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// SPDX-License-Identifier: MIT
// Copyright (c) 2015-2021 Zig Contributors
// This file is part of [zig](https://ziglang.org/), which is MIT licensed.
// The MIT license requires this copyright notice to be included in all copies
// and substantial portions of the software.
//! ISAAC64 - http://www.burtleburtle.net/bob/rand/isaacafa.html
//!
//! Follows the general idea of the implementation from here with a few shortcuts.
//! https://doc.rust-lang.org/rand/src/rand/prng/isaac64.rs.html
const std = @import("std");
const Random = std.rand.Random;
const mem = std.mem;
const Isaac64 = @This();
random: Random,
r: [256]u64,
m: [256]u64,
a: u64,
b: u64,
c: u64,
i: usize,
pub fn init(init_s: u64) Isaac64 {
var isaac = Isaac64{
.random = Random{ .fillFn = fill },
.r = undefined,
.m = undefined,
.a = undefined,
.b = undefined,
.c = undefined,
.i = undefined,
};
// seed == 0 => same result as the unseeded reference implementation
isaac.seed(init_s, 1);
return isaac;
}
fn step(self: *Isaac64, mix: u64, base: usize, comptime m1: usize, comptime m2: usize) void {
const x = self.m[base + m1];
self.a = mix +% self.m[base + m2];
const y = self.a +% self.b +% self.m[@intCast(usize, (x >> 3) % self.m.len)];
self.m[base + m1] = y;
self.b = x +% self.m[@intCast(usize, (y >> 11) % self.m.len)];
self.r[self.r.len - 1 - base - m1] = self.b;
}
fn refill(self: *Isaac64) void {
const midpoint = self.r.len / 2;
self.c +%= 1;
self.b +%= self.c;
{
var i: usize = 0;
while (i < midpoint) : (i += 4) {
self.step(~(self.a ^ (self.a << 21)), i + 0, 0, midpoint);
self.step(self.a ^ (self.a >> 5), i + 1, 0, midpoint);
self.step(self.a ^ (self.a << 12), i + 2, 0, midpoint);
self.step(self.a ^ (self.a >> 33), i + 3, 0, midpoint);
}
}
{
var i: usize = 0;
while (i < midpoint) : (i += 4) {
self.step(~(self.a ^ (self.a << 21)), i + 0, midpoint, 0);
self.step(self.a ^ (self.a >> 5), i + 1, midpoint, 0);
self.step(self.a ^ (self.a << 12), i + 2, midpoint, 0);
self.step(self.a ^ (self.a >> 33), i + 3, midpoint, 0);
}
}
self.i = 0;
}
fn next(self: *Isaac64) u64 {
if (self.i >= self.r.len) {
self.refill();
}
const value = self.r[self.i];
self.i += 1;
return value;
}
fn seed(self: *Isaac64, init_s: u64, comptime rounds: usize) void {
// We ignore the multi-pass requirement since we don't currently expose full access to
// seeding the self.m array completely.
mem.set(u64, self.m[0..], 0);
self.m[0] = init_s;
// prescrambled golden ratio constants
var a = [_]u64{
0x647c4677a2884b7c,
0xb9f8b322c73ac862,
0x8c0ea5053d4712a0,
0xb29b2e824a595524,
0x82f053db8355e0ce,
0x48fe4a0fa5a09315,
0xae985bf2cbfc89ed,
0x98f5704f6c44c0ab,
};
comptime var i: usize = 0;
inline while (i < rounds) : (i += 1) {
var j: usize = 0;
while (j < self.m.len) : (j += 8) {
comptime var x1: usize = 0;
inline while (x1 < 8) : (x1 += 1) {
a[x1] +%= self.m[j + x1];
}
a[0] -%= a[4];
a[5] ^= a[7] >> 9;
a[7] +%= a[0];
a[1] -%= a[5];
a[6] ^= a[0] << 9;
a[0] +%= a[1];
a[2] -%= a[6];
a[7] ^= a[1] >> 23;
a[1] +%= a[2];
a[3] -%= a[7];
a[0] ^= a[2] << 15;
a[2] +%= a[3];
a[4] -%= a[0];
a[1] ^= a[3] >> 14;
a[3] +%= a[4];
a[5] -%= a[1];
a[2] ^= a[4] << 20;
a[4] +%= a[5];
a[6] -%= a[2];
a[3] ^= a[5] >> 17;
a[5] +%= a[6];
a[7] -%= a[3];
a[4] ^= a[6] << 14;
a[6] +%= a[7];
comptime var x2: usize = 0;
inline while (x2 < 8) : (x2 += 1) {
self.m[j + x2] = a[x2];
}
}
}
mem.set(u64, self.r[0..], 0);
self.a = 0;
self.b = 0;
self.c = 0;
self.i = self.r.len; // trigger refill on first value
}
fn fill(r: *Random, buf: []u8) void {
const self = @fieldParentPtr(Isaac64, "random", r);
var i: usize = 0;
const aligned_len = buf.len - (buf.len & 7);
// Fill complete 64-byte segments
while (i < aligned_len) : (i += 8) {
var n = self.next();
comptime var j: usize = 0;
inline while (j < 8) : (j += 1) {
buf[i + j] = @truncate(u8, n);
n >>= 8;
}
}
// Fill trailing, ignoring excess (cut the stream).
if (i != buf.len) {
var n = self.next();
while (i < buf.len) : (i += 1) {
buf[i] = @truncate(u8, n);
n >>= 8;
}
}
}
test "isaac64 sequence" {
var r = Isaac64.init(0);
// from reference implementation
const seq = [_]u64{
0xf67dfba498e4937c,
0x84a5066a9204f380,
0xfee34bd5f5514dbb,
0x4d1664739b8f80d6,
0x8607459ab52a14aa,
0x0e78bc5a98529e49,
0xfe5332822ad13777,
0x556c27525e33d01a,
0x08643ca615f3149f,
0xd0771faf3cb04714,
0x30e86f68a37b008d,
0x3074ebc0488a3adf,
0x270645ea7a2790bc,
0x5601a0a8d3763c6a,
0x2f83071f53f325dd,
0xb9090f3d42d2d2ea,
};
for (seq) |s| {
try std.testing.expect(s == r.next());
}
}
test "isaac64 fill" {
var r = Isaac64.init(0);
// from reference implementation
const seq = [_]u64{
0xf67dfba498e4937c,
0x84a5066a9204f380,
0xfee34bd5f5514dbb,
0x4d1664739b8f80d6,
0x8607459ab52a14aa,
0x0e78bc5a98529e49,
0xfe5332822ad13777,
0x556c27525e33d01a,
0x08643ca615f3149f,
0xd0771faf3cb04714,
0x30e86f68a37b008d,
0x3074ebc0488a3adf,
0x270645ea7a2790bc,
0x5601a0a8d3763c6a,
0x2f83071f53f325dd,
0xb9090f3d42d2d2ea,
};
for (seq) |s| {
var buf0: [8]u8 = undefined;
var buf1: [7]u8 = undefined;
std.mem.writeIntLittle(u64, &buf0, s);
Isaac64.fill(&r.random, &buf1);
try std.testing.expect(std.mem.eql(u8, buf0[0..7], buf1[0..]));
}
}
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