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xoshiro.jl
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const XREGISTERS = 4
const XSTREAMS = W64 * XREGISTERS
struct Xoshift{P} <: AbstractVRNG{P}
ptr::Ptr{UInt64}
end
@inline Base.pointer(rng::Xoshift) = rng.ptr
struct XoshiftState{P,W} <: AbstractState{P,W}
eins::NTuple{P,SVec{W,UInt64}}
zwei::NTuple{P,SVec{W,UInt64}}
drei::NTuple{P,SVec{W,UInt64}}
vier::NTuple{P,SVec{W,UInt64}}
end
Xoshift(ptr) = Xoshift{XSTREAMS}(ptr)
function randnonzero()
while true
r = rand(UInt64)
iszero(r) || return r
end
end
function initXoshift!(ptr::Ptr{UInt64}, P)
e = randnonzero(); z = randnonzero();
d = randnonzero(); v = randnonzero();
initXoshift!(ptr, P, e, z, d, v)
end
function initXoshift!(ptr::Ptr{UInt64}, P, e::UInt64, z::UInt64, d::UInt64, v::UInt64) # P here means number of streams
for j ∈ 1:P-1
i = P - j
vstore!(ptr, e, 8i); vstore!(ptr, z, 8*(i + P)); vstore!(ptr, d, 8*(i + 2P)); vstore!(ptr, v, 8*(i + 3P));
e, z, d, v = jump(e, z, d, v)
end
vstore!(ptr, e); vstore!(ptr, z, 8P); vstore!(ptr, d, 8*(2P)); vstore!(ptr, v, 8*(3P));
end
function jump(eins, zwei, drei, vier)
e = zero(UInt64); z = zero(UInt64); d = zero(UInt64); v = zero(UInt64)
for u ∈ (0x180ec6d33cfd0aba, 0xd5a61266f0c9392c, 0xa9582618e03fc9aa, 0x39abdc4529b1661c)
for b ∈ 0:63
if u % Bool
e ⊻= eins
z ⊻= zwei
d ⊻= drei
v ⊻= vier
end
u >>>= 1
e, z, d, v = nextstate(e, z, d, v)
end
end
e, z, d, v
end
function seed!(seed::Integer)
i = seed % UInt64
e = z = d = v = zero(UInt64)
increment = 0xa04de531e612e1b9
while any(iszero, (e, z, d, v))
e = ((i * 0x90ce6ecbad5e33b5) + increment)
z = ((e * 0x90ce6ecbad5e33b5) + increment)
d = ((z * 0x90ce6ecbad5e33b5) + increment)
v = ((d * 0x90ce6ecbad5e33b5) + increment)
increment += 0x0000000000000002
end
nstreams = XREGISTERS * Base.Threads.nthreads() * W64
initXoshift!(GLOBAL_vRNGs[], nstreams, e, z, d, v)
end
# @inline function getstate(rng::Xoshift{P}, ::Val{N}, ::Val{W}) where {P,N,W}
# ptr = pointer(rng)
# XoshiftState(
# ntuple(n -> vloada(SVec{W,UInt64}, ptr, W64*(n - 1)), Val{N}()),
# ntuple(n -> vloada(SVec{W,UInt64}, ptr, W64*(n - 1) + W64*P), Val{N}()),
# ntuple(n -> vloada(SVec{W,UInt64}, ptr, W64*(n - 1) + 2W64*P), Val{N}()),
# ntuple(n -> vloada(SVec{W,UInt64}, ptr, W64*(n - 1) + 3W64*P), Val{N}())
# )
# end
@inline function getstate(rng::Xoshift{P}, ::Val{1}, ::Val{W}) where {P,W}
