 Called from Plugin2.test_frametable in file "plugin2.ml", line 10, characters 2-72 Called from Plugin2 in file "plugin2.ml", line 19, characters 2-20 diff --git a/testsuite/tests/lib-random/defaultinit.reference b/testsuite/tests/lib-random/defaultinit.reference index 943addd1bd3..9d2c43cf792 100644 --- a/testsuite/tests/lib-random/defaultinit.reference +++ b/testsuite/tests/lib-random/defaultinit.reference @@ -1,4 +1,4 @@ - 344 685 182 641 439 500 104 20 921 370 217 885 949 678 615 412 401 606 428 869 289 + 754 262 510 865 996 861 495 37 283 434 98 495 144 34 806 28 180 58 416 138 654 - 122.128067547 461.324792129 360.006556146 768.75882284 396.500946942 190.217751234 567.660068681 403.59226778 59.8488223602 363.816246826 764.705761642 172.627051105 481.861849093 399.173195422 629.424106752 391.547032203 676.701133948 174.382120878 994.425675487 585.00027757 34.3270777955 + 889.820262688 163.886958714 809.261276959 163.701988701 285.093960955 159.853482937 753.952858458 718.309149819 113.116488344 275.531702635 844.229063886 592.96154003 974.771041906 295.713668995 374.084883719 600.675753364 478.414704679 821.538029441 193.559890207 858.508699222 795.477498048 All tests succeeded. diff --git a/testsuite/tests/lib-random/full_int.reference b/testsuite/tests/lib-random/full_int.reference index a3408fb8b26..620db675b37 100644 --- a/testsuite/tests/lib-random/full_int.reference +++ b/testsuite/tests/lib-random/full_int.reference @@ -1 +1 @@ -6beb775a +3a2bb8b8