ptr = pointer(rng)
XoshiftState(
(vloada(SVec{W,UInt64}, ptr),),
(vloada(SVec{W,UInt64}, ptr, REGISTER_SIZE*P),),
(vloada(SVec{W,UInt64}, ptr, 2REGISTER_SIZE*P),),
(vloada(SVec{W,UInt64}, ptr, 3REGISTER_SIZE*P),)
)
end
@inline function getstate(rng::Xoshift{P}, ::Val{2}, ::Val{W}) where {P,W}
ptr = pointer(rng)
XoshiftState(
(vloada(SVec{W,UInt64}, ptr ), vloada(SVec{W,UInt64}, ptr, REGISTER_SIZE )),
(vloada(SVec{W,UInt64}, ptr, P*REGISTER_SIZE), vloada(SVec{W,UInt64}, ptr, REGISTER_SIZE*(1 + P))),
(vloada(SVec{W,UInt64}, ptr, 2P*REGISTER_SIZE), vloada(SVec{W,UInt64}, ptr, REGISTER_SIZE*(1 + 2P))),
(vloada(SVec{W,UInt64}, ptr, 3P*REGISTER_SIZE), vloada(SVec{W,UInt64}, ptr, REGISTER_SIZE*(1 + 3P)))
)
end
@inline function getstate(rng::Xoshift{P}, ::Val{4}, ::Val{W}) where {P,W}
ptr = pointer(rng)
RS = REGISTER_SIZE
XoshiftState(
(vloada(SVec{W,UInt64}, ptr ), vloada(SVec{W,UInt64}, ptr, RS ), vloada(SVec{W,UInt64}, ptr, RS* 2 ), vloada(SVec{W,UInt64}, ptr, 3RS )),
(vloada(SVec{W,UInt64}, ptr, P*RS), vloada(SVec{W,UInt64}, ptr, RS*(1 + P)), vloada(SVec{W,UInt64}, ptr, RS*(2 + P)), vloada(SVec{W,UInt64}, ptr, RS*(3 + P))),
(vloada(SVec{W,UInt64}, ptr, 2P*RS), vloada(SVec{W,UInt64}, ptr, RS*(1 + 2P)), vloada(SVec{W,UInt64}, ptr, RS*(2 + 2P)), vloada(SVec{W,UInt64}, ptr, RS*(3 + 2P))),
(vloada(SVec{W,UInt64}, ptr, 3P*RS), vloada(SVec{W,UInt64}, ptr, RS*(1 + 3P)), vloada(SVec{W,UInt64}, ptr, RS*(2 + 3P)), vloada(SVec{W,UInt64}, ptr, RS*(3 + 3P)))
)
end
@inline function storestate!(rng::Xoshift{P}, s::XoshiftState{N,W}) where {P,N,W}
ptr = pointer(rng)
@unpack eins, zwei, drei, vier = s
@inbounds for n ∈ 1:N
vstorea!(rng, eins[n], REGISTER_SIZE*(n-1))
end
@inbounds for n ∈ 1:N
vstorea!(rng, zwei[n], REGISTER_SIZE*((n-1) + P))
end
@inbounds for n ∈ 1:N
vstorea!(rng, drei[n], REGISTER_SIZE*((n-1) + 2P))
end
@inbounds for n ∈ 1:N
vstorea!(rng, vier[n], REGISTER_SIZE*((n-1) + 3P))
end
end
@inline function storestate!(rng::Xoshift{P}, s::XoshiftState{1,W}) where {P,W}
ptr = pointer(rng)
@unpack eins, zwei, drei, vier = s;
@inbounds begin
vstorea!(ptr, eins[1], )
vstorea!(ptr, zwei[1], P*REGISTER_SIZE)
vstorea!(ptr, drei[1], 2P*REGISTER_SIZE)
vstorea!(ptr, vier[1], 3P*REGISTER_SIZE)
end
end
@inline function storestate!(rng::Xoshift{P}, s::XoshiftState{2,W}) where {P,W}
ptr = pointer(rng)
@unpack eins, zwei, drei, vier = s;
@inbounds begin
vstorea!(ptr, eins[1], )
vstorea!(ptr, eins[2], REGISTER_SIZE)
vstorea!(ptr, zwei[1], REGISTER_SIZE* P)
vstorea!(ptr, zwei[2], REGISTER_SIZE*(1 + P))
vstorea!(ptr, drei[1], REGISTER_SIZE* 2P)
vstorea!(ptr, drei[2], REGISTER_SIZE*(1 + 2P))
vstorea!(ptr, vier[1], REGISTER_SIZE* 3P)
vstorea!(ptr, vier[2], REGISTER_SIZE*(1 + 3P))
end
end
@inline function storestate!(rng::Xoshift{P}, s::XoshiftState{4,W}) where {P,W}
ptr = pointer(rng)
@unpack eins, zwei, drei, vier = s;
@inbounds begin
vstorea!(ptr, eins[1], )
vstorea!(ptr, eins[2], REGISTER_SIZE)
vstorea!(ptr, eins[3], REGISTER_SIZE*2)
vstorea!(ptr, eins[4], REGISTER_SIZE*3)
vstorea!(ptr, zwei[1], REGISTER_SIZE* P)
vstorea!(ptr, zwei[2], REGISTER_SIZE*(1 + P))
vstorea!(ptr, zwei[3], REGISTER_SIZE*(2 + P))
vstorea!(ptr, zwei[4], REGISTER_SIZE*(3 + P))
vstorea!(ptr, drei[1], REGISTER_SIZE* 2P)
vstorea!(ptr, drei[2], REGISTER_SIZE*(1 + 2P))
vstorea!(ptr, drei[3], REGISTER_SIZE*(2 + 2P))
vstorea!(ptr, drei[4], REGISTER_SIZE*(3 + 2P))
vstorea!(ptr, vier[1], REGISTER_SIZE* 3P)
vstorea!(ptr, vier[2], REGISTER_SIZE*(1 + 3P))
vstorea!(ptr, vier[3], REGISTER_SIZE*(2 + 3P))
vstorea!(ptr, vier[4], REGISTER_SIZE*(3 + 3P))
end
end
@inline function nextstate(eins, zwei, drei, vier)
t = zwei << 0x0000000000000011
drei = drei ⊻ eins
vier = vier ⊻ zwei
zwei = zwei ⊻ drei
eins = eins ⊻ vier
drei = drei ⊻ t
vier = rotate_right(vier, 0x000000000000002d)
eins, zwei, drei, vier
end
@inline function nextstate(s::XoshiftState{P}, ::Val{1}) where {P}
(eins,) = s.eins;
(zwei,) = s.zwei;
(drei,) = s.drei;
(vier,) = s.vier;
# out = vmul(zwei, 0x000000000000005)
# out = rotate_right(out, 0x0000000000000007)
# out = vmul(out, 0x0000000000000009)
out = vadd(eins, vier)
out = rotate_right(out, 0x0000000000000017)
eins, zwei, drei, vier = nextstate(eins, zwei, drei, vier)
out = vadd(eins, out)
XoshiftState( (eins,), (zwei,), (drei,), (vier,)), (out,)
end
@inline function nextstate(s::XoshiftState{2}, ::Val{2})
(Base.Cartesian.@ntuple 2 eins) = s.eins;
(Base.Cartesian.@ntuple 2 zwei) = s.zwei;
(Base.Cartesian.@ntuple 2 drei) = s.drei;
(Base.Cartesian.@ntuple 2 vier) = s.vier;
# Base.Cartesian.@nexprs 2 n -> out_n = vmul(zwei_n, 0x000000000000005)
# Base.Cartesian.@nexprs 2 n -> out_n = rotate_right(out_n, 0x0000000000000007)
# Base.Cartesian.@nexprs 2 n -> out_n = vmul(out_n, 0x0000000000000009)
Base.Cartesian.@nexprs 2 n -> out_n = vadd(eins_n, vier_n)
Base.Cartesian.@nexprs 2 n -> t_n = zwei_n << 0x0000000000000011
Base.Cartesian.@nexprs 2 n -> out_n = rotate_right(out_n, 0x0000000000000017)
Base.Cartesian.@nexprs 2 n -> drei_n = drei_n ⊻ eins_n
Base.Cartesian.@nexprs 2 n -> vier_n = vier_n ⊻ zwei_n
Base.Cartesian.@nexprs 2 n -> out_n = vadd(eins_n, out_n)
Base.Cartesian.@nexprs 2 n -> zwei_n = zwei_n ⊻ drei_n
Base.Cartesian.@nexprs 2 n -> eins_n = eins_n ⊻ vier_n
Base.Cartesian.@nexprs 2 n -> drei_n = drei_n ⊻ t_n
Base.Cartesian.@nexprs 2 n -> vier_n = rotate_right(vier_n, 0x000000000000002d)
XoshiftState(
(Base.Cartesian.@ntuple 2 eins),
(Base.Cartesian.@ntuple 2 zwei),
(Base.Cartesian.@ntuple 2 drei),
(Base.Cartesian.@ntuple 2 vier)
), Base.Cartesian.@ntuple 2 out
end
@inline function nextstate(s::XoshiftState{4}, ::Val{2})
(Base.Cartesian.@ntuple 4 eins) = s.eins;
(Base.Cartesian.@ntuple 4 zwei) = s.zwei;
(Base.Cartesian.@ntuple 4 drei) = s.drei;
(Base.Cartesian.@ntuple 4 vier) = s.vier;
# Base.Cartesian.@nexprs 2 n -> out_n = vmul(zwei_n, 0x000000000000005)
# Base.Cartesian.@nexprs 2 n -> out_n = rotate_right(out_n, 0x0000000000000007)
# Base.Cartesian.@nexprs 2 n -> out_n = vmul(out_n, 0x0000000000000009)
Base.Cartesian.@nexprs 2 n -> out_n = vadd(eins_n, vier_n)
Base.Cartesian.@nexprs 2 n -> out_n = rotate_right(out_n, 0x0000000000000017)
Base.Cartesian.@nexprs 2 n -> out_n = vadd(eins_n, out_n)
Base.Cartesian.@nexprs 2 n -> t_n = zwei_n << 0x0000000000000011
Base.Cartesian.@nexprs 2 n -> drei_n = drei_n ⊻ eins_n
Base.Cartesian.@nexprs 2 n -> vier_n = vier_n ⊻ zwei_n
Base.Cartesian.@nexprs 2 n -> zwei_n = zwei_n ⊻ drei_n
Base.Cartesian.@nexprs 2 n -> eins_n = eins_n ⊻ vier_n
Base.Cartesian.@nexprs 2 n -> drei_n = drei_n ⊻ t_n
Base.Cartesian.@nexprs 2 n -> vier_n = rotate_right(vier_n, 0x000000000000002d)
XoshiftState(
(Base.Cartesian.@ntuple 4 eins),
(Base.Cartesian.@ntuple 4 zwei),
(Base.Cartesian.@ntuple 4 drei),
(Base.Cartesian.@ntuple 4 vier)
), Base.Cartesian.@ntuple 2 out
end
@inline function nextstate(s::XoshiftState{4}, ::Val{3})
(Base.Cartesian.@ntuple 4 eins) = s.eins;
(Base.Cartesian.@ntuple 4 zwei) = s.zwei;
(Base.Cartesian.@ntuple 4 drei) = s.drei;
(Base.Cartesian.@ntuple 4 vier) = s.vier;
# Base.Cartesian.@nexprs 3 n -> out_n = vmul(zwei_n, 0x000000000000005)
# Base.Cartesian.@nexprs 3 n -> out_n = rotate_right(out_n, 0x0000000000000007)
# Base.Cartesian.@nexprs 3 n -> out_n = vmul(out_n, 0x0000000000000009)
Base.Cartesian.@nexprs 3 n -> out_n = vadd(eins_n, vier_n)
Base.Cartesian.@nexprs 3 n -> out_n = rotate_right(out_n, 0x0000000000000017)
Base.Cartesian.@nexprs 3 n -> out_n = vadd(eins_n, out_n)
Base.Cartesian.@nexprs 3 n -> t_n = zwei_n << 0x0000000000000011
Base.Cartesian.@nexprs 3 n -> drei_n = drei_n ⊻ eins_n
Base.Cartesian.@nexprs 3 n -> vier_n = vier_n ⊻ zwei_n
Base.Cartesian.@nexprs 3 n -> zwei_n = zwei_n ⊻ drei_n
Base.Cartesian.@nexprs 3 n -> eins_n = eins_n ⊻ vier_n
Base.Cartesian.@nexprs 3 n -> drei_n = drei_n ⊻ t_n
Base.Cartesian.@nexprs 3 n -> vier_n = rotate_right(vier_n, 0x000000000000002d)
XoshiftState(
(Base.Cartesian.@ntuple 4 eins),
(Base.Cartesian.@ntuple 4 zwei),
(Base.Cartesian.@ntuple 4 drei),
(Base.Cartesian.@ntuple 4 vier)
), Base.Cartesian.@ntuple 3 out
end
@inline function nextstate(s::XoshiftState{4}, ::Val{4})
(Base.Cartesian.@ntuple 4 eins) = s.eins;
(Base.Cartesian.@ntuple 4 zwei) = s.zwei;
(Base.Cartesian.@ntuple 4 drei) = s.drei;
(Base.Cartesian.@ntuple 4 vier) = s.vier;
# Base.Cartesian.@nexprs 4 n -> out_n = vmul(zwei_n, 0x000000000000005)
# Base.Cartesian.@nexprs 4 n -> out_n = rotate_right(out_n, 0x0000000000000007)
# Base.Cartesian.@nexprs 4 n -> out_n = vmul(out_n, 0x0000000000000009)
Base.Cartesian.@nexprs 4 n -> out_n = vadd(eins_n, vier_n)
Base.Cartesian.@nexprs 4 n -> out_n = rotate_right(out_n, 0x0000000000000017)
Base.Cartesian.@nexprs 4 n -> out_n = vadd(eins_n, out_n)
Base.Cartesian.@nexprs 4 n -> t_n = zwei_n << 0x0000000000000011
Base.Cartesian.@nexprs 4 n -> drei_n = drei_n ⊻ eins_n
Base.Cartesian.@nexprs 4 n -> vier_n = vier_n ⊻ zwei_n
Base.Cartesian.@nexprs 4 n -> zwei_n = zwei_n ⊻ drei_n
Base.Cartesian.@nexprs 4 n -> eins_n = eins_n ⊻ vier_n
Base.Cartesian.@nexprs 4 n -> drei_n = drei_n ⊻ t_n
Base.Cartesian.@nexprs 4 n -> vier_n = rotate_right(vier_n, 0x000000000000002d)
XoshiftState(
(Base.Cartesian.@ntuple 4 eins),
(Base.Cartesian.@ntuple 4 zwei),
(Base.Cartesian.@ntuple 4 drei),
(Base.Cartesian.@ntuple 4 vier)
), Base.Cartesian.@ntuple 4 out
end
@inline function nextstate(s::XoshiftState{2}, ::Val{3})
s, (out_1,out_2) = nextstate(s, Val(2))
s, (out_3,) = nextstate(s, Val(1))
s, Base.Cartesian.@ntuple 3 out
end
@inline function nextstate(s::XoshiftState{2}, ::Val{4})
s, (out_1,out_2) = nextstate(s, Val(2))
s, (out_3,out_4) = nextstate(s, Val(2))
s, Base.Cartesian.@ntuple 4 out
